2016-06-19 13:35:00

1 files changed, 16 insertions, 681 deletions

diff --git a/doc/context/sources/general/manuals/math/math-mkiv.tex b/doc/context/sources/general/manuals/math/math-mkiv.tex
index f16359fcb..8f3a62705 100644
--- a/doc/context/sources/general/manuals/math/math-mkiv.tex
+++ b/doc/context/sources/general/manuals/math/math-mkiv.tex
@@ -1,693 +1,28 @@
 % language=uk
 
-\setupbodyfont
-  [pagella]
+\environment math-layout
 
-\setupwhitespace
-  [big]
+\startproduct math-mkiv
 
-\setuppagenumbering
-  [alternative=doublesided]
+\startdocument
 
-\setuplayout
-  [backspace=2cm,
-   width=middle,
-   cutspace=2cm,
-   topspace=2cm,
-   header=2cm,
-   height=middle,
-   footer=0pt,
-   bottomspace=2cm]
+\component math-titlepage
 
-\usemodule[x][setups-basics]
+\startfrontmatter
+    \component math-contents
+    \component math-introduction
+\stopfrontmatter
 
-\usemodule[visual]
+\startbodymatter
+    \component math-spacing
+    \component math-framing
+    \component math-numbering
+    \component math-combining
+\stopbodymatter
 
-\loadsetups[i-context]
+\stopdocument
 
-\starttext
-
-\startMPpage
-
-StartPage;
-    fill Page withcolor .35magenta ;
-    picture p ; p := image ( draw outlinetext.b
-        ("\textdollar")
-        (withcolor .35green)
-        (withcolor .5yellow withpen pencircle scaled .1) ;
-    ) ;
-    p := p xysized(PaperWidth - 20pt,PaperHeight - 20pt ) ;
-    p := p shifted - llcorner p shifted (10pt,10pt) ;
-    draw p ;
-    picture p ; p := image ( draw outlinetext.b
-        ("math")
-        (withcolor .35green)
-        (withcolor .5yellow withpen pencircle scaled .2) ;
-    ) ;
-    p := p xsized(PaperWidth/2 - 40pt) ;
-    p := p shifted - llcorner p shifted (10pt,10pt) ;
-    draw p shifted (PaperWidth/2 + 20pt,20pt);
-StopPage;
-
-\stopMPpage
-
-\page[empty] \setuppagenumber[number=1]
-
-\setuplayout
-  [backspace=2cm,
-   topspace=2cm,
-   header=2cm,
-   height=middle,
-   width=middle]
-
-\setuphead
-  [chapter]
-  [header=high,
-   style=\bfc,
-   color=darkmagenta]
-
-\setuphead
-  [section]
-  [style=\bfb]
-
-\setuphead
-  [subsection]
-  [style=\bfa]
-
-\starttitle[title=Introduction]
-
-This manual is not a systematic discussion about math in \CONTEXT\ but more a
-collection of wrap|-|ups. The file also serves as testcase. The content can
-change over time and can also serve as a trigger for discussions on the mailing
-list. Feel free to contribute.
-
-\startlines
-Hans Hagen
-Hasselt NL
-% May 2016
-\stoplines
-
-\stoptitle
-
-\startchapter[title=Vertical spacing]
-
-The low level way to input inline math in \TEX\ is
-
-\starttyping
-$ e = mc^2 $
-\stoptyping
-
-while display math can be entered like:
-
-\starttyping
-$$ e = mc^2 $$
-\stoptyping
-
-The inline method is still valid, but for display math the \type {$$} method
-should not be used. This has to do with the fact that we want to control spacing
-in a consistent way. In \CONTEXT\ the vertical spacing model is rather stable
-although in \MKIV\ the implementation is quite different. It has always been a
-challenge to let this mechanism work well with space round display formulas. This
-has to do with the fact that (in the kind of documents that we have to produce)
-interaction with already present spacing is somewhat tricky.
-
-Of course much can be achieved in \TEX\ but in \CONTEXT\ we need to have control
-over the many mechanisms that can interact. Given the way \TEX\ handles space
-around display math there is no real robust solution possible that gives visually
-consistent space in all cases so that is why we basically disable the existing
-spacing model. Disabling is easier in \LUATEX\ and recent versions of \MKIV\ have
-been adapted to that.
-
-In pure \TEX\ what happens is this:
-
-\startbuffer
-$$ x $$
-\stopbuffer
-
-\typebuffer \par \start \showboxes \getbuffer \par \stop
-
-A horizontal box get added which triggers a baselineskip. Then the formula is put
-below it. We can get rid of that box with \type {\noindent}:
-
-\startbuffer
-\noindent $$ x $$
-\stopbuffer
-
-\typebuffer \par \start \showboxes \getbuffer \par \stop
-
-In addition (not shown here) vertical space is added before and after the formula
-and left- and rightskip on the edges. In fact typesetting display math goes like this:
-
-\startitemize[packed]
-    \startitem
-        typeset the formula using display mode and wrap it in a box
-    \stopitem
-    \startitem
-        add an equation number, if possible in the same line, otherwise on a line
-        below
-    \stopitem
-    \startitem
-        in the process center the formula using the available display width and
-        required display indentation
-    \stopitem
-    \startitem
-        add vertical space above and below (depending also in displays being
-        short in relation to the previous line
-    \stopitem
-    \startitem
-        at the same time also add penalties that determine the break across
-        pages
-    \stopitem
-\stopitemize
-
-Apart from the spacing around the formula and the equation number, typesetting is
-not different from:
-
-\starttyping
-\hbox {$ \displaystyle x $}
-\stoptyping
-
-This spacing around math is a sensitive issue. Because math itself can have a
-narrow band, for instance a lone $x$, or relative much depth, as with $y$, or
-both depth and height as in $(1,2)$ and $x^2 + y_2$ and because a preceding line
-can have no or little depth and a following line little height, the visual
-appearance can become inconsistent. The default approach is to force consistent
-spacing, but when needed we can implement variants.
-
-Spacing around display math is set up with \type {\setupformulas}:
-
-\starttyping
-  \setupformulas
-    [spacebefore=big,
-     spaceafter=big]
-\stoptyping
-
-When the whitespace is larger that setting wins because as usual the larger
-of blanks or whitespace wins.
-
-% \showdefinition[setupformula]
-% \showdefinition[setupmathematics]
-
-In \in {figures} [whitespace-no], \in {figures} [whitespace-medium] \in {and}
-[whitespace-big] we see how things interact. We show lines with and without
-maximum line height and depth (enforced by struts) alongside.
-
-% no whitespace
-
-\startbuffer[demo-1]
-\disablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=none,spaceafter=none]
-\setupwhitespace[none]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startbuffer[demo-2]
-\enablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=none,spaceafter=none]
-\setupwhitespace[none]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startbuffer[demo-3]
-\disablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=medium,spaceafter=medium]
-\setupwhitespace[none]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startbuffer[demo-4]
-\enablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=medium,spaceafter=medium]
-\setupwhitespace[none]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startplacefigure[location=page,reference=whitespace-no,title={No whitespace.}]
-    \startcombination[2*2]
-        {\typesetbuffer[demo-1][height=.45\textheight]} {\tttf natural + none   + ws none}
-        {\typesetbuffer[demo-2][height=.45\textheight]} {\tttf strut   + none   + ws none}
-        {\typesetbuffer[demo-3][height=.45\textheight]} {\tttf natural + medium + ws none}
-        {\typesetbuffer[demo-4][height=.45\textheight]} {\tttf strut   + medium + ws none}
-    \stopcombination
-\stopplacefigure
-
-% whitespace medium same as medium spacing around math
-
-\startbuffer[demo-1]
-\disablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=none,spaceafter=none]
-\setupwhitespace[medium]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startbuffer[demo-2]
-\enablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=none,spaceafter=none]
-\setupwhitespace[medium]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startbuffer[demo-3]
-\disablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=medium,spaceafter=medium]
-\setupwhitespace[medium]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startbuffer[demo-4]
-\enablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=medium,spaceafter=medium]
-\setupwhitespace[medium]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startplacefigure[location=page,reference=whitespace-medium,title={Whitespace the same as display spacing.}]
-    \startcombination[2*2]
-        {\typesetbuffer[demo-1][height=.45\textheight]} {\tttf natural + none   + ws medium}
-        {\typesetbuffer[demo-2][height=.45\textheight]} {\tttf strut   + none   + ws medium}
-        {\typesetbuffer[demo-3][height=.45\textheight]} {\tttf natural + medium + ws medium}
-        {\typesetbuffer[demo-4][height=.45\textheight]} {\tttf strut   + medium + ws medium}
-    \stopcombination
-\stopplacefigure
-
-% whitespace big wins from medium spacing around math
-
-\startbuffer[demo-1]
-\disablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=none,spaceafter=none]
-\setupwhitespace[big]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startbuffer[demo-2]
-\enablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=none,spaceafter=none]
-\setupwhitespace[big]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startbuffer[demo-3]
-\disablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=medium,spaceafter=medium]
-\setupwhitespace[big]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startbuffer[demo-4]
-\enablemode[with-struts]
-\showmakeup
-\setupformulas[spacebefore=medium,spaceafter=medium]
-\setupwhitespace[big]
-\input math-spacing-001.tex
-\stopbuffer
-
-\startplacefigure[location=page,reference=whitespace-big,title={Whitespace larger than display spacing.}]
-    \startcombination[2*2]
-        {\typesetbuffer[demo-1][height=.45\textheight]} {\tttf natural + none   + ws big}
-        {\typesetbuffer[demo-2][height=.45\textheight]} {\tttf strut   + none   + ws big}
-        {\typesetbuffer[demo-3][height=.45\textheight]} {\tttf natural + medium + ws big}
-        {\typesetbuffer[demo-4][height=.45\textheight]} {\tttf strut   + medium + ws big}
-    \stopcombination
-\stopplacefigure
-
-Because we want to have control over the placement of the formula number but also
-want to be able to align the formula with the left or right edge of the text
-area, we don't use the native display handler by default. We still have a way to
-force this, but this is only for testing purposes. By default a formula is placed
-centered relative to the current text, including left and right margins.
-
-\startbuffer
-\fakewords{20}{40}
-
-\startitemize
-    \startitem
-        \fakewords{20}{40}
-        \placeformula
-            \startformula
-                \fakeformula
-            \stopformula
-    \stopitem
-    \startitem
-        \fakewords{20}{40}
-    \stopitem
-\stopitemize
-
-\fakewords{20}{40}\epar
-\stopbuffer
-
-\typebuffer
-
-\start \getbuffer \stop
-
-In the next examples we explicitly align formulas to the left (\type
-{flushleft}), center (\type {middle}) and right (\type {flushright}):
-
-\startbuffer[demo]
-\setupformulas[align=flushleft]
-\startformula\fakeformula\stopformula
-\setupformulas[align=middle]
-\startformula\fakeformula\stopformula
-\setupformulas[align=flushright]
-\startformula\fakeformula\stopformula
-\stopbuffer
-
-\typebuffer[demo]
-
-The three cases show up as:
-
-\start \getbuffer[demo] \stop
-
-You can also set a left and|/|or right margin:
-
-\startbuffer[setting]
-\setupformulas
-  [leftmargin=3cm,
-   rightmargin=3cm]
-\stopbuffer
-
-\start \getbuffer[setting] \getbuffer[demo] \stop
-
-With formula numbers these formulas look as follows:
-
-\startbuffer[demo]
-\setupformulas[align=flushleft]
-\placeformula \startformula\fakeformula\stopformula
-\setupformulas[align=middle]
-\placeformula \startformula\fakeformula\stopformula
-\setupformulas[align=flushright]
-\placeformula \startformula\fakeformula\stopformula
-\stopbuffer
-
-\start \getbuffer[demo] \stop
-
-and the same with margins:
-
-\start \getbuffer[setting] \getbuffer[demo] \stop
-
-\page
-
-When the \type {margin} option is set to \type {standard} or \type {yes} the
-current indentation (when set) or left skip is added to the left side.
-
-\startbuffer
-\setupformulas[align=flushleft]
-\startformula \fakeformula \stopformula
-\placeformula \startformula \fakeformula \stopformula
-\stopbuffer
-
-\typebuffer \start \getbuffer \stop
-
-\startbuffer
-\setupformulas[align=flushleft,margin=standard]
-\startformula \fakeformula \stopformula
-\placeformula \startformula \fakeformula \stopformula
-\stopbuffer
-
-\typebuffer \start \getbuffer \stop
-
-The distance between the formula and the number is only applied when the formula
-is left or right aligned.
-
-\startbuffer
-\setupformulas[align=flushright,distance=0pt]
-\startformula \fakeformula \stopformula
-\placeformula \startformula \fakeformula \stopformula
-\stopbuffer
-
-\typebuffer \start \getbuffer \stop
-
-\startbuffer
-\setupformulas[align=flushright,distance=2em]
-\startformula \fakeformula \stopformula
-\placeformula \startformula \fakeformula \stopformula
-\stopbuffer
-
-\typebuffer \start \getbuffer \stop
-
-\stopchapter
-
-% \startchapter[title=Numbering]
-
-% \stopchapter
-
-\startchapter[title=Framing]
-
-The \type {\framed} macro is one of the core constructors in \CONTEXT\ and it's
-used all over the place. This macro is unlikely to change its behaviour and as it
-has evolved over years it comes with quite some options and some can interfere
-with the expectations one has. In general using this macro works out well but you
-need to keep an eye on using struts and alignment.
-
-\startbuffer
-\framed{$e=mc^2$}
-\stopbuffer
-
-\typebuffer
-
-The outcome of this is:
-
-\startlinecorrection \getbuffer \stoplinecorrection
-
-There is a bit of offset (that you can set) but also struts are added as can be
-seen when we visualize them:
-
-\startlinecorrection \showstruts \getbuffer \stoplinecorrection
-
-These struts can be disabled:
-
-\startbuffer
-\framed[strut=no]{$e=mc^2$}
-\stopbuffer
-
-\typebuffer
-
-Now the result is more tight.
-
-\startlinecorrection \showstruts \getbuffer \stoplinecorrection
-
-These struts are the way to get a consistent look and feel and are used
-frequently in \CONTEXT. We mention these struts because they get in the way when
-we frame a display formula. Let's first look at what happens when we
-just package a formula in a box:
-
-\startbuffer
-\vbox\bgroup
-    \startformula
-        e = mc^2
-    \stopformula
-\egroup
-\stopbuffer
-
-\typebuffer
-
-We get:
-
-\startlinecorrection \start \showmakeup \getbuffer \stop \stoplinecorrection
-
-Now there are a few properties of displaymath that one needs to keep in mind when
-messing around with them this way. First of all display math is meant to be used
-as part of the page stream. This means that spacing above and below is adapted to
-what comes before and after. It also means that, because formulas can be numbered,
-we have some settings that relate to horizontal placement.
-
-The default vertical spacing is easy to get rid of:
-
-\startbuffer
-\vbox\bgroup
-    \startformula[packed]
-        e = mc^2
-    \stopformula
-\egroup
-\stopbuffer
-
-\typebuffer
-
-This gives:
-
-\startlinecorrection \start \showmakeup \getbuffer \stop \stoplinecorrection
-
-Another handy keyword is \type {tight}:
-
-\startbuffer
-\vbox\bgroup
-    \startformula[tight]
-        e = mc^2
-    \stopformula
-\egroup
-\stopbuffer
-
-\typebuffer
-
-This gives:
-
-\startlinecorrection \start \showmakeup \getbuffer \stop \stoplinecorrection
-
-We can combine these two:
-
-\startbuffer
-\vbox\bgroup
-    \startformula[packed,tight]
-        e = mc^2
-    \stopformula
-\egroup
-\stopbuffer
-
-\typebuffer
-
-This gives:
-
-\startlinecorrection \start \showmakeup \getbuffer \stop \stoplinecorrection
-
-Just in case you wonder why we need to go through these troubles: keep in mind
-that we are wrapping something (math) that normally goes in a vertical list with
-text above and below.
-
-The \type {packed} and \type {tight} options can help when we want to wrap
-a formula in a frame:
-
-\startbuffer
-\framed
-    [strut=no]
-    {
-        \startformula[packed,tight]
-            e = mc^2
-        \stopformula
-    }
-\stopbuffer
-
-\typebuffer
-
-which renders as:
-
-\startlinecorrection \getbuffer \stoplinecorrection
-
-There is a dedicated math framed instance that is tuned to give better results
-and automatically switches to math mode:
-
-\startbuffer
-\mframed {
-    e = mc^2
-}
-\stopbuffer
-
-\typebuffer
-
-becomes:
-
-\startlinecorrection \getbuffer \stoplinecorrection
-
-Multiple formulas can be combined:
-
-\startbuffer
-\startformulas
-    \startformula
-        a + b = c
-    \stopformula
-    \startformula
-        d - e = f
-    \stopformula
-\stopformulas
-\stopbuffer
-
-\typebuffer
-
-We might add some more control in the future, but this is what you get:
-
-\startlinecorrection \getbuffer \stoplinecorrection
-
-Framing a formula is also supported as a option, where the full power of framed can
-be applied to the formula. We will illustrate this in detail on the next pages. For this
-we use the following sample:
-
-\typefile{math-framing-001.tex}
-
-In \in {figure} [framing-flushleft], \in [framing-middle] \in {and}
-[framing-flushright] you see some combinations. You can run this example on your
-machine and see the details.
-
-\startplacefigure[location=page,reference=framing-flushleft,title={Framed formulas flushed left.}]
-    \startcombination[2*2]
-        {\typesetfile[math-framing-001.tex][page=01,height=.45\textheight]} {\tttf right + flushleft}
-        {\typesetfile[math-framing-001.tex][page=02,height=.45\textheight]} {\tttf right + flushleft}
-        {\typesetfile[math-framing-001.tex][page=07,height=.45\textheight]} {\tttf left  + flushleft + tight}
-        {\typesetfile[math-framing-001.tex][page=08,height=.45\textheight]} {\tttf left  + flushleft + tight}
-    \stopcombination
-\stopplacefigure
-
-\startplacefigure[location=page,reference=framing-middle,title={Framed formulas centered.}]
-    \startcombination[2*2]
-        {\typesetfile[math-framing-001.tex][page=03,height=.45\textheight]} {\tttf right + middle}
-        {\typesetfile[math-framing-001.tex][page=04,height=.45\textheight]} {\tttf right + middle}
-        {\typesetfile[math-framing-001.tex][page=09,height=.45\textheight]} {\tttf left  + middle + tight}
-        {\typesetfile[math-framing-001.tex][page=10,height=.45\textheight]} {\tttf left  + middle + tight}
-    \stopcombination
-\stopplacefigure
-
-\startplacefigure[location=page,reference=framing-flushright,title={Framed formulas flushed right.}]
-    \startcombination[2*2]
-        {\typesetfile[math-framing-001.tex][page=05,height=.45\textheight]} {\tttf right + flushright}
-        {\typesetfile[math-framing-001.tex][page=06,height=.45\textheight]} {\tttf right + flushright}
-        {\typesetfile[math-framing-001.tex][page=11,height=.45\textheight]} {\tttf left  + flushright + tight}
-        {\typesetfile[math-framing-001.tex][page=12,height=.45\textheight]} {\tttf left  + flushright + tight}
-    \stopcombination
-\stopplacefigure
-
-\stopchapter
-
-With each formula class a framed variants is automatically created:
-
-\startbuffer
-\defineformula
-  [foo]
-
-\setupformulaframed
-  [foo]
-  [frame=on,
-   framecolor=red]
-
-\startfooformula[frame]
-    e=mc^2
-\stopfooformula
-\stopbuffer
-
-\typebuffer
-
-This time you get a red frame:
-
-\getbuffer
-
-You can also frame the number, as in:
-
-\startbuffer
-\setupformulaframed[framecolor=red,frame=on,offset=1ex]
-\setupformula[option=frame,color=blue]
-\setupformula[numbercommand={\inframed[framecolor=green]}]
-
-\startplaceformula
-    \startformula
-        2 + 2 = 2x
-    \stopformula
-\stopplaceformula
-\stopbuffer
-
-\typebuffer
-
-The boxes get properly aligned:
-
-\start \showboxes \getbuffer \stop
-
-\stoptext
+\stopproduct
 
 % when we compare these tables with the one that the ff loader produces we notice
 % some differences: this is because (deduced from source) that ff does some kind