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authorKarl Berry <karl@freefriends.org>2014-03-24 20:40:33 +0000
committerKarl Berry <karl@freefriends.org>2014-03-24 20:40:33 +0000
commit2927003e80f56661b8f50c41aa5d7bc9e856c715 (patch)
tree8b6184573219338a97ec92f45c10f7383fb7a2d7 /Master
parent4f3b9c7ff161d965270d1ad1370d522df78fe64a (diff)
pst-solides3d (24mar14)
git-svn-id: svn://tug.org/texlive/trunk@33273 c570f23f-e606-0410-a88d-b1316a301751
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-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/parrot.eps6571
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-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.bbl57
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-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.blg46
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-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.dvibin0 -> 13686148 bytes
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.glg12
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.glo0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.gls0
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-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.ind665
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.log9769
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.out199
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.pdfbin0 -> 2381369 bytes
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.ps360966
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.tex (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/pst-solides3d-doc.tex)27
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.toc256
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/rocket.obj (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/rocket.obj)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-couleurs.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-couleurs.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-faces.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-faces.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-io.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-io.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-sommets.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-sommets.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/sommets_nefer.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/sommets_nefer.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/sommets_nefer0.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/sommets_nefer0.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tiger.eps7096
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-couleurs.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-couleurs.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-faces.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-faces.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-io.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-io.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-sommets.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-sommets.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-couleurs.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-couleurs.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-faces.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-faces.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-io.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-io.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-sommets.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-sommets.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-couleurs.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-couleurs.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-faces.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-faces.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-io.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-io.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-sommets.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-sommets.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-couleurs.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-couleurs.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-faces.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-faces.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-io.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-io.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-sommets.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-sommets.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-couleurs.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-couleurs.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-faces.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-faces.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-io.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-io.dat)0
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-sommets.dat (renamed from Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-sommets.dat)0
-rw-r--r--Master/texmf-dist/dvips/pst-solides3d/pst-solides3d.pro4
-rw-r--r--Master/texmf-dist/tex/generic/pst-solides3d/pst-solides3d.tex148
155 files changed, 387925 insertions, 94 deletions
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/Changes b/Master/texmf-dist/doc/generic/pst-solides3d/Changes
deleted file mode 100644
index 7552030bcd8..00000000000
--- a/Master/texmf-dist/doc/generic/pst-solides3d/Changes
+++ /dev/null
@@ -1,35 +0,0 @@
-pst-solides3d.tex ---
-4.24 2011-07-13 - take value of resolution into account
-4.23 2010-09-22 - add option axisemph to the axesboxed option
-4.22 2010-08-06 - reset boolean solidmemory to false, when closing
- a pspicture environemnt.
-4.21 2010-08-02 - insert missing \tx@setTransparencx for \psSolid
-4.20 2010-07-23 - activate keyword planmarks for gridIIID for
- supprsssing ticks and labels (hv)
- - fix bug in \pstProjection (missing gsave ... grestore) (jpv)
-4.19 2010-04-30 - add keyword numsep
- - add \psResetSolidKeys for all key defaults
-4.18 2010-04-14 - set "ngrid=" to an empty value
- - some modifcations to the code
-4.17 2009-12-14 - moved the algebraic option into the base pstricks.tex
-4.16 2009-08-11 - fix for introduced bug in \psSolid (hv)
-4.15 2009-07-03 - allow names for the origin coordidates for \psSolid (hv)
-
-
-pst-solides3d.sty ---
-2009-07-25 - current version (hv)
-
-
-solides.pro ---
-4.22 2012-12-18 - translate french color names to english
-4.21 2011-07-13 - take value of resolution into account
-4.16 2010-01-07 - fix bug with pst-surfaceparametre and function def
-4.15 2009-07-03 - allow names for the origin coordidates for \psSolid (hv)
-4.14 2009-02-27 - Ajout de la coloration en fonction de la hauteur z. (jpv)
- - Ajout de la macro /solidcolorz dans solides.pro (jpv)
-4.13 2008-10-29 - Suppression du clipping lors des projections.
- Ajout p3dtoplane et pplaneto3d (jpv)
-4.12 2008-10-21 - Correction bug sur newparallelepiped (jpv)
-
-
-
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/README b/Master/texmf-dist/doc/generic/pst-solides3d/README
index 2b77851b78f..a9d2b236b63 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/README
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/README
@@ -1,30 +1,18 @@
%% Package `pst-solides3d.tex'
%%
-%% Manuel Luque, Arnaud Schmittbuhl,Jean-Paul Vignault,JĂĽrgen Gilg
-%% Herbert Voss
-%%
-%% 2009-01-12
-%%
-
-Save the files
-
-pst-solides3d.sty
-pst-solides3d.tex
-solides3d.pro
-
-in any place, where latex or any other TeX program will find it.
If you like to get the documentation file in another format run
-latex pst-solides3d-doc-EN.tex
-latex pst-solides3d-doc-EN.tex
-dvips pst-solides3d-doc-EN.dvi
+latex pst-solides3d-doc.tex
+bibtex pst-solides3d-doc
+latex pst-solides3d-doc.tex
+dvips pst-solides3d-doc.dvi
-to get a PostScript file. But pay attention, that the pst-optic
+to get a PostScript file. But pay attention, that the pst-solides3d
files are saved in the above mentioned way, before you run
latex on the documentation file.
The intermediate DVI file works only with viewers which can
-interprete the embedded PostScript code, like the one from KDE.
+interprete the embedded PostScript code.
-For another PDF output read the Introduction from
+For another PDF output read the introduction from
the documentation.
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/README b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/README
deleted file mode 100644
index a9d2b236b63..00000000000
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/README
+++ /dev/null
@@ -1,18 +0,0 @@
-%% Package `pst-solides3d.tex'
-%%
-If you like to get the documentation file in another format run
-
-latex pst-solides3d-doc.tex
-bibtex pst-solides3d-doc
-latex pst-solides3d-doc.tex
-dvips pst-solides3d-doc.dvi
-
-to get a PostScript file. But pay attention, that the pst-solides3d
-files are saved in the above mentioned way, before you run
-latex on the documentation file.
-
-The intermediate DVI file works only with viewers which can
-interprete the embedded PostScript code.
-
-For another PDF output read the introduction from
-the documentation.
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/pst-solides3d-doc.pdf b/Master/texmf-dist/doc/generic/pst-solides3d/pst-solides3d-doc.pdf
index 99048eb4a5d..cb87eedafb8 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/pst-solides3d-doc.pdf
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/pst-solides3d-doc.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Changes b/Master/texmf-dist/doc/generic/pst-solides3d/src/Changes
index c0a57c0562a..c0a57c0562a 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Changes
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/Changes
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Letter.ist b/Master/texmf-dist/doc/generic/pst-solides3d/src/Letter.ist
index a6da86bc349..a6da86bc349 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Letter.ist
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/Letter.ist
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Makefile b/Master/texmf-dist/doc/generic/pst-solides3d/src/Makefile
index ff3a94ea935..ff3a94ea935 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Makefile
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/Makefile
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/Pyramid-couleurs.dat
index 10e63400ed9..10e63400ed9 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/Pyramid-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/Pyramid-faces.dat
index f7c22b10c3d..f7c22b10c3d 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/Pyramid-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/Pyramid-io.dat
index a36e8419282..a36e8419282 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/Pyramid-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/Pyramid-sommets.dat
index e2833cd2eb8..e2833cd2eb8 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/Pyramid-sommets.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/chapter-1-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/chapter-1-en.tex
index 2b242dd85d9..2b242dd85d9 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/chapter-1-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/chapter-1-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/chapter-2-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/chapter-2-en.tex
index ea4f40130fa..ea4f40130fa 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/chapter-2-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/chapter-2-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubeHexagone-couleurs.dat
index 6338c59f8d0..6338c59f8d0 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubeHexagone-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubeHexagone-faces.dat
index b21b44fb7f6..b21b44fb7f6 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubeHexagone-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubeHexagone-io.dat
index 27f7ff02f2e..27f7ff02f2e 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubeHexagone-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubeHexagone-sommets.dat
index 857d598aa6c..857d598aa6c 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubeHexagone-sommets.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubecolor-couleurs.dat
index d4de66278c1..d4de66278c1 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubecolor-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubecolor-faces.dat
index 8f7f196800c..8f7f196800c 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubecolor-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubecolor-io.dat
index 37bf237daf3..37bf237daf3 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubecolor-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubecolor-sommets.dat
index 594638cf953..594638cf953 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/cubecolor-sommets.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/faces_nefer.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/faces_nefer.dat
index a3dae0aa7e2..a3dae0aa7e2 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/faces_nefer.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/faces_nefer.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/faces_nefer_levres.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/faces_nefer_levres.dat
index 19dec09e906..19dec09e906 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/faces_nefer_levres.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/faces_nefer_levres.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/faces_nefer_sourcils.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/faces_nefer_sourcils.dat
index d462760f754..d462760f754 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/faces_nefer_sourcils.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/faces_nefer_sourcils.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/faces_nefer_yeux.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/faces_nefer_yeux.dat
index 5f6f8809088..5f6f8809088 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/faces_nefer_yeux.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/faces_nefer_yeux.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/fusee62-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/fusee62-couleurs.dat
index ff0a2f86d82..ff0a2f86d82 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/fusee62-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/fusee62-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/fusee62-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/fusee62-faces.dat
index d3bbe3b94d0..d3bbe3b94d0 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/fusee62-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/fusee62-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/fusee62-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/fusee62-io.dat
index f4305c8e0a0..f4305c8e0a0 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/fusee62-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/fusee62-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/fusee62-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/fusee62-sommets.dat
index e929c1b8ca4..e929c1b8ca4 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/fusee62-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/fusee62-sommets.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/geodedual44-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/geodedual44-couleurs.dat
index 4c15d20a0bb..4c15d20a0bb 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/geodedual44-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/geodedual44-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/geodedual44-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/geodedual44-faces.dat
index 619bedce90c..619bedce90c 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/geodedual44-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/geodedual44-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/geodedual44-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/geodedual44-io.dat
index bddf046eaeb..bddf046eaeb 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/geodedual44-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/geodedual44-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/geodedual44-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/geodedual44-sommets.dat
index cff3eb81b26..cff3eb81b26 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/geodedual44-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/geodedual44-sommets.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/horoptere-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/horoptere-couleurs.dat
index 6e14f9ddc16..6e14f9ddc16 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/horoptere-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/horoptere-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/horoptere-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/horoptere-faces.dat
index 41b430437f1..41b430437f1 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/horoptere-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/horoptere-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/horoptere-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/horoptere-io.dat
index 7135bda4823..7135bda4823 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/horoptere-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/horoptere-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/horoptere-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/horoptere-sommets.dat
index e70fb3bd063..e70fb3bd063 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/horoptere-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/horoptere-sommets.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/kepler.eps b/Master/texmf-dist/doc/generic/pst-solides3d/src/kepler.eps
index 8fe19decfec..8fe19decfec 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/kepler.eps
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/kepler.eps
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-acknowledgements-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-acknowledgements-en.tex
index 5083c50db02..5083c50db02 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-acknowledgements-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-acknowledgements-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-affinage-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-affinage-en.tex
index d227922dc96..d227922dc96 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-affinage-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-affinage-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-anneaux-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-anneaux-en.tex
index d5707139cd4..d5707139cd4 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-anneaux-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-anneaux-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-annoterschema-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-annoterschema-en.tex
index c9ffc38d205..c9ffc38d205 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-annoterschema-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-annoterschema-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-axes3D-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-axes3D-en.tex
index 97ffe24497e..97ffe24497e 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-axes3D-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-axes3D-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-chanfrein-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-chanfrein-en.tex
index c44e0a2e932..c44e0a2e932 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-chanfrein-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-chanfrein-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-codejps-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-codejps-en.tex
index f484a845a8c..f484a845a8c 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-codejps-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-codejps-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-colorierfacettes-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-colorierfacettes-en.tex
index c6035e244d5..c6035e244d5 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-colorierfacettes-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-colorierfacettes-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-commandestrace-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-commandestrace-en.tex
index 939256bd115..939256bd115 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-commandestrace-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-commandestrace-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-couleurs-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-couleurs-en.tex
index f23d12c178d..f23d12c178d 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-couleurs-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-couleurs-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-courbeR3-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-courbeR3-en.tex
index b81d3af3207..b81d3af3207 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-courbeR3-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-courbeR3-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-cylindres-cones-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-cylindres-cones-en.tex
index 2f5c695d14e..2f5c695d14e 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-cylindres-cones-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-cylindres-cones-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-datfile-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-datfile-en.tex
index 0af6e850f20..0af6e850f20 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-datfile-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-datfile-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definirfonction-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-definirfonction-en.tex
index 91d8b208546..91d8b208546 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definirfonction-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-definirfonction-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definirplanquelconque-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-definirplanquelconque-en.tex
index 5d58437c67d..5d58437c67d 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definirplanquelconque-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-definirplanquelconque-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definitionmaillage-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-definitionmaillage-en.tex
index 0649345a7a1..0649345a7a1 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definitionmaillage-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-definitionmaillage-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-eclairageponctuel-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-eclairageponctuel-en.tex
index c8c9ad5b689..c8c9ad5b689 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-eclairageponctuel-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-eclairageponctuel-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-enleverfacettes-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-enleverfacettes-en.tex
index 584dda32490..584dda32490 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-enleverfacettes-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-enleverfacettes-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-extensions-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-extensions-en.tex
index d07b4ce825b..d07b4ce825b 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-extensions-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-extensions-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-face-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-face-en.tex
index 336a8e24599..336a8e24599 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-face-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-face-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-fusion-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-fusion-en.tex
index f53bed63614..f53bed63614 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-fusion-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-fusion-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-fusionjps-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-fusionjps-en.tex
index 0f6c965ee44..0f6c965ee44 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-fusionjps-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-fusionjps-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-geode-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-geode-en.tex
index 2092a3000ff..2092a3000ff 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-geode-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-geode-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-grille-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-grille-en.tex
index f69da2f468e..f69da2f468e 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-grille-en.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-grille-en.tex
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/src/par-image2d-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-image2d-en.tex
new file mode 100644
index 00000000000..5c9d0b07bbf
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-image2d-en.tex
@@ -0,0 +1,394 @@
+\section{Projection of images}
+
+
+This command displays an eps image on a plane defined by an origin and a normal, this plan can be the face
+of a predefined object: a cube for example. The eps image must be prepared according to the method
+described in the documentation for
+`\textsf{pst-anamorphosis'}\footnote{\url{http://melusine.eu.org/syracuse/G/pst-anamorphosis/doc/}}.
+
+The macro includes various options:
+\begin{verbatim}
+ \psImage[file=<filename with extension>,
+ divisions=10,
+ normale=nx ny nz,
+ origine=xO yO zO,
+ phi=angle,
+ unitPicture=28.45](x,y)
+\end{verbatim}
+It focuses the image on the plane at the point defined by the origin, it may be moved to another point
+by setting the \emph{optional} values \verb+(x,y)+. You can omit these values
+if we do not translate the image into another point than the origin of the plan.
+
+\psframebox[linestyle=none,fillcolor=yellow,fillstyle=solid]{\texttt{divisions=20}}
+selects the number of sub-segments for \texttt{lineto} in the image file to display. The higher the number,
+the higher the projected image will be faithful to the original. However, the projection takes place on a
+plane, the deformation will be small in all cases except one approaches very close to the plane, therefore
+a small number of sub-divisions will generally give a correct result and will perform calculations quickly .
+
+\psframebox[linestyle=none,fillcolor=yellow,fillstyle=solid]{\texttt{phi}} can rotate the image of a fixed
+value in degrees.
+
+\psframebox[linestyle=none,fillcolor=yellow,fillstyle=solid]{\texttt{unitImage=28.45}}
+allows to resize the size of the eps image that is generally points per cm, a larger value will give a smaller image.
+
+If you want to place the image on the front of an object, it will follow the following procedure:
+\begin{itemize}
+ \item determine the number of faces of the object, see the documentation of `\textsf{pst-solides3d} ';
+ \item give to the normal of the face in question and origin at the center of that face. We can always
+ shift the image with \verb+(x, y)+.
+\end{itemize}
+
+\begin{verbatim}
+\begin{pspicture}(-5,-5)(5,5)
+\psset{solidmemory}
+\psSolid[object=cube,a=8,action=draw,name=OBJECT,linecolor=red]%
+\psImage[file=tiger.eps,normal=OBJECT 0 solidnormaleface,
+ origine=OBJECT 0 solidcentreface,unitPicture=75]
+\psImage[file=tiger.eps,normal=OBJECT 1 solidnormaleface,
+ origine=OBJECT 1 solidcentreface,unitPicture=75]
+\psImage[file=tiger.eps,normal=OBJECT 4 solidnormaleface,
+ origine=OBJECT 4 solidcentreface,unitPicture=75]
+\psImage[file=tiger.eps,normal=OBJECT 3 solidnormaleface,
+ origine=OBJECT 3 solidcentreface,unitPicture=75]
+\psImage[file=tiger.eps,normal=OBJECT 2 solidnormaleface,
+ origine=OBJECT 2 solidcentreface,unitPicture=75]
+\end{pspicture}
+\end{verbatim}
+
+If the selected plan is not visible to the set position, it may, if desired, force the display of the
+image with the \verb+visibility+.
+
+
+
+\begin{pspicture}(-10,-4)(6,13)
+\psframe(-10,-4)(6,13)
+\psset{viewpoint=12 60 20 rtp2xyz,Decran=10,lightsrc=viewpoint}
+\psImage[file=tiger.eps,normal=1 0 0,origine=0 2 2](0,3)
+\psSolid[object=plan,
+ definition=normalpoint,
+ args={0.01 2 2 [1 0 0 90]},
+ action=draw,linecolor=red,
+ planmarks,
+ showBase,
+ base=-2 2 -2 4]
+\psImage[file=tiger.eps,normal=0 1 0,origine=2 0 2]%(0,0)
+\psSolid[object=plan,
+ definition=normalpoint,
+ args={2 0.01 2 [0 1 0 180]},
+ action=draw,linecolor=red,
+ planmarks,
+ showBase,
+ base=-2 2 -2 2]
+\psImage[file=tiger.eps,normal=0 0 1,origine=2 2 0](2,0)
+\psSolid[object=plan,
+ definition=normalpoint,
+ args={2 2 0.01 [0 0 1 90]},
+ action=draw,linecolor=red,
+ planmarks,
+ showBase,
+ base=-2 3 -2 2]%
+\psImage[file=parrot.eps,normal=1 1 1,origine=5 5 5,unitPicture=75,phi=90]%(0,0)
+\psSolid[object=plan,
+ definition=normalpoint,
+ args={5 5 5 [1 1 1 180]},
+ action=draw,linecolor=red,
+ planmarks,
+ showBase,
+ base=-2 2 -2 2]
+\axesIIID(0,0,0)(4,5,6)
+\end{pspicture}
+
+
+\psset{unit=1cm}
+\psset{viewpoint=20 -120 30 rtp2xyz,Decran=20,unitPicture=15,lightsrc=viewpoint}
+\begin{pspicture}[solidmemory](-5,-7.5)(7,6)
+\psSolid[object=cube,a=8,name=OBJECT,linecolor=red,fillcolor=white%,numfaces=all,fontsize=100
+]
+\psset[pst-solides3d]{normal=OBJECT 0 solidnormaleface}
+\psImage[file=tiger.eps,origine=OBJECT 0 solidcentreface,phi=-90](0,0)
+%\psset[pst-solides3d]{normal=OBJECT 1 solidnormaleface}
+%\psImage[file=tiger.eps,
+% origine=OBJECT 1 solidcentreface]
+%\psset[pst-solides3d]{normal=OBJECT 4 solidnormaleface}
+%\psImage[file=tiger.eps,origine=OBJECT 4 solidcentreface]
+\psset[pst-solides3d]{normal=OBJECT 3 solidnormaleface}
+\psImage[file=tiger.eps,origine=OBJECT 3 solidcentreface]
+\psset[pst-solides3d]{normal=OBJECT 2 solidnormaleface}
+\psImage[file=tiger.eps,origine=OBJECT 2 solidcentreface]
+\end{pspicture}
+
+
+
+\section{A bit of theory}
+
+\begin{minipage}{.45\textwidth}
+The image is projected into a plane defined by a normal $\vec{K}$ and origin $O'(x_O,y_O,z_O)$.
+The coordinates of points in each image are given in reference to a benchmark plan
+$(O,\vec {I},\vec{J})$ whose vectors are determined from $\vec{K}$ as follows:
+This vector $\vec{K}$ is defined by $\theta$ and $\varphi$, we calculate these values from the coordinates.
+With $(O,\vec{i},\vec{j},\vec{k})$
+
+\begin{align*}
+ \vec{K}=\left(
+ \begin{aligned}
+ \cos\varphi & \cos\theta\\
+ \cos\varphi & \sin\theta\\
+ \sin\varphi
+\end{aligned}%
+\right)
+\end{align*}
+
+You must then choose the other two basis vectors
+ $(\vec{I},\vec{J},\vec{K})$.
+I choose to keep $\vec{I}$ at the plane $Oxy$
+\end{minipage}
+%
+\hfill
+%
+\begin{minipage}{0.45\textwidth}
+\begin{pspicture}(-3,-5)(4,5)
+\psset{unit=5}
+\psset{viewpoint=50 15 20 rtp2xyz ,Decran=35}
+\psset{solidmemory}
+\pstVerb{/Theta 45 def /Phi 45 def
+ /cosPhi {Phi cos} bind def
+ /sinPhi {Phi sin} bind def
+ /cosTheta {Theta cos} bind def
+ /sinTheta {Theta sin} bind def
+ /Kx {cosPhi cosTheta mul} bind def
+ /Ky {cosPhi sinTheta mul} bind def
+ /Kz sinPhi def}%
+\psSolid[object=plan,definition=normalpoint,args={0 0 0 [Kx Ky Kz 145]},action=draw,linecolor=blue,base=-1 1 -1 0]
+\psSolid[object=plan,definition=normalpoint,args={0 0 0 [0 0 1]},action=draw**,linecolor=red,base=-1 1 -1 1]
+\axesIIID(0,0,0)(1.25,1.25,1.25)
+\psSolid[object=plan,definition=normalpoint,args={0 0 0 [0 0 1]},action=none,linecolor=red,name=Oxy,base=-1 1 -1 1]
+\psset{plan=Oxy}%
+\psProjection[object=cercle,resolution=360,args=0 0 1,linecolor=gray,linestyle=dashed,range=0 360]
+\psProjection[object=texte,text=q,fontsize=5,PSfont=Symbol,isolatin=false,phi=90](.25,0.125)%
+\psSolid[object=plan,
+ definition=normalpoint,
+ args={0 0 0 [1 -1 0]},
+ action=none,linecolor=red,
+ name=Oxz,
+ base=-1 1 -1 1
+ ]%
+\psset{plan=Oxz}%
+\psProjection[object=cercle,resolution=360,
+ args=0 0 1,linecolor=gray,
+ linestyle=dashed,
+ range=0 90]%
+\psSolid[object=vecteur,
+ definition={[.02 .1]},
+ linecolor={[cmyk]{1,0,1,0.5}},
+ args=Kx Ky Kz](0,0,0)
+\psSolid[object=plan,
+ definition=normalpoint,
+ args={0 0 0 [Kx Ky Kz 145]},
+ action=draw,linecolor=blue,
+ base=-1 1 0 1,name=projection]%
+\psProjection[object=texte,plan=projection,text=plan de projection,fontsize=4](0,0.85)%
+\psSolid[object=vecteur,
+ definition={[.02 .1]},
+ linecolor=red,
+ args=sinTheta neg cosTheta 0 ](0,0,0)%
+\psSolid[object=plan,
+ definition=normalpoint,
+ args={0 0 0 [sinTheta cosTheta neg 0]},
+ action=none,linecolor=blue,
+ base=-1 1 -1 1,name=verticale]%
+\psProjection[object=texte,text=f,plan=verticale,PSfont=Symbol,isolatin=false,fontsize=4](0.5,0.2)%
+\psSolid[object=vecteur,
+ definition={[.02 .1]},
+ linecolor=blue,
+ args=cosTheta neg sinPhi mul sinTheta neg sinTheta mul cosPhi ](0,0,0)%
+\psPoint(Kx, Ky,Kz){K}
+\psPoint(Kx, Ky,0){XY}
+\psPoint(Kx,0,0){X}
+\psPoint(0, Ky,0){Y}
+\psPoint(0,0,0){O}
+\psPoint(cosTheta neg sinPhi mul, sinTheta neg sinTheta mul, cosPhi){J}
+\psPoint(sinTheta neg, cosTheta, 0){I}
+\psline(O)(XY)
+\psline[linestyle=dashed](XY)(K)
+\psline(X)(XY)(Y)
+\pstVerb{/xTube {t Cos 0.4 mul} def /yTube {t Sin 0.4 mul} def /zTube {0} def}%
+\defFunction{F}(t){xTube}{yTube}{zTube}%
+% choix de deux points très voisins sur le tube
+\pstVerb{/t1 0.22 pi mul def /t2 0.25 pi mul def }%
+\psPoint(/t t1 def xTube ,yTube,zTube){A}
+\psPoint(/t t2 def xTube ,yTube,zTube){B}
+\psSolid[object=courbe,
+ r=0,
+ function=F,
+ range=0 0.25 pi mul,
+ fillcolor=red]
+\psline[linecolor=red,arrowsize=0.03]{->}(A)(B)
+%
+\pstVerb{/xT {t Cos 0.4 mul cosPhi mul} def /yT {t Cos 0.4 mul cosPhi mul} def /zT {t Sin 0.4 mul} def}%
+\defFunction{F}(t){xT}{yT}{zT}%
+% choix de deux points très voisins sur le tube
+\pstVerb{/t1 0.22 pi mul def /t2 0.25 pi mul def }%
+\psPoint(/t t1 def xT ,yT,zT){A}
+\psPoint(/t t2 def xT ,yT,zT){B}
+\psSolid[object=courbe,
+ r=0,
+ function=F,
+ range=0 0.25 pi mul,
+ fillcolor={[rgb]{0.3,0.18,0.18}}]
+\psline[linecolor={[rgb]{0.3,0.18,0.18}},arrowsize=0.03]{->}(A)(B)
+\uput[u](J){\blue$\overrightarrow{J}$}
+\uput[ur](K){\color[cmyk]{1,0,1,0.5}{$\overrightarrow{K}$}}
+\uput[r](I){\red$\overrightarrow{I}$} %$
+\end{pspicture}
+\end{minipage}
+
+\endinput
+
+
+
+Seen from above, in the plane $Oxy$:
+
+\begin{minipage}{.4\textwidth}
+\[
+\overrightarrow{I}=\left(%
+ \begin{aligned}
+ -\sin\theta\\
+ \hphantom{-}\cos\theta\\
+ 0
+ \end{aligned}
+ \right)
+ \]
+\end{minipage}
+\hfill
+\begin{minipage}{0.5\textwidth}
+
+\begin{pspicture}(-3,-4)(4,2)
+\psline{->}(4,0)\uput[0](4,0){$y$}
+\psline[linestyle=dashed](0,2)
+\psline{->}(0,-3.5)\uput[270](0,-3.5){$x$}
+\uput[135](0,0){O}
+{\psset{linewidth=2\pslinewidth}
+\psline{->}(0,-2)\uput[0](0,-2){$\overrightarrow{i}$}
+\psline{->}(2,0)\uput[90](2,0){$\overrightarrow{j}$}
+\psline[linestyle=dotted](3;-30)\uput[0](3;-30){$x'$}
+\psline[linecolor=red,doubleline=true]{->}(2;60)\uput[0](2;60){$\red \overrightarrow{I}$}
+}
+\psarc{->}(0,0){1.5}{-90}{-30}\uput[0](1.6;-60){$\theta$}
+\end{pspicture}
+\end{minipage}
+
+Il reste Ă  trouver $\overrightarrow{J}$ pour que la base
+($\overrightarrow{I},\overrightarrow{J},\overrightarrow{K}$) soit directe :
+$\overrightarrow{J}=\overrightarrow{K}\times\overrightarrow{I}$
+\[
+\overrightarrow{J}=\left(\begin{aligned}
+ \cos\varphi\cos\theta\\
+ \cos\varphi\sin\theta\\
+ \sin\varphi
+ \end{aligned}
+ \right)
+\times
+\left(
+ \begin{aligned}{c}
+ -\sin\theta\\
+ \hphantom{-}\cos\theta\\
+ 0
+ \end{aligned}
+ \right)
+ =
+ \left(\begin{aligned}
+ -\sin\varphi\cos\theta\\
+ -\sin\varphi\sin\theta\\
+ \cos\varphi
+ \end{aligned}
+ \right)
+ \]
+ The transformation matrice:
+\[
+A=\left(%
+ \begin{array}{ccc}
+ -\sin\theta&-\sin\varphi\cos\theta&\cos\varphi\cos\theta\\
+ \hphantom{-}\cos\theta&-\sin\varphi\sin\theta&\cos\varphi\sin\theta\\
+ 0&\cos\varphi&\sin\varphi
+ \end{array}
+ \right)
+ \]
+
+to determine the coordinates ($ x, y, z $) of a point $M$ if one knows its
+ coordinates $(X, Y, Z)$ in the reference
+ $(O,\overrightarrow{I},\overrightarrow{J},\overrightarrow{K})$.
+
+ \[
+ \left(\begin{aligned}{c}
+ x\\
+ y\\
+ z
+ \end{aligned}
+ \right)
+ =\left(%
+ \begin{array}{ccc}
+ -\sin\theta&-\sin\varphi\cos\theta&\cos\varphi\cos\theta\\
+ \hphantom{-}\cos\theta&-\sin\varphi\sin\theta&\cos\varphi\sin\theta\\
+ 0&\cos\varphi&\sin\varphi
+ \end{array}
+ \right)
+\left(\begin{aligned}
+ X\\
+ Y\\
+ Z
+ \end{aligned}
+ \right)
+\]
+\[
+\left\lbrace\begin{array}{cccclcl}
+x&=&-X\sin\theta&-&Y\sin\varphi\cos\theta&+&Z\cos\varphi\cos\theta\\
+y&=&\hphantom{-}X\cos\theta&-&Y\sin\varphi\sin\theta&+&Z\cos\varphi\sin\theta\\
+z&=&0&+&Y\cos\varphi&+&Z\sin\varphi
+\end{array}
+\right.
+\]
+
+If we consider a point on the plane in the plane $XOY$
+
+\[
+\left\lbrace\begin{array}{ccccl}
+x&=&-X\sin\theta&-&Y\sin\varphi\cos\theta\\
+y&=&\hphantom{-}X\cos\theta&-&Y\sin\varphi\sin\theta\\
+z&=&0&+&Y\cos\varphi
+\end{array}
+\right.
+\]
+Et si maintenant, ce repère $OXYZ$ est translaté en un point
+$O'(x_{O'},y_{O'},z_{O'})$
+\[
+\left\lbrace\begin{array}{cccclcl}
+x&=&-X\sin\theta&-&Y\sin\varphi\cos\theta&+&x_{O'}\\
+y&=&\hphantom{-}X\cos\theta&-&Y\sin\varphi\sin\theta&+&y_{O'}\\
+z&=&0&+&Y\cos\varphi&+&z_{O'}
+\end{array}
+\right.
+\]
+
+Remarks:
+\begin{itemize}
+\item $\overrightarrow{K}$ since we can obviously choose another associated base $ (\overrightarrow {I},
+\overrightarrow {J}) $ by turning the previously calculated around $ \overrightarrow {K} $ of the selected angle.
+For this first draft order I preferred to rotate the image, which probably has the disadvantage lengthen calculations \ldots\
+
+\item Jean-Paul Vigneault made a different choice for the base $(\overrightarrow{I}, \overrightarrow{J} $,
+he calculated $ \overrightarrow {J}$ from $\overrightarrow {K} $ by relation:
+\[
+\overrightarrow{J}=\overrightarrow{K}\wedge \left(%
+ \begin{array}{c}
+ 1\\
+ 0\\
+ 0
+ \end{array}
+ \right)
+\]
+ $\overrightarrow{I}=\overrightarrow{J}\wedge\overrightarrow{K}$.
+We can bring the system defined in `\textsf{pst-solides3d}' to the one I chose by setting the \textsf{phi}
+of `\textsf{pst-solides3d}' (which allows you to turn the mark ) the proper value \ldots\ to calculate.
+
+\end{itemize}
+
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-keywords-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-keywords-en.tex
index 90d4a8db49f..90d4a8db49f 100644
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diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionvisibility-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/par-projectionvisibility-en.tex
index 5b65e65c9d2..5b65e65c9d2 100644
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+\citation{*}
+\bibstyle{plain}
+\bibdata{pst-solides3d-doc}
+\bibcite{xkeyval}{1}
+\bibcite{casselman05}{2}
+\bibcite{girou:01:}{3}
+\bibcite{tlgc2}{4}
+\bibcite{unbound}{5}
+\bibcite{companion04}{6}
+\bibcite{rahtz:96-1}{7}
+\bibcite{rahtz:96-2}{8}
+\bibcite{PSTricks2}{9}
+\bibcite{girou:02:}{10}
+\@writefile{toc}{\contentsline {chapter}{\nonumberline Bibliography}{201}{appendix*.60}}
+\global\@altsecnumformattrue
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.bbl b/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.bbl
new file mode 100644
index 00000000000..0c32f3d31b3
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.bbl
@@ -0,0 +1,57 @@
+\begin{thebibliography}{10}
+
+\bibitem{xkeyval}
+Hendri Adriaens.
+\newblock xkeyval package.
+\newblock \url{CTAN:/macros/latex/contrib/xkeyval}, 2004.
+
+\bibitem{casselman05}
+Bill Casselman.
+\newblock {\em Mathematical {I}llustrations -- a manual of geometry and
+ {P}ost{S}cript}.
+\newblock Cambridge University Press, Cambridge, 2005.
+
+\bibitem{girou:01:}
+Denis Girou.
+\newblock Pr\'esentation de {PST}ricks.
+\newblock {\em Cahier {GUT}enberg}, 16:21--70, April 1994.
+
+\bibitem{tlgc2}
+Michel Goosens, Frank Mittelbach, Sebastian Rahtz, Denis Roegel, and Herbert
+ Vo{\ss}.
+\newblock {\em The {\LaTeX} {G}raphics {C}ompanion}.
+\newblock {Addison-Wesley Publishing Company}, Reading, Mass., 2nd edition,
+ 2007.
+
+\bibitem{unbound}
+Alan Hoenig.
+\newblock {\em \TeX{} {U}nbound: \LaTeX{} \& \TeX{} {S}trategies, {F}onts,
+ {G}raphics, and {M}ore}.
+\newblock Oxford University Press, London, 1998.
+
+\bibitem{companion04}
+Frank Mittelbach and Michel~Goosens et~al.
+\newblock {\em The {\LaTeX} {C}ompanion}.
+\newblock Addison-Wesley Publishing Company, Boston, 2nd edition, 2004.
+
+\bibitem{rahtz:96-1}
+Sebastian Rahtz.
+\newblock An introduction to {PST}ricks, part {I}.
+\newblock {\em Baskerville}, 6(1):22--34, February 1996.
+
+\bibitem{rahtz:96-2}
+Sebastian Rahtz.
+\newblock An introduction to {PST}ricks, part {II}.
+\newblock {\em Baskerville}, 6(2):23--33, April 1996.
+
+\bibitem{PSTricks2}
+Herbert Vo\ss.
+\newblock {\em {PSTricks,} {G}rafik f\"ur \TeX{} und \LaTeX}.
+\newblock DANTE -- Lehmanns, Heidelberg/Hamburg, 4th edition, 2007.
+
+\bibitem{girou:02:}
+{Timothy Van} Zandt and Denis Girou.
+\newblock Inside {PST}ricks.
+\newblock {\em TUGboat}, 15:239--246, September 1994.
+
+\end{thebibliography}
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+\indexentry{Keyword!sympol@\texttt {sympol}|hyperpage}{163}
+\indexentry{args@\texttt {args}|hyperpage}{163}
+\indexentry{Keyword!args@\texttt {args}|hyperpage}{163}
+\indexentry{definition@\texttt {definition}|hyperpage}{163}
+\indexentry{Keyword!definition@\texttt {definition}|hyperpage}{163}
+\indexentry{axesympol@\texttt {axesympol}|hyperpage}{163}
+\indexentry{Keyword!axesympol@\texttt {axesympol}|hyperpage}{163}
+\indexentry{args@\texttt {args}|hyperpage}{163}
+\indexentry{Keyword!args@\texttt {args}|hyperpage}{163}
+\indexentry{definition@\texttt {definition}|hyperpage}{163}
+\indexentry{Keyword!definition@\texttt {definition}|hyperpage}{163}
+\indexentry{line@\texttt {line}|hyperpage}{164}
+\indexentry{Keyword!line@\texttt {line}|hyperpage}{164}
+\indexentry{line|hyperpage}{164}
+\indexentry{args@\texttt {args}|hyperpage}{164}
+\indexentry{Keyword!args@\texttt {args}|hyperpage}{164}
+\indexentry{rightangle@\texttt {rightangle}|hyperpage}{165}
+\indexentry{Keyword!rightangle@\texttt {rightangle}|hyperpage}{165}
+\indexentry{right angle|hyperpage}{165}
+\indexentry{parameterised functions|hyperpage}{166}
+\indexentry{courbe@\texttt {courbe}|hyperpage}{166}
+\indexentry{Keyword!courbe@\texttt {courbe}|hyperpage}{166}
+\indexentry{function@\texttt {function}|hyperpage}{166}
+\indexentry{Keyword!function@\texttt {function}|hyperpage}{166}
+\indexentry{function|hyperpage}{166}
+\indexentry{algebraic@\texttt {algebraic}|hyperpage}{167}
+\indexentry{Keyword!algebraic@\texttt {algebraic}|hyperpage}{167}
+\indexentry{range@\texttt {range}|hyperpage}{167}
+\indexentry{Keyword!range@\texttt {range}|hyperpage}{167}
+\indexentry{curve|hyperpage}{167}
+\indexentry{Parameterised curves|hyperpage}{167}
+\indexentry{psProjection@\texttt {\textbackslash psProjection}|hyperpage}{167}
+\indexentry{Macro!psProjection@\texttt {\textbackslash psProjection}|hyperpage}{167}
+\indexentry{courbeR2@\texttt {courbeR2}|hyperpage}{167}
+\indexentry{Keyword!courbeR2@\texttt {courbeR2}|hyperpage}{167}
+\indexentry{Lissajous|hyperpage}{168}
+\indexentry{texte@\texttt {texte}|hyperpage}{168}
+\indexentry{Keyword!texte@\texttt {texte}|hyperpage}{168}
+\indexentry{psProjection@\texttt {\textbackslash psProjection}|hyperpage}{168}
+\indexentry{Macro!psProjection@\texttt {\textbackslash psProjection}|hyperpage}{168}
+\indexentry{project|hyperpage}{168}
+\indexentry{text@\texttt {text}|hyperpage}{168}
+\indexentry{Keyword!text@\texttt {text}|hyperpage}{168}
+\indexentry{fontsize@\texttt {fontsize}|hyperpage}{168}
+\indexentry{Keyword!fontsize@\texttt {fontsize}|hyperpage}{168}
+\indexentry{pos@\texttt {pos}|hyperpage}{168}
+\indexentry{Keyword!pos@\texttt {pos}|hyperpage}{168}
+\indexentry{text|hyperpage}{168}
+\indexentry{pos@\texttt {pos}|hyperpage}{169}
+\indexentry{Keyword!pos@\texttt {pos}|hyperpage}{169}
+\indexentry{psProjection@\texttt {\textbackslash psProjection}|hyperpage}{169}
+\indexentry{Macro!psProjection@\texttt {\textbackslash psProjection}|hyperpage}{169}
+\indexentry{pos@\texttt {pos}|hyperpage}{169}
+\indexentry{Keyword!pos@\texttt {pos}|hyperpage}{169}
+\indexentry{psProjection@\texttt {\textbackslash psProjection}|hyperpage}{169}
+\indexentry{Macro!psProjection@\texttt {\textbackslash psProjection}|hyperpage}{169}
+\indexentry{projection|hyperpage}{169}
+\indexentry{projection|hyperpage}{170}
+\indexentry{projection|hyperpage}{170}
+\indexentry{projection|hyperpage}{171}
+\indexentry{projecting|hyperpage}{172}
+\indexentry{numfaces@\texttt {numfaces}|hyperpage}{172}
+\indexentry{Keyword!numfaces@\texttt {numfaces}|hyperpage}{172}
+\indexentry{all@\texttt {all}|hyperpage}{172}
+\indexentry{Value!all@\texttt {all}|hyperpage}{172}
+\indexentry{projecting|hyperpage}{173}
+\indexentry{numfaces@\texttt {numfaces}|hyperpage}{174}
+\indexentry{Keyword!numfaces@\texttt {numfaces}|hyperpage}{174}
+\indexentry{all@\texttt {all}|hyperpage}{174}
+\indexentry{Value!all@\texttt {all}|hyperpage}{174}
+\indexentry{visibility@\texttt {visibility}|hyperpage}{174}
+\indexentry{Keyword!visibility@\texttt {visibility}|hyperpage}{174}
+\indexentry{object@\texttt {object}|hyperpage}{183}
+\indexentry{Keyword!object@\texttt {object}|hyperpage}{183}
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.ilg b/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.ilg
new file mode 100644
index 00000000000..851db56f664
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.ilg
@@ -0,0 +1,12 @@
+This is makeindex, version 2.15 [TeX Live 2013] (kpathsea + Thai support).
+Scanning style file /usr/local/texlive/2013/../texmf-local/makeindex/pst-doc.ist...........done (11 attributes redefined, 0 ignored).
+Scanning input file pst-solides3d-doc.idx....
+!! Input index error (file = pst-solides3d-doc.idx, line = 765):
+ -- Extra `@' at position 53 of first argument.
+!! Input index error (file = pst-solides3d-doc.idx, line = 766):
+ -- Extra `@' at position 61 of first argument.
+.done (1228 entries accepted, 2 rejected).
+Sorting entries.............done (13781 comparisons).
+Generating output file pst-solides3d-doc.ind....done (665 lines written, 0 warnings).
+Output written in pst-solides3d-doc.ind.
+Transcript written in pst-solides3d-doc.ilg.
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.ind b/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.ind
new file mode 100644
index 00000000000..9620540b699
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.ind
@@ -0,0 +1,665 @@
+\begin{theindex}
+\textbf{Symbols}
+
+ \item .dat, \hyperpage{60}, \hyperpage{75}, \hyperpage{93}
+ \item .obj, \hyperpage{61}, \hyperpage{93}
+ \item .off, \hyperpage{62}, \hyperpage{93}
+
+ \indexspace
+\textbf{A}
+
+ \item \texttt {ABcercle}, \hyperpage{162}
+ \item \texttt {action}, \hyperpage{29}, \hyperpage{84},
+ \hyperpage{122}, \hyperpage{126}, \hyperpage{128}
+ \item \texttt {addv}, \hyperpage{160}
+ \item \texttt {addv3d}, \hyperpage{65, 66}
+ \item \texttt {affinage}, \hyperpage{50}
+ \item \texttt {affinagecoeff}, \hyperpage{50}
+ \item \texttt {affinagerm}, \hyperpage{50}
+ \item \texttt {algebraic}, \hyperpage{115}, \hyperpage{167}
+ \item \texttt {all}, \hyperpage{32}, \hyperpage{49, 50},
+ \hyperpage{172}, \hyperpage{174}
+ \item \texttt {anneau}, \hyperpage{98}
+ \item \texttt {args}, \hyperpage{64--72}, \hyperpage{156--164}
+ \item \texttt {axe}, \hyperpage{104}
+ \item axes, \hyperpage{18}
+ \item \texttt {axesboxed}, \hyperpage{115, 116}
+ \item \texttt {axesymdroite}, \hyperpage{161}
+ \item \texttt {axesympoint}, \hyperpage{157}
+ \item \texttt {axesympol}, \hyperpage{163}
+ \item \texttt {axisemph}, \hyperpage{18}
+ \item \texttt {axisnames}, \hyperpage{18}
+
+ \indexspace
+\textbf{B}
+
+ \item \texttt {barycentre3d}, \hyperpage{64}
+ \item \texttt {base}, \hyperpage{67}, \hyperpage{69},
+ \hyperpage{94, 95}, \hyperpage{138}
+ \item \texttt {biface}, \hyperpage{98}
+ \item \texttt {bissectrice}, \hyperpage{161}
+ \item brilliance, \hyperpage{40}
+
+ \indexspace
+\textbf{C}
+
+ \item \texttt {cercle}, \hyperpage{161}
+ \item chamfer, \hyperpage{51}
+ \item Chamfering, \hyperpage{51}
+ \item \texttt {chanfrein}, \hyperpage{51}
+ \item \texttt {chanfreincoeff}, \hyperpage{51}
+ \item chloride ion, \hyperpage{141}
+ \item circle, \hyperpage{161}
+ \item CMYK, \hyperpage{41}
+ \item \texttt {color}, \hyperpage{43}
+ \item colour, \hyperpage{42}
+ \item colour scheme, \hyperpage{40, 41}
+ \item Colouring, \hyperpage{42}
+ \item colours, \hyperpage{35}, \hyperpage{37}, \hyperpage{43}
+ \item components, \hyperpage{65}
+ \item Cone, \hyperpage{22}
+ \item cone, \hyperpage{112}
+ \item \texttt {cone}, \hyperpage{45}
+ \item \texttt {conecreux}, \hyperpage{45}
+ \item conic area, \hyperpage{108}
+ \item contour lines, \hyperpage{125}
+ \item coordinates, \hyperpage{13}
+ \item corrugated surface, \hyperpage{96}
+ \item \texttt {courbe}, \hyperpage{11}, \hyperpage{79},
+ \hyperpage{81}, \hyperpage{166}
+ \item \texttt {courbeR2}, \hyperpage{167}
+ \item \texttt {cpoint}, \hyperpage{157}
+ \item \texttt {crosshatch}, \hyperpage{152}
+ \item Cube, \hyperpage{21}
+ \item \texttt {cube}, \hyperpage{45}
+ \item Cuboid, \hyperpage{25}
+ \item Curve, \hyperpage{26}
+ \item curve, \hyperpage{167}
+ \item Cylinder, \hyperpage{21}
+ \item cylinder, \hyperpage{30}
+ \item \texttt {cylindre}, \hyperpage{45}, \hyperpage{104}
+ \item \texttt {cylindrecreux}, \hyperpage{45}
+ \item cylindric area, \hyperpage{104}
+
+ \indexspace
+\textbf{D}
+
+ \item \texttt {datfile}, \hyperpage{60}
+ \item \texttt {deactivatecolor}, \hyperpage{42}, \hyperpage{121}
+ \item decal, \hyperpage{90}
+ \item \texttt {decal}, \hyperpage{90}
+ \item Decran, \hyperpage{14}
+ \item \texttt {Decran}, \hyperpage{14, 15}, \hyperpage{75}
+ \item \texttt {definition}, \hyperpage{64--68}, \hyperpage{70},
+ \hyperpage{72}, \hyperpage{157--163}
+ \item \texttt {diamcercle}, \hyperpage{162}
+ \item dimensions, \hyperpage{154}
+ \item Dodecahedron, \hyperpage{24}
+ \item \texttt {doubleline}, \hyperpage{152}
+ \item \texttt {draw}, \hyperpage{29}, \hyperpage{122}
+ \item \texttt {draw*}, \hyperpage{29}
+ \item \texttt {draw**}, \hyperpage{29}
+ \item drawing, \hyperpage{29}
+
+ \indexspace
+\textbf{E}
+
+ \item \texttt {equation}, \hyperpage{68}
+
+ \indexspace
+\textbf{F}
+
+ \item Face, \hyperpage{25}
+ \item \texttt {face}, \hyperpage{94}, \hyperpage{98}
+ \item faces, \hyperpage{32}, \hyperpage{42}
+ \item \texttt {faces}, \hyperpage{91}, \hyperpage{93}
+ \item \texttt {fcol}, \hyperpage{37}, \hyperpage{42, 43},
+ \hyperpage{45, 46}
+ \item \texttt {fcolor}, \hyperpage{50}
+ \item \texttt {file}, \hyperpage{60--62}
+ \item \texttt {fillcolor}, \hyperpage{35}, \hyperpage{92}
+ \item \texttt {fillstyle}, \hyperpage{152}
+ \item folding screen, \hyperpage{96}
+ \item \texttt {fontsize}, \hyperpage{32}, \hyperpage{168}
+ \item function, \hyperpage{77}, \hyperpage{79}, \hyperpage{166}
+ \item \texttt {function}, \hyperpage{79}, \hyperpage{81},
+ \hyperpage{104}, \hyperpage{110}, \hyperpage{166}
+ \item functions, \hyperpage{78}
+ \item fuse solids, \hyperpage{139}
+ \item fusion, \hyperpage{140}
+ \item \texttt {fusion}, \hyperpage{138}
+
+ \indexspace
+\textbf{G}
+
+ \item geodes, \hyperpage{74}
+ \item grating, \hyperpage{45}
+ \item Grid, \hyperpage{25}
+ \item \texttt {grid}, \hyperpage{46}, \hyperpage{115},
+ \hyperpage{117}
+ \item gridlines, \hyperpage{45}
+
+ \indexspace
+\textbf{H}
+
+ \item \texttt {h}, \hyperpage{98}, \hyperpage{104}
+ \item hairline curve, \hyperpage{82}
+ \item helix, \hyperpage{111}
+ \item \texttt {hlines}, \hyperpage{152}
+ \item hollow, \hyperpage{34}
+ \item \texttt {hollow}, \hyperpage{30}, \hyperpage{92},
+ \hyperpage{124}, \hyperpage{128}
+ \item Hollow Cone, \hyperpage{22}
+ \item Hollow Cylinder, \hyperpage{21}
+ \item hollow cylinder, \hyperpage{30}
+ \item hollow prism, \hyperpage{31}
+ \item hollow solid, \hyperpage{124}
+ \item hollow spherical zone, \hyperpage{32}
+ \item Hollowing out, \hyperpage{50}
+ \item \texttt {hompoint}, \hyperpage{157}
+ \item \texttt {hompoint3d}, \hyperpage{64}
+ \item \texttt {hompol}, \hyperpage{163}
+ \item \texttt {horizontale}, \hyperpage{161}
+ \item HSB, \hyperpage{40, 41}
+ \item \texttt {hue}, \hyperpage{11}, \hyperpage{35},
+ \hyperpage{40--42}, \hyperpage{44}
+ \item hyperbolic paraboloid, \hyperpage{118}
+ \item hyperboloid, \hyperpage{92}
+ \item hypocycloid, \hyperpage{86}
+
+ \indexspace
+\textbf{I}
+
+ \item Icosahedron, \hyperpage{24}
+ \item \texttt {incolor}, \hyperpage{35}, \hyperpage{43},
+ \hyperpage{92}
+ \item \texttt {inhue}, \hyperpage{35}
+ \item \texttt {inouthue}, \hyperpage{35}
+ \item \texttt {interdroite}, \hyperpage{158}
+ \item \texttt {interdroitecercle}, \hyperpage{158}
+ \item intersecting planes, \hyperpage{57}
+ \item intersection, \hyperpage{122}
+ \item \texttt {intersectioncolor}, \hyperpage{57}, \hyperpage{122}
+ \item \texttt {intersectionlinewidth}, \hyperpage{57},
+ \hyperpage{122}
+ \item \texttt {intersectionplan}, \hyperpage{57}
+ \item \texttt {intersectiontype}, \hyperpage{57}, \hyperpage{122}
+ \item \texttt {isobarycentre3d}, \hyperpage{64}
+
+ \indexspace
+\textbf{J}
+
+ \item jps code, \hyperpage{77}
+
+ \indexspace
+\textbf{K}
+
+ \item Keyword\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {ABcercle},
+ \hyperpage{162}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {action},
+ \hyperpage{29}, \hyperpage{84}, \hyperpage{122},
+ \hyperpage{126}, \hyperpage{128}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {affinage},
+ \hyperpage{50}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {affinagecoeff},
+ \hyperpage{50}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {affinagerm},
+ \hyperpage{50}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {algebraic},
+ \hyperpage{115}, \hyperpage{167}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {args},
+ \hyperpage{64--72}, \hyperpage{156--164}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {axe},
+ \hyperpage{104}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {axesboxed},
+ \hyperpage{115, 116}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {axesymdroite},
+ \hyperpage{161}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {axesympol},
+ \hyperpage{163}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {axisemph},
+ \hyperpage{18}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {axisnames},
+ \hyperpage{18}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {base},
+ \hyperpage{67}, \hyperpage{69}, \hyperpage{94, 95},
+ \hyperpage{138}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {biface},
+ \hyperpage{98}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {bissectrice},
+ \hyperpage{161}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {cercle},
+ \hyperpage{161}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {chanfrein},
+ \hyperpage{51}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {chanfreincoeff},
+ \hyperpage{51}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {color},
+ \hyperpage{43}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {courbe},
+ \hyperpage{11}, \hyperpage{166}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {courbeR2},
+ \hyperpage{167}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {datfile},
+ \hyperpage{60}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {deactivatecolor},
+ \hyperpage{42}, \hyperpage{121}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {decal},
+ \hyperpage{90}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {Decran},
+ \hyperpage{14, 15}, \hyperpage{75}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {definition},
+ \hyperpage{64--68}, \hyperpage{70}, \hyperpage{72},
+ \hyperpage{157--163}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {diamcercle},
+ \hyperpage{162}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {doubleline},
+ \hyperpage{152}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {draw*},
+ \hyperpage{29}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {draw**},
+ \hyperpage{29}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {face},
+ \hyperpage{94}, \hyperpage{98}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {faces},
+ \hyperpage{91}, \hyperpage{93}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {fcol},
+ \hyperpage{37}, \hyperpage{42, 43}, \hyperpage{45, 46}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {fcolor},
+ \hyperpage{50}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {file},
+ \hyperpage{60--62}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {fillcolor},
+ \hyperpage{35}, \hyperpage{92}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {fillstyle},
+ \hyperpage{152}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {fontsize},
+ \hyperpage{32}, \hyperpage{168}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {function},
+ \hyperpage{79}, \hyperpage{81}, \hyperpage{104},
+ \hyperpage{110}, \hyperpage{166}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {fusion},
+ \hyperpage{138}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {grid},
+ \hyperpage{46}, \hyperpage{115}, \hyperpage{117}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {h},
+ \hyperpage{98}, \hyperpage{104}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {hollow},
+ \hyperpage{30}, \hyperpage{92}, \hyperpage{124},
+ \hyperpage{128}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {hompol},
+ \hyperpage{163}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {hue},
+ \hyperpage{11}, \hyperpage{40--42}, \hyperpage{44}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {incolor},
+ \hyperpage{35}, \hyperpage{43}, \hyperpage{92}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {intersectioncolor},
+ \hyperpage{57}, \hyperpage{122}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {intersectionlinewidth},
+ \hyperpage{57}, \hyperpage{122}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {intersectionplan},
+ \hyperpage{57}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {intersectiontype},
+ \hyperpage{57}, \hyperpage{122}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {labelsep},
+ \hyperpage{18}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {lightintensity},
+ \hyperpage{16, 17}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {lightsrc},
+ \hyperpage{16}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {line},
+ \hyperpage{164}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {linearc},
+ \hyperpage{152}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {linecolor},
+ \hyperpage{121}, \hyperpage{152}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {load},
+ \hyperpage{121}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {mathLabel},
+ \hyperpage{18}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {mode},
+ \hyperpage{48, 49}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {name},
+ \hyperpage{67}, \hyperpage{121}, \hyperpage{123},
+ \hyperpage{156}, \hyperpage{159, 160}, \hyperpage{162}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {new},
+ \hyperpage{91, 92}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {ngrid},
+ \hyperpage{11}, \hyperpage{45}, \hyperpage{55},
+ \hyperpage{75}, \hyperpage{82, 83}, \hyperpage{99},
+ \hyperpage{115}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {num},
+ \hyperpage{34}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {numfaces},
+ \hyperpage{32}, \hyperpage{172}, \hyperpage{174}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {object},
+ \hyperpage{67}, \hyperpage{80, 81}, \hyperpage{98},
+ \hyperpage{104}, \hyperpage{110}, \hyperpage{121},
+ \hyperpage{125}, \hyperpage{155}, \hyperpage{183}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {objfile},
+ \hyperpage{61}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {offfile},
+ \hyperpage{62}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {opacity},
+ \hyperpage{45}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {origine},
+ \hyperpage{69}, \hyperpage{108}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {perp},
+ \hyperpage{161}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {plan},
+ \hyperpage{11}, \hyperpage{57}, \hyperpage{155}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {plangrid},
+ \hyperpage{68}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {planmarks},
+ \hyperpage{68}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {point},
+ \hyperpage{64}, \hyperpage{156}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {polygone},
+ \hyperpage{162}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {pos},
+ \hyperpage{156}, \hyperpage{168, 169}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {QZ},
+ \hyperpage{116}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {R},
+ \hyperpage{98}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {r},
+ \hyperpage{81}, \hyperpage{98}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {range},
+ \hyperpage{81}, \hyperpage{104}, \hyperpage{110},
+ \hyperpage{162}, \hyperpage{167}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {resolution},
+ \hyperpage{11}, \hyperpage{77}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {rightangle},
+ \hyperpage{165}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {rm},
+ \hyperpage{34}, \hyperpage{92}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {rotatedroite},
+ \hyperpage{161}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {rotatepol},
+ \hyperpage{163}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {run},
+ \hyperpage{93}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {section},
+ \hyperpage{100}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {show},
+ \hyperpage{34}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {showBase},
+ \hyperpage{68}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {showbase},
+ \hyperpage{68}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {showOrigin},
+ \hyperpage{18}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {solidmemory},
+ \hyperpage{121, 122}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {sommets},
+ \hyperpage{91}, \hyperpage{93}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {spotX},
+ \hyperpage{116}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {spotY},
+ \hyperpage{116}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {spotZ},
+ \hyperpage{116}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {sympol},
+ \hyperpage{163}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {text},
+ \hyperpage{156}, \hyperpage{168}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {texte},
+ \hyperpage{168}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {tracelignedeniveau},
+ \hyperpage{11}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {transform},
+ \hyperpage{52}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {translatedroite},
+ \hyperpage{161}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {translatepol},
+ \hyperpage{163}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {trunc},
+ \hyperpage{49}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {trunccoeff},
+ \hyperpage{49}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {vecteur},
+ \hyperpage{65}, \hyperpage{159}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {viewpoint},
+ \hyperpage{75}, \hyperpage{151}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {visibility},
+ \hyperpage{32}, \hyperpage{155}, \hyperpage{174}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {writeobj},
+ \hyperpage{61, 62}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {writesolid},
+ \hyperpage{60}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {Zmax},
+ \hyperpage{115}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {Zmin},
+ \hyperpage{115}
+
+ \indexspace
+\textbf{L}
+
+ \item label, \hyperpage{18}
+ \item labels, \hyperpage{18}
+ \item \texttt {labelsep}, \hyperpage{18}
+ \item light, \hyperpage{16}
+ \item light intensity, \hyperpage{16}
+ \item light source, \hyperpage{16}
+ \item \texttt {lightintensity}, \hyperpage{16, 17}
+ \item \texttt {lightsrc}, \hyperpage{16}
+ \item Line, \hyperpage{20}
+ \item line, \hyperpage{152}, \hyperpage{160}, \hyperpage{164}
+ \item \texttt {line}, \hyperpage{164}
+ \item \texttt {linearc}, \hyperpage{152}
+ \item \texttt {linecolor}, \hyperpage{121}, \hyperpage{152}
+ \item Lissajous, \hyperpage{168}
+ \item \texttt {load}, \hyperpage{121}
+
+ \indexspace
+\textbf{M}
+
+ \item Macro\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {\textbackslash psProjection},
+ \hyperpage{11}, \hyperpage{121}, \hyperpage{155, 156},
+ \hyperpage{159}, \hyperpage{167--169}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {\textbackslash psSolid},
+ \hyperpage{11}, \hyperpage{19}, \hyperpage{27},
+ \hyperpage{29}, \hyperpage{33}, \hyperpage{42, 43},
+ \hyperpage{45}, \hyperpage{57}, \hyperpage{60--62},
+ \hyperpage{67}, \hyperpage{73}, \hyperpage{75},
+ \hyperpage{80}, \hyperpage{92}, \hyperpage{98--100},
+ \hyperpage{110}, \hyperpage{121}, \hyperpage{138},
+ \hyperpage{155}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {\textbackslash psSurface},
+ \hyperpage{11}, \hyperpage{121}
+ \item \texttt {mathLabel}, \hyperpage{18}
+ \item \texttt {mediatrice}, \hyperpage{161}
+ \item methane molecule, \hyperpage{147}
+ \item \texttt {milieu}, \hyperpage{157}
+ \item \texttt {milieu3d}, \hyperpage{65}
+ \item \texttt {mode}, \hyperpage{48, 49}
+ \item modes, \hyperpage{48}
+ \item Multiplication, \hyperpage{66}
+ \item \texttt {mulv}, \hyperpage{160}
+ \item \texttt {mulv3d}, \hyperpage{66}
+
+ \indexspace
+\textbf{N}
+
+ \item \texttt {name}, \hyperpage{67}, \hyperpage{121},
+ \hyperpage{123}, \hyperpage{156}, \hyperpage{159, 160},
+ \hyperpage{162}
+ \item New, \hyperpage{26}
+ \item \texttt {new}, \hyperpage{91, 92}, \hyperpage{125}
+ \item \texttt {ngrid}, \hyperpage{11}, \hyperpage{45},
+ \hyperpage{55}, \hyperpage{75}, \hyperpage{82, 83},
+ \hyperpage{99}, \hyperpage{115}
+ \item \texttt {none}, \hyperpage{29}, \hyperpage{128}
+ \item \texttt {normalize}, \hyperpage{159}
+ \item \texttt {normalize3d}, \hyperpage{66}
+ \item Normalized vector, \hyperpage{66}
+ \item \texttt {normalpoint}, \hyperpage{70}
+ \item \texttt {num}, \hyperpage{34}
+ \item \texttt {numfaces}, \hyperpage{32}, \hyperpage{172},
+ \hyperpage{174}
+
+ \indexspace
+\textbf{O}
+
+ \item \texttt {object}, \hyperpage{67}, \hyperpage{80, 81},
+ \hyperpage{98}, \hyperpage{104}, \hyperpage{110},
+ \hyperpage{121}, \hyperpage{125}, \hyperpage{155},
+ \hyperpage{183}
+ \item \texttt {objfile}, \hyperpage{61}
+ \item oblique prisms, \hyperpage{88}
+ \item Octahedron, \hyperpage{24}
+ \item octahedron, \hyperpage{128}
+ \item \texttt {offfile}, \hyperpage{62}
+ \item opacity, \hyperpage{45}
+ \item \texttt {opacity}, \hyperpage{45}
+ \item \texttt {origine}, \hyperpage{69}, \hyperpage{108}
+ \item \texttt {orthoproj}, \hyperpage{157}
+ \item \texttt {orthoprojplane3d}, \hyperpage{65}
+ \item \texttt {orthovecteur}, \hyperpage{159}
+
+ \indexspace
+\textbf{P}
+
+ \item paraboloid, \hyperpage{117}
+ \item \texttt {paral}, \hyperpage{161}
+ \item parallelepiped, \hyperpage{135}
+ \item \texttt {parallelopoint}, \hyperpage{157}
+ \item Parameterised curves, \hyperpage{167}
+ \item parameterised functions, \hyperpage{166}
+ \item \texttt {perp}, \hyperpage{161}
+ \item \texttt {plan}, \hyperpage{11}, \hyperpage{57}, \hyperpage{67},
+ \hyperpage{155}
+ \item Plane, \hyperpage{20}
+ \item plane, \hyperpage{16}, \hyperpage{67}, \hyperpage{155}
+ \item \texttt {plangrid}, \hyperpage{68}
+ \item \texttt {planmarks}, \hyperpage{68}
+ \item Point, \hyperpage{20}
+ \item point, \hyperpage{64}, \hyperpage{156}
+ \item \texttt {point}, \hyperpage{64}, \hyperpage{156}
+ \item polygon, \hyperpage{152}, \hyperpage{162}
+ \item \texttt {polygone}, \hyperpage{162}
+ \item \texttt {pos}, \hyperpage{156}, \hyperpage{168, 169}
+ \item Prism, \hyperpage{24}
+ \item prism, \hyperpage{31}, \hyperpage{87}
+ \item \texttt {prisme}, \hyperpage{45}
+ \item \texttt {prismecreux}, \hyperpage{45}
+ \item project, \hyperpage{168}
+ \item projecting, \hyperpage{172, 173}
+ \item projection, \hyperpage{155}, \hyperpage{169--171}
+ \item projection plane, \hyperpage{155}
+ \item projection screen, \hyperpage{14}
+ \item \texttt {projx}, \hyperpage{157}
+ \item \texttt {projy}, \hyperpage{157}
+ \item \texttt {\textbackslash psProjection}, \hyperpage{11},
+ \hyperpage{121}, \hyperpage{155, 156}, \hyperpage{159},
+ \hyperpage{167--169}
+ \item \texttt {\textbackslash psSolid}, \hyperpage{11},
+ \hyperpage{19}, \hyperpage{27}, \hyperpage{29},
+ \hyperpage{33}, \hyperpage{42, 43}, \hyperpage{45},
+ \hyperpage{57}, \hyperpage{60--62}, \hyperpage{67},
+ \hyperpage{73}, \hyperpage{75}, \hyperpage{80},
+ \hyperpage{92}, \hyperpage{98--100}, \hyperpage{110},
+ \hyperpage{121}, \hyperpage{138}, \hyperpage{155}
+ \item \texttt {\textbackslash psSurface}, \hyperpage{11},
+ \hyperpage{121}
+ \item pyramid, \hyperpage{125}, \hyperpage{127}
+
+ \indexspace
+\textbf{Q}
+
+ \item \texttt {QZ}, \hyperpage{116}
+
+ \indexspace
+\textbf{R}
+
+ \item \texttt {R}, \hyperpage{98}
+ \item \texttt {r}, \hyperpage{81}, \hyperpage{98}
+ \item \texttt {range}, \hyperpage{81}, \hyperpage{104},
+ \hyperpage{110}, \hyperpage{162}, \hyperpage{167}
+ \item resolution, \hyperpage{83}
+ \item \texttt {resolution}, \hyperpage{11}, \hyperpage{77}
+ \item RGB, \hyperpage{41}
+ \item right angle, \hyperpage{165}
+ \item right prism, \hyperpage{88}
+ \item \texttt {rightangle}, \hyperpage{165}
+ \item rings, \hyperpage{98}, \hyperpage{147}
+ \item \texttt {rm}, \hyperpage{34}, \hyperpage{92}
+ \item roof gutter, \hyperpage{90}
+ \item \texttt {rotatedroite}, \hyperpage{161}
+ \item \texttt {rotateOpoint3d}, \hyperpage{65}
+ \item \texttt {rotatepoint}, \hyperpage{157}
+ \item \texttt {rotatepol}, \hyperpage{163}
+ \item rotation, \hyperpage{28}
+ \item \texttt {run}, \hyperpage{93}
+
+ \indexspace
+\textbf{S}
+
+ \item saddle, \hyperpage{116}
+ \item saturation, \hyperpage{40}
+ \item \texttt {scaleOpoint3d}, \hyperpage{65}
+ \item sea shell, \hyperpage{110}
+ \item \texttt {section}, \hyperpage{100}
+ \item \texttt {show}, \hyperpage{34}
+ \item \texttt {showBase}, \hyperpage{68}
+ \item \texttt {showbase}, \hyperpage{68}
+ \item \texttt {showOrigin}, \hyperpage{18}
+ \item sinusoidal wave, \hyperpage{118}
+ \item Slice, \hyperpage{125}
+ \item slice, \hyperpage{127}
+ \item slicing, \hyperpage{123}
+ \item \texttt {solid}, \hyperpage{152}
+ \item Solid strip, \hyperpage{95}
+ \item \texttt {solidcentreface}, \hyperpage{64}
+ \item \texttt {solidface}, \hyperpage{72}
+ \item \texttt {solidgetsommet}, \hyperpage{64}
+ \item \texttt {solidmemory}, \hyperpage{121, 122}
+ \item \texttt {sommets}, \hyperpage{91}, \hyperpage{93}
+ \item Sphere, \hyperpage{23}
+ \item \texttt {sphere}, \hyperpage{45}
+ \item spherical coordinates, \hyperpage{14}
+ \item spherical zone, \hyperpage{32}
+ \item \texttt {spotX}, \hyperpage{116}
+ \item \texttt {spotY}, \hyperpage{116}
+ \item \texttt {spotZ}, \hyperpage{116}
+ \item Strip, \hyperpage{25}
+ \item \texttt {subv}, \hyperpage{160}
+ \item \texttt {subv3d}, \hyperpage{66}
+ \item Surface, \hyperpage{26}
+ \item \texttt {surfaceparametree}, \hyperpage{110}
+ \item surfaces, \hyperpage{110}
+ \item \texttt {sympoint}, \hyperpage{157}
+ \item \texttt {sympoint3d}, \hyperpage{64}
+ \item \texttt {sympol}, \hyperpage{163}
+
+ \indexspace
+\textbf{T}
+
+ \item Tetrahedron, \hyperpage{24}
+ \item text, \hyperpage{168}
+ \item \texttt {text}, \hyperpage{156}, \hyperpage{168}
+ \item \texttt {texte}, \hyperpage{168}
+ \item thiosulphate ion, \hyperpage{149}
+ \item \texttt {tore}, \hyperpage{45}
+ \item torsion, \hyperpage{55}
+ \item Torus, \hyperpage{23}
+ \item \texttt {tracelignedeniveau}, \hyperpage{11}
+ \item \texttt {transform}, \hyperpage{52}
+ \item transformation, \hyperpage{52}
+ \item Transformations, \hyperpage{153}
+ \item \texttt {translatedroite}, \hyperpage{161}
+ \item \texttt {translatepoint}, \hyperpage{157}
+ \item \texttt {translatepoint3d}, \hyperpage{65}
+ \item \texttt {translatepol}, \hyperpage{163}
+ \item Translation, \hyperpage{27}
+ \item transparency, \hyperpage{45}, \hyperpage{75}
+ \item \texttt {tronccone}, \hyperpage{45}
+ \item \texttt {troncconecreux}, \hyperpage{45}
+ \item \texttt {trunc}, \hyperpage{49}
+ \item truncate, \hyperpage{49}
+ \item Truncated Cone, \hyperpage{22}
+ \item truncation, \hyperpage{49}
+ \item \texttt {trunccoeff}, \hyperpage{49}
+ \item tube, \hyperpage{80}
+
+ \indexspace
+\textbf{V}
+
+ \item Value\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {addv},
+ \hyperpage{160}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {addv3d},
+ \hyperpage{65, 66}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {all},
+ \hyperpage{32}, \hyperpage{49, 50}, \hyperpage{172},
+ \hyperpage{174}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {anneau},
+ \hyperpage{98}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {axesympoint},
+ \hyperpage{157}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {barycentre3d},
+ \hyperpage{64}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {cone},
+ \hyperpage{45}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {conecreux},
+ \hyperpage{45}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {courbe},
+ \hyperpage{79}, \hyperpage{81}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {cpoint},
+ \hyperpage{157}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {crosshatch},
+ \hyperpage{152}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {cube},
+ \hyperpage{45}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {cylindre},
+ \hyperpage{45}, \hyperpage{104}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {cylindrecreux},
+ \hyperpage{45}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {draw},
+ \hyperpage{29}, \hyperpage{122}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {draw*},
+ \hyperpage{29}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {equation},
+ \hyperpage{68}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {hlines},
+ \hyperpage{152}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {hompoint},
+ \hyperpage{157}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {hompoint3d},
+ \hyperpage{64}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {horizontale},
+ \hyperpage{161}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {hue},
+ \hyperpage{35}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {inhue},
+ \hyperpage{35}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {inouthue},
+ \hyperpage{35}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {interdroite},
+ \hyperpage{158}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {interdroitecercle},
+ \hyperpage{158}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {isobarycentre3d},
+ \hyperpage{64}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {mediatrice},
+ \hyperpage{161}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {milieu},
+ \hyperpage{157}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {milieu3d},
+ \hyperpage{65}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {mulv},
+ \hyperpage{160}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {mulv3d},
+ \hyperpage{66}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {new},
+ \hyperpage{125}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {none},
+ \hyperpage{29}, \hyperpage{128}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {normalize},
+ \hyperpage{159}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {normalize3d},
+ \hyperpage{66}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {normalpoint},
+ \hyperpage{70}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {orthoproj},
+ \hyperpage{157}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {orthoprojplane3d},
+ \hyperpage{65}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {orthovecteur},
+ \hyperpage{159}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {paral},
+ \hyperpage{161}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {parallelopoint},
+ \hyperpage{157}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {plan},
+ \hyperpage{67}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {prisme},
+ \hyperpage{45}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {prismecreux},
+ \hyperpage{45}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {projx},
+ \hyperpage{157}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {projy},
+ \hyperpage{157}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {rotateOpoint3d},
+ \hyperpage{65}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {rotatepoint},
+ \hyperpage{157}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {scaleOpoint3d},
+ \hyperpage{65}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {solid},
+ \hyperpage{152}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {solidcentreface},
+ \hyperpage{64}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {solidface},
+ \hyperpage{72}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {solidgetsommet},
+ \hyperpage{64}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {sphere},
+ \hyperpage{45}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {subv},
+ \hyperpage{160}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {subv3d},
+ \hyperpage{66}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {surfaceparametree},
+ \hyperpage{110}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {sympoint},
+ \hyperpage{157}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {sympoint3d},
+ \hyperpage{64}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {tore},
+ \hyperpage{45}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {translatepoint},
+ \hyperpage{157}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {translatepoint3d},
+ \hyperpage{65}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {tronccone},
+ \hyperpage{45}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {troncconecreux},
+ \hyperpage{45}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {vecteur},
+ \hyperpage{159}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {vecteur3d},
+ \hyperpage{66}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {vectprod3d},
+ \hyperpage{66}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {verticale},
+ \hyperpage{161}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {viewpoint},
+ \hyperpage{16}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {vlines},
+ \hyperpage{152}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {writesolid},
+ \hyperpage{84}, \hyperpage{126}\par\leavevmode\hangindent10pt\makebox[10pt][l]{--}\texttt {ydpoint},
+ \hyperpage{158}
+ \item \texttt {vecteur}, \hyperpage{65}, \hyperpage{159}
+ \item \texttt {vecteur3d}, \hyperpage{66}
+ \item Vector, \hyperpage{20}
+ \item vector, \hyperpage{65, 66}, \hyperpage{159}
+ \item Vector product, \hyperpage{66}
+ \item \texttt {vectprod3d}, \hyperpage{66}
+ \item vehicle, \hyperpage{143}
+ \item \texttt {verticale}, \hyperpage{161}
+ \item vertices, \hyperpage{34}, \hyperpage{91}
+ \item view point, \hyperpage{13}
+ \item \texttt {viewpoint}, \hyperpage{16}, \hyperpage{75},
+ \hyperpage{151}
+ \item visibility, \hyperpage{155}
+ \item \texttt {visibility}, \hyperpage{32}, \hyperpage{155},
+ \hyperpage{174}
+ \item \texttt {vlines}, \hyperpage{152}
+
+ \indexspace
+\textbf{W}
+
+ \item wheel, \hyperpage{145}
+ \item \texttt {writeobj}, \hyperpage{61, 62}
+ \item \texttt {writesolid}, \hyperpage{60}, \hyperpage{84},
+ \hyperpage{126}
+
+ \indexspace
+\textbf{Y}
+
+ \item \texttt {ydpoint}, \hyperpage{158}
+
+ \indexspace
+\textbf{Z}
+
+ \item \texttt {Zmax}, \hyperpage{115}
+ \item \texttt {Zmin}, \hyperpage{115}
+
+\end{theindex}
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.log b/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.log
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+This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013) (format=latex 2014.1.13) 22 MAR 2014 19:56
+entering extended mode
+ restricted \write18 enabled.
+ %&-line parsing enabled.
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+\BOOKMARK [0][]{chapter.1}{1 Basics for the package}{}% 1
+\BOOKMARK [1][-]{section.1.1}{1.1 Constitution of the package \205 Distribution}{chapter.1}% 2
+\BOOKMARK [1][-]{section.1.2}{1.2 Installation hints}{chapter.1}% 3
+\BOOKMARK [1][-]{section.1.3}{1.3 Preface}{chapter.1}% 4
+\BOOKMARK [1][-]{section.1.4}{1.4 Presentation}{chapter.1}% 5
+\BOOKMARK [1][-]{section.1.5}{1.5 Changes by comparison with previous versions}{chapter.1}% 6
+\BOOKMARK [2][-]{subsection.1.5.1}{1.5.1 Changes compared to version 3.0}{section.1.5}% 7
+\BOOKMARK [2][-]{subsection.1.5.2}{1.5.2 Changes compared to version 2.0}{section.1.5}% 8
+\BOOKMARK [0][]{chapter.2}{2 Setting the layout of the scenery}{}% 9
+\BOOKMARK [1][-]{section.2.1}{2.1 Choice of the view point}{chapter.2}% 10
+\BOOKMARK [1][-]{section.2.2}{2.2 The definition of the option Decran}{chapter.2}% 11
+\BOOKMARK [1][-]{section.2.3}{2.3 Lighting by a point light source}{chapter.2}% 12
+\BOOKMARK [1][-]{section.2.4}{2.4 The axes in 3d}{chapter.2}% 13
+\BOOKMARK [0][]{chapter.3}{3 Predefined solids and their positioning}{}% 14
+\BOOKMARK [1][-]{section.3.1}{3.1 The predefined solids and their parameters}{chapter.3}% 15
+\BOOKMARK [1][-]{section.3.2}{3.2 Positioning a solid}{chapter.3}% 16
+\BOOKMARK [2][-]{subsection.3.2.1}{3.2.1 Translation}{section.3.2}% 17
+\BOOKMARK [2][-]{subsection.3.2.2}{3.2.2 Rotation}{section.3.2}% 18
+\BOOKMARK [0][]{chapter.4}{4 More options of \134psSolid}{}% 19
+\BOOKMARK [1][-]{section.4.1}{4.1 Commands for drawing}{chapter.4}% 20
+\BOOKMARK [1][-]{section.4.2}{4.2 Emptying a solid}{chapter.4}% 21
+\BOOKMARK [1][-]{section.4.3}{4.3 Numbering of the faces}{chapter.4}% 22
+\BOOKMARK [1][-]{section.4.4}{4.4 Removing faces}{chapter.4}% 23
+\BOOKMARK [1][-]{section.4.5}{4.5 Numbering of the vertices}{chapter.4}% 24
+\BOOKMARK [1][-]{section.4.6}{4.6 Colours and the nuances of a colour}{chapter.4}% 25
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+\BOOKMARK [2][-]{subsection.4.6.2}{4.6.2 Predefined colours by the option svgnames}{section.4.6}% 27
+\BOOKMARK [2][-]{subsection.4.6.3}{4.6.3 Nuances in the colour scheme of HSB, saturation and maximum brilliance}{section.4.6}% 28
+\BOOKMARK [2][-]{subsection.4.6.4}{4.6.4 Nuances in the colour scheme of HSB, saturation and fixed brilliance}{section.4.6}% 29
+\BOOKMARK [2][-]{subsection.4.6.5}{4.6.5 Nuances in the colour scheme of HSB, gneral case}{section.4.6}% 30
+\BOOKMARK [2][-]{subsection.4.6.6}{4.6.6 Nuances in the colour scheme of RGB}{section.4.6}% 31
+\BOOKMARK [2][-]{subsection.4.6.7}{4.6.7 Nuances in the colour scheme of CMYK}{section.4.6}% 32
+\BOOKMARK [2][-]{subsection.4.6.8}{4.6.8 Nuances between 2 named colours}{section.4.6}% 33
+\BOOKMARK [2][-]{subsection.4.6.9}{4.6.9 Deactivation of the colour application}{section.4.6}% 34
+\BOOKMARK [1][-]{section.4.7}{4.7 Colouring some single faces}{chapter.4}% 35
+\BOOKMARK [1][-]{section.4.8}{4.8 Nuances of transparency}{chapter.4}% 36
+\BOOKMARK [1][-]{section.4.9}{4.9 Definition of grating}{chapter.4}% 37
+\BOOKMARK [2][-]{subsection.4.9.1}{4.9.1 The cube}{section.4.9}% 38
+\BOOKMARK [2][-]{subsection.4.9.2}{4.9.2 Sphere}{section.4.9}% 39
+\BOOKMARK [2][-]{subsection.4.9.3}{4.9.3 Cylinders}{section.4.9}% 40
+\BOOKMARK [2][-]{subsection.4.9.4}{4.9.4 Torus}{section.4.9}% 41
+\BOOKMARK [1][-]{section.4.10}{4.10 The modes}{chapter.4}% 42
+\BOOKMARK [1][-]{section.4.11}{4.11 Truncate a solid's vertices}{chapter.4}% 43
+\BOOKMARK [1][-]{section.4.12}{4.12 Hollowing out a solid's faces}{chapter.4}% 44
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+\BOOKMARK [1][-]{section.4.14}{4.14 The option transform}{chapter.4}% 46
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+\BOOKMARK [2][-]{subsection.4.14.2}{4.14.2 Different scaling factors for the three coordinates}{section.4.14}% 48
+\BOOKMARK [2][-]{subsection.4.14.3}{4.14.3 Transformation associated with the distance to the origin}{section.4.14}% 49
+\BOOKMARK [2][-]{subsection.4.14.4}{4.14.4 Bending and torsion of beams}{section.4.14}% 50
+\BOOKMARK [1][-]{section.4.15}{4.15 Lines of intersecting planes}{chapter.4}% 51
+\BOOKMARK [0][]{chapter.5}{5 Usage of external files}{}% 52
+\BOOKMARK [1][-]{section.5.1}{5.1 Using the data file types .obj and .off}{chapter.5}% 53
+\BOOKMARK [2][-]{subsection.5.1.1}{5.1.1 .dat files \(specific to pst-solides3d\)}{section.5.1}% 54
+\BOOKMARK [2][-]{subsection.5.1.2}{5.1.2 .obj files}{section.5.1}% 55
+\BOOKMARK [2][-]{subsection.5.1.3}{5.1.3 .off files}{section.5.1}% 56
+\BOOKMARK [0][]{chapter.6}{6 Some special objects}{}% 57
+\BOOKMARK [1][-]{section.6.1}{6.1 The grid}{chapter.6}% 58
+\BOOKMARK [1][-]{section.6.2}{6.2 The object point}{chapter.6}% 59
+\BOOKMARK [2][-]{subsection.6.2.1}{6.2.1 Definition via coordinates}{section.6.2}% 60
+\BOOKMARK [2][-]{subsection.6.2.2}{6.2.2 Some other definitions}{section.6.2}% 61
+\BOOKMARK [1][-]{section.6.3}{6.3 The object vecteur}{chapter.6}% 62
+\BOOKMARK [2][-]{subsection.6.3.1}{6.3.1 Definition with components}{section.6.3}% 63
+\BOOKMARK [2][-]{subsection.6.3.2}{6.3.2 Definition with 2 points}{section.6.3}% 64
+\BOOKMARK [2][-]{subsection.6.3.3}{6.3.3 Some other definitions of a vector}{section.6.3}% 65
+\BOOKMARK [1][-]{section.6.4}{6.4 The object plan}{chapter.6}% 66
+\BOOKMARK [2][-]{subsection.6.4.1}{6.4.1 Presentation: type plan and type solid }{section.6.4}% 67
+\BOOKMARK [2][-]{subsection.6.4.2}{6.4.2 Defining an oriented plane}{section.6.4}% 68
+\BOOKMARK [2][-]{subsection.6.4.3}{6.4.3 Special options}{section.6.4}% 69
+\BOOKMARK [2][-]{subsection.6.4.4}{6.4.4 Defining a plane with a cartesian equation}{section.6.4}% 70
+\BOOKMARK [2][-]{subsection.6.4.5}{6.4.5 Defining a plane using a normal vector and a point}{section.6.4}% 71
+\BOOKMARK [2][-]{subsection.6.4.6}{6.4.6 Defining a plane from a face of a solid}{section.6.4}% 72
+\BOOKMARK [1][-]{section.6.5}{6.5 The object geode}{chapter.6}% 73
+\BOOKMARK [2][-]{subsection.6.5.1}{6.5.1 Mathematical presentation}{section.6.5}% 74
+\BOOKMARK [2][-]{subsection.6.5.2}{6.5.2 Construction with pst-solides3d}{section.6.5}% 75
+\BOOKMARK [2][-]{subsection.6.5.3}{6.5.3 Some examples of geodes and their duals}{section.6.5}% 76
+\BOOKMARK [2][-]{subsection.6.5.4}{6.5.4 The parameters of the geodes}{section.6.5}% 77
+\BOOKMARK [2][-]{subsection.6.5.5}{6.5.5 Advice for a `fast' construction of a geode}{section.6.5}% 78
+\BOOKMARK [2][-]{subsection.6.5.6}{6.5.6 Some other examples}{section.6.5}% 79
+\BOOKMARK [0][]{chapter.7}{7 Generating some new solids}{}% 80
+\BOOKMARK [1][-]{section.7.1}{7.1 The jps code}{chapter.7}% 81
+\BOOKMARK [1][-]{section.7.2}{7.2 Defining a function}{chapter.7}% 82
+\BOOKMARK [1][-]{section.7.3}{7.3 Curves of functions from R in R3}{chapter.7}% 83
+\BOOKMARK [1][-]{section.7.4}{7.4 Tubes}{chapter.7}% 84
+\BOOKMARK [2][-]{subsection.7.4.1}{7.4.1 Usage with PSTricks}{section.7.4}% 85
+\BOOKMARK [2][-]{subsection.7.4.2}{7.4.2 Usage with \134codejps}{section.7.4}% 86
+\BOOKMARK [2][-]{subsection.7.4.3}{7.4.3 Improving the speed of readout}{section.7.4}% 87
+\BOOKMARK [2][-]{subsection.7.4.4}{7.4.4 Some other examples}{section.7.4}% 88
+\BOOKMARK [1][-]{section.7.5}{7.5 The prism}{chapter.7}% 89
+\BOOKMARK [1][-]{section.7.6}{7.6 Construction from scratch}{chapter.7}% 90
+\BOOKMARK [2][-]{subsection.7.6.1}{7.6.1 Example 1: a house}{section.7.6}% 91
+\BOOKMARK [2][-]{subsection.7.6.2}{7.6.2 Example 2: a hyperboloid with a fixed radius}{section.7.6}% 92
+\BOOKMARK [2][-]{subsection.7.6.3}{7.6.3 Example 3: importing external files}{section.7.6}% 93
+\BOOKMARK [1][-]{section.7.7}{7.7 One- and two-sided solids}{chapter.7}% 94
+\BOOKMARK [2][-]{subsection.7.7.1}{7.7.1 Triangular `faces'}{section.7.7}% 95
+\BOOKMARK [2][-]{subsection.7.7.2}{7.7.2 `face' defined by a function}{section.7.7}% 96
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+\BOOKMARK [2][-]{subsection.7.8.1}{7.8.1 A simple folding screen}{section.7.8}% 98
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+\BOOKMARK [2][-]{subsection.7.8.4}{7.8.4 An asteroidal folding screen: version 1}{section.7.8}% 101
+\BOOKMARK [2][-]{subsection.7.8.5}{7.8.5 An asteroidal folding screen: version 2}{section.7.8}% 102
+\BOOKMARK [1][-]{section.7.9}{7.9 Solid rings}{chapter.7}% 103
+\BOOKMARK [2][-]{subsection.7.9.1}{7.9.1 Predefined command: the ring with a rectangular section}{section.7.9}% 104
+\BOOKMARK [2][-]{subsection.7.9.2}{7.9.2 Example 1: a simple ring with a triangular section}{section.7.9}% 105
+\BOOKMARK [2][-]{subsection.7.9.3}{7.9.3 Example 2: a ring with a variable triangular section}{section.7.9}% 106
+\BOOKMARK [2][-]{subsection.7.9.4}{7.9.4 Example 3: a ring with a``tyre''-like section: cylindric ring with chamfered edges}{section.7.9}% 107
+\BOOKMARK [2][-]{subsection.7.9.5}{7.9.5 Example 4: an empty bobbin}{section.7.9}% 108
+\BOOKMARK [2][-]{subsection.7.9.6}{7.9.6 Some other rings}{section.7.9}% 109
+\BOOKMARK [1][-]{section.7.10}{7.10 Generalization of the notion of a cylinder and a cone}{chapter.7}% 110
+\BOOKMARK [2][-]{subsection.7.10.1}{7.10.1 Cylinder or cylindric area}{section.7.10}% 111
+\BOOKMARK [2][-]{subsection.7.10.2}{7.10.2 Cone or conic area}{section.7.10}% 112
+\BOOKMARK [1][-]{section.7.11}{7.11 Parameterised surfaces}{chapter.7}% 113
+\BOOKMARK [2][-]{subsection.7.11.1}{7.11.1 The method}{section.7.11}% 114
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+\BOOKMARK [2][-]{subsection.7.11.4}{7.11.4 Example 3: a cone}{section.7.11}% 117
+\BOOKMARK [2][-]{subsection.7.11.5}{7.11.5 An advised website}{section.7.11}% 118
+\BOOKMARK [0][]{chapter.8}{8 Surfaces defined by a function of the form z=f\(x,y\)}{}% 119
+\BOOKMARK [1][-]{section.8.1}{8.1 Presentation}{chapter.8}% 120
+\BOOKMARK [1][-]{section.8.2}{8.2 Example 1: a saddle}{chapter.8}% 121
+\BOOKMARK [1][-]{section.8.3}{8.3 Example 2: a saddle without a grid}{chapter.8}% 122
+\BOOKMARK [1][-]{section.8.4}{8.4 Example 3: a paraboloid}{chapter.8}% 123
+\BOOKMARK [1][-]{section.8.5}{8.5 Example 4: a sinusoidal wave}{chapter.8}% 124
+\BOOKMARK [1][-]{section.8.6}{8.6 Example 5: another sinusoidal wave}{chapter.8}% 125
+\BOOKMARK [1][-]{section.8.7}{8.7 Example 6: a hyperbolic paraboloid with the equation z = xy}{chapter.8}% 126
+\BOOKMARK [1][-]{section.8.8}{8.8 Example 7: a surface with the equation z = xy\(x2+y2\)}{chapter.8}% 127
+\BOOKMARK [1][-]{section.8.9}{8.9 Example 8: a surface with the equation z = \(1-x2+y22\)2}{chapter.8}% 128
+\BOOKMARK [0][]{chapter.9}{9 Advanced usage}{}% 129
+\BOOKMARK [1][-]{section.9.1}{9.1 Naming a solid}{chapter.9}% 130
+\BOOKMARK [1][-]{section.9.2}{9.2 Sectioning a solid with a plane}{chapter.9}% 131
+\BOOKMARK [2][-]{subsection.9.2.1}{9.2.1 Drawing the intersection between a plane and a solid}{section.9.2}% 132
+\BOOKMARK [2][-]{subsection.9.2.2}{9.2.2 Slicing a solid}{section.9.2}% 133
+\BOOKMARK [2][-]{subsection.9.2.3}{9.2.3 Slice of a pyramid}{section.9.2}% 134
+\BOOKMARK [2][-]{subsection.9.2.4}{9.2.4 Slicing an octahedron with a plane parallel to one of its faces}{section.9.2}% 135
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+\BOOKMARK [2][-]{subsection.9.2.8}{9.2.8 Some more examples}{section.9.2}% 139
+\BOOKMARK [1][-]{section.9.3}{9.3 Fusing solids}{chapter.9}% 140
+\BOOKMARK [1][-]{section.9.4}{9.4 Fusing with jps code}{chapter.9}% 141
+\BOOKMARK [2][-]{subsection.9.4.1}{9.4.1 Using jps code}{section.9.4}% 142
+\BOOKMARK [2][-]{subsection.9.4.2}{9.4.2 A chloride ion}{section.9.4}% 143
+\BOOKMARK [2][-]{subsection.9.4.3}{9.4.3 A prototype of a vehicle}{section.9.4}% 144
+\BOOKMARK [2][-]{subsection.9.4.4}{9.4.4 A wheel \205 or a space station}{section.9.4}% 145
+\BOOKMARK [2][-]{subsection.9.4.5}{9.4.5 Intersection of two cylinders}{section.9.4}% 146
+\BOOKMARK [2][-]{subsection.9.4.6}{9.4.6 Intersection between a sphere and a cylinder}{section.9.4}% 147
+\BOOKMARK [2][-]{subsection.9.4.7}{9.4.7 Two linked rings}{section.9.4}% 148
+\BOOKMARK [2][-]{subsection.9.4.8}{9.4.8 The methane molecule: wooden model}{section.9.4}% 149
+\BOOKMARK [2][-]{subsection.9.4.9}{9.4.9 The thiosulphate ion}{section.9.4}% 150
+\BOOKMARK [0][]{chapter.10}{10 Interaction with PSTricks}{}% 151
+\BOOKMARK [1][-]{section.10.1}{10.1 Positioning a named point}{chapter.10}% 152
+\BOOKMARK [1][-]{section.10.2}{10.2 Drawing a line}{chapter.10}% 153
+\BOOKMARK [1][-]{section.10.3}{10.3 Drawing a polygon}{chapter.10}% 154
+\BOOKMARK [1][-]{section.10.4}{10.4 Transformations to a point}{chapter.10}% 155
+\BOOKMARK [1][-]{section.10.5}{10.5 Adding dimensions to the scenery}{chapter.10}% 156
+\BOOKMARK [0][]{chapter.11}{11 Projections}{}% 157
+\BOOKMARK [1][-]{section.11.1}{11.1 Presentation}{chapter.11}% 158
+\BOOKMARK [1][-]{section.11.2}{11.2 The parameter visibility}{chapter.11}% 159
+\BOOKMARK [1][-]{section.11.3}{11.3 Defining a projection plane}{chapter.11}% 160
+\BOOKMARK [1][-]{section.11.4}{11.4 Points}{chapter.11}% 161
+\BOOKMARK [2][-]{subsection.11.4.1}{11.4.1 Direct definition}{section.11.4}% 162
+\BOOKMARK [2][-]{subsection.11.4.2}{11.4.2 Labels}{section.11.4}% 163
+\BOOKMARK [2][-]{subsection.11.4.3}{11.4.3 Naming and memorising a point}{section.11.4}% 164
+\BOOKMARK [2][-]{subsection.11.4.4}{11.4.4 Some other definitions}{section.11.4}% 165
+\BOOKMARK [1][-]{section.11.5}{11.5 Vectors}{chapter.11}% 166
+\BOOKMARK [2][-]{subsection.11.5.1}{11.5.1 Direct definition}{section.11.5}% 167
+\BOOKMARK [2][-]{subsection.11.5.2}{11.5.2 Some more definitions}{section.11.5}% 168
+\BOOKMARK [1][-]{section.11.6}{11.6 Lines}{chapter.11}% 169
+\BOOKMARK [2][-]{subsection.11.6.1}{11.6.1 Direct definition}{section.11.6}% 170
+\BOOKMARK [2][-]{subsection.11.6.2}{11.6.2 Some other definitions}{section.11.6}% 171
+\BOOKMARK [1][-]{section.11.7}{11.7 Circles}{chapter.11}% 172
+\BOOKMARK [2][-]{subsection.11.7.1}{11.7.1 Direct definition}{section.11.7}% 173
+\BOOKMARK [2][-]{subsection.11.7.2}{11.7.2 Some other definitions}{section.11.7}% 174
+\BOOKMARK [1][-]{section.11.8}{11.8 Polygons}{chapter.11}% 175
+\BOOKMARK [2][-]{subsection.11.8.1}{11.8.1 Direct definition}{section.11.8}% 176
+\BOOKMARK [1][-]{section.11.9}{11.9 Lines}{chapter.11}% 177
+\BOOKMARK [2][-]{subsection.11.9.1}{11.9.1 Direct definition}{section.11.9}% 178
+\BOOKMARK [1][-]{section.11.10}{11.10 Right angle}{chapter.11}% 179
+\BOOKMARK [2][-]{subsection.11.10.1}{11.10.1 Direct definition}{section.11.10}% 180
+\BOOKMARK [1][-]{section.11.11}{11.11 Curves of real-valued and parameterised functions}{chapter.11}% 181
+\BOOKMARK [2][-]{subsection.11.11.1}{11.11.1 Curve of a real-valued function}{section.11.11}% 182
+\BOOKMARK [2][-]{subsection.11.11.2}{11.11.2 Parameterised curves}{section.11.11}% 183
+\BOOKMARK [1][-]{section.11.12}{11.12 Text}{chapter.11}% 184
+\BOOKMARK [2][-]{subsection.11.12.1}{11.12.1 The parameters and the options}{section.11.12}% 185
+\BOOKMARK [2][-]{subsection.11.12.2}{11.12.2 Examples of projecting onto a plane}{section.11.12}% 186
+\BOOKMARK [2][-]{subsection.11.12.3}{11.12.3 Examples for projecting onto a face of a solid}{section.11.12}% 187
+\BOOKMARK [2][-]{subsection.11.12.4}{11.12.4 Examples of projecting onto different faces of a solid}{section.11.12}% 188
+\BOOKMARK [1][-]{section.11.13}{11.13 Projection of images}{chapter.11}% 189
+\BOOKMARK [1][-]{section.11.14}{11.14 A bit of theory}{chapter.11}% 190
+\BOOKMARK [0][]{chapter.12}{12 Possible extensions}{}% 191
+\BOOKMARK [1][-]{section.12.1}{12.1 Creating your own object}{chapter.12}% 192
+\BOOKMARK [1][-]{section.12.2}{12.2 Creating a .u3d file}{chapter.12}% 193
+\BOOKMARK [0][]{appendix.A}{A Appendix}{}% 194
+\BOOKMARK [1][-]{section.A.1}{A.1 The parameters of pst-solides3d}{appendix.A}% 195
+\BOOKMARK [1][-]{section.A.2}{A.2 Alphabetical list of keywords}{appendix.A}% 196
+\BOOKMARK [1][-]{section.A.3}{A.3 Acknowledgments}{appendix.A}% 197
+\BOOKMARK [1][-]{section.A.4}{A.4 The poems}{appendix.A}% 198
+\BOOKMARK [0][]{appendix*.60}{Bibliography}{}% 199
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+ systemdict
+ /setstrokeadjust known { true setstrokeadjust } if
+ /ma a neg def
+ /ha a 2 div def
+ /mha ha neg def
+ /tile {
+ rand dup 2 idiv 2 mul eq { 90 rotate } if
+ mha mha moveto ha mha lineto
+ ha ha lineto mha ha lineto
+% closepath .1 setlinewidth stroke
+ contents
+ } def
+ /contents{
+ 0 ha moveto ha 0 lineto
+ 0 mha moveto mha 0 lineto
+% 1 setlinewidth stroke
+ } def
+ /dotiling {
+ f ma mul a f a mul {
+ /i exch def
+ f ma mul a f a mul {
+ /j exch def
+ gsave i j translate
+ tile stroke grestore
+ } for
+ } for
+ } def
+%
+ /f 3 def
+ 5 srand dotiling
+ end % local user dict
+} def
+%
+/BeginArrow {
+ ADict begin % hold it local, for end see EndArrow
+ /@mtrx CM def
+ gsave
+ 2 copy T
+ 2 index sub neg exch
+ 3 index sub exch Atan
+ rotate newpath
+} def
+%
+/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict
+%
+/Arrow {
+ CLW mul add dup
+ 2 div /w ED
+ mul dup /h ED
+ mul /a ED
+ { 0 h T 1 -1 scale } if
+ w neg h moveto
+ 0 0 L w h L w neg a neg rlineto
+ gsave fill grestore
+} def
+%
+/ArrowD { % the sides are drawn as curves (hv 20071211)
+ CLW mul add dup
+ 2 div /w ED
+ mul dup /h ED
+ mul /Inset ED
+ { 0 h T 1 -1 scale } if % changes the direction
+% we use y=w/h^2 * x^2 as equation for the control points
+% for the coordinates the arrow is seen from top to bottom
+% the bottom (tip) is (0;0)
+ w neg h moveto % lower left of >
+ w 9 div 4 mul neg h 3 div 2 mul
+ w 9 div neg h 3 div
+ 0 0 curveto % tip of >
+ w 9 div h 3 div
+ w 9 div 4 mul h 3 div 2 mul
+ w h curveto % upper left of >
+ w neg Inset neg rlineto % move to x=0 and inset
+ gsave fill grestore
+} def
+%
+/Tbar {
+ CLW mul add /z ED
+ z -2 div CLW 2 div moveto
+ z 0 rlineto stroke
+ 0 CLW moveto
+} def
+%
+/Bracket {
+ CLW mul add dup CLW sub 2 div
+ /x ED mul CLW add /y ED /z CLW 2 div def
+ x neg y moveto
+ x neg CLW 2 div L x CLW 2 div L x y L stroke
+ 0 CLW moveto
+} def
+%
+/RoundBracket {
+ CLW mul add dup 2 div
+ /x ED mul /y ED /mtrx CM def
+ 0 CLW 2 div T x y mul 0 ne { x y scale } if
+ 1 1 moveto
+ .85 .5 .35 0 0 0 curveto
+ -.35 0 -.85 .5 -1 1 curveto
+ mtrx setmatrix stroke 0 CLW moveto
+} def
+%
+/SD { 0 360 arc fill } def
+%
+/EndDot { % DS is the dot size
+ { /z DS def } { /z 0 def } ifelse % outer or inner dimen
+ /b ED % the color definition
+ 0 z DS SD
+ b { 0 z DS CLW sub SD } if
+ 0 DS z add CLW 4 div sub
+ moveto
+} def
+%
+/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
+ /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
+ load } if ] cvx newpath 3 1 roll T exec } def
+%
+/NArray { % holds the coordinates and on top of stack the showpoints boolean
+ /showpoints ED
+ counttomark 2 div dup cvi /n ED % n 2 div on stack
+ n eq not { exch pop } if % even numbers of points? delete one
+ ] aload /Points ED
+ showpoints not { Points aload pop } if
+% { ] aload /Points ED }
+% { n 2 mul 1 add -1 roll pop } ifelse % delete the mark symbol
+} def
+%
+/Line {
+ NArray n 0 eq not
+ { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def
+ n { Lineto } repeat
+ CP 4 2 roll ArrowB L pop pop
+ } if
+} def
+%
+/LineToYAxis {
+ /Ox ED % Save the x origin value
+ NArray % all x-y pairs on stack
+ n { 2 copy moveto % go to current point
+ Ox exch Lineto % line to y-axis
+ pop % delete old x-value
+ } repeat
+} def
+%
+/LineToXAxis{
+ /Oy ED % Save the y origin value
+ NArray % all x-y pairs on stack
+ n 0 eq not
+ { n 1 eq { 0 0 /n 2 def } if
+ ArrowA
+ /n n 2 sub def
+ CP 2 copy moveto pop Oy Lineto
+ n { 2 copy moveto pop Oy Lineto } repeat
+ CP
+ 4 2 roll
+ ArrowB
+ 2 copy moveto pop Oy
+ L
+ pop pop } if
+} def
+%
+/Arcto {
+ /a [ 6 -2 roll ] cvx def
+ a r
+ /arcto load stopped { 5 } { 4 } ifelse { pop } repeat
+ a
+} def
+%
+/CheckClosed {
+ dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
+ and { pop pop /n n 1 sub def } if
+} def
+%
+/Polygon {
+ NArray n 2 eq { 0 0 /n 3 def } if
+ n 3 lt
+ { n { pop pop } repeat }
+ { n 3 gt { CheckClosed } if
+ n 2 mul -2 roll
+ /y0 ED /x0 ED /y1 ED /x1 ED
+ x1 y1
+ /x1 x0 x1 add 2 div def
+ /y1 y0 y1 add 2 div def
+ x1 y1 moveto
+ /n n 2 sub def
+ n { Lineto } repeat
+ x1 y1 x0 y0 6 4 roll Lineto
+ Lineto pop pop closepath } ifelse
+} def
+%
+/SymbolPolygon { % on stack [ x y x y ...
+ counttomark % number of elements
+ 2 add /m ED
+ 2 copy m 2 roll % copy last two
+ m 2 div cvi /n ED % n pairs
+ /YA ED /XA ED % the start point
+ n 1 sub {
+ /YB ED /XB ED
+ /XLength XB XA sub def
+ /YLength YB YA sub def
+ /PAngle YLength XLength Atan def
+ /XYLength XLength YLength Pyth def
+ /nSym XYLength SymStep Div cvi def
+ /Shift Symbol stringwidth pop 2 Div def
+ /deltaX XLength nSym Div def
+ /deltaY YLength nSym Div def
+ XA Shift sub YA Shift sub moveto
+ nSym {
+ gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+ Symbol show
+ grestore
+ deltaX deltaY rmoveto
+ } repeat
+% XB Shift sub YB Shift sub moveto Symbol show
+ /YA YB def /XA XB def
+ } repeat
+ pop % delete the mark symbol
+} def
+%
+/Diamond {
+ /mtrx CM def
+ T rotate
+ /h ED
+ /w ED
+ dup 0 eq { pop } { CLW mul neg
+ /d ED
+ /a w h Atan def
+ /h d a sin Div h add def
+ /w d a cos Div w add def } ifelse
+ mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div
+ /ArrowA { moveto } def
+ /ArrowB { } def
+ false Line
+ closepath mtrx setmatrix } def
+%
+/Triangle {
+ /mtrx CM def
+ translate
+ rotate /h ED 2 div /w ED
+ dup CLW mul /d ED
+ /h h d w h Atan sin Div sub def
+ /w w d h w Atan 2 div dup cos exch sin Div mul sub def
+ mark
+ 0 d w neg d 0 h w d 0 d
+ /ArrowA { moveto } def
+ /ArrowB { } def
+ false
+ Line
+ closepath
+ mtrx
+% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis)
+% setmatrix } def
+ setmatrix pop
+} def
+% DG/SR modification end
+%
+/CCA {
+ /y ED /x ED
+ 2 copy y sub /dy1 ED
+ x sub /dx1 ED
+ /l1 dx1 dy1 Pyth def
+} def
+%
+/CC {
+ /l0 l1 def
+ /x1 x dx sub def
+ /y1 y dy sub def
+ /dx0 dx1 def
+ /dy0 dy1 def
+ CCA
+ /dx dx0 l1 c exp mul dx1 l0 c exp mul add def
+ /dy dy0 l1 c exp mul dy1 l0 c exp mul add def
+ /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def
+ /x2 x l0 dx mul m mul sub def
+ /y2 y l0 dy mul m mul sub def
+ /dx l1 dx mul m mul neg def
+ /dy l1 dy mul m mul neg def
+} def
+%
+/IC {
+ /c c 1 add def
+ c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse
+ /a a 2 mul 3 div 45 cos b exp div def
+ CCA
+ /dx 0 def
+ /dy 0 def
+} def
+%
+/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
+/NC { CC x1 y1 x2 y2 x y curveto } def
+/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
+/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
+/NAC { x2 y2 x y curveto CC x1 y1 } def
+/EAC { x2 y2 x y ArrowB curveto pop pop } def
+%
+/OpenCurve {
+ NArray n 3 lt
+ { n { pop pop } repeat }
+ { BOC /n n 3 sub def n { NC } repeat EOC } ifelse
+} def
+%
+/CurvePath {
+ %% for negative SymStep we calculate the distance
+ SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if
+ 0.5 setflat
+ flattenpath /z 0 def /z0 0 def
+ { /y1 ED /x1 ED /y2 y1 def /x2 x1 def
+ x1 Shift sub y1 Shift sub moveto
+ gsave
+ curveticks
+ { x1 y1 translate startAngle rotate
+ 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto
+ SymbolLinewidth setlinewidth stroke
+ }
+ { startAngle rotate Symbol show }
+ ifelse
+ grestore /z0 z def }
+ { /y ED /x ED PathLength@ z z0 sub SymStep ge {
+ x Shift sub y Shift sub moveto
+ gsave
+ curveticks
+ { y yOld sub x xOld sub Atan 180 sub CorrAngle sub /rotAngle ED
+ x y translate rotAngle rotate
+ 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto
+ SymbolLinewidth setlinewidth stroke
+ }
+ {
+ rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if
+ Symbol show
+ }
+ ifelse
+ grestore /z0 z def } if
+ /yOld y def /xOld x def }
+ {} %% the lineto part
+ { /y y2 def /x x2 def PathLength@
+ x Shift sub y Shift sub moveto
+ gsave
+ curveticks
+ { y yOld sub x xOld sub Atan 180 sub /rotAngle ED
+ x y translate rotAngle rotate
+ 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto
+ SymbolLinewidth setlinewidth stroke
+ }
+ {
+ x Shift sub y Shift sub moveto
+ rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if
+ Symbol show
+ }
+ ifelse
+ grestore
+ }
+ pathforall
+% curveticks
+% { gsave
+% x y translate rotAngle rotate
+% 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto
+% SymbolLinewidth setlinewidth stroke grestore
+% } if
+ z
+} def
+%
+/OpenSymbolCurve {
+ OpenCurve
+ 0.1 setflat
+ /Shift Symbol stringwidth pop 2 div def
+ CurvePath
+} def
+%
+/AltCurve {
+ { false NArray n 2 mul 2 roll
+ [ n 2 mul 3 sub 1 roll ] aload
+ /Points ED
+ n 2 mul -2 roll }
+ { false NArray } ifelse
+ n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse
+} def
+%
+/AltOpenSymbolCurve {
+ AltCurve
+ 0.1 setflat
+ /Shift Symbol stringwidth pop 2 div def
+ CurvePath
+} def
+%
+/ClosedCurve {
+ NArray n 3 lt
+ { n { pop pop } repeat }
+ { n 3 gt { CheckClosed } if
+ 6 copy n 2 mul 6 add 6 roll
+ IC CC x y moveto n { NC } repeat
+ closepath pop pop
+ } ifelse
+} def
+%
+/ClosedSymbolCurve {
+ ClosedCurve
+ 0.1 setflat
+ /Shift Symbol stringwidth pop 2 div def
+ CurvePath
+} def
+%
+/CalcBezierSpline {% Christoph Bersch
+ 10 dict begin
+ /getX { Points exch 2 mul get } def
+ /getY { Points exch 2 mul 1 add get } def
+ /n Points length 1 sub 2 idiv def
+ /GetFirstControlPoints {
+ /x n array def
+ /tmp n array def
+ /b 2 def
+ x 0 rhs 0 get b div put
+ 1 1 n 1 sub {
+ /i exch def
+ tmp i 1 b div dup 4 1 roll put
+ i n 1 sub lt { 4 }{ 3.5 } ifelse exch sub /b exch def
+ x i rhs i get x i 1 sub get sub b div put
+ } for
+ 1 1 n 1 sub {
+ n exch sub
+ dup dup x exch 1 sub 2 copy 6 2 roll
+ get 3 1 roll tmp exch get
+ exch x exch get mul sub
+ put
+ } for
+ x
+ } def
+ %
+ n 1 eq {
+ 0 getX 2 mul 1 getX add 3 div
+ 0 getY 2 mul 1 getY add 3 div
+ exch dup 3 1 roll 2 mul 0 getX sub
+ exch dup 3 1 roll 2 mul 0 getY sub
+ [ 0 getX 0 getY 7 3 roll 1 getX 1 getY ] /outPoints exch def
+ } {
+ /outPoints 6 n mul 2 add array def
+ 0 1 n {
+ dup dup 6 mul dup 1 add
+ outPoints exch 5 -1 roll getY put
+ outPoints exch 3 -1 roll getX put
+ } for
+ /rhs n array def
+ 1 1 n 2 sub {
+ rhs exch dup dup getX 4 mul exch 1 add getX 2 mul add put
+ } for
+ rhs 0 0 getX 1 getX 2 mul add put
+ rhs n 1 sub dup getX 8 mul n getX add 2 div put
+ GetFirstControlPoints
+ 1 1 n 2 sub {
+ rhs exch dup dup getY 4 mul exch 1 add getY 2 mul add put
+ } for
+ rhs 0 0 getY 1 getY 2 mul add put
+ rhs n 1 sub dup getY 8 mul n getY add 2 div put
+ GetFirstControlPoints
+ 0 1 n 1 sub {
+ /i exch def
+ 2 copy
+ i get outPoints 6 i mul 3 add 3 -1 roll put
+ i get outPoints 6 i mul 2 add 3 -1 roll put
+ 2 copy
+ i n 1 sub lt {
+ i 1 add get i 1 add getY 2 mul exch sub outPoints 6 i mul 5 add 3 -1 roll put
+ i 1 add get i 1 add getX 2 mul exch sub outPoints 6 i mul 4 add 3 -1 roll put
+ }{
+ n 1 sub get n getY add 2 div outPoints 6 n 1 sub mul 5 add 3 -1 roll put
+ n 1 sub get n getX add 2 div outPoints 6 n 1 sub mul 4 add 3 -1 roll put
+ } ifelse
+ } for
+ pop pop
+ } ifelse
+ outPoints
+ end
+} def
+/Spline {
+ /showpoints ED
+ counttomark 2 div dup cvi /n ED
+ n eq not { exch pop } if
+ ] /Points ED
+ n 1 gt {
+ CalcBezierSpline
+ mark exch aload pop
+ ArrowA
+ n 2 sub {
+ 6 2 roll 4 2 roll curveto
+ } repeat
+ 6 2 roll 4 2 roll ArrowB curveto
+ } if
+} def
+/OpenSymbolSpline {
+ Spline
+ 0.1 setflat
+ /Shift Symbol stringwidth pop 2 div def
+ CurvePath
+} def
+
+%
+/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
+/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
+/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def
+%
+/FontDot {
+ DS 2 mul dup
+ matrix scale matrix concatmatrix exch matrix
+ rotate matrix concatmatrix exch
+ findfont exch makefont setfont
+} def
+%
+/Rect {
+ x1 y1 y2 add 2 div moveto
+ x1 y2 lineto
+ x2 y2 lineto
+ x2 y1 lineto
+ x1 y1 lineto
+ closepath
+} def
+%
+/OvalFrame {
+ x1 x2 eq y1 y2 eq or
+ { pop pop x1 y1 moveto x2 y2 L }
+ { y1 y2 sub abs x1 x2 sub abs 2 copy gt
+ { exch pop } { pop } ifelse
+ 2 div exch { dup 3 1 roll mul exch } if
+ 2 copy lt { pop } { exch pop } ifelse
+ /b ED
+ x1 y1 y2 add 2 div moveto
+ x1 y2 x2 y2 b arcto
+ x2 y2 x2 y1 b arcto
+ x2 y1 x1 y1 b arcto
+ x1 y1 x1 y2 b arcto
+ 16 { pop } repeat
+ closepath
+ } ifelse
+} def
+%
+/Frame {
+ CLW mul /a ED
+ 3 -1 roll
+ 2 copy gt { exch } if
+ a sub /y2 ED
+ a add /y1 ED
+ 2 copy gt { exch } if
+ a sub /x2 ED
+ a add /x1 ED
+ 1 index 0 eq { pop pop Rect } { OvalFrame } ifelse
+} def
+%
+/BezierNArray {
+ /f ED
+ counttomark 2 div dup cvi /n ED
+ n eq not { exch pop } if
+ n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat
+ f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse
+} def
+%
+/OpenBezier {
+ BezierNArray
+ n 1 eq
+ { pop pop }
+ { ArrowA n 4 sub 3 idiv
+ { 6 2 roll 4 2 roll curveto } repeat
+ 6 2 roll 4 2 roll ArrowB curveto } ifelse
+} def
+%
+/OpenSymbolBezier {
+ OpenBezier
+ 0.1 setflat
+ /Shift Symbol stringwidth pop 2 div def
+ CurvePath
+} def
+%
+/ClosedBezier {
+ BezierNArray
+ n 1 eq
+ { pop pop }
+ { moveto n 1 sub 3 idiv
+ { 6 2 roll 4 2 roll curveto } repeat
+ closepath } ifelse
+} def
+%
+/ClosedSymbolBezier {
+ /f ED % save showpoints value
+ 2 copy /yEnd ED /xEnd ED
+ counttomark -2 roll 2 copy /yStart ED /xStart ED
+ counttomark 2 roll
+ f
+ ClosedBezier
+ 0.1 setflat
+ /Shift Symbol stringwidth pop 2 div def
+ CurvePath
+ [ xEnd yEnd xStart yStart SymbolLine
+} def
+%
+/BezierShowPoints {
+ gsave
+ Points aload length 2 div cvi /n ED
+ moveto
+ n 1 sub { lineto } repeat
+ CLW 2 div SLW [ 4 4 ] 0 setdash stroke
+ grestore
+} def
+%
+/Parab {
+ /y0 ED /x0 ED /y1 ED /x1 ED
+ /dx x0 x1 sub 3 div def
+ /dy y0 y1 sub 3 div def
+ x0 dx sub y0 dy add x1 y1 ArrowA
+ x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB
+ curveto
+ /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def
+} def
+%
+/Parab1 { % 1 end | 0 SP
+ /ySP ED /xSP ED /y1 ED /x1 ED
+ /dx xSP x1 sub 3 div def
+ /dy ySP y1 sub 3 div def
+ newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto
+ x1 ySP lineto closepath clip
+ currentpoint
+ newpath moveto
+ xSP dx sub ySP dy add x1 y1 ArrowA
+ xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB
+ curveto
+ /Points [ x1 y1 xSP ySP xSP 2 mul x1 sub y1 ] def
+} def
+%
+/Grid {
+ newpath
+ /a 4 string def
+ /b ED % psk@gridlabels in pt
+ /c ED % { \pst@usecolor\psgridlabelcolor }
+ /n ED % psk@griddots
+ cvi dup 1 lt { pop 1 } if
+ /s ED % \psk@subgriddiv
+ s div dup 0 eq { pop 1 } if
+ /dy ED s div dup 0 eq { pop 1 } if % \pst@number\psyunit abs
+ /dx ED dy div round dy mul % \pst@number\psxunit abs
+ /y0 ED dx div round dx mul
+ /x0 ED dy div round cvi
+ /y2 ED dx div round cvi
+ /x2 ED dy div round cvi
+ /y1 ED dx div round cvi
+ /x1 ED
+ /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def
+ /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def
+ b 0 gt {
+ /z1 b 4 div CLW 2 div add def
+% /Helvetica findfont b scalefont setfont
+ /b b .95 mul CLW 2 div add def } if
+ systemdict /setstrokeadjust known
+ { true setstrokeadjust /t { } def }
+ { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
+ exch itransform } bind def } ifelse
+ gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse
+ /i x1 def
+ /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def
+ /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def
+ x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if
+ { i dx mul dup y0 moveto
+ b 0 gt
+ { gsave c i a cvs dup stringwidth pop
+ /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse
+ h 0 gt {b neg}{z1} ifelse
+ rmoveto show grestore } if
+ dup t f moveto
+ g t L stroke
+ /i i w add def
+ } repeat
+ grestore
+ gsave
+ n 0 gt
+ % DG/SR modification begin - Nov. 7, 1997 - Patch 1
+ %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
+ { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
+ % DG/SR modification end
+ { 2 setlinecap } ifelse
+ /i y1 def
+ /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def
+ /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def
+ y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if
+ { newpath i dy mul dup x0 exch moveto
+ b 0 gt { gsave c i a cvs dup stringwidth pop
+ /z2 ED
+ w 0 gt {z1 z2 add neg} {z1} ifelse
+ h 0 gt {z1} {b neg} ifelse
+ rmoveto show grestore } if
+ dup f exch t moveto
+ g exch t L stroke
+ /i i h add def
+ } repeat
+ grestore
+} def
+%
+/ArcArrow {
+ /d ED /b ED /a ED
+ gsave
+ newpath 0 -1000 moveto clip
+ newpath
+ 0 1 0 0 b
+ grestore
+ c mul
+ /e ED
+ pop pop pop r a e d PtoC y add exch x add
+ exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
+ mul neg d
+} def
+%
+/Ellipse {
+ /rotAngle ED
+ /mtrx CM def
+ T
+ rotAngle rotate
+ scale 0 0 1 5 3 roll arc
+ mtrx setmatrix
+} def
+%
+/ArcAdjust { %%%% Vincent Guirardel
+% given a target length (targetLength) and an initial angle (angle0) [in the stack],
+% let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
+% This computes an angle t such that (x0,y0) is at distance
+% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
+% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
+% contrary to TvZ's code.
+% To achieve, this, one iterates the following process: start with some angle t,
+% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
+% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
+%
+% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
+% the value of d = add/sub is used to know on which side we have to move.
+% It is only used in the initialisation of the angle before the iteration.
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Input stack: 1: target length 2: initial angle
+% variables used : rx, ry, d (=add/sub)
+%
+ /targetLength ED /angle0 ED
+ /x0 rx angle0 cos mul def
+ /y0 ry angle0 sin mul def
+% we are looking for an angle t such that (x0,y0) is at distance targetLength
+% from the point M(t)=(rx*cos(t),ry*sin(t)))
+%initialisation of angle (using 1st order approx = TvZ's code)
+ targetLength 57.2958 mul
+ angle0 sin rx mul dup mul
+ angle0 cos ry mul dup mul
+ add sqrt div
+% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
+% (if the ellipse is very curved at the point where we draw the arrow, %
+% the value can be much more than 360 degrees !)
+% this should avoid going on the wrong side (more than 180 degrees) or go near
+% a bad attractive point (at 180 degrees)
+ dup 90 ge { pop 90 } if
+ angle0 exch d % add or sub
+% maximum number of times to iterate the iterative procedure:
+% iterative procedure: takes an angle t on top of stack, computes a
+% better angle (and put it on top of stack)
+ 30 { dup
+% compute distance D between (x0,y0) and M(t)
+ dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
+% if D almost equals targetLength, we stop
+ dup targetLength sub abs 1e-5 le { pop exit } if
+% stack now contains D t
+% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
+% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
+ exch dup cos rx mul x0 sub exch sin ry mul y0 sub
+% stack contains: y(t)-y0, x(t)-x0, d
+ 2 index Div targetLength mul y0 add ry Div exch
+ 2 index Div targetLength mul x0 add rx Div
+% stack contains x(t')/rx , y(t')/ry , d
+% now compute t', and remove D from stack
+ atan exch pop
+ } repeat
+% we don't look at what happened... in particular, if targetLength is greater
+% than the diameter of the ellipse...
+% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
+% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
+% to give back the result as a an angle relative to angle0 we could add the following line:
+% angle0 sub 0 exch d
+%
+% begin bug fix 2006-01-11
+% we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180
+%(we don't want to make the ellipse turn more or less than it should)...
+dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
+% end bug fix
+} def
+%
+/EllipticArcArrow {
+ /d ED % is add or sub
+ /b ED % arrow procedure
+ /a1 ED % angle
+ gsave
+ newpath
+ 0 -1000 moveto
+ clip % Set clippath far from arrow.
+ newpath
+ 0 1 0 0 b % Draw arrow to determine length.
+ grestore
+% Length of arrow is on top of stack. Next 3 numbers are junk.
+%
+ a1 exch ArcAdjust % Angular position of base of arrow.
+ /a2 ED
+ pop pop pop
+ a2 cos rx mul xOrig add % hv 2007-08-29 x->xOrig
+ a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig
+ a1 cos rx mul xOrig add %
+ a1 sin ry mul yOrig add %
+% Now arrow tip coor and base coor are on stack.
+ b pop pop pop pop % Draw arrow, and discard coordinates.
+ a2 CLW 8 div
+% change value of d (test it by looking if `` 1 1 d '' gives 2 or not )
+ 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse
+ ArcAdjust
+% resets original value of d
+ 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap.
+} def
+%%------------------ tvz/DG/hv (2004-05-10) end -------------------%%
+%
+/Rot { CP CP translate 3 -1 roll neg rotate NET } def
+%
+/RotBegin {
+ tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if
+ /TMatrix [ TMatrix CM ] cvx def
+ /a ED
+ a Rot /RAngle [ RAngle dup a add ] cvx def
+} def
+%
+/RotEnd {
+ /TMatrix [ TMatrix setmatrix ] cvx def
+ /RAngle [ RAngle pop ] cvx def
+} def
+%
+/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def
+/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def
+/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def
+%
+/Uput {
+ /a ED
+ add 2 div /h ED 2
+ div /w ED
+ /s a sin def
+ /c a cos def
+ /b s abs c abs 2 copy gt dup
+ /q ED
+ { pop } { exch pop } ifelse def
+ /w1 c b div w mul def
+ /h1 s b div h mul def
+ q { w1 abs w sub dup c mul abs }{ h1 abs h sub dup s mul abs } ifelse
+} def
+%
+/UUput {
+ 5 dict begin
+ /z ED
+ abs /y ED
+ /x ED
+ q { x s div c mul abs y gt }{ x c div s mul abs y gt } ifelse
+ { x x mul y y mul sub z z mul add sqrt z add }
+ { q { x s div } { x c div } ifelse abs
+ } ifelse
+ a PtoC
+ h1 add exch
+ w1 add exch
+ end
+} def
+%
+end
+%-----------------------------------------------------------------------------%
+%
+% END pstricks.pro
+
+%%EndProcSet
+%%BeginProcSet: pst-algparser.pro 0 0
+% $Id: pst-algparser.pro 801 2013-07-09 18:10:41Z herbert $
+%%
+%% PostScript prologue for PSTricks algorithm parser
+%% Version 0.04, 2011/10/21
+%%
+%% 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.
+%%
+%%-----------------------------------------------------------------------------%
+%
+/AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez
+%
+/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
+%
+% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.13
+%
+% 09/2011 DR factorial with ! added
+%
+% E->T|E+T
+% T->FS|T*FS
+% FS -> F | +FS | -FS
+% F->P|F^SF|P!
+% P->(E)|literal
+% literal->number|var|var[E]|func(params)
+% params->E|E,param
+% number->TOBEFINISHED
+%
+%% E expression, T term, SF signed factor, F factor, P power
+%
+%% parser
+%
+%% str
+%
+%% C->E<condition_operators>E
+%% STR index -> STR index+lenExpr
+/AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def
+%
+%% analyze Expression List (separator , or | )
+%% STR index -> STR index+lenExpr
+%% /AnalyzeListOfE {
+%% { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar
+%% NextNonBlankChar dup 0 eq { pop exit } if
+%% dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if
+%% pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop
+%% AnalyzeListOfEPostHook
+%% } def
+/AnalyzeListOfE {
+ /NotFirst false def
+ { NextNonBlankChar pop AnalyzeExpr
+ NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse
+ dup Strlen eq { exit } if NextNonBlankChar
+ dup 44 ne 1 index 124 ne and
+ { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse }
+ if pop 1 add } loop
+ AnalyzeListOfEPostHook
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% E->T|E+T
+%% STR index -> STR index+lenExpr
+/AnalyzeExpr {
+ AnalyzePreHook AnalyzeTerm IsEndingExpr
+ { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
+ { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop }
+ ifelse
+ AnalyzePostHook
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% T->FS|T*FS
+%% STR index
+/AnalyzeTerm {
+ AnalyzePreHook AnalyzeSignedFactor IsEndingTerm
+ { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
+ { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop }
+ ifelse
+ AnalyzePostHook
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% FS -> F | +FS | -FS
+%% STR index
+/AnalyzeSignedFactor {
+ AnalyzePreHook 2 copy get dup IsUnaryOp
+ { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp }
+ { pop AnalyzeFactor }
+ ifelse AnalyzePostHook
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% F->P|F^P|P!
+%% STR index
+/AnalyzeFactor {
+ AnalyzePreHook AnalyzePower IsEndingFactor
+ { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
+ { { dup 33 eq%% is there a ! DR 09/2011
+ { pop 1 add NextNonBlankChar pop EvalFactorial }
+ { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower }
+ ifelse
+ IsEndingFactor { pop exit } if } loop }
+ ifelse AnalyzePostHook
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% P->(E)|literal
+%% STR index
+/AnalyzePower {
+ %% depending of first char either a number, or a literal
+ 2 copy get dup 40 eq%%an open par
+ { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop }
+ { AnalyzeLiteral }
+ ifelse
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% STR index STR[index] -> STR index
+%/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def
+/AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% recognize + or -
+%% chr -> T/F
+/IsUnaryOp { dup 43 eq exch 45 eq or } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% a number can contain only : 0123456789.
+%% chr -> T/F
+/IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% STR index -> STR index number
+%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)?
+%% STR index -> STR index' number
+/ReadNumber {
+ exch dup 3 -1 roll dup 3 1 roll
+ %%read mantissa
+ { 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop
+ dup 101 eq exch 69 eq or
+ %%% there is a "e" or "E" -> read exponant
+ { 1 add 2 copy get dup IsUnaryOp
+ { pop 1 add 2 copy get } if
+ { IsNumber not { exit } if 1 add 2 copy get } loop }
+ if
+ dup 4 1 roll
+ 3 -1 roll exch 1 index sub getinterval
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% a number can contain only : 0123456789.
+%% chr -> T/F
+/IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% STR index -> STR index number
+%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)?
+%% STR index -> STR index' number
+/ReadCondOp {
+ NextNonBlankChar 1 index 4 1 roll
+ { IsCondOp not { exit } if 1 add 2 copy get } loop
+ 2 copy 5 -1 roll
+ exch 1 index sub getinterval 3 1 roll
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% a literal can contain only : 0123456789.
+%% chr -> T/F
+/IsLiteral {%
+ dup 48 ge exch dup 57 le 3 -1 roll and exch
+ dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch
+ dup 97 ge exch 122 le and or } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)?
+%% STR index -> literal STR index' nextchr
+/ReadLiteral {
+ exch dup 3 -1 roll dup 3 1 roll
+ %%read literal core
+ { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop
+ 4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% expr is ended by end of str or a clpar
+%% STR index -> STR index STR[index] T/F
+/IsEndingExpr {%
+ 2 copy dup Strlen eq
+ %% if end of str is reached -> end !
+ { pop pop 0 true }
+ %% ending chr -> clpar, comma, |, <, >, =, !,
+ {get dup dup 41 eq
+ exch dup 124 eq
+ exch dup 93 eq
+ exch dup 44 eq
+ exch dup 30 eq
+ exch dup 60 ge exch 62 le and or or or or or}
+ ifelse } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% expr is ended by end of str or a +-
+%% STR index -> STR index STR[index] T/F
+/IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% expr is ended by end of str or */
+%% STR index -> STR index STR[index] T/F
+/IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% expr is ended by end of str or ^
+%% STR index -> STR index STR[index] T/F
+/IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% STR index -> STR index STR[index]
+/NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def
+/neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%
+%% DEBUG
+/BRK {false} def
+/BRKtrue {/BRK true def} def
+/BRKStop {BRK {BRKtoto} if } def
+/BRKEvalStop {BRK exch if } def
+/BRKBRK2true {BRK {BRK2true} if } def
+/BRK2 {false} def
+/BRK2true {/BRK2 true def} def
+/BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def
+end
+%
+%-------------------------------------------------------------------------------%
+%
+/tx@AlgToPs 12 dict def tx@AlgToPs begin
+%
+%% algExpr -> PSVector
+/AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def
+/EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def
+/InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def
+/Strlen 0 def
+/EvalListOfExpr {} def%
+/EvalNumber {%
+ ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx
+ exch 1 add array astore def NextNonBlankChar pop } def
+/EvalAddSub {%
+ /ExpressionVector ExpressionVector aload length dup 5 add -1 roll
+ 43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def
+} def
+/EvalMulDiv {%
+ /ExpressionVector ExpressionVector aload length dup 5 add -1 roll
+ 42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def
+} def
+/EvalPower {%
+ /ExpressionVector ExpressionVector aload length dup 5 add -1 roll
+ pop /exp cvx exch 1 add array astore def
+} def
+/EvalFactorial {% DR 09/2011
+ /ExpressionVector ExpressionVector aload length
+ /fact cvx exch 1 add array astore def
+} def
+/EvalLiteral {%
+ ReadLiteral
+ dup 40 eq%%% there is an open par -> function call
+ { pop 2 index
+ dup (Sum) eq { EvalSum }
+ { dup (IfTE) eq { EvalCond }
+ { dup (Derive) eq { pop EvalDerive }
+ { pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc
+ /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx
+ exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse }
+ { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def
+ dup 91 eq%%% there is an open bracket -> vector element
+ { pop 1 add NextNonBlankChar pop AnalyzeExpr
+ /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add }
+ { pop NextNonBlankChar pop }
+ ifelse}
+ ifelse
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% the derive function : Derive(n,f(x))
+%% firstparindex lastparindex ->
+/EvalDerive {
+ %% manage the function descripiton
+ 1 add ReadNumber 3 1 roll NextNonBlankChar
+ 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
+ 1 add NextNonBlankChar pop
+ 3 -1 roll cvi
+ dup 0 eq
+ { pop AnalyzeExpr 3 -1 roll pop 1 add }
+ { 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll
+ { (x) tx@Derive begin Derive end } repeat
+ ExpressionVector exch /ExpressionVector [] def
+ AlgToPs aload length
+ /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def
+ l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add
+ 1 index length /Strlen exch def } ifelse
+} def
+/EvalSum {%
+ pop 1 add NextNonBlankChar pop
+ %% read the variable name
+ ReadLiteral pop NextNonBlankChar
+ 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if
+ %% read the initial value
+ 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
+ 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
+ %% read the increment value
+ 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
+ 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
+ %% read the limit value
+ 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
+ 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
+ /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll
+ 5 -1 roll 4 add array astore def
+ %% keep ExpressionVector for later and create a new one for internal Sum computation
+ ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def
+ 1 add NextNonBlankChar pop AnalyzeExpr
+ %% add each term
+ /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def
+ /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add
+ array astore def 3 -1 roll pop 1 add
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Convert to radians if trigo function call
+%% (name) ->
+/TrigoFunc {
+ dup (cos) eq 1 index (sin) eq or exch (tan) eq or
+ { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add
+ array astore def
+ } if
+} def
+/EvalCond {%
+ pop 1 add AnalyzeCond NextNonBlankChar
+ 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if
+ ExpressionVector 3 1 roll /ExpressionVector [] def
+ 1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def
+ NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if
+ 1 add AnalyzeExpr
+ NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if
+ ExpressionVector
+ /ExpressionVector 6 -1 roll aload length dup
+ 6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def
+ 1 add 3 -1 roll pop
+} def
+%% CondOp STR index
+/EvalCondOp {%
+ 3 -1 roll
+ dup (=) eq { /eq } {%
+ dup (<) eq { /lt } {%
+ dup (>) eq { /gt } {%
+ dup (>=) eq { /ge } {%
+ dup (<=) eq { /ge } {%
+ dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator }
+ ifelse } ifelse } ifelse } ifelse } ifelse } ifelse
+ cvx exch pop
+ /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def
+/EvalUnaryOp {
+ 3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% H O O K S
+/AnalyzePreHook {} bind def
+/PreEvalHook {} bind def
+/AnalyzeListOfEPostHook {} bind def
+/AnalyzePostHook {} def
+/RollOp { 3 1 roll } bind def
+end %tx@CoreAnalyzerDict
+%
+%--------------------------------------------------------------------%
+%
+/tx@Derive 41 dict def tx@Derive begin
+%%increase ^^ for each function added
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% algExpr variable -> PSVector
+/Derive {%
+ 10240 string 3 1 roll 0 3 1 roll
+ /Variable exch def
+ tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end
+} def
+/Strlen 0 def
+/InitParser { dup length /Strlen exch def 0 } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% algExpr variable index -> PSVector
+/DeriveIndexed {%
+ 3 1 roll 10240 string 3 1 roll 0 3 1 roll
+ /Variable exch def
+ tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% (u,v)'=-(u',v')
+/EvalListOfExpr {%
+ 4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe
+ 2 copy 7 -1 roll dup length 4 1 roll putinterval add
+ 6 -2 roll pop pop
+ 2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% (-u)'=-(u')
+/EvalUnaryOp {
+ 4 -2 roll 4 index (0) eq
+ { (0) StrConcat 7 -1 roll pop }
+ { 7 -1 roll 45 eq
+ { AddSub AddOpPar true } { false } ifelse
+ 3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse
+ 2 copy pop 0 6 2 roll GetIntervalNewStr
+ 7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% (number)'=0
+/EvalNumber { ReadNumber (0) 6 2 roll } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% (u+v)'=u'+v'
+/EvalAddSub {%
+ 7 index dup (0) eq
+ { pop true }%% du=0 nothing added
+ { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false }
+ ifelse
+ 5 index dup (0) eq
+ { pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0
+ { exch
+ { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added
+ { 5 -2 roll 7 index 43 eq%%something yet added
+ { AddAdd false } { AddSub AddOpPar true } ifelse }
+ ifelse 11 1 roll
+ 3 -1 roll StrConcat 10 -1 roll { AddClPar } if
+ 2 copy pop 0 6 2 roll GetIntervalNewStr }
+ ifelse
+ mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% (u*v)' or (u/v)'
+/EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% (u*v)'=u'*v+u*v'
+/EvalMul {%
+ 4 -2 roll 7 index dup (0) eq
+ { pop false }%%du=0
+ { (1) eq%%du=1
+ { false }
+ { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse
+ 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if
+ true }%%du!=0
+ ifelse
+ 5 1 roll 5 index (0) eq
+ { 5 -1 roll not { (0) StrConcat } if }%%dv=0
+ { 5 -1 roll { AddAdd } if
+ 4 index (1) eq
+ { 8 index StrConcat }
+ { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar }
+ ifelse
+ }%%dv!=0
+ ifelse
+ 2 copy pop 0 6 2 roll GetIntervalNewStr
+ mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% (u/v)'=(u'*v-u*v')/v^2
+/EvalDiv {%
+ 4 -2 roll
+ 4 index (0) eq%%dv=0 -> u'/v
+ { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse }
+ { 7 index dup (0) eq
+ { pop }%%du=0
+ { (1) eq%%du=1
+ { false }
+ { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse
+ 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0
+ ifelse
+ AddSub
+ 4 index (1) eq
+ { 8 index StrConcat }
+ { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar }
+ ifelse
+ %}%%dv!=0
+ 2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar
+ AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add }
+ ifelse
+ 2 copy pop 0 6 2 roll GetIntervalNewStr
+ mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% str1 index str2 -> str1 index
+/StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def
+/GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u)
+/EvalPower {%
+ 4 -2 roll 7 index (0) eq
+ {%%if du=0 then (u^v)'=v'ln(u)u^v
+ 4 index (0) eq
+ { (0) StrConcat }%%if dv=0 then (u^v)'=0
+ { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if
+ 8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if
+ AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse
+ }
+ {%%du!=0
+ 4 index (0) eq
+ {%%if dv=0 then (u^v)'=vu'u^(v-1)
+ 5 index dup IsStrNumber
+ { dup (0) eq
+ { StrConcat }
+ { dup dup (1) eq exch (1.0) eq or
+ { StrConcat }
+ { StrConcat
+ 7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1
+ { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006
+ (*\() StrConcat 8 index StrConcat (\)) StrConcat
+ 5 index dup dup (2) eq exch (2.0) eq or
+ { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse }
+ { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat
+ 5 index StrConcat (-1\)) StrConcat } ifelse
+ }
+ {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u)
+ 7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if
+ AddOpPar 5 index StrConcat (\)*\() StrConcat
+ 8 index StrConcat (\)^\() StrConcat
+ 5 index StrConcat (-1\)+\() StrConcat
+ 4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if
+ 8 index StrConcat (\)^\() StrConcat
+ 5 index StrConcat (\)*ln\() StrConcat
+ 8 index StrConcat AddClPar
+ } ifelse
+ } ifelse
+ 2 copy pop 0 6 2 roll GetIntervalNewStr
+ mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% No derivative for factorial ! only cst => null derivative
+/EvalFactorial {% DR 09/2011
+ 4 index (0) eq
+ { (0) mark 8 -2 roll cleartomark 2 index 7 index dup 4 index exch sub getinterval exch 6 2 roll }
+ { DERIVATIVE_ENGINE_ERROR_no_variable_in_factorial } ifelse
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% str -> true/false
+/IsStrNumber {%
+ true exch
+ { dup 48 lt exch dup 57 gt 3 -1 roll or
+ exch dup 46 ne%%.
+ exch dup 43 ne%%+
+ exch 45 ne%%-
+ and and and { pop false } if } forall
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% literal switch -> func call, vector, variables
+/EvalLiteral {%
+ ReadLiteral dup 40 eq%%% there is an open par -> function call
+ { pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
+ { dup 91 eq%%% there is an open bracket -> vector element
+ { DERIVATIVE_ENGINE_ERROR_vector_not_yet_implemented }
+ { pop EvalVariable }
+ ifelse }
+ ifelse
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% first last parpos Expr[first:parpos-1] ->
+/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% (f(u))'=u'f'(u)
+/EvalFunc {
+ 4 2 roll 4 index (1) ne
+ { AddOpPar 4 index StrConcat (\)*) StrConcat } if
+ (Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec
+ 2 copy pop 0 6 2 roll GetIntervalNewStr
+ mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Func derivative -> Eval<func>
+/EvalFunc_sin {%
+ PreCommonFunc
+ { (cos\() StrConcat 5 index StrConcat AddClPar } if
+ PostCommonFunc } def
+/EvalFunc_cos {%
+ PreCommonFunc
+ { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
+ PostCommonFunc } def
+/EvalFunc_tan {%
+ PreCommonFunc
+ { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if
+ PostCommonFunc } def
+/EvalFunc_asin {%
+ PreCommonFunc
+ { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
+ PostCommonFunc } def
+/EvalFunc_acos {%
+ PreCommonFunc
+ { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
+ PostCommonFunc } def
+/EvalFunc_atg {%
+ PreCommonFunc
+ { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
+ PostCommonFunc } def
+/EvalFunc_ln {%
+ PreCommonFunc
+ { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if
+ PostCommonFunc } def
+/EvalFunc_exp {%
+ PreCommonFunc
+ { (exp\() StrConcat 5 index StrConcat AddClPar } if
+ PostCommonFunc } def
+/EvalFunc_EXP {%
+ PreCommonFunc
+ { (EXP\() StrConcat 5 index StrConcat AddClPar } if
+ PostCommonFunc } def
+/EvalFunc_sqrt {%
+ PreCommonFunc
+ { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
+ PostCommonFunc } def
+/EvalFunc_Fact {%
+ PreCommonFunc { DERIVATIVE_ENGINE_ERROR_no_variable_expression_in_Fact } if
+ PostCommonFunc } def
+/EvalFunc_sh {%
+ PreCommonFunc
+ { (ch\() StrConcat 5 index StrConcat AddClPar } if
+ PostCommonFunc } def
+/EvalFunc_ch {%
+ PreCommonFunc
+ { (sh\() StrConcat 5 index StrConcat AddClPar } if
+ PostCommonFunc } def
+/EvalFunc_th {%
+ PreCommonFunc
+ { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if
+ PostCommonFunc } def
+/EvalFunc_Argsh {%
+ PreCommonFunc
+ { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
+ PostCommonFunc } def
+/EvalFunc_Argch {%
+ PreCommonFunc
+ { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if
+ PostCommonFunc } def
+/EvalFunc_Argth {%
+ PreCommonFunc
+ { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
+ PostCommonFunc } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+/PreCommonFunc {
+ 1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop
+ 4 2 roll 4 index (0) eq
+ { (0) StrConcat false }
+ { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse
+} def
+/PostCommonFunc {
+ 2 copy pop 0 6 2 roll GetIntervalNewStr
+ mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
+} def
+/EvalFunc_Derive {%
+ 1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs
+ 4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add
+ 4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar
+ 2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval
+ exch 6 2 roll } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% literal switch -> func call, vector, variables
+/EvalFunc_Sum {%
+ 1 add NextNonBlankChar pop
+ %% read the variable name
+ ReadLiteral pop 3 -1 roll pop NextNonBlankChar
+ 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if
+ %% read the initial value
+ 1 add NextNonBlankChar pop ReadNumber pop
+ 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
+ %% read the increment value
+ 1 add NextNonBlankChar pop ReadNumber pop
+ 2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if
+ %% read the limit value
+ 1 add NextNonBlankChar pop ReadNumber pop
+ 2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if
+ 1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop
+ 4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat
+ 4 index StrConcat AddClPar
+ 2 copy pop 0 6 2 roll GetIntervalNewStr
+ mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% literal switch -> func call, vector, variables
+/EvalFunc_IfTE {%
+ 3 -1 roll pop 1 add NextNonBlankChar pop SkipCond
+ NextNonBlankChar
+ 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if
+ 1 add NextNonBlankChar pop dup 5 1 roll
+ AnalyzeExpr NextNonBlankChar
+ 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if
+ 1 add NextNonBlankChar pop
+ AnalyzeExpr 1 add NextNonBlankChar pop
+ 4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat
+ 6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar
+ 2 copy pop 0 6 2 roll GetIntervalNewStr
+ mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% advance in str until a comma is found (no error detection!)
+%% str index -> str index'
+/SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Convert to radians if trigo function call
+%% (name) ->
+/TrigoFunc {
+ dup (cos) eq 1 index (sin) eq or exch (tan) eq or
+ { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add
+ array astore def
+ } if
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% No derivative for condition....
+/EvalCondOp { 3 -1 roll pop } bind def
+/PutIntervalOneAdd {putinterval 1 add} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Add open parenthesis in string at the given index
+%% str index -> str index+1
+/AddOpPar {2 copy (\() PutIntervalOneAdd} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Add close parenthesis in string at the given index
+%% str index -> str index+1
+/AddClPar {2 copy (\)) PutIntervalOneAdd} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Add 0 in string at the given index
+%% str index -> str index+1
+/AddZero {2 copy (0) PutIntervalOneAdd} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Add open parenthesis in string at the given index
+%% str index -> str index+1
+/AddMul {2 copy (*) PutIntervalOneAdd} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Add open parenthesis in string at the given index
+%% str index -> str index+1
+/AddDiv {2 copy (/) PutIntervalOneAdd} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Add a plus sign in string at the given index
+%% str index -> str index+1
+/AddAdd {2 copy (+) PutIntervalOneAdd} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Add a minus sign in string at the given index
+%% str index -> str index+1
+/AddSub {2 copy (-) PutIntervalOneAdd} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Add a pipe sign in string at the given index
+%% str index -> str index+1
+/AddPipe {2 copy (|) PutIntervalOneAdd} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% H O O K S
+/AnalyzePreHook { dup 5 1 roll } bind def
+/PreEvalHook {} def
+/AnalyzePostHook { 7 -1 roll pop } bind def
+/AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def
+/RollOp { 5 1 roll } bind def
+end%%%tx@CoreAnalyzerDict
+/tx@AddMathFunc 12 dict def tx@AddMathFunc begin
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% NEW FUNC
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2))
+%% x -> theta
+/asin {%
+ dup abs 1 gt { EQDFasinrangeerror } if
+ dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad
+} def
+%% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x)
+%% x -> theta
+/acos {%
+ dup abs 1 gt { EQDFacosrangeerror } if
+ dup dup mul 1 exch sub sqrt exch atan DegtoRad
+} def
+%% function arctangent in radians
+%% x -> theta
+/atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def
+%% HYPERBOLIC FUNCTIONS
+/sh { dup Ex exch neg Ex sub 2 div } def
+/ch { dup Ex exch neg Ex add 2 div } def
+/th { dup sh exch ch div } def
+/Argsh { dup dup mul 1 add sqrt add ln } def
+/Argch { dup dup mul 1 sub sqrt add ln } def
+/Argth { dup 1 add exch 1 exch sub div ln 2 div } def
+%% modified exponential funtion for 0
+%% x n -> x^n
+/Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def
+%% modified exponential funtion for 0
+%% x -> e^x
+/Ex { Euler exch exp } bind def
+%%
+%% factorial function
+%% n -> n!
+/Fact { 1 exch 2 exch 1 exch { mul } for } bind def
+/fact { Fact } bind def
+/! { Fact } bind def
+end
+%
+% END pst-algparser.pro
+
+%%EndProcSet
+%%BeginProcSet: pst-tools.pro 0 0
+% $Id: pst-tools.pro 842 2013-10-26 10:25:41Z herbert $
+%
+%% PostScript tools prologue for pstricks.tex.
+%% Version 0.04, 2013/10/26
+%%
+%% 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.
+%
+%
+/Pi2 1.57079632679489661925640 def
+/factorial { % n on stack, returns n!
+ dup 0 eq { 1 }{
+ dup 1 gt { dup 1 sub factorial mul } if }
+ ifelse } def
+%
+/MoverN { % m n on stack, returns the binomial coefficient m over n
+ 2 dict begin
+ /n exch def /m exch def
+ n 0 eq { 1 }{
+ m n eq { 1 }{
+ m factorial n factorial m n sub factorial mul div } ifelse } ifelse
+ end
+} def
+%
+/ps@ReverseOrderOfPoints { % on stack [P1 P2 P3 ...Pn]=>[Pn,Pn-1,...,P2,P1]
+ 5 dict begin % all local
+ aload length /n ED % number of coors
+ n 2 div cvi /m ED % number of Points
+ /n1 n def
+ m { n1 2 roll /n1 n1 2 sub def } repeat
+ n array astore
+ end
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% subroutines for complex numbers, given as an array [a b]
+% which is a+bi = Real+i Imag
+%
+/cxadd { % [a1 b1] [a2 b2] = [a1+a2 b1+b2]
+ dup 0 get % [a1 b1] [a2 b2] a2
+ 3 -1 roll % [a2 b2] a2 [a1 b1]
+ dup 0 get % [a2 b2] a2 [a1 b1] a1
+ 3 -1 roll % [a2 b2] [a1 b1] a1 a2
+ add % [a2 b2] [a1 b1] a1+a2
+ 3 1 roll % a1+a2 [a2 b2] [a1 b1]
+ 1 get % a1+a2 [a2 b2] b1
+ exch 1 get % a1+a2 b1 b2
+ add 2 array astore
+} def
+%
+/cxneg { % [a b]
+ dup 1 get % [a b] b
+ exch 0 get % b a
+ neg exch neg % -a -b
+ 2 array astore
+} def
+%
+/cxsub { cxneg cxadd } def % same as negative addition
+%
+% [a1 b1][a2 b2] = [a1a2-b1b2 a1b2+b1a2] = [a3 b3]
+/cxmul { % [a1 b1] [a2 b2]
+ dup 0 get % [a1 b1] [a2 b2] a2
+ exch 1 get % [a1 b1] a2 b2
+ 3 -1 roll % a2 b2 [a1 b1]
+ dup 0 get % a2 b2 [a1 b1] a1
+ exch 1 get % a2 b2 a1 b1
+ dup % a2 b2 a1 b1 b1
+ 5 -1 roll dup % b2 a1 b1 b1 a2 a2
+ 3 1 roll mul % b2 a1 b1 a2 b1a2
+ 5 -2 roll dup % b1 a2 b1a2 b2 a1 a1
+ 3 -1 roll dup % b1 a2 b1a2 a1 a1 b2 b2
+ 3 1 roll mul % b1 a2 b1a2 a1 b2 a1b2
+ 4 -1 roll add % b1 a2 a1 b2 b3
+ 4 2 roll mul % b1 b2 b3 a1a2
+ 4 2 roll mul sub % b3 a3
+ exch 2 array astore
+} def
+%
+% [a b]^2 = [a^2-b^2 2ab] = [a2 b2]
+/cxsqr { % [a b] square root
+ dup 0 get exch 1 get % a b
+ dup dup mul % a b b^2
+ 3 -1 roll % b b^2 a
+ dup dup mul % b b^2 a a^2
+ 3 -1 roll sub % b a a2
+ 3 1 roll mul 2 mul % a2 b2
+ 2 array astore
+} def
+%
+/cxsqrt { % [a b]
+% dup cxnorm sqrt /r exch def
+% cxarg 2 div RadtoDeg dup cos r mul exch sin r mul cxmake2
+ cxlog % log[a b]
+ 2 cxrdiv % log[a b]/2
+ aload pop exch % b a
+ 2.781 exch exp % b exp(a)
+ exch cxconv exch % [Re +iIm] exp(a)
+ cxrmul %
+} def
+%
+/cxarg { % [a b]
+ aload pop % a b
+ exch atan % arctan b/a
+ DegtoRad % arg(z)=atan(b/a)
+} def
+%
+% log[a b] = [a^2-b^2 2ab] = [a2 b2]
+/cxlog { % [a b]
+ dup % [a b][a b]
+ cxnorm % [a b] |z|
+ log % [a b] log|z|
+ exch % log|z|[a b]
+ cxarg % log|z| Theta
+ cxmake2 % [log|z| Theta]
+} def
+%
+% square of magnitude of complex number
+/cxnorm2 { % [a b]
+ dup 0 get exch 1 get % a b
+ dup mul % a b^2
+ exch dup mul add % a^2+b^2
+} def
+%
+/cxnorm { % [a b]
+ cxnorm2 sqrt
+} def
+%
+/cxconj { % conjugent complex
+ dup 0 get exch 1 get % a b
+ neg 2 array astore % [a -b]
+} def
+%
+/cxre { 0 get } def % real value
+/cxim { 1 get } def % imag value
+%
+% 1/[a b] = ([a -b]/(a^2+b^2)
+/cxrecip { % [a b]
+ dup cxnorm2 exch % n2 [a b]
+ dup 0 get exch 1 get % n2 a b
+ 3 -1 roll % a b n2
+ dup % a b n2 n2
+ 4 -1 roll exch div % b n2 a/n2
+ 3 1 roll div % a/n2 b/n2
+ neg 2 array astore
+} def
+%
+/cxmake1 { 0 2 array astore } def % make a complex number, real given
+/cxmake2 { 2 array astore } def % dito, both given
+%
+/cxdiv { cxrecip cxmul } def
+%
+% multiplikation by a real number
+/cxrmul { % [a b] r
+ exch aload pop % r a b
+ 3 -1 roll dup % a b r r
+ 3 1 roll mul % a r b*r
+ 3 1 roll mul % b*r a*r
+ exch 2 array astore % [a*r b*r]
+} def
+%
+% division by a real number
+/cxrdiv { % [a b] r
+ 1 exch div % [a b] 1/r
+ cxrmul
+} def
+%
+% exp(i theta) = cos(theta)+i sin(theta) polar<->cartesian
+/cxconv { % theta
+ RadtoDeg dup sin exch cos cxmake2
+} def
+
+%%%%% ### bubblesort ###
+%% syntax : array bubblesort --> array2 trie par ordre croissant
+%% code de Bill Casselman
+%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/
+/bubblesort { % on stack must be an array [ ... ]
+4 dict begin
+ /a exch def
+ /n a length 1 sub def
+ n 0 gt {
+ % at this point only the n+1 items in the bottom of a remain to
+ % the sorted largest item in that blocks is to be moved up into
+ % position n
+ n {
+ 0 1 n 1 sub {
+ /i exch def
+ a i get a i 1 add get gt {
+ % if a[i] > a[i+1] swap a[i] and a[i+1]
+ a i 1 add
+ a i get
+ a i a i 1 add get
+ % set new a[i] = old a[i+1]
+ put
+ % set new a[i+1] = old a[i]
+ put
+ } if
+ } for
+ /n n 1 sub def
+ } repeat
+ } if
+ a % return the sorted array
+end
+} def
+%
+/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422
+ 0 1 index { length add } forall
+ string
+ 0 3 2 roll
+ { 3 copy putinterval length add }forall
+ pop
+} bind def
+%
+/dot2comma {% on stack a string (...)
+ 2 dict begin
+ /Output exch def
+ 0 1 Output length 1 sub {
+ /Index exch def
+ Output Index get 46 eq { Output Index 44 put } if
+ } for
+ Output
+ end
+} def
+%
+/rightTrim { % on stack the string and the character number to be stripped
+ /charNo exch def
+ dup
+ length 1 sub -1 0 {
+ /i exch def dup i get charNo ne { exit } if
+ } for
+ 0 i 1 add getinterval
+ dup length string copy
+} bind def % leaves the stripped string on the stack
+
+/psStringwidth /stringwidth load def
+/psShow /show load def
+
+%/stringwidth{ 32 rightTrim psStringwidth } bind def
+
+%/show { 32 rightTrim psShow } bind def
+%-----------------------------------------------------------------------------%
+
+/pgffunctions {
+ /pgfsc{}bind def% stroke color is empty by default
+ /pgffc{}bind def% fill color is empty by default
+ /pgfstr{stroke}bind def%
+ /pgffill{fill}bind def%
+ /pgfeofill{eofill}bind def%
+ /pgfe{a dup 0 rlineto exch 0 exch rlineto neg 0 rlineto closepath}bind def% rectangle
+ /pgfw{setlinewidth}bind def% setlinewidth
+ /pgfs{save pgfpd 72 Resolution div 72 VResolution div neg scale
+ magscale{1 DVImag div dup scale}if
+ pgfx neg pgfy neg translate pgffoa .setopacityalpha}bind def% save
+ /pgfr{pgfsd restore}bind def %restore
+ userdict begin%
+ /pgfo{pgfsd /pgfx currentpoint /pgfy exch def def @beginspecial}bind def %open
+ /pgfc{newpath @endspecial pgfpd}bind def %close
+ /pgfsd{globaldict /pgfdelta /delta where {pop delta} {0} ifelse put}bind def% save delta
+ /pgfpd{/delta globaldict /pgfdelta get def}bind def % put delta
+ /.setopacityalpha where {pop} {/.setopacityalpha{pop}def} ifelse % install .setopacityalpha
+ /.pgfsetfillopacityalpha{/pgffoa exch def
+ /pgffill{gsave pgffoa .setopacityalpha fill 1 .setopacityalpha newpath fill grestore newpath}bind def
+ /pgfeofill{gsave pgffoa .setopacityalpha eofill 1 .setopacityalpha newpath eofill grestore newpath}bind def}bind def
+ /.pgfsetstrokeopacityalpha{/pgfsoa exch def /pgfstr{gsave pgfsoa .setopacityalpha stroke grestore newpath}bind def}bind def
+ /pgffoa 1 def
+ /pgfsoa 1 def
+ end
+} def
+%-----------------------------------------------------------------------------%
+% END pst-tools.pro
+
+%%EndProcSet
+%%BeginProcSet: pst-dots.pro 0 0
+% $Id: pst-dots.pro 801 2013-07-09 18:10:41Z herbert $
+%
+%% PostScript prologue for pstricks.tex.
+%% Version 2.02, 2009/06/16
+%%
+%% For distribution, see pstricks.tex.
+%%
+%% Timothy Van Zandt <tvz@Princeton.EDU>
+%%
+%% 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.
+%%
+%% Modified by Etienne Riga - Dec. 16, 1999
+%% Modified by Etienne Riga - 2005/01/01 (er)
+%% to add /Diamond, /SolidDiamond and /BoldDiamond
+%% Modified by Herbert Voss (hv) - 2008/04/17
+%
+10 dict dup begin % hold local
+ /FontType 3 def
+ /FontMatrix [.001 0 0 .001 0 0] def
+% /FontBBox [-571.5 -742.5 571.5 742.5] def % changed to next line 20060616 hv
+ /FontBBox [-1000 -1000 1000 1000] def % See end of file in /BuildGlyph
+ /Encoding 256 array def
+ 0 1 255 {Encoding exch /.notdef put} for % fill the array with /.notdef
+ Encoding % replace with given dot names
+ dup (b) 0 get /Bullet put % get the numerical position of b in ASCII
+% % and save /Bullet at this place in Encoding
+ dup (c) 0 get /Circle put
+ dup (C) 0 get /BoldCircle put % 67
+ dup (u) 0 get /SolidTriangle put
+ dup (t) 0 get /Triangle put
+ dup (T) 0 get /BoldTriangle put
+ dup (r) 0 get /SolidSquare put
+ dup (s) 0 get /Square put
+ dup (S) 0 get /BoldSquare put
+ dup (q) 0 get /SolidPentagon put
+ dup (p) 0 get /Pentagon put
+ dup (P) 0 get /BoldPentagon put
+%%%
+ dup (k) 0 get /Asterisk put
+ dup (K) 0 get /BoldAsterisk put
+ dup (J) 0 get /SolidAsterisk put
+ dup (h) 0 get /Hexagon put
+ dup (H) 0 get /BoldHexagon put
+ dup (G) 0 get /SolidHexagon put
+ dup (f) 0 get /Octogon put % 2008-04-18 hv
+ dup (F) 0 get /BoldOctogon put % 2008-04-18 hv
+ dup (g) 0 get /SolidOctogon put % 2008-04-18 hv
+ dup (a) 0 get /Add put
+ dup (A) 0 get /BoldAdd put % 65
+ dup (x) 0 get /Mul put
+ dup (X) 0 get /BoldMul put
+ dup (m) 0 get /Oplus put
+ dup (M) 0 get /BOplus put
+ dup (e) 0 get /SolidOplus put
+ dup (n) 0 get /Otimes put
+ dup (N) 0 get /BOtimes put
+ dup (E) 0 get /SolidOtimes put
+ dup (i) 0 get /Bar put
+ dup (I) 0 get /BoldBar put
+ dup (l) 0 get /SolidDiamond put
+ dup (d) 0 get /Diamond put
+ (D) 0 get /BoldDiamond put
+%%%
+/CharProcs 47 dict def
+CharProcs begin
+ /CirclePath {0 0 500 0 360 arc closepath} def
+ /Bullet {CirclePath fill} def
+ /Circle {CirclePath .9 .9 scale CirclePath eofill} def
+ /BoldCircle {CirclePath .8 .8 scale CirclePath eofill} def
+ /TrianglePath {0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath} def
+ /SolidTriangle {TrianglePath fill} def
+ /Triangle {TrianglePath .85 .85 scale TrianglePath eofill} def
+ /BoldTriangle {TrianglePath .7 .7 scale TrianglePath eofill} def
+ /SquarePath {-450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto closepath} def
+ /SolidSquare {SquarePath fill} def
+ /Square {SquarePath .89 .89 scale SquarePath eofill} def
+ /BoldSquare {SquarePath .78 .78 scale SquarePath eofill} def
+ /PentagonPath {
+ -337.8 -465 moveto 337.8 -465 lineto 546.6 177.6 lineto
+ 0 574.7 lineto -546.6 177.6 lineto closepath
+ } def
+ /SolidPentagon {PentagonPath fill} def
+ /Pentagon {PentagonPath .89 .89 scale PentagonPath eofill} def
+ /BoldPentagon {PentagonPath .78 .78 scale PentagonPath eofill} def
+%-------------- hv begin 2004/07/25 from: er 2003/03/24
+ /HexagonPath {
+ 0 550 moveto -476 275 lineto -476 -275 lineto
+ 0 -550 lineto 476 -275 lineto 476 275 lineto closepath
+ } def
+ /SolidHexagon {HexagonPath fill} def
+ /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def
+ /BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def
+% 2008-04-18 hv
+ /OctogonPath {
+ 550 dup 22.5 tan mul dup neg dup add /xMove exch def
+ exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def
+ /SolidOctogon { OctogonPath fill } def
+ /Octogon { OctogonPath .89 .89 scale OctogonPath eofill } def
+ /BoldOctogon { OctogonPath .79 .79 scale OctogonPath eofill } def
+%
+ /AsteriskPath {
+ 20 0 moveto 10 250 180 500 0 500 curveto
+ -180 500 -10 250 -20 0 curveto closepath
+ } def
+ /Asterisk {
+ AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath
+ 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath fill
+ } def
+%
+ /Basterp {50 250 220 500 0 500 curveto -220 500 -50 250 -50 30 cos 100 mul curveto} def
+ /BoldAsteriskPath {
+ 50 30 cos 100 mul moveto Basterp
+ 60 rotate Basterp 60 rotate Basterp
+ 60 rotate Basterp 60 rotate Basterp
+ 60 rotate Basterp closepath
+ } def
+ /BoldAsterisk {BoldAsteriskPath fill} def
+ /SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def
+ /CrossPath {
+ 40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto
+ -550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto
+ 40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath
+ } def
+ /BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto
+ -550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto
+ 80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath
+ } def
+ /Add {CrossPath fill} def
+ /Mul {45 rotate CrossPath fill} def
+ /BoldAdd {BoldCrossPath fill} def
+ /BoldMul {45 rotate BoldCrossPath fill} def
+ /Oplus {CirclePath .9 .9 scale CirclePath eofill .775 .775 scale CrossPath fill } def
+ /SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def
+ /BOplus {CirclePath .8 .8 scale CirclePath eofill .775 .775 scale BoldCrossPath fill} def
+ /Otimes {CirclePath .9 .9 scale CirclePath eofill 45 rotate .775 .775 scale CrossPath fill} def
+ /BOtimes {CirclePath .8 .8 scale CirclePath eofill 45 rotate .775 .775 scale BoldCrossPath fill } def
+ /SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def
+ /BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto closepath} def
+ /Bar {BarPath fill} def
+ /BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto closepath} def
+ /BoldBar {BoldBarPath fill} def
+ /DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 428.5 0 lineto closepath} def
+ /SolidDiamond {DiamondPath fill} def
+ /Diamond {DiamondPath .865 .865 scale DiamondPath eofill} def
+ /BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def
+%%%
+ /.notdef { } def
+end
+%
+/BuildGlyph {
+ exch
+ begin
+% Metrics 1 index get exec 0
+ 0 0
+% BBoxes 3 index get exec
+ -1000 -1000 1000 1000
+% -571.5 -742.5 571.5 742.5
+ setcachedevice
+ CharProcs begin load exec end
+ end
+} def
+%
+/BuildChar {
+ 1 index /Encoding get exch get
+ 1 index /BuildGlyph get exec
+} bind def
+%
+end
+/PSTricksDotFont exch definefont pop
+%
+%% end
+
+%%EndProcSet
+%%BeginProcSet: pst-node.pro 0 0
+% $Id: pst-node.pro 876 2014-01-28 15:03:13Z herbert $
+%%
+%% PostScript prologue for pst-node.tex.
+%% Version 1.15, 2014/01/27.
+%%
+%% 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.
+%
+%%%% EMPTY lines are not aload!!! Problem with pst-eps -> \par
+%
+%
+tx@Dict begin % from main pstricks dict
+ /T /translate load def
+ /CP /currentpoint load def
+% /startGlobal { true setglobal globaldict begin } bind def
+% /endGlobal { end false setglobal } bind def
+end
+/tx@NodeDict 400 dict def tx@NodeDict begin
+/NewNode { % on stack: { x y } boolean N@name type InitXnode
+ gsave
+ NodeScale % a bugfix for xelatex, it's empty for dvips
+ /next exch def % { x y } boolean N@name type
+ dict dup % { x y } boolean N@name dict dict
+ 3 1 roll def % { x y } boolean dict N@name dict def
+ exch { dup 3 1 roll def } if % { x y } dict boolean
+ begin % { x y } dict begin
+ tx@Dict begin
+ STV CP T exec % set scaling
+ end
+ /NodeMtrx CM def % save CM
+ next % InitXNode
+ end
+ grestore
+} def
+%
+/InitPnode {
+ /Y ED /X ED
+ /NodePos { NodeSep Cos mul NodeSep Sin mul } def
+} def
+%
+/InitCnode {
+ /r ED /Y ED /X ED
+ /NodePos { NodeSep r add dup Cos mul exch Sin mul } def
+} def
+%
+/GetRnodePos {
+ Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def } ifelse
+ Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def } ifelse
+ dx Sin mul abs dy
+ Cos mul abs gt { dy Cos mul Sin div dy } { dx dup Sin mul Cos Div } ifelse
+} def
+%
+/InitRnode {
+ /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub /u ED
+ /NodePos { GetRnodePos } def
+} def
+%
+/DiaNodePos {
+ w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup
+ Cos mul exch Sin mul
+} def
+%
+/TriNodePos {
+ Sin s lt
+ { d NodeSep sub dup Cos mul Sin Div exch }
+ { w h mul w Sin mul h Cos abs mul add Div
+ NodeSep add dup Cos mul exch Sin mul
+ } ifelse
+} def
+%
+/InitTriNode {
+ sub 2 div exch
+ 2 div exch
+ 2 copy T
+ 2 copy 4 index index /d ED
+ pop pop pop pop
+ -90 mul rotate
+ /NodeMtrx CM def
+ /X 0 def /Y 0 def
+ d sub abs neg /d ED
+ d add /h ED
+ 2 div h mul h d sub Div /w ED
+ /s d w Atan sin def
+ /NodePos { TriNodePos } def
+} def
+%
+/OvalNodePos {
+ /ww w NodeSep add def
+ /hh h NodeSep add def
+ Sin ww mul Cos hh mul Atan dup cos ww mul exch sin hh mul
+} def
+%
+/GetCenter { begin X Y NodeMtrx transform CM itransform end } def
+%
+/XYPos {
+ dup sin exch cos Do
+ /Cos ED /Sin ED /Dist ED
+ Cos 0 gt
+ { Dist Dist Sin mul Cos div }
+ { Cos 0 lt
+ { Dist neg Dist Sin mul Cos div neg }
+ { 0 Dist Sin mul } ifelse
+ } ifelse
+ Do
+} def
+%
+/GetEdge {
+ dup 0 eq
+ { pop begin 1 0 NodeMtrx dtransform
+ CM idtransform
+ exch atan sub
+ dup
+ sin /Sin ED
+ cos /Cos ED
+ /NodeSep ED
+ NodePos NodeMtrx dtransform CM idtransform end }
+ { 1 eq {{exch}} {{}} ifelse /Do ED pop XYPos } ifelse
+} def
+%
+/AddOffset {
+ 1 index 0 eq
+ { pop pop }
+ { 2 copy 5 2 roll cos mul add 4 1 roll sin mul sub exch } ifelse
+} def
+%
+/GetEdgeA {
+ NodeSepA AngleA NodeA NodeSepTypeA GetEdge
+ OffsetA AngleA AddOffset
+ yA add /yA1 ED
+ xA add /xA1 ED
+} def
+%
+/GetEdgeB {
+ NodeSepB AngleB NodeB NodeSepTypeB GetEdge
+ OffsetB AngleB AddOffset
+ yB add /yB1 ED
+ xB add /xB1 ED
+} def
+%
+/GetArmA {
+ ArmTypeA 0 eq
+ { /xA2 ArmA AngleA cos mul xA1 add def
+ /yA2 ArmA AngleA sin mul yA1 add def }
+ { ArmTypeA 1 eq {{exch}} {{}} ifelse
+ /Do ED
+ ArmA AngleA XYPos OffsetA AngleA AddOffset
+ yA add /yA2 ED
+ xA add /xA2 ED } ifelse
+} def
+%
+/GetArmB {
+ ArmTypeB 0 eq
+ { /xB2 ArmB AngleB cos mul xB1 add def
+ /yB2 ArmB AngleB sin mul yB1 add def }
+ { ArmTypeB 1 eq {{exch}} {{}} ifelse
+ /Do ED
+ ArmB AngleB XYPos OffsetB AngleB AddOffset
+ yB add /yB2 ED
+ xB add /xB2 ED } ifelse
+} def
+%
+/InitNC {
+ /b ED /a ED % second and first node
+ /NodeSepTypeB ED /NodeSepTypeA ED
+ /NodeSepB ED /NodeSepA ED
+ /OffsetB ED /OffsetA ED
+ tx@NodeDict a known tx@NodeDict b known and dup {
+ /NodeA a load def
+ /NodeB b load def
+ NodeA GetCenter /yA ED /xA ED
+ NodeB GetCenter /yB ED /xB ED } if
+} def
+%
+/LPutLine {
+ 4 copy
+ 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED
+ 1 t sub mul
+ 3 1 roll 1 t sub mul
+ 4 1 roll t mul add /Y ED
+ t mul add /X ED
+} def
+%
+/LPutLines {
+ mark LPutVar counttomark 2 div 1 sub /n ED
+% t floor dup n gt
+ t floor dup n ge % to allow npos<= hv 2008-08-14
+ { pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse
+ cvi 2 mul { pop } repeat
+ LPutLine
+ cleartomark
+} def
+%
+/BezierMidpoint {
+ /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED /t ED
+ /cx x1 x0 sub 3 mul def
+ /cy y1 y0 sub 3 mul def
+ /bx x2 x1 sub 3 mul cx sub def
+ /by y2 y1 sub 3 mul cy sub def
+ /ax x3 x0 sub cx sub bx sub def
+ /ay y3 y0 sub cy sub by sub def
+ ax t 3 exp mul bx t t mul mul add
+ cx t mul add x0 add ay t 3 exp mul
+ by t t mul mul add cy t mul add
+ y0 add 3 ay t t mul mul mul 2
+ by t mul mul add cy add 3 ax t t mul mul mul
+ 2 bx t mul mul add cx add atan /NAngle ED
+ /Y ED /X ED
+} def
+%
+/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def
+} def
+%
+/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def
+ /NAngle yyB yyA sub xxB xxA sub Atan def
+} def
+/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def
+%
+/HPutLines { HPosBegin yB yA ge
+ { /check { le } def } { /check { ge } def } ifelse
+ /xxA xA def
+ /yyA yA def
+ mark xB yB LPutVar
+ { dup Y check { exit } { /yyA ED /xxA ED } ifelse }
+ loop
+ /yyB ED /xxB ED cleartomark HPosEnd
+} def
+%
+/VPosBegin {
+ xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def
+} def
+%
+/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def
+/NAngle yyB yyA sub xxB xxA sub Atan def } def
+/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def
+/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def
+} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check {
+exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark
+VPosEnd } def
+/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2
+roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx
+def grestore exec /LPutVar /SaveLPutVar load def
+} def
+%
+/NCCoor {
+ /AngleA yB yA sub xB xA sub Atan def
+ /AngleB AngleA 180 add def
+ GetEdgeA GetEdgeB
+ /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def
+ /LPutPos { LPutVar LPutLine } def
+ /HPutPos { LPutVar HPutLine } def
+ /VPutPos { LPutVar VPutLine } def
+ LPutVar
+} def
+%
+/NCLine {
+ NCCoor
+ tx@Dict begin
+ ArrowA CP 4 2 roll
+ ArrowB
+ lineto pop pop
+ end
+} def
+%
+/NCLines {
+ false NArray
+ n 0 eq
+ { NCLine }
+ { 2 copy yA sub exch xA sub Atan /AngleA ED
+ n 2 mul dup index exch index yB sub exch xB sub
+ Atan /AngleB ED
+ GetEdgeA GetEdgeB
+ /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 yA1 ] cvx def
+ mark LPutVar
+ tx@Dict begin false Line end
+ /LPutPos { LPutLines } def
+ /HPutPos { HPutLines } def
+ /VPutPos { VPutLines } def
+ } ifelse
+} def
+%
+/NCCurve {
+ GetEdgeA
+ GetEdgeB
+ xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1
+roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA
+GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict
+begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ]
+cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines
+} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def
+%
+/NCAngles {
+ GetEdgeA GetEdgeB GetArmA GetArmB
+ /mtrx AngleA matrix rotate def
+ xA2 yA2 mtrx transform pop
+ xB2 yB2 mtrx transform exch pop
+ mtrx itransform
+ /y0 ED /x0 ED
+ mark ArmB 0 ne { xB1 yB1 } if
+ xB2 yB2 x0 y0 xA2 yA2
+ ArmA 0 ne { xA1 yA1 } if
+ tx@Dict begin false Line end
+ /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def
+ /LPutPos { LPutLines } def
+ /HPutPos { HPutLines } def
+ /VPutPos { VPutLines } def } def
+%
+/NCAngle {
+ GetEdgeA GetEdgeB GetArmB
+ /mtrx AngleA matrix rotate def
+ xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform
+ /y0 ED /x0 ED
+ mark
+ ArmB 0 ne { xB1 yB1 } if
+ xB2 yB2 x0 y0 xA1 yA1
+ tx@Dict begin false Line end
+ /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def
+ /LPutPos { LPutLines } def
+ /HPutPos { HPutLines } def
+ /VPutPos { VPutLines } def
+} def
+%
+/NCBar {
+ GetEdgeA GetEdgeB GetArmA GetArmB
+ /mtrx AngleA matrix rotate def
+ xA2 yA2 mtrx itransform pop
+ xB2 yB2 mtrx itransform pop
+ sub dup 0 mtrx transform
+ 3 -1 roll 0 gt
+ { /yB2 exch yB2 add def /xB2 exch xB2 add def }
+ { /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse
+ mark
+ ArmB 0 ne { xB1 yB1 } if
+ xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if
+ tx@Dict begin false Line end
+ /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def
+ /LPutPos { LPutLines } def
+ /HPutPos { HPutLines } def
+ /VPutPos { VPutLines } def
+} def
+%
+/NCDiag {
+ /lineAngle ED
+ GetEdgeA GetEdgeB GetArmA GetArmB mark
+ lineAngle abs 0 gt {
+ /xTemp xA2 10 add def
+ /yTemp yA2 lineAngle dup sin exch cos div 10 mul add def
+ /dY1 yTemp yA2 sub def
+ /dX1 xTemp xA2 sub def
+ /dY2 yB2 yB1 sub def
+ /dX2 xB2 xB1 sub def
+ dX1 abs 0.01 lt {
+ /m2 dY2 dX2 div def
+ /xB2 xA2 def
+ /yB2 xA2 xB1 sub m2 mul yB1 add def
+ }{
+ dX2 abs 0.01 lt {
+ /m1 dY1 dX1 div def
+ /xB2 xB1 def
+ /yB2 xB1 xA2 sub m1 mul yA2 add def
+ }{%
+ /m1 dY1 dX1 div def
+ /m2 dY2 dX2 div def
+ /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def
+ /yB2 xB2 xA2 sub m1 mul yA2 add def
+ } ifelse
+ } ifelse
+ } if
+ ArmB 0 ne { xB1 yB1 } if
+ xB2 yB2 xA2 yA2
+ ArmA 0 ne { xA1 yA1 } if
+ tx@Dict begin false Line end
+ /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def
+ /LPutPos { LPutLines } def
+ /HPutPos { HPutLines } def
+ /VPutPos { VPutLines } def
+%
+% GetEdgeA GetEdgeB GetArmA GetArmB mark
+% ArmB 0 ne { xB1 yB1 } if
+% xB2 yB2 xA2 yA2
+% ArmA 0 ne { xA1 yA1 } if
+% tx@Dict begin false Line end
+% /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def
+% /LPutPos { LPutLines } def
+% /HPutPos { HPutLines } def
+% /VPutPos { VPutLines } def
+} def
+%
+/NCDiagg {
+ /lineAngle ED
+ GetEdgeA GetArmA
+ lineAngle abs 0 gt
+ { lineAngle }
+ { yB yA2 sub xB xA2 sub Atan 180 add } ifelse
+ /AngleB ED
+ GetEdgeB mark
+ lineAngle abs 0 gt {
+ /dY2 yA2 yA1 sub def
+ /dX2 xA2 xA1 sub def
+ lineAngle abs 90 eq {
+ /m2 dY2 dX2 div def
+ /yA2 xB xA2 sub m2 mul yA2 add def
+ /xA2 xB def
+ }{
+ /m1 lineAngle dup sin exch cos div def % tan alpha
+ dX2 abs 0.01 lt {
+ /yA2 xA1 xB sub m1 mul yB add def
+ /xA2 xA1 def
+ }{%
+ /m2 dY2 dX2 div def
+ /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def
+ /yA2 xA2 xB sub m1 mul yB add def
+ } ifelse
+ } ifelse
+ } if
+ xB1 yB1 xA2 yA2
+ ArmA 0 ne { xA1 yA1 } if
+ tx@Dict begin false Line end
+ /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def
+ /LPutPos { LPutLines } def
+ /HPutPos { HPutLines } def
+ /VPutPos { VPutLines } def
+%
+% GetEdgeA GetArmA
+% yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED
+% GetEdgeB
+% mark
+% xB1 yB1 xA2 yA2
+% ArmA 0 ne { xA1 yA1 } if
+% tx@Dict begin false Line end
+% /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def
+% /LPutPos { LPutLines } def
+% /HPutPos { HPutLines } def
+% /VPutPos { VPutLines } def
+} def
+%
+/NCLoop {
+ GetEdgeA GetEdgeB GetArmA GetArmB
+ /mtrx AngleA matrix rotate def
+ xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED
+ /xB3 xB2 yB2 mtrx transform pop def
+ xB3 yA3 mtrx itransform /yB3 ED /xB3 ED
+ xA3 yA3 mtrx itransform /yA3 ED /xA3 ED
+ mark ArmB 0 ne { xB1 yB1 } if
+ xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if
+ tx@Dict begin false Line end
+ /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] cvx def
+ /LPutPos { LPutLines } def
+ /HPutPos { HPutLines } def
+ /VPutPos { VPutLines } def
+} def
+%
+% DG/SR modification begin - May 9, 1997 - Patch 1
+%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r
+%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add
+%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360
+%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED
+%
+/NCCircle {
+ NodeSepA 0 NodeA 0 GetEdge pop
+ 2 div dup 2 exp r r mul sub abs sqrt
+ atan 2 mul /a ED
+ r AngleA 90 add PtoC yA add exch xA add
+ exch 2 copy
+ /LPutVar [ 4 2 roll r AngleA ] cvx def
+ /LPutPos {
+ LPutVar t 360 mul add dup 5 1 roll 90 sub PtoC
+ 3 -1 roll add
+ /Y ED add /X ED /NAngle ED
+% DG/SR modification end
+ } def
+ /HPutPos { LPutPos } def
+ /VPutPos { LPutPos } def
+ r AngleA 90 sub a add AngleA 270 add a sub
+ tx@Dict begin
+ /angleB ED /angleA ED /r ED
+ /c 57.2957 r Div def
+ /y ED /x ED
+} def
+%
+/NCBox {
+ /d ED /h ED
+ /AngleB yB yA sub xB xA sub Atan def
+ /AngleA AngleB 180 add def
+ GetEdgeA GetEdgeB
+ /dx d AngleB sin mul def
+ /dy d AngleB cos mul neg def
+ /hx h AngleB sin mul neg def
+ /hy h AngleB cos mul def
+ /LPutVar [
+ xA1 hx add yA1 hy add xB1 hx add yB1 hy add
+ xB1 dx add yB1 dy add xA1 dx add yA1 dy add ] cvx def
+ /LPutPos { LPutLines } def
+ /HPutPos { xB yB xA yA LPutLine } def
+ /VPutPos { HPutPos } def
+ mark
+ LPutVar tx@Dict begin false Polygon end
+} def
+%
+/NCArcBox {
+ /l ED neg /d ED /h ED /a ED
+ /AngleA yB yA sub xB xA sub Atan def
+ /AngleB AngleA 180 add def
+ /tA AngleA a sub 90 add def
+ /tB tA a 2 mul add def
+ /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def
+ /x0 xA r tA cos mul add def
+ /y0 yA r tA sin mul add def
+ /c 57.2958 r div def
+ /AngleA AngleA a sub 180 add def
+ /AngleB AngleB a add 180 add def
+ GetEdgeA GetEdgeB
+ /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul sub def
+ /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def
+ l 0 eq {
+ x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn
+ }{
+ x0 y0 translate
+ /tA AngleA l c mul add def
+ /tB AngleB l c mul sub def
+ 0 0 r h add tA tB arc r h add
+ AngleB PtoC r d add
+ AngleB PtoC 2 copy
+ 6 2 roll l arcto 4 { pop } repeat
+ r d add tB PtoC l arcto 4 { pop } repeat
+ 0 0 r d add tB tA arcn r d add
+ AngleA PtoC r h add
+ AngleA PtoC 2 copy 6 2 roll
+ l arcto 4 { pop } repeat
+ r h add tA PtoC l arcto 4 { pop } repeat
+ } ifelse
+ closepath
+ /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def
+ /LPutPos {
+ LPutVar /d ED /h ED
+ /AngleB ED /AngleA ED
+ /r ED /y0 ED /x0 ED
+ t 1 le {
+ r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC
+ }{t 2 lt {
+ /NAngle AngleB 180 add def r 2 t sub
+ h mul t 1 sub d mul add add AngleB PtoC
+ }{
+ t 3 lt {
+ r d add AngleB 3 t sub mul AngleA 2 t sub
+ mul add dup 90 sub /NAngle ED PtoC
+ }{
+ /NAngle AngleA 180 add def
+ r 4 t sub d mul t 3 sub h mul add add AngleA PtoC
+ } ifelse
+ } ifelse
+ } ifelse
+ y0 add /Y ED x0 add /X ED
+ } def
+ /HPutPos { LPutPos } def
+ /VPutPos { LPutPos } def
+} def
+%
+/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB
+sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1
+ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB
+w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos
+{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
+{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
+def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
+/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
+%
+/LPutCoor {
+ NAngle
+ tx@Dict begin /NAngle ED end
+ gsave
+ CM STV
+ CP Y sub neg exch X sub neg exch moveto
+ setmatrix CP
+ grestore
+} def
+%
+/LPut {
+ tx@NodeDict /LPutPos known
+ { LPutPos } { CP /Y ED /X ED /NAngle 0 def } ifelse
+ LPutCoor
+} def
+%
+/HPutAdjust {
+ Sin Cos mul 0 eq
+ { 0 }
+ { d Cos mul Sin div flag not { neg } if
+ h Cos mul Sin div flag { neg } if
+ 2 copy gt { pop } { exch pop } ifelse
+ } ifelse
+ s add flag { r add neg }{ l add } ifelse
+ X add /X ED
+} def
+%
+/VPutAdjust {
+ Sin Cos mul
+ 0 eq
+ { 0 }
+ { l Sin mul Cos div flag { neg } if
+ r Sin mul Cos div flag not { neg } if
+ 2 copy gt { pop } { exch pop } ifelse
+ } ifelse
+ s add flag { d add } { h add neg } ifelse
+ Y add /Y ED
+} def
+%
+%
+end
+%
+% END pst-node.pro
+
+%%EndProcSet
+%%BeginProcSet: pst-eucl.pro 0 0
+%!
+% PostScript prologue for pst-eucl.tex.
+% Version 1.00 2011/08/04
+% For distribution, see pstricks.tex.
+%
+/tx@EcldDict 40 dict def tx@EcldDict begin
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Pi
+/Pi 3.14159265359 def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% e
+/E 2.718281828459045 def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% x -> true (if |x| < 1E-6)
+/ZeroEq { abs 1E-6 lt } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% x1 y1 x2 y2 -> a b c (ax-by+c=0 with a^2+b^2=1)
+/EqDr {
+ 4 copy 3 -1 roll sub 7 1 roll exch sub 5 1 roll 4 -1 roll
+ mul 3 1 roll mul exch sub
+ 2 index dup mul 2 index dup mul add sqrt
+ 4 -1 roll 1 index div exch
+ 4 -1 roll 1 index div exch
+ 4 -1 roll 1 index div exch pop
+} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% orthogonal projection of M1 onto (OM2)
+%% x1 y1 x2 y2 -> x3 y3
+/Project {
+ 2 copy dup mul exch dup mul add 5 1 roll 2 copy 5 -1 roll mul exch
+ 5 -1 roll mul add 4 -1 roll div dup 4 -1 roll mul exch 3 -1 roll mul
+} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% a b c (ax2+bx+c=0) -> x1 y1
+/SolvTrin {
+ /c exch def /b exch def /a exch def
+ b dup mul a c mul 4 mul sub dup 0 lt
+ { pop 0 0 } %% no solutions
+ {sqrt dup b neg add a 2 mul div exch b add neg 2 a mul div }
+ ifelse } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% x1 y1 x2 y2 -> Dist
+/ABDist { 3 -1 roll sub dup mul 3 1 roll sub dup mul add sqrt } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% x1 y1 x2 y2 -> x1-x2 y1-y2
+/ABVect { 3 -1 roll exch sub 3 1 roll sub exch } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% x1 y1 x2 y2 x3 y3 x4 y4 -> x y
+/InterLines {
+ EqDr /D1c exch def /D1b exch def /D1a exch def
+ EqDr /D2c exch def /D2b exch def /D2a exch def
+ D1a D2b mul D1b D2a mul sub dup ZeroEq
+% { pop pop pop 0 0 } %% parallel lines % --- hv 20110714
+ { pop 0 0 } %% parallel lines --- hv 20110714
+ {
+ /Det exch def
+ D1b D2c mul D1c D2b mul sub Det div
+ D1a D2c mul D2a D1c mul sub Det div
+ } ifelse } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% a b c R -> x1 y1 x2 y2
+/InterLineCircle {
+ /CR exch def /Dc exch def neg /Db exch def /Da exch def
+ ABVect /Vy exch def /Vx exch def
+ %% Dc==0 then O belong to the line
+ %% First project O on the line -> M (-ca;-cb)
+ %% l'abscisse de M sur (OM) divisée par R donne le cosinus
+ %Dc neg dup Db mul exch Da mul 2 copy 0 0
+ %ABDist dup CR gt { pop pop pop 0 0 0 0 }
+ %{ ZeroEq { pop pop Db Da } if Atan /alpha exch def
+ Dc abs CR gt { 0 0 0 0 }
+ { Db neg Da neg Atan /alpha exch def
+ Dc CR div dup dup mul 1 exch sub sqrt exch Atan /beta exch def
+ alpha beta add dup cos CR mul exch sin CR mul
+ alpha beta sub dup cos CR mul exch sin CR mul
+ 4 copy ABVect Vy mul 0 le exch Vx mul 0 le and
+ { 4 2 roll } if } ifelse
+ } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% R R' OO' -> x1 y1 x2 y2
+/InterCircles {
+ /OOP exch def /CRP exch def /CR exch def
+ OOP dup mul CRP dup mul sub CR dup mul add OOP div 2 div
+ dup dup mul CR dup mul exch sub dup
+ 0 lt { pop pop 0 0 0 0 } { sqrt 2 copy neg } ifelse
+} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% x y theta -> x' y' (rotation of theta)
+/Rotate {
+ dup sin /sintheta exch def cos /costheta exch def /y exch def /x exch def
+ x costheta mul y sintheta mul sub
+ y costheta mul x sintheta mul add
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% N -> x y
+/GetNode {
+ tx@NodeDict begin
+ tx@NodeDict 1 index known { load GetCenter } { pop 0 0 } ifelse
+ end
+} bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% x -> ch(x)
+/ch { dup Ex exch neg Ex add 2 div } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% x -> sh(x)
+/sh { dup Ex exch neg Ex sub 2 div } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% x -> e^(x)
+/Ex { E exch exp } bind def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% x f g -> x y n
+/NewtonSolving {
+ /g exch def /f exch def 0
+ { %%% STACK: x0 n
+ 1 add exch %% one more loop
+ dup ZeroEq
+ { dup 0.0005 add fgeval
+ 1 index 0.0005 sub fgeval sub .001 div }
+ { dup 1.0005 mul fgeval
+ 1 index 0.9995 mul fgeval sub .001 2 index mul div } ifelse %%% STACK: n x0 fg'(x0)
+ %%% compute x1=x0-fg(x0)/fg'(x0)
+ 1 index fgeval exch div dup 4 1 roll sub exch %% stack: dx x0 n
+ 3 -1 roll ZeroEq %% exit if root found
+ 1 index 100 eq or { exit } if %% or looping for more than 100 times
+ } loop
+ dup 100 lt { exch dup /x exch def f } { pop 0 0 } ifelse
+ 3 -1 roll
+} def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+/fgeval { /x exch def f g sub } bind def
+end
+% END ps-euclide.pro
+
+%%EndProcSet
+%%BeginProcSet: pst-solides3d.pro 0 0
+%!
+% PostScript prologue for pst-solides3d.tex.
+% Version 4.22, 2012/12/18
+%
+%% COPYRIGHT 2009-2013 by Jean-Paul Vignault
+%% opacity changes by Herbert Voss
+%%
+%% 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.
+%
+/SolidesDict 100 dict def
+/SolidesbisDict 100 dict def
+SolidesDict begin
+
+%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %% les variables globales gerees par PSTricks %%
+%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %% les lignes dessous sont a decommenter si l on veut utiliser le
+%% %% fichier solides.pro independamment du package PSTricks
+%% /Dobs 20 def
+%% /THETA 20 def
+%% /PHI 50 def
+%% /Decran 30 def
+%% /XpointVue {Dobs Cos1Cos2 mul} def
+%% /YpointVue {Dobs Sin1Cos2 mul} def
+%% /ZpointVue {Dobs Sin2 mul} def
+%% /xunit 28.14 def
+%% /solidhollow false def
+%% /solidbiface false def
+%% /xunit 28.45 def
+%% /tracelignedeniveau? true def
+%% /hauteurlignedeniveau 1 def
+%% /couleurlignedeniveau {rouge} def
+%% /linewidthlignedeniveau 4 def
+%% /solidgrid true def
+/aretescachees true def
+/defaultsolidmode 2 def
+%
+/Stroke { strokeopacity .setopacityalpha stroke } def
+/Fill { fillopacity .setopacityalpha fill } def
+%
+%% variables globales specifiques a PSTricks
+%% /activationgestioncouleurs true def
+/xmin -10 def
+/xmax 10 def
+/ymin -10 def
+/ymax 10 def
+
+/fillstyle {} def
+/startest false def
+/cm {} def
+/cm_1 {} def
+/yunit {xunit} def
+/angle_repere 90 def
+
+/hadjust 2.5 def
+/vadjust 2.5 def
+/pl@n-en-cours false def
+
+/pointilles { [6.25 3.75] 1.25 setdash } def
+/stockcurrentcpath {} def
+/newarrowpath {} def
+/chaine 15 string def
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% choix d une fonte accentuee pour le .ps %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+/ReEncode { exch findfont
+dup length dict begin { 1 index /FID eq {pop pop} {def} ifelse
+}forall /Encoding ISOLatin1Encoding def currentdict end definefont
+pop }bind def
+/Font /Times-Roman /ISOfont ReEncode /ISOfont def
+%Font findfont 10 scalefont setfont
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% extrait de color.pro pour pouvoir recuperer ses couleurs %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+/GreenYellow{0.15 0 0.69 0 setcmykcolor}def
+/Yellow{0 0 1 0 setcmykcolor}def
+/Goldenrod{0 0.10 0.84 0 setcmykcolor}def
+/Dandelion{0 0.29 0.84 0 setcmykcolor}def
+/Apricotq{0 0.32 0.52 0 setcmykcolor}def
+/Peach{0 0.50 0.70 0 setcmykcolor}def
+/Melon{0 0.46 0.50 0 setcmykcolor}def
+/YellowOrange{0 0.42 1 0 setcmykcolor}def
+/Orange{0 0.61 0.87 0 setcmykcolor}def
+/BurntOrange{0 0.51 1 0 setcmykcolor}def
+/Bittersweet{0 0.75 1 0.24 setcmykcolor}def
+/RedOrange{0 0.77 0.87 0 setcmykcolor}def
+/Mahogany{0 0.85 0.87 0.35 setcmykcolor}def
+/Maroon{0 0.87 0.68 0.32 setcmykcolor}def
+/BrickRed{0 0.89 0.94 0.28 setcmykcolor}def
+/Red{0 1 1 0 setcmykcolor}def
+/OrangeRed{0 1 0.50 0 setcmykcolor}def
+/RubineRed{0 1 0.13 0 setcmykcolor}def
+/WildStrawberry{0 0.96 0.39 0 setcmykcolor}def
+/Salmon{0 0.53 0.38 0 setcmykcolor}def
+/CarnationPink{0 0.63 0 0 setcmykcolor}def
+/Magenta{0 1 0 0 setcmykcolor}def
+/VioletRed{0 0.81 0 0 setcmykcolor}def
+/Rhodamine{0 0.82 0 0 setcmykcolor}def
+/Mulberry{0.34 0.90 0 0.02 setcmykcolor}def
+/RedViolet{0.07 0.90 0 0.34 setcmykcolor}def
+/Fuchsia{0.47 0.91 0 0.08 setcmykcolor}def
+/Lavender{0 0.48 0 0 setcmykcolor}def
+/Thistle{0.12 0.59 0 0 setcmykcolor}def
+/Orchid{0.32 0.64 0 0 setcmykcolor}def
+/DarkOrchid{0.40 0.80 0.20 0 setcmykcolor}def
+/Purple{0.45 0.86 0 0 setcmykcolor}def
+/Plum{0.50 1 0 0 setcmykcolor}def
+/Violet{0.79 0.88 0 0 setcmykcolor}def
+/RoyalPurple{0.75 0.90 0 0 setcmykcolor}def
+/BlueViolet{0.86 0.91 0 0.04 setcmykcolor}def
+/Periwinkle{0.57 0.55 0 0 setcmykcolor}def
+/CadetBlue{0.62 0.57 0.23 0 setcmykcolor}def
+/CornflowerBlue{0.65 0.13 0 0 setcmykcolor}def
+/MidnightBlue{0.98 0.13 0 0.43 setcmykcolor}def
+/NavyBlue{0.94 0.54 0 0 setcmykcolor}def
+/RoyalBlue{1 0.50 0 0 setcmykcolor}def
+/Blue{1 1 0 0 setcmykcolor}def
+/Cerulean{0.94 0.11 0 0 setcmykcolor}def
+/Cyan{1 0 0 0 setcmykcolor}def
+/ProcessBlue{0.96 0 0 0 setcmykcolor}def
+/SkyBlue{0.62 0 0.12 0 setcmykcolor}def
+/Turquoise{0.85 0 0.20 0 setcmykcolor}def
+/TealBlue{0.86 0 0.34 0.02 setcmykcolor}def
+/Aquamarine{0.82 0 0.30 0 setcmykcolor}def
+/BlueGreen{0.85 0 0.33 0 setcmykcolor}def
+/Emerald{1 0 0.50 0 setcmykcolor}def
+/JungleGreen{0.99 0 0.52 0 setcmykcolor}def
+/SeaGreen{0.69 0 0.50 0 setcmykcolor}def
+/Green{1 0 1 0 setcmykcolor}def
+/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}def
+/PineGreen{0.92 0 0.59 0.25 setcmykcolor}def
+/LimeGreen{0.50 0 1 0 setcmykcolor}def
+/YellowGreen{0.44 0 0.74 0 setcmykcolor}def
+/SpringGreen{0.26 0 0.76 0 setcmykcolor}def
+/OliveGreen{0.64 0 0.95 0.40 setcmykcolor}def
+/RawSienna{0 0.72 1 0.45 setcmykcolor}def
+/Sepia{0 0.83 1 0.70 setcmykcolor}def
+/Brown{0 0.81 1 0.60 setcmykcolor}def
+/Tan{0.14 0.42 0.56 0 setcmykcolor}def
+/Gray{0 0 0 0.50 setcmykcolor}def
+/Black{0 0 0 1 setcmykcolor}def
+/White{0 0 0 0 setcmykcolor}def
+%% fin de l extrait color.pro
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% autres couleurs %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+/bleu {0 0 1 setrgbcolor} def
+/rouge {1 0 0 setrgbcolor} def
+/vert {0 .5 0 setrgbcolor} def
+/gris {.4 .4 .4 setrgbcolor} def
+/jaune {1 1 0 setrgbcolor} def
+/noir {0 0 0 setrgbcolor} def
+/blanc {1 1 1 setrgbcolor} def
+/orange {1 .65 0 setrgbcolor} def
+/rose {1 .01 .58 setrgbcolor} def
+/cyan {1 0 0 0 setcmykcolor} def
+/magenta {0 1 0 0 setcmykcolor} def
+
+/blue /bleu load def
+/red /rouge load def
+/green /vert load def
+/gray /gris load def
+/yellow /jaune load def
+/black /noir load def
+/white /blanc load def
+%/orange {1 .65 0 setrgbcolor} def
+/pink /rose load def
+%/cyan {1 0 0 0 setcmykcolor} def
+%/magenta {0 1 0 0 setcmykcolor} def
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% definition du point de vue %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% pour la 3D conventionnelle
+%% Dony : graphisme scientifique : page 187
+%% Editeur : Masson
+
+%% calcul des coefficients de la matrice
+%% de transformation
+/Sin1 {THETA sin} def
+/Sin2 {PHI sin} def
+/Cos1 {THETA cos} def
+/Cos2 {PHI cos} def
+/Cos1Sin2 {Cos1 Sin2 mul} def
+/Sin1Sin2 {Sin1 Sin2 mul} def
+/Cos1Cos2 {Cos1 Cos2 mul} def
+/Sin1Cos2 {Sin1 Cos2 mul} def
+
+/3dto2d {
+6 dict begin
+ /Zcote exch def
+ /Yordonnee exch def
+ /Xabscisse exch def
+ /xObservateur
+ Xabscisse Sin1 mul neg Yordonnee Cos1 mul add
+ def
+ /yObservateur
+ Xabscisse Cos1Sin2 mul neg Yordonnee Sin1Sin2 mul sub Zcote Cos2
+ mul add
+ def
+ /zObservateur
+ Xabscisse neg Cos1Cos2 mul Yordonnee Sin1Cos2 mul sub Zcote Sin2
+ mul sub Dobs add
+ def
+ %% maintenant on depose les resultats sur la pile
+ Decran xObservateur mul zObservateur div cm
+ Decran yObservateur mul zObservateur div cm
+end
+} def
+
+/getpointVue {
+ XpointVue
+ YpointVue
+ ZpointVue
+} def
+
+/GetCamPos {
+ getpointVue
+} def
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% jps modifie pour PSTricks %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+/solid {continu} def
+/dashed {pointilles} def
+/dotted { [2] 0 setdash } def
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% geometrie basique %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%% syntaxe~: [x1 y1 ... xn yn] ligne
+/ligne {
+gsave
+ newpath
+ dup 0 getp smoveto
+ ligne_
+ starfill
+ Stroke
+grestore
+} def
+
+%% syntaxe~: [x1 y1 ... xn yn] ligne_
+/ligne_ {
+ reversep
+ aload length 2 idiv
+ {
+ slineto
+ } repeat
+} def
+
+%% syntaxe~: [x1 y1 ... xn yn] polygone
+/polygone* {
+1 dict begin
+ /startest {true} def
+ polygone
+end
+} def
+
+/polygone_ {
+ newpath
+ aload length 2 idiv
+ 3 copy pop
+ smoveto
+ {
+ slineto
+ } repeat
+ closepath
+} def
+
+/polygone {
+ gsave
+ polygone_
+ starfill
+ currentlinewidth 0 eq {} { Stroke } ifelse
+ grestore
+} def
+
+%% syntaxe : x y point
+/point {
+gsave
+ 1 setlinecap
+ newpath
+ smoveto
+ 0 0 rlineto
+ R setlinewidth
+ Stroke
+grestore
+} def
+
+/point_ {
+ 1 setlinecap
+ 5 setlinewidth
+ smoveto
+ 0 0 rlineto
+} def
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% %%%%
+%%%% insertion librairie jps %%%%
+%%%% %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% le repere jps %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### AAAopacity ###
+
+%% les parametres pour la gestion de la transparence
+
+/setstrokeopacity { /strokeopacity exch def } def
+/setfillopacity { /fillopacity exch def } def
+
+%% d apres un code de Jean-Michel Sarlat
+%% http://melusine.eu.org/syracuse/swf/pdf2swf/setdash/
+%% Mise en reserve de la procedure stroke originelle.
+/sysstroke {systemdict /stroke get exec} def
+/sysfill {systemdict /fill get exec} def
+/sysatan {systemdict /atan get exec} def
+/atan {2 copy 0 0 eqp {pop pop 0} {sysatan} ifelse} def
+% Mise en place de la nouvelle procedure
+/Stroke { /strokeopacity where { /strokeopacity get }{ 1 } ifelse
+ .setopacityalpha sysstroke
+} def
+/Fill { /fillopacity where { /fillopacity get }{ 1 } ifelse
+ .setopacityalpha sysfill
+} def
+
+%%%%% ### AAAscale ###
+%%%%%%%%%%%%%%%% les deplacements a l echelle %%%%%%%%%%%%%%%%%%%
+
+ /v@ct_I {xunit 0} def
+ /v@ct_J {angle_repere cos yunit mul angle_repere sin yunit mul} def
+
+/xscale {} def
+/yscale {} def
+
+/xscale-1 {} def
+/yscale-1 {} def
+
+/gtransform {} def
+/gtransform-1 {} def
+
+/jtoppoint {
+2 dict begin
+ gtransform
+ /y exch yscale def
+ /x exch xscale def
+ v@ct_I x mulv
+ v@ct_J y mulv
+ addv
+end
+} def
+
+/rptojpoint {
+ xtranslate ytranslate
+ 3 1 roll %% xA yB yA xB
+ 4 1 roll %% xB xA yB yA
+ sub neg 3 1 roll %% yB-yA xB xA
+ sub neg exch
+ ptojpoint
+} def
+
+/rptoppoint {
+ xtranslate ytranslate
+ 3 1 roll %% xA yB yA xB
+ 4 1 roll %% xB xA yB yA
+ sub neg 3 1 roll %% yB-yA xB xA
+ sub neg exch
+} def
+
+/ptojpoint {
+4 dict begin
+ /Y exch yscale-1 def
+ /X exch xscale-1 def
+ /y Y yunit angle_repere sin mul div def
+ /x X y yunit mul angle_repere cos mul sub xunit div def
+ x y
+ gtransform-1
+end
+} def
+
+/smoveto {
+ jtoppoint
+ moveto
+} def
+
+/srmoveto {
+ jtoppoint
+ rmoveto
+} def
+
+/slineto {
+ jtoppoint
+ lineto
+} def
+
+/srlineto {
+ jtoppoint
+ rlineto
+} def
+
+/stranslate {
+ jtoppoint
+ translate
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% methodes numeriques %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### solve2nddegre ###
+%% syntaxe : a b c solve2nddegre --> x1 x2
+/solve2nddegre {
+5 dict begin
+ /@c exch def
+ /@b exch def
+ /@a exch def
+ /delt@ @b dup mul 4 @a mul @c mul sub def
+ @b neg delt@ sqrt sub 2 @a mul div
+ @b neg delt@ sqrt add 2 @a mul div
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% la 2D %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% points %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### tripointangle ###
+%% syntaxe : A B C tripointangle --> angle ABC
+/tripointangle {
+9 dict begin
+ /yC exch def
+ /xC exch def
+ /yB exch def
+ /xB exch def
+ /yA exch def
+ /xA exch def
+ /A {xA yA} def
+ /B {xB yB} def
+ /C {xC yC} def
+ B C angle
+ B A angle
+ sub
+end
+} def
+
+%%%%% ### angle ###
+%% syntaxe : A B angle
+%% --> num, l'angle defini par le vecteur AB dans le repere orthonorme jps
+/angle {
+ vecteur exch atan
+ dup 180 gt
+ {360 sub}
+ if
+} def
+
+%% syntaxe : A B pangle
+%% --> num, l'angle defini par le vecteur AB dans le repere postscript
+/pangle {
+ jtoppoint exchp jtoppoint exchp vecteur exch atan
+ dup 180 gt
+ {360 sub}
+ if
+} def
+
+%%%%% ### setxrange ###
+/setxrange {
+ /xmax exch def
+ /xmin exch def
+} def
+
+%%%%% ### setyrange ###
+/setyrange {
+ /ymax exch def
+ /ymin exch def
+} def
+
+%%%%% ### defpoint ###
+%% syntaxe : xA yA /A defpoint
+/defpoint {
+1 dict begin
+ /t@mp@r@ire exch def
+ [ 3 1 roll ] cvx t@mp@r@ire exch
+end def
+} def
+
+%%%%% ### milieu ###
+%% syntaxe~: A B milieu
+/milieu {
+ %% xA yA xB yB
+ 3 -1 roll %% xA xB yB yA
+ add 2 div %% xA xB yM
+ 3 1 roll %% yM xA xB
+ add 2 div %% yM xM
+ exch
+} def
+
+%%%%% ### parallelopoint ###
+%% syntaxe : A B C parallelopoint --> point D, tel que ABCD parallelogramme
+/parallelopoint {
+11 dict begin
+ /yC exch def
+ /xC exch def
+ /yB exch def
+ /xB exch def
+ /yA exch def
+ /xA exch def
+ /A {xA yA} def
+ /B {xB yB} def
+ /C {xC yC} def
+ /d1 {A B C paral} def
+ /d2 {B C A paral} def
+ d1 d2 interdroite
+end
+} def
+
+%%%%% ### translatepoint ###
+%% syntaxe : A u translatepoint --> B image de A par la translation de vecteur u
+/translatepoint {
+ addv
+} def
+
+%%%%% ### rotatepoint ###
+%% syntaxe : B A r rotatepoint --> C image de B par la rotation de centre A,
+%% d'angle r (en degre)
+%% En prenant les affixes des pts associes, il vient
+%% (zC - zA) = (zB-zA) e^(ir)
+%% soit
+%% zC = (zB-zA) e^(ir) + zA
+/rotatepoint { %% B, A, r
+ 5 copy %% B, A, r, B, A, r
+ cos 5 1 roll %% B, A, r, cos r, B, A
+ 4 1 roll %% B, A, r, cos r, yA, B, xA
+ 4 1 roll %% B, A, r, cos r, A, B
+ vecteur %% B, A, r, cos r, xB-xA, yB-yA
+ 4 -1 roll sin %% B, A, cos r, xB-xA, yB-yA, sin r
+ 4 copy mul %% B, A, cos r, xB-xA, yB-yA, sin r, cos r, xB-xA, (yB-yA) sin r
+ 7 1 roll mul %% B, A, (yB-yA) sin r, cos r, xB-xA, yB-yA, sin r, cos r (xB-xA)
+ 5 1 roll %% B, A, (yB-yA) sin r, cos r (xB-xA), cos r, xB-xA, yB-yA, sin r
+ exch %% B, A, (yB-yA) sin r, cos r (xB-xA), cos r, xB-xA, sin r, yB-yA
+ 4 -1 roll mul %% B, A, (yB-yA) sin r, cos r (xB-xA), xB-xA, sin r, (yB-yA)cos r
+ 3 1 roll mul %% B, A, (yB-yA) sin r, cos r (xB-xA), (yB-yA) cos r, (xB-xA) sin r
+ add %% B, A, (yB-yA) sin r, cos r (xB-xA), (yB-yA) cos r +(xB-xA) sin r
+ 3 1 roll %% B, A, (yB-yA) cos r + (xB-xA) sin r, (yB-yA) sin r, cos r (xB-xA),
+ exch sub %% B, A, (yB-yA) cos r + (xB-xA) sin r, cos r (xB-xA)-(yB-yA) sin r
+ exch %% B, zA, (zB-zA) e^(ir)
+ addv
+ 3 -1 roll pop
+ 3 -1 roll pop
+} def
+
+%%%%% ### hompoint ###
+%% syntaxe : B A alpha hompoint -> le point A' tel que AA' = alpha AB
+/hompoint {
+ 5 copy
+ pop
+ vecteur %% vecteur BA
+ 3 -1 roll
+ neg
+ mulv %% alpha x vecteur AB
+ addv
+ 4 -1 roll
+ 4 -1 roll
+ pop pop
+} def
+
+%%%%% ### orthoproj ###
+%% syntaxe : A D orthoproj --> B, le projete orthogonal de A sur D
+/orthoproj {
+ 6 -1 roll
+ 6 -1 roll %% D A
+ 6 copy %% D A D A
+ 7 -1 roll pop
+ 7 -1 roll pop %% D D A
+ perp
+ interdroite
+} def
+
+%% syntaxe : A projx --> le projete orthogonal de A sur Ox
+/projx {
+ pop 0
+} def
+
+%% syntaxe : A projy --> le projete orthogonal de A sur Oy
+/projy {
+ exch pop 0 exch
+} def
+
+%%%%% ### sympoint ###
+%% syntaxe : A I sympoint --> point A', le symetrique de A par rapport
+%% au point I
+/sympoint {
+ 4 copy
+ pop pop
+ vecteur
+ -2 mulv
+ addv
+} def
+
+%%%%% ### axesympoint ###
+%% syntaxe : A D axesympoint --> point B, le symetrique de A par rapport
+%% a la droite D
+/axesympoint {
+2 dict begin
+ 6 copy
+ pop pop pop pop
+ /yA exch def
+ /xA exch def
+ orthoproj
+ xA yA vecteur
+ -2 mulv
+ xA yA addv
+end
+} def
+
+%%%%% ### cpoint ###
+%% syntaxe : alpha C cpoint -> M, le point du cercle C correspondant a
+%% l'angle alpha
+/cpoint { %% a, xI, yI, r
+1 dict begin
+ dup %% a, xI, yI, r, r
+ 5 -1 roll %% xI, yI, r, r, a
+ /alpha exch def
+ alpha cos mul %% xI, yI, r, r cos a
+ exch
+ alpha sin mul %% xI, yI, r cos a, r sin a
+ 3 -1 roll add %% xI, r cos a, yI + r sin a
+ 3 1 roll %% yI + r sin a, xI, r cos a,
+ add exch %% xI + r cos a, yI + r sin a
+end
+} def
+
+%%%%% ### xdpoint ###
+%% x A B xdpoint : le point de la droite (AB) d'abscisse x
+/xdpoint {
+5 dict begin
+ /pt2 defpoint
+ /pt1 defpoint
+ /x exch def
+ /a pt1 pt2 coeffdir def
+ /b pt1 pt2 ordorig def
+ x dup a mul b add
+end
+} def
+
+%%%%% ### ydpoint ###
+%% y A B ydpoint : le point de la droite (AB) d'ordonnee y
+/ydpoint {
+5 dict begin
+ /pt2 defpoint
+ /pt1 defpoint
+ /y exch def
+ pt1 pt2 verticale?
+ {
+ pt1 pop y
+ }
+ {
+ /a pt1 pt2 coeffdir def
+ /b pt1 pt2 ordorig def
+ y b sub a div y
+ }
+ ifelse
+end
+} def
+
+%%%%% ### ordonnepoints ###
+%% syntaxe : xA yA xB yB ordonnepoints --> idem si yB>yA ou si yB=yA
+%% avec xB>xA, sinon xB yB xA yA
+/ordonnepoints {
+ 4 copy
+ exch pop %% ... xA, yA, yB
+ lt %% yA < yB ?
+ {pop} %% oui, c'est fini
+ { %% non : yA >= yB
+ pop 4 copy
+ exch pop %% ... xA, yA, yB
+ eq %% yA = yB ?
+ {
+ 3 copy %% oui, yA = yB
+ pop pop %% ... xA, xB
+ le %% xA =< xB ?
+ {} %% oui, c'est fini
+ { %% non, on echange A et B
+ 4 -1 roll
+ 4 -1 roll
+ }
+ ifelse
+ }
+ { %% non : yA < yB => on echange A et B
+ pop
+ 4 -1 roll
+ 4 -1 roll
+ }
+ ifelse
+ }
+ ifelse
+} def
+
+%%%%% ### distance ###
+%% syntaxe~: A B distance
+/distance { %% xA yA xB yB
+ vecteur %% x y
+ dup mul exch %% y^2 x
+ dup mul %% y^2 x^2
+ add
+ sqrt
+} def
+
+%%%%% ### dup ###
+/dupp {2 copy} def
+/dupc {3 copy} def
+/dupd {4 copy} def
+
+%%%%% ### fin insertion ###
+/interdroites {interdroite} def
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% vecteurs %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### vecteur ###
+%% syntaxe~: A B vecteur
+/vecteur {
+ %% xA yA xB yB
+ 3 -1 roll %% xA xB yB yA
+ sub %% xA xB yB-yA
+ 3 1 roll %% yB-yA xA xB
+ exch sub %% yB-yA xB-xA
+ exch
+} def
+
+%%%%% ### normalize ###
+%% syntaxe : u normalize -> u / ||u||
+/normalize {
+2 dict begin
+ /u defpoint
+ /n u norme def
+ u 1 n div mulv
+end
+} def
+
+%%%%% ### addv ###
+%% syntaxe : u v addv --> u+v
+/addv { %% xA yA xB yB
+ 3 1 roll %% xA yB yA xB
+ 4 1 roll %% xB xA yB yA
+ add 3 1 roll %% yB+yA xB xA
+ add exch
+} def
+
+%%%%% ### subv ###
+%% syntaxe : u v subv --> u - v
+/subv { %% xA yA xB yB
+ -1 mulv
+ addv
+} def
+
+%%%%% ### mulv ###
+%% syntaxe : u a mulv --> au
+/mulv { %% xA, yA, a
+ dup %% xA, yA, a, a
+ 3 1 roll %% xA, a, yA, a
+ mul 3 1 roll %% ayA, xA, a
+ mul exch
+} def
+
+%%%%% ### scalprod ###
+%% syntaxe : u v scalprod --> le produit scalaire de u par v
+/scalprod {
+2 dict begin
+ /y' exch def
+ exch
+ /y exch def
+ mul y y' mul add
+end
+} def
+
+%%%%% ### normal ###
+%% syntaxe : u normal --> v tel u.v = 0
+/normal {
+ neg exch
+} def
+
+%%%%% ### norme ###
+%% syntaxe : u norme --> |u|
+/norme {
+ dup mul
+ exch
+ dup mul
+ add sqrt
+} def
+
+%%%%% ### oldarrow ###
+%% syntaxe : A B oldarrow --> trace fleche en B, direction AB
+/oldarrow {
+4 dict begin
+gsave
+ /B defpoint
+ /A defpoint
+ oldarrowscale scale
+ oldarrowangle rotate
+ newpath
+ B smoveto
+ A B vecteur normalize /u defpoint
+ u neg exch /v defpoint
+ u oldarrowpointe neg mulv rmoveto %% ainsi c'est la pointe qui est en (0, 0)
+ %% le pt extremal arriere haut
+ u oldarrowplume neg mulv %% l'abscisse
+ v oldarrow@ngle sin oldarrow@ngle cos div oldarrowplume mul mulv addv %% l'ordonnee
+ rlineto
+ u oldarrowplume oldarrowpointe add mulv
+ v oldarrow@ngle sin oldarrow@ngle cos div oldarrowplume mul neg mulv addv
+ rlineto
+ u oldarrowplume oldarrowpointe add neg mulv
+ v oldarrow@ngle sin oldarrow@ngle cos div oldarrowplume mul neg mulv addv
+ rlineto
+ closepath Fill
+grestore
+end
+} def
+
+/oldarrowpointe {xunit 5 div} def
+/oldarrowplume {xunit 10 div} def
+/oldarrow@ngle 45 def
+/oldarrowscale {1 1} def
+/oldarrowangle 0 def %% pour l'utilisateur
+
+%%%%% ### drawvecteur ###
+%% syntaxe : A B drawvecteur
+/drawvecteur {
+2 dict begin
+ /B defpoint
+ /A defpoint
+ [A B] ligne
+ A B oldarrow
+end
+} def
+
+%%%%% ### orthovecteur ###
+%% syntaxe : u orthovecteur --> v, vecteur orthogonal a u
+/orthovecteur {
+ neg exch
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% cercles %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### defcercle ###
+%% syntaxe : A r /d defcercle
+/defcercle {
+1 dict begin
+ /t@mp@r@ire exch def
+ [ 4 1 roll ] cvx t@mp@r@ire exch
+end def
+} def
+
+%%%%% ### interdroitecercle ###
+%% intersection de la droite y = ax+b avec le cercle (x-x0)^2 + (y-y0)^2 = r^2
+%% { -- b - y 2 2 3
+%% { | x = - -----, y = (b + a x0 + a y0 + (2 a b y0 - 2 a b x0 +
+%% { -- a
+%%
+%% 3 2 2 2 2 4 2 2 2 4 2 2
+%% 2 a x0 y0 - a b + a r + a r - a y0 - a x0 )^(1/2)) / (a + 1)
+%%
+%%
+%% --
+%% |,
+%% --
+%% -- b - y 2 2 3
+%% | x = - -----, y = (b + a x0 + a y0 - (2 a b y0 - 2 a b x0 +
+%% -- a
+%%
+%% 3 2 2 2 2 4 2 2 2 4 2 2
+%% 2 a x0 y0 - a b + a r + a r - a y0 - a x0 )^(1/2)) / (a + 1)
+%%
+%% -- }
+%% | }
+%% -- }
+
+%% intersection de la droite x = a avec le cercle (x-x0)^2 + (y-y0)^2 = r^2
+%% 2 2 2 1/2
+%% {[x = a, y = y0 + (2 a x0 - a + r - x0 ) ],
+%%
+%% 2 2 2 1/2
+%% [x = a, y = y0 - (2 a x0 - a + r - x0 ) ]}
+
+%% intersection de la droite y = b avec le cercle (x-x0)^2 + (y-y0)^2 = r^2
+%% 2 2 2 1/2
+%% {[y = b, x = x0 + (2 b y0 - b + r - y0 ) ],
+%%
+%% 2 2 2 1/2
+%% [y = b, x = x0 - (2 b y0 - b + r - y0 ) ]}
+
+%% syntaxe : D I r interdroitecercle
+/interdroitecercle {
+16 dict begin
+ /r exch def
+ /y0 exch def
+ /x0 exch def
+ /yB exch def
+ /xB exch def
+ /yA exch def
+ /xA exch def
+
+ xA yA xB yB verticale?
+
+ %% la droite est verticale
+ {
+ /xpt1 xA def
+ /xpt2 xA def
+ /quantite
+ 2 xA mul x0 mul xA dup mul sub r dup mul add x0 dup mul sub sqrt
+ def
+ /ypt1
+ y0 quantite add
+ def
+ /ypt2
+ y0 quantite sub
+ def
+ }
+
+ %% la droite n'est pas verticale
+ {
+ /a xA yA xB yB coeffdir def
+ /b xA yA xB yB ordorig def
+
+ 0 a eq
+ %% la droite est horizontale
+ {
+ /quantite
+ 2 b mul y0 mul
+ b dup mul sub
+ r dup mul add
+ y0 dup mul sub
+ sqrt
+ def
+ /xpt1
+ x0 quantite add
+ def
+ /xpt2
+ x0 quantite sub
+ def
+ /ypt1 b def
+ /ypt2 b def
+ }
+
+ %% la droite n'est pas horizontale
+ {
+ /quantite1
+ b
+ a x0 mul add
+ a dup mul y0 mul add
+ def
+ /quantite2
+ 2 a dup mul mul b mul y0 mul
+ 2 a 3 exp mul b mul x0 mul sub
+ 2 a 3 exp mul x0 mul y0 mul add
+ a dup mul b dup mul mul sub
+ a dup mul r dup mul mul add
+ a 4 exp r dup mul mul add
+ a dup mul y0 dup mul mul sub
+ a 4 exp x0 dup mul mul sub
+ sqrt
+ def
+ /quantite3
+ a dup mul 1 add
+ def
+ /ypt1
+ quantite1 quantite2 add quantite3 div
+ def
+ /xpt1
+ ypt1 b sub a div
+ def
+ /ypt2
+ quantite1 quantite2 sub quantite3 div
+ def
+ /xpt2
+ ypt2 b sub a div
+ def
+ }
+ ifelse
+ }
+ ifelse
+
+ xpt1 ypt1
+ xpt2 ypt2
+ ordonnepoints
+end
+} def
+
+%%%%% ### intercercle ###
+%% syntaxe : cerc1 cerc2 intercercle --> A B les points d'intersection
+%% des 2 cercles, tries par 'ordonnepoints'
+/intercercle {
+12 dict begin
+ /r2 exch def
+ /y2 exch def
+ /x2 exch def
+ /r1 exch def
+ /y1 exch def
+ /x1 exch def
+
+ %% on translate pour se ramener a (x1, y1) = (0, 0)
+ x2 y2 x1 y1 subv
+ /y2 exch def
+ /x2 exch def
+
+ %% on prepare l'equation du 2nd degre
+
+%% 2 2 2
+%% {y = RootOf((4 x2 + 4 y2 ) _Z
+%%
+%% 3 2 2 2 4
+%% + (-4 y2 - 4 r1~ y2 + 4 y2 r2~ - 4 x2 y2) _Z + x2
+%%
+%% 4 2 2 2 2 2 2 2 2
+%% + r2~ - 2 y2 r2~ + 2 x2 y2 - 2 x2 r2~ - 2 r1~ x2
+%%
+%% 4 4 2 2 2 2
+%% + r1~ + y2 + 2 r1~ y2 - 2 r1~ r2~ ), x = 1/2 (-2 y2
+%%
+%% 2 2 2
+%% RootOf((4 x2 + 4 y2 ) _Z
+%%
+%% 3 2 2 2 4
+%% + (-4 y2 - 4 r1~ y2 + 4 y2 r2~ - 4 x2 y2) _Z + x2
+%%
+%% 4 2 2 2 2 2 2 2 2
+%% + r2~ - 2 y2 r2~ + 2 x2 y2 - 2 x2 r2~ - 2 r1~ x2
+%%
+%% 4 4 2 2 2 2 2 2 2
+%% + r1~ + y2 + 2 r1~ y2 - 2 r1~ r2~ ) + r1~ + x2 + y2
+%%
+%% 2
+%% - r2~ )/x2}
+
+ %% coeff pour le degre 2
+ /a
+ %% 2 2 2
+ %% {y = RootOf((4 x2 + 4 y2 ) _Z
+ 4 x2 dup mul mul
+ 4 y2 dup mul mul add
+ def
+
+ %% coeff pour le degre 1
+ %%
+ /b
+ %% 3 2 2 2
+ %% + (-4 y2 - 4 r1~ y2 + 4 y2 r2~ - 4 x2 y2) _Z
+ -4 y2 3 exp mul
+ 4 r1 dup mul mul y2 mul sub
+ 4 r2 dup mul mul y2 mul add
+ 4 x2 dup mul mul y2 mul sub
+ def
+
+ %% coeff pour le degre 0
+ %%
+ /c {
+ %% 4
+ %% + x2
+ x2 4 exp
+ %%
+ %% 4 2 2 2 2 2 2 2 2
+ %% + r2~ - 2 y2 r2~ + 2 x2 y2 - 2 x2 r2~ - 2 r1~ x2
+ r2 4 exp add
+ 2 y2 dup mul mul r2 dup mul mul sub
+ 2 x2 dup mul mul y2 dup mul mul add
+ 2 x2 dup mul mul r2 dup mul mul sub
+ 2 x2 dup mul mul r1 dup mul mul sub
+ %%
+ %% 4 4 2 2 2 2
+ %% + r1~ + y2 + 2 r1~ y2 - 2 r1~ r2~ )
+ r1 4 exp add
+ y2 4 exp add
+ 2 r1 dup mul mul y2 dup mul mul add
+ 2 r1 dup mul mul r2 dup mul mul sub
+ } def
+
+ a b c solve2nddegre
+ /Y1 exch def
+ /Y0 exch def
+
+ /X0
+ %% x = 1/2 (-2 y2 Y
+ -2 y2 mul Y0 mul
+ %%
+ %% 2 2 2
+ %% + r1~ + x2 + y2
+ r1 dup mul add
+ x2 dup mul add
+ y2 dup mul add
+ %%
+ %% 2
+ %% - r2~ )/x2}
+ r2 dup mul sub
+
+ 2 x2 mul div
+ def
+
+ /X1
+ %% x = 1/2 (-2 y2 Y
+ -2 y2 mul Y1 mul
+ %%
+ %% 2 2 2
+ %% + r1~ + x2 + y2
+ r1 dup mul add
+ x2 dup mul add
+ y2 dup mul add
+ %%
+ %% 2
+ %% - r2~ )/x2}
+ r2 dup mul sub
+
+ 2 x2 mul div
+ def
+
+ %% on depose le resultat, en n'oubliant pas de retranslater en sens
+ %% inverse
+
+ X0 Y0 x1 y1 addv
+ X1 Y1 x1 y1 addv
+ ordonnepoints
+end
+} def
+
+%%%%% ### ABcercle ###
+%% syntaxe : A B C ABcercle --> le cercle passant par A, B, C
+/ABcercle {
+3 dict begin
+ /@3 defpoint
+ /@2 defpoint
+ /@1 defpoint
+ @1 @2 mediatrice
+ @1 @3 mediatrice
+ interdroite
+ dupp
+ @3 distance
+end
+} def
+
+%%%%% ### diamcercle ###
+%% syntaxe : A B diamcercle --> le cercle de diametre [AB]
+/diamcercle {
+ 4 copy
+ distance 2 div
+ 5 1 roll
+ milieu
+ 3 -1 roll
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% droites %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### horizontale ###
+%% syntaxe : y horizontale
+/horizontale {
+1 dict begin
+ /y exch def
+ xmin y xmax y
+end
+} def
+
+%%%%% ### coeffdir ###
+%% syntaxe~: A B coeffdir
+/coeffdir {
+ vecteur exch div
+} def
+
+%%%%% ### ordorig ###
+%% syntaxe : A B ordorig
+%% attention, la droite est supposee ne pas etre verticale
+/ordorig {
+ /dr@ite 4 array def
+ dr@ite 3 3 -1 roll put
+ dr@ite 2 3 -1 roll put
+ dr@ite 1 3 -1 roll put
+ dr@ite 0 3 -1 roll put
+ dr@ite aload pop coeffdir /c@eff exch def
+ dr@ite aload pop pop pop %% xA yA
+ exch %% yA xA
+ c@eff mul neg add
+} def
+
+%%%%% ### verticale ###
+%% syntaxe~: A B verticale?
+/verticale? {
+ pop 2 1 roll pop
+ eq
+} def
+
+%% syntaxe : x verticale
+/verticale {
+1 dict begin
+ /x exch def
+ x ymin x ymax
+end
+} def
+
+%%%%% ### droite ###
+%% %% syntaxe : A B droite
+%% /droite {
+%% gsave
+%% 6 dict begin
+%% /yB exch def
+%% /xB exch def
+%% /yA exch def
+%% /xA exch def
+%% xA yA xB yB
+%% eqp
+%% {}
+%% {
+%% xA yA xB yB
+%% verticale?
+%% {
+%% newpath
+%% xA ymin smoveto
+%% xA ymax slineto
+%% stockcurrentcpath
+%% stroke
+%% }
+%% {
+%% newpath
+%% /alpha xA yA xB yB coeffdir def
+%% /beta xA yA xB yB ordorig def
+%% xmin dup alpha mul beta add smoveto
+%% xmax dup alpha mul beta add slineto
+%% stockcurrentcpath
+%% stroke
+%% }
+%% ifelse
+%% }
+%% ifelse
+%% end
+%% grestore
+%% } def
+
+%% syntaxe : A B droite
+/droite {
+gsave
+6 dict begin
+ /B defpoint
+ /A defpoint
+ A pop B pop eq {
+ %% droite verticale
+ newpath
+ A pop ymin smoveto
+ A pop ymax slineto
+ stockcurrentcpath
+ Stroke
+ } {
+ %% on cherche le point le + a gauche
+ xmin A B xdpoint /C defpoint
+ C exch pop ymin lt {
+ %% trop a gauche
+ ymin A B ydpoint /C defpoint
+ } if
+ C exch pop ymax gt {
+ %% trop a gauche
+ ymax A B ydpoint /C defpoint
+ } if
+ %% on cherche le point le + a droite
+ xmax A B xdpoint /D defpoint
+ D exch pop ymin lt {
+ %% trop a droite
+ ymin A B ydpoint /D defpoint
+ } if
+ D exch pop ymax gt {
+ %% trop a gauche
+ ymax A B ydpoint /D defpoint
+ } if
+ newpath
+ C smoveto
+ D slineto
+ stockcurrentcpath
+ Stroke
+ } ifelse
+end
+grestore
+} def
+
+%%%%% ### defdroite ###
+%% syntaxe : A B /d defdroite
+/defdroite {
+1 dict begin
+ /t@mp@r@ire exch def
+ [ 5 1 roll ] cvx t@mp@r@ire exch
+end def
+} def
+
+%%%%% ### paral ###
+%% syntaxe : D A paral --> droite parallele a D passant par A
+/paral {
+4 dict begin
+ /yA exch def
+ /xA exch def
+ vecteur
+ /u2 exch def
+ /u1 exch def
+ xA yA
+ 2 copy
+ u1 u2 translatepoint
+end
+} def
+
+%%%%% ### interdroite ###
+/interdroite {
+ %% A B C D
+ /dr@ite2 4 array def
+ dr@ite2 3 3 -1 roll put
+ dr@ite2 2 3 -1 roll put
+ dr@ite2 1 3 -1 roll put
+ dr@ite2 0 3 -1 roll put
+ /dr@ite1 4 array def
+ dr@ite1 3 3 -1 roll put
+ dr@ite1 2 3 -1 roll put
+ dr@ite1 1 3 -1 roll put
+ dr@ite1 0 3 -1 roll put
+
+%%% %% trace pour deboguage
+%%% dr@ite1 aload pop droite
+%%% dr@ite2 aload pop droite
+
+%%% Dans tous les cas, on suppose que l'intersection existe
+%%%
+%%% * la 1ere droite est verticale. les equations reduites sont
+%%% x = a1 et y = a2 x + b2
+%%% Le point d'intersection est :
+%%% {{x = a1, y = b2 + a1 a2}}
+%%%
+%%% * la 2eme droite est verticale. les equations reduites sont
+%%% x = a1 x+ b1 et x = a2
+%%% Le point d'intersection est :
+%%% {{x = a2, y = b1 + a1 a2}}
+%%%
+%%% * aucune n'est verticale. Les equations reduites sont
+%%% y = a1 x + b1 et y = a2 x + b2
+%%% Le point d'intersection est :
+%%% { { b2 - b1 a1 b2 - a2 b1 } }
+%%% { { x = -------, y = ------------- } }
+%%% { { a1 - a2 a1 - a2 } }
+
+%%% remarque : pour le moment, je n'arrive pas a rendre mes variables
+%%% locales : elle restent globales. Pour que cela ne soit pas trop
+%%% genant, je les note respectivement @1, @@1, @2 et @@2 au lieu de a1,
+%%% b1, a2 et b2.
+
+ dr@ite1 aload pop verticale?
+ {
+ /@1 {dr@ite1 aload pop pop pop pop} def
+ /@2 {dr@ite2 aload pop coeffdir} def
+ /@@2 {dr@ite2 aload pop ordorig} def
+ @1
+ @1 @2 mul @@2 add
+ }
+ {
+ dr@ite2 aload pop verticale?
+ {
+ /@1 {dr@ite1 aload pop coeffdir} def
+ /@@1 {dr@ite1 aload pop ordorig} def
+ /@2 {dr@ite2 aload pop pop pop pop} def
+ @2
+ @1 @2 mul @@1 add
+ }
+ {
+ /@1 {dr@ite1 aload pop coeffdir} def
+ /@@1 {dr@ite1 aload pop ordorig} def
+ /@2 {dr@ite2 aload pop coeffdir} def
+ /@@2 {dr@ite2 aload pop ordorig} def
+ @@2 @@1 sub @1 @2 sub div
+ @1 @@2 mul @2 @@1 mul sub
+ @1 @2 sub div
+ }
+ ifelse
+ }
+ ifelse
+} def
+
+%%%%% ### perp ###
+%% syntaxe : D A perp --> droite perpendiculaire a D passant par A
+/perp {
+4 dict begin
+ /yA exch def
+ /xA exch def
+ vecteur orthovecteur
+ /u2 exch def
+ /u1 exch def
+ xA yA
+ 2 copy
+ u1 u2 translatepoint
+end
+} def
+
+%%%%% ### mediatrice ###
+%% synaxe : A B mediatrice --> droite
+/mediatrice {
+ 4 copy
+ milieu
+ perp
+} def
+
+%%%%% ### bissectrice ###
+%% syntaxe : A B C bissectrice --> B E ou E est un point de la bissectrice
+/bissectrice {
+10 dict begin
+ /yC exch def
+ /xC exch def
+ /yB exch def
+ /xB exch def
+ /yA exch def
+ /xA exch def
+ /A {xA yA} def
+ /B {xB yB} def
+ /C {xC yC} def
+ /alpha {A B C tripointangle} def
+ B
+ A B alpha rotatepoint
+ A milieu
+end
+} def
+
+%%%%% ### angledroit ###
+ /widthangledroit 5 def
+
+%% syntaxe : A B C angledroit --> dessine un angle droit en B
+/angledroit {
+10 dict begin
+ dup xcheck {
+ /widthangledroit exch def
+ } if
+ /C defpoint
+ /B defpoint
+ /A defpoint
+ B C vecteur normalize widthangledroit 20 div mulv /u defpoint
+ B A vecteur normalize widthangledroit 20 div mulv /v defpoint
+ [B u addv dupp v addv B v addv] ligne
+end
+} def
+
+%%%%% ### translatedroite ###
+%% syntaxe : A B u translatedroite --> C D images resp de A et B par la translation de vecteur u
+/translatedroite { %% A B u
+ 2 copy %% A B u u
+ 6 1 roll
+ 6 1 roll %% A u B u
+ addv %% A u D
+ 6 1 roll
+ 6 1 roll %% D A u
+ addv
+ 4 1 roll
+ 4 1 roll
+} def
+
+%%%%% ### rotatedroite ###
+%% syntaxe : A B O r rotatedroite --> C D images resp de A et B par la
+%% rotation de centre O et d'angle r (en degre)
+/rotatedroite {
+ 5 copy rotatepoint %% A B O r D
+ 6 -1 roll pop %% A xB O r D
+ 6 -1 roll pop %% A O r D
+ 7 1 roll
+ 7 1 roll rotatepoint %% D C
+ 4 1 roll 4 1 roll
+} def
+
+/rotatevecteur {
+ rotatedroite
+} def
+
+/rotatesegment {
+ rotatedroite
+} def
+
+%%%%% ### axesymdroite ###
+%% syntaxe : d D axesymdroite --> droite d', symetrique de la droite d par rapport
+%% a la droite D
+/axesymdroite {
+2 dict begin
+ /D defdroite
+ /B defpoint
+ D axesympoint
+ B D axesympoint
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% polygones %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### poltransformfile ###
+%% syntaxe : pol u translatepol --> pol'
+/translatepol {
+2 dict begin
+ /uy exch def
+ /ux exch def
+ {ux uy translatepoint} papply
+end
+} def
+
+%% syntaxe : pol u rotatepol --> pol'
+/rotatepol {
+2 dict begin
+ /alpha exch def
+ /I defpoint
+ {I alpha rotatepoint} papply
+end
+} def
+
+%% syntaxe : pol I alpha hompol --> pol'
+/hompol {
+2 dict begin
+ /alpha exch def
+ /I defpoint
+ {I alpha hompoint} papply
+end
+} def
+
+%% syntaxe : pol I sympol --> pol'
+/sympol {
+1 dict begin
+ /I defpoint
+ {I sympoint} papply
+end
+} def
+
+%% syntaxe : pol D axesympol --> pol'
+/axesympol {
+1 dict begin
+ /D defdroite
+ {D axesympoint} papply
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% les tests %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### isbool ###
+%% syntaxe : any isbool --> booleen
+/isbool {
+ type (booleantype) cvn eq
+} def
+
+%%%%% ### isarray ###
+%% syntaxe : any isarray --> booleen
+/isarray {
+ type (arraytype) cvn eq
+} def
+
+%%%%% ### isstring ###
+%% syntaxe : any isstring --> booleen
+/isstring {
+ type (stringtype) cvn eq
+} def
+
+%%%%% ### isinteger ###
+%% syntaxe : any isinteger --> booleen
+/isinteger {
+ type (integertype) cvn eq
+} def
+
+%%%%% ### isnum ###
+%% syntaxe : any isnum --> booleen
+/isnum {
+ dup isreal
+ exch isinteger or
+} def
+
+%%%%% ### isreal ###
+%% syntaxe : any isreal --> booleen
+/isreal {
+ type (realtype) cvn eq
+} def
+
+%%%%% ### eq ###
+%% syntaxe : A B eqp3d --> booleen = true si les points A et B sont identiques
+/eqp3d {
+ %% x1 y1 z1 x2 y2 z2
+ 4 -1 roll %% x1 y1 x2 y2 z2 z1
+ eq { %% x1 y1 x2 y2
+ eqp
+ } {
+ pop pop pop pop false
+ } ifelse
+} def
+
+%% syntaxe : A B eqp --> booleen = true si les points A et B sont identiques
+/eqp {
+ 3 -1 roll
+ eq
+ {
+ eq
+ {true}
+ {false}
+ ifelse
+ }
+ {pop pop false}
+ ifelse
+} def
+
+%% syntaxe : z z' eqc --> true si z = z', false sinon
+/eqc {
+ eqp
+} def
+
+%%%%% ### eqstring ###
+/eqstring {
+3 dict begin
+ /str2 exch def
+ /str1 exch def
+ str1 length str2 length eq {
+ /i 0 def
+ true
+ str1 length {
+ str1 i get str2 i get eq and
+ /i i 1 add store
+ } repeat
+ } {
+ false
+ } ifelse
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% conversions de types %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### astr2str ###
+%% syntaxe : array str astr2str --> str
+%% convertit le contenu de array en chaines de caracteres puis les
+%% concatene avec str, en inserant un caractere "space" apres chaque
+%% element du tableau array
+/astr2str {
+5 dict begin
+ /str exch def
+ /table exch def
+ /n table length def
+ n 0 eq {
+ str
+ } {
+ table 0 n 1 sub getinterval
+ table n 1 sub get ( ) cvs
+ ( ) append
+ str append
+ astr2str
+ } ifelse
+end
+} def
+
+%%%%% ### numstr2array ###
+%% syntaxe : str str2num --> num
+/str2num {
+5 dict begin
+ /str exch def
+ /n str length def
+ /signnum 1 def
+ /frct false def
+ /k 0 def
+ 0 1 n 1 sub {
+ /i exch def
+ str i get
+ dup 46 eq {
+ %% il y a un point
+ /frct true def
+ pop
+ i 0 eq {
+ 0
+ } if
+ } {
+ dup 45 eq {
+ /signnum -1 def
+ pop
+ } {
+ frct not {
+ i 1 ge signnum 0 ge and i 2 ge or {
+ exch 10 mul 48 sub add
+ } {
+ 48 sub
+ } ifelse
+ } {
+ 48 sub
+ /k k 1 add store
+ 10 k exp div add
+ } ifelse
+ } ifelse
+ } ifelse
+ } for
+ signnum mul
+end
+} def
+
+/str2num {cvx exec} def
+
+%% syntaxe : str numstr2array -> array
+%% ou str est une chaine de nombres reels separes par des espaces
+%% et array est constitue des elements numeriques de string.
+%% exemple :
+%% (0 -12 .234 54) --> [0 -12 0.234 54]
+/numstr2array {
+6 dict begin
+ /str exch def
+ /n str length def
+ /separateurs [] def
+ [
+ 0 1 n 1 sub {
+ /i exch def
+ str i get
+ 32 eq {
+ /separateurs [separateurs aload pop i] def
+ } if
+ } for
+ /j 0 def
+ /oldsep 0 def
+ 0 1 separateurs length 1 sub {
+ /i exch def
+ str j separateurs i get oldsep sub getinterval str2num
+ /j separateurs i get 1 add def
+ /oldsep separateurs i get 1 add def
+ } for
+ str j n oldsep sub getinterval str2num
+ ]
+end
+} def
+
+%% syntaxe : array numstr2array -> array
+/arraynumstr2arrayarray {
+ {numstr2array} apply
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% macros de projection %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### projtext ###
+%% syntaxe : str x0 y0 z0 [normal_vect] ultextp3d --> -
+%% syntaxe : str x0 y0 z0 [normal_vect] bool ultextp3d --> -
+%% syntaxe : str x0 y0 plantype ultextp3d --> -
+%% syntaxe : str x0 y0 plantype bool ultextp3d --> -
+%% syntaxe : str1 solid i str2 ultextp3d --> -
+%% syntaxe : str1 solid i str2 bool ultextp3d --> -
+%% syntaxe : str1 solid i alpha str2 bool ultextp3d --> -
+ /initpr@jtext {
+5 dict begin
+ dup isbool {
+ /mybool exch def
+ } {
+ /mybool true def
+ } ifelse
+ dup isplan {
+ /type_plan_proj true def
+ /lepl@n exch def
+ lepl@n plangetbase aload pop
+ /@V defpoint3d
+ /@U defpoint3d
+ lepl@n plangetorigine
+ /z0 exch def
+ /y0 exch def
+ /x0 exch def
+ /table [@U @U @V vectprod3d] def
+ } {
+ dup isarray {
+ %% c est un planprojpath
+ /type_plan_proj true def
+ /table exch def
+ /z0 exch def
+ /y0 exch def
+ /x0 exch def
+ 0 0
+ } {
+ %% c est un solidprojpath
+ /type_plan_proj false def
+ %% y a-t-il un str2
+ dup isstring {
+ /str2 exch def
+ } {
+ /str2 {} def
+ } ifelse
+ %% y a-t-il un alpha
+ 2 copy pop issolid {
+ /alpha 0 def
+ } {
+ /alpha exch def
+ } ifelse
+ /i exch def
+ /solid exch def
+ 0 0
+ } ifelse
+ } ifelse
+} def
+ /closepr@jtext {
+ type_plan_proj {
+ x0 y0 z0 table mybool projpath
+ } {
+ solid i alpha str2 mybool projpath
+ } ifelse
+ Fill
+ Stroke
+end
+} def
+
+%% syntaxe : str x0 y0 z0 [normal_vect] ultextp3d --> -
+%% syntaxe : str x0 y0 z0 [normal_vect] bool ultextp3d --> -
+%% syntaxe : str1 solid i str2 ultextp3d --> -
+%% syntaxe : str1 solid i str2 bool ultextp3d --> -
+%% syntaxe : str1 solid i alpha str2 bool ultextp3d --> -
+/ultextp3d {initpr@jtext ultext_ closepr@jtext} def
+/cltextp3d {initpr@jtext cltext_ closepr@jtext} def
+/bltextp3d {initpr@jtext bltext_ closepr@jtext} def
+/dltextp3d {initpr@jtext dltext_ closepr@jtext} def
+/ubtextp3d {initpr@jtext ubtext_ closepr@jtext} def
+/cbtextp3d {initpr@jtext cbtext_ closepr@jtext} def
+/bbtextp3d {initpr@jtext bbtext_ closepr@jtext} def
+/dbtextp3d {initpr@jtext dbtext_ closepr@jtext} def
+/uctextp3d {initpr@jtext uctext_ closepr@jtext} def
+/cctextp3d {initpr@jtext cctext_ closepr@jtext} def
+/bctextp3d {initpr@jtext bctext_ closepr@jtext} def
+/dctextp3d {initpr@jtext dctext_ closepr@jtext} def
+/urtextp3d {initpr@jtext urtext_ closepr@jtext} def
+/crtextp3d {initpr@jtext crtext_ closepr@jtext} def
+/brtextp3d {initpr@jtext brtext_ closepr@jtext} def
+/drtextp3d {initpr@jtext drtext_ closepr@jtext} def
+
+%%%%% ### currentppathtransform ###
+%% syntaxe : {f} currentppathtransform --> applique la transformation f
+%% au chemin courant
+/currentppathtransform {
+6 dict begin
+ /warp exch def
+ %% pour remplacer 'move'
+ /warpmove{
+ 2 index {
+ newpath
+ } if
+ warp moveto
+ pop false
+ } def
+
+ %% pour remplacer 'lineto'
+ /warpline {
+ warp lineto
+ } bind def
+
+ %% pour remplacer 'curveto'
+ /warpcurve {
+ 6 2 roll warp
+ 6 2 roll warp
+ 6 2 roll warp
+ curveto
+ } bind def
+
+ true
+ { warpmove } { warpline } { warpcurve } { closepath } pathforall
+ pop
+end
+} def
+
+%% syntaxe : {f} currentpathtransform --> applique la transformation f
+%% au chemin courant
+/currentpathtransform {
+7 dict begin
+ /transform exch def
+ /warp {ptojpoint transform} def
+ %% pour remplacer 'move'
+ /warpmove{
+ 2 index {
+ newpath
+ } if
+ warp smoveto
+ pop false
+ } def
+
+ %% pour remplacer 'lineto'
+ /warpline {
+ warp slineto
+ } bind def
+
+ %% pour remplacer 'curveto'
+ /warpcurve {
+ 6 2 roll warp
+ 6 2 roll warp
+ 6 2 roll warp
+ scurveto
+ } bind def
+
+ true
+ { warpmove } { warpline } { warpcurve } { closepath } pathforall
+ pop
+end
+} def
+
+%%%%% ### normalvect_to_orthobase ###
+%% syntaxe : [normal_vect] normalvect_to_orthobase
+%% --> imI imJ imK
+/normalvect_to_orthobase {
+4 dict begin
+ dup length 3 eq {
+ aload pop normalize3d /normal_vect defpoint3d
+ normal_vect -1 0 0 eqp3d {
+ /imageI {0 -1 0} def
+ /imageK {-1 0 0} def
+ /imageJ {0 0 1} def
+ } {
+ %% on calcule l image de la base (I,J,K)
+ /imageJ {normal_vect 1 0 0 vectprod3d normalize3d} def
+ /imageK {normal_vect} def
+ /imageI {imageJ imageK vectprod3d} def
+ 1 0 0 imageK angle3d 0 eq {
+ 0 1 0 normal_vect vectprod3d /imageI defpoint3d
+ /imageJ {0 1 0} def
+ normal_vect /imageK defpoint3d
+ } if
+ } ifelse
+ } {
+ dup length 6 eq {
+ aload pop
+ normalize3d /imageK defpoint3d
+ normalize3d /imageI defpoint3d
+ imageK imageI vectprod3d /imageJ defpoint3d
+ } {
+ dup length 7 eq {
+ aload pop
+ /alpha exch 2 div def
+ normalize3d /imageK defpoint3d
+ normalize3d /imageI defpoint3d
+ imageK imageI vectprod3d /imageJ defpoint3d
+ %% et ensuite, on fait tourner la base autour de imageK
+ imageI alpha cos mulv3d
+ imageJ alpha sin mulv3d
+ addv3d
+
+ imageI alpha sin neg mulv3d
+ imageJ alpha cos mulv3d
+ addv3d
+
+ /imageJ defpoint3d
+ /imageI defpoint3d
+ } {
+ %% length = 4
+ aload pop
+ /alpha exch def
+ normalize3d /normal_vect defpoint3d
+
+ normal_vect -1 0 0 eqp3d {
+ /imageI {0 -1 0} def
+ /imageK {-1 0 0} def
+ /imageJ {0 0 1} def
+ } {
+ %% on calcule l image de la base (I,J,K)
+ /imageJ {normal_vect 1 0 0 vectprod3d normalize3d} def
+ /imageK {normal_vect} def
+ /imageI {imageJ imageK vectprod3d} def
+ 1 0 0 imageK angle3d 0 eq {
+ 0 1 0 normal_vect vectprod3d /imageI defpoint3d
+ /imageJ {0 1 0} def
+ normal_vect /imageK defpoint3d
+ } if
+ } ifelse
+ } ifelse
+
+ %% et ensuite, on fait tourner la base autour de imageK
+ imageI alpha cos mulv3d
+ imageJ alpha sin mulv3d
+ addv3d
+
+ imageI alpha sin neg mulv3d
+ imageJ alpha cos mulv3d
+ addv3d
+
+ /imageJ defpoint3d
+ /imageI defpoint3d
+ } ifelse
+ } ifelse
+ imageI
+ imageJ
+ imageK
+end
+} def
+
+%%%%% ### projpath ###
+%% syntaxe : x y z [normal] projpath --> planprojpath
+%% syntaxe : x y z [normal] bool projpath --> planprojpath
+%% syntaxe : solid i projpath --> solidprojpath
+%% syntaxe : solid i bool projpath --> solidprojpath
+%% syntaxe : solid i str bool projpath --> solidprojpath
+%% syntaxe : solid i alpha str bool projpath --> solidprojpath
+/projpath {
+2 dict begin
+ dup isbool {
+ /mybool exch def
+ } {
+ /mybool true def
+ } ifelse
+ dup isplan {
+ 3 dict begin
+ /lepl@n exch def
+ lepl@n plangetbase aload pop
+ /@V defpoint3d
+ /@U defpoint3d
+ lepl@n plangetorigine
+ [@U @U @V vectprod3d] mybool planprojpath
+ end
+ } {
+ dup isarray {
+ mybool planprojpath
+ } {
+ mybool solidprojpath
+ } ifelse
+ } ifelse
+end
+} def
+
+
+%% %% syntaxe : x y z [normal] projpath --> planprojpath
+%% %% syntaxe : x y z [normal] bool projpath --> planprojpath
+%% %% syntaxe : solid i projpath --> solidprojpath
+%% %% syntaxe : solid i bool projpath --> solidprojpath
+%% %% syntaxe : solid i str bool projpath --> solidprojpath
+%% %% syntaxe : solid i alpha str bool projpath --> solidprojpath
+%% /projpath {
+%% 2 dict begin
+%% dup isbool {
+%% /mybool exch def
+%% } {
+%% /mybool true def
+%% } ifelse
+%% dup isarray {
+%% mybool planprojpath
+%% } {
+%% mybool solidprojpath
+%% } ifelse
+%% end
+%% } def
+%%
+%% syntaxe : solid i str bool solidprojpath --> -
+%% ou
+%% syntaxe : solid i alpha str bool solidprojpath --> -
+%% projette le chemin courant sur la face i du solide, apres
+%% eventuellement une rotation d angle alpha autour de la normale
+%% bool : pour savoir si on tient compte de la visibilite
+/solidprojpath {
+5 dict begin
+ /visibility exch def
+ dup isstring {
+ /option exch def
+ } if
+ 2 copy pop
+ issolid {
+ /alpha 0 def
+ } {
+ /alpha exch def
+ } ifelse
+ /i exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidprojpath) ==
+ } if
+ /n solid solidnombrefaces def
+ i n 1 sub le {
+ visibility not solid i solidfacevisible? or {
+ currentdict /option known {
+ option cvx exec
+ } {
+ solid i solidcentreface
+ } ifelse
+ [
+ solid 0 i solidgetsommetface
+ solid 1 i solidgetsommetface
+ vecteur3d normalize3d
+ solid i solidnormaleface alpha
+ ] false planprojpath
+ } {
+ newpath 0 0 smoveto
+ } ifelse
+ } {
+ (Error : indice trop grand dans solidprojpath) ==
+ quit
+ } ifelse
+end
+} def
+
+%% syntaxe : x y z [normal] bool planprojpath
+/planprojpath {
+6 dict begin
+ /visibility exch def
+ %% on calcule l image de la base (I,J,K)
+ normalvect_to_orthobase
+ /imageK defpoint3d
+ /imageJ defpoint3d
+ /imageI defpoint3d
+ /z exch def
+ /y exch def
+ /x exch def
+
+ visibility not x y z imageK planvisible? or {
+ {ptojpoint 0
+ imageI
+ imageJ
+ imageK
+ transformpoint3d
+ x y z addv3d
+ 3dto2d jtoppoint} currentppathtransform
+ } {
+ newpath
+ } ifelse
+end
+} def
+
+%%%%% ### projscene ###
+%% syntaxe : plantype bool bprojscene ... eprojscene
+/bprojscene {
+10 dict begin
+gsave
+ dup isbool {
+ /mybool exch def
+ } {
+ /mybool true def
+ } ifelse
+ /l@pl@n exch def
+ /saveStroke {SolidesDict /Stroke get exec} def
+ /Stroke {l@pl@n mybool projpath saveStroke} def
+ /savefill {SolidesDict /Fill get exec} def
+ /Fill {l@pl@n mybool projpath savefill} def
+ /masque {} def
+ l@pl@n plangetrange aload pop
+ setyrange setxrange
+ newpath
+%% xmin ymin l@pl@n pointplan smoveto
+%% xmin ymax l@pl@n pointplan slineto
+%% xmax ymax l@pl@n pointplan slineto
+%% xmax ymin l@pl@n pointplan slineto
+%% xmin ymin l@pl@n pointplan smoveto
+%% % closepath
+%% %gsave orange Fill grestore
+%% clip
+} def
+/eprojscene {
+grestore
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% fonctions numeriques %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### courbeparam ###
+/setresolution {
+ /resolution exch def
+} def
+%/resolution 200 def % ---- hv 20110713
+
+/courbe_dic 2 dict def
+courbe_dic /X {} put
+courbe_dic /Y {} put
+
+%% syntaxe : tmin tmax C@urbeparam_
+ /C@urbeparam_ {
+6 dict begin
+ /tmax@ exch def
+ /tmin@ exch def
+ /t tmin@ def
+ /dt tmax@ tmin@ sub resolution 1 sub div def
+ tmin@ courbe_dic /X get exec
+ pstrickactionR
+ tmin@ courbe_dic /Y get exec
+ pstrickactionR
+ smoveto
+ resolution 1 sub
+ {
+ t courbe_dic /X get exec
+ pstrickactionR
+ t courbe_dic /Y get exec
+ pstrickactionR
+ slineto
+
+ /t t dt add store %% on incremente
+ }
+ repeat
+ tmax@ courbe_dic /X get exec
+ pstrickactionR
+ tmax@ courbe_dic /Y get exec
+ pstrickactionR
+ slineto
+end
+} def
+
+%% syntaxe : tmin tmax {X} {Y} Courbeparam_
+/Courbeparam_ {
+ courbe_dic exch /Y exch put
+ courbe_dic exch /X exch put
+ C@urbeparam_
+} def
+
+%% syntaxe : {X} {Y} courbeparam_
+/courbeparam_ {
+ tmin tmax
+ 4 -1 roll
+ 4 -1 roll
+ Courbeparam_
+} def
+
+%% syntaxe : tmin tmax {X} {Y} Courbeparam
+/Courbeparam {
+gsave
+6 dict begin
+ dup isstring
+ {
+ /option exch def
+ }
+ if
+ courbe_dic exch /Y exch put
+ courbe_dic exch /X exch put
+ /tmax exch def
+ /tmin exch def
+
+ newpath
+ tmin courbe_dic /X get exec
+ pstrickactionR
+ tmin courbe_dic /Y get exec
+ pstrickactionR
+ smoveto %% on commence le chemin
+ tmin tmax C@urbeparam_
+ starfill
+
+ stockcurrentcpath
+ newarrowpath
+ currentdict /option known
+ {
+ /dt tmax tmin sub resolution 1 sub div def
+ tmin dt add courbe_dic /X get exec
+ tmin dt add courbe_dic /Y get exec
+ tmin courbe_dic /X get exec
+ tmin courbe_dic /Y get exec
+ arrowpath0
+ tmax dt sub courbe_dic /X get exec
+ tmax dt sub courbe_dic /Y get exec
+ tmax courbe_dic /X get exec
+ tmax courbe_dic /Y get exec
+ currentdict /dt undef
+ arrowpath1
+ option
+ gere_arrowhead
+ }
+ if
+
+ currentlinewidth 0 eq {} { Stroke } ifelse
+
+end
+grestore
+} def
+
+%% syntaxe : {X} {Y} courbeparam
+/courbeparam {
+ dup isstring
+ {
+ tmin tmax
+ 5 -1 roll
+ 5 -1 roll
+ 5 -1 roll
+ }
+ {
+ tmin tmax
+ 4 -1 roll
+ 4 -1 roll
+ }
+ ifelse
+ Courbeparam
+} def
+
+%% syntaxe : tmin tmax {X} {Y} Courbeparam*
+/Courbeparam* {
+1 dict begin
+ /startest {true} def
+ Courbeparam
+end
+} def
+
+%% syntaxe : {X} {Y} courbeparam*
+/courbeparam* {
+1 dict begin
+ /startest {true} def
+ courbeparam
+end
+} def
+
+%%%%% ### courbe ###
+%% syntaxe : {f} courbe
+/courbe {
+ dup isstring %% y a-t-il une option de fin de ligne ?
+ {
+ xmin xmax
+ {}
+ 5 -1 roll
+ 5 -1 roll
+ }
+ {
+ xmin xmax
+ {}
+ 4 -1 roll
+ }
+ ifelse
+ Courbeparam
+} def
+
+%% syntaxe : mini maxi {f} Courbe
+/Courbe {
+ dup isstring {
+ {}
+ 3 -1 roll
+ 3 -1 roll
+ } {
+ {}
+ 2 -1 roll
+ } ifelse
+ Courbeparam
+} def
+
+%% syntaxe : {f} courbe_
+/courbe_ {
+ xmin xmax
+ {}
+ 4 -1 roll
+ Courbeparam_
+} def
+
+%% syntaxe : mini maxi {f} Courbe_
+/Courbe_ {
+ {}
+ 2 -1 roll
+ Courbeparam_
+} def
+
+%% syntaxe : mini maxi {f} Courbe*
+/Courbe* {
+1 dict begin
+ /startest {true} def
+ Courbe
+end
+} def
+
+%% syntaxe : {f} courbe*
+/courbe* {
+1 dict begin
+ /startest {true} def
+ courbe
+end
+} def
+
+%%%%% ### courbeR2 ###
+%% syntaxe : tmin tmax C@urbeR2_
+ /C@urbeR2_ {
+6 dict begin
+ /tmax@ exch def
+ /tmin@ exch def
+ /t tmin@ def
+ /dt tmax@ tmin@ sub resolution 1 sub div def
+ tmin@ courbe_dic /X get exec
+ pstrickactionR2
+ smoveto
+ /t t dt add store
+ resolution 2 sub
+ {
+ t courbe_dic /X get exec
+ pstrickactionR2
+ slineto
+ /t t dt add store %% on incremente
+ }
+ repeat
+ tmax@ courbe_dic /X get exec
+ pstrickactionR2
+ slineto
+end
+} def
+
+%% syntaxe : tmin tmax {X} CourbeR2_
+/CourbeR2_ {
+ courbe_dic exch /X exch put
+ C@urbeR2_
+} def
+
+%% syntaxe : {X} courbeR2_
+/courbeR2_ {
+ tmin tmax
+ 3 -1 roll
+ 3 -1 roll
+ CourbeR2_
+} def
+
+%% syntaxe : tmin tmax {X} CourbeR2
+/CourbeR2+ {
+2 dict begin
+ /slineto {} def
+ /smoveto {} def
+ CourbeR2
+end
+} bind def
+
+/CourbeR2 {
+gsave
+6 dict begin
+ dup isstring
+ {
+ /option exch def
+ }
+ if
+ courbe_dic exch /X exch put
+ /tmax exch def
+ /tmin exch def
+
+ newpath
+ tmin tmax C@urbeR2_
+ starfill
+ currentlinewidth 0 eq {} { Stroke } ifelse
+
+end
+grestore
+} def
+
+%% syntaxe : {X} courbeR2
+/courbeR2 {
+ tmin tmax
+ 3 -1 roll
+ CourbeR2
+} def
+
+%% syntaxe : tmin tmax {X} CourbeR2*
+/CourbeR2* {
+1 dict begin
+ /startest {true} def
+ CourbeR2
+end
+} def
+
+%% syntaxe : {X} {Y} courbeR2*
+/courbeR2* {
+1 dict begin
+ /startest {true} def
+ courbeR2
+end
+} def
+
+%%%%% ### courbeR3 ###
+%% syntaxe : t1 t2 {f} (option) CourbeR3
+/CourbeR3 {
+2 dict begin
+ dup isstring {
+ /option exch def
+ } if
+ /lafonction exch def
+ {lafonction 3dto2d}
+ currentdict /option known
+ {option}
+ if
+ CourbeR2
+end
+} def
+
+%% syntaxe : {f} (option) CourbeR3
+/courbeR3 {
+ tmin tmax 3 -1 roll CourbeR3
+} def
+
+%%%%% ### cercle ###
+%% syntaxe : x0 y0 r cercle
+/cercle {
+3 dict begin
+ /r@y@n exch def
+ /y@ exch def
+ /x@ exch def
+ 0 360 {cos r@y@n mul x@ add} {sin r@y@n mul y@ add} Courbeparam
+end
+} def
+
+%% syntaxe : x0 y0 r cercle_
+/cercle_ {
+3 dict begin
+ /r@y@n exch def
+ /y@ exch def
+ /x@ exch def
+ x@ r@y@n add y@ smoveto
+ 0 360 {cos r@y@n mul x@ add} {sin r@y@n mul y@ add} Courbeparam_
+end
+} def
+
+%% syntaxe : x0 y0 r cercle-_
+/cercle-_ {
+3 dict begin
+ /r@y@n exch def
+ /y@ exch def
+ /x@ exch def
+ x@ r@y@n add y@ smoveto
+ 360 0 {cos r@y@n mul x@ add} {sin r@y@n mul y@ add} Courbeparam_
+end
+} def
+
+%% syntaxe : x0 y0 r cercle*
+/cercle* {
+1 dict begin
+ /startest true def
+ cercle
+end
+} def
+
+%% syntaxe : alpha beta x0 y0 r Cercle
+/Cercle {
+4 dict begin
+ dup isstring
+ {/option exch def}
+ if
+ /r@y@n exch def
+ /y@ exch def
+ /x@ exch def
+ {cos r@y@n mul x@ add} {sin r@y@n mul y@ add}
+ currentdict /option known
+ {option}
+ if
+ Courbeparam
+end
+} def
+
+%% syntaxe : alpha beta x0 y0 r Cercle_
+/Cercle_ {
+3 dict begin
+ /r@y@n exch def
+ /y@ exch def
+ /x@ exch def
+ {cos r@y@n mul x@ add} {sin r@y@n mul y@ add} Courbeparam_
+end
+} def
+
+%% syntaxe : alpha beta x0 y0 r Cercle
+/Cercle* {
+1 dict begin
+ /startest {true} def
+ Cercle
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% fonctions et constantes mathematiques %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### math ###
+%%%%%%%%%%% constantes mathematiques %%%%%%%%%%%%%%
+
+/pi 3.14159 def
+/e 2.71828 def
+
+%%%%%%%%%%% fonctions mathematiques %%%%%%%%%%%%%%%
+
+/rd {180 pi div mul} def %% transforme des rd en degres
+/deg {pi mul 180 div} def %% transforme des degres en rd
+/log {ln 10 ln div} def
+/Exp {e exch exp} def
+/Cos {rd cos} def
+/Sin {rd sin} def
+/tan {dup sin exch cos div} def
+/cotan {dup cos exch sin div} def
+/Tan {dup Sin exch Cos div} def
+/Cotan {dup Cos exch Sin div} def
+/coTan {Cotan} def
+/arctan {
+dup 0 ge
+ {1 atan}
+ {neg 1 atan neg}
+ifelse
+} def
+/Arctan {arctan deg} def
+/arccos {
+ dup
+ dup mul neg 1 add sqrt
+ exch
+ atan
+} def
+/Arccos {arccos deg} def
+/arcsin {
+ dup 1 eq {
+ 90
+ } {
+ dup
+ dup mul neg 1 add sqrt
+ atan
+ dup 90 lt
+ {}
+ {360 sub}
+ ifelse
+ } ifelse
+} def
+/Arcsin {arcsin deg} def
+/cosh {dup Exp exch neg Exp add 2 div} def
+/sinh {dup Exp exch neg Exp sub 2 div} def
+/tanh {dup sinh exch cosh div} def
+/cotanh {dup cosh exch sinh div} def
+/argcosh {dup dup mul 1 sub sqrt add ln} def
+/argsinh {dup dup mul 1 add sqrt add ln} def
+/argtanh {
+ setxvar
+ x 1 add
+ 1 x sub
+ div
+ ln
+ 2 div
+} def
+/factorielle {
+ dup 0 eq
+ {pop 1}
+ {dup 1 sub factorielle mul}
+ ifelse
+} def
+/Gauss {
+3 dict begin
+ /sigma exch def
+ /m exch def
+ /x exch def
+ x m sub dup mul sigma dup mul 2 mul div neg Exp
+ 2 pi mul sigma dup mul mul sqrt div
+end
+} def
+%% syntaxe : a n modulo
+/modulo {
+2 dict begin
+ /n exch def
+ /a exch def
+ {
+ a 0 lt {
+ /a a n add store
+ } {
+ exit
+ } ifelse
+ } loop
+ a n mod
+end
+} def
+
+%%%%% ### max ###
+/max {
+ 2 copy
+ lt {exch} if
+ pop
+} def
+
+%%%%% ### min ###
+/min {
+2 dict begin
+ dup isarray {
+ duparray /table exch def pop
+ table 0 get
+ 1 1 table length 1 sub {
+ /i exch def
+ table i get
+ min
+ } for
+ } {
+ 2 copy
+ gt {exch} if
+ pop
+ } ifelse
+end
+} def
+
+%%%%% ### setcolor ###
+%% syntaxe : tableau setcolor
+/setcolor {
+ dup length 4 eq
+ {aload pop setcmykcolor}
+ {aload pop setrgbcolor}
+ ifelse
+} def
+
+%%%%% ### in ###
+%% cherche si un elt donne appartient au tableau donne
+%% rque : utilise 3 variables locales
+%% syntaxe : elt array in --> index boolean
+/in {
+3 dict begin
+ /liste exch def
+ /elt exch def
+ /i 0 def
+ false %% la reponse a priori
+ liste length {
+ liste i get elt eq {
+ pop %% en enleve la reponse
+ i true %% pour mettre la bonne
+ exit
+ } if
+ /i i 1 add store
+ } repeat
+end
+} def
+
+%% cherche si un elt donne appartient au tableau donne
+%% syntaxe : elt array in --> boolean
+/In {
+3 dict begin
+ /liste exch def
+ /elt exch def
+ /i 0 def
+ false %% la reponse a priori
+ liste length {
+ liste i get elt eq {
+ pop %% en enleve la reponse
+ true %% pour mettre la bonne
+ exit
+ } if
+ /i i 1 add store
+ } repeat
+end
+} def
+
+%%%%% ### starfill ###
+%% la procedure pour les objets "star"
+%% si c est "star" on fait le fillstyle, sinon non
+/starfill {
+ startest {
+ gsave
+ clip
+ fillstyle
+ grestore
+ /startest false def
+ } if
+} def
+
+%%%%% ### addv ###
+%% syntaxe : u v addv --> u+v
+/addv { %% xA yA xB yB
+ 3 1 roll %% xA yB yA xB
+ 4 1 roll %% xB xA yB yA
+ add 3 1 roll %% yB+yA xB xA
+ add exch
+} def
+
+%%%%% ### continu ###
+/continu {
+ [] 0 setdash
+} def
+
+%%%%% ### trigospherique ###
+%% passage spherique --> cartesiennes
+%% les formules de passage ont été récupérées ici :
+%% http://fr.wikipedia.org/wiki/Coordonn%C3%A9es_polaires
+%% syntaxe : r theta phi rtp2xyz -> x y z
+/rtp2xyz {
+6 dict begin
+ /phi exch def
+ /theta exch def
+ /r exch def
+ /x phi cos theta cos mul r mul def
+ /y phi cos theta sin mul r mul def
+ /z phi sin r mul def
+ x y z
+end
+} def
+
+%% trace d'un arc sur une sphere de centre O
+%% syntaxe : r theta1 phi1 r theta2 phi2 arcspherique
+/arcspherique {
+9 dict begin
+ dup isstring {
+ /option exch def
+ } if
+ /phi2 exch def
+ /theta2 exch def
+ pop
+ /phi1 exch def
+ /theta1 exch def
+ /r exch def
+ /n 12 def
+
+ 1 theta1 phi1 rtp2xyz /u defpoint3d
+ 1 theta2 phi2 rtp2xyz /v defpoint3d
+ u v vectprod3d u vectprod3d dupp3d norme3d 1 exch div mulv3d /w defpoint3d
+
+ /sinalpha u v vectprod3d norme3d def
+ /cosalpha u v scalprod3d def
+ /alpha sinalpha cosalpha atan def
+ /n 12 def
+ /pas alpha n div def
+
+ gsave
+ /t pas neg def
+ [
+ n 1 add {
+ /t t pas add store
+ u t cos r mul mulv3d
+ w t sin r mul mulv3d
+ addv3d
+ } repeat
+ ]
+ currentdict /option known {
+ option
+ } if
+ ligne3d
+ grestore
+end
+} def
+
+%% trace d'un arc sur une sphere de centre O
+%% syntaxe : r theta1 phi1 r theta2 phi2 arcspherique
+/arcspherique_ {
+8 dict begin
+ /phi2 exch def
+ /theta2 exch def
+ pop
+ /phi1 exch def
+ /theta1 exch def
+ /r exch def
+ /n 12 def
+
+ 1 theta1 phi1 rtp2xyz /u defpoint3d
+ 1 theta2 phi2 rtp2xyz /v defpoint3d
+ u v vectprod3d u vectprod3d dupp3d norme3d 1 exch div mulv3d /w defpoint3d
+
+ /sinalpha u v vectprod3d norme3d def
+ /cosalpha u v scalprod3d def
+ /alpha sinalpha cosalpha atan def
+ /n 12 def
+ /pas alpha n div def
+
+ /t pas neg def
+ [
+ n 1 add {
+ /t t pas add store
+ u t cos r mul mulv3d
+ w t sin r mul mulv3d
+ addv3d
+ } repeat
+ ] ligne3d_
+end
+} def
+
+%% trace d'une geodesique sur une sphere de centre O
+%% syntaxe : r theta1 phi1 r theta2 phi2 geodesique_sphere
+/geodesique_sphere {
+13 dict begin
+ /phi2 exch def
+ /theta2 exch def
+ pop
+ /phi1 exch def
+ /theta1 exch def
+ /r exch def
+ /n 360 def
+
+ 1 theta1 phi1 rtp2xyz /u defpoint3d
+ 1 theta2 phi2 rtp2xyz /v defpoint3d
+ u v vectprod3d u vectprod3d dupp3d norme3d 1 exch div mulv3d /w defpoint3d
+
+ /sinalpha u v vectprod3d norme3d def
+ /cosalpha u v scalprod3d def
+ /alpha sinalpha cosalpha atan def
+ /pas 360 n div def
+
+ gsave
+ /t pas neg def
+ [
+ n 1 add {
+ /t t pas add store
+ u t cos r mul mulv3d
+ w t sin r mul mulv3d
+ addv3d
+ } repeat
+ ] ligne3d
+ grestore
+end
+} def
+
+
+%% syntaxe : A B C trianglespherique --> trace le rtiangle ABC
+%% (coordonnees spheriques)
+/trianglespherique* {
+1 dict begin
+ /startest {true} def
+ trianglespherique
+end
+} def
+
+/trianglespherique {
+10 dict begin
+ /C defpoint3d
+ /B defpoint3d
+ /A defpoint3d
+ gsave
+ newpath
+ A rtp2xyz 3dto2d smoveto
+ A B arcspherique_
+ B C arcspherique_
+ C A arcspherique_
+ closepath
+ starfill
+ currentlinewidth 0 eq {} { Stroke } ifelse
+ grestore
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% operations sur les tableaux %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### duparray ###
+/duparray {
+1 dict begin
+ /table exch def
+ table
+ [ table aload pop ]
+end
+} def
+
+%%%%% ### append ###
+%% syntaxe : string1 string2 append --> concatene les 2 chaines ou fusionne 2 tableaux
+/append {
+3 dict begin
+ dup isarray {
+ /tab2 exch def
+ /tab1 exch def
+ [ tab1 aload pop tab2 aload pop ]
+ } {
+ /str2 exch def
+ /str1 exch def
+ /result str1 length str2 length add string def
+ str1 result copy pop
+ result str1 length str2 putinterval
+ result
+ } ifelse
+end
+} def
+
+%%%%% ### rollparray ###
+%% syntaxe : array n rollparray -> array
+%% opere une rotation de n sur les couplets du tableau array
+/rollparray {
+4 dict begin
+ /k exch def
+ /table exch def
+ /n table length def
+ k 0 eq {
+ table
+ } {
+ k 0 ge {
+ [ table aload pop 2 {n 1 roll} repeat ]
+ k 1 sub
+ } {
+ [ table aload pop 2 {n -1 roll} repeat ]
+ k 1 add
+ } ifelse
+ rollparray
+ } ifelse
+end
+} def
+
+%%%%% ### bubblesort ###
+%% syntaxe : array bubblesort --> array2 trie par ordre croissant
+%% code de Bill Casselman
+%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/
+/bubblesort {
+4 dict begin
+ /a exch def
+ /n a length 1 sub def
+ n 0 gt {
+ % at this point only the n+1 items in the bottom of a remain to
+ % the sorted largest item in that blocks is to be moved up into
+ % position n
+ n {
+ 0 1 n 1 sub {
+ /i exch def
+ a i get a i 1 add get gt {
+ % if a[i] > a[i+1] swap a[i] and a[i+1]
+ a i 1 add
+ a i get
+ a i a i 1 add get
+ % set new a[i] = old a[i+1]
+ put
+ % set new a[i+1] = old a[i]
+ put
+ } if
+ } for
+ /n n 1 sub def
+ } repeat
+ } if
+ a
+end
+} def
+
+%% syntaxe : array1 doublebubblesort --> array2 array3, array3 est
+%% trie par ordre croissant et array2 correspond a la position des
+%% indices de depart, ie si array1 = [3 2 4 1], alors array2 = [3 1 0 2]
+%% code de Bill Casselman, modifie par jpv, 15/08/2006
+%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/
+/doublebubblesort {
+5 dict begin
+ /table exch def
+ /n table length 1 sub def
+ /indices [ 0 1 n {} for ] def
+ n 0 gt {
+ % at this point only the n+1 items in the bottom of a remain to
+ % the sorted largest item in that blocks is to be moved up into
+ % position n
+ n {
+ 0 1 n 1 sub {
+ /i exch def
+ table i get table i 1 add get gt {
+ % if a[i] > a[i+1] swap a[i] and a[i+1]
+ table i 1 add
+ table i get
+ table i table i 1 add get
+ % set new a[i] = old a[i+1]
+ put
+ % set new a[i+1] = old a[i]
+ put
+
+ indices i 1 add
+ indices i get
+ indices i indices i 1 add get
+ % set new a[i] = old a[i+1]
+ put
+ % set new a[i+1] = old a[i]
+ put
+ } if
+ } for
+ /n n 1 sub def
+ } repeat
+ } if
+ indices table
+end
+} def
+
+%%%%% ### quicksort ###
+%% src : http://www.math.ubc.ca/~cass/graphics/text/www/code/sort.inc
+%% code de Bill Casselman, modifie par jpv, 18/10/2007
+
+/qsortdict 8 dict def
+
+qsortdict begin
+
+% args: /comp a L R x
+% effect: effects a partition into two pieces [L j] [i R]
+% leaves i j on stack
+
+/partition { 8 dict begin
+/x exch def
+/j exch def
+/i exch def
+/a exch def
+load /comp exch def
+{
+ {
+ a i get x comp exec not {
+ exit
+ } if
+ /i i 1 add def
+ } loop
+ {
+ x a j get comp exec not {
+ exit
+ } if
+ /j j 1 sub def
+ } loop
+
+ i j le {
+ % swap a[i] a[j]
+ a j a i get
+ a i a j get
+ put put
+ indices j indices i get
+ indices i indices j get
+ put put
+ /i i 1 add def
+ /j j 1 sub def
+ } if
+ i j gt {
+ exit
+ } if
+} loop
+i j
+end } def
+
+% args: /comp a L R
+% effect: sorts a[L .. R] according to comp
+
+/subsort {
+% /c a L R
+[ 3 1 roll ] 3 copy
+% /c a [L R] /c a [L R]
+aload aload pop
+% /c a [L R] /c a L R L R
+add 2 idiv
+% /c a [L R] /c a L R (L+R)/2
+3 index exch get
+% /c a [L R] /c a L R x
+partition
+% /c a [L R] i j
+% if j > L subsort(a, L, j)
+dup
+% /c a [L R] i j j
+3 index 0 get gt {
+ % /c a [L R] i j
+ 5 copy
+ % /c a [L R] i j /c a [L R] i j
+ exch pop
+ % /c a [L R] i j /c a [L R] j
+ exch 0 get exch
+ % ... /c a L j
+ subsort
+} if
+% /c a [L R] i j
+pop dup
+% /c a [L R] i i
+% if i < R subsort(a, i, R)
+2 index 1 get lt {
+ % /c a [L R] i
+ exch 1 get
+ % /c a i R
+ subsort
+}{
+ 4 { pop } repeat
+} ifelse
+} def
+
+end
+
+% args: /comp a
+% effect: sorts the array a
+% comp returns truth of x < y for entries in a
+
+/quicksort { qsortdict begin
+dup length 1 gt {
+% /comp a
+dup
+% /comp a a
+length 1 sub
+% /comp a n-1
+0 exch subsort
+} {
+pop pop
+} ifelse
+end } def
+
+% ----------------------------------------
+
+%% fin du code de Bill Casselman
+
+%% syntaxe : array1 doublebubblesort --> array2 array3, array3 est
+%% trie par ordre croissant et array2 correspond a la position des
+%% indices de depart, ie si array1 = [3 2 4 1], alors array2 = [3 1 0 2]
+%% code de Bill Casselman, modifie par jpv, 18/10/2007
+%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/
+/doublequicksort {
+qsortdict begin
+ /comp exch
+ /a exch def
+ a dup length /n exch def
+ /indices [0 1 n 1 sub {} for ] def
+ dup length 1 gt {
+ % /comp a
+ dup
+ % /comp a a
+ length 1 sub
+ % /comp a n-1
+ 0 exch subsort
+ } {
+ pop pop
+ } ifelse
+ indices a
+end
+} def
+
+/comp {lt} def
+
+%%%%% ### apply ###
+%% syntaxe : [x1 ... xn] (f) apply --> [f(x1) ... f(xn)]
+/apply {
+3 dict begin
+ dup isstring
+ {/fonction exch cvx def}
+ {/fonction exch def}
+ ifelse
+ /liste exch def
+ /@i 0 def
+ [
+ liste length {
+ liste @i get fonction
+ /@i @i 1 add store
+ } repeat
+ counttomark
+ 0 eq
+ {pop}
+ {]}
+ ifelse
+end
+} def
+
+%% syntaxe : [x1 ... xn] (f) papply
+/papply {
+3 dict begin
+ dup isstring
+ {/fonction exch cvx def}
+ {/fonction exch def}
+ ifelse
+ /liste exch def
+ /@i 0 def
+ [
+ liste length 2 idiv {
+ liste @i get
+ liste @i 1 add get
+ fonction
+ /@i @i 2 add store
+ } repeat
+ counttomark
+ 0 eq
+ {pop}
+ {]}
+ ifelse
+end
+} def
+
+%% syntaxe : [x1 ... xn] (f) capply
+/capply {
+3 dict begin
+ dup isstring
+ {/fonction exch cvx def}
+ {/fonction exch def}
+ ifelse
+ /liste exch def
+ /@i 0 def
+ [
+ liste length 3 idiv {
+ liste @i get
+ liste @i 1 add get
+ liste @i 2 add get
+ fonction
+ /@i @i 3 add store
+ } repeat
+ counttomark
+ 0 eq
+ {pop}
+ {]}
+ ifelse
+end
+} def
+
+%%%%% ### reverse ###
+%% syntaxe : array reverse --> inverse l ordre des items dans
+%% le tableau
+/reverse {
+3 dict begin
+ /le_tableau exch def
+ /n le_tableau length def
+ /i n 1 sub def
+ [
+ n {
+ le_tableau i get
+ /i i 1 sub store
+ } repeat
+ ]
+end
+} def
+
+%% syntaxe : array_points reversep --> inverse l ordre des points dans
+%% le tableau
+/reversep {
+3 dict begin
+ /le_tableau exch def
+ /n le_tableau length 2 idiv def
+ /i n 1 sub def
+ [
+ n {
+ le_tableau i getp
+ /i i 1 sub store
+ } repeat
+ ]
+end
+} def
+
+%%%%% ### get ###
+%% syntaxe : array_points n getp --> le n-ieme point du tableau de
+%% points array_points
+/getp {
+ 2 copy
+ 2 mul get
+ 3 1 roll
+ 2 mul 1 add get
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% matrices %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### linear ###
+%% syntaxe : M i j any --> depose any dans M en a_ij
+/put_ij {
+5 dict begin
+ /a exch def
+ /j exch def
+ /i exch def
+ /M exch def
+ /L M i get_Li def
+ L j a put
+ M i L put_Li
+end
+} def
+
+%% syntaxe : M i j get_ij --> le coeff c_ij
+/get_ij {
+ 3 1 roll %% j M i
+ get_Li %% j L_i
+ exch get
+} def
+
+%% syntaxe : M i L put_Li --> remplace dans M la ligne Li par L
+/put_Li {
+ put
+} def
+
+%% syntaxe : M i get_Li --> la ligne Li de M
+/get_Li {
+ get
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% geometrie 3d (calculs) %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### p3dtoplane ###
+%% syntaxe : x y z P p3dtoplane --> X Y
+/p3dtoplane {
+5 dict begin
+ /leplan exch def
+ /M defpoint3d
+ leplan plangetbase 0 getp3d /U defpoint3d
+ leplan plangetbase 1 getp3d /V defpoint3d
+ leplan plangetorigine /I defpoint3d
+ I M vecteur3d U scalprod3d
+ I M vecteur3d V scalprod3d
+end
+} def
+
+%%%%% ### pplaneto3d ###
+%% syntaxe : x y P pplaneto3d --> X Y Z
+/pplaneto3d {
+6 dict begin
+ /leplan exch def
+ /y exch def
+ /x exch def
+ leplan plangetbase 0 getp3d /U defpoint3d
+ leplan plangetbase 1 getp3d /V defpoint3d
+ leplan plangetorigine /I defpoint3d
+ U x mulv3d
+ V y mulv3d addv3d
+ I addv3d
+end
+} def
+
+%%%%% ### orthoprojplane3d ###
+%% 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)
+/orthoprojplane3d {
+4 dict begin
+ dup isplan {
+ /monplan exch def
+ monplan plangetorigine
+ monplan plangetbase aload pop vectprod3d
+ } if
+ /V defpoint3d
+ /A defpoint3d
+ /M defpoint3d
+ /VN {V unitaire3d} def
+ VN M A vecteur3d VN scalprod3d mulv3d
+ M addv3d
+end
+} def
+
+%%%%% ### sortp3d ###
+/sortp3d {
+6 dict begin
+ /M1 defpoint3d
+ /M0 defpoint3d
+ M1
+ /z1 exch def
+ /y1 exch def
+ /x1 exch def
+ M0
+ /z0 exch def
+ /y0 exch def
+ /x0 exch def
+ x0 x1 lt {
+ M0 M1
+ } {
+ x0 x1 gt {
+ M1 M0
+ } {
+ y0 y1 lt {
+ M0 M1
+ } {
+ y0 y1 gt {
+ M1 M0
+ } {
+ z0 z1 lt {
+ M0 M1
+ } {
+ M1 M0
+ } ifelse
+ } ifelse
+ } ifelse
+ } ifelse
+ } ifelse
+end
+} def
+
+%%%%% ### dupp3d ###
+%% duplique le vecteur 3d
+/dupp3d { %% x y z
+ 3 copy
+} def
+/dupv3d {dupp3d} def
+
+%%%%% ### angle3d ###
+%% syntaxe : vect1 vect2 angle3d
+/angle3d {
+4 dict begin
+ normalize3d /vect2 defpoint3d
+ normalize3d /vect1 defpoint3d
+ /cosalpha vect1 vect2 scalprod3d def
+ /sinalpha vect1 vect2 vectprod3d norme3d def
+ sinalpha cosalpha atan
+end
+} def
+
+%%%%% ### transformpoint3d ###
+%% syntaxe : x y z a11 a21 a31 a12 a22 a32 a13 a23 a33
+%% transformpoint3d -> X Y Z
+/transformpoint3d {
+12 dict begin
+ /a33 exch def
+ /a23 exch def
+ /a13 exch def
+ /a32 exch def
+ /a22 exch def
+ /a12 exch def
+ /a31 exch def
+ /a21 exch def
+ /a11 exch def
+ /z exch def
+ /y exch def
+ /x exch def
+ a11 x mul a12 y mul add a13 z mul add
+ a21 x mul a22 y mul add a23 z mul add
+ a31 x mul a32 y mul add a33 z mul add
+end
+} def
+
+%%%%% ### normalize3d ###
+%% rend le vecteur 3d unitaire. Ne fait rien si u=0
+/unitaire3d { %% x y z
+2 dict begin
+ /u defpoint3d
+ /norme u norme3d def
+ norme 0 eq {
+ u
+ } {
+ u 1 norme div mulv3d
+ } ifelse
+end
+} def
+/normalize3d {unitaire3d} def
+
+%%%%% ### geom3d ###
+%% syntaxe : A k1 B k2 barycentre3d -> G, barycentre du systeme
+%% [(A, k1) (B, k2)]
+/barycentre3d {
+4 dict begin
+ /k2 exch def
+ /B defpoint3d
+ /k1 exch def
+ /A defpoint3d
+ A k1 mulv3d
+ B k2 mulv3d
+ addv3d
+ 1 k1 k2 add div mulv3d
+end
+} def
+
+%% syntaxe : array isobarycentre3d --> G
+/isobarycentre3d {
+2 dict begin
+ /table exch def
+ /n table length 3 idiv def
+ table 0 getp3d
+ 1 1 n 1 sub {
+ table exch getp3d
+ addv3d
+ } for
+ 1 n div mulv3d
+end
+} def
+
+%% syntaxe : M A alpha hompoint3d -> le point M' tel que AM' = alpha AM
+/hompoint3d {
+3 dict begin
+ /alpha exch def
+ /A defpoint3d
+ /M defpoint3d
+ A M vecteur3d alpha mulv3d A addv3d
+end
+} def
+
+%% syntaxe : M A sympoint3d -> le point M' tel que AM' = -AM
+/sympoint3d {
+2 dict begin
+ /A defpoint3d
+ /M defpoint3d
+ A M vecteur3d -1 mulv3d A addv3d
+end
+} def
+
+%% syntaxe : A u translatepoint3d --> B image de A par la translation de vecteur u
+/translatepoint3d {
+ addv3d
+} def
+
+/scaleOpoint3d {
+6 dict begin
+ /k3 exch def
+ /k2 exch def
+ /k1 exch def
+ /z exch def
+ /y exch def
+ /x exch def
+ k1 x mul
+ k2 y mul
+ k3 z mul
+end
+} def
+
+% syntaxe : M alpha_x alpha_y alpha_z rotateOpoint3d --> M'
+/rotateOpoint3d {
+21 dict begin
+ /RotZ exch def
+ /RotY exch def
+ /RotX exch def
+ /Zpoint exch def
+ /Ypoint exch def
+ /Xpoint exch def
+ /c1 {RotX cos} bind def
+ /c2 {RotY cos} bind def
+ /c3 {RotZ cos} bind def
+ /s1 {RotX sin} bind def
+ /s2 {RotY sin} bind def
+ /s3 {RotZ sin} bind def
+ /M11 {c2 c3 mul} bind def
+ /M12 {c3 s1 mul s2 mul c1 s3 mul sub} bind def
+ /M13 {c1 c3 mul s2 mul s1 s3 mul add} bind def
+ /M21 {c2 s3 mul} bind def
+ /M22 {s1 s2 mul s3 mul c1 c3 mul add} bind def
+ /M23 {s3 s2 mul c1 mul c3 s1 mul sub} bind def
+ /M31 {s2 neg} bind def
+ /M32 {s1 c2 mul} bind def
+ /M33 {c1 c2 mul} bind def
+ M11 Xpoint mul M12 Ypoint mul add M13 Zpoint mul add
+ M21 Xpoint mul M22 Ypoint mul add M23 Zpoint mul add
+ M31 Xpoint mul M32 Ypoint mul add M33 Zpoint mul add
+end
+} def
+
+%%%%% ### symplan3d ###
+%% syntaxe : M eqplan/plantype symplan3d --> M'
+%% ou M' symetrique de M par rapport au plan P defini par eqplan/plantype
+/symplan3d {
+13 dict begin
+ dup isplan {
+ plan2eq /args exch def
+ } {
+ /args exch def
+ } ifelse
+ /z exch def
+ /y exch def
+ /x exch def
+ args aload pop
+ /d1 exch def
+ /c1 exch def
+ /b1 exch def
+ /a1 exch def
+ /n_U a1 dup mul b1 dup mul add c1 dup mul add sqrt def
+ /a a1 n_U div def
+ /b b1 n_U div def
+ /c c1 n_U div def
+ /d d1 n_U div def
+ /u a x mul b y mul add c z mul add d add def
+ x 2 a mul u mul sub
+ y 2 b mul u mul sub
+ z 2 c mul u mul sub
+end
+} def
+
+%%%%% ### vecteur3d ###
+%% creation du vecteur AB a partir de A et B
+/vecteur3d { %% xA yA zA xB yB zB
+6 dict begin
+ /zB exch def
+ /yB exch def
+ /xB exch def
+ /zA exch def
+ /yA exch def
+ /xA exch def
+ xB xA sub
+ yB yA sub
+ zB zA sub
+end
+}def
+
+%%%%% ### vectprod3d ###
+%% produit vectoriel de deux vecteurs 3d
+/vectprod3d { %% x1 y1 z1 x2 y2 z2
+6 dict begin
+ /zp exch def
+ /yp exch def
+ /xp exch def
+ /z exch def
+ /y exch def
+ /x exch def
+ y zp mul z yp mul sub
+ z xp mul x zp mul sub
+ x yp mul y xp mul sub
+end
+} def
+
+%%%%% ### scalprod3d ###
+%% produit scalaire de deux vecteurs 3d
+/scalprod3d { %% x1 y1 z1 x2 y2 z2
+6 dict begin
+ /zp exch def
+ /yp exch def
+ /xp exch def
+ /z exch def
+ /y exch def
+ /x exch def
+ x xp mul y yp mul add z zp mul add
+end
+} def
+
+%%%%% ### papply3d ###
+%% syntaxe : [A1 ... An] (f) papply3d --> [f(A1) ... f(An)]
+/papply3d {
+3 dict begin
+ /fonction exch def
+ /liste exch def
+ /i 0 def
+ [
+ liste length 3 idiv {
+ liste i get
+ liste i 1 add get
+ liste i 2 add get
+ fonction
+ /i i 3 add store
+ } repeat
+ counttomark
+ 0 eq
+ {pop}
+ {]}
+ ifelse
+end
+} def
+
+%%%%% ### defpoint3d ###
+%% creation du point A a partir de xA yA yB et du nom /A
+/defpoint3d { %% xA yA zA /nom
+1 dict begin
+ /memo exch def
+ [ 4 1 roll ] cvx memo exch
+end def
+}def
+
+%%%%% ### distance3d ###
+/distance3d { %% A B
+ vecteur3d norme3d
+} def
+
+%%%%% ### get3d ###
+/getp3d { %% [tableau de points 3d] i --> donne le ieme point du tableau
+ 2 copy 2 copy
+ 3 mul get
+ 5 1 roll
+ 3 mul 1 add get
+ 3 1 roll
+ 3 mul 2 add get
+} def
+
+%%%%% ### norme3d ###
+%% norme d un vecteur 3d
+/norme3d { %% x y z
+3 dict begin
+ /z exch def
+ /y exch def
+ /x exch def
+ x dup mul y dup mul add z dup mul add sqrt
+end
+} def
+
+%%%%% ### mulv3d ###
+%% (scalaire)*(vecteur 3d) Attention : dans l autre sens !
+/mulv3d { %% x y z lambda
+4 dict begin
+ /lambda exch def
+ /z exch def
+ /y exch def
+ /x exch def
+ x lambda mul
+ y lambda mul
+ z lambda mul
+end
+} def
+
+%%%%% ### addv3d ###
+%% addition de deux vecteurs 3d
+/addv3d { %% x1 y1 z1 x2 y2 z2
+6 dict begin
+ /zp exch def
+ /yp exch def
+ /xp exch def
+ /z exch def
+ /y exch def
+ /x exch def
+ x xp add
+ y yp add
+ z zp add
+end
+} def
+
+%%%%% ### milieu3d ###
+/milieu3d { %% A B --> I le milieu de [AB]
+ addv3d 0.5 mulv3d
+} def
+
+%%%%% ### exch ###
+/exchp {
+ 4 -1 roll
+ 4 -1 roll
+} def
+/exchc {
+ 6 -1 roll
+ 6 -1 roll
+ 6 -1 roll
+} def
+/exchd {
+ 4 {8 -1 roll} repeat
+} def
+/exchp3d {
+ 6 -1 roll
+ 6 -1 roll
+ 6 -1 roll
+} def
+
+%%%%% ### ABpoint3d ###
+%% syntaxe : A B k ABpoint3d --> M
+%% M tel que vect(AM) = k vect (AB)
+/ABpoint3d {
+3 dict begin
+ /k exch def
+ /B defpoint3d
+ /A defpoint3d
+ A B vecteur3d
+ k mulv3d
+ A addv3d
+end
+} def
+
+%%%%% ### angle3doriente ###
+%% syntaxe : vect1 vect2 vect3 angle3d
+%% vect3 est la normale au plan (vect1, vect2)
+/angle3doriente {
+4 dict begin
+ normalize3d /vect3 defpoint3d
+ normalize3d /vect2 defpoint3d
+ normalize3d /vect1 defpoint3d
+ /cosalpha vect1 vect2 scalprod3d def
+ /sinalpha vect1 vect2 vectprod3d vect3 scalprod3d def
+ sinalpha cosalpha atan
+end
+} def
+
+%%%%% ### points3dalignes ###
+%% syntaxe : A B C points3dalignes -> bool
+/points3dalignes {
+3 dict begin
+ /C defpoint3d
+ /B defpoint3d
+ /A defpoint3d
+ A B vecteur3d /u defpoint3d
+ A C vecteur3d /v defpoint3d
+ u v vectprod3d norme3d 1E-7 lt
+end
+} def
+
+%% syntaxe : M A B point3dsursegment --> true si M in [AB], false sinon
+/point3dsursegment {
+3 dict begin
+ /B defpoint3d
+ /A defpoint3d
+ /M defpoint3d
+ M A B points3dalignes {
+ M A vecteur3d
+ M B vecteur3d
+ scalprod3d 0 lt {
+ true
+ } {
+ false
+ } ifelse
+ } {
+ false
+ } ifelse
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% geometrie 3d (dessins) %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### point3d ###
+/point3d { %% A
+ 3dto2d point
+} def
+
+/points3d { %% tableau de points3d
+ tab3dto2d points
+} def
+
+%%%%% ### ligne3d ###
+%% [tableau de points3d] option --> trace la ligne brisee
+/ligne3d {
+1 dict begin
+ dup isstring
+ {/option exch def}
+ if
+ tab3dto2d
+ currentdict /option known
+ {option}
+ if
+ ligne
+end
+} def
+
+%% [tableau de points3d] option --> trace la ligne brisee
+/ligne3d_ {
+1 dict begin
+ dup isstring
+ {/option exch def}
+ if
+ tab3dto2d
+ currentdict /option known
+ {option}
+ if
+ ligne_
+end
+} def
+
+%%%%% ### tab3dto2d ###
+%% transforme un tableau de points 3d en tableau de points 2d
+/tab3dto2d {
+2 dict begin
+ /T exch def
+ /n T length def
+ [ T aload pop
+ n 1 sub -1 n 3 idiv 2 mul
+ { 1 dict begin
+ /i exch def
+ 3dto2d i 2 roll
+ end } for ]
+end
+} def
+
+%%%%% ### polygone3d ###
+/polygone3d { %% tableau de points3d
+ tab3dto2d polygone
+} def
+
+/polygone3d* { %% tableau de points3d
+ tab3dto2d polygone*
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% gestion du texte %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### marks ###
+/xmkstep 1 def % les marques sur Ox
+/xmarkstyle {dctext} def
+/ymarkstyle {(-1 0) bltext} def
+/setxmkstep {
+ /xmkstep exch def
+} def
+/xmark {
+ dup xtick
+ /Courier findfont .8 fontsize mul scalefont setfont
+ dup dup truncate eq {
+ cvi dup chaine cvs exch
+ } {
+ dup chaine cvs exch
+ } ifelse
+ Oy xmarkstyle
+} def
+/xmarks {
+2 dict begin
+ /n xmax xmax xmin sub 1000 div sub xmkstep div truncate cvi
+ xmkstep mul def % mark max
+ /i xmin xmkstep div truncate cvi
+ xmkstep mul def % la 1ere
+ i xmin lt {/i i xmkstep add store} if
+ {
+ i 0 ne {i xmark} if
+ /i i xmkstep abs add store
+ i n gt {exit} if
+ } loop
+end
+} def
+
+/ymkstep 1 def % les marques sur Oy
+/setymkstep {
+ /ymkstep exch def
+} def
+/ymark {
+ dup ytick
+ /Courier findfont .8 fontsize mul scalefont setfont
+ dup chaine cvs exch
+ Ox exch ymarkstyle
+} def
+/ymarks {
+2 dict begin
+ /n ymax ymax ymin sub 1000 div sub ymkstep div truncate cvi
+ ymkstep mul def % mark max
+ /i ymin ymkstep div truncate cvi
+ ymkstep mul def % la 1ere
+ {
+ i 0 ne {i ymark} if
+ /i i ymkstep abs add store
+ i n gt {exit} if
+ } loop
+end
+} def
+
+/setmkstep {
+ setymkstep
+ setxmkstep
+} def
+/marks {
+ xmarks
+ ymarks
+} def
+
+%%%%% ### setfontsize ###
+/setfontsize {
+ /fontsize exch def
+} def
+
+%%%%% ### setCourrier ###
+/Courier findfont
+dup length dict begin
+ {
+ 1 index /FID ne
+ {def}
+ {pop pop}
+ ifelse
+ } forall
+ /Encoding ISOLatin1Encoding def
+ currentdict
+end
+
+/Courier-ISOLatin1 exch definefont pop
+
+/setCourier {
+ /Courier-ISOLatin1 findfont
+ fontsize scalefont
+ setfont
+} def
+
+%%%%% ### pathtext ###
+%% syntaxe : string x y initp@thtext
+ /initp@thtext {
+7 dict begin
+ /y exch def
+ /x exch def
+ /str exch def
+ str 0 0 show_dim
+ /wy exch def
+ /wx exch def
+ /lly exch def
+ /llx exch def
+ pop pop pop
+ newpath
+ x y smoveto
+} def
+ /closep@thtext {
+ str true charpath
+end
+} def
+
+%% syntaxe : string x y cctext_
+/cctext_ {
+ initp@thtext
+ llx wx add lly wy add -.5 mulv rmoveto
+ closep@thtext
+} def
+
+/brtext_ {
+ initp@thtext
+ hadjust 0 rmoveto
+ llx neg 0 rmoveto
+ closep@thtext
+} def
+
+/bbtext_ {
+ initp@thtext
+ 0 0 rmoveto
+ 0 0 rmoveto
+ closep@thtext
+} def
+
+/bltext_ {
+ initp@thtext
+ hadjust neg 0 rmoveto
+ wx neg 0 rmoveto
+ closep@thtext
+} def
+
+/bctext_ {
+ initp@thtext
+ 0 0 rmoveto
+ wx llx add -.5 mul 0 rmoveto
+ closep@thtext
+} def
+
+/ubtext_ {
+ initp@thtext
+ 0 vadjust rmoveto
+ 0 lly neg rmoveto
+ closep@thtext
+} def
+
+/urtext_ {
+ initp@thtext
+ hadjust vadjust rmoveto
+ llx neg lly neg rmoveto
+ closep@thtext
+} def
+
+/ultext_ {
+ initp@thtext
+ hadjust neg vadjust rmoveto
+ wx neg lly neg rmoveto
+ closep@thtext
+} def
+
+/uctext_ {
+ initp@thtext
+ 0 vadjust rmoveto
+ llx wx add -.5 mul lly neg rmoveto
+ closep@thtext
+} def
+
+/drtext_ {
+ initp@thtext
+ hadjust vadjust neg rmoveto
+ llx neg wy neg rmoveto
+ closep@thtext
+} def
+
+/dbtext_ {
+ initp@thtext
+ 0 vadjust neg rmoveto
+ 0 wy neg rmoveto
+ closep@thtext
+} def
+
+/dltext_ {
+ initp@thtext
+ hadjust neg vadjust neg rmoveto
+ wx neg wy neg rmoveto
+ closep@thtext
+} def
+
+/dctext_ {
+ initp@thtext
+ 0 vadjust neg rmoveto
+ llx wx add -2 div wy neg rmoveto
+ closep@thtext
+} def
+
+/crtext_ {
+ initp@thtext
+ hadjust 0 rmoveto
+ llx neg lly wy add -2 div rmoveto
+ closep@thtext
+} def
+
+/cbtext_ {
+ initp@thtext
+ 0 0 rmoveto
+ 0 lly wy add -2 div rmoveto
+ closep@thtext
+} def
+
+/cltext_ {
+ initp@thtext
+ hadjust neg 0 rmoveto
+ wx neg lly wy add -2 div rmoveto
+ closep@thtext
+} def
+
+/cctext_ {
+ initp@thtext
+ 0 0 rmoveto
+ llx wx add lly wy add -.5 mulv rmoveto
+ closep@thtext
+} def
+
+%%%%% ### text3d ###
+%%%% Version 3d des commandes jps TEXTE
+ /pr@p@re3d {
+2 dict begin
+% /vect_echelle [1 1] def
+% /angle_de_rot {0} def
+% dup xcheck
+% {/angle_de_rot exch def}
+% if
+% dup isarray
+% {/vect_echelle exch def}
+% if% CamView vect_echelle {angle_de_rot}
+ 3dto2d
+} def
+
+/bbtext3d {
+ pr@p@re3d
+ bbtext
+end
+} def
+
+/bbtexlabel3d {
+ pr@p@re3d
+ bbtexlabel
+end
+} def
+
+/bctext3d {
+ pr@p@re3d
+ bctext
+end
+} def
+
+/bctexlabel3d {
+ pr@p@re3d
+ bctexlabel
+end
+} def
+
+/bltext3d {
+ pr@p@re3d
+ bltext
+end
+} def
+
+/bltexlabel3d {
+ pr@p@re3d
+ bltexlabel
+end
+} def
+
+/brtext3d {
+ pr@p@re3d
+ brtext
+end
+} def
+
+/brtexlabel3d {
+ pr@p@re3d
+ brtexlabel
+end
+} def
+
+/cbtext3d {
+ pr@p@re3d
+ cbtext
+end
+} def
+
+/cbtexlabel3d {
+ pr@p@re3d
+ cbtexlabel
+end
+} def
+
+/cctext3d {
+ pr@p@re3d
+ cctext
+end
+} def
+
+/cctexlabel3d {
+ pr@p@re3d
+ cctexlabel
+end
+} def
+
+/cltext3d {
+ pr@p@re3d
+ cltext
+end
+} def
+
+/cltexlabel3d {
+ pr@p@re3d
+ cltexlabel
+end
+} def
+
+/crtext3d {
+ pr@p@re3d
+ crtext
+end
+} def
+
+/crtexlabel3d {
+ pr@p@re3d
+ crtexlabel
+end
+} def
+
+/dbtext3d {
+ pr@p@re3d
+ dbtext
+end
+} def
+
+/dbtexlabel3d {
+ pr@p@re3d
+ dbtexlabel
+end
+} def
+
+/dctext3d {
+ pr@p@re3d
+ dctext
+end
+} def
+
+/dctexlabel3d {
+ pr@p@re3d
+ dctexlabel
+end
+} def
+
+/dltext3d {
+ pr@p@re3d
+ dltext
+end
+} def
+
+/dltexlabel3d {
+ pr@p@re3d
+ dltexlabel
+end
+} def
+
+/drtext3d {
+ pr@p@re3d
+ drtext
+end
+} def
+
+/drtexlabel3d {
+ pr@p@re3d
+ drtexlabel
+end
+} def
+
+/ubtext3d {
+ pr@p@re3d
+ ubtext
+end
+} def
+
+/ubtexlabel3d {
+ pr@p@re3d
+ ubtexlabel
+end
+} def
+
+/uctext3d {
+ pr@p@re3d
+ uctext
+end
+} def
+
+/uctexlabel3d {
+ pr@p@re3d
+ uctexlabel
+end
+} def
+
+/ultext3d {
+ pr@p@re3d
+ ultext
+end
+} def
+
+/ultexlabel3d {
+ pr@p@re3d
+ ultexlabel
+end
+} def
+
+/urtext3d {
+ pr@p@re3d
+ urtext
+end
+} def
+
+/urtexlabel3d {
+ pr@p@re3d
+ urtexlabel
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%% La macro provisoire de developpement (27/01/2009)
+%% syntaxe : solid table tablez --> -
+/solidcolorz {
+10 dict begin
+ %% les hauteurs
+ /tablez exch def
+ %% les couleurs
+ /usertable exch def
+ /solid exch def
+ %% a-t-on des couleurs nommees ?
+ usertable 0 get isstring {
+ %% oui, et autant que d etages
+ usertable length 1 sub tablez length eq {
+ /table usertable def
+ } {
+ %% oui, mais moins que d etages
+ %% ==> on definit les 2 premieres en RGB
+ /a0 usertable 0 get def
+ /a1 usertable 1 get def
+ /lacouleurdepart {
+ gsave
+ [a0 cvx exec] length 0 eq {
+ a0 cvx exec currentrgbcolor
+ } {
+ a0 cvx exec
+ } ifelse
+ grestore
+ } def
+ /lacouleurarrivee {
+ gsave
+ [a1 cvx exec] length 0 eq {
+ a1 cvx exec currentrgbcolor
+ } {
+ a1 cvx exec
+ } ifelse
+ grestore
+ } def
+ /usertable [lacouleurdepart lacouleurarrivee] def
+ } ifelse
+ } if
+ usertable 0 get isnum {
+ %% c est un degrade : nb de couleurs a definir
+ /n tablez length 1 add def
+%
+ usertable length 4 eq {
+ /a0 usertable 0 get def
+ /a1 usertable 1 get def
+ /A {a0 i a1 a0 sub mul n 1 sub div add} def
+ /B usertable 2 get def
+ /C usertable 3 get def
+ /D {} def
+ /espacedecouleurs (sethsbcolor) def
+ } if
+%
+ usertable length 6 eq {
+ /a0 usertable 0 get def
+ /b0 usertable 1 get def
+ /c0 usertable 2 get def
+ /a1 usertable 3 get def
+ /b1 usertable 4 get def
+ /c1 usertable 5 get def
+ /A {a0 i a1 a0 sub mul n 1 sub div add} def
+ /B {b0 i b1 b0 sub mul n 1 sub div add} def
+ /C {c0 i c1 c0 sub mul n 1 sub div add} def
+ /D {} def
+ /espacedecouleurs (setrgbcolor) def
+ } if
+%
+ usertable length 7 eq {
+ /a0 usertable 0 get def
+ /b0 usertable 1 get def
+ /c0 usertable 2 get def
+ /a1 usertable 3 get def
+ /b1 usertable 4 get def
+ /c1 usertable 5 get def
+ /A {a0 i a1 a0 sub mul n 1 sub div add} def
+ /B {b0 i b1 b0 sub mul n 1 sub div add} def
+ /C {c0 i c1 c0 sub mul n 1 sub div add} def
+ /D {} def
+ /espacedecouleurs (sethsbcolor) def
+ } if
+%
+ usertable length 8 eq {
+ /a0 usertable 0 get def
+ /b0 usertable 1 get def
+ /c0 usertable 2 get def
+ /d0 usertable 3 get def
+ /a1 usertable 4 get def
+ /b1 usertable 5 get def
+ /c1 usertable 6 get def
+ /d1 usertable 7 get def
+ /A {a0 i a1 a0 sub mul n 1 sub div add} def
+ /B {b0 i b1 b0 sub mul n 1 sub div add} def
+ /C {c0 i c1 c0 sub mul n 1 sub div add} def
+ /D {d0 i d1 d0 sub mul n 1 sub div add} def
+ /espacedecouleurs (setcmykcolor) def
+ } if
+%
+ usertable length 2 eq {
+ /a0 usertable 0 get def
+ /a1 usertable 1 get def
+ 0 1 n 1 sub {
+ /i exch def
+ /A {a0 i a1 a0 sub mul n 1 sub div add} def
+ /B {1} def
+ /C {1} def
+ /D {} def
+ /espacedecouleurs (sethsbcolor) def
+ } for
+ } if
+%
+ %% on affecte la table des couleurs
+ /table [
+ 0 1 n 1 sub {
+ /i exch def
+ [A B C D] espacedecouleurs astr2str
+ } for
+ ] def
+ } if
+%
+ /n solid solidnombrefaces def
+ 0 1 n 1 sub {
+ /i exch def
+ solid i solidcentreface /z exch def pop pop
+ /resultat 0 def
+ 0 1 tablez length 1 sub {
+ /j exch def
+ /ztest tablez j get def
+ z ztest le {
+ /resultat j store
+ exit
+ } {
+ /resultat j 1 add store
+ } ifelse
+ } for
+ solid i table resultat get solidputfcolor
+ } for
+end
+} def
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% bibliotheque sur les solides %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### solide ###
+%% solid = [Sommets Faces Colors_Faces InOut_Table]
+/solidgetsommets {
+ 0 get
+} def
+/solidgetpointstable {solidgetsommets} def
+
+/solidgetfaces {
+ 1 get
+} def
+
+/solidgetface {
+1 dict begin
+ /i exch def
+ solidgetfaces i get
+end
+} def
+
+/solidgetfcolors {
+ 2 get
+} def
+
+%% syntaxe : solid i solidgetfcolor --> str
+/solidgetfcolor {
+1 dict begin
+ /i exch def
+ solidgetfcolors i get
+end
+} def
+
+%% syntaxe : solid i str solidputfcolor --> -
+/solidputfcolor {
+2 dict begin
+ /str exch def
+ /i exch def
+ solidgetfcolors i str put
+end
+} def
+
+/solidgetinouttable {
+ 3 get
+} def
+
+/solidputsommets {
+ 0 exch put
+} def
+/solidputpointstable {solidputsommets} def
+
+/solidputfaces {
+ 1 exch put
+} def
+
+%% syntaxe : solid solidfacesreverse -> -
+/solidfacesreverse {
+5 dict begin
+ /solid exch def
+ /n solid solidnombrefaces def
+ 0 1 n 1 sub {
+ /i exch def
+ /F solid i solidgetface reverse def
+ /m F length def
+ solid i [F aload pop m 0 roll ] solidputface
+ } for
+end
+} def
+
+/solidputfcolors {
+ 2 exch put
+} def
+
+/solidputinouttable {
+ 3 exch put
+} def
+
+%% syntaxe : any issolid --> booleen, vrai si any est de type solid
+/issolid {
+1 dict begin
+ /candidat exch def
+ candidat isarray {
+ candidat length 4 eq {
+ candidat 0 get isarray
+ candidat 1 get isarray and
+ candidat 2 get isarray and
+ candidat 3 get isarray and {
+ /IO candidat 3 get def
+ IO length 4 eq
+ IO 0 get isnum and
+ IO 1 get isnum and
+ IO 2 get isnum and
+ IO 3 get isnum and
+ } {
+ false
+ } ifelse
+ } {
+ false
+ } ifelse
+ } {
+ false
+ } ifelse
+end
+} def
+
+/dupsolid {
+5 dict begin
+ /solid exch def
+ /S solid solidgetsommets def
+ /F solid solidgetfaces def
+ /FC solid solidgetfcolors def
+ /IO solid solidgetinouttable def
+ solid
+ [
+ S duparray exch pop
+ F duparray exch pop
+ FC duparray exch pop
+ IO duparray exch pop
+ ]
+end
+} def
+
+%% syntaxe : solid array solidputinfaces --> -
+/solidputinfaces {
+4 dict begin
+ /facesinternes exch def
+ /solid exch def
+ /n2 facesinternes length def
+ /IO solid solidgetinouttable def
+ /facesexternes solid solidgetoutfaces def
+ /n1 facesexternes length def
+ solid
+ [facesexternes aload pop facesinternes aload pop]
+ solidputfaces
+ IO 0 0 put
+ IO 1 n1 1 sub put
+ IO 2 n1 put
+ IO 3 n1 n2 add 1 sub put
+end
+} def
+
+%% syntaxe : solid array solidputoutfaces --> -
+/solidputoutfaces {
+4 dict begin
+ /facesexternes exch def
+ /solid exch def
+ /n1 facesexternes length def
+ /IO solid solidgetinouttable def
+ /facesinternes solid solidgetinfaces def
+ /n2 facesinternes length def
+ solid
+ [facesexternes aload pop facesinternes aload pop]
+ solidputfaces
+ IO 0 0 put
+ IO 1 n1 1 sub put
+ IO 2 n1 put
+ IO 3 n1 n2 add 1 sub put
+end
+} def
+
+/solidnombreinfaces {
+1 dict begin
+ /solid exch def
+ solid solidwithinfaces {
+ /IO solid solidgetinouttable def
+ IO 3 get IO 2 get sub 1 add
+ } {
+ 0
+ } ifelse
+end
+} def
+
+/solidnombreoutfaces {
+1 dict begin
+ /solid exch def
+ /IO solid solidgetinouttable def
+ IO 1 get IO 0 get sub 1 add
+end
+} def
+
+%% syntaxe : solid solidgetinfaces --> array
+/solidgetinfaces {
+4 dict begin
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidgetinfaces) ==
+ quit
+ } if
+ solid solidwithinfaces {
+ /IO solid solidgetinouttable def
+ /F solid solidgetfaces def
+ /n1 IO 2 get def
+ /n2 IO 3 get def
+ /n n2 n1 sub 1 add def
+ F n1 n getinterval
+ } {
+ []
+ } ifelse
+end
+} def
+
+%% syntaxe : solid solidgetoutfaces --> array
+/solidgetoutfaces {
+4 dict begin
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidgetoutfaces) ==
+ quit
+ } if
+ /IO solid solidgetinouttable def
+ /F solid solidgetfaces def
+ /n1 IO 0 get def
+ /n2 IO 1 get def
+ /n n2 n1 sub 1 add def
+ F n1 n getinterval
+end
+} def
+
+%% /tracelignedeniveau? false def
+%% /hauteurlignedeniveau 1 def
+%% /couleurlignedeniveau {rouge} def
+%% /linewidthlignedeniveau 4 def
+
+/solidgridOn {
+ /solidgrid true def
+} def
+/solidgridOff {
+ /solidgrid false def
+} def
+
+%% syntaxe : solid i string solidputfcolor
+%% syntaxe : solid str outputcolors
+%% syntaxe : solid str1 str2 inoutputcolors
+%% syntaxe : solid string n solidputncolors
+%% syntaxe : solid array solidputincolors --> -
+%% syntaxe : solid array solidputoutcolors --> -
+%% syntaxe : solid solidgetincolors --> array
+%% syntaxe : solid solidgetoutcolors --> array
+
+%% syntaxe : solid array solidputinfaces --> -
+%% syntaxe : solid array solidputoutfaces --> -
+%% syntaxe : solid solidgetinfaces --> array
+%% syntaxe : solid solidgetoutfaces --> array
+
+%% syntaxe : solid1 solid2 solidfuz -> solid
+
+%% syntaxe : solid i solidgetsommetsface -> array
+%% array = tableau de points 3d
+/solidgetsommetsface {
+1 dict begin
+ /i exch def
+ /solid exch def
+ /F solid i solidgetface def
+ [
+ 0 1 F length 1 sub {
+ /k exch def
+ solid F k get solidgetsommet
+ } for
+ ]
+end
+} def
+
+%% syntaxe : solid index table solidputface -> -
+/solidputface {
+1 dict begin
+ /table exch def
+ /i exch def
+ solidgetfaces i table put
+end
+} def
+
+%% syntaxe : solid table solidaddface -> -
+%% syntaxe : solid table (couleur) solidaddface -> -
+%% on ne se preoccupe pas des faces internes
+/solidaddface {
+6 dict begin
+ dup isstring {
+ /lac@uleur exch def
+ } {
+ /lac@uleur () def
+ } ifelse
+ /table exch def
+ /solid exch def
+ /IO solid solidgetinouttable def
+ /n2 IO 1 get def
+ /FC solid solidgetoutcolors def
+ IO 1 n2 1 add put
+ solid [ solid solidgetfaces aload pop table ] solidputfaces
+ solid IO solidputinouttable
+% solid solidnombrefaces
+ solid [
+ FC aload pop lac@uleur
+ ] solidputoutcolors
+end
+} def
+
+/solidnombrefaces {
+1 dict begin
+ /solid exch def
+ solid solidnombreinfaces
+ solid solidnombreoutfaces
+ add
+end
+} def
+
+%% syntaxe : solid M solidaddsommetexterne -> -
+%% on ajoute le sommet sans se preoccuper de rien
+/solidaddsommetexterne {
+2 dict begin
+ /M defpoint3d
+ /solid exch def
+ solid
+ [ solid solidgetsommets aload pop M ]
+ solidputsommets
+end
+} def
+
+%% syntaxe : solid array solidaddsommets -> -
+/solidaddsommets {
+2 dict begin
+ /table exch def
+ /solid exch def
+ /n table length 3 idiv def
+ 0 1 0 {
+ /i exch def
+ solid table i getp3d solidaddsommet pop
+ } for
+end
+} def
+
+%% syntaxe : solid M solidaddsommet -> k
+%% on ajoute le sommet M. Si il est deja sur une arete,
+%% on l incorpore a la face concernee
+%% s il est deja present, on ne le rajoute pas.
+%% Renvoie l indice du sommet rajoute.
+/solidaddsommet {
+10 dict begin
+ /M defpoint3d
+ /solid exch def
+ /nbf solid solidnombrefaces def
+ /N solid solidnombresommets def
+ /sortie -1 def
+ %% le sommet est-il deja dans la structure
+ 0 1 N 1 sub {
+ /i exch def
+%% (addsommet) ==
+%% solid i solidgetsommet == == ==
+%% M == == ==
+%% solid i solidgetsommet M eqp3d ==
+
+% solid i solidgetsommet M eqp3d {
+ solid i solidgetsommet M distance3d 1e-5 le {
+ %% oui => c est fini
+ /sortie i store
+ } if
+ } for
+ sortie 0 lt {
+ %% non => on le rajoute
+ /sortie N def
+ solid M solidaddsommetexterne
+ %% est il sur une arete deja codee
+ 0 1 nbf 1 sub {
+ %% face d indice i
+ /i exch def
+ solid i solidgetface /F exch def
+ /nbsf F length def
+ 0 1 nbsf 1 sub {
+ /j exch def
+ M
+ solid j i solidgetsommetface
+ solid j 1 add nbsf mod i solidgetsommetface
+ point3dsursegment {
+ %% il est sur l arete concernee
+ solid i [
+ 0 1 j {
+ /k exch def
+ F k get
+ } for
+ N
+ j 1 add nbsf mod dup 0 eq {
+ pop
+ } {
+ 1 nbsf 1 sub {
+ /k exch def
+ F k get
+ } for
+ } ifelse
+ ] solidputface
+ exit
+ } if
+ } for
+ } for
+ } if
+ sortie
+end
+} def
+
+%%%%% ### solidrmsommet ###
+%% syntaxe : solid i solidrmsommet -> -
+/solidrmsommet {
+5 dict begin
+ /i exch def
+ /solid exch def
+ solid issolid not {
+ (Erreur : mauvais type d argument dans solidrmsommet) ==
+ quit
+ } if
+ solid i solidsommetsadjsommet length 0 gt {
+ (Erreur : sommet non isole dans solidrmsommet) ==
+ quit
+ } if
+
+ %% on s occupe des sommets
+ /n solid solidnombresommets def
+ /S [
+ 0 1 n 1 sub {
+ /j exch def
+ j i ne {
+ solid j solidgetsommet
+ } if
+ } for
+ ] def
+ solid S solidputsommets
+ %% on s occupe des faces
+ /n solid solidnombrefaces def
+ /F [
+ 0 1 n 1 sub {
+ %% face d indice j
+ /j exch def
+ /Fj solid j solidgetface def
+ [0 1 Fj length 1 sub {
+ %% sommet d indice k de la face Fj
+ /k exch def
+ Fj k get dup i gt {
+ 1 sub
+ } if
+ } for]
+ } for
+ ] def
+ solid F solidputfaces
+end
+} def
+
+%%%%% ### solidsommetsadjsommet ###
+%% syntaxe : solid i solidsommetsadjsommet --> array
+%% array est le tableau des indices des sommets adjacents au
+%% sommet d indice i
+/solidsommetsadjsommet {
+6 dict begin
+ /no exch def
+ /solid exch def
+ solid no solidfacesadjsommet /facesadj exch def
+ /sommetsadj [] def
+ /nbadj facesadj length def
+ 0 1 nbadj 1 sub {
+ /j exch def
+ %% examen de la jieme face
+ %/j 0 def
+ /F solid facesadj j get solidgetface def
+ /nbsommetsface F length def
+ no F in {
+ /index exch def
+ /i1 F index 1 sub nbsommetsface modulo get def
+ /i2 F index 1 add nbsommetsface mod get def
+ %% si i1 n est pas deja note, on le rajoute
+ i1 sommetsadj in {
+ pop
+ } {
+ /sommetsadj [ sommetsadj aload pop i1 ] store
+ } ifelse
+ %% si i2 n est pas deja note, on le rajoute
+ i2 sommetsadj in {
+ pop
+ } {
+ /sommetsadj [ sommetsadj aload pop i2 ] store
+ } ifelse
+ } {
+ (Error : bug dans solidsommetsadjsommet) ==
+ quit
+ } ifelse
+ } for
+ sommetsadj
+end
+} def
+
+%%%%% ### solidfacesadjsommet ###
+%% syntaxe : solid i solidfacesadjsommet --> array
+%% array est le tableau des indices des faces adjacentes au
+%% sommet d indice i
+/solidfacesadjsommet {
+6 dict begin
+ /no exch def
+ /solid exch def
+ /n solid solidnombrefaces def
+ /indicesfacesadj [] def
+ 0 1 n 1 sub {
+ /j exch def
+ /F solid j solidgetface def
+ no F in {
+ pop
+ /indicesfacesadj [ indicesfacesadj aload pop j ] store
+ } if
+ } for
+ indicesfacesadj
+end
+} def
+
+%%%%% ### ordonnepoints3d ###
+%% syntaxe : array1 M ordonnepoints3d --> array2
+%% array1 = tableau de points 3d coplanaires (plan P)
+%% M = point3d indiquant la direction de la normale a P
+%% array2 = les indices des points de depart, ranges dans le
+%% sens trigo par rapport a la normale
+/ordonnepoints3d {
+5 dict begin
+ /M defpoint3d
+ /table exch def
+ table isobarycentre3d /G defpoint3d
+ %% calcul de la normale
+ table 0 getp3d /ptref defpoint3d
+ table 1 getp3d /A defpoint3d
+ G ptref vecteur3d
+ G A vecteur3d
+ vectprod3d /vecteurnormal defpoint3d
+ vecteurnormal G M vecteur3d scalprod3d 0 lt {
+ vecteurnormal -1 mulv3d /vecteurnormal defpoint3d
+ } if
+ %% la table des angles
+ table duparray exch pop
+ {1 dict begin
+ /M defpoint3d
+ G ptref vecteur3d
+ G M vecteur3d
+ vecteurnormal angle3doriente
+ end} papply3d
+% [0 1 table length 3 idiv 1 sub {} for]
+% exch
+ doublebubblesort pop
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%% /tracelignedeniveau? false def
+%% /hauteurlignedeniveau 1 def
+%% /couleurlignedeniveau {rouge} def
+%% /linewidthlignedeniveau 4 def
+%%
+%% /solidgrid true def
+%% /aretescachees true def
+%% /defaultsolidmode 2 def
+
+%% syntaxe : alpha beta r h newpie --> solid
+/newpie {
+6 dict begin
+ [[/resolution /nbetages] [8 1] [10 1] [12 1] [18 3] [36 5]] gestionsolidmode
+ /h exch def
+ /r exch def
+ /beta exch def
+ /alpha exch def
+ [
+ 0 0
+% alpha cos r mul alpha sin r mul
+ alpha beta {1 dict begin /t exch def t cos r mul t sin r mul end} CourbeR2+
+ ] 0 h [nbetages] newprismedroit
+end
+} def
+
+%%%%% ### newsolid ###
+%% syntaxe : newsolid --> depose le solide nul sur la pile
+/newsolid {
+ [] [] generesolid
+} def
+
+%%%%% ### generesolid ###
+/generesolid {
+2 dict begin
+ /F exch def
+ /S exch def
+ [S F [F length {()} repeat] [0 F length 1 sub -1 -1]]
+end
+} def
+
+%%%%% ### nullsolid ###
+%% syntaxe : solide nullsolid -> booleen, vrai si le solide est nul
+/nullsolid {
+1 dict begin
+ /candidat exch def
+ candidat issolid not {
+ (Error type argument dans "nullsolid") ==
+ quit
+ } if
+ candidat solidgetsommets length 0 eq {
+ true
+ } {
+ false
+ } ifelse
+end
+} def
+
+%%%%% ### solidnombreoutfaces ###
+/solidnombreoutfaces {
+4 dict begin
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidnombreoutfaces) ==
+ quit
+ } if
+ solid nullsolid {
+ 0
+ } {
+ /IO solid solidgetinouttable def
+ IO 1 get
+ IO 0 get sub
+ 1 add
+ } ifelse
+end
+} def
+
+%%%%% ### solidnombreinfaces ###
+/solidnombreinfaces {
+4 dict begin
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidnombreinfaces) ==
+ quit
+ } if
+ solid solidwithinfaces {
+ /IO solid solidgetinouttable def
+ IO 3 get
+ IO 2 get sub
+ 1 add
+ } {
+ 0
+ } ifelse
+end
+} def
+
+%%%%% ### solidtests ###
+%% syntaxe : solid solidwithinfaces --> bool, true si le solide est vide
+/solidwithinfaces {
+2 dict begin
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidwithinfaces) ==
+ quit
+ } if
+ /table solid solidgetinouttable def
+ table 2 get -1 ne {
+ true
+ } {
+ false
+ } ifelse
+end
+} def
+
+%%%%% ### solidgetsommet ###
+%% syntaxe : solid i j solidgetsommetface --> sommet i de la face j
+/solidgetsommetface {
+6 dict begin
+ /j exch def
+ /i exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidgetsommetface) ==
+ quit
+ } if
+ /table_faces solid solidgetfaces def
+ /table_sommets solid solidgetsommets def
+ /k table_faces j get i get def
+ table_sommets k getp3d
+end
+} def
+
+%% syntaxe : solid i solidgetsommetsface --> array, tableau des
+%% sommets de la face i du solide
+/solidgetsommetsface {
+6 dict begin
+ /i exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidgetsommetsface) ==
+ quit
+ } if
+ /table_faces solid solidgetfaces def
+ /table_sommets solid solidgetsommets def
+ /table_indices table_faces i get def
+ [
+ 0 1 table_indices length 1 sub {
+ /j exch def
+ table_sommets table_indices j get getp3d
+ } for
+ ]
+end
+} def
+
+%% syntaxe : solid i solidgetsommet --> sommet i du solide
+/solidgetsommet {
+3 dict begin
+ /i exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidgetsommet) ==
+ quit
+ } if
+ /table_sommets solid solidgetsommets def
+ table_sommets i getp3d
+end
+} def
+
+%%%%% ### solidcentreface ###
+%% syntaxe : solid i solidcentreface --> M
+/solidcentreface {
+ solidgetsommetsface isobarycentre3d
+} def
+
+%%%%% ### solidnombre ###
+/solidnombresommets {
+ solidgetsommets length 3 idiv
+} def
+
+/solidfacenombresommets {
+ solidgetface length
+} def
+
+/solidnombrefaces {
+ solidgetfaces length
+} def
+
+%%%%% ### solidshowsommets ###
+/solidshowsommets {
+8 dict begin
+ dup issolid not {
+ %% on a un argument
+ /option exch def
+ } if
+ /sol exch def
+ /n sol solidnombresommets def
+ /m sol solidnombrefaces def
+ currentdict /option known not {
+ /option [0 1 n 1 sub {} for] def
+ } if
+ 0 1 option length 1 sub {
+ /k exch def
+ option k get /i exch def %% indice du sommet examine
+ sol i solidgetsommet point3d
+ } for
+end
+} def
+
+%%%%% ### solidnumsommets ###
+/solidnumsep 15 def
+/solidnumsommets {
+8 dict begin
+% Font findfont 10 scalefont setfont
+ dup issolid not {
+ %% on a un argument
+ /option exch def
+ } if
+ /sol exch def
+ /n sol solidnombresommets def
+ /m sol solidnombrefaces def
+ currentdict /option known not {
+ /option [0 1 n 1 sub {} for] def
+ } if
+ /result [
+ n {false} repeat
+ ] def
+ 0 1 option length 1 sub {
+ /k exch def
+ option k get /i exch def %% indice du sommet examine
+ 0 1 m 1 sub {
+ /j exch def %% indice de la face examinee
+ i sol j solidgetface in {
+ %% le sommet i est dans la face j
+ pop
+ exit
+ } if
+ } for
+ sol i solidgetsommet /S defpoint3d
+ i ( ) cvs
+ m 0 ne {
+ %% le sommet i est dans la face j
+ sol j solidcentreface /G defpoint3d
+ G S vecteur3d normalize3d
+ solidnumsep dup ptojpoint pop
+ mulv3d
+ S addv3d
+ 3dto2d cctext
+ } {
+ S 3dto2d uctext
+ } ifelse
+ } for
+end
+} def
+
+%%%%% ### gestionsolidmode ###
+%% table = [ [vars] [mode0] [mode1] [mode2] [mode3] [mode4] ]
+/gestionsolidmode {
+5 dict begin
+ /table exch def
+ dup xcheck {
+ /mode exch def
+ } {
+ dup isarray {
+ /tableaffectation exch def
+ /mode -1 def
+ } {
+ /mode defaultsolidmode def
+ } ifelse
+ } ifelse
+ /vars table 0 get def
+ /nbvars vars length def
+ mode 0 ge {
+ /tableaffectation table mode 1 add 5 min get def
+ } if
+ 0 1 nbvars 1 sub {
+ /i exch def
+ vars i get
+ tableaffectation i get
+ } for
+ nbvars
+end
+ {def} repeat
+} def
+
+%%%%% ### solidfuz ###
+%% syntaxe : solid1 solid2 solidfuz -> solid
+/solidfuz {
+5 dict begin
+ /solid2 exch def
+ /solid1 exch def
+ /S1 solid1 solidgetsommets def
+ /S2 solid2 solidgetsommets def
+ /n S1 length 3 idiv def
+
+ %% les sommets
+ /S S1 S2 append def
+
+ %% les faces internes et leurs couleurs
+ /FI1 solid1 solidgetinfaces def
+ /FIC1 solid1 solidgetincolors def
+ solid2 solidnombreinfaces 0 eq {
+ /FI2 [] def
+ /FIC2 [] def
+ } {
+ /FI2 solid2 solidgetinfaces {{n add} apply} apply def
+ /FIC2 solid2 solidgetincolors def
+ } ifelse
+ /FI [FI1 aload pop FI2 aload pop] def
+ /FIC [FIC1 aload pop FIC2 aload pop] def
+
+ %% les faces externes et leurs couleurs
+ /FO1 solid1 solidgetoutfaces def
+ /FOC1 solid1 solidgetoutcolors def
+ /FO2 solid2 solidgetoutfaces {{n add} apply} apply def
+ /FOC2 solid2 solidgetoutcolors def
+ /FO [FO1 aload pop FO2 aload pop] def
+ /FOC [FOC1 aload pop FOC2 aload pop] def
+
+ /F [FO aload pop FI aload pop] def
+ /FC [FOC aload pop FIC aload pop] def
+ /IO [
+ 0 FO length 1 sub
+ FI length 0 gt {
+ dup 1 add dup FI length add 1 sub
+ } {
+ -1 -1
+ } ifelse
+ ] def
+
+ S F generesolid
+ dup FC solidputfcolors
+ dup IO solidputinouttable
+end
+} def
+
+%%%%% ### solidnormaleface ###
+%% syntaxe : solid i solidnormaleface --> u, vecteur normale a la
+%% face d indice i du solide
+/solidnormaleface {
+4 dict begin
+ /i exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidgetsommetface) ==
+ quit
+ } if
+%% solid 0 i solidgetsommetface /G defpoint3d
+%% G
+%% solid 1 i solidgetsommetface
+%% vecteur3d
+%% G
+%% solid 2 i solidgetsommetface
+%% vecteur3d
+%
+ /n solid i solidfacenombresommets def
+ n 3 ge {
+ [
+ solid 0 i solidgetsommetface
+ solid 1 i solidgetsommetface
+ solid 2 i solidgetsommetface
+ ] isobarycentre3d /G defpoint3d
+ } {
+ solid i solidcentreface /G defpoint3d
+ } ifelse
+ %% debug %% G 3dto2d point
+ G
+ solid 0 i solidgetsommetface
+ /A defpoint3d
+ % gsave bleu A point3d grestore
+ A
+ vecteur3d normalize3d
+ G
+ solid 1 i solidgetsommetface
+ /A defpoint3d
+ % gsave orange A point3d grestore
+ A
+ vecteur3d normalize3d
+ vectprod3d
+ /resultat defpoint3d
+ resultat normalize3d
+end
+} def
+
+%%%%% ### solidtransform ###
+%% syntaxe : solid1 {f} solidtransform --> solid2, solid2 est le
+%% transforme de solid1 par la transformation f : R^3 -> R^3
+/solidtransform {
+3 dict begin
+ /@f exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidtransform) ==
+ quit
+ } if
+ /les_sommets
+ solid solidgetsommets {@f} papply3d
+ def
+ solid les_sommets solidputsommets
+ solid
+end
+} def
+
+%%%%% ### solidputcolor ###
+%% syntaxe : solid i string solidputfcolor
+/solidputfcolor {
+3 dict begin
+ /str exch def
+ /i exch def
+ /solid exch def
+ /FC solid solidgetfcolors def
+ i FC length lt {
+ FC i str put
+ } if
+end
+} def
+
+%% syntaxe : solid solidgetincolors --> array
+/solidgetincolors {
+3 dict begin
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidgetincolors) ==
+ quit
+ } if
+ solid solidwithinfaces {
+ /fcol solid solidgetfcolors def
+ /IO solid solidgetinouttable def
+ /n1 IO 2 get def
+ /n2 IO 3 get def
+ /n n2 n1 sub 1 add def
+ fcol n1 n getinterval
+ } {
+ []
+ } ifelse
+end
+} def
+
+%% syntaxe : solid solidgetoutcolors --> array
+/solidgetoutcolors {
+3 dict begin
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidgetoutcolors) ==
+ quit
+ } if
+ /fcol solid solidgetfcolors def
+ /IO solid solidgetinouttable def
+ /n1 IO 0 get def
+ /n2 IO 1 get def
+ /n n2 n1 sub 1 add def
+ fcol n1 n getinterval
+end
+} def
+
+%% syntaxe : solid array solidputincolors --> -
+/solidputincolors {
+4 dict begin
+ /newcolorstable exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidputincolors) ==
+ quit
+ } if
+ /n newcolorstable length def
+ n solid solidnombreinfaces ne {
+ (Error : mauvaise longueur de tableau dans solidputincolors) ==
+ quit
+ } if
+ n 0 ne {
+ /FC solid solidgetfcolors def
+ /IO solid solidgetinouttable def
+ /n1 IO 2 get def
+ FC n1 newcolorstable putinterval
+ } if
+end
+} def
+
+%% syntaxe : solid array solidputoutcolors --> -
+/solidputoutcolors {
+4 dict begin
+ /newcolorstable exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidputoutcolors) ==
+ quit
+ } if
+ /n newcolorstable length def
+ n solid solidnombreoutfaces ne {
+ (Error : mauvaise longueur de tableau dans solidputoutcolors) ==
+ quit
+ } if
+ n 0 ne {
+ /FC solid solidgetfcolors def
+ /IO solid solidgetinouttable def
+ /n1 IO 0 get def
+ FC n1 newcolorstable putinterval
+ } if
+end
+} def
+
+%% syntaxe : solid str outputcolors
+/outputcolors {
+5 dict begin
+ /color exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans inoutputcolors) ==
+ quit
+ } if
+ /n solid solidnombreoutfaces def
+ solid [ n {color} repeat ] solidputoutcolors
+end
+} def
+
+%% syntaxe : solid str inputcolors
+/inputcolors {
+5 dict begin
+ /color exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans inoutputcolors) ==
+ quit
+ } if
+ /n solid solidnombreinfaces def
+ solid [ n {color} repeat ] solidputincolors
+end
+} def
+
+%% syntaxe : solid str1 str2 inoutputcolors
+/inoutputcolors {
+5 dict begin
+ /colout exch def
+ /colin exch def
+ /solid exch def
+ solid colin inputcolors
+ solid colout outputcolors
+end
+} def
+
+%% syntaxe : solid array solidputoutcolors --> -
+/solidputoutcolors {
+4 dict begin
+ /newcolorstable exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidputoutcolors) ==
+ quit
+ } if
+ /n newcolorstable length def
+ n solid solidnombreoutfaces ne {
+ (Error : mauvaise longueur de tableau dans solidputoutcolors) ==
+ quit
+ } if
+ n 0 ne {
+ /FC solid solidgetfcolors def
+ /IO solid solidgetinouttable def
+ /n1 IO 0 get def
+ FC length n n1 add lt {
+ solid newcolorstable solidputfcolors
+ } {
+ FC n1 newcolorstable putinterval
+ } ifelse
+ } if
+end
+} def
+
+/solidputcolors {
+3 dict begin
+ 2 copy pop
+ isstring {
+ inoutputcolors
+ } {
+ outputcolors
+ } ifelse
+end
+} def
+
+%%%%% ### solidputhuecolors ###
+%% syntaxe : solid table solidputhuecolors --> -
+/solidputhuecolors {
+1 dict begin
+ 2 copy pop
+ solidgetinouttable /IO exch def
+ IO 0 get
+ IO 1 get
+ s@lidputhuec@l@rs
+end
+} def
+
+/solidputinhuecolors {
+2 dict begin
+ /table exch def
+ /solid exch def
+ solid solidgetinouttable /IO exch def
+ solid solidwithinfaces {
+ solid table
+ IO 2 get
+ IO 3 get
+ s@lidputhuec@l@rs
+ } if
+end
+} def
+
+/solidputinouthuecolors {
+1 dict begin
+ 2 copy pop
+ solidgetinouttable /IO exch def
+ IO 0 get
+ IO 3 get IO 1 get max
+ s@lidputhuec@l@rs
+end
+} def
+
+%% syntaxe : solid table n1 n2 s@lidputhuec@l@rs --> -
+%% affecte les couleurs des faces d indice n1 a n2 du solid solid, par
+%% un degrade defini par la table.
+ /s@lidputhuec@l@rs {
+9 dict begin
+ /n2 exch def
+ /n1 exch def
+ /table exch def
+ /solid exch def
+ /n n2 n1 sub def
+
+ table length 2 eq {
+ /a0 table 0 get def
+ /a1 table 1 get def
+ a1 isstring {
+ /lacouleurdepart {
+ gsave
+ [a0 cvx exec] length 0 eq {
+ a0 cvx exec currentrgbcolor
+ } {
+ a0 cvx exec
+ } ifelse
+ grestore
+ } def
+ /lacouleurarrivee {
+ gsave
+ [a1 cvx exec] length 0 eq {
+ a1 cvx exec currentrgbcolor
+ } {
+ a1 cvx exec
+ } ifelse
+ grestore
+ } def
+ /table [lacouleurdepart lacouleurarrivee] def
+ } {
+ /A {a0 i a1 a0 sub mul n 1 sub div add} def
+ /B {1} def
+ /C {1} def
+ /D {} def
+ /espacedecouleurs (sethsbcolor) def
+ } ifelse
+ } if
+
+ table length 4 eq {
+ /a0 table 0 get def
+ /a1 table 1 get def
+ /A {a0 i a1 a0 sub mul n 1 sub div add} def
+ /B table 2 get def
+ /C table 3 get def
+ /D {} def
+ /espacedecouleurs (sethsbcolor) def
+ } if
+
+ table length 6 eq {
+ /a0 table 0 get def
+ /b0 table 1 get def
+ /c0 table 2 get def
+ /a1 table 3 get def
+ /b1 table 4 get def
+ /c1 table 5 get def
+ /A {a0 i a1 a0 sub mul n 1 sub div add} def
+ /B {b0 i b1 b0 sub mul n 1 sub div add} def
+ /C {c0 i c1 c0 sub mul n 1 sub div add} def
+ /D {} def
+ /espacedecouleurs (setrgbcolor) def
+ } if
+
+ table length 7 eq {
+ /a0 table 0 get def
+ /b0 table 1 get def
+ /c0 table 2 get def
+ /a1 table 3 get def
+ /b1 table 4 get def
+ /c1 table 5 get def
+ /A {a0 i a1 a0 sub mul n 1 sub div add} def
+ /B {b0 i b1 b0 sub mul n 1 sub div add} def
+ /C {c0 i c1 c0 sub mul n 1 sub div add} def
+ /D {} def
+ /espacedecouleurs (sethsbcolor) def
+ } if
+
+ table length 8 eq {
+ /a0 table 0 get def
+ /b0 table 1 get def
+ /c0 table 2 get def
+ /d0 table 3 get def
+ /a1 table 4 get def
+ /b1 table 5 get def
+ /c1 table 6 get def
+ /d1 table 7 get def
+ /A {a0 i a1 a0 sub mul n 1 sub div add} def
+ /B {b0 i b1 b0 sub mul n 1 sub div add} def
+ /C {c0 i c1 c0 sub mul n 1 sub div add} def
+ /D {d0 i d1 d0 sub mul n 1 sub div add} def
+ /espacedecouleurs (setcmykcolor) def
+ } if
+
+ n1 1 n2 {
+ /i exch def
+ solid i
+ [A B C D] espacedecouleurs astr2str
+ solidputfcolor
+ } for
+
+end
+} def
+
+%%%%% ### solidrmface ###
+%% syntaxe : solid i solidrmface -> -
+/solidrmface {
+5 dict begin
+ /i exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidrmface) ==
+ quit
+ } if
+ %% on enleve la face
+ /F solid solidgetfaces def
+ F length 1 sub i lt {
+ (Error : indice trop grand dans solidrmface) ==
+ quit
+ } if
+ [
+ 0 1 F length 1 sub {
+ /j exch def
+ i j ne {
+ F j get
+ } if
+ } for
+ ]
+ /NF exch def
+ solid NF solidputfaces
+ %% on enleve la couleur correspondante
+ /FC solid solidgetfcolors def
+ [
+ 0 1 FC length 1 sub {
+ /j exch def
+ i j ne {
+ FC j get
+ } if
+ } for
+ ]
+ /NFC exch def
+ solid NFC solidputfcolors
+ %% on ajuste la table inout
+ /IO solid solidgetinouttable def
+ solid i solidisoutface {
+ IO 1 IO 1 get 1 sub put
+ solid solidwithinfaces {
+ IO 2 IO 2 get 1 sub put
+ IO 3 IO 3 get 1 sub put
+ } if
+ } if
+ solid i solidisinface {
+ IO 1 IO 1 get 1 sub put
+ IO 2 IO 2 get 1 sub put
+ IO 3 IO 3 get 1 sub put
+ } if
+ solid IO solidputinouttable
+end
+} def
+
+%% syntaxe : solid table solidrmfaces --> -
+/solidrmfaces {
+2 dict begin
+ /table exch bubblesort reverse def
+ /solid exch def
+ table {solid exch solidrmface} apply
+end
+} def
+
+%%%%% ### videsolid ###
+%% syntaxe : solid videsolid -> -
+/videsolid {
+5 dict begin
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans videsolid) ==
+ quit
+ } if
+ solid solidwithinfaces not {
+ /IO solid solidgetinouttable def
+ /FE solid solidgetfaces def
+ /n FE length def
+ IO 2 n put
+ IO 3 2 n mul 1 sub put
+ solid IO solidputinouttable
+ %% on inverse chaque face
+ /FI FE {reverse} apply def
+ solid FE FI append solidputfaces
+ %% et on rajoute autant de couleurs vides que de faces
+ /FEC solid solidgetfcolors def
+% /FIC [FI length {()} repeat] def
+% solid FEC FIC append solidputfcolors
+ solid FEC duparray append solidputfcolors
+ } if
+end
+} def
+
+%%%%% ### solidnumfaces ###
+%% syntaxe : solid array solidnumfaces
+%% syntaxe : solid array bool solidnumfaces
+%% array, le tableau des indices des faces a numeroter, est optionnel
+%% si bool=true, on ne numerote que les faces visibles
+/solidnumfaces {
+5 dict begin
+ dup isbool {
+ /bool exch def
+ } {
+ /bool true def
+ } ifelse
+% setTimes
+ dup issolid not {
+ %% on a un argument
+ /option exch def
+ } if
+ /sol exch def
+ /n sol solidnombrefaces def
+ currentdict /option known not {
+ /option [0 1 n 1 sub {} for] def
+ } if
+
+ 0 1 option length 1 sub {
+ /i exch def
+ /j option i get def
+ j ( ) cvs sol j bool cctextp3d
+ } for
+end
+} def
+
+%%%%% ### creusesolid ###
+%% syntaxe : solid creusesolid -> -
+/creusesolid {
+5 dict begin
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans creusesolid) ==
+ quit
+ } if
+ %% on enleve le fond et le chapeau
+ solid 1 solidrmface
+ solid 0 solidrmface
+ %% on inverse chaque face
+ solid videsolid
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% dessin des solides %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### solidisinface ###
+%% syntaxe : solid i solidisinface --> bool
+%% true si i est l indice d une face interne, false sinon
+/solidisinface {
+4 dict begin
+ /i exch def
+ solidgetinouttable /IO exch def
+ /n1 IO 2 get def
+ /n2 IO 3 get def
+ n1 i le
+ i n2 le and
+end
+} def
+
+%%%%% ### solidisoutface ###
+%% syntaxe : solid i solidisoutface --> bool
+%% true si i est l indice d une face externe, false sinon
+/solidisoutface {
+4 dict begin
+ /i exch def
+ solidgetinouttable /IO exch def
+ /n1 IO 0 get def
+ /n2 IO 1 get def
+ n1 i le
+ i n2 le and
+end
+} def
+
+%%%%% ### planvisible ###
+%% syntaxe : A k planvisible? --> true si le plan est visible
+/planvisible? {
+4 dict begin
+ /normale_plan defpoint3d
+ /origine defpoint3d
+ /ligne_de_vue {
+ origine
+ GetCamPos
+ vecteur3d
+ } def
+ ligne_de_vue normale_plan scalprod3d 0 gt
+end
+} def
+
+%%%%% ### solidlight ###
+/setlightintensity {
+ /lightintensity exch def
+} def
+
+/setlightsrc {
+ /lightsrc defpoint3d
+} def
+
+/setlight {
+1 dict begin
+gsave
+ exec
+ [ currentrgbcolor ] /lightcolor exch
+grestore
+end
+def
+} def
+
+%%%%% ### drawsolid ###
+/solidlightOn {
+ /s@lidlight true def
+} def
+/solidlightOff {
+ /s@lidlight false def
+} def
+solidlightOff
+
+%% syntaxe : solid i solidfacevisible? --> true si la face est visible
+/solidfacevisible? {
+4 dict begin
+ /i exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans solidgetsommetface) ==
+ quit
+ } if
+ solid i solidgetface length 2 le {
+ true
+ } {
+ /ligne_de_vue {
+ solid i solidcentreface
+ GetCamPos
+ vecteur3d
+ } def
+
+ /normale_face {
+ solid i solidnormaleface
+ } def
+ ligne_de_vue normale_face scalprod3d 0 gt
+ } ifelse
+end
+} def
+
+%% syntaxe : solid i affectecouleursolid_facei --> si la couleur de
+%% la face i est definie, affecte fillstyle a cette couleur
+/affectecouleursolid_facei {
+3 dict begin
+ /i exch def
+ /solid exch def
+ solid solidgetfcolors /FC exch def
+ FC length 1 sub i ge {
+ FC i get length 1 ge {
+ /fillstyle FC i get ( Fill) append cvx
+ solidgrid not {
+ FC i get cvx exec
+ } if
+ true
+ } {
+ false
+ } ifelse
+ } {
+ false
+ } ifelse
+end
+{def} if
+} def
+
+%% syntaxe : solid i dessinefacecachee
+/dessinefacecachee {
+11 dict begin
+ /i exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans dessinefacecachee) ==
+ quit
+ } if
+
+ /F solid solidgetfaces def
+ /S solid solidgetsommets def
+
+ %% face cachee => on prend chacune des aretes de la face et on
+ %% la dessine
+ 4 dict begin
+ /n F i get length def %% nb de sommets de la face
+ 0 1 n 1 sub {
+ /k exch def
+ /k1 F i k get_ij def %% indice sommet1
+ /k2 F i k 1 add n mod get_ij def %% indice sommet2
+ gsave
+ currentlinewidth .5 mul setlinewidth
+ pointilles
+ [S k1 getp3d
+ S k2 getp3d sortp3d] ligne3d
+ grestore
+ } for
+
+ %% trace de la ligne de niveau
+ solidintersectiontype 0 ge {
+ /face_a_dessiner [ %% face visible : F [i]
+ 0 1 n 1 sub {
+ /j exch def
+ solid j i solidgetsommetface
+ } for
+ ] def
+ 0 1 solidintersectionplan length 1 sub {
+ /k exch def
+ /lignedeniveau [] def
+ gsave
+ solidintersectiontype 0 eq {
+ pointilles
+ } {
+ continu
+ } ifelse
+ k solidintersectionlinewidth length lt {
+ solidintersectionlinewidth k get setlinewidth
+ } {
+ solidintersectionlinewidth 0 get setlinewidth
+ } ifelse
+ k solidintersectioncolor length lt {
+ solidintersectioncolor k get cvx exec
+ } {
+ solidintersectioncolor 0 get cvx exec
+ } ifelse
+ 0 1 n 1 sub {
+ /j exch def
+ face_a_dessiner j getp3d
+ face_a_dessiner j 1 add n mod getp3d
+ solidintersectionplan k get
+ dup isarray {
+ segment_inter_plan
+ } {
+ segment_inter_planz
+ } ifelse {
+ 1 dict begin
+ /table exch def
+ table length 6 eq {
+ /lignedeniveau table store
+ exit
+ } {
+ /lignedeniveau [
+ lignedeniveau aload pop
+ table 0 getp3d
+ ] store
+ } ifelse
+ end
+ } if
+ } for
+
+ %% dessin de la ligne
+ lignedeniveau length 4 ge {
+ [lignedeniveau aload pop sortp3d] ligne3d
+ } if
+ grestore
+ } for
+ } if
+
+ end
+end
+} def
+
+%% syntaxe : solid i dessinefacevisible
+/dessinefacevisible {
+8 dict begin
+ /i exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans dessinefacevisible) ==
+ quit
+ } if
+ /F solid solidgetfaces def
+ /S solid solidgetsommets def
+
+ /n F i get length def %% nb de sommets de la face
+
+ startest {
+ s@lidlight {
+ /coeff
+ lightintensity
+ solid i solidnormaleface normalize3d
+ solid i solidcentreface lightsrc vecteur3d normalize3d
+ scalprod3d mul
+ 0 max 1 min
+ def
+ /lightcolor where {
+ pop
+ /lacouleur lightcolor def
+ } {
+ /lacouleur [
+ gsave
+ solid solidgetfcolors i get cvx exec currentrgbcolor
+ grestore
+ ] def
+ } ifelse
+ /fillstyle {
+ lacouleur {coeff mul} apply setcolor Fill
+ } def
+ solidgrid not {
+ lacouleur {coeff mul} apply setcolor
+ } if
+ } {
+ n 2 eq {
+ 1 dict begin
+ solidgridOff
+ solid i affectecouleursolid_facei
+ end
+ } {
+ solid i affectecouleursolid_facei
+ } ifelse
+ } ifelse
+ } if
+
+ /face_a_dessiner [ %% face visible : F [i]
+ 0 1 n 1 sub {
+ /j exch def
+ solid j i solidgetsommetface
+ } for
+ ] def
+ face_a_dessiner polygone3d
+
+ %% trace de la ligne de niveau
+ solidintersectiontype 0 ge {
+ 0 1 solidintersectionplan length 1 sub {
+ /k exch def
+ /lignedeniveau [] def
+ gsave
+ k solidintersectionlinewidth length lt {
+ solidintersectionlinewidth k get setlinewidth
+ } {
+ solidintersectionlinewidth 0 get setlinewidth
+ } ifelse
+ k solidintersectioncolor length lt {
+ solidintersectioncolor k get cvx exec
+ } {
+ solidintersectioncolor 0 get cvx exec
+ } ifelse
+ 0 1 n 1 sub {
+ /j exch def
+ face_a_dessiner j getp3d
+ face_a_dessiner j 1 add n mod getp3d
+ solidintersectionplan k get
+ dup isarray {
+ segment_inter_plan
+ } {
+ segment_inter_planz
+ } ifelse {
+ 1 dict begin
+ /table exch def
+ /lignedeniveau [
+ lignedeniveau aload pop
+ table 0 getp3d
+ table length 4 ge {
+ table 1 getp3d
+ } if
+ ] store
+ end
+ } if
+ } for
+
+ %% dessin de la ligne
+ lignedeniveau length 4 ge {
+ solid i solidisinface solidintersectiontype 0 eq and {
+ pointilles
+ } if
+ lignedeniveau ligne3d
+ } if
+ grestore
+ } for
+ } if
+
+end
+} def
+
+/drawsolid* {
+1 dict begin
+ /startest {true} def
+ drawsolid
+end
+} def
+
+/peintrealgorithme false def
+
+/drawsolid** {
+2 dict begin
+ /aretescachees false def
+ /peintrealgorithme true def
+ drawsolid*
+end
+} def
+
+%% syntaxe : solid array drawsolid
+%% array est en option, il indique les faces triees
+/drawsolid {
+8 dict begin
+ dup issolid not {
+ /ordre exch def
+ } if
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans drawsolid) ==
+ quit
+ } if
+ solid nullsolid not {
+ solid solidgetfaces
+ /F exch def
+ solid solidgetsommets
+ /S exch def
+ /n S length 3 idiv def
+
+ currentdict /ordre known not {
+ peintrealgorithme {
+ %% tri des indices des faces par distance decroissante
+ [
+ 0 1 F length 1 sub {
+ /i exch def
+ solid i solidcentreface
+ GetCamPos
+ distance3d
+ } for
+ ] doublequicksort pop reverse
+ } {
+ [
+ 0 1 F length 1 sub {
+ } for
+ ]
+ } ifelse
+ /ordre exch def
+ } if
+
+ 0 1 F length 1 sub {
+ /k exch def
+ /i ordre k get def
+ gsave
+ solid i solidfacevisible? {
+ solid i dessinefacevisible
+ } if
+ grestore
+ } for
+ aretescachees {
+ 0 1 F length 1 sub {
+ /k exch def
+ /i ordre k get def
+ gsave
+ solid i solidfacevisible? not {
+ solid i dessinefacecachee
+ } if
+ grestore
+ } for
+ } if
+
+%% %% si on veut repasser les traits des faces visibles
+%% 0 1 F length 1 sub {
+%% /k exch def
+%% /i ordre k get def
+%% gsave
+%% 1 dict begin
+%% /startest false def
+%% solid i solidfacevisible? {
+%% solid i dessinefacevisible
+%% } if
+%% end
+%% grestore
+%% } for
+ } if
+end
+} def
+
+%%%%% ### segment_inter_planz ###
+%% syntaxe : A B k segment_inter_planz --> array true ou false
+/segment_inter_planz {
+4 dict begin
+ /k exch def
+ /B defpoint3d
+ /A defpoint3d
+ A /zA exch def pop pop
+ B /zB exch def pop pop
+ zA k sub zB k sub mul dup 0 gt {
+ %% pas d intersection
+ pop
+ false
+ } {
+ 0 eq {
+ %% intersection en A ou en B
+ [
+ zA k eq {A} if
+ zB k eq {B} if
+ ] true
+ } {
+ %% intersection entre A et B
+ [
+ A B vecteur3d
+ k zA sub zB zA sub div mulv3d
+ A addv3d
+ ] true
+ } ifelse
+ } ifelse
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% plans affines %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### planaffine ###
+%% plan : origine, base, range, ngrid
+%% [0 0 0 [1 0 0 0 1 0] [-3 3 -2 2] [1. 1.] ]
+
+/explan [0 0 0 [1 0 0 0 1 0 0 0 1] [-3 3 -2 2] [1. 1.] ] def
+
+%% syntaxe : any isplan --> bool
+/isplan {
+1 dict begin
+ /candidat exch def
+ candidat isarray {
+ candidat length 6 eq {
+ candidat 3 get isarray {
+ candidat 4 get isarray {
+ candidat 5 get isarray
+ } {
+ false
+ } ifelse
+ } {
+ false
+ } ifelse
+ } {
+ false
+ } ifelse
+ } {
+ false
+ } ifelse
+end
+} def
+
+/newplanaffine {
+ [0 0 0 [1 0 0 0 1 0] [-3 3 -2 2] [1 1]]
+} def
+
+/dupplan {
+4 dict begin
+ /leplan exch def
+ /result newplanaffine def
+ result leplan plangetorigine planputorigine
+ result leplan plangetbase planputbase
+ result leplan plangetrange planputrange
+ result leplan plangetngrid planputngrid
+ result
+end
+} def
+
+%% syntaxe : plantype getorigine --> x y z
+/plangetorigine {
+1 dict begin
+ /plan exch def
+ plan isplan not {
+ (Erreur : mauvais type d argument dans plangetorigine) ==
+ Error
+ } if
+ plan 0 get
+ plan 1 get
+ plan 2 get
+end
+} def
+
+%% syntaxe : plantype getbase --> [u v]
+%% ou u, v et w vecteurs de R^3
+/plangetbase {
+1 dict begin
+ /plan exch def
+ plan isplan not {
+ (Erreur : mauvais type d argument dans plangetbase) ==
+ Error
+ } if
+ plan 3 get
+end
+} def
+
+%% syntaxe : plantype getrange --> array
+%% ou array = [xmin xmax ymin ymax]
+/plangetrange {
+1 dict begin
+ /plan exch def
+ plan isplan not {
+ (Erreur : mauvais type d argument dans plangetrange) ==
+ Error
+ } if
+ plan 4 get
+end
+} def
+
+%% syntaxe : plantype getngrid --> array
+%% ou array = [n1 n2]
+/plangetngrid {
+1 dict begin
+ /plan exch def
+ plan isplan not {
+ (Erreur : mauvais type d argument dans plangetngrid) ==
+ Error
+ } if
+ plan 5 get
+end
+} def
+
+%% ===================
+
+%% syntaxe : plantype x y z putorigine --> -
+/planputorigine {
+4 dict begin
+ /z exch def
+ /y exch def
+ /x exch def
+ /plan exch def
+ plan isplan not {
+ (Erreur : mauvais type d argument dans planputorigine) ==
+ Error
+ } if
+ plan 0 x put
+ plan 1 y put
+ plan 2 z put
+end
+} def
+
+%% syntaxe : plantype [u v w] putbase --> -
+%% ou u, v et w vecteurs de R^3
+/planputbase {
+2 dict begin
+ /base exch def
+ /plan exch def
+ plan isplan not {
+ (Erreur : mauvais type d argument dans planputbase) ==
+ Error
+ } if
+ plan 3 base put
+end
+} def
+
+%% syntaxe : plantype array putrange --> -
+%% ou array = [xmin xmax ymin ymax]
+/planputrange {
+2 dict begin
+ /table exch def
+ /plan exch def
+ plan isplan not {
+ (Erreur : mauvais type d argument dans planputrange) ==
+ Error
+ } if
+ plan 4 table put
+end
+} def
+
+%% syntaxe : plantype array putngrid --> -
+%% ou array = [n1 n2]
+/planputngrid {
+2 dict begin
+ /table exch def
+ /plan exch def
+ plan isplan not {
+ (Erreur : mauvais type d argument dans planputngrid) ==
+ quit
+ } if
+ plan 5 table put
+end
+} def
+
+%% -3 3 -2 2 1. 1. newgrille
+%% drawsolid
+
+%orange
+
+%% plan : origine, base, range, ngrid
+
+%% syntaxe : plantype drawplanaffine --> -
+/drawplanaffine {
+5 dict begin
+ /plan exch def
+ plan plangetbase
+ aload pop
+ /imK defpoint3d
+ /imJ defpoint3d
+ /imI defpoint3d
+ newpath
+ plan plangetrange plan plangetngrid aload pop quadrillagexOy_
+ plan plangetorigine [imI imK] false planprojpath
+ Stroke
+end
+} def
+
+
+%% %% syntaxe : [a b c d] (x0 y0 z0) alpha defeqplanaffine --> plantype
+%% %% plan defini par l equation ax+by+cz+d=0,
+%% %% rotation de alpha autour de la normale (alpha est optionnel)
+%% %% origine (x0, y0, z0). l origine est optionnelle
+%% /defeqplanaffine {
+%% 5 dict begin
+%% dup isarray {
+%% /alpha 0 def
+%% } {
+%% dup isstring {
+%% /alpha 0 def
+%% } {
+%% /alpha exch def
+%% } ifelse
+%% } ifelse
+%% dup isstring {
+%% cvx /origine exch def
+%% } if
+%% /table exch def
+%% table length 4 ne {
+%% (Erreur : mauvais type d argument dans defeqplanaffine) ==
+%% Error
+%% } if
+%% table 0 get /a exch def
+%% table 1 get /b exch def
+%% table 2 get /c exch def
+%% table 3 get /d exch def
+%% /resultat newplanaffine def
+%% [a b c alpha] normalvect_to_orthobase
+%% /imK defpoint3d
+%% /imJ defpoint3d
+%% /imI defpoint3d
+%% resultat [imI imJ imK] planputbase
+%% currentdict /origine known {
+%% origine /z exch def /y exch def /x exch def
+%% a x mul b y mul add c z mul add d add 0 ne {
+%% (Erreur : mauvaise origine dans defeqplanaffine) ==
+%% Error
+%% } if
+%% resultat origine planputorigine
+%% } {
+%% c 0 ne {
+%% resultat 0 0 d neg c div planputorigine
+%% } {
+%% a 0 ne {
+%% resultat d neg a div 0 0 planputorigine
+%% } {
+%% resultat 0 d neg b div 0 planputorigine
+%% } ifelse
+%% } ifelse
+%% } ifelse
+%% resultat
+%% end
+%% } def
+
+%% /explan [0 0 0 [1 0 0 0 1 0 0 0 1] [-3 3 -2 2] [1 1] ] def
+%% explan drawplanaffine
+%% noir
+%% /explan [0 0 2 [1 0 0 0 1 0 0 0 1] [-3 3 -2 2] [1 .5] ] def
+%% explan drawplanaffine
+
+%% orange
+%% [0 0 1 -2] defeqplanaffine
+%% drawplanaffine
+%% noir
+%% [0 0 1 0] defeqplanaffine
+%% drawplanaffine
+%% bleu
+%% [1 1 1 0] (1 -1 0) defeqplanaffine
+%% drawplanaffine
+%%
+
+/dessinebase {
+4 dict begin
+gsave
+ /V3 defpoint3d
+ /V2 defpoint3d
+ /V1 defpoint3d
+ /M0 defpoint3d
+ rouge
+ V3 newvecteur
+ {M0 translatepoint3d} solidtransform
+ drawsolid**
+ bleu
+ V2 newvecteur
+ {M0 translatepoint3d} solidtransform
+ drawsolid**
+ orange
+ V1 newvecteur
+ {M0 translatepoint3d} solidtransform
+ drawsolid**
+grestore
+end
+} def
+
+%% syntaxe : solid i solidface2eqplan --> [a b c d]
+%% equation cartesienne de la face d'indice i du solide solid
+/solidface2eqplan {
+8 dict begin
+ /i exch def
+ /solid exch def
+ solid i solidnormaleface
+ /c exch def
+ /b exch def
+ /a exch def
+ solid 0 i solidgetsommetface
+ /z exch def
+ /y exch def
+ /x exch def
+ [a b c a x mul b y mul add c z mul add neg]
+end
+} def
+
+
+%% syntaxe : plantype newplan --> solid
+/newplan {
+5 dict begin
+ /lepl@n exch def
+ lepl@n plangetbase /@base exch def
+ @base 0 getp3d /@U defpoint3d
+ @base 1 getp3d /@V defpoint3d
+ lepl@n plangetorigine /@M defpoint3d
+ lepl@n plangetrange /@range exch def
+ lepl@n plangetngrid /@ngrid exch def
+ /@F {
+ 2 dict begin
+ /@y exch def
+ /@x exch def
+ @U @x mulv3d
+ @V @y mulv3d
+ addv3d
+ @M addv3d
+ end
+ } def
+ @range aload pop @ngrid {@F} newsurfaceparametree
+end
+} def
+
+%% syntaxe : M eqplan --> real
+%% image de M par la fonction definie par l equation eqplan
+/pointeqplan {
+8 dict begin
+ /eqplan exch def
+ /@z exch def
+ /@y exch def
+ /@x exch def
+ /@a eqplan 0 get def
+ /@b eqplan 1 get def
+ /@c eqplan 2 get def
+ /@d eqplan 3 get def
+ @a @x mul @b @y mul add @c @z mul add @d add
+end
+} def
+
+/plan2eq {
+6 dict begin
+ /leplan exch def
+ leplan plangetbase aload pop vectprod3d
+ /c exch def
+ /b exch def
+ /a exch def
+ leplan plangetorigine
+ /z0 exch def
+ /y0 exch def
+ /x0 exch def
+ [a b c a x0 mul b y0 mul add c z0 mul add neg]
+end
+} def
+
+%% syntaxe : [a b c d] (x0 y0 z0) alpha defeqplanaffine --> plantype
+%% plan defini par l equation ax+by+cz+d=0,
+%% rotation de alpha autour de la normale (alpha est optionnel)
+%% origine (x0, y0, z0). l origine est optionnelle
+/eq2plan {
+5 dict begin
+ dup isarray {
+ /alpha 0 def
+ } {
+ dup isstring {
+ /alpha 0 def
+ } {
+ /alpha exch def
+ } ifelse
+ } ifelse
+ dup isstring {
+ cvx /origine exch def
+ } if
+ /table exch def
+ table length 4 ne {
+ (Erreur : mauvais type d argument dans eq2plan) ==
+ quit
+ } if
+ table 0 get /a exch def
+ table 1 get /b exch def
+ table 2 get /c exch def
+ table 3 get /d exch def
+ /resultat newplanaffine def
+ [a b c alpha] normalvect_to_orthobase
+ /imK defpoint3d
+ /imJ defpoint3d
+ /imI defpoint3d
+ resultat [imI imJ] planputbase
+ currentdict /origine known {
+ origine /z exch def /y exch def /x exch def
+ a x mul b y mul add c z mul add d add 0 ne {
+ (Erreur : mauvaise origine dans eq2plan) ==
+ quit
+ } if
+ resultat origine planputorigine
+ } {
+ c 0 ne {
+ resultat 0 0 d neg c div planputorigine
+ } {
+ a 0 ne {
+ resultat d neg a div 0 0 planputorigine
+ } {
+ b 0 ne {
+ resultat 0 d neg b div 0 planputorigine
+ } {
+ (Error dans eq2plan : (a,b,c) = (0,0,0)) ==
+ } ifelse
+ } ifelse
+ } ifelse
+ } ifelse
+ resultat
+end
+} def
+
+/points2eqplan {
+10 dict begin
+ /C defpoint3d
+ /B defpoint3d
+ /A defpoint3d
+ A B vecteur3d
+ A C vecteur3d
+ vectprod3d
+ normalize3d
+ /c exch def
+ /b exch def
+ /a exch def
+ A
+ /zA exch def
+ /yA exch def
+ /xA exch def
+ [a b c a xA mul b yA mul add c zA mul add neg]
+end
+} def
+
+%% /monplan
+%% %[0 0 -2 [1 0 0 0 1 0 0 0 1] [-3 3 -2 2] [1. 1.]]
+%% [0 0 1 1] 30 eq2plan
+%% def
+%%
+%% [0 0 1 -2] eq2plan newplan
+%% dup (blanc) outputcolors
+%% monplan newplan
+%% dup (blanc) outputcolors
+%% solidfuz
+%% drawsolid**
+%% monplan plangetorigine
+%% monplan plangetbase aload pop dessinebase
+
+%% syntaxe : x0 y0 z0 [normalvect] norm2plan
+/norm2plan {
+9 dict begin
+ normalvect_to_orthobase
+ /imK defpoint3d
+ /imJ defpoint3d
+ /imI defpoint3d
+ imK
+ /c exch def
+ /b exch def
+ /a exch def
+ /z0 exch def
+ /y0 exch def
+ /x0 exch def
+ [a b c a x0 mul b y0 mul add c z0 mul add neg] eq2plan
+ dup x0 y0 z0 planputorigine
+ dup [imI imJ] planputbase
+end
+} def
+
+%% syntaxe : plantype planxmarks
+/planxmarks {
+5 dict begin
+ dup isbool {
+ /mybool exch def
+ } {
+ /mybool true def
+ } ifelse
+ /leplan exch def
+ leplan plangetrange aload pop
+ /ymax exch def
+ /ymin exch def
+ /xmax exch def
+ /xmin exch def
+ newpath
+ xmin truncate cvi 0 smoveto
+ xmax truncate cvi 0 slineto
+ leplan mybool projpath
+ Stroke
+ xmin truncate cvi xmkstep xmax truncate cvi {
+ dup 0 ne {
+ /x exch def
+ x
+ x x truncate eq {
+ cvi
+ } if
+ dup chaine cvs exch 0 leplan mybool dctextp3d
+ newpath
+ x 0 smoveto
+ 0 2.5 rmoveto
+ 0 -5 rlineto
+ leplan mybool projpath
+ Stroke
+ } {
+ pop (0) 0 0 leplan mybool dltextp3d
+ } ifelse
+ } for
+end
+} def
+
+%% syntaxe : plantype planymarks
+/planymarks {
+5 dict begin
+ dup isbool {
+ /mybool exch def
+ } {
+ /mybool true def
+ } ifelse
+ /leplan exch def
+ leplan plangetrange aload pop
+ /ymax exch def
+ /ymin exch def
+ /xmax exch def
+ /xmin exch def
+ newpath
+ 0 ymin truncate cvi smoveto
+ 0 ymax truncate cvi slineto
+ leplan mybool projpath
+ Stroke
+ ymin truncate cvi ymkstep ymax truncate cvi {
+ dup 0 ne {
+ /y exch def
+ y
+ y y truncate eq {
+ cvi
+ } if
+ dup chaine cvs exch 0 exch leplan mybool cltextp3d
+ newpath
+ 0 y smoveto
+ 2.5 0 rmoveto
+ -5 0 rlineto
+ leplan mybool projpath
+ Stroke
+ } {
+ pop (0) 0 0 leplan mybool dltextp3d
+ } ifelse
+ } for
+end
+} def
+
+%% syntaxe : plantype planmarks
+/planmarks {
+1 dict begin
+ dup isbool {
+ /mybool exch def
+ } {
+ /mybool true def
+ } ifelse
+ dup mybool planxmarks mybool planymarks
+end
+} def
+
+%% bleu
+%% [-3 3 -2 2] quadrillagexOy_
+%% Stroke
+%% noir
+
+%% syntaxe : [xmin xmax ymin ymax] dx dy quadrillagexOy_
+/quadrillagexOy_ {
+4 dict begin
+ dup isarray {
+ /dx 1 def
+ /dy 1 def
+ } {
+ /dy exch def
+ dup isarray {
+ /dx dy def
+ } {
+ /dx exch def
+ } ifelse
+ } ifelse
+ /table exch def
+ table 0 get /xmin exch def
+ table 1 get /xmax exch def
+ table 2 get /ymin exch def
+ table 3 get /ymax exch def
+ ymin dy ymax {
+ /y exch def
+ xmin y smoveto
+ xmax y slineto
+ } for
+ xmin dx xmax {
+ /x exch def
+ x ymin smoveto
+ x ymax slineto
+ } for
+end
+} def
+
+%% syntaxe : plan [ngrid] planquadrillage
+/planquadrillage {
+4 dict begin
+ dup isbool {
+ /mybool exch def
+ } {
+ /mybool true def
+ } ifelse
+ dup isplan {
+ /ngrid [1 1] def
+ } {
+ /ngrid exch def
+ } ifelse
+ /leplan exch def
+ /dx ngrid 0 get def
+ /dy ngrid 1 get def
+ /table leplan plangetrange def
+ table 0 get cvi truncate /xmin exch def
+ table 1 get cvi truncate /xmax exch def
+ table 2 get cvi truncate /ymin exch def
+ table 3 get cvi truncate /ymax exch def
+ newpath
+ ymin dy ymax {
+ /y exch def
+ xmin y smoveto
+ xmax y slineto
+ } for
+ xmin dx xmax {
+ /x exch def
+ x ymin smoveto
+ x ymax slineto
+ } for
+ leplan mybool projpath
+ Stroke
+end
+} def
+
+%% syntaxe : plantype str1 str2 planshowbase -> -
+%% syntaxe : plantype str2 planshowbase -> -
+%% syntaxe : plantype planshowbase -> -
+/planshowbase {
+3 dict begin
+ dup isbool {
+ /mybool exch def
+ } {
+ /mybool true def
+ } ifelse
+ dup isstring {
+ /couleur2 exch def
+ dup isstring {
+ /couleur1 exch def
+ } {
+ /couleur1 (rouge) def
+ } ifelse
+ } {
+ /couleur1 (rouge) def
+ /couleur2 (vert) def
+ } ifelse
+ mybool bprojscene
+ couleur1 cvx exec
+ newpath
+ 0 0 smoveto
+ 1 0 slineto
+ Stroke
+ 0 0 1 0 oldarrow
+ couleur2 cvx exec
+ newpath
+ 0 0 smoveto
+ 0 1 slineto
+ Stroke
+ 0 0 0 1 oldarrow
+ eprojscene
+end
+} def
+
+%% syntaxe : plantype str1 str2 str3 planshowbase3d -> -
+%% syntaxe : plantype str2 str3 planshowbase3d -> -
+%% syntaxe : plantype str3 planshowbase3d -> -
+%% syntaxe : plantype planshowbase3d -> -
+%% syntaxe : plantype str1 str2 str3 array planshowbase3d -> -
+%% syntaxe : plantype str2 str3 array planshowbase3d -> -
+%% syntaxe : plantype str3 array planshowbase3d -> -
+%% syntaxe : plantype array planshowbase3d -> -
+/planshowbase3d {
+7 dict begin
+ dup isbool {
+ /mybool exch def
+ } {
+ /mybool true def
+ } ifelse
+ dup dup isarray exch isplan not and {
+ /table exch def
+ } {
+ /table {} def
+ } ifelse
+ dup isstring {
+ /couleur3 exch def
+ dup isstring {
+ /couleur2 exch def
+ dup isstring {
+ /couleur1 exch def
+ } {
+ /couleur1 (rouge) def
+ } ifelse
+ } {
+ /couleur2 (vert) def
+ /couleur1 (rouge) def
+ } ifelse
+ } {
+ /couleur1 (rouge) def
+ /couleur2 (vert) def
+ /couleur3 (bleu) def
+ } ifelse
+ /plan exch def
+ plan couleur1 couleur2 mybool planshowbase
+ plan plangetorigine /I defpoint3d
+ plan plangetbase
+ dup 0 getp3d /u defpoint3d
+ 1 getp3d /v defpoint3d
+ u v vectprod3d table newvecteur
+ {I addv3d} solidtransform
+ dup couleur3 solidputcolors
+ solidgridOff
+ drawsolid**
+end
+} def
+
+%% syntaxe : plantype x y z plantranslate --> -
+/plantranslate {
+4 dict begin
+ /M defpoint3d
+ /plan exch def
+ plan isplan not {
+ (Erreur : mauvais type d argument dans plantranslate) ==
+ quit
+ } if
+ plan plan plangetorigine M addv3d planputorigine
+end
+} def
+
+% syntaxe : alpha_x alpha_y alpha_z rotateOpplan --> -
+/rotateOplan {
+4 dict begin
+ /Rxyz defpoint3d
+ /plan exch def
+ plan isplan not {
+ (Erreur : mauvais type d argument dans rotateOplan) ==
+ quit
+ } if
+ plan plan plangetorigine Rxyz rotateOpoint3d planputorigine
+
+ plan plangetbase 0 getp3d /U defpoint3d
+ plan plangetbase 1 getp3d /V defpoint3d
+ plan [
+ U Rxyz rotateOpoint3d
+ V Rxyz rotateOpoint3d
+ ] planputbase
+end
+} def
+
+%% syntaxe : plantype phi rotateplan --> -
+/rotateplan {
+5 dict begin
+ /phi exch def
+ /leplan exch def
+ leplan plangetbase 0 getp3d /U defpoint3d
+ leplan plangetbase 1 getp3d /V defpoint3d
+ U phi cos mulv3d
+ V phi sin mulv3d addv3d /U0 defpoint3d
+ U phi sin neg mulv3d
+ V phi cos mulv3d addv3d /V0 defpoint3d
+ leplan [U0 V0] planputbase
+end
+} def
+
+%% syntaxe : solid i solidface2plan --> plantype
+%% syntaxe : solid i I solidface2plan --> plantype
+/solidface2plan {
+5 dict begin
+ 2 copy pop issolid {
+ /i exch def
+ /solid exch def
+ solid i solidcentreface /I defpoint3d
+ } {
+ /I defpoint3d
+ /i exch def
+ /solid exch def
+ } ifelse
+ /result newplanaffine def
+ solid i solidcentreface /G defpoint3d
+ solid i solidnormaleface /K defpoint3d
+ solid 0 i solidgetsommetface
+ solid 1 i solidgetsommetface
+ milieu3d /A defpoint3d
+ G A vecteur3d normalize3d /U defpoint3d
+ K U vectprod3d /V defpoint3d
+ result [U V] planputbase
+ result I planputorigine
+ result
+end
+} def
+
+%%%%% ### fin insertion ###
+%% syntaxe : x y plantype pointplan --> X Y Z
+/pointplan {
+5 dict begin
+ /leplan exch def
+ /y exch def
+ /x exch def
+ leplan plangetbase 0 getp3d /U defpoint3d
+ leplan plangetbase 1 getp3d /V defpoint3d
+ U x mulv3d V y mulv3d addv3d
+end
+} def
+
+%%%%% ### fin insertion ###
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% operations sur des solides particuliers %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+/piedist {
+4 dict begin
+ /mypie exch def
+ mypie 0 solidgetface length /n exch def
+ mypie n 2 idiv solidgetsommet /A defpoint3d
+ mypie n 2 idiv 1 add solidgetsommet /B defpoint3d
+ A B milieu3d GetCamPos distance3d
+end
+} def
+
+/sortpieset {
+5 dict begin
+ dup issolid {
+ ]
+ } if
+ /table exch def
+ [
+ 0 1 table length 1 sub {
+ /i exch def
+ table i get piedist
+ } for
+ ]
+ doublequicksort pop reverse
+ /result exch def
+ [
+ 0 1 result length 1 sub {
+ /i exch def
+ table result i get get
+ } for
+ ]
+end
+} def
+
+/drawpieset {
+1 dict begin
+ /startest true def
+ sortpieset dup {drawsolid**} apply {0 dessinefacevisible} apply
+end
+} def
+
+%%%%% ### solidchanfreine ###
+%% syntaxe : solid coeff solidchanfreine --> solid
+/solidchanfreine {
+10 dict begin
+ /coeff exch def
+ /solid exch def
+ /result newsolid def
+ solid issolid not {
+ (Erreur : mauvais type d argument dans solidchanfreine) ==
+ quit
+ } if
+ /n solid solidnombresommets def
+ /nf solid solidnombrefaces def
+
+ %% ajout des faces reduites
+ 0 1 nf 1 sub {
+ /i exch def
+ /Fsommets solid i solidgetsommetsface def
+ /Findex solid i solidgetface def
+ /ns Fsommets length 3 idiv def
+ /couleurfaceorigine solid i solidgetfcolor def
+ Fsommets isobarycentre3d /G defpoint3d
+ %% on ajoute les nouveaux sommets
+ /Sindex [] def
+ 0 1 ns 1 sub {
+ /j exch def
+ /Sindex [ Sindex aload pop
+ Fsommets j getp3d /M defpoint3d
+ result M G coeff hompoint3d solidaddsommet
+ ] store
+ } for
+ %% Sindex contient les indices des nouveaux sommets
+ result Sindex couleurfaceorigine solidaddface
+ } for
+
+ %% ajout des faces rectangulaires entre faces d'origines adjacentes
+ %% pour chaque face de depart
+ 0 1 nf 2 sub {
+ /i exch def
+ /F solid i solidgetface def
+ /couleurfaceorigine solid i solidgetfcolor def
+ /Fres result i solidgetface def
+ %% pour chaque arete de la face
+ 0 1 F length 1 sub {
+ /j exch def
+ /trouve false def
+ /indice1 F j get def
+ /indice2 F j 1 add F length mod get def
+ /a1 j def
+ /a2 j 1 add F length mod def
+ %% on regarde toutes les autres faces
+ i 1 add 1 nf 1 sub {
+ /k exch def
+ /Ftest solid k solidgetface def
+ indice1 Ftest in {pop true} {false} ifelse
+ indice2 Ftest in {pop true} {false} ifelse
+ and {
+ /indiceFadj k def
+ indice1 Ftest in pop /k1 exch def
+ indice2 Ftest in pop /k2 exch def
+ /trouve true def
+ exit
+ } if
+ } for
+ trouve {
+ /Fadj solid indiceFadj solidgetface def
+ result [
+ Fres a1 get
+ result indiceFadj solidgetface k1 get
+ result indiceFadj solidgetface k2 get
+ Fres a2 get
+ ] couleurfaceorigine solidaddface
+ } if
+ } for
+ } for
+
+ %% pour chaque face
+ 0 1 nf 2 sub {
+ /i exch def
+ /F solid i solidgetface def
+ /couleurfaceorigine solid i solidgetfcolor def
+ %% et pour chaque sommet de cette face
+ 0 1 F length 1 sub {
+ /j exch def
+ /k F j get def
+ solid k solidfacesadjsommet /adj exch def
+ %% adj est le tableau des indices des faces adjacentes
+ %% au sommet d'indice k
+ %% rque : toutes les faces d'indice strict inferieur a i
+ %% sont deja traitees
+ %% Pour chaque face adjacente, on repere l'indice du sommet concerne dans
+ %% la face
+ adj min i lt not {
+ /indadj [] def
+ 0 1 adj length 1 sub {
+ /m exch def
+ k solid adj m get solidgetface in {
+ /ok exch def
+ /indadj [indadj aload pop ok] store
+ } if
+ } for
+
+ /aajouter [
+ 0 1 adj length 1 sub {
+ /m exch def
+ result adj m get solidgetface indadj m get get
+ } for
+ ] def
+
+ %% la table des sommets
+ [0 1 aajouter length 1 sub {
+ /m exch def
+ result aajouter m get solidgetsommet
+ } for]
+ solid k solidgetsommet %% le point indiquant la direction de la normale
+ ordonnepoints3d
+ /indicestries exch def
+
+ result [
+ 0 1 indicestries length 1 sub {
+ /m exch def
+ aajouter indicestries m get get
+ } for
+ ] couleurfaceorigine solidaddface
+ } if
+ } for
+ } for
+
+ result
+end
+} def
+
+%%%%% ### solidplansection ###
+%% syntaxe : M eqplan --> real
+%% image de M par la fonction definie par l equation eqplan
+/pointeqplan {
+8 dict begin
+ /@qplan exch def
+ /@z exch def
+ /@y exch def
+ /@x exch def
+ /@a @qplan 0 get def
+ /@b @qplan 1 get def
+ /@c @qplan 2 get def
+ /@d @qplan 3 get def
+ @a @x mul @b @y mul add @c @z mul add @d add
+end
+} def
+
+%% syntaxe : A B eqplan segment_inter_plan --> array true ou false
+%% array contient 1 point M si [AB] inter plan = {M}
+%% array contient les 2 points A et B si [AB] inter plan = [AB]
+/segment_inter_plan {
+4 dict begin
+ dup isplan {plan2eq} if
+ /plan exch def
+ plan aload pop
+ /d exch def
+ /c exch def
+ /b exch def
+ /a exch def
+ /B defpoint3d
+ /A defpoint3d
+ A
+ /zA exch def
+ /yA exch def
+ /xA exch def
+ B
+ /zB exch def
+ /yB exch def
+ /xB exch def
+ /imA a xA mul b yA mul add c zA mul add d add def
+ /imB a xB mul b yB mul add c zB mul add d add def
+ imA imB mul dup 0 gt {
+ %% pas d intersection
+ pop
+ false
+ } {
+ 0 eq {
+ %% intersection en A ou en B
+ [
+ imA 0 eq {A} if
+ imB 0 eq {B} if
+ ] true
+ } {
+ %% intersection entre A et B
+ /k
+ imA neg
+ xB xA sub a mul
+ yB yA sub b mul add
+ zB zA sub c mul add
+ dup 0 eq {
+ (Error dans segment_inter_plan) ==
+ quit
+ } if
+ div
+ def
+ [
+ A B vecteur3d
+ k mulv3d
+ A addv3d
+ ] true
+ } ifelse
+ } ifelse
+end
+} def
+
+%% syntaxe : solid i solidface2eqplan --> [a b c d]
+%% equation cartesienne de la face d'indice i du solide solid
+/solidface2eqplan {
+8 dict begin
+ /i exch def
+ /solid exch def
+ solid i solidnormaleface
+ /c exch def
+ /b exch def
+ /a exch def
+ solid 0 i solidgetsommetface
+ /z exch def
+ /y exch def
+ /x exch def
+ [a b c a x mul b y mul add c z mul add neg]
+end
+} def
+
+%% syntaxe : array1 arrayrmdouble --> array2
+%% remplace 2 elts identiques consecutifs par 1 elt
+/arrayrmdouble {
+5 dict begin
+ /table exch def
+ /result [table 0 get] def
+ /j 0 def
+ 1 1 table length 1 sub {
+ /i exch def
+ table i get
+ result j get
+ eq not {
+ /result [result aload pop table i get] store
+ /j j 1 add store
+ } if
+ } for
+ result
+end
+} def
+
+%% syntaxe : solid eqplan/plantype solidplansection --> solid2
+/solidplansection {
+10 dict begin
+ dup isbool {
+ /tr@nsmit exch def
+ } {
+ /tr@nsmit false def
+ } ifelse
+ dup isplan {
+ plan2eqplan
+ /eqplan exch def
+ } {
+ /eqplan exch def
+ } ifelse
+ dupsolid /result exch def
+ /solid exch def
+ /aenlever [] def
+ /indnouveauxsommets [] def
+ /nouvellesaretes [] def
+
+ %% pour chaque face d'indice i
+ 0 1 solid solidnombrefaces 1 sub {
+ /i exch def
+ /lacouleur solid i solidgetfcolor def
+ /F solid i solidgetface def %% table des indices des sommets
+ /n F length def %% nb d'aretes
+ /k1 -1 def
+ /k2 -1 def
+ /k3 -1 def
+ /k4 -1 def
+ /k3a -3 def
+ /k4a -3 def
+ %% pour chaque arete [AB]
+ 0 1 n 1 sub {
+ /j exch def
+ %% arete testee : [j, j+1 mod n] (indices relatifs a la face i)
+ solid j i solidgetsommetface /A defpoint3d
+ solid j 1 add n mod i solidgetsommetface /B defpoint3d
+ %% y a-t-il intersection
+ A B eqplan segment_inter_plan {
+ %% il y a intersection
+ dup length 6 eq {
+ %% l'intersection, c'est [AB]
+ /k1 -1 def
+ /k2 -1 def
+ /k3 -1 def
+ /k4 -1 def
+ /k3a -1 def
+ /k4a -1 def
+ dup 0 getp3d /A defpoint3d
+ 1 getp3d /B defpoint3d
+ result A solidaddsommet /a1 exch def
+ result B solidaddsommet /a2 exch def
+ /indnouveauxsommets [
+ indnouveauxsommets aload pop a1 a2
+ ] store
+ /nouvellesaretes [
+ [a1 a2]
+ nouvellesaretes aload pop
+ ] store
+ exit %% c est deja scinde
+ } if
+ %% il y a intersection <> [AB]
+ k1 0 lt {
+ %% 1ere intersection de la face
+ /k1 j def %% sommet precedent intersection 1
+ result exch aload pop solidaddsommet
+ /k1a exch def %% sommet intersection 1
+ } {
+ k2 0 lt {
+ %% 2eme intersection de la face
+ /k2 j def %% sommet precedent intersection 2
+ result exch aload pop solidaddsommet
+ /k2a exch def %% sommet intersection 2
+ } {
+ k3 0 lt {
+ %% 3eme intersection de la face
+ /k3 j def %% sommet precedent intersection 3
+ result exch aload pop solidaddsommet
+ /k3a exch def %% sommet intersection 3
+ } {
+ %% 4eme intersection de la face
+ /k4 j def %% sommet precedent intersection 4
+ result exch aload pop solidaddsommet
+ /k4a exch def %% sommet intersection 4
+ } ifelse
+ } ifelse
+ } ifelse
+ } if
+ } for
+
+ %% y a-t-il eu une coupe ?
+ %% si oui, il faut scinder la face d'indice i en cours
+ k1 0 ge {
+%% (coupe) ==
+%% (n) == n ==
+%% k1 == k2 == k3 == k4 ==
+%% (a) ==
+%% k1a == k2a == k3a == k4a ==
+ k1a k2a eq k3 0 lt and {
+ %% 1 pt d'intersection
+ } {
+ %% il y a coupe, on cherche a eliminer les
+ %% doublons dans {k1a, k2a, k3a, k4a}
+ k1a k2a eq k3 0 ge and {
+ %% 2 pts d'intersection
+ /k2a k3a def
+ /k2 k3 def
+ } if
+ k1a k3a eq k4 0 ge and {
+ %% 2 pts d'intersection
+ /k2a k4a def
+ /k2 k4 def
+ } if
+ /nouvellesaretes [
+ [k1a k2a]
+ nouvellesaretes aload pop
+ ] store
+ [
+ k1a F k1 1 add n mod get ne {
+ k1a
+ } if
+ k1 1 add n mod 1 k2 {F exch get} for
+ k2a F k2 get ne {
+ k2a
+ } if
+ ]
+ result exch lacouleur solidaddface
+ /indnouveauxsommets [indnouveauxsommets aload pop k1a k2a] store
+ [
+ k2a F k2 1 add n mod get ne {
+ k2a
+ } if
+ k2 1 add n ne {
+ k2 1 add n mod 1 n 1 sub {F exch get} for
+ } if
+ 0 1 k1 {F exch get} for
+ k1a F k1 get ne {
+ k1a
+ } if
+ ]
+ result exch lacouleur solidaddface
+ /aenlever [aenlever aload pop i] store
+ } ifelse
+ } if
+ } for
+ result aenlever solidrmfaces
+
+ nouvellesaretes separe_composantes
+ /composantes exch def
+
+ %% pour chacune des composantes
+ 0 1 composantes length 1 sub {
+ %% on oriente et on ajoute la face
+ /icomp exch def
+ %indnouveauxsommets bubblesort arrayrmdouble
+ /indnouveauxsommets composantes icomp get def
+ %% maintenant, on ajoute la face de plan de coupe
+ /nouveauxsommets [
+ 0 1 indnouveauxsommets length 1 sub {
+ /i exch def
+ result indnouveauxsommets i get solidgetsommet
+ } for
+ ] def
+
+ 0 0 0 eqplan pointeqplan 0 eq {
+ /ptref {0 1 1} def
+ } {
+ /ptref {0 0 0} def
+ } ifelse
+
+ %% restera a traiter le cas limite ou la nouvelle face existe deja
+ %% tester si max(indicestries) < nb sommets avant section
+ nouveauxsommets ptref ordonnepoints3d
+ /indicestries exch def
+ /nvelleface [
+ 0 1 indicestries length 1 sub {
+ /m exch def
+ indnouveauxsommets indicestries m get get
+ } for
+ ] def
+ /F result solidgetfaces def
+ /FC result solidgetfcolors def
+ /IO result solidgetinouttable def
+ /n1 IO 1 get def
+ IO 1 n1 1 add put
+ result IO solidputinouttable
+ result [nvelleface F aload pop] solidputfaces
+ result [lacouleur FC aload pop] solidputfcolors
+ } for
+ result
+ tr@nsmit {
+ composantes length
+ } if
+end
+} def
+
+%% syntaxe : elt array compteoccurences
+%% ou array est un tableau du type [ [a1 a2] [b1 b2] [c1 c2] ... ]
+/compteoccurences {
+5 dict begin
+ /table exch def
+ /elt exch def
+ /n 0 def
+ 0 1 table length 1 sub {
+ /i exch def
+ elt table i get in {
+ pop
+ /n n 1 add store
+ } if
+ } for
+ n
+end
+} def
+
+/separe_composantes {
+10 dict begin
+ /result [] def %% les composantes deja faites
+ /table exch def %% ce qui reste a faire
+
+% (recu) == table {==} apply
+ {
+ /ext1 table 0 get 1 get def
+ /ext0 table 0 get 0 get def
+ /composante [] def
+
+ { %% maintenant on suit les extremites et on epluche une composante
+ /change false def
+ /aenlever [] def
+ 0 1 table length 1 sub {
+ /i exch def
+ ext1 table i get In
+ ext0 table i get In or {
+ /aenlever [aenlever aload pop i] store
+ /change true store
+ %% l'arete i contient l'extremite ext0 ou ext1
+ ext0 table i get in {
+ %% index = 0 ou 1
+ neg 1 add table i get exch get
+ /ext0 exch store
+ ext0 composante In not {
+ /composante [composante aload pop ext0] store
+ } if
+ %% on verifie que ext0 est legitime
+ ext0 table compteoccurences 2 gt {
+ /ext0 -1 store
+ } if
+ } if
+ ext1 table i get in {
+ %% index = 0 ou 1
+ neg 1 add table i get exch get
+ /ext1 exch store
+ ext1 composante In not {
+ /composante [composante aload pop ext1] store
+ } if
+ %% on verifie que ext1 est legitime
+ ext1 table compteoccurences 2 gt {
+ /ext1 -1 store
+ } if
+ } if
+ } if
+ } for
+ %% il faut reconstruire table
+ /table [
+ 0 1 table length 1 sub {
+ /i exch def
+ i aenlever in {
+ pop
+ } {
+ table i get
+ } ifelse
+ } for
+ ] store
+ change not {exit} if
+ } loop
+ %% on vient de finir une composante
+ /result [result aload pop composante] store
+ %% (nouvelle comp) == composante {==} apply
+ table length 0 eq {exit} if
+ } loop
+ result
+% (renvoie) == result {==} apply
+end
+} def
+
+/solideqplansepare {solidplansepare} def
+
+%% syntaxe : solid eqplan/plantype solidplansepare --> solid1 solid2
+/solidplansepare {
+10 dict begin
+ dup isplan {
+ plan2eq
+ /eqplan exch def
+ } {
+ /eqplan exch def
+ } ifelse
+ eqplan true solidplansection
+ /nbcomposantes exch def
+ /solid exch def
+ /n solid solidnombrefaces def
+
+ /F [] def
+ /FC [] def
+ %% on retire les faces de coupe
+ 0 1 nbcomposantes 1 sub {
+ /i exch def
+ /F [F aload pop solid i solidgetface] store
+ /FC [FC aload pop solid i solidgetfcolor] store
+ } for
+ solid [0 1 nbcomposantes 1 sub {} for] solidrmfaces
+ /n n nbcomposantes sub store
+
+ %% on separe les autres faces en 2 parties
+ /lesneg [] def %% indices des faces "positives"
+ /lespos [] def %% indices des faces negatives"
+ 0 1 n 1 sub {
+ /i exch def
+ solid i solidcentreface /G defpoint3d
+ G eqplan pointeqplan dup 0 gt {
+ pop
+ /lespos [lespos aload pop i] store
+ } {
+ 0 lt {
+ /lesneg [lesneg aload pop i] store
+ } {
+% /lesneg [lesneg aload pop i] store
+% /lespos [lespos aload pop i] store
+ } ifelse
+ } ifelse
+ } for
+ solid
+ dupsolid dup lesneg solidrmfaces
+ /result1 exch def
+ dupsolid dup lespos solidrmfaces
+ /result2 exch def
+ pop
+
+ 0 1 nbcomposantes 1 sub {
+ /i exch def
+ /facecoupe F i get def
+ /couleurfacecoupe FC i get def
+ /lesfaces1 result1 solidgetfaces def
+ /lescouleurs1 result1 solidgetfcolors def
+ /IO1 result1 solidgetinouttable def
+ /lesfaces2 result2 solidgetfaces def
+ /lescouleurs2 result2 solidgetfcolors def
+ /IO2 result2 solidgetinouttable def
+ %% on rajoute maintenant la face du plan de coupe
+% result1 facecoupe couleurfacecoupe solidaddface
+ result1 [facecoupe lesfaces1 aload pop] solidputfaces
+ result1 [couleurfacecoupe lescouleurs1 aload pop] solidputfcolors
+ result1 IO1 dup dup 1 get 1 add 1 exch put solidputinouttable
+ %% et on verifie l'orientation
+% result1 dup solidnombrefaces 1 sub solidnormaleface
+% result1 dup solidnombrefaces 1 sub solidcentreface addv3d
+ result1 0 solidnormaleface
+ result1 0 solidcentreface addv3d
+ eqplan pointeqplan 0 gt {
+ %% l'orientation est mauvaise
+ result1 0 solidrmface
+ result2 [facecoupe lesfaces2 aload pop] solidputfaces
+ result2 [couleurfacecoupe lescouleurs2 aload pop] solidputfcolors
+ result2 IO2 dup dup 1 get 1 add 1 exch put solidputinouttable
+ result1 [facecoupe reverse lesfaces1 aload pop] solidputfaces
+ result1 [couleurfacecoupe lescouleurs1 aload pop] solidputfcolors
+ result1 dup solidgetinouttable dup dup 1 get 1 add 1 exch put solidputinouttable
+ } {
+ %% l'orientation est ok
+ result2 IO2 dup dup 1 get 1 add 1 exch put solidputinouttable
+ result2 [facecoupe reverse lesfaces2 aload pop] solidputfaces
+ result2 [couleurfacecoupe lescouleurs2 aload pop] solidputfcolors
+ } ifelse
+ } for
+
+ %% maintenant on enleve les sommets isoles
+ /sommetspos [] def
+ /sommetsneg [] def
+ %% pour chaque face du cote negatif
+ 0 1 lesneg length 1 sub {
+ lesneg exch get /i exch def
+ /F solid i solidgetface def
+ %% pour chaque sommet de cette face
+ 0 1 F length 1 sub {
+ /j exch def
+ /sommet F j get def
+ %% si le sommet n'est pas encore note
+ sommet sommetsneg in not {
+ %% et s'il est isole, on peut l'enlever
+ result1 sommet solidsommetsadjsommet length 0 eq {
+ /sommetsneg [sommetsneg aload pop sommet] store
+ } if
+ } {
+ pop
+ } ifelse
+ } for
+ } for
+ sommetsneg bubblesort reverse {result1 exch solidrmsommet} apply
+
+ %% pour chaque face du cote positif
+ 0 1 lespos length 1 sub {
+ lespos exch get /i exch def
+ /F solid i solidgetface def
+ %% pour chaque sommet de cette face
+ 0 1 F length 1 sub {
+ /j exch def
+ /sommet F j get def
+ %% si le sommet n'est pas encore note
+ sommet sommetspos in not {
+ %% et s'il est isole, on peut l'enlever
+ result2 sommet solidsommetsadjsommet length 0 eq {
+ /sommetspos [sommetspos aload pop sommet] store
+ } if
+ } {
+ pop
+ } ifelse
+ } for
+ } for
+ sommetspos bubblesort reverse {result2 exch solidrmsommet} apply
+
+ result1 result2
+end
+} def
+
+%%%%% ### solidaffine ###
+%% syntaxe : solid coeff i solidaffine -> -
+%% syntaxe : solid coeff array solidaffine -> -
+%% syntaxe : solid coeff solidaffine -> -
+%% syntaxe : solid coeff str solidaffine -> -
+%% syntaxe : solid coeff bool solidaffine -> -
+/solidaffine {
+10 dict begin
+ dup isbool {
+ /rmfacecentrale exch def
+ } {
+ /rmfacecentrale true def
+ } ifelse
+ dup isstring {
+ /couleurface exch def
+ } if
+ 2 copy pop issolid {
+ %% 2 arguments --> on affine tout
+ 2 copy pop solidnombrefaces /n exch def
+ /table [n 1 sub -1 0 {} for] def
+ } {
+ %% 1 tableau --> il donne les faces a enlever
+ dup isarray {
+ /table exch bubblesort reverse def
+ } {
+ %% 1 seule face a enlever
+ [ exch ] /table exch def
+ } ifelse
+ } ifelse
+ /coeff exch def
+ /solid exch def
+ 0 1 table length 1 sub {
+ /i exch def
+ solid coeff table i get
+ currentdict /couleurface known {
+ couleurface
+ } if
+ rmfacecentrale s@lidaffineface
+ } for
+end
+} def
+
+%% syntaxe : solid coeff i s@lidaffineface
+ /s@lidaffineface {
+10 dict begin
+ /rmfacecentrale exch def
+ dup isstring {
+ /couleurface exch def
+ } if
+ /indice_a_chamfreiner exch def
+ /i indice_a_chamfreiner def
+ /coeff exch def
+ /solid exch def
+ solid issolid not {
+ (Erreur : mauvais type d argument dans affine) ==
+ quit
+ } if
+ /n solid solidnombresommets def
+ /F solid i solidgetsommetsface def
+ /Findex solid i solidgetface def
+ /ni F length 3 idiv def
+ /couleurfaceorigine solid i solidgetfcolor def
+ F isobarycentre3d /G defpoint3d
+ %% on ajoute les nouveaux sommets
+ /Sindex [] def
+ 0 1 ni 1 sub {
+ /j exch def
+ /Sindex [ Sindex aload pop
+ solid G F j getp3d vecteur3d coeff mulv3d G addv3d solidaddsommet
+ ] store
+ } for
+ %% Sindex contient les indices des nouveaux sommets
+ %% on prepare les faces a ajouter
+ /facestoadd [] def
+ /facestoadd [facestoadd aload pop
+ 0 1 ni 1 sub {
+ /j exch def
+ [Findex j get
+ Findex j 1 add ni mod get
+ Sindex j 1 add ni mod get
+ Sindex j get]
+ } for
+ ] store
+ 0 1 ni 1 sub {
+ /i exch def
+ solid facestoadd i get solidaddface
+ } for
+ %% on enleve la face d origine
+ solid indice_a_chamfreiner solidrmface
+ %% on ajuste les couleurs des nouvelles faces
+ /N solid solidnombrefaces def
+ 0 1 ni 1 sub {
+ /i exch def
+ solid N 1 sub i sub couleurfaceorigine solidputfcolor
+ } for
+ %% puis on ajoute eventuellement la face centrale
+ rmfacecentrale not {
+ solid
+ [0 1 ni 1 sub {
+ /j exch def
+ Sindex j get
+ } for]
+ solidaddface
+ %% en ajustant la couleur de cette derniere
+ solid N
+ currentdict /couleurface known {
+ couleurface
+ } {
+ couleurfaceorigine
+ } ifelse
+ solidputfcolor
+ } if
+end
+} def
+
+%%%%% ### solidtronque ###
+%% syntaxe : solid indicesommet k solidtronque --> solid
+%% syntaxe : solid array k solidtronque --> solid
+%% syntaxe : solid k solidtronque --> solid
+%% k entier > 0, array = tableau des indices des sommets
+/solidtronque {
+10 dict begin
+ /coeff exch def
+ dup issolid {
+ dup solidnombresommets /N exch def
+ /table [0 1 N 1 sub {} for] def
+ } {
+ dup isarray {
+ /table exch def
+ } {
+ [ exch ] /table exch def
+ } ifelse
+ } ifelse
+ /solid exch def
+ solid dupsolid /result exch def pop
+ /n solid solidnombrefaces def
+ 0 1 table length 1 sub {
+ table exch get /no exch def
+ result no solidgetsommet /sommetvise defpoint3d
+ %% on recup les sommets adjacents au sommet vise
+ /sommetsadj solid no solidsommetsadjsommet def
+ %% on calcule les nouveaux sommets
+ /nouveauxsommets [
+ 0 1 sommetsadj length 1 sub {
+ /i exch def
+ solid sommetsadj i get solidgetsommet
+ } for
+ ] {sommetvise exchp3d coeff ABpoint3d} papply3d def
+ %% on pose G = barycentre de ces points
+ nouveauxsommets isobarycentre3d /G defpoint3d
+ %% il faut ordonner ces sommets
+ nouveauxsommets 0 getp3d /ptref defpoint3d
+ G result no solidgetsommet vecteur3d /vecteurnormal defpoint3d
+ %% on construit le tableau des angles ordonnes par rapport
+ %% a la normale
+ nouveauxsommets duparray exch pop
+ {1 dict begin
+ /M defpoint3d
+ G ptref vecteur3d
+ G M vecteur3d
+ vecteurnormal angle3doriente
+ end} papply3d
+ doublebubblesort pop
+ %% nos sommets sont tries
+ /indicesommetstries exch def
+ %% on rajoute les sommets au solide, et on note les nouveaux indices
+ /nouveauxindices [
+ 0 1 nouveauxsommets length 3 idiv 1 sub {
+ /k exch def
+ result nouveauxsommets k getp3d solidaddsommet
+ } for
+ ] def
+ %% on ajoute la face concernee
+ result [
+ 0 1 indicesommetstries length 1 sub {
+ /k exch def
+ nouveauxindices indicesommetstries k get get
+ } for
+ ] solidaddface
+ result no solidfacesadjsommet /lesfaces exch def
+ %% on examine la face d indice i, et on elimine le
+ %% sommet vise
+ 0 1 lesfaces length 1 sub {
+ /i exch def
+ /j lesfaces i get def
+ /F result j solidgetface def
+ result [
+ 0 1 F length 1 sub {
+ /k exch def
+ F k get dup no eq {pop} if
+ } for
+ ] j exch solidputface
+ } for
+ } for
+ table bubblesort reverse {result exch solidrmsommet} apply
+ result
+end
+} def
+
+%%%%% ### dualpolyedre ###
+%% syntaxe : solid dualpolyedreregulier --> solid
+%% syntaxe : solid r dualpolyedreregulier --> solid
+%% si le nombre r est present, projette les nouveaux sommets sur la sphere de centre O , de rayon r
+/dualpolyedreregulier {
+20 dict begin
+ dup isnum {
+ /r exch def
+ /projection true def
+ } {
+ /projection false def
+ } ifelse
+ /solid exch def
+ solid dupsolid /result exch def pop
+ /n solid solidnombrefaces def
+ /N solid solidnombresommets def
+ /facesaenlever [] def
+ %% pour chacun des sommets
+ 0 1 N 1 sub {
+ %% sommet d indice i
+ /i exch def
+ %% indicesfacesadj = liste des indices des faces ou on trouve le sommet i
+ /indicesfacesadj solid i solidfacesadjsommet def
+ %% on recupere les centres des faces concernees
+ /nouveauxsommets [
+ 0 1 indicesfacesadj length 1 sub {
+ /k exch def
+ solid indicesfacesadj k get solidgetsommetsface isobarycentre3d
+ } for
+ ] def
+ %% et on pose G = barycentre de ces points
+ nouveauxsommets isobarycentre3d /G defpoint3d
+ %% il faut ordonner ces sommets
+ nouveauxsommets 0 getp3d /ptref defpoint3d
+ G solid i solidgetsommet vecteur3d /vecteurnormal defpoint3d
+ nouveauxsommets duparray exch pop
+ {1 dict begin
+ /M defpoint3d
+ G ptref vecteur3d
+ G M vecteur3d
+ vecteurnormal angle3doriente
+ end} papply3d
+ doublebubblesort pop
+ %% nos sommets sont tries
+ /indicesommetstries exch def
+ projection {
+ %% on projette les sommets sur la sphere
+ /nouveauxsommets [ nouveauxsommets {normalize3d r mulv3d} papply3d aload pop ] store
+ } if
+ %% puis on les rajoute au solide
+ /nouveauxindices [
+ 0 1 nouveauxsommets length 3 idiv 1 sub {
+ /k exch def
+ result nouveauxsommets k getp3d solidaddsommet
+ } for
+ ] def
+ %% ainsi que la face concernee
+ result [
+ 0 1 indicesommetstries length 1 sub {
+ /k exch def
+ nouveauxindices indicesommetstries k get get
+ } for
+ ] solidaddface
+ /facesaenlever [ facesaenlever aload pop indicesfacesadj aload pop ] store
+ } for
+ result [0 1 n 1 sub {} for] solidrmfaces
+ [N 1 sub -1 0 {} for] {result exch solidrmsommet} apply
+ result
+end
+} def
+
+%%%%% ### newgeode ###
+%% syntaxe : solid r newgeode --> solid
+%% syntaxe : N r newgeode --> solid
+%% N in {3,4,5} -> polyhedre de depart, r = niveau de recursion
+/newgeode {
+2 dict begin
+ /r exch def
+ dup issolid not {
+ /N exch def
+ N 3 eq {
+ 1 newtetraedre
+ } {
+ N 4 eq {
+ 1 newoctaedre
+ } {
+ 1 newicosaedre
+ } ifelse
+ } ifelse
+ } if
+
+ r {
+ 15 dict begin
+ /solid exch def
+ solid dupsolid /result exch def pop
+ /n solid solidnombrefaces def
+ n 1 sub -1 0 {
+ /i exch def
+ %% la face d indice i
+ solid i solidgetface /F exch def
+ /i0 F 0 get def
+ /i1 F 1 get def
+ /i2 F 2 get def
+ solid i0 solidgetsommet /A0 defpoint3d
+ solid i1 solidgetsommet /A1 defpoint3d
+ solid i2 solidgetsommet /A2 defpoint3d
+ A0 A1 milieu3d normalize3d /A01 defpoint3d
+ A1 A2 milieu3d normalize3d /A12 defpoint3d
+ A2 A0 milieu3d normalize3d /A20 defpoint3d
+ result A01 solidaddsommet /i01 exch def
+ result A12 solidaddsommet /i12 exch def
+ result A20 solidaddsommet /i20 exch def
+ result i solidrmface
+ result [i0 i01 i20] solidaddface
+ result [i01 i1 i12] solidaddface
+ result [i01 i12 i20] solidaddface
+ result [i20 i12 i2] solidaddface
+ } for
+ result
+ end
+ } repeat
+end
+} def
+
+%% syntaxe : N r newdualgeode --> solid
+/newdualgeode {
+ newgeode 1
+ dualpolyedreregulier
+} def
+
+%%%%% ### fin insertion ###
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% quelques solides precalcules %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%% ### newface ###
+%% syntaxe : array newmonoface -> solid
+%% ou array = tableau de points 2d
+/newmonoface {
+4 dict begin
+ /table exch def
+ /n table length 2 idiv def
+ /S table {0} papply def
+
+ /F [
+ [0 1 n 1 sub {} for]
+ ] def
+ S F generesolid
+end
+} def
+
+%% syntaxe : array newbiface -> solid
+%% ou array = tableau de points 2d
+/newbiface {
+ newmonoface
+ dup videsolid
+} def
+
+%%%%% ### newpolreg ###
+%% syntaxe : r n newpolreg --> solid
+/newpolreg {
+5 dict begin
+ /n exch def
+ /r exch def
+ /S [
+ 0 360 n div 360 360 n div sub {
+ /theta exch def
+ theta cos r mul
+ theta sin r mul
+ 0
+ } for
+ ] def
+ /F [
+ [0 1 n 1 sub {} for]
+ ] def
+
+ S F generesolid
+ dup videsolid
+end
+} def
+
+%%%%% ### newgrille ###
+%% syntaxe : xmin xmax ymin ymax [dx dy] newgrille -> solid
+%% syntaxe : xmin xmax ymin ymax [nx ny] newgrille -> solid
+%% syntaxe : xmin xmax ymin ymax {mode} newgrille -> solid
+%% syntaxe : xmin xmax ymin ymax newgrille -> solid
+/newgrille {
+10 dict begin
+ [[/nx /ny] [1 1] [1. 1.] [1. 1.] [1. 1.] [.5 .5]] gestionsolidmode
+ %% ny nb d etages en y
+ %% nx nb d etages en x
+ /biface false def
+ [nx ny] {0} newsurfaceparametree
+end
+} def
+
+%% %% syntaxe : xmin xmax ymin ymax [dx dy] {f} newsurface -> solid
+%% %% f : R^2 -> R
+/newsurface {
+ true newsurfaceparametree
+} def
+
+/biface true def
+
+/newsurfaceparametree {
+10 dict begin
+ dup isbool {
+ pop /surfz true def
+ } {
+ /surfz false def
+ } ifelse
+ /f_surface exch def
+ [[/nx /ny] [2 2] [4 4] [1. 1.] [1. 1.] [.25 .25]] gestionsolidmode
+ %% ny nb d etages en y
+ %% nx nb d etages en x
+ /ymax exch def
+ /ymin exch def
+ /xmax exch def
+ /xmin exch def
+
+ nx isinteger not {
+ %% alors nx est un dx
+ /nx xmax xmin sub nx div cvi store
+ } if
+ ny isinteger not {
+ %% alors ny est un dy
+ /ny ymax ymin sub ny div cvi store
+ } if
+ /dy ymax ymin sub ny div def %% le pas sur y
+ /dx xmax xmin sub nx div def %% le pas sur x
+
+ /S [
+ 0 1 nx {
+ /i exch def
+ 0 1 ny {
+ /j exch def
+ /u xmin i dx mul add def
+ /v ymin j dy mul add def
+ u v
+ surfz {2 copy} if
+ f_surface
+ pstrickactionR3
+ } for
+ } for
+ ] def
+
+ /F [
+ 0 1 nx 1 sub {
+ /i exch def
+ 0 1 ny 1 sub {
+ /j exch def
+ [
+ j 1 add i ny 1 add mul add
+ j i ny 1 add mul add
+ j ny 1 add add i ny 1 add mul add
+ j ny 2 add add i ny 1 add mul add
+ ]
+ } for
+ } for
+%% 0 1 0 {%nx 1 sub {
+%% /i exch def
+%% 0 1 0 {%ny 2 sub {
+%% /j exch def
+%% [
+%% j 1 add %% i ny mul add
+%% j %% i ny mul add
+%% ny 1 add j add %% i ny mul add
+%% ny 2 add j add %% i ny mul add
+%% ]
+%% } for
+%% } for
+ ] def
+ S F generesolid
+ biface pl@n-en-cours not and {dup videsolid} if
+end
+} def
+
+%%%%% ### newgrillecirculaire ###
+%% syntaxe : r option newgrillecirculaire -> solid
+/newgrillecirculaire {
+6 dict begin
+ [[/K /N] [6 6] [6 8] [10 8] [16 12] [16 36]] gestionsolidmode
+
+ %% N = nb de meridiens (diviseur de 360 = 2^4 * 3^2 * 5)
+ %% K = nb d horizontales (diviseur de 160 = 2^5 * 5)
+
+ /r exch def
+ /F [
+ %% 1er etage
+ 1 1 N {
+ /i exch def
+ [0 i i N mod 1 add]
+ } for
+ %% etages suivants
+ 0 1 K 2 sub {
+ /j exch def
+ 1 1 N {
+ /i exch def
+ [i j N mul add
+ i N add j N mul add
+ i N mod N add 1 add j N mul add
+ i N mod 1 add j N mul add]
+ } for
+ } for
+ ] def
+
+ %% tableau des sommets
+ /S [
+ 0 0 0
+ 1 1 K {
+ /j exch def
+ 1 1 N {
+ /i exch def
+ /theta i 360 mul N div def
+ theta cos r j mul K div mul
+ theta sin r j mul K div mul
+ 0 %2 copy f %exch atan 90 div
+ } for
+ } for
+ ] def
+
+ S F generesolid
+end
+} def
+
+%% syntaxe : r [dx dy] {f} newsurface* -> solid
+/newsurface* {
+7 dict begin
+ /f_surface exch def
+ [[/nx /ny] [6 6] [6 8] [10 8] [16 12] [16 36]] gestionsolidmode
+
+ nx isinteger not {
+ %% alors nx est un dx
+ /nx xmax xmin sub nx div cvi store
+ } if
+ ny isinteger not {
+ %% alors ny est un dy
+ /ny ymax ymin sub ny div cvi store
+ } if
+ /dy ymax ymin sub ny div def %% le pas sur y
+ /dx xmax xmin sub nx div def %% le pas sur x
+
+ %% ny = nb de meridiens
+ %% nx = nb d horizontales
+
+ /r exch def
+ /F [
+ %% 1er etage
+ 1 1 ny {
+ /i exch def
+ [0 i i ny mod 1 add]
+ } for
+ %% etages suivants
+ 0 1 nx 2 sub {
+ /j exch def
+ 1 1 ny {
+ /i exch def
+ [i j ny mul add
+ i ny add j ny mul add
+ i ny mod ny add 1 add j ny mul add
+ i ny mod 1 add j ny mul add]
+ } for
+ } for
+ ] def
+
+ %% tableau des sommets
+ /S [
+ 0 0 0 0 f_surface
+ 1 1 nx {
+ /j exch def
+ 1 1 ny {
+ /i exch def
+ /theta i 360 mul ny div def
+ theta cos r j mul nx div mul
+ theta sin r j mul nx div mul
+ 2 copy f_surface
+ } for
+ } for
+ ] def
+
+ S F generesolid
+end
+} def
+
+%%%%% ### newruban ###
+%% syntaxe : array h u [n] newruban -> solid d axe (O, u), de maillage vertical n
+%% syntaxe : array h u newruban -> solid d axe (O, u),
+%% syntaxe : array h newruban -> solid d axe (O, k),
+%% ou array tableau de points 2d
+/newruban {
+7 dict begin
+ %% N = nb d etages
+ [[/N] [1] [1] [1] [3] [4]] gestionsolidmode
+ 2 copy pop isarray {
+ /u {0 0 1} def
+ } {
+ /u defpoint3d
+ } ifelse
+ u 0 eq {
+ (Error : 3eme composante nulle dans le vecteur pour newruban) ==
+ quit
+ } if
+ pop pop
+ /h exch def
+ /table exch def
+ %% n = indice du dernier point
+ /n table length 2 idiv 1 sub def
+ %% vecteur de translation
+ u
+ h u norme3d div
+ mulv3d /v defpoint3d
+
+ %% tableau des sommets
+ /S [
+ 0 1 N {
+ /j exch def
+ 0 1 n {
+ /i exch def
+ table i getp
+ 0
+ v N j sub N div mulv addv3d
+ } for
+ } for
+ ] def
+
+ /F [
+ %% faces etage
+ 1 1 N {
+ /j exch def
+ 1 1 n {
+ /i exch def
+ [i j 1 sub n 1 add mul add
+ i 1 sub j 1 sub n 1 add mul add
+ n 1 add i add 1 sub j 1 sub n 1 add mul add
+ n 1 add i add j 1 sub n 1 add mul add]
+ } for
+ } for
+ ] def
+
+ S F generesolid
+ dup videsolid
+end
+} def
+
+%%%%% ### newicosaedre ###
+/newicosaedre {
+3 dict begin
+ /a exch def
+ /S [
+ 0.8944271 0 0.4472137
+ 0.2763932 0.8506507 0.4472137
+ -0.7236067 0.5257311 0.4472137
+ -0.7236067 -0.5257311 0.4472137
+ 0.2763932 -0.8506507 0.4472137
+ 0 0 1
+ 0 0 -1
+ -0.8944271 0 -0.4472137
+ -0.2763932 -0.8506507 -0.4472137
+ 0.7236067 -0.5257311 -0.4472137
+ 0.7236067 0.5257311 -0.4472137
+ -0.2763932 0.8506507 -0.4472137
+ ] {a mulv3d} papply3d def
+
+ /F [
+ [0 1 5] %% 1 2 6 ]
+ [1 2 5] %% 2 3 6 ]
+ [2 3 5] %% 3 4 6 ]
+ [3 4 5] %% 4 5 6 ]
+ [4 0 5] %% 5 1 6 ]
+ [9 0 4] %% 10 1 5 ]
+ [0 9 10] %% 1 10 11]
+ [10 1 0] %% 11 2 1 ]
+ [1 10 11] %% 2 11 12]
+ [11 2 1] %% 12 3 2 ]
+ [2 11 7] %% 3 12 8 ]
+ [2 7 3] %% 3 8 4 ]
+ [3 7 8] %% 4 8 9 ]
+ [3 8 4] %% 4 9 5 ]
+ [4 8 9] %% 5 9 10 ]
+ [6 7 11] %% 7 8 12 ]
+ [6 8 7] %% 7 9 8 ]
+ [6 9 8] %% 7 10 9 ]
+ [6 10 9] %% 7 11 10]
+ [6 11 10] %% 7 12 11]
+ ] def
+
+ S F generesolid
+end
+} def
+
+%%%%% ### newdodecaedre ###
+/newdodecaedre {
+3 dict begin
+ /a exch def
+ /S [
+ 0 0.607062 0.7946545
+ -0.5773503 0.1875925 0.7946545
+ -0.3568221 -0.4911235 0.7946545
+ 0.3568221 -0.4911235 0.7946545
+ 0.5773503 0.1875925 0.7946545
+ 0 0.982247 0.1875925
+ -0.9341724 0.303531 0.1875925
+ -0.5773503 -0.7946645 0.1875925
+ 0.5773503 -0.7946645 0.1875925
+ 0.9341724 0.303531 0.1875925
+ 0 -0.982247 -0.1875925
+ 0.9341724 -0.303531 -0.1875925
+ 0.5773503 0.7946545 -0.1875925
+ -0.5773503 0.7946545 -0.1875925
+ -0.9341724 -0.303531 -0.1875925
+ -0.5773503 -0.1875925 -0.7946545
+ -0.3568221 0.4911235 -0.7946545
+ 0.3568221 0.4911235 -0.7946545
+ 0.5773503 -0.1875925 -0.7946545
+ 0 -0.607062 -0.7946545
+ ] {a mulv3d} papply3d def
+
+ /F [
+ [0 1 2 3 4]
+ [4 3 8 11 9]
+ [4 9 12 5 0]
+ [0 5 13 6 1]
+ [1 6 14 7 2]
+ [2 7 10 8 3]
+ [10 19 18 11 8]
+ [11 18 17 12 9]
+ [12 17 16 13 5]
+ [13 16 15 14 6]
+ [14 15 19 10 7]
+ [15 16 17 18 19]
+ ] def
+ S F generesolid
+end
+} def
+
+%%%%% ### newoctaedre ###
+/newoctaedre {
+3 dict begin
+ /a exch def
+ %%Sommets
+ /S [
+ 0 0 1
+ 1 0 0
+ 0 1 0
+ -1 0 0
+ 0 -1 0
+ 0 0 -1
+ ] {a mulv3d} papply3d def
+
+ /F [
+ [0 4 1]
+ [1 2 0]
+ [0 2 3]
+ [3 4 0]
+ [1 5 2]
+ [2 5 3]
+ [3 5 4]
+ [4 5 1]
+ ] def
+
+ S F generesolid
+end
+} def
+
+%%%%% ### newtetraedre ###
+/newtetraedre {
+3 dict begin
+ /r exch def
+ %%Tetraedre
+ /S [
+ 0 0 1
+ -0.4714045 -0.8164965 -1 3 div
+ 0.942809 0 -1 3 div
+ -0.4714045 0.8164965 -1 3 div
+ ] {r mulv3d} papply3d def
+
+ /F [
+ [0 1 2]
+ [0 2 3]
+ [0 3 1]
+ [1 3 2]
+ ] def
+
+ S F generesolid
+end
+} def
+
+%%%%% ### newcube ###
+/newcube {
+3 dict begin
+ [[/n] [1] [1] [1] [3] [4]] gestionsolidmode
+ /a exch 2 div def
+
+ n 1 le {
+ /F [
+ [0 1 2 3]
+ [0 4 5 1]
+ [1 5 6 2]
+ [2 6 7 3]
+ [0 3 7 4]
+ [4 7 6 5]
+ ] def
+
+ %% tableau des sommets
+ /S [
+ 1 1 1 %% 0
+ -1 1 1 %% 1
+ -1 -1 1 %% 2
+ 1 -1 1 %% 3
+ 1 1 -1 %% 4
+ -1 1 -1 %% 5
+ -1 -1 -1 %% 6
+ 1 -1 -1 %% 7
+ ] {a mulv3d} papply3d def
+ S F generesolid
+ } {
+ /dl 2 n div def
+ /N n dup mul n add 4 mul def
+ /n1 n 1 sub dup mul def %% nb sommets centre d une face
+
+ %% tableau des sommets
+ /S1 [
+ 0 1 n 1 sub {
+ /j exch def
+ 0 1 n {
+ /i exch def
+ -1 i dl mul add
+ -1 j dl mul add
+ 1
+ } for
+ } for
+ ] def
+
+ /S2 S1 {-90 0 0 rotateOpoint3d} papply3d def
+ /S3 S2 {-90 0 0 rotateOpoint3d} papply3d def
+ /S4 S3 {-90 0 0 rotateOpoint3d} papply3d def
+
+ /S5 [
+ 1 1 n 1 sub {
+ /j exch def
+ 1 1 n 1 sub {
+ /i exch def
+ 1
+ -1 i dl mul add
+ -1 j dl mul add
+ } for
+ } for
+ ] def
+
+ /S6 [
+ 1 1 n 1 sub {
+ /j exch def
+ 1 1 n 1 sub {
+ /i exch def
+ -1
+ -1 i dl mul add
+ -1 j dl mul add
+ } for
+ } for
+ ] def
+
+ %% tableau des faces
+ /F1 [
+ 0 1 n 1 sub {
+ /j exch def
+ 0 1 n 1 sub {
+ /i exch def
+ [
+ i n 1 add j mul add
+ dup 1 add
+ dup n 1 add add
+ dup 1 sub
+ ]
+ } for
+ } for
+ ] def
+
+ %% syntaxe : i sommettourgauche --> l indice du i-eme sommet du tour
+ %% de la face gauche (en commencant par l indice 0). ATTENTION :
+ %% utilise la variable globale n = nb d etages
+ /sommettourgauche {
+ 1 dict begin
+ /i exch def
+ i 4 n mul ge {
+ i
+ (Error: indice trop grand dans sommettourgauche) ==
+ exit
+ } if
+ n n 1 add i mul add
+ end
+ } def
+
+ %% syntaxe : i sommetcentregauche --> l indice du i-eme sommet du centre
+ %% de la face gauche (en commencant par l indice 0). ATTENTION :
+ %% utilise les variables globales n = nb d etages, et N = nb sommets
+ %% des 4 1eres faces
+ /sommetcentregauche {
+ 1 dict begin
+ /i exch def
+ i n 1 sub dup mul ge {
+ i
+ (Error: indice trop grand dans sommetcentregauche) ==
+ exit
+ } if
+ N i add
+ end
+ } def
+
+ /F5 [
+ %%%%% la face gauche %%%%%
+ %% le coin superieur gauche
+ [
+ 1 sommettourgauche
+ 0 sommettourgauche
+ n 4 mul 1 sub sommettourgauche
+ n1 n 1 sub sub sommetcentregauche
+ ]
+
+ %% la bande superieure (i from 1 to n-2)
+ 1 1 n 2 sub {
+ /i exch def
+ [
+ i 1 add sommettourgauche
+ i sommettourgauche
+ n1 n sub i add sommetcentregauche
+ n1 n sub i 1 add add sommetcentregauche
+ ]
+ } for
+
+ %% le coin superieur droit
+ [
+ n sommettourgauche
+ n 1 sub sommettourgauche
+ n1 1 sub sommetcentregauche
+ n 1 add sommettourgauche
+ ]
+
+ %% la descente gauche
+ %% j from 1 to n-2
+ 1 1 n 2 sub {
+ /j exch def
+ [
+ n1 n 1 sub j mul sub sommetcentregauche
+ n 4 mul j sub sommettourgauche
+ n 4 mul j 1 add sub sommettourgauche
+ n1 n 1 sub j 1 add mul sub sommetcentregauche
+ ]
+ } for
+
+ %% les bandes centrales (j from 1 to n-2 et i from 1 to n-2)
+ 1 1 n 2 sub {
+ /j exch def
+ 1 1 n 2 sub {
+ /i exch def
+ [
+ n1 i n 1 sub j 1 sub mul add sub sommetcentregauche
+ n1 i 1 add n 1 sub j 1 sub mul add sub sommetcentregauche
+ n1 i 1 add n 1 sub j mul add sub sommetcentregauche
+ n1 i n 1 sub j mul add sub sommetcentregauche
+ ]
+ } for
+ } for
+
+ %% la descente droite
+ 1 1 n 2 sub {
+ /j exch def
+ [
+ n j add sommettourgauche
+ n1 1 sub j 1 sub n 1 sub mul sub sommetcentregauche
+ n1 1 sub j n 1 sub mul sub sommetcentregauche
+ n j 1 add add sommettourgauche
+ ]
+ } for
+
+ %% le coin inferieur gauche
+ [
+ 0 sommetcentregauche
+ n 3 mul 1 add sommettourgauche
+ n 3 mul sommettourgauche
+ n 3 mul 1 sub sommettourgauche
+ ]
+
+ %% la bande inferieure (i from 1 to n-2)
+ 1 1 n 2 sub {
+ /i exch def
+ [
+ i sommetcentregauche
+ i 1 sub sommetcentregauche
+ n 3 mul i sub sommettourgauche
+ n 3 mul i sub 1 sub sommettourgauche
+ ]
+ } for
+
+ %% le coin inferieur droit
+ [
+ n 2 mul 1 sub sommettourgauche
+ n 2 sub sommetcentregauche
+ n 2 mul 1 add sommettourgauche
+ n 2 mul sommettourgauche
+ ]
+ ] def
+
+ %% syntaxe : i sommettourdroit --> l indice du i-eme sommet du tour
+ %% de la face droit (en commencant par l indice 0). ATTENTION :
+ %% utilise la variable globale n = nb d etages
+ /sommettourdroit {
+ 1 dict begin
+ /i exch def
+ i 4 n mul ge {
+ i
+ (Error: indice trop grand dans sommettourdroit) ==
+ exit
+ } if
+ n 1 add i mul
+ end
+ } def
+
+ %% syntaxe : i sommetcentredroit --> l indice du i-eme sommet du centre
+ %% de la face droit (en commencant par l indice 0). ATTENTION :
+ %% utilise les variables globales n = nb d etages, et N = nb sommets
+ %% des 4 1eres faces
+ /sommetcentredroit {
+ 1 dict begin
+ /i exch def
+ i n 1 sub dup mul ge {
+ i
+ (Error: indice trop grand dans sommetcentredroit) ==
+ exit
+ } if
+ N n1 add i add
+ end
+ } def
+
+ /F6 [
+ %% coin superieur droit
+ [
+ 0 sommettourdroit
+ 1 sommettourdroit
+ n1 n 1 sub sub sommetcentredroit
+ 4 n mul 1 sub sommettourdroit
+ ]
+ %% coin superieur gauche
+ [
+ n 1 sub sommettourdroit
+ n sommettourdroit
+ n 1 add sommettourdroit
+ n1 1 sub sommetcentredroit
+ ]
+ %% coin inferieur gauche
+ [
+ n 2 sub sommetcentredroit
+ 2 n mul 1 sub sommettourdroit
+ 2 n mul sommettourdroit
+ 2 n mul 1 add sommettourdroit
+ ]
+ %% coin inferieur droit
+ [
+ 3 n mul 1 add sommettourdroit
+ 0 sommetcentredroit
+ 3 n mul 1 sub sommettourdroit
+ 3 n mul sommettourdroit
+ ]
+ %% bande superieure
+ 1 1 n 2 sub {
+ /i exch def
+ [
+ i sommettourdroit
+ i 1 add sommettourdroit
+ n 1 sub n 2 sub mul i add sommetcentredroit
+ n 1 sub n 2 sub mul i 1 sub add sommetcentredroit
+ ]
+ } for
+ %% bande inferieure
+ 1 1 n 2 sub {
+ /i exch def
+ [
+ i 1 sub sommetcentredroit
+ i sommetcentredroit
+ 3 n mul 1 sub i sub sommettourdroit
+ 3 n mul i sub sommettourdroit
+ ]
+ } for
+ %% descente gauche
+ 1 1 n 2 sub {
+ /i exch def
+ [
+ n1 1 sub i 1 sub n 1 sub mul sub sommetcentredroit
+ n i add sommettourdroit
+ n i 1 add add sommettourdroit
+ n1 1 sub i n 1 sub mul sub sommetcentredroit
+ ]
+ } for
+ %% descente droite
+ 1 1 n 2 sub {
+ /i exch def
+ [
+ 4 n mul i sub sommettourdroit
+ n 1 sub n 1 sub i sub mul sommetcentredroit
+ n 1 sub n 2 sub i sub mul sommetcentredroit
+ 4 n mul i sub 1 sub sommettourdroit
+ ]
+ } for
+ %% bandes interieures
+ 1 1 n 2 sub {
+ /j exch def
+ 1 1 n 2 sub {
+ /i exch def
+ [
+ n 1 sub j mul i 1 sub add sommetcentredroit
+ n 1 sub j mul i add sommetcentredroit
+ n 1 sub j 1 sub mul i add sommetcentredroit
+ n 1 sub j 1 sub mul i 1 sub add sommetcentredroit
+ ]
+ } for
+ } for
+
+ ] def
+
+ /F2 F1 {{n dup mul n add add} apply} apply def
+ /F3 F2 {{n dup mul n add add} apply} apply def
+ /F4 F3 {{n dup mul n add add} apply} apply def
+
+
+ S1 S2 append S3 append S4 append S5 append S6 append {a mulv3d} papply3d
+ F1 F2 append F3 append F4 append {{N mod} apply} apply F5 append F6 append
+ generesolid
+ } ifelse
+end
+} def
+
+%%%%% ### newparallelepiped ###
+% 14 octobre 2006
+/newparallelepiped {
+2 dict begin
+ /c exch 2 div def
+ /b exch 2 div def
+ /a exch 2 div def
+ /F [
+ [0 1 2 3]
+ [0 4 5 1]
+ [1 5 6 2]
+ [2 6 7 3]
+ [0 3 7 4]
+ [4 7 6 5]
+ ] def
+
+ %% tableau des sommets
+ /S [
+ a b c %% 0
+ a neg b c %% 1
+ a neg b neg c %% 2
+ a b neg c %% 3
+ a b c neg %% 4
+ a neg b c neg %% 5
+ a neg b neg c neg %% 6
+ a b neg c neg %% 7
+ ] def
+ S F generesolid
+end
+} def
+
+%%%%% ### newcylindre ###
+%% syntaxe : z0 r0 z1 newcylindre -> solide
+%% syntaxe : z0 r0 z1 {mode} newcylindre -> solide
+%% syntaxe : z0 r0 z1 [n1 n2] newcylindre -> solide
+%% syntaxe : a b {f} {u} h [n1 n2] newcylindre
+/newcylindre {
+2 dict begin
+ [[/n2 /n1] [1 6] [1 8] [1 10] [3 12] [5 18]] gestionsolidmode
+ 2 copy pop xcheck {
+ %% cylindre cas general
+ /h exch def
+ /U exch def
+ U normalize3d /u defpoint3d
+ /lafonction exch def
+ /b exch def
+ /a exch def
+ /pas b a sub n1 div def
+ /vpas h n2 div def
+ /S [
+ 0 1 n2 {
+ /j exch def
+ 0 1 n1 {
+ /i exch def
+ a i pas mul add lafonction
+ u j vpas mul mulv3d addv3d
+ } for
+ } for
+ ] def
+ /F [
+ 0 1 n2 1 sub {
+ /j exch def
+ 0 1 n1 1 sub {
+ /i exch def
+ [
+ i n1 1 add j mul add
+ dup 1 add
+ dup n1 1 add add
+ dup 1 sub
+ ]
+ } for
+ } for
+ ] def
+
+ S F generesolid
+% dup videsolid
+ } {
+ %% cylindre de revolution
+ 2 copy pop [n2 n1] newtronccone
+ } ifelse
+end
+} def
+
+%% syntaxe : z0 r0 z1 newcylindrecreux -> solide
+/newcylindrecreux {
+ newcylindre
+ dup creusesolid
+} def
+
+%%%%% ### newtronccone ###
+%% syntaxe : z0 r0 z1 r1 newtronccone -> solid
+/newtronccone {
+11 dict begin
+ [[/n /N] [1 6] [1 8] [1 10] [3 12] [5 18]] gestionsolidmode
+
+ /r1 exch def
+ /z1 exch def
+ /r0 exch def
+ /z0 exch def
+ /dz z1 z0 sub n div def
+ /dr r1 r0 sub n div def
+
+ /FE [
+ [0 1 N 1 sub {} for]
+ [n 1 add N mul 1 sub -1 n N mul {} for]
+
+ 0 1 n 1 sub {
+ /k exch def
+ k N mul 1 add 1 k 1 add N mul 1 sub {
+ /i exch def
+ [i i 1 sub N i add 1 sub N i add]
+ } for
+ [k N mul k 1 add N mul 1 sub k 2 add N mul 1 sub k 1 add N mul]
+ } for
+
+ ] def
+
+ %% tableau des sommets
+ /S [
+ n -1 0 {
+ /k exch def
+ 0 1 N 1 sub {
+ /i exch def
+ 360 N idiv i mul cos r0 dr k mul add mul
+ 360 N idiv i mul sin r0 dr k mul add mul
+ z0 dz k mul add
+ } for
+ } for
+ ] def
+ S FE generesolid
+end
+} def
+
+%% syntaxe : z0 r0 z1 r1 newtroncconecreux -> solid
+/newtroncconecreux {
+ newtronccone
+ dup creusesolid
+} def
+
+%%%%% ### newcone ###
+%% syntaxe : z0 r0 z1 newcone -> solid
+%% syntaxe : z0 r0 z1 {mode} newcone -> solid
+%% syntaxe : z0 r0 z1 [n1 n2] newcone -> solid
+%% syntaxe : a b {f} {sommet} [n1 n2] newcone -> solid
+/newcone {
+11 dict begin
+ [ [/n /N] [1 6] [1 8] [1 10] [3 12] [5 18] ] gestionsolidmode
+ dup xcheck {
+ %% cas general
+ /sommet exch def
+ /lafonction exch def
+ /b exch def
+ /a exch def
+
+ /pas b a sub N div def
+ /S [
+ sommet
+ 0 1 n 1 sub {
+ /j exch def
+ 0 1 N {
+ /i exch def
+ a i pas mul add lafonction
+ dupp3d sommet vecteur3d j n div mulv3d addv3d
+ } for
+ } for
+ 1 1 n {
+ /j exch def
+ 0 1 N {
+ /i exch def
+ a i pas mul add lafonction
+ sommet vecteur3d j n div mulv3d sommet addv3d
+ } for
+ } for
+ ] def
+
+ /F [
+ %% les etages inferieurs
+ 0 1 n 2 sub {
+ /j exch def
+ 1 1 N {
+ /i exch def
+ [
+ i j N 1 add mul add
+ dup 1 add
+ dup N add 1 add
+ dup 1 sub
+ ]
+ } for
+ } for
+ %% dernier etage inferieur
+ 1 1 N {
+ /i exch def
+ [
+ i N 1 add n 1 sub mul add
+ dup 1 add
+ 0
+ ]
+ } for
+ %% premier etage superieur
+ 1 1 N {
+ /i exch def
+ [
+ i N 1 add n mul add
+ dup 1 add
+ 0
+ exch
+ ]
+ } for
+ %% les etages superieurs
+ n 1 n 2 mul 2 sub {
+ /j exch def
+ 1 1 N {
+ /i exch def
+ [
+ i j N 1 add mul add
+ dup 1 add
+ dup N add 1 add
+ dup 1 sub
+ ]
+ } for
+ } for
+ ] def
+
+ S F generesolid
+% dup videsolid
+ } {
+ %% cylindre de revolution
+ /z1 exch def
+ /r0 exch def
+ /z0 exch def
+ /dz z1 z0 sub n div def
+ /dr r0 n div def
+
+ /F [
+ %% la base
+ [N 1 sub -1 0 {} for]
+ %% le dernier etage
+ n 1 sub N mul 1 add 1 n N mul 1 sub {
+ /i exch def
+ [i 1 sub i n N mul]
+ } for
+ [n N mul 1 sub n 1 sub N mul n N mul]
+ %% les autres etages
+ 0 1 n 2 sub {
+ /j exch def
+ 0 N j mul add 1 N N j mul add 2 sub {
+ /i exch def
+ [i i 1 add dup N add dup 1 sub]
+ } for
+ [N N j mul add 1 sub N j mul dup N add dup N add 1 sub]
+ } for
+ ] def
+
+ %% tableau des sommets
+ /S [
+ %% etage no j (in [1; n])
+ 0 1 n 1 sub {
+ /j exch def
+ 0 1 N 1 sub {
+ /i exch def
+ 360 N idiv i mul cos r0 dr j mul sub mul
+ 360 N idiv i mul sin r0 dr j mul sub mul
+ z0 dz j mul add
+ } for
+ } for
+ 0 0 z1
+ ] def
+ S F generesolid
+ } ifelse
+end
+} def
+
+%% %% syntaxe : z0 r0 z1 newconecreux -> solid
+ /newconecreux {
+ newcone
+ dup 0 solidrmface
+ dup videsolid
+ } def
+
+%%%%% ### newtore ###
+%% syntaxe : r R newtore -> solid
+/newtore {
+10 dict begin
+ [[/n1 /n2] [4 5] [6 10] [8 12] [9 18] [18 36]] gestionsolidmode
+ /n2 n2 3 max store
+ /n1 n1 2 max store
+ /R exch def
+ /r exch def
+ /S [
+ 0 1 n1 1 sub {
+ /i exch def
+ 360 n1 div i mul cos r mul R add
+ 360 n1 div i mul sin r mul
+ } for
+ ]
+ def
+ S [n2] newanneau
+end
+} def
+
+%%%%% ### newprisme ###
+%% syntaxe : array z0 z1 newprisme -> solid d axe (O, u),
+/newprismedroit {
+ [[/N] [1] [1] [1] [3] [6]] gestionsolidmode
+ 0 0 1 [N] newprisme
+} def
+
+%% syntaxe : array z0 z1 u newprisme -> solid d axe (O, u),
+%% ou array tableau de points 2d
+/newprisme {
+7 dict begin
+ [[/N] [1] [1] [1] [3] [6]] gestionsolidmode
+ dup 0 eq {
+ (Error : 3eme composante nulle dans le vecteur pour newprisme) ==
+ quit
+ } if
+ /u defpoint3d
+ /z1 exch def
+ /z0 exch def
+ %% N = nb d etages
+ /table exch def
+ %% n = indice du dernier point
+ /n table length 2 idiv 1 sub def
+ %% vecteur de translation
+ u
+ z1 z0 sub u norme3d div
+ mulv3d /v defpoint3d
+
+ %% tableau des sommets
+ /S [
+ 0 1 N {
+ /j exch def
+ 0 1 n {
+ /i exch def
+ table i getp
+ z0
+ v N j sub N div mulv addv3d
+ } for
+ } for
+ ] def
+
+ /F [
+ %% face superieure
+ [0 1 n {} for]
+ %% base
+ [N 1 add n 1 add mul 1 sub -1 N n 1 add mul {} for]
+ %% faces etage
+ 1 1 N {
+ /j exch def
+ 1 1 n {
+ /i exch def
+ [i j 1 sub n 1 add mul add
+ i 1 sub j 1 sub n 1 add mul add
+ n 1 add i add 1 sub j 1 sub n 1 add mul add
+ n 1 add i add j 1 sub n 1 add mul add]
+ } for
+ [0 j 1 sub n 1 add mul add
+ n j 1 sub n 1 add mul add
+ 2 n mul 1 add j 1 sub n 1 add mul add
+ n 1 add j 1 sub n 1 add mul add]
+ } for
+ ] def
+
+ S F generesolid
+end
+} def
+
+%%%%% ### newsphere ###
+%% syntaxe : r option newsphere -> solid
+/newsphere {
+2 dict begin
+ [[/K /N] [6 6] [8 8] [10 12] [16 12] [16 36]] gestionsolidmode
+ -90 90 [K N] newcalottesphere
+end
+} def
+
+%% syntaxe : r phi theta option newcalottesphere -> solid
+/newcalottesphere {
+6 dict begin
+ [[/K /N] [6 6] [8 8] [10 12] [16 12] [16 36]] gestionsolidmode
+
+ %% test de beta (ex-theta)
+ dup 90 eq {
+ /beta exch def
+ /idebut 1 def
+ } {
+ /beta exch 80 min -80 max def
+ /idebut 0 def
+ } ifelse
+ %% test de alpha (ex-phi)
+ dup -90 eq {
+ /alpha exch def
+ } {
+ /alpha exch beta min -80 max def
+ } ifelse
+ /r exch def
+ beta 90 eq {
+ alpha -90 eq {
+ /ifin K def
+ /db alpha beta sub K 1 add div def
+ } {
+ /ifin K def
+ /db alpha beta sub K div def
+ } ifelse
+ } {
+ alpha -90 eq {
+ /ifin K 1 sub def
+ /db alpha beta sub K div def
+ } {
+ /ifin K 1 sub def
+ /db alpha beta sub K 1 sub div def
+ } ifelse
+ } ifelse
+
+ %% nombre de sommets -2
+ /nb N K mul def
+
+ %% tableau des sommets
+ /S [
+ idebut 1 ifin {
+ /j exch def
+ /phi beta j db mul add def
+ phi cos r mul /r_tmp exch def
+ 0 1 N 1 sub {
+ /i exch def
+ 360 N idiv i mul cos r_tmp mul
+ 360 N idiv i mul sin r_tmp mul
+ phi sin r mul
+ } for
+ } for
+ 0 0 r neg
+ 0 0 r
+ ] def
+
+ /F [
+ %% calotte inferieure
+ alpha -90 eq {
+ 1 1 N 1 sub {
+ /i exch def
+ [
+ nb
+ nb i sub
+ nb i 1 add sub
+ ]
+ } for
+ [nb nb N sub nb 1 sub]
+ } {
+ [nb 1 sub -1 nb N sub {} for ]
+ } ifelse
+
+ %% calotte superieure
+ beta 90 eq {
+ 0 1 N 1 sub {
+ /i exch def
+ [i i 1 add N mod N K mul 1 add]
+ } for
+ } {
+ [0 1 N 1 sub {} for]
+ } ifelse
+
+ 1 1 K 1 sub {
+ /j exch def
+ [
+ j N mul
+ j N mul 1 add
+ j 1 sub N mul 1 add
+ j 1 sub N mul
+ ]
+ N 2 sub {dup {1 add} apply} repeat
+ [
+ j 1 add N mul 1 sub
+ j N mul
+ j 1 sub N mul
+ j N mul 1 sub
+ ]
+ } for
+ ] def
+
+ S F generesolid
+end
+} def
+
+%% syntaxe : r phi theta option newcalottespherecreuse -> solid
+/newcalottespherecreuse {
+6 dict begin
+ [[/K /N] [6 6] [8 8] [10 12] [16 12] [16 36]] gestionsolidmode
+
+ %% test de beta (ex-theta)
+ dup 90 eq {
+ /beta exch def
+ /idebut 1 def
+ } {
+ /beta exch 80 min -80 max def
+ /idebut 0 def
+ } ifelse
+ %% test de alpha (ex-phi)
+ dup -90 eq {
+ /alpha exch def
+ } {
+ /alpha exch beta min -80 max def
+ } ifelse
+ /r exch def
+ beta 90 eq {
+ alpha -90 eq {
+ /ifin K def
+ /db alpha beta sub K 1 add div def
+ } {
+ /ifin K def
+ /db alpha beta sub K div def
+ } ifelse
+ } {
+ alpha -90 eq {
+ /ifin K 1 sub def
+ /db alpha beta sub K div def
+ } {
+ /ifin K 1 sub def
+ /db alpha beta sub K 1 sub div def
+ } ifelse
+ } ifelse
+
+ %% nombre de sommets -2
+ /nb N K mul def
+
+ %% tableau des sommets
+ /S [
+ idebut 1 ifin {
+ /j exch def
+ /phi beta j db mul add def
+ phi cos r mul /r_tmp exch def
+ 0 1 N 1 sub {
+ /i exch def
+ 360 N idiv i mul cos r_tmp mul
+ 360 N idiv i mul sin r_tmp mul
+ phi sin r mul
+ } for
+ } for
+ 0 0 r neg
+ 0 0 r
+ ] def
+
+ /F [
+ %% calotte inferieure
+ alpha -90 eq {
+ 1 1 N 1 sub {
+ /i exch def
+ [
+ nb
+ nb i sub
+ nb i 1 add sub
+ ]
+ } for
+ [nb nb N sub nb 1 sub]
+ } {
+% [nb 1 sub -1 nb N sub {} for ]
+ } ifelse
+
+ %% calotte superieure
+ beta 90 eq {
+ 0 1 N 1 sub {
+ /i exch def
+ [i i 1 add N mod N K mul 1 add]
+ } for
+ } {
+% [0 1 N 1 sub {} for]
+ } ifelse
+
+ 1 1 K 1 sub {
+ /j exch def
+ [
+ j N mul
+ j N mul 1 add
+ j 1 sub N mul 1 add
+ j 1 sub N mul
+ ]
+ N 2 sub {dup {1 add} apply} repeat
+ [
+ j 1 add N mul 1 sub
+ j N mul
+ j 1 sub N mul
+ j N mul 1 sub
+ ]
+ } for
+ ] def
+
+ S F generesolid
+ dup videsolid
+end
+} def
+
+%%%%% ### newanneau ###
+%% syntaxe : array n newanneau --> solid
+%% syntaxe : array {mode} newanneau --> solid
+%% ou array est un tableau de points de R^2 et n un nombre entier positif
+/newanneau {
+10 dict begin
+ dup isnum {
+ /n exch def
+ [n]
+ } if
+ [[/n2] [6] [12] [24] [32] [36]] gestionsolidmode
+ /n2 n2 3 max store
+ %% on plonge la section dans R^3 par projection sur yOz
+ /S1 exch {0 3 1 roll} papply def
+ %% nombre de sommets
+ /n1 S1 length 3 idiv def
+
+ /S S1
+ n2 {
+ duparray
+ {0 0 360 n2 div rotateOpoint3d} papply3d
+ } repeat
+ n2 {append} repeat
+ def
+
+ /F [
+ 0 1 n2 1 sub {
+ /j exch def
+ n1 j mul 1 j 1 add n1 mul 2 sub {
+ /i exch def
+ [i 1 add i dup n1 add i n1 1 add add]
+ } for
+ [n1 j mul j 1 add n1 mul 1 sub j 2 add n1 mul 1 sub j 1 add n1 mul]
+ } for
+ ] def
+
+ S F generesolid
+end
+} def
+
+%%%%% ### newvecteur ###
+%% syntaxe : x y z newvecteur
+%% syntaxe : x y z array newvecteur
+/newvecteur {
+4 dict begin
+ dup isarray {
+ /table exch def
+ /h@uteur table 1 get def
+ /r@y@n table 0 get def
+ } {
+ /h@uteur .3 def
+ /r@y@n .1 def
+ } ifelse
+ /A defpoint3d
+ %%Sommets
+ /S [0 0 0 A] def
+ /F [
+ [0 1]
+ ] def
+ S F generesolid
+ [ A ]
+ normalvect_to_orthobase
+ /imK defpoint3d
+ /imJ defpoint3d
+ /imI defpoint3d
+
+ A norme3d /z exch h@uteur sub def
+ 0 r@y@n h@uteur [1 8] newcone
+ dup (noir) outputcolors
+ {0 0 z translatepoint3d} solidtransform
+ {imI imJ imK transformpoint3d} solidtransform
+ solidfuz
+end
+} def
+
+%%%%% ### readsolidfile ###
+%% syntaxe : str readsolidfile -> solid
+/readsolidfile {
+1 dict begin
+ /str exch def
+ [str (-sommets.dat) append run]
+ [str (-faces.dat) append run]
+ generesolid
+ dup [str (-couleurs.dat) append run] solidputfcolors
+ dup [str (-io.dat) append run] solidputinouttable
+end
+} def
+
+%%%%% ### writesolidfile ###
+%% syntaxe : solid str writesolidfile -> -
+/writesolidfile {
+10 dict begin
+ /str exch def
+ /solid exch def
+ solid issolid not {
+ (Error : mauvais type d argument dans writesolidfile) ==
+ quit
+ } if
+ str (-sommets.dat) append (w) file /lefichiersommets exch def
+ str (-faces.dat) append (w) file /lefichierfaces exch def
+ str (-couleurs.dat) append (w) file /lefichiercouleurs exch def
+ str (-io.dat) append (w) file /lefichierio exch def
+
+ /S solid solidgetsommets def
+ 0 1 S length 3 idiv 1 sub {
+ /i exch def
+ solid i solidgetsommet
+ /z exch def
+ /y exch def
+ /x exch def
+ lefichiersommets x chaine cvs writestring
+ lefichiersommets 32 write %% espace
+ lefichiersommets y chaine cvs writestring
+ lefichiersommets 32 write %% espace
+ lefichiersommets z chaine cvs writestring
+ lefichiersommets 10 write %% CR
+ } for
+ lefichiersommets closefile
+
+ /F solid solidgetfaces def
+ 0 1 F length 1 sub {
+ /i exch def
+ /Fi solid i solidgetface def
+ lefichierfaces 91 write %% [
+ 0 1 Fi length 1 sub {
+ /j exch def
+ lefichierfaces Fi j get chaine cvs writestring
+ lefichierfaces 32 write %% espace
+ } for
+ lefichierfaces 93 write %% ]
+ lefichierfaces 10 write %% CR
+ } for
+ lefichierfaces closefile
+
+ /C solid solidgetfcolors def
+ 0 1 C length 1 sub {
+ /i exch def
+ lefichiercouleurs 40 write %% (
+ lefichiercouleurs C i get writestring
+ lefichiercouleurs 41 write %% )
+ lefichiercouleurs 10 write %% CR
+ } for
+ lefichiercouleurs closefile
+
+ /IO solid solidgetinouttable def
+ 0 1 3 {
+ /i exch def
+ lefichierio IO i get chaine cvs writestring
+ lefichierio 32 write %% space
+ } for
+ lefichierio closefile
+end
+} def
+
+%%%%% ### writeobjfile ###
+%% syntaxe : solid str writeobjfile -> -
+/writeobjfile {
+10 dict begin
+ /str exch (.obj) append def
+ /solid exch def
+ solid issolid not {
+ (Erreur : mauvais type d argument dans writeobjfile) ==
+ quit
+ } if
+ /n solid solidnombresommets def
+ str (w) file /lefichier exch def
+ 0 1 n 1 sub {
+ /i exch def
+ solid i solidgetsommet
+ /z exch def
+ /y exch def
+ /x exch def
+ lefichier (v ) writestring
+ lefichier x chaine cvs writestring
+ lefichier 32 write %% espace
+ lefichier y chaine cvs writestring
+ lefichier 32 write %% espace
+ lefichier z chaine cvs writestring
+ lefichier 10 write %% CR
+ } for
+ /n solid solidnombrefaces def
+ 0 1 n 1 sub {
+ /i exch def
+ lefichier (f ) writestring
+ /F solid i solidgetface {1 add} apply def
+ F {
+ lefichier exch
+ chaine cvs writestring
+ lefichier 32 write %% espace
+ } apply
+ lefichier 10 write %% CR
+ } for
+ lefichier closefile
+end
+} def
+
+%%%%% ### writeofffile ###
+%% syntaxe : solid str writeobjfile -> -
+/writeofffile {
+12 dict begin
+ /str exch (.off) append def
+ /solid exch def
+ solid issolid not {
+ (Erreur : mauvais type d argument dans writeofffile) ==
+ quit
+ } if
+ /n solid solidnombresommets def
+ /nf solid solidnombrefaces def
+ str (w) file /lefichier exch def
+ lefichier (OFF) writestring
+ lefichier 10 write %% CR
+ lefichier n chaine cvs writestring
+ lefichier 32 write %% espace
+ lefichier nf chaine cvs writestring
+ lefichier 32 write %% espace
+ lefichier 0 chaine cvs writestring
+ lefichier 10 write %% CR
+ 0 1 n 1 sub {
+ /i exch def
+ solid i solidgetsommet
+ /z exch def
+ /y exch def
+ /x exch def
+ lefichier x chaine cvs writestring
+ lefichier 32 write %% espace
+ lefichier y chaine cvs writestring
+ lefichier 32 write %% espace
+ lefichier z chaine cvs writestring
+ lefichier 10 write %% CR
+ } for
+ 0 1 nf 1 sub {
+ /i exch def
+ /F solid i solidgetface def
+ lefichier F length chaine cvs writestring
+ lefichier 32 write %% espace
+ F {
+ lefichier exch
+ chaine cvs writestring
+ lefichier 32 write %% espace
+ } apply
+ lefichier 10 write %% CR
+ } for
+ lefichier closefile
+end
+} def
+
+%%%%% ### newobjfile ###
+/newobjfile {
+3 dict begin
+ /objfilename exch (.obj) append def
+ /v {} def
+ /ok true def
+ /f {
+ ok {
+ %% 1ere fois
+ ] %% ferme les sommets
+ [ [ %% ouvre les faces
+ /ok false store
+ } {
+ %% les autres fois
+ ] %% ferme la face
+ [ %% ouvre la nouvelle
+ } ifelse
+ } def
+ [ 0 0 0 %% sommet fantome pour respecter l'indexation (a partir de l'indice 1)
+ objfilename run
+ ]]
+ /F exch def
+ /S exch def
+
+ S F generesolid
+% dup videsolid
+end
+} def
+
+%%%%% ### newofffile ###
+/newofffile {
+3 dict begin
+ /str 35 string def
+ /offfilename exch (.off) append def
+ offfilename (r) file
+ /offfile exch def
+ offfile str readline pop pop
+ offfile str readline pop
+ numstr2array
+ dup 0 get /ns exch def
+ 1 get /nf exch def
+ [ns {
+ offfile str readline pop numstr2array aload pop
+% 3 1 roll
+ } repeat]
+ /S exch def
+ [nf {
+ [
+ offfile str readline pop numstr2array
+ /table exch def
+ 1 1 table length 1 sub {
+ /i exch def
+ table i get
+ } for
+ ]
+ } repeat]
+ /F exch def
+
+ S F generesolid
+% dup videsolid
+end
+} def
+
+%%%%% ### newtube ###
+ /tub@dernierk1 [1 0 0] def
+ /tub@dernierk2 [0 1 0] def
+ /tub@dernierk3 [0 0 1] def
+
+/inittube {
+2 dict begin
+ normalize3d /vect3 defpoint3d
+ normalize3d /vect2 defpoint3d
+ normalize3d /vect1 defpoint3d
+ vect1 norme3d 0 eq {
+ vect2 vect3 vectprod3d /vect1 defpoint3d
+ } if
+ vect2 norme3d 0 eq {
+ vect3 vect1 vectprod3d /vect2 defpoint3d
+ } if
+ vect3 norme3d 0 eq {
+ vect1 vect2 vectprod3d /vect3 defpoint3d
+ } if
+ /tub@dernierk1 [vect1] store
+ /tub@dernierk2 [vect2] store
+ /tub@dernierk3 [vect3] store
+end
+} def
+
+%% syntaxe : tmin tmax (f) array r newtube -> solid
+%% array = [K N]
+/newtube {
+10 dict begin
+ /table exch def
+ /K table 0 get def %% nb d etages
+ /N table 1 get def %% nb de points sur le perimetre
+ /@r exch def %% le rayon du tube
+ /str exch def
+ /lafonction str cvx def
+ /laderivee str (') append cvx def
+%% /laderivee2nd str ('') append cvx def
+ /tmax exch def
+ /tmin exch def
+ /pas tmax tmin sub K 1 sub div def
+
+ %% definition des sommets
+ [
+ /@k 0 def
+ K {
+ /a0 tmin @k pas mul add def
+
+ %% definition du repere de Frenet (k1, k2, k3) au point f(a)
+ a0 lafonction /M defpoint3d
+
+ str (') append cvlit where {
+ pop
+ a0 laderivee normalize3d /k1 defpoint3d
+% pop /avecderiv true def
+ } {
+ M a0 pas 100 div add lafonction vecteur3d normalize3d /k1 defpoint3d
+% /avecderiv false
+ } ifelse
+
+ k1 baseplannormal /K3 defpoint3d /K2 defpoint3d
+% a0 laderivee2nd normalize3d /k2 defpoint3d
+
+ %% projete orthogonal du dernier rayon sur le plan actuel
+ %% (normal a la vitesse)
+ K2 tub@dernierk2 aload pop K2 scalprod3d mulv3d
+ K3 tub@dernierk2 aload pop K3 scalprod3d mulv3d addv3d /k2 defpoint3d
+% M k1 K2 K3 dessinebase
+ k1 norme3d 0 eq {
+ tub@dernierk1 aload pop /k1 defpoint3d
+ } {
+ /tub@dernierk1 [k1] store
+ } ifelse
+ k2 norme3d 0 eq {
+ tub@dernierk2 aload pop /k2 defpoint3d
+ } {
+ /tub@dernierk2 [k2] store
+ } ifelse
+ k1 k2 vectprod3d normalize3d /k3 defpoint3d
+ k3 norme3d 0 eq {
+ tub@dernierk3 aload pop /k3 defpoint3d
+ } {
+ /tub@dernierk3 [k3] store
+ } ifelse
+ k3 k1 vectprod3d normalize3d /k2 defpoint3d
+%% M k1 k2 k3 dessinebase
+ /tub@dernierk2 [k2] store
+ /@n 360 N div def %% le pas angulaire
+ 0 @n 360 @n sub {
+ /@i exch def
+ M
+ k2 @i cos @r mul mulv3d addv3d
+ k3 @i sin @r mul mulv3d addv3d
+ } for
+ /@k @k 1 add store
+ } repeat
+ ]
+
+ dup length 3 idiv /nb exch def
+ %% definition des faces
+ [
+ %% face de depart
+ [N 1 sub -1 0 {} for]
+ %% face d arrivee
+ [nb 1 sub N 1 sub {dup 1 sub} repeat] reverse
+
+ %% les etages
+ /j 0 def
+ K 1 sub {
+ 0 1 N 1 sub {
+ /i exch def
+ [
+ i N j mul add
+ i 1 add N mod N j mul add
+ i 1 add N mod N add N j mul add
+ i N add N j mul add
+ ]
+ } for
+ /j j 1 add store
+ } repeat
+ ]
+ generesolid
+end
+} def
+
+%%%%% ### newcourbe ###
+%% syntaxe : a b {f} array newcourbe --> solid
+/newcourbe {
+10 dict begin
+ dup xcheck not {
+ 0 get /n exch def
+ } {
+ /n 80 def
+ } ifelse
+ /l@f@nct exch def
+ /b exch def
+ /a exch def
+ /pas b a sub n 1 sub div def
+ /S [
+ 0 1 n 1 sub {
+ /@i exch def
+ a @i pas mul add
+ l@f@nct
+ pstrickactionR3
+ } for
+ ] def
+ /@F [
+ 0 1 n 2 sub {
+ /@i exch def
+ [@i @i 1 add]
+ } for
+ ] def
+ S @F generesolid
+end
+} def
+
+%%%%% ### baseplannormal ###
+%% syntaxe : x y z baseplannormal -> x1 y1 z1 x2 y2 z2
+/baseplannormal {
+5 dict begin
+ /K defpoint3d
+ 1 0 0 K vectprod3d normalize3d /U defpoint3d
+ U norme3d 0 eq {
+ 0 1 0 K vectprod3d normalize3d /U defpoint3d
+ } if
+ K U vectprod3d normalize3d /V defpoint3d
+ U V
+end
+} def
+
+%%%%% ### fin insertion ###
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% %%%%
+%%%% fin insertion librairie jps %%%%
+%%%% %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% gestion de chaine de caracteres %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+/Times-Roman findfont
+dup length dict begin
+ {
+ 1 index /FID ne
+ {def}
+ {pop pop}
+ ifelse
+ } forall
+ /Encoding ISOLatin1Encoding def
+ currentdict
+end
+/Times-Roman-ISOLatin1 exch definefont pop
+
+/setTimesRoman {
+ /Times-Roman-ISOLatin1 findfont
+ fontsize scalefont
+ setfont
+} def
+
+/setTimes {
+ setTimesRoman
+} def
+
+%% syntaxe : string x y cctext
+/cctext {
+5 dict begin
+ /y exch def
+ /x exch def
+ /str exch def
+ str stringwidth
+ /wy exch def
+ /wx exch def
+ gsave
+ x y smoveto
+ wx -2 div wy -2 div rmoveto
+ str show
+ grestore
+end
+} def
+
+/dbtext {gsave newpath dbtext_ Fill grestore} def
+/dctext {gsave newpath dctext_ Fill grestore} def
+/dltext {gsave newpath dltext_ Fill grestore} def
+/drtext {gsave newpath drtext_ Fill grestore} def
+
+/bbtext {gsave newpath bbtext_ Fill grestore} def
+/bctext {gsave newpath bctext_ Fill grestore} def
+/bltext {gsave newpath bltext_ Fill grestore} def
+/brtext {gsave newpath brtext_ Fill grestore} def
+
+/cbtext {gsave newpath cbtext_ Fill grestore} def
+/cctext {gsave newpath cctext_ Fill grestore} def
+/cltext {gsave newpath cltext_ Fill grestore} def
+/crtext {gsave newpath crtext_ Fill grestore} def
+
+/ubtext {gsave newpath ubtext_ Fill grestore} def
+/uctext {gsave newpath uctext_ Fill grestore} def
+/ultext {gsave newpath ultext_ Fill grestore} def
+/urtext {gsave newpath urtext_ Fill grestore} def
+
+
+%% syntaxe : str x y show_dim --> str x y llx lly wx wy
+%% attention, doit laisser la pile intacte
+/show_dim {
+ 3 copy pop pop
+ newpath
+ 0 0 moveto
+ true charpath flattenpath pathbbox
+ closepath
+ newpath
+} def
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% procedures pour PSTricks %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%% les 3 procedures utilisees pour transformer les depots de AlgToPs en nombres
+/pstrickactionR3 {
+3 dict begin
+ /len@3 exch def
+ /len@2 exch def
+ /len@1 exch def
+ len@1 exec
+ len@2 exec
+ len@3 exec
+end
+} def
+
+/pstrickactionR2 {
+ exec exch exec exch
+} def
+
+/pstrickactionR {
+ exec
+} def
+
+/gere_pst-deffunction {
+ counttomark
+ dup 1 eq {
+ pop
+ pstrickactionR
+ ] aload pop
+ } {
+ 2 eq {
+ pstrickactionR2
+ ] aload pop
+ } {
+ pstrickactionR3
+ ] aload pop
+ } ifelse
+ } ifelse
+} def
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% procedures pour \psSolid %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+/all (all) def
+
+/draw {drawsolid} def
+/draw* {drawsolid*} def
+/draw** {drawsolid**} def
+/writeobj {solidfilename writeobjfile} def
+/writesolid {solidfilename writesolidfile} def
+/writeoff {solidfilename writeofffile} def
+/none {pop} def
+/vecteur_en_c@urs false def
+
+/gere_pstricks_color_inout {
+ gsave
+ dup [fillincolor] (setrgbcolor) astr2str
+ [fillcolor] (setrgbcolor) astr2str inoutputcolors
+ grestore
+} def
+
+/gere_pstricks_color_out {
+ gsave
+ dup [fillcolor] (setrgbcolor) astr2str outputcolors
+ grestore
+} def
+
+/gere_pstfont {
+ fontsize mul setfontsize
+ %setTimes
+ PSfont dup /Symbol ne isolatin and {
+ /ISO-Font ReEncode /ISO-Font
+ } if
+ findfont fontsize scalefont setfont
+} def
+
+/gere_pstricks_opt {
+% /CourbeR2 {CourbeR2+} def
+ 1 gere_pstfont
+ linecolor
+ linestyle
+ solidlinewidth setlinewidth
+ solidtrunc length 0 ne {
+ solidtrunc 0 get isstring {
+ dup trunccoeff solidtronque
+ } {
+ dup solidtrunc trunccoeff solidtronque
+ } ifelse
+ } if
+ solidgeode {
+ 1 newgeode
+ } if
+ soliddualreg {
+ dualpolyedreregulier
+ } if
+ chanfrein {
+ dup chanfreincoeff solidchanfreine
+ } if
+ RotX 0 ne RotY 0 ne or RotZ 0 ne or {
+ {RotX RotY RotZ rotateOpoint3d} solidtransform
+ } if
+ CX 0 ne CY 0 ne or CZ 0 ne or {
+ {CX CY CZ translatepoint3d} solidtransform
+ } if
+ plansection length 0 gt {
+ 0 1 plansection length 1 sub {
+ /i exch def
+ plansection i get solidplansection
+ dup 0 solidrmface
+ } for
+ } if
+ /rmfaces rmfaces bubblesort reverse store
+ 0 1 rmfaces length 1 sub {
+ /i exch def
+ dup rmfaces i get solidrmface
+ } for
+ tx@Dict /pst-transformoption known {
+ dup {pst-transformoption} solidtransform
+ } if
+ solidaffinage length 0 ne {
+ %% si on affine, il faut colorier avant
+ activationgestioncouleurs {
+ gere_pstricks_color_out
+ } if
+ solidaffinage 0 get isstring {
+ dup affinagecoeff
+ /solidfcolor where {
+ pop
+ solidfcolor
+ } if
+ affinagerm solidaffine
+ } {
+ dup affinagecoeff solidaffinage
+ /solidfcolor where {
+ pop
+ solidfcolor
+ } if
+ affinagerm solidaffine
+ } ifelse
+ %% et il faut evider et coloriier l'interieur si necessaire
+ solidhollow {
+ dup videsolid
+ activationgestioncouleurs {
+ gsave
+ dup [fillincolor] (setrgbcolor) astr2str inputcolors
+ grestore
+ } if
+ } if
+ /activationgestioncouleurs false def
+ } if
+ tx@Dict /plansepare known {
+ plansepare solidplansepare
+ tx@Dict /plansepare undef
+ tx@Dict /solidname known {
+ solidname (1) append cvlit exch def
+ dup solidname (0) append cvlit exch def
+ %%
+ solidname (1) append cvx exec
+ solidhollow {
+ dup videsolid
+ } if
+ activationgestioncouleurs {
+ dup solidwithinfaces {
+ gere_pstricks_color_inout
+ } {
+ gere_pstricks_color_out
+ } ifelse
+ } if
+ solidinouthue length 0 gt {
+ dup solidinouthue solidputinouthuecolors
+ } {
+ solidhue length 0 gt {
+ dup solidhue solidputhuecolors
+ } if
+ solidinhue length 0 gt {
+ dup solidinhue solidputinhuecolors
+ } if
+ } ifelse
+ pop
+ tx@Dict /solidname undef
+ } {
+ /solid1 exch def
+ /solid2 exch def
+ } ifelse
+ } if
+ solidhollow {
+ dup videsolid
+ } if
+ activationgestioncouleurs {
+ zcolor length 0 ne {
+ dup zcolor tablez solidcolorz
+ } {
+ dup solidwithinfaces {
+ gere_pstricks_color_inout
+ } {
+ gere_pstricks_color_out
+ } ifelse
+ solidinouthue length 0 gt {
+ dup solidinouthue solidputinouthuecolors
+ } {
+ solidhue length 0 gt {
+ dup solidhue solidputhuecolors
+ } if
+ solidinhue length 0 gt {
+ dup solidinhue solidputinhuecolors
+ } if
+ } ifelse
+ } ifelse
+ } {
+ /activationgestioncouleurs true def
+ } ifelse
+
+ 0 1 fcol length 2 idiv 1 sub {
+ /i exch def
+ dup fcol 2 i mul get fcol 2 i mul 1 add get solidputfcolor
+ } for
+ vecteur_en_c@urs not {
+ /lightsrc where {pop solidlightOn} if
+ } {
+ /vecteur_en_c@urs false def
+ } ifelse
+ dup action cvx exec
+ noir
+ solidnumf length 0 ne {
+ solidnumf 0 get isstring {
+ dup projectionsifacevisible solidnumfaces
+ } {
+ dup solidnumf projectionsifacevisible solidnumfaces
+ } ifelse
+ } if
+ solidshow length 0 ne {
+ solidshow 0 get isstring {
+ dup solidshowsommets
+ } {
+ dup solidshow solidshowsommets
+ } ifelse
+ } if
+ solidnum length 0 ne {
+ solidnum 0 get isstring {
+ .8 gere_pstfont
+ dup solidnumsommets
+ } {
+ dup solidnum solidnumsommets
+ } ifelse
+ } {
+ %% pop
+ } ifelse
+ tx@Dict /solidname known {
+ solidname cvlit exch bind def
+ tx@Dict /solidname undef
+ } {
+ pop
+ } ifelse
+} def
+
+/pst-octahedron {
+ a newoctaedre
+ gere_pstricks_opt
+} def
+
+/pst-dodecahedron {
+ a newdodecaedre
+ gere_pstricks_opt
+} def
+
+/pst-icosahedron {
+ a newicosaedre
+ gere_pstricks_opt
+} def
+
+/pst-cube {
+ a
+ ngrid length 1 eq {
+ ngrid
+ } {
+ {Mode}
+ } ifelse
+ newcube
+%% solidhollow {
+%% dup videsolid
+%% } if
+ gere_pstricks_opt
+} def
+
+/pst-parallelepiped {
+ a b c
+ newparallelepiped
+ gere_pstricks_opt
+} def
+
+/pst-tetrahedron {
+ r newtetraedre
+ gere_pstricks_opt
+} def
+
+/pst-tore {
+ r0 r1
+ ngrid length 2 eq {
+ ngrid
+ } {
+ {Mode}
+ } ifelse
+ newtore
+ gere_pstricks_opt
+} def
+
+/pst-sphere {
+ % rayon
+ % mode
+ % r {Mode} newsphere
+ r
+ ngrid length 2 eq {
+ ngrid
+ } {
+ {Mode}
+ } ifelse
+ newsphere
+ gere_pstricks_opt
+} def
+%
+/pst-cylindre {
+ /save-cylinderhollow solidhollow def
+ tx@Dict /function known {
+ range aload pop function cvx {axe} h ngrid newcylindre
+ tx@Dict /function undef
+ /solidhollow true def
+ } {
+ % rayon
+ % mode
+ 0 r h
+ ngrid length 2 eq {
+ ngrid
+ } {
+ {Mode}
+ } ifelse
+ newcylindre
+ solidhollow {
+ dup creusesolid
+ } if
+ } ifelse
+ gere_pstricks_opt
+ /solidhollow save-cylinderhollow store
+} def
+%
+/pst-cylindrecreux {
+ % rayon
+ % mode
+ 0 r h
+ ngrid length 2 eq {
+ ngrid
+ } {
+ {Mode}
+ } ifelse
+ newcylindre
+ dup creusesolid
+ gere_pstricks_opt
+} def
+
+/pst-cone {
+ /save-conehollow solidhollow def
+ tx@Dict /function known {
+ range aload pop function cvx {origin} ngrid newcone
+ tx@Dict /function undef
+ /solidhollow true def
+ } {
+ % rayon
+ % mode
+ 0 r h
+ ngrid length 2 eq {
+ ngrid
+ } {
+ {Mode}
+ } ifelse
+ solidhollow {
+ newconecreux
+ } {
+ newcone
+ } ifelse
+ } ifelse
+ gere_pstricks_opt
+ /solidhollow save-conehollow store
+} def
+
+/pst-tronccone {
+ % rayon
+ % mode
+ 0 r0 h r1
+ ngrid length 2 eq {
+ ngrid
+ } {
+ {Mode}
+ } ifelse
+ solidhollow {
+ newtroncconecreux
+ } {
+ newtronccone
+ } ifelse
+ gere_pstricks_opt
+} def
+
+/pst-troncconecreux {
+ % rayon
+ % mode
+ 0 r0 h r1
+ ngrid length 2 eq {
+ ngrid
+ } {
+ {Mode}
+ } ifelse
+ newtroncconecreux
+ gere_pstricks_opt
+} def
+
+/pst-conecreux {
+ % rayon
+ % mode
+ 0 r h
+ ngrid length 2 eq {
+ ngrid
+ } {
+ {Mode}
+ } ifelse
+ newconecreux
+ gere_pstricks_opt
+} def
+
+/pst-anneau {
+ [ section ]
+ ngrid length 1 ge {
+ [ngrid 0 get]
+ } {
+ [24]
+ } ifelse
+ newanneau
+ gere_pstricks_opt
+} def
+
+
+/pst-prisme {
+ % tableau des points de la base
+ % h hauteur du prisme
+ % axe : vecteur direction de l axe
+ base decal rollparray
+ 0 h axe
+ ngrid length 1 ge {
+ [ngrid 0 get]
+ } if
+ newprisme
+ solidhollow {
+ dup creusesolid
+ } if
+ gere_pstricks_opt
+} def
+
+/pst-prismecreux {
+ % tableau des points de la base
+ % h hauteur du prisme
+ % axe : vecteur direction de l axe
+ base
+ 0 h axe
+ ngrid length 1 ge {
+ [ngrid 0 get]
+ } if
+ newprisme
+ dup creusesolid
+ gere_pstricks_opt
+} def
+
+/pst-grille {
+ base aload pop
+ ngrid length 2 ge {
+ [ngrid 0 get ngrid 1 get]
+ } {
+ ngrid length 1 eq {
+ [ngrid 0 get dup]
+ } if
+ } ifelse
+ newgrille
+ gere_pstricks_opt
+} def
+
+%% syntaxe : array N h u newruban -> solid d axe (O, u),
+/pst-ruban {
+ % tableau des points de la base
+ % h hauteur du prisme
+ % axe : vecteur direction de l axe
+ base
+ h axe
+ ngrid length 1 ge {
+ [ngrid 0 get]
+ } if
+ newruban
+ gere_pstricks_opt
+} def
+
+%% syntaxe : r phi option newcalottesphere -> solid
+/pst-calottesphere {
+ % rayon
+ % mode
+ % r phi theta option newcalottesphere
+ r
+ phi theta
+ ngrid length 2 eq {
+ ngrid
+ } {
+ {Mode}
+ } ifelse
+ solidhollow {
+ newcalottespherecreuse
+ } {
+ newcalottesphere
+ } ifelse
+ gere_pstricks_opt
+} def
+
+%% syntaxe : r phi option newcalottesphere -> solid
+/pst-calottespherecreuse {
+ % rayon
+ % mode
+ % r phi theta option newcalottespherecreuse
+ r
+ phi theta
+ ngrid length 2 eq {
+ ngrid
+ } {
+ {Mode}
+ } ifelse
+ newcalottespherecreuse
+ gere_pstricks_opt
+} def
+
+/pointtest{2 2 2} def
+
+/pst-face {
+ % tableau des points de la base
+ % h hauteur du prisme
+ % axe : vecteur direction de l axe
+ base
+ solidbiface {
+ newbiface
+ } {
+ newmonoface
+ } ifelse
+ gere_pstricks_opt
+} def
+
+/pst-Surface {
+ base
+ base aload pop
+ ngrid length 2 ge {
+ [ngrid 0 get ngrid 1 get]
+ } {
+ ngrid length 1 eq {
+ [ngrid 0 get dup]
+ } ifelse
+ } ifelse
+ {f} newsurface
+ solidbiface {
+ dup videsolid
+ } if
+ gere_pstricks_opt
+} def
+
+/pst-Surface* {
+ r
+ ngrid length 2 ge {
+ [ngrid 0 get ngrid 1 get]
+ } {
+ ngrid length 1 eq {
+ [ngrid 0 get dup]
+ } ifelse
+ } ifelse
+ {f} newsurface*
+ solidbiface {
+ dup videsolid
+ } if
+ gere_pstricks_opt
+} def
+
+/pst-surface {
+ base
+ base aload pop
+ ngrid length 2 ge {
+ [ngrid 0 get ngrid 1 get]
+ } {
+ ngrid length 1 eq {
+ [ngrid 0 get dup]
+ } ifelse
+ } ifelse
+ { function cvx exec } newsurface
+ solidbiface {
+ dup videsolid
+ } if
+ gere_pstricks_opt
+} def
+
+/pst-polygoneregulier {
+ r ngrid 0 get
+ newpolreg
+ solidbiface {
+ } {
+ dup 1 solidrmface
+ } ifelse
+ gere_pstricks_opt
+} def
+
+/pst-fusion {
+1 dict begin
+ /activationgestioncouleurs false def
+ /n base length def
+ base aload pop n 1 sub {solidfuz} repeat
+ gere_pstricks_opt
+end
+} def
+
+/pst-new {
+ sommets faces
+ generesolid
+%% solidhollow {
+%% dup videsolid
+%% } if
+ gere_pstricks_opt
+} def
+
+/pst-courbe {
+ solidlinewidth setlinewidth
+ r 0 eq {
+ range aload pop function cvx [resolution] newcourbe
+ gere_pstricks_opt
+ } {
+ range aload pop function r
+ ngrid length 2 lt {
+ [300 4]
+ } {
+ ngrid
+ } ifelse
+ newtube
+ gere_pstricks_opt %% r function [36 12] newtube
+ } ifelse
+} def
+%
+/pst-surfaceparametree {
+ base aload pop
+ ngrid length 2 ge {
+ [ngrid 0 get ngrid 1 get]
+ } {
+ ngrid length 1 eq {
+ [ngrid 0 get dup]
+ } if
+ } ifelse
+ { function cvx exec } newsurfaceparametree
+ dup videsolid
+ gere_pstricks_opt
+ tx@Dict /function undef
+} def
+%
+/pst-surface* {
+ r
+ ngrid length 2 ge {
+ [ngrid 0 get ngrid 1 get]
+ } {
+ ngrid length 1 eq {
+ [ngrid 0 get dup]
+ } if
+ } ifelse
+ { function cvx exec } newsurface*
+ dup videsolid
+ gere_pstricks_opt
+} def
+
+/pst-vecteur {
+gsave
+ /activationgestioncouleurs false def
+ /vecteur_en_c@urs true def
+ solidlinewidth setlinewidth
+ 2 setlinejoin
+ 1 setlinecap
+ linecolor
+ linestyle
+ tx@Dict /solidname known {
+ args definition cvx exec
+ solidname cvlit defpoint3d
+ tx@Dict /solidname undef
+ } if
+ args definition cvx exec newvecteur
+ dup
+ gsave
+ [linecolor currentrgbcolor] ( ) astr2str (setrgbcolor) append
+ outputcolors
+ grestore
+ gere_pstricks_opt
+grestore
+} def
+
+%/pst-vect- {} def
+%/pst-vect-2points {vecteur3d} def
+/pst-line {
+ gsave
+ linestyle
+ linecolor
+ [args] ligne3d
+ grestore
+} def
+
+/pst-objfile {
+ solidfilename newobjfile
+ gere_pstricks_opt
+} def
+
+/pst-offfile {
+ solidfilename newofffile
+ gere_pstricks_opt
+} def
+
+/pst-datfile {
+ solidfilename readsolidfile
+% /activationgestioncouleurs false def
+ gere_pstricks_opt
+} def
+
+/pst-plantype {
+% args definition
+ args (pst-plan-) definition append cvx exec
+ dup phi rotateplan
+ base length 4 eq {
+ dup base planputrange
+ } if
+ origin eqpl@n pointeqplan 0 eq {
+ dup origin planputorigine
+ } if
+ ngrid length 0 ne {
+ dup ngrid planputngrid
+ } if
+ tx@Dict /solidname known {
+ solidname cvlit exch bind def
+ tx@Dict /solidname undef
+ } {
+ pop
+ } ifelse
+} def
+/pst-plan- {pst-plan-plantype} def
+
+%x0 y0 z0 [normalvect] norm2plan
+/pst-plan-plantype {
+ dup plan2eq /eqpl@n exch def
+ /plan-@k true def
+} def
+
+/pst-plan {
+% args definition
+ args (pst-plan-) definition append cvx exec
+ /pl@n-en-cours true def
+ definition length 0 ne {
+% plan-@k not {
+ dup
+ base 0 get base 1 get lt
+ base 2 get base 3 get lt and {
+ base
+ } {
+ [-3 3 -2 2] %pop base %aload pop boum
+ } ifelse
+ planputrange
+ origin eqpl@n pointeqplan 0 eq {
+ dup origin planputorigine
+ } if
+ CX isreal
+ CX 0 eq and
+ CY isreal and
+ CY 0 eq and
+ CZ isreal and
+ CZ 0 eq and not {
+ dup CX CY CZ planputorigine
+ } if
+ /CX 0. def
+ /CY 0. def
+ /CZ 0. def
+ ngrid length 0 ne {
+ dup ngrid planputngrid
+ } if
+ } if
+% dup RotX RotY RotZ rotateOplan
+ dup phi rotateplan
+ /l@pl@n exch def
+ tx@Dict /solidname known {
+ l@pl@n solidname cvlit exch bind def
+ /solidname solidname (_s) append store
+ } if
+ l@pl@n newplan
+ gere_pstricks_opt
+ /pl@n-en-cours false def
+% action ==
+% noir
+ l@pl@n RotX RotY RotZ rotateOplan
+% l@pl@n CX CY CZ plantranslate
+% fontsize setfontsize
+% setTimes
+ 1 gere_pstfont
+ solidplanmarks {l@pl@n projectionsifacevisible planmarks} if
+ solidplangrid {linecolor l@pl@n projectionsifacevisible planquadrillage} if
+ solidshowbase {l@pl@n projectionsifacevisible planshowbase} if
+ solidshowbase3d {l@pl@n projectionsifacevisible planshowbase3d} if
+} def
+
+
+/pst-plan-normalpoint {
+ /plan-@k false def
+ norm2plan
+ dup plan2eq /eqpl@n exch def
+} def
+
+/pst-plan-equation {
+ /plan-@k false def
+ dup isarray {
+ dup /eqpl@n exch def
+ } {
+ 2 copy pop /eqpl@n exch def
+ } ifelse
+ eq2plan
+} def
+
+/pst-plan-solidface {
+ /plan-@k false def
+ solidface2plan
+ CX isreal
+ CX 0 eq and
+ CY isreal and
+ CY 0 eq and
+ CZ isreal and
+ CZ 0 eq and not {
+ dup CX CY CZ planputorigine
+ } if
+
+% dup plangetrange aload pop boum
+% dup origin planputorigine
+ dup plan2eq /eqpl@n exch def
+} def
+
+/pst-geode {
+ ngrid aload pop newgeode
+ gere_pstricks_opt
+} def
+
+/pst-load {
+ solidloadname
+% /activationgestioncouleurs false def
+ gere_pstricks_opt
+} def
+
+/pst-point {
+gsave
+ linecolor
+ 1 gere_pstfont
+ action (none) eqstring not {
+ args definition cvx exec point3d
+ } if
+ texte args definition cvx exec pos (text3d) append cvx exec
+ tx@Dict /solidname known {
+ args definition cvx exec
+ solidname cvlit defpoint3d
+ tx@Dict /solidname undef
+ } if
+grestore
+} def
+
+%% syntaxe : alpha beta r h newpie --> solid
+/pst-pie {
+ phi theta r h
+ ngrid length 2 ge {
+ [ngrid 0 get ngrid 1 get]
+ } if
+ newpie
+ gere_pstricks_opt
+} def
+
+/pst-trigospherique {
+3 dict begin
+gsave
+ solidlinewidth setlinewidth
+ linecolor
+ linestyle
+ args definition cvx exec
+grestore
+end
+} def
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%% procedures pour \psProjection %%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+/gere_pstricks_proj_opt {
+ /planprojpst where {
+ pop
+ planprojpst projectionsifacevisible projpath
+% /planprojpst where pop /planprojpst undef
+ } {
+ /solidprojname where {
+ /solidprojname get noface phi
+ xorigine 0 eq
+ yorigine 0 eq and
+ zorigine 0 eq and
+ xorigine isinteger not and
+ yorigine isinteger not and
+ yorigine isinteger not and {
+ } {
+ [xorigine yorigine zorigine] ( ) astr2str
+ } ifelse
+ projectionsifacevisible solidprojpath
+ } {
+ xorigine yorigine zorigine [ normale ] projectionsifacevisible planprojpath
+ } ifelse
+ } ifelse
+} def
+
+/proj-pst-chemin {
+ solidlinewidth setlinewidth
+ 1 dict begin
+ newpath
+ /cercle {cercle_} def
+ path
+ linecolor
+ gere_pstricks_proj_opt
+ end
+} def
+
+/proj-pst-courbeR2 {
+ l@pl@n plangetrange aload pop
+ setyrange setxrange
+ newpath
+ xmin ymin l@pl@n pointplan smoveto
+ xmin ymax l@pl@n pointplan slineto
+ xmax ymax l@pl@n pointplan slineto
+ xmax ymin l@pl@n pointplan slineto
+ xmin ymin l@pl@n pointplan slineto
+ planprojpst projpath
+ clip
+ solidlinewidth setlinewidth
+ newpath
+ linecolor
+ range aload pop { function cvx exec } CourbeR2_
+ gere_pstricks_proj_opt
+} def
+
+/proj-pst-courbe {
+ l@pl@n plangetrange aload pop
+ setyrange setxrange
+ newpath
+ xmin ymin l@pl@n pointplan smoveto
+ xmin ymax l@pl@n pointplan slineto
+ xmax ymax l@pl@n pointplan slineto
+ xmax ymin l@pl@n pointplan slineto
+ xmin ymin l@pl@n pointplan slineto
+ planprojpst projpath
+ clip
+ solidlinewidth setlinewidth
+ newpath
+ linecolor
+ range aload pop {} { function cvx exec } Courbeparam_
+ gere_pstricks_proj_opt
+} def
+
+/proj-pst-point {
+ [proj-args] length 0 eq {
+ xorigine yorigine /proj-args defpoint
+ } if
+ /projname where {
+ pop
+ [proj-args proj-definition cvx exec]
+ dup 0 getp projname cvlit defpoint
+ dup length 2 gt {
+ 1 getp projname (0) append cvlit defpoint
+ } if
+ /projname where pop /projname undef
+ } if
+ proj-action (none) eqstring not {
+ solidlinewidth setlinewidth
+ linecolor
+ [proj-args proj-definition cvx exec] 0 getp point_
+ gere_pstricks_proj_opt
+ Stroke
+ } if
+% 1 1 0 0 1 1 Diamond
+ texte length 0 gt {
+ proj-fontsize setfontsize
+ %setTimes
+ solidlinewidth setlinewidth
+ newpath
+ linecolor
+ texte [proj-args proj-definition cvx exec 0 0 phi neg rotatepoint] 0 getp
+ pos (text_) append cvx exec
+%% /planprojpst where {
+%% planprojpst dupplan dup phi rotateplan /planprojpst exch def
+%% pop
+%% xorigine yorigine
+%% 0 0 phi neg rotatepoint
+%% } {
+%% 0 0
+%% } ifelse
+ %gere_pstricks_proj_opt
+ planprojpst dupplan dup phi rotateplan projectionsifacevisible projpath
+ Fill
+ } if
+} def
+
+/proj-pst-vecteur {
+ proj-action (none) eqstring not {
+ planprojpst bprojscene
+ solidlinewidth setlinewidth
+ linestyle
+ linecolor
+ xorigine yorigine 2 copy proj-args proj-definition cvx exec addv drawvecteur
+ eprojscene
+ } if
+ /projname where {
+ pop
+ proj-args proj-definition cvx exec projname cvlit defpoint
+ /projname where pop /projname undef
+ } if
+} def
+
+/proj-pst-droite {
+ proj-action (none) eqstring not {
+ l@pl@n plangetrange aload pop
+ setyrange setxrange
+%% newpath
+%% xmin ymin l@pl@n pointplan smoveto
+%% xmin ymax l@pl@n pointplan slineto
+%% xmax ymax l@pl@n pointplan slineto
+%% xmax ymin l@pl@n pointplan slineto
+%% xmin ymin l@pl@n pointplan smoveto
+%% planprojpst projpath
+%% clip
+ planprojpst bprojscene
+ solidlinewidth setlinewidth
+ linestyle
+ linecolor
+ proj-args proj-definition cvx exec droite
+ eprojscene
+ } if
+ /projname where {
+ pop
+ proj-args proj-definition cvx exec projname cvlit defdroite
+ /projname where pop /projname undef
+ } if
+} def
+
+/proj-pst-polygone {
+ proj-action (none) eqstring not {
+ l@pl@n plangetrange aload pop
+ setyrange setxrange
+ newpath
+ xmin ymin l@pl@n pointplan smoveto
+ xmin ymax l@pl@n pointplan slineto
+ xmax ymax l@pl@n pointplan slineto
+ xmax ymin l@pl@n pointplan slineto
+ xmin ymin l@pl@n pointplan slineto
+ planprojpst projpath
+ clip
+ solidlinewidth setlinewidth
+ linestyle
+ linecolor
+ proj-definition length 0 eq {
+ [proj-args]
+ } {
+ proj-args
+ } ifelse
+ proj-definition cvx exec polygone_
+ planprojpst projectionsifacevisible projpath
+ } if
+ /projname where {
+ pop
+ proj-definition length 0 eq {
+ [proj-args]
+ } {
+ proj-args
+ } ifelse
+ proj-definition cvx exec projname cvlit exch def
+ /projname where pop /projname undef
+ } if
+} def
+
+/proj-pst-cercle {
+ /projname where {
+ pop
+ proj-args proj-definition cvx exec projname cvlit defcercle
+ /projname where pop /projname undef
+ } if
+ proj-action (none) eqstring not {
+ l@pl@n plangetrange aload pop
+ setyrange setxrange
+%% newpath
+%% xmin ymin l@pl@n pointplan smoveto
+%% xmin ymax l@pl@n pointplan slineto
+%% xmax ymax l@pl@n pointplan slineto
+%% xmax ymin l@pl@n pointplan slineto
+%% xmin ymin l@pl@n pointplan slineto
+%% planprojpst projpath
+%% clip
+ solidlinewidth setlinewidth
+ linestyle
+ linecolor
+ newpath
+ range aload pop proj-args
+ proj-definition cvx exec Cercle_
+ planprojpst projectionsifacevisible projpath
+ } if
+} def
+
+/proj-pst-line {
+ proj-action (none) eqstring not {
+ l@pl@n plangetrange aload pop
+ setyrange setxrange
+%% newpath
+%% xmin ymin l@pl@n pointplan smoveto
+%% xmin ymax l@pl@n pointplan slineto
+%% xmax ymax l@pl@n pointplan slineto
+%% xmax ymin l@pl@n pointplan slineto
+%% xmin ymin l@pl@n pointplan slineto
+%% planprojpst projpath
+%% clip
+ planprojpst bprojscene
+ solidlinewidth setlinewidth
+ linestyle
+ linecolor
+ proj-definition length 0 eq {
+ [proj-args]
+ } {
+ proj-args
+ } ifelse
+ proj-definition cvx exec ligne
+ eprojscene
+ } if
+ /projname where {
+ pop
+ proj-definition length 0 eq {
+ [proj-args]
+ } {
+ proj-args
+ } ifelse
+ proj-definition cvx exec projname cvlit exch def
+ /projname where pop /projname undef
+ } if
+} def
+
+/proj-pst-rightangle {
+ proj-action (none) eqstring not {
+ planprojpst bprojscene
+ solidlinewidth setlinewidth
+ linestyle
+ linecolor
+ proj-args proj-definition cvx exec angledroit
+ eprojscene
+ } if
+} def
+
+/proj-pst-texte {
+2 dict begin
+ proj-fontsize setfontsize
+ %setTimes
+ 1 gere_pstfont
+ solidlinewidth setlinewidth
+ newpath
+ linecolor
+ texte
+ /planprojpst where {
+ planprojpst dupplan dup phi rotateplan /planprojpst exch def
+ pop
+ xorigine yorigine
+ 0 0 phi neg rotatepoint
+ } {
+ 0 0
+ } ifelse
+ pos (text_) append cvx exec
+ gere_pstricks_proj_opt
+Fill
+end
+} def
+
+% END solides.pro
+
+%%EndProcSet
+%%BeginProcSet: pst-3d.pro 0 0
+%% $Id: pst-3d.pro 247 2010-01-04 22:45:42Z herbert $
+% PostScript prologue for pst-3d.tex.
+% Version 0.01, 2010/01/01
+%
+/tx@3Ddict 300 dict def
+tx@3Ddict begin
+%
+/SetMatrixThreeD {
+ dup sin /e ED cos /f ED
+ /p3 ED /p2 ED /p1 ED
+ p1 0 eq
+ { /a 0 def /b p2 0 le { 1 } { -1 } ifelse def
+ p3 p2 abs
+ }
+ { p2 0 eq
+ { /a p1 0 lt { -1 } { 1 } ifelse def /b 0 def
+ p3 p1 abs
+ }
+ { p1 dup mul p2 dup mul add sqrt dup
+ p1 exch div /a ED
+ p2 exch div neg /b ED
+ p3 p1 a div
+ }
+ ifelse
+ }
+ ifelse
+ atan dup sin /c ED cos /d ED
+ /Matrix3D
+ [
+ b f mul c a mul e mul sub
+ a f mul c b mul e mul add
+ d e mul
+ b e mul neg c a mul f mul sub
+ a e mul neg c b mul f mul add
+ d f mul
+ ] def
+} def
+%
+/ProjThreeD {
+ /z ED /y ED /x ED
+ Matrix3D aload pop
+ z mul exch y mul add exch x mul add
+ 4 1 roll
+ z mul exch y mul add exch x mul add
+ exch
+} def
+%
+/SetMatrixEmbed {
+ SetMatrixThreeD
+ Matrix3D aload pop
+ /z3 ED /z2 ED /z1 ED /x3 ED /x2 ED /x1 ED
+ SetMatrixThreeD
+ [
+ Matrix3D aload pop
+ z3 mul exch z2 mul add exch z1 mul add 4 1 roll
+ z3 mul exch z2 mul add exch z1 mul add
+ Matrix3D aload pop
+ x3 mul exch x2 mul add exch x1 mul add 4 1 roll
+ x3 mul exch x2 mul add exch x1 mul add
+ 3 -1 roll 3 -1 roll 4 -1 roll 8 -3 roll 3 copy
+ x3 mul exch x2 mul add exch x1 mul add 4 1 roll
+ z3 mul exch z2 mul add exch z1 mul add
+ ]
+ concat
+} def
+%
+/TMSave {
+ tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if
+ /TMatrix [ TMatrix CM ] cvx def
+} def
+%
+/TMRestore { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def
+%
+/TMChange {
+ TMSave
+ /cp [ currentpoint ] cvx def % ??? Check this later.
+ CM
+ CP T STV
+ CM matrix invertmatrix % Inv(M')
+ matrix concatmatrix % M Inv(M')
+ exch exec
+ concat cp moveto
+} def
+%
+end % of tx@3Ddict
+%%
+%% End of file `pst-3d.pro'.
+
+%%EndProcSet
+%%BeginProcSet: pst-math.pro 0 0
+% -*- Mode: Postscript -*-
+% pst-math.pro --- PostScript header file pst-math.pro
+%
+% Author : Christophe JORSSEN
+% Author : Herbert VoĂź <hvoss@tug.org>
+% Created the : Sat 20 March 2004
+% Last Mod : $Date: 2010/09/29 $
+% Version : 0.6 $
+%
+/PI 3.14159265359 def
+/ENeperian 2.71828182846 def
+%
+/DegToRad {PI mul 180 div} bind def
+/RadToDeg {180 mul PI div} bind def
+%
+/COS {RadToDeg cos} bind def
+/SIN {RadToDeg sin} bind def
+/TAN {dup SIN exch COS Div} bind def
+/tan {dup sin exch cos Div} bind def
+/ATAN {neg -1 atan 180 sub DegToRad} bind def
+/ACOS {dup dup mul neg 1 add sqrt exch atan DegToRad} bind def
+/acos {dup dup mul neg 1 add sqrt exch atan} bind def
+/ASIN {neg dup dup mul neg 1 add sqrt neg atan 180 sub DegToRad} bind def
+/asin {neg dup dup mul neg 1 add sqrt neg atan 180 sub} bind def
+%
+/EXP {ENeperian exch exp} bind def
+%
+/COSH {dup EXP exch neg EXP add 2 div} bind def
+/SINH {dup EXP exch neg EXP sub 2 div} bind def
+/TANH {dup SINH exch COSH div} bind def
+/ACOSH {dup dup mul 1 sub sqrt add ln} bind def
+/ASINH {dup dup mul 1 add sqrt add ln} bind def
+/ATANH {dup 1 add exch neg 1 add Div ln 2 div} bind def
+%
+%/SINC {dup SIN exch Div} bind def
+/SINC { dup 0 eq { pop 1 } { dup SIN exch div } ifelse } bind def
+%
+/GAUSS {dup mul 2 mul dup 4 -2 roll sub dup mul exch div neg EXP exch PI mul sqrt div} bind def
+%
+/GAMMA { 2 dict begin % hv 2007-08-30
+ /z exch def
+ 1.000000000190015 % p(0)
+ 0 1 5 { % on stack is 0 1 2 3 4 5
+ dup % n-1 n-1
+ [ 76.18009172947146
+ -86.50532032941677
+ 24.0140982483091
+ -1.231739572450155
+ 0.1208650973866179E-2
+ -0.5395239384953E-5 ] exch get exch % p(n) n-1
+ 1 add z add div % p(n)/(z+n)
+ add % build the sum
+ } for
+ Pi 2 mul sqrt z div mul
+ z 5.5 add z 0.5 add exp mul ENeperian z 5.5 add neg exp mul
+ end } bind def
+%
+/GAMMALN {dup dup dup 5.5 add dup ln 3 -1 roll .5 add mul sub neg 1.000000000190015
+ 0 1 5 {
+ [76.18009172947146 -86.50532032941677 24.0140982483091 -1.231739572450155
+ .1208650973866179E-2 -.5395239384953E-5 2.5066282746310005] exch get
+ 4 -1 roll 1 add dup 5 1 roll div add} for
+ 4 -1 roll div 2.5066282746310005 mul ln add exch pop} bind def
+/BETA {2 copy add GAMMALN neg exch GAMMALN 3 -1 roll GAMMALN EXP} bind def
+%
+/HORNER {aload length
+ dup 2 add -1 roll
+ exch 1 sub {
+ dup 4 1 roll
+ mul add exch
+ } repeat
+ pop
+} bind def
+%
+/BESSEL_J0 {dup abs 8 lt {
+ dup mul dup [57568490574 -13362590354 651619640.7 -11214424.18 77392.33017 -184.9052456] HORNER
+ exch [57568490411 1029532985 9494680.718 59272.64853 267.8532712 1] HORNER
+ Div}
+ {abs dup .636619772 exch div sqrt exch dup .785398164 sub exch 8 exch div dup dup mul dup
+ [1 -1.098628627E-2 .2734510407E-4 -.2073370639E-5 .2093887211E-6] HORNER
+ 3 index COS mul
+ exch [-.1562499995E-1 .1430488765E-3 -.6911147651E-5 .7621095161E-6 -.934945152E-7] HORNER
+ 4 -1 roll SIN mul 3 -1 roll mul neg add mul}
+ ifelse} bind def
+%
+/BESSEL_Y0 {dup 8 lt {
+ dup dup mul dup [-2957821389 7062834065 -512359803.6 10879881.29 -86327.92757 228.4622733] HORNER
+ exch [40076544269 745249964.8 7189466.438 47447.26470 226.1030244 1] HORNER
+ Div exch dup ln exch BESSEL_J0 .636619772 mul mul add}
+ {dup .636619772 exch div sqrt exch dup .785398164 sub exch 8 exch div dup dup mul dup
+ [1 -.1098628627E-2 .2734510407E-4 -.2073370639E-5 .2093887211E-6] HORNER
+ 3 index SIN mul
+ exch [-.1562499995E-1 .1430488765E-3 -.6911147651E-5 .7621095161E-6 -.934945152E-7] HORNER
+ 4 -1 roll COS mul 3 -1 roll mul add mul}
+ ifelse} bind def
+%
+/BESSEL_J1 {dup abs 8 lt {
+ dup dup mul dup 3 -2 roll [72362614232 -7895059235 242396853.1 -2972611.439 15704.48260 -30.16036606] HORNER mul
+ exch [144725228442 2300535178 18583304.74 99447.43394 376.9991397 1] HORNER
+ Div}
+ {dup abs dup .636619772 exch div sqrt exch dup 2.356194491 sub exch 8 exch div dup dup mul dup
+ [1 .183105E-2 -.3516396496E-4 .2457520174E-5 -.240337019E-6] HORNER
+ 3 index COS mul
+ exch [.04687499995 6.2002690873E-3 .8449199096E-5 -.88228987E-6 .105787412E-6] HORNER
+ 4 -1 roll SIN mul 3 -1 roll mul neg add mul exch dup abs Div mul}
+ ifelse} bind def
+%
+/BESSEL_Y1 {dup 8 lt {
+ dup dup dup mul dup [-.4900604943E13 .1275274390E13 -.5153428139E11 .7349264551E9 -.4237922726E7 .8511937935E4] HORNER
+ exch [.2499580570E14 .4244419664E12 .3733650367E10 .2245904002E8 .1020426050E6 .3549632885E3 1] HORNER
+ Div mul exch dup dup ln exch BESSEL_J1 mul exch 1 exch div sub .636619772 mul add}
+ {dup .636619772 exch div sqrt exch dup 2.356194491 sub exch 8 exch div dup dup mul dup
+ [1 .183105E-2 -.3516396496E-4 .2457520174E-5 -.240337019E-6] HORNER
+ 3 index SIN mul
+ exch [.04687499995 -.2002690873E-3 .8449199096E-5 6.88228987E-6 .105787412E-6] HORNER
+ 4 -1 roll COS mul 3 -1 roll mul add mul}
+ ifelse} bind def
+%
+% En cours...
+/BESSEL_Yn {dup 0 eq {pop BESSEL_Y0}{dup 1 eq {pop BESSEL_Y1}{
+ exch dup BESSEL_Y0 exch dup BESSEL_Y1 exch 2 exch Div {
+ mul 3 -1 roll mul 2 index sub pstack} for
+ } ifelse } ifelse } bind def
+%
+/SIMPSON { 1 dict begin %% on stack a b var f ierr Dominik Rodriguez
+ 3 index 5 index sub % compute h
+ 1 % a b var f ierr h n
+ 4 index 7 index def 3 index exec % a b var f ierr h n f(a)
+ 5 index 7 index def 4 index exec add % a b var f ierr h n f(a)+f(b)
+ 5 index 8 index 4 index 2 div add def 4 index exec % a b var f ierr h n f(a)+f(b) f(a+h/2)
+ exch 1 index 4 mul add 0 % a b var f ierr h n old=f(a+h/2) Estim=f(a)+f(b)+4f(a+h/2) NbLoop
+ { % a b var f ierr h n old Estim NbLoop
+ 5 -1 roll 2 div dup 6 1 roll % h<-h/2
+ 5 -1 roll 2 mul 5 1 roll % n<-2n
+ % a b var f ierr h n old Estim NbLoop h
+ 2 div 10 index add 0 % a b var f ierr h n old Estim NbLoop a+h/2 Cumul
+ 5 index {
+ 1 index 10 index exch def 8 index exec add exch 6 index add exch
+ } repeat % a b var f ierr h n old Estim NbLoop a+nh/2 Cumul
+ exch pop % a b var f ierr h n old Estim NbLoop New
+ 2 index 1 index 4 mul 6 -1 roll 2 mul sub sub % a b var f ierr h n Estim NbLoop New Diff
+ 4 -1 roll 2 mul 1 index sub 4 1 roll % a b var f ierr h n Estim NbLoop New Diff
+ exch 4 1 roll % a b var f ierr h n old Estim NbLoop Diff
+ 5 index 6 div mul abs 6 index lt { exit } if
+ 1 add dup 9 eq { exit } if
+ } loop % a b var f ierr h n old Estim NbLoop
+ exch 5 -1 roll 6 div mul mark 10 2 roll cleartomark
+end
+} def
+% ------------------------------------ math stuff ----------------------------------
+%
+% Matrix A in arrays of rows A[[row1][row2]...]
+% with [row1]=[a11 a12 ... b1]
+% returns on stack solution vector X=[x1 x2 ... xn]
+/SolveLinEqSystem { % on stack matrix M=[A,b] (A*x=b)
+ 10 dict begin % hold all ocal
+ /A exch def
+ /Rows A length def % Rows = number of rows
+ /Cols A 0 get length def % Cols = number of columns
+ /Index [ 0 1 Rows 1 sub { } for ] def % Index = [0 1 2 ... Rows-1]
+ /col 0 def
+ /row 0 def
+ /PR Rows array def % PR[c] = pivot row for row row
+ { % starts the loop, find pivot entry in row r
+ col Cols ge row Rows ge or { exit } if % col < Cols and row < Rows else exit
+ /pRow row def % pRow = pivot row
+ /max A row get col get abs def % get A[row[col]], first A[0,0]
+ row 1 add 1 Rows 1 sub { % starts for loop 1 1 Rows-1
+ /j exch def % index counter
+ /x A j get col get abs def % get A[j[r]]
+ x max gt { % x>max, then save position
+ /pRow j def
+ /max x def
+ } if
+ } for % now we have the row with biggest A[0,1]
+ % with pRow = the pivot row
+ max 0 gt { % swap entries pRow and row in i
+ /tmp Index row get def
+ Index row Index pRow get put
+ Index pRow tmp put % and columns pRow and row in A
+ /tmp A row get def
+ A row A pRow get put
+ A pRow tmp put % pivot
+ /row0 A row get def % the pivoting row
+ /p0 row0 col get def % the pivot value
+ row 1 add 1 Rows 1 sub { % start for loop
+ /j exch def
+ /c1 A j get def
+ /p c1 col get p0 div def
+ c1 col p put % subtract (p1/p0)*row[i] from row[j]
+ col 1 add 1 Cols 1 sub { % start for loop
+ /i exch def
+ c1 dup i exch % c1 i c1
+ i get row0 i get p mul sub put
+ } for
+ } for
+ PR row col put
+ /col col 1 add def
+ /row row 1 add def
+ }{ % all zero entries
+ /row row 1 add def % continue loop with same row
+ } ifelse
+ } loop
+ /X A def % solution vector
+ A Rows 1 sub get dup
+ Cols 1 sub get exch
+ Cols 2 sub get div
+ X Rows 1 sub 3 -1 roll put % X[n]
+ Rows 2 sub -1 0 { % for loop to calculate X[i]
+ /xi exch def % current index
+ A xi get % i-th row
+ /Axi exch def
+ /sum 0 def
+ Cols 2 sub -1 xi 1 add {
+ /n exch def
+ /sum sum Axi n get X n get mul add def
+ } for
+ Axi Cols 1 sub get % b=Axi[Cols-1]
+ sum sub % b-sum
+ Axi xi get div % b-sum / Axi[xi]
+ X xi 3 -1 roll put % X[xi]
+ } for
+ X
+ end
+} def
+%
+/c@_0 2.515517 def
+/c@_1 0.802853 def
+/c@_2 0.010328 def
+/d@_1 1.432788 def
+/d@_2 0.189269 def
+/d@_3 0.001308 def
+/norminv {
+ 5 dict begin
+ neg 1 add 1 exch div ln 2 mul sqrt
+ /t exch def
+ /t2 t dup mul def
+ /t3 t2 t mul def
+ c@_0 c@_1 t mul add c@_2 t2 mul add 1 d@_1 t mul add
+ d@_2 t2 mul add d@_3 t3 mul add div neg t add
+ end
+} def
+%end{norminv Michael Sharpe}
+%
+%
+% END pst-math.pro
+
+%%EndProcSet
+%%BeginProcSet: pstricks-add.pro 0 0
+%% $Id: pstricks-add.pro 692 2012-06-04 06:47:40Z herbert $
+%%
+% PostScript prologue for pstricks-add.tex.
+%
+% Version 0.23, 2009/12/17
+%
+/tx@addDict 410 dict def tx@addDict begin
+%%
+realtime srand % set random generator
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+/GTriangle {
+ gsave
+ /mtrx CM def
+ /colorA ED /colorB ED /colorC ED % save the colors
+ /yA ED /xA ED % save the origin
+ xA yA translate
+ rotate % \psk@gangle
+ /yB ED /xB ED /yC ED /xC ED % save other coordinates
+ /ds [ % save data in a array
+ 0 0 0 colorA aload pop % fd x y xr xg xb
+ 0 xB xA sub yB yA sub colorB aload pop
+ 0 xC xA sub yC yA sub colorC aload pop
+% 1 xC xB add yB colorA aload pop % for use with 4 points ABCD
+ ] def
+ newpath
+ <<
+ /ShadingType 4 % single Gouraud
+ /ColorSpace [ /DeviceRGB ]
+ /DataSource ds
+ >>
+ shfill
+ closepath
+ mtrx
+ setmatrix grestore} def
+%
+/RGBtoCMYK { % on stack r g b -> C M Y K
+ 3 dict begin
+ /Blue ED /Green ED /Red ED
+ 1 Red sub % Cyan
+ 1 Green sub % Magenta
+ 1 Blue sub % Yellow
+ 0 % Black
+ end
+} def
+%
+/CMYKtoGRAY { % on stack c m y k -> gray
+ exch 0.11 mul add
+ exch 0.59 mul add
+ exch 0.3 mul add
+ dup 1 gt { pop 1 } if
+ neg 1 add
+} def
+%
+/RGBtoGRAY { % on stack r g b -> gray
+ 0.11 mul
+ exch 0.59 mul add
+ exch 0.3 mul add
+} def
+%
+/HSBtoGRAY {
+ 6 dict begin
+ /b exch def
+ /s exch def 6 mul dup cvi dup
+ /i exch def sub
+ /f exch def
+ /F [[0 1 f sub 1][f 0 1][1 0 1 f sub][1 f 0][1 f sub 1 0][0 1 f][0 1 1]] def
+ F i get { s mul neg 1 add b mul} forall
+ 0.11 mul
+ exch 0.59 mul add
+ exch 0.3 mul add
+ end
+} def
+%
+%% convertisseur longueur d'onde ->R,G,B Manuel Luque
+%% lambda max=780 nanometres
+%% lambda min=380 nanometres
+%% adaptation de :
+%% http://www.physics.sfasu.edu/astro/color.html
+%% www.efg2.com/lab
+%
+/Gamma 0.8 def
+/calculateRGB {
+ lambda 379 le {/Red 0 def /Green 0 def /Blue 0 def} if
+ lambda 781 ge {/Red 0 def /Green 0 def /Blue 0 def} if
+ lambda 380 ge {lambda 439 le {
+ /R {lambda 440 sub neg 440 380 sub div} def
+ /Red R factor mul Gamma exp def
+ /G 0 def
+ /Green G factor mul Gamma exp def
+ /B 1 def
+ /Blue B factor mul Gamma exp def} if
+ } if
+ lambda 440 ge { lambda 489 le {
+ /G {lambda 440 sub 490 440 sub div} def
+ /Green G factor mul Gamma exp def
+ /R 0 def /Red 0 def
+ /B 1 def
+ /Blue B factor mul Gamma exp def } if
+ } if
+ lambda 490 ge {lambda 509 le {
+ /B {lambda 510 sub neg 510 490 sub div} def
+ /Blue B factor mul Gamma exp def
+ /R 0 def /Red 0 def
+ /G 1 def
+ /Green G factor mul Gamma exp def } if
+ } if
+ lambda 510 ge {lambda 579 le {
+ /R {lambda 510 sub 580 510 sub div } def
+ /Red R factor mul Gamma exp def
+ /Blue 0 def
+ /G 1 def
+ /Green G factor mul Gamma exp def } if
+ } if
+ lambda 580 ge {lambda 644 le {
+ /G {lambda 645 sub neg 645 580 sub div } def
+ /Green G factor mul Gamma exp def
+ /Blue 0 def
+ /R 1 def
+ /Red R factor mul Gamma exp def } if
+ } if
+ lambda 645 ge { lambda 780 le {
+ /Red 1 factor mul Gamma exp def
+ /Blue 0 def
+ /Green 0 def } if
+ } if
+} def
+%
+/factor {
+ lambda 380 ge {lambda 419 le { 0.3 0.7 lambda 380 sub mul 420 380 sub div add} if } if
+ lambda 420 ge {lambda 700 le { 1 } if } if
+ lambda 701 ge {lambda 780 le { 0.3 0.7 780 lambda sub mul 780 700 sub div add} if } if
+} def
+%
+/wavelengthToRGB { % the wavelength in nm must be on top of the stack
+ cvi /lambda exch def % no floating point here
+ calculateRGB
+} def % now the colors are saved in Red Green Blue
+%
+/wavelengthToGRAY { % the wavelength in nm must be on top of the stack
+ cvi /lambda exch def % no floating point here
+ calculateRGB
+ Red Green Blue RGBtoGRAY
+} def % now the gray color is on the stack
+%
+/wavelengthToCMYK { % the wavelength in nm must be on top of the stack
+ cvi /lambda exch def % no floating point here
+ gsave
+ calculateRGB Red Green Blue RGBtoCMYK
+ /Black ED /Yellow ED /Magenta ED /Cyan ED
+ grestore
+} def % now the colors are saved in Cyan Magenta Yellow Black
+%
+/axfill {
+ 8 dict begin
+ /xw exch def /nl exch def
+ /C1 exch def /y1 exch def/x1 exch def
+ /C0 exch def /y0 exch def/x0 exch def
+ << /ShadingType 2
+ /ColorSpace /DeviceRGB
+ /Coords [ x0 y0 x1 y1 ]
+ /EmulatorHints [ xw 2 div dup ]
+ /Function <<
+ /FunctionType 2
+ /Domain [0 1]
+ /C0 C0
+ /C1 C1
+ /N 1
+ >>
+ >> shfill
+ end
+} bind def
+%
+%/amplHand {.8} def
+%/dtHand 2 def
+/varHand { rand sin amplHand mul add } def
+/MovetoByHand { moveto } def
+%/MovetoByHand { /y0 ED /x0 ED x0 y0 moveto } def
+/LinetoByHand { 4 dict begin
+ /y1 ED /x1 ED
+ currentpoint /y0 ED /x0 ED
+ x0 x1 sub dup mul y0 y1 sub dup mul add sqrt /dEnd ED
+ 0 dtHand dEnd { dup
+ x1 x0 sub mul dEnd div x0 add varHand exch
+ y1 y0 sub mul dEnd div y0 add varHand lineto
+ } for
+% /x0 x1 def /y0 y1 def
+ end
+} def
+%
+end
+%
+% END pstricks-add.pro
+
+%%EndProcSet
+%%BeginProcSet: lm-ec.enc 0 0
+% This file belongs to the Latin Modern package. The work is released
+% under the GUST Font License. See the MANIFEST-Latin-Modern.txt and
+% README-Latin-Modern.txt files for the details. For the most recent version of
+% this license see http://www.gust.org.pl/fonts/licenses/GUST-FONT-LICENSE.txt
+% or http://tug.org/fonts/licenses/GUST-FONT-LICENSE.txt
+
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+/Ncaron
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+/Ohungarumlaut
+/Racute
+/Rcaron
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+/Uhungarumlaut
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+/Iacute
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+/Ntilde
+/Ograve
+/Oacute
+/Ocircumflex
+/Otilde
+/Odieresis
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+/Oslash
+/Ugrave
+/Uacute
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+/Germandbls
+/agrave
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+/ograve
+/oacute
+/ocircumflex
+/otilde
+/odieresis
+/oe
+/oslash
+/ugrave
+/uacute
+/ucircumflex
+/udieresis
+/yacute
+/thorn
+/germandbls
+] def
+
+%%EndProcSet
+%%BeginProcSet: lm-mathsy.enc 0 0
+% This file belongs to the Latin Modern package. The work is released under
+% the GUST Font License. See the MANIFEST-Latin-Modern.txt and
+% README-Latin-Modern.txt files for the details. For the most recent version of
+% this license see http://www.gust.org.pl/fonts/licenses/GUST-FONT-LICENSE.txt
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+% README-Latin-Modern.txt files for the details. For the most recent version of
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+% under the GUST Font License. See the MANIFEST-Latin-Modern.txt and
+% README-Latin-Modern.txt files for the details. For the most recent version of
+% this license see http://www.gust.org.pl/fonts/licenses/GUST-FONT-LICENSE.txt
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+%%EndProcSet
+%%BeginProcSet: 8r.enc 0 0
+% File 8r.enc TeX Base 1 Encoding Revision 2.0 2002-10-30
+%
+% @@psencodingfile@{
+% author = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry,
+% W. Schmidt, P. Lehman",
+% version = "2.0",
+% date = "27nov06",
+% filename = "8r.enc",
+% email = "tex-fonts@@tug.org",
+% docstring = "This is the encoding vector for Type1 and TrueType
+% fonts to be used with TeX. This file is part of the
+% PSNFSS bundle, version 9"
+% @}
+%
+% The idea is to have all the characters normally included in Type 1 fonts
+% available for typesetting. This is effectively the characters in Adobe
+% Standard encoding, ISO Latin 1, Windows ANSI including the euro symbol,
+% MacRoman, and some extra characters from Lucida.
+%
+% Character code assignments were made as follows:
+%
+% (1) the Windows ANSI characters are almost all in their Windows ANSI
+% positions, because some Windows users cannot easily reencode the
+% fonts, and it makes no difference on other systems. The only Windows
+% ANSI characters not available are those that make no sense for
+% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen
+% (173). quotesingle and grave are moved just because it's such an
+% irritation not having them in TeX positions.
+%
+% (2) Remaining characters are assigned arbitrarily to the lower part
+% of the range, avoiding 0, 10 and 13 in case we meet dumb software.
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+{restore}if
+%%EndFont
+%%BeginFont: LMMonoLt10-Bold
+%!PS-AdobeFont-1.0: LMMonoLt10-Bold 2.004
+%%CreationDate: 08.10.2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 784 216 0
+%%EndComments
+FontDirectory/LMMonoLt10-Bold known{/LMMonoLt10-Bold findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMonoLt10-Bold)readonly def
+/FamilyName(LMMonoLt10)readonly def
+/Weight(Bold)readonly def
+/isFixedPitch true def
+/ItalicAngle 0 def
+/UnderlinePosition -163 def
+/UnderlineThickness 82 def
+end readonly def
+/FontName /LMMonoLt10-Bold def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-454 -308 734 1039}readonly def
+currentdict end
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+%%EndFont
+%%BeginFont: MSAM7
+%!PS-AdobeFont-1.0: MSAM7 003.002
+%%Title: MSAM7
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name MSAM7.
+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
+% This license is in the accompanying file OFL.txt, and is also
+% available with a FAQ at: http://scripts.sil.org/OFL.
+%%EndComments
+FontDirectory/MSAM7 known{/MSAM7 findfont dup/UniqueID known{dup
+/UniqueID get 5032012 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /MSAM7 def
+/FontBBox {29 -552 1490 1102 }readonly def
+/UniqueID 5032012 def
+/PaintType 0 def
+/FontInfo 7 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name MSAM7.) readonly def
+/FullName (MSAM7) readonly def
+/FamilyName (Euler) readonly def
+/Weight (Medium) readonly def
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+/isFixedPitch false def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 114 /circleR put
+readonly def
+currentdict end
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: NimbusRomNo9L-Regu
+%!PS-AdobeFont-1.0: NimbusRomNo9L-Regu 1.05
+%%CreationDate: Wed Dec 22 1999
+% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development
+% (URW)++,Copyright 1999 by (URW)++ Design & Development
+% See the file COPYING (GNU General Public License) for license conditions.
+% As a special exception, permission is granted to include this font
+% program in a Postscript or PDF file that consists of a document that
+% contains text to be displayed or printed using this font, regardless
+% of the conditions or license applying to the document itself.
+12 dict begin
+/FontInfo 10 dict dup begin
+/version (1.05) readonly def
+/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def
+/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def
+/FullName (Nimbus Roman No9 L Regular) readonly def
+/FamilyName (Nimbus Roman No9 L) readonly def
+/Weight (Regular) readonly def
+/ItalicAngle 0.0 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/FontName /NimbusRomNo9L-Regu def
+/PaintType 0 def
+/WMode 0 def
+/FontBBox {-168 -281 1000 924} readonly def
+/FontType 1 def
+/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def
+/Encoding StandardEncoding def
+currentdict end
+currentfile eexec
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+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
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+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
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+%%CreationDate: 16th September 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMRoman7-Regular
+%!PS-AdobeFont-1.0: LMRoman7-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMRoman7-Regular known{/LMRoman7-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRoman7-Regular)readonly def
+/FamilyName(LMRoman7)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -102 def
+/UnderlineThickness 34 def
+end readonly def
+/FontName /LMRoman7-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
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+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-483 -292 1562 1124}readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMRomanCaps10-Regular
+%!PS-AdobeFont-1.0: LMRomanCaps10-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMRomanCaps10-Regular known{/LMRomanCaps10-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRomanCaps10-Regular)readonly def
+/FamilyName(LMRomanCaps10)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -146 def
+/UnderlineThickness 40 def
+end readonly def
+/FontName /LMRomanCaps10-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-496 -290 1501 1100}readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMSans10-Regular
+%!PS-AdobeFont-1.0: LMSans10-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMSans10-Regular known{/LMSans10-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMSans10-Regular)readonly def
+/FamilyName(LMSans10)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -146 def
+/UnderlineThickness 40 def
+end readonly def
+/FontName /LMSans10-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-420 -309 1431 1154}readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMSans8-Regular
+%!PS-AdobeFont-1.0: LMSans8-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMSans8-Regular known{/LMSans8-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMSans8-Regular)readonly def
+/FamilyName(LMSans8)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -117 def
+/UnderlineThickness 36 def
+end readonly def
+/FontName /LMSans8-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-446 -314 1510 1154}readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMRoman10-Bold
+%!PS-AdobeFont-1.0: LMRoman10-Bold 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMRoman10-Bold known{/LMRoman10-Bold findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRoman10-Bold)readonly def
+/FamilyName(LMRoman10)readonly def
+/Weight(Bold)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -146 def
+/UnderlineThickness 60 def
+end readonly def
+/FontName /LMRoman10-Bold def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-486 -295 1607 1133}readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMSans10-BoldOblique
+%!PS-AdobeFont-1.0: LMSans10-BoldOblique 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMSans10-BoldOblique known{/LMSans10-BoldOblique findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMSans10-BoldOblique)readonly def
+/FamilyName(LMSans10)readonly def
+/Weight(Bold)readonly def
+/isFixedPitch false def
+/ItalicAngle -12 def
+/UnderlinePosition -146 def
+/UnderlineThickness 83 def
+end readonly def
+/FontName /LMSans10-BoldOblique def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-497 -297 1801 1134}readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMRoman10-Italic
+%!PS-AdobeFont-1.0: LMRoman10-Italic 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMRoman10-Italic known{/LMRoman10-Italic findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRoman10-Italic)readonly def
+/FamilyName(LMRoman10)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle -14.0362 def
+/UnderlinePosition -146 def
+/UnderlineThickness 40 def
+end readonly def
+/FontName /LMRoman10-Italic def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-458 -290 1386 1125}readonly def
+currentdict end
+currentfile eexec
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+%%EndFont
+%%BeginFont: LMMathSymbols10-Regular
+%!PS-AdobeFont-1.0: LMMathSymbols10-Regular 1.200
+%%CreationDate: 16th September 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 694 194 0
+%%EndComments
+FontDirectory/LMMathSymbols10-Regular known{/LMMathSymbols10-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.003)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMathSymbols10-Regular)readonly def
+/FamilyName(LMMathSymbols10)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle -14.0362 def
+/UnderlinePosition -146 def
+/UnderlineThickness 40 def
+end readonly def
+/FontName /LMMathSymbols10-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
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+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-29 -960 1116 775}readonly def
+currentdict end
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+{restore}if
+%%EndFont
+%%BeginFont: LMRoman10-Regular
+%!PS-AdobeFont-1.0: LMRoman10-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMRoman10-Regular known{/LMRoman10-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRoman10-Regular)readonly def
+/FamilyName(LMRoman10)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -146 def
+/UnderlineThickness 40 def
+end readonly def
+/FontName /LMRoman10-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-430 -290 1417 1127}readonly def
+currentdict end
+currentfile eexec
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+{restore}if
+%%EndFont
+%%BeginFont: LMRoman12-Regular
+%!PS-AdobeFont-1.0: LMRoman12-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMRoman12-Regular known{/LMRoman12-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRoman12-Regular)readonly def
+/FamilyName(LMRoman12)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -175 def
+/UnderlineThickness 44 def
+end readonly def
+/FontName /LMRoman12-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
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+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-422 -280 1394 1127}readonly def
+currentdict end
+currentfile eexec
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+%%EndFont
+%%BeginFont: LMMathItalic12-Regular
+%!PS-AdobeFont-1.0: LMMathItalic12-Regular 1.200
+%%CreationDate: 16th September 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 833 233 0
+%%EndComments
+FontDirectory/LMMathItalic12-Regular known{/LMMathItalic12-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.003)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMathItalic12-Regular)readonly def
+/FamilyName(LMMathItalic12)readonly def
+/Weight(Normal)readonly def
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+/ItalicAngle -14.0362 def
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+/UnderlineThickness 44 def
+end readonly def
+/FontName /LMMathItalic12-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
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+readonly def
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+/FontBBox{-31 -250 1026 750}readonly def
+currentdict end
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+%%EndFont
+%%BeginFont: LMMathItalic10-Regular
+%!PS-AdobeFont-1.0: LMMathItalic10-Regular 1.200
+%%CreationDate: 16th September 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 694 194 0
+%%EndComments
+FontDirectory/LMMathItalic10-Regular known{/LMMathItalic10-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.003)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMathItalic10-Regular)readonly def
+/FamilyName(LMMathItalic10)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle -14.0362 def
+/UnderlinePosition -146 def
+/UnderlineThickness 40 def
+end readonly def
+/FontName /LMMathItalic10-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
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+readonly def
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+{restore}if
+%%EndFont
+%%BeginFont: LMRoman9-Regular
+%!PS-AdobeFont-1.0: LMRoman9-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMRoman9-Regular known{/LMRoman9-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRoman9-Regular)readonly def
+/FamilyName(LMRoman9)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -131 def
+/UnderlineThickness 38 def
+end readonly def
+/FontName /LMRoman9-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
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+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-443 -292 1454 1128}readonly def
+currentdict end
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+%%EndFont
+%%BeginFont: LMRomanSlant8-Regular
+%!PS-AdobeFont-1.0: LMRomanSlant8-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMRomanSlant8-Regular known{/LMRomanSlant8-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRomanSlant8-Regular)readonly def
+/FamilyName(LMRomanSlant8)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle -9.4626 def
+/UnderlinePosition -117 def
+/UnderlineThickness 36 def
+end readonly def
+/FontName /LMRomanSlant8-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
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+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-483 -292 1526 1125}readonly def
+currentdict end
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMMono8-Regular
+%!PS-AdobeFont-1.0: LMMono8-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 778 222 0
+%%EndComments
+FontDirectory/LMMono8-Regular known{/LMMono8-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMono8-Regular)readonly def
+/FamilyName(LMMono8)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch true def
+/ItalicAngle 0 def
+/UnderlinePosition -133 def
+/UnderlineThickness 61 def
+end readonly def
+/FontName /LMMono8-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-456 -320 743 1014}readonly def
+currentdict end
+currentfile eexec
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+%%EndFont
+%%BeginFont: LMMonoSlant10-Regular
+%!PS-AdobeFont-1.0: LMMonoSlant10-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 778 222 0
+%%EndComments
+FontDirectory/LMMonoSlant10-Regular known{/LMMonoSlant10-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMonoSlant10-Regular)readonly def
+/FamilyName(LMMonoSlant10)readonly def
+/Weight(Normal)readonly def
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+/UnderlinePosition -167 def
+/UnderlineThickness 69 def
+end readonly def
+/FontName /LMMonoSlant10-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
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+readonly def
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMMono10-Regular
+%!PS-AdobeFont-1.0: LMMono10-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 778 222 0
+%%EndComments
+FontDirectory/LMMono10-Regular known{/LMMono10-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMono10-Regular)readonly def
+/FamilyName(LMMono10)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch true def
+/ItalicAngle 0 def
+/UnderlinePosition -167 def
+/UnderlineThickness 69 def
+end readonly def
+/FontName /LMMono10-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
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+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-451 -316 731 1016}readonly def
+currentdict end
+currentfile eexec
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+{restore}if
+%%EndFont
+%%BeginFont: LMMono10-Italic
+%!PS-AdobeFont-1.0: LMMono10-Italic 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 778 222 0
+%%EndComments
+FontDirectory/LMMono10-Italic known{/LMMono10-Italic findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMono10-Italic)readonly def
+/FamilyName(LMMono10)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch true def
+/ItalicAngle -14.0362 def
+/UnderlinePosition -167 def
+/UnderlineThickness 69 def
+end readonly def
+/FontName /LMMono10-Italic def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
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+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-491 -316 834 1016}readonly def
+currentdict end
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+%!PS-AdobeFont-1.0: LMRomanSlant9-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMMono9-Regular
+%!PS-AdobeFont-1.0: LMMono9-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 778 222 0
+%%EndComments
+FontDirectory/LMMono9-Regular known{/LMMono9-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMono9-Regular)readonly def
+/FamilyName(LMMono9)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch true def
+/ItalicAngle 0 def
+/UnderlinePosition -150 def
+/UnderlineThickness 67 def
+end readonly def
+/FontName /LMMono9-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-451 -318 734 1016}readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMRoman6-Regular
+%!PS-AdobeFont-1.0: LMRoman6-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMRoman6-Regular known{/LMRoman6-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRoman6-Regular)readonly def
+/FamilyName(LMRoman6)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -88 def
+/UnderlineThickness 31 def
+end readonly def
+/FontName /LMRoman6-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-515 -298 1647 1125}readonly def
+currentdict end
+currentfile eexec
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+%%EndFont
+%%BeginFont: LMSans10-Bold
+%!PS-AdobeFont-1.0: LMSans10-Bold 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMSans10-Bold known{/LMSans10-Bold findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMSans10-Bold)readonly def
+/FamilyName(LMSans10)readonly def
+/Weight(Bold)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -146 def
+/UnderlineThickness 83 def
+end readonly def
+/FontName /LMSans10-Bold def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
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+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-460 -297 1761 1134}readonly def
+currentdict end
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMRoman17-Regular
+%!PS-AdobeFont-1.0: LMRoman17-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 805 195 0
+%%EndComments
+FontDirectory/LMRoman17-Regular known{/LMRoman17-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRoman17-Regular)readonly def
+/FamilyName(LMRoman17)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -252 def
+/UnderlineThickness 60 def
+end readonly def
+/FontName /LMRoman17-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-400 -286 1338 1125}readonly def
+currentdict end
+currentfile eexec
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+{restore}if
+%%EndFont
+%%BeginFont: LMMathItalic8-Regular
+%!PS-AdobeFont-1.0: LMMathItalic8-Regular 1.200
+%%CreationDate: 16th September 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 556 156 0
+%%EndComments
+FontDirectory/LMMathItalic8-Regular known{/LMMathItalic8-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.003)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMathItalic8-Regular)readonly def
+/FamilyName(LMMathItalic8)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle -14.0362 def
+/UnderlinePosition -117 def
+/UnderlineThickness 36 def
+end readonly def
+/FontName /LMMathItalic8-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-24 -250 1110 750}readonly def
+currentdict end
+currentfile eexec
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+{restore}if
+%%EndFont
+%%BeginFont: LMMathExtension10-Regular
+%!PS-AdobeFont-1.0: LMMathExtension10-Regular 1.200
+%%CreationDate: 16th September 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 694 194 0
+%%EndComments
+FontDirectory/LMMathExtension10-Regular known{/LMMathExtension10-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.003)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMathExtension10-Regular)readonly def
+/FamilyName(LMMathExtension10)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -146 def
+/UnderlineThickness 40 def
+end readonly def
+/FontName /LMMathExtension10-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
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+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-24 -2960 1454 772}readonly def
+currentdict end
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+cleartomark
+{restore}if
+%%EndFont
+%%BeginFont: LMRoman8-Regular
+%!PS-AdobeFont-1.0: LMRoman8-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMRoman8-Regular known{/LMRoman8-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRoman8-Regular)readonly def
+/FamilyName(LMRoman8)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle 0 def
+/UnderlinePosition -117 def
+/UnderlineThickness 36 def
+end readonly def
+/FontName /LMRoman8-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-456 -292 1497 1125}readonly def
+currentdict end
+currentfile eexec
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+{restore}if
+%%EndFont
+%%BeginFont: LMRomanSlant10-Regular
+%!PS-AdobeFont-1.0: LMRomanSlant10-Regular 2.004
+%%CreationDate: 7th October 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 806 194 0
+%%EndComments
+FontDirectory/LMRomanSlant10-Regular known{/LMRomanSlant10-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.004)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMRomanSlant10-Regular)readonly def
+/FamilyName(LMRomanSlant10)readonly def
+/Weight(Normal)readonly def
+/isFixedPitch false def
+/ItalicAngle -9.4626 def
+/UnderlinePosition -146 def
+/UnderlineThickness 40 def
+end readonly def
+/FontName /LMRomanSlant10-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/PaintType 0 def
+/FontType 1 def
+/StrokeWidth 0 def
+/FontMatrix[0.001 0 0 0.001 0 0]readonly def
+%/UniqueID 0 def
+/FontBBox{-457 -290 1446 1127}readonly def
+currentdict end
+currentfile eexec
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+%%EndFont
+%%BeginFont: LMMathSymbols7-Regular
+%!PS-AdobeFont-1.0: LMMathSymbols7-Regular 1.200
+%%CreationDate: 16th September 2009
+% Generated by MetaType1 (a MetaPost-based engine)
+% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
+% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG.
+% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
+% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file.
+% ADL: 486 136 0
+%%EndComments
+FontDirectory/LMMathSymbols7-Regular known{/LMMathSymbols7-Regular findfont dup/UniqueID known{dup
+/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+17 dict begin
+/FontInfo 9 dict dup begin
+/version(2.003)readonly def
+/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
+/FullName(LMMathSymbols7-Regular)readonly def
+/FamilyName(LMMathSymbols7)readonly def
+/Weight(Normal)readonly def
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+/UnderlineThickness 34 def
+end readonly def
+/FontName /LMMathSymbols7-Regular def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
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+readonly def
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+currentdict end
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+%%BeginResource: procset Adobe_AGM_Utils 1.0 0
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+systemdict/setpacking known
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+ AGMUTIL_GSTATE begin
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+ AGMUTIL_GSTATE_clr_rnd setcolorrendering
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+ AGMUTIL_GSTATE_ucr cvx setundercolorremoval
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+ {
+ /imbufCnt imageDict/DataSource get length def
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+ imbufs imbufIdx imbufLen string put
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+ /Decode[0 1]def
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+ }if
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+ Indexed_DeviceN level3 not and DeviceN_NoneName or{
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+ {
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+ imageDict begin
+ /DataSource[AGMUTIL_imagefile Decode BitsPerComponent false 1/filter_indexed_devn load dstDataStr srcDataStrs devn_alt_datasource/exec cvx]cvx def
+ /Decode[0 1]def
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+ imageDict/Decode[0 1]put
+ }ifelse
+ }ifelse
+ imageDict exch
+ load exec
+ imageDict/DataSource origDataSource put
+ imageDict/MultipleDataSources origMultipleDataSources put
+ imageDict/Decode origDecode put
+ end
+}bdf
+/write_image_file
+{
+ begin
+ {(AGMUTIL_imagefile)(w+)file}stopped{
+ false
+ }{
+ Adobe_AGM_Utils/AGMUTIL_imagefile xddf
+ 2 dict begin
+ /imbufLen Width BitsPerComponent mul 7 add 8 idiv def
+ MultipleDataSources{DataSource 0 get}{DataSource}ifelse type/filetype eq{
+ /imbuf imbufLen string def
+ }if
+ 1 1 Height MultipleDataSources not{Decode length 2 idiv mul}if{
+ pop
+ MultipleDataSources{
+ 0 1 DataSource length 1 sub{
+ DataSource type dup
+ /arraytype eq{
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+ /filetype eq{
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+ }{
+ DataSource exch get
+ }ifelse
+ }ifelse
+ AGMUTIL_imagefile exch writestring
+ }for
+ }{
+ DataSource type dup
+ /arraytype eq{
+ pop DataSource exec
+ }{
+ /filetype eq{
+ DataSource imbuf readstring pop
+ }{
+ DataSource
+ }ifelse
+ }ifelse
+ AGMUTIL_imagefile exch writestring
+ }ifelse
+ }for
+ end
+ true
+ }ifelse
+ end
+}bdf
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+{
+ AGMUTIL_imagefile closefile(AGMUTIL_imagefile)deletefile
+}def
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+ /pstr statusdict/product get def
+ pstr(HP LaserJet 2200)eq
+ pstr(HP LaserJet 4000 Series)eq or
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+ pstr(HP LaserJet 8100 Series)eq or
+ pstr(HP LaserJet 8150 Series)eq or
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+ pstr(HP LaserJet 5Si)eq or
+ pstr(HP LaserJet 1200 Series)eq or
+ pstr(HP LaserJet 1300 Series)eq or
+ pstr(HP LaserJet 4100 Series)eq or
+ {
+ userdict/AGMP_current_show/show load put
+ userdict/show{
+ currentcolorspace 0 get
+ /Pattern eq
+ {false charpath f}
+ {AGMP_current_show}ifelse
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+}if
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+ AGMIMG_init_common
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+ MultipleDataSources
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+ DataSource 0 get type
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+ {
+ 1 dict begin
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+ {pop exit}if
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+ pop
+ }if
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+ end
+}bdf
+/addprocs
+{
+ 2{/exec load}repeat
+ 3 1 roll
+ [5 1 roll]bind cvx
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+ currentdict 2 index known{
+ 1 index load dup length dict copy begin
+ currentdict/TransferFunction known{
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+ currenttransfer
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+ addprocs/TransferFunction xdf
+ currentdict end def
+ currentdict end sethalftone
+ }{
+ currentdict/TransferFunction known{
+ /TransferFunction load
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+ currenttransfer
+ }ifelse
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+ currentdict end sethalftone
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+ Adobe_AGM_Core/AGMCORE_tmp -1 ddf
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+ {
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+ exch
+ clonedict
+ Adobe_AGM_Core/AGMCORE_tmp 4 -1 roll ddf
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+ dup type/arraytype eq
+ {
+ Adobe_AGM_Core/AGMCORE_tmp get exch
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+ Adobe_AGM_Core/AGMCORE_tmp 4 -1 roll ddf
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+ Adobe_AGM_Core/AGMCORE_tmp get 4 -1 roll put
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+ dup length dict
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+ dup type/dicttype eq
+ {clonedict}if
+ dup type/arraytype eq
+ {clonearray}if
+ def
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+}bdf
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+ dup/CSDBase known{
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+{
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+ pop
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+ {
+ (None)eq or
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+ false
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+}bdf
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+ /AGMCORE_in_rip_sep where
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+/AGMCORE_currentoverprint false def
+/AGMCORE_deltaX nd
+/AGMCORE_deltaY nd
+/AGMCORE_name nd
+/AGMCORE_sep_special nd
+/AGMCORE_err_strings 4 dict def
+/AGMCORE_cur_err nd
+/AGMCORE_current_spot_alias false def
+/AGMCORE_inverting false def
+/AGMCORE_feature_dictCount nd
+/AGMCORE_feature_opCount nd
+/AGMCORE_feature_ctm nd
+/AGMCORE_ConvertToProcess false def
+/AGMCORE_Default_CTM matrix def
+/AGMCORE_Default_PageSize nd
+/AGMCORE_Default_flatness nd
+/AGMCORE_currentbg nd
+/AGMCORE_currentucr nd
+/AGMCORE_pattern_paint_type 0 def
+/knockout_unitsq nd
+currentglobal true setglobal
+[/CSA/Gradient/Procedure]
+{
+ /Generic/Category findresource dup length dict copy/Category defineresource pop
+}forall
+setglobal
+/AGMCORE_key_known
+{
+ where{
+ /Adobe_AGM_Core_Id known
+ }{
+ false
+ }ifelse
+}ndf
+/flushinput
+{
+ save
+ 2 dict begin
+ /CompareBuffer 3 -1 roll def
+ /readbuffer 256 string def
+ mark
+ {
+ currentfile readbuffer{readline}stopped
+ {cleartomark mark}
+ {
+ not
+ {pop exit}
+ if
+ CompareBuffer eq
+ {exit}
+ if
+ }ifelse
+ }loop
+ cleartomark
+ end
+ restore
+}bdf
+/getspotfunction
+{
+ AGMCORE_screen exch pop exch pop
+ dup type/dicttype eq{
+ dup/HalftoneType get 1 eq{
+ /SpotFunction get
+ }{
+ dup/HalftoneType get 2 eq{
+ /GraySpotFunction get
+ }{
+ pop
+ {
+ abs exch abs 2 copy add 1 gt{
+ 1 sub dup mul exch 1 sub dup mul add 1 sub
+ }{
+ dup mul exch dup mul add 1 exch sub
+ }ifelse
+ }bind
+ }ifelse
+ }ifelse
+ }if
+}def
+/np
+{newpath}bdf
+/clp_npth
+{clip np}def
+/eoclp_npth
+{eoclip np}def
+/npth_clp
+{np clip}def
+/graphic_setup
+{
+ /AGMCORE_graphicsave save store
+ concat
+ 0 setgray
+ 0 setlinecap
+ 0 setlinejoin
+ 1 setlinewidth
+ []0 setdash
+ 10 setmiterlimit
+ np
+ false setoverprint
+ false setstrokeadjust
+ //Adobe_AGM_Core/spot_alias gx
+ /Adobe_AGM_Image where{
+ pop
+ Adobe_AGM_Image/spot_alias 2 copy known{
+ gx
+ }{
+ pop pop
+ }ifelse
+ }if
+ /sep_colorspace_dict null AGMCORE_gput
+ 100 dict begin
+ /dictstackcount countdictstack def
+ /showpage{}def
+ mark
+}def
+/graphic_cleanup
+{
+ cleartomark
+ dictstackcount 1 countdictstack 1 sub{end}for
+ end
+ AGMCORE_graphicsave restore
+}def
+/compose_error_msg
+{
+ grestoreall initgraphics
+ /Helvetica findfont 10 scalefont setfont
+ /AGMCORE_deltaY 100 def
+ /AGMCORE_deltaX 310 def
+ clippath pathbbox np pop pop 36 add exch 36 add exch moveto
+ 0 AGMCORE_deltaY rlineto AGMCORE_deltaX 0 rlineto
+ 0 AGMCORE_deltaY neg rlineto AGMCORE_deltaX neg 0 rlineto closepath
+ 0 AGMCORE_&setgray
+ gsave 1 AGMCORE_&setgray fill grestore
+ 1 setlinewidth gsave stroke grestore
+ currentpoint AGMCORE_deltaY 15 sub add exch 8 add exch moveto
+ /AGMCORE_deltaY 12 def
+ /AGMCORE_tmp 0 def
+ AGMCORE_err_strings exch get
+ {
+ dup 32 eq
+ {
+ pop
+ AGMCORE_str256 0 AGMCORE_tmp getinterval
+ stringwidth pop currentpoint pop add AGMCORE_deltaX 28 add gt
+ {
+ currentpoint AGMCORE_deltaY sub exch pop
+ clippath pathbbox pop pop pop 44 add exch moveto
+ }if
+ AGMCORE_str256 0 AGMCORE_tmp getinterval show( )show
+ 0 1 AGMCORE_str256 length 1 sub
+ {
+ AGMCORE_str256 exch 0 put
+ }for
+ /AGMCORE_tmp 0 def
+ }{
+ AGMCORE_str256 exch AGMCORE_tmp xpt
+ /AGMCORE_tmp AGMCORE_tmp 1 add def
+ }ifelse
+ }forall
+}bdf
+/AGMCORE_CMYKDeviceNColorspaces[
+ [/Separation/None/DeviceCMYK{0 0 0}]
+ [/Separation(Black)/DeviceCMYK{0 0 0 4 -1 roll}bind]
+ [/Separation(Yellow)/DeviceCMYK{0 0 3 -1 roll 0}bind]
+ [/DeviceN[(Yellow)(Black)]/DeviceCMYK{0 0 4 2 roll}bind]
+ [/Separation(Magenta)/DeviceCMYK{0 exch 0 0}bind]
+ [/DeviceN[(Magenta)(Black)]/DeviceCMYK{0 3 1 roll 0 exch}bind]
+ [/DeviceN[(Magenta)(Yellow)]/DeviceCMYK{0 3 1 roll 0}bind]
+ [/DeviceN[(Magenta)(Yellow)(Black)]/DeviceCMYK{0 4 1 roll}bind]
+ [/Separation(Cyan)/DeviceCMYK{0 0 0}]
+ [/DeviceN[(Cyan)(Black)]/DeviceCMYK{0 0 3 -1 roll}bind]
+ [/DeviceN[(Cyan)(Yellow)]/DeviceCMYK{0 exch 0}bind]
+ [/DeviceN[(Cyan)(Yellow)(Black)]/DeviceCMYK{0 3 1 roll}bind]
+ [/DeviceN[(Cyan)(Magenta)]/DeviceCMYK{0 0}]
+ [/DeviceN[(Cyan)(Magenta)(Black)]/DeviceCMYK{0 exch}bind]
+ [/DeviceN[(Cyan)(Magenta)(Yellow)]/DeviceCMYK{0}]
+ [/DeviceCMYK]
+]def
+/ds{
+ Adobe_AGM_Core begin
+ /currentdistillerparams where
+ {
+ pop currentdistillerparams/CoreDistVersion get 5000 lt
+ {<</DetectBlends false>>setdistillerparams}if
+ }if
+ /AGMCORE_ps_version xdf
+ /AGMCORE_ps_level xdf
+ errordict/AGM_handleerror known not{
+ errordict/AGM_handleerror errordict/handleerror get put
+ errordict/handleerror{
+ Adobe_AGM_Core begin
+ $error/newerror get AGMCORE_cur_err null ne and{
+ $error/newerror false put
+ AGMCORE_cur_err compose_error_msg
+ }if
+ $error/newerror true put
+ end
+ errordict/AGM_handleerror get exec
+ }bind put
+ }if
+ /AGMCORE_environ_ok
+ ps_level AGMCORE_ps_level ge
+ ps_version AGMCORE_ps_version ge and
+ AGMCORE_ps_level -1 eq or
+ def
+ AGMCORE_environ_ok not
+ {/AGMCORE_cur_err/AGMCORE_bad_environ def}if
+ /AGMCORE_&setgray systemdict/setgray get def
+ level2{
+ /AGMCORE_&setcolor systemdict/setcolor get def
+ /AGMCORE_&setcolorspace systemdict/setcolorspace get def
+ }if
+ /AGMCORE_currentbg currentblackgeneration def
+ /AGMCORE_currentucr currentundercolorremoval def
+ /AGMCORE_Default_flatness currentflat def
+ /AGMCORE_distilling
+ /product where{
+ pop systemdict/setdistillerparams known product(Adobe PostScript Parser)ne and
+ }{
+ false
+ }ifelse
+ def
+ /AGMCORE_GSTATE AGMCORE_key_known not{
+ /AGMCORE_GSTATE 21 dict def
+ /AGMCORE_tmpmatrix matrix def
+ /AGMCORE_gstack 32 array def
+ /AGMCORE_gstackptr 0 def
+ /AGMCORE_gstacksaveptr 0 def
+ /AGMCORE_gstackframekeys 14 def
+ /AGMCORE_&gsave/gsave ldf
+ /AGMCORE_&grestore/grestore ldf
+ /AGMCORE_&grestoreall/grestoreall ldf
+ /AGMCORE_&save/save ldf
+ /AGMCORE_&setoverprint/setoverprint ldf
+ /AGMCORE_gdictcopy{
+ begin
+ {def}forall
+ end
+ }def
+ /AGMCORE_gput{
+ AGMCORE_gstack AGMCORE_gstackptr get
+ 3 1 roll
+ put
+ }def
+ /AGMCORE_gget{
+ AGMCORE_gstack AGMCORE_gstackptr get
+ exch
+ get
+ }def
+ /gsave{
+ AGMCORE_&gsave
+ AGMCORE_gstack AGMCORE_gstackptr get
+ AGMCORE_gstackptr 1 add
+ dup 32 ge{limitcheck}if
+ /AGMCORE_gstackptr exch store
+ AGMCORE_gstack AGMCORE_gstackptr get
+ AGMCORE_gdictcopy
+ }def
+ /grestore{
+ AGMCORE_&grestore
+ AGMCORE_gstackptr 1 sub
+ dup AGMCORE_gstacksaveptr lt{1 add}if
+ dup AGMCORE_gstack exch get dup/AGMCORE_currentoverprint known
+ {/AGMCORE_currentoverprint get setoverprint}{pop}ifelse
+ /AGMCORE_gstackptr exch store
+ }def
+ /grestoreall{
+ AGMCORE_&grestoreall
+ /AGMCORE_gstackptr AGMCORE_gstacksaveptr store
+ }def
+ /save{
+ AGMCORE_&save
+ AGMCORE_gstack AGMCORE_gstackptr get
+ AGMCORE_gstackptr 1 add
+ dup 32 ge{limitcheck}if
+ /AGMCORE_gstackptr exch store
+ /AGMCORE_gstacksaveptr AGMCORE_gstackptr store
+ AGMCORE_gstack AGMCORE_gstackptr get
+ AGMCORE_gdictcopy
+ }def
+ /setoverprint{
+ dup/AGMCORE_currentoverprint exch AGMCORE_gput AGMCORE_&setoverprint
+ }def
+ 0 1 AGMCORE_gstack length 1 sub{
+ AGMCORE_gstack exch AGMCORE_gstackframekeys dict put
+ }for
+ }if
+ level3/AGMCORE_&sysshfill AGMCORE_key_known not and
+ {
+ /AGMCORE_&sysshfill systemdict/shfill get def
+ /AGMCORE_&sysmakepattern systemdict/makepattern get def
+ /AGMCORE_&usrmakepattern/makepattern load def
+ }if
+ /currentcmykcolor[0 0 0 0]AGMCORE_gput
+ /currentstrokeadjust false AGMCORE_gput
+ /currentcolorspace[/DeviceGray]AGMCORE_gput
+ /sep_tint 0 AGMCORE_gput
+ /devicen_tints[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]AGMCORE_gput
+ /sep_colorspace_dict null AGMCORE_gput
+ /devicen_colorspace_dict null AGMCORE_gput
+ /indexed_colorspace_dict null AGMCORE_gput
+ /currentcolor_intent()AGMCORE_gput
+ /customcolor_tint 1 AGMCORE_gput
+ /absolute_colorimetric_crd null AGMCORE_gput
+ /relative_colorimetric_crd null AGMCORE_gput
+ /saturation_crd null AGMCORE_gput
+ /perceptual_crd null AGMCORE_gput
+ currentcolortransfer cvlit/AGMCore_gray_xfer xdf cvlit/AGMCore_b_xfer xdf
+ cvlit/AGMCore_g_xfer xdf cvlit/AGMCore_r_xfer xdf
+ <<
+ /MaxPatternItem currentsystemparams/MaxPatternCache get
+ >>
+ setuserparams
+ end
+}def
+/ps
+{
+ /setcmykcolor where{
+ pop
+ Adobe_AGM_Core/AGMCORE_&setcmykcolor/setcmykcolor load put
+ }if
+ Adobe_AGM_Core begin
+ /setcmykcolor
+ {
+ 4 copy AGMCORE_cmykbuf astore/currentcmykcolor exch AGMCORE_gput
+ 1 sub 4 1 roll
+ 3{
+ 3 index add neg dup 0 lt{
+ pop 0
+ }if
+ 3 1 roll
+ }repeat
+ setrgbcolor pop
+ }ndf
+ /currentcmykcolor
+ {
+ /currentcmykcolor AGMCORE_gget aload pop
+ }ndf
+ /setoverprint
+ {pop}ndf
+ /currentoverprint
+ {false}ndf
+ /AGMCORE_cyan_plate 1 0 0 0 test_cmyk_color_plate def
+ /AGMCORE_magenta_plate 0 1 0 0 test_cmyk_color_plate def
+ /AGMCORE_yellow_plate 0 0 1 0 test_cmyk_color_plate def
+ /AGMCORE_black_plate 0 0 0 1 test_cmyk_color_plate def
+ /AGMCORE_plate_ndx
+ AGMCORE_cyan_plate{
+ 0
+ }{
+ AGMCORE_magenta_plate{
+ 1
+ }{
+ AGMCORE_yellow_plate{
+ 2
+ }{
+ AGMCORE_black_plate{
+ 3
+ }{
+ 4
+ }ifelse
+ }ifelse
+ }ifelse
+ }ifelse
+ def
+ /AGMCORE_have_reported_unsupported_color_space false def
+ /AGMCORE_report_unsupported_color_space
+ {
+ AGMCORE_have_reported_unsupported_color_space false eq
+ {
+ (Warning: Job contains content that cannot be separated with on-host methods. This content appears on the black plate, and knocks out all other plates.)==
+ Adobe_AGM_Core/AGMCORE_have_reported_unsupported_color_space true ddf
+ }if
+ }def
+ /AGMCORE_composite_job
+ AGMCORE_cyan_plate AGMCORE_magenta_plate and AGMCORE_yellow_plate and AGMCORE_black_plate and def
+ /AGMCORE_in_rip_sep
+ /AGMCORE_in_rip_sep where{
+ pop AGMCORE_in_rip_sep
+ }{
+ AGMCORE_distilling
+ {
+ false
+ }{
+ userdict/Adobe_AGM_OnHost_Seps known{
+ false
+ }{
+ level2{
+ currentpagedevice/Separations 2 copy known{
+ get
+ }{
+ pop pop false
+ }ifelse
+ }{
+ false
+ }ifelse
+ }ifelse
+ }ifelse
+ }ifelse
+ def
+ /AGMCORE_producing_seps AGMCORE_composite_job not AGMCORE_in_rip_sep or def
+ /AGMCORE_host_sep AGMCORE_producing_seps AGMCORE_in_rip_sep not and def
+ /AGM_preserve_spots
+ /AGM_preserve_spots where{
+ pop AGM_preserve_spots
+ }{
+ AGMCORE_distilling AGMCORE_producing_seps or
+ }ifelse
+ def
+ /AGM_is_distiller_preserving_spotimages
+ {
+ currentdistillerparams/PreserveOverprintSettings known
+ {
+ currentdistillerparams/PreserveOverprintSettings get
+ {
+ currentdistillerparams/ColorConversionStrategy known
+ {
+ currentdistillerparams/ColorConversionStrategy get
+ /sRGB ne
+ }{
+ true
+ }ifelse
+ }{
+ false
+ }ifelse
+ }{
+ false
+ }ifelse
+ }def
+ /convert_spot_to_process where{pop}{
+ /convert_spot_to_process
+ {
+ //Adobe_AGM_Core begin
+ dup map_alias{
+ /Name get exch pop
+ }if
+ dup dup(None)eq exch(All)eq or
+ {
+ pop false
+ }{
+ AGMCORE_host_sep
+ {
+ gsave
+ 1 0 0 0 setcmykcolor currentgray 1 exch sub
+ 0 1 0 0 setcmykcolor currentgray 1 exch sub
+ 0 0 1 0 setcmykcolor currentgray 1 exch sub
+ 0 0 0 1 setcmykcolor currentgray 1 exch sub
+ add add add 0 eq
+ {
+ pop false
+ }{
+ false setoverprint
+ current_spot_alias false set_spot_alias
+ 1 1 1 1 6 -1 roll findcmykcustomcolor 1 setcustomcolor
+ set_spot_alias
+ currentgray 1 ne
+ }ifelse
+ grestore
+ }{
+ AGMCORE_distilling
+ {
+ pop AGM_is_distiller_preserving_spotimages not
+ }{
+ //Adobe_AGM_Core/AGMCORE_name xddf
+ false
+ //Adobe_AGM_Core/AGMCORE_pattern_paint_type get 0 eq
+ AGMUTIL_cpd/OverrideSeparations known and
+ {
+ AGMUTIL_cpd/OverrideSeparations get
+ {
+ /HqnSpots/ProcSet resourcestatus
+ {
+ pop pop pop true
+ }if
+ }if
+ }if
+ {
+ AGMCORE_name/HqnSpots/ProcSet findresource/TestSpot gx not
+ }{
+ gsave
+ [/Separation AGMCORE_name/DeviceGray{}]AGMCORE_&setcolorspace
+ false
+ AGMUTIL_cpd/SeparationColorNames 2 copy known
+ {
+ get
+ {AGMCORE_name eq or}forall
+ not
+ }{
+ pop pop pop true
+ }ifelse
+ grestore
+ }ifelse
+ }ifelse
+ }ifelse
+ }ifelse
+ end
+ }def
+ }ifelse
+ /convert_to_process where{pop}{
+ /convert_to_process
+ {
+ dup length 0 eq
+ {
+ pop false
+ }{
+ AGMCORE_host_sep
+ {
+ dup true exch
+ {
+ dup(Cyan)eq exch
+ dup(Magenta)eq 3 -1 roll or exch
+ dup(Yellow)eq 3 -1 roll or exch
+ dup(Black)eq 3 -1 roll or
+ {pop}
+ {convert_spot_to_process and}ifelse
+ }
+ forall
+ {
+ true exch
+ {
+ dup(Cyan)eq exch
+ dup(Magenta)eq 3 -1 roll or exch
+ dup(Yellow)eq 3 -1 roll or exch
+ (Black)eq or and
+ }forall
+ not
+ }{pop false}ifelse
+ }{
+ false exch
+ {
+ /PhotoshopDuotoneList where{pop false}{true}ifelse
+ {
+ dup(Cyan)eq exch
+ dup(Magenta)eq 3 -1 roll or exch
+ dup(Yellow)eq 3 -1 roll or exch
+ dup(Black)eq 3 -1 roll or
+ {pop}
+ {convert_spot_to_process or}ifelse
+ }
+ {
+ convert_spot_to_process or
+ }
+ ifelse
+ }
+ forall
+ }ifelse
+ }ifelse
+ }def
+ }ifelse
+ /AGMCORE_avoid_L2_sep_space
+ version cvr 2012 lt
+ level2 and
+ AGMCORE_producing_seps not and
+ def
+ /AGMCORE_is_cmyk_sep
+ AGMCORE_cyan_plate AGMCORE_magenta_plate or AGMCORE_yellow_plate or AGMCORE_black_plate or
+ def
+ /AGM_avoid_0_cmyk where{
+ pop AGM_avoid_0_cmyk
+ }{
+ AGM_preserve_spots
+ userdict/Adobe_AGM_OnHost_Seps known
+ userdict/Adobe_AGM_InRip_Seps known or
+ not and
+ }ifelse
+ {
+ /setcmykcolor[
+ {
+ 4 copy add add add 0 eq currentoverprint and{
+ pop 0.0005
+ }if
+ }/exec cvx
+ /AGMCORE_&setcmykcolor load dup type/operatortype ne{
+ /exec cvx
+ }if
+ ]cvx def
+ }if
+ /AGMCORE_IsSeparationAProcessColor
+ {
+ dup(Cyan)eq exch dup(Magenta)eq exch dup(Yellow)eq exch(Black)eq or or or
+ }def
+ AGMCORE_host_sep{
+ /setcolortransfer
+ {
+ AGMCORE_cyan_plate{
+ pop pop pop
+ }{
+ AGMCORE_magenta_plate{
+ 4 3 roll pop pop pop
+ }{
+ AGMCORE_yellow_plate{
+ 4 2 roll pop pop pop
+ }{
+ 4 1 roll pop pop pop
+ }ifelse
+ }ifelse
+ }ifelse
+ settransfer
+ }
+ def
+ /AGMCORE_get_ink_data
+ AGMCORE_cyan_plate{
+ {pop pop pop}
+ }{
+ AGMCORE_magenta_plate{
+ {4 3 roll pop pop pop}
+ }{
+ AGMCORE_yellow_plate{
+ {4 2 roll pop pop pop}
+ }{
+ {4 1 roll pop pop pop}
+ }ifelse
+ }ifelse
+ }ifelse
+ def
+ /AGMCORE_RemoveProcessColorNames
+ {
+ 1 dict begin
+ /filtername
+ {
+ dup/Cyan eq 1 index(Cyan)eq or
+ {pop(_cyan_)}if
+ dup/Magenta eq 1 index(Magenta)eq or
+ {pop(_magenta_)}if
+ dup/Yellow eq 1 index(Yellow)eq or
+ {pop(_yellow_)}if
+ dup/Black eq 1 index(Black)eq or
+ {pop(_black_)}if
+ }def
+ dup type/arraytype eq
+ {[exch{filtername}forall]}
+ {filtername}ifelse
+ end
+ }def
+ level3{
+ /AGMCORE_IsCurrentColor
+ {
+ dup AGMCORE_IsSeparationAProcessColor
+ {
+ AGMCORE_plate_ndx 0 eq
+ {dup(Cyan)eq exch/Cyan eq or}if
+ AGMCORE_plate_ndx 1 eq
+ {dup(Magenta)eq exch/Magenta eq or}if
+ AGMCORE_plate_ndx 2 eq
+ {dup(Yellow)eq exch/Yellow eq or}if
+ AGMCORE_plate_ndx 3 eq
+ {dup(Black)eq exch/Black eq or}if
+ AGMCORE_plate_ndx 4 eq
+ {pop false}if
+ }{
+ gsave
+ false setoverprint
+ current_spot_alias false set_spot_alias
+ 1 1 1 1 6 -1 roll findcmykcustomcolor 1 setcustomcolor
+ set_spot_alias
+ currentgray 1 ne
+ grestore
+ }ifelse
+ }def
+ /AGMCORE_filter_functiondatasource
+ {
+ 5 dict begin
+ /data_in xdf
+ data_in type/stringtype eq
+ {
+ /ncomp xdf
+ /comp xdf
+ /string_out data_in length ncomp idiv string def
+ 0 ncomp data_in length 1 sub
+ {
+ string_out exch dup ncomp idiv exch data_in exch ncomp getinterval comp get 255 exch sub put
+ }for
+ string_out
+ }{
+ string/string_in xdf
+ /string_out 1 string def
+ /component xdf
+ [
+ data_in string_in/readstring cvx
+ [component/get cvx 255/exch cvx/sub cvx string_out/exch cvx 0/exch cvx/put cvx string_out]cvx
+ [/pop cvx()]cvx/ifelse cvx
+ ]cvx/ReusableStreamDecode filter
+ }ifelse
+ end
+ }def
+ /AGMCORE_separateShadingFunction
+ {
+ 2 dict begin
+ /paint? xdf
+ /channel xdf
+ dup type/dicttype eq
+ {
+ begin
+ FunctionType 0 eq
+ {
+ /DataSource channel Range length 2 idiv DataSource AGMCORE_filter_functiondatasource def
+ currentdict/Decode known
+ {/Decode Decode channel 2 mul 2 getinterval def}if
+ paint? not
+ {/Decode[1 1]def}if
+ }if
+ FunctionType 2 eq
+ {
+ paint?
+ {
+ /C0[C0 channel get 1 exch sub]def
+ /C1[C1 channel get 1 exch sub]def
+ }{
+ /C0[1]def
+ /C1[1]def
+ }ifelse
+ }if
+ FunctionType 3 eq
+ {
+ /Functions[Functions{channel paint? AGMCORE_separateShadingFunction}forall]def
+ }if
+ currentdict/Range known
+ {/Range[0 1]def}if
+ currentdict
+ end}{
+ channel get 0 paint? AGMCORE_separateShadingFunction
+ }ifelse
+ end
+ }def
+ /AGMCORE_separateShading
+ {
+ 3 -1 roll begin
+ currentdict/Function known
+ {
+ currentdict/Background known
+ {[1 index{Background 3 index get 1 exch sub}{1}ifelse]/Background xdf}if
+ Function 3 1 roll AGMCORE_separateShadingFunction/Function xdf
+ /ColorSpace[/DeviceGray]def
+ }{
+ ColorSpace dup type/arraytype eq{0 get}if/DeviceCMYK eq
+ {
+ /ColorSpace[/DeviceN[/_cyan_/_magenta_/_yellow_/_black_]/DeviceCMYK{}]def
+ }{
+ ColorSpace dup 1 get AGMCORE_RemoveProcessColorNames 1 exch put
+ }ifelse
+ ColorSpace 0 get/Separation eq
+ {
+ {
+ [1/exch cvx/sub cvx]cvx
+ }{
+ [/pop cvx 1]cvx
+ }ifelse
+ ColorSpace 3 3 -1 roll put
+ pop
+ }{
+ {
+ [exch ColorSpace 1 get length 1 sub exch sub/index cvx 1/exch cvx/sub cvx ColorSpace 1 get length 1 add 1/roll cvx ColorSpace 1 get length{/pop cvx}repeat]cvx
+ }{
+ pop[ColorSpace 1 get length{/pop cvx}repeat cvx 1]cvx
+ }ifelse
+ ColorSpace 3 3 -1 roll bind put
+ }ifelse
+ ColorSpace 2/DeviceGray put
+ }ifelse
+ end
+ }def
+ /AGMCORE_separateShadingDict
+ {
+ dup/ColorSpace get
+ dup type/arraytype ne
+ {[exch]}if
+ dup 0 get/DeviceCMYK eq
+ {
+ exch begin
+ currentdict
+ AGMCORE_cyan_plate
+ {0 true}if
+ AGMCORE_magenta_plate
+ {1 true}if
+ AGMCORE_yellow_plate
+ {2 true}if
+ AGMCORE_black_plate
+ {3 true}if
+ AGMCORE_plate_ndx 4 eq
+ {0 false}if
+ dup not currentoverprint and
+ {/AGMCORE_ignoreshade true def}if
+ AGMCORE_separateShading
+ currentdict
+ end exch
+ }if
+ dup 0 get/Separation eq
+ {
+ exch begin
+ ColorSpace 1 get dup/None ne exch/All ne and
+ {
+ ColorSpace 1 get AGMCORE_IsCurrentColor AGMCORE_plate_ndx 4 lt and ColorSpace 1 get AGMCORE_IsSeparationAProcessColor not and
+ {
+ ColorSpace 2 get dup type/arraytype eq{0 get}if/DeviceCMYK eq
+ {
+ /ColorSpace
+ [
+ /Separation
+ ColorSpace 1 get
+ /DeviceGray
+ [
+ ColorSpace 3 get/exec cvx
+ 4 AGMCORE_plate_ndx sub -1/roll cvx
+ 4 1/roll cvx
+ 3[/pop cvx]cvx/repeat cvx
+ 1/exch cvx/sub cvx
+ ]cvx
+ ]def
+ }{
+ AGMCORE_report_unsupported_color_space
+ AGMCORE_black_plate not
+ {
+ currentdict 0 false AGMCORE_separateShading
+ }if
+ }ifelse
+ }{
+ currentdict ColorSpace 1 get AGMCORE_IsCurrentColor
+ 0 exch
+ dup not currentoverprint and
+ {/AGMCORE_ignoreshade true def}if
+ AGMCORE_separateShading
+ }ifelse
+ }if
+ currentdict
+ end exch
+ }if
+ dup 0 get/DeviceN eq
+ {
+ exch begin
+ ColorSpace 1 get convert_to_process
+ {
+ ColorSpace 2 get dup type/arraytype eq{0 get}if/DeviceCMYK eq
+ {
+ /ColorSpace
+ [
+ /DeviceN
+ ColorSpace 1 get
+ /DeviceGray
+ [
+ ColorSpace 3 get/exec cvx
+ 4 AGMCORE_plate_ndx sub -1/roll cvx
+ 4 1/roll cvx
+ 3[/pop cvx]cvx/repeat cvx
+ 1/exch cvx/sub cvx
+ ]cvx
+ ]def
+ }{
+ AGMCORE_report_unsupported_color_space
+ AGMCORE_black_plate not
+ {
+ currentdict 0 false AGMCORE_separateShading
+ /ColorSpace[/DeviceGray]def
+ }if
+ }ifelse
+ }{
+ currentdict
+ false -1 ColorSpace 1 get
+ {
+ AGMCORE_IsCurrentColor
+ {
+ 1 add
+ exch pop true exch exit
+ }if
+ 1 add
+ }forall
+ exch
+ dup not currentoverprint and
+ {/AGMCORE_ignoreshade true def}if
+ AGMCORE_separateShading
+ }ifelse
+ currentdict
+ end exch
+ }if
+ dup 0 get dup/DeviceCMYK eq exch dup/Separation eq exch/DeviceN eq or or not
+ {
+ exch begin
+ ColorSpace dup type/arraytype eq
+ {0 get}if
+ /DeviceGray ne
+ {
+ AGMCORE_report_unsupported_color_space
+ AGMCORE_black_plate not
+ {
+ ColorSpace 0 get/CIEBasedA eq
+ {
+ /ColorSpace[/Separation/_ciebaseda_/DeviceGray{}]def
+ }if
+ ColorSpace 0 get dup/CIEBasedABC eq exch dup/CIEBasedDEF eq exch/DeviceRGB eq or or
+ {
+ /ColorSpace[/DeviceN[/_red_/_green_/_blue_]/DeviceRGB{}]def
+ }if
+ ColorSpace 0 get/CIEBasedDEFG eq
+ {
+ /ColorSpace[/DeviceN[/_cyan_/_magenta_/_yellow_/_black_]/DeviceCMYK{}]def
+ }if
+ currentdict 0 false AGMCORE_separateShading
+ }if
+ }if
+ currentdict
+ end exch
+ }if
+ pop
+ dup/AGMCORE_ignoreshade known
+ {
+ begin
+ /ColorSpace[/Separation(None)/DeviceGray{}]def
+ currentdict end
+ }if
+ }def
+ /shfill
+ {
+ AGMCORE_separateShadingDict
+ dup/AGMCORE_ignoreshade known
+ {pop}
+ {AGMCORE_&sysshfill}ifelse
+ }def
+ /makepattern
+ {
+ exch
+ dup/PatternType get 2 eq
+ {
+ clonedict
+ begin
+ /Shading Shading AGMCORE_separateShadingDict def
+ Shading/AGMCORE_ignoreshade known
+ currentdict end exch
+ {pop<</PatternType 1/PaintProc{pop}/BBox[0 0 1 1]/XStep 1/YStep 1/PaintType 1/TilingType 3>>}if
+ exch AGMCORE_&sysmakepattern
+ }{
+ exch AGMCORE_&usrmakepattern
+ }ifelse
+ }def
+ }if
+ }if
+ AGMCORE_in_rip_sep{
+ /setcustomcolor
+ {
+ exch aload pop
+ dup 7 1 roll inRip_spot_has_ink not {
+ 4{4 index mul 4 1 roll}
+ repeat
+ /DeviceCMYK setcolorspace
+ 6 -2 roll pop pop
+ }{
+ //Adobe_AGM_Core begin
+ /AGMCORE_k xdf/AGMCORE_y xdf/AGMCORE_m xdf/AGMCORE_c xdf
+ end
+ [/Separation 4 -1 roll/DeviceCMYK
+ {dup AGMCORE_c mul exch dup AGMCORE_m mul exch dup AGMCORE_y mul exch AGMCORE_k mul}
+ ]
+ setcolorspace
+ }ifelse
+ setcolor
+ }ndf
+ /setseparationgray
+ {
+ [/Separation(All)/DeviceGray{}]setcolorspace_opt
+ 1 exch sub setcolor
+ }ndf
+ }{
+ /setseparationgray
+ {
+ AGMCORE_&setgray
+ }ndf
+ }ifelse
+ /findcmykcustomcolor
+ {
+ 5 makereadonlyarray
+ }ndf
+ /setcustomcolor
+ {
+ exch aload pop pop
+ 4{4 index mul 4 1 roll}repeat
+ setcmykcolor pop
+ }ndf
+ /has_color
+ /colorimage where{
+ AGMCORE_producing_seps{
+ pop true
+ }{
+ systemdict eq
+ }ifelse
+ }{
+ false
+ }ifelse
+ def
+ /map_index
+ {
+ 1 index mul exch getinterval{255 div}forall
+ }bdf
+ /map_indexed_devn
+ {
+ Lookup Names length 3 -1 roll cvi map_index
+ }bdf
+ /n_color_components
+ {
+ base_colorspace_type
+ dup/DeviceGray eq{
+ pop 1
+ }{
+ /DeviceCMYK eq{
+ 4
+ }{
+ 3
+ }ifelse
+ }ifelse
+ }bdf
+ level2{
+ /mo/moveto ldf
+ /li/lineto ldf
+ /cv/curveto ldf
+ /knockout_unitsq
+ {
+ 1 setgray
+ 0 0 1 1 rectfill
+ }def
+ level2/setcolorspace AGMCORE_key_known not and{
+ /AGMCORE_&&&setcolorspace/setcolorspace ldf
+ /AGMCORE_ReplaceMappedColor
+ {
+ dup type dup/arraytype eq exch/packedarraytype eq or
+ {
+ /AGMCORE_SpotAliasAry2 where{
+ begin
+ dup 0 get dup/Separation eq
+ {
+ pop
+ dup length array copy
+ dup dup 1 get
+ current_spot_alias
+ {
+ dup map_alias
+ {
+ false set_spot_alias
+ dup 1 exch setsepcolorspace
+ true set_spot_alias
+ begin
+ /sep_colorspace_dict currentdict AGMCORE_gput
+ pop pop pop
+ [
+ /Separation Name
+ CSA map_csa
+ MappedCSA
+ /sep_colorspace_proc load
+ ]
+ dup Name
+ end
+ }if
+ }if
+ map_reserved_ink_name 1 xpt
+ }{
+ /DeviceN eq
+ {
+ dup length array copy
+ dup dup 1 get[
+ exch{
+ current_spot_alias{
+ dup map_alias{
+ /Name get exch pop
+ }if
+ }if
+ map_reserved_ink_name
+ }forall
+ ]1 xpt
+ }if
+ }ifelse
+ end
+ }if
+ }if
+ }def
+ /setcolorspace
+ {
+ dup type dup/arraytype eq exch/packedarraytype eq or
+ {
+ dup 0 get/Indexed eq
+ {
+ AGMCORE_distilling
+ {
+ /PhotoshopDuotoneList where
+ {
+ pop false
+ }{
+ true
+ }ifelse
+ }{
+ true
+ }ifelse
+ {
+ aload pop 3 -1 roll
+ AGMCORE_ReplaceMappedColor
+ 3 1 roll 4 array astore
+ }if
+ }{
+ AGMCORE_ReplaceMappedColor
+ }ifelse
+ }if
+ DeviceN_PS2_inRip_seps{AGMCORE_&&&setcolorspace}if
+ }def
+ }if
+ }{
+ /adj
+ {
+ currentstrokeadjust{
+ transform
+ 0.25 sub round 0.25 add exch
+ 0.25 sub round 0.25 add exch
+ itransform
+ }if
+ }def
+ /mo{
+ adj moveto
+ }def
+ /li{
+ adj lineto
+ }def
+ /cv{
+ 6 2 roll adj
+ 6 2 roll adj
+ 6 2 roll adj curveto
+ }def
+ /knockout_unitsq
+ {
+ 1 setgray
+ 8 8 1[8 0 0 8 0 0]{<ffffffffffffffff>}image
+ }def
+ /currentstrokeadjust{
+ /currentstrokeadjust AGMCORE_gget
+ }def
+ /setstrokeadjust{
+ /currentstrokeadjust exch AGMCORE_gput
+ }def
+ /setcolorspace
+ {
+ /currentcolorspace exch AGMCORE_gput
+ }def
+ /currentcolorspace
+ {
+ /currentcolorspace AGMCORE_gget
+ }def
+ /setcolor_devicecolor
+ {
+ base_colorspace_type
+ dup/DeviceGray eq{
+ pop setgray
+ }{
+ /DeviceCMYK eq{
+ setcmykcolor
+ }{
+ setrgbcolor
+ }ifelse
+ }ifelse
+ }def
+ /setcolor
+ {
+ currentcolorspace 0 get
+ dup/DeviceGray ne{
+ dup/DeviceCMYK ne{
+ dup/DeviceRGB ne{
+ dup/Separation eq{
+ pop
+ currentcolorspace 3 gx
+ currentcolorspace 2 get
+ }{
+ dup/Indexed eq{
+ pop
+ currentcolorspace 3 get dup type/stringtype eq{
+ currentcolorspace 1 get n_color_components
+ 3 -1 roll map_index
+ }{
+ exec
+ }ifelse
+ currentcolorspace 1 get
+ }{
+ /AGMCORE_cur_err/AGMCORE_invalid_color_space def
+ AGMCORE_invalid_color_space
+ }ifelse
+ }ifelse
+ }if
+ }if
+ }if
+ setcolor_devicecolor
+ }def
+ }ifelse
+ /sop/setoverprint ldf
+ /lw/setlinewidth ldf
+ /lc/setlinecap ldf
+ /lj/setlinejoin ldf
+ /ml/setmiterlimit ldf
+ /dsh/setdash ldf
+ /sadj/setstrokeadjust ldf
+ /gry/setgray ldf
+ /rgb/setrgbcolor ldf
+ /cmyk[
+ /currentcolorspace[/DeviceCMYK]/AGMCORE_gput cvx
+ /setcmykcolor load dup type/operatortype ne{/exec cvx}if
+ ]cvx bdf
+ level3 AGMCORE_host_sep not and{
+ /nzopmsc{
+ 6 dict begin
+ /kk exch def
+ /yy exch def
+ /mm exch def
+ /cc exch def
+ /sum 0 def
+ cc 0 ne{/sum sum 2#1000 or def cc}if
+ mm 0 ne{/sum sum 2#0100 or def mm}if
+ yy 0 ne{/sum sum 2#0010 or def yy}if
+ kk 0 ne{/sum sum 2#0001 or def kk}if
+ AGMCORE_CMYKDeviceNColorspaces sum get setcolorspace
+ sum 0 eq{0}if
+ end
+ setcolor
+ }bdf
+ }{
+ /nzopmsc/cmyk ldf
+ }ifelse
+ /sep/setsepcolor ldf
+ /devn/setdevicencolor ldf
+ /idx/setindexedcolor ldf
+ /colr/setcolor ldf
+ /csacrd/set_csa_crd ldf
+ /sepcs/setsepcolorspace ldf
+ /devncs/setdevicencolorspace ldf
+ /idxcs/setindexedcolorspace ldf
+ /cp/closepath ldf
+ /clp/clp_npth ldf
+ /eclp/eoclp_npth ldf
+ /f/fill ldf
+ /ef/eofill ldf
+ /@/stroke ldf
+ /nclp/npth_clp ldf
+ /gset/graphic_setup ldf
+ /gcln/graphic_cleanup ldf
+ /ct/concat ldf
+ /cf/currentfile ldf
+ /fl/filter ldf
+ /rs/readstring ldf
+ /AGMCORE_def_ht currenthalftone def
+ /clonedict Adobe_AGM_Utils begin/clonedict load end def
+ /clonearray Adobe_AGM_Utils begin/clonearray load end def
+ currentdict{
+ dup xcheck 1 index type dup/arraytype eq exch/packedarraytype eq or and{
+ bind
+ }if
+ def
+ }forall
+ /getrampcolor
+ {
+ /indx exch def
+ 0 1 NumComp 1 sub
+ {
+ dup
+ Samples exch get
+ dup type/stringtype eq{indx get}if
+ exch
+ Scaling exch get aload pop
+ 3 1 roll
+ mul add
+ }for
+ ColorSpaceFamily/Separation eq
+ {sep}
+ {
+ ColorSpaceFamily/DeviceN eq
+ {devn}{setcolor}ifelse
+ }ifelse
+ }bdf
+ /sssetbackground{
+ aload pop
+ ColorSpaceFamily/Separation eq
+ {sep}
+ {
+ ColorSpaceFamily/DeviceN eq
+ {devn}{setcolor}ifelse
+ }ifelse
+ }bdf
+ /RadialShade
+ {
+ 40 dict begin
+ /ColorSpaceFamily xdf
+ /background xdf
+ /ext1 xdf
+ /ext0 xdf
+ /BBox xdf
+ /r2 xdf
+ /c2y xdf
+ /c2x xdf
+ /r1 xdf
+ /c1y xdf
+ /c1x xdf
+ /rampdict xdf
+ /setinkoverprint where{pop/setinkoverprint{pop}def}if
+ gsave
+ BBox length 0 gt
+ {
+ np
+ BBox 0 get BBox 1 get moveto
+ BBox 2 get BBox 0 get sub 0 rlineto
+ 0 BBox 3 get BBox 1 get sub rlineto
+ BBox 2 get BBox 0 get sub neg 0 rlineto
+ closepath
+ clip
+ np
+ }if
+ c1x c2x eq
+ {
+ c1y c2y lt{/theta 90 def}{/theta 270 def}ifelse
+ }{
+ /slope c2y c1y sub c2x c1x sub div def
+ /theta slope 1 atan def
+ c2x c1x lt c2y c1y ge and{/theta theta 180 sub def}if
+ c2x c1x lt c2y c1y lt and{/theta theta 180 add def}if
+ }ifelse
+ gsave
+ clippath
+ c1x c1y translate
+ theta rotate
+ -90 rotate
+ {pathbbox}stopped
+ {0 0 0 0}if
+ /yMax xdf
+ /xMax xdf
+ /yMin xdf
+ /xMin xdf
+ grestore
+ xMax xMin eq yMax yMin eq or
+ {
+ grestore
+ end
+ }{
+ /max{2 copy gt{pop}{exch pop}ifelse}bdf
+ /min{2 copy lt{pop}{exch pop}ifelse}bdf
+ rampdict begin
+ 40 dict begin
+ background length 0 gt{background sssetbackground gsave clippath fill grestore}if
+ gsave
+ c1x c1y translate
+ theta rotate
+ -90 rotate
+ /c2y c1x c2x sub dup mul c1y c2y sub dup mul add sqrt def
+ /c1y 0 def
+ /c1x 0 def
+ /c2x 0 def
+ ext0
+ {
+ 0 getrampcolor
+ c2y r2 add r1 sub 0.0001 lt
+ {
+ c1x c1y r1 360 0 arcn
+ pathbbox
+ /aymax exch def
+ /axmax exch def
+ /aymin exch def
+ /axmin exch def
+ /bxMin xMin axmin min def
+ /byMin yMin aymin min def
+ /bxMax xMax axmax max def
+ /byMax yMax aymax max def
+ bxMin byMin moveto
+ bxMax byMin lineto
+ bxMax byMax lineto
+ bxMin byMax lineto
+ bxMin byMin lineto
+ eofill
+ }{
+ c2y r1 add r2 le
+ {
+ c1x c1y r1 0 360 arc
+ fill
+ }
+ {
+ c2x c2y r2 0 360 arc fill
+ r1 r2 eq
+ {
+ /p1x r1 neg def
+ /p1y c1y def
+ /p2x r1 def
+ /p2y c1y def
+ p1x p1y moveto p2x p2y lineto p2x yMin lineto p1x yMin lineto
+ fill
+ }{
+ /AA r2 r1 sub c2y div def
+ AA -1 eq
+ {/theta 89.99 def}
+ {/theta AA 1 AA dup mul sub sqrt div 1 atan def}
+ ifelse
+ /SS1 90 theta add dup sin exch cos div def
+ /p1x r1 SS1 SS1 mul SS1 SS1 mul 1 add div sqrt mul neg def
+ /p1y p1x SS1 div neg def
+ /SS2 90 theta sub dup sin exch cos div def
+ /p2x r1 SS2 SS2 mul SS2 SS2 mul 1 add div sqrt mul def
+ /p2y p2x SS2 div neg def
+ r1 r2 gt
+ {
+ /L1maxX p1x yMin p1y sub SS1 div add def
+ /L2maxX p2x yMin p2y sub SS2 div add def
+ }{
+ /L1maxX 0 def
+ /L2maxX 0 def
+ }ifelse
+ p1x p1y moveto p2x p2y lineto L2maxX L2maxX p2x sub SS2 mul p2y add lineto
+ L1maxX L1maxX p1x sub SS1 mul p1y add lineto
+ fill
+ }ifelse
+ }ifelse
+ }ifelse
+ }if
+ c1x c2x sub dup mul
+ c1y c2y sub dup mul
+ add 0.5 exp
+ 0 dtransform
+ dup mul exch dup mul add 0.5 exp 72 div
+ 0 72 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt
+ 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt
+ 1 index 1 index lt{exch}if pop
+ /hires xdf
+ hires mul
+ /numpix xdf
+ /numsteps NumSamples def
+ /rampIndxInc 1 def
+ /subsampling false def
+ numpix 0 ne
+ {
+ NumSamples numpix div 0.5 gt
+ {
+ /numsteps numpix 2 div round cvi dup 1 le{pop 2}if def
+ /rampIndxInc NumSamples 1 sub numsteps div def
+ /subsampling true def
+ }if
+ }if
+ /xInc c2x c1x sub numsteps div def
+ /yInc c2y c1y sub numsteps div def
+ /rInc r2 r1 sub numsteps div def
+ /cx c1x def
+ /cy c1y def
+ /radius r1 def
+ np
+ xInc 0 eq yInc 0 eq rInc 0 eq and and
+ {
+ 0 getrampcolor
+ cx cy radius 0 360 arc
+ stroke
+ NumSamples 1 sub getrampcolor
+ cx cy radius 72 hires div add 0 360 arc
+ 0 setlinewidth
+ stroke
+ }{
+ 0
+ numsteps
+ {
+ dup
+ subsampling{round cvi}if
+ getrampcolor
+ cx cy radius 0 360 arc
+ /cx cx xInc add def
+ /cy cy yInc add def
+ /radius radius rInc add def
+ cx cy radius 360 0 arcn
+ eofill
+ rampIndxInc add
+ }repeat
+ pop
+ }ifelse
+ ext1
+ {
+ c2y r2 add r1 lt
+ {
+ c2x c2y r2 0 360 arc
+ fill
+ }{
+ c2y r1 add r2 sub 0.0001 le
+ {
+ c2x c2y r2 360 0 arcn
+ pathbbox
+ /aymax exch def
+ /axmax exch def
+ /aymin exch def
+ /axmin exch def
+ /bxMin xMin axmin min def
+ /byMin yMin aymin min def
+ /bxMax xMax axmax max def
+ /byMax yMax aymax max def
+ bxMin byMin moveto
+ bxMax byMin lineto
+ bxMax byMax lineto
+ bxMin byMax lineto
+ bxMin byMin lineto
+ eofill
+ }{
+ c2x c2y r2 0 360 arc fill
+ r1 r2 eq
+ {
+ /p1x r2 neg def
+ /p1y c2y def
+ /p2x r2 def
+ /p2y c2y def
+ p1x p1y moveto p2x p2y lineto p2x yMax lineto p1x yMax lineto
+ fill
+ }{
+ /AA r2 r1 sub c2y div def
+ AA -1 eq
+ {/theta 89.99 def}
+ {/theta AA 1 AA dup mul sub sqrt div 1 atan def}
+ ifelse
+ /SS1 90 theta add dup sin exch cos div def
+ /p1x r2 SS1 SS1 mul SS1 SS1 mul 1 add div sqrt mul neg def
+ /p1y c2y p1x SS1 div sub def
+ /SS2 90 theta sub dup sin exch cos div def
+ /p2x r2 SS2 SS2 mul SS2 SS2 mul 1 add div sqrt mul def
+ /p2y c2y p2x SS2 div sub def
+ r1 r2 lt
+ {
+ /L1maxX p1x yMax p1y sub SS1 div add def
+ /L2maxX p2x yMax p2y sub SS2 div add def
+ }{
+ /L1maxX 0 def
+ /L2maxX 0 def
+ }ifelse
+ p1x p1y moveto p2x p2y lineto L2maxX L2maxX p2x sub SS2 mul p2y add lineto
+ L1maxX L1maxX p1x sub SS1 mul p1y add lineto
+ fill
+ }ifelse
+ }ifelse
+ }ifelse
+ }if
+ grestore
+ grestore
+ end
+ end
+ end
+ }ifelse
+ }bdf
+ /GenStrips
+ {
+ 40 dict begin
+ /ColorSpaceFamily xdf
+ /background xdf
+ /ext1 xdf
+ /ext0 xdf
+ /BBox xdf
+ /y2 xdf
+ /x2 xdf
+ /y1 xdf
+ /x1 xdf
+ /rampdict xdf
+ /setinkoverprint where{pop/setinkoverprint{pop}def}if
+ gsave
+ BBox length 0 gt
+ {
+ np
+ BBox 0 get BBox 1 get moveto
+ BBox 2 get BBox 0 get sub 0 rlineto
+ 0 BBox 3 get BBox 1 get sub rlineto
+ BBox 2 get BBox 0 get sub neg 0 rlineto
+ closepath
+ clip
+ np
+ }if
+ x1 x2 eq
+ {
+ y1 y2 lt{/theta 90 def}{/theta 270 def}ifelse
+ }{
+ /slope y2 y1 sub x2 x1 sub div def
+ /theta slope 1 atan def
+ x2 x1 lt y2 y1 ge and{/theta theta 180 sub def}if
+ x2 x1 lt y2 y1 lt and{/theta theta 180 add def}if
+ }
+ ifelse
+ gsave
+ clippath
+ x1 y1 translate
+ theta rotate
+ {pathbbox}stopped
+ {0 0 0 0}if
+ /yMax exch def
+ /xMax exch def
+ /yMin exch def
+ /xMin exch def
+ grestore
+ xMax xMin eq yMax yMin eq or
+ {
+ grestore
+ end
+ }{
+ rampdict begin
+ 20 dict begin
+ background length 0 gt{background sssetbackground gsave clippath fill grestore}if
+ gsave
+ x1 y1 translate
+ theta rotate
+ /xStart 0 def
+ /xEnd x2 x1 sub dup mul y2 y1 sub dup mul add 0.5 exp def
+ /ySpan yMax yMin sub def
+ /numsteps NumSamples def
+ /rampIndxInc 1 def
+ /subsampling false def
+ xStart 0 transform
+ xEnd 0 transform
+ 3 -1 roll
+ sub dup mul
+ 3 1 roll
+ sub dup mul
+ add 0.5 exp 72 div
+ 0 72 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt
+ 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt
+ 1 index 1 index lt{exch}if pop
+ mul
+ /numpix xdf
+ numpix 0 ne
+ {
+ NumSamples numpix div 0.5 gt
+ {
+ /numsteps numpix 2 div round cvi dup 1 le{pop 2}if def
+ /rampIndxInc NumSamples 1 sub numsteps div def
+ /subsampling true def
+ }if
+ }if
+ ext0
+ {
+ 0 getrampcolor
+ xMin xStart lt
+ {
+ xMin yMin xMin neg ySpan rectfill
+ }if
+ }if
+ /xInc xEnd xStart sub numsteps div def
+ /x xStart def
+ 0
+ numsteps
+ {
+ dup
+ subsampling{round cvi}if
+ getrampcolor
+ x yMin xInc ySpan rectfill
+ /x x xInc add def
+ rampIndxInc add
+ }repeat
+ pop
+ ext1{
+ xMax xEnd gt
+ {
+ xEnd yMin xMax xEnd sub ySpan rectfill
+ }if
+ }if
+ grestore
+ grestore
+ end
+ end
+ end
+ }ifelse
+ }bdf
+}def
+/pt
+{
+ end
+}def
+/dt{
+}def
+/pgsv{
+ //Adobe_AGM_Core/AGMCORE_save save put
+}def
+/pgrs{
+ //Adobe_AGM_Core/AGMCORE_save get restore
+}def
+systemdict/findcolorrendering known{
+ /findcolorrendering systemdict/findcolorrendering get def
+}if
+systemdict/setcolorrendering known{
+ /setcolorrendering systemdict/setcolorrendering get def
+}if
+/test_cmyk_color_plate
+{
+ gsave
+ setcmykcolor currentgray 1 ne
+ grestore
+}def
+/inRip_spot_has_ink
+{
+ dup//Adobe_AGM_Core/AGMCORE_name xddf
+ convert_spot_to_process not
+}def
+/map255_to_range
+{
+ 1 index sub
+ 3 -1 roll 255 div mul add
+}def
+/set_csa_crd
+{
+ /sep_colorspace_dict null AGMCORE_gput
+ begin
+ CSA get_csa_by_name setcolorspace_opt
+ set_crd
+ end
+}
+def
+/map_csa
+{
+ currentdict/MappedCSA known{MappedCSA null ne}{false}ifelse
+ {pop}{get_csa_by_name/MappedCSA xdf}ifelse
+}def
+/setsepcolor
+{
+ /sep_colorspace_dict AGMCORE_gget begin
+ dup/sep_tint exch AGMCORE_gput
+ TintProc
+ end
+}def
+/setdevicencolor
+{
+ /devicen_colorspace_dict AGMCORE_gget begin
+ Names length copy
+ Names length 1 sub -1 0
+ {
+ /devicen_tints AGMCORE_gget 3 1 roll xpt
+ }for
+ TintProc
+ end
+}def
+/sep_colorspace_proc
+{
+ /AGMCORE_tmp exch store
+ /sep_colorspace_dict AGMCORE_gget begin
+ currentdict/Components known{
+ Components aload pop
+ TintMethod/Lab eq{
+ 2{AGMCORE_tmp mul NComponents 1 roll}repeat
+ LMax sub AGMCORE_tmp mul LMax add NComponents 1 roll
+ }{
+ TintMethod/Subtractive eq{
+ NComponents{
+ AGMCORE_tmp mul NComponents 1 roll
+ }repeat
+ }{
+ NComponents{
+ 1 sub AGMCORE_tmp mul 1 add NComponents 1 roll
+ }repeat
+ }ifelse
+ }ifelse
+ }{
+ ColorLookup AGMCORE_tmp ColorLookup length 1 sub mul round cvi get
+ aload pop
+ }ifelse
+ end
+}def
+/sep_colorspace_gray_proc
+{
+ /AGMCORE_tmp exch store
+ /sep_colorspace_dict AGMCORE_gget begin
+ GrayLookup AGMCORE_tmp GrayLookup length 1 sub mul round cvi get
+ end
+}def
+/sep_proc_name
+{
+ dup 0 get
+ dup/DeviceRGB eq exch/DeviceCMYK eq or level2 not and has_color not and{
+ pop[/DeviceGray]
+ /sep_colorspace_gray_proc
+ }{
+ /sep_colorspace_proc
+ }ifelse
+}def
+/setsepcolorspace
+{
+ current_spot_alias{
+ dup begin
+ Name map_alias{
+ exch pop
+ }if
+ end
+ }if
+ dup/sep_colorspace_dict exch AGMCORE_gput
+ begin
+ CSA map_csa
+ /AGMCORE_sep_special Name dup()eq exch(All)eq or store
+ AGMCORE_avoid_L2_sep_space{
+ [/Indexed MappedCSA sep_proc_name 255 exch
+ {255 div}/exec cvx 3 -1 roll[4 1 roll load/exec cvx]cvx
+ ]setcolorspace_opt
+ /TintProc{
+ 255 mul round cvi setcolor
+ }bdf
+ }{
+ MappedCSA 0 get/DeviceCMYK eq
+ currentdict/Components known and
+ AGMCORE_sep_special not and{
+ /TintProc[
+ Components aload pop Name findcmykcustomcolor
+ /exch cvx/setcustomcolor cvx
+ ]cvx bdf
+ }{
+ AGMCORE_host_sep Name(All)eq and{
+ /TintProc{
+ 1 exch sub setseparationgray
+ }bdf
+ }{
+ AGMCORE_in_rip_sep MappedCSA 0 get/DeviceCMYK eq and
+ AGMCORE_host_sep or
+ Name()eq and{
+ /TintProc[
+ MappedCSA sep_proc_name exch 0 get/DeviceCMYK eq{
+ cvx/setcmykcolor cvx
+ }{
+ cvx/setgray cvx
+ }ifelse
+ ]cvx bdf
+ }{
+ AGMCORE_producing_seps MappedCSA 0 get dup/DeviceCMYK eq exch/DeviceGray eq or and AGMCORE_sep_special not and{
+ /TintProc[
+ /dup cvx
+ MappedCSA sep_proc_name cvx exch
+ 0 get/DeviceGray eq{
+ 1/exch cvx/sub cvx 0 0 0 4 -1/roll cvx
+ }if
+ /Name cvx/findcmykcustomcolor cvx/exch cvx
+ AGMCORE_host_sep{
+ AGMCORE_is_cmyk_sep
+ /Name cvx
+ /AGMCORE_IsSeparationAProcessColor load/exec cvx
+ /not cvx/and cvx
+ }{
+ Name inRip_spot_has_ink not
+ }ifelse
+ [
+ /pop cvx 1
+ ]cvx/if cvx
+ /setcustomcolor cvx
+ ]cvx bdf
+ }{
+ /TintProc{setcolor}bdf
+ [/Separation Name MappedCSA sep_proc_name load]setcolorspace_opt
+ }ifelse
+ }ifelse
+ }ifelse
+ }ifelse
+ }ifelse
+ set_crd
+ setsepcolor
+ end
+}def
+/additive_blend
+{
+ 3 dict begin
+ /numarrays xdf
+ /numcolors xdf
+ 0 1 numcolors 1 sub
+ {
+ /c1 xdf
+ 1
+ 0 1 numarrays 1 sub
+ {
+ 1 exch add/index cvx
+ c1/get cvx/mul cvx
+ }for
+ numarrays 1 add 1/roll cvx
+ }for
+ numarrays[/pop cvx]cvx/repeat cvx
+ end
+}def
+/subtractive_blend
+{
+ 3 dict begin
+ /numarrays xdf
+ /numcolors xdf
+ 0 1 numcolors 1 sub
+ {
+ /c1 xdf
+ 1 1
+ 0 1 numarrays 1 sub
+ {
+ 1 3 3 -1 roll add/index cvx
+ c1/get cvx/sub cvx/mul cvx
+ }for
+ /sub cvx
+ numarrays 1 add 1/roll cvx
+ }for
+ numarrays[/pop cvx]cvx/repeat cvx
+ end
+}def
+/exec_tint_transform
+{
+ /TintProc[
+ /TintTransform cvx/setcolor cvx
+ ]cvx bdf
+ MappedCSA setcolorspace_opt
+}bdf
+/devn_makecustomcolor
+{
+ 2 dict begin
+ /names_index xdf
+ /Names xdf
+ 1 1 1 1 Names names_index get findcmykcustomcolor
+ /devicen_tints AGMCORE_gget names_index get setcustomcolor
+ Names length{pop}repeat
+ end
+}bdf
+/setdevicencolorspace
+{
+ dup/AliasedColorants known{false}{true}ifelse
+ current_spot_alias and{
+ 7 dict begin
+ /names_index 0 def
+ dup/names_len exch/Names get length def
+ /new_names names_len array def
+ /new_LookupTables names_len array def
+ /alias_cnt 0 def
+ dup/Names get
+ {
+ dup map_alias{
+ exch pop
+ dup/ColorLookup known{
+ dup begin
+ new_LookupTables names_index ColorLookup put
+ end
+ }{
+ dup/Components known{
+ dup begin
+ new_LookupTables names_index Components put
+ end
+ }{
+ dup begin
+ new_LookupTables names_index[null null null null]put
+ end
+ }ifelse
+ }ifelse
+ new_names names_index 3 -1 roll/Name get put
+ /alias_cnt alias_cnt 1 add def
+ }{
+ /name xdf
+ new_names names_index name put
+ dup/LookupTables known{
+ dup begin
+ new_LookupTables names_index LookupTables names_index get put
+ end
+ }{
+ dup begin
+ new_LookupTables names_index[null null null null]put
+ end
+ }ifelse
+ }ifelse
+ /names_index names_index 1 add def
+ }forall
+ alias_cnt 0 gt{
+ /AliasedColorants true def
+ /lut_entry_len new_LookupTables 0 get dup length 256 ge{0 get length}{length}ifelse def
+ 0 1 names_len 1 sub{
+ /names_index xdf
+ new_LookupTables names_index get dup length 256 ge{0 get length}{length}ifelse lut_entry_len ne{
+ /AliasedColorants false def
+ exit
+ }{
+ new_LookupTables names_index get 0 get null eq{
+ dup/Names get names_index get/name xdf
+ name(Cyan)eq name(Magenta)eq name(Yellow)eq name(Black)eq
+ or or or not{
+ /AliasedColorants false def
+ exit
+ }if
+ }if
+ }ifelse
+ }for
+ lut_entry_len 1 eq{
+ /AliasedColorants false def
+ }if
+ AliasedColorants{
+ dup begin
+ /Names new_names def
+ /LookupTables new_LookupTables def
+ /AliasedColorants true def
+ /NComponents lut_entry_len def
+ /TintMethod NComponents 4 eq{/Subtractive}{/Additive}ifelse def
+ /MappedCSA TintMethod/Additive eq{/DeviceRGB}{/DeviceCMYK}ifelse def
+ currentdict/TTTablesIdx known not{
+ /TTTablesIdx -1 def
+ }if
+ end
+ }if
+ }if
+ end
+ }if
+ dup/devicen_colorspace_dict exch AGMCORE_gput
+ begin
+ currentdict/AliasedColorants known{
+ AliasedColorants
+ }{
+ false
+ }ifelse
+ dup not{
+ CSA map_csa
+ }if
+ /TintTransform load type/nulltype eq or{
+ /TintTransform[
+ 0 1 Names length 1 sub
+ {
+ /TTTablesIdx TTTablesIdx 1 add def
+ dup LookupTables exch get dup 0 get null eq
+ {
+ 1 index
+ Names exch get
+ dup(Cyan)eq
+ {
+ pop exch
+ LookupTables length exch sub
+ /index cvx
+ 0 0 0
+ }
+ {
+ dup(Magenta)eq
+ {
+ pop exch
+ LookupTables length exch sub
+ /index cvx
+ 0/exch cvx 0 0
+ }{
+ (Yellow)eq
+ {
+ exch
+ LookupTables length exch sub
+ /index cvx
+ 0 0 3 -1/roll cvx 0
+ }{
+ exch
+ LookupTables length exch sub
+ /index cvx
+ 0 0 0 4 -1/roll cvx
+ }ifelse
+ }ifelse
+ }ifelse
+ 5 -1/roll cvx/astore cvx
+ }{
+ dup length 1 sub
+ LookupTables length 4 -1 roll sub 1 add
+ /index cvx/mul cvx/round cvx/cvi cvx/get cvx
+ }ifelse
+ Names length TTTablesIdx add 1 add 1/roll cvx
+ }for
+ Names length[/pop cvx]cvx/repeat cvx
+ NComponents Names length
+ TintMethod/Subtractive eq
+ {
+ subtractive_blend
+ }{
+ additive_blend
+ }ifelse
+ ]cvx bdf
+ }if
+ AGMCORE_host_sep{
+ Names convert_to_process{
+ exec_tint_transform
+ }
+ {
+ currentdict/AliasedColorants known{
+ AliasedColorants not
+ }{
+ false
+ }ifelse
+ 5 dict begin
+ /AvoidAliasedColorants xdf
+ /painted? false def
+ /names_index 0 def
+ /names_len Names length def
+ AvoidAliasedColorants{
+ /currentspotalias current_spot_alias def
+ false set_spot_alias
+ }if
+ Names{
+ AGMCORE_is_cmyk_sep{
+ dup(Cyan)eq AGMCORE_cyan_plate and exch
+ dup(Magenta)eq AGMCORE_magenta_plate and exch
+ dup(Yellow)eq AGMCORE_yellow_plate and exch
+ (Black)eq AGMCORE_black_plate and or or or{
+ /devicen_colorspace_dict AGMCORE_gget/TintProc[
+ Names names_index/devn_makecustomcolor cvx
+ ]cvx ddf
+ /painted? true def
+ }if
+ painted?{exit}if
+ }{
+ 0 0 0 0 5 -1 roll findcmykcustomcolor 1 setcustomcolor currentgray 0 eq{
+ /devicen_colorspace_dict AGMCORE_gget/TintProc[
+ Names names_index/devn_makecustomcolor cvx
+ ]cvx ddf
+ /painted? true def
+ exit
+ }if
+ }ifelse
+ /names_index names_index 1 add def
+ }forall
+ AvoidAliasedColorants{
+ currentspotalias set_spot_alias
+ }if
+ painted?{
+ /devicen_colorspace_dict AGMCORE_gget/names_index names_index put
+ }{
+ /devicen_colorspace_dict AGMCORE_gget/TintProc[
+ names_len[/pop cvx]cvx/repeat cvx 1/setseparationgray cvx
+ 0 0 0 0/setcmykcolor cvx
+ ]cvx ddf
+ }ifelse
+ end
+ }ifelse
+ }
+ {
+ AGMCORE_in_rip_sep{
+ Names convert_to_process not
+ }{
+ level3
+ }ifelse
+ {
+ [/DeviceN Names MappedCSA/TintTransform load]setcolorspace_opt
+ /TintProc level3 not AGMCORE_in_rip_sep and{
+ [
+ Names/length cvx[/pop cvx]cvx/repeat cvx
+ ]cvx bdf
+ }{
+ {setcolor}bdf
+ }ifelse
+ }{
+ exec_tint_transform
+ }ifelse
+ }ifelse
+ set_crd
+ /AliasedColorants false def
+ end
+}def
+/setindexedcolorspace
+{
+ dup/indexed_colorspace_dict exch AGMCORE_gput
+ begin
+ currentdict/CSDBase known{
+ CSDBase/CSD get_res begin
+ currentdict/Names known{
+ currentdict devncs
+ }{
+ 1 currentdict sepcs
+ }ifelse
+ AGMCORE_host_sep{
+ 4 dict begin
+ /compCnt/Names where{pop Names length}{1}ifelse def
+ /NewLookup HiVal 1 add string def
+ 0 1 HiVal{
+ /tableIndex xdf
+ Lookup dup type/stringtype eq{
+ compCnt tableIndex map_index
+ }{
+ exec
+ }ifelse
+ /Names where{
+ pop setdevicencolor
+ }{
+ setsepcolor
+ }ifelse
+ currentgray
+ tableIndex exch
+ 255 mul cvi
+ NewLookup 3 1 roll put
+ }for
+ [/Indexed currentcolorspace HiVal NewLookup]setcolorspace_opt
+ end
+ }{
+ level3
+ {
+ currentdict/Names known{
+ [/Indexed[/DeviceN Names MappedCSA/TintTransform load]HiVal Lookup]setcolorspace_opt
+ }{
+ [/Indexed[/Separation Name MappedCSA sep_proc_name load]HiVal Lookup]setcolorspace_opt
+ }ifelse
+ }{
+ [/Indexed MappedCSA HiVal
+ [
+ currentdict/Names known{
+ Lookup dup type/stringtype eq
+ {/exch cvx CSDBase/CSD get_res/Names get length dup/mul cvx exch/getinterval cvx{255 div}/forall cvx}
+ {/exec cvx}ifelse
+ /TintTransform load/exec cvx
+ }{
+ Lookup dup type/stringtype eq
+ {/exch cvx/get cvx 255/div cvx}
+ {/exec cvx}ifelse
+ CSDBase/CSD get_res/MappedCSA get sep_proc_name exch pop/load cvx/exec cvx
+ }ifelse
+ ]cvx
+ ]setcolorspace_opt
+ }ifelse
+ }ifelse
+ end
+ set_crd
+ }
+ {
+ CSA map_csa
+ AGMCORE_host_sep level2 not and{
+ 0 0 0 0 setcmykcolor
+ }{
+ [/Indexed MappedCSA
+ level2 not has_color not and{
+ dup 0 get dup/DeviceRGB eq exch/DeviceCMYK eq or{
+ pop[/DeviceGray]
+ }if
+ HiVal GrayLookup
+ }{
+ HiVal
+ currentdict/RangeArray known{
+ {
+ /indexed_colorspace_dict AGMCORE_gget begin
+ Lookup exch
+ dup HiVal gt{
+ pop HiVal
+ }if
+ NComponents mul NComponents getinterval{}forall
+ NComponents 1 sub -1 0{
+ RangeArray exch 2 mul 2 getinterval aload pop map255_to_range
+ NComponents 1 roll
+ }for
+ end
+ }bind
+ }{
+ Lookup
+ }ifelse
+ }ifelse
+ ]setcolorspace_opt
+ set_crd
+ }ifelse
+ }ifelse
+ end
+}def
+/setindexedcolor
+{
+ AGMCORE_host_sep{
+ /indexed_colorspace_dict AGMCORE_gget
+ begin
+ currentdict/CSDBase known{
+ CSDBase/CSD get_res begin
+ currentdict/Names known{
+ map_indexed_devn
+ devn
+ }
+ {
+ Lookup 1 3 -1 roll map_index
+ sep
+ }ifelse
+ end
+ }{
+ Lookup MappedCSA/DeviceCMYK eq{4}{1}ifelse 3 -1 roll
+ map_index
+ MappedCSA/DeviceCMYK eq{setcmykcolor}{setgray}ifelse
+ }ifelse
+ end
+ }{
+ level3 not AGMCORE_in_rip_sep and/indexed_colorspace_dict AGMCORE_gget/CSDBase known and{
+ /indexed_colorspace_dict AGMCORE_gget/CSDBase get/CSD get_res begin
+ map_indexed_devn
+ devn
+ end
+ }
+ {
+ setcolor
+ }ifelse
+ }ifelse
+}def
+/ignoreimagedata
+{
+ currentoverprint not{
+ gsave
+ dup clonedict begin
+ 1 setgray
+ /Decode[0 1]def
+ /DataSource<FF>def
+ /MultipleDataSources false def
+ /BitsPerComponent 8 def
+ currentdict end
+ systemdict/image gx
+ grestore
+ }if
+ consumeimagedata
+}def
+/add_res
+{
+ dup/CSD eq{
+ pop
+ //Adobe_AGM_Core begin
+ /AGMCORE_CSD_cache load 3 1 roll put
+ end
+ }{
+ defineresource pop
+ }ifelse
+}def
+/del_res
+{
+ {
+ aload pop exch
+ dup/CSD eq{
+ pop
+ {//Adobe_AGM_Core/AGMCORE_CSD_cache get exch undef}forall
+ }{
+ exch
+ {1 index undefineresource}forall
+ pop
+ }ifelse
+ }forall
+}def
+/get_res
+{
+ dup/CSD eq{
+ pop
+ dup type dup/nametype eq exch/stringtype eq or{
+ AGMCORE_CSD_cache exch get
+ }if
+ }{
+ findresource
+ }ifelse
+}def
+/get_csa_by_name
+{
+ dup type dup/nametype eq exch/stringtype eq or{
+ /CSA get_res
+ }if
+}def
+/paintproc_buf_init
+{
+ /count get 0 0 put
+}def
+/paintproc_buf_next
+{
+ dup/count get dup 0 get
+ dup 3 1 roll
+ 1 add 0 xpt
+ get
+}def
+/cachepaintproc_compress
+{
+ 5 dict begin
+ currentfile exch 0 exch/SubFileDecode filter/ReadFilter exch def
+ /ppdict 20 dict def
+ /string_size 16000 def
+ /readbuffer string_size string def
+ currentglobal true setglobal
+ ppdict 1 array dup 0 1 put/count xpt
+ setglobal
+ /LZWFilter
+ {
+ exch
+ dup length 0 eq{
+ pop
+ }{
+ ppdict dup length 1 sub 3 -1 roll put
+ }ifelse
+ {string_size}{0}ifelse string
+ }/LZWEncode filter def
+ {
+ ReadFilter readbuffer readstring
+ exch LZWFilter exch writestring
+ not{exit}if
+ }loop
+ LZWFilter closefile
+ ppdict
+ end
+}def
+/cachepaintproc
+{
+ 2 dict begin
+ currentfile exch 0 exch/SubFileDecode filter/ReadFilter exch def
+ /ppdict 20 dict def
+ currentglobal true setglobal
+ ppdict 1 array dup 0 1 put/count xpt
+ setglobal
+ {
+ ReadFilter 16000 string readstring exch
+ ppdict dup length 1 sub 3 -1 roll put
+ not{exit}if
+ }loop
+ ppdict dup dup length 1 sub()put
+ end
+}def
+/make_pattern
+{
+ exch clonedict exch
+ dup matrix currentmatrix matrix concatmatrix 0 0 3 2 roll itransform
+ exch 3 index/XStep get 1 index exch 2 copy div cvi mul sub sub
+ exch 3 index/YStep get 1 index exch 2 copy div cvi mul sub sub
+ matrix translate exch matrix concatmatrix
+ 1 index begin
+ BBox 0 get XStep div cvi XStep mul/xshift exch neg def
+ BBox 1 get YStep div cvi YStep mul/yshift exch neg def
+ BBox 0 get xshift add
+ BBox 1 get yshift add
+ BBox 2 get xshift add
+ BBox 3 get yshift add
+ 4 array astore
+ /BBox exch def
+ [xshift yshift/translate load null/exec load]dup
+ 3/PaintProc load put cvx/PaintProc exch def
+ end
+ gsave 0 setgray
+ makepattern
+ grestore
+}def
+/set_pattern
+{
+ dup/PatternType get 1 eq{
+ dup/PaintType get 1 eq{
+ currentoverprint sop[/DeviceGray]setcolorspace 0 setgray
+ }if
+ }if
+ setpattern
+}def
+/setcolorspace_opt
+{
+ dup currentcolorspace eq{pop}{setcolorspace}ifelse
+}def
+/updatecolorrendering
+{
+ currentcolorrendering/RenderingIntent known{
+ currentcolorrendering/RenderingIntent get
+ }
+ {
+ Intent/AbsoluteColorimetric eq
+ {
+ /absolute_colorimetric_crd AGMCORE_gget dup null eq
+ }
+ {
+ Intent/RelativeColorimetric eq
+ {
+ /relative_colorimetric_crd AGMCORE_gget dup null eq
+ }
+ {
+ Intent/Saturation eq
+ {
+ /saturation_crd AGMCORE_gget dup null eq
+ }
+ {
+ /perceptual_crd AGMCORE_gget dup null eq
+ }ifelse
+ }ifelse
+ }ifelse
+ {
+ pop null
+ }
+ {
+ /RenderingIntent known{null}{Intent}ifelse
+ }ifelse
+ }ifelse
+ Intent ne{
+ Intent/ColorRendering{findresource}stopped
+ {
+ pop pop systemdict/findcolorrendering known
+ {
+ Intent findcolorrendering
+ {
+ /ColorRendering findresource true exch
+ }
+ {
+ /ColorRendering findresource
+ product(Xerox Phaser 5400)ne
+ exch
+ }ifelse
+ dup Intent/AbsoluteColorimetric eq
+ {
+ /absolute_colorimetric_crd exch AGMCORE_gput
+ }
+ {
+ Intent/RelativeColorimetric eq
+ {
+ /relative_colorimetric_crd exch AGMCORE_gput
+ }
+ {
+ Intent/Saturation eq
+ {
+ /saturation_crd exch AGMCORE_gput
+ }
+ {
+ Intent/Perceptual eq
+ {
+ /perceptual_crd exch AGMCORE_gput
+ }
+ {
+ pop
+ }ifelse
+ }ifelse
+ }ifelse
+ }ifelse
+ 1 index{exch}{pop}ifelse
+ }
+ {false}ifelse
+ }
+ {true}ifelse
+ {
+ dup begin
+ currentdict/TransformPQR known{
+ currentdict/TransformPQR get aload pop
+ 3{{}eq 3 1 roll}repeat or or
+ }
+ {true}ifelse
+ currentdict/MatrixPQR known{
+ currentdict/MatrixPQR get aload pop
+ 1.0 eq 9 1 roll 0.0 eq 9 1 roll 0.0 eq 9 1 roll
+ 0.0 eq 9 1 roll 1.0 eq 9 1 roll 0.0 eq 9 1 roll
+ 0.0 eq 9 1 roll 0.0 eq 9 1 roll 1.0 eq
+ and and and and and and and and
+ }
+ {true}ifelse
+ end
+ or
+ {
+ clonedict begin
+ /TransformPQR[
+ {4 -1 roll 3 get dup 3 1 roll sub 5 -1 roll 3 get 3 -1 roll sub div
+ 3 -1 roll 3 get 3 -1 roll 3 get dup 4 1 roll sub mul add}bind
+ {4 -1 roll 4 get dup 3 1 roll sub 5 -1 roll 4 get 3 -1 roll sub div
+ 3 -1 roll 4 get 3 -1 roll 4 get dup 4 1 roll sub mul add}bind
+ {4 -1 roll 5 get dup 3 1 roll sub 5 -1 roll 5 get 3 -1 roll sub div
+ 3 -1 roll 5 get 3 -1 roll 5 get dup 4 1 roll sub mul add}bind
+ ]def
+ /MatrixPQR[0.8951 -0.7502 0.0389 0.2664 1.7135 -0.0685 -0.1614 0.0367 1.0296]def
+ /RangePQR[-0.3227950745 2.3229645538 -1.5003771057 3.5003465881 -0.1369979095 2.136967392]def
+ currentdict end
+ }if
+ setcolorrendering_opt
+ }if
+ }if
+}def
+/set_crd
+{
+ AGMCORE_host_sep not level2 and{
+ currentdict/ColorRendering known{
+ ColorRendering/ColorRendering{findresource}stopped not{setcolorrendering_opt}if
+ }{
+ currentdict/Intent known{
+ updatecolorrendering
+ }if
+ }ifelse
+ currentcolorspace dup type/arraytype eq
+ {0 get}if
+ /DeviceRGB eq
+ {
+ currentdict/UCR known
+ {/UCR}{/AGMCORE_currentucr}ifelse
+ load setundercolorremoval
+ currentdict/BG known
+ {/BG}{/AGMCORE_currentbg}ifelse
+ load setblackgeneration
+ }if
+ }if
+}def
+/set_ucrbg
+{
+ dup null eq{pop/AGMCORE_currentbg load}{/Procedure get_res}ifelse setblackgeneration
+ dup null eq{pop/AGMCORE_currentucr load}{/Procedure get_res}ifelse setundercolorremoval
+}def
+/setcolorrendering_opt
+{
+ dup currentcolorrendering eq{
+ pop
+ }{
+ product(HP Color LaserJet 2605)anchorsearch{
+ pop pop pop
+ }{
+ pop
+ clonedict
+ begin
+ /Intent Intent def
+ currentdict
+ end
+ setcolorrendering
+ }ifelse
+ }ifelse
+}def
+/cpaint_gcomp
+{
+ convert_to_process//Adobe_AGM_Core/AGMCORE_ConvertToProcess xddf
+ //Adobe_AGM_Core/AGMCORE_ConvertToProcess get not
+ {
+ (%end_cpaint_gcomp)flushinput
+ }if
+}def
+/cpaint_gsep
+{
+ //Adobe_AGM_Core/AGMCORE_ConvertToProcess get
+ {
+ (%end_cpaint_gsep)flushinput
+ }if
+}def
+/cpaint_gend
+{np}def
+/T1_path
+{
+ currentfile token pop currentfile token pop mo
+ {
+ currentfile token pop dup type/stringtype eq
+ {pop exit}if
+ 0 exch rlineto
+ currentfile token pop dup type/stringtype eq
+ {pop exit}if
+ 0 rlineto
+ }loop
+}def
+/T1_gsave
+ level3
+ {/clipsave}
+ {/gsave}ifelse
+ load def
+/T1_grestore
+ level3
+ {/cliprestore}
+ {/grestore}ifelse
+ load def
+/set_spot_alias_ary
+{
+ dup inherit_aliases
+ //Adobe_AGM_Core/AGMCORE_SpotAliasAry xddf
+}def
+/set_spot_normalization_ary
+{
+ dup inherit_aliases
+ dup length
+ /AGMCORE_SpotAliasAry where{pop AGMCORE_SpotAliasAry length add}if
+ array
+ //Adobe_AGM_Core/AGMCORE_SpotAliasAry2 xddf
+ /AGMCORE_SpotAliasAry where{
+ pop
+ AGMCORE_SpotAliasAry2 0 AGMCORE_SpotAliasAry putinterval
+ AGMCORE_SpotAliasAry length
+ }{0}ifelse
+ AGMCORE_SpotAliasAry2 3 1 roll exch putinterval
+ true set_spot_alias
+}def
+/inherit_aliases
+{
+ {dup/Name get map_alias{/CSD put}{pop}ifelse}forall
+}def
+/set_spot_alias
+{
+ /AGMCORE_SpotAliasAry2 where{
+ /AGMCORE_current_spot_alias 3 -1 roll put
+ }{
+ pop
+ }ifelse
+}def
+/current_spot_alias
+{
+ /AGMCORE_SpotAliasAry2 where{
+ /AGMCORE_current_spot_alias get
+ }{
+ false
+ }ifelse
+}def
+/map_alias
+{
+ /AGMCORE_SpotAliasAry2 where{
+ begin
+ /AGMCORE_name xdf
+ false
+ AGMCORE_SpotAliasAry2{
+ dup/Name get AGMCORE_name eq{
+ /CSD get/CSD get_res
+ exch pop true
+ exit
+ }{
+ pop
+ }ifelse
+ }forall
+ end
+ }{
+ pop false
+ }ifelse
+}bdf
+/spot_alias
+{
+ true set_spot_alias
+ /AGMCORE_&setcustomcolor AGMCORE_key_known not{
+ //Adobe_AGM_Core/AGMCORE_&setcustomcolor/setcustomcolor load put
+ }if
+ /customcolor_tint 1 AGMCORE_gput
+ //Adobe_AGM_Core begin
+ /setcustomcolor
+ {
+ //Adobe_AGM_Core begin
+ dup/customcolor_tint exch AGMCORE_gput
+ 1 index aload pop pop 1 eq exch 1 eq and exch 1 eq and exch 1 eq and not
+ current_spot_alias and{1 index 4 get map_alias}{false}ifelse
+ {
+ false set_spot_alias
+ /sep_colorspace_dict AGMCORE_gget null ne
+ 3 1 roll 2 index{
+ exch pop/sep_tint AGMCORE_gget exch
+ }if
+ mark 3 1 roll
+ setsepcolorspace
+ counttomark 0 ne{
+ setsepcolor
+ }if
+ pop
+ not{/sep_tint 1.0 AGMCORE_gput}if
+ pop
+ true set_spot_alias
+ }{
+ AGMCORE_&setcustomcolor
+ }ifelse
+ end
+ }bdf
+ end
+}def
+/begin_feature
+{
+ Adobe_AGM_Core/AGMCORE_feature_dictCount countdictstack put
+ count Adobe_AGM_Core/AGMCORE_feature_opCount 3 -1 roll put
+ {Adobe_AGM_Core/AGMCORE_feature_ctm matrix currentmatrix put}if
+}def
+/end_feature
+{
+ 2 dict begin
+ /spd/setpagedevice load def
+ /setpagedevice{get_gstate spd set_gstate}def
+ stopped{$error/newerror false put}if
+ end
+ count Adobe_AGM_Core/AGMCORE_feature_opCount get sub dup 0 gt{{pop}repeat}{pop}ifelse
+ countdictstack Adobe_AGM_Core/AGMCORE_feature_dictCount get sub dup 0 gt{{end}repeat}{pop}ifelse
+ {Adobe_AGM_Core/AGMCORE_feature_ctm get setmatrix}if
+}def
+/set_negative
+{
+ //Adobe_AGM_Core begin
+ /AGMCORE_inverting exch def
+ level2{
+ currentpagedevice/NegativePrint known AGMCORE_distilling not and{
+ currentpagedevice/NegativePrint get//Adobe_AGM_Core/AGMCORE_inverting get ne{
+ true begin_feature true{
+ <</NegativePrint//Adobe_AGM_Core/AGMCORE_inverting get>>setpagedevice
+ }end_feature
+ }if
+ /AGMCORE_inverting false def
+ }if
+ }if
+ AGMCORE_inverting{
+ [{1 exch sub}/exec load dup currenttransfer exch]cvx bind settransfer
+ AGMCORE_distilling{
+ erasepage
+ }{
+ gsave np clippath 1/setseparationgray where{pop setseparationgray}{setgray}ifelse
+ /AGMIRS_&fill where{pop AGMIRS_&fill}{fill}ifelse grestore
+ }ifelse
+ }if
+ end
+}def
+/lw_save_restore_override{
+ /md where{
+ pop
+ md begin
+ initializepage
+ /initializepage{}def
+ /pmSVsetup{}def
+ /endp{}def
+ /pse{}def
+ /psb{}def
+ /orig_showpage where
+ {pop}
+ {/orig_showpage/showpage load def}
+ ifelse
+ /showpage{orig_showpage gR}def
+ end
+ }if
+}def
+/pscript_showpage_override{
+ /NTPSOct95 where
+ {
+ begin
+ showpage
+ save
+ /showpage/restore load def
+ /restore{exch pop}def
+ end
+ }if
+}def
+/driver_media_override
+{
+ /md where{
+ pop
+ md/initializepage known{
+ md/initializepage{}put
+ }if
+ md/rC known{
+ md/rC{4{pop}repeat}put
+ }if
+ }if
+ /mysetup where{
+ /mysetup[1 0 0 1 0 0]put
+ }if
+ Adobe_AGM_Core/AGMCORE_Default_CTM matrix currentmatrix put
+ level2
+ {Adobe_AGM_Core/AGMCORE_Default_PageSize currentpagedevice/PageSize get put}if
+}def
+/capture_mysetup
+{
+ /Pscript_Win_Data where{
+ pop
+ Pscript_Win_Data/mysetup known{
+ Adobe_AGM_Core/save_mysetup Pscript_Win_Data/mysetup get put
+ }if
+ }if
+}def
+/restore_mysetup
+{
+ /Pscript_Win_Data where{
+ pop
+ Pscript_Win_Data/mysetup known{
+ Adobe_AGM_Core/save_mysetup known{
+ Pscript_Win_Data/mysetup Adobe_AGM_Core/save_mysetup get put
+ Adobe_AGM_Core/save_mysetup undef
+ }if
+ }if
+ }if
+}def
+/driver_check_media_override
+{
+ /PrepsDict where
+ {pop}
+ {
+ Adobe_AGM_Core/AGMCORE_Default_CTM get matrix currentmatrix ne
+ Adobe_AGM_Core/AGMCORE_Default_PageSize get type/arraytype eq
+ {
+ Adobe_AGM_Core/AGMCORE_Default_PageSize get 0 get currentpagedevice/PageSize get 0 get eq and
+ Adobe_AGM_Core/AGMCORE_Default_PageSize get 1 get currentpagedevice/PageSize get 1 get eq and
+ }if
+ {
+ Adobe_AGM_Core/AGMCORE_Default_CTM get setmatrix
+ }if
+ }ifelse
+}def
+AGMCORE_err_strings begin
+ /AGMCORE_bad_environ(Environment not satisfactory for this job. Ensure that the PPD is correct or that the PostScript level requested is supported by this printer. )def
+ /AGMCORE_color_space_onhost_seps(This job contains colors that will not separate with on-host methods. )def
+ /AGMCORE_invalid_color_space(This job contains an invalid color space. )def
+end
+/set_def_ht
+{AGMCORE_def_ht sethalftone}def
+/set_def_flat
+{AGMCORE_Default_flatness setflat}def
+end
+systemdict/setpacking known
+{setpacking}if
+%%EndResource
+%%BeginResource: procset Adobe_CoolType_Core 2.31 0
+%%Copyright: Copyright 1997-2006 Adobe Systems Incorporated. All Rights Reserved.
+%%Version: 2.31 0
+10 dict begin
+/Adobe_CoolType_Passthru currentdict def
+/Adobe_CoolType_Core_Defined userdict/Adobe_CoolType_Core known def
+Adobe_CoolType_Core_Defined
+ {/Adobe_CoolType_Core userdict/Adobe_CoolType_Core get def}
+if
+userdict/Adobe_CoolType_Core 70 dict dup begin put
+/Adobe_CoolType_Version 2.31 def
+/Level2?
+ systemdict/languagelevel known dup
+ {pop systemdict/languagelevel get 2 ge}
+ if def
+Level2? not
+ {
+ /currentglobal false def
+ /setglobal/pop load def
+ /gcheck{pop false}bind def
+ /currentpacking false def
+ /setpacking/pop load def
+ /SharedFontDirectory 0 dict def
+ }
+if
+currentpacking
+true setpacking
+currentglobal false setglobal
+userdict/Adobe_CoolType_Data 2 copy known not
+ {2 copy 10 dict put}
+if
+get
+ begin
+ /@opStackCountByLevel 32 dict def
+ /@opStackLevel 0 def
+ /@dictStackCountByLevel 32 dict def
+ /@dictStackLevel 0 def
+ end
+setglobal
+currentglobal true setglobal
+userdict/Adobe_CoolType_GVMFonts known not
+ {userdict/Adobe_CoolType_GVMFonts 10 dict put}
+if
+setglobal
+currentglobal false setglobal
+userdict/Adobe_CoolType_LVMFonts known not
+ {userdict/Adobe_CoolType_LVMFonts 10 dict put}
+if
+setglobal
+/ct_VMDictPut
+ {
+ dup gcheck{Adobe_CoolType_GVMFonts}{Adobe_CoolType_LVMFonts}ifelse
+ 3 1 roll put
+ }bind def
+/ct_VMDictUndef
+ {
+ dup Adobe_CoolType_GVMFonts exch known
+ {Adobe_CoolType_GVMFonts exch undef}
+ {
+ dup Adobe_CoolType_LVMFonts exch known
+ {Adobe_CoolType_LVMFonts exch undef}
+ {pop}
+ ifelse
+ }ifelse
+ }bind def
+/ct_str1 1 string def
+/ct_xshow
+{
+ /_ct_na exch def
+ /_ct_i 0 def
+ currentpoint
+ /_ct_y exch def
+ /_ct_x exch def
+ {
+ pop pop
+ ct_str1 exch 0 exch put
+ ct_str1 show
+ {_ct_na _ct_i get}stopped
+ {pop pop}
+ {
+ _ct_x _ct_y moveto
+ 0
+ rmoveto
+ }
+ ifelse
+ /_ct_i _ct_i 1 add def
+ currentpoint
+ /_ct_y exch def
+ /_ct_x exch def
+ }
+ exch
+ @cshow
+}bind def
+/ct_yshow
+{
+ /_ct_na exch def
+ /_ct_i 0 def
+ currentpoint
+ /_ct_y exch def
+ /_ct_x exch def
+ {
+ pop pop
+ ct_str1 exch 0 exch put
+ ct_str1 show
+ {_ct_na _ct_i get}stopped
+ {pop pop}
+ {
+ _ct_x _ct_y moveto
+ 0 exch
+ rmoveto
+ }
+ ifelse
+ /_ct_i _ct_i 1 add def
+ currentpoint
+ /_ct_y exch def
+ /_ct_x exch def
+ }
+ exch
+ @cshow
+}bind def
+/ct_xyshow
+{
+ /_ct_na exch def
+ /_ct_i 0 def
+ currentpoint
+ /_ct_y exch def
+ /_ct_x exch def
+ {
+ pop pop
+ ct_str1 exch 0 exch put
+ ct_str1 show
+ {_ct_na _ct_i get}stopped
+ {pop pop}
+ {
+ {_ct_na _ct_i 1 add get}stopped
+ {pop pop pop}
+ {
+ _ct_x _ct_y moveto
+ rmoveto
+ }
+ ifelse
+ }
+ ifelse
+ /_ct_i _ct_i 2 add def
+ currentpoint
+ /_ct_y exch def
+ /_ct_x exch def
+ }
+ exch
+ @cshow
+}bind def
+/xsh{{@xshow}stopped{Adobe_CoolType_Data begin ct_xshow end}if}bind def
+/ysh{{@yshow}stopped{Adobe_CoolType_Data begin ct_yshow end}if}bind def
+/xysh{{@xyshow}stopped{Adobe_CoolType_Data begin ct_xyshow end}if}bind def
+currentglobal true setglobal
+/ct_T3Defs
+{
+/BuildChar
+{
+ 1 index/Encoding get exch get
+ 1 index/BuildGlyph get exec
+}bind def
+/BuildGlyph
+{
+ exch begin
+ GlyphProcs exch get exec
+ end
+}bind def
+}bind def
+setglobal
+/@_SaveStackLevels
+ {
+ Adobe_CoolType_Data
+ begin
+ /@vmState currentglobal def false setglobal
+ @opStackCountByLevel
+ @opStackLevel
+ 2 copy known not
+ {
+ 2 copy
+ 3 dict dup/args
+ 7 index
+ 5 add array put
+ put get
+ }
+ {
+ get dup/args get dup length 3 index lt
+ {
+ dup length 5 add array exch
+ 1 index exch 0 exch putinterval
+ 1 index exch/args exch put
+ }
+ {pop}
+ ifelse
+ }
+ ifelse
+ begin
+ count 1 sub
+ 1 index lt
+ {pop count}
+ if
+ dup/argCount exch def
+ dup 0 gt
+ {
+ args exch 0 exch getinterval
+ astore pop
+ }
+ {pop}
+ ifelse
+ count
+ /restCount exch def
+ end
+ /@opStackLevel @opStackLevel 1 add def
+ countdictstack 1 sub
+ @dictStackCountByLevel exch @dictStackLevel exch put
+ /@dictStackLevel @dictStackLevel 1 add def
+ @vmState setglobal
+ end
+ }bind def
+/@_RestoreStackLevels
+ {
+ Adobe_CoolType_Data
+ begin
+ /@opStackLevel @opStackLevel 1 sub def
+ @opStackCountByLevel @opStackLevel get
+ begin
+ count restCount sub dup 0 gt
+ {{pop}repeat}
+ {pop}
+ ifelse
+ args 0 argCount getinterval{}forall
+ end
+ /@dictStackLevel @dictStackLevel 1 sub def
+ @dictStackCountByLevel @dictStackLevel get
+ end
+ countdictstack exch sub dup 0 gt
+ {{end}repeat}
+ {pop}
+ ifelse
+ }bind def
+/@_PopStackLevels
+ {
+ Adobe_CoolType_Data
+ begin
+ /@opStackLevel @opStackLevel 1 sub def
+ /@dictStackLevel @dictStackLevel 1 sub def
+ end
+ }bind def
+/@Raise
+ {
+ exch cvx exch errordict exch get exec
+ stop
+ }bind def
+/@ReRaise
+ {
+ cvx $error/errorname get errordict exch get exec
+ stop
+ }bind def
+/@Stopped
+ {
+ 0 @#Stopped
+ }bind def
+/@#Stopped
+ {
+ @_SaveStackLevels
+ stopped
+ {@_RestoreStackLevels true}
+ {@_PopStackLevels false}
+ ifelse
+ }bind def
+/@Arg
+ {
+ Adobe_CoolType_Data
+ begin
+ @opStackCountByLevel @opStackLevel 1 sub get
+ begin
+ args exch
+ argCount 1 sub exch sub get
+ end
+ end
+ }bind def
+currentglobal true setglobal
+/CTHasResourceForAllBug
+ Level2?
+ {
+ 1 dict dup
+ /@shouldNotDisappearDictValue true def
+ Adobe_CoolType_Data exch/@shouldNotDisappearDict exch put
+ begin
+ count @_SaveStackLevels
+ {(*){pop stop}128 string/Category resourceforall}
+ stopped pop
+ @_RestoreStackLevels
+ currentdict Adobe_CoolType_Data/@shouldNotDisappearDict get dup 3 1 roll ne dup 3 1 roll
+ {
+ /@shouldNotDisappearDictValue known
+ {
+ {
+ end
+ currentdict 1 index eq
+ {pop exit}
+ if
+ }
+ loop
+ }
+ if
+ }
+ {
+ pop
+ end
+ }
+ ifelse
+ }
+ {false}
+ ifelse
+ def
+true setglobal
+/CTHasResourceStatusBug
+ Level2?
+ {
+ mark
+ {/steveamerige/Category resourcestatus}
+ stopped
+ {cleartomark true}
+ {cleartomark currentglobal not}
+ ifelse
+ }
+ {false}
+ ifelse
+ def
+setglobal
+/CTResourceStatus
+ {
+ mark 3 1 roll
+ /Category findresource
+ begin
+ ({ResourceStatus}stopped)0()/SubFileDecode filter cvx exec
+ {cleartomark false}
+ {{3 2 roll pop true}{cleartomark false}ifelse}
+ ifelse
+ end
+ }bind def
+/CTWorkAroundBugs
+ {
+ Level2?
+ {
+ /cid_PreLoad/ProcSet resourcestatus
+ {
+ pop pop
+ currentglobal
+ mark
+ {
+ (*)
+ {
+ dup/CMap CTHasResourceStatusBug
+ {CTResourceStatus}
+ {resourcestatus}
+ ifelse
+ {
+ pop dup 0 eq exch 1 eq or
+ {
+ dup/CMap findresource gcheck setglobal
+ /CMap undefineresource
+ }
+ {
+ pop CTHasResourceForAllBug
+ {exit}
+ {stop}
+ ifelse
+ }
+ ifelse
+ }
+ {pop}
+ ifelse
+ }
+ 128 string/CMap resourceforall
+ }
+ stopped
+ {cleartomark}
+ stopped pop
+ setglobal
+ }
+ if
+ }
+ if
+ }bind def
+/ds
+ {
+ Adobe_CoolType_Core
+ begin
+ CTWorkAroundBugs
+ /mo/moveto load def
+ /nf/newencodedfont load def
+ /msf{makefont setfont}bind def
+ /uf{dup undefinefont ct_VMDictUndef}bind def
+ /ur/undefineresource load def
+ /chp/charpath load def
+ /awsh/awidthshow load def
+ /wsh/widthshow load def
+ /ash/ashow load def
+ /@xshow/xshow load def
+ /@yshow/yshow load def
+ /@xyshow/xyshow load def
+ /@cshow/cshow load def
+ /sh/show load def
+ /rp/repeat load def
+ /.n/.notdef def
+ end
+ currentglobal false setglobal
+ userdict/Adobe_CoolType_Data 2 copy known not
+ {2 copy 10 dict put}
+ if
+ get
+ begin
+ /AddWidths? false def
+ /CC 0 def
+ /charcode 2 string def
+ /@opStackCountByLevel 32 dict def
+ /@opStackLevel 0 def
+ /@dictStackCountByLevel 32 dict def
+ /@dictStackLevel 0 def
+ /InVMFontsByCMap 10 dict def
+ /InVMDeepCopiedFonts 10 dict def
+ end
+ setglobal
+ }bind def
+/dt
+ {
+ currentdict Adobe_CoolType_Core eq
+ {end}
+ if
+ }bind def
+/ps
+ {
+ Adobe_CoolType_Core begin
+ Adobe_CoolType_GVMFonts begin
+ Adobe_CoolType_LVMFonts begin
+ SharedFontDirectory begin
+ }bind def
+/pt
+ {
+ end
+ end
+ end
+ end
+ }bind def
+/unload
+ {
+ systemdict/languagelevel known
+ {
+ systemdict/languagelevel get 2 ge
+ {
+ userdict/Adobe_CoolType_Core 2 copy known
+ {undef}
+ {pop pop}
+ ifelse
+ }
+ if
+ }
+ if
+ }bind def
+/ndf
+ {
+ 1 index where
+ {pop pop pop}
+ {dup xcheck{bind}if def}
+ ifelse
+ }def
+/findfont systemdict
+ begin
+ userdict
+ begin
+ /globaldict where{/globaldict get begin}if
+ dup where pop exch get
+ /globaldict where{pop end}if
+ end
+ end
+Adobe_CoolType_Core_Defined
+ {/systemfindfont exch def}
+ {
+ /findfont 1 index def
+ /systemfindfont exch def
+ }
+ifelse
+/undefinefont
+ {pop}ndf
+/copyfont
+ {
+ currentglobal 3 1 roll
+ 1 index gcheck setglobal
+ dup null eq{0}{dup length}ifelse
+ 2 index length add 1 add dict
+ begin
+ exch
+ {
+ 1 index/FID eq
+ {pop pop}
+ {def}
+ ifelse
+ }
+ forall
+ dup null eq
+ {pop}
+ {{def}forall}
+ ifelse
+ currentdict
+ end
+ exch setglobal
+ }bind def
+/copyarray
+ {
+ currentglobal exch
+ dup gcheck setglobal
+ dup length array copy
+ exch setglobal
+ }bind def
+/newencodedfont
+ {
+ currentglobal
+ {
+ SharedFontDirectory 3 index known
+ {SharedFontDirectory 3 index get/FontReferenced known}
+ {false}
+ ifelse
+ }
+ {
+ FontDirectory 3 index known
+ {FontDirectory 3 index get/FontReferenced known}
+ {
+ SharedFontDirectory 3 index known
+ {SharedFontDirectory 3 index get/FontReferenced known}
+ {false}
+ ifelse
+ }
+ ifelse
+ }
+ ifelse
+ dup
+ {
+ 3 index findfont/FontReferenced get
+ 2 index dup type/nametype eq
+ {findfont}
+ if ne
+ {pop false}
+ if
+ }
+ if
+ dup
+ {
+ 1 index dup type/nametype eq
+ {findfont}
+ if
+ dup/CharStrings known
+ {
+ /CharStrings get length
+ 4 index findfont/CharStrings get length
+ ne
+ {
+ pop false
+ }
+ if
+ }
+ {pop}
+ ifelse
+ }
+ if
+ {
+ pop
+ 1 index findfont
+ /Encoding get exch
+ 0 1 255
+ {2 copy get 3 index 3 1 roll put}
+ for
+ pop pop pop
+ }
+ {
+ currentglobal
+ 4 1 roll
+ dup type/nametype eq
+ {findfont}
+ if
+ dup gcheck setglobal
+ dup dup maxlength 2 add dict
+ begin
+ exch
+ {
+ 1 index/FID ne
+ 2 index/Encoding ne and
+ {def}
+ {pop pop}
+ ifelse
+ }
+ forall
+ /FontReferenced exch def
+ /Encoding exch dup length array copy def
+ /FontName 1 index dup type/stringtype eq{cvn}if def dup
+ currentdict
+ end
+ definefont ct_VMDictPut
+ setglobal
+ }
+ ifelse
+ }bind def
+/SetSubstituteStrategy
+ {
+ $SubstituteFont
+ begin
+ dup type/dicttype ne
+ {0 dict}
+ if
+ currentdict/$Strategies known
+ {
+ exch $Strategies exch
+ 2 copy known
+ {
+ get
+ 2 copy maxlength exch maxlength add dict
+ begin
+ {def}forall
+ {def}forall
+ currentdict
+ dup/$Init known
+ {dup/$Init get exec}
+ if
+ end
+ /$Strategy exch def
+ }
+ {pop pop pop}
+ ifelse
+ }
+ {pop pop}
+ ifelse
+ end
+ }bind def
+/scff
+ {
+ $SubstituteFont
+ begin
+ dup type/stringtype eq
+ {dup length exch}
+ {null}
+ ifelse
+ /$sname exch def
+ /$slen exch def
+ /$inVMIndex
+ $sname null eq
+ {
+ 1 index $str cvs
+ dup length $slen sub $slen getinterval cvn
+ }
+ {$sname}
+ ifelse def
+ end
+ {findfont}
+ @Stopped
+ {
+ dup length 8 add string exch
+ 1 index 0(BadFont:)putinterval
+ 1 index exch 8 exch dup length string cvs putinterval cvn
+ {findfont}
+ @Stopped
+ {pop/Courier findfont}
+ if
+ }
+ if
+ $SubstituteFont
+ begin
+ /$sname null def
+ /$slen 0 def
+ /$inVMIndex null def
+ end
+ }bind def
+/isWidthsOnlyFont
+ {
+ dup/WidthsOnly known
+ {pop pop true}
+ {
+ dup/FDepVector known
+ {/FDepVector get{isWidthsOnlyFont dup{exit}if}forall}
+ {
+ dup/FDArray known
+ {/FDArray get{isWidthsOnlyFont dup{exit}if}forall}
+ {pop}
+ ifelse
+ }
+ ifelse
+ }
+ ifelse
+ }bind def
+/ct_StyleDicts 4 dict dup begin
+ /Adobe-Japan1 4 dict dup begin
+ Level2?
+ {
+ /Serif
+ /HeiseiMin-W3-83pv-RKSJ-H/Font resourcestatus
+ {pop pop/HeiseiMin-W3}
+ {
+ /CIDFont/Category resourcestatus
+ {
+ pop pop
+ /HeiseiMin-W3/CIDFont resourcestatus
+ {pop pop/HeiseiMin-W3}
+ {/Ryumin-Light}
+ ifelse
+ }
+ {/Ryumin-Light}
+ ifelse
+ }
+ ifelse
+ def
+ /SansSerif
+ /HeiseiKakuGo-W5-83pv-RKSJ-H/Font resourcestatus
+ {pop pop/HeiseiKakuGo-W5}
+ {
+ /CIDFont/Category resourcestatus
+ {
+ pop pop
+ /HeiseiKakuGo-W5/CIDFont resourcestatus
+ {pop pop/HeiseiKakuGo-W5}
+ {/GothicBBB-Medium}
+ ifelse
+ }
+ {/GothicBBB-Medium}
+ ifelse
+ }
+ ifelse
+ def
+ /HeiseiMaruGo-W4-83pv-RKSJ-H/Font resourcestatus
+ {pop pop/HeiseiMaruGo-W4}
+ {
+ /CIDFont/Category resourcestatus
+ {
+ pop pop
+ /HeiseiMaruGo-W4/CIDFont resourcestatus
+ {pop pop/HeiseiMaruGo-W4}
+ {
+ /Jun101-Light-RKSJ-H/Font resourcestatus
+ {pop pop/Jun101-Light}
+ {SansSerif}
+ ifelse
+ }
+ ifelse
+ }
+ {
+ /Jun101-Light-RKSJ-H/Font resourcestatus
+ {pop pop/Jun101-Light}
+ {SansSerif}
+ ifelse
+ }
+ ifelse
+ }
+ ifelse
+ /RoundSansSerif exch def
+ /Default Serif def
+ }
+ {
+ /Serif/Ryumin-Light def
+ /SansSerif/GothicBBB-Medium def
+ {
+ (fonts/Jun101-Light-83pv-RKSJ-H)status
+ }stopped
+ {pop}{
+ {pop pop pop pop/Jun101-Light}
+ {SansSerif}
+ ifelse
+ /RoundSansSerif exch def
+ }ifelse
+ /Default Serif def
+ }
+ ifelse
+ end
+ def
+ /Adobe-Korea1 4 dict dup begin
+ /Serif/HYSMyeongJo-Medium def
+ /SansSerif/HYGoThic-Medium def
+ /RoundSansSerif SansSerif def
+ /Default Serif def
+ end
+ def
+ /Adobe-GB1 4 dict dup begin
+ /Serif/STSong-Light def
+ /SansSerif/STHeiti-Regular def
+ /RoundSansSerif SansSerif def
+ /Default Serif def
+ end
+ def
+ /Adobe-CNS1 4 dict dup begin
+ /Serif/MKai-Medium def
+ /SansSerif/MHei-Medium def
+ /RoundSansSerif SansSerif def
+ /Default Serif def
+ end
+ def
+end
+def
+Level2?{currentglobal true setglobal}if
+/ct_BoldRomanWidthProc
+ {
+ stringwidth 1 index 0 ne{exch .03 add exch}if setcharwidth
+ 0 0
+ }bind def
+/ct_Type0WidthProc
+ {
+ dup stringwidth 0 0 moveto
+ 2 index true charpath pathbbox
+ 0 -1
+ 7 index 2 div .88
+ setcachedevice2
+ pop
+ 0 0
+ }bind def
+/ct_Type0WMode1WidthProc
+ {
+ dup stringwidth
+ pop 2 div neg -0.88
+ 2 copy
+ moveto
+ 0 -1
+ 5 -1 roll true charpath pathbbox
+ setcachedevice
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+/cF7/cF8/cF9/cFA/cFB/cFC/cFD/cFE/cFF]def
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+ 11 dict begin
+ /FontType 3 def
+ /FontMatrix[1 0 0 1 0 0]def
+ /FontBBox[0 0 1 1]def
+ /Encoding cHexEncoding def
+ /_setwidthProc/ct_BoldRomanWidthProc load def
+ /_bcstr1 1 string def
+ /BuildChar
+ {
+ exch begin
+ _basefont setfont
+ _bcstr1 dup 0 4 -1 roll put
+ dup
+ _setwidthProc
+ 3 copy
+ moveto
+ show
+ _basefonto setfont
+ moveto
+ show
+ end
+ }bind def
+ currentdict
+ end
+def
+systemdict/composefont known
+{
+/ct_DefineIdentity-H
+{
+ /Identity-H/CMap resourcestatus
+ {
+ pop pop
+ }
+ {
+ /CIDInit/ProcSet findresource begin
+ 12 dict begin
+ begincmap
+ /CIDSystemInfo 3 dict dup begin
+ /Registry(Adobe)def
+ /Ordering(Identity)def
+ /Supplement 0 def
+ end def
+ /CMapName/Identity-H def
+ /CMapVersion 1.000 def
+ /CMapType 1 def
+ 1 begincodespacerange
+ <0000><FFFF>
+ endcodespacerange
+ 1 begincidrange
+ <0000><FFFF>0
+ endcidrange
+ endcmap
+ CMapName currentdict/CMap defineresource pop
+ end
+ end
+ }
+ ifelse
+}
+def
+/ct_BoldBaseCIDFont
+ 11 dict begin
+ /CIDFontType 1 def
+ /CIDFontName/ct_BoldBaseCIDFont def
+ /FontMatrix[1 0 0 1 0 0]def
+ /FontBBox[0 0 1 1]def
+ /_setwidthProc/ct_Type0WidthProc load def
+ /_bcstr2 2 string def
+ /BuildGlyph
+ {
+ exch begin
+ _basefont setfont
+ _bcstr2 1 2 index 256 mod put
+ _bcstr2 0 3 -1 roll 256 idiv put
+ _bcstr2 dup _setwidthProc
+ 3 copy
+ moveto
+ show
+ _basefonto setfont
+ moveto
+ show
+ end
+ }bind def
+ currentdict
+ end
+def
+}if
+Level2?{setglobal}if
+/ct_CopyFont{
+ {
+ 1 index/FID ne 2 index/UniqueID ne and
+ {def}{pop pop}ifelse
+ }forall
+}bind def
+/ct_Type0CopyFont
+{
+ exch
+ dup length dict
+ begin
+ ct_CopyFont
+ [
+ exch
+ FDepVector
+ {
+ dup/FontType get 0 eq
+ {
+ 1 index ct_Type0CopyFont
+ /_ctType0 exch definefont
+ }
+ {
+ /_ctBaseFont exch
+ 2 index exec
+ }
+ ifelse
+ exch
+ }
+ forall
+ pop
+ ]
+ /FDepVector exch def
+ currentdict
+ end
+}bind def
+/ct_MakeBoldFont
+{
+ dup/ct_SyntheticBold known
+ {
+ dup length 3 add dict begin
+ ct_CopyFont
+ /ct_StrokeWidth .03 0 FontMatrix idtransform pop def
+ /ct_SyntheticBold true def
+ currentdict
+ end
+ definefont
+ }
+ {
+ dup dup length 3 add dict
+ begin
+ ct_CopyFont
+ /PaintType 2 def
+ /StrokeWidth .03 0 FontMatrix idtransform pop def
+ /dummybold currentdict
+ end
+ definefont
+ dup/FontType get dup 9 ge exch 11 le and
+ {
+ ct_BoldBaseCIDFont
+ dup length 3 add dict copy begin
+ dup/CIDSystemInfo get/CIDSystemInfo exch def
+ ct_DefineIdentity-H
+ /_Type0Identity/Identity-H 3 -1 roll[exch]composefont
+ /_basefont exch def
+ /_Type0Identity/Identity-H 3 -1 roll[exch]composefont
+ /_basefonto exch def
+ currentdict
+ end
+ /CIDFont defineresource
+ }
+ {
+ ct_BoldBaseFont
+ dup length 3 add dict copy begin
+ /_basefont exch def
+ /_basefonto exch def
+ currentdict
+ end
+ definefont
+ }
+ ifelse
+ }
+ ifelse
+}bind def
+/ct_MakeBold{
+ 1 index
+ 1 index
+ findfont
+ currentglobal 5 1 roll
+ dup gcheck setglobal
+ dup
+ /FontType get 0 eq
+ {
+ dup/WMode known{dup/WMode get 1 eq}{false}ifelse
+ version length 4 ge
+ and
+ {version 0 4 getinterval cvi 2015 ge}
+ {true}
+ ifelse
+ {/ct_Type0WidthProc}
+ {/ct_Type0WMode1WidthProc}
+ ifelse
+ ct_BoldBaseFont/_setwidthProc 3 -1 roll load put
+ {ct_MakeBoldFont}ct_Type0CopyFont definefont
+ }
+ {
+ dup/_fauxfont known not 1 index/SubstMaster known not and
+ {
+ ct_BoldBaseFont/_setwidthProc /ct_BoldRomanWidthProc load put
+ ct_MakeBoldFont
+ }
+ {
+ 2 index 2 index eq
+ {exch pop }
+ {
+ dup length dict begin
+ ct_CopyFont
+ currentdict
+ end
+ definefont
+ }
+ ifelse
+ }
+ ifelse
+ }
+ ifelse
+ pop pop pop
+ setglobal
+}bind def
+/?str1 256 string def
+/?set
+ {
+ $SubstituteFont
+ begin
+ /$substituteFound false def
+ /$fontname 1 index def
+ /$doSmartSub false def
+ end
+ dup
+ findfont
+ $SubstituteFont
+ begin
+ $substituteFound
+ {false}
+ {
+ dup/FontName known
+ {
+ dup/FontName get $fontname eq
+ 1 index/DistillerFauxFont known not and
+ /currentdistillerparams where
+ {pop false 2 index isWidthsOnlyFont not and}
+ if
+ }
+ {false}
+ ifelse
+ }
+ ifelse
+ exch pop
+ /$doSmartSub true def
+ end
+ {
+ 5 1 roll pop pop pop pop
+ findfont
+ }
+ {
+ 1 index
+ findfont
+ dup/FontType get 3 eq
+ {
+ 6 1 roll pop pop pop pop pop false
+ }
+ {pop true}
+ ifelse
+ {
+ $SubstituteFont
+ begin
+ pop pop
+ /$styleArray 1 index def
+ /$regOrdering 2 index def
+ pop pop
+ 0 1 $styleArray length 1 sub
+ {
+ $styleArray exch get
+ ct_StyleDicts $regOrdering
+ 2 copy known
+ {
+ get
+ exch 2 copy known not
+ {pop/Default}
+ if
+ get
+ dup type/nametype eq
+ {
+ ?str1 cvs length dup 1 add exch
+ ?str1 exch(-)putinterval
+ exch dup length exch ?str1 exch 3 index exch putinterval
+ add ?str1 exch 0 exch getinterval cvn
+ }
+ {
+ pop pop/Unknown
+ }
+ ifelse
+ }
+ {
+ pop pop pop pop/Unknown
+ }
+ ifelse
+ }
+ for
+ end
+ findfont
+ }if
+ }
+ ifelse
+ currentglobal false setglobal 3 1 roll
+ null copyfont definefont pop
+ setglobal
+ }bind def
+setpacking
+userdict/$SubstituteFont 25 dict put
+1 dict
+ begin
+ /SubstituteFont
+ dup $error exch 2 copy known
+ {get}
+ {pop pop{pop/Courier}bind}
+ ifelse def
+ /currentdistillerparams where dup
+ {
+ pop pop
+ currentdistillerparams/CannotEmbedFontPolicy 2 copy known
+ {get/Error eq}
+ {pop pop false}
+ ifelse
+ }
+ if not
+ {
+ countdictstack array dictstack 0 get
+ begin
+ userdict
+ begin
+ $SubstituteFont
+ begin
+ /$str 128 string def
+ /$fontpat 128 string def
+ /$slen 0 def
+ /$sname null def
+ /$match false def
+ /$fontname null def
+ /$substituteFound false def
+ /$inVMIndex null def
+ /$doSmartSub true def
+ /$depth 0 def
+ /$fontname null def
+ /$italicangle 26.5 def
+ /$dstack null def
+ /$Strategies 10 dict dup
+ begin
+ /$Type3Underprint
+ {
+ currentglobal exch false setglobal
+ 11 dict
+ begin
+ /UseFont exch
+ $WMode 0 ne
+ {
+ dup length dict copy
+ dup/WMode $WMode put
+ /UseFont exch definefont
+ }
+ if def
+ /FontName $fontname dup type/stringtype eq{cvn}if def
+ /FontType 3 def
+ /FontMatrix[.001 0 0 .001 0 0]def
+ /Encoding 256 array dup 0 1 255{/.notdef put dup}for pop def
+ /FontBBox[0 0 0 0]def
+ /CCInfo 7 dict dup
+ begin
+ /cc null def
+ /x 0 def
+ /y 0 def
+ end def
+ /BuildChar
+ {
+ exch
+ begin
+ CCInfo
+ begin
+ 1 string dup 0 3 index put exch pop
+ /cc exch def
+ UseFont 1000 scalefont setfont
+ cc stringwidth/y exch def/x exch def
+ x y setcharwidth
+ $SubstituteFont/$Strategy get/$Underprint get exec
+ 0 0 moveto cc show
+ x y moveto
+ end
+ end
+ }bind def
+ currentdict
+ end
+ exch setglobal
+ }bind def
+ /$GetaTint
+ 2 dict dup
+ begin
+ /$BuildFont
+ {
+ dup/WMode known
+ {dup/WMode get}
+ {0}
+ ifelse
+ /$WMode exch def
+ $fontname exch
+ dup/FontName known
+ {
+ dup/FontName get
+ dup type/stringtype eq{cvn}if
+ }
+ {/unnamedfont}
+ ifelse
+ exch
+ Adobe_CoolType_Data/InVMDeepCopiedFonts get
+ 1 index/FontName get known
+ {
+ pop
+ Adobe_CoolType_Data/InVMDeepCopiedFonts get
+ 1 index get
+ null copyfont
+ }
+ {$deepcopyfont}
+ ifelse
+ exch 1 index exch/FontBasedOn exch put
+ dup/FontName $fontname dup type/stringtype eq{cvn}if put
+ definefont
+ Adobe_CoolType_Data/InVMDeepCopiedFonts get
+ begin
+ dup/FontBasedOn get 1 index def
+ end
+ }bind def
+ /$Underprint
+ {
+ gsave
+ x abs y abs gt
+ {/y 1000 def}
+ {/x -1000 def 500 120 translate}
+ ifelse
+ Level2?
+ {
+ [/Separation(All)/DeviceCMYK{0 0 0 1 pop}]
+ setcolorspace
+ }
+ {0 setgray}
+ ifelse
+ 10 setlinewidth
+ x .8 mul
+ [7 3]
+ {
+ y mul 8 div 120 sub x 10 div exch moveto
+ 0 y 4 div neg rlineto
+ dup 0 rlineto
+ 0 y 4 div rlineto
+ closepath
+ gsave
+ Level2?
+ {.2 setcolor}
+ {.8 setgray}
+ ifelse
+ fill grestore
+ stroke
+ }
+ forall
+ pop
+ grestore
+ }bind def
+ end def
+ /$Oblique
+ 1 dict dup
+ begin
+ /$BuildFont
+ {
+ currentglobal exch dup gcheck setglobal
+ null copyfont
+ begin
+ /FontBasedOn
+ currentdict/FontName known
+ {
+ FontName
+ dup type/stringtype eq{cvn}if
+ }
+ {/unnamedfont}
+ ifelse
+ def
+ /FontName $fontname dup type/stringtype eq{cvn}if def
+ /currentdistillerparams where
+ {pop}
+ {
+ /FontInfo currentdict/FontInfo known
+ {FontInfo null copyfont}
+ {2 dict}
+ ifelse
+ dup
+ begin
+ /ItalicAngle $italicangle def
+ /FontMatrix FontMatrix
+ [1 0 ItalicAngle dup sin exch cos div 1 0 0]
+ matrix concatmatrix readonly
+ end
+ 4 2 roll def
+ def
+ }
+ ifelse
+ FontName currentdict
+ end
+ definefont
+ exch setglobal
+ }bind def
+ end def
+ /$None
+ 1 dict dup
+ begin
+ /$BuildFont{}bind def
+ end def
+ end def
+ /$Oblique SetSubstituteStrategy
+ /$findfontByEnum
+ {
+ dup type/stringtype eq{cvn}if
+ dup/$fontname exch def
+ $sname null eq
+ {$str cvs dup length $slen sub $slen getinterval}
+ {pop $sname}
+ ifelse
+ $fontpat dup 0(fonts/*)putinterval exch 7 exch putinterval
+ /$match false def
+ $SubstituteFont/$dstack countdictstack array dictstack put
+ mark
+ {
+ $fontpat 0 $slen 7 add getinterval
+ {/$match exch def exit}
+ $str filenameforall
+ }
+ stopped
+ {
+ cleardictstack
+ currentdict
+ true
+ $SubstituteFont/$dstack get
+ {
+ exch
+ {
+ 1 index eq
+ {pop false}
+ {true}
+ ifelse
+ }
+ {begin false}
+ ifelse
+ }
+ forall
+ pop
+ }
+ if
+ cleartomark
+ /$slen 0 def
+ $match false ne
+ {$match(fonts/)anchorsearch pop pop cvn}
+ {/Courier}
+ ifelse
+ }bind def
+ /$ROS 1 dict dup
+ begin
+ /Adobe 4 dict dup
+ begin
+ /Japan1 [/Ryumin-Light/HeiseiMin-W3
+ /GothicBBB-Medium/HeiseiKakuGo-W5
+ /HeiseiMaruGo-W4/Jun101-Light]def
+ /Korea1 [/HYSMyeongJo-Medium/HYGoThic-Medium]def
+ /GB1 [/STSong-Light/STHeiti-Regular]def
+ /CNS1 [/MKai-Medium/MHei-Medium]def
+ end def
+ end def
+ /$cmapname null def
+ /$deepcopyfont
+ {
+ dup/FontType get 0 eq
+ {
+ 1 dict dup/FontName/copied put copyfont
+ begin
+ /FDepVector FDepVector copyarray
+ 0 1 2 index length 1 sub
+ {
+ 2 copy get $deepcopyfont
+ dup/FontName/copied put
+ /copied exch definefont
+ 3 copy put pop pop
+ }
+ for
+ def
+ currentdict
+ end
+ }
+ {$Strategies/$Type3Underprint get exec}
+ ifelse
+ }bind def
+ /$buildfontname
+ {
+ dup/CIDFont findresource/CIDSystemInfo get
+ begin
+ Registry length Ordering length Supplement 8 string cvs
+ 3 copy length 2 add add add string
+ dup 5 1 roll dup 0 Registry putinterval
+ dup 4 index(-)putinterval
+ dup 4 index 1 add Ordering putinterval
+ 4 2 roll add 1 add 2 copy(-)putinterval
+ end
+ 1 add 2 copy 0 exch getinterval $cmapname $fontpat cvs exch
+ anchorsearch
+ {pop pop 3 2 roll putinterval cvn/$cmapname exch def}
+ {pop pop pop pop pop}
+ ifelse
+ length
+ $str 1 index(-)putinterval 1 add
+ $str 1 index $cmapname $fontpat cvs putinterval
+ $cmapname length add
+ $str exch 0 exch getinterval cvn
+ }bind def
+ /$findfontByROS
+ {
+ /$fontname exch def
+ $ROS Registry 2 copy known
+ {
+ get Ordering 2 copy known
+ {get}
+ {pop pop[]}
+ ifelse
+ }
+ {pop pop[]}
+ ifelse
+ false exch
+ {
+ dup/CIDFont resourcestatus
+ {
+ pop pop
+ save
+ 1 index/CIDFont findresource
+ dup/WidthsOnly known
+ {dup/WidthsOnly get}
+ {false}
+ ifelse
+ exch pop
+ exch restore
+ {pop}
+ {exch pop true exit}
+ ifelse
+ }
+ {pop}
+ ifelse
+ }
+ forall
+ {$str cvs $buildfontname}
+ {
+ false(*)
+ {
+ save exch
+ dup/CIDFont findresource
+ dup/WidthsOnly known
+ {dup/WidthsOnly get not}
+ {true}
+ ifelse
+ exch/CIDSystemInfo get
+ dup/Registry get Registry eq
+ exch/Ordering get Ordering eq and and
+ {exch restore exch pop true exit}
+ {pop restore}
+ ifelse
+ }
+ $str/CIDFont resourceforall
+ {$buildfontname}
+ {$fontname $findfontByEnum}
+ ifelse
+ }
+ ifelse
+ }bind def
+ end
+ end
+ currentdict/$error known currentdict/languagelevel known and dup
+ {pop $error/SubstituteFont known}
+ if
+ dup
+ {$error}
+ {Adobe_CoolType_Core}
+ ifelse
+ begin
+ {
+ /SubstituteFont
+ /CMap/Category resourcestatus
+ {
+ pop pop
+ {
+ $SubstituteFont
+ begin
+ /$substituteFound true def
+ dup length $slen gt
+ $sname null ne or
+ $slen 0 gt and
+ {
+ $sname null eq
+ {dup $str cvs dup length $slen sub $slen getinterval cvn}
+ {$sname}
+ ifelse
+ Adobe_CoolType_Data/InVMFontsByCMap get
+ 1 index 2 copy known
+ {
+ get
+ false exch
+ {
+ pop
+ currentglobal
+ {
+ GlobalFontDirectory 1 index known
+ {exch pop true exit}
+ {pop}
+ ifelse
+ }
+ {
+ FontDirectory 1 index known
+ {exch pop true exit}
+ {
+ GlobalFontDirectory 1 index known
+ {exch pop true exit}
+ {pop}
+ ifelse
+ }
+ ifelse
+ }
+ ifelse
+ }
+ forall
+ }
+ {pop pop false}
+ ifelse
+ {
+ exch pop exch pop
+ }
+ {
+ dup/CMap resourcestatus
+ {
+ pop pop
+ dup/$cmapname exch def
+ /CMap findresource/CIDSystemInfo get{def}forall
+ $findfontByROS
+ }
+ {
+ 128 string cvs
+ dup(-)search
+ {
+ 3 1 roll search
+ {
+ 3 1 roll pop
+ {dup cvi}
+ stopped
+ {pop pop pop pop pop $findfontByEnum}
+ {
+ 4 2 roll pop pop
+ exch length
+ exch
+ 2 index length
+ 2 index
+ sub
+ exch 1 sub -1 0
+ {
+ $str cvs dup length
+ 4 index
+ 0
+ 4 index
+ 4 3 roll add
+ getinterval
+ exch 1 index exch 3 index exch
+ putinterval
+ dup/CMap resourcestatus
+ {
+ pop pop
+ 4 1 roll pop pop pop
+ dup/$cmapname exch def
+ /CMap findresource/CIDSystemInfo get{def}forall
+ $findfontByROS
+ true exit
+ }
+ {pop}
+ ifelse
+ }
+ for
+ dup type/booleantype eq
+ {pop}
+ {pop pop pop $findfontByEnum}
+ ifelse
+ }
+ ifelse
+ }
+ {pop pop pop $findfontByEnum}
+ ifelse
+ }
+ {pop pop $findfontByEnum}
+ ifelse
+ }
+ ifelse
+ }
+ ifelse
+ }
+ {//SubstituteFont exec}
+ ifelse
+ /$slen 0 def
+ end
+ }
+ }
+ {
+ {
+ $SubstituteFont
+ begin
+ /$substituteFound true def
+ dup length $slen gt
+ $sname null ne or
+ $slen 0 gt and
+ {$findfontByEnum}
+ {//SubstituteFont exec}
+ ifelse
+ end
+ }
+ }
+ ifelse
+ bind readonly def
+ Adobe_CoolType_Core/scfindfont/systemfindfont load put
+ }
+ {
+ /scfindfont
+ {
+ $SubstituteFont
+ begin
+ dup systemfindfont
+ dup/FontName known
+ {dup/FontName get dup 3 index ne}
+ {/noname true}
+ ifelse
+ dup
+ {
+ /$origfontnamefound 2 index def
+ /$origfontname 4 index def/$substituteFound true def
+ }
+ if
+ exch pop
+ {
+ $slen 0 gt
+ $sname null ne
+ 3 index length $slen gt or and
+ {
+ pop dup $findfontByEnum findfont
+ dup maxlength 1 add dict
+ begin
+ {1 index/FID eq{pop pop}{def}ifelse}
+ forall
+ currentdict
+ end
+ definefont
+ dup/FontName known{dup/FontName get}{null}ifelse
+ $origfontnamefound ne
+ {
+ $origfontname $str cvs print
+ ( substitution revised, using )print
+ dup/FontName known
+ {dup/FontName get}{(unspecified font)}
+ ifelse
+ $str cvs print(.\n)print
+ }
+ if
+ }
+ {exch pop}
+ ifelse
+ }
+ {exch pop}
+ ifelse
+ end
+ }bind def
+ }
+ ifelse
+ end
+ end
+ Adobe_CoolType_Core_Defined not
+ {
+ Adobe_CoolType_Core/findfont
+ {
+ $SubstituteFont
+ begin
+ $depth 0 eq
+ {
+ /$fontname 1 index dup type/stringtype ne{$str cvs}if def
+ /$substituteFound false def
+ }
+ if
+ /$depth $depth 1 add def
+ end
+ scfindfont
+ $SubstituteFont
+ begin
+ /$depth $depth 1 sub def
+ $substituteFound $depth 0 eq and
+ {
+ $inVMIndex null ne
+ {dup $inVMIndex $AddInVMFont}
+ if
+ $doSmartSub
+ {
+ currentdict/$Strategy known
+ {$Strategy/$BuildFont get exec}
+ if
+ }
+ if
+ }
+ if
+ end
+ }bind put
+ }
+ if
+ }
+ if
+ end
+/$AddInVMFont
+ {
+ exch/FontName 2 copy known
+ {
+ get
+ 1 dict dup begin exch 1 index gcheck def end exch
+ Adobe_CoolType_Data/InVMFontsByCMap get exch
+ $DictAdd
+ }
+ {pop pop pop}
+ ifelse
+ }bind def
+/$DictAdd
+ {
+ 2 copy known not
+ {2 copy 4 index length dict put}
+ if
+ Level2? not
+ {
+ 2 copy get dup maxlength exch length 4 index length add lt
+ 2 copy get dup length 4 index length add exch maxlength 1 index lt
+ {
+ 2 mul dict
+ begin
+ 2 copy get{forall}def
+ 2 copy currentdict put
+ end
+ }
+ {pop}
+ ifelse
+ }
+ if
+ get
+ begin
+ {def}
+ forall
+ end
+ }bind def
+end
+end
+%%EndResource
+currentglobal true setglobal
+%%BeginResource: procset Adobe_CoolType_Utility_MAKEOCF 1.23 0
+%%Copyright: Copyright 1987-2006 Adobe Systems Incorporated.
+%%Version: 1.23 0
+systemdict/languagelevel known dup
+ {currentglobal false setglobal}
+ {false}
+ifelse
+exch
+userdict/Adobe_CoolType_Utility 2 copy known
+ {2 copy get dup maxlength 27 add dict copy}
+ {27 dict}
+ifelse put
+Adobe_CoolType_Utility
+ begin
+ /@eexecStartData
+ <BAB431EA07F209EB8C4348311481D9D3F76E3D15246555577D87BC510ED54E
+ 118C39697FA9F6DB58128E60EB8A12FA24D7CDD2FA94D221FA9EC8DA3E5E6A1C
+ 4ACECC8C2D39C54E7C946031DD156C3A6B4A09AD29E1867A>def
+ /@recognizeCIDFont null def
+ /ct_Level2? exch def
+ /ct_Clone? 1183615869 internaldict dup
+ /CCRun known not
+ exch/eCCRun known not
+ ct_Level2? and or def
+ct_Level2?
+ {globaldict begin currentglobal true setglobal}
+if
+ /ct_AddStdCIDMap
+ ct_Level2?
+ {{
+ mark
+ Adobe_CoolType_Utility/@recognizeCIDFont currentdict put
+ {
+ ((Hex)57 StartData
+ 0615 1e27 2c39 1c60 d8a8 cc31 fe2b f6e0
+ 7aa3 e541 e21c 60d8 a8c9 c3d0 6d9e 1c60
+ d8a8 c9c2 02d7 9a1c 60d8 a849 1c60 d8a8
+ cc36 74f4 1144 b13b 77)0()/SubFileDecode filter cvx exec
+ }
+ stopped
+ {
+ cleartomark
+ Adobe_CoolType_Utility/@recognizeCIDFont get
+ countdictstack dup array dictstack
+ exch 1 sub -1 0
+ {
+ 2 copy get 3 index eq
+ {1 index length exch sub 1 sub{end}repeat exit}
+ {pop}
+ ifelse
+ }
+ for
+ pop pop
+ Adobe_CoolType_Utility/@eexecStartData get eexec
+ }
+ {cleartomark}
+ ifelse
+ }}
+ {{
+ Adobe_CoolType_Utility/@eexecStartData get eexec
+ }}
+ ifelse bind def
+userdict/cid_extensions known
+dup{cid_extensions/cid_UpdateDB known and}if
+ {
+ cid_extensions
+ begin
+ /cid_GetCIDSystemInfo
+ {
+ 1 index type/stringtype eq
+ {exch cvn exch}
+ if
+ cid_extensions
+ begin
+ dup load 2 index known
+ {
+ 2 copy
+ cid_GetStatusInfo
+ dup null ne
+ {
+ 1 index load
+ 3 index get
+ dup null eq
+ {pop pop cid_UpdateDB}
+ {
+ exch
+ 1 index/Created get eq
+ {exch pop exch pop}
+ {pop cid_UpdateDB}
+ ifelse
+ }
+ ifelse
+ }
+ {pop cid_UpdateDB}
+ ifelse
+ }
+ {cid_UpdateDB}
+ ifelse
+ end
+ }bind def
+ end
+ }
+if
+ct_Level2?
+ {end setglobal}
+if
+ /ct_UseNativeCapability? systemdict/composefont known def
+ /ct_MakeOCF 35 dict def
+ /ct_Vars 25 dict def
+ /ct_GlyphDirProcs 6 dict def
+ /ct_BuildCharDict 15 dict dup
+ begin
+ /charcode 2 string def
+ /dst_string 1500 string def
+ /nullstring()def
+ /usewidths? true def
+ end def
+ ct_Level2?{setglobal}{pop}ifelse
+ ct_GlyphDirProcs
+ begin
+ /GetGlyphDirectory
+ {
+ systemdict/languagelevel known
+ {pop/CIDFont findresource/GlyphDirectory get}
+ {
+ 1 index/CIDFont findresource/GlyphDirectory
+ get dup type/dicttype eq
+ {
+ dup dup maxlength exch length sub 2 index lt
+ {
+ dup length 2 index add dict copy 2 index
+ /CIDFont findresource/GlyphDirectory 2 index put
+ }
+ if
+ }
+ if
+ exch pop exch pop
+ }
+ ifelse
+ +
+ }def
+ /+
+ {
+ systemdict/languagelevel known
+ {
+ currentglobal false setglobal
+ 3 dict begin
+ /vm exch def
+ }
+ {1 dict begin}
+ ifelse
+ /$ exch def
+ systemdict/languagelevel known
+ {
+ vm setglobal
+ /gvm currentglobal def
+ $ gcheck setglobal
+ }
+ if
+ ?{$ begin}if
+ }def
+ /?{$ type/dicttype eq}def
+ /|{
+ userdict/Adobe_CoolType_Data known
+ {
+ Adobe_CoolType_Data/AddWidths? known
+ {
+ currentdict Adobe_CoolType_Data
+ begin
+ begin
+ AddWidths?
+ {
+ Adobe_CoolType_Data/CC 3 index put
+ ?{def}{$ 3 1 roll put}ifelse
+ CC charcode exch 1 index 0 2 index 256 idiv put
+ 1 index exch 1 exch 256 mod put
+ stringwidth 2 array astore
+ currentfont/Widths get exch CC exch put
+ }
+ {?{def}{$ 3 1 roll put}ifelse}
+ ifelse
+ end
+ end
+ }
+ {?{def}{$ 3 1 roll put}ifelse} ifelse
+ }
+ {?{def}{$ 3 1 roll put}ifelse}
+ ifelse
+ }def
+ /!
+ {
+ ?{end}if
+ systemdict/languagelevel known
+ {gvm setglobal}
+ if
+ end
+ }def
+ /:{string currentfile exch readstring pop}executeonly def
+ end
+ ct_MakeOCF
+ begin
+ /ct_cHexEncoding
+ [/c00/c01/c02/c03/c04/c05/c06/c07/c08/c09/c0A/c0B/c0C/c0D/c0E/c0F/c10/c11/c12
+ /c13/c14/c15/c16/c17/c18/c19/c1A/c1B/c1C/c1D/c1E/c1F/c20/c21/c22/c23/c24/c25
+ /c26/c27/c28/c29/c2A/c2B/c2C/c2D/c2E/c2F/c30/c31/c32/c33/c34/c35/c36/c37/c38
+ /c39/c3A/c3B/c3C/c3D/c3E/c3F/c40/c41/c42/c43/c44/c45/c46/c47/c48/c49/c4A/c4B
+ /c4C/c4D/c4E/c4F/c50/c51/c52/c53/c54/c55/c56/c57/c58/c59/c5A/c5B/c5C/c5D/c5E
+ /c5F/c60/c61/c62/c63/c64/c65/c66/c67/c68/c69/c6A/c6B/c6C/c6D/c6E/c6F/c70/c71
+ /c72/c73/c74/c75/c76/c77/c78/c79/c7A/c7B/c7C/c7D/c7E/c7F/c80/c81/c82/c83/c84
+ /c85/c86/c87/c88/c89/c8A/c8B/c8C/c8D/c8E/c8F/c90/c91/c92/c93/c94/c95/c96/c97
+ /c98/c99/c9A/c9B/c9C/c9D/c9E/c9F/cA0/cA1/cA2/cA3/cA4/cA5/cA6/cA7/cA8/cA9/cAA
+ /cAB/cAC/cAD/cAE/cAF/cB0/cB1/cB2/cB3/cB4/cB5/cB6/cB7/cB8/cB9/cBA/cBB/cBC/cBD
+ /cBE/cBF/cC0/cC1/cC2/cC3/cC4/cC5/cC6/cC7/cC8/cC9/cCA/cCB/cCC/cCD/cCE/cCF/cD0
+ /cD1/cD2/cD3/cD4/cD5/cD6/cD7/cD8/cD9/cDA/cDB/cDC/cDD/cDE/cDF/cE0/cE1/cE2/cE3
+ /cE4/cE5/cE6/cE7/cE8/cE9/cEA/cEB/cEC/cED/cEE/cEF/cF0/cF1/cF2/cF3/cF4/cF5/cF6
+ /cF7/cF8/cF9/cFA/cFB/cFC/cFD/cFE/cFF]def
+ /ct_CID_STR_SIZE 8000 def
+ /ct_mkocfStr100 100 string def
+ /ct_defaultFontMtx[.001 0 0 .001 0 0]def
+ /ct_1000Mtx[1000 0 0 1000 0 0]def
+ /ct_raise{exch cvx exch errordict exch get exec stop}bind def
+ /ct_reraise
+ {cvx $error/errorname get(Error: )print dup( )cvs print
+ errordict exch get exec stop
+ }bind def
+ /ct_cvnsi
+ {
+ 1 index add 1 sub 1 exch 0 4 1 roll
+ {
+ 2 index exch get
+ exch 8 bitshift
+ add
+ }
+ for
+ exch pop
+ }bind def
+ /ct_GetInterval
+ {
+ Adobe_CoolType_Utility/ct_BuildCharDict get
+ begin
+ /dst_index 0 def
+ dup dst_string length gt
+ {dup string/dst_string exch def}
+ if
+ 1 index ct_CID_STR_SIZE idiv
+ /arrayIndex exch def
+ 2 index arrayIndex get
+ 2 index
+ arrayIndex ct_CID_STR_SIZE mul
+ sub
+ {
+ dup 3 index add 2 index length le
+ {
+ 2 index getinterval
+ dst_string dst_index 2 index putinterval
+ length dst_index add/dst_index exch def
+ exit
+ }
+ {
+ 1 index length 1 index sub
+ dup 4 1 roll
+ getinterval
+ dst_string dst_index 2 index putinterval
+ pop dup dst_index add/dst_index exch def
+ sub
+ /arrayIndex arrayIndex 1 add def
+ 2 index dup length arrayIndex gt
+ {arrayIndex get}
+ {
+ pop
+ exit
+ }
+ ifelse
+ 0
+ }
+ ifelse
+ }
+ loop
+ pop pop pop
+ dst_string 0 dst_index getinterval
+ end
+ }bind def
+ ct_Level2?
+ {
+ /ct_resourcestatus
+ currentglobal mark true setglobal
+ {/unknowninstancename/Category resourcestatus}
+ stopped
+ {cleartomark setglobal true}
+ {cleartomark currentglobal not exch setglobal}
+ ifelse
+ {
+ {
+ mark 3 1 roll/Category findresource
+ begin
+ ct_Vars/vm currentglobal put
+ ({ResourceStatus}stopped)0()/SubFileDecode filter cvx exec
+ {cleartomark false}
+ {{3 2 roll pop true}{cleartomark false}ifelse}
+ ifelse
+ ct_Vars/vm get setglobal
+ end
+ }
+ }
+ {{resourcestatus}}
+ ifelse bind def
+ /CIDFont/Category ct_resourcestatus
+ {pop pop}
+ {
+ currentglobal true setglobal
+ /Generic/Category findresource
+ dup length dict copy
+ dup/InstanceType/dicttype put
+ /CIDFont exch/Category defineresource pop
+ setglobal
+ }
+ ifelse
+ ct_UseNativeCapability?
+ {
+ /CIDInit/ProcSet findresource begin
+ 12 dict begin
+ begincmap
+ /CIDSystemInfo 3 dict dup begin
+ /Registry(Adobe)def
+ /Ordering(Identity)def
+ /Supplement 0 def
+ end def
+ /CMapName/Identity-H def
+ /CMapVersion 1.000 def
+ /CMapType 1 def
+ 1 begincodespacerange
+ <0000><FFFF>
+ endcodespacerange
+ 1 begincidrange
+ <0000><FFFF>0
+ endcidrange
+ endcmap
+ CMapName currentdict/CMap defineresource pop
+ end
+ end
+ }
+ if
+ }
+ {
+ /ct_Category 2 dict begin
+ /CIDFont 10 dict def
+ /ProcSet 2 dict def
+ currentdict
+ end
+ def
+ /defineresource
+ {
+ ct_Category 1 index 2 copy known
+ {
+ get
+ dup dup maxlength exch length eq
+ {
+ dup length 10 add dict copy
+ ct_Category 2 index 2 index put
+ }
+ if
+ 3 index 3 index put
+ pop exch pop
+ }
+ {pop pop/defineresource/undefined ct_raise}
+ ifelse
+ }bind def
+ /findresource
+ {
+ ct_Category 1 index 2 copy known
+ {
+ get
+ 2 index 2 copy known
+ {get 3 1 roll pop pop}
+ {pop pop/findresource/undefinedresource ct_raise}
+ ifelse
+ }
+ {pop pop/findresource/undefined ct_raise}
+ ifelse
+ }bind def
+ /resourcestatus
+ {
+ ct_Category 1 index 2 copy known
+ {
+ get
+ 2 index known
+ exch pop exch pop
+ {
+ 0 -1 true
+ }
+ {
+ false
+ }
+ ifelse
+ }
+ {pop pop/findresource/undefined ct_raise}
+ ifelse
+ }bind def
+ /ct_resourcestatus/resourcestatus load def
+ }
+ ifelse
+ /ct_CIDInit 2 dict
+ begin
+ /ct_cidfont_stream_init
+ {
+ {
+ dup(Binary)eq
+ {
+ pop
+ null
+ currentfile
+ ct_Level2?
+ {
+ {cid_BYTE_COUNT()/SubFileDecode filter}
+ stopped
+ {pop pop pop}
+ if
+ }
+ if
+ /readstring load
+ exit
+ }
+ if
+ dup(Hex)eq
+ {
+ pop
+ currentfile
+ ct_Level2?
+ {
+ {null exch/ASCIIHexDecode filter/readstring}
+ stopped
+ {pop exch pop(>)exch/readhexstring}
+ if
+ }
+ {(>)exch/readhexstring}
+ ifelse
+ load
+ exit
+ }
+ if
+ /StartData/typecheck ct_raise
+ }
+ loop
+ cid_BYTE_COUNT ct_CID_STR_SIZE le
+ {
+ 2 copy cid_BYTE_COUNT string exch exec
+ pop
+ 1 array dup
+ 3 -1 roll
+ 0 exch put
+ }
+ {
+ cid_BYTE_COUNT ct_CID_STR_SIZE div ceiling cvi
+ dup array exch 2 sub 0 exch 1 exch
+ {
+ 2 copy
+ 5 index
+ ct_CID_STR_SIZE
+ string
+ 6 index exec
+ pop
+ put
+ pop
+ }
+ for
+ 2 index
+ cid_BYTE_COUNT ct_CID_STR_SIZE mod string
+ 3 index exec
+ pop
+ 1 index exch
+ 1 index length 1 sub
+ exch put
+ }
+ ifelse
+ cid_CIDFONT exch/GlyphData exch put
+ 2 index null eq
+ {
+ pop pop pop
+ }
+ {
+ pop/readstring load
+ 1 string exch
+ {
+ 3 copy exec
+ pop
+ dup length 0 eq
+ {
+ pop pop pop pop pop
+ true exit
+ }
+ if
+ 4 index
+ eq
+ {
+ pop pop pop pop
+ false exit
+ }
+ if
+ }
+ loop
+ pop
+ }
+ ifelse
+ }bind def
+ /StartData
+ {
+ mark
+ {
+ currentdict
+ dup/FDArray get 0 get/FontMatrix get
+ 0 get 0.001 eq
+ {
+ dup/CDevProc known not
+ {
+ /CDevProc 1183615869 internaldict/stdCDevProc 2 copy known
+ {get}
+ {
+ pop pop
+ {pop pop pop pop pop 0 -1000 7 index 2 div 880}
+ }
+ ifelse
+ def
+ }
+ if
+ }
+ {
+ /CDevProc
+ {
+ pop pop pop pop pop
+ 0
+ 1 cid_temp/cid_CIDFONT get
+ /FDArray get 0 get
+ /FontMatrix get 0 get div
+ 7 index 2 div
+ 1 index 0.88 mul
+ }def
+ }
+ ifelse
+ /cid_temp 15 dict def
+ cid_temp
+ begin
+ /cid_CIDFONT exch def
+ 3 copy pop
+ dup/cid_BYTE_COUNT exch def 0 gt
+ {
+ ct_cidfont_stream_init
+ FDArray
+ {
+ /Private get
+ dup/SubrMapOffset known
+ {
+ begin
+ /Subrs SubrCount array def
+ Subrs
+ SubrMapOffset
+ SubrCount
+ SDBytes
+ ct_Level2?
+ {
+ currentdict dup/SubrMapOffset undef
+ dup/SubrCount undef
+ /SDBytes undef
+ }
+ if
+ end
+ /cid_SD_BYTES exch def
+ /cid_SUBR_COUNT exch def
+ /cid_SUBR_MAP_OFFSET exch def
+ /cid_SUBRS exch def
+ cid_SUBR_COUNT 0 gt
+ {
+ GlyphData cid_SUBR_MAP_OFFSET cid_SD_BYTES ct_GetInterval
+ 0 cid_SD_BYTES ct_cvnsi
+ 0 1 cid_SUBR_COUNT 1 sub
+ {
+ exch 1 index
+ 1 add
+ cid_SD_BYTES mul cid_SUBR_MAP_OFFSET add
+ GlyphData exch cid_SD_BYTES ct_GetInterval
+ 0 cid_SD_BYTES ct_cvnsi
+ cid_SUBRS 4 2 roll
+ GlyphData exch
+ 4 index
+ 1 index
+ sub
+ ct_GetInterval
+ dup length string copy put
+ }
+ for
+ pop
+ }
+ if
+ }
+ {pop}
+ ifelse
+ }
+ forall
+ }
+ if
+ cleartomark pop pop
+ end
+ CIDFontName currentdict/CIDFont defineresource pop
+ end end
+ }
+ stopped
+ {cleartomark/StartData ct_reraise}
+ if
+ }bind def
+ currentdict
+ end def
+ /ct_saveCIDInit
+ {
+ /CIDInit/ProcSet ct_resourcestatus
+ {true}
+ {/CIDInitC/ProcSet ct_resourcestatus}
+ ifelse
+ {
+ pop pop
+ /CIDInit/ProcSet findresource
+ ct_UseNativeCapability?
+ {pop null}
+ {/CIDInit ct_CIDInit/ProcSet defineresource pop}
+ ifelse
+ }
+ {/CIDInit ct_CIDInit/ProcSet defineresource pop null}
+ ifelse
+ ct_Vars exch/ct_oldCIDInit exch put
+ }bind def
+ /ct_restoreCIDInit
+ {
+ ct_Vars/ct_oldCIDInit get dup null ne
+ {/CIDInit exch/ProcSet defineresource pop}
+ {pop}
+ ifelse
+ }bind def
+ /ct_BuildCharSetUp
+ {
+ 1 index
+ begin
+ CIDFont
+ begin
+ Adobe_CoolType_Utility/ct_BuildCharDict get
+ begin
+ /ct_dfCharCode exch def
+ /ct_dfDict exch def
+ CIDFirstByte ct_dfCharCode add
+ dup CIDCount ge
+ {pop 0}
+ if
+ /cid exch def
+ {
+ GlyphDirectory cid 2 copy known
+ {get}
+ {pop pop nullstring}
+ ifelse
+ dup length FDBytes sub 0 gt
+ {
+ dup
+ FDBytes 0 ne
+ {0 FDBytes ct_cvnsi}
+ {pop 0}
+ ifelse
+ /fdIndex exch def
+ dup length FDBytes sub FDBytes exch getinterval
+ /charstring exch def
+ exit
+ }
+ {
+ pop
+ cid 0 eq
+ {/charstring nullstring def exit}
+ if
+ /cid 0 def
+ }
+ ifelse
+ }
+ loop
+ }def
+ /ct_SetCacheDevice
+ {
+ 0 0 moveto
+ dup stringwidth
+ 3 -1 roll
+ true charpath
+ pathbbox
+ 0 -1000
+ 7 index 2 div 880
+ setcachedevice2
+ 0 0 moveto
+ }def
+ /ct_CloneSetCacheProc
+ {
+ 1 eq
+ {
+ stringwidth
+ pop -2 div -880
+ 0 -1000 setcharwidth
+ moveto
+ }
+ {
+ usewidths?
+ {
+ currentfont/Widths get cid
+ 2 copy known
+ {get exch pop aload pop}
+ {pop pop stringwidth}
+ ifelse
+ }
+ {stringwidth}
+ ifelse
+ setcharwidth
+ 0 0 moveto
+ }
+ ifelse
+ }def
+ /ct_Type3ShowCharString
+ {
+ ct_FDDict fdIndex 2 copy known
+ {get}
+ {
+ currentglobal 3 1 roll
+ 1 index gcheck setglobal
+ ct_Type1FontTemplate dup maxlength dict copy
+ begin
+ FDArray fdIndex get
+ dup/FontMatrix 2 copy known
+ {get}
+ {pop pop ct_defaultFontMtx}
+ ifelse
+ /FontMatrix exch dup length array copy def
+ /Private get
+ /Private exch def
+ /Widths rootfont/Widths get def
+ /CharStrings 1 dict dup/.notdef
+ <d841272cf18f54fc13>dup length string copy put def
+ currentdict
+ end
+ /ct_Type1Font exch definefont
+ dup 5 1 roll put
+ setglobal
+ }
+ ifelse
+ dup/CharStrings get 1 index/Encoding get
+ ct_dfCharCode get charstring put
+ rootfont/WMode 2 copy known
+ {get}
+ {pop pop 0}
+ ifelse
+ exch
+ 1000 scalefont setfont
+ ct_str1 0 ct_dfCharCode put
+ ct_str1 exch ct_dfSetCacheProc
+ ct_SyntheticBold
+ {
+ currentpoint
+ ct_str1 show
+ newpath
+ moveto
+ ct_str1 true charpath
+ ct_StrokeWidth setlinewidth
+ stroke
+ }
+ {ct_str1 show}
+ ifelse
+ }def
+ /ct_Type4ShowCharString
+ {
+ ct_dfDict ct_dfCharCode charstring
+ FDArray fdIndex get
+ dup/FontMatrix get dup ct_defaultFontMtx ct_matrixeq not
+ {ct_1000Mtx matrix concatmatrix concat}
+ {pop}
+ ifelse
+ /Private get
+ Adobe_CoolType_Utility/ct_Level2? get not
+ {
+ ct_dfDict/Private
+ 3 -1 roll
+ {put}
+ 1183615869 internaldict/superexec get exec
+ }
+ if
+ 1183615869 internaldict
+ Adobe_CoolType_Utility/ct_Level2? get
+ {1 index}
+ {3 index/Private get mark 6 1 roll}
+ ifelse
+ dup/RunInt known
+ {/RunInt get}
+ {pop/CCRun}
+ ifelse
+ get exec
+ Adobe_CoolType_Utility/ct_Level2? get not
+ {cleartomark}
+ if
+ }bind def
+ /ct_BuildCharIncremental
+ {
+ {
+ Adobe_CoolType_Utility/ct_MakeOCF get begin
+ ct_BuildCharSetUp
+ ct_ShowCharString
+ }
+ stopped
+ {stop}
+ if
+ end
+ end
+ end
+ end
+ }bind def
+ /BaseFontNameStr(BF00)def
+ /ct_Type1FontTemplate 14 dict
+ begin
+ /FontType 1 def
+ /FontMatrix [0.001 0 0 0.001 0 0]def
+ /FontBBox [-250 -250 1250 1250]def
+ /Encoding ct_cHexEncoding def
+ /PaintType 0 def
+ currentdict
+ end def
+ /BaseFontTemplate 11 dict
+ begin
+ /FontMatrix [0.001 0 0 0.001 0 0]def
+ /FontBBox [-250 -250 1250 1250]def
+ /Encoding ct_cHexEncoding def
+ /BuildChar/ct_BuildCharIncremental load def
+ ct_Clone?
+ {
+ /FontType 3 def
+ /ct_ShowCharString/ct_Type3ShowCharString load def
+ /ct_dfSetCacheProc/ct_CloneSetCacheProc load def
+ /ct_SyntheticBold false def
+ /ct_StrokeWidth 1 def
+ }
+ {
+ /FontType 4 def
+ /Private 1 dict dup/lenIV 4 put def
+ /CharStrings 1 dict dup/.notdef<d841272cf18f54fc13>put def
+ /PaintType 0 def
+ /ct_ShowCharString/ct_Type4ShowCharString load def
+ }
+ ifelse
+ /ct_str1 1 string def
+ currentdict
+ end def
+ /BaseFontDictSize BaseFontTemplate length 5 add def
+ /ct_matrixeq
+ {
+ true 0 1 5
+ {
+ dup 4 index exch get exch 3 index exch get eq and
+ dup not
+ {exit}
+ if
+ }
+ for
+ exch pop exch pop
+ }bind def
+ /ct_makeocf
+ {
+ 15 dict
+ begin
+ exch/WMode exch def
+ exch/FontName exch def
+ /FontType 0 def
+ /FMapType 2 def
+ dup/FontMatrix known
+ {dup/FontMatrix get/FontMatrix exch def}
+ {/FontMatrix matrix def}
+ ifelse
+ /bfCount 1 index/CIDCount get 256 idiv 1 add
+ dup 256 gt{pop 256}if def
+ /Encoding
+ 256 array 0 1 bfCount 1 sub{2 copy dup put pop}for
+ bfCount 1 255{2 copy bfCount put pop}for
+ def
+ /FDepVector bfCount dup 256 lt{1 add}if array def
+ BaseFontTemplate BaseFontDictSize dict copy
+ begin
+ /CIDFont exch def
+ CIDFont/FontBBox known
+ {CIDFont/FontBBox get/FontBBox exch def}
+ if
+ CIDFont/CDevProc known
+ {CIDFont/CDevProc get/CDevProc exch def}
+ if
+ currentdict
+ end
+ BaseFontNameStr 3(0)putinterval
+ 0 1 bfCount dup 256 eq{1 sub}if
+ {
+ FDepVector exch
+ 2 index BaseFontDictSize dict copy
+ begin
+ dup/CIDFirstByte exch 256 mul def
+ FontType 3 eq
+ {/ct_FDDict 2 dict def}
+ if
+ currentdict
+ end
+ 1 index 16
+ BaseFontNameStr 2 2 getinterval cvrs pop
+ BaseFontNameStr exch definefont
+ put
+ }
+ for
+ ct_Clone?
+ {/Widths 1 index/CIDFont get/GlyphDirectory get length dict def}
+ if
+ FontName
+ currentdict
+ end
+ definefont
+ ct_Clone?
+ {
+ gsave
+ dup 1000 scalefont setfont
+ ct_BuildCharDict
+ begin
+ /usewidths? false def
+ currentfont/Widths get
+ begin
+ exch/CIDFont get/GlyphDirectory get
+ {
+ pop
+ dup charcode exch 1 index 0 2 index 256 idiv put
+ 1 index exch 1 exch 256 mod put
+ stringwidth 2 array astore def
+ }
+ forall
+ end
+ /usewidths? true def
+ end
+ grestore
+ }
+ {exch pop}
+ ifelse
+ }bind def
+ currentglobal true setglobal
+ /ct_ComposeFont
+ {
+ ct_UseNativeCapability?
+ {
+ 2 index/CMap ct_resourcestatus
+ {pop pop exch pop}
+ {
+ /CIDInit/ProcSet findresource
+ begin
+ 12 dict
+ begin
+ begincmap
+ /CMapName 3 index def
+ /CMapVersion 1.000 def
+ /CMapType 1 def
+ exch/WMode exch def
+ /CIDSystemInfo 3 dict dup
+ begin
+ /Registry(Adobe)def
+ /Ordering
+ CMapName ct_mkocfStr100 cvs
+ (Adobe-)search
+ {
+ pop pop
+ (-)search
+ {
+ dup length string copy
+ exch pop exch pop
+ }
+ {pop(Identity)}
+ ifelse
+ }
+ {pop (Identity)}
+ ifelse
+ def
+ /Supplement 0 def
+ end def
+ 1 begincodespacerange
+ <0000><FFFF>
+ endcodespacerange
+ 1 begincidrange
+ <0000><FFFF>0
+ endcidrange
+ endcmap
+ CMapName currentdict/CMap defineresource pop
+ end
+ end
+ }
+ ifelse
+ composefont
+ }
+ {
+ 3 2 roll pop
+ 0 get/CIDFont findresource
+ ct_makeocf
+ }
+ ifelse
+ }bind def
+ setglobal
+ /ct_MakeIdentity
+ {
+ ct_UseNativeCapability?
+ {
+ 1 index/CMap ct_resourcestatus
+ {pop pop}
+ {
+ /CIDInit/ProcSet findresource begin
+ 12 dict begin
+ begincmap
+ /CMapName 2 index def
+ /CMapVersion 1.000 def
+ /CMapType 1 def
+ /CIDSystemInfo 3 dict dup
+ begin
+ /Registry(Adobe)def
+ /Ordering
+ CMapName ct_mkocfStr100 cvs
+ (Adobe-)search
+ {
+ pop pop
+ (-)search
+ {dup length string copy exch pop exch pop}
+ {pop(Identity)}
+ ifelse
+ }
+ {pop(Identity)}
+ ifelse
+ def
+ /Supplement 0 def
+ end def
+ 1 begincodespacerange
+ <0000><FFFF>
+ endcodespacerange
+ 1 begincidrange
+ <0000><FFFF>0
+ endcidrange
+ endcmap
+ CMapName currentdict/CMap defineresource pop
+ end
+ end
+ }
+ ifelse
+ composefont
+ }
+ {
+ exch pop
+ 0 get/CIDFont findresource
+ ct_makeocf
+ }
+ ifelse
+ }bind def
+ currentdict readonly pop
+ end
+ end
+%%EndResource
+setglobal
+%%BeginResource: procset Adobe_CoolType_Utility_T42 1.0 0
+%%Copyright: Copyright 1987-2004 Adobe Systems Incorporated.
+%%Version: 1.0 0
+userdict/ct_T42Dict 15 dict put
+ct_T42Dict begin
+/Is2015?
+{
+ version
+ cvi
+ 2015
+ ge
+}bind def
+/AllocGlyphStorage
+{
+ Is2015?
+ {
+ pop
+ }
+ {
+ {string}forall
+ }ifelse
+}bind def
+/Type42DictBegin
+{
+25 dict begin
+ /FontName exch def
+ /CharStrings 256 dict
+begin
+ /.notdef 0 def
+ currentdict
+end def
+ /Encoding exch def
+ /PaintType 0 def
+ /FontType 42 def
+ /FontMatrix[1 0 0 1 0 0]def
+ 4 array astore cvx/FontBBox exch def
+ /sfnts
+}bind def
+/Type42DictEnd
+{
+ currentdict dup/FontName get exch definefont end
+ct_T42Dict exch
+dup/FontName get exch put
+}bind def
+/RD{string currentfile exch readstring pop}executeonly def
+/PrepFor2015
+{
+Is2015?
+{
+ /GlyphDirectory
+ 16
+ dict def
+ sfnts 0 get
+ dup
+ 2 index
+ (glyx)
+ putinterval
+ 2 index
+ (locx)
+ putinterval
+ pop
+ pop
+}
+{
+ pop
+ pop
+}ifelse
+}bind def
+/AddT42Char
+{
+Is2015?
+{
+ /GlyphDirectory get
+ begin
+ def
+ end
+ pop
+ pop
+}
+{
+ /sfnts get
+ 4 index
+ get
+ 3 index
+ 2 index
+ putinterval
+ pop
+ pop
+ pop
+ pop
+}ifelse
+}bind def
+/T0AddT42Mtx2
+{
+/CIDFont findresource/Metrics2 get begin def end
+}bind def
+end
+%%EndResource
+currentglobal true setglobal
+%%BeginFile: MMFauxFont.prc
+%%Copyright: Copyright 1987-2001 Adobe Systems Incorporated.
+%%All Rights Reserved.
+userdict /ct_EuroDict 10 dict put
+ct_EuroDict begin
+/ct_CopyFont
+{
+ { 1 index /FID ne {def} {pop pop} ifelse} forall
+} def
+/ct_GetGlyphOutline
+{
+ gsave
+ initmatrix newpath
+ exch findfont dup
+ length 1 add dict
+ begin
+ ct_CopyFont
+ /Encoding Encoding dup length array copy
+ dup
+ 4 -1 roll
+ 0 exch put
+ def
+ currentdict
+ end
+ /ct_EuroFont exch definefont
+ 1000 scalefont setfont
+ 0 0 moveto
+ [
+ <00> stringwidth
+ <00> false charpath
+ pathbbox
+ [
+ {/m cvx} {/l cvx} {/c cvx} {/cp cvx} pathforall
+ grestore
+ counttomark 8 add
+}
+def
+/ct_MakeGlyphProc
+{
+ ] cvx
+ /ct_PSBuildGlyph cvx
+ ] cvx
+} def
+/ct_PSBuildGlyph
+{
+ gsave
+ 8 -1 roll pop
+ 7 1 roll
+ 6 -2 roll ct_FontMatrix transform 6 2 roll
+ 4 -2 roll ct_FontMatrix transform 4 2 roll
+ ct_FontMatrix transform
+ currentdict /PaintType 2 copy known {get 2 eq}{pop pop false} ifelse
+ dup 9 1 roll
+ {
+ currentdict /StrokeWidth 2 copy known
+ {
+ get 2 div
+ 0 ct_FontMatrix dtransform pop
+ 5 1 roll
+ 4 -1 roll 4 index sub
+ 4 1 roll
+ 3 -1 roll 4 index sub
+ 3 1 roll
+ exch 4 index add exch
+ 4 index add
+ 5 -1 roll pop
+ }
+ {
+ pop pop
+ }
+ ifelse
+ }
+ if
+ setcachedevice
+ ct_FontMatrix concat
+ ct_PSPathOps begin
+ exec
+ end
+ {
+ currentdict /StrokeWidth 2 copy known
+ { get }
+ { pop pop 0 }
+ ifelse
+ setlinewidth stroke
+ }
+ {
+ fill
+ }
+ ifelse
+ grestore
+} def
+/ct_PSPathOps 4 dict dup begin
+ /m {moveto} def
+ /l {lineto} def
+ /c {curveto} def
+ /cp {closepath} def
+end
+def
+/ct_matrix1000 [1000 0 0 1000 0 0] def
+/ct_AddGlyphProc
+{
+ 2 index findfont dup length 4 add dict
+ begin
+ ct_CopyFont
+ /CharStrings CharStrings dup length 1 add dict copy
+ begin
+ 3 1 roll def
+ currentdict
+ end
+ def
+ /ct_FontMatrix ct_matrix1000 FontMatrix matrix concatmatrix def
+ /ct_PSBuildGlyph /ct_PSBuildGlyph load def
+ /ct_PSPathOps /ct_PSPathOps load def
+ currentdict
+ end
+ definefont pop
+}
+def
+systemdict /languagelevel known
+{
+ /ct_AddGlyphToPrinterFont {
+ 2 copy
+ ct_GetGlyphOutline 3 add -1 roll restore
+ ct_MakeGlyphProc
+ ct_AddGlyphProc
+ } def
+}
+{
+ /ct_AddGlyphToPrinterFont {
+ pop pop restore
+ Adobe_CTFauxDict /$$$FONTNAME get
+ /Euro
+ Adobe_CTFauxDict /$$$SUBSTITUTEBASE get
+ ct_EuroDict exch get
+ ct_AddGlyphProc
+ } def
+} ifelse
+/AdobeSansMM
+{
+556 0 24 -19 541 703
+ {
+ 541 628 m
+ 510 669 442 703 354 703 c
+ 201 703 117 607 101 444 c
+ 50 444 l
+ 25 372 l
+ 97 372 l
+ 97 301 l
+ 49 301 l
+ 24 229 l
+ 103 229 l
+ 124 67 209 -19 350 -19 c
+ 435 -19 501 25 509 32 c
+ 509 131 l
+ 492 105 417 60 343 60 c
+ 267 60 204 127 197 229 c
+ 406 229 l
+ 430 301 l
+ 191 301 l
+ 191 372 l
+ 455 372 l
+ 479 444 l
+ 194 444 l
+ 201 531 245 624 348 624 c
+ 433 624 484 583 509 534 c
+ cp
+ 556 0 m
+ }
+ct_PSBuildGlyph
+} def
+/AdobeSerifMM
+{
+500 0 10 -12 484 692
+ {
+ 347 298 m
+ 171 298 l
+ 170 310 170 322 170 335 c
+ 170 362 l
+ 362 362 l
+ 374 403 l
+ 172 403 l
+ 184 580 244 642 308 642 c
+ 380 642 434 574 457 457 c
+ 481 462 l
+ 474 691 l
+ 449 691 l
+ 433 670 429 657 410 657 c
+ 394 657 360 692 299 692 c
+ 204 692 94 604 73 403 c
+ 22 403 l
+ 10 362 l
+ 70 362 l
+ 69 352 69 341 69 330 c
+ 69 319 69 308 70 298 c
+ 22 298 l
+ 10 257 l
+ 73 257 l
+ 97 57 216 -12 295 -12 c
+ 364 -12 427 25 484 123 c
+ 458 142 l
+ 425 101 384 37 316 37 c
+ 256 37 189 84 173 257 c
+ 335 257 l
+ cp
+ 500 0 m
+ }
+ct_PSBuildGlyph
+} def
+end
+%%EndFile
+setglobal
+Adobe_CoolType_Core begin /$None SetSubstituteStrategy end
+%%BeginResource: procset Adobe_AGM_Image 1.0 0
+%%Version: 1.0 0
+%%Copyright: Copyright(C)2000-2006 Adobe Systems, Inc. All Rights Reserved.
+systemdict/setpacking known
+{
+ currentpacking
+ true setpacking
+}if
+userdict/Adobe_AGM_Image 71 dict dup begin put
+/Adobe_AGM_Image_Id/Adobe_AGM_Image_1.0_0 def
+/nd{
+ null def
+}bind def
+/AGMIMG_&image nd
+/AGMIMG_&colorimage nd
+/AGMIMG_&imagemask nd
+/AGMIMG_mbuf()def
+/AGMIMG_ybuf()def
+/AGMIMG_kbuf()def
+/AGMIMG_c 0 def
+/AGMIMG_m 0 def
+/AGMIMG_y 0 def
+/AGMIMG_k 0 def
+/AGMIMG_tmp nd
+/AGMIMG_imagestring0 nd
+/AGMIMG_imagestring1 nd
+/AGMIMG_imagestring2 nd
+/AGMIMG_imagestring3 nd
+/AGMIMG_imagestring4 nd
+/AGMIMG_imagestring5 nd
+/AGMIMG_cnt nd
+/AGMIMG_fsave nd
+/AGMIMG_colorAry nd
+/AGMIMG_override nd
+/AGMIMG_name nd
+/AGMIMG_maskSource nd
+/AGMIMG_flushfilters nd
+/invert_image_samples nd
+/knockout_image_samples nd
+/img nd
+/sepimg nd
+/devnimg nd
+/idximg nd
+/ds
+{
+ Adobe_AGM_Core begin
+ Adobe_AGM_Image begin
+ /AGMIMG_&image systemdict/image get def
+ /AGMIMG_&imagemask systemdict/imagemask get def
+ /colorimage where{
+ pop
+ /AGMIMG_&colorimage/colorimage ldf
+ }if
+ end
+ end
+}def
+/ps
+{
+ Adobe_AGM_Image begin
+ /AGMIMG_ccimage_exists{/customcolorimage where
+ {
+ pop
+ /Adobe_AGM_OnHost_Seps where
+ {
+ pop false
+ }{
+ /Adobe_AGM_InRip_Seps where
+ {
+ pop false
+ }{
+ true
+ }ifelse
+ }ifelse
+ }{
+ false
+ }ifelse
+ }bdf
+ level2{
+ /invert_image_samples
+ {
+ Adobe_AGM_Image/AGMIMG_tmp Decode length ddf
+ /Decode[Decode 1 get Decode 0 get]def
+ }def
+ /knockout_image_samples
+ {
+ Operator/imagemask ne{
+ /Decode[1 1]def
+ }if
+ }def
+ }{
+ /invert_image_samples
+ {
+ {1 exch sub}currenttransfer addprocs settransfer
+ }def
+ /knockout_image_samples
+ {
+ {pop 1}currenttransfer addprocs settransfer
+ }def
+ }ifelse
+ /img/imageormask ldf
+ /sepimg/sep_imageormask ldf
+ /devnimg/devn_imageormask ldf
+ /idximg/indexed_imageormask ldf
+ /_ctype 7 def
+ currentdict{
+ dup xcheck 1 index type dup/arraytype eq exch/packedarraytype eq or and{
+ bind
+ }if
+ def
+ }forall
+}def
+/pt
+{
+ end
+}def
+/dt
+{
+}def
+/AGMIMG_flushfilters
+{
+ dup type/arraytype ne
+ {1 array astore}if
+ dup 0 get currentfile ne
+ {dup 0 get flushfile}if
+ {
+ dup type/filetype eq
+ {
+ dup status 1 index currentfile ne and
+ {closefile}
+ {pop}
+ ifelse
+ }{pop}ifelse
+ }forall
+}def
+/AGMIMG_init_common
+{
+ currentdict/T known{/ImageType/T ldf currentdict/T undef}if
+ currentdict/W known{/Width/W ldf currentdict/W undef}if
+ currentdict/H known{/Height/H ldf currentdict/H undef}if
+ currentdict/M known{/ImageMatrix/M ldf currentdict/M undef}if
+ currentdict/BC known{/BitsPerComponent/BC ldf currentdict/BC undef}if
+ currentdict/D known{/Decode/D ldf currentdict/D undef}if
+ currentdict/DS known{/DataSource/DS ldf currentdict/DS undef}if
+ currentdict/O known{
+ /Operator/O load 1 eq{
+ /imagemask
+ }{
+ /O load 2 eq{
+ /image
+ }{
+ /colorimage
+ }ifelse
+ }ifelse
+ def
+ currentdict/O undef
+ }if
+ currentdict/HSCI known{/HostSepColorImage/HSCI ldf currentdict/HSCI undef}if
+ currentdict/MD known{/MultipleDataSources/MD ldf currentdict/MD undef}if
+ currentdict/I known{/Interpolate/I ldf currentdict/I undef}if
+ currentdict/SI known{/SkipImageProc/SI ldf currentdict/SI undef}if
+ /DataSource load xcheck not{
+ DataSource type/arraytype eq{
+ DataSource 0 get type/filetype eq{
+ /_Filters DataSource def
+ currentdict/MultipleDataSources known not{
+ /DataSource DataSource dup length 1 sub get def
+ }if
+ }if
+ }if
+ currentdict/MultipleDataSources known not{
+ /MultipleDataSources DataSource type/arraytype eq{
+ DataSource length 1 gt
+ }
+ {false}ifelse def
+ }if
+ }if
+ /NComponents Decode length 2 div def
+ currentdict/SkipImageProc known not{/SkipImageProc{false}def}if
+}bdf
+/imageormask_sys
+{
+ begin
+ AGMIMG_init_common
+ save mark
+ level2{
+ currentdict
+ Operator/imagemask eq{
+ AGMIMG_&imagemask
+ }{
+ use_mask{
+ process_mask AGMIMG_&image
+ }{
+ AGMIMG_&image
+ }ifelse
+ }ifelse
+ }{
+ Width Height
+ Operator/imagemask eq{
+ Decode 0 get 1 eq Decode 1 get 0 eq and
+ ImageMatrix/DataSource load
+ AGMIMG_&imagemask
+ }{
+ BitsPerComponent ImageMatrix/DataSource load
+ AGMIMG_&image
+ }ifelse
+ }ifelse
+ currentdict/_Filters known{_Filters AGMIMG_flushfilters}if
+ cleartomark restore
+ end
+}def
+/overprint_plate
+{
+ currentoverprint{
+ 0 get dup type/nametype eq{
+ dup/DeviceGray eq{
+ pop AGMCORE_black_plate not
+ }{
+ /DeviceCMYK eq{
+ AGMCORE_is_cmyk_sep not
+ }if
+ }ifelse
+ }{
+ false exch
+ {
+ AGMOHS_sepink eq or
+ }forall
+ not
+ }ifelse
+ }{
+ pop false
+ }ifelse
+}def
+/process_mask
+{
+ level3{
+ dup begin
+ /ImageType 1 def
+ end
+ 4 dict begin
+ /DataDict exch def
+ /ImageType 3 def
+ /InterleaveType 3 def
+ /MaskDict 9 dict begin
+ /ImageType 1 def
+ /Width DataDict dup/MaskWidth known{/MaskWidth}{/Width}ifelse get def
+ /Height DataDict dup/MaskHeight known{/MaskHeight}{/Height}ifelse get def
+ /ImageMatrix[Width 0 0 Height neg 0 Height]def
+ /NComponents 1 def
+ /BitsPerComponent 1 def
+ /Decode DataDict dup/MaskD known{/MaskD}{[1 0]}ifelse get def
+ /DataSource Adobe_AGM_Core/AGMIMG_maskSource get def
+ currentdict end def
+ currentdict end
+ }if
+}def
+/use_mask
+{
+ dup/Mask known {dup/Mask get}{false}ifelse
+}def
+/imageormask
+{
+ begin
+ AGMIMG_init_common
+ SkipImageProc{
+ currentdict consumeimagedata
+ }
+ {
+ save mark
+ level2 AGMCORE_host_sep not and{
+ currentdict
+ Operator/imagemask eq DeviceN_PS2 not and{
+ imagemask
+ }{
+ AGMCORE_in_rip_sep currentoverprint and currentcolorspace 0 get/DeviceGray eq and{
+ [/Separation/Black/DeviceGray{}]setcolorspace
+ /Decode[Decode 1 get Decode 0 get]def
+ }if
+ use_mask{
+ process_mask image
+ }{
+ DeviceN_NoneName DeviceN_PS2 Indexed_DeviceN level3 not and or or AGMCORE_in_rip_sep and
+ {
+ Names convert_to_process not{
+ 2 dict begin
+ /imageDict xdf
+ /names_index 0 def
+ gsave
+ imageDict write_image_file{
+ Names{
+ dup(None)ne{
+ [/Separation 3 -1 roll/DeviceGray{1 exch sub}]setcolorspace
+ Operator imageDict read_image_file
+ names_index 0 eq{true setoverprint}if
+ /names_index names_index 1 add def
+ }{
+ pop
+ }ifelse
+ }forall
+ close_image_file
+ }if
+ grestore
+ end
+ }{
+ Operator/imagemask eq{
+ imagemask
+ }{
+ image
+ }ifelse
+ }ifelse
+ }{
+ Operator/imagemask eq{
+ imagemask
+ }{
+ image
+ }ifelse
+ }ifelse
+ }ifelse
+ }ifelse
+ }{
+ Width Height
+ Operator/imagemask eq{
+ Decode 0 get 1 eq Decode 1 get 0 eq and
+ ImageMatrix/DataSource load
+ /Adobe_AGM_OnHost_Seps where{
+ pop imagemask
+ }{
+ currentgray 1 ne{
+ currentdict imageormask_sys
+ }{
+ currentoverprint not{
+ 1 AGMCORE_&setgray
+ currentdict imageormask_sys
+ }{
+ currentdict ignoreimagedata
+ }ifelse
+ }ifelse
+ }ifelse
+ }{
+ BitsPerComponent ImageMatrix
+ MultipleDataSources{
+ 0 1 NComponents 1 sub{
+ DataSource exch get
+ }for
+ }{
+ /DataSource load
+ }ifelse
+ Operator/colorimage eq{
+ AGMCORE_host_sep{
+ MultipleDataSources level2 or NComponents 4 eq and{
+ AGMCORE_is_cmyk_sep{
+ MultipleDataSources{
+ /DataSource DataSource 0 get xcheck
+ {
+ [
+ DataSource 0 get/exec cvx
+ DataSource 1 get/exec cvx
+ DataSource 2 get/exec cvx
+ DataSource 3 get/exec cvx
+ /AGMCORE_get_ink_data cvx
+ ]cvx
+ }{
+ DataSource aload pop AGMCORE_get_ink_data
+ }ifelse def
+ }{
+ /DataSource
+ Width BitsPerComponent mul 7 add 8 idiv Height mul 4 mul
+ /DataSource load
+ filter_cmyk 0()/SubFileDecode filter def
+ }ifelse
+ /Decode[Decode 0 get Decode 1 get]def
+ /MultipleDataSources false def
+ /NComponents 1 def
+ /Operator/image def
+ invert_image_samples
+ 1 AGMCORE_&setgray
+ currentdict imageormask_sys
+ }{
+ currentoverprint not Operator/imagemask eq and{
+ 1 AGMCORE_&setgray
+ currentdict imageormask_sys
+ }{
+ currentdict ignoreimagedata
+ }ifelse
+ }ifelse
+ }{
+ MultipleDataSources NComponents AGMIMG_&colorimage
+ }ifelse
+ }{
+ true NComponents colorimage
+ }ifelse
+ }{
+ Operator/image eq{
+ AGMCORE_host_sep{
+ /DoImage true def
+ currentdict/HostSepColorImage known{HostSepColorImage not}{false}ifelse
+ {
+ AGMCORE_black_plate not Operator/imagemask ne and{
+ /DoImage false def
+ currentdict ignoreimagedata
+ }if
+ }if
+ 1 AGMCORE_&setgray
+ DoImage
+ {currentdict imageormask_sys}if
+ }{
+ use_mask{
+ process_mask image
+ }{
+ image
+ }ifelse
+ }ifelse
+ }{
+ Operator/knockout eq{
+ pop pop pop pop pop
+ currentcolorspace overprint_plate not{
+ knockout_unitsq
+ }if
+ }if
+ }ifelse
+ }ifelse
+ }ifelse
+ }ifelse
+ cleartomark restore
+ }ifelse
+ currentdict/_Filters known{_Filters AGMIMG_flushfilters}if
+ end
+}def
+/sep_imageormask
+{
+ /sep_colorspace_dict AGMCORE_gget begin
+ CSA map_csa
+ begin
+ AGMIMG_init_common
+ SkipImageProc{
+ currentdict consumeimagedata
+ }{
+ save mark
+ AGMCORE_avoid_L2_sep_space{
+ /Decode[Decode 0 get 255 mul Decode 1 get 255 mul]def
+ }if
+ AGMIMG_ccimage_exists
+ MappedCSA 0 get/DeviceCMYK eq and
+ currentdict/Components known and
+ Name()ne and
+ Name(All)ne and
+ Operator/image eq and
+ AGMCORE_producing_seps not and
+ level2 not and
+ {
+ Width Height BitsPerComponent ImageMatrix
+ [
+ /DataSource load/exec cvx
+ {
+ 0 1 2 index length 1 sub{
+ 1 index exch
+ 2 copy get 255 xor put
+ }for
+ }/exec cvx
+ ]cvx bind
+ MappedCSA 0 get/DeviceCMYK eq{
+ Components aload pop
+ }{
+ 0 0 0 Components aload pop 1 exch sub
+ }ifelse
+ Name findcmykcustomcolor
+ customcolorimage
+ }{
+ AGMCORE_producing_seps not{
+ level2{
+ //Adobe_AGM_Core/AGMCORE_pattern_paint_type get 2 ne AGMCORE_avoid_L2_sep_space not and currentcolorspace 0 get/Separation ne and{
+ [/Separation Name MappedCSA sep_proc_name exch dup 0 get 15 string cvs(/Device)anchorsearch{pop pop 0 get}{pop}ifelse exch load]setcolorspace_opt
+ /sep_tint AGMCORE_gget setcolor
+ }if
+ currentdict imageormask
+ }{
+ currentdict
+ Operator/imagemask eq{
+ imageormask
+ }{
+ sep_imageormask_lev1
+ }ifelse
+ }ifelse
+ }{
+ AGMCORE_host_sep{
+ Operator/knockout eq{
+ currentdict/ImageMatrix get concat
+ knockout_unitsq
+ }{
+ currentgray 1 ne{
+ AGMCORE_is_cmyk_sep Name(All)ne and{
+ level2{
+ Name AGMCORE_IsSeparationAProcessColor
+ {
+ Operator/imagemask eq{
+ //Adobe_AGM_Core/AGMCORE_pattern_paint_type get 2 ne{
+ /sep_tint AGMCORE_gget 1 exch sub AGMCORE_&setcolor
+ }if
+ }{
+ invert_image_samples
+ }ifelse
+ }{
+ //Adobe_AGM_Core/AGMCORE_pattern_paint_type get 2 ne{
+ [/Separation Name[/DeviceGray]
+ {
+ sep_colorspace_proc AGMCORE_get_ink_data
+ 1 exch sub
+ }bind
+ ]AGMCORE_&setcolorspace
+ /sep_tint AGMCORE_gget AGMCORE_&setcolor
+ }if
+ }ifelse
+ currentdict imageormask_sys
+ }{
+ currentdict
+ Operator/imagemask eq{
+ imageormask_sys
+ }{
+ sep_image_lev1_sep
+ }ifelse
+ }ifelse
+ }{
+ Operator/imagemask ne{
+ invert_image_samples
+ }if
+ currentdict imageormask_sys
+ }ifelse
+ }{
+ currentoverprint not Name(All)eq or Operator/imagemask eq and{
+ currentdict imageormask_sys
+ }{
+ currentoverprint not
+ {
+ gsave
+ knockout_unitsq
+ grestore
+ }if
+ currentdict consumeimagedata
+ }ifelse
+ }ifelse
+ }ifelse
+ }{
+ //Adobe_AGM_Core/AGMCORE_pattern_paint_type get 2 ne{
+ currentcolorspace 0 get/Separation ne{
+ [/Separation Name MappedCSA sep_proc_name exch 0 get exch load]setcolorspace_opt
+ /sep_tint AGMCORE_gget setcolor
+ }if
+ }if
+ currentoverprint
+ MappedCSA 0 get/DeviceCMYK eq and
+ Name AGMCORE_IsSeparationAProcessColor not and
+ //Adobe_AGM_Core/AGMCORE_pattern_paint_type get 2 ne{Name inRip_spot_has_ink not and}{false}ifelse
+ Name(All)ne and{
+ imageormask_l2_overprint
+ }{
+ currentdict imageormask
+ }ifelse
+ }ifelse
+ }ifelse
+ }ifelse
+ cleartomark restore
+ }ifelse
+ currentdict/_Filters known{_Filters AGMIMG_flushfilters}if
+ end
+ end
+}def
+/colorSpaceElemCnt
+{
+ mark currentcolor counttomark dup 2 add 1 roll cleartomark
+}bdf
+/devn_sep_datasource
+{
+ 1 dict begin
+ /dataSource xdf
+ [
+ 0 1 dataSource length 1 sub{
+ dup currentdict/dataSource get/exch cvx/get cvx/exec cvx
+ /exch cvx names_index/ne cvx[/pop cvx]cvx/if cvx
+ }for
+ ]cvx bind
+ end
+}bdf
+/devn_alt_datasource
+{
+ 11 dict begin
+ /convProc xdf
+ /origcolorSpaceElemCnt xdf
+ /origMultipleDataSources xdf
+ /origBitsPerComponent xdf
+ /origDecode xdf
+ /origDataSource xdf
+ /dsCnt origMultipleDataSources{origDataSource length}{1}ifelse def
+ /DataSource origMultipleDataSources
+ {
+ [
+ BitsPerComponent 8 idiv origDecode length 2 idiv mul string
+ 0 1 origDecode length 2 idiv 1 sub
+ {
+ dup 7 mul 1 add index exch dup BitsPerComponent 8 idiv mul exch
+ origDataSource exch get 0()/SubFileDecode filter
+ BitsPerComponent 8 idiv string/readstring cvx/pop cvx/putinterval cvx
+ }for
+ ]bind cvx
+ }{origDataSource}ifelse 0()/SubFileDecode filter def
+ [
+ origcolorSpaceElemCnt string
+ 0 2 origDecode length 2 sub
+ {
+ dup origDecode exch get dup 3 -1 roll 1 add origDecode exch get exch sub 2 BitsPerComponent exp 1 sub div
+ 1 BitsPerComponent 8 idiv{DataSource/read cvx/not cvx{0}/if cvx/mul cvx}repeat/mul cvx/add cvx
+ }for
+ /convProc load/exec cvx
+ origcolorSpaceElemCnt 1 sub -1 0
+ {
+ /dup cvx 2/add cvx/index cvx
+ 3 1/roll cvx/exch cvx 255/mul cvx/cvi cvx/put cvx
+ }for
+ ]bind cvx 0()/SubFileDecode filter
+ end
+}bdf
+/devn_imageormask
+{
+ /devicen_colorspace_dict AGMCORE_gget begin
+ CSA map_csa
+ 2 dict begin
+ dup
+ /srcDataStrs[3 -1 roll begin
+ AGMIMG_init_common
+ currentdict/MultipleDataSources known{MultipleDataSources{DataSource length}{1}ifelse}{1}ifelse
+ {
+ Width Decode length 2 div mul cvi
+ {
+ dup 65535 gt{1 add 2 div cvi}{exit}ifelse
+ }loop
+ string
+ }repeat
+ end]def
+ /dstDataStr srcDataStrs 0 get length string def
+ begin
+ AGMIMG_init_common
+ SkipImageProc{
+ currentdict consumeimagedata
+ }{
+ save mark
+ AGMCORE_producing_seps not{
+ level3 not{
+ Operator/imagemask ne{
+ /DataSource[[
+ DataSource Decode BitsPerComponent currentdict/MultipleDataSources known{MultipleDataSources}{false}ifelse
+ colorSpaceElemCnt/devicen_colorspace_dict AGMCORE_gget/TintTransform get
+ devn_alt_datasource 1/string cvx/readstring cvx/pop cvx]cvx colorSpaceElemCnt 1 sub{dup}repeat]def
+ /MultipleDataSources true def
+ /Decode colorSpaceElemCnt[exch{0 1}repeat]def
+ }if
+ }if
+ currentdict imageormask
+ }{
+ AGMCORE_host_sep{
+ Names convert_to_process{
+ CSA get_csa_by_name 0 get/DeviceCMYK eq{
+ /DataSource
+ Width BitsPerComponent mul 7 add 8 idiv Height mul 4 mul
+ DataSource Decode BitsPerComponent currentdict/MultipleDataSources known{MultipleDataSources}{false}ifelse
+ 4/devicen_colorspace_dict AGMCORE_gget/TintTransform get
+ devn_alt_datasource
+ filter_cmyk 0()/SubFileDecode filter def
+ /MultipleDataSources false def
+ /Decode[1 0]def
+ /DeviceGray setcolorspace
+ currentdict imageormask_sys
+ }{
+ AGMCORE_report_unsupported_color_space
+ AGMCORE_black_plate{
+ /DataSource
+ DataSource Decode BitsPerComponent currentdict/MultipleDataSources known{MultipleDataSources}{false}ifelse
+ CSA get_csa_by_name 0 get/DeviceRGB eq{3}{1}ifelse/devicen_colorspace_dict AGMCORE_gget/TintTransform get
+ devn_alt_datasource
+ /MultipleDataSources false def
+ /Decode colorSpaceElemCnt[exch{0 1}repeat]def
+ currentdict imageormask_sys
+ }{
+ gsave
+ knockout_unitsq
+ grestore
+ currentdict consumeimagedata
+ }ifelse
+ }ifelse
+ }
+ {
+ /devicen_colorspace_dict AGMCORE_gget/names_index known{
+ Operator/imagemask ne{
+ MultipleDataSources{
+ /DataSource[DataSource devn_sep_datasource/exec cvx]cvx def
+ /MultipleDataSources false def
+ }{
+ /DataSource/DataSource load dstDataStr srcDataStrs 0 get filter_devn def
+ }ifelse
+ invert_image_samples
+ }if
+ currentdict imageormask_sys
+ }{
+ currentoverprint not Operator/imagemask eq and{
+ currentdict imageormask_sys
+ }{
+ currentoverprint not
+ {
+ gsave
+ knockout_unitsq
+ grestore
+ }if
+ currentdict consumeimagedata
+ }ifelse
+ }ifelse
+ }ifelse
+ }{
+ currentdict imageormask
+ }ifelse
+ }ifelse
+ cleartomark restore
+ }ifelse
+ currentdict/_Filters known{_Filters AGMIMG_flushfilters}if
+ end
+ end
+ end
+}def
+/imageormask_l2_overprint
+{
+ currentdict
+ currentcmykcolor add add add 0 eq{
+ currentdict consumeimagedata
+ }{
+ level3{
+ currentcmykcolor
+ /AGMIMG_k xdf
+ /AGMIMG_y xdf
+ /AGMIMG_m xdf
+ /AGMIMG_c xdf
+ Operator/imagemask eq{
+ [/DeviceN[
+ AGMIMG_c 0 ne{/Cyan}if
+ AGMIMG_m 0 ne{/Magenta}if
+ AGMIMG_y 0 ne{/Yellow}if
+ AGMIMG_k 0 ne{/Black}if
+ ]/DeviceCMYK{}]setcolorspace
+ AGMIMG_c 0 ne{AGMIMG_c}if
+ AGMIMG_m 0 ne{AGMIMG_m}if
+ AGMIMG_y 0 ne{AGMIMG_y}if
+ AGMIMG_k 0 ne{AGMIMG_k}if
+ setcolor
+ }{
+ /Decode[Decode 0 get 255 mul Decode 1 get 255 mul]def
+ [/Indexed
+ [
+ /DeviceN[
+ AGMIMG_c 0 ne{/Cyan}if
+ AGMIMG_m 0 ne{/Magenta}if
+ AGMIMG_y 0 ne{/Yellow}if
+ AGMIMG_k 0 ne{/Black}if
+ ]
+ /DeviceCMYK{
+ AGMIMG_k 0 eq{0}if
+ AGMIMG_y 0 eq{0 exch}if
+ AGMIMG_m 0 eq{0 3 1 roll}if
+ AGMIMG_c 0 eq{0 4 1 roll}if
+ }
+ ]
+ 255
+ {
+ 255 div
+ mark exch
+ dup dup dup
+ AGMIMG_k 0 ne{
+ /sep_tint AGMCORE_gget mul MappedCSA sep_proc_name exch pop load exec 4 1 roll pop pop pop
+ counttomark 1 roll
+ }{
+ pop
+ }ifelse
+ AGMIMG_y 0 ne{
+ /sep_tint AGMCORE_gget mul MappedCSA sep_proc_name exch pop load exec 4 2 roll pop pop pop
+ counttomark 1 roll
+ }{
+ pop
+ }ifelse
+ AGMIMG_m 0 ne{
+ /sep_tint AGMCORE_gget mul MappedCSA sep_proc_name exch pop load exec 4 3 roll pop pop pop
+ counttomark 1 roll
+ }{
+ pop
+ }ifelse
+ AGMIMG_c 0 ne{
+ /sep_tint AGMCORE_gget mul MappedCSA sep_proc_name exch pop load exec pop pop pop
+ counttomark 1 roll
+ }{
+ pop
+ }ifelse
+ counttomark 1 add -1 roll pop
+ }
+ ]setcolorspace
+ }ifelse
+ imageormask_sys
+ }{
+ write_image_file{
+ currentcmykcolor
+ 0 ne{
+ [/Separation/Black/DeviceGray{}]setcolorspace
+ gsave
+ /Black
+ [{1 exch sub/sep_tint AGMCORE_gget mul}/exec cvx MappedCSA sep_proc_name cvx exch pop{4 1 roll pop pop pop 1 exch sub}/exec cvx]
+ cvx modify_halftone_xfer
+ Operator currentdict read_image_file
+ grestore
+ }if
+ 0 ne{
+ [/Separation/Yellow/DeviceGray{}]setcolorspace
+ gsave
+ /Yellow
+ [{1 exch sub/sep_tint AGMCORE_gget mul}/exec cvx MappedCSA sep_proc_name cvx exch pop{4 2 roll pop pop pop 1 exch sub}/exec cvx]
+ cvx modify_halftone_xfer
+ Operator currentdict read_image_file
+ grestore
+ }if
+ 0 ne{
+ [/Separation/Magenta/DeviceGray{}]setcolorspace
+ gsave
+ /Magenta
+ [{1 exch sub/sep_tint AGMCORE_gget mul}/exec cvx MappedCSA sep_proc_name cvx exch pop{4 3 roll pop pop pop 1 exch sub}/exec cvx]
+ cvx modify_halftone_xfer
+ Operator currentdict read_image_file
+ grestore
+ }if
+ 0 ne{
+ [/Separation/Cyan/DeviceGray{}]setcolorspace
+ gsave
+ /Cyan
+ [{1 exch sub/sep_tint AGMCORE_gget mul}/exec cvx MappedCSA sep_proc_name cvx exch pop{pop pop pop 1 exch sub}/exec cvx]
+ cvx modify_halftone_xfer
+ Operator currentdict read_image_file
+ grestore
+ }if
+ close_image_file
+ }{
+ imageormask
+ }ifelse
+ }ifelse
+ }ifelse
+}def
+/indexed_imageormask
+{
+ begin
+ AGMIMG_init_common
+ save mark
+ currentdict
+ AGMCORE_host_sep{
+ Operator/knockout eq{
+ /indexed_colorspace_dict AGMCORE_gget dup/CSA known{
+ /CSA get get_csa_by_name
+ }{
+ /Names get
+ }ifelse
+ overprint_plate not{
+ knockout_unitsq
+ }if
+ }{
+ Indexed_DeviceN{
+ /devicen_colorspace_dict AGMCORE_gget dup/names_index known exch/Names get convert_to_process or{
+ indexed_image_lev2_sep
+ }{
+ currentoverprint not{
+ knockout_unitsq
+ }if
+ currentdict consumeimagedata
+ }ifelse
+ }{
+ AGMCORE_is_cmyk_sep{
+ Operator/imagemask eq{
+ imageormask_sys
+ }{
+ level2{
+ indexed_image_lev2_sep
+ }{
+ indexed_image_lev1_sep
+ }ifelse
+ }ifelse
+ }{
+ currentoverprint not{
+ knockout_unitsq
+ }if
+ currentdict consumeimagedata
+ }ifelse
+ }ifelse
+ }ifelse
+ }{
+ level2{
+ Indexed_DeviceN{
+ /indexed_colorspace_dict AGMCORE_gget begin
+ }{
+ /indexed_colorspace_dict AGMCORE_gget dup null ne
+ {
+ begin
+ currentdict/CSDBase known{CSDBase/CSD get_res/MappedCSA get}{CSA}ifelse
+ get_csa_by_name 0 get/DeviceCMYK eq ps_level 3 ge and ps_version 3015.007 lt and
+ AGMCORE_in_rip_sep and{
+ [/Indexed[/DeviceN[/Cyan/Magenta/Yellow/Black]/DeviceCMYK{}]HiVal Lookup]
+ setcolorspace
+ }if
+ end
+ }
+ {pop}ifelse
+ }ifelse
+ imageormask
+ Indexed_DeviceN{
+ end
+ }if
+ }{
+ Operator/imagemask eq{
+ imageormask
+ }{
+ indexed_imageormask_lev1
+ }ifelse
+ }ifelse
+ }ifelse
+ cleartomark restore
+ currentdict/_Filters known{_Filters AGMIMG_flushfilters}if
+ end
+}def
+/indexed_image_lev2_sep
+{
+ /indexed_colorspace_dict AGMCORE_gget begin
+ begin
+ Indexed_DeviceN not{
+ currentcolorspace
+ dup 1/DeviceGray put
+ dup 3
+ currentcolorspace 2 get 1 add string
+ 0 1 2 3 AGMCORE_get_ink_data 4 currentcolorspace 3 get length 1 sub
+ {
+ dup 4 idiv exch currentcolorspace 3 get exch get 255 exch sub 2 index 3 1 roll put
+ }for
+ put setcolorspace
+ }if
+ currentdict
+ Operator/imagemask eq{
+ AGMIMG_&imagemask
+ }{
+ use_mask{
+ process_mask AGMIMG_&image
+ }{
+ AGMIMG_&image
+ }ifelse
+ }ifelse
+ end end
+}def
+ /OPIimage
+ {
+ dup type/dicttype ne{
+ 10 dict begin
+ /DataSource xdf
+ /ImageMatrix xdf
+ /BitsPerComponent xdf
+ /Height xdf
+ /Width xdf
+ /ImageType 1 def
+ /Decode[0 1 def]
+ currentdict
+ end
+ }if
+ dup begin
+ /NComponents 1 cdndf
+ /MultipleDataSources false cdndf
+ /SkipImageProc{false}cdndf
+ /Decode[
+ 0
+ currentcolorspace 0 get/Indexed eq{
+ 2 BitsPerComponent exp 1 sub
+ }{
+ 1
+ }ifelse
+ ]cdndf
+ /Operator/image cdndf
+ end
+ /sep_colorspace_dict AGMCORE_gget null eq{
+ imageormask
+ }{
+ gsave
+ dup begin invert_image_samples end
+ sep_imageormask
+ grestore
+ }ifelse
+ }def
+/cachemask_level2
+{
+ 3 dict begin
+ /LZWEncode filter/WriteFilter xdf
+ /readBuffer 256 string def
+ /ReadFilter
+ currentfile
+ 0(%EndMask)/SubFileDecode filter
+ /ASCII85Decode filter
+ /RunLengthDecode filter
+ def
+ {
+ ReadFilter readBuffer readstring exch
+ WriteFilter exch writestring
+ not{exit}if
+ }loop
+ WriteFilter closefile
+ end
+}def
+/spot_alias
+{
+ /mapto_sep_imageormask
+ {
+ dup type/dicttype ne{
+ 12 dict begin
+ /ImageType 1 def
+ /DataSource xdf
+ /ImageMatrix xdf
+ /BitsPerComponent xdf
+ /Height xdf
+ /Width xdf
+ /MultipleDataSources false def
+ }{
+ begin
+ }ifelse
+ /Decode[/customcolor_tint AGMCORE_gget 0]def
+ /Operator/image def
+ /SkipImageProc{false}def
+ currentdict
+ end
+ sep_imageormask
+ }bdf
+ /customcolorimage
+ {
+ Adobe_AGM_Image/AGMIMG_colorAry xddf
+ /customcolor_tint AGMCORE_gget
+ <<
+ /Name AGMIMG_colorAry 4 get
+ /CSA[/DeviceCMYK]
+ /TintMethod/Subtractive
+ /TintProc null
+ /MappedCSA null
+ /NComponents 4
+ /Components[AGMIMG_colorAry aload pop pop]
+ >>
+ setsepcolorspace
+ mapto_sep_imageormask
+ }ndf
+ Adobe_AGM_Image/AGMIMG_&customcolorimage/customcolorimage load put
+ /customcolorimage
+ {
+ Adobe_AGM_Image/AGMIMG_override false put
+ current_spot_alias{dup 4 get map_alias}{false}ifelse
+ {
+ false set_spot_alias
+ /customcolor_tint AGMCORE_gget exch setsepcolorspace
+ pop
+ mapto_sep_imageormask
+ true set_spot_alias
+ }{
+ //Adobe_AGM_Image/AGMIMG_&customcolorimage get exec
+ }ifelse
+ }bdf
+}def
+/snap_to_device
+{
+ 6 dict begin
+ matrix currentmatrix
+ dup 0 get 0 eq 1 index 3 get 0 eq and
+ 1 index 1 get 0 eq 2 index 2 get 0 eq and or exch pop
+ {
+ 1 1 dtransform 0 gt exch 0 gt/AGMIMG_xSign? exch def/AGMIMG_ySign? exch def
+ 0 0 transform
+ AGMIMG_ySign?{floor 0.1 sub}{ceiling 0.1 add}ifelse exch
+ AGMIMG_xSign?{floor 0.1 sub}{ceiling 0.1 add}ifelse exch
+ itransform/AGMIMG_llY exch def/AGMIMG_llX exch def
+ 1 1 transform
+ AGMIMG_ySign?{ceiling 0.1 add}{floor 0.1 sub}ifelse exch
+ AGMIMG_xSign?{ceiling 0.1 add}{floor 0.1 sub}ifelse exch
+ itransform/AGMIMG_urY exch def/AGMIMG_urX exch def
+ [AGMIMG_urX AGMIMG_llX sub 0 0 AGMIMG_urY AGMIMG_llY sub AGMIMG_llX AGMIMG_llY]concat
+ }{
+ }ifelse
+ end
+}def
+level2 not{
+ /colorbuf
+ {
+ 0 1 2 index length 1 sub{
+ dup 2 index exch get
+ 255 exch sub
+ 2 index
+ 3 1 roll
+ put
+ }for
+ }def
+ /tint_image_to_color
+ {
+ begin
+ Width Height BitsPerComponent ImageMatrix
+ /DataSource load
+ end
+ Adobe_AGM_Image begin
+ /AGMIMG_mbuf 0 string def
+ /AGMIMG_ybuf 0 string def
+ /AGMIMG_kbuf 0 string def
+ {
+ colorbuf dup length AGMIMG_mbuf length ne
+ {
+ dup length dup dup
+ /AGMIMG_mbuf exch string def
+ /AGMIMG_ybuf exch string def
+ /AGMIMG_kbuf exch string def
+ }if
+ dup AGMIMG_mbuf copy AGMIMG_ybuf copy AGMIMG_kbuf copy pop
+ }
+ addprocs
+ {AGMIMG_mbuf}{AGMIMG_ybuf}{AGMIMG_kbuf}true 4 colorimage
+ end
+ }def
+ /sep_imageormask_lev1
+ {
+ begin
+ MappedCSA 0 get dup/DeviceRGB eq exch/DeviceCMYK eq or has_color not and{
+ {
+ 255 mul round cvi GrayLookup exch get
+ }currenttransfer addprocs settransfer
+ currentdict imageormask
+ }{
+ /sep_colorspace_dict AGMCORE_gget/Components known{
+ MappedCSA 0 get/DeviceCMYK eq{
+ Components aload pop
+ }{
+ 0 0 0 Components aload pop 1 exch sub
+ }ifelse
+ Adobe_AGM_Image/AGMIMG_k xddf
+ Adobe_AGM_Image/AGMIMG_y xddf
+ Adobe_AGM_Image/AGMIMG_m xddf
+ Adobe_AGM_Image/AGMIMG_c xddf
+ AGMIMG_y 0.0 eq AGMIMG_m 0.0 eq and AGMIMG_c 0.0 eq and{
+ {AGMIMG_k mul 1 exch sub}currenttransfer addprocs settransfer
+ currentdict imageormask
+ }{
+ currentcolortransfer
+ {AGMIMG_k mul 1 exch sub}exch addprocs 4 1 roll
+ {AGMIMG_y mul 1 exch sub}exch addprocs 4 1 roll
+ {AGMIMG_m mul 1 exch sub}exch addprocs 4 1 roll
+ {AGMIMG_c mul 1 exch sub}exch addprocs 4 1 roll
+ setcolortransfer
+ currentdict tint_image_to_color
+ }ifelse
+ }{
+ MappedCSA 0 get/DeviceGray eq{
+ {255 mul round cvi ColorLookup exch get 0 get}currenttransfer addprocs settransfer
+ currentdict imageormask
+ }{
+ MappedCSA 0 get/DeviceCMYK eq{
+ currentcolortransfer
+ {255 mul round cvi ColorLookup exch get 3 get 1 exch sub}exch addprocs 4 1 roll
+ {255 mul round cvi ColorLookup exch get 2 get 1 exch sub}exch addprocs 4 1 roll
+ {255 mul round cvi ColorLookup exch get 1 get 1 exch sub}exch addprocs 4 1 roll
+ {255 mul round cvi ColorLookup exch get 0 get 1 exch sub}exch addprocs 4 1 roll
+ setcolortransfer
+ currentdict tint_image_to_color
+ }{
+ currentcolortransfer
+ {pop 1}exch addprocs 4 1 roll
+ {255 mul round cvi ColorLookup exch get 2 get}exch addprocs 4 1 roll
+ {255 mul round cvi ColorLookup exch get 1 get}exch addprocs 4 1 roll
+ {255 mul round cvi ColorLookup exch get 0 get}exch addprocs 4 1 roll
+ setcolortransfer
+ currentdict tint_image_to_color
+ }ifelse
+ }ifelse
+ }ifelse
+ }ifelse
+ end
+ }def
+ /sep_image_lev1_sep
+ {
+ begin
+ /sep_colorspace_dict AGMCORE_gget/Components known{
+ Components aload pop
+ Adobe_AGM_Image/AGMIMG_k xddf
+ Adobe_AGM_Image/AGMIMG_y xddf
+ Adobe_AGM_Image/AGMIMG_m xddf
+ Adobe_AGM_Image/AGMIMG_c xddf
+ {AGMIMG_c mul 1 exch sub}
+ {AGMIMG_m mul 1 exch sub}
+ {AGMIMG_y mul 1 exch sub}
+ {AGMIMG_k mul 1 exch sub}
+ }{
+ {255 mul round cvi ColorLookup exch get 0 get 1 exch sub}
+ {255 mul round cvi ColorLookup exch get 1 get 1 exch sub}
+ {255 mul round cvi ColorLookup exch get 2 get 1 exch sub}
+ {255 mul round cvi ColorLookup exch get 3 get 1 exch sub}
+ }ifelse
+ AGMCORE_get_ink_data currenttransfer addprocs settransfer
+ currentdict imageormask_sys
+ end
+ }def
+ /indexed_imageormask_lev1
+ {
+ /indexed_colorspace_dict AGMCORE_gget begin
+ begin
+ currentdict
+ MappedCSA 0 get dup/DeviceRGB eq exch/DeviceCMYK eq or has_color not and{
+ {HiVal mul round cvi GrayLookup exch get HiVal div}currenttransfer addprocs settransfer
+ imageormask
+ }{
+ MappedCSA 0 get/DeviceGray eq{
+ {HiVal mul round cvi Lookup exch get HiVal div}currenttransfer addprocs settransfer
+ imageormask
+ }{
+ MappedCSA 0 get/DeviceCMYK eq{
+ currentcolortransfer
+ {4 mul HiVal mul round cvi 3 add Lookup exch get HiVal div 1 exch sub}exch addprocs 4 1 roll
+ {4 mul HiVal mul round cvi 2 add Lookup exch get HiVal div 1 exch sub}exch addprocs 4 1 roll
+ {4 mul HiVal mul round cvi 1 add Lookup exch get HiVal div 1 exch sub}exch addprocs 4 1 roll
+ {4 mul HiVal mul round cvi Lookup exch get HiVal div 1 exch sub}exch addprocs 4 1 roll
+ setcolortransfer
+ tint_image_to_color
+ }{
+ currentcolortransfer
+ {pop 1}exch addprocs 4 1 roll
+ {3 mul HiVal mul round cvi 2 add Lookup exch get HiVal div}exch addprocs 4 1 roll
+ {3 mul HiVal mul round cvi 1 add Lookup exch get HiVal div}exch addprocs 4 1 roll
+ {3 mul HiVal mul round cvi Lookup exch get HiVal div}exch addprocs 4 1 roll
+ setcolortransfer
+ tint_image_to_color
+ }ifelse
+ }ifelse
+ }ifelse
+ end end
+ }def
+ /indexed_image_lev1_sep
+ {
+ /indexed_colorspace_dict AGMCORE_gget begin
+ begin
+ {4 mul HiVal mul round cvi Lookup exch get HiVal div 1 exch sub}
+ {4 mul HiVal mul round cvi 1 add Lookup exch get HiVal div 1 exch sub}
+ {4 mul HiVal mul round cvi 2 add Lookup exch get HiVal div 1 exch sub}
+ {4 mul HiVal mul round cvi 3 add Lookup exch get HiVal div 1 exch sub}
+ AGMCORE_get_ink_data currenttransfer addprocs settransfer
+ currentdict imageormask_sys
+ end end
+ }def
+}if
+end
+systemdict/setpacking known
+{setpacking}if
+%%EndResource
+currentdict Adobe_AGM_Utils eq {end} if
+%%EndProlog
+%%BeginSetup
+Adobe_AGM_Utils begin
+2 2010 Adobe_AGM_Core/ds gx
+Adobe_CoolType_Core/ds get exec
+Adobe_AGM_Image/ds gx
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+} def /color4 {1 0 0 setrgbcolor } def /range [ 0 360] def /action
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+ def end /solidnumf [] def /solidtrunc [] def /solidaffinage [] def
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+def /PHI {ZpointVue XpointVue dup mul YpointVue dup mul add sqrt atan}
+bind def /Dobs {XpointVue dup mul YpointVue dup mul add ZpointVue dup
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+def /PHI {ZpointVue XpointVue dup mul YpointVue dup mul add sqrt atan}
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+ED /YpointVue ED /XpointVue ED /THETA {YpointVue XpointVue atan} bind
+def /PHI {ZpointVue XpointVue dup mul YpointVue dup mul add sqrt atan}
+bind def /Dobs {XpointVue dup mul YpointVue dup mul add ZpointVue dup
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+ED /YpointVue ED /XpointVue ED /THETA {YpointVue XpointVue atan} bind
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+ED /YpointVue ED /XpointVue ED /THETA {YpointVue XpointVue atan} bind
+def /PHI {ZpointVue XpointVue dup mul YpointVue dup mul add sqrt atan}
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+(2nd)i(edition,)g(2007.)-128 2424 y
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+(Fonts,)g(Gr)l(aphics,)i(and)f(Mor)l(e)p FH(.)55 b(Oxford)26
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+(et)i(al.)49 b Fo(The)31 b(L)1886 2915 y Fa(A)1924 2932
+y Fo(T)1969 2950 y(E)2015 2932 y(X)f(Comp)l(anion)p FH(.)51
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diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/pst-solides3d-doc.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.tex
index 6b572e94084..f4d955a5eae 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/pst-solides3d-doc.tex
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.tex
@@ -24,7 +24,7 @@
% (default, deprecated, use: mpinclude=false)
]{scrbook}
-\usepackage[latin1]{inputenc}
+\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage{scrpage2}
@@ -162,7 +162,7 @@
%%%%%%%
%%%%%%% Highlight the table of the predefined solids
-\newcommand\toptableau{
+\newcommand\toptableau{%
\rowcolor{gray!20}
\textbf{Solid} & \begin{tabular}{c}
\textbf{Default}\\
@@ -198,7 +198,7 @@ Apricot&Aquamarine%
%%%%%%%
%%%%%%% Highlight some commands with backslashes (the three macros)
-\newcommand{\bs}[1]{%
+\newcommand\bs[1]{%
\psframebox[fillstyle=solid,fillcolor=gray!20,
linecolor=gray!20]{\texttt{\textbackslash#1}}}
@@ -246,16 +246,12 @@ Apricot&Aquamarine%
{\normalsize v. \PSTfileversion\ (\PSTfiledate)}\\[20pt]
\includegraphics[scale=0.6]{kepler}
}
-\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{With the additional help of:\newline
- J\"{u}rgen \textsc{Gilg} \url{<gilg@acrotex.net>},\newline
- Jean-Michel \textsc{Sarlat} \url{<jm.sarlat@gmail.com>},\newline
- Herbert \textsc{Voss} \url{<herbert.voss@fu-berlin.de>}.
-}}
+\author{Jean-Paul Vignault\thanks{\url{<jpv@melusine.eu.org>}}
+\and Manuel Luque\thanks{\url{<manuel.luque27@gmail.com>}}
+\and Arnaud Schmittbuhl\thanks{\url{<aschmittbuhl@libertysurf.fr>}}
+\and JĂĽrgen Gilg\thanks{\url{<gilg@acrotex.net>}}
+\and Jean-Michel Sarlat\thanks{\url{<jm.sarlat@gmail.com>}}
+\and Herbert VoĂź\thanks{\url{<herbert.voss@fu-berlin.de>}}}
\date{\today}
@@ -289,7 +285,7 @@ Apricot&Aquamarine%
%%%%%%% PDF Informations
\hypersetup{%
pdftitle={pst-solides3d - The Documentation}, % Text for the PDF title field
- pdfauthor={Jean-Paul Vignault, Manuel Luque, Arnaud Schmittbuhl}, % Text for the PDF author field
+ pdfauthor={Jean-Paul Vignault, Manuel Luque, Arnaud Schmittbuhl;}, % Text for the PDF author field
pdfcreator={LaTeX, hyperref, KOMA-Script}, % Text for the PDF creator field
%pdfproducer={pdfeTeX 1.10b-2.1} % Text for the PDF producer field
pdfstartview=FitH, % Fits the width of the page to the window.
@@ -431,6 +427,8 @@ Apricot&Aquamarine%
\Input{par-projectioncourbe-en}
\Input{par-projectiontexte-en}
+\Input{par-image2d-en}
+
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -447,7 +445,6 @@ Apricot&Aquamarine%
\Input{par-acknowledgements-en}
\Input{par-poems-en}
-
\printindex
\nocite{*}
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.toc b/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.toc
new file mode 100644
index 00000000000..62f014df8ba
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/pst-solides3d-doc.toc
@@ -0,0 +1,256 @@
+\contentsline {chapter}{\numberline {1}Basics for the package}{9}{chapter.1}
+\contentsline {section}{\numberline {1.1}Constitution of the package -- Distribution}{9}{section.1.1}
+\contentsline {section}{\numberline {1.2}Installation hints}{9}{section.1.2}
+\contentsline {section}{\numberline {1.3}Preface}{10}{section.1.3}
+\contentsline {section}{\numberline {1.4}Presentation}{10}{section.1.4}
+\contentsline {section}{\numberline {1.5}Changes by comparison with previous versions}{11}{section.1.5}
+\contentsline {subsection}{\numberline {1.5.1}Changes compared to version 3.0}{11}{subsection.1.5.1}
+\contentsline {subsection}{\numberline {1.5.2}Changes compared to version 2.0}{11}{subsection.1.5.2}
+\contentsline {chapter}{\numberline {2}Setting the layout of the scenery}{13}{chapter.2}
+\contentsline {section}{\numberline {2.1}Choice of the view point}{13}{section.2.1}
+\contentsline {section}{\numberline {2.2}The definition of the option \texttt {Decran}}{14}{section.2.2}
+\contentsline {section}{\numberline {2.3}Lighting by a point light source}{16}{section.2.3}
+\contentsline {section}{\numberline {2.4}The axes in 3d}{18}{section.2.4}
+\contentsline {chapter}{\numberline {3}Predefined solids and their positioning}{19}{chapter.3}
+\contentsline {section}{\numberline {3.1}The predefined solids and their parameters}{19}{section.3.1}
+\contentsline {section}{\numberline {3.2}Positioning a solid}{27}{section.3.2}
+\contentsline {subsection}{\numberline {3.2.1}Translation}{27}{subsection.3.2.1}
+\contentsline {subsection}{\numberline {3.2.2}Rotation}{28}{subsection.3.2.2}
+\contentsline {chapter}{\numberline {4}More options of \textbackslash {}psSolid}{29}{chapter.4}
+\contentsline {section}{\numberline {4.1}Commands for drawing}{29}{section.4.1}
+\contentsline {section}{\numberline {4.2}Emptying a solid}{30}{section.4.2}
+\contentsline {subsubsection}{Example 1: a cylinder and a hollow cylinder}{30}{subsubsection*.2}
+\contentsline {subsubsection}{Example 2: a prism and a hollow prism}{31}{subsubsection*.3}
+\contentsline {subsubsection}{Example 3: a spherical zone and a hollow spherical zone}{32}{subsubsection*.4}
+\contentsline {section}{\numberline {4.3}Numbering of the faces}{32}{section.4.3}
+\contentsline {section}{\numberline {4.4}Removing faces}{34}{section.4.4}
+\contentsline {section}{\numberline {4.5}Numbering of the vertices}{34}{section.4.5}
+\contentsline {section}{\numberline {4.6}Colours and the nuances of a colour}{35}{section.4.6}
+\contentsline {subsection}{\numberline {4.6.1}Predefined colours by the option \texttt {dvipsnames}}{35}{subsection.4.6.1}
+\contentsline {subsection}{\numberline {4.6.2}Predefined colours by the option \texttt {svgnames}}{37}{subsection.4.6.2}
+\contentsline {subsection}{\numberline {4.6.3}Nuances in the colour scheme of HSB, saturation and maximum brilliance}{40}{subsection.4.6.3}
+\contentsline {subsection}{\numberline {4.6.4}Nuances in the colour scheme of HSB, saturation and fixed brilliance}{40}{subsection.4.6.4}
+\contentsline {subsection}{\numberline {4.6.5}Nuances in the colour scheme of HSB, gneral case}{41}{subsection.4.6.5}
+\contentsline {subsection}{\numberline {4.6.6}Nuances in the colour scheme of RGB}{41}{subsection.4.6.6}
+\contentsline {subsection}{\numberline {4.6.7}Nuances in the colour scheme of CMYK}{41}{subsection.4.6.7}
+\contentsline {subsection}{\numberline {4.6.8}Nuances between 2 named colours}{42}{subsection.4.6.8}
+\contentsline {subsection}{\numberline {4.6.9}Deactivation of the colour application}{42}{subsection.4.6.9}
+\contentsline {section}{\numberline {4.7}Colouring some single faces}{42}{section.4.7}
+\contentsline {section}{\numberline {4.8}Nuances of transparency}{45}{section.4.8}
+\contentsline {section}{\numberline {4.9}Definition of grating}{45}{section.4.9}
+\contentsline {subsection}{\numberline {4.9.1}The cube}{45}{subsection.4.9.1}
+\contentsline {subsection}{\numberline {4.9.2}Sphere}{46}{subsection.4.9.2}
+\contentsline {subsection}{\numberline {4.9.3}Cylinders}{47}{subsection.4.9.3}
+\contentsline {subsection}{\numberline {4.9.4}Torus}{48}{subsection.4.9.4}
+\contentsline {section}{\numberline {4.10}The modes}{48}{section.4.10}
+\contentsline {section}{\numberline {4.11}Truncate a solid's vertices}{49}{section.4.11}
+\contentsline {section}{\numberline {4.12}Hollowing out a solid's faces}{50}{section.4.12}
+\contentsline {section}{\numberline {4.13}Chamfering a solid}{51}{section.4.13}
+\contentsline {section}{\numberline {4.14}The option \texttt {transform}}{52}{section.4.14}
+\contentsline {subsection}{\numberline {4.14.1}Identical scaling factor in the three coordinates}{52}{subsection.4.14.1}
+\contentsline {subsection}{\numberline {4.14.2}Different scaling factors for the three coordinates}{54}{subsection.4.14.2}
+\contentsline {subsection}{\numberline {4.14.3}Transformation associated with the distance to the origin}{54}{subsection.4.14.3}
+\contentsline {subsection}{\numberline {4.14.4}Bending and torsion of beams}{55}{subsection.4.14.4}
+\contentsline {section}{\numberline {4.15}Lines of intersecting planes}{57}{section.4.15}
+\contentsline {chapter}{\numberline {5}Usage of external files}{59}{chapter.5}
+\contentsline {section}{\numberline {5.1}Using the data file types \texttt {.obj} and \texttt {.off}}{59}{section.5.1}
+\contentsline {subsection}{\numberline {5.1.1}\texttt {.dat} files (specific to \texttt {pst-solides3d})}{60}{subsection.5.1.1}
+\contentsline {subsubsection}{Writing \texttt {.dat} files}{60}{subsubsection*.5}
+\contentsline {subsubsection}{Reading \texttt {.dat} files}{60}{subsubsection*.6}
+\contentsline {subsection}{\numberline {5.1.2}\texttt {.obj} files}{60}{subsection.5.1.2}
+\contentsline {subsubsection}{Writing \texttt {.obj} files}{61}{subsubsection*.7}
+\contentsline {subsubsection}{Reading \texttt {.obj} files}{61}{subsubsection*.8}
+\contentsline {subsection}{\numberline {5.1.3}\texttt {.off} files}{62}{subsection.5.1.3}
+\contentsline {subsubsection}{Writing \texttt {.off} files}{62}{subsubsection*.9}
+\contentsline {subsubsection}{Reading.off files}{62}{subsubsection*.10}
+\contentsline {chapter}{\numberline {6}Some special objects}{63}{chapter.6}
+\contentsline {section}{\numberline {6.1}The grid}{63}{section.6.1}
+\contentsline {section}{\numberline {6.2}The object \texttt {point}}{64}{section.6.2}
+\contentsline {subsection}{\numberline {6.2.1}Definition via coordinates}{64}{subsection.6.2.1}
+\contentsline {subsection}{\numberline {6.2.2}Some other definitions}{64}{subsection.6.2.2}
+\contentsline {section}{\numberline {6.3}The object \texttt {vecteur}}{65}{section.6.3}
+\contentsline {subsection}{\numberline {6.3.1}Definition with components}{65}{subsection.6.3.1}
+\contentsline {subsection}{\numberline {6.3.2}Definition with 2 points}{66}{subsection.6.3.2}
+\contentsline {subsection}{\numberline {6.3.3}Some other definitions of a vector}{66}{subsection.6.3.3}
+\contentsline {section}{\numberline {6.4}The object \texttt {plan}}{67}{section.6.4}
+\contentsline {subsection}{\numberline {6.4.1}Presentation: type \texttt {plan\/} and type \texttt {solid} }{67}{subsection.6.4.1}
+\contentsline {subsection}{\numberline {6.4.2}Defining an oriented plane}{67}{subsection.6.4.2}
+\contentsline {subsection}{\numberline {6.4.3}Special options}{68}{subsection.6.4.3}
+\contentsline {subsection}{\numberline {6.4.4}Defining a plane with a cartesian equation}{68}{subsection.6.4.4}
+\contentsline {subsubsection}{Usage with default orientation and origin}{68}{subsubsection*.11}
+\contentsline {subsubsection}{Specifying the origin}{69}{subsubsection*.12}
+\contentsline {subsubsection}{Specifying the orientation}{69}{subsubsection*.13}
+\contentsline {subsection}{\numberline {6.4.5}Defining a plane using a normal vector and a point}{70}{subsection.6.4.5}
+\contentsline {subsubsection}{First Method: orientation Unspecified}{70}{subsubsection*.14}
+\contentsline {subsubsection}{Second Method: Specifying an angle of rotation}{70}{subsubsection*.15}
+\contentsline {subsubsection}{Third Method: Specifying the first basis vector}{71}{subsubsection*.16}
+\contentsline {subsubsection}{Fourth Method: Specifying the first basis vector and an angle of rotation}{71}{subsubsection*.17}
+\contentsline {subsection}{\numberline {6.4.6}Defining a plane from a face of a solid}{72}{subsection.6.4.6}
+\contentsline {section}{\numberline {6.5}The object \texttt {geode}}{72}{section.6.5}
+\contentsline {subsection}{\numberline {6.5.1}Mathematical presentation}{72}{subsection.6.5.1}
+\contentsline {subsection}{\numberline {6.5.2}Construction with pst-solides3d}{73}{subsection.6.5.2}
+\contentsline {subsection}{\numberline {6.5.3}Some examples of geodes and their duals}{73}{subsection.6.5.3}
+\contentsline {subsection}{\numberline {6.5.4}The parameters of the geodes}{74}{subsection.6.5.4}
+\contentsline {subsection}{\numberline {6.5.5}Advice for a `fast' construction of a geode}{75}{subsection.6.5.5}
+\contentsline {subsubsection}{Backup the parameters of the geodes in a \texttt {.dat} file}{75}{subsubsection*.18}
+\contentsline {subsubsection}{Reading the data and drawing the geode}{76}{subsubsection*.19}
+\contentsline {subsection}{\numberline {6.5.6}Some other examples}{76}{subsection.6.5.6}
+\contentsline {chapter}{\numberline {7}Generating some new solids}{77}{chapter.7}
+\contentsline {section}{\numberline {7.1}The jps code}{77}{section.7.1}
+\contentsline {section}{\numberline {7.2}Defining a function}{78}{section.7.2}
+\contentsline {section}{\numberline {7.3}Curves of functions from R in R\textsuperscript {3}}{79}{section.7.3}
+\contentsline {section}{\numberline {7.4}Tubes}{80}{section.7.4}
+\contentsline {subsection}{\numberline {7.4.1}Usage with PSTricks}{81}{subsection.7.4.1}
+\contentsline {subsubsection}{Give your curves a relief}{81}{subsubsection*.20}
+\contentsline {subsubsection}{A hairline curve is produced with the radius \texttt {r=0}}{82}{subsubsection*.21}
+\contentsline {subsection}{\numberline {7.4.2}Usage with \texttt {\textbackslash {}codejps}}{82}{subsection.7.4.2}
+\contentsline {subsection}{\numberline {7.4.3}Improving the speed of readout}{83}{subsection.7.4.3}
+\contentsline {subsubsection}{Obtaining the curve directly}{83}{subsubsection*.22}
+\contentsline {subsubsection}{Saving the parameters of the curve}{84}{subsubsection*.23}
+\contentsline {subsubsection}{The plot of the curve}{85}{subsubsection*.24}
+\contentsline {subsection}{\numberline {7.4.4}Some other examples}{86}{subsection.7.4.4}
+\contentsline {subsubsection}{A straight line}{86}{subsubsection*.25}
+\contentsline {subsubsection}{A hypocycloid}{86}{subsubsection*.26}
+\contentsline {subsubsection}{The spring of Gaston}{87}{subsubsection*.27}
+\contentsline {section}{\numberline {7.5}The prism}{87}{section.7.5}
+\contentsline {subsubsection}{Example 1: a right and oblique prisms with polygonal section}{88}{subsubsection*.28}
+\contentsline {subsubsection}{Example 2: a right prism with cross-section a rounded square}{88}{subsubsection*.29}
+\contentsline {subsubsection}{Example 4: a prism with an elliptic section}{88}{subsubsection*.30}
+\contentsline {subsubsection}{Example 3: a right prism with a star-shaped section}{89}{subsubsection*.31}
+\contentsline {subsubsection}{Example 5: a roof gutter with a semi-circular section}{90}{subsubsection*.32}
+\contentsline {subsubsection}{The parameter \texttt {decal}}{90}{subsubsection*.33}
+\contentsline {section}{\numberline {7.6}Construction from scratch}{91}{section.7.6}
+\contentsline {subsection}{\numberline {7.6.1}Example 1: a house}{92}{subsection.7.6.1}
+\contentsline {subsection}{\numberline {7.6.2}Example 2: a hyperboloid with a fixed radius}{92}{subsection.7.6.2}
+\contentsline {subsection}{\numberline {7.6.3}Example 3: importing external files}{93}{subsection.7.6.3}
+\contentsline {section}{\numberline {7.7}One- and two-sided solids}{94}{section.7.7}
+\contentsline {subsection}{\numberline {7.7.1}Triangular \texttt {`faces'}}{95}{subsection.7.7.1}
+\contentsline {subsection}{\numberline {7.7.2}\texttt {`face'} defined by a function}{95}{subsection.7.7.2}
+\contentsline {section}{\numberline {7.8}Solid strip}{95}{section.7.8}
+\contentsline {subsection}{\numberline {7.8.1}A simple folding screen}{96}{subsection.7.8.1}
+\contentsline {subsection}{\numberline {7.8.2}A sinusoidal folding screen}{96}{subsection.7.8.2}
+\contentsline {subsection}{\numberline {7.8.3}A corrugated surface}{96}{subsection.7.8.3}
+\contentsline {subsection}{\numberline {7.8.4}An asteroidal folding screen: version 1}{97}{subsection.7.8.4}
+\contentsline {subsection}{\numberline {7.8.5}An asteroidal folding screen: version 2}{98}{subsection.7.8.5}
+\contentsline {section}{\numberline {7.9}Solid rings}{98}{section.7.9}
+\contentsline {subsection}{\numberline {7.9.1}Predefined command: the ring with a rectangular section}{99}{subsection.7.9.1}
+\contentsline {subsection}{\numberline {7.9.2}Example 1: a simple ring with a triangular section}{100}{subsection.7.9.2}
+\contentsline {subsection}{\numberline {7.9.3}Example 2: a ring with a variable triangular section}{101}{subsection.7.9.3}
+\contentsline {subsection}{\numberline {7.9.4}Example 3: a ring with a``tyre''-like section: cylindric ring with chamfered edges}{102}{subsection.7.9.4}
+\contentsline {subsection}{\numberline {7.9.5}Example 4: an empty bobbin}{103}{subsection.7.9.5}
+\contentsline {subsection}{\numberline {7.9.6}Some other rings}{103}{subsection.7.9.6}
+\contentsline {section}{\numberline {7.10}Generalization of the notion of a cylinder and a cone}{104}{section.7.10}
+\contentsline {subsection}{\numberline {7.10.1}Cylinder or cylindric area}{104}{subsection.7.10.1}
+\contentsline {subsection}{\numberline {7.10.2}Cone or conic area}{108}{subsection.7.10.2}
+\contentsline {section}{\numberline {7.11}Parameterised surfaces}{110}{section.7.11}
+\contentsline {subsection}{\numberline {7.11.1}The method}{110}{subsection.7.11.1}
+\contentsline {subsection}{\numberline {7.11.2}Example 1: a sea shell}{110}{subsection.7.11.2}
+\contentsline {subsection}{\numberline {7.11.3}Example 2: a helix}{111}{subsection.7.11.3}
+\contentsline {subsection}{\numberline {7.11.4}Example 3: a cone}{112}{subsection.7.11.4}
+\contentsline {subsection}{\numberline {7.11.5}An advised website}{112}{subsection.7.11.5}
+\contentsline {chapter}{\numberline {8}Surfaces defined by a function of the form $z=f(x,y)$}{115}{chapter.8}
+\contentsline {section}{\numberline {8.1}Presentation}{115}{section.8.1}
+\contentsline {section}{\numberline {8.2}Example 1: a saddle}{116}{section.8.2}
+\contentsline {section}{\numberline {8.3}Example 2: a saddle without a grid}{117}{section.8.3}
+\contentsline {section}{\numberline {8.4}Example 3: a paraboloid}{117}{section.8.4}
+\contentsline {section}{\numberline {8.5}Example 4: a sinusoidal wave}{118}{section.8.5}
+\contentsline {section}{\numberline {8.6}Example 5: another sinusoidal wave}{118}{section.8.6}
+\contentsline {section}{\numberline {8.7}Example 6: a hyperbolic paraboloid with the equation $z = xy$}{118}{section.8.7}
+\contentsline {section}{\numberline {8.8}Example 7: a surface with the equation $z = xy(x^2+y^2)$}{119}{section.8.8}
+\contentsline {section}{\numberline {8.9}Example 8: a surface with the equation $z = \left (1-\frac {x^2+y^2}{2}\right )^2$}{119}{section.8.9}
+\contentsline {chapter}{\numberline {9}Advanced usage}{121}{chapter.9}
+\contentsline {section}{\numberline {9.1}Naming a solid}{121}{section.9.1}
+\contentsline {section}{\numberline {9.2}Sectioning a solid with a plane}{122}{section.9.2}
+\contentsline {subsection}{\numberline {9.2.1}Drawing the intersection between a plane and a solid}{122}{subsection.9.2.1}
+\contentsline {subsubsection}{The parameters}{122}{subsubsection*.34}
+\contentsline {subsection}{\numberline {9.2.2}Slicing a solid}{123}{subsection.9.2.2}
+\contentsline {subsubsection}{Slicing a filled solid}{123}{subsubsection*.35}
+\contentsline {subsubsection}{Slicing a hollow solid}{124}{subsubsection*.36}
+\contentsline {subsection}{\numberline {9.2.3}Slice of a pyramid}{125}{subsection.9.2.3}
+\contentsline {subsubsection}{Highlighting the contour lines and first slice}{125}{subsubsection*.37}
+\contentsline {subsubsection}{The second slice and its insertion within the pyramid}{127}{subsubsection*.38}
+\contentsline {subsection}{\numberline {9.2.4}Slicing an octahedron with a plane parallel to one of its faces}{128}{subsection.9.2.4}
+\contentsline {subsubsection}{The view inside}{128}{subsubsection*.39}
+\contentsline {subsubsection}{Regarding the solid as filled}{129}{subsubsection*.40}
+\contentsline {subsubsection}{The two parts of a sliced solid}{130}{subsubsection*.41}
+\contentsline {subsection}{\numberline {9.2.5}Slices of a cube}{131}{subsection.9.2.5}
+\contentsline {subsubsection}{Highlighting the edges of the cut}{131}{subsubsection*.42}
+\contentsline {subsubsection}{Showing the sliced cube with its hexagonal cut face}{132}{subsubsection*.43}
+\contentsline {subsubsection}{The sliced cube in various positions}{133}{subsubsection*.44}
+\contentsline {subsection}{\numberline {9.2.6}Multiple sections}{134}{subsection.9.2.6}
+\contentsline {subsubsection}{Slicing a sphere with PStricks}{134}{subsubsection*.45}
+\contentsline {subsubsection}{Multiple sections of a parallelepiped}{135}{subsubsection*.46}
+\contentsline {subsection}{\numberline {9.2.7}Sections of a torus}{137}{subsection.9.2.7}
+\contentsline {subsection}{\numberline {9.2.8}Some more examples}{137}{subsection.9.2.8}
+\contentsline {section}{\numberline {9.3}Fusing solids}{138}{section.9.3}
+\contentsline {section}{\numberline {9.4}Fusing with \textit {jps code}}{139}{section.9.4}
+\contentsline {subsection}{\numberline {9.4.1}Using \textit {jps code}}{139}{subsection.9.4.1}
+\contentsline {subsubsection}{The choice of object}{139}{subsubsection*.47}
+\contentsline {subsubsection}{The transformations}{139}{subsubsection*.48}
+\contentsline {subsubsection}{The choice of object colour}{140}{subsubsection*.49}
+\contentsline {subsubsection}{Fusing objects}{140}{subsubsection*.50}
+\contentsline {subsubsection}{Designing objects}{140}{subsubsection*.51}
+\contentsline {subsection}{\numberline {9.4.2}A chloride ion}{141}{subsection.9.4.2}
+\contentsline {subsection}{\numberline {9.4.3}A prototype of a vehicle}{143}{subsection.9.4.3}
+\contentsline {subsection}{\numberline {9.4.4}A wheel -- or a space station}{145}{subsection.9.4.4}
+\contentsline {subsection}{\numberline {9.4.5}Intersection of two cylinders}{146}{subsection.9.4.5}
+\contentsline {subsection}{\numberline {9.4.6}Intersection between a sphere and a cylinder}{146}{subsection.9.4.6}
+\contentsline {subsection}{\numberline {9.4.7}Two linked rings}{147}{subsection.9.4.7}
+\contentsline {subsection}{\numberline {9.4.8}The methane molecule: wooden model}{147}{subsection.9.4.8}
+\contentsline {subsection}{\numberline {9.4.9}The thiosulphate ion}{149}{subsection.9.4.9}
+\contentsline {chapter}{\numberline {10}Interaction with PSTricks}{151}{chapter.10}
+\contentsline {section}{\numberline {10.1}Positioning a named point}{151}{section.10.1}
+\contentsline {section}{\numberline {10.2}Drawing a line}{152}{section.10.2}
+\contentsline {section}{\numberline {10.3}Drawing a polygon}{152}{section.10.3}
+\contentsline {section}{\numberline {10.4}Transformations to a point}{153}{section.10.4}
+\contentsline {section}{\numberline {10.5}Adding dimensions to the scenery}{154}{section.10.5}
+\contentsline {chapter}{\numberline {11}Projections}{155}{chapter.11}
+\contentsline {section}{\numberline {11.1}Presentation}{155}{section.11.1}
+\contentsline {section}{\numberline {11.2}The parameter \texttt {visibility}}{155}{section.11.2}
+\contentsline {section}{\numberline {11.3}Defining a projection plane}{155}{section.11.3}
+\contentsline {section}{\numberline {11.4}Points}{156}{section.11.4}
+\contentsline {subsection}{\numberline {11.4.1}Direct definition}{156}{subsection.11.4.1}
+\contentsline {subsection}{\numberline {11.4.2}Labels}{156}{subsection.11.4.2}
+\contentsline {subsection}{\numberline {11.4.3}Naming and memorising a point}{156}{subsection.11.4.3}
+\contentsline {subsection}{\numberline {11.4.4}Some other definitions}{157}{subsection.11.4.4}
+\contentsline {section}{\numberline {11.5}Vectors}{159}{section.11.5}
+\contentsline {subsection}{\numberline {11.5.1}Direct definition}{159}{subsection.11.5.1}
+\contentsline {subsection}{\numberline {11.5.2}Some more definitions}{159}{subsection.11.5.2}
+\contentsline {section}{\numberline {11.6}Lines}{160}{section.11.6}
+\contentsline {subsection}{\numberline {11.6.1}Direct definition}{160}{subsection.11.6.1}
+\contentsline {subsection}{\numberline {11.6.2}Some other definitions}{161}{subsection.11.6.2}
+\contentsline {section}{\numberline {11.7}Circles}{161}{section.11.7}
+\contentsline {subsection}{\numberline {11.7.1}Direct definition}{161}{subsection.11.7.1}
+\contentsline {subsection}{\numberline {11.7.2}Some other definitions}{162}{subsection.11.7.2}
+\contentsline {section}{\numberline {11.8}Polygons}{162}{section.11.8}
+\contentsline {subsection}{\numberline {11.8.1}Direct definition}{162}{subsection.11.8.1}
+\contentsline {section}{\numberline {11.9}Lines}{164}{section.11.9}
+\contentsline {subsection}{\numberline {11.9.1}Direct definition}{164}{subsection.11.9.1}
+\contentsline {section}{\numberline {11.10}Right angle}{165}{section.11.10}
+\contentsline {subsection}{\numberline {11.10.1}Direct definition}{165}{subsection.11.10.1}
+\contentsline {section}{\numberline {11.11}Curves of real-valued and parameterised functions}{166}{section.11.11}
+\contentsline {subsection}{\numberline {11.11.1}Curve of a real-valued function}{166}{subsection.11.11.1}
+\contentsline {subsection}{\numberline {11.11.2}Parameterised curves}{167}{subsection.11.11.2}
+\contentsline {section}{\numberline {11.12}Text}{168}{section.11.12}
+\contentsline {subsection}{\numberline {11.12.1}The parameters and the options}{168}{subsection.11.12.1}
+\contentsline {subsection}{\numberline {11.12.2}Examples of projecting onto a plane}{169}{subsection.11.12.2}
+\contentsline {subsubsection}{Example 1: projection onto $Oxy$, with the option \texttt {pos=bc}}{169}{subsubsection*.52}
+\contentsline {subsubsection}{Example 2: projection onto $Oxy$, centred text}{170}{subsubsection*.53}
+\contentsline {subsubsection}{Example 3: projection onto $Oxy$, with different options \texttt {pos=dl, etc.}}{170}{subsubsection*.54}
+\contentsline {subsubsection}{Example 4: projection onto $Oxy$ with text rotation}{171}{subsubsection*.55}
+\contentsline {subsubsection}{Example 5: positioning text at a point}{171}{subsubsection*.56}
+\contentsline {subsection}{\numberline {11.12.3}Examples for projecting onto a face of a solid}{172}{subsection.11.12.3}
+\contentsline {subsubsection}{Method}{172}{subsubsection*.57}
+\contentsline {subsubsection}{Text rotation with the option \texttt {phi}}{173}{subsubsection*.58}
+\contentsline {subsection}{\numberline {11.12.4}Examples of projecting onto different faces of a solid}{173}{subsection.11.12.4}
+\contentsline {section}{\numberline {11.13}Projection of images}{176}{section.11.13}
+\contentsline {section}{\numberline {11.14}A bit of theory}{180}{section.11.14}
+\contentsline {chapter}{\numberline {12}Possible extensions}{181}{chapter.12}
+\contentsline {section}{\numberline {12.1}Creating your own object}{181}{section.12.1}
+\contentsline {section}{\numberline {12.2}Creating a \texttt {.u3d} file}{181}{section.12.2}
+\contentsline {chapter}{\numberline {A}Appendix}{183}{appendix.A}
+\contentsline {section}{\numberline {A.1}The parameters of \texttt {pst-solides3d}}{183}{section.A.1}
+\contentsline {section}{\numberline {A.2}Alphabetical list of keywords}{186}{section.A.2}
+\contentsline {section}{\numberline {A.3}Acknowledgments}{192}{section.A.3}
+\contentsline {section}{\numberline {A.4}The poems}{192}{section.A.4}
+\contentsline {chapter}{\nonumberline Bibliography}{201}{appendix*.60}
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/rocket.obj b/Master/texmf-dist/doc/generic/pst-solides3d/src/rocket.obj
index 4ecc0d252f2..4ecc0d252f2 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/rocket.obj
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/rocket.obj
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-couleurs.dat
index 31df6430d76..31df6430d76 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-faces.dat
index 8b2edcbc3fb..8b2edcbc3fb 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-io.dat
index f391be39b0b..f391be39b0b 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-sommets.dat
index 586409421f6..586409421f6 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/slicePyramid-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/slicePyramid-sommets.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/sommets_nefer.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/sommets_nefer.dat
index ecdc368742f..ecdc368742f 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/sommets_nefer.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/sommets_nefer.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/sommets_nefer0.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/sommets_nefer0.dat
index ecdc368742f..ecdc368742f 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/sommets_nefer0.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/sommets_nefer0.dat
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new file mode 100644
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diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-couleurs.dat
index 5da771beaef..5da771beaef 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-faces.dat
index b634a183b0c..b634a183b0c 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-io.dat
index 74d7e54460c..74d7e54460c 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-sommets.dat
index a178619ff58..a178619ff58 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1836-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1836-sommets.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-couleurs.dat
index f36da37a1d5..f36da37a1d5 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-faces.dat
index 5ff8eb92fc8..5ff8eb92fc8 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-io.dat
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--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-sommets.dat
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--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860-sommets.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-couleurs.dat
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--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-faces.dat
index 1d73d567337..1d73d567337 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-io.dat
index 34953e4e77c..34953e4e77c 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-sommets.dat
index 78ca14048aa..78ca14048aa 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860lemniscate-sommets.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-couleurs.dat
index 9dbe8bd74bc..9dbe8bd74bc 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-faces.dat
index 9b4f939da22..9b4f939da22 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-io.dat
index a71f32c9d6d..a71f32c9d6d 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-sommets.dat
index 3ed05ae4969..3ed05ae4969 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860ovales-sommets.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-couleurs.dat
index bed7d705411..bed7d705411 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-couleurs.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-couleurs.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-faces.dat
index 87ade361b57..87ade361b57 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-faces.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-faces.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-io.dat
index 06ba3eeca2e..06ba3eeca2e 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-io.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-io.dat
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-sommets.dat
index 97d067acf79..97d067acf79 100644
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860part-sommets.dat
+++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/tore1860part-sommets.dat
diff --git a/Master/texmf-dist/dvips/pst-solides3d/pst-solides3d.pro b/Master/texmf-dist/dvips/pst-solides3d/pst-solides3d.pro
index a105f943efb..3ca3adb269b 100644
--- a/Master/texmf-dist/dvips/pst-solides3d/pst-solides3d.pro
+++ b/Master/texmf-dist/dvips/pst-solides3d/pst-solides3d.pro
@@ -11039,10 +11039,10 @@ grestore
/pst-point {
gsave
- linecolor
+ linecolor
1 gere_pstfont
action (none) eqstring not {
- args definition cvx exec point3d
+ args definition cvx exec point3d
} if
texte args definition cvx exec pos (text3d) append cvx exec
tx@Dict /solidname known {
diff --git a/Master/texmf-dist/tex/generic/pst-solides3d/pst-solides3d.tex b/Master/texmf-dist/tex/generic/pst-solides3d/pst-solides3d.tex
index 9a8341709e3..0401260af19 100644
--- a/Master/texmf-dist/tex/generic/pst-solides3d/pst-solides3d.tex
+++ b/Master/texmf-dist/tex/generic/pst-solides3d/pst-solides3d.tex
@@ -1,5 +1,5 @@
%%
-%% COPYRIGHT 2008-2010 by Manuel Luque, Arnaud Schmittbuhl,
+%% COPYRIGHT 2008-2014 by Manuel Luque, Arnaud Schmittbuhl,
%% Jean-Paul Vignault, Herbert Voss.
%%
%% This work may be distributed and/or modified under the
@@ -33,8 +33,8 @@
\ifx\PSTXKeyLoaded\endinput\else \input pst-xkey \fi
\ifx\MultidoLoaded\endinput\else \input multido.tex \fi
% JPV & ML & AS & HV
-\def\fileversion{4.24}
-\def\filedate{2011/07/13}
+\def\fileversion{4.25}
+\def\filedate{2014/03/22}
\message{`PSTSOLIDESIIID' v\fileversion, \filedate}
%
\pstheader{pst-solides3d.pro}
@@ -816,10 +816,10 @@ XpointVue YpointVue ZpointVue /viewpoint defpoint3d
%% creation des variables pour PSTricks
\define@boolkey[psset]{pst-solides3d}[Pst@]{visibility}[false]{}
\psset{visibility=true}
-\define@key[psset]{pst-solides3d}{normal}{\def\pst@solides@normal{#1}}
+\define@key[psset]{pst-solides3d}{normal}{\def\pst@solides@normal{#1 }}
\psset[pst-solides3d]{normal=0 0 1}
% origine du plan
-\define@key[psset]{pst-solides3d}{origine}{\def\pst@solides@origin{#1}} % origine du plan
+\define@key[psset]{pst-solides3d}{origine}{\def\pst@solides@origin{#1 }} % origine du plan
\psset[pst-solides3d]{origine=0 0 0 }%
%% le range pour les fonctions numeriques
\define@key[psset]{pst-solides3d}{range}{\def\pst@solides@range{#1}}
@@ -969,6 +969,144 @@ XpointVue YpointVue ZpointVue /viewpoint defpoint3d
\SpecialCoor%
}
%
+%% === Chemin pour les dessins ---------------------------------------------
+%\define@key[psset]{pst-solides3d}{fichier}{\edef\psk@solides@fichier{#1}} % chemin des dessins
+%\psset{fichier=}
+%% === Echelle pour l'image -----------------------------------------------
+\define@key[psset]{pst-solides3d}{unitPicture}{\edef\psk@solides@unitPicture{#1 }}
+\psset{unitPicture=28.45}
+%% === nombre de divisions des segments -----------------------------------------------
+\define@key[psset]{pst-solides3d}{divisions}{\edef\psk@solides@divisions{#1 }}
+\psset{divisions=5}
+%
+\def\psImage{\pst@object{psImage}}
+\def\psImage@i{\@ifnextchar({\psImage@ii}{\psImage@ii(0,0)}}
+\def\psImage@ii(#1,#2){{%
+ \ifPst@solidmemory\use@par\else\begin@ClosedObj\fi%
+\addto@pscode{
+%% === adapté de Jean-Michel Sarlat dans pst-anamorphosis ----------------------
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% === Capture de commandes de systemdict --------------------------------------
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+/LINETO { systemdict /lineto get exec } def
+/MOVETO { systemdict /moveto get exec } def
+/CURVETO { systemdict /curveto get exec } def
+/CLOSEPATH { systemdict /closepath get exec } def
+/RLINETO { systemdict /rlineto get exec } def
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% === Transformation des commandes de construction des path(s) ----------------
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+/tx@projectionDict 20 dict def
+tx@projectionDict begin
+/moveto {
+ /s@y ED /s@x ED /c@x s@x def /c@y s@y def
+ s@x unit_image div
+ s@y unit_image div
+ 2 copy
+ sinPhi mul neg exch cosPhi mul add % x'
+ 3 1 roll
+ cosPhi mul exch sinPhi mul add % y'
+ /Ypoint exch def
+ /Xpoint exch def
+ projectionimage
+ MOVETO
+} bind def
+/lineto {
+ /c@yt ED /c@xt ED /dx c@xt c@x sub ND div def /dy c@yt c@y sub ND div def
+ 1 1 ND {dup dx mul c@x add exch dy mul c@y add
+%/Ypoint exch unit_image div def
+%/Xpoint exch unit_image div def
+ unit_image div exch
+ unit_image div exch
+ 2 copy
+ sinPhi mul neg exch cosPhi mul add % x'
+ 3 1 roll
+ cosPhi mul exch sinPhi mul add % y'
+ /Ypoint exch def
+ /Xpoint exch def
+ projectionimage
+ LINETO} for
+ /c@x c@xt def /c@y c@yt def
+} bind def
+/closepath {
+ s@x s@y lineto CLOSEPATH
+} bind def
+/curveto {
+ /c@yt ED /c@xt ED
+ /c@yb ED /c@xb ED
+ /c@ya ED /c@xa ED
+ 1 1 NDC {
+ NDC div /s ED 1 s sub /t ED
+ t c@x mul 3 s c@xa mul mul add t mul 3 s s c@xb mul mul mul add t mul s 3 exp c@xt mul add
+ t c@y mul 3 s c@ya mul mul add t mul 3 s s c@yb mul mul mul add t mul s 3 exp c@yt mul add
+ unit_image div exch
+ unit_image div exch
+ 2 copy
+ sinPhi mul neg exch cosPhi mul add % x'
+ 3 1 roll
+ cosPhi mul exch sinPhi mul add % y'
+ /Ypoint exch def
+ /Xpoint exch def
+ projectionimage
+ LINETO
+ } for
+ /c@x c@xt def /c@y c@yt def
+} bind def
+end
+/Atan { /atan load stopped { pop pop 0 } if } def
+save
+\tx@optionssolides
+ SolidesDict begin
+/cm {\pst@number\psunit mul } bind def
+/cm_1 {\pst@number\psunit div } bind def
+/unit_image \psk@solides@unitPicture def
+/fichier (\pst@solides@file) def
+/Normale {\pst@solides@normal\space unitaire3d } bind def
+/ND \psk@solides@divisions def
+/NDC {\psk@solides@divisions 3 mul} bind def
+/origin {\pst@solides@origin\space } def
+/cosPhi {phi cos} bind def
+/sinPhi {phi sin} bind def
+Normale
+/nz exch def
+/ny exch def
+/nx exch def
+/Phi {90 nz arccos sub} bind def
+/Theta {ny nx Atan} bind def
+/sinT {Theta sin} bind def
+/cosT {Theta cos} bind def
+/sinP {Phi sin} bind def
+/cosP {Phi cos} bind def
+origin
+ /zO' exch def
+ /yO' exch def
+ /xO' exch def
+/projectionimage {
+% projection sur le plan
+Xpoint sinT mul neg Ypoint sinP cosT mul mul sub xO' add % x'
+Xpoint cosT mul Ypoint sinP mul sinT mul sub yO' add % y'
+Ypoint cosP mul zO' add % z'
+3dto2d %
+ } def
+ projectionsifacevisible not origin Normale planvisible? or {
+ /showpage {} def
+gsave
+tx@projectionDict begin
+#1 sinT mul neg #2 sinP cosT mul mul sub
+#1 cosT mul #2 sinP mul sinT mul sub
+#2 cosP mul
+3dto2d
+translate
+fichier run
+end
+grestore
+ } if
+end
+restore
+}%
+ \ifPst@solidmemory\else\end@ClosedObj\fi}\ignorespaces%
+}
+%
\def\psResetSolidKeys{%
\psset[pst-solides3d]{%
action=draw**,%