mfpic 1.00 (30sep09)

git-svn-id: svn://tug.org/texlive/trunk@15602 c570f23f-e606-0410-a88d-b1316a301751

25 files changed, 18811 insertions, 16501 deletions

diff --git a/Master/texmf-dist/doc/generic/mfpic/README b/Master/texmf-dist/doc/generic/mfpic/README
index ff9292a13ce..42a2aa57bb0 100644
--- a/Master/texmf-dist/doc/generic/mfpic/README
+++ b/Master/texmf-dist/doc/generic/mfpic/README
@@ -1,34 +1,34 @@
 %%% File: README
-%%% A part of mfpic 0.9 2006/05/26
+%%% A part of mfpic 1.00 2009/09/22
 %%%
 
 MFpic defines a command group \mfpic...\endmfpic (optionally in LaTeX
 an environment, mfpic) and drawing commands to be used inside this group.
 When TeX (or LaTeX) is run on a file containing those commands, a
-Metafont (or MetaPost) source file is created. When that file is correctly
-processed by Metafont (or MetaPost), and LaTeX or TeX is run again, the
+MetaPost (or Metafont) source file is created. When that file is correctly
+processed by MetaPost (or Metafont), and LaTeX or TeX is run again, the
 result is a figure in the TeX document at the location of each
 environment.
 
 See install.txt for initial setup and brief installation instructions.
 See mfpguide.pdf for a short tutorial. See below for a summary of
-features added since the previous official release (0.8a beta). See the
-manual mfpman.pdf for more detailed instructions and descriptions
+features added since the previous official release (0.9). See the
+manual mfpic-doc.pdf for more detailed instructions and descriptions
 of features.
 
-This is mfpic version 0.9.
+This is mfpic version 1.00.
 
 LEGALITIES
 ----------
 All files of the core mfpic distribution (listed below) may be
 distributed and/or modified under the conditions of the LaTeX Project
-Public License, either version 1.3b of this license or (at your option)
+Public License, either version 1.3c of this license or (at your option)
 any later version. The latest version of this license is in
 
   http://www.latex-project.org/lppl.txt
 
-and version 1.3b or later is part of all distributions of LaTeX version
-2006/12/01 or later.
+and version 1.3c or later is part of all distributions of LaTeX version
+2008/12/01 or later.
 
 While every effort has been made to make mfpic useful, it comes with no
 warranty, expressed or implied.
@@ -37,139 +37,102 @@ MANIFEST
 --------
 Here is a list, plus explanation of purpose, of all files in the mfpic
 distribution. Read it *before* trying to process any of the example
-files. These, and the files generated by TeXing mfpic.ins, constitute
-the mfpic distribution to which the LPPL applies.
+files. These, and the files generated by running tex on mfpic.ins,
+constitute the mfpic distribution to which the LPPL applies.
 
 The four files marked with * below are the only ones essential
 for using all the facilities of mfpic.
 
-All the *.tex files in the src directory (except the plainTeX file
+All the *.tex files in the doc directory (except the plainTeX file
 mfpcard.tex) require the LaTeX style file mfpdoc.sty. The mfpic manual
-is mfpman.pdf.
+is mfpic-doc.pdf.
+
+Source files:
+------------
+*mfpic.dtx      Contains mfpic.sty and mfpic.tex
+*grafbase.dtx   Contains grafbase.mf, grafbase.mp and dvipsnam.mp
+*mfpic.ins      The unpacking script: run tex or latex on it. It reads
+                in mfpic.dtx and grafbase.dtx and produces the only
+                required run-time files: mfpic.sty, mfpic.tex,
+                grafbase.mf, grafbase.mp, and dvipsnam.mp
 
 TeX/LaTeX code:
 --------------
-*mfpic.dtx          Contains mfpic.sty and mfpic.tex
-*mfpic.ins          The unpacking script, run tex or latex on it. It
-                    reads in mfpic.dtx and grafbase.dtx and produces
-                    the only required files: mfpic.sty, mfpic.tex,
-                    grafbase.mf, grafbase.mp, and dvipsnam.mp
-*mfppatch.tex       patches and bugfixes. Not required unless there are
-                    some
+*mfpic.tex      Basic TeX/LaTeX code
+*mfpic.sty      LaTeX2e \usepackage wrapper for mfpic.tex
+*mfppatch.tex   patches and bugfixes. (Not actually required unless
+                there are some patches.)
 
 MetaPost/Metafont code:
 ----------------------
-*grafbase.dtx       Contains grafbase.mf, grafbase.mp and dvipsnam.mp
+*grafbase.mp    MetaPost macros supporting mfpic
+*dvipsnam.mp    Color definitions for MetaPost, input by grafbase.mp
+*grafbase.mf    Metafont macos supporting mfpic
 
 Documentation:
 -------------
+ changes.txt    Summary of 17 years of changes
+ install.txt    Basic information on installation
+ README         This file.
+ mfpguide.pdf   Precompiled tutorial (usletter paper size)
+ mfpic-doc.pdf  Precompiled manual   (usletter paper size)
+ mfpcard.pdf    Precompiled reference card (usletter, landscape).
+ mfpdoc.sty     LaTeX style used by the next two
+ mfpguide.tex   LaTeX source for mfpguide.pdf, requires mfpdoc.sty and
+                the mfpic package.
+ mfpic-doc.tex  LaTeX source for mfpic-doc.pdf, requires mfpdoc.sty.
+ coil.mps       Figure included in mfpic-doc.tex
+ mfpcard.tex    reference card source, should fit on two sides of
+                either USletter or A4, rotated. Plain TeX.
+
+Examples:
+--------
+ pictures.tex   Running tex on it produces pics.mp
+ lapictures.tex Running latex on it produces same pics.mp
+ data.dat       Sample data file needed for above two
+ forfun.tex     Example of \mfsrc: running tex on it produces fun.mp
 
- changes.txt        Summary of changes
- install.txt        Basic information on installation
- README             This file.
- mfpguide.pdf       Precompiled tutorial (usletter)
- mfpman.pdf         Precompiled manual   (usletter)
- mfpcard.pdf        Precompiled reference card (usletter landscape).
- src/mfpcard.tex    reference card source, should fit on two sides
-                    of either USletter or A4, rotated. Plain TeX.
- src/mfpdoc.sty     LaTeX style used by the next two
- src/mfpguide.tex   LaTeX source for mfpguide.pdf, requires mfpdoc.sty and mfpic
- src/mfpman.tex     LaTeX source for mfpman.pdf, requires mfpdoc.sty
- src/coil.mps       Figure included in mfpman.tex
-
- examples/pictures.tex    Run tex, produce pics.mf file
- examples/lapictures.tex  Run latex, produce pics.mf file (same)
- examples/data.dat        Sample data file needed for above two
- examples/forfun.tex      Example of \mfsrc: Run tex, produce forfun.mp
 
 This distribution, the latest updates, and some past versions, should also be
 available at my web site:
 
-    <http://comp.uark.edu/~luecking/tex/mfpic.html>.
-
-IMPORTANT NOTE
---------------
-A minor (I hope) backward incompatibility has been introduced:
-
-By historical accident, the MetaPost macros of mfpic (grafbase.mp) have
-overwritten the primitive MetaPost commands "dashed" and "clipped".
-With this version, these commands are no longer overwritten. The files
-written by mfpic have not contained "dashed" for over 6 years, and have
-never (I believe) contained "clipped".
+http://comp.uark.edu/~luecking/tex/mfpic.html
 
-However, if you learned enough about grafbase macros to use these
-commands, or if you try to run mpost on old files created by mfpic, you
-may need to change occurences of "clipped" to "Clipped" and change
-occurences of "dashed" to "Dashed". If you run mpost on files created
-for Metafont, there may be occurances of "clip" that need to be changed
-to "Clipped".
 
-Also, if you have been delving into mfpic internals, almost all internal
-commands have been renamed.
-
-NEW FEATURES since Version 0.8a
+NEW FEATURES since Version 0.9
 -------------------------------
- -- \arrowhead{<shape>} adds <shape> to head of a path.
- -- \arrowtail{<shape>} adds <shape> to tail of a path.
- -- \arrowmid {<shape>} adds <shape> to middle of a path.
-
- -- \zigzag, \sinewave, \coil: three new ways to render a path.
-
- -- \tlabel now allows a list of points even without mplabels.
-
- -- \border: a closed rectangle tracing the lines of the border axes.
-
- -- \startbacktext, \stopbacktext: Between these, labels are added in
-    the background; all other elements of the figure are on top of them.
-
- -- \axisline{<letter>}: the line (without arrowhead) that
-    \axis{<letter>} would draw.
-
- -- \griddotsize: a length command, the default size for dots in \grid.
-
- -- \vectorfield, a field of arrows determined by a formula in x and y.
- -- \plrvectorfield: vector formula is in polar variable r and t.
-
- -- \globalassignmfvalue: a global version of \assignmfvalue
-    (\global\assignmfvalue didn't work with mplabels).
-
- -- \globalsetmfvariable, a global version of \setmfvariable.
-
- -- \norender: a prefix macro that cancels automatic rendering.
-
- -- \everymfpic, \everyendmfpic: commands to add to the start/end of
-    every mfpic environment.
 
- -- \closedcurve = \cyclic (a possibly more easily remembered name).
- -- \closedconvexcurve = \convexcyclic
- -- \closedpolyline = \polygon
+ -- Color functions cmyk() and gray() produce colors in the cmyk and
+    grayscale color models, if the MetaPost version is at least 1.000.
+    Extensive changes needed in grafbase, almost none in mfpic itself.
+    Also cyan, magenta and yellow now predefined to be cmykcolor.
 
- -- \randomizepath: random changes to the nodes and controls of a path.
- -- \randomlines: connects randomly changed nodes with straight lines.
+ -- Color functions makecmyk, makergb and makegray force the conversion
+    of their argument to the indicated color model.
 
- -- \arc has a *-form that produces the complement of the arc that
-    would have been formed otherwise.
- -- \arccomplement, used in front of any arc, produces the
-    complementary arc. Arc need not be one produced by \arc.
+ -- Command \setfilenametemplate to set the file names for the graphics
+    output by MetaPost. Does not support putting the system time/date
+    in the name, even though MetaPost does.
 
- -- Loops (\mfploop, \mfpwhile and \mfpfor) are allowed outside mfpic
-    environments as long as no drawing commands are used in them.
+ -- Commands \mfmode and \mfresolution to set the Metafont printer mode
+    and resolution, if pictures are to be created by Metafont.
 
- -- \mfpbarchart, \mfppiechart: versions of \barchart, \piechart for use
-    outside \mfpic..\endmfpic. (Actual drawing must still be inside.)
+ -- Commands \cbeziers and \closedcbeziers. The cubic equivalents of
+    the quadratic \qbeziers and \closedqbeziers.
 
- -- Somewhat better cooperation with babel. Also better handling of
-    filenames with special characters.
+ -- Command \pshcircle produces a circle in the hyperbolic geometry of
+    the unit disk or (star form) the upper half-plane. If you don't
+    know what that means, don't worry, it's for complex function
+    theorists (like me).
 
- -- \useraggedcaptions (option raggedcaptions) sets multiline captions
-    (from \tcaption) raggedright. With centeredcaptions both sides are
-    ragged. \noraggedcaptions restores the default justified captions.
+ -- Command \brownianmotion simulates Brownian motion.
 
- -- centeredcaptions option corrected in LaTeX.
+ -- \mfpverbtex is now cumulative when used prior to \opengraphsfile.
 
+ -- Better(?) handling of the filename argument of \opengraphsfile.
 
---
-Dan Luecking  <luecking at uark dot edu>
+\sig
+Dan Luecking  (luecking at uark dot edu)
 Department of Mathematical Sciences
 University of Arkansas
 Fayetteville, Arkansas 72701-1201
diff --git a/Master/texmf-dist/doc/generic/mfpic/README.mfpic b/Master/texmf-dist/doc/generic/mfpic/README.mfpic
new file mode 100644
index 00000000000..42a2aa57bb0
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/mfpic/README.mfpic
@@ -0,0 +1,139 @@
+%%% File: README
+%%% A part of mfpic 1.00 2009/09/22
+%%%
+
+MFpic defines a command group \mfpic...\endmfpic (optionally in LaTeX
+an environment, mfpic) and drawing commands to be used inside this group.
+When TeX (or LaTeX) is run on a file containing those commands, a
+MetaPost (or Metafont) source file is created. When that file is correctly
+processed by MetaPost (or Metafont), and LaTeX or TeX is run again, the
+result is a figure in the TeX document at the location of each
+environment.
+
+See install.txt for initial setup and brief installation instructions.
+See mfpguide.pdf for a short tutorial. See below for a summary of
+features added since the previous official release (0.9). See the
+manual mfpic-doc.pdf for more detailed instructions and descriptions
+of features.
+
+This is mfpic version 1.00.
+
+LEGALITIES
+----------
+All files of the core mfpic distribution (listed below) may be
+distributed and/or modified under the conditions of the LaTeX Project
+Public License, either version 1.3c of this license or (at your option)
+any later version. The latest version of this license is in
+
+  http://www.latex-project.org/lppl.txt
+
+and version 1.3c or later is part of all distributions of LaTeX version
+2008/12/01 or later.
+
+While every effort has been made to make mfpic useful, it comes with no
+warranty, expressed or implied.
+
+MANIFEST
+--------
+Here is a list, plus explanation of purpose, of all files in the mfpic
+distribution. Read it *before* trying to process any of the example
+files. These, and the files generated by running tex on mfpic.ins,
+constitute the mfpic distribution to which the LPPL applies.
+
+The four files marked with * below are the only ones essential
+for using all the facilities of mfpic.
+
+All the *.tex files in the doc directory (except the plainTeX file
+mfpcard.tex) require the LaTeX style file mfpdoc.sty. The mfpic manual
+is mfpic-doc.pdf.
+
+Source files:
+------------
+*mfpic.dtx      Contains mfpic.sty and mfpic.tex
+*grafbase.dtx   Contains grafbase.mf, grafbase.mp and dvipsnam.mp
+*mfpic.ins      The unpacking script: run tex or latex on it. It reads
+                in mfpic.dtx and grafbase.dtx and produces the only
+                required run-time files: mfpic.sty, mfpic.tex,
+                grafbase.mf, grafbase.mp, and dvipsnam.mp
+
+TeX/LaTeX code:
+--------------
+*mfpic.tex      Basic TeX/LaTeX code
+*mfpic.sty      LaTeX2e \usepackage wrapper for mfpic.tex
+*mfppatch.tex   patches and bugfixes. (Not actually required unless
+                there are some patches.)
+
+MetaPost/Metafont code:
+----------------------
+*grafbase.mp    MetaPost macros supporting mfpic
+*dvipsnam.mp    Color definitions for MetaPost, input by grafbase.mp
+*grafbase.mf    Metafont macos supporting mfpic
+
+Documentation:
+-------------
+ changes.txt    Summary of 17 years of changes
+ install.txt    Basic information on installation
+ README         This file.
+ mfpguide.pdf   Precompiled tutorial (usletter paper size)
+ mfpic-doc.pdf  Precompiled manual   (usletter paper size)
+ mfpcard.pdf    Precompiled reference card (usletter, landscape).
+ mfpdoc.sty     LaTeX style used by the next two
+ mfpguide.tex   LaTeX source for mfpguide.pdf, requires mfpdoc.sty and
+                the mfpic package.
+ mfpic-doc.tex  LaTeX source for mfpic-doc.pdf, requires mfpdoc.sty.
+ coil.mps       Figure included in mfpic-doc.tex
+ mfpcard.tex    reference card source, should fit on two sides of
+                either USletter or A4, rotated. Plain TeX.
+
+Examples:
+--------
+ pictures.tex   Running tex on it produces pics.mp
+ lapictures.tex Running latex on it produces same pics.mp
+ data.dat       Sample data file needed for above two
+ forfun.tex     Example of \mfsrc: running tex on it produces fun.mp
+
+
+This distribution, the latest updates, and some past versions, should also be
+available at my web site:
+
+http://comp.uark.edu/~luecking/tex/mfpic.html
+
+
+NEW FEATURES since Version 0.9
+-------------------------------
+
+ -- Color functions cmyk() and gray() produce colors in the cmyk and
+    grayscale color models, if the MetaPost version is at least 1.000.
+    Extensive changes needed in grafbase, almost none in mfpic itself.
+    Also cyan, magenta and yellow now predefined to be cmykcolor.
+
+ -- Color functions makecmyk, makergb and makegray force the conversion
+    of their argument to the indicated color model.
+
+ -- Command \setfilenametemplate to set the file names for the graphics
+    output by MetaPost. Does not support putting the system time/date
+    in the name, even though MetaPost does.
+
+ -- Commands \mfmode and \mfresolution to set the Metafont printer mode
+    and resolution, if pictures are to be created by Metafont.
+
+ -- Commands \cbeziers and \closedcbeziers. The cubic equivalents of
+    the quadratic \qbeziers and \closedqbeziers.
+
+ -- Command \pshcircle produces a circle in the hyperbolic geometry of
+    the unit disk or (star form) the upper half-plane. If you don't
+    know what that means, don't worry, it's for complex function
+    theorists (like me).
+
+ -- Command \brownianmotion simulates Brownian motion.
+
+ -- \mfpverbtex is now cumulative when used prior to \opengraphsfile.
+
+ -- Better(?) handling of the filename argument of \opengraphsfile.
+
+\sig
+Dan Luecking  (luecking at uark dot edu)
+Department of Mathematical Sciences
+University of Arkansas
+Fayetteville, Arkansas 72701-1201
+U.S.A.
diff --git a/Master/texmf-dist/doc/generic/mfpic/changes.txt b/Master/texmf-dist/doc/generic/mfpic/changes.txt
index faedb731f78..9b50e3ed4b9 100644
--- a/Master/texmf-dist/doc/generic/mfpic/changes.txt
+++ b/Master/texmf-dist/doc/generic/mfpic/changes.txt
@@ -1,5 +1,5 @@
 %%% File: changes.txt
-%%% A part of mfpic 0.9 2006/05/26
+%%% A part of mfpic 1.00 2009/09/22
 %%%
 
                          Summaries of changes.
@@ -814,3 +814,76 @@ REVISION 0.90 01 Jun 2006
 
 Uploaded to CTAN
 
+REVISION 0.94 09 Sep 2009
+
+Added support for cmyk and grayscale color models that have been
+available in MetaPost since version 1.000.
+
+0.95
+Added support for filename setting: MetaPost 1.0's filenametemplate
+or 1.2's outputtemplate. Command \setfilenametemplate.
+
+0.96
+Added \mfresolution and \mfmode to set the resolution and/or mf mode
+(only for mfpic's metafont option).
+
+Added pseudohyperbolic circles, \pshcircle and pshcircle().
+
+0.97
+Changed all commands \setmf... that refer to variables in the .mf/.mp
+file (e.g., \setmfvariable \setmfarray, but not \setmfpicgraphic) to
+\set.... Added Easter egg.
+
+Store all 6 arguments of \@mfpic in macros \xfactor, \yfactor, \xmin,
+\xmax, \ymin and \ymax. Use these macros in \mfp@setconv instead of
+passing arguments. Same with \axislabels. Document them.
+
+0.98
+Added \cbeziers, \closedcbeziers and grafbase implementation cbezier and
+mkcbezier. Fixed bug in documentation of \qbeziers (no optional
+argument), and in implementation (less than ideal behavior when list is
+empty).
+
+Changed name of \assignmfvalue to \assignvalue, \globalassignmfvalue to
+\globalassignvalue. But recognize old names.
+
+Command name \setboolean is used by other packages: revert to old
+\..setmf.. commands (and for good measure revert \..assign.. to
+\..assignmf..).
+
+0.99
+Change forceclr so that if the argument is an unknown color of a
+particular model, it returns black _in that model_.
+
+Correct cmyk -> rgb conversion part of makergb to include the blackpart.
+Correct cmykgray(g) (now cmyk(0,0,0,1-g)).
+
+Add \mfpprelabel and \mfppostlabel, then remove them. When \mfpprelabel
+takes an argumemt, it doesn't work with \\ as the line breaker; it needs
+\cr.
+
+Add \brownianmotion (mfpic) and brownianpath (grafbase).
+
+Make \mfpverbtex cumulative before \opengraphsfile.
+
+1.00
+Rearranged the handling of color and color conversion. Added makegray.
+Corrected bug in rgbgray. Added rgbtogray, cmyktogray, rgbtocmyk and
+cmyktorgb. Added colorchoice.
+
+Improved the  message from assignmfvalue (incorrectly invoked figure
+number if used outside a picture).
+
+Simplify non-grafbase code in dvipsname.
+
+Rewrite \mfp@useMP to check for both supp-pdf.tex and supp-pdf.mkii
+under pdfTeX (sufficiently recent pdftex.def will do this under
+pdfLaTeX). Also have it check for both epsf.tex and epsf.sty under
+non-pdf, non-LaTeX (though both files should be identical).
+
+Rename mfpman.tex/pdf to mfpic-doc.tex/pdf.
+
+Prepared release mfpic100.zip, placed on personal web site.
+Prepared mfpic.tds.zip for release.
+
+
diff --git a/Master/texmf-dist/doc/generic/mfpic/data.dat b/Master/texmf-dist/doc/generic/mfpic/data.dat
index c93a1732c12..a8713ed42c0 100644
--- a/Master/texmf-dist/doc/generic/mfpic/data.dat
+++ b/Master/texmf-dist/doc/generic/mfpic/data.dat
@@ -1,5 +1,5 @@
 ### File: data.dat
-### A part of mfpic 0.9 2006/05/26
+### A part of mfpic 1.00 2009/09/22
 ###
 # A file of data to plot a function curve
 # ("#", not "%", must be comment character when this is read.)
diff --git a/Master/texmf-dist/doc/generic/mfpic/forfun.tex b/Master/texmf-dist/doc/generic/mfpic/forfun.tex
index 75dca0bd47f..1875c18d7be 100644
--- a/Master/texmf-dist/doc/generic/mfpic/forfun.tex
+++ b/Master/texmf-dist/doc/generic/mfpic/forfun.tex
@@ -1,5 +1,5 @@
 %%% File: forfun.tex
-%%% A part of mfpic 0.9 2006/05/26
+%%% A part of mfpic 1.00 2009/09/22
 %%%
 \nopagenumbers
 \input mfpic.tex
diff --git a/Master/texmf-dist/doc/generic/mfpic/install.txt b/Master/texmf-dist/doc/generic/mfpic/install.txt
index c20b18c76e2..886d65f1785 100644
--- a/Master/texmf-dist/doc/generic/mfpic/install.txt
+++ b/Master/texmf-dist/doc/generic/mfpic/install.txt
@@ -1,16 +1,20 @@
 %%% File: install.txt
-%%% A part of mfpic 0.9 2006/05/26
+%%% A part of mfpic 1.00 2009/09/22
 %%%
 
-This is version 0.9 of mfpic. See README.txt for a list of files and a
+This is version 1.00 of mfpic. See README.txt for a list of files and a
 brief description of each.
 
 Generating and installing the files
 -----------------------------------
 
+This sections is unnecessary if you just get mfpic.tds.zip, copy it to
+your local texmf directory , and unzip it there. You can find it on
+CTAN: /install/generic/mfpic.tds.zip
+
 -- Put mfpic.ins, mfpic.dtx and grafbase.dtx in the same temporary
-   directory and change to that directory. Run latex on mfpic.ins, which
-   should produce the five files
+   directory and change to that directory. Run latex (or tex) on
+   mfpic.ins, which should produce the five files
       mfpic.tex
       mfpic.sty
       grafbase.mf
@@ -35,11 +39,12 @@ Generating and installing the files
 -- Copy grafbase.mf where Metafont will find it. For example,
    $TEXMF/metafont/mfpic/ .
 
--- Copy mfpguide.pdf, mfpman.pdf. mfpcard.pdf where documentation is
+-- Copy mfpguide.pdf, mfpic-doc.pdf. mfpcard.pdf where documentation is
    kept. For example, $TEXMF/doc/generic/mfpic/ . Optionally, copy
-   src/*.* and examples/*.* either to the documentation area or to
-   the same place as mfpic.tex. Also optional: copy the two .dtx files
-   and mfpic.ins to the source area ($TEXMF/source/generic/mfpic/).
+   the .tex versions of these, plus mfpdoc.sty and coil.mps, as well as
+   and examples/*.* either to the documentation area or to the same
+   place as mfpic.tex. Also optional: copy the two .dtx files and
+   mfpic.ins to the source area ($TEXMF/source/generic/mfpic/).
 
 -- Some distributions might have a copy of the file grafbase.mf in the
    directory $TEXMF/fonts/public/mfpic. If so, delete it or replace it
@@ -47,12 +52,8 @@ Generating and installing the files
    version, put it someplace where mf and mpost will _not_ find it and
    arrange for that package to find it when necessary.
 
--- If required by your TeX system (MiKTeX, teTeX, fpTeX, XemTeX, and
-   TeXLive all DO require it):
-
-                *************************************
-                * UPDATE THE TeX FILENAME DATABASE! *
-                *************************************
+-- If required by your TeX system (MiKTeX, teTeX, MacTeX, and
+   TeXLive all DO require it): !!UPDATE THE TeX FILENAME DATABASE!!
 
 There is one optional step that may be useful (if you only wish to use
 mfpic to produce MetaPost pictures, you may skip this): find the file
@@ -64,7 +65,7 @@ Find near the end a line similar to
 Replace, if necessary, the string "ljfour" by one of the modes listed in
 that file. At minimum, select one whose resolution (DPI) matches your
 printer and/or the configuration of your dvi viewer. If you make such a
-change, regenerate the mf.base file (fmtutil on teTeX, fpTeX or TeXLive;
+change, regenerate the mf.base file (fmtutil on teTeX or TeXLive;
 MiKTeX Options in MiKTeX). On some systems this may be named plain.base.
 
 Read mfpguide.pdf before trying anything further. If you are already
@@ -88,28 +89,27 @@ area to the documentation area of your system.
 ------------------------------------------------------------------------
 
 If you desire to remake the mfpic manual (and why in the world would you
-be wanting to do a daft thing like that?), make sure mfpman.tex and
+be wanting to do a daft thing like that?), make sure mfpic-doc.tex and
 mfpdoc.sty are in the current directory or where LaTeX can find them.
 Make sure that coil.mps is also where LaTeX can find it. Edit, if you
-like, the paper size option in the \documentclass command in mfpman.tex.
-Make sure mfpdoc.sty is where LaTeX will find it. (The document uses
-Times for the main font family, LuxiMono for a typewriter font, and CMSS
-for a sans serif font. Packages mathptmx amd luximono are required.)
-Then run pdflatex three times:
+like, the paper size option in the \documentclass command in mfpic-doc.tex.
+(The document uses Times for the main font family, LuxiMono for a
+typewriter font, and CMSS for a sans serif font. Packages mathptmx amd
+luximono are required.) Then run pdflatex three times:
 
-    pdflatex mfpman    (Hundreds of undefined labels messages)
-    pdflatex mfpman    (Labels have changed message)
-    pdflatex mfpman    (All resolved)
+    pdflatex mfpic-doc    (Hundreds of undefined labels messages)
+    pdflatex mfpic-doc    (Labels have changed message)
+    pdflatex mfpic-doc    (All resolved)
 
 Now page numbers should be correct in the index, so run makeindex:
 
-    makeindex -o mfpman.ind mfpman.idx
+    makeindex -o mfpic-doc.ind mfpic-doc.idx
 
-(or just "makeindex mfpman" on many systems) then run latex two more
+(or just "makeindex mfpic-doc" on many systems) then run latex two more
 times:
 
-    pdflatex mfpman    (mfpman.toc now has index added)
-    pdflatex mfpman    (Document toc now correct)
+    pdflatex mfpic-doc    (mfpic-doc.toc now has index added)
+    pdflatex mfpic-doc    (Document toc now correct)
 
 You can use latex instead of pdflatex, but you won't get clickable links
 in the result. (I was too lazy to make that work.)
@@ -128,11 +128,11 @@ this compulsion passes.)
 
 And finally, if you forgot:
 
-                !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+                **************************************
                 !! UPDATE THE TeX FILENAME DATABASE !!
-                !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+                **************************************
 
---
+\sig
 Dan Luecking  (luecking at uark dot edu)
 Department of Mathematical Sciences
 University of Arkansas
diff --git a/Master/texmf-dist/doc/generic/mfpic/lapictures.tex b/Master/texmf-dist/doc/generic/mfpic/lapictures.tex
index ec637dccaeb..0b5303289c6 100644
--- a/Master/texmf-dist/doc/generic/mfpic/lapictures.tex
+++ b/Master/texmf-dist/doc/generic/mfpic/lapictures.tex
@@ -1,5 +1,5 @@
 %%% File: lapictures.tex
-%%% A part of mfpic 0.9 2006/05/26
+%%% A part of mfpic 1.00 2009/09/22
 %%%
 % Magnify to same scale as pictures.tex :
 % (Use of \mag is against the law of LaTeX, but Bugs Bunny set a precedent.)
diff --git a/Master/texmf-dist/doc/generic/mfpic/mfpcard.pdf b/Master/texmf-dist/doc/generic/mfpic/mfpcard.pdf
index b645f027e42..3eee3ae8b99 100644
--- a/Master/texmf-dist/doc/generic/mfpic/mfpcard.pdf
+++ b/Master/texmf-dist/doc/generic/mfpic/mfpcard.pdf
diff --git a/Master/texmf-dist/doc/generic/mfpic/mfpcard.tex b/Master/texmf-dist/doc/generic/mfpic/mfpcard.tex
index 3f1a16a9a39..1cbd58fb29d 100644
--- a/Master/texmf-dist/doc/generic/mfpic/mfpcard.tex
+++ b/Master/texmf-dist/doc/generic/mfpic/mfpcard.tex
@@ -1,5 +1,5 @@
 %%% File: mfpcard.tex
-%%% A part of mfpic 0.9 2006/05/26
+%%% A part of mfpic 1.00 2009/09/22
 %%%
 % (Ask your driver to print so that longer dimension is horizontal.)
 \newdimen\paperlongside
@@ -199,9 +199,9 @@
 
 \title{MFPIC Quick Reference}
 
-\centerline{(Copyright 2000--2006 by Daniel Luecking)}
+\centerline{(Copyright 2000--2009 by Daniel Luecking)}
 \medskip
-This information was prepared for version 0.9 of \prog{mfpic}.
+This information was prepared for version 1.00 of \prog{mfpic}.
 
 \section{Preamble commands}
 
@@ -408,7 +408,7 @@ followed by a number for the tension.
 \def\secondkeyfrac{.55}
 
 Curves are not necessarily `closed' even if the start and end are the
-same. The following are closed (may be filled), as are \cs{rect},
+same. The following are closed (can be filled), as are \cs{rect},
 \cs{polygon}, \cs{circle}, and \cs{ellipse}.
 
 \smallskip
@@ -456,7 +456,7 @@ same. The following are closed (may be filled), as are \cs{rect},
 \def\firstkeyfrac{.45}
 \def\secondkeyfrac{.55}
 
-These turn any path into a `closed' path (result may be filled).
+These turn any path into a `closed' path (result can then be filled).
 
 \smallskip
 \describe{Close with a straight line,}{\cs{lclosed}$\ldots$}
@@ -468,7 +468,7 @@ These turn any path into a `closed' path (result may be filled).
 \def\firstkeyfrac{.4}
 \def\secondkeyfrac{.6}
 
-These filling prefixes turn off drawing of the curve.
+These filling prefixes turn off automatic drawing of the curve.
 
 \smallskip
 \describe{Solid fill} {\cs{gfill}\oarg{\meta{color}}$\ldots$}
@@ -500,9 +500,9 @@ These filling prefixes turn off drawing of the curve.
 
 \subsection{Subpaths}
 
-\describe{Subpath by fraction of length}
+\describe{Subpath by fractions of length}
         {\cs{partpath}\marg{\meta{frac1},\meta{frac2}}$\ldots$}
-\describe{Subpath by node number} {\cs{subpath}\marg{\meta{m},\meta{n}}$\ldots$}
+\describe{Subpath by node numbers} {\cs{subpath}\marg{\meta{m},\meta{n}}$\ldots$}
 \describe{Cutting by another path}
         {\cs{cutoffafter}\marg{\meta{obj}}$\ldots$,
         \cs{cutoffbefore}\marg{\meta{obj}}$\ldots$.\brk
diff --git a/Master/texmf-dist/doc/generic/mfpic/mfpdoc.sty b/Master/texmf-dist/doc/generic/mfpic/mfpdoc.sty
index 46c2077ca96..75b57d8c6ff 100644
--- a/Master/texmf-dist/doc/generic/mfpic/mfpdoc.sty
+++ b/Master/texmf-dist/doc/generic/mfpic/mfpdoc.sty
@@ -1,7 +1,7 @@
 %%% File: mfpdoc.sty
-%%% A part of mfpic 0.9 2006/05/26
+%%% A part of mfpic 1.00 2009/09/22
 %%%
-\ProvidesPackage{mfpdoc}[2006/05/26 v0.9 macros for mfpic documentation]
+\ProvidesPackage{mfpdoc}[2009/09/22 v1.00 macros for mfpic documentation]
 
 \newif\if@chapters
 \@chaptersfalse
@@ -21,16 +21,16 @@
      \pdftrue
    \fi\fi\fi}
 
-\newcommand\mfpversion{0.9}
-\newcommand\mfpdate   {2006/05/26}
+\newcommand\mfpversion{1.00}
+\newcommand\mfpdate   {2009/09/22}
 
 %% Text size:
 
-\textwidth 5.5 in
-\textheight7.5 in
-\oddsidemargin  .5in
+\textwidth  5.5in
+\textheight 8.0in
+\oddsidemargin 0.5in
 \evensidemargin\oddsidemargin
-\topmargin .75in
+\topmargin 0.5in
   \advance\topmargin-\headheight
   \advance\topmargin-\headsep
 
@@ -142,7 +142,7 @@
 %% examples:
 \newenvironment{ex}
  {\par\addvspace{1ex plus.2ex minus.1ex}%
-   \parindent0pt
+  \parindent0pt
    \vbox\bgroup\hsize\textwidth
      \leftskip\leftmargini
      \def\ {\leavevmode\null\quad}}
@@ -152,6 +152,7 @@
 %% verbatim:
 \RequirePackage{verbatim}
 \def\verbatim@processline{\hspace{\leftmargini}\the\verbatim@line\par}
+\addto@hook\every@verbatim{\predisplaypenalty\@M}
 
 %% other:
 \newenvironment{display}{\list{}{}\item[]}{\endlist}
@@ -210,6 +211,7 @@
 \let\email\file
 \let\mail \file
 \let\dim  \file                         % TeX and Metafont dimensions
+\let\kw   \opt                          % MF key word like numeric
 
 \edef\otherbackslash{\expandafter\@gobble\string\\}
 \DeclareRobustCommand\cs[1]{\mytt{\char`\\#1}}
diff --git a/Master/texmf-dist/doc/generic/mfpic/mfpguide.pdf b/Master/texmf-dist/doc/generic/mfpic/mfpguide.pdf
index 2bed5cc99e2..70e2e9cf3a0 100644
--- a/Master/texmf-dist/doc/generic/mfpic/mfpguide.pdf
+++ b/Master/texmf-dist/doc/generic/mfpic/mfpguide.pdf
diff --git a/Master/texmf-dist/doc/generic/mfpic/mfpguide.tex b/Master/texmf-dist/doc/generic/mfpic/mfpguide.tex
index 1a12dbfc49b..402a2859704 100644
--- a/Master/texmf-dist/doc/generic/mfpic/mfpguide.tex
+++ b/Master/texmf-dist/doc/generic/mfpic/mfpguide.tex
@@ -1,5 +1,5 @@
 %%% File: mfpguide.tex
-%%% A part of mfpic 0.9 2006/05/26
+%%% A part of mfpic 1.00 2009/09/22
 %%%
 %  Tutorial on mfpic
 \documentclass[letterpaper]{article}
@@ -149,7 +149,7 @@ One thing you might notice about figure~\ref{fig1} is that the ellipse
 is positioned quite a bit above the base line of the text. This is
 because \mfp{} reserves the amount of space specified in the arguments
 of the \env{mfpic} environment. These arguments are
-\verb$[72]{-1}{1}{-1}{1}$, which means the each unit in the picture is
+\verb$[72]{-1}{1}{-1}{1}$, which means that each unit in the picture is
 72 times the value of \cs{mfpicunit}, that is, about one inch. The first
 pair of mandatory arguments, \verb${-1}{1}$, indicate the
 $x$-coordinates run from $-1$ to $1$. Since these differ by 2, they
@@ -207,7 +207,7 @@ sit on) placed at $(0,0)$.
 
 You are no doubt thinking: ``The ellipse doesn't really match the
 text. What you need is some macro that measures the text and produces an
-oval with similar domensions.'' For that we have the \cs{tlabeloval}
+oval with similar dimensions.'' For that we have the \cs{tlabeloval}
 command. The \cs{tlabeljustify} command in the example below is to
 communicate to both the text placement and the curve generation
 procedures that they are to be centered at the point $(0,0)$. (We'll see
@@ -324,7 +324,7 @@ all the preceding macros; therefore the text ends up on top of
 everything else. The \cs{tlabeloval} command also has a \mbox{`*-form'} that
 does everything \emph{except} place the text. Finally, ovals are not the
 only thing that can be used to surround text. See the manual
-(\file{mfpman.pdf}) and below for others.
+(\file{mfpic-doc.pdf}) and below for others.
 
 Here is a more common use of \verb$tlabel$ commands: labeling a graph
 and axes. In the following example we have given \cs{tlabel} the option
@@ -1150,7 +1150,7 @@ Anyway, here are a few examples, illustrating the use of \cs{arrow}, and
 some of its optional arguments.
 \begin{verbatim}
 \begin{mfpic}{0}{4}{0}{4}
-  \arrow[r-5]\circle{(1,1),.5}
+  \arrow[r5]\circle{(1,1),.5}
   \arrow[b4pt]\arrow\polyline{(3,2),(3,0)}
   \arrow[cred]\reverse\arrow\polyline{(0,3),(2,3)}
   \arrow[l 5pt]\rect{(4,2),(2,4)}
diff --git a/Master/texmf-dist/doc/generic/mfpic/mfpic-doc.pdf b/Master/texmf-dist/doc/generic/mfpic/mfpic-doc.pdf
new file mode 100644
index 00000000000..615b566057c
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/mfpic/mfpic-doc.pdf
@@ -0,0 +1,15714 @@
+%PDF-1.4
+%ÐÔÅØ
+1 0 obj
+<< /S /GoTo /D (section.1) >>
+endobj
+4 0 obj
+(Introduction)
+endobj
+5 0 obj
+<< /S /GoTo /D (subsection.1.1) >>
+endobj
+8 0 obj
+(Why?)
+endobj
+9 0 obj
+<< /S /GoTo /D (subsection.1.2) >>
+endobj
+12 0 obj
+(Who?)
+endobj
+13 0 obj
+<< /S /GoTo /D (subsection.1.3) >>
+endobj
+16 0 obj
+(What?)
+endobj
+17 0 obj
+<< /S /GoTo /D (subsection.1.4) >>
+endobj
+20 0 obj
+(How?)
+endobj
+21 0 obj
+<< /S /GoTo /D (section.2) >>
+endobj
+24 0 obj
+(Options.)
+endobj
+25 0 obj
+<< /S /GoTo /D (subsection.2.1) >>
+endobj
+28 0 obj
+(metapost, metafont, \usemetapost , \usemetafont .)
+endobj
+29 0 obj
+<< /S /GoTo /D (subsection.2.2) >>
+endobj
+32 0 obj
+(mplabels, \usemplabels , \nomplabels .)
+endobj
+33 0 obj
+<< /S /GoTo /D (subsection.2.3) >>
+endobj
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+(overlaylabels, \overlaylabels , \nooverlaylabels .)
+endobj
+37 0 obj
+<< /S /GoTo /D (subsection.2.4) >>
+endobj
+40 0 obj
+(truebbox, \usetruebbox , \notruebbox .)
+endobj
+41 0 obj
+<< /S /GoTo /D (subsection.2.5) >>
+endobj
+44 0 obj
+(clip, \clipmfpic , \noclipmfpic .)
+endobj
+45 0 obj
+<< /S /GoTo /D (subsection.2.6) >>
+endobj
+48 0 obj
+(centeredcaptions, \usecenteredcaptions , \nocenteredcaptions .)
+endobj
+49 0 obj
+<< /S /GoTo /D (subsection.2.7) >>
+endobj
+52 0 obj
+(raggedcaptions, \useraggedcaptions , \noraggedcaptions .)
+endobj
+53 0 obj
+<< /S /GoTo /D (subsection.2.8) >>
+endobj
+56 0 obj
+(debug, \mfpicdebugtrue , \mfpicdebugfalse .)
+endobj
+57 0 obj
+<< /S /GoTo /D (subsection.2.9) >>
+endobj
+60 0 obj
+(clearsymbols, \clearsymbols , \noclearsymbols .)
+endobj
+61 0 obj
+<< /S /GoTo /D (subsection.2.10) >>
+endobj
+64 0 obj
+(draft, final, nowrite, \mfpicdraft , \mfpicfinal , \mfpicnowrite .)
+endobj
+65 0 obj
+<< /S /GoTo /D (subsection.2.11) >>
+endobj
+68 0 obj
+(mfpreadlog, \mfpreadlog .)
+endobj
+69 0 obj
+<< /S /GoTo /D (subsection.2.12) >>
+endobj
+72 0 obj
+(Scoping Rules.)
+endobj
+73 0 obj
+<< /S /GoTo /D (section.3) >>
+endobj
+76 0 obj
+(Metafont and Metapost Data Types.)
+endobj
+77 0 obj
+<< /S /GoTo /D (subsection.3.1) >>
+endobj
+80 0 obj
+(Numerics and pairs.)
+endobj
+81 0 obj
+<< /S /GoTo /D (subsection.3.2) >>
+endobj
+84 0 obj
+(Colors.)
+endobj
+85 0 obj
+<< /S /GoTo /D (subsection.3.3) >>
+endobj
+88 0 obj
+(Paths, pictures and booleans.)
+endobj
+89 0 obj
+<< /S /GoTo /D (section.4) >>
+endobj
+92 0 obj
+(The Macros.)
+endobj
+93 0 obj
+<< /S /GoTo /D (subsection.4.1) >>
+endobj
+96 0 obj
+(Files and Environments.)
+endobj
+97 0 obj
+<< /S /GoTo /D (subsection.4.2) >>
+endobj
+100 0 obj
+(Common objects.)
+endobj
+101 0 obj
+<< /S /GoTo /D (subsubsection.4.2.1) >>
+endobj
+104 0 obj
+(Points, lines, and rectangles)
+endobj
+105 0 obj
+<< /S /GoTo /D (subsubsection.4.2.2) >>
+endobj
+108 0 obj
+(A word about list arguments)
+endobj
+109 0 obj
+<< /S /GoTo /D (subsubsection.4.2.3) >>
+endobj
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+(Axes, axis marks, and grids)
+endobj
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+<< /S /GoTo /D (subsubsection.4.2.4) >>
+endobj
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+(Circles, arcs and ellipses)
+endobj
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+<< /S /GoTo /D (subsubsection.4.2.5) >>
+endobj
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+(Curves)
+endobj
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+<< /S /GoTo /D (subsubsection.4.2.6) >>
+endobj
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+(Bar charts and pie charts)
+endobj
+125 0 obj
+<< /S /GoTo /D (subsection.4.3) >>
+endobj
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+(Colors in mfpic.)
+endobj
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+endobj
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+(Metapost color functions)
+endobj
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+<< /S /GoTo /D (subsubsection.4.3.2) >>
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+(Establishing mfpic default colors)
+endobj
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+(Defining a color name)
+endobj
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+endobj
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+(Metafont colors)
+endobj
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+endobj
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+<< /S /GoTo /D (subsubsection.4.4.3) >>
+endobj
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+(Arrows)
+endobj
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+<< /S /GoTo /D (subsection.4.5) >>
+endobj
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+(Rendering figures.)
+endobj
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+<< /S /GoTo /D (subsubsection.4.5.1) >>
+endobj
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+endobj
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+<< /S /GoTo /D (subsubsection.4.5.2) >>
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+endobj
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+(Examples)
+endobj
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+endobj
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+endobj
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+(Labels and Captions.)
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+endobj
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+(Picture Frames.)
+endobj
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+endobj
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+endobj
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+endobj
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+<< /S /GoTo /D (subsubsection.4.10.2) >>
+endobj
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+(Transforming paths)
+endobj
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+<< /S /GoTo /D (subsection.4.11) >>
+endobj
+232 0 obj
+(Parameters.)
+endobj
+233 0 obj
+<< /S /GoTo /D (subsection.4.12) >>
+endobj
+236 0 obj
+(For Advanced Users.)
+endobj
+237 0 obj
+<< /S /GoTo /D (subsubsection.4.12.1) >>
+endobj
+240 0 obj
+(Splines)
+endobj
+241 0 obj
+<< /S /GoTo /D (subsubsection.4.12.2) >>
+endobj
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+(B\351ziers)
+endobj
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+(Raw Metafont code)
+endobj
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+endobj
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+(Creating Metafont variables)
+endobj
+253 0 obj
+<< /S /GoTo /D (subsubsection.4.12.5) >>
+endobj
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+(Miscelaneous pair expressions)
+endobj
+257 0 obj
+<< /S /GoTo /D (subsubsection.4.12.6) >>
+endobj
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+(Manipulating Metafont picture variables)
+endobj
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+<< /S /GoTo /D (subsubsection.4.12.7) >>
+endobj
+264 0 obj
+(Metafont loops)
+endobj
+265 0 obj
+<< /S /GoTo /D (subsubsection.4.12.8) >>
+endobj
+268 0 obj
+(Miscellaneous)
+endobj
+269 0 obj
+<< /S /GoTo /D (section.5) >>
+endobj
+272 0 obj
+(Appendices)
+endobj
+273 0 obj
+<< /S /GoTo /D (subsection.5.1) >>
+endobj
+276 0 obj
+(Acknowledgements.)
+endobj
+277 0 obj
+<< /S /GoTo /D (subsection.5.2) >>
+endobj
+280 0 obj
+(Changes History.)
+endobj
+281 0 obj
+<< /S /GoTo /D (subsection.5.3) >>
+endobj
+284 0 obj
+(Summary of Options.)
+endobj
+285 0 obj
+<< /S /GoTo /D (subsection.5.4) >>
+endobj
+288 0 obj
+(Plotting Styles for \plotdata .)
+endobj
+289 0 obj
+<< /S /GoTo /D (subsection.5.5) >>
+endobj
+292 0 obj
+(Special Considerations When Using Metafont.)
+endobj
+293 0 obj
+<< /S /GoTo /D (subsection.5.6) >>
+endobj
+296 0 obj
+(Special Considerations When Using Metapost.)
+endobj
+297 0 obj
+<< /S /GoTo /D (subsubsection.5.6.1) >>
+endobj
+300 0 obj
+(Required support)
+endobj
+301 0 obj
+<< /S /GoTo /D (subsubsection.5.6.2) >>
+endobj
+304 0 obj
+(Metapost is not Metafont)
+endobj
+305 0 obj
+<< /S /GoTo /D (subsubsection.5.6.3) >>
+endobj
+308 0 obj
+(Graphic inclusion)
+endobj
+309 0 obj
+<< /S /GoTo /D (subsection.5.7) >>
+endobj
+312 0 obj
+(Mfpic and the Rest of the World.)
+endobj
+313 0 obj
+<< /S /GoTo /D (subsubsection.5.7.1) >>
+endobj
+316 0 obj
+(The literature)
+endobj
+317 0 obj
+<< /S /GoTo /D (subsubsection.5.7.2) >>
+endobj
+320 0 obj
+(Other programs)
+endobj
+321 0 obj
+<< /S /GoTo /D (subsection.5.8) >>
+endobj
+324 0 obj
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+trailer
+<< /Size 2064
+/Root 2062 0 R
+/Info 2063 0 R
+/ID [<2CC5733293B73571013CD3AFE7B4FF18> <2CC5733293B73571013CD3AFE7B4FF18>] >>
+startxref
+723710
+%%EOF
diff --git a/Master/texmf-dist/doc/generic/mfpic/mfpman.tex b/Master/texmf-dist/doc/generic/mfpic/mfpic-doc.tex
index 5a0e1955663..bee22641385 100644
--- a/Master/texmf-dist/doc/generic/mfpic/mfpman.tex
+++ b/Master/texmf-dist/doc/generic/mfpic/mfpic-doc.tex
@@ -1,5 +1,5 @@
-%%% File: mfpman.tex
-%%% A part of mfpic 0.9 2006/05/26
+%%% File: mfpic-doc.tex
+%%% A part of mfpic 1.00 2009/09/22
 %%%
 %  Documentation of mfpic macros
 \documentclass[letterpaper]{article}
@@ -9,7 +9,7 @@
 \usepackage{mathptmx}
 \usepackage[scaled=.85]{luximono}
 \renewcommand\sfdefault{cmss}
-
+\newcommand\sgn{\mathop{\mathrm{sgn}}\nolimits}
 % Fake chapters (really sections):
 \usepackage[chapters]{mfpdoc}
 \pagestyle{mfpdoc}
@@ -99,7 +99,7 @@ compatible with \MF{}.
 
 \section{Who?}\label{author}
 
-The original \Mfp{} (and the core of the current version) was written
+The original \mfp{} (and still the core of the current version) was written
 primarily by Tom Leathrum during the late (northern hemisphere) spring
 and summer of 1992, while at Dartmouth College. Different versions were
 being written and tested for nearly two years after that, during which
@@ -144,7 +144,7 @@ in the accompanying file \file{mfpguide.pdf}. If you use \mfp{} to
 produce \MP{} figures the process is straightforward: run \TeX{} (or
 \LaTeX), then \MP{}, then \TeX{} again. If there are no errors, then
 \prog{dvips} or other DVI-to-PS converter can be run to produce
-viewable\slash printable output. You can also run \prog{dvipdfm} to obtain PDF
+viewable\slash printable output. You can also run \prog{dvipdfm(x)} to obtain PDF
 output, or even use \pdfTeX{} instead of \TeX{} (or \pdfLaTeX{} instead
 of \LaTeX{}) to get PDF output directly.
 
@@ -166,14 +166,14 @@ Typically, you just type
 \begin{verbatim}
 mpost pics.mp
 \end{verbatim}
-(or possibly "\verb$mp pics.mp$").
+(or possibly "\verb$mp pics.mp$", but try \verb$mpost$ first).
 
 This produces files \file{pics.1}, \file{pics.2}, etc., the number of
 files depending on the version of \file{pictures.tex}. You then
-reprocessing \file{pictures.tex} with \TeX{} to produce a DVI file. This
+reprocess \file{pictures.tex} with \TeX{} to produce a DVI file. This
 file can then be processed with \prog{dvips} (for example) to produce
 \PS{} output which can be printed or viewed. One can also process the
-DVI with \prog{dvipdfm} to produce a PDF file.
+DVI with \prog{dvipdfm(x)} to produce a PDF file.
 
 If \pdfTeX{} is used instead of \TeX{} on the second run, you should be
 able to view the resulting PDF file immediately, without any further
@@ -189,8 +189,8 @@ should do whatever is necessary (perhaps nothing!) to insure that \TeX{}
 looks in the current directory for \file{.tfm} files, and that your DVI
 drivers look in the current directory for \file{.pk} files. There may
 also be some setup needed to ensure that the \file{.pk} files are
-created at a resolution that matches your printer's. See the discussion
-in \file{mfpguide.pdf}.
+created at a resolution that matches that of your printer and of your DVI
+viewer. See the discussion in \file{mfpguide.pdf}.
 
 If you want to test this process on the supplied sample files, edit
 \file{pictures.tex} removing the \cs{usemetapost} command (or edit
@@ -261,7 +261,7 @@ There are also somewhat subtle circumstance under which you can skip the
 second \TeX{} step after editing a figure if the file  has already gone
 through the above process. Delineating the exact cirumstances is rather
 involved, so it is recommended that you always repeat the \TeX{} step if
-changes have been made to any figure.
+you have made changes that affect any figure.
 
 What makes \mfp{} work? When you run \TeX{} on the file
 \file{pictures.tex}, the \mfp{} macros issue \TeX{} \cs{write} commands,
@@ -327,24 +327,26 @@ distribution, and will be used to implement minor corrections when bugs
 are found. The user should \emph{not} modify this file unless
 he really knows what he is doing.
 
-\section{\opt{metapost}, \cs{usemetapost}.}\label{metapost}
-\index{metapost@\opt{metapost}}%
-\index{usemetapost@\cs{usemetapost}}
-
-Selects \MP{} as the figure processor and makes specific features
-available. It changes the extension used on the output file to
-\file{.mp} to signal that it can no longer be processed with \MF{}. There
-is also a \opt{metafont} option (command \cs{usemetafont}), but it is
-redundant, as \MF{} is the default. Either command must come before the
+\section{\opt{metapost}, \opt{metafont}, \cs{usemetapost}, \cs{usemetafont}.}%
+\label{metapost}\index{metapost@\opt{metapost}}\index{usemetapost@\cs{usemetapost}}%
+\index{metafont@\opt{metafont}}\index{usemetafont@\cs{usemetafont}}
+
+The option \opt{metapost} or the command \cs{usemetapost} selects \MP{}
+as the figure processor and makes specific features available. It
+changes the extension used on the output file to `\file{.mp}' to signal
+that it can no longer be processed with \MF{}. There is also a
+\opt{metafont} option (command \cs{usemetafont}), but it is redundant,
+as \MF{} is the default (for backward compatibility of files written
+before \MP{} existed). Either command must come before the
 \cs{opengraphsfile} command (see section~\ref{files}). They should not
-be used together in the same document. (Actually, they can but one needs
+be used together in the same document. (Actually they can, but one needs
 to close one output file and open another. Moreover, it hasn't ever been
 seriously tested, and it wasn't taken into consideration in writing most
 of the macros.) If the command form \cs{usemetapost} is used in a
 \LaTeXe{} document, it must come in the preamble. Because of the timing
 of actions by the \prog{babel} package and by older versions of
 \file{supp-pdf.tex} (input by \file{pdftex.def} in the \prog{graphics}
-package), when \pdfLaTeX{} is used \mfp{} should be loaded and
+package), when \pdfLaTeX{} is used, \mfp{} should be loaded and
 \cs{usemetapost} (if used) declared before \prog{babel} is loaded.
 
 
@@ -360,13 +362,16 @@ file. It effects only labels on the figure, not a caption added by the
 handled by \MP{} and can be rotated. It requires \MP{}, and will be be
 ignored without it (\MF{} cannot handle labels). Using this option
 without the \opt{metapost} option may also produce an error message
-either from \TeX{} or \MF{}. The commands forms can be placed anywhere
-and they affect subsequent \cs{tlabel} commands. When this is in effect,
-the labels become part of the figure and, in the default handling, they
-may be clipped off or covered up by later drawing elements. But see the
-next section on the \opt{overlaylabels} option. Labels added to a
-picture contribute to the bounding box even if \opt{truebbox} is not in
-effect.
+either from \TeX{} or \MF{}. The command forms can be placed anywhere.
+If used outside an mfpic environment, they affect all subsequent
+\cs{tlabel} commands; inside an mfpic environment they affect all
+\cs{tlabel} commands in that figure.
+
+When this is in effect, the labels become part of the figure and, in the
+default handling, they may be clipped off or covered up by later drawing
+elements. But see the next section on the \opt{overlaylabels} option.
+Labels added to a picture contribute to the bounding box even if
+\opt{truebbox} is not in effect.
 
 The user is responsible for adding the appropriate \mfc{verbatimtex}
 header to the output file if necessary. For this purpose, there is the
@@ -378,7 +383,6 @@ preamble of \LaTeX{} code take care to make sure \MP{} calls \LaTeX{}
 purpose, or an environmental variable named \texttt{TEX} may be set
 equal to \texttt{latex} in the command shell of your operating system.).
 
-
 \section{\opt{overlaylabels}, \cs{overlaylabels}, \cs{nooverlaylabels}.}
 \label{overlaylabels}
 \index{overlaylabels@\opt{overlaylabels}}%
@@ -406,6 +410,10 @@ simpler to code, so I experimented with it and rejected it as a default,
 but now offer it as an option. With this option, \mfp{} labels have
 almost the same behavior with or without \opt{mplabels}.
 
+The commands may be used anywhere. Outside a figure they affect all
+subsequent figures, inside a figure they affect all subsequent text in
+that figure. The commands and option are ignored under the metafont
+option.
 
 \section{\opt{truebbox}, \cs{usetruebbox},
 \cs{notruebbox}.}\label{truebbox}
@@ -424,6 +432,11 @@ is used in an \env{mfpic} environment, it affects only that environment,
 otherwise it affects all subsequent figures. This option currently has
 no effect with \MF{}, but should cause no errors.
 
+This option is almost mandatory if you wish to use \prog{dvipdfm(x)} to
+convert \TeX{}'s DVI output to PDF. Both \prog{dvipdfm} and
+\prog{dvipdfmx} have a tendency to clip \MP{} figures to the stated
+bounding box. Thus, anything running outside those bounds is lost.
+
 
 \section{\opt{clip}, \cs{clipmfpic}, \cs{noclipmfpic}.}\label{clip}
 \index{clip@\opt{clip}}%
@@ -612,7 +625,7 @@ inclusion code.
 
 
 \clearpage
-\chapter{\CMF{} Data Types.}\label{types}
+\chapter{\CMF{} and \CMP{} Data Types.}\label{types}
 
 Since the arguments of most \mfp{} drawing commands are sent to \MF{} to
 be interpreted, it's useful to know something about \MF{} concepts. In
@@ -623,24 +636,27 @@ section can be read when the user wants to manipulate more complex
 objects.
 
 \CMF{} permits  several different data types, and we will mainly be
-concerned with six of these: numeric, pair, color (\MP{} only), path,
-picture and boolean.%
-    \footnote{For the curious, there are a total of eight
-    types (nine for \MP{}). The other three are string, transform and pen.
-    \MF{} also permits expressions that produce nothing, which is sometimes
-    called the vacuous type, but doesn't allow for (or need) variables of
-    this type.}
-
-A \emph{variable} is a symbolic name such as \mfc{A} or
-\mfc{incenter}. Any sequence of letters and underscores is permitted
-as a variable name. Numeric indexes are also allowed, provided all
-variables that differ only in the index have the same type. Thus
-\mfc{A1}, \mfc{A2}, etc., might be variables which are all of type pair.
-Quite a lot more is permited for variable names, but the rules are
-rather complex and easy to violate. \Mfp{} has commands for creating
-both simple variables and indexed variables (called \emph{arrays}) but
-the casual user can get quite a lot of use out of \mfp{} without ever
-creating or using a \MF{} variable.
+concerned with six of these: \kw{numeric}, \kw{pair}, \kw{color} (\MP{}
+only), \kw{path}, \kw{picture} and \kw{boolean}.%
+    \footnote{For the curious, there are a total of eight types (nine or
+    ten for \MP{}). The other three are \kw{string}, \kw{transform} and
+    \kw{pen}. \MF{} also permits expressions that produce nothing, which
+    is sometimes called the vacuous type, but doesn't allow (or need)
+    variables of this type.}
+In \MP{} version 1.000, a tenth data type was added, \kw{cmykcolor}, and
+the \kw{color} data type can be referred to as `\kw{rgbcolor}' when a
+distinction is necessary.
+
+A \emph{variable} is a symbolic name, which can be a single letter such
+as \mfc{A}, or a descriptive name like \mfc{origin}. Any sequence of
+letters and underscores is permitted as a variable name. Numeric indexes
+are also allowed, provided all variables that differ only in the index
+have the same type. Thus \mfc{A1}, \mfc{A2}, etc., might be variables
+which are all of type \kw{pair}. Quite a lot more is permited for variable
+names, but the rules are rather complex and easy to violate. \Mfp{} has
+commands for creating both simple variables and indexed variables
+(called \emph{arrays}) but the casual user can get quite a lot of use
+out of \mfp{} without ever creating or using a \MF{} variable.
 
 \CMF{} also has something akin to functions. For example, \mfc{sin(1.57)}
 might represent a function named \mfc{sin} receiving the parameter
@@ -650,20 +666,20 @@ can take any number of parameters and return any of the data types that
     \footnote{Including the vacuous type.}
 
 
-\section{\CMF{} numerics and pairs.}\label{pairs}
+\section{Numerics and pairs.}\label{pairs}
 
-\CMF{} has numeric quantities. These include lengths, such as the radius
-of a circle, as well as dimension units such as \mfc{in} (inches)
+\CMF{} has \kw{numeric} quantities. These include lengths, such as the
+radius of a circle, as well as dimension units such as \mfc{in} (inches)
 and \mfc{pt} (points). In fact it understands all the same units that
-\TeX{} does. Numeric quantities can be constants (explicit numbers) or
-variables (symbolic names). In fact, \mfc{in} and \mfc{pt} are symbolic
-names for numeric quantities.
+\TeX{} does. These \kw{numeric} quantities can be constants (explicit
+numbers) or variables (symbolic names). In fact, \mfc{in} and \mfc{pt}
+are symbolic names for \kw{numeric} quantities.
 
-\CMF{} also has \mfc{pair} objects, which may be constants or variables.
-Pair constants have the form \mfc{($x$,$y$)} where $x$ and $y$ are
-numbers, for example \mfc{(0,0)}.  Pairs are two-dimensional quantities
-used for representing either points or vectors in a rectangular
-(Cartesian) coordinate system.
+\CMF{} also has \kw{pair} objects, which may be constants or variables.
+Constants of type \kw{pair} have the form \mfc{($x$,$y$)} where $x$ and
+$y$ are numbers, for example \mfc{(0,0)}.  Pairs are two-dimensional
+quantities used for representing either points or vectors in a
+rectangular (Cartesian) coordinate system.
 
 In this manual we often represent each pair by a brief name, such as
 \meta{p} or \meta{v}, the meanings of which are usually obvious in the
@@ -672,18 +688,26 @@ either a pair constant or variable. The succinctness of this notation
 helps us to think geometrically rather than only of coordinates.
 
 
-\section{\CMP{} colors.}\label{MPcolors}
+\section{Colors.}\label{MPcolors}
 
-\CMP{} has the same concepts as \MF, but also has color objects, which
-may also be constants or variables. Color constants have the form
-\mfc{($r$,$g$,$b$)} where $r$, $g$, and $b$ are numbers between $0$ and
-$1$ determining the relative proportions of red, green and blue in the
-color (the ``rgb'' model). A color variable is a name, like
-\mfc{red}, \mfc{blue} (both predefined by \MP) or \gbc{magenta}
-(predefined by \mfp{}).
+\CMP{} has the same concepts as \MF, but also has \kw{color} objects,
+which may also be constants or variables. In recent MP{}, colors come in
+two flavors: \kw{rgbcolor} and \kw{cmykcolor}. Constants of type
+\kw{rgbcolor} have the form \mfc{($r$,$g$,$b$)} where $r$, $g$, and $b$
+are numbers between $0$ and $1$ determining the relative proportions of
+red, green and blue in the color (the `rgb' model). Constants of type
+\kw{cmykcolor} have the form \mfc{($c$,$m$,$y$,$k$)} where $c$, $m$, $y$
+and $k$ are numbers between $0$ and $1$ determining the relative
+proportions of cyan, magenta, yellow and black in the color (the `cmyk'
+model).
 
+A color variable is a name, like \mfc{red}, \mfc{blue} (both predefined
+rgb colors in \MP) or \gbc{magenta} (predefined by \mfp{} to be an rgb
+color if \MP{} has version ${}<1.000$, a cmyk color if the version is at
+least 1.000).
 
-\section{\CMF{} paths, pictures and booleans.}\label{paths}
+
+\section{Paths, pictures and booleans.}\label{paths}
 
 Most of the things that \mfp{} is designed to draw are paths. Examples
 of paths are circles, rectangles,  other polygons, graphs of
@@ -696,19 +720,20 @@ names.
 Normally in \mfp{} we want to create a picture, usually by rendering one
 or more paths. It is possible in \MF{} to store a picture in a symbolic
 name without actually drawing it. However, because of their complexity,
-picture objects require somewhat more care than paths or other data
-types. Do not expect to use stored pictures in the same way as stored
-paths. In fact, one should use picture variables only in those command
-that are explicitely designed for them. In \mfp{} to date these are only
-\cs{tile...}\cs{endtile} and \cs{mfpimage} to store pictures, and
-\cs{putmfpimage} to draw copies of one. There is also \cs{tess}, but it
-is used only to fill a region with copies of a picture created by
-\cs{tile}.
-
-The boolean data type is one of the values \mfc{true} or \mfc{false}.
-Boolean variables are symbolic names that can take either of these two
-values. Usually these are used to influence the behavior of some command
-by setting a relevant boolean variable to one or the other value.
+objects of type \kw{picture} require somewhat more care than paths or
+other data types. Do not expect to use stored pictures in the same way
+as stored paths. In fact, one should use \kw{picture} variables only in
+those command that are explicitely designed for them. In \mfp{} to date
+these are only \cs{tile...}\cs{endtile} and \cs{mfpimage} to store
+pictures, and \cs{putmfpimage} to draw copies of one. There is also
+\cs{tess}, but it is used only to fill a region with copies of a picture
+created by \cs{tile}.
+
+The \kw{boolean} data type is one of the values \mfc{true} or
+\mfc{false}. Variables of type \kw{boolean} are symbolic names that can
+take either of these two values. Usually these are used to influence the
+behavior of some command by setting a relevant \kw{boolean} variable to
+one or the other value.
 
 
 \clearpage
@@ -742,9 +767,9 @@ value. This is useful for commands that have two optional arguments and
 one wants the default value in the first one and some nondefault value
 in the second. An optional argument should normally not contain any
 spaces. Even when the argument contains more than one piece of data,
-spaces should not separate the parts. In some cases (perhaps most) this
-will cause no harm, but it would be better to avoid doing it altogether,
-because it will cause wrong results or error messages in some cases.
+spaces should not separate the parts. In some cases this will cause no
+harm, but it would be better to avoid doing it altogether, because there
+are cases where it will cause wrong results or error messages.
 
 
 \section{Files and Environments.}\label{files}
@@ -775,8 +800,17 @@ file and open another, and even to change between \opt{metapost} and
 \opt{metafont} in between. If anything goes wrong with this, contact the
 maintainer and it might be fixed in some later version.
 
+There may be limitations on what can be used as a filename. As of \mfp{}
+version \mfpversion, we have tried to permit \cs{jobname} as part of
+\meta{file}. Thus we permit \TeX{} macros, but they should expand to
+non-special characters. Permitting macros makes it essentially
+impossible for the filename to contain the backslash and brace
+characters. Also spaces are problematic. However other special \TeX{}
+characters (for example: tilde, underscore and percent) can be used,
+though that is really not recommended.
+
 \begin{cd}\pagelabel{mfpic}
-\cs{mfpic}\oarg{\meta{xscale}}\oarg{\meta{yscale}}%
+\cs{mfpic}\oarg{\meta{xfactor}}\oarg{\meta{yfactor}}%
   \marg{\meta{xmin}}\marg{\meta{xmax}}\marg{\meta{ymin}}\marg{\meta{ymax}}\\
   \ $\ldots$\\
 \cs{endmfpic}%
@@ -791,8 +825,8 @@ These macros open and close the \env{mfpic} environment%
 in which the drawing macros make sense. While many \mfp{} commands can
 be used inside or outside this environment, those that actually produce
 visible output are required to be inside. The \cs{mfpic} macro also sets
-up the local coordinate system for the picture. The \meta{xscale} and
-\meta{yscale} parameters establish the length of a coordinate system
+up the local coordinate system for the picture. The \meta{xfactor} and
+\meta{yfactor} parameters establish the length of a coordinate system
 unit, as a multiple of the \TeX{} dimension \cs{mfpicunit}. If neither
 is specified, both are taken to be 1 and each coordinate system unit is
 1 \cs{mfpicunit}. If only one is specified, then they are assumed to be
@@ -804,17 +838,16 @@ The \meta{xmin} and \meta{xmax} parameters establish the lower
 and upper bounds for the $x$-axis coordinates; similarly, \meta{ymin}
 and \meta{ymax} establish the bounds for the $y$-axis. These bounds are
 expressed in local units---in other words, the actual width of the
-picture will be $(\meta{xmax}-\meta{xmin})\cdot\meta{xscale}$ times
-\cs{mfpicunit}, its height $(\meta{ymax}-\meta{ymin})\cdot\meta{yscale}$
+picture will be $(\meta{xmax}-\meta{xmin})\cdot\meta{xfactor}$ times
+\cs{mfpicunit}, its height $(\meta{ymax}-\meta{ymin})\cdot\meta{yfactor}$
 times \cs{mfpicunit}, and its depth zero.
 
 Most of \mfp{}'s drawing macros accept parameters which are
 \emph{coordinate pairs}. A coordinate pair is a pair of numbers $(x,y)$
 enclosed in parentheses, with $\meta{xmin} \le x \le \meta{xmax}$ and
-$\meta{ymin}
-\le y \le \meta{ymax}$.%
+$\meta{ymin} \le y \le \meta{ymax}$.%
     \footnote{These inequalities can be violated, usually causing
-    something to be drawn outside the desired borders of the figure.}
+    something to be drawn outside the designated borders of the figure.}
 We will call these \emph{graph coordinates} and refer to the numbers $x$
 and $y$ as being \emph{in graph units}. Things like the thickness of
 lines and the lengths of arrowheads are required to be expressed in
@@ -822,7 +855,7 @@ actual lengths such as \dim{1pt} or \dim{3mm}. These will be referred to as
 \emph{absolute} units.
 
 One can scale all pictures uniformly by changing \cs{mfpicunit}, and
-scale an individual picture by changing \meta{xscale} and \meta{yscale}.
+scale an individual picture by changing \meta{xfactor} and \meta{yfactor}.
 After loading \mfp{}, \cs{mfpicunit} has the value \dim{1pt}. One
 \texttt{pt} is a \emph{printer's point}, which equals 1/72.27 inches or
 0.35146 millimeters.
@@ -842,6 +875,10 @@ bounding box (\MP{}) will be affected, so you will have to be sure to
 reprocess the \TeX{} file after processing the \file{.mf} or \file{.mp}
 file, even if no other changes are made in the figure.
 
+The value of these 6 parameters to \cs{mfpic} are available within the
+environment as macros: \cs{xfactor}, \cs{yfactor}, \cs{xmin}, \cs{xmax},
+\cs{ymin} and \cs{ymax}.
+
 \begin{cd}\pagelabel{mfpicnumber}
 \cs{mfpicnumber}\marg{\meta{num}}%
 \index{mfpicnumber@\cs{mfpicnumber}}
@@ -941,11 +978,13 @@ macro, this will be explicitly stated.
 Some commands depend on the value of separately defined parameters. all
 these parameters are initialized when \mfp{} is loaded. In the following
 descriptions we give the initial value of all the relevant parameters.
-When \MP{} output is selected, figures can be drawn in any color.
-several of the above mentioned parameters are colors. \mfp{} provides
-commands to change any of these parameters. To save repetition: all
-special colors for figures are initialized to \mfc{black} except
-\mfc{background}, which is white.
+\Mfp{} provides commands to change any of these parameters. When \MP{}
+output is selected, figures can be drawn in any color and several of the
+above mentioned parameters are colors. For example, \gbc{drawcolor} is
+the name of the default color used to draw curves, \gbc{headcolor} is
+used when drawing arrowheads, etc.  To save repetition: all special
+colors for figures are initialized to \mfc{black} except
+\mfc{background}, which is \mfc{white}.
 
 
 \subsection{Points, lines, and rectangles}\label{points}
@@ -1077,7 +1116,7 @@ specified order. The macro \cs{lines} is an alias for \cs{polyline}.
 \index{closedpolyline@\cs{closedpolyline}}
 \end{cd}
 
-The figure macros \cs{polygon} produces a closed polygon with vertices
+The figure macro \cs{polygon} produces a closed polygon with vertices
 at the specified points in the specified order. It works exactly like
 \cs{polyline} except the last point in the list is also joined to the
 first. The macro \cs{closedpolyline} is an alias for \cs{polygon}.
@@ -1095,7 +1134,7 @@ different ways: either pair of opposite corners in either order.
 It is occasionally helpful to know that connected paths like those
 produced by \cs{polyline} or \cs{rect} have a \emph{start} and an
 \emph{end} as well as \emph{sense} (or direction). The path produced by
-\cs{polyline} starts at the first listed pint and ends at last, having
+\cs{polyline} starts at the first listed point and ends at last, having
 the direction determined by the order of the points. For \cs{rect} the
 sense may be clockwise or anticlockwise depending on the corners used:
 it starts by moving horizontally from the first listed point.
@@ -1129,6 +1168,7 @@ Moreover, \gbc{Kay} will equal $5$. The name given becomes a \MF{}
 variable and care should be taken to make the name distinctive so as not
 to redefine some internal variable.
 
+
 \subsection{A word about list arguments}\label{list}
 
 We have seen already four \mfp{} macros that take a mandatory argument
@@ -1305,7 +1345,7 @@ changed (see below). The commands may be repeated as often as desired.
 appendix~\ref{mpconsiderations}.) The command \cs{axismarks}\marg{x} is
 equivalent to \cs{xmarks} and so on for each of the six axes. (I would
 have used the shorter name \cs{marks}, but that name was already taken
-by e\kern-.16em\TeX{}.)
+by \eTeX{}.)
 
 The \meta{numberlist} is normally a comma-separated list of numbers. In
 place of this, one can give a starting number, an increment and an
@@ -1491,7 +1531,7 @@ The last argument is as in \cs{vectorfield}, except it should depend on
 the literal variables \mfc{r} and \mfc{t}.
 
 In either case, the arrow is not drawn if the starting point would lie
-within the margins set with \cs{axismargins} and its relatives.
+outside the borders set with \cs{axismargins} and its relatives.
 
 The following draws a rotational field, omitting the inside of the
 circle of radius $1$, where the arrows would be excessively long, and
@@ -1531,36 +1571,47 @@ specified in the mandatory argument.
 
 The optional arguments produce circles according to the following
 descriptions.
+%
 \begin{description}
 \item[\oarg{p}] The \textit{Polar form} is the default. The data in the
 mandatory argument should then be the center \meta{c} and radius
-\meta{r} of the circle.
+\meta{r} of the circle. A negative radius is a mathematical error, but
+it is accepted. It produces the same circle, with the same sense, but
+the starting point (normally \meta{$r$} units to the right of the
+center) is \meta{$r$} units \emph{left} of the center.
 
 \item[\oarg{c}] The \textit{center-point form}. In this case the data
-should be the center and one point on the circumference.
+should be the center and one point on the circumference. The circle
+starts at the point and has an anticlockwise sense.
 
 \item[\oarg{t}] The \textit{three-point form}. The data are three points
-that do not lie in a straight line.
+that do not lie in a straight line. The circle starts at the first point
+and has the sense determined by the order of the points.
 
 \item[\oarg{s}] The \textit{point-sweep form}. The data are two points on the
-circle, followed by the angle of arc between them.
+circle, followed by the angle of arc between them. This circle starts at
+the first point and has a sense determined by the angle: anticlockwise
+for positive angles, clockwise for negative.
 
 \item[\oarg{r}] The \textit{point-radius form}. The data are two points on the
 circle, followed by the radius. There are two circles with this data.
 The one that makes the angle from the first to the second point positive
-and less than 180 degrees is produced.
+and less than $180$ degrees is produced. The sense of the circle is
+normally anticlockwise starting at the first point. Using a negative
+radius is a mathematical error, but this command just produces the other
+circle with the opposite sense.
 
-\item[\oarg{q}] The \textit{alternate point-radius form}. The data are
+\item[\oarg{q}] The \textit{alternative point-radius form}. The data are
 the same as for the \oarg{r} case, except the other circle is produced.
+That is, a circle starting at the first point, proceeding anticlockwise
+through an angle greater than $180$ degrees to the second point, then
+along the shorter arc to the first point. Again, a negative radius
+produces the other circle with clockwise sense.
 \end{description}
+%
 These optional arguments are also used in the \cs{arc} command (see
 below). The \cs{circle} command draws the whole circle of which the
-corresponding \cs{arc} command draws only a part. The sense of the
-circle produced is anticlockwise except in the case \texttt{[t]}, where
-it is the direction determined by the order of the three points, and the
-case \texttt{[s]}, where it is determined by \meta{$\theta$}: clockwise
-if negative, anticlockwise if positive.
-
+corresponding \cs{arc} command draws only a part.
 
 \begin{cd}\pagelabel{arc}
 \cs{arc}\oarg{\meta{format}}\marg{\meta{specification}}\\
@@ -1599,7 +1650,7 @@ the point \meta{$p_1$}, and covering an arc angle of \meta{$\theta$}
 degrees, measured anticlockwise around the center of the circle. If,
 for example, the points \meta{$p_0$} and \meta{$p_1$} lie on a
 horizontal line with \meta{$p_0$} to the \emph{left}, and \meta{$\theta$}
-is between 0~and 360 (degrees), then the arc will sweep \emph{below} the
+is between $0$~and $360$ (degrees), then the arc will sweep \emph{below} the
 horizontal line (in order for the arc to be anticlockwise). A
 negative value of \meta{$\theta$} gives a clockwise arc from \meta{$p_0$}
 to \meta{$p_1$}.
@@ -1607,50 +1658,50 @@ to \meta{$p_1$}.
 \item[\oarg{p}] The \textit{polar form} draws the arc of a circle with
 center \meta{$c$} starting at the angle \meta{$\theta_1$} and ending at
 the angle \meta{$\theta_2$}, with radius \meta{$r$}. Both angles are
-measured anticlockwise from the positive $x$ axis.
+measured anticlockwise from the positive $x$ axis. If the first angle is
+less than the second, the arc has an anticlockwise sense, otherwise
+clockwise. A negative radius is a mathematical error, but the result is
+the arc on the opposite side of the circle, as if both angles were
+increased by $180$ degrees
 
-\item[\oarg{a}] The \textit{alternate polar form} draws the arc of a
-circle with center \meta{$c$} and radius \meta{$r$}, starting at the
-angle \meta{$\theta_1$} and ending at the angle \meta{$\theta_2$}. Both
-angles are measured anticlockwise from the positive $x$ axis. This is
-provided because it seems a more reasonable order of arguments, and
-matches the order \cs{sector} requires (see below). The \texttt{p}
-option is retained for backward compatibility.
+\item[\oarg{a}] The alternative polar form differs from the polar form
+above only in the order of the arguments. This seems (to me) a more
+reasonable order, and matches the order \cs{sector} requires (see below).
+The p option is retained for backward compatibility.
 
 \item[\oarg{c}] The \textit{center-point-angle form} draws the circular
 arc with center \meta{$c$}, starting at the point \meta{$p_1$}, and
 sweeping an angle of \meta{$\theta$} around the center from that point.
-(This and the point sweep form are the basic methods of handling
-arcs---the previous three formats are translated to one of these two
-before drawing.)
+This is the fundamental method for drawing arcs. All other methods are
+converted to this or the point-sweep method. Even the point sweep form
+is converted to this one for angles greater than 90 degrees.
 
 \item[\oarg{t}] The \textit{three-point form} draws the circular arc
 which passes through all three points given, in the order given.
 Internally, this is converted to two applications of the point-sweep
 form.
 
-\item[\oarg{r}] The \textit{point-radius form} draws the circular arc
-starting at the point \meta{$p_0$}, ending at \meta{$p_1$},
-with radius \meta{$r$}. Of the four possible arcs on two possible
-circles, it produces the one that covers an arc angle $\theta$
-no more than $180$ degrees measured anticlockwise around the center
-of the circle. To get the similar arc on the other circle, reverse the
-order of the points.
-
-\item[\oarg{q}] The \textit{alternate point-radius form} is the same as
-\oarg{r} except it produces the arc that covers an angle $\theta$
-\emph{no less than} $180$ degrees measured anticlockwise around the
-center of the circle. To get the similar arc on the other circle,
-reverse the order of the points.
-
-For both options \oarg{r} and \oarg{q}, if the radius is less than half
-the distance between the points, then no such arc exists. In this case,
-the command uses a radius equal to half the distance. The difference
-between negating the radius and reversing the points is the sense of
-the resulting path: it always starts at the first point and ends at the
-second.
+\item[\oarg{r}] The \textit{point-radius form} draws an arc on the
+circle that \cs{circle}\oarg{r} would produce. The arc starts at the
+point \meta{$p_0$} and ends at \meta{$p_1$}. Of the two possible arcs on
+that circle, it produces the shorter one that covers an angle $\theta$
+from $0$ to $180$ degrees measured anticlockwise around the center
+of the circle. A negative radius is a mathematical error, but the result
+is the short arc on the other circle with a clockwise sense.
+
+\item[\oarg{q}] The \textit{alternative point-radius form} is the same as
+\oarg{r} except it produces the longer arc, that covers an angle
+$\theta$ between $180$ and $360$ degrees measured anticlockwise around
+the center of the circle. A negative radius is a mathematical error, but
+the result is the longer arc on the other circle with a clockwise sense.
 \end{description}
 
+For both options \oarg{r} and \oarg{q} the angle is computed and then
+the point-sweep method is used. If the absolute value of the radius is
+less than half the distance between the points, then no such arc exists.
+In this case, the angle is just set equal to $\pm180$ degrees (as if the
+radius were changed to half the distance).
+
 \begin{cd}\pagelabel{sector}
 \cs{sector}\marg{\meta{$c$},\meta{$r$},\meta{$\theta_1$},\meta{$\theta_2$}}%
 \index{sector@\cs{sector}}%
@@ -1698,13 +1749,37 @@ points, such as \cs{polyline}.
 
 The effect of \cs{plr} is to apply a \MF{} command, \gbc{polar}, to each
 point in the list, producing a new list. This \MF{} command can also be
-used separately in any situation where a \MF{} point is required. For
+used separately in any situation where a single \MF{} point is required. For
 example, to connect the point $(2,3)$ to the point with polar
 coordinates $(1, 135)$ write
 \begin{verbatim}
 \polyline{(2,3),polar(1,135)}
 \end{verbatim}
 
+This last circle-producing macro I wrote for my own use. It produces a
+circle associated with the hyperbolic geometry of a disk or a
+half-plane.
+
+\begin{cd}\pagelabel{pshcircle}
+\cs{pshcircle}\marg{\meta{center},\meta{radius}}\\
+\cs{pshcircle}*\marg{\meta{center},\meta{radius}}%
+\index{pshcircle@\cs{pshcircle}}%
+\end{cd}
+
+This produces the circle whose hyperbolic center is at \meta{center} and
+whose pseudohyperbolic radius is \meta{radius}. This all takes place
+inside the circle with center $(0,0)$ and radius $1$ (the \emph{unit
+circle}). The \meta{center} is required to be inside the unit circle and
+the \meta{radius} is required to be less than $1$.
+
+The star-form is for the \emph{upper half-plane}, which is the set of
+points with positive $y$-coordinate In this case, the \meta{center} must
+be in the upper half-plane and the \meta{radius} must still be less than
+$1$. If you are not versed in hyperbolic geometry, be warned that the
+actual diameter of the resulting circle is on the order of $2y/(1-R)$,
+where $R$ is the \meta{radius}. This can be quite large even for modest
+values of $R$ and $y$.
+
 
 \subsection{Curves}\label{curves}
 
@@ -1732,7 +1807,7 @@ The special value \mfc{infinity} (in fact, usually anything greater than
 about $10$), makes the curve not visibly different from a polyline. The
 higher the value of tension, the sharper the corners on the curve and
 the flatter the portions in between. \CMF{} requires the tension to be
-larger than 0.75. The default value of the tension is $1$ when \mfp{} is
+larger than $0.75$. The default value of the tension is $1$ when \mfp{} is
 loaded, but that can be changed with the following command.
 
 \begin{cd}\pagelabel{settension}
@@ -1785,8 +1860,8 @@ curve will also have increasing (resp., decreasing) $x$ coordinates. The
 the curve is drawn. Generally, the larger it is, the closer the curve is
 to the polyline through the points. The default tension is that set with
 \cs{settension}, initially $1$. For those who know something about
-\MF{}, this `tension' is not the same as the \MF{} notion of tension,
-the tension in the \cs{curve} command, but it functions in a similar
+\MF{}, this `tension' is not the same as the \MF{} notion of tension
+(the tension in the \cs{curve} command), but it functions in a similar
 fashion. In this case it can actually be any positive number, but only
 values greater than $1/3$ guarantee the property of never doubling back.
 
@@ -1915,7 +1990,7 @@ The first required argument contains the center \meta{$c$} and radius
 data: positive numbers separated by commas.
 
 Since this command never actually draws anything, only defining the
-wedges, it makes sense to have it available outside the drawing
+wedges, it makes sense to heave it available outside the drawing
 environment. Starting with version 0.9 of \mfp{} that is the case, but
 the command name is \cs{mfppiechart} (to avoid a name clash with some
 other package's \cs{piechart} command). The command to draw wedges
@@ -1944,18 +2019,165 @@ units). The \texttt{m} stands for \emph{move to}, and \meta{trans} is
 then the absolute coordinates \texttt{(\meta{x},\meta{y})} in the graph
 where the point of the wedge should be placed.
 
-\section{Colors.}\label{colors}
 
-\subsection{Setting the default colors}\label{defaultcolors}
+\section{Colors in \mfp{}.}\label{colors}
+
+\subsection{\CMP{} color functions}\label{mpcolors}
+
+Because of changes to color handling with \MP{} 1.000, we will have to
+give two descriptions of some operations. For brevity, we will refer to
+\MP{} versions before the addition of the \kw{cmykcolor} data type as
+`early' \MP{} and the versions afterward as `recent' \MP{}. Early \MP{}
+actually ended with version 0.642. When development resumed, beta test
+versions began with 0.900. Any version 0.900 or later qualifies as
+`recent'.
+
+In early \MP{}, the only \kw{color} data type is a triple of numbers
+like \mfc{(1,.5,.5)}, with the components between 0 and 1, representing
+red, green and blue levels, respectively. White is given by
+\mfc{(1,1,1)} and black by \mfc{(0,0,0)}. Recent \MP{} has the
+\kw{color} data type (refered to as either \kw{color} or \kw{rgbcolor})
+as well as the \kw{cmykcolor} type. A \kw{cmykcolor} is a quadruple of
+numbers like \mfc{(1,.2,0,.3)}, with components between 0 and 1
+representing levels of cyan, magenta, yellow and black. White is
+represented by \mfc{(0,0,0,0)}. While black can be obtained in several
+ways,\mfc{(0,0,0,1)} is the simplest.
+
+\CMP{} also has \kw{color} variables (and \kw{cmykcolor} variables) and
+several have been predefined. The colors \mfc{red}, \mfc{green},
+\mfc{blue}, \mfc{white} and \mfc{black} are built in to \MP{} and are of
+type \kw{rgbcolor}. Colors \gbc{cyan}, \gbc{magenta} and \gbc{yellow}
+are defined by \mfp{}'s \MP{} support macros to be \kw{cmykcolor}. In
+addition, \mfp{} defines \gbc{cmykblack}, \gbc{cmykwhite},
+\gbc{rgbblack}, \gbc{rgbwhite}, \gbc{grayscaleblack} and
+\gbc{grayscalewhite}. These give black and white in the indicated data
+type (grayscale being a numeric: $0$ for black, $1$ for white).
+
+All the names in the \LaTeX{} \prog{color} package's \file{dvipsnam.def}
+have also been predefined by \mfp{} as color variable names. Since \MP{}
+allows color expressions, colors may be added (as long as they are the
+same type) and multiplied by numerics. Multiplication by a number
+between $0$ and $1$ darkens a \kw{rgbcolor}, but lightens a
+\kw{cmykcolor}.
+
+Moreover, several \MP{} color functions have been defined in
+\file{grafbase.mp}. These have the same names as the color models.
+Strictly speaking, it is never necessary to use these in recent \MP{}.
+However, since \MF{} and early \MP{} don't have a data type consisting
+of quadruples, and \MF{} doesn't have one for triples, these functions
+allow the same \mfp{} code to be used for all three figure processors.
+These functions are defined to convert to a usable data type, (which may
+be ignored in \MF{}).
+
+\begin{cd}
+\mfc{cmyk($c$,$m$,$y$,$k$)}%
+\index{cmyk@\mfc{cmyk($c$,$m$,$y$,$k$)}}
+\end{cd}
+
+In early \MP{}, this converts a cmyk color specification to \MP{}'s
+native rgb. For example, the command \mfc{cmyk(1,0,0,0)} yields
+\mfc{(0,1,1)}, which is the rgb equivalent of cyan. In recent \MP{} this
+produces the \kw{cmykcolor} with the given components. That is,
+\gbc{cmyk(1,0,0,0)} simply produces $(1,0,0,0)$, the cmyk coding for
+cyan.
+
+\begin{cd}
+\mfc{gray($g$)}%
+\index{gray@\mfc{gray($g$)}}
+\end{cd}
+
+In early \MP{}, this converts a numeric $g$ (designating a level of
+gray) to the corresponding multiple of white: \mfc{($g$,$g$,$g$)}. In
+recent \MP{}, commands to draw paths or pictures in a particular color
+will accept a \kw{numeric} parameter instead of \kw{color} or
+\kw{cmykcolor}, so in recent \MP{} this command simply returns the given
+numeric $g$.
+
+\begin{cd}
+\mfc{named(\meta{name})},
+\mfc{rgb($r$,$g$,$b$)}%
+\index{named@\mfc{named(\meta{name})}}%
+\index{rgb@\mfc{rgb($r$,$g$,$b$)}}
+\end{cd}
+
+These are essentially no-ops. However; \mfc{rgb()} will truncate the
+arguments to the 0--1 range, and set an unknown argument to 0. An
+unknown \meta{name} is converted to \mfc{black} (in the appropriate
+color model if \meta{name} is an unknown color variable, otherwise rgb
+black).
+
+\begin{cd}
+\mfc{RGB($R$,$G$,$B$)}%
+\index{RGB@\mfc{RGB($R$,$G$,$B$)}}
+\end{cd}
+
+Converts an RGB color specification to rgb. It divides each component by
+255, and performs the same truncations as \gbc{rgb()}. The RGB model
+consists of a triple of numbers between 0 and 255. Originally, the model
+required they be integers. However, since they are converted to
+fractions anyway, it doesn't matter in this command.
+
+\medskip
+As an example of the use of these functions, in early \MP{} one could
+conceivable write:
+%
+\begin{verbatim}
+\draw[0.5*RGB(255,0,0)+0.5*cmyk(1,0,0,0)]\circle{(0,0),1}
+\end{verbatim}
+%
+to have a circle drawn in a color halfway between red and cyan (which
+turns out to be the same as \gbc{gray(0.5)}). In recent \MP{}, however,
+this would be an error, as one cannot add two different data types
+(\kw{rgbcolor} and \kw{cmykcolor}). So \mfp{} supplies conversion functions.
+
+\begin{cd}
+\mfc{makecmyk \meta{clr}}\\
+\mfc{makergb  \meta{clr}}\\
+\mfc{makegray \meta{clr}}%
+\index{makecmyk@\mfc{makecmyk}}%
+\index{makergb@\mfc{makergb}}%
+\index{makegray@\mfc{makegray}}
+\end{cd}
+
+In recent \MP{}, the \meta{clr} can be a known color name, a constant
+of type \kw{numeric}, \kw{rgbcolor}, or \kw{cmykcolor}, or the result of
+a color function. Then \mfc{makecmyk} returns the \kw{cmykcolor}
+equivalent, and \mfc{makergb} returns the \kw{rgbcolor} equivalent (a
+\kw{numeric} \meta{clr} is interpreted as a grayscale color). Unknown
+colors produce a black in the appropriate model. Then one can use
+%
+\begin{verbatim}
+\draw{.5*RGB(255,0,0) + .5*makergb cmyk(1,0,0,0)}\circle{(0,0),1}
+\end{verbatim}
+%
+And if one didn't know that \mfc{RGB} returned an \kw{rgbcolor}, one
+could also write \verb$makergb RGB(255,0,0)$ to be sure to get an
+\kw{rgbcolor}.
+
+The first two commands are never necessary in early \MP{}, but they are
+still defined: they simply return the given color if it is a known
+argument of type \kw{color}, or apply the function \gbc{gray()} is it is
+\kw{numeric}, and return black for an unknown name.
+
+The last one \gbc{makegray} converts any color to a numeric, and then
+returns either that number (recent \MP) or that multiple of \mfc{white}
+(early \MP). In \MF{}, all three pass the (presumably numeric) argument
+\meta{clr} unchanged.
+
+All three functions return some kind of black if \meta{clr} is not some
+kind of color, or has an unknown value.
+
+
+\subsection{Establishing \mfp{} default colors}\label{defaultcolors}
 
 \begin{cd}\pagelabel{drawcolor}
 \cs{drawcolor}\oarg{\meta{model}}\marg{\meta{colorspec}}\\
-\cs{fillcolor}$\ldots$\\
-\cs{hatchcolor}$\ldots$\\
-\cs{pointcolor}$\ldots$\\
-\cs{headcolor}$\ldots$\\
-\cs{tlabelcolor}$\ldots$\\
-\cs{backgroundcolor}$\ldots$%
+\cs{fillcolor}\oarg{\meta{model}}\marg{\meta{colorspec}}\\
+\cs{hatchcolor}\oarg{\meta{model}}\marg{\meta{colorspec}}\\
+\cs{pointcolor}\oarg{\meta{model}}\marg{\meta{colorspec}}\\
+\cs{headcolor}\oarg{\meta{model}}\marg{\meta{colorspec}}\\
+\cs{tlabelcolor}\oarg{\meta{model}}\marg{\meta{colorspec}}\\
+\cs{backgroundcolor}\oarg{\meta{model}}\marg{\meta{colorspec}}%
 \index{drawcolor@\cs{drawcolor}}%
 \index{fillcolor@\cs{fillcolor}}%
 \index{hatchcolor@\cs{hatchcolor}}%
@@ -1970,111 +2192,62 @@ curve (with one exception, those drawn by \cs{plotdata}), whether solid,
 dashed, dotted, or plotted in symbols, will be in the color set by
 \cs{drawcolor}. Set the color used by \cs{gfill} with \cs{fillcolor}.
 For all the hatching commands use \cs{hatchcolor}. For the \cs{point},
-\cs{plotsymbol} and \cs{gridpoints} commands use \cs{pointcolor}, and for
-arrowheads, \cs{headcolor}. One can set the color used by \cs{gclear}
-with \cs{backgroundcolor} (the same color will also be used in the
-interior of unfilled points that are drawn with \cs{point}) and, when
-\opt{mplabels} is in effect, the color of labels can be set with
-\cs{tlabelcolor}. The optional \meta{model} may be one of \opt{rgb},
-\opt{RGB}, \opt{cmyk}, \opt{gray}, and \opt{named}. The \meta{colorspec}
+\cs{plotsymbol} and \cs{gridpoints} commands use \cs{pointcolor}, and
+for arrowheads, \cs{headcolor}. One can set the color used by
+\cs{gclear} with \cs{backgroundcolor} (the same color will also be used
+in the interior of unfilled points that are drawn with \cs{point}) and,
+when \opt{mplabels} is in effect, the color of labels can be set with
+\cs{tlabelcolor}.
+
+The optional \meta{model} may be one of \texttt{rgb}, \texttt{RGB},
+\texttt{cmyk}, \texttt{gray}, and \texttt{named}. The \meta{colorspec}
 depends on the model, as outlined below. Each of these commands sets a
 corresponding \MP{} color variable with the same name (except
-\cs{backgroundcolor} sets the color \mfc{background}). Thus, after
+\cs{backgroundcolor} sets the color named \mfc{background}). Thus, after
 \texttt{drawcolor} has been set, one can issue the command
 \cs{fillcolor}\marg{drawcolor} to fill with the same color.
 
 As previously discussed, all these colors are initially set to
 \mfc{black} except \mfc{background} is set to \mfc{white}.
 
-\subsection{\CMP{} colors}\label{mpcolors}
-
-If the optional \meta{model} specification is omitted, the color
-specification may be any expression recognized as a color by \MP{}. In
-\MP{}, a color is a triple of numbers like \mfc{(1,.5,.5)}, with the
-coordinates between 0 and 1, representing red, green and blue levels,
-respectively. White is given by \mfc{(1,1,1)} and black by
-\mfc{(0,0,0)}. \CMP{} also has color variables and several have been
-predefined: \mfc{red}, \mfc{green}, \mfc{blue}, \mfc{yellow},
-\mfc{cyan}, \mfc{magenta}, \mfc{white}, and \mfc{black}. All the names
-in the \LaTeX{} \prog{color} package's \file{dvipsnam.def} are
-predefined color variable names. Since \MP{} allows color expressions,
-colors may be added and multiplied by numerics. Moreover, several \MP{}
-color functions have been defined in \file{grafbase.mp}:
-
-\begin{cd}
-\mfc{cmyk($c$,$m$,$y$,$k$)}%
-\index{cmyk@\mfc{cmyk($c$,$m$,$y$,$k$)}}
-\end{cd}
-
-Converts a \opt{cmyk} color specification to \MP{}'s native \opt{rgb}. For
-example, the command \mfc{cmyk(1,0,0,0)} yields \mfc{(0,1,1)}, which is
-the definition of \mfc{cyan}.
-
-\begin{cd}
-\mfc{RGB($R$,$G$,$B$)}%
-\index{RGB@\mfc{RGB($R$,$G$,$B$)}}
-\end{cd}
-
-Converts an \opt{RGB} color specification to \opt{rgb}. It essentially
-just divides each component by 255.
-
-\begin{cd}
-\mfc{gray($g$)}%
-\index{gray@\mfc{gray($g$)}}
-\end{cd}
-
-Converts a numeric $g$ (a gray level) to the corresponding multiple of
-\mfc{(1,1,1)}.
-
-\begin{cd}
-\mfc{named(\meta{name})},
-\mfc{rgb($r$,$g$,$b$)}%
-\index{named@\mfc{named(\meta{name})}}%
-\index{rgb@rgb($r$,$g$,$b$)}
-\end{cd}
-
-These are essentially no-ops. However; \mfc{rgb} will truncate the
-arguments to the 0--1 range,  an unknown \meta{name} is converted to
-\mfc{black}, and an unknown numeric argument is set to 0.
-
-\medskip
-As an example of the use of these functions, one could conceivable
-write:
-\begin{verbatim}
-\drawcolor{0.5*RGB(255,0,0)+0.5*cmyk(1,0,0,0)}
-\end{verbatim}
-to have all curves drawn in a color halfway between red and cyan (which
-turns out to be the same as \gbc{gray(0.5)}).
-
-\subsection{Color models}\label{colormodels}
+If the optional \meta{model} argument is omitted, the color
+specification may be any expression recognized as a color by \MP{}. It
+is highly recommended (for portability) that one use either a predefined
+name or one of the color functions of the previous section.
 
 When the optional \meta{model} is specified in the color setting
-commands, it determines the format of the color specification:
-
-\medskip
-\halign{\quad#\hfil\quad&#\hfil\cr
-{\slshape Model:}& {\slshape Specification:}\cr
-\opt{rgb}&  Three numbers in the range 0 to 1 separated by commas.\cr
-\opt{RGB}&  Three numbers in the range 0 to 255 separated by commas.\cr
-\opt{cmyk}& Four numbers in the range 0 to 1 separated by commas.\cr
-\opt{gray}& One number in the range 0 to 1, with 1 indicating
-                  white, 0 black.\cr
-\opt{named}& A \MP{} color variable name either predefined by
+commands, it determines the format of the color specification as in
+figure~\ref{fig:colorspecs}.
+
+\begin{figure}[hbt]
+\halign{\quad\texttt{#}\hfil\quad&#\hfil\cr
+\omit\quad{\slshape Model:}\hfil& {\slshape Specification:}\cr
+rgb     & Three numbers in the range 0 to 1 separated by commas.\cr
+RGB     & Three numbers in the range 0 to 255 separated by commas.\cr
+cmyk    & Four numbers in the range 0 to 1 separated by commas.\cr
+gray    & One number in the range 0 to 1, with 0 indicating
+                  black, 1 white.\cr
+named   & A \MP{} color variable name either predefined by
                    \mfp{} or by the user.\cr}
+\caption{Color specifications}
+\label{fig:colorspecs}
+\end{figure}
 
-\medskip
-\Mfp{} translates
+\pagebreak[3]
+\Mfp{} translates the command:
 \begin{verbatim}
 \fillcolor[cmyk]{1,.3,0,.2}
 \end{verbatim}
-into the equivalent of
+into the equivalent of:
 \begin{verbatim}
 \fillcolor{cmyk(1,.3,0,.2)}.
 \end{verbatim}
-Note that when the optional model is specified, the color
-specification must \emph{not} be enclosed in parentheses. Note also that each
-model name is the name of a color function described in the previous
-subsection. That is how the models are implemented internally.
+Note that when the optional model is specified, the color specification
+must \emph{not} be enclosed in parentheses. Note also that each model
+name is the name of a color function described in the previous
+subsection. That is how the models are implemented internally. One sees
+from this that the optional argument is never necessary. It's there only
+to make the \LaTeX{} user comfortable.
 
 
 \subsection{Defining a color name}\label{colorname}
@@ -2086,7 +2259,7 @@ subsection. That is how the models are implemented internally.
 
 This defines a color variable \meta{name} for later use, either in the
 commands \cs{drawcolor}, etc., or in the optional parameters to
-\cs{draw}, etc. The name can be used alone or in the \opt{named} model.
+\cs{draw}, etc. The name can be used alone or in the \texttt{named} model.
 The mandatory \meta{model} and \meta{colorspec} are as above.
 
 \medskip
@@ -2097,11 +2270,12 @@ the \LaTeX{} \prog{color} package. In particular a color defined only by
 Conversely, \LaTeX{} commands will not recognize any color defined only
 by \cs{mfpdefinecolor}.
 
-\subsection{Color in \MF{}}\label{MFcolor}
+
+\subsection{\CMF{} colors}\label{MFcolor}
 
 \CMF{} was never meant to understand colors, but it certainly can be
 taught the difference between black and white and, to a limited extent,
-various grays. Starting with version 0.7, \mfp{} will no longer generate
+various grays. Starting with version 0.7, \mfp{} will not generate
 an error when a color-changing command is used under the \opt{metafont}
 option. Instead, when possible, the variables that represent colors in
 \MP{} will be converted to a numeric value between 0 and 1 in \MF{}. When
@@ -2136,11 +2310,11 @@ same effect as \cs{gclear}.
 
 \section{Modifying the figures.}\label{modifier}
 
-Some \mfp{} macros operate by \emph{modifying} a figure: if you want to
-turn an open arc into a closed figure by adding a straight line, you can
-write: \cs{lclosed}\cs{arc}\marg{(0,0),(1,0),45}. These are always
-prefixed to some figure drawing command, and apply only to the next
-following figure macro provided that only other prefix commands
+Some \mfp{} macros operate by \emph{modifying} a figure macro: if you
+want to turn an open arc into a closed figure by adding a straight line,
+you can write: \cs{lclosed}\cs{arc}\marg{(0,0),(1,0),45}. These are
+always prefixed to some figure drawing command, and apply only to the
+next following figure macro provided that only other prefix commands
 intervene. This is a rather long section, but even more modification
 prefixes are documented in subsection~\ref{transformation}.
 
@@ -2148,39 +2322,40 @@ The combination of a modifying macro, followed by a figure macro, can
 usually be thought of as a new figure macro, to which further prefixes
 might be prepended.
 
-More precisely: all prefix macros have an \emph{input}, an
-\emph{output}, and a side effect. The input and output are alway paths.
-The input is the path that is output by the \emph{following} prefix or
-figure macro. The output is either the same as the input or a
-modification of it. The side effect might be a drawing or filling of the
-path or the addition of an arrowhead.
+More precisely: all prefix macros have an \emph{input} path, an
+\emph{output} path, and a \emph{side effect}. The input is the path that
+is output by the \emph{following} prefix or figure macro. The output is
+either the same as the input or a modification of it. The side effect
+might be a drawing or filling of the path or the addition of an
+arrowhead.
 
 We list here a classifications of prefix and figure macros that is
 useful for understanding the \mfp{} system.
 
 \begin{description}
 
-\item[Figure macros.] These\index{figure macro} have no input; they must
-    come last in a sequence. They output the path they were designed to
-    produce. Examples are \cs{circle}, \cs{rect} and \cs{polygon}. If
-    they have no prefixes, or are preceded only by appending macros (see
-    next), they invoke a default rendering of the path (usually a
-    drawing as a solid stroke) as the side effect.
+\item[Figure macros.] These\index{figure macro} take no input path; they
+    must come last in a sequence. They output the path they were
+    designed to produce. Examples are \cs{circle}, \cs{rect} and
+    \cs{polygon}. If they have no prefixes, or are preceded only by
+    appending macros (see next), they invoke a default rendering of the
+    path (usually a drawing as a solid stroke) as the side effect.
 
-\item[Macros that append] These\index{prefix macro} pass their input
+\item[Apending macros] These\index{prefix macro} pass their input
     unchanged as their output. Their side effect is the appending of
-    some object such as an arrowhead. Currently only the various arrow
-    macros are appending macros (see subsection~\ref{arrows}). However,
-    \cs{reverse} (which technically modifies a path and has no side
-    effect) is coded as an appending macro so that it will work
-    correctly with arrows. Think of it as `appending' a new direction.
-
-\item[Macros that render] These\index{prefix macro} pass their
+    some object such as an arrow head or tail. Currently only the
+    various prefix macros whose names begin with \texttt{arrow} are
+    appending macros (see subsection~\ref{arrows}). But \cs{reverse},
+    which technically modifies a path and has no side effect, is coded
+    as an appending macro so that it will work correctly with arrows.
+    Think of it as `appending' a new direction.
+
+\item[Rendering macros] These\index{prefix macro} pass their
     input unchanged as their output. They have the side effect of adding
     or subtracting ink from a picture in the shape of the input path.
     Examples are \cs{draw}, \cs{dotted}, \cs{gfill} and \cs{gclip}.
 
-\item[Macros that modify] These\index{prefix macro} output the result of
+\item[Modifying macros] These\index{prefix macro} output the result of
     applying their intended modification to the input path. Examples are
     macros that close the path if it was open, macros that apply a
     transformation such as a rotation, and macros that return only a
@@ -2196,7 +2371,7 @@ useful for understanding the \mfp{} system.
 It should be pointed out that the closure macros will leave already
 closed paths unchanged, so it is always safe to add one when uncertain.
 Moreover, if the path is not closed but the endpoints are identical,
-\cs{lclosed} will close it without adding the (trivial) line segment.
+\cs{lclosed} and \cs{bclosed} will close it without adding any path segment.
 
 
 \begin{cd}\pagelabel{lclosed}
@@ -2246,13 +2421,14 @@ until those are discussed (subsection~\ref{splines}).
 \index{makesector@\cs{makesector}}
 \end{cd}
 
-The modifying macro \cs{makesector} can be applied to any path, but it
-make sense only if that path is an arc. It appends line segments from
-the center of the arc's circle to the ends of the arc, producing a
-closed path. It is useful if one doesn't know that center of the arc (a
-required parameter of \cs{sector}). It works by selecting the first
-point, a middle point, and the last point of the following path, then
-calculates the center of the circle through those three points.
+The modifying macro \cs{makesector} can be applied to any path, but its
+name makes sense (and its action is predictable) only if that path is an
+arc. It appends line segments from the center of the arc's circle to the
+ends of the arc, producing a closed path. It is useful if one doesn't
+know where the center of the arc is (a required parameter of
+\cs{sector}). It works by selecting the first point, a middle point, and
+the last point of the following path, then calculates the center of the
+circle through those three points.
 
 
 \subsection{Reversal, connection and other path modifications}%
@@ -2265,7 +2441,7 @@ calculates the center of the circle through those three points.
 
 This modifies the following path by reversing its sense. This will
 affect the direction of arrows: bi-directional arrows can be coded with
-\cs{arrow}\cs{reverse}\cs{arrow}$\ldots$, where the first \cs{arrow}
+\cs{arrow}\cs{reverse}\cs{arrow}$\ldots$, where the leftmost \cs{arrow}
 prefix applies to the \emph{reversed} path. The order of endpoints for
 the following \env{connect} environment will also be affected.
 
@@ -2298,9 +2474,12 @@ the \env{connect} environment, and the segment added by \cs{lclosed}.
 
 \begin{cd}\pagelabel{partpath}
 \cs{partpath}\marg{\meta{frac1},\meta{frac2}}\dots\\
-\cs{subpath}\marg{\meta{num1},\meta{num2}}\dots%
+\cs{subpath}\marg{\meta{num1},\meta{num2}}\dots\\
+\cs{trimpath}\marg{\meta{dim$_1$},\meta{dim$_2$}}\dots\\
+\cs{trimpath}\marg{\meta{dim}}\dots%
 \index{partpath@\cs{partpath}}%
-\index{subpath@\cs{subpath}}
+\index{subpath@\cs{subpath}}%
+\index{trimpath@\cs{trimpath}}%
 \end{cd}
 
 These macros modify the following path by producing only a part of it. In
@@ -2314,6 +2493,17 @@ two numbers should be between 0 and the number of B\'ezier segments in
 the path. This is mainly for experienced \MF{}ers and provides an \mfp{}
 interface to \MF{}'s `\mfc{subpath}' operation.
 
+The \cs{trimpath} macro takes two dimensions separated by commas and
+trims those lengths off the initial and terminal ends of the following path.
+Alternatively, it takes one dimension and and trims that length off of
+both ends. If any of \meta{dim$_1$}, \meta{dim$_2$} or \meta{dim} is
+missing, it is taken to be \dim{0pt}. This works by finding the points of
+intersection between the path and circles around the endpoints with the given
+dimensions as radii. If the path is shorter than either dimension, it
+will not intersect either circle and nothing will be trimmed. Similar
+problems can occur, at one end or the other, if the path is shorter than
+the sum of the dimensions.
+
 \begin{cd}\pagelabel{parallelpath}
 \cs{parallelpath}{\meta{dist}}$\ldots$
 \index{parallelpath@\cs{parallelpath}}
@@ -2382,23 +2572,14 @@ the value of the \TeX{} dimension \cs{headlen}, initially \dim{3pt}. The
 optional parameter \meta{rotate} allows the arrowhead to be rotated
 anticlockwise around its point an angle of \meta{rotate} degrees. The
 default is 0. The optional parameter \meta{backset} allows the arrowhead
-to be `set back' from its original point, thus allowing e.g. double
-arrowheads. This parameter is in the form of a \TeX{} dimension---its
-default value is \dim{0pt}. If an arrowhead is both rotated and set
-back, it is set back in the direction after the rotation. Actually,
-except on a straight line, a better way to set an arrowhead back might
-be something like
-\begin{ex}
-  \cs{arrow}\cs{trimpath}\marg{0,5pt}\cs{draw}\dots
-\end{ex}
-See subsection~\ref{misc} for the \cs{trimpath} macro. The optional
-\meta{color} defaults to \gbc{headcolor}. The optional parameters may
-appear in any order, the indicated key character determining the meaning
-of a parameter. The key letter \texttt{l} for `length' can be replaced
-by \texttt{s} for `size'. And, oddly enough, \texttt{b} for `backset'
-can be replaced by \texttt{f} for `forward' so that arrow tails (see
-below) can share the same internal code for identifying the meaning of
-the parameters.
+to be `set back' from its original point, thus allowing (for example)
+double arrowheads. This parameter is in the form of a \TeX{}
+dimension---its default value is \dim{0pt}. If an arrowhead is both
+rotated and set back, it is set back in the direction after the
+rotation. The optional \meta{color} defaults to \gbc{headcolor},
+initially black. The optional parameters may appear in any order, the
+indicated key character determining the meaning of a parameter. The key
+letter \texttt{l} for `length' can be replaced by \texttt{s} for `size'.
 
 There is also a star-form: If \cs{arrow} is called as \cs{arrow*}, then
 any part of the tip of the following curve that lies outside the
@@ -2470,10 +2651,12 @@ head will be filled, otherwise its outline will be drawn. Thus
 \gbc{Diamond} has been left open, while \gbc{SolidDiamond} has been
 defined to be closed.
 
-It is possible, to get an outline drawn with the inside erased:
-just place the solid version with color \mfc{white} and then the outline
-version. This can produce a pleasing result. But recall that the prefix
-macro nearest the figure macro is executed first. For example:
+It is possible, to get an outline drawn with the inside erased: just
+place the solid version with color \mfc{background} (usually the same as
+\mfc{white}) and then the outline version. This can produce a pleasing
+result. But recall that the prefix macro nearest the figure macro is
+executed first. For example:
+%
 \begin{verbatim}
 \arrowmid{Circle}\arrowmid{SolidCircle}[cwhite]\polyline{(0,0),(1,1)}
 \end{verbatim}
@@ -2632,7 +2815,7 @@ subsection~\ref{points}. A node is one of the points through which \MF{}
 draws its curve.  If one of the macros \cs{polyline}\marg{$\ldots$} or
 \cs{curve}\marg{$\ldots$} follows, each of the points listed is a node.
 In the \cs{datafile} command (subsection~\ref{external}), each of the
-data points in the file is. In the function macros
+data points in the file is a node. In the function macros
 (subsection~\ref{plotting}) the points corresponding to \meta{min},
 \meta{max} and each step in between are nodes. The optional \meta{size}
 defaults to \cs{pointsize}. If the command \cs{clearsymbols} has been
@@ -2772,9 +2955,9 @@ path might be open and may need to be explicitly closed, for example by
     \cs{chartbar} (and its aliases),\\
   \cs{circle}, \cs{ellipse}, \cs{levelcurve}, \cs{makesector},
     \cs{piewedge}, \cs{plrregion},\\
-  \cs{polygon}, \cs{rect}, \cs{regpolygon}, \cs{sector},
-    \cs{tlabelcircle}, \cs{tlabelellipse},\\
-  \cs{tlabeloval}, and \cs{tlabelrect}.
+  \cs{polygon}, \cs{pshcircle}. \cs{rect}, \cs{regpolygon},
+    \cs{sector}, \cs{tlabelcircle},\\
+  \cs{tlabelellipse}, \cs{tlabeloval}, and \cs{tlabelrect}.
 \end{display}
 
 The macros of this section can all be used to fill (or unfill) the
@@ -2859,7 +3042,7 @@ This rendering macro fills the interior of a closed path with large
 dots. This is almost what \cs{shade} does, but there are several
 differences. \cs{shade} is intended solely to simulate a gray fill in
 \MF{} where the only color is black. So it is optimized for small dots
-aligned to the pixel grid (in \MF{}). In \MP{} all it does is fill with
+aligned to the pixel grid (in \MF{}). In \MP{} \cs{shade} only fills with
 gray and is intended merely for compatibility. The macro \cs{polkadot}
 is intended for large dots in any color, and so it optimizes spacing (a
 nice hexagonal array) and makes no attempt to align at the pixel level.
@@ -3054,7 +3237,7 @@ variable \gbc{pi} produces $\pi$, accurate to roughly 5 decimals.
 (\CMF{} and \MP{} provide accuracy only to $\pm2^{-17} = \pm
 .76\times10^{-5}$.)
 
-The integer functions \gbc{gcd(m,n)} and \gbc{lcm(n,m)} produce the
+The integer functions \gbc{gcd(m,n)} and \gbc{lcm(m,n)} produce the
 greatest common divisor and least common multiple of two integers
 \gbc{m} and \gbc{n}.
 
@@ -3118,8 +3301,8 @@ $y(\mathtt{t})$ enclosed in parentheses and separated by a comma, with
 the literal variable \texttt{t}. Alternatively, the last argument can be
 a \MF{} function or expression in \texttt{t} that returns a pair.%
     \footnote{There are very few of these. \CMF{} provides \mfc{dir t},
-    which is essentially \mfc{(cosd t, sind t)}. \Mfp{} adds \gbc{cis
-    t}, which is the radian version \mfc{(cos t, sin t)}.}
+    which is essentially \mfc{(cosd t, sind t)}. \Mfp{} adds \gbc{cis t}
+    which is \gbc{(cos t, sin t)}.}
 The default \meta{spec} is \texttt{s}. For example
 \begin{verbatim}
 \parafcn{0,1,.1}{(2t, t+t*t)}
@@ -3229,7 +3412,7 @@ shading. However, drawing the boundary is often needed:
 \shade\plrregion{0,90,5}{sind (2t)}
 \plrregion[s]{0,90,5}{sind (2t)}
 \end{verbatim}
-shades one loop of the 4-petal rosette, and then draws it..
+shades one loop of the 4-petal rosette, and then draws it.
 
 \begin{cd}\pagelabel{levelcurve}
 \cs{levelcurve}\oarg{\meta{spec}}\marg{\meta{seed},\meta{step}}
@@ -3274,21 +3457,29 @@ example, \cs{mfpicunit=1cm} and no scaling is used), then
 set is reasonably smooth and \oarg{s} is used, then the result will
 match the actual curve to within .005cm, which is approximately .14pt,
 which is less than half the thickness of the standard pen used to draw
-it. If you \emph{only} intend to fill it, you might want a little more
-accuracy. There is a lower limit: there should not be
-more than 2000 steps in the curve. In a figure 10-by-10 graph units, a
-level curve without too much oscillation could be about 80 units in
-length and a step size of .04 would produce about 2000 steps.
+it.
+
+Be warned that there is a limit: there should not be more than 2000
+steps in the completed curve. In a figure which is 10-by-10 graph units,
+a level curve without too much oscillation would probably be less than
+80 units in length and a step size of .04 would probably produce under
+2000 steps. This should be accurate enough for most purposes. If you
+\emph{really} need more, the value of the \MF{} variable
+\verb$max_points$ must be changed. This can be done with
+\cs{setmfvariable} (see section~\ref{variables}).
 
 As a special case, if \meta{step} is 0, the maximum of width and height
 of the figure (as given by the arguments to the \env{mfpic} environment)
 is divided by 100. For example, in a 5-by-10 graph, giving a step size
 of $0$ will actually select \meta{step}${}= 10/100 = 0.1$.
 
-The algorithm used will produce incorrect results if parts of the curve
-that are distant (as measured \emph{along} the curve) are closer than
-\meta{step} in actual distance.
+The algorithm used will produce incorrect results if there are two
+points on the curve closer that \meta{step} in straight-line distance,
+but much further apart when measured along the curve.
 
+The algorithm used will produce incorrect results if two points of the
+curve that are distant (as measured along the curve) are closer than
+\meta{step} in straight-line distance.
 
 \subsection{Plotting external data files}\label{external}
 
@@ -3344,22 +3535,24 @@ and `\cs{polyline}\cs{datafile}', and no difference between
 `\cs{datafile}\oarg{s}' and `\cs{curve}\cs{datafile}'.
 Here is the full list (omitting aliases) of \mfp{} macros that allow
 this usage of \cs{datafile}\index{datafile@\cs{datafile}}:
+
 \begin{itemize}
 \raggedright
-\item Numeric data: \cs{piechart}, \cs{barchart}, \cs{numericarray},
-    \cs{dashpattern} and
-    all the axis marks commands.
+\item Numeric data:
+    \cs{barchart}, \cs{dashpattern}, \cs{numericarray},
+    \cs{piechart}, and all the axis marks commands.
 \item Point or vector data:
-    \cs{closedcomputedspline}, \cs{closedcspline}, \cs{closedmfbezier},
-    \cs{closedqbeziers}, \cs{closedqspline}, \cs{computedspline},
-    \cs{convexcurve}, \cs{convexcyclic}, \cs{cspline}, \cs{curve},
-    \cs{cyclic}, \cs{fcncurve}, \cs{fcnspline}, \cs{mfbezier},
-    \cs{pairarray}, \cs{periodicfcnspline}, \cs{plotsymbol}, \cs{point},
-    \cs{polygon}, \cs{polyline}, \cs{putmfpimage} \cs{qbeziers}, \cs{qspline},
+    \cs{cbeziers}, \cs{closedcbeziers}, \cs{closedcomputedspline},
+    \cs{closedcspline}, \cs{closedmfbezier}, \cs{closedqbeziers},
+    \cs{closedqspline}, \cs{computedspline}, \cs{convexcurve},
+    \cs{convexcyclic}, \cs{cspline}, \cs{curve}, \cs{cyclic},
+    \cs{fcncurve}, \cs{fcnspline}, \cs{mfbezier},
+    \cs{periodicfcnspline}, \cs{plotsymbol}, \cs{point}, \cs{polygon},
+    \cs{polyline}, \cs{putmfpimage}, \cs{qbeziers}, \cs{qspline},
     \cs{turtle}, and \cs{pairarray}.
 \end{itemize}
-In addition, \cs{setmfarray} and \cs{globalsetarray} can be used with
-either numeric or pair data.
+In addition \cs{setarray} and \cs{globalsetarray} (with the numeric or
+pair data type) allow this usage.
 
 \begin{cd}\pagelabel{mfpdatacomment}
 \cs{mfpdatacomment}\cs{}\meta{char}%
@@ -3551,10 +3744,11 @@ patterns should be names of patterns defined through the use of
 \MP{}, or defined through \cs{mfpdefinecolor}. The symbols can be any of
 those listed with the \cs{plotsymbol} command (see
 subsection~\ref{points}), or any known \MF{} path variable. The colors
-can also be \MP{} expressions of type color, and the symbols can be
-expressions of type path. Within a \env{mfpic} environment, the changes
-made are local to that environment. Outside, they affect all subsequent
-environments.
+can also be \MP{} color constants or expressions, and the symbols can be
+expressions of type path. In recent \MP{} these `colors' can be
+\kw{numeric} (selecting gray), \kw{rgbcolor} or \kw{cmykcolor}. Within a
+\env{mfpic} environment, the changes made are local to that environment.
+Outside, they affect all subsequent environments.
 
 Using \cs{reconfigureplot}\marg{colors} under the \opt{metafont} option
 will have no effect, but may produce an error from \MF{} unless the
@@ -3808,10 +4002,15 @@ file, preceded by the \MP{} command \mfc{verbatimtex} and followed by
 \cs{mfpverbtex} command must come before any \cs{tlabel} that is to be
 affected by it. Any settings common to all \env{mfpic} environments
 should be in a \cs{mfpverbtex} command preceding all such environments.
+
 It may be issued at any point after \mfp{} is loaded, and any number of
-times. If it is issued before \cs{opengraphsfile}, its contents are
-saved and written by that command. Therefore, it should occur only once
-before the \cs{opengraphsfile} command.
+times. If it is issued after \cs{opengraphsfile}, its contents are
+immediately written to the \file{.mp} file. If it is issued before
+\cs{opengraphsfile}, its contents are saved and written when the file is
+opened (successive uses being cummulative). In this case its contents
+will precede the boilerplate \TeX{} code that \mfp{} writes. If you wish
+to redefine some of that code, you need to use \cs{mfpverbtex} after
+\cs{opengraphsfile}.
 
 Because of the way \MP{} handles \mfc{verbatimtex} material, the effects
 cannot be constrained by any grouping unless one places \TeX{} grouping
@@ -4068,8 +4267,9 @@ file, \mfp{} detects that the \file{.tfm} file is missing or that
 the first \MP{} figure file \file{\meta{file}.1} is missing. In these
 cases, the \env{mfpic} environment draws only a rectangular frame with
 dimensions equal to the nominal size of the picture, containing the
-figure name and number (and any \TeX{} labels). The command(s) used
-internally to do this are made available to the user.
+figure number (and any text placed by \cs{tlabel} and its relatives
+without \opt{mplabels} in effect). The command(s) used internally to do
+this are made available to the user.
 
 \begin{cd}\pagelabel{mfpframe}
 \cs{mfpframe}\oarg{\meta{fsep}}%
@@ -4090,8 +4290,8 @@ dimensions \cs{mfpframesep} and \cs{mfpframethickness} are \dim{2pt} and
 version is preferred around \env{mfpic} environments or verbatim
 material since it avoids reading the enclosed material before
 appropriate \cs{catcode} changes go into effect. In \LaTeX{}, one can
-also use the \cs{begin}\marg{mfpframe} $\ldots$ \cs{end}\marg{mfpframe}
-syntax.
+also use environment syntax: \cs{begin}\marg{mfpframe} $\ldots$
+\cs{end}\marg{mfpframe}.
 
 An alternative way to frame \env{mfpic} pictures is to save them with
 \cs{savepic} (see previous section) and issue a corresponding
@@ -4120,7 +4320,8 @@ affine transforms.
 All affine transforms are restricted to the innermost enclosing
 \cs{coords}$\ldots$\cs{endcoords} pair.  If there is \emph{no} such
 enclosure, then the transforms will apply to the rest of the \env{mfpic}
-environment. In \LaTeX{}, a \env{coords} environment may be used.
+environment. In \LaTeX{}, one can use the environment named
+\env{coords}.
 
 \medskip
 \noindent Transforms provided by \mfp{}:
@@ -4203,7 +4404,10 @@ $S T z$ usually means to apply $S$ to the result of $T z$).
 Finally, some of these may not produce what the unwary user might expect
 if the \env{mfpic} environment was started with unequal scaling. For
 example, in such a case a rotated rectangle will not have right angles
-unless the rotation is by a multiple of 90 degrees.
+unless the rotation is by a multiple of 90 degrees. The reason for this:
+the scaling given by the \cs{mfpic} command is applied last and
+slanted lines subjected to unequal horizontal and verical scaling will
+change have their angles changed.
 
 
 \subsection{Transforming paths}\label{transformation}
@@ -4414,7 +4618,10 @@ the previous subsection do it.
 For \MF{} or \MP{} power users, \cs{transformpath} can take any
 `transformer' and transform the following path with it. Here, a
 \emph{transformer} is the same as in the previous section. Examples are
-\mfc{scaled}, \mfc{shifted(1,1)}, and \mfc{rotatedabout(0,1)}.
+\mfc{scaled}, \mfc{shifted(1,1)}, and \mfc{rotatedabout(0,1)}. Note that
+using this last transformer with \cs{transformpath} is almost like
+\cs{rotatepath}\marg{(0,1)}, but it does not compensate for different
+scales.
 
 All these prefixes change only the path that follows, not any rendering
 of it that follows. For example:
@@ -4589,10 +4796,10 @@ the ratio of the width of the arrowhead to its length; \meta{tension} is
 the tension of the B\'ezier curves; and \meta{filled} is a \MF{} boolean
 value indicating whether the arrowheads are to be filled (if \mfc{true})
 or open. The initial values are $1$, $1$, and \mfc{false}, respectively.
-Setting \meta{tension} to `\mfc{infinity}' will make the sides of the
-arrowheads straight lines. The harpoon heads are arranged to be exactly
-half of the full arrowhead. The \meta{ratio}, \meta{tension} and
-\meta{filled} values are stored by \MF{}.
+Setting \meta{tension} to the literal keyword `\mfc{infinity}' will make
+the sides of the arrowheads straight lines. The harpoon heads are
+arranged to be exactly half of the full arrowhead. The \meta{ratio},
+\meta{tension} and \meta{filled} values are stored by \MF{}.
 
 After \cs{headshape} is used, the symbols \gbc{Arrowhead},
 \gbc{Leftharpoon}, and \gbc{Rightharpoon} take on the new shape if used
@@ -4746,7 +4953,7 @@ These dimensions store the height and width of the figure created by the
 most recently completed \env{mfpic} environment. This might perhaps be
 of interest to hackers or to aid in precise positioning of the graphics.
 They are meant to be read-only: the \cs{endmfpic} command globally sets
-them equal to the height and width of the picture. But \mfp{} does not
+them equal to the height and width of the picture, but \mfp{} does not
 otherwise make any use of them. As they are not to be changed, grouping
 is irrelevent, but when \mfp{} sets them, it does so globally. These are
 set even if the picture is saved with \cs{savepic}. If they are needed
@@ -4782,7 +4989,7 @@ setting is \cs{medskipamount}, producing the same space as a
 \index{closedcspline@\cs{closedcspline}}%
 \end{cd}
 
-These figure macros use alternate ways of defining curves. In each case,
+These figure macros use alternative ways of defining curves. In each case,
 \meta{list} is a comma separated list of ordered pairs. These represent
 not the points the curve passes through, but the \emph{control points}.
 The first two produce quadratic B-splines and the last two produce cubic
@@ -4813,6 +5020,10 @@ do not uniquely determine the control points so extra equations are
 required. For the first version, the extra equations give the path zero
 curvature at the endpoints (a \emph{relaxed} spline). For the closed
 version, the extra equations are those that close the curve smoothly.
+The portions of the spline that connect one node to the next are
+parametrized cubic B/'eziers, they are computed so that the first and
+second derivatives (with respect to the parameter) of adjacent curves
+match at the common node.
 
 \begin{cd}\pagelabel{fcnspline}
 \cs{fcnspline}\marg{\meta{list}}\\
@@ -4821,12 +5032,13 @@ version, the extra equations are those that close the curve smoothly.
 \index{periodicfcnspline@\cs{periodicfcnspline}}%
 \end{cd}
 
-These figure macros use cubic spline equations to produce a smooth graph
-of a function based on a list of points with increasing $x$-values. See
-\cs{fcncurve} in section~\ref{curves} for another way to do this. As in
-the computed splines, above, the spline equations at the nodes do not
-provide sufficient information to compute all control points. In the
-basic version, \cs{fcnspline}, extra equations produce a graph with zero
+These figure macros use cubic spline equations (as in
+\cs{computedspline} above) to produce a smooth graph of a function based
+on a list of points with increasing $x$-values. See \cs{fcncurve} in
+section~\ref{curves} for another way to do this. As in the computed
+splines, above, the spline equations at the nodes do not provide
+sufficient information to compute all control points. In the basic
+version, \cs{fcnspline}, extra equations produce a graph with zero
 curvature at the endpoints (a relaxed spline), while the periodic
 version uses equations that make the first and second derivatives at the
 last point match those at the first point.
@@ -4879,22 +5091,48 @@ know that if you are a power user). Quadratic B\'eziers (as in
 \LaTeX{}'s picture environment) can be obtained with the following:
 
 \begin{cd}\pagelabel{qbeziers}
-  \cs{qbeziers}\oarg{\meta{tens}}\marg{\meta{list}}\\
-  \cs{closedqbeziers}\oarg{\meta{tens}}\marg{\meta{list}}%
+  \cs{qbeziers}\marg{\meta{list}}\\
+  \cs{closedqbeziers}\marg{\meta{list}}%
 \index{qbeziers@\cs{qbeziers}}%
 \index{closedqbeziers@\cs{closedqbeziers}}
 \end{cd}
 
-These figure macros produce quadratic B\'ezier curves, the equivalent of
-a sequence of \LaTeX{} \cs{qbezier} commands. Note the plural forms, to
-distinguish the first from the \LaTeX{} command, and to indicate that
-they can draw a \emph{series} of quadratic B\'eziers. In the
-\meta{list}, the first, third, fifth, etc., are the points to connect,
-while the second, fourth, etc., are the control points. The open version
-requires an ending point, and so needs an odd number of points in the
-list. The closed version assumes the first point is the ending, and so
-requires an even number in the list. The curve will not automatically be
-smooth. That depends on the choice of the control points.
+These figure macros produce \emph{quadratic} B\'ezier curves, the
+equivalent of a sequence of \LaTeX{} \cs{qbezier} commands. Note the
+plural forms, to distinguish the first from the \LaTeX{} command, and to
+indicate that they can draw a \emph{series} of quadratic B\'eziers.
+
+In the \meta{list}, the first, third, fifth, etc., are the points to
+connect, while the second, fourth, etc., are the control points. The
+open version requires an ending point, and so needs an odd number of
+points in the list. The closed version assumes the first point is the
+ending, and so requires an even number in the list. If the number of
+ponts is wrong, no error is produced: the last point is simply repeated
+to get the required number.
+
+The curve will not automatically be smooth; that depends on the choice
+of the control points.
+
+\begin{cd}\pagelabel{cbeziers}
+  \cs{cbeziers}\marg{\meta{list}}\\
+  \cs{closedcbeziers}\marg{\meta{list}}%
+\index{cbeziers@\cs{cbeziers}}%
+\index{closedcbeziers@\cs{closedcbeziers}}
+\end{cd}
+
+These figure macros produce a series of \emph{cubic} B\'ezier curves. In
+the \meta{list}, the first, fourth, seventh, etc., are the points to
+connect, while the second and third, fifth and sixth, etc., are pairs of
+control points. The closed version uses the starting point as the ending
+point, and so needs a number of points divisible by $3$ ($n=3k$). The
+open version requires an explicitly given ending node (so $n=3k+1$).
+If the number of ponts is wrong, no error is produced: the last point
+or last two points are simply repeated to get the required number.
+
+The curves will not automatically be smooth; that depends on the choice
+of the control points. Cubic B\'eziers are how curves are represented in
+PostScript files, and how a number of vector drawing programs represent
+curves.
 
 \subsection{Raw \MF{} code}\label{mfcode}
 
@@ -4945,6 +5183,7 @@ box with yellow background.
 \cs{setmfvariable}\marg{\meta{type}}\marg{\meta{name}}\marg{\meta{value}}\\
 \cs{setmpvariable}\marg{\meta{type}}\marg{\meta{name}}\marg{\meta{value}}\\
 \cs{globalsetmfvariable}\marg{\meta{type}}\marg{\meta{name}}\marg{\meta{value}}\\
+\cs{globalsetmpvariable}\marg{\meta{type}}\marg{\meta{name}}\marg{\meta{value}}\\
 \cs{setmfnumeric}\marg{\meta{name}}\marg{\meta{value}}\\
 \cs{setmfpair}   \marg{\meta{name}}\marg{\meta{value}}\\
 \cs{setmfboolean}\marg{\meta{name}}\marg{\meta{value}}\\
@@ -4952,6 +5191,7 @@ box with yellow background.
 \index{setmfvariable@\cs{setmfvariable}}%
 \index{setmpvariable@\cs{setmpvariable}}%
 \index{globalsetmfvariable@\cs{globalsetmfvariable}}%
+\index{globalsetmpvariable@\cs{globalsetmpvariable}}%
 \index{setmfnumeric@\cs{setmfnumeric}}%
 \index{setmfpair@\cs{setmfpair}}%
 \index{setmfboolean@\cs{setmfboolean}}%
@@ -4959,33 +5199,45 @@ box with yellow background.
 \end{cd}
 
 These formerly internal \mfp{} macros can be use to define symbolic
-names for any \MF{} or \MP{} variable type. The first two are
-interchangeable; you can use either one with or without the
-\opt{metapost} option. The remaining four are abbreviations. For
-example, \cs{setmfpair}\marg{X}\marg{(2,0)} is the same as
-\cs{setmfvariable}\marg{pair}\marg{X}\marg{(2,0)}. Note that these
-overwrite any variable with the specified \meta{name}. For certain
-internal names, \MF{} will issue an error, but usually the variable is
-silently redefined. For the four abbreviations, there is no ``mp''
-version, but they may be used with either the \opt{metapost} or
-\opt{metafont} options.
+names for any \MF{} or \MP{} variable type. The last four are
+abbreviations for the first used with an appropriate value for
+\meta{type}. For example,
+\cs{setmfvariable}\marg{pair}\marg{X}\marg{(2,0)} can be abbreviated
+\cs{setmfpair}\marg{X}\marg{(2,0)}. Note that these overwrite any
+variable with the specified \meta{name}. For certain internal names,
+\MF{} will issue an error, but usually the variable is silently
+redefined.
+
+The commands \cs{setmpvariable} and \cs{globalsetmpvariable} (note the
+\texttt{mp} instead of \texttt{mf}) are just alternative spellings . You
+can use either spelling with either the \opt{metafont} or \opt{metapost}
+option.
 
 The \meta{value} must be a constant of the appropriate type or a \MF{}
 expression returning the appropriate type. It can also be (or include)
-other variables previously defined.
+other variables previously defined. The \cs{setmfcolor} command has been
+enhanced so that in recent \MP{} the \meta{value} can be any of the
+three types of colors \MP{} allows: \kw{numeric} (for grayscale color),
+\kw{rgbcolor} or \kw{cmykcolor}. The data type of \meta{value} will be
+examined, and the variable \meta{name} will be declared to be a variable
+of the appropriate type. The same is true of
+\cs{setmfvariable}\marg{color}.
 
 As an example of their use, since dimensions are numeric data types in
 \MF{}, the command
 \begin{verbatim}
-\setmfnumeric{my_dim}{7pt}
+\setmfnumeric{my_spc}{5pt}
+\setmfnumeric{my_dia}{.8pt}
 \end{verbatim}
-would set the \MF{} variable \verb$my_dim$ to the value \texttt{7pt}.
-After that, \verb$my_dim$ can be used in any \emph{drawing} command
-where a dimension is required:
+would set the \MF{} variables \verb$my_spc$ and \verb$my_dia$ to the
+values \texttt{5pt} and \texttt{.8pt}, respectively. After that, these
+variables can be used in any \emph{drawing} command where a dimension is
+required:
 \begin{verbatim}
-\plotsymbol[my_dim]{Triangle}\rect{(0,0),(1,1)}
+\plot[my_dia,my_spc]{Triangle}\rect{(0,0),(1,1)}
 \end{verbatim}
-will plot the rectangle with small triangles spaced \dim{7pt} apart.
+will plot the rectangle with small triangles of diameter \dim{.8pt},
+spaced \dim{5pt} apart.
 
 The knowledgeable user may realize that \mfc{path} and \gbc{picture} are
 \MF{} data types, and may want use them in \cs{setmfvariable}. It is
@@ -4996,7 +5248,7 @@ most \mfp{} commands produce would be meaningless to \MF{}. You can
 store the path produced by figure macros with \cs{store}, and store
 pictures in variables with \cs{mfpimage} or even \cs{tile}.
 
-With the obvious exception of \cs{globalsetmfvariable} command, these
+With the obvious exception of the \cs{globalsetmfvariable} command, these
 commands define the variable locally. That is, the variable will revert
 to any previous definition (or become undefined) at the end of the
 \env{mfpic} environment it is defined in. It is in fact local to any
@@ -5008,14 +5260,14 @@ A warning about variable names. \CMF{} and \MP{} allow multi-part
 variable names like `\mfc{arrowhead length}' or `\mfc{X.r}' The part
 after the first space or `.' is called a \mfc{suffix}. In \MF{},
 variable settings are global unless explicitly made local. The code of
-the \cs{setmf...} commands does this. However, \MF{} syntax forbids this
-localization when a variable name has a suffix. Moreover, if you
-localize a variable, \MF{} will localize all variables with that name
-plus any suffix. Even more, localizing a variable renders all variables
-with the same name plus suffix locally undefined. The command
-\cs{globalsetmfvariable} simply omits the localization part, so suffixes
-are permitted, but it cannot `globalize' something that has previously
-been localized within the same group.
+the \cs{set...} commands does make the variable setting local. However,
+\MF{} syntax forbids this localization when a variable name has a
+suffix. Moreover, if you localize a variable, \MF{} will localize all
+variables with that name plus any suffix. Even more, localizing a
+variable renders all variables with the same name plus suffix locally
+undefined. The command \cs{globalsetmfvariable} simply omits the
+localization part, so suffixes are permitted, but it cannot `globalize'
+something that has previously been localized within the same group.
 
 For example, suppose you use the example code in subsection~\ref{arrows}
 and define a custom arrowhead path \gbc{myAH} and the corresponding
@@ -5065,19 +5317,21 @@ reason, the definitions it makes are global.
 \LaTeX{}-style environment called \env{patharr}---as in
 \cs{begin}\marg{patharr}$\ldots$\cs{end}\marg{patharr}.
 
-\begin{cd}\pagelabel{setmfarray}
-\cs{setmfarray}\marg{\meta{type}}\marg{\meta{var}}\marg{\meta{list}}\\
-\cs{setmparray}\marg{\meta{type}}\marg{\meta{var}}\marg{\meta{list}}\\
-\cs{globalsetmfarray}\marg{\meta{type}}\marg{\meta{var}}\marg{\meta{list}}\\
+\begin{cd}\pagelabel{setarray}
+\cs{setarray}\marg{\meta{type}}\marg{\meta{var}}\marg{\meta{list}}\\
+\cs{globalsetarray}\marg{\meta{type}}\marg{\meta{var}}\marg{\meta{list}}\\
 \cs{pairarray}\marg{\meta{var}}\marg{\meta{list-of-points}}\\
 \cs{numericarray}\marg{\meta{var}}\marg{\meta{list-of-numbers}}\\
-\cs{colorarray}\marg{\meta{var}}\marg{\meta{list-of-colors}}%
-\index{setmfarray@\cs{setmfarray}}%
-\index{setmparray@\cs{setmparray}}%
-\index{globalsetmfarray@\cs{globalsetmfarray}}%
+\cs{colorarray}\marg{\meta{var}}\marg{\meta{list-of-colors}}\\
+\cs{rgbcolorarray}\marg{\meta{var}}\marg{\meta{list-of-rgbcolors}}\\
+\cs{cmykcolorarray}\marg{\meta{var}}\marg{\meta{list-of-cmykcolors}}%
+\index{setarray@\cs{setarray}}%
+\index{globalsetarray@\cs{globalsetarray}}%
 \index{pairarray@\cs{pairarray}}%
 \index{numericarray@\cs{numericarray}}%
-\index{colorarray@\cs{colorarray}}
+\index{colorarray@\cs{colorarray}}%
+\index{rgbcolorarray@\cs{rgbcolorarray}}%
+\index{cmykcolorarray@\cs{cmykcolorarray}}
 \end{cd}
 
 These enable the simultaneous definition of variables.
@@ -5092,12 +5346,14 @@ the given points in that order. And then
 \end{verbatim}
 will draw the lines connecting these four points. The index may
 optionally be put in square brackets and may be separated from the name
-by any number of spaces. If a numeric expression is used instead of an
-explicit number, square brackets \emph{must} surround it: \gbc{X[1+1]},
+by any number of spaces. That is, \verb$\polyline{X[1],X[2]}$
+and \verb$\polyline{X 1,X  2}$ are the same as \verb$\polyline{X1,X2}$
+to \MF{}. If a numeric \emph{expression} is used instead of an explicit
+number, square brackets \emph{must} surround it: \gbc{X[1+1]},
 \gbc{X[2]}, \gbc{X2} and \gbc{X 2} are all the same. For all these array
 commands, the variable \gbc{X} by itself (not followed by any digit or
 brackets) becomes a numeric variable equal to the number of elements in
-the array. Except for \cs{globalsetmfarray}, the arrays are defined
+the array. Except for \cs{globalsetarray}, the arrays are defined
 locally if these commands occur in an \env{mfpic} environment, global
 otherwise.
 
@@ -5107,6 +5363,10 @@ used in commands that position text unless \opt{mplabels} is in effect.
 Variables may be used in the \meta{list} parameters of commands,
 but they must have been previously defined or otherwise known to \MF{}.
 
+Since arrays must all be variables of the same type, one cannot mix rgb
+and cmyk colors. The \verb$\colorarray$ command requires rgb colors (for
+compatibility with early \MP{}).
+
 Several commands in \mfp{} define arrays of objects that can be used in
 other commands. The main ones are \cs{regpolygon}, \cs{piechart} and
 \cs{barchart}. These arrays are always global (either because their
@@ -5174,8 +5434,8 @@ obtained with $\mbox{\meta{num}} = .5$. If the \meta{num} is a pure
 number, the parentheses can be omitted, but they are required if it is
 any other numeric expression. Values of \meta{num} larger than 1 or
 less than zero produce points on the line that lie outside the segment
-from $p_1$ to $p_2$. This operator can also be applied to
-numbers or (in \MP{}) to colors. So that \mfc{(2/3)[3,6] = 5} and
+from $p_1$ to $p_2$. This operator can also be applied to numbers or (in
+\MP{}) to colors (of the same type). So that \mfc{(2/3)[3,6] = 5} and
 \mfc{.7[green,blue] = (0,.3,.7)}.  See section~\ref{colors} for a
 description of colors in \MP{} and \MF{}.
 
@@ -5206,6 +5466,27 @@ take the fraction of a path length as a parameter.
 The \gbc{pathpoint} command is not a basic \MF{} command, but is defined
 by the \prog{grafbase} macros that accompany \mfp{}.
 
+\MF{} pairs can conveniently be viewed as complex numbers. So
+\file{grafbase} also contains some functions useful in complex analysis
+(my research field). In what follows \gbc{a}, \gbc{z} and \gbc{w} denote
+pair variables or constants, and each function interprets them as
+complex numbers. Also \gbc{t} denotes an angle in radians. There are
+both numeric and pair valued functions, the type of each is noted after
+the description:
+
+\noindent
+\begin{tabular}{@{}ll}
+\gbc{Arg z}         & The principle argument of $z$ in radians (numeric).\\
+\gbc{Log z}         & The principle logarithm of $z$ (pair).\\
+\gbc{cis t}         & $(\cos t, \sin t)$, same as \gbc{dir degrees(t)} (pair).\\
+\gbc{zexp w}        & The complex exponential, $e^w$ (pair).\\
+\gbc{sgn z}         & The signum, $\sgn (0,0) = (0,0)$ otherwise $\sgn z = z/|z|$ (pair).\\
+\gbc{conj z}        & The complex conjugate, $\bar z$ (pair).\\
+\gbc{Moebius(a) z}  & The M\"obius transformation $(z+a)/(1+\bar{a}z)$ (pair)\\
+\gbc{pshdist(z,w)}  & The pseudohyperbolic distance between $z$ and
+        $w$: $|z-w| / |1-\bar{w}z|$ (numeric).
+\end{tabular}
+
 
 \subsection{Manipulating \MF{} picture variables}
 
@@ -5225,7 +5506,7 @@ interior of closed paths. Actually, a tile is a composite object. After
 \gbc{Nick.ht}. These are needed by the \cs{tess} command, below.
 
 The units of drawing are given by \meta{unit}, which should be an
-explicit dimension (like \dim{1pt} or \dim{2in}). The tile's horizontal
+explicit dimension (like \dim{1pt} or \dim{.2in}). The tile's horizontal
 dimensions are $0$ to $\meta{wd}\cdot\meta{unit}$ and its vertical
 dimensions $0$ to $\meta{ht}\cdot\meta{unit}$, so \meta{wd} and
 \meta{ht} should be pure numbers. If \meta{clip} is \mfc{true} then the
@@ -5270,7 +5551,7 @@ a picture:
 
 This take the name of a picture variable and copies the picture at each
 location in the \meta{list}, which should be a comma-separated list of
-coordinate pairs in graph coorcinates. The picture is copied so that its
+coordinate pairs in graph coordinates. The picture is copied so that its
 \emph{reference point} is placed at each of the locations. The reference
 point of a picture created with \cs{tile} is its lower left corner.
 
@@ -5306,17 +5587,18 @@ center point $(1,1)$. One can then write something like
 to get a 4-by-4 chessboard: the picture \mfc{Jan} copied with its
 center at each of the listed points.
 
-The behavior of \cs{tlabel}\,s in an \env{mfpimage} environment depends
-on the setting.  If \opt{mplabels} is turned off, then labels are added
-by \TeX{} and are \emph{not} included as part of the named \MF{} or
-\MP{} picture variable. If \opt{mplabels} is turned on and
-\opt{overlaylabels} is also turned on, or if the \env{mfpimage}
-environment is between \cs{startbacktext} and \cs{stopbacktext}, then
-the labels will be saved and placed when the \env{mfpic} environment
-ends and \emph{not} added to the named picture variable. Thus, to
-include text labels in the named picture variable, you must have
-\opt{mplabels} on, \opt{overlaylabels} off, and \env{mfpimage} outside
-any \cs{startbacktext}\slash\cs{stopbacktext}.
+The behavior of \cs{tlabel} in an \env{mfpimage} environment depends on
+the setting.  If \opt{mplabels} is turned off, then labels are added by
+\TeX{} and are \emph{not} included as part of the named \MF{} or \MP{}
+picture variable. They are placed on the current picture as if the
+\env{mfpimage} environment were not there at all. If \opt{mplabels} is
+turned on and \opt{overlaylabels} is also turned on, or if the
+\env{mfpimage} environment is between \cs{startbacktext} and
+\cs{stopbacktext}, then the labels will be saved and placed when the
+\env{mfpic} environment ends and \emph{not} added to the named picture
+variable. Thus, to include text labels in the named picture variable,
+you must have \opt{mplabels} on, \opt{overlaylabels} off, and
+\env{mfpimage} outside any \cs{startbacktext}\slash\cs{stopbacktext}.
 
 The picture created by \cs{mfpimage} is locally defined. That is, it
 becomes undefined at the end of the current \env{mfpic} environment. If
@@ -5327,24 +5609,28 @@ the command
   \globalsetmfvariable{picture}{Dan}{Jan}
 \end{verbatim}
 would make \gbc{Dan} globally defined to be equal to the current value
-of the picture \gbc{Jan}.
+of the picture \gbc{Jan}. Note that picture variables can consume a lot
+of \MF{}'s memory. Copying one variable to another doubles the amount of
+memory, at least until the end of the \env{mfpic} environment.
 
 You can use \cs{putmfpimage} inside a \env{mfpimage} environment,
 provided the picture being placed has been previously defined. Nesting a
-\env{mfpimage} inside another has not been completely tested and is not
-recommended. One can use the \LaTeX{} environment construct
-\cs{begin}\marg{mfpimage} $\ldots$ \cs{end}\marg{mfpimage} in a LaTeX
-document instead of \cs{mfpimage} $\ldots$ \cs{endmfpimage}.
+\env{mfpimage} inside another has not been tested at all and so is not
+recommended. But if it works, the inner image would be local to the
+environment created by the outer one, and so would be of limited use.
+One can use the \LaTeX{} environment construct \cs{begin}\marg{mfpimage}
+$\ldots$ \cs{end}\marg{mfpimage} in a LaTeX document instead of
+\cs{mfpimage} $\ldots$ \cs{endmfpimage}.
 
 \subsection{\CMF{} loops}\label{loops}
 
 All the \mfp{} loop commands create a loop (in the \MF{} language) in
-the output file. The \MF{} commands in that loop are executed repeatedly.
-From the point of view of \TeX{}, however each command occurs only once.
-Starting with version 0.9, these loops can be created inside or outside
-the \env{mfpic} drawing environment. If outside, they must not contain
-any drawing commands, but can contain commands that set variables,
-perform computations, etc.
+the output file. The \MF{} commands in that loop are executed repeatedly
+by \MF{} or \MP{}. From the point of view of \TeX{}, however each
+command occurs only once. Starting with version 0.9, these loops can be
+created inside or outside the \env{mfpic} drawing environment. If
+outside, they must not contain any drawing commands, but can contain
+commands that set variables, perform computations, etc.
 
 \begin{cd}\pagelabel{mfpfor}
 \cs{mfpfor}\marg{\meta{for-loop header}}\\
@@ -5358,7 +5644,7 @@ This creates a for-loop in the \MF{} output file. The \cs{mfpfor} writes
 the start of the loop and \cs{endmfpfor} writes the end. Any code
 written in the output file between them is executed repeatedly by
 \MF{}, according to the information in \meta{for-loop header}. There are
-two types of header possible, illustrated by the following examples.
+two types of headers possible, illustrated by the following examples.
 \begin{verbatim}
 \mfpfor{center = (0,0), (1,0), (0,1)}
   \gfill\circle{center,1}
@@ -5369,15 +5655,15 @@ three given points. This type of header has the format
 \begin{display}
     \mfc{\meta{variable} = \meta{list}}
 \end{display}
-where \meta{variable} should be a simple variable name and \meta{list} is a
-comma separated list of items of the appropriate data type. In the
-above, \gbc{center} needs coordinate pairs, but in the following
+where \meta{variable} should be a simple variable name and \meta{list}
+is a comma separated list of items of the appropriate data type. In the
+above, \gbc{center} is equated to pairs, but in the following
 \begin{verbatim}
 \mfpfor{radius = 1,3,4}
   \dotted\circle{(0,0),radius}
 \endmfpfor
 \end{verbatim}
-\gbc{radius} needs numeric data.
+\gbc{radius} gets numeric data.
 
 The other type of header uses a stepped variable:
 \begin{verbatim}
@@ -5405,11 +5691,16 @@ Note that the index variable (\gbc{center} and \gbc{radius} in the above
 two examples) is a temporary \MF{} variable. If \opt{mplabels} is turned
 on, this variable will work as expected in the \emph{location} parameter
 of a \cs{tlabel} command, but if it is used in the \emph{label} part, it
-will be interpreted as \TeX{} code and printed as is.
+will be interpreted as \TeX{} code and printed as is. The index variable
+reverts to its previous state outside the loop. That is, if it existed
+before the loop, it regains its previous value after the loop, and if it
+was undefined before the loop, it is again undefined after.
 
 The single word ``\mfc{upto}'' can be used as an abbreviation for
 ``\mfc{step 1 until}'' and ``\mfc{downto}'' for ``\mfc{step -1 until}''
-in for-loop headers. Spaces are not significant in for-loop headers.
+in for-loop headers. Spaces are not significant in for-loop headers,
+except to distinguish the keywords (e.g. \mfc{step}) from variable names
+that might be use (e.g., for \meta{start}).
 
 \begin{cd}\pagelabel{mfpwhile}
   \cs{mfpwhile}\marg{\meta{condition}}\\
@@ -5470,7 +5761,16 @@ command will break the loop at whatever point it occurs. Example:
 \end{verbatim}
 This will draw rectangles with $R$ equal to $10$, $5$, $2.5$, and
 $1.25$. On the next execution of the loop the condition \mfc{R<=1} is
-true, and the break occurs before the next rectangle is drawn.
+true, and the break occurs before the next rectangle is drawn. Note that
+any \cs{mfpwhile} could be encoded with \cs{mfploop}. In fact, the code
+written to the output file by
+\begin{display}
+\cs{mfpwhile}\marg{\meta{condition}}
+\end{display}
+is identical to that written by
+\begin{display}
+\cs{mfploop}\cs{mfpuntil}\marg{not \meta{condition}}
+\end{display}
 
 The command \cs{mfpuntil} can also be used in \env{mfpfor} and
 \env{mfpwhile} environments to break the loop prematurely when the given
@@ -5485,8 +5785,29 @@ be used. For example,
 \end{mfpfor}
 \end{verbatim}
 
+Just to be clear: in all the examples, what is written to the figure
+file is a \emph{single} circle or rectangle drawing command, bracketed
+by code that causes \MF{} to execute it several times with different
+values for the variable. From \TeX{}'s point of view, there is only one
+drawing command command.
+
 \subsection{Miscellaneous}\label{misc}
 
+\begin{cd}\pagelabel{mfmode}
+\cs{mfmode}\marg{\meta{mode-name}}\\
+\cs{mfresolution}\marg{\meta{DPI}}%
+\end{cd}
+
+When working with \MF{}, the code in \file{grafbase.mf} needs to know
+the resolution at which to make the font with all the figures. If the
+wrong resolution is assumed, the figure may end up appearing wrongly
+scaled or have other problems (especially with shading). If your DVI
+viewing/printing program and the file \file{modes.mf} are correctly
+configured, nothing may need to be done. If not, as a last resort, you
+can set the \MF{} mode or the \MF{} resolution in your \file{.tex} file
+with these commands. If you don't know what that means, ask a guru, but
+then you probably shouldn't be using \MF{} at all.
+
 \begin{cd}\pagelabel{noship}
 \cs{noship}\\%
 \cs{stopshipping}\\%
@@ -5508,25 +5829,27 @@ locally, one can globally copy it to another variable with
 
 \begin{cd}\pagelabel{assignmfvalue}
 \cs{assignmfvalue}\marg{\meta{\TeX{}-macro}}\marg{\meta{MF-expr}}\\
-\cs{assignmpvalue}\marg{\meta{\TeX{}-macro}}\marg{\meta{MP-expr}}\\
+\cs{assignmpvalue}\marg{\meta{\TeX{}-macro}}\marg{\meta{MF-expr}}\\
 \cs{globalassignmfvalue}\marg{\meta{\TeX{}-macro}}\marg{\meta{MF-expr}}\\
-\cs{globalassignmpvalue}\marg{\meta{\TeX{}-macro}}\marg{\meta{MP-expr}}%
+\cs{globalassignmpvalue}\marg{\meta{\TeX{}-macro}}\marg{\meta{MF-expr}}%
 \index{assignmfvalue@\cs{assignmfvalue}}%
 \index{assignmpvalue@\cs{assignmpvalue}}%
 \index{globalassignmfvalue@\cs{globalassignmfvalue}}%
 \index{globalassignmpvalue@\cs{globalassignmpvalue}}%
 \end{cd}
 
-The `\texttt{mf}' and `\texttt{mp}' versions of these commands differ
-only in spelling; either may be substituted for the other in any
-document. This command causes the \meta{MF-expr} to be written to the
-output file for \MF{} to evaluate. The resulting value is then written
-to the \file{.log} file of that \MF{} run. On the next \TeX{} run, if
+The commands \cs{assignmpvalue} and \cs{globalassignmpvalue} are just
+alternative spellings. You can use either spelling with either the
+\opt{metafont} or \opt{metapost} option.
+
+These commands causes the \meta{MF-expr} to be written to the output
+file for \MF{} to evaluate. The resulting value is then written to the
+\file{.log} file of that \MF{} run. On the next \TeX{} run, if
 \opt{mfpreadlog} (see section~\ref{readlog}) is in effect, the macro
 \meta{\TeX{}-macro} will be defined to produce the resulting value. For
 example:
 \begin{verbatim}
-\setmfvariable{numeric}{s}{2}
+\setmfnumeric{s}{2}
 \assignmfvalue{\val}{exp s}
 \tlabel(1,2){$e^s = \val$}
 \end{verbatim}
@@ -5546,7 +5869,7 @@ command defined by \cs{assignmfvalue} is used in a tlabel with
 \opt{mplabels} in effect, then \opt{mplabels} must be in effect during
 the \cs{assignmfvalue} command as well.
 
-The `\texttt{global}' versions make the definition of the
+The `\texttt{global}' version makes the definition of the
 \meta{\TeX{}-macro} global, surviving the current group. In particular,
 it can be used in other pictures. The plain versions create commands
 that are only locally defined. Past versions of this manual stated that
@@ -5554,9 +5877,8 @@ you can say
 \begin{display}
    \cs{global}\cs{assignmfvalue}
 \end{display}
-to define the macro globally. This turned out not to be true in all
-cases, and now it may not be true at all. If a global definition is
-needed, use the global versions above.
+to define the macro globally. This turns out not to be true in all
+cases. If a global definition is needed, use the global versions above.
 
 Because of the asynchronous nature of the definition process, using
 \cs{assignmfvalue} with the same macro name more than once in the same
@@ -5584,15 +5906,12 @@ conventions and so any errors are my responsibility.
 \begin{cd}\pagelabel{cutoffafter}
 \cs{cutoffafter}\marg{\meta{obj}}\dots\\
 \cs{cutoffbefore}\marg{\meta{obj}}\dots\\
-\cs{trimpath}\marg{\meta{dim$_1$},\meta{dim$_2$}}\dots\\
-\cs{trimpath}\marg{\meta{dim}}\dots%
 \index{cutoffafter@\cs{cutoffafter}}%
 \index{cutoffbefore@\cs{cutoffbefore}}%
-\index{trimpath@\cs{trimpath}}%
 \end{cd}
 
 These prefix macros modify the following path by cutting part of it off.
-The first two take an `object' (a variable in which a path was
+They take an `object' (a variable in which a path was
 previously stored using \cs{store}) and uses it to trim off one end of the
 following path. \cs{cutoffbefore} cuts off the part of the path
 \emph{before} its first intersection with the object, while
@@ -5602,27 +5921,12 @@ object and the path intersect in more than one point, as little as
 possible (usually%
     \footnote{\MF{}'s methods for finding the `first' point of
     intersection do not always find the actual first one.}) %
-is cut off. This is completely reliably only when there is only one
-point of intersection.
+is cut off. This is reliable only when there is only one point of
+intersection.
 
-The \cs{trimpath} macro takes two dimensions separated by commas and
-trims those lengths off the initial and terminal ends of the path.
-Alternatively, it takes one dimension and and trims that length off of
-both ends. If any of \meta{dim$_1$}, \meta{dim$_2$} or \meta{dim} is
-missing, it is taken to be \dim{0pt}. This macro is essentially
-equivalent to applying a combination of the first two commands, using as
-the objects circles which have radii equal to the given dimensions and
-which are centered at the endpoints of the path. Consequently, if the
-path is shorter than either dimension, it will not intersect either
-circle and nothing will be trimmed. Similarly, if the result of the
-first cut is too short the second cut may not cut anything off. If the
-path intersects one of these circles more than once, it is not really
-predictable at which point the cut will be made.
-
-The first two macros can be used to create a curve that starts or ends
+These macros can be used to create a curve that starts or ends
 right at another figure without having to know the point where the two
-curves intersect. The third one can be used on the result to produce a
-curve that stops a short distance before the point of intersection.
+curves intersect.
 
 \begin{cd}\pagelabel{random}
 \cs{randomlines}\marg{\meta{maxshift}}\dots\\
@@ -5651,6 +5955,26 @@ done in a way that preserves smoothness at each node where the path is
 smooth. Values of \meta{weirdness} greater than 1 are probably too
 weird.
 
+\begin{cd}\pagelabel{brownianmotion}
+\cs{brownianmotion}\marg{\meta{start},\meta{num},\meta{scale}}%
+\index{brownianmotion@\cs{brownianmotion}}
+\end{cd}
+
+This figure macro uses another kind of randomness. The path starts at
+the point \meta{start}, then proceeds in a straight line in a random
+direction a random distance. The random process used is a normaldeviate
+in each coordinate, scaled by \meta{scale}. This is repeated \meta{num}
+times. Thus, \meta{start} is a coordinate pair in graph coordinates,
+\meta{num} is a positive whole number and \meta{scale} is a positive
+real number. In rare cases, the random distance can be quite large, but
+on average it will be about $0.56\times{}$\meta{scale}. The size
+(bounding box) of the resultant path can also be, in rare cases,
+quite large, but it is usually on the order of $\sqrt{\meta{num}}$ times
+\meta{scale}.
+
+The path produced is technically not Brownian motion, but rather a
+`random walk'. However, for small \meta{scale} and large \meta{num} it
+approximates Brownian motion.
 
 \begin{cd}\pagelabel{mftitle}
 \cs{mftitle}\marg{\meta{title}}%
@@ -5732,6 +6056,37 @@ creates the actual filename from the above two parts. It should also be
 completely expandable. See the appendices, subsection~\ref{graphics} for
 further dicussion.
 
+\begin{cd}\pagelabel{setfilenametemplate}
+\cs{setfilenametemplate}\marg{\meta{template}}%
+\index{setfilenametemplate@\cs{setfilenametemplate}}
+\end{cd}
+
+With the \opt{metapost} option, when you write
+\cs{opengraphsfile{figs}}, a file \file{figs.mp} is created. By default,
+running \MP{} on it results in files named \file{figs.1}, \file{figs.2},
+etc. Recent \MP{} allows the output filenames to be modified. As of
+\mfp{} version \mfpversion, you can do this to some extent from your
+\file{.tex} file. One needs to define a template that tells \MP{} how to
+construct the output file name from the `jobname' and the figure number.
+This is done with the above command. In \meta{template} you can put any
+plain characters, plus the two special tokens: \verb$\_$ and \verb$\#$.
+Each figure's filename is constructed by replacing these tokens with the
+\MP{} jobname and the figure number, respectively. For example, with the
+jobname \file{figs},
+\begin{verbatim}
+\setfilenametemplate{my\_-\#.mps}
+\end{verbatim}
+will cause the figure files to have names \file{myfigs-1.mps},
+\file{myfigs-2.mps}, etc., instead of the defaults. \Mfp{} adjusts the
+definition of \cs{setfilename} accordingly, so that the correct
+filenames are used.
+
+Do not use this command unless you know your version of \MP{} is recent
+enough to have this capability. Under the \opt{metafont} option, this
+command is simply ignored, but \mfp{} has no way of checking the \MP{}
+version on its own.
+
+
 \begin{cd}\pagelabel{preparemfpicgraphic}
 \cs{preparemfpicgraphic}\marg{\meta{filename}}%
 \index{preparemfpicgraphic@\cs{preparemfpicgraphic}}
@@ -5741,8 +6096,8 @@ This command is automatically invoked before \cs{setmfpicgraphic} to
 make any preparations needed. The default definition is to do nothing
 except when the \prog{graphics} package is used. That package provides
 no clean way to determine the bounding box of the graphic after it is
-included. Since \mfp{} needs this information, this command
-redefines an internal command of the graphics package to make the data
+included. Since \mfp{} needs this information, this command redefines an
+internal command of the \prog{graphics} package to make the data
 available. If \cs{setmfpicgraphic} is redefined then this may also have
 to be redefined.
 
@@ -5775,7 +6130,7 @@ with the \cs{opengraphsfile} commands reading of these booleans.
 \end{cd}
 
 This expands to the current \mfp{} version multiplied by 100. At this
-writing, it produces `\texttt{90}' because the version is 0.9. It can
+writing, it produces `\texttt{100}' because the version is 1.0. It can
 be used to test the version:
 \begin{verbatim}
 \ifx\mfpicversion\undefined \def\mfpicversion{0}\fi
@@ -5866,9 +6221,8 @@ But mostly, he'd like to thank Tom Leathrum for starting it all.
 \section{Changes History.}\label{changes}
 
 See the file \file{changes.txt} for a somewhat sporadic history of
-changes to \mfp{} (through the previous version). See the file
-\file{new.txt} for changes since the previous version. See the file
-\file{README} for any known problems.
+changes to \mfp{}. See the file \file{README} for changes added since
+the previous version, and for any known problems.
 
 %\clearpage
 \section{Summary of Options.}\label{summary}
@@ -5940,13 +6294,13 @@ all later environments.
 \section{Plotting Styles for \cs{plotdata}.}\label{styles}
 
 When \cs{plotdata} passes from one curve to the next, it increments a
-counter and uses that counter to select a dash pattern, color, or symbol.
-It uses predefined dash pattern names \mfc{dashtype0} through
-\mfc{dashtype5}, or predefined color names \mfc{colortype0} through
-\mfc{colortype7}, or predefined symbols \mfc{pointtype0} through
-\mfc{pointtype8}. Here follows a description of each of these variables.
-These variables must not be used in the second argument of
-\cs{reconfigureplot}, whose purpose is to redefine these variables.
+counter and uses that counter to select a dash pattern, color, or
+symbol. It uses predefined dash \mfc{dashtype0} through \mfc{dashtype5},
+or predefined colors \mfc{colortype0} through \mfc{colortype7}, or
+predefined symbols \mfc{pointtype0} through \mfc{pointtype8}. Here
+follows a description of each of these variables. These variables must
+not be used in the second argument of \cs{reconfigureplot}, whose
+purpose is to redefine these variables.
 
 \medskip
 Under \cs{dashedlines}, we have the following dash patterns:
@@ -5969,21 +6323,22 @@ Under \cs{coloredlines}, we have the following colors. Except for
 \mfc{black} and \mfc{red}, each color is altered as indicated. This is
 an attempt to make the colors more equal in visibility against a white
 background. (The success of this attempt varies greatly with the output
-or display device.)
+or display device.) Four of the eight colors use the cmyk model
+when the \MP{} version is at least $1.000$.
 
 \medskip
-\begin{tabular}{@{}lll}
-\textsc{Name}&\textsc{Color}&\textsc{(r,g,b)}\\
+\begin{tabular}{@{}llll}
+\textsc{Name}&\textsc{Color}&\textsc{(r,g,b)}&\textsc{(c,m,y,k)}\\
 \hline
 \vbox to 10pt{}%
-\mfc{colortype0}&   black  &  $(  0,  0,  0)$\\
-\mfc{colortype1}&   red    &  $(  1,  0,  0)$\\
-\mfc{colortype2}&   blue   &  $( .2, .2,  1)$\\
-\mfc{colortype3}&   orange &  $(.66,.34,  0)$\\
-\mfc{colortype4}&   green  &  $(  0, .8,  0)$\\
-\mfc{colortype5}&   magenta&  $(.85,  0,.85)$\\
-\mfc{colortype6}&   cyan   &  $(  0,.85,.85)$\\
-\mfc{colortype7}&   yellow &  $(.85,.85,  0)$\\
+\mfc{colortype0}&   black  &  $(  0,  0,  0)$&(0,0,0,1)\\
+\mfc{colortype1}&   red    &  $(  1,  0,  0)$&\\
+\mfc{colortype2}&   blue   &  $( .2, .2,  1)$&\\
+\mfc{colortype3}&   orange &  $(.66,.34,  0)$&\\
+\mfc{colortype4}&   green  &  $(  0, .8,  0)$&\\
+\mfc{colortype5}&   magenta&  $(.85,  0,.85)$&(0,.85,0,.15)\\
+\mfc{colortype6}&   cyan   &  $(  0,.85,.85)$&(.85,0,0,.15)\\
+\mfc{colortype7}&   yellow &  $(.85,.85,  0)$&(0,0,.85,.15)\\
 \end{tabular}
 
 \medskip
@@ -6040,7 +6395,7 @@ was clipped to a much smaller size for printing did not help.
 In \MP{}, the limit on numeric values is only 8 times as high: $32768$.
 However, that is independent of printer resolution and is interpreted as
 \PS{} points (\TeX{}'s `big points'). At $72$ points to the inch, this
-allows figures to be about 12.64 yards (11.56m).
+allows figures to be about 12.64 yards (11.56$\,$m).
 
 
 \section{Special Considerations When Using \CMP{}.}\label{mpconsiderations}
@@ -6052,18 +6407,18 @@ working \MP{} installation):
 
 \medskip\noindent
 \begin{tabular}{@{}lp{4.2in}}
-plain \TeX{}         &The file \file{epsf.tex}\\
-\LaTeX{}209           &(No longer supported, but plain \TeX{} methods
-might work)\\
+plain \TeX{}        &The file \file{epsf.tex} or \file{epsf.sty}\\
+\LaTeX{}209         &(No longer supported, but plain \TeX{} methods
+                        might work)\\
 \LaTeX{}            &The package \prog{graphics} or \prog{graphicx}\\
 \pdfLaTeX{}         &The package \prog{graphics} or
-                     \prog{graphicx} with option \opt{pdftex}\\
-plain \pdfTeX{}     &The files \file{supp-pdf.tex} and
-                           \file{supp-mis.tex}\\
+                        \prog{graphicx} with option \opt{pdftex}\\
+plain \pdfTeX{}     &The files \file{supp-pdf.mkii} or \file{supp-pdf.tex}
+                        and (possibly) \file{supp-mis.tex}\\
 In all cases        &\raggedright The files \file{grafbase.mp} and
-                           \file{dvipsnam.mp} plus, of course,
-                           \file{mfpic.tex} (and \file{mfpic.sty} for
-                           \LaTeX{})
+                        \file{dvipsnam.mp} plus, of course,
+                        \file{mfpic.tex} (and \file{mfpic.sty} for
+                        \LaTeX{})
 \end{tabular}
 
 \medskip
@@ -6073,14 +6428,13 @@ searched by the appropriate \TeX{} variant. If \MP{} cannot find the
 file \file{grafbase.mp}, then by default it will try to input
 \file{grafbase.mf}, which is generally futile (or fatal).
 
-In case \pdfLaTeX{} is used, the graphics package is given the
+In case \pdfLaTeX{} is used, the \prog{graphics} package is given the
 \opt{pdftex} option. This option requires the file \file{pdftex.def}
-which currently inputs the files \file{supp-pdf.tex} and
-\file{supp-mis.tex}. These three files should be supplied with
-all \TeX{} installations.%
-    \footnote{At this writing, the file
-      \file{CTAN/macros/context/cont-mpd.zip} contains these two
-      \file{supp} files, plus a few others for working with \MP{}.} %
+which currently inputs one of the \file{supp-pdf} files. Early versions
+of \file{supp-pdf.tex} will input \file{supp-mis.tex}. These three files
+should be supplied with most \TeX{} installations.%
+    \footnote{At this writing, these files, plus a few others,
+    can found at \file{CTAN/macros/pdftex/graphics/}.} %
 Older versions had some bugs in connection with the \prog{babel}
 package. One workaround was to load the \prog{graphics} package and
 \mfp{} before \prog{babel}.
@@ -6098,7 +6452,7 @@ for drawing objects is completely different between \MF{} and \MP{}, and
 so one cannot always expect the same results. \CMP{} support in
 \mfp{} was carefully written so that files successfully printed
 with \mfp{} using \MF{} would be just as successfully printed
-using \MP{}. Nevertheless, it frequently choke on files that make use of
+using \MP{}. Nevertheless, it frequently chokes on files that make use of
 the \cs{mfsrc} command for writing code directly to the \file{.mf} file.
 While \file{grafbase.mp} is closely based on \file{grafbase.mf}, some of
 the code had to be completely rewritten.
@@ -6187,7 +6541,7 @@ above versions of \cs{setmfpicgraphic} (except \cs{includegraphics})
 make this information available; the definition of \cs{getmfpicoffset}
 merely copies it into these two macros. What \mfp{} does in the
 case of \cs{includegraphics} is to modify (locally) the definition of an
-internal command of the graphics package so that it copies the
+internal command of the \prog{graphics} package so that it copies the
 information to those macros, and then \cs{getmfpicoffset} does nothing.
 This internal modification is accomplished by the macro
 \cs{preparemfpicgraphic}. Changes to \cs{setmfpicgraphic} might require
@@ -6228,7 +6582,10 @@ command.
 As \mfp{} is currently written, \cs{setfilename} must be
 \emph{completely expandable}, which means it should contain no
 definitions, no assignments such as \cs{setcounter}, and no
-calculations. To test whether a proposed definition is completely
+calculations.%
+    \footnote{But appropriate use of \cs{numexpr} (in \eTeX) for
+    calculations is probably OK.}
+To test whether a proposed definition is completely
 expandable, put
 \begin{verbatim}
 \message{***\setfilename{file}{1}***}
@@ -6246,7 +6603,8 @@ This author has personal knowledge of only one mathematical article
 which definitely uses \mfp{} to create diagrams, and that is this
 author's joint paper with J.~Duncan and C.~M.~McGregor: \textit{On the
 value of pi for norms in $\mathbf{R}^2$} in the College Mathematics
-Journal, vol.~35, pages 84--92.
+Journal, vol.~35, pages 84--92. Oddly enough, it was McGregor and not me
+who chose to use \mfp{} for the illustrations.
 
 There are at least two major publications where \mfp{} has garnered more
 than a cursory mention. The most up-to-date is a section in \textit{The
@@ -6365,7 +6723,7 @@ produced appears to be compatible with the current \mfp{}.
 \let\oldcs\cs
 \renewcommand{\cs}[1]{\leavevmode\mytt{\llap{\char`\\}#1}}
 
-\InputIfFileExists{mfpman.ind}{}{\mfpindexheading}
+\InputIfFileExists{mfpic-doc.ind}{}{\mfpindexheading}
 
 \let\cs\oldcs
 
@@ -6386,8 +6744,10 @@ produced appears to be compatible with the current \mfp{}.
   \item \cs{axisline}, \pageref{axisline}
   \item \cs{belowfcn}, \pageref{belowfcn}
   \item \cs{border}, \pageref{axisline}
+  \item \cs{brownianmotion}, \pageref{brownianmotion}
   \item \cs{btwnfcn}, \pageref{btwnfcn}
   \item \cs{btwnplrfcn}, \pageref{btwnfcn}
+  \item \cs{cbeziers}, \cs{closedcbeziers}, \pageref{cbeziers}
   \item \cs{chartbar}, \pageref{chartbar}
   \item \cs{circle}, \pageref{circle}
   \item \cs{computedspline},\\
@@ -6416,6 +6776,7 @@ produced appears to be compatible with the current \mfp{}.
   \item \cs{plrregion}, \pageref{belowfcn}
   \item \cs{polygon}, \pageref{polygon}
   \item \cs{polyline}, \pageref{polyline}
+  \item \cs{pshcircle}, \pageref{pshcircle}
   \item \cs{qbeziers}, \cs{closedqbeziers}, \pageref{qbeziers}
   \item \cs{qspline}, \cs{closedqspline}, \pageref{qspline}
   \item \cs{rect}, \pageref{rect}
@@ -6482,7 +6843,7 @@ produced appears to be compatible with the current \mfp{}.
   \item \cs{slantpath}, \pageref{shiftpath}
   \item \cs{subpath}, \pageref{partpath}
   \item \cs{transformpath}, \pageref{shiftpath}
-  \item \cs{trimpath}, \pageref{cutoffafter}
+  \item \cs{trimpath}, \pageref{partpath}
   \item \cs{xscalepath}, \pageref{shiftpath}
   \item \cs{xslantpath}, \pageref{shiftpath}
   \item \cs{xyswappath}, \pageref{shiftpath}
@@ -6637,7 +6998,6 @@ produced appears to be compatible with the current \mfp{}.
   \item \cs{setmfnumeric}, \pageref{setmfvariable}
   \item \cs{setmfpair}, \pageref{setmfvariable}
   \item \cs{setmfvariable}, \pageref{setmfvariable}
-  \item \cs{setmpvariable}, \pageref{setmfvariable}
   \item \cs{settension}, \pageref{settension}
   \item \cs{setxmarks}, \pageref{setaxismarks}
   \item \cs{setymarks}, \pageref{setaxismarks}
@@ -6658,21 +7018,20 @@ produced appears to be compatible with the current \mfp{}.
 
   \item \cs{barchart}, \pageref{barchart}
   \item \cs{bargraph}, \pageref{barchart}
-  \item \cs{colorarray}, \pageref{setmfarray}
+  \item \cs{colorarray}, \pageref{setarray}
   \item \cs{gantt}, \pageref{barchart}
-  \item \cs{globalsetmfarray}, \pageref{setmfarray}
+  \item \cs{globalsetarray}, \pageref{setarray}
   \item \cs{histogram}, \pageref{barchart}
   \item \cs{mfpbarchart}, \pageref{barchart}
   \item \cs{mfpbargraph}, \pageref{barchart}
   \item \cs{mfpgantt}, \pageref{barchart}
   \item \cs{mfphistogram}, \pageref{barchart}
   \item \cs{mfppiechart}, \pageref{piechart}
-  \item \cs{numericarray}, \pageref{setmfarray}
-  \item \cs{pairarray}, \pageref{setmfarray}
+  \item \cs{numericarray}, \pageref{setarray}
+  \item \cs{pairarray}, \pageref{setarray}
   \item \cs{patharr}, \cs{endpatharr}, \pageref{patharr}
   \item \cs{piechart}, \pageref{piechart}
-  \item \cs{setmfarray}, \pageref{setmfarray}
-  \item \cs{setmparray}, \pageref{setmfarray}
+  \item \cs{setarray}, \pageref{setarray}
 
 \subsection{Changing behavior}
 
@@ -6689,8 +7048,7 @@ produced appears to be compatible with the current \mfp{}.
   \item \cs{mfpverbtex}, \pageref{mfpverbtex}
   \item \cs{noship}, \pageref{noship}
   \item \cs{pointedlines}, \pageref{coloredlines}
-  \item \cs{pointfillfalse}, \pageref{pointfilltrue}
-  \item \cs{pointfilltrue}, \pageref{pointfilltrue}
+  \item \cs{pointfillfalse}, \cs{pointfilltrue}, \pageref{pointfilltrue}
   \item \cs{reconfigureplot}, \pageref{reconfigureplot}
   \item \cs{resumeshipping}, \pageref{noship}
   \item \cs{setrender}, \pageref{setrender}
@@ -6713,6 +7071,8 @@ produced appears to be compatible with the current \mfp{}.
   \item \cs{mfpframe},  \cs{endmfpframe}, \pageref{mfpframe}
   \item \cs{mfpic}, \cs{endmfpic}, \pageref{mfpic}
   \item \cs{opengraphsfile}, \pageref{opengraphsfile}
+  \item \cs{setfilename}, \pageref{setfilename}
+  \item \cs{setfilenametemplate}, \pageref{setfilenametemplate}
 
 \subsection{Text}
 
@@ -6726,15 +7086,15 @@ produced appears to be compatible with the current \mfp{}.
 
 \subsection{Misc}
 
-  \item \cs{assignmfvalue}, \pageref{assignmfvalue}
-  \item \cs{assignmpvalue}, \pageref{assignmfvalue}
+  \item \cs{assignmfvalue}, \cs{assignmpvalue}, \pageref{assignmfvalue}
   \item \cs{fdef}, \pageref{fdef}
   \item \cs{getmfpicoffset}, \pageref{getmfpicoffset}
-  \item \cs{globalassignmfvalue}, \pageref{assignmfvalue}
-  \item \cs{globalassignmpvalue}, \pageref{assignmfvalue}
+  \item \cs{globalassignmfvalue},\\
+        \cs{globalassignmpvalue}, \pageref{assignmfvalue}
   \item \cs{ifmfpmpost}, \pageref{ifmfpmpost}
   \item \cs{mfcmd}, \pageref{mfsrc}
   \item \cs{mflist}, \pageref{mfsrc}
+  \item \cs{mfmode}, \pageref{mfmode}
   \item \cs{mfpfor}, \cs{endmfpfor}, \pageref{mfpfor}
   \item \cs{mfpframed}, \pageref{mfpframe}
   \item \cs{mfpicversion}, \pageref{mfpicversion}
@@ -6742,6 +7102,7 @@ produced appears to be compatible with the current \mfp{}.
   \item \cs{mfploop}, \cs{endmfploop}, \pageref{mfploop}
   \item \cs{mfpuntil}, \pageref{mfploop}
   \item \cs{mfpwhile}, \cs{endmfpwhile}, \pageref{mfpwhile}
+  \item \cs{mfresolution}, \pageref{mfmode}
   \item \cs{mfsrc}, \pageref{mfsrc}
   \item \cs{mftitle}, \pageref{mftitle}
   \item \cs{newfdim}, \pageref{newfdim}
@@ -6751,7 +7112,6 @@ produced appears to be compatible with the current \mfp{}.
   \item \cs{preparemfpicgraphic}, \pageref{preparemfpicgraphic}
   \item \cs{savepic}, \pageref{newsavepic}
   \item \cs{sequence}, \pageref{sequence}
-  \item \cs{setfilename}, \pageref{setfilename}
   \item \cs{setmfpicgraphic}, \pageref{setmfpicgraphic}
   \item \cs{store}, \pageref{store}
   \item \cs{tile}, \cs{endtile}, \pageref{tile}
diff --git a/Master/texmf-dist/doc/generic/mfpic/mfpman.pdf b/Master/texmf-dist/doc/generic/mfpic/mfpman.pdf
deleted file mode 100644
index a80f7d35cc0..00000000000
--- a/Master/texmf-dist/doc/generic/mfpic/mfpman.pdf
+++ /dev/null
@@ -1,15226 +0,0 @@
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-%ÐÔÅØ
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-trailer
-<< /Size 1981
-/Root 1979 0 R
-/Info 1980 0 R
-/ID [<EBE87E14798328010A4E5247DF8DA056> <EBE87E14798328010A4E5247DF8DA056>] >>
-startxref
-701375
-%%EOF
diff --git a/Master/texmf-dist/doc/generic/mfpic/pictures.tex b/Master/texmf-dist/doc/generic/mfpic/pictures.tex
index 3906ef38e23..17dec8f4e73 100644
--- a/Master/texmf-dist/doc/generic/mfpic/pictures.tex
+++ b/Master/texmf-dist/doc/generic/mfpic/pictures.tex
@@ -1,5 +1,5 @@
 %%% File: pictures.tex
-%%% A part of mfpic 0.9 2006/05/26
+%%% A part of mfpic 1.00 2009/09/22
 %%%
 \magnification=\magstep1
 
diff --git a/Master/texmf-dist/metafont/mfpic/grafbase.mf b/Master/texmf-dist/metafont/mfpic/grafbase.mf
index 470e3e7f346..2532e17cc3c 100644
--- a/Master/texmf-dist/metafont/mfpic/grafbase.mf
+++ b/Master/texmf-dist/metafont/mfpic/grafbase.mf
@@ -8,19 +8,22 @@
 %% 
 %% -------------------------------------------------------------------
 %% 
-%% Copyright 2002--2006, Daniel H. Luecking
+%% Copyright 2002--2009, Daniel H. Luecking
 %% 
 %% Mfpic may be distributed and/or modified under the conditions of the
-%% LaTeX Project Public License, either version 1.3b of this license or (at
+%% LaTeX Project Public License, either version 1.3c of this license or (at
 %% your option) any later version. The latest version of this license is in
 %%    <http://www.latex-project.org/lppl.txt>
-%% and version 1.3b or later is part of all distributions of LaTeX version
-%% 2005/12/01 or later.
+%% and version 1.3c or later is part of all distributions of LaTeX version
+%% 2008/12/01 or later.
 %% 
 %% Mfpic has maintenance status "author-maintained". The Current Maintainer
 %% is Daniel H. Luecking. There are several Base Interpreters associated
 %% with mfpic: plain TeX, LaTeX, plain Metafont and plain MetaPost.
 %% 
+%%% File: grafbase.dtx
+%%% A part of mfpic 1.00 2009/09/22
+%%%
 if (known grafbaseversion) or (known grafbase):
   message "Grafbase (" & jobname & "): You have loaded grafbase more "
     & "than once! Please make sure that it is loaded only once.";
@@ -29,7 +32,7 @@ fi
 boolean grafbase; grafbase := true;
 
 string fileversion, filedate;
-fileversion := "0.9";  filedate := "2006/05/26";
+fileversion := "1.00";  filedate := "2009/09/22";
 
 message " Loading grafbase macros, version " & fileversion & " " &
    filedate & ".";
@@ -56,7 +59,7 @@ def checkversions (expr g)=
   fi
 enddef;
 
-checkversions (90);
+checkversions (100);
 
 if unknown base_name       :  input plain;
 elseif not string base_name:  input plain;
@@ -64,17 +67,14 @@ elseif base_name <> "plain":  input plain;
 fi
 
 boolean METAPOST;
-
-if known color Geamparalele din Babadag:
-  METAPOST := true;
-else:
-  METAPOST := false;
-fi
+METAPOST := known color Geamparalele din Babadag;
+numeric metapostversion;
 
 if METAPOST:
   GBerrmsg ("wrong compiler.")
     "This file is for Metafont. For Metapost use grafbase.mp.";
 fi
+metapostversion := 0;
 
 if not boolean debug:  boolean debug;  debug := false;  fi
 
@@ -174,6 +174,8 @@ enddef;
 boolean showbbox;  showbbox := false;
 
 let color = numeric;  color black, white;
+let rgbcolor = numeric;
+let cmykcolor = numeric;
 black := 0;  white := 1;
 def withcolor text t =  enddef;
 def _wc_ =  withcolor  enddef;
@@ -185,54 +187,77 @@ currentcolor := fillcolor := drawcolor := hatchcolor :=
 background := white;
 
 vardef snapto expr t =
-  if unknown t:            0
-  elseif not (numeric t):  0
-  elseif t < 0:            0
-  elseif t > 1:            1
-  else:                    t
+  if numeric t:
+    if unknown t:  0
+    elseif t < 0:  0
+    elseif t > 1:  1
+    else:          t
+    fi
+  else:
+    GBerrmsg ("Improper expression type.")
+      "The argument to `snapto' must be a numeric.";
   fi
+
 enddef;
 
-vardef gray (expr g) =  (snapto g)*white  enddef;
+vardef rgbgray  (expr g) =  (snapto g) * white  enddef;
+vardef cmykgray (expr g) =  cmyk(0,0,0,1 - snapto g)  enddef;
 
-vardef makeclr (expr r, g, b) =
-  gray (sqrt((2r*r + 4g*g + b*b)/7))
+vardef knowncolor expr clr =  (known clr) and (iscolor clr)  enddef;
+
+vardef grayscalegray (expr g) =  snapto g  enddef;
+vardef gray (expr g) =  grayscalegray (g)  enddef;
+vardef cmyk (expr c, m, y, k) =  rgb (1-c-k, 1-m-k, 1-y-k) enddef;
+vardef makegray  primary clr =
+  if knowncolor clr:  clr  else:  black  fi
 enddef;
+def makergb  =  makegray  enddef;
+def makecmyk =  makegray  enddef;
+vardef iscolor expr clr =  color clr enddef;
 
-vardef rgb (expr r, g, b) =
-  makeclr (snapto r, snapto g, snapto b)
+vardef forceclr (expr c) =
+  if unknown c :
+    if numeric c:  grayscaleblack
+    elseif rgbcolor c:   rgbblack
+    elseif cmykcolor c: cmykblack
+    else: black
+    fi
+  elseif numeric c:  gray (c)
+  elseif iscolor c:  c
+  else:  black
+  fi
 enddef;
+vardef named (suffix c) =  forceclr (c)  enddef;
 
-vardef cmyk (expr c, m, y, k) =
-  rgb (1-c-k, 1-m-k, 1-y-k)
+vardef togray (expr r, g, b) =
+  gray (sqrt((2r*r + 4g*g + b*b)/7))
 enddef;
 
-vardef RGB (expr R, G, B) =
-  rgb (R/255, G/255, B/255)
+vardef rgbtogray (expr r, g, b) =
+  togray(snapto r, snapto g, snapto b)
+enddef;
+vardef cmyktogray (expr c, m, y, k) =
+  rgbtogray (1-c-k,1-m-k,1-y-k)
 enddef;
 
-vardef named (suffix c) =
-  if unknown c:  black  else:  forceclr (c)  fi
+vardef cmyktorgb (expr c,m,y,k) =
+  rgb(1-c-k,1-m-k,1-y-k)
 enddef;
-vardef forceclr (expr c) =
-  if numeric c:    gray (c)
-  elseif color c:  c
-  else:            black
-  fi
+vardef rgbtocmyk (expr r,g,b) =
+  cmyk(1-r,1-g,1-b,0)
 enddef;
 
-color red, green, blue, cyan, magenta, yellow;
-red     := rgb (1, 0, 0);
-green   := rgb (0, 1, 0);
-blue    := rgb (0, 0, 1);
-cyan    := rgb (0, 1, 1);
-magenta := rgb (1, 0, 1);
-yellow  := rgb (1, 1, 0);
+vardef rgb (expr r, g, b) =
+  togray (snapto r, snapto g, snapto b)
+enddef;
+vardef RGB (expr R, G, B) =
+  rgb (R/255, G/255, B/255)
+enddef;
 
 def list (suffix v) (text lst) =
   v := 0;  for _itm = lst:  v[incr v] := _itm;  endfor
   if v = 0:
-    GBerrmsg ("no list to process!")
+    GBerrmsg ("No list to process!")
       "An attempt was made to produce an array from a "
     & "list of expressions having no valid entries.";
   fi
@@ -420,8 +445,10 @@ def setnumeric (suffix name) =  save name;  name :=  enddef;
 def setboolean   =  setvariable (boolean)  enddef;
 def setpair      =  setvariable (pair)  enddef;
 def setpath      =  setvariable (path)  enddef;
-def setcolor     =  setvariable (color)  enddef;
 def setpicture   =  setvariable (picture)  enddef;
+def setstring    =  setvariable (string)  enddef;
+def settransform =  setvariable (transform)  enddef;
+def setpen       =  setvariable (pen)  enddef;
 def settension (suffix tn) expr tens =
   setnumeric (tn) if tens > 0:  tens  else:  default_tension  fi;
 enddef;
@@ -447,6 +474,64 @@ def setsplit (suffix s) expr ss =
   setnumeric (s) emax (1, ceiling ss);
 enddef;
 
+def setrgbcolor  =  setcolor  enddef;
+def setcmykcolor =  setcolor  enddef;
+def setcolor = setvariable (color) enddef;
+def gsetcolor = gsetvariable (color) enddef;
+
+setcolor(rgbblack) rgb(0,0,0);
+setcolor(red)      rgb(1,0,0);
+setcolor(green)    rgb(0,1,0);
+setcolor(blue)     rgb(0,0,1);
+setcolor(rgbwhite) rgb(1,1,1);
+setcolor(cmykwhite) cmyk(0,0,0,0);
+setcolor(cyan)      cmyk(1,0,0,0); % Maybe these should
+setcolor(magenta)   cmyk(0,1,0,0); % be rbg for backward
+setcolor(yellow)    cmyk(0,0,1,0); % compatibility?
+setcolor(cmykblack) cmyk(0,0,0,1);
+setcolor(grayscaleblack) gray(0);
+setcolor(grayscalewhite) gray(1);
+
+def setoutputtemplate text garbage = enddef;
+
+def romannumeral =  _romannumeral (true)  enddef;
+vardef _romannumeral (expr prefix, X) =
+  save Y, _tmp, U; string U;
+
+  Y.m := X div 1000;        % thousands digit
+    _tmp := X - 1000Y.m;    % hundreds digits and lower
+  Y.c := _tmp div 100;      % hundreds
+    _tmp := _tmp - 100Y.c;  % tens and units
+  Y.x := _tmp div 10;       % tens
+  Y.i := _tmp - 10Y.x;      % units
+
+  strrepeat("m", Y.m) &
+  romandigit(prefix, "c", "d", "m", Y.c) &
+  romandigit(prefix, "x", "l", "c", Y.x) &
+  romandigit(prefix, "i", "v", "x", Y.i)
+enddef;
+
+vardef romandigit (expr prefix, bot, mid, top, n) =
+  if n > 9 :    top & strrepeat(bot, n-10)   % shouldn't happen
+  elseif n > 8 :
+    if prefix:  bot & top                    % "ix"
+    else:       mid & bot & bot & bot & bot  % "viiii"
+    fi
+  elseif n > 4 :  mid & strrepeat (bot, n-5) % "v"--"viii"
+  elseif n > 3 :
+    if prefix:  bot & mid                    % "iv"
+    else:       bot & bot & bot & bot        % "iiii"
+    fi
+  else:         strrepeat (bot, n)           % ""--"iii" for 0--3
+  fi
+enddef;
+
+vardef strrepeat (expr st, rep) =
+  setstring (_sr) "";
+  for i = 1 upto rep:  _sr := _sr & st;  endfor
+  _sr
+enddef;
+
 transform ztr, vtr;
 def setztr =
   if debug:
@@ -552,7 +637,6 @@ numeric label_sep, labelpath_sep ;
 label_sep :=  0;  labelpath_sep := 0;
 def verbatimtex text t =  enddef;
 
-
 vardef newgblabel (expr hf, vf, BL, r) (text s) (text pts) =
 enddef;
 
@@ -703,6 +787,7 @@ vardef csc primary X =  cscd (X*radian)  enddef;
 
 vardef degrees (expr t) =  t*radian  enddef;
 vardef radians (expr t) =  t/radian  enddef;
+
 vardef invcos primary X =  (acos X)/radian  enddef;
 vardef invsin primary X =  (asin X)/radian  enddef;
 vardef invtan primary X =  (atan X)/radian  enddef;
@@ -714,12 +799,6 @@ vardef logbase (expr B) primary X =  (mlog X)/(mlog B)  enddef;
 def logtwo =  logbase( 2)  enddef;
 def logten =  logbase(10)  enddef;
 
-vardef Arg primary Z =  (angle Z)/radian  enddef;
-vardef Log primary Z =  (ln (abs Z), Arg Z)  enddef;
-vardef cis primary T =  dir (T*radian)  enddef;
-vardef zexp primary Z =  (exp (xpart Z)) * cis (ypart Z)  enddef;
-vardef sgn primary Z =  if not (Z = origin):  unitvector  fi  Z  enddef;
-
 vardef cosh primary X =
   setnumeric (temp) 2 exp (-abs(X));
   if temp < reallysmall:
@@ -787,6 +866,20 @@ vardef atanh primary y =
   fi
 enddef;
 
+vardef Arg primary Z =  (angle Z)/radian  enddef;
+vardef Log primary Z =  (ln (abs Z), Arg Z)  enddef;
+vardef cis primary T =  dir (T*radian)  enddef;
+vardef zexp primary Z =  (exp (xpart Z)) * cis (ypart Z)  enddef;
+vardef sgn primary Z =  if not (Z = origin):  unitvector  fi  Z  enddef;
+vardef conj primary Z = (xpart Z, -ypart Z) enddef;
+
+vardef Moebius (expr A) primary Z =
+  save _D; pair _D;
+  _D := (1, 0) + (Z zscaled (conj A));
+  (Z + A)/(abs _D) rotated (- angle _D)
+enddef;
+vardef pshdist (expr Z,W) =  abs(Moebius(-W)(Z))  enddef;
+
 vardef polar primary p =  (xpart p) * dir (ypart p)  enddef;
 def id (expr x) =  x  enddef;
 
@@ -798,8 +891,10 @@ primarydef x**y =
   fi
 enddef;
 let ^ = **;
+
 transform T_stack[];
 numeric T_stack;  T_stack := 0;
+
 def T_push (expr T) =  T_stack[incr T_stack] := T;  enddef;
 def T_pop (suffix $) =
   if T_stack > 0:
@@ -1221,7 +1316,7 @@ enddef;
 def store (suffix fs) expr f =
 hide (
   if (not path f) and (not pair f):
-    GBerrmsg ("improper expression type.")
+    GBerrmsg ("Improper expression type.")
       "The second argument to `store' must be a path or pair.";
   fi
   if not path fs:  path fs;  fi
@@ -1510,7 +1605,6 @@ vardef gendashed (suffix pat) expr f =
         picture _v;  _v := nullpicture;
         _d0 := 0;  _t0 := 0;
         dashit (_dpat.start) (_v);
-
         if _n > 0:
           save _m;  _m := ceiling sqrt(_n);
           for _j = 0 step _m until _n - 1:
@@ -1778,6 +1872,7 @@ vardef axis@# (expr len) =  headpath (len, 0, 0) axisline@#  enddef;
 vardef borderrect =
   rect((xneg+laxis,yneg+baxis),(xpos-raxis,ypos-taxis))
 enddef;
+
 numeric inside, outside, centered, onleft, onright, ontop, onbottom;
 inside   := -2;
 outside  := -1;
@@ -2080,12 +2175,27 @@ enddef;
 
 vardef turtle (text t) =
   setnumeric (_tu) 0;
-  pair _tu[];  _tu0 := origin;
-  for _a = t:  _tu[incr _tu] := _tu[_tu - 1] + _a;  endfor
+  setpair (_tmp) origin;
+  pair _tu[];
+  for _a = t:
+    _tmp := _tmp + _a;
+    _tu[incr _tu] := _tmp;
+  endfor
   if _tu = 0:  NoPoints("turtle", _tu);  fi
   mkpoly (false, _tu)
 enddef;
 
+vardef brownianpath (expr start, num, sc) =
+  setnumeric (_brp) 1;
+  setpair (_tmp) start;
+  pair _brp[];  _brp1 := _tmp;
+  for _idx := 1 upto num:
+    _tmp := _tmp + sc/(sqrt 2)*(normaldeviate,normaldeviate);
+    _brp[incr _brp] := _tmp;
+  endfor
+  mkpoly (false, _brp)
+enddef;
+
 vardef mksmooth (expr tens, cyclic) (suffix pts) =
   if pts = 1:  onepointpath (cyclic, pts1)
   else:
@@ -2190,7 +2300,7 @@ enddef;
 
 vardef mkqbezier (expr cyclic) (suffix pts) =
   pts1
-  if pts=1:  {0,0}
+  if pts=1: {0,0}
   else:
     for _i = 2 step 2 until pts - 1:
       ..controls 1/3[pts[_i], pts[_i-1] ] and 1/3[pts[_i], pts[_i+1] ]..
@@ -2205,8 +2315,7 @@ enddef;
 
 vardef qbezier (expr cyclic) (text t) =
   setpairs (_qbz) (t);
-  if _qbz=0:  NoPoints ("qbezier", _qbz);  fi
-  if _qbz=1:  onepointpath (cyclic, _qbz1)
+  if _qbz=0:  NoPoints ("qbezier", _qbz);
   else:
     if (cyclic and odd _qbz) or (not cyclic and even _qbz):
       _qbz[incr _qbz] := _qbz[_qbz-1];
@@ -2215,6 +2324,45 @@ vardef qbezier (expr cyclic) (text t) =
   fi
 enddef;
 
+vardef mkcbezier (expr cyclic) (suffix pts) =
+  pts1
+  if pts=1:  {0,0}
+  else:
+    for _i = 1 step 3 until pts - 3:
+      ..controls pts[_i+1] and pts[_i+2] .. pts[_i+3]
+    endfor
+    if cyclic:
+      ..controls  pts[pts - 1] and pts[pts]..cycle
+    fi
+  fi
+enddef;
+
+vardef cbezier (expr cyclic) (text t) =
+  setpairs (_cbz) (t);
+  if _cbz=0:  NoPoints ("qbezier", _cbz);
+  else:
+    % Need 0 mod 3 for cyclic, otherwise 1 mod 3
+    setnumeric (_mdt) _cbz mod 3;
+    if cyclic:
+      if _mdt <> 0:  _cbz[incr _cbz] := _cbz[_cbz-1];  fi
+      if _mdt = 1 :  _cbz[incr _cbz] := _cbz1;  fi
+    else: % need 1 more, duplicate next to last
+      if _mdt = 0:
+        _cbz := _cbz + 1;
+        _cbz[_cbz]   := _cbz[_cbz-1];
+        _cbz[_cbz-1] := _cbz[_cbz-2];
+      fi
+      if _mdt = 2: % need 2 more, duplicate last 2.
+        _cbz := _cbz + 2; % add 2 slots
+        _cbz[_cbz]   := _cbz[_cbz-2]; % fill them
+        _cbz[_cbz-1] := _cbz[_cbz-2]; % with last node
+        _cbz[_cbz-2] := _cbz[_cbz-3]; % orig last slot = orig previous.
+      fi
+    fi
+    mkcbezier (cyclic) (_cbz)
+  fi
+enddef;
+
 vardef fcncontrol (expr ftens, X, Y, Z) =
   Y if (xpart(Z-Y) <> 0) and (xpart(Y-X) <> 0):
       + xpart(Z-Y)/3/xpart(Z-X)*(Z - X)/ftens  fi
@@ -2262,6 +2410,7 @@ vardef qspline (expr cyclic) (text t) =
   fi
   mkqbs (_qs) if cyclic:  & cycle  fi
 enddef;
+
 vardef mkcbs (suffix b) =
   (b[1]+4b[2]+b[3])/6
   if b < 4:  {0,0}
@@ -2290,6 +2439,7 @@ vardef cspline (expr cyclic) (text t) =
   fi
   mkcbs (_cs) if cyclic:  & cycle  fi
 enddef;
+
 def init_spline_eqns (suffix pts) =
   save _spl_pre, _spl_post;
   pair _spl_pre[], _spl_post[];
@@ -2434,9 +2584,12 @@ vardef arcpps (expr begpt, endpt, sweep) =
 enddef;
 
 vardef arcpp (expr small, begpt, endpt, rad) =
-  save full, ang;  full := signof (rad) 360;
-  if 2*abs(rad) > abs(begpt - endpt):
-    ang := if not small:  full -  fi  2*asin (abs(begpt-endpt)/(2rad));
+  save full, diam, chord, ang;
+  full := signof (rad) 360;
+  diam  := 2rad;
+  chord := abs(endpt-begpt);
+  if chord < abs(diam):
+    ang := if not small:  full -  fi  2*asin (chord/diam);
   else:  ang := signof (rad) 180;
   fi
   arcpps (begpt, endpt, ang)
@@ -2466,30 +2619,37 @@ vardef ellipse (expr center, radx, rady, angle) =
   fullcircle xscaled (2*radx) yscaled (2*rady) rotated angle
     shifted center
 enddef;
+
 vardef circle (expr center, rad) =
   fullcircle scaled (2*rad) shifted center
 enddef;
+
 vardef circlecp (expr center, point) =
   mkarc (center, point, point, 360) & cycle
 enddef;
+
 vardef circleppp (expr one, two, three) =
   arcpps (one, two, 2*cornerangle (three, one, two))
     & arcpps (two, three, 2*cornerangle (one, two, three))
     & arcpps (three, one, 2*cornerangle (two, three, one))
     & cycle
 enddef;
+
 vardef circlepps (expr one, two, sweep) =
   save ang, full;
   full := signof (sweep) 360;
   ang := sweep mod full;
   arcpps (one, two, ang) & arcpps (two, one, full - ang) & cycle
 enddef;
+
 vardef circlepp (expr small, one, two, rad) =
  arcpp (small, one, two, rad) & arcpp (not small, two, one, rad) & cycle
 enddef;
+
 def circleppr (expr one, two, rad, small) =
   circleppr (one, two, rad, small)
 enddef;
+
 vardef pathcenter expr p =
   save a, cntr, n;  pair cntr, a[];
   n := length p;
@@ -2539,6 +2699,54 @@ vardef ninepointcircle expr t =
   circleppp (medianpt 0 of t, medianpt 1 of t, medianpt 2 of t)
 enddef;
 
+vardef pshcircle (expr disk, ctr, rad) =
+  if disk:
+    if rad >= 1 :
+      if rad > 1:
+        GBerrmsg ("Impossible pseudohyperbolic circle.")
+          "The radius of a pseudohyperbolic circle can be at most 1.";
+      fi
+      circle ((0,0),1)
+    elseif abs(ctr) >= 1 :
+      if abs(ctr) > 1:
+        GBerrmsg ("Impossible pseudohyperbolic circle.")
+          "The center of a pseudohyperbolic circle must be in"
+          & "the unit disk.";
+      fi
+      onepointpath (true,ctr)
+    else:
+      % compute Euclidean center and radius (and a denominator used twice
+      % in calculations).
+      save _r, _dnm;
+      _r := abs(ctr);
+      _dnm := 1 - _r*_r*rad*rad;
+      circle ( (1 - rad*rad)/_dnm*ctr, rad*(1 - _r*_r)/_dnm)
+    fi
+  else:
+    if rad >= 1 :
+      GBerrmsg ("Impossible pseudohyperbolic circle.")
+        "The radius of a pseudohyperbolic circle must be less than 1.";
+      onepointpath (true,ctr)
+    elseif ypart ctr <= 0:
+      if ypart ctr < 0:
+        GBerrmsg ("Impossible pseudohyperbolic circle.")
+          "The center of a pseudohyperbolic circle must be in"
+          & "the upper half-plane.";
+      fi
+      onepointpath (true,ctr)
+    else:
+      % compute Euclidean center and radius (and a denominator used twice
+      % in calculations).
+      % Euclidean center at  xpart ctr + (1 + R^2)/(1 - R^2)*ypart ctr
+      % Euclidean radius  4R/(1 - R^2)*ypart ctr
+      save _y, _dnm;
+      _y := ypart ctr;
+      _dnm := 1 - rad*rad;
+      circle ( (xpart ctr, (1 + rad*rad)/_dnm * _y), 2rad/_dnm*_y)
+    fi
+  fi
+enddef;
+
 vardef barycenter expr t =
   save m;  m := length t if not cycle t:  + 1 fi;
   pnt0(t)/m  for k = 1 upto m - 1:  + pnt[k](t)/m  endfor
@@ -2613,8 +2821,10 @@ def plrregion (expr sm) =  tplrregion (sm, default_tension)  enddef;
 vardef tplrregion (expr sm, tn, tlo, thi, st) (text _ft) =
   (0,0)--tplrfcn (sm, tn, tlo, thi, st ) (_ft)--cycle
 enddef;
+
 numeric tolerancefactor;
 tolerancefactor := .02;
+
 vardef mklevelset (expr sm, tens, X, Y, t, a, b, c, d) =
   save _inside_;
   vardef _inside_ (expr U, V) =
@@ -2741,6 +2951,7 @@ vardef qbclosed expr f =
 enddef;
 
 vardef makesector expr p =  (pathcenter p)--p--cycle  enddef;
+
 vardef arccomplement expr p =
   if cycle p:  onepointpath (false, pnt0(p))
   else:
@@ -2899,6 +3110,8 @@ vardef colorGheadpath
   f
 enddef;
 
+path cut_path;  cut_path := (.5,0)--(.5,.71)--(-.5,.71)--(-.5,0)--cycle;
+
 def tailpath (suffix sh) =  colortailpath (sh) (headcolor)  enddef;
 vardef colortailpath (suffix sh) (expr clr, sc, rot, pos) expr f =
   if (sc <> 0) and (known sh) and (path sh):
@@ -3014,6 +3227,7 @@ vardef randomlines (expr maxshift) expr f =
       fi
   fi
 enddef;
+
 vardef parasegment (expr d, segs, f) =
   if d = 0:  f
   else:
@@ -3149,7 +3363,7 @@ def setdatasymbols (text lst) =
       __type[__type] := _itm;
       next __type;
     else:
-      GBwarn "Improper path in setdatasymbols().";
+      GBwarn "Improper symbol in setdatasymbols().";
     fi
   endfor
   if __type > 1:
@@ -3253,6 +3467,7 @@ forsuffixes S =
  SolidDiamond, SolidStar :
   S.tip := point 0 of S;
 endfor
+
 vardef gcd (expr n, m) =
   save a, b, r;
   a := emax (abs(m), abs(n));
@@ -3270,11 +3485,9 @@ vardef gcd (expr n, m) =
 enddef;
 
 vardef lcm (expr n, m) =
-  n*m/gcd(n, m)
+  n/gcd(n, m)*m
 enddef;
 
-path cut_path;  cut_path := (.5,0)--(.5,.71)--(-.5,.71)--(-.5,0)--cycle;
-
 numeric pointtype;  path pointtype[];
 def defaultsymbols =
   setdatasymbols( Circle, Cross, SolidDiamond, Square, Plus,
@@ -3282,43 +3495,6 @@ def defaultsymbols =
 enddef;
 defaultsymbols;
 
-def setdatacolors (text lst) =
-  save __type;  color __type[];
-  __type := 0;
-  for _itm = lst:
-    if (known _itm) and (color _itm):
-      __type[__type] := _itm;
-      next __type;
-    else:  GBwarn "Improper color in setdatacolors().";
-    fi
-  endfor
-  if __type > 1:
-    save colortype;  colortype := __type;
-    color colortype[];
-    for _j = 0 upto colortype - 1:
-      colortype[_j] := __type[_j];
-    endfor
-  else:
-    SetdataWarn "colors";
-  fi
-enddef;
-def getcolor expr n =  colortype[n mod colortype]  enddef;
-
-color dBlue, dOrange, dGreen, dMagenta, dCyan, dYellow;
-dBlue := 0.80blue + .2white;
-dOrange := 0.66yellow + .34red;
-dGreen := 0.80green;
-dMagenta := 0.85magenta;
-dCyan := 0.85cyan;
-dYellow := 0.85yellow;
-
-numeric colortype;  color colortype[];
-def defaultcolors =
-  setdatacolors(black, red, dBlue, dOrange, dGreen,
-    dMagenta, dCyan, dYellow);
-enddef;
-defaultcolors;
-
 def computepie (suffix dat) (expr sign, ang, cent, rad) (text data) =
 begingroup
   save _tot, _max, _toobig;
diff --git a/Master/texmf-dist/metapost/mfpic/dvipsnam.mp b/Master/texmf-dist/metapost/mfpic/dvipsnam.mp
index 1bc8d9f64c9..0529714a4d1 100644
--- a/Master/texmf-dist/metapost/mfpic/dvipsnam.mp
+++ b/Master/texmf-dist/metapost/mfpic/dvipsnam.mp
@@ -8,34 +8,34 @@
 %% 
 %% -------------------------------------------------------------------
 %% 
-%% Copyright 2002--2006, Daniel H. Luecking
+%% Copyright 2002--2009, Daniel H. Luecking
 %% 
 %% Mfpic may be distributed and/or modified under the conditions of the
-%% LaTeX Project Public License, either version 1.3b of this license or (at
+%% LaTeX Project Public License, either version 1.3c of this license or (at
 %% your option) any later version. The latest version of this license is in
 %%    <http://www.latex-project.org/lppl.txt>
-%% and version 1.3b or later is part of all distributions of LaTeX version
-%% 2005/12/01 or later.
+%% and version 1.3c or later is part of all distributions of LaTeX version
+%% 2008/12/01 or later.
 %% 
 %% Mfpic has maintenance status "author-maintained". The Current Maintainer
 %% is Daniel H. Luecking. There are several Base Interpreters associated
 %% with mfpic: plain TeX, LaTeX, plain Metafont and plain MetaPost.
 %% 
+%%% File: grafbase.dtx
+%%% A part of mfpic 1.00 2009/09/22
+%%%
 if unknown grafbaseversion:
-  vardef snapto expr t =
-    if unknown t:            0
-    elseif not (numeric t):  0
-    elseif t < 0:            0
-    elseif t > 1:            1
-    else:                    t
-    fi
-  enddef;
-  vardef cmyk (expr c, m, y, k) =
-    (snapto 1-c-k, snapto 1-m-k, snapto1-y-k)
-  enddef;
+  if unknown mpversion:
+    let cmykcolor=color;
+    vardef cmyk (expr c, m, y, k) =
+      (max(1-c-k,0), max(1-m-k,0), max(1-y-k,0))
+    enddef;
+  else:
+    vardef cmyk (expr c, m, y, k) =  (c, m, y, k)  enddef;
+  fi
 fi
 
-color Apricot, Aquamarine, Bittersweet, Black, Blue, BlueGreen,
+cmykcolor Apricot, Aquamarine, Bittersweet, Black, Blue, BlueGreen,
 BlueViolet, BrickRed, Brown, BurntOrange, CadetBlue, CarnationPink,
 Cerulean, CornflowerBlue, Cyan, Dandelion, DarkOrchid, Emerald,
 ForestGreen, Fuchsia, Goldenrod, Gray, Green, GreenYellow, JungleGreen,
diff --git a/Master/texmf-dist/metapost/mfpic/grafbase.mp b/Master/texmf-dist/metapost/mfpic/grafbase.mp
index 225150795f1..b231060dd5c 100644
--- a/Master/texmf-dist/metapost/mfpic/grafbase.mp
+++ b/Master/texmf-dist/metapost/mfpic/grafbase.mp
@@ -8,19 +8,22 @@
 %% 
 %% -------------------------------------------------------------------
 %% 
-%% Copyright 2002--2006, Daniel H. Luecking
+%% Copyright 2002--2009, Daniel H. Luecking
 %% 
 %% Mfpic may be distributed and/or modified under the conditions of the
-%% LaTeX Project Public License, either version 1.3b of this license or (at
+%% LaTeX Project Public License, either version 1.3c of this license or (at
 %% your option) any later version. The latest version of this license is in
 %%    <http://www.latex-project.org/lppl.txt>
-%% and version 1.3b or later is part of all distributions of LaTeX version
-%% 2005/12/01 or later.
+%% and version 1.3c or later is part of all distributions of LaTeX version
+%% 2008/12/01 or later.
 %% 
 %% Mfpic has maintenance status "author-maintained". The Current Maintainer
 %% is Daniel H. Luecking. There are several Base Interpreters associated
 %% with mfpic: plain TeX, LaTeX, plain Metafont and plain MetaPost.
 %% 
+%%% File: grafbase.dtx
+%%% A part of mfpic 1.00 2009/09/22
+%%%
 if (known grafbaseversion) or (known grafbase):
   message "Grafbase (" & jobname & "): You have loaded grafbase more "
     & "than once! Please make sure that it is loaded only once.";
@@ -29,7 +32,7 @@ fi
 boolean grafbase; grafbase := true;
 
 string fileversion, filedate;
-fileversion := "0.9";  filedate := "2006/05/26";
+fileversion := "1.00";  filedate := "2009/09/22";
 
 message " Loading grafbase macros, version " & fileversion & " " &
    filedate & ".";
@@ -56,7 +59,7 @@ def checkversions (expr g)=
   fi
 enddef;
 
-checkversions (90);
+checkversions (100);
 
 if unknown base_name       :  input plain;
 elseif not string base_name:  input plain;
@@ -64,18 +67,37 @@ elseif base_name <> "plain":  input plain;
 fi
 
 boolean METAPOST;
+METAPOST := known color Geamparalele din Babadag;
+numeric metapostversion;
 
-if known color Geamparalele din Babadag:
-  METAPOST := true;
-else:
-  METAPOST := false;
-fi
 
 if not METAPOST:
   GBerrmsg ("wrong compiler.")
     "This file is for Metapost. For Metafont use grafbase.mf.";
 fi
 
+numeric metapostversion;
+boolean has_cmyk;
+boolean has_filenametemplate; % e.g., filenametemplate "%j.%n;
+boolean has_outputtemplate; % e.g., outputtemplate := "%j.%n;
+if unknown mpversion:
+  % prior to introduction of cmykcolor and output filename templates.
+  % Latest such version was 0.641.
+  metapostversion := 0.641;
+  has_cmyk       := false;
+  has_filenametemplate := false;
+  has_outputtemplate := false;
+else:
+  metapostversion := scantokens (mpversion);
+  has_cmyk := true;
+  has_filenametemplate := true;
+  if metapostversion < 1.200:
+    has_outputtemplate := false;
+  else:
+    has_outputtemplate := true;
+  fi
+fi
+
 if not boolean debug:  boolean debug;  debug := false;  fi
 
 def GBdebug =
@@ -143,6 +165,7 @@ enddef;
 
 boolean showbbox;  showbbox := false;
 
+if not has_cmyk:  let rgbcolor = color;  let cmykcolor = color;  fi
 def _wc_ =  withcolor  enddef;
 
 color currentcolor, drawcolor, fillcolor, hatchcolor,
@@ -152,54 +175,123 @@ currentcolor := fillcolor := drawcolor := hatchcolor :=
 background := white;
 
 vardef snapto expr t =
-  if unknown t:            0
-  elseif not (numeric t):  0
-  elseif t < 0:            0
-  elseif t > 1:            1
-  else:                    t
+  if numeric t:
+    if unknown t:  0
+    elseif t < 0:  0
+    elseif t > 1:  1
+    else:          t
+    fi
+  else:
+    GBerrmsg ("Improper expression type.")
+      "The argument to `snapto' must be a numeric.";
   fi
+
 enddef;
 
-vardef gray (expr g) =  (snapto g)*white  enddef;
+vardef rgbgray  (expr g) =  (snapto g) * white  enddef;
+vardef cmykgray (expr g) =  cmyk(0,0,0,1 - snapto g)  enddef;
 
-vardef makeclr (expr r, g, b) =
-  (r, g, b)
-enddef;
+if has_cmyk :
+  vardef grayscalegray (expr g) =  snapto g  enddef;
+  vardef gray (expr g) =  grayscalegray (g)  enddef;
+  vardef cmyk (expr c, m, y, k) =
+    (snapto c, snapto m, snapto y, snapto k)
+  enddef;
 
-vardef rgb (expr r, g, b) =
-  makeclr (snapto r, snapto g, snapto b)
+  def colorchoice (expr clr) (text D)(text N)(text R)(text C) =
+    if unknown clr:        D
+    elseif numeric clr:    N
+    elseif rgbcolor clr:   R
+    elseif cmykcolor clr:  C
+    else:                  D
+    fi
+  enddef;
+
+  vardef makecmyk primary clr =
+    colorchoice (clr)(cmykblack)(cmykgray(clr))
+    (rgbtocmyk(redpart clr,greenpart clr,bluepart clr))
+    (clr)
+  enddef;
+  vardef makergb primary clr =
+    colorchoice (clr)(rgbblack)(rgbgray(clr))(clr)
+    (cmyktorgb(cyanpart clr, magentapart clr, yellowpart clr, blackpart clr))
+  enddef;
+  vardef makegray primary clr =
+    colorchoice (clr)(grayscaleblack)(grayscalegray(clr))
+    (rgbtogray (redpart clr, greenpart clr, bluepart clr))
+    (cmyktogray(cyanpart clr, magentapart clr, yellowpart clr,
+        blackpart clr))
+  enddef;
+  vardef iscolor expr clr =
+    (rgbcolor clr) or (cmykcolor clr) or (numeric clr) or (boolean clr)
+  enddef;
+else:
+  vardef gray (expr g) =  rgbgray(g)  enddef;
+  vardef grayscalegray (expr g) =  rgbgray(g)  enddef;
+  vardef cmyk (expr c, m, y, k) =  rgb (1-c-k, 1-m-k, 1-y-k)  enddef;
+  def colorchoice (expr clr) (text D)(text N)(text R) =
+    if unknown clr:       D
+    elseif numeric clr:   N
+    elseif rgbcolor clr:  R
+    else:                 D
+    fi
+  enddef;
+  vardef makergb  primary clr =
+    colorchoice (clr)(rgbblack)(rgbgray(clr))(clr)
+  enddef;
+  vardef makegray primary clr =
+    colorchoice (clr)(rgbblack)(rgbgray(clr))
+      (rgbtogray (redpart clr, greenpart clr, bluepart clr))
+  enddef;
+  def makecmyk =  makergb  enddef;
+  vardef iscolor expr clr =  color clr enddef;
+fi
+
+vardef knowncolor expr clr =  (known clr) and (iscolor clr)  enddef;
+
+vardef forceclr (expr c) =
+  if unknown c :
+    if numeric c:  grayscaleblack
+    elseif rgbcolor c:   rgbblack
+    elseif cmykcolor c: cmykblack
+    else: black
+    fi
+  elseif numeric c:  gray (c)
+  elseif iscolor c:  c
+  else:  black
+  fi
 enddef;
+vardef named (suffix c) =  forceclr (c)  enddef;
 
-vardef cmyk (expr c, m, y, k) =
-  rgb (1-c-k, 1-m-k, 1-y-k)
+vardef togray (expr r, g, b) =
+  gray (sqrt((2r*r + 4g*g + b*b)/7))
 enddef;
 
-vardef RGB (expr R, G, B) =
-  rgb (R/255, G/255, B/255)
+vardef rgbtogray (expr r, g, b) =
+  togray(snapto r, snapto g, snapto b)
+enddef;
+vardef cmyktogray (expr c, m, y, k) =
+  rgbtogray (1-c-k,1-m-k,1-y-k)
 enddef;
 
-vardef named (suffix c) =
-  if unknown c:  black  else:  forceclr (c)  fi
+vardef cmyktorgb (expr c,m,y,k) =
+  rgb(1-c-k,1-m-k,1-y-k)
 enddef;
-vardef forceclr (expr c) =
-  if numeric c:    gray (c)
-  elseif color c:  c
-  else:            black
-  fi
+vardef rgbtocmyk (expr r,g,b) =
+  cmyk(1-r,1-g,1-b,0)
 enddef;
 
-color red, green, blue, cyan, magenta, yellow;
-red     := rgb (1, 0, 0);
-green   := rgb (0, 1, 0);
-blue    := rgb (0, 0, 1);
-cyan    := rgb (0, 1, 1);
-magenta := rgb (1, 0, 1);
-yellow  := rgb (1, 1, 0);
+vardef rgb (expr r, g, b) =
+  (snapto r, snapto g, snapto b)
+enddef;
+vardef RGB (expr R, G, B) =
+  rgb (R/255, G/255, B/255)
+enddef;
 
 def list (suffix v) (text lst) =
   v := 0;  for _itm = lst:  v[incr v] := _itm;  endfor
   if v = 0:
-    GBerrmsg ("no list to process!")
+    GBerrmsg ("No list to process!")
       "An attempt was made to produce an array from a "
     & "list of expressions having no valid entries.";
   fi
@@ -379,8 +471,10 @@ def setnumeric (suffix name) =  save name;  name :=  enddef;
 def setboolean   =  setvariable (boolean)  enddef;
 def setpair      =  setvariable (pair)  enddef;
 def setpath      =  setvariable (path)  enddef;
-def setcolor     =  setvariable (color)  enddef;
 def setpicture   =  setvariable (picture)  enddef;
+def setstring    =  setvariable (string)  enddef;
+def settransform =  setvariable (transform)  enddef;
+def setpen       =  setvariable (pen)  enddef;
 def settension (suffix tn) expr tens =
   setnumeric (tn) if tens > 0:  tens  else:  default_tension  fi;
 enddef;
@@ -406,6 +500,92 @@ def setsplit (suffix s) expr ss =
   setnumeric (s) emax (1, ceiling ss);
 enddef;
 
+if has_cmyk:
+  def setrgbcolor  =  setvariable (rgbcolor)  enddef;
+  def setcmykcolor =  setvariable (cmykcolor)  enddef;
+  def setcolor (suffix name) expr val =
+    if     boolean   val :  setboolean
+    elseif numeric   val :  setnumeric
+    elseif rgbcolor  val :  setrgbcolor
+    elseif cmykcolor val :  setcmykcolor
+    % this should give a suitable error message:
+    else:  setvariable (color)
+    fi  (name) val;
+  enddef;
+  def gsetcolor (suffix name) expr val =
+    if     boolean   val :  boolean name;
+    elseif numeric   val :  numeric name;
+    elseif rgbcolor  val :  rgbcolor name;
+    elseif cmykcolor val :  cmykcolor name;
+    else:  color name;
+    fi  name := val;
+  enddef;
+else:
+  def setrgbcolor  =  setcolor  enddef;
+  def setcmykcolor =  setcolor  enddef;
+  def setcolor = setvariable (color) enddef;
+  def gsetcolor = gsetvariable (color) enddef;
+fi
+
+setcolor(rgbblack) rgb(0,0,0);
+setcolor(red)      rgb(1,0,0);
+setcolor(green)    rgb(0,1,0);
+setcolor(blue)     rgb(0,0,1);
+setcolor(rgbwhite) rgb(1,1,1);
+setcolor(cmykwhite) cmyk(0,0,0,0);
+setcolor(cyan)      cmyk(1,0,0,0); % Maybe these should
+setcolor(magenta)   cmyk(0,1,0,0); % be rbg for backward
+setcolor(yellow)    cmyk(0,0,1,0); % compatibility?
+setcolor(cmykblack) cmyk(0,0,0,1);
+setcolor(grayscaleblack) gray(0);
+setcolor(grayscalewhite) gray(1);
+
+if has_outputtemplate:
+  def setoutputtemplate =  outputtemplate :=  enddef;
+elseif has_filenametemplate:
+  def setoutputtemplate =  filenametemplate  enddef;
+else:
+  def setoutputtemplate text garbage =  enddef;
+fi
+
+def romannumeral =  _romannumeral (true)  enddef;
+vardef _romannumeral (expr prefix, X) =
+  save Y, _tmp, U; string U;
+
+  Y.m := X div 1000;        % thousands digit
+    _tmp := X - 1000Y.m;    % hundreds digits and lower
+  Y.c := _tmp div 100;      % hundreds
+    _tmp := _tmp - 100Y.c;  % tens and units
+  Y.x := _tmp div 10;       % tens
+  Y.i := _tmp - 10Y.x;      % units
+
+  strrepeat("m", Y.m) &
+  romandigit(prefix, "c", "d", "m", Y.c) &
+  romandigit(prefix, "x", "l", "c", Y.x) &
+  romandigit(prefix, "i", "v", "x", Y.i)
+enddef;
+
+vardef romandigit (expr prefix, bot, mid, top, n) =
+  if n > 9 :    top & strrepeat(bot, n-10)   % shouldn't happen
+  elseif n > 8 :
+    if prefix:  bot & top                    % "ix"
+    else:       mid & bot & bot & bot & bot  % "viiii"
+    fi
+  elseif n > 4 :  mid & strrepeat (bot, n-5) % "v"--"viii"
+  elseif n > 3 :
+    if prefix:  bot & mid                    % "iv"
+    else:       bot & bot & bot & bot        % "iiii"
+    fi
+  else:         strrepeat (bot, n)           % ""--"iii" for 0--3
+  fi
+enddef;
+
+vardef strrepeat (expr st, rep) =
+  setstring (_sr) "";
+  for i = 1 upto rep:  _sr := _sr & st;  endfor
+  _sr
+enddef;
+
 transform ztr, vtr;
 def setztr =
   if debug:
@@ -530,7 +710,6 @@ label_adjust := origin;
 numeric label_sep, labelpath_sep ;
 label_sep :=  0;  labelpath_sep := 0;
 
-
 vardef newgblabel (expr hf, vf, BL, r) (expr s) (text pts) =
   save _lab, _ll, _ur;  picture _lab;  pair _ll, _ur;
   _lab := makepicture (s);
@@ -702,6 +881,7 @@ vardef csc primary X =  cscd (X*radian)  enddef;
 
 vardef degrees (expr t) =  t*radian  enddef;
 vardef radians (expr t) =  t/radian  enddef;
+
 vardef invcos primary X =  (acos X)/radian  enddef;
 vardef invsin primary X =  (asin X)/radian  enddef;
 vardef invtan primary X =  (atan X)/radian  enddef;
@@ -713,12 +893,6 @@ vardef logbase (expr B) primary X =  (mlog X)/(mlog B)  enddef;
 def logtwo =  logbase( 2)  enddef;
 def logten =  logbase(10)  enddef;
 
-vardef Arg primary Z =  (angle Z)/radian  enddef;
-vardef Log primary Z =  (ln (abs Z), Arg Z)  enddef;
-vardef cis primary T =  dir (T*radian)  enddef;
-vardef zexp primary Z =  (exp (xpart Z)) * cis (ypart Z)  enddef;
-vardef sgn primary Z =  if not (Z = origin):  unitvector  fi  Z  enddef;
-
 vardef cosh primary X =
   setnumeric (temp) 2 exp (-abs(X));
   if temp < reallysmall:
@@ -786,6 +960,20 @@ vardef atanh primary y =
   fi
 enddef;
 
+vardef Arg primary Z =  (angle Z)/radian  enddef;
+vardef Log primary Z =  (ln (abs Z), Arg Z)  enddef;
+vardef cis primary T =  dir (T*radian)  enddef;
+vardef zexp primary Z =  (exp (xpart Z)) * cis (ypart Z)  enddef;
+vardef sgn primary Z =  if not (Z = origin):  unitvector  fi  Z  enddef;
+vardef conj primary Z = (xpart Z, -ypart Z) enddef;
+
+vardef Moebius (expr A) primary Z =
+  save _D; pair _D;
+  _D := (1, 0) + (Z zscaled (conj A));
+  (Z + A)/(abs _D) rotated (- angle _D)
+enddef;
+vardef pshdist (expr Z,W) =  abs(Moebius(-W)(Z))  enddef;
+
 vardef polar primary p =  (xpart p) * dir (ypart p)  enddef;
 def id (expr x) =  x  enddef;
 
@@ -797,8 +985,10 @@ primarydef x**y =
   fi
 enddef;
 let ^ = **;
+
 transform T_stack[];
 numeric T_stack;  T_stack := 0;
+
 def T_push (expr T) =  T_stack[incr T_stack] := T;  enddef;
 def T_pop (suffix $) =
   if T_stack > 0:
@@ -1118,7 +1308,7 @@ enddef;
 def store (suffix fs) expr f =
 hide (
   if (not path f) and (not pair f):
-    GBerrmsg ("improper expression type.")
+    GBerrmsg ("Improper expression type.")
       "The second argument to `store' must be a path or pair.";
   fi
   if not path fs:  path fs;  fi
@@ -1371,7 +1561,6 @@ vardef gendashed (suffix pat) expr f =
         picture _v;  _v := nullpicture;
         _d0 := 0;  _t0 := 0;
         dashit (_dpat.start) (_v);
-
         if _n > 0:
           save _m;  _m := ceiling sqrt(_n);
           for _j = 0 step _m until _n - 1:
@@ -1643,6 +1832,7 @@ vardef axis@# (expr len) =  headpath (len, 0, 0) axisline@#  enddef;
 vardef borderrect =
   rect((xneg+laxis,yneg+baxis),(xpos-raxis,ypos-taxis))
 enddef;
+
 numeric inside, outside, centered, onleft, onright, ontop, onbottom;
 inside   := -2;
 outside  := -1;
@@ -1945,12 +2135,27 @@ enddef;
 
 vardef turtle (text t) =
   setnumeric (_tu) 0;
-  pair _tu[];  _tu0 := origin;
-  for _a = t:  _tu[incr _tu] := _tu[_tu - 1] + _a;  endfor
+  setpair (_tmp) origin;
+  pair _tu[];
+  for _a = t:
+    _tmp := _tmp + _a;
+    _tu[incr _tu] := _tmp;
+  endfor
   if _tu = 0:  NoPoints("turtle", _tu);  fi
   mkpoly (false, _tu)
 enddef;
 
+vardef brownianpath (expr start, num, sc) =
+  setnumeric (_brp) 1;
+  setpair (_tmp) start;
+  pair _brp[];  _brp1 := _tmp;
+  for _idx := 1 upto num:
+    _tmp := _tmp + sc/(sqrt 2)*(normaldeviate,normaldeviate);
+    _brp[incr _brp] := _tmp;
+  endfor
+  mkpoly (false, _brp)
+enddef;
+
 vardef mksmooth (expr tens, cyclic) (suffix pts) =
   if pts = 1:  onepointpath (cyclic, pts1)
   else:
@@ -2055,7 +2260,7 @@ enddef;
 
 vardef mkqbezier (expr cyclic) (suffix pts) =
   pts1
-  if pts=1:  {0,0}
+  if pts=1: {0,0}
   else:
     for _i = 2 step 2 until pts - 1:
       ..controls 1/3[pts[_i], pts[_i-1] ] and 1/3[pts[_i], pts[_i+1] ]..
@@ -2070,8 +2275,7 @@ enddef;
 
 vardef qbezier (expr cyclic) (text t) =
   setpairs (_qbz) (t);
-  if _qbz=0:  NoPoints ("qbezier", _qbz);  fi
-  if _qbz=1:  onepointpath (cyclic, _qbz1)
+  if _qbz=0:  NoPoints ("qbezier", _qbz);
   else:
     if (cyclic and odd _qbz) or (not cyclic and even _qbz):
       _qbz[incr _qbz] := _qbz[_qbz-1];
@@ -2080,6 +2284,45 @@ vardef qbezier (expr cyclic) (text t) =
   fi
 enddef;
 
+vardef mkcbezier (expr cyclic) (suffix pts) =
+  pts1
+  if pts=1:  {0,0}
+  else:
+    for _i = 1 step 3 until pts - 3:
+      ..controls pts[_i+1] and pts[_i+2] .. pts[_i+3]
+    endfor
+    if cyclic:
+      ..controls  pts[pts - 1] and pts[pts]..cycle
+    fi
+  fi
+enddef;
+
+vardef cbezier (expr cyclic) (text t) =
+  setpairs (_cbz) (t);
+  if _cbz=0:  NoPoints ("qbezier", _cbz);
+  else:
+    % Need 0 mod 3 for cyclic, otherwise 1 mod 3
+    setnumeric (_mdt) _cbz mod 3;
+    if cyclic:
+      if _mdt <> 0:  _cbz[incr _cbz] := _cbz[_cbz-1];  fi
+      if _mdt = 1 :  _cbz[incr _cbz] := _cbz1;  fi
+    else: % need 1 more, duplicate next to last
+      if _mdt = 0:
+        _cbz := _cbz + 1;
+        _cbz[_cbz]   := _cbz[_cbz-1];
+        _cbz[_cbz-1] := _cbz[_cbz-2];
+      fi
+      if _mdt = 2: % need 2 more, duplicate last 2.
+        _cbz := _cbz + 2; % add 2 slots
+        _cbz[_cbz]   := _cbz[_cbz-2]; % fill them
+        _cbz[_cbz-1] := _cbz[_cbz-2]; % with last node
+        _cbz[_cbz-2] := _cbz[_cbz-3]; % orig last slot = orig previous.
+      fi
+    fi
+    mkcbezier (cyclic) (_cbz)
+  fi
+enddef;
+
 vardef fcncontrol (expr ftens, X, Y, Z) =
   Y if (xpart(Z-Y) <> 0) and (xpart(Y-X) <> 0):
       + xpart(Z-Y)/3/xpart(Z-X)*(Z - X)/ftens  fi
@@ -2127,6 +2370,7 @@ vardef qspline (expr cyclic) (text t) =
   fi
   mkqbs (_qs) if cyclic:  & cycle  fi
 enddef;
+
 vardef mkcbs (suffix b) =
   (b[1]+4b[2]+b[3])/6
   if b < 4:  {0,0}
@@ -2155,6 +2399,7 @@ vardef cspline (expr cyclic) (text t) =
   fi
   mkcbs (_cs) if cyclic:  & cycle  fi
 enddef;
+
 def init_spline_eqns (suffix pts) =
   save _spl_pre, _spl_post;
   pair _spl_pre[], _spl_post[];
@@ -2299,9 +2544,12 @@ vardef arcpps (expr begpt, endpt, sweep) =
 enddef;
 
 vardef arcpp (expr small, begpt, endpt, rad) =
-  save full, ang;  full := signof (rad) 360;
-  if 2*abs(rad) > abs(begpt - endpt):
-    ang := if not small:  full -  fi  2*asin (abs(begpt-endpt)/(2rad));
+  save full, diam, chord, ang;
+  full := signof (rad) 360;
+  diam  := 2rad;
+  chord := abs(endpt-begpt);
+  if chord < abs(diam):
+    ang := if not small:  full -  fi  2*asin (chord/diam);
   else:  ang := signof (rad) 180;
   fi
   arcpps (begpt, endpt, ang)
@@ -2331,30 +2579,37 @@ vardef ellipse (expr center, radx, rady, angle) =
   fullcircle xscaled (2*radx) yscaled (2*rady) rotated angle
     shifted center
 enddef;
+
 vardef circle (expr center, rad) =
   fullcircle scaled (2*rad) shifted center
 enddef;
+
 vardef circlecp (expr center, point) =
   mkarc (center, point, point, 360) & cycle
 enddef;
+
 vardef circleppp (expr one, two, three) =
   arcpps (one, two, 2*cornerangle (three, one, two))
     & arcpps (two, three, 2*cornerangle (one, two, three))
     & arcpps (three, one, 2*cornerangle (two, three, one))
     & cycle
 enddef;
+
 vardef circlepps (expr one, two, sweep) =
   save ang, full;
   full := signof (sweep) 360;
   ang := sweep mod full;
   arcpps (one, two, ang) & arcpps (two, one, full - ang) & cycle
 enddef;
+
 vardef circlepp (expr small, one, two, rad) =
  arcpp (small, one, two, rad) & arcpp (not small, two, one, rad) & cycle
 enddef;
+
 def circleppr (expr one, two, rad, small) =
   circleppr (one, two, rad, small)
 enddef;
+
 vardef pathcenter expr p =
   save a, cntr, n;  pair cntr, a[];
   n := length p;
@@ -2404,6 +2659,54 @@ vardef ninepointcircle expr t =
   circleppp (medianpt 0 of t, medianpt 1 of t, medianpt 2 of t)
 enddef;
 
+vardef pshcircle (expr disk, ctr, rad) =
+  if disk:
+    if rad >= 1 :
+      if rad > 1:
+        GBerrmsg ("Impossible pseudohyperbolic circle.")
+          "The radius of a pseudohyperbolic circle can be at most 1.";
+      fi
+      circle ((0,0),1)
+    elseif abs(ctr) >= 1 :
+      if abs(ctr) > 1:
+        GBerrmsg ("Impossible pseudohyperbolic circle.")
+          "The center of a pseudohyperbolic circle must be in"
+          & "the unit disk.";
+      fi
+      onepointpath (true,ctr)
+    else:
+      % compute Euclidean center and radius (and a denominator used twice
+      % in calculations).
+      save _r, _dnm;
+      _r := abs(ctr);
+      _dnm := 1 - _r*_r*rad*rad;
+      circle ( (1 - rad*rad)/_dnm*ctr, rad*(1 - _r*_r)/_dnm)
+    fi
+  else:
+    if rad >= 1 :
+      GBerrmsg ("Impossible pseudohyperbolic circle.")
+        "The radius of a pseudohyperbolic circle must be less than 1.";
+      onepointpath (true,ctr)
+    elseif ypart ctr <= 0:
+      if ypart ctr < 0:
+        GBerrmsg ("Impossible pseudohyperbolic circle.")
+          "The center of a pseudohyperbolic circle must be in"
+          & "the upper half-plane.";
+      fi
+      onepointpath (true,ctr)
+    else:
+      % compute Euclidean center and radius (and a denominator used twice
+      % in calculations).
+      % Euclidean center at  xpart ctr + (1 + R^2)/(1 - R^2)*ypart ctr
+      % Euclidean radius  4R/(1 - R^2)*ypart ctr
+      save _y, _dnm;
+      _y := ypart ctr;
+      _dnm := 1 - rad*rad;
+      circle ( (xpart ctr, (1 + rad*rad)/_dnm * _y), 2rad/_dnm*_y)
+    fi
+  fi
+enddef;
+
 vardef barycenter expr t =
   save m;  m := length t if not cycle t:  + 1 fi;
   pnt0(t)/m  for k = 1 upto m - 1:  + pnt[k](t)/m  endfor
@@ -2478,8 +2781,10 @@ def plrregion (expr sm) =  tplrregion (sm, default_tension)  enddef;
 vardef tplrregion (expr sm, tn, tlo, thi, st) (text _ft) =
   (0,0)--tplrfcn (sm, tn, tlo, thi, st ) (_ft)--cycle
 enddef;
+
 numeric tolerancefactor;
 tolerancefactor := .02;
+
 vardef mklevelset (expr sm, tens, X, Y, t, a, b, c, d) =
   save _inside_;
   vardef _inside_ (expr U, V) =
@@ -2606,6 +2911,7 @@ vardef qbclosed expr f =
 enddef;
 
 vardef makesector expr p =  (pathcenter p)--p--cycle  enddef;
+
 vardef arccomplement expr p =
   if cycle p:  onepointpath (false, pnt0(p))
   else:
@@ -2763,6 +3069,8 @@ vardef colorGheadpath
   f
 enddef;
 
+path cut_path;  cut_path := (.5,0)--(.5,.71)--(-.5,.71)--(-.5,0)--cycle;
+
 def tailpath (suffix sh) =  colortailpath (sh) (headcolor)  enddef;
 vardef colortailpath (suffix sh) (expr clr, sc, rot, pos) expr f =
   if (sc <> 0) and (known sh) and (path sh):
@@ -2878,6 +3186,7 @@ vardef randomlines (expr maxshift) expr f =
       fi
   fi
 enddef;
+
 vardef parasegment (expr d, segs, f) =
   if d = 0:  f
   else:
@@ -3013,7 +3322,7 @@ def setdatasymbols (text lst) =
       __type[__type] := _itm;
       next __type;
     else:
-      GBwarn "Improper path in setdatasymbols().";
+      GBwarn "Improper symbol in setdatasymbols().";
     fi
   endfor
   if __type > 1:
@@ -3117,6 +3426,7 @@ forsuffixes S =
  SolidDiamond, SolidStar :
   S.tip := point 0 of S;
 endfor
+
 vardef gcd (expr n, m) =
   save a, b, r;
   a := emax (abs(m), abs(n));
@@ -3134,11 +3444,9 @@ vardef gcd (expr n, m) =
 enddef;
 
 vardef lcm (expr n, m) =
-  n*m/gcd(n, m)
+  n/gcd(n, m)*m
 enddef;
 
-path cut_path;  cut_path := (.5,0)--(.5,.71)--(-.5,.71)--(-.5,0)--cycle;
-
 numeric pointtype;  path pointtype[];
 def defaultsymbols =
   setdatasymbols( Circle, Cross, SolidDiamond, Square, Plus,
@@ -3147,39 +3455,57 @@ enddef;
 defaultsymbols;
 
 def setdatacolors (text lst) =
-  save __type;  color __type[];
-  __type := 0;
+  setnumeric (__type) 0;
+  % First, just count and store the known colors in the list
   for _itm = lst:
-    if (known _itm) and (color _itm):
-      __type[__type] := _itm;
+    if knowncolor _itm :
+      if __type = 0 :  def _datacolors =  _itm  enddef;
+      else:
+        expandafter  def
+        expandafter _datacolors
+        expandafter =  _datacolors, _itm enddef;
+      fi
       next __type;
     else:  GBwarn "Improper color in setdatacolors().";
     fi
   endfor
   if __type > 1:
-    save colortype;  colortype := __type;
-    color colortype[];
-    for _j = 0 upto colortype - 1:
-      colortype[_j] := __type[_j];
+    save colortype, _tmpstr;
+    colortype := 0;
+    % colortype[] is an array of strings:
+    string colortype[], _tmpstr;
+    for _itm = _datacolors: %
+    % Each string is the name of some color variable
+      _tmpstr := "colortype_"&romannumeral(colortype);
+      setcolor (scantokens(_tmpstr)) _itm;
+      colortype[colortype] := _tmpstr;
+      next colortype;
     endfor
   else:
     SetdataWarn "colors";
   fi
 enddef;
-def getcolor expr n =  colortype[n mod colortype]  enddef;
+def getcolor expr n = (scantokens (colortype[n mod colortype])) enddef;
 
-color dBlue, dOrange, dGreen, dMagenta, dCyan, dYellow;
-dBlue := 0.80blue + .2white;
-dOrange := 0.66yellow + .34red;
-dGreen := 0.80green;
-dMagenta := 0.85magenta;
-dCyan := 0.85cyan;
-dYellow := 0.85yellow;
+numeric colortype;  string colortype[];
 
-numeric colortype;  color colortype[];
+setcolor (dRed)     (1, 0, 0);
+setcolor (dBlue)    (.2,.2,1);
+setcolor (dOrange)  (1,.34,0);
+setcolor (dGreen)   (0,.80,0);
+setcolor (dBlack)     cmykblack;
+if has_cmyk :
+  setcolor (dCyan)    cyan;
+  setcolor (dMagenta) magenta;
+  setcolor (dYellow)  yellow;
+else: % rgb colors seem to be lighter than the cmyk equivalents.
+  setcolor (dCyan)    cmyk(.85,0,0,.15);
+  setcolor (dMagenta) cmyk(0,.85,0,.15);
+  setcolor (dYellow)  cmyk(0,0,.85,.15);
+fi
 def defaultcolors =
-  setdatacolors(black, red, dBlue, dOrange, dGreen,
-    dMagenta, dCyan, dYellow);
+  setdatacolors(dBlack, dRed, dBlue, dOrange,
+    dGreen, dMagenta, dCyan, dYellow);
 enddef;
 defaultcolors;
 
diff --git a/Master/texmf-dist/source/generic/mfpic/grafbase.dtx b/Master/texmf-dist/source/generic/mfpic/grafbase.dtx
index fe734cbcc84..9d7c4bd010b 100644
--- a/Master/texmf-dist/source/generic/mfpic/grafbase.dtx
+++ b/Master/texmf-dist/source/generic/mfpic/grafbase.dtx
@@ -1,4 +1,7 @@
 % \iffalse
+%%% File: grafbase.dtx
+%%% A part of mfpic 1.00 2009/09/22
+%%%
 % -------------------------------------------------------------------
 %
 % Copyright 2002--2006, Daniel H. Luecking
@@ -16,7 +19,7 @@
 %
 %<*driver>
 \ProvidesFile{grafbase.dtx}
-  [2006/05/26 v0.9. Metafont/post macros to interface with mfpic.]%
+  [2009/09/22 v1.00. Metafont/post macros to interface with mfpic.]%
 \documentclass[draft]{ltxdoc}
 \usepackage{docmfp}
 
@@ -110,7 +113,7 @@
 %</driver>
 %\fi
 %
-% \CheckSum{1369}
+% \CheckSum{1465}
 % \CharacterTable
 %  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
 %   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
@@ -137,12 +140,13 @@
 % \file{.mp} file that, with the help of these macros and \MF{} (or \MP),
 % can be used to create pictures in the document, especially mathematical
 % pictures. There are two versions of \grafbase, one for \MF{} and one for
-% \MP{}. As they are more alike than different (96\% of the code is
+% \MP{}. As they are more alike than different (95\% of the code is
 % identical), we document both here.
 %
 % This file documents the \grafbase{} source code. The user manual for
-% \mfpic{} is distributed as \file{mfpman.pdf} produced from
-% \file{mfpman.tex}.
+% \mfpic{} is distributed as \file{mfpic-doc.pdf}, produced from
+% \file{mfpic-doc.tex}. An introductory guide to \mfpic{} is available
+% in \file{mfpguide.pdf}, produced from \file{mfpguide.pdf}
 % \end{abstract}
 %
 % \StopEventually{\PrintIndex}
@@ -181,7 +185,7 @@ fi
 boolean grafbase; grafbase := true;
 
 string fileversion, filedate;
-fileversion := "0.9";  filedate := "2006/05/26";
+fileversion := "1.00";  filedate := "2009/09/22";
 
 message " Loading grafbase macros, version " & fileversion & " " &
    filedate & ".";
@@ -228,9 +232,10 @@ def checkversions (expr g)=
   fi
 enddef;
 
-checkversions (90);
+checkversions (100);
 
 %    \end{macrocode}
+%
 % We try to make sure that the macros of \file{plain.mf} or
 % \file{plain.mp} (where \mfc{base_name} is defined to be \mfc{"plain"})
 % are available.
@@ -250,7 +255,7 @@ fi
 %
 % Of course, \MP{} natively knows about colors but \MF{} doesn't, so we
 % use that to set a boolean \gbc{METAPOST}. We don't simply check if
-% `\mfc{known blue}' is \mfc{true} because `\mfc{blue}' is certainly a legal
+% `\mfc{blue}' is \mfc{known} because `\mfc{blue}' is certainly a legal
 % variable name in \MF. Instead we check `\mfc{known color X}' for
 % some unlikely \gbc{X}. In \MP, `\gbc{color X}' is either true or
 % false (\gbc{X} is a color or it isn't) and therefore always known, so
@@ -260,28 +265,60 @@ fi
 % base name \mfc{color} and suffix \mfc{X}.
 %    \begin{macrocode}
 boolean METAPOST;
-
-if known color Geamparalele din Babadag:
-  METAPOST := true;
-else:
-  METAPOST := false;
-fi
+METAPOST := known color Geamparalele din Babadag;
+numeric metapostversion;
 
 %<*MF>
 if METAPOST:
   GBerrmsg ("wrong compiler.")
     "This file is for Metafont. For Metapost use grafbase.mp.";
 fi
+metapostversion := 0;
 %</MF>
+
 %<*MP>
 if not METAPOST:
   GBerrmsg ("wrong compiler.")
     "This file is for Metapost. For Metafont use grafbase.mf.";
 fi
-%</MP>
 
 %    \end{macrocode}
 %
+% \MP{} now exists in a couple of slightly incompatible versions.
+% Versions 1.000 and later (beta versions 0.900 also) have native support for
+% \texttt{CMYK} colors with a \mfc{cmykcolor} data type. It also
+% supports grayscale colors (i.e., \mfc{withcolor} will accept a numeric
+% expression), and has the alias \mfc{rgbcolor} for \mfc{color}.
+% It also has a means to set the  name of the output file: the
+% \mfc{filenametemplate} command. In versions 1.2 and later, this is
+% deprecated in favor of setting the internal string variable
+% \mfc{outputtemplate}.
+%    \begin{macrocode}
+numeric metapostversion;
+boolean has_cmyk;
+boolean has_filenametemplate; % e.g., filenametemplate "%j.%n;
+boolean has_outputtemplate; % e.g., outputtemplate := "%j.%n;
+if unknown mpversion:
+  % prior to introduction of cmykcolor and output filename templates.
+  % Latest such version was 0.641.
+  metapostversion := 0.641;
+  has_cmyk       := false;
+  has_filenametemplate := false;
+  has_outputtemplate := false;
+else:
+  metapostversion := scantokens (mpversion);
+  has_cmyk := true;
+  has_filenametemplate := true;
+  if metapostversion < 1.200:
+    has_outputtemplate := false;
+  else:
+    has_outputtemplate := true;
+  fi
+fi
+
+%</MP>
+%    \end{macrocode}
+%
 % \DescribeRoutine{GBdebug}
 % The \gbc{debug} flag is for developers, who should set it before
 % inputing \file{grafbase}.
@@ -551,9 +588,12 @@ boolean showbbox;  showbbox := false;
 %    \begin{macrocode}
 %<*MF>
 let color = numeric;  color black, white;
+let rgbcolor = numeric;
+let cmykcolor = numeric;
 black := 0;  white := 1;
 def withcolor text t =  enddef;
 %</MF>
+%<MP>if not has_cmyk:  let rgbcolor = color;  let cmykcolor = color;  fi
 def _wc_ =  withcolor  enddef;
 
 %    \end{macrocode}
@@ -580,110 +620,244 @@ background := white;
 %
 % \DescribeRoutine{snapto}
 % This truncates numerics to the $[0,1]$ range, but also returns a value
-% ($0$) for unknown and non-numeric input.
+% ($0$) for unknown input. It used to do the same for non-numeric input,
+% but that should be an error.  It would have made at least one of our
+% bugs easier to find if it had produced an error message.
 %    \begin{macrocode}
 vardef snapto expr t =
-  if unknown t:            0
-  elseif not (numeric t):  0
-  elseif t < 0:            0
-  elseif t > 1:            1
-  else:                    t
+  if numeric t:
+    if unknown t:  0
+    elseif t < 0:  0
+    elseif t > 1:  1
+    else:          t
+    fi
+  else:
+    GBerrmsg ("Improper expression type.")
+      "The argument to `snapto' must be a numeric.";
   fi
+
 enddef;
 
 %    \end{macrocode}
 %
-% The \mfpic{} handling of \LaTeX-like color models relies on being able
-% to convert those models to \MP's \opt{rgb} system. Because of the use of
-% \gbc{snapto}, the following color functions will return \mfc{black} for
-% unknown parameters. In the \MF{} case, they are all converted to
-% numerics through \gbc{makeclr}.
+% \DescribeRoutine{cmykgray}
+% \DescribeRoutine{rgbgray}
+% Now we deal with all the color functions and utilities that enable
+% \mfpic{} users to use colors without knowing what they are doing.
+% Since colors now come in three flavors, we start with gray levels in
+% the three models. In early \MP{}, the \gbc{cmyk} function will return
+% an \opt{rgb} color, so there is will be no  difference between these
+% two. In \MF{} \gbc{white} is a numeric and \gbc{cmyk} returns a
+% numeric, so these can be used with \MF{}, and both produce the same
+% result.
 %
-% \DescribeRoutine{gray}
-% The simplest is \gbc{gray} which converts a numeric to a multiple of
-% white. In \MF, \gbc{white} is a numeric and equal to $1$ so this is
-% almost redundant except for handling unknowns and out of range values.
+% \DescribeRoutine{grayscalegray}
+% The grayscale version should return a numeric in recent \MP{}, so
+% it needs a different definition for early \MP{}. Thus, it occurs
+% in the conditional code. Oddly, its definition is the same for \MF{}
+% and recent \MP{}.
+%    \begin{macrocode}
+vardef rgbgray  (expr g) =  (snapto g) * white  enddef;
+vardef cmykgray (expr g) =  cmyk(0,0,0,1 - snapto g)  enddef;
+
+%    \end{macrocode}
 %
-% \DescribeRoutine{makeclr}
-% This is defined to convert a triple of numerics to a color, mainly for
-% \MF. The formula has three desirable properties: it weights the
-% different color coordinates approximately like some color luminescence
-% models do, it assigns different graylevels to the eight colors that have
-% components 0 or 1 only, and it is biased toward lighter grays. Of course
-% it takes \mfc{black} to 0 and \mfc{white} to 1. In \MP, it simply turns
-% three numeric parameters to a color triple in the obvious way. It does
-% \emph{not} truncate the parameters, so if that is necessary, use
-% \gbc{rgb}.
+% In recent \MP{}, all the color functions are essentially no-ops. In
+% early \MP{}, they all return an \opt{rgb} color expression. In \MF{}
+% they all return a numeric. It is easiest if we simply separate the three
+% cases and write the code for each, rather than load all the functions
+% with three-way booleans (often containing nested booleans).
 %
-% \DescribeRoutine{rgb}
-% To simplify \mfpic, we have the nearly redundant \gbc{rgb} which
-% converts a triple of numeric arguments to \opt{rgb}. Rather than make
-% it formally the identity function under \MP, we define it to handle
-% unknowns, and truncate out of range values.
+% For all three engines we require a deginition of the color functions
+% \gbc{gray(g)}, \gbc{rgb(r,g,b)}, and \gbc{cmyk(c,m,y,k)}, conversion
+% functions \gbc{makegray(x)}, \gbc{makergb(x)}, amd \gbc{makecmyk(x)},
+% and the boolean \gbc{iscolor clr}. The first three have to return
+% numerics for \MF{}, colors for early \MP{}, and the associated color
+% type for recent \MP{}.
 %    \begin{macrocode}
-vardef gray (expr g) =  (snapto g)*white  enddef;
-
-vardef makeclr (expr r, g, b) =
-%<MF>  gray (sqrt((2r*r + 4g*g + b*b)/7))
-%<MP>  (r, g, b)
-enddef;
+%<*MP>
+if has_cmyk :
+  vardef grayscalegray (expr g) =  snapto g  enddef;
+  vardef gray (expr g) =  grayscalegray (g)  enddef;
+  vardef cmyk (expr c, m, y, k) =
+    (snapto c, snapto m, snapto y, snapto k)
+  enddef;
 
-vardef rgb (expr r, g, b) =
-  makeclr (snapto r, snapto g, snapto b)
-enddef;
+%    \end{macrocode}
+%
+% \DescribeRoutine{colorchoice}
+% The \gbc{colorchoice} function (like \cs{mathchoice} in \TeX{}, after
+% which it was named) returns one of four bits of code: \gbc{D} (default)
+% if the first argument is unknown or not one of the recognized color
+% models, \gbc{N} if it is numeric, \gbc{R} if it is \mfc{rgbcolor}, and
+% \gbc{C} if it is \mfc{cmykcolor}. These arguments have to be \mfc{text}:
+% if they were `\mfc{expr}' \MP{} would try to evaluate them, with
+% possible errors since some of them apply functions that are not relevant
+% to the other types.
+%    \begin{macrocode}
+  def colorchoice (expr clr) (text D)(text N)(text R)(text C) =
+    if unknown clr:        D
+    elseif numeric clr:    N
+    elseif rgbcolor clr:   R
+    elseif cmykcolor clr:  C
+    else:                  D
+    fi
+  enddef;
 
 %    \end{macrocode}
 %
-% \DescribeRoutine{cmyk}
-% This algorithm for converting \opt{cmyk} values to \opt{rgb} values is
-% the one used in the PostScript header file \file{color.pro} (distributed
-% with \prog{dvips}).
+% \DescribeRoutine{makecmyk}\DescribeRoutine{makergb}\DescribeRoutine{makegray}
+% In \gbc{makecmyk} and all the other `\gbc{make}' conversions, the
+% default is to return black in the appropriate model, numerics produce
+% gray, and cmyk or rgb is either retained unchanged or converted to the
+% appropriate model.
+%
+% \DescribeRoutine{iscolor}
+% A variable is taken to be a color if it can validly follow
+% \mfc{withcolor}. This includes boolean, though we hope no one tries to
+% use it.
 %    \begin{macrocode}
-vardef cmyk (expr c, m, y, k) =
-  rgb (1-c-k, 1-m-k, 1-y-k)
-enddef;
+  vardef makecmyk primary clr =
+    colorchoice (clr)(cmykblack)(cmykgray(clr))
+    (rgbtocmyk(redpart clr,greenpart clr,bluepart clr))
+    (clr)
+  enddef;
+  vardef makergb primary clr =
+    colorchoice (clr)(rgbblack)(rgbgray(clr))(clr)
+    (cmyktorgb(cyanpart clr, magentapart clr, yellowpart clr, blackpart clr))
+  enddef;
+  vardef makegray primary clr =
+    colorchoice (clr)(grayscaleblack)(grayscalegray(clr))
+    (rgbtogray (redpart clr, greenpart clr, bluepart clr))
+    (cmyktogray(cyanpart clr, magentapart clr, yellowpart clr,
+        blackpart clr))
+  enddef;
+  vardef iscolor expr clr =
+    (rgbcolor clr) or (cmykcolor clr) or (numeric clr) or (boolean clr)
+  enddef;
+else:
+%    \end{macrocode}
+%
+% \DescribeRoutine{colorchoice}
+% In early \MP{} \gbc{colorchoice} is a three-way choice, since
+% \mfc{cmykcolor} is not an available data type, but numeric can still be
+% interpreted as a gray.
+% \DescribeRoutine{makecmyk}
+% \DescribeRoutine{makergb}
+% \DescribeRoutine{makegray}
+% The \gbc{make*} functions are simpler in early \MP{}, though not as
+% simple as in \MF{}. Ditto
+% \DescribeRoutine{iscolor}
+% \gbc{iscolor}.
+%    \begin{macrocode}
+  vardef gray (expr g) =  rgbgray(g)  enddef;
+  vardef grayscalegray (expr g) =  rgbgray(g)  enddef;
+  vardef cmyk (expr c, m, y, k) =  rgb (1-c-k, 1-m-k, 1-y-k)  enddef;
+  def colorchoice (expr clr) (text D)(text N)(text R) =
+    if unknown clr:       D
+    elseif numeric clr:   N
+    elseif rgbcolor clr:  R
+    else:                 D
+    fi
+  enddef;
+  vardef makergb  primary clr =
+    colorchoice (clr)(rgbblack)(rgbgray(clr))(clr)
+  enddef;
+  vardef makegray primary clr =
+    colorchoice (clr)(rgbblack)(rgbgray(clr))
+      (rgbtogray (redpart clr, greenpart clr, bluepart clr))
+  enddef;
+  def makecmyk =  makergb  enddef;
+  vardef iscolor expr clr =  color clr enddef;
+fi
 
+%</MP>
 %    \end{macrocode}
 %
-% \DescribeRoutine{RGB}
-% This merely rescales numbers in the range 0--255 to the range 0--1.
+% \DescribeMacro{knowncolor}
+% Once we have \gbc{iscolor} all we need to do is add a test for
+% \mfc{known} to get this boolean test.
+%    \begin{macrocode}
+vardef knowncolor expr clr =  (known clr) and (iscolor clr)  enddef;
+
+%    \end{macrocode}
 %
-% \DescribeRoutine{named}
-% These last two, like \gbc{rgb}, are nearly redundant, but they convert
-% numerics to gray, and convert other non-color variables and unknown
-% color variables to black.
-% \DescribeRoutine{forceclr}
-% The difference between \gbc{named} and \gbc{forceclr} is that the
-% former requires a suffix parameter (that is, a \emph{name}), while the
-% latter takes an expression. It may be that the latter will never be
-% needed, but for a time it seemed there were cases where we ought to use
-% it to force an expression to be a color.
+% These are the \MF{} versions. Everything pretty much returns its
+% numeric argument or $0$ (black).
 %    \begin{macrocode}
-vardef RGB (expr R, G, B) =
-  rgb (R/255, G/255, B/255)
+%<*MF>
+vardef grayscalegray (expr g) =  snapto g  enddef;
+vardef gray (expr g) =  grayscalegray (g)  enddef;
+vardef cmyk (expr c, m, y, k) =  rgb (1-c-k, 1-m-k, 1-y-k) enddef;
+vardef makegray  primary clr =
+  if knowncolor clr:  clr  else:  black  fi
 enddef;
+def makergb  =  makegray  enddef;
+def makecmyk =  makegray  enddef;
+vardef iscolor expr clr =  color clr enddef;
 
-vardef named (suffix c) =
-  if unknown c:  black  else:  forceclr (c)  fi
-enddef;
+%</MF>
+%    \end{macrocode}
+%
+% \DescribeRoutine{forcecolor}
+% \DescribeRoutine{named}
+% This is only used in the \gbc{named} function to force a color. In
+% \MF{} the tests are all `\mfc{if numeric}'. In early \MP{} `\mfc{if
+% cmykcolor}' is the same as `\mfc{if rgbcolor}'.
+%    \begin{macrocode}
 vardef forceclr (expr c) =
-  if numeric c:    gray (c)
-  elseif color c:  c
-  else:            black
+  if unknown c :
+    if numeric c:  grayscaleblack
+    elseif rgbcolor c:   rgbblack
+    elseif cmykcolor c: cmykblack
+    else: black
+    fi
+  elseif numeric c:  gray (c)
+  elseif iscolor c:  c
+  else:  black
   fi
 enddef;
+vardef named (suffix c) =  forceclr (c)  enddef;
 
 %    \end{macrocode}
-% And then the standard colors. Using \gbc{rgb} ensures they are defined
-% in \MF{} as well as \MP.
+%
+% \DescribeRoutine{togray}
+% \DescribeRoutine{rgbtogray}
+% \DescribeRoutine{cmyktogray}
+% \DescribeRoutine{cmyktorgb}
+% \DescribeRoutine{rgbtocmyk}
+% These are used for the conversions. Strictly speaking they do not
+% `convert' as they all take multiple numeric arguments rather than any
+% sort of color. As \mfc{rgbcolor} exists in both early and recent
+% \MP{} as the same data type, we need only distinguish \MF{} from \MP{}
+% \DescribeRoutine{rgb}
+% in the function \gbc{rgb},
 %    \begin{macrocode}
-color red, green, blue, cyan, magenta, yellow;
-red     := rgb (1, 0, 0);
-green   := rgb (0, 1, 0);
-blue    := rgb (0, 0, 1);
-cyan    := rgb (0, 1, 1);
-magenta := rgb (1, 0, 1);
-yellow  := rgb (1, 1, 0);
+vardef togray (expr r, g, b) =
+  gray (sqrt((2r*r + 4g*g + b*b)/7))
+enddef;
+
+vardef rgbtogray (expr r, g, b) =
+  togray(snapto r, snapto g, snapto b)
+enddef;
+vardef cmyktogray (expr c, m, y, k) =
+  rgbtogray (1-c-k,1-m-k,1-y-k)
+enddef;
+
+vardef cmyktorgb (expr c,m,y,k) =
+  rgb(1-c-k,1-m-k,1-y-k)
+enddef;
+vardef rgbtocmyk (expr r,g,b) =
+  cmyk(1-r,1-g,1-b,0)
+enddef;
+
+vardef rgb (expr r, g, b) =
+%<MF>  togray (snapto r, snapto g, snapto b)
+%<MP>  (snapto r, snapto g, snapto b)
+enddef;
+vardef RGB (expr R, G, B) =
+  rgb (R/255, G/255, B/255)
+enddef;
 
 %    \end{macrocode}
 %
@@ -717,7 +891,7 @@ yellow  := rgb (1, 1, 0);
 def list (suffix v) (text lst) =
   v := 0;  for _itm = lst:  v[incr v] := _itm;  endfor
   if v = 0:
-    GBerrmsg ("no list to process!")
+    GBerrmsg ("No list to process!")
       "An attempt was made to produce an array from a "
     & "list of expressions having no valid entries.";
   fi
@@ -732,6 +906,7 @@ def map (text proc) (text lst) =
 enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{knownnumericarray}
 % Checks if a suffix is the name of an array. Requires \gbc{arr} to be a
 % known positive integer, and all the variables \gbc{arr[n]} to be known
@@ -898,7 +1073,7 @@ enddef;
 %    \end{macrocode}
 %
 % \DescribeRoutine{xprod}
-% A binary operation between pairs $z\sb1$ and $x\sb2$ that returns the
+% A binary operation between pairs $z\sb1$ and $z\sb2$ that returns the
 % cross product $x\sb1 y\sb2 - x\sb2 y\sb1$. This gives, among other
 % things, twice the area of the triangle with two sides $z\sb1$ and
 % $z\sb2$. It is used only in \gbc{mkconvex}.
@@ -1078,25 +1253,36 @@ enddef;
 % This is are mainly to save space in \mfpic-generated files. In \grafbase{}
 % itself the \mfc{save} is often inconvenient, but it turns out there are
 % many cases where it \emph{is} used; enough so that we have abbreviations
+% \RoutineIndex{setnumeric}\gbc{setnumeric},
+% \RoutineIndex{setboolean}\gbc{setboolean},
+% \RoutineIndex{setpair}\gbc{setpair},
+% \RoutineIndex{setpath}\gbc{setpath},
 % \RoutineIndex{setpicture}\gbc{setpicture},
-% \RoutineIndex{setpath}\gbc{setpath}, \RoutineIndex{setpair}\gbc{setpair}
-% and \RoutineIndex{setboolean}\gbc{setboolean}, together with the
+% and \RoutineIndex{setstring}\gbc{setstring}, together with the
 % common uses \RoutineIndex{newpicture}\gbc{newpicture} and
-% \RoutineIndex{convertpath}\gbc{convertpath}.
-% \DescribeRoutine{gsetvariable}\gbc{gsetvariable} is the global
-% version. It has no abbreviations, but it is occasionally needed for
-% \mfpic{}. The only difference is the lack of a \gbc{save}. None of these
-% commands take the value as a parameter. That should follow, and is picked
-% up by the ending \mfc{:=}.
+% \RoutineIndex{convertpath}\gbc{convertpath}. There is also a
+% \gbc{setcolor}, but that has such a different definition that we reserve
+% it for later.
+%
+% For completeness, we also include the remaining two abbreviations,
+% \RoutineIndex{setpen}\gbc{setpen} and
+% \RoutineIndex{settransform}\gbc{settransform}, even though they are not
+% used anywhere in \grafbase{}.
+%
+% \DescribeRoutine{gsetvariable}\gbc{gsetvariable} is the global version.
+% It has no abbreviations, but it is occasionally needed for \mfpic{}. The
+% only difference between it and the local version is the lack of a
+% \gbc{save}. None of these commands take the value as a parameter. That
+% should follow, and is picked up by the ending \mfc{:=}.
 %
 % \DescribeRoutine{setarray}
 % Then \gbc{setarray} is the array version. It takes the same parameters
 % as \gbc{setvariable}, but what should follow is a list of expressions in
 % parentheses. It calls \gbc{list} to read each item into
-% \gbc{name1}, \gbc{name2}, etc.
-% \DescribeRoutine{setpairs}\gbc{setpairs} is an abbreviation for arrays
-% of pairs. There is also has a global version
+% \gbc{name1}, \gbc{name2}, etc. There is also has a global version
 % \DescribeRoutine{gsetarray}\gbc{gsetarray}.
+% \DescribeRoutine{setpairs}\gbc{setpairs} is an abbreviation for arrays
+% of pairs. Historically, it came first.
 %    \begin{macrocode}
 def setvariable (text kind) (suffix name) =
   save name;  kind name;  name :=
@@ -1108,8 +1294,10 @@ def setnumeric (suffix name) =  save name;  name :=  enddef;
 def setboolean   =  setvariable (boolean)  enddef;
 def setpair      =  setvariable (pair)  enddef;
 def setpath      =  setvariable (path)  enddef;
-def setcolor     =  setvariable (color)  enddef;
 def setpicture   =  setvariable (picture)  enddef;
+def setstring    =  setvariable (string)  enddef;
+def settransform =  setvariable (transform)  enddef;
+def setpen       =  setvariable (pen)  enddef;
 def settension (suffix tn) expr tens =
   setnumeric (tn) if tens > 0:  tens  else:  default_tension  fi;
 enddef;
@@ -1127,7 +1315,6 @@ def gsetarray (text kind) (suffix name) =
 enddef;
 
 %    \end{macrocode}
-%
 % The next are slightly different, but seem to belong here.
 
 % \DescribeRoutine{setbbox}
@@ -1148,6 +1335,111 @@ def setsplit (suffix s) expr ss =
   setnumeric (s) emax (1, ceiling ss);
 enddef;
 
+%<*MP>
+if has_cmyk:
+  def setrgbcolor  =  setvariable (rgbcolor)  enddef;
+  def setcmykcolor =  setvariable (cmykcolor)  enddef;
+  def setcolor (suffix name) expr val =
+    if     boolean   val :  setboolean
+    elseif numeric   val :  setnumeric
+    elseif rgbcolor  val :  setrgbcolor
+    elseif cmykcolor val :  setcmykcolor
+    % this should give a suitable error message:
+    else:  setvariable (color)
+    fi  (name) val;
+  enddef;
+  def gsetcolor (suffix name) expr val =
+    if     boolean   val :  boolean name;
+    elseif numeric   val :  numeric name;
+    elseif rgbcolor  val :  rgbcolor name;
+    elseif cmykcolor val :  cmykcolor name;
+    else:  color name;
+    fi  name := val;
+  enddef;
+else:
+  def setrgbcolor  =  setcolor  enddef;
+  def setcmykcolor =  setcolor  enddef;
+  def setcolor = setvariable (color) enddef;
+  def gsetcolor = gsetvariable (color) enddef;
+fi
+%</MP>
+%<*MF>
+def setrgbcolor  =  setcolor  enddef;
+def setcmykcolor =  setcolor  enddef;
+def setcolor = setvariable (color) enddef;
+def gsetcolor = gsetvariable (color) enddef;
+%</MF>
+
+%    \end{macrocode}
+%
+% And then the standard colors. Using the color functions ensures that
+% they are defined in \MF{} as well as all versions of \MP{}. In early
+% \MP{} they are all \mfc{rgbcolor}, in \MF{} they are all numeric. In
+% recent \MP{}, they have the type correspondimg to the name of the
+% color function, with \gbc{gray()} being numeric.
+%    \begin{macrocode}
+setcolor(rgbblack) rgb(0,0,0);
+setcolor(red)      rgb(1,0,0);
+setcolor(green)    rgb(0,1,0);
+setcolor(blue)     rgb(0,0,1);
+setcolor(rgbwhite) rgb(1,1,1);
+setcolor(cmykwhite) cmyk(0,0,0,0);
+setcolor(cyan)      cmyk(1,0,0,0); % Maybe these should
+setcolor(magenta)   cmyk(0,1,0,0); % be rbg for backward
+setcolor(yellow)    cmyk(0,0,1,0); % compatibility?
+setcolor(cmykblack) cmyk(0,0,0,1);
+setcolor(grayscaleblack) gray(0);
+setcolor(grayscalewhite) gray(1);
+
+%<*MP>
+if has_outputtemplate:
+  def setoutputtemplate =  outputtemplate :=  enddef;
+elseif has_filenametemplate:
+  def setoutputtemplate =  filenametemplate  enddef;
+else:
+  def setoutputtemplate text garbage =  enddef;
+fi
+%</MP>
+%<MF>def setoutputtemplate text garbage = enddef;
+
+def romannumeral =  _romannumeral (true)  enddef;
+vardef _romannumeral (expr prefix, X) =
+  save Y, _tmp, U; string U;
+
+  Y.m := X div 1000;        % thousands digit
+    _tmp := X - 1000Y.m;    % hundreds digits and lower
+  Y.c := _tmp div 100;      % hundreds
+    _tmp := _tmp - 100Y.c;  % tens and units
+  Y.x := _tmp div 10;       % tens
+  Y.i := _tmp - 10Y.x;      % units
+
+  strrepeat("m", Y.m) &
+  romandigit(prefix, "c", "d", "m", Y.c) &
+  romandigit(prefix, "x", "l", "c", Y.x) &
+  romandigit(prefix, "i", "v", "x", Y.i)
+enddef;
+
+vardef romandigit (expr prefix, bot, mid, top, n) =
+  if n > 9 :    top & strrepeat(bot, n-10)   % shouldn't happen
+  elseif n > 8 :
+    if prefix:  bot & top                    % "ix"
+    else:       mid & bot & bot & bot & bot  % "viiii"
+    fi
+  elseif n > 4 :  mid & strrepeat (bot, n-5) % "v"--"viii"
+  elseif n > 3 :
+    if prefix:  bot & mid                    % "iv"
+    else:       bot & bot & bot & bot        % "iiii"
+    fi
+  else:         strrepeat (bot, n)           % ""--"iii" for 0--3
+  fi
+enddef;
+
+vardef strrepeat (expr st, rep) =
+  setstring (_sr) "";
+  for i = 1 upto rep:  _sr := _sr & st;  endfor
+  _sr
+enddef;
+
 %    \end{macrocode}
 %
 % \section{The \grafbase{} Coordinate System}\label{coordinate}
@@ -1211,8 +1503,8 @@ enddef;
 % by \gbc{unitlen} gets us sharped coordinates. For \MF{},
 % multiplication by \mfc{hppp} converts to device coordinates, while for
 % \MP{} sharped and device are the same (the printer's PostScript
-% rasterizing engine---or \prog{GhostScript}---does the final conversion
-% to actual pixels).
+% rasterizing engine---\prog{GhostScript} perhaps---does the final
+% conversion to actual pixels).
 %
 % In \MF{}, \mfc{currenttransform} (via the macro \mfc{.t_}, defined by
 % \mfc{mode_setup}) takes care of the aspect ratio. In \MP{} the final
@@ -1554,7 +1846,7 @@ label_sep :=  0;  labelpath_sep := 0;
 % expressions, it will actually place any picture, \gbc{s}. If you feed it
 % a string or path, it will convert it to a picture (with the \mfc{infont}
 % operator or the \gbc{picpath} macro).
-
+%
 % The macro \gbc{newgblabel} takes 6 parameters. The first three
 % parameters could easily be condensed into two if \mfpic{} support were
 % all that was required, however I thought it best to make it general.
@@ -1789,6 +2081,7 @@ def textovalx =  xellipse (true)  enddef;
 def textellipsex =  xellipse (false)  enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{xellipse}
 % In \gbc{xellipse}, \gbc{aa} and \gbc{bb} are the horizontal and
 % vertical radii of the resulting ellipse, while \gbc{ww} and \gbc{hh}
@@ -1904,6 +2197,7 @@ def TruncateWarn expr s =
 enddef;
 
 %    \end{macrocode}
+%
 % In addition to \mfc{sind} and \mfc{cosd} which take angles in degrees,
 % we define the remaining trig functions \gbc{tand}, \gbc{cotd},
 % \gbc{secd}, and \gbc{cscd}.
@@ -1935,6 +2229,7 @@ enddef;
 vardef cotd primary X =  cosd(X)*cscd(X)  enddef;
 
 %    \end{macrocode}
+%
 % These are the inverse functions, which return an angle in degrees:
 % \RoutineIndex{acos}\gbc{acos}, \RoutineIndex{asin}\gbc{asin} and
 % \RoutineIndex{atan}\gbc{atan}.
@@ -1958,6 +2253,7 @@ enddef;
 vardef atan primary X =  angle (1, X)  enddef;
 
 %    \end{macrocode}
+%
 % Now the trig functions that take angles in radians:
 % \RoutineIndex{sin}\gbc{sin}, \RoutineIndex{cos}\gbc{cos},
 % \RoutineIndex{tan}\gbc{tan}, \RoutineIndex{cot}\gbc{cot},
@@ -1979,6 +2275,7 @@ vardef csc primary X =  cscd (X*radian)  enddef;
 %    \begin{macrocode}
 vardef degrees (expr t) =  t*radian  enddef;
 vardef radians (expr t) =  t/radian  enddef;
+
 %    \end{macrocode}
 %
 % And the inverses (\RoutineIndex{invsin}\gbc{invsin},
@@ -2007,19 +2304,6 @@ def logtwo =  logbase( 2)  enddef;
 def logten =  logbase(10)  enddef;
 
 %    \end{macrocode}
-% \CMF's pair variables are a decent replacement for complex variables.
-% These give some of the more basic functions of standard complex
-% analysis: \RoutineIndex{Arg}\gbc{Arg}, \RoutineIndex{Log}\gbc{Log},
-% \RoutineIndex{cis}\gbc{cis}, \RoutineIndex{zexp}\gbc{zexp} and
-% \RoutineIndex{sgn}\gbc{sgn}.
-%    \begin{macrocode}
-vardef Arg primary Z =  (angle Z)/radian  enddef;
-vardef Log primary Z =  (ln (abs Z), Arg Z)  enddef;
-vardef cis primary T =  dir (T*radian)  enddef;
-vardef zexp primary Z =  (exp (xpart Z)) * cis (ypart Z)  enddef;
-vardef sgn primary Z =  if not (Z = origin):  unitvector  fi  Z  enddef;
-
-%    \end{macrocode}
 %
 % The hyperbolic functions: \RoutineIndex{cosh}\gbc{cosh}
 % \RoutineIndex{sinh}\gbc{sinh}, \RoutineIndex{tanh}\gbc{tanh},
@@ -2074,6 +2358,7 @@ vardef coth primary X =
 enddef;
 
 %    \end{macrocode}
+%
 % The inverses of some of the hyperbolic functions:
 % \RoutineIndex{acosh}\gbc{acosh}, \RoutineIndex{asinh}\gbc{asinh} and
 % \RoutineIndex{atanh}\gbc{atanh}.
@@ -2100,6 +2385,42 @@ enddef;
 
 %    \end{macrocode}
 %
+% \CMF's pair variables are a decent replacement for complex variables.
+% These give some of the more basic functions of standard complex
+% analysis: \RoutineIndex{Arg}\gbc{Arg}, \RoutineIndex{Log}\gbc{Log},
+% \RoutineIndex{cis}\gbc{cis}, \RoutineIndex{zexp}\gbc{zexp},
+% \RoutineIndex{sgn}\gbc{sgn}, and \RoutineIndex{conj}\gbc{conj}.
+%    \begin{macrocode}
+vardef Arg primary Z =  (angle Z)/radian  enddef;
+vardef Log primary Z =  (ln (abs Z), Arg Z)  enddef;
+vardef cis primary T =  dir (T*radian)  enddef;
+vardef zexp primary Z =  (exp (xpart Z)) * cis (ypart Z)  enddef;
+vardef sgn primary Z =  if not (Z = origin):  unitvector  fi  Z  enddef;
+vardef conj primary Z = (xpart Z, -ypart Z) enddef;
+
+%    \end{macrocode}
+%
+% \DescribeRoutine{Moebius}
+% A less basic operation: the Moebius shift which takes the disk $|z| <
+% 1$ onto itself. It is a hyperbolic geometry analog of shifting points
+% in Euclidean geometry. Its mathematical definition (all variables are
+% complex numbers):
+% \[
+%   M_a(z) = \frac{z + a}{1 - \bar az}
+% \]
+% \DescribeRoutine{pshdist}
+% Related to \gbc{Moebius} is the pseudohyperbolic metric. The distance
+% between $z$ and $w$ in this metric is $|z-w|/|1 - \bar wz|$.
+%    \begin{macrocode}
+vardef Moebius (expr A) primary Z =
+  save _D; pair _D;
+  _D := (1, 0) + (Z zscaled (conj A));
+  (Z + A)/(abs _D) rotated (- angle _D)
+enddef;
+vardef pshdist (expr Z,W) =  abs(Moebius(-W)(Z))  enddef;
+
+%    \end{macrocode}
+%
 % \DescribeRoutine{polar}
 % \gbc{polar} converts a polar coordinate pair $(r, \theta)$ to the
 % corresponding rectangular coordinate pair.
@@ -2125,6 +2446,7 @@ primarydef x**y =
   fi
 enddef;
 let ^ = **;
+
 %    \end{macrocode}
 %
 % \section{Coordinate Systems and Transformations}\label{systems}
@@ -2146,6 +2468,7 @@ let ^ = **;
 %    \begin{macrocode}
 transform T_stack[];
 numeric T_stack;  T_stack := 0;
+
 def T_push (expr T) =  T_stack[incr T_stack] := T;  enddef;
 def T_pop (suffix $) =
   if T_stack > 0:
@@ -2451,6 +2774,7 @@ enddef;
 def mono (suffix u) =  cull u keeping (1, infinity);  enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{andto, picand}
 % The bitwise and: in the resulting picture, a pixel is \emph{on} if and
 % only if it is \emph{on} in both \gbc{u} and \gbc{v}. \gbc{andto} is
@@ -2465,6 +2789,7 @@ primarydef u picand v =
 enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{orto, picor}
 % The inclusive or: in the result, a pixel is \emph{on} if and only if it
 % is \emph{on} in \gbc{u} or \gbc{v} or both. I've written these so that
@@ -2488,6 +2813,7 @@ primarydef u picor v =
 enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{xorto, picxor}
 % The exclusive or, also called the symmetric difference:
 % in the result, a pixel is \emph{on} if and only if it is \emph{on} in
@@ -2502,6 +2828,7 @@ primarydef u picxor v =
 enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{subto}
 % The nonsymmetric difference: in the result, a pixel is \emph{on} if
 % and only if it is \emph{on} in \gbc{u} and off in \gbc{v}. It is
@@ -3357,7 +3684,7 @@ enddef;
 %
 % \DescribeRoutine{stored}
 % The macro \gbc{stored} performs \gbc{store}, but passes the same path as
-% its return value. This is used by \mfpic{} to implements the \cs{store}
+% its return value. This is used by \mfpic{} to implement the \cs{store}
 % command, allowing it to also be a prefix macro
 %
 % I don't know if \gbc{store} needs to employ \mfc{hide()}, but it seems
@@ -3366,7 +3693,7 @@ enddef;
 def store (suffix fs) expr f =
 hide (
   if (not path f) and (not pair f):
-    GBerrmsg ("improper expression type.")
+    GBerrmsg ("Improper expression type.")
       "The second argument to `store' must be a path or pair.";
   fi
   if not path fs:  path fs;  fi
@@ -4007,7 +4334,6 @@ vardef gendashed (suffix pat) expr f =
         picture _v;  _v := nullpicture;
         _d0 := 0;  _t0 := 0;
         dashit (_dpat.start) (_v);
-
 %    \end{macrocode}
 % The parameters to \gbc{dashit} are the name of the part of the dashing
 % pattern that is being drawn, and a temporary picture variable. The
@@ -4228,7 +4554,6 @@ enddef;
 
 %    \end{macrocode}
 %
-%
 % The \mfpic{} command \cs{dashed} is now implemented by making a
 % dashpattern from the two arguments and calling gendashed. That is the
 % definition of \gbc{DASHED}.
@@ -4324,6 +4649,7 @@ vardef colorshowcontrols (expr clr, syma, symb, size) expr f =
 enddef;
 
 %    \end{macrocode}
+%
 % \subsection{Double-line drawing}\label{doubleline}
 %
 % \DescribeRoutine{doubledraw}
@@ -4585,6 +4911,7 @@ vardef axis@# (expr len) =  headpath (len, 0, 0) axisline@#  enddef;
 vardef borderrect =
   rect((xneg+laxis,yneg+baxis),(xpos-raxis,ypos-taxis))
 enddef;
+
 %    \end{macrocode}
 %
 % Tick marks can be on the inside or outside of a border axis,
@@ -4921,6 +5248,7 @@ def polargridpoints (expr dsize, rstep, tstep) =
 enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{beginpolargrid}
 % This calls \gbc{getpolarbounds} to compute the bounds (on $r$ and
 % $\theta$) of the smallest polar coordinate patch that covers the graph
@@ -5037,7 +5365,8 @@ enddef;
 % the upright rectangle with those points at opposite corners. It might be
 % noted that if the corners really are lower left and upper right, then
 % the path is anticlockwise, If they are on the other diagonal, the
-% path is clockwise. The path is a cycle (closed).
+% path is clockwise. The path is a cycle (closed). The starting/ending
+% point (needed for arrows and the like) is the first point of the two.
 %
 % \DescribeRoutine{triangle}
 % Produces a closed path joining three points with straight lines; first
@@ -5230,20 +5559,46 @@ enddef;
 %    \begin{macrocode}
 vardef turtle (text t) =
   setnumeric (_tu) 0;
-  pair _tu[];  _tu0 := origin;
-  for _a = t:  _tu[incr _tu] := _tu[_tu - 1] + _a;  endfor
+  setpair (_tmp) origin;
+  pair _tu[];
+  for _a = t:
+    _tmp := _tmp + _a;
+    _tu[incr _tu] := _tmp;
+  endfor
   if _tu = 0:  NoPoints("turtle", _tu);  fi
   mkpoly (false, _tu)
 enddef;
 
 %    \end{macrocode}
 %
+% \DescribeRoutine{brownianpath}
+% I needed the following to illustrate Brownian motion. It takes a given
+% starting point, a given number of steps and a scaling factor. It
+% generates a sequence of random points, each one being chosen randomly
+% using a Gaussian distribution centered at the previous point. Strictly
+% speaking this is a Gaussian random walk, not Brownian motion. A true
+% Brownian motion would be a limit of these, with \gbc{num} tending to
+% $\infty$ and \gbc{sc} tending to 0.
+%    \begin{macrocode}
+vardef brownianpath (expr start, num, sc) =
+  setnumeric (_brp) 1;
+  setpair (_tmp) start;
+  pair _brp[];  _brp1 := _tmp;
+  for _idx := 1 upto num:
+    _tmp := _tmp + sc/(sqrt 2)*(normaldeviate,normaldeviate);
+    _brp[incr _brp] := _tmp;
+  endfor
+  mkpoly (false, _brp)
+enddef;
+
+%    \end{macrocode}
+%
 % \subsection{Smooth paths}\label{smooth}
 %
 % We added an optional parameter for the tension of smooth curves to
 % \mfpic. It used to be implemented this way: functions that implement a
 % tension parameter set \gbc{cur_tension} and called \gbc{mksmooth}, which
-% uses that tension in its formation of a path. Since \gbc{mksmooth} was
+% used that tension in its formation of a path. Since \gbc{mksmooth} was
 % only ever used in this way, I decided to change its syntax to include a
 % tension parameter. Only the functions \gbc{tcurve} and \gbc{mkpath}
 % actually call \gbc{mksmooth} directly, most other path building commands
@@ -5276,6 +5631,7 @@ vardef mksmooth (expr tens, cyclic) (suffix pts) =
 enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{mktenser}
 % This is just like \gbc{mksmooth}, except the tension value is preceded
 % by \mfc{atleast}. At this writing only \gbc{mkconvex} uses it (as a
@@ -5313,7 +5669,7 @@ enddef;
 % the flatness is infinite and the curve is forced in that direction. We
 % measure the flatness using the square root of the area of the triangle
 % made by the given point and the the next two points. Those three points
-% lie on a line just when the area is $0$. Using this measure of fltness
+% lie on a line just when the area is $0$. Using this measure of flatness
 % can be disputed (two triangles can be equally flat in terms of angles
 % but different in terms of areas), but it has the advantage that if the
 % points are subjected to an affine transformation, the weighting is
@@ -5453,22 +5809,25 @@ enddef;
 %
 % \DescribeRoutine{mkqbezier}
 % \gbc{mkqbezier} requires an even number of points for a cyclic path,
-% an odd number for a noncyclic path. The \mfc{for}-loop ends on the last
-% odd index. If \gbc{pts} is odd and \gbc{cyclic} is true we need to
-% manufacture another control point for the connection back to the
-% start. We take that to be a repetition of the last point. If \gbc{pts}
-% is even and \gbc{cyclic} is false then the loop ends at \gbc{pts-1}.
-% Again we need to pick a control to connect to the last point, and again
-% we use that last point as the control. In these two cases the last
-% link is a straight line.
+% an odd number for a noncyclic path. It does not check for this, but
+% the calling macro \gbc{qbezier} does. If the parity is incorrect, it
+% repeats the last point in the list. This has the effect of making
+% the last link a straight line.
 %
 % \DescribeRoutine{qbezier}
 % The \gbc{qbezier} command takes a list of points and creates an array
 % from then before calling \gbc{mkqbezier}.
+%
+% \DescribeRoutine{mkcbezier}
+% This is like \gbc{mkqbezier}, but needs a multiple of 3 for a closed
+% cubic bezier, one more (the endpoint) for an open cubic bezier.
+%
+% \DescribeRoutine{cbezier}
+% Like \gbc{qbezier}, but calls \gbc{mkcbezier}.
 %    \begin{macrocode}
 vardef mkqbezier (expr cyclic) (suffix pts) =
   pts1
-  if pts=1:  {0,0}
+  if pts=1: {0,0}
   else:
     for _i = 2 step 2 until pts - 1:
       ..controls 1/3[pts[_i], pts[_i-1] ] and 1/3[pts[_i], pts[_i+1] ]..
@@ -5483,8 +5842,7 @@ enddef;
 
 vardef qbezier (expr cyclic) (text t) =
   setpairs (_qbz) (t);
-  if _qbz=0:  NoPoints ("qbezier", _qbz);  fi
-  if _qbz=1:  onepointpath (cyclic, _qbz1)
+  if _qbz=0:  NoPoints ("qbezier", _qbz);
   else:
     if (cyclic and odd _qbz) or (not cyclic and even _qbz):
       _qbz[incr _qbz] := _qbz[_qbz-1];
@@ -5493,6 +5851,45 @@ vardef qbezier (expr cyclic) (text t) =
   fi
 enddef;
 
+vardef mkcbezier (expr cyclic) (suffix pts) =
+  pts1
+  if pts=1:  {0,0}
+  else:
+    for _i = 1 step 3 until pts - 3:
+      ..controls pts[_i+1] and pts[_i+2] .. pts[_i+3]
+    endfor
+    if cyclic:
+      ..controls  pts[pts - 1] and pts[pts]..cycle
+    fi
+  fi
+enddef;
+
+vardef cbezier (expr cyclic) (text t) =
+  setpairs (_cbz) (t);
+  if _cbz=0:  NoPoints ("qbezier", _cbz);
+  else:
+    % Need 0 mod 3 for cyclic, otherwise 1 mod 3
+    setnumeric (_mdt) _cbz mod 3;
+    if cyclic:
+      if _mdt <> 0:  _cbz[incr _cbz] := _cbz[_cbz-1];  fi
+      if _mdt = 1 :  _cbz[incr _cbz] := _cbz1;  fi
+    else: % need 1 more, duplicate next to last
+      if _mdt = 0:
+        _cbz := _cbz + 1;
+        _cbz[_cbz]   := _cbz[_cbz-1];
+        _cbz[_cbz-1] := _cbz[_cbz-2];
+      fi
+      if _mdt = 2: % need 2 more, duplicate last 2.
+        _cbz := _cbz + 2; % add 2 slots
+        _cbz[_cbz]   := _cbz[_cbz-2]; % fill them
+        _cbz[_cbz-1] := _cbz[_cbz-2]; % with last node
+        _cbz[_cbz-2] := _cbz[_cbz-3]; % orig last slot = orig previous.
+      fi
+    fi
+    mkcbezier (cyclic) (_cbz)
+  fi
+enddef;
+
 %    \end{macrocode}
 %
 % When calling \gbc{curve} or \gbc{tcurve} there can be a problem
@@ -5513,13 +5910,13 @@ enddef;
 % ourselves. By default we choose the two controls so the \mfc{xpart}s
 % divide the $x$-interval into three equal parts. This makes the B\'ezier
 % $f(t)$ linear in the $x$-part and so has the added `advantage' that in
-% each segment, $y$ is a cubic function of $x$. It is not a spline, as we
-% compute the controls locally and allow them to be modified by an
-% additional parameter.
+% each segment, $y$ is a cubic function of $x$. It is not a spline, as
+% the computation of the controls uses only the two nearest points, plus
+% we allow them to be modified by an additional parameter.
 %
 % Another concern is what direction to place the controls. In
 % \gbc{mksmooth} we ask the direction at a given point to be the average
-% of the straight line directions to adjacent points. We now do the same
+% of the straight line directions to adjacent points. We do the same
 % here, though it is not clear if this is best.
 %
 % Finally, we permit a tension of sorts by dividing the distance to the
@@ -5536,14 +5933,15 @@ enddef;
 % Following discussions with Stephan Hennig in \texttt{comp.text.tex} I
 % came to the conclusion that the method used ought to satisfy the
 % following: if the data are xscaled or yscaled, the control vectors ought
-% to scale the same way. The current version does that.
+% to scale the same way. The current version does that, the previous one
+% did not.
 %
 % \DescribeRoutine{mkfcnpath}
 % This produces the path, calling \gbc{fcncontrol} to produce the controls.
 %
 % \DescribeRoutine{fcncurve}
 % This is the \mfpic{} interface; \gbc{fcncurve} calls \gbc{functioncurve}
-% with the default tension, which \DescribeRoutine{functioncurve}then
+% with the default tension, and \DescribeRoutine{functioncurve}then
 % takes a list of points, converts it to an array, and calls
 % \gbc{mkfcnpath} to build the path.
 %    \begin{macrocode}
@@ -5622,6 +6020,7 @@ vardef qspline (expr cyclic) (text t) =
   fi
   mkqbs (_qs) if cyclic:  & cycle  fi
 enddef;
+
 %    \end{macrocode}
 %
 % These cubic B-splines also require a list of `control' points. Each of
@@ -5685,6 +6084,7 @@ vardef cspline (expr cyclic) (text t) =
   fi
   mkcbs (_cs) if cyclic:  & cycle  fi
 enddef;
+
 %    \end{macrocode}
 %
 % \subsection{Splines with computed controls}\label{computedsplines}
@@ -5729,8 +6129,8 @@ enddef;
 % \DescribeRoutine{relaxed_spline_eqns}relaxed splines they force
 % the second derivative to be 0 at the first and last point.
 %
-% The macro \gbc{mksplinepath} simply assembles the points and controls
-% previously computed into a path.
+% The macro \gbc{mksplinepath} simply assembles the previously computed
+% points and controls into a path.
 %
 % \DescribeRoutine{mkspline}\gbc{mkspline} issues the
 % common equations and then either the closed equations (\gbc{closed =
@@ -5791,6 +6191,7 @@ vardef dospline (expr closed) (text the_list) =
 enddef;
 
 %    \end{macrocode}
+%
 % The above computations produce a $2$-dimensional spline. A $1$-dimensional
 % cubic spline would be a function $f(t)$ with numeric values rather
 % than pair values. Such are often used to interpolate functions. That is,
@@ -6078,9 +6479,12 @@ enddef;
 % the angle $\pm 180$, which produces a half circle.
 %    \begin{macrocode}
 vardef arcpp (expr small, begpt, endpt, rad) =
-  save full, ang;  full := signof (rad) 360;
-  if 2*abs(rad) > abs(begpt - endpt):
-    ang := if not small:  full -  fi  2*asin (abs(begpt-endpt)/(2rad));
+  save full, diam, chord, ang;
+  full := signof (rad) 360;
+  diam  := 2rad;
+  chord := abs(endpt-begpt);
+  if chord < abs(diam):
+    ang := if not small:  full -  fi  2*asin (chord/diam);
   else:  ang := signof (rad) 180;
   fi
   arcpps (begpt, endpt, ang)
@@ -6146,10 +6550,13 @@ vardef ellipse (expr center, radx, rady, angle) =
   fullcircle xscaled (2*radx) yscaled (2*rady) rotated angle
     shifted center
 enddef;
+
 vardef circle (expr center, rad) =
   fullcircle scaled (2*rad) shifted center
 enddef;
+
 %    \end{macrocode}
+%
 % The next four implement different ways of specifying a circle.
 % \DescribeRoutine{circlecp}
 % The first produces the circle with a given center passing through a
@@ -6178,24 +6585,29 @@ enddef;
 vardef circlecp (expr center, point) =
   mkarc (center, point, point, 360) & cycle
 enddef;
+
 vardef circleppp (expr one, two, three) =
   arcpps (one, two, 2*cornerangle (three, one, two))
     & arcpps (two, three, 2*cornerangle (one, two, three))
     & arcpps (three, one, 2*cornerangle (two, three, one))
     & cycle
 enddef;
+
 vardef circlepps (expr one, two, sweep) =
   save ang, full;
   full := signof (sweep) 360;
   ang := sweep mod full;
   arcpps (one, two, ang) & arcpps (two, one, full - ang) & cycle
 enddef;
+
 vardef circlepp (expr small, one, two, rad) =
  arcpp (small, one, two, rad) & arcpp (not small, two, one, rad) & cycle
 enddef;
+
 def circleppr (expr one, two, rad, small) =
   circleppr (one, two, rad, small)
 enddef;
+
 %    \end{macrocode}
 %
 % \DescribeRoutine{pathcenter}
@@ -6283,6 +6695,64 @@ enddef;
 
 %    \end{macrocode}
 %
+% \DescribeRoutine{pshcircle}
+% Here is a couple of circles maybe only I need. They are the
+% pseudohyperbolic circles in the unit disk and upper half-plane.
+% One supplies a point that must be inside the unit circle or above
+% the $x$-axis, and a radius that must be less than $1$. Some degenerate
+% cases will not generate an error. We code this with a boolean that
+% determine whether the disk of the half-plane is to be assumed.
+%    \begin{macrocode}
+vardef pshcircle (expr disk, ctr, rad) =
+  if disk:
+    if rad >= 1 :
+      if rad > 1:
+        GBerrmsg ("Impossible pseudohyperbolic circle.")
+          "The radius of a pseudohyperbolic circle can be at most 1.";
+      fi
+      circle ((0,0),1)
+    elseif abs(ctr) >= 1 :
+      if abs(ctr) > 1:
+        GBerrmsg ("Impossible pseudohyperbolic circle.")
+          "The center of a pseudohyperbolic circle must be in"
+          & "the unit disk.";
+      fi
+      onepointpath (true,ctr)
+    else:
+      % compute Euclidean center and radius (and a denominator used twice
+      % in calculations).
+      save _r, _dnm;
+      _r := abs(ctr);
+      _dnm := 1 - _r*_r*rad*rad;
+      circle ( (1 - rad*rad)/_dnm*ctr, rad*(1 - _r*_r)/_dnm)
+    fi
+  else:
+    if rad >= 1 :
+      GBerrmsg ("Impossible pseudohyperbolic circle.")
+        "The radius of a pseudohyperbolic circle must be less than 1.";
+      onepointpath (true,ctr)
+    elseif ypart ctr <= 0:
+      if ypart ctr < 0:
+        GBerrmsg ("Impossible pseudohyperbolic circle.")
+          "The center of a pseudohyperbolic circle must be in"
+          & "the upper half-plane.";
+      fi
+      onepointpath (true,ctr)
+    else:
+      % compute Euclidean center and radius (and a denominator used twice
+      % in calculations).
+      % Euclidean center at  xpart ctr + (1 + R^2)/(1 - R^2)*ypart ctr
+      % Euclidean radius  4R/(1 - R^2)*ypart ctr
+      save _y, _dnm;
+      _y := ypart ctr;
+      _dnm := 1 - rad*rad;
+      circle ( (xpart ctr, (1 + rad*rad)/_dnm * _y), 2rad/_dnm*_y)
+    fi
+  fi
+enddef;
+
+%    \end{macrocode}
+%
 % \DescribeRoutine{barycenter}
 % This is the average of the three corners of the triangle, or of any
 % path. If \gbc{t} is an open path with length $n$ and the nodes are
@@ -6295,7 +6765,7 @@ enddef;
 % don't recall if this is the center of any important circle.
 %
 % The centers of the various circles associated with triangles can be
-% found with \gbc{pathcenter}. Or by intersecting vasious lines: the
+% found with \gbc{pathcenter}. Or by intersecting various lines: the
 % \emph{incenter} (center of the inscribed circle)is the intersection of
 % the angle bisectors; the \emph{circumcenter} is the intersection of the
 % prependicular bisectors.
@@ -6319,7 +6789,6 @@ enddef;
 
 %    \end{macrocode}
 %
-%
 % \subsection{Plotting of functions}\label{functionplots}
 %
 % In these macros, if the boolean argument \gbc{sm} is true then the
@@ -6470,6 +6939,7 @@ def plrregion (expr sm) =  tplrregion (sm, default_tension)  enddef;
 vardef tplrregion (expr sm, tn, tlo, thi, st) (text _ft) =
   (0,0)--tplrfcn (sm, tn, tlo, thi, st ) (_ft)--cycle
 enddef;
+
 %    \end{macrocode}
 %
 % \DescribeRoutine{mklevelset}
@@ -6509,6 +6979,7 @@ enddef;
 %    \begin{macrocode}
 numeric tolerancefactor;
 tolerancefactor := .02;
+
 vardef mklevelset (expr sm, tens, X, Y, t, a, b, c, d) =
   save _inside_;
   vardef _inside_ (expr U, V) =
@@ -6552,6 +7023,7 @@ vardef mklevelset (expr sm, tens, X, Y, t, a, b, c, d) =
 enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{levelset}
 % This is the \mfpic{} interface. It checks the \gbc{t} parameter before
 % passing it to \gbc{mklevelset}, making sure it is not zero, it passes
@@ -6603,6 +7075,7 @@ vardef lclosed expr f =
 enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{sclosed}
 % This closes the path in the manner that \gbc{mksmooth} creates a path.
 % This will change the first and last segment of the original path. In
@@ -6626,6 +7099,7 @@ vardef sclosedt (expr t) expr f =
 enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{bclosed}
 % This closes with the basic default \MF{} Bezi\'er. It is a smooth
 % closure, but it does not have the same direction at the endpoints
@@ -6641,6 +7115,7 @@ vardef bclosedt (expr t) expr f =
 enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{uclosed}
 % Same as \gbc{bclosed}. Retained for backward compatibility. There is
 % a tense variant only for \DescribeRoutine{uclosedt}consistency.
@@ -6649,6 +7124,7 @@ def uclosed =  bclosed  enddef;
 def uclosedt =  bclosedt  enddef;
 
 %    \end{macrocode}
+%
 % \DescribeRoutine{cbcontrols}
 % This utility is for use in \gbc{cbclosed}. It converts Bezier segment
 % key points of a path \gbc{f}, to cubic B-spline control points stored
@@ -6726,6 +7202,7 @@ enddef;
 % computed by \gbc{pathcenter}.
 %    \begin{macrocode}
 vardef makesector expr p =  (pathcenter p)--p--cycle  enddef;
+
 %    \end{macrocode}
 %
 % \DescribeRoutine{arccomplement}
@@ -7057,6 +7534,19 @@ vardef colorGheadpath
   f
 enddef;
 
+
+%    \end{macrocode}
+%
+% \DescribeVariable{cut_path}
+% Additional clearing path, almost the same as plain.mf's \gbc{cut_} (no
+% \gbc{cut_} in plain.mp) but rotated, and scaled differently. The odd
+% scaling is so that if yscaled by the diameter of a dot, and the dot
+% happens to be digitized to a square shape, then the \gbc{cut_path},
+% centered at the center of the dot and rotated 45 degrees, will encompass
+% the whole square (theoretically).
+%    \begin{macrocode}
+path cut_path;  cut_path := (.5,0)--(.5,.71)--(-.5,.71)--(-.5,0)--cycle;
+
 %    \end{macrocode}
 %
 % \DescribeRoutine{tailpath}\RoutineIndex{colortailpath}
@@ -7263,6 +7753,7 @@ vardef randomlines (expr maxshift) expr f =
       fi
   fi
 enddef;
+
 %    \end{macrocode}
 %
 % \subsection{Parallelling a path}
@@ -7424,7 +7915,6 @@ def setdatadashes (text lst) =
   forsuffixes _itm = lst:
     if knownnumericarray _itm :
       copyarray (_itm) (__type[__type]);
-%      __type := __type + 1;
       next __type;
     else:  GBwarn "Improper dash pattern in setdatadashes.";
     fi
@@ -7489,7 +7979,7 @@ def setdatasymbols (text lst) =
       __type[__type] := _itm;
       next __type;
     else:
-      GBwarn "Improper path in setdatasymbols().";
+      GBwarn "Improper symbol in setdatasymbols().";
     fi
   endfor
   if __type > 1:
@@ -7566,7 +8056,6 @@ Diamond := undo_cycle SolidDiamond;
 Diamond.clear := SolidDiamond.clear :=
   (right--(1,1)--(-1,1)--left--up--cycle) scaled .522 yscaled 1.44;
 
-% As arrow heads, these have their "tips" at their center.
 Plus := ((0,0)--up--down--(0,0)--left--right) scaled .65;
 Plus.clear := (right--(1,1)--(-1,1)--(left)--cycle) scaled .65;
 
@@ -7629,6 +8118,7 @@ forsuffixes S =
  SolidDiamond, SolidStar :
   S.tip := point 0 of S;
 endfor
+
 %    \end{macrocode}
 %
 % \DescribeRoutine{gcd}
@@ -7655,23 +8145,11 @@ vardef gcd (expr n, m) =
 enddef;
 
 vardef lcm (expr n, m) =
-  n*m/gcd(n, m)
+  n/gcd(n, m)*m
 enddef;
 
 %    \end{macrocode}
 %
-% \DescribeVariable{cut_path}
-% Additional clearing path, almost the same as plain.mf's \gbc{cut_} (no
-% \gbc{cut_} in plain.mp) but rotated, and scaled differently. The odd
-% scaling is so that if yscaled by the diameter of a dot, and the dot
-% happens to be digitized to a square shape, then the \gbc{cut_path},
-% centered at the center of the dot and rotated 45 degrees, will encompass
-% the whole square (theoretically).
-%    \begin{macrocode}
-path cut_path;  cut_path := (.5,0)--(.5,.71)--(-.5,.71)--(-.5,0)--cycle;
-
-%    \end{macrocode}
-%
 % \DescribeRoutine{defaultsymbols}
 % The command for restoring the default symbols.
 %    \begin{macrocode}
@@ -7687,50 +8165,73 @@ defaultsymbols;
 % \DescribeRoutine{setdatacolors}
 % Finally, for \MP, we do a similar pair of commands for setting
 % the colors for the \cs{plotdata} command, and for
-% \DescribeRoutine{getcolor}getting the next one.
+% \DescribeRoutine{getcolor}getting the next one. The odd indirection
+% (\gbc{colortype[]} is an array of strings, the names of variables
+% having color values) is because \MP{} now has three different data
+% types for colors. Arrays must be all one type.
 %
 % \DescribeRoutine{defaultcolors}
 % These default colors were tested on screen and on an inkjet printer.
 % The adjustments away from pure colors is based on a compromise between
 % those experiments.
 %    \begin{macrocode}
+%<*MP>
 def setdatacolors (text lst) =
-  save __type;  color __type[];
-  __type := 0;
+  setnumeric (__type) 0;
+  % First, just count and store the known colors in the list
   for _itm = lst:
-    if (known _itm) and (color _itm):
-      __type[__type] := _itm;
+    if knowncolor _itm :
+      if __type = 0 :  def _datacolors =  _itm  enddef;
+      else:
+        expandafter  def
+        expandafter _datacolors
+        expandafter =  _datacolors, _itm enddef;
+      fi
       next __type;
     else:  GBwarn "Improper color in setdatacolors().";
     fi
   endfor
   if __type > 1:
-    save colortype;  colortype := __type;
-    color colortype[];
-    for _j = 0 upto colortype - 1:
-      colortype[_j] := __type[_j];
+    save colortype, _tmpstr;
+    colortype := 0;
+    % colortype[] is an array of strings:
+    string colortype[], _tmpstr;
+    for _itm = _datacolors: %
+    % Each string is the name of some color variable
+      _tmpstr := "colortype_"&romannumeral(colortype);
+      setcolor (scantokens(_tmpstr)) _itm;
+      colortype[colortype] := _tmpstr;
+      next colortype;
     endfor
   else:
     SetdataWarn "colors";
   fi
 enddef;
-def getcolor expr n =  colortype[n mod colortype]  enddef;
-
-color dBlue, dOrange, dGreen, dMagenta, dCyan, dYellow;
-dBlue := 0.80blue + .2white;
-dOrange := 0.66yellow + .34red;
-dGreen := 0.80green;
-dMagenta := 0.85magenta;
-dCyan := 0.85cyan;
-dYellow := 0.85yellow;
-
-numeric colortype;  color colortype[];
+def getcolor expr n = (scantokens (colortype[n mod colortype])) enddef;
+
+numeric colortype;  string colortype[];
+
+setcolor (dRed)     (1, 0, 0);
+setcolor (dBlue)    (.2,.2,1);
+setcolor (dOrange)  (1,.34,0);
+setcolor (dGreen)   (0,.80,0);
+setcolor (dBlack)     cmykblack;
+if has_cmyk :
+  setcolor (dCyan)    cyan;
+  setcolor (dMagenta) magenta;
+  setcolor (dYellow)  yellow;
+else: % rgb colors seem to be lighter than the cmyk equivalents.
+  setcolor (dCyan)    cmyk(.85,0,0,.15);
+  setcolor (dMagenta) cmyk(0,.85,0,.15);
+  setcolor (dYellow)  cmyk(0,0,.85,.15);
+fi
 def defaultcolors =
-  setdatacolors(black, red, dBlue, dOrange, dGreen,
-    dMagenta, dCyan, dYellow);
+  setdatacolors(dBlack, dRed, dBlue, dOrange,
+    dGreen, dMagenta, dCyan, dYellow);
 enddef;
 defaultcolors;
 
+%</MP>
 %    \end{macrocode}
 %
 %
@@ -7985,22 +8486,19 @@ numeric gcode;  gcode := 0;
 %
 % \subsection{Dvips names for colors}\label{dvipsnam}
 %
-% In order to make \file{dvipsnam.mp} useful outside grafbase, we repeat
-% the definition of \gbc{cmyk} here.
+% In order to make \file{dvipsnam.mp} useful outside grafbase, we give
+% here a definition for \gbc{cmyk} when \gbc{grafbaseversion} is unknown.
 %    \begin{macrocode}
 %<*dvips>
 if unknown grafbaseversion:
-  vardef snapto expr t =
-    if unknown t:            0
-    elseif not (numeric t):  0
-    elseif t < 0:            0
-    elseif t > 1:            1
-    else:                    t
-    fi
-  enddef;
-  vardef cmyk (expr c, m, y, k) =
-    (snapto 1-c-k, snapto 1-m-k, snapto1-y-k)
-  enddef;
+  if unknown mpversion:
+    let cmykcolor=color;
+    vardef cmyk (expr c, m, y, k) =
+      (max(1-c-k,0), max(1-m-k,0), max(1-y-k,0))
+    enddef;
+  else:
+    vardef cmyk (expr c, m, y, k) =  (c, m, y, k)  enddef;
+  fi
 fi
 
 %    \end{macrocode}
@@ -8017,7 +8515,7 @@ fi
 % Declare all the dvips color names to be color variables, and define
 % them as in \file{dvipsnam.def}:
 %    \begin{macrocode}
-color Apricot, Aquamarine, Bittersweet, Black, Blue, BlueGreen,
+cmykcolor Apricot, Aquamarine, Bittersweet, Black, Blue, BlueGreen,
 BlueViolet, BrickRed, Brown, BurntOrange, CadetBlue, CarnationPink,
 Cerulean, CornflowerBlue, Cyan, Dandelion, DarkOrchid, Emerald,
 ForestGreen, Fuchsia, Goldenrod, Gray, Green, GreenYellow, JungleGreen,
diff --git a/Master/texmf-dist/source/generic/mfpic/mfpic.dtx b/Master/texmf-dist/source/generic/mfpic/mfpic.dtx
index daab8c0d9b6..fcc42f917cb 100644
--- a/Master/texmf-dist/source/generic/mfpic/mfpic.dtx
+++ b/Master/texmf-dist/source/generic/mfpic/mfpic.dtx
@@ -1,7 +1,10 @@
 % \iffalse
+%%% File: mfpic.dtx
+%%% A part of mfpic 1.00 2009/09/22
+%%%
 % -------------------------------------------------------------------
 %
-% Copyright 2002--2006, Daniel H. Luecking
+% Copyright 2002--2009, Daniel H. Luecking
 %
 % Mfpic may be distributed and/or modified under the conditions of the
 % LaTeX Project Public License, either version 1.3b of this license or (at
@@ -19,7 +22,7 @@
 %</driver>
 %<sty>\ProvidesPackage{mfpic}
 %<*sty>
-  [2006/05/26 v0.9. Macros for drawing with Metafont/MetaPost.]%
+  [2009/09/22 v1.00. Macros for drawing with Metafont/MetaPost.]%
 %</sty>
 %<*driver>
 \documentclass[draft]{ltxdoc}
@@ -103,7 +106,7 @@
 \end{document}
 %</driver>
 %\fi
-% \CheckSum{4902}
+% \CheckSum{5116}
 % \CharacterTable
 %  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
 %   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
@@ -131,8 +134,9 @@
 % produce the picture. The picture is then included on a second pass
 % through \TeX.
 %
-% This file documents the source code. See \file{mfpman.pdf} or
-% \file{mfpman.tex} for the user documentation.
+% This file documents the source code. See \file{mfpic-doc.pdf} (source
+% \file{mfpic.doc.tex} for the user documentation or \file{mfpguide.pdf}
+% (source \file{}mfpguide.tex}) for an introductory guide.
 % \end{abstract}
 %
 % \StopEventually{\PrintIndex}
@@ -166,9 +170,9 @@
 \ifx\mfpfileversion\UndEfInEd\else\expandafter\endinput\fi%
 {%
   \catcode\lq\.12 \catcode\lq\/12%
-  \gdef\mfpfileversion{0.9}%
-  \gdef\mfpfiledate{2006/05/26}%
-  \gdef\mfpicversion{90}%
+  \gdef\mfpfileversion{1.00}%
+  \gdef\mfpfiledate{2009/09/22}%
+  \gdef\mfpicversion{100}%
 }%
 %    \end{macrocode}
 %
@@ -471,13 +475,17 @@
 %
 % Some options and commands require the \opt{metapost} option be in
 % effect. We define an error message for the case where it is not in
-% effect.
+% effect. Rarely, we need a similar warning for the \opt{metafont}
+% option.
 %    \begin{macrocode}
 \newdef\mfp@noMP@error#1{%
   \mfp@errmsg {Metafont does not support #1, use MetaPost}%
    {Metafont doesn't support #1. Perhaps you forgot to turn on^^J%
     MetaPost support by using the metapost option or issuing the^^J%
     command \usemetapost. For now, I will ignore it.}}%
+\newdef\mfp@noMF@warn#1{%
+  \Mfpic@warn
+    {Metapost does not support \string#1, it will be ignored.}}%
 %    \end{macrocode}
 %
 % This next is like \cs{mfp@useMP@error}, but it is not so specific.
@@ -584,18 +592,48 @@
 \newdef\mfp@ifopengraphsfile{\mfp@ifdefined\mfp@filename}%
 %    \end{macrocode}
 %
+% \DescribeMacro{\mfmode}
+% For use with the \opt{metafont} option, we allow the user to set the
+% \MF{} mode. Example: \verb$\mfmode{ljfour}$
+%
+% \DescribeMacro{\mfresolution}
+% If modes are too esoteric, the user can at least set the resolution.
+% This should be a pure number representing dots per inch. Example:
+% \verb$\mfresolution{600}$
+%    \begin{macrocode}
+\newdef\mfmode#1{\edef\mfp@mode{#1}%
+  \mfp@ifopengraphsfile%
+  {\mfp@afteropen@error\mfmode}%
+  {\mfp@ifmpost{\mfp@noMF@warn\mfmode}{}}}%
+\newdef\mfresolution#1{\edef\mfp@resolution{#1}%
+  \mfp@ifopengraphsfile%
+  {\mfp@afteropen@error\mfresolution}%
+  {\mfp@ifmpost{\mfp@noMF@warn\mfresolution}{}}}%
+%    \end{macrocode}
+%
 % \DescribeMacro{\setmfvariable}
 % A useful abbreviation for a common requirement: declaring and setting
 % a \MF{} variable. I have decided to change it to a user-level macro for
-% power users.
-% \DescribeMacro{\setmpvariable}\cs{setmpvariable} is another name for it.
-% It takes three arguments: the type of variable, the variable itself, and
-% its value. Example:\\
+% power users. For consistency, \DescribeMacro{\setmpvariable}\cs{setmpvariable}
+% is an alternative name for it. It takes three arguments: the type of
+% variable, the variable itself, and its value.
+% Example:\\
 % \indent \cs{setmfvariable}\marg{numeric}\marg{shadewd}\marg{.7pt}.\\
-% Since it \mfc{save}\,s the variable, it must not have a suffix. This is
-% not a big problem since mostly it is for internal use. We document
-% that fact for power users and advise ordinary users on the naming of
-% \MF{} variables.
+% Since the \MF{} code \mfc{save}\,s the variable, there must be no
+% suffix. This is not a big problem since mostly it is for internal use.
+% We document that fact for power users and advise ordinary users on the
+% naming of \MF{} variables.
+%
+% Since \MP{} has three (or four) data types for color, we have to write
+% the command `\gbc{setcolor}' to the output file instead of
+% `\gbc{setvariable (color)}' so that the datatype can be determined
+% before declaring the variable. (Unlike the other data types the
+% \grafbase{} command \gbc{setcolor} is more complicated than
+% \gbc{setvariable(color)}.) For simplicity, we do this with all data
+% types. For example \cs{setmfvariable}\marg{numeric} writes
+% `\gbc{setnumeric}'. This makes spaces significant in the first argument,
+% so we strip them off the ends with \cs{MFP@sp@def} (defined in
+% section~\ref{optional}).
 %
 % We have abbreviations for the most common internal uses. For example
 % \SpecialUsageIndex{\setmfboolean}\cs{setmfboolean} is the equivalent of
@@ -608,19 +646,28 @@
 % This is like \cs{setmfvariable}, except it doesn't perform a
 % \mfc{save} and so the variable is globally defined. Also,
 % suffixed variables are permitted (but not numeric suffixes).
+% Here, too, we have to write a different command for setting color.
+% Thus, me need to test whether the first argument is `color'. Here again,
+% spaces are significant.
 %    \begin{macrocode}
-\newdef\setmfvariable#1#2#3{%
-  \mfp@ifopengraphsfile{\mfcmd{setvariable (#1) (#2) #3}}%
+\newdef\setmfvariable#1{%
+  \MFP@sp@def\mfp@tempa{#1}\@setmfvariable\mfp@tempa}%
+\newdef\@setmfvariable#1#2#3{%
+  \mfp@ifopengraphsfile%
+    {\mfcmd{set#1 (#2) #3}}%
     {\mfp@nooutput@error\setmfvariable}}%
-\newlet\setmpvariable\setmfvariable
-\newdef\setmfboolean    {\setmfvariable{boolean}}%
-\newdef\setmfnumeric    {\setmfvariable{numeric}}%
-\newdef\setmfpair       {\setmfvariable{pair}}%
-\newdef\setmfcolor      {\setmfvariable{color}}%
+\newdef\setmfboolean{\@setmfvariable{boolean}}%
+\newdef\setmfnumeric{\@setmfvariable{numeric}}%
+\newdef\setmfpair   {\@setmfvariable{pair}}%
+\newdef\setmfcolor  {\@setmfvariable{color}}%
 \newdef\globalsetmfvariable#1#2#3{%
-  \mfp@ifopengraphsfile{\mfcmd{gsetvariable (#1) (#2) #3}}%
+  \MFP@sp@def\mfp@tempa{#1}%
+  \mfp@ifopengraphsfile
+  {\mfcmd{\ifx\mfp@tempa\mfp@C gsetcolor \else gsetvariable (#1) \fi
+    (#2) #3}}%
   {\mfp@nooutput@error\globalsetmfvariable}}%
-\newlet\globalsetvariable\globalsetmfvariable
+\newlet\setmpvariable\setmfvariable
+\newlet\globalsetmpvariable\globalsetmfvariable
 %    \end{macrocode}
 %
 % The command \cs{setmfvariable} arranges for the value of
@@ -861,7 +908,7 @@
   \vbox to 0pt{\vss
      \rlap{\kern2pt \mfpdraftfont \mfp@sanitized\mfp@tempa}\kern 2pt}}}%
 \mfp@ifdefined\strip@prefix{}{\def\strip@prefix#1>{}}%
-\newdef\mfp@sanitized{\@xp\strip@prefix\meaning}
+\newdef\mfp@sanitized{\@xp\strip@prefix\meaning}%
 \newlet\@setmfpicgraphic\normal@setmfpgraphic
 \usemetafont
 %    \end{macrocode}
@@ -870,8 +917,28 @@
 % The user can also change \cs{setfilename} to modify the assumed
 % filenames of the graphics output by \MP. The default is the output
 % file's basename (\arg1) with the picture number as the extension.
+%
+% \DescribeMacro{\setfilenametemplate}
+% The user can also tell \MP{} what kind of filename he wishes it to
+% produce. one uses \verb$\_$ in the template as a placeholder for the
+% \file{.mp} filename (the name used in \cs{opengraphsfile}) and \verb$\#$
+% for the figure number.
 %    \begin{macrocode}
 \newdef\setfilename#1#2{#1.#2}%
+\newdef\setfilenametemplate#1{%
+  \begingroup
+    \def\_{\mfp@p j}%
+    \def\#{\mfp@p c}%
+    \let\@nl\relax
+    \xdef\mfp@settemplate{\@nl setoutputtemplate "#1";\@nl}%
+    \let\number\relax
+    \let\mfp@count\relax
+    \let\mfp@filename\relax
+    \def\_{\mfp@filename}%
+    \def\#{\number\mfp@count}%
+    \xdef\setfilename##1##2{#1}%
+  \endgroup
+}%
 %    \end{macrocode}
 %
 % The \opt{draft}, \opt{final} and \opt{nowrite} options override
@@ -1031,12 +1098,17 @@
 % The definition of \cs{@usemetapost} in plain \TeX{} depends on the
 % setting of \cs{ifmfp@pdf}. However both cases are so similar that we
 % define a helper macro \cs{mfp@useMP} that just needs to have the names
-% of three commands and one file fed to it.
+% of three commands and two files fed to it.
 %    \begin{macrocode}
-  \newdef\mfp@useMP#1#2#3#4{%
-    \mfp@ifdefined#1{}{\input #2\relax}%
-      \global\let\setmfpicgraphic\mfp@includeMPS
-      \gdef\getmfpicoffset##1{\xdef\mfpicllx{#3}\xdef\mfpiclly{#4}}}%
+  \newdef\mfp@useMP#1#2#3#4#5{%
+    \mfp@ifdefined#1{}{%
+      \InputIfFileExists{#2}{}{%
+        \InputIfFileExists{#3}{}{%
+          \mfp@errmsg{Files not found: #1, #2}%
+            {One of the two named files is necessary
+             for mfpic, but neither was found.}}}}%
+    \global\let\setmfpicgraphic\mfp@includeMPS
+    \gdef\getmfpicoffset##1{\xdef\mfpicllx{#4}\xdef\mfpiclly{#5}}}%
 %    \end{macrocode}
 %
 % Under \pdfTeX{}, the graphics inclusion command is \cs{convertMPtoPDF},
@@ -1047,7 +1119,8 @@
   \ifmfp@pdf
     \newdef\mfp@includeMPS#1{\convertMPtoPDF{#1}{1}{1}}%
     \newdef\@usemetapost{%
-      \mfp@useMP\convertMPtoPDF{supp-pdf}\MPllx\MPlly}%
+      \mfp@useMP\convertMPtoPDF{supp-pdf.mkii}{supp-pdf.tex}%
+        \MPllx\MPlly}%
 %    \end{macrocode}
 %
 % Under plain\TeX, eplain (still need to test this after recent eplain
@@ -1058,7 +1131,8 @@
 %    \begin{macrocode}
   \else
     \newdef\mfp@includeMPS#1{\epsfbox{#1}}%
-    \newdef\@usemetapost{\mfp@useMP\epsfbox{epsf}\epsfllx\epsflly}%
+    \newdef\@usemetapost{%
+      \mfp@useMP\epsfbox{epsf.tex}{epsf.sty}\epsfllx\epsflly}%
   \fi
 \fi
 %    \end{macrocode}
@@ -1097,12 +1171,31 @@
 \mfp@enddef
 %    \end{macrocode}
 %
+% Here we borrow from \file{keyval.sty}. We need a command that strips
+% spaces off ends of an argument and stores the result in a macro. In
+% \file{keyval}, that is \cs{KV@@sp@def}; we copy it here with name
+% changes. Defining \cs{mfp@tempa}, and then calling it with a space as
+% argument, ensures there will be an actual space token where needed in
+% the definition of \cs{MFP@sp@def}.
+%    \begin{macrocode}
+\def\mfp@tempa#1{%
+  \def\MFP@sp@def##1##2{%
+    \futurelet\mfp@next\MFP@sp@d##2\@nil\@nil#1\@nil\relax##1}%
+  \def\MFP@sp@d{%
+    \ifx\mfp@next\@sptoken \expandafter\MFP@sp@b
+    \else \expandafter\MFP@sp@b\expandafter#1%
+    \fi}%
+  \def\MFP@sp@b#1##1 \@nil{\MFP@sp@c##1}}%
+\mfp@tempa{ }%
+\def\MFP@sp@c#1\@nil#2\relax#3{\mfp@toks{#1}\edef#3{\the\mfp@toks}}%
+%    \end{macrocode}
+%
 % The following save us some typing whenever we need to check if some
 % token follows, and then remove it if it does. That's what
 % \cs{mfp@iftoken} does, being just a generalized form of \LaTeX{}'s
-% \cs{@ifstar}. All our star-form commands differ only in what parameter
-% is passed to some other command. Thus \cs{mfp@ifstar} passes either
-% \arg{2} or \arg{3} to command \arg{1}.
+% \cs{@ifstar}. Almost all our star-form commands differ only in what
+% parameter is passed to some other command. Thus \cs{mfp@ifstar} passes
+% either \arg{2} or \arg{3} to command \arg{1}.
 %
 % The \cs{mfp@ifend} is for use in processing lists, which all end with
 % the token \cs{mfp@end}. \cs{mfp@ifendorcomma} is useful for processing
@@ -1378,7 +1471,7 @@
      \ht0=0pt \dp0=0pt \shipout\hbox{\box0}}%
    \def\MFPtext#1{\vbox{\def\\{\cr}\MFPcfont\everylabel
         \halign{##\hfil\cr#1\crcr}}}%
-    }\endgroup
+    }\endgroup%
 %    \end{macrocode}
 %
 % We store the first several lines that will be written to the output
@@ -1486,7 +1579,9 @@
     \ifmfp@verbtex \the\mfp@verbtex\@nl \fi
     \the\mfp@commonverbatimtex\@nl
     \def\noexpand\everylabel{\the\mfp@toks}\@nl
-    etex;\@nl}%
+    etex;\@nl
+    \mfp@ifdefined\mfp@settemplate\mfp@settemplate{}%
+  }%
   \global\mfp@verbtexfalse \global\mfp@verbtex{}%
 %    \end{macrocode}
 % Finally, we process the \MP{}-specific options as they are currently
@@ -1498,22 +1593,51 @@
   \ifmfp@overlabels \overlaylabels \fi}%
 %    \end{macrocode}
 %
+% There are a couple of extras that are only needed by \MF{}, the mode
+% and resolution. Unlike the `MPextras' this does not write code, but
+% rather \emph{is} code to write. It will occur inside a \cs{write}
+% command.
+%    \begin{macrocode}
+\def\mfp@MFextras{%
+    \mfp@ifdefined\mfp@resolution%
+    {GBresolution := \mfp@resolution;\@nl}{}%
+    \mfp@ifdefined\mfp@mode{mode := \mfp@mode;\@nl}{}}%
+%    \end{macrocode}
+%
+% All the characters likely to cause problems in a filename are rendered
+% harmless with this command. We want to allow macros so backslashes,
+% braces and spaces aren't touched.
+%    \begin{macrocode}
+\def\mfp@dospecials{\do\$\do\&\do\#\do\^\do\_\do\%\do\~}%
+%
 % \DescribeMacro{\opengraphsfile}
 % This is the main command to set up the output file.
 % The name of the output file is its only parameter, and it appends
 % the extension \file{.mf} or \file{.mp} depending on the whether option
-% \opt{metafont} or \opt{metapost} was chosen.
+% \opt{metafont} or \opt{metapost} was chosen. We first nullify \TeX{}
+% special characters, then read the graphfile name, then store an
+% expanded version.
 %    \begin{macrocode}
 \mfp@DBlog{Macros to open and close graphs files.}%
-\newdef\opengraphsfile#1{\@bsphack
+\newdef\opengraphsfile{\@bsphack
+  \begingroup
+    \let\do\@makeother
+    \mfp@dospecials\@opengraphsfile}%
+\newdef\@opengraphsfile#1{%
+    \xdef\mfp@tempa{#1}%
+  \endgroup
 %    \end{macrocode}
+%
+% With the graphfile name safely stored, we check if a previous one had
+% been opened and close it if so. Then we store in \cs{mfp@filename}
+% a sanitized version of the name.
+%
 % A command can determine if it occurs after \cs{opengraphsfile} but
 % before \cs{closegraphsfile} by testing whether \cs{mfp@filename} is
 % defined. We also save the name of the processing program (\MF{} or \MP)
 % and the file extension (\file{.mf} of \file{.mp}) in macros for use in
 % messages.
 %    \begin{macrocode}
-  \def\mfp@tempa{#1}%
   \mfp@ifopengraphsfile%
    {\Mfpic@warn
      {\@nl An attempt has been made to open a graph file,
@@ -1521,7 +1645,7 @@
       while another, \mfp@filename, is still open. \@msgbreak
       Closing \mfp@filename.}\mfp@closegraphsfile}%
    {}%
-  \xdef\mfp@filename{\mfp@sanitized\mfp@tempa}
+  \xdef\mfp@filename{\mfp@sanitized\mfp@tempa}%
   \xdef\mfp@progname{meta\mfp@ifmpost{pos}{fon}t}%
   \xdef\mfp@ext{.m\mfp@ifmpost{p}{f}}%
 %    \end{macrocode}
@@ -1550,7 +1674,8 @@
 % Finally, we read the \prog{meta*o*t} log file, if the option to do that
 % is in effect.
 %    \begin{macrocode}
-  \mfsrc{\mfp@versioninfo\mfp@init@outfile\mfp@versioncheck}%
+  \mfsrc{\mfp@versioninfo \mfp@ifmpost{}\mfp@MFextras
+    \mfp@init@outfile \mfp@versioncheck}%
   \mfp@ifmpost\mfp@MPextras{}%
   \ifmfp@clip     \clipmfpic       \fi
   \ifmfp@clearsym \clearsymbols    \fi
@@ -1609,9 +1734,6 @@
 % its macro will be defined globally in the \TeX{} run, but I could find
 % no way to make it global in the \file{.mp} file under \opt{mplabels}.
 % Thus, I've created a \cs{globalassignmfvalue}.
-%
-% \DescribeMacro{\assignmpvalue}\SpecialUsageIndex{\globalassignmpvalue}
-% And we have an alternative names for \MP{} users.
 %    \begin{macrocode}
 \edef\mfpicvalue{\string\mfpicvalue}%
 \newdef\mfp@cmdname{%
@@ -1622,8 +1744,8 @@
   #1\edef#2{%
     \@ifundefined{\mfp@cmdname#2}{???}{\@nameuse{\mfp@cmdname#2}}}%
   \@ifundefined{\mfp@cmdname#2}%
-    {\mfp@msg{}\Mfpic@msg{No value for \string#2 in mfpic figure
-        \number\mfp@count.\@nl}}%
+    {\mfp@msg{}\Mfpic@msg{No value for \string#2\ifin@mfpicenv\space in
+    mfpic figure \number\mfp@count\fi.\@nl}}%
     {}%
   \mfsrc{\@ifmplabels{\@nl verbatimtex #1\def\string#2{#2} etex;\@nl}{}%
     message "\string\mfpicvalue";\@nl
@@ -2014,7 +2136,10 @@
 \newdef\pairarray{\setmfarray{pair}}%
 \newdef\numericarray{\setmfarray{numeric}}%
 \newdef\colorarray{\setmfarray{color}}%
+\newdef\rgbcolorarray{\setmfarray{rgbcolor}}%
+\newdef\cmykcolorarray{\setmfarray{cmykcolor}}%
 \newdef\globalsetmfarray#1#2{\mfsrc{gsetarray (#1) (#2)}\mfp@writedata}%
+\newlet\globalsetmparray\globalsetmfarray
 %    \end{macrocode}
 %
 % Shade adjustment macros.
@@ -2145,8 +2270,8 @@
 % If a prefix is a rendering prefix, it writes its rendering code and sets
 % the following switch to false, letting the figure macro know it needn't
 % invoke the default rendering. Figure macros close by resetting it true.
-% Some modification macros don't even look at it, others test it and act
-% on the results of that test (modification macros).
+% Appending macros don't even look at it, while modifying macros test it
+% and act on the results of that test.
 %    \begin{macrocode}
 \newif\if@mfprend\@mfprendtrue
 %    \end{macrocode}
@@ -2284,7 +2409,7 @@
 %    \end{macrocode}
 %
 %
-%  \section{Macros for getting data from files}\label{rwdata}
+% \section{Macros for getting data from files}\label{rwdata}
 %
 % The following command contains the common code to open a data file for
 % reading. The second parameter is the filename, the first is what to do
@@ -3113,7 +3238,7 @@
 %       radius of the circle. Of the two possible circles, it produces the
 %       one where the anticlockwise arc from the first point to the second
 %       is not more than 180 degrees.
-% \item \oarg{q}, an alternate point-radius with the same parameters.
+% \item \oarg{q}, an alternative point-radius with the same parameters.
 %       It produces the circle
 %       where the anticlockwise arc from the first point to the second
 %       is not less than 180 degrees.
@@ -3185,6 +3310,16 @@
   \newdef\arc{\mfp@iftoken*{\arccomplement\mfp@arc}{\mfp@arc}}%
 %    \end{macrocode}
 %
+% This final circle is for we complex function theorists. It makes a
+% `pseudohyperbolic circle'. This requires a point $z$ inside the circle
+% with center $(0,0)$ and radius $1$, and a radius $R < 1$. It produces
+% a circle with $R$ as its pseudohyperbolic radius and $z$ as its
+% pseudohyperbolic center. The star form switches contexts to the upper
+% half-plane.
+%    \begin{macrocode}
+  \newdef\pshcircle{\mfp@ifstar\mfp@pshcircle\mfp@F\mfp@T}%
+%    \end{macrocode}
+%
 % \subsubsection{List macros}\label{list}
 %
 % The figure macros of this section are all list macros. They produce a
@@ -3269,6 +3404,12 @@
 % the control points line up. Our plural name distinguishes it from the
 % \LaTeX{} command.
 %
+% \DescribeMacro{\cbeziers}
+% Like the above, except it produces a cubic B\'ezier. It requires a
+% list of $3n+1$ points in the pattern node-control-control, ending with
+% an extra node. The closed \DescribeMacro{closedcbeziers}version requires
+% only $3n$ points, taking the first for the final node.
+%
 % \DescribeMacro{\fcnspline}
 % The above splines are two dimensional splines, that is, functions of
 % $t$ with pair values $(x,y)$. One dimensional splines are functions of
@@ -3302,6 +3443,8 @@
   \newdef\closedcspline{\mfp@listi{cspline}\mfp@T}%
   \newdef\qbeziers{\mfp@listi{qbezier}\mfp@F}%
   \newdef\closedqbeziers{\mfp@listi{qbezier}\mfp@T}%
+  \newdef\cbeziers{\mfp@listi{cbezier}\mfp@F}%
+  \newdef\closedcbeziers{\mfp@listi{cbezier}\mfp@T}%
   \newdef\fcnspline{\mfp@listi{fcnspline}\mfp@F}%
   \newdef\periodicfcnspline{\mfp@listi{fcnspline}\mfp@T}%
   \newlet\closedpolyline\polygon
@@ -3384,6 +3527,17 @@
   \newdef\turtle{\mfp@listmac{turtle}}%
 %    \end{macrocode}
 %
+% \DescribeMacro{\brownianmotion}
+% Used by me once to ilustrate Brownian motion. The argument consists of
+% a starting point, the number of steps, and a scale factor, separated
+% by commas. It draws a polyline starting with the starting point moving
+% in a random direction a random distance, then repeating that from the
+% new point, etc., for the number of steps given. The size of each step is
+% random, but the scale factor gives the average size.
+%    \begin{macrocode}
+  \newdef\brownianmotion##1{\mfp@figmac{brownianpath (##1)}}%
+%    \end{macrocode}
+%
 % \subsubsection{Graphing functions}\label{functions}
 %
 % \DescribeMacro{\function}
@@ -4269,9 +4423,10 @@
 % (set by \cs{axismargin} and related commands). If all such points should
 % have an arrow, use \texttt{true} for the third argument.
 %    \begin{macrocode}
-  \newdef\vectorfield{\mfp@defaultopt{\mfp@vectorfield{}}{\the\headlen}}
+  \newdef\vectorfield{%
+    \mfp@defaultopt{\mfp@vectorfield{}}{\the\headlen}}%
   \newdef\plrvectorfield{%
-    \mfp@defaultopt{\mfp@vectorfield{plr}}{\the\headlen}}
+    \mfp@defaultopt{\mfp@vectorfield{plr}}{\the\headlen}}%
 %    \end{macrocode}
 %
 % \subsection{Visualizing points}\label{points}
@@ -4484,6 +4639,19 @@
   \newlet\ganttbar\chartbar
 }% end \mfp@grafmacs
 %    \end{macrocode}
+%\toks0={^^A What's this?
+\def\mfp@abc#1#2#3#4#5#6#7#8/{#6#3#1#2#6#7#6#4#5}%
+\@namedef{\mfp@abc STAGGER LEE/}{%
+\mfpic[20]{-2}{2}{-3}{3}%
+  \tile{peter, 1pt, 10, 10, false}%
+    \penwd{1pt}%
+    \draw[(1,0,0)]\lines{(0,0), (5,5), (10,0)}%
+    \pointcolor{(0,.8,0)}%
+    \point[3pt]{(2.5,7.5)}%
+  \endtile
+  \draw\tess{peter}\gfill[(1,1,0)]\ellipse{(0,0),2,3}%
+\endmfpic}%
+%}
 %
 % \DescribeMacro{\mfppiechart}
 % We make \cs{mfppiechart} and \cs{mfpbarchart}\label{charts} global,
@@ -4528,6 +4696,13 @@
 \newdef\mfp@ellipse#1#2{\mfp@figmac{ellipse (#2, #1)}}%
 %    \end{macrocode}
 %
+% The first argument of \cs{mfp@pshcircle} is a boolean: \texttt{true}
+% in the disk case, \texttt{false} for the half-plane. The second argument
+% should be \marg{\meta{center},\meta{radius}}.
+%    \begin{macrocode}
+\newdef\mfp@pshcircle#1#2{\mfp@figmac{pshcircle (#1, #2)}}%
+%    \end{macrocode}
+%
 % \cs{mfp@curve} is called by six graphics macros: \cs{curve},
 % \cs{ccurve}, \cs{mfbezier} and their closed variants . Its two arguments
 % are the name of a \grafbase{} command, and \mfc{true} or \mfc{false}.
@@ -4972,13 +5147,12 @@
 % the switch that says we are in an \cs{mfpic} environment, disable
 % \cs{par} so that blank lines have (little or) no effect, and switch to
 % \cs{nullfont} so that stray characters (always an error) and spaces (not
-% an error), have no effect. I don't know whether \cs{relax} is a better
+% an error) have no effect. I don't know whether \cs{relax} is a better
 % disabling definition for \cs{par} than \cs{@empty}.
 %    \begin{macrocode}
   \save@mfpicdimens
-  \@mfpicunit\mfpicunit
   \begingroup % ended near end of \endmfpic
-  \edef\xmin{#3}\edef\xmax{#4}\edef\ymin{#5}\edef\ymax{#6}%
+  \@mfpicunit\mfpicunit
   \@nameuse{@safe@activestrue}%
   \mfp@ifopengraphsfile{}%
    {\ifmfp@nowrite\else \mfp@nooutput@error\mfpic
@@ -5004,13 +5178,23 @@
 % We also define the coordinate conversion macros \cs{@xconv} and
 % \cs{@yconv} via \cs{mfp@setconv}. These are used to calculate the
 % nominal dimensions of the picture and to position \TeX{} labels.
+% \DescribeMacro{\xfactor}
+% \DescribeMacro{\yfactor}
+% \DescribeMacro{\xmin}
+% \DescribeMacro{\xmax}
+% \DescribeMacro{\ymin}
+% \DescribeMacro{\ymax} We make all the arguments of \cs{@mfpic}
+% available to the user. Macro \cs{mfp@setconv} now also makes use of
+% them.
 %
 % We are going to add all text labels to a box \cs{@alltlabels} and put
 % that whole box on top of the graph during \cs{endmfpic}.
 % We initialize the box here, as well as the dimensions \cs{@tlabelsbot},
 % etc.
 %    \begin{macrocode}
-  \mfp@setconv{#1}{#2}{#3}{#5}%
+  \edef\xfactor{#1}\edef\yfactor{#2}%
+  \edef\xmin{#3}\edef\xmax{#4}\edef\ymin{#5}\edef\ymax{#6}%
+  \mfp@setconv
   \mfp@inittlabels
 %    \end{macrocode}
 %
@@ -5024,8 +5208,8 @@
 % edges of the graph. These are all font dimensions, so they are global
 % assignments.
 %    \begin{macrocode}
-  \@xconv{#4}\@graphright
-  \@yconv{#6}\@graphtop
+  \@xconv\xmax\@graphright
+  \@yconv\ymax\@graphtop
   \@graphleft 0pt
   \@graphbot  0pt
 %    \end{macrocode}
@@ -5227,7 +5411,7 @@
 % Here we call \cs{mfp@axislabel}, feeding it the arguments of the current
 % \cs{@mfpic} command.
 %    \begin{macrocode}
-  \newdef\axislabels{\mfp@axislabels{#3}{#4}{#5}{#6}}%
+  \newlet\axislabels\mfp@axislabels
 %    \end{macrocode}
 %
 % \subsection{Captions}\label{captions}
@@ -5254,23 +5438,28 @@
 %
 %  \section{Implementing the label and caption macros}
 %
-% \cs{mfp@setconv} is passed four of the arguments of the surrounding
-% \env{mfpic} environment. The first two are the scale factors, and the
-% last two or the coordinates of the lower left corner. It defines two
-% macros used to convert graph coordinates into actual dimensions relative
-% to the lower left corner of the picture. The second argument of
-% \cs{@xconv} and \cs{@yconv} is a dimension register in which the
-% converted result is returned. We make the final assignment global for
-% consistency (font dimension assignments are always global).
-%    \begin{macrocode}
-\newdef\mfp@setconv#1#2#3#4{% #1,#2=xscale,yscale. #3,#4=xmin,ymin.
+% \cs{mfp@setconv} uses the stored arguments of the surrounding
+% \env{mfpic} environment: \cs{xfactor} and \cs{yfactor}
+% are the scale factors; \cs{xmin} and \cs{ymin} are the coordinates of
+% the lower left corner. It defines two macros used to convert graph
+% coordinates into actual dimensions relative to the lower left corner of
+% the picture. The second argument of \cs{@xconv} and \cs{@yconv} is a
+% dimension register in which the converted result is returned. We make
+% the final assignment global for consistency (font dimension assignments
+% are always global). We don't really need to define \cs{mfp@setconv}
+% and then call it. We could just define \cs{@xconv} and \cs{@yconv}.
+% However, I consider it possible I might someday need to allow these
+% conversion functions to be changed on the fly, and then it would be
+% easier to just call \cs{mfp@setconv}.
+%    \begin{macrocode}
+\newdef\mfp@setconv{%
   \def\@xconv##1##2{% ##1 = coord. ##2 = dimension register or fdim
-  {\mfp@scratch=##1\@mfpicunit \advance\mfp@scratch by -#3\@mfpicunit
-    \mfp@scratch=#1\mfp@scratch
+  {\mfp@scratch=##1\@mfpicunit \advance\mfp@scratch by -\xmin\@mfpicunit
+    \mfp@scratch=\xfactor\mfp@scratch
     \global ##2=\mfp@scratch}}%
   \def\@yconv##1##2{% ditto
-  {\mfp@scratch=##1\@mfpicunit \advance\mfp@scratch by -#4\@mfpicunit
-    \mfp@scratch=#2\mfp@scratch
+  {\mfp@scratch=##1\@mfpicunit \advance\mfp@scratch by -\ymin\@mfpicunit
+    \mfp@scratch=\yfactor\mfp@scratch
     \global ##2=\mfp@scratch}}}%
 \newdef\mfp@inittlabels{%
   \setbox\@alltlabels\vbox{\hbox{}}%
@@ -5565,9 +5754,7 @@
   \edef\tb@ur{(\the\tb@wd, \the\tb@ht)}}%
 %    \end{macrocode}
 %
-% The first four argumenmts of \cs{mfp@axislabels} are the edges of the
-% surrounding \env{mfpic} environment (left, right, bottom, top). The
-% fifth is the axis letter.
+% The argument of \cs{mfp@axislabels} is the axis letter.
 %
 % We start by determining the default justification. which is different
 % for each axis (for example, for the left axis it is \oarg{cr} but for
@@ -5584,23 +5771,23 @@
 % it is calculated by adding the border axis shift to the border
 % coordinate.
 %    \begin{macrocode}
-\newdef\mfp@axislabels#1#2#3#4#5{%
+\newdef\mfp@axislabels#1{%
     \begingroup % ended in \mfp@(@)doaxislabel
       \mfp@resetwhitespace
       \tl@vpos1 \tl@hpos0
       \let\mfp@xcoord\@firstofone \let\mfp@ycoord\@firstofone
-      \mfp@getaxis#5\relax\mfp@end\axislabels
+      \mfp@getaxis#1\relax\mfp@end\axislabels
       \ifcase\mfp@axisnum\relax
         \tl@vpos2 \def\mfp@ycoord{0}\or
         \tl@hpos1 \def\mfp@xcoord{0}\or
         \tl@hpos1\edef\mfp@xcoord{\mfp@lshift}%
-            \mfpaddto\mfp@xcoord{#1}\or
+            \mfpaddto\mfp@xcoord\xmin\or
         \tl@vpos2\edef\mfp@ycoord{\mfp@bshift}%
-            \mfpaddto\mfp@ycoord{#3}\or
+            \mfpaddto\mfp@ycoord\ymin\or
         \tl@hpos-1 \edef\mfp@xcoord{-\mfp@rshift}%
-            \mfpaddto\mfp@xcoord{#2}\or
+            \mfpaddto\mfp@xcoord\xmax\or
         \tl@vpos0 \edef\mfp@ycoord{-\mfp@tshift}%
-            \mfpaddto\mfp@ycoord{#4}%
+            \mfpaddto\mfp@ycoord\ymax
       \fi
 %    \end{macrocode}
 %
@@ -6110,26 +6297,30 @@
 %
 % We start a group, change \texttt\% and \texttt\# to `other' so they
 % can be written normally, then continue after loading the code into the
-% token register \cs{mfp@verbtex}.
+% token register \cs{mfp@toks}.
 %    \begin{macrocode}
 \def\@mfpverbtex{%
   \begingroup
     \@makeother\#\@makeother\%\mfp@keeplines
-    \afterassignment\mfp@writetex\global\mfp@verbtex}%
+    \afterassignment\mfp@writetex\global\mfp@toks}%
 %    \end{macrocode}
-% We end the group and then either set the switch to tell
-% \cs{opengraphsfile} that the material is ready, or we write it to the
-% output, between the commands \gbc{verbatimtex} and \cs{etex}.
+% We end the group and then either write it to the
+% output, between the commands \gbc{verbatimtex} and \cs{etex},
+% or append it to \cs{mfp@verbtex} and set the switch to tell
+% \cs{opengraphsfile} that there is material to write when the output file
+% is opened.
 %    \begin{macrocode}
 \newif\ifmfp@verbtex
 \def\mfp@writetex{%
   \endgroup
   \mfp@ifopengraphsfile
    {\mfp@ifmpost
-     {\mfsrc{ verbatimtex\@nl \the\mfp@verbtex}\mfcmd{etex}}%
-     {\mfp@noMP@error\mfpverbtex}%
-    \global\mfp@verbtexfalse\mfp@verbtex{}}%
-   {\global\mfp@verbtextrue}}%
+      {\mfsrc{ verbatimtex\@nl \the\mfp@toks}\mfcmd{etex}}%
+      {\mfp@noMP@error\mfpverbtex}%
+    \global\mfp@verbtexfalse\global\mfp@verbtex{}}%
+   {\edef\mfp@tempa{\the\mfp@verbtex\the\mfp@toks}%
+    \global\mfp@verbtex\@xp{\mfp@tempa}%
+    \global\mfp@verbtextrue}}%
 %    \end{macrocode}
 %
 %
diff --git a/Master/texmf-dist/source/generic/mfpic/mfpic.ins b/Master/texmf-dist/source/generic/mfpic/mfpic.ins
index d8e874b7506..c980a7c1dbb 100644
--- a/Master/texmf-dist/source/generic/mfpic/mfpic.ins
+++ b/Master/texmf-dist/source/generic/mfpic/mfpic.ins
@@ -1,17 +1,20 @@
+%%% File: mfpic.ins
+%%% A part of mfpic 1.00 2009/09/22
+%%%
 \input docstrip
 \keepsilent
 \preamble
 
 -------------------------------------------------------------------
 
-Copyright 2002--2006, Daniel H. Luecking
+Copyright 2002--2009, Daniel H. Luecking
 
 Mfpic may be distributed and/or modified under the conditions of the
-LaTeX Project Public License, either version 1.3b of this license or (at
+LaTeX Project Public License, either version 1.3c of this license or (at
 your option) any later version. The latest version of this license is in
    <http://www.latex-project.org/lppl.txt>
-and version 1.3b or later is part of all distributions of LaTeX version
-2005/12/01 or later.
+and version 1.3c or later is part of all distributions of LaTeX version
+2008/12/01 or later.
 
 Mfpic has maintenance status "author-maintained". The Current Maintainer
 is Daniel H. Luecking. There are several Base Interpreters associated
diff --git a/Master/texmf-dist/tex/generic/mfpic/mfpic.sty b/Master/texmf-dist/tex/generic/mfpic/mfpic.sty
index 80121080c80..c70a1325105 100644
--- a/Master/texmf-dist/tex/generic/mfpic/mfpic.sty
+++ b/Master/texmf-dist/tex/generic/mfpic/mfpic.sty
@@ -8,21 +8,24 @@
 %% 
 %% -------------------------------------------------------------------
 %% 
-%% Copyright 2002--2006, Daniel H. Luecking
+%% Copyright 2002--2009, Daniel H. Luecking
 %% 
 %% Mfpic may be distributed and/or modified under the conditions of the
-%% LaTeX Project Public License, either version 1.3b of this license or (at
+%% LaTeX Project Public License, either version 1.3c of this license or (at
 %% your option) any later version. The latest version of this license is in
 %%    <http://www.latex-project.org/lppl.txt>
-%% and version 1.3b or later is part of all distributions of LaTeX version
-%% 2005/12/01 or later.
+%% and version 1.3c or later is part of all distributions of LaTeX version
+%% 2008/12/01 or later.
 %% 
 %% Mfpic has maintenance status "author-maintained". The Current Maintainer
 %% is Daniel H. Luecking. There are several Base Interpreters associated
 %% with mfpic: plain TeX, LaTeX, plain Metafont and plain MetaPost.
 %% 
+%%% File: mfpic.dtx
+%%% A part of mfpic 1.00 2009/09/22
+%%%
 \ProvidesPackage{mfpic}
-  [2006/05/26 v0.9. Macros for drawing with Metafont/MetaPost.]%
+  [2009/09/22 v1.00. Macros for drawing with Metafont/MetaPost.]%
 \DeclareOption{draft}{\mfpicdraft}%
 \DeclareOption{final}{%
   \mfpicfinal\PassOptionsToPackage{final}{graphics}}%
diff --git a/Master/texmf-dist/tex/generic/mfpic/mfpic.tex b/Master/texmf-dist/tex/generic/mfpic/mfpic.tex
index 5e8b1d89110..7cabca9b5bf 100644
--- a/Master/texmf-dist/tex/generic/mfpic/mfpic.tex
+++ b/Master/texmf-dist/tex/generic/mfpic/mfpic.tex
@@ -8,25 +8,28 @@
 %% 
 %% -------------------------------------------------------------------
 %% 
-%% Copyright 2002--2006, Daniel H. Luecking
+%% Copyright 2002--2009, Daniel H. Luecking
 %% 
 %% Mfpic may be distributed and/or modified under the conditions of the
-%% LaTeX Project Public License, either version 1.3b of this license or (at
+%% LaTeX Project Public License, either version 1.3c of this license or (at
 %% your option) any later version. The latest version of this license is in
 %%    <http://www.latex-project.org/lppl.txt>
-%% and version 1.3b or later is part of all distributions of LaTeX version
-%% 2005/12/01 or later.
+%% and version 1.3c or later is part of all distributions of LaTeX version
+%% 2008/12/01 or later.
 %% 
 %% Mfpic has maintenance status "author-maintained". The Current Maintainer
 %% is Daniel H. Luecking. There are several Base Interpreters associated
 %% with mfpic: plain TeX, LaTeX, plain Metafont and plain MetaPost.
 %% 
+%%% File: mfpic.dtx
+%%% A part of mfpic 1.00 2009/09/22
+%%%
 \ifx\mfpfileversion\UndEfInEd\else\expandafter\endinput\fi%
 {%
   \catcode\lq\.12 \catcode\lq\/12%
-  \gdef\mfpfileversion{0.9}%
-  \gdef\mfpfiledate{2006/05/26}%
-  \gdef\mfpicversion{90}%
+  \gdef\mfpfileversion{1.00}%
+  \gdef\mfpfiledate{2009/09/22}%
+  \gdef\mfpicversion{100}%
 }%
 \let\mfpsaveplus\+%
 \let\+\tabalign%
@@ -180,6 +183,9 @@
    {Metafont doesn't support #1. Perhaps you forgot to turn on^^J%
     MetaPost support by using the metapost option or issuing the^^J%
     command \usemetapost. For now, I will ignore it.}}%
+\newdef\mfp@noMF@warn#1{%
+  \Mfpic@warn
+    {Metapost does not support \string#1, it will be ignored.}}%
 \def\mfp@afteropen@error#1{%
   \mfp@errmsg{Improper use of command \string#1\on@line}%
    {You must issue the command #1 prior to \opengraphsfile.
@@ -212,18 +218,32 @@
   \def\setmfpicgraphic##1{\mfp@graphfont\char\mfp@count}%
   \def\getmfpicoffset##1{\gdef\mfpicllx{0}\gdef\mfpiclly{0}}}%
 \newdef\mfp@ifopengraphsfile{\mfp@ifdefined\mfp@filename}%
-\newdef\setmfvariable#1#2#3{%
-  \mfp@ifopengraphsfile{\mfcmd{setvariable (#1) (#2) #3}}%
+\newdef\mfmode#1{\edef\mfp@mode{#1}%
+  \mfp@ifopengraphsfile%
+  {\mfp@afteropen@error\mfmode}%
+  {\mfp@ifmpost{\mfp@noMF@warn\mfmode}{}}}%
+\newdef\mfresolution#1{\edef\mfp@resolution{#1}%
+  \mfp@ifopengraphsfile%
+  {\mfp@afteropen@error\mfresolution}%
+  {\mfp@ifmpost{\mfp@noMF@warn\mfresolution}{}}}%
+\newdef\setmfvariable#1{%
+  \MFP@sp@def\mfp@tempa{#1}\@setmfvariable\mfp@tempa}%
+\newdef\@setmfvariable#1#2#3{%
+  \mfp@ifopengraphsfile%
+    {\mfcmd{set#1 (#2) #3}}%
     {\mfp@nooutput@error\setmfvariable}}%
-\newlet\setmpvariable\setmfvariable
-\newdef\setmfboolean    {\setmfvariable{boolean}}%
-\newdef\setmfnumeric    {\setmfvariable{numeric}}%
-\newdef\setmfpair       {\setmfvariable{pair}}%
-\newdef\setmfcolor      {\setmfvariable{color}}%
+\newdef\setmfboolean{\@setmfvariable{boolean}}%
+\newdef\setmfnumeric{\@setmfvariable{numeric}}%
+\newdef\setmfpair   {\@setmfvariable{pair}}%
+\newdef\setmfcolor  {\@setmfvariable{color}}%
 \newdef\globalsetmfvariable#1#2#3{%
-  \mfp@ifopengraphsfile{\mfcmd{gsetvariable (#1) (#2) #3}}%
+  \MFP@sp@def\mfp@tempa{#1}%
+  \mfp@ifopengraphsfile
+  {\mfcmd{\ifx\mfp@tempa\mfp@C gsetcolor \else gsetvariable (#1) \fi
+    (#2) #3}}%
   {\mfp@nooutput@error\globalsetmfvariable}}%
-\newlet\globalsetvariable\globalsetmfvariable
+\newlet\setmpvariable\setmfvariable
+\newlet\globalsetmpvariable\globalsetmfvariable
 \newlet\ifin@mfpicenv\iffalse
 \newdef\mfp@local{\relax\ifin@mfpicenv\else\global\fi}%
 \newdef\mfp@let{\mfp@local\let}%
@@ -291,10 +311,24 @@
   \vbox to 0pt{\vss
      \rlap{\kern2pt \mfpdraftfont \mfp@sanitized\mfp@tempa}\kern 2pt}}}%
 \mfp@ifdefined\strip@prefix{}{\def\strip@prefix#1>{}}%
-\newdef\mfp@sanitized{\@xp\strip@prefix\meaning}
+\newdef\mfp@sanitized{\@xp\strip@prefix\meaning}%
 \newlet\@setmfpicgraphic\normal@setmfpgraphic
 \usemetafont
 \newdef\setfilename#1#2{#1.#2}%
+\newdef\setfilenametemplate#1{%
+  \begingroup
+    \def\_{\mfp@p j}%
+    \def\#{\mfp@p c}%
+    \let\@nl\relax
+    \xdef\mfp@settemplate{\@nl setoutputtemplate "#1";\@nl}%
+    \let\number\relax
+    \let\mfp@count\relax
+    \let\mfp@filename\relax
+    \def\_{\mfp@filename}%
+    \def\#{\number\mfp@count}%
+    \xdef\setfilename##1##2{#1}%
+  \endgroup
+}%
 \newif\ifmfpicdraft
 \newlet\ifmfp@draft\iffalse
 \newlet\ifmfp@final\iffalse
@@ -318,17 +352,24 @@
   \AtEndDocument{\mfp@closegraphsfile}%
 \else
   \mfp@msg{}\Mfpic@msg{\mfpfiledate\space v\mfpfileversion.\@nl}%
-  \newdef\mfp@useMP#1#2#3#4{%
-    \mfp@ifdefined#1{}{\input #2\relax}%
-      \global\let\setmfpicgraphic\mfp@includeMPS
-      \gdef\getmfpicoffset##1{\xdef\mfpicllx{#3}\xdef\mfpiclly{#4}}}%
+  \newdef\mfp@useMP#1#2#3#4#5{%
+    \mfp@ifdefined#1{}{%
+      \InputIfFileExists{#2}{}{%
+        \InputIfFileExists{#3}{}{%
+          \mfp@errmsg{Files not found: #1, #2}%
+            {One of the two named files is necessary
+             for mfpic, but neither was found.}}}}%
+    \global\let\setmfpicgraphic\mfp@includeMPS
+    \gdef\getmfpicoffset##1{\xdef\mfpicllx{#4}\xdef\mfpiclly{#5}}}%
   \ifmfp@pdf
     \newdef\mfp@includeMPS#1{\convertMPtoPDF{#1}{1}{1}}%
     \newdef\@usemetapost{%
-      \mfp@useMP\convertMPtoPDF{supp-pdf}\MPllx\MPlly}%
+      \mfp@useMP\convertMPtoPDF{supp-pdf.mkii}{supp-pdf.tex}%
+        \MPllx\MPlly}%
   \else
     \newdef\mfp@includeMPS#1{\epsfbox{#1}}%
-    \newdef\@usemetapost{\mfp@useMP\epsfbox{epsf}\epsfllx\epsflly}%
+    \newdef\@usemetapost{%
+      \mfp@useMP\epsfbox{epsf.tex}{epsf.sty}\epsfllx\epsflly}%
   \fi
 \fi
 \mfp@DBlog{Handlers for optional parameters.}%
@@ -354,6 +395,16 @@
     \def\:{\@xifnch}\@xp\gdef\: {\futurelet\@let@token\@ifnch}%
   }%
 \mfp@enddef
+\def\mfp@tempa#1{%
+  \def\MFP@sp@def##1##2{%
+    \futurelet\mfp@next\MFP@sp@d##2\@nil\@nil#1\@nil\relax##1}%
+  \def\MFP@sp@d{%
+    \ifx\mfp@next\@sptoken \expandafter\MFP@sp@b
+    \else \expandafter\MFP@sp@b\expandafter#1%
+    \fi}%
+  \def\MFP@sp@b#1##1 \@nil{\MFP@sp@c##1}}%
+\mfp@tempa{ }%
+\def\MFP@sp@c#1\@nil#2\relax#3{\mfp@toks{#1}\edef#3{\the\mfp@toks}}%
 \def\mfp@iftoken#1#2{\@ifnextchar#1{\@firstoftwo{#2}}}%
 \def\mfp@ifstar#1#2#3{\mfp@iftoken*{#1{#2}}{#1{#3}}}%
 \def\mfp@ifend{\mfp@iftoken\mfp@end}%
@@ -428,7 +479,7 @@
      \ht0=0pt \dp0=0pt \shipout\hbox{\box0}}%
    \def\MFPtext#1{\vbox{\def\\{\cr}\MFPcfont\everylabel
         \halign{##\hfil\cr#1\crcr}}}%
-    }\endgroup
+    }\endgroup%
 \newdef\mfp@versioninfo{%
   \mfp@p\space\mfp@filename.m\mfp@ifmpost{p}{f},
     generated by Mfpic, v\mfpfileversion\space\mfpfiledate,\@nl
@@ -477,14 +528,26 @@
     \ifmfp@verbtex \the\mfp@verbtex\@nl \fi
     \the\mfp@commonverbatimtex\@nl
     \def\noexpand\everylabel{\the\mfp@toks}\@nl
-    etex;\@nl}%
+    etex;\@nl
+    \mfp@ifdefined\mfp@settemplate\mfp@settemplate{}%
+  }%
   \global\mfp@verbtexfalse \global\mfp@verbtex{}%
   \@ifmplabels\usemplabels{}%
   \ifmfp@truebbox \usetruebbox \fi
   \ifmfp@overlabels \overlaylabels \fi}%
+\def\mfp@MFextras{%
+    \mfp@ifdefined\mfp@resolution%
+    {GBresolution := \mfp@resolution;\@nl}{}%
+    \mfp@ifdefined\mfp@mode{mode := \mfp@mode;\@nl}{}}%
+\def\mfp@dospecials{\do\$\do\&\do\#\do\^\do\_\do\%\do\~}%
 \mfp@DBlog{Macros to open and close graphs files.}%
-\newdef\opengraphsfile#1{\@bsphack
-  \def\mfp@tempa{#1}%
+\newdef\opengraphsfile{\@bsphack
+  \begingroup
+    \let\do\@makeother
+    \mfp@dospecials\@opengraphsfile}%
+\newdef\@opengraphsfile#1{%
+    \xdef\mfp@tempa{#1}%
+  \endgroup
   \mfp@ifopengraphsfile%
    {\Mfpic@warn
      {\@nl An attempt has been made to open a graph file,
@@ -492,7 +555,7 @@
       while another, \mfp@filename, is still open. \@msgbreak
       Closing \mfp@filename.}\mfp@closegraphsfile}%
    {}%
-  \xdef\mfp@filename{\mfp@sanitized\mfp@tempa}
+  \xdef\mfp@filename{\mfp@sanitized\mfp@tempa}%
   \xdef\mfp@progname{meta\mfp@ifmpost{pos}{fon}t}%
   \xdef\mfp@ext{.m\mfp@ifmpost{p}{f}}%
   \mfp@ifmpost\mfp@checkMPoutput\mfp@checkMFoutput
@@ -500,7 +563,8 @@
   \ifmfp@draft \global\mfpicdrafttrue  \fi
   \ifmfp@final \global\mfpicdraftfalse \fi
   \ifmfp@nowrite \gdef\mfp@src##1##2{\endgroup}\fi
-  \mfsrc{\mfp@versioninfo\mfp@init@outfile\mfp@versioncheck}%
+  \mfsrc{\mfp@versioninfo \mfp@ifmpost{}\mfp@MFextras
+    \mfp@init@outfile \mfp@versioncheck}%
   \mfp@ifmpost\mfp@MPextras{}%
   \ifmfp@clip     \clipmfpic       \fi
   \ifmfp@clearsym \clearsymbols    \fi
@@ -524,8 +588,8 @@
   #1\edef#2{%
     \@ifundefined{\mfp@cmdname#2}{???}{\@nameuse{\mfp@cmdname#2}}}%
   \@ifundefined{\mfp@cmdname#2}%
-    {\mfp@msg{}\Mfpic@msg{No value for \string#2 in mfpic figure
-        \number\mfp@count.\@nl}}%
+    {\mfp@msg{}\Mfpic@msg{No value for \string#2\ifin@mfpicenv\space in
+    mfpic figure \number\mfp@count\fi.\@nl}}%
     {}%
   \mfsrc{\@ifmplabels{\@nl verbatimtex #1\def\string#2{#2} etex;\@nl}{}%
     message "\string\mfpicvalue";\@nl
@@ -683,7 +747,10 @@
 \newdef\pairarray{\setmfarray{pair}}%
 \newdef\numericarray{\setmfarray{numeric}}%
 \newdef\colorarray{\setmfarray{color}}%
+\newdef\rgbcolorarray{\setmfarray{rgbcolor}}%
+\newdef\cmykcolorarray{\setmfarray{cmykcolor}}%
 \newdef\globalsetmfarray#1#2{\mfsrc{gsetarray (#1) (#2)}\mfp@writedata}%
+\newlet\globalsetmparray\globalsetmfarray
 \newdef\lightershade{\shadespace1.2\shadespace}%
 \newdef\darkershade{\shadespace.83333\shadespace}%
 \newdef\dashlineset{\dashlen4pt \dashspace4pt }%
@@ -934,6 +1001,7 @@
   \newdef\ellipse{\mfp@defaultopt\mfp@ellipse{0}}%
   \newdef\sector##1{\mfp@figmac{sector (##1)}}%
   \newdef\arc{\mfp@iftoken*{\arccomplement\mfp@arc}{\mfp@arc}}%
+  \newdef\pshcircle{\mfp@ifstar\mfp@pshcircle\mfp@F\mfp@T}%
   \newdef\lines{\mfp@listi{polyline}\mfp@F}%
   \newdef\polygon{\mfp@listi{polyline}\mfp@T}%
   \newdef\computedspline{\mfp@listi{dospline}\mfp@F}%
@@ -944,6 +1012,8 @@
   \newdef\closedcspline{\mfp@listi{cspline}\mfp@T}%
   \newdef\qbeziers{\mfp@listi{qbezier}\mfp@F}%
   \newdef\closedqbeziers{\mfp@listi{qbezier}\mfp@T}%
+  \newdef\cbeziers{\mfp@listi{cbezier}\mfp@F}%
+  \newdef\closedcbeziers{\mfp@listi{cbezier}\mfp@T}%
   \newdef\fcnspline{\mfp@listi{fcnspline}\mfp@F}%
   \newdef\periodicfcnspline{\mfp@listi{fcnspline}\mfp@T}%
   \newlet\closedpolyline\polygon
@@ -958,6 +1028,7 @@
   \newlet\closedconvexcurve\convexcyclic
   \newdef\fcncurve{\mfp@nullopt\mfp@fcncurve}%
   \newdef\turtle{\mfp@listmac{turtle}}%
+  \newdef\brownianmotion##1{\mfp@figmac{brownianpath (##1)}}%
   \newdef\function{\mfp@fcn{function}s}%
   \newdef\parafcn{\mfp@fcn{parafcn}s}%
   \newdef\plrfcn{\mfp@fcn{plrfcn}s}%
@@ -1074,9 +1145,10 @@
   \newdef\gridarcs{\mfp@simple{gridarcs}}%
   \newdef\gridrays{\mfp@simple{gridrays}}%
   \newdef\plrpatch{\mfp@simple{polarpatch}}%
-  \newdef\vectorfield{\mfp@defaultopt{\mfp@vectorfield{}}{\the\headlen}}
+  \newdef\vectorfield{%
+    \mfp@defaultopt{\mfp@vectorfield{}}{\the\headlen}}%
   \newdef\plrvectorfield{%
-    \mfp@defaultopt{\mfp@vectorfield{plr}}{\the\headlen}}
+    \mfp@defaultopt{\mfp@vectorfield{plr}}{\the\headlen}}%
   \newdef\point{\mfp@defaultopt\mfp@point{\the\pointsize}}%
   \newdef\plotsymbol{\mfp@defaultopt\mfp@plotsymbol{\the\pointsize}}%
   \newdef\plottext{\begingroup\mfp@resetwhitespace\mp@mksharpother
@@ -1104,6 +1176,17 @@
   \newlet\histobar\chartbar
   \newlet\ganttbar\chartbar
 }% end \mfp@grafmacs
+\def\mfp@abc#1#2#3#4#5#6#7#8/{#6#3#1#2#6#7#6#4#5}%
+\@namedef{\mfp@abc STAGGER LEE/}{%
+\mfpic[20]{-2}{2}{-3}{3}%
+  \tile{peter, 1pt, 10, 10, false}%
+    \penwd{1pt}%
+    \draw[(1,0,0)]\lines{(0,0), (5,5), (10,0)}%
+    \pointcolor{(0,.8,0)}%
+    \point[3pt]{(2.5,7.5)}%
+  \endtile
+  \draw\tess{peter}\gfill[(1,1,0)]\ellipse{(0,0),2,3}%
+\endmfpic}%
 \newdef\mfppiechart{\mfp@defaultopt\mfp@piechart{c}}%
 \newdef\mfpbarchart{\mfp@defaultopt\mfp@barchart{0,1,1}}%
 \newlet\mfpbargraph\mfpbarchart
@@ -1118,6 +1201,7 @@
     \mfp@figmac{fallbackpath(\ifmfp@switch\mfp@F\else\mfp@T\fi) (#2)}}%
    {\mfp@figmac{\arc@or@circle\@nameuse{mfp@arc@#1} (#2)}}}%
 \newdef\mfp@ellipse#1#2{\mfp@figmac{ellipse (#2, #1)}}%
+\newdef\mfp@pshcircle#1#2{\mfp@figmac{pshcircle (#1, #2)}}%
 \newdef\mfp@curve#1#2{\mfp@nullopt{\mfp@@curve{#1}{#2}}}%
 \newdef\mfp@@curve#1#2#3{%
   \mfp@listmac{\mfp@ifempty{#3}{#1}{t#1 (#3)} (#2)}}%
@@ -1244,9 +1328,8 @@
 \newdef\@mfpicA#1{\mfp@defaultopt{\@mfpic{#1}}{#1}}%
 \newdef\@mfpic#1#2#3#4#5#6{%
   \save@mfpicdimens
-  \@mfpicunit\mfpicunit
   \begingroup % ended near end of \endmfpic
-  \edef\xmin{#3}\edef\xmax{#4}\edef\ymin{#5}\edef\ymax{#6}%
+  \@mfpicunit\mfpicunit
   \@nameuse{@safe@activestrue}%
   \mfp@ifopengraphsfile{}%
    {\ifmfp@nowrite\else \mfp@nooutput@error\mfpic
@@ -1259,10 +1342,12 @@
   \nullfont
   \mfp@grafmacs
   \mfp@additions
-  \mfp@setconv{#1}{#2}{#3}{#5}%
+  \edef\xfactor{#1}\edef\yfactor{#2}%
+  \edef\xmin{#3}\edef\xmax{#4}\edef\ymin{#5}\edef\ymax{#6}%
+  \mfp@setconv
   \mfp@inittlabels
-  \@xconv{#4}\@graphright
-  \@yconv{#6}\@graphtop
+  \@xconv\xmax\@graphright
+  \@yconv\ymax\@graphtop
   \@graphleft 0pt
   \@graphbot  0pt
   \mfsrc{\@nl \mfp@p\mfp@d\mfp@d<\number\mfp@count>\@nl
@@ -1295,18 +1380,18 @@
     \mfp@iftoken*{\tlabelellipse*[1]}{\tlabelellipse[1]}}%
   \newdef\tlabels{\begingroup
     \mfp@resetwhitespace\mp@mksharpother \mfp@labels}%
-  \newdef\axislabels{\mfp@axislabels{#3}{#4}{#5}{#6}}%
+  \newlet\axislabels\mfp@axislabels
   \let\mfp@docaption\@empty
   \newdef\tcaption{\mfp@defaultopt\mfp@caption{1.2,1.0}}%
   \every@mfpic}% End of \@mfpic
-\newdef\mfp@setconv#1#2#3#4{% #1,#2=xscale,yscale. #3,#4=xmin,ymin.
+\newdef\mfp@setconv{%
   \def\@xconv##1##2{% ##1 = coord. ##2 = dimension register or fdim
-  {\mfp@scratch=##1\@mfpicunit \advance\mfp@scratch by -#3\@mfpicunit
-    \mfp@scratch=#1\mfp@scratch
+  {\mfp@scratch=##1\@mfpicunit \advance\mfp@scratch by -\xmin\@mfpicunit
+    \mfp@scratch=\xfactor\mfp@scratch
     \global ##2=\mfp@scratch}}%
   \def\@yconv##1##2{% ditto
-  {\mfp@scratch=##1\@mfpicunit \advance\mfp@scratch by -#4\@mfpicunit
-    \mfp@scratch=#2\mfp@scratch
+  {\mfp@scratch=##1\@mfpicunit \advance\mfp@scratch by -\ymin\@mfpicunit
+    \mfp@scratch=\yfactor\mfp@scratch
     \global ##2=\mfp@scratch}}}%
 \newdef\mfp@inittlabels{%
   \setbox\@alltlabels\vbox{\hbox{}}%
@@ -1410,23 +1495,23 @@
   \mfp@scratch-\tb@dp
   \edef\tb@ll{(0, \the\mfp@scratch)}%
   \edef\tb@ur{(\the\tb@wd, \the\tb@ht)}}%
-\newdef\mfp@axislabels#1#2#3#4#5{%
+\newdef\mfp@axislabels#1{%
     \begingroup % ended in \mfp@(@)doaxislabel
       \mfp@resetwhitespace
       \tl@vpos1 \tl@hpos0
       \let\mfp@xcoord\@firstofone \let\mfp@ycoord\@firstofone
-      \mfp@getaxis#5\relax\mfp@end\axislabels
+      \mfp@getaxis#1\relax\mfp@end\axislabels
       \ifcase\mfp@axisnum\relax
         \tl@vpos2 \def\mfp@ycoord{0}\or
         \tl@hpos1 \def\mfp@xcoord{0}\or
         \tl@hpos1\edef\mfp@xcoord{\mfp@lshift}%
-            \mfpaddto\mfp@xcoord{#1}\or
+            \mfpaddto\mfp@xcoord\xmin\or
         \tl@vpos2\edef\mfp@ycoord{\mfp@bshift}%
-            \mfpaddto\mfp@ycoord{#3}\or
+            \mfpaddto\mfp@ycoord\ymin\or
         \tl@hpos-1 \edef\mfp@xcoord{-\mfp@rshift}%
-            \mfpaddto\mfp@xcoord{#2}\or
+            \mfpaddto\mfp@xcoord\xmax\or
         \tl@vpos0 \edef\mfp@ycoord{-\mfp@tshift}%
-            \mfpaddto\mfp@ycoord{#4}%
+            \mfpaddto\mfp@ycoord\ymax
       \fi
       \ifx\@firstofone\mfp@xcoord
         \edef\mfp@ycoord##1{\mfp@ycoord}%
@@ -1655,16 +1740,18 @@
 \def\@mfpverbtex{%
   \begingroup
     \@makeother\#\@makeother\%\mfp@keeplines
-    \afterassignment\mfp@writetex\global\mfp@verbtex}%
+    \afterassignment\mfp@writetex\global\mfp@toks}%
 \newif\ifmfp@verbtex
 \def\mfp@writetex{%
   \endgroup
   \mfp@ifopengraphsfile
    {\mfp@ifmpost
-     {\mfsrc{ verbatimtex\@nl \the\mfp@verbtex}\mfcmd{etex}}%
-     {\mfp@noMP@error\mfpverbtex}%
-    \global\mfp@verbtexfalse\mfp@verbtex{}}%
-   {\global\mfp@verbtextrue}}%
+      {\mfsrc{ verbatimtex\@nl \the\mfp@toks}\mfcmd{etex}}%
+      {\mfp@noMP@error\mfpverbtex}%
+    \global\mfp@verbtexfalse\global\mfp@verbtex{}}%
+   {\edef\mfp@tempa{\the\mfp@verbtex\the\mfp@toks}%
+    \global\mfp@verbtex\@xp{\mfp@tempa}%
+    \global\mfp@verbtextrue}}%
 \mfpicnumber{1}%
 \InputIfFileExists{mfppatch.tex}{}{}%
 \mfp@ifdefined\mfpdraftfont{}{\newdef\mfpdraftfont{\tt}}%
diff --git a/Master/texmf-dist/tex/generic/mfpic/mfppatch.tex b/Master/texmf-dist/tex/generic/mfpic/mfppatch.tex
index 3d47072f8ef..b0bc7f5f5c6 100644
--- a/Master/texmf-dist/tex/generic/mfpic/mfppatch.tex
+++ b/Master/texmf-dist/tex/generic/mfpic/mfppatch.tex
@@ -1,14 +1,15 @@
 %%% File: mfppatch.tex
-%%% A patch for mfpic 0.9 2006/05/26
+%%% A part of mfpic 1.00 2009/09/22
 %%%
-\def\mfp@versionpatched{0.9}%
+\def\mfp@versionpatched{1.00}%
 \def\mfp@patchinfo{%
   \Mfpic@warn{This patch is only for mfpic version \mfp@versionpatched!\@nl}}%
 \let\mfp@dopatches\endinput
 \ifx\mfpfileversion\mfp@versionpatched
-  \def\mfp@patchinfo{}%
+  \def\mfp@patchinfo{}% Make this issue a message when patches occur.
   \def\mfp@dopatches{}%
 \fi
 \mfp@patchinfo
 \mfp@dopatches
+% None at this time.
 \endinput