User manual: first version
Gwenal Delaval
12 years ago
parent
502c5e446f
commit
d36e988fb9
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# -*- Makefile -*-
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# LaTeX Makefile for dvi, ps, and pdf file creation.
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# By Jeffrey Humpherys
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# Written April 05, 2004
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# Revised January 13, 2005
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# Revised 2006
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# Thanks Bjorn and Boris
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LATEX=latex -src-specials
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BIBTEX=bibtex
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PDFLATEX=pdflatex
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DVIPS=dvips -sPAPERSIZE=a4
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PS2PDF=ps2pdf -sPAPERSIZE=a4
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INTERMEDIATE_FILES=aux,log,bbl,blg,dvi,toc,lof,log,lot,out,cb,nav,snm,vrb
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MAIN = $(shell grep -l documentclass ./*.tex)
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SOURCES = $(wildcard ./*.tex)
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FIGURES = $(wildcard ./figures/*.fig)
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ANIMS = $(wildcard ./anim/*.anim)
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TEXANIMS = $(patsubst %.anim,%.tex,$(ANIMS))
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EPSFIGURES = $(patsubst %.fig,%.eps,$(FIGURES))
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PDFFIGURES = $(patsubst %.fig,%.pdf,$(FIGURES))
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PSORPDF=pdf
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-include config
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DVIS = $(patsubst %.tex,%.dvi,$(MAIN))
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PDFS = $(patsubst %.tex,%.pdf,$(MAIN))
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PSS = $(patsubst %.tex,%.ps,$(MAIN))
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ifeq ($(PSORPDF),pdf)
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PSORPDFFIGURES=$(PDFFIGURES)
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else
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PSORPDFFIGURES=$(EPSFIGURES)
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endif
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ifeq ($(PSORPDF),pdf)
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all: pdf
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else
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all: dvi
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endif
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dvi: $(DVIS)
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pdf: $(PDFS)
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ps: $(PSS)
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figures: $(PSORPDFFIGURES)
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anim: $(TEXANIMS)
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%.dvi: %.tex $(SOURCES) $(EPSFIGURES) $(TEXANIMS)
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$(LATEX) $*
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@while ( grep "Rerun to get cross-references" \
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$*.log > /dev/null ); do \
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echo '** Re-running LaTeX **'; \
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$(LATEX) $*; \
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done
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ifeq ($(PSORPDF),pdf)
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$(PDFS) : $(SOURCES) $(PDFFIGURES) $(TEXANIMS)
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$(PDFLATEX) $(patsubst %.pdf,%.tex,$@)
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@if ( grep "\\bibdata" $(patsubst %.pdf,%.aux,$@) > /dev/null ); then \
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$(BIBTEX) $(patsubst %.pdf,%,$@); \
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fi
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@while ( grep "Rerun to get cross-references" \
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$(patsubst %.pdf,%.log,$@) > /dev/null ); do \
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echo '** Re-running LaTeX **'; \
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$(PDFLATEX) $(patsubst %.pdf,%.tex,$@); \
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done
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else
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%.pdf : %.ps
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$(PS2PDF) $*.ps
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endif
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%.bbl: %.tex %.aux
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$(BIBTEX) $*
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%.aux: %.tex
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$(LATEX) $*
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%.ps : %.dvi
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$(DVIPS) $*.dvi -o $*.ps
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%.tex : %.anim %.fig
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figanim $<
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%.eps %.tex: %.fig
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fig2dev -L pstex $*.fig > $*.eps
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fig2dev -L pstex_t -F -p $* $*.fig > $*.tex
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%.tex : %.fig
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fig2dev -L $(PSORPDF)tex_t -F -p $* $*.fig > $*.tex
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%.pdf %.tex: %.fig
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fig2dev -L pdftex $*.fig > $*.pdf
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fig2dev -L pdftex_t -F -p $* $*.fig > $*.tex
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clean:
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rm -f ./*.aux ./*.log ./*.bbl ./*.blg ./*.dvi ./*.toc ./*.lof ./*.log ./*.lot ./*.out ./*.cb ./*.nav ./*.snm ./*.vrb
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rm -f ./*.tex~
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figclean:
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rm -f ./figures/*.{tex,eps,pdf,bak}
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animclean:
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rm -f ./anim/*.{tex,eps,pdf,bak}
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bigclean: figclean animclean clean
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rm -f $(PDFS) $(PSS)
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\documentclass[a4paper]{article}
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\usepackage[T1]{fontenc}
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\usepackage[utf8]{inputenc}
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\usepackage[a4paper]{geometry}
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%\usepackage[francais]{babel}
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%\usepackage{subfigure}
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%\usepackage{fancyvrb}
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%\usepackage{fancyhdr}
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\usepackage[hypertex,ps2pdf]{hyperref}
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\usepackage{array}
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\usepackage{xcolor}
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%\usepackage{comment}
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\usepackage{lmodern}
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\usepackage{varwidth}
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\usepackage{tikz}
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%\usetikzlibrary{arrows}
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\usetikzlibrary{automata}
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\usetikzlibrary{matrix}
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\usetikzlibrary{shapes}
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\usetikzlibrary{positioning}
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\usepackage{macros}
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% fontes tt avec gras (mots-clés)
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\renewcommand{\ttdefault}{txtt}
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% Figures tikz
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\tikzstyle{hierarchical state} =
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[rectangle,
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round corners,
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draw=black]
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\tikzstyle{ls node} =
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[rectangle,
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sharp corners,
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draw=black]
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\tikzstyle{file} =
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[rectangle,
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sharp corners,
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draw=black]
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\tikzstyle{tool} =
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[rectangle,
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rounded corners,
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draw=black]
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\newenvironment{lsnode}[2][]{
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\node[% title
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ls node
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% fill=blue!90!black,
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] (title) {#2};% title text
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\node at (title.south west) [%
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ls node,
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anchor=north west,
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yshift=\pgflinewidth]
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\bgroup
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\begin{varwidth}{0.9\textwidth}
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\centering
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\begin{tikzpicture}[%
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node distance=8mm,
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pin distance=8mm,
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label distance=2mm,
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inner sep=1mm,
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anchor=center,
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pos=0.5,
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#1]% optional parameter(s)
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}{%
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\end{tikzpicture}
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\end{varwidth}
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\egroup;
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}
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\newenvironment{contlsnode}[2][]{
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\node[% title
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ls node
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% fill=blue!90!black,
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] (title) {#2};% title text
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\node at (title.south west) [%
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ls node,rectangle split, rectangle split parts=3,
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anchor=north west,text badly ragged,
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yshift=\pgflinewidth]
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\bgroup
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% \begin{varwidth}{0.9\textwidth}
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% \centering
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% \begin{tikzpicture}[%
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% node distance=8mm,
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% pin distance=8mm,
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% label distance=-0.5mm,
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% inner sep=1mm,
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% anchor=center,
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% pos=0.5,
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% #1]% optional parameter(s)
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}{%
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% \end{tikzpicture}
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% \end{varwidth}
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\egroup;
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}
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\pagestyle{empty}
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\begin{document}
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\begin{tikzpicture}[node distance=3cm,auto,initial text=,initial where=left,pos=0.5]
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\draw node[state,initial,label={above:$y=\False$}] (A) {A};
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\draw node[state,label={below:$y=\True$}] (C) [below of=A] {C};
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\draw node[draw,rounded corners,anchor=west] (B)
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[right of=A,anchor=north west] {
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\begin{varwidth}{\textwidth}
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\begin{tikzpicture}
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\matrix (m) [matrix of nodes] {
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\begin{tikzpicture}
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\begin{scope}[node distance=2cm,auto,initial text=,initial
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where=left,pos=0.5]
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\draw node[state,initial,label={right:$y_1 =\False$}] (Idle) {Idle};
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\draw node[state,label={right:$y_1=\True$}] (Active) [below of=Idle]
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{Act};
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\path[->] (Idle) edge [bend left] node {$c$} (Active)
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(Active) edge [bend left] node {$c$} (Idle);
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\end{scope}
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\end{tikzpicture}
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&
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\begin{tikzpicture}
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\begin{scope}[node distance=2cm,auto,initial text=,initial where=left,pos=0.5]
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\draw node[state,initial,label={right:$y_2 =\False$}] (Idle) {Idle};
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\draw node[state,label={right:$y_2=\True$}] (Active) [below of=Idle]
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{Act};
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\path[->] (Idle) edge [bend left] node {$d$} (Active) (Active) edge
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[bend left] node {$d$} (Idle);
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\end{scope}
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\end{tikzpicture}
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\\[5mm]
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\node {$y = y_1\land y_2$};\\
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};
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\draw [dashed] (m-1-1.north east) -- (m-1-1.south east);
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\draw [dashed] (m-1-1.south west) -- (m-1-2.south east);
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\end{tikzpicture}
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\end{varwidth}
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};
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\path[->] (A) edge [bend left] node {$c$} (B)
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(B.west) edge [bend left] node {$c\land d$} (C)
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(C) edge [bend left] node {$d$} (A);
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\end{tikzpicture}
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\end{document}
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%!PS-Adobe-2.0
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%%Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software
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%%Title: node-contract.dvi
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%%Pages: 1
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%%PageOrder: Ascend
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%%BoundingBox: 0 0 595 842
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%%DocumentFonts: CMMI10 CMR10 CMR7 CMMI7 t1xbtt
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%%DocumentPaperSizes: a4
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%%EndComments
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%DVIPSWebPage: (www.radicaleye.com)
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%DVIPSCommandLine: dvips node-contract.dvi -o
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%DVIPSParameters: dpi=600
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%DVIPSSource: TeX output 2008.12.23:0957
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%%BeginProcSet: tex.pro 0 0
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%!
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/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
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N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72
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mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0
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0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{
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landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize
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mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[
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matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round
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}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
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|
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exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse
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B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{
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%!
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%!
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||||
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||||
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||||
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||||
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noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop
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||||
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||||
currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts
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/psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x
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|
||||
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
|
||||
11 dict begin
|
||||
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|
||||
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||||
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||||
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|
||||
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||||
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||||
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||||
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
|
||||
11 dict begin
|
||||
/FontInfo 7 dict dup begin
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||||
/version (1.0) readonly def
|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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dup 49 /one put
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readonly def
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currentdict end
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||||
%%BeginFont: CMR10
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||||
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|
||||
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|
||||
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
|
||||
11 dict begin
|
||||
/FontInfo 7 dict dup begin
|
||||
/version (1.00B) readonly def
|
||||
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|
||||
/FullName (CMR10) readonly def
|
||||
/FamilyName (Computer Modern) readonly def
|
||||
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|
||||
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|
||||
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|
||||
end readonly def
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
dup 40 /parenleft put
|
||||
dup 41 /parenright put
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||||
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||||
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|
||||
currentdict end
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|
||||
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||||
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|
||||
\usepackage{varwidth}
|
||||
\usepackage{tikz}
|
||||
%\usetikzlibrary{arrows}
|
||||
\usetikzlibrary{automata}
|
||||
\usetikzlibrary{matrix}
|
||||
\usetikzlibrary{shapes}
|
||||
\usetikzlibrary{positioning}
|
||||
\usepackage{macros}
|
||||
|
||||
% fontes tt avec gras (mots-clés)
|
||||
\renewcommand{\ttdefault}{txtt}
|
||||
|
||||
% Figures tikz
|
||||
|
||||
\tikzstyle{hierarchical state} =
|
||||
[rectangle,
|
||||
round corners,
|
||||
draw=black]
|
||||
|
||||
\tikzstyle{ls node} =
|
||||
[rectangle,
|
||||
sharp corners,
|
||||
draw=black]
|
||||
|
||||
\tikzstyle{file} =
|
||||
[rectangle,
|
||||
sharp corners,
|
||||
draw=black]
|
||||
|
||||
\tikzstyle{tool} =
|
||||
[rectangle,
|
||||
rounded corners,
|
||||
draw=black]
|
||||
|
||||
\newenvironment{lsnode}[2][]{
|
||||
\node[% title
|
||||
ls node
|
||||
% fill=blue!90!black,
|
||||
] (title) {#2};% title text
|
||||
\node at (title.south west) [%
|
||||
ls node,
|
||||
anchor=north west,
|
||||
yshift=\pgflinewidth]
|
||||
\bgroup
|
||||
\begin{varwidth}{0.9\textwidth}
|
||||
\centering
|
||||
\begin{tikzpicture}[%
|
||||
node distance=8mm,
|
||||
pin distance=8mm,
|
||||
label distance=2mm,
|
||||
inner sep=1mm,
|
||||
anchor=center,
|
||||
pos=0.5,
|
||||
#1]% optional parameter(s)
|
||||
}{%
|
||||
\end{tikzpicture}
|
||||
\end{varwidth}
|
||||
\egroup;
|
||||
}
|
||||
|
||||
\newenvironment{contlsnode}[2][]{
|
||||
\node[% title
|
||||
ls node
|
||||
% fill=blue!90!black,
|
||||
] (title) {#2};% title text
|
||||
\node at (title.south west) [%
|
||||
ls node,rectangle split, rectangle split parts=3,
|
||||
anchor=north west,text badly ragged,
|
||||
yshift=\pgflinewidth]
|
||||
\bgroup
|
||||
% \begin{varwidth}{0.9\textwidth}
|
||||
% \centering
|
||||
% \begin{tikzpicture}[%
|
||||
% node distance=8mm,
|
||||
% pin distance=8mm,
|
||||
% label distance=-0.5mm,
|
||||
% inner sep=1mm,
|
||||
% anchor=center,
|
||||
% pos=0.5,
|
||||
% #1]% optional parameter(s)
|
||||
}{%
|
||||
% \end{tikzpicture}
|
||||
% \end{varwidth}
|
||||
\egroup;
|
||||
}
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{contlsnode}{$f(\ton{x}{,}) = (\ton{y}{,})$}
|
||||
$\Assume e_A$
|
||||
\nodepart{second}
|
||||
$\Guarantee e_G \With (\ton{c}{,})$
|
||||
\nodepart{third}
|
||||
\begin{varwidth}{\textwidth}
|
||||
\[
|
||||
\begin{array}{l}
|
||||
y_1 = f_1(\ton{x}{,},\ton{c}{,})\\
|
||||
\ldots\\
|
||||
y_n = f_n(\ton{x}{,},\ton{c}{,})\\
|
||||
\end{array}
|
||||
\]
|
||||
\end{varwidth}
|
||||
\end{contlsnode}
|
||||
\end{tikzpicture}
|
||||
|
||||
\end{document}
|
||||
@ -0,0 +1,486 @@
|
||||
%!PS-Adobe-2.0 EPSF-2.0
|
||||
%%Title: figures/pds-subcomponents.fig
|
||||
%%Creator: fig2dev Version 3.2 Patchlevel 5a
|
||||
%%CreationDate: Thu Jun 14 23:05:54 2012
|
||||
%%BoundingBox: 0 0 130 130
|
||||
%Magnification: 1.0000
|
||||
%%EndComments
|
||||
%%BeginProlog
|
||||
/MyAppDict 100 dict dup begin def
|
||||
/$F2psDict 200 dict def
|
||||
$F2psDict begin
|
||||
$F2psDict /mtrx matrix put
|
||||
/col-1 {0 setgray} bind def
|
||||
/col0 {0.000 0.000 0.000 srgb} bind def
|
||||
/col1 {0.000 0.000 1.000 srgb} bind def
|
||||
/col2 {0.000 1.000 0.000 srgb} bind def
|
||||
/col3 {0.000 1.000 1.000 srgb} bind def
|
||||
/col4 {1.000 0.000 0.000 srgb} bind def
|
||||
/col5 {1.000 0.000 1.000 srgb} bind def
|
||||
/col6 {1.000 1.000 0.000 srgb} bind def
|
||||
/col7 {1.000 1.000 1.000 srgb} bind def
|
||||
/col8 {0.000 0.000 0.560 srgb} bind def
|
||||
/col9 {0.000 0.000 0.690 srgb} bind def
|
||||
/col10 {0.000 0.000 0.820 srgb} bind def
|
||||
/col11 {0.530 0.810 1.000 srgb} bind def
|
||||
/col12 {0.000 0.560 0.000 srgb} bind def
|
||||
/col13 {0.000 0.690 0.000 srgb} bind def
|
||||
/col14 {0.000 0.820 0.000 srgb} bind def
|
||||
/col15 {0.000 0.560 0.560 srgb} bind def
|
||||
/col16 {0.000 0.690 0.690 srgb} bind def
|
||||
/col17 {0.000 0.820 0.820 srgb} bind def
|
||||
/col18 {0.560 0.000 0.000 srgb} bind def
|
||||
/col19 {0.690 0.000 0.000 srgb} bind def
|
||||
/col20 {0.820 0.000 0.000 srgb} bind def
|
||||
/col21 {0.560 0.000 0.560 srgb} bind def
|
||||
/col22 {0.690 0.000 0.690 srgb} bind def
|
||||
/col23 {0.820 0.000 0.820 srgb} bind def
|
||||
/col24 {0.500 0.190 0.000 srgb} bind def
|
||||
/col25 {0.630 0.250 0.000 srgb} bind def
|
||||
/col26 {0.750 0.380 0.000 srgb} bind def
|
||||
/col27 {1.000 0.500 0.500 srgb} bind def
|
||||
/col28 {1.000 0.630 0.630 srgb} bind def
|
||||
/col29 {1.000 0.750 0.750 srgb} bind def
|
||||
/col30 {1.000 0.880 0.880 srgb} bind def
|
||||
/col31 {1.000 0.840 0.000 srgb} bind def
|
||||
|
||||
end
|
||||
|
||||
% This junk string is used by the show operators
|
||||
/PATsstr 1 string def
|
||||
/PATawidthshow { % cx cy cchar rx ry string
|
||||
% Loop over each character in the string
|
||||
{ % cx cy cchar rx ry char
|
||||
% Show the character
|
||||
dup % cx cy cchar rx ry char char
|
||||
PATsstr dup 0 4 -1 roll put % cx cy cchar rx ry char (char)
|
||||
false charpath % cx cy cchar rx ry char
|
||||
/clip load PATdraw
|
||||
% Move past the character (charpath modified the
|
||||
% current point)
|
||||
currentpoint % cx cy cchar rx ry char x y
|
||||
newpath
|
||||
moveto % cx cy cchar rx ry char
|
||||
% Reposition by cx,cy if the character in the string is cchar
|
||||
3 index eq { % cx cy cchar rx ry
|
||||
4 index 4 index rmoveto
|
||||
} if
|
||||
% Reposition all characters by rx ry
|
||||
2 copy rmoveto % cx cy cchar rx ry
|
||||
} forall
|
||||
pop pop pop pop pop % -
|
||||
currentpoint
|
||||
newpath
|
||||
moveto
|
||||
} bind def
|
||||
/PATcg {
|
||||
7 dict dup begin
|
||||
/lw currentlinewidth def
|
||||
/lc currentlinecap def
|
||||
/lj currentlinejoin def
|
||||
/ml currentmiterlimit def
|
||||
/ds [ currentdash ] def
|
||||
/cc [ currentrgbcolor ] def
|
||||
/cm matrix currentmatrix def
|
||||
end
|
||||
} bind def
|
||||
% PATdraw - calculates the boundaries of the object and
|
||||
% fills it with the current pattern
|
||||
/PATdraw { % proc
|
||||
save exch
|
||||
PATpcalc % proc nw nh px py
|
||||
5 -1 roll exec % nw nh px py
|
||||
newpath
|
||||
PATfill % -
|
||||
restore
|
||||
} bind def
|
||||
% PATfill - performs the tiling for the shape
|
||||
/PATfill { % nw nh px py PATfill -
|
||||
PATDict /CurrentPattern get dup begin
|
||||
setfont
|
||||
% Set the coordinate system to Pattern Space
|
||||
PatternGState PATsg
|
||||
% Set the color for uncolored pattezns
|
||||
PaintType 2 eq { PATDict /PColor get PATsc } if
|
||||
% Create the string for showing
|
||||
3 index string % nw nh px py str
|
||||
% Loop for each of the pattern sources
|
||||
0 1 Multi 1 sub { % nw nh px py str source
|
||||
% Move to the starting location
|
||||
3 index 3 index % nw nh px py str source px py
|
||||
moveto % nw nh px py str source
|
||||
% For multiple sources, set the appropriate color
|
||||
Multi 1 ne { dup PC exch get PATsc } if
|
||||
% Set the appropriate string for the source
|
||||
0 1 7 index 1 sub { 2 index exch 2 index put } for pop
|
||||
% Loop over the number of vertical cells
|
||||
3 index % nw nh px py str nh
|
||||
{ % nw nh px py str
|
||||
currentpoint % nw nh px py str cx cy
|
||||
2 index oldshow % nw nh px py str cx cy
|
||||
YStep add moveto % nw nh px py str
|
||||
} repeat % nw nh px py str
|
||||
} for
|
||||
5 { pop } repeat
|
||||
end
|
||||
} bind def
|
||||
|
||||
% PATkshow - kshow with the current pattezn
|
||||
/PATkshow { % proc string
|
||||
exch bind % string proc
|
||||
1 index 0 get % string proc char
|
||||
% Loop over all but the last character in the string
|
||||
0 1 4 index length 2 sub {
|
||||
% string proc char idx
|
||||
% Find the n+1th character in the string
|
||||
3 index exch 1 add get % string proc char char+1
|
||||
exch 2 copy % strinq proc char+1 char char+1 char
|
||||
% Now show the nth character
|
||||
PATsstr dup 0 4 -1 roll put % string proc chr+1 chr chr+1 (chr)
|
||||
false charpath % string proc char+1 char char+1
|
||||
/clip load PATdraw
|
||||
% Move past the character (charpath modified the current point)
|
||||
currentpoint newpath moveto
|
||||
% Execute the user proc (should consume char and char+1)
|
||||
mark 3 1 roll % string proc char+1 mark char char+1
|
||||
4 index exec % string proc char+1 mark...
|
||||
cleartomark % string proc char+1
|
||||
} for
|
||||
% Now display the last character
|
||||
PATsstr dup 0 4 -1 roll put % string proc (char+1)
|
||||
false charpath % string proc
|
||||
/clip load PATdraw
|
||||
neewath
|
||||
pop pop % -
|
||||
} bind def
|
||||
% PATmp - the makepattern equivalent
|
||||
/PATmp { % patdict patmtx PATmp patinstance
|
||||
exch dup length 7 add % We will add 6 new entries plus 1 FID
|
||||
dict copy % Create a new dictionary
|
||||
begin
|
||||
% Matrix to install when painting the pattern
|
||||
TilingType PATtcalc
|
||||
/PatternGState PATcg def
|
||||
PatternGState /cm 3 -1 roll put
|
||||
% Check for multi pattern sources (Level 1 fast color patterns)
|
||||
currentdict /Multi known not { /Multi 1 def } if
|
||||
% Font dictionary definitions
|
||||
/FontType 3 def
|
||||
% Create a dummy encoding vector
|
||||
/Encoding 256 array def
|
||||
3 string 0 1 255 {
|
||||
Encoding exch dup 3 index cvs cvn put } for pop
|
||||
/FontMatrix matrix def
|
||||
/FontBBox BBox def
|
||||
/BuildChar {
|
||||
mark 3 1 roll % mark dict char
|
||||
exch begin
|
||||
Multi 1 ne {PaintData exch get}{pop} ifelse % mark [paintdata]
|
||||
PaintType 2 eq Multi 1 ne or
|
||||
{ XStep 0 FontBBox aload pop setcachedevice }
|
||||
{ XStep 0 setcharwidth } ifelse
|
||||
currentdict % mark [paintdata] dict
|
||||
/PaintProc load % mark [paintdata] dict paintproc
|
||||
end
|
||||
gsave
|
||||
false PATredef exec true PATredef
|
||||
grestore
|
||||
cleartomark % -
|
||||
} bind def
|
||||
currentdict
|
||||
end % newdict
|
||||
/foo exch % /foo newlict
|
||||
definefont % newfont
|
||||
} bind def
|
||||
% PATpcalc - calculates the starting point and width/height
|
||||
% of the tile fill for the shape
|
||||
/PATpcalc { % - PATpcalc nw nh px py
|
||||
PATDict /CurrentPattern get begin
|
||||
gsave
|
||||
% Set up the coordinate system to Pattern Space
|
||||
% and lock down pattern
|
||||
PatternGState /cm get setmatrix
|
||||
BBox aload pop pop pop translate
|
||||
% Determine the bounding box of the shape
|
||||
pathbbox % llx lly urx ury
|
||||
grestore
|
||||
% Determine (nw, nh) the # of cells to paint width and height
|
||||
PatHeight div ceiling % llx lly urx qh
|
||||
4 1 roll % qh llx lly urx
|
||||
PatWidth div ceiling % qh llx lly qw
|
||||
4 1 roll % qw qh llx lly
|
||||
PatHeight div floor % qw qh llx ph
|
||||
4 1 roll % ph qw qh llx
|
||||
PatWidth div floor % ph qw qh pw
|
||||
4 1 roll % pw ph qw qh
|
||||
2 index sub cvi abs % pw ph qs qh-ph
|
||||
exch 3 index sub cvi abs exch % pw ph nw=qw-pw nh=qh-ph
|
||||
% Determine the starting point of the pattern fill
|
||||
%(px, py)
|
||||
4 2 roll % nw nh pw ph
|
||||
PatHeight mul % nw nh pw py
|
||||
exch % nw nh py pw
|
||||
PatWidth mul exch % nw nh px py
|
||||
end
|
||||
} bind def
|
||||
|
||||
% Save the original routines so that we can use them later on
|
||||
/oldfill /fill load def
|
||||
/oldeofill /eofill load def
|
||||
/oldstroke /stroke load def
|
||||
/oldshow /show load def
|
||||
/oldashow /ashow load def
|
||||
/oldwidthshow /widthshow load def
|
||||
/oldawidthshow /awidthshow load def
|
||||
/oldkshow /kshow load def
|
||||
|
||||
% These defs are necessary so that subsequent procs don't bind in
|
||||
% the originals
|
||||
/fill { oldfill } bind def
|
||||
/eofill { oldeofill } bind def
|
||||
/stroke { oldstroke } bind def
|
||||
/show { oldshow } bind def
|
||||
/ashow { oldashow } bind def
|
||||
/widthshow { oldwidthshow } bind def
|
||||
/awidthshow { oldawidthshow } bind def
|
||||
/kshow { oldkshow } bind def
|
||||
/PATredef {
|
||||
MyAppDict begin
|
||||
{
|
||||
/fill { /clip load PATdraw newpath } bind def
|
||||
/eofill { /eoclip load PATdraw newpath } bind def
|
||||
/stroke { PATstroke } bind def
|
||||
/show { 0 0 null 0 0 6 -1 roll PATawidthshow } bind def
|
||||
/ashow { 0 0 null 6 3 roll PATawidthshow }
|
||||
bind def
|
||||
/widthshow { 0 0 3 -1 roll PATawidthshow }
|
||||
bind def
|
||||
/awidthshow { PATawidthshow } bind def
|
||||
/kshow { PATkshow } bind def
|
||||
} {
|
||||
/fill { oldfill } bind def
|
||||
/eofill { oldeofill } bind def
|
||||
/stroke { oldstroke } bind def
|
||||
/show { oldshow } bind def
|
||||
/ashow { oldashow } bind def
|
||||
/widthshow { oldwidthshow } bind def
|
||||
/awidthshow { oldawidthshow } bind def
|
||||
/kshow { oldkshow } bind def
|
||||
} ifelse
|
||||
end
|
||||
} bind def
|
||||
false PATredef
|
||||
% Conditionally define setcmykcolor if not available
|
||||
/setcmykcolor where { pop } {
|
||||
/setcmykcolor {
|
||||
1 sub 4 1 roll
|
||||
3 {
|
||||
3 index add neg dup 0 lt { pop 0 } if 3 1 roll
|
||||
} repeat
|
||||
setrgbcolor - pop
|
||||
} bind def
|
||||
} ifelse
|
||||
/PATsc { % colorarray
|
||||
aload length % c1 ... cn length
|
||||
dup 1 eq { pop setgray } { 3 eq { setrgbcolor } { setcmykcolor
|
||||
} ifelse } ifelse
|
||||
} bind def
|
||||
/PATsg { % dict
|
||||
begin
|
||||
lw setlinewidth
|
||||
lc setlinecap
|
||||
lj setlinejoin
|
||||
ml setmiterlimit
|
||||
ds aload pop setdash
|
||||
cc aload pop setrgbcolor
|
||||
cm setmatrix
|
||||
end
|
||||
} bind def
|
||||
|
||||
/PATDict 3 dict def
|
||||
/PATsp {
|
||||
true PATredef
|
||||
PATDict begin
|
||||
/CurrentPattern exch def
|
||||
% If it's an uncolored pattern, save the color
|
||||
CurrentPattern /PaintType get 2 eq {
|
||||
/PColor exch def
|
||||
} if
|
||||
/CColor [ currentrgbcolor ] def
|
||||
end
|
||||
} bind def
|
||||
% PATstroke - stroke with the current pattern
|
||||
/PATstroke {
|
||||
countdictstack
|
||||
save
|
||||
mark
|
||||
{
|
||||
currentpoint strokepath moveto
|
||||
PATpcalc % proc nw nh px py
|
||||
clip newpath PATfill
|
||||
} stopped {
|
||||
(*** PATstroke Warning: Path is too complex, stroking
|
||||
with gray) =
|
||||
cleartomark
|
||||
restore
|
||||
countdictstack exch sub dup 0 gt
|
||||
{ { end } repeat } { pop } ifelse
|
||||
gsave 0.5 setgray oldstroke grestore
|
||||
} { pop restore pop } ifelse
|
||||
newpath
|
||||
} bind def
|
||||
/PATtcalc { % modmtx tilingtype PATtcalc tilematrix
|
||||
% Note: tiling types 2 and 3 are not supported
|
||||
gsave
|
||||
exch concat % tilingtype
|
||||
matrix currentmatrix exch % cmtx tilingtype
|
||||
% Tiling type 1 and 3: constant spacing
|
||||
2 ne {
|
||||
% Distort the pattern so that it occupies
|
||||
% an integral number of device pixels
|
||||
dup 4 get exch dup 5 get exch % tx ty cmtx
|
||||
XStep 0 dtransform
|
||||
round exch round exch % tx ty cmtx dx.x dx.y
|
||||
XStep div exch XStep div exch % tx ty cmtx a b
|
||||
0 YStep dtransform
|
||||
round exch round exch % tx ty cmtx a b dy.x dy.y
|
||||
YStep div exch YStep div exch % tx ty cmtx a b c d
|
||||
7 -3 roll astore % { a b c d tx ty }
|
||||
} if
|
||||
grestore
|
||||
} bind def
|
||||
/PATusp {
|
||||
false PATredef
|
||||
PATDict begin
|
||||
CColor PATsc
|
||||
end
|
||||
} bind def
|
||||
|
||||
% right45
|
||||
11 dict begin
|
||||
/PaintType 1 def
|
||||
/PatternType 1 def
|
||||
/TilingType 1 def
|
||||
/BBox [0 0 1 1] def
|
||||
/XStep 1 def
|
||||
/YStep 1 def
|
||||
/PatWidth 1 def
|
||||
/PatHeight 1 def
|
||||
/Multi 2 def
|
||||
/PaintData [
|
||||
{ clippath } bind
|
||||
{ 20 20 true [ 20 0 0 -20 0 20 ]
|
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% inner sep=1mm,
|
||||
% anchor=center,
|
||||
% pos=0.5,
|
||||
% #1]% optional parameter(s)
|
||||
}{%
|
||||
% \end{tikzpicture}
|
||||
% \end{varwidth}
|
||||
\egroup;
|
||||
}
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{lsnode}{$h(a,b) = y$}
|
||||
\begin{scope}[node distance=2cm,auto,initial text=,initial where=left]
|
||||
\draw node[state,initial,label={right:$y=\False$}] (Idle) {Idle};
|
||||
\draw node[state,label={right:$y=\True$}] (Active) [below of=Idle] {Act};
|
||||
\path[->] (Idle) edge [bend left] node {$a\land b$} (Active)
|
||||
(Active) edge [bend left] node {$a$} (Idle);
|
||||
\end{scope}
|
||||
\end{lsnode}
|
||||
\end{tikzpicture}
|
||||
|
||||
|
||||
\end{document}
|
||||
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@ -0,0 +1,173 @@
|
||||
\documentclass[a4paper]{article}
|
||||
|
||||
\usepackage[T1]{fontenc}
|
||||
\usepackage[utf8]{inputenc}
|
||||
\usepackage[a4paper]{geometry}
|
||||
%\usepackage[francais]{babel}
|
||||
%\usepackage{subfigure}
|
||||
%\usepackage{fancyvrb}
|
||||
%\usepackage{fancyhdr}
|
||||
\usepackage[hypertex,ps2pdf]{hyperref}
|
||||
\usepackage{array}
|
||||
\usepackage{xcolor}
|
||||
%\usepackage{comment}
|
||||
\usepackage{lmodern}
|
||||
\usepackage{varwidth}
|
||||
\usepackage{tikz}
|
||||
%\usetikzlibrary{arrows}
|
||||
\usetikzlibrary{automata}
|
||||
\usetikzlibrary{matrix}
|
||||
\usetikzlibrary{shapes}
|
||||
\usetikzlibrary{positioning}
|
||||
\usepackage{macros}
|
||||
|
||||
% fontes tt avec gras (mots-cles)
|
||||
\renewcommand{\ttdefault}{txtt}
|
||||
|
||||
% Figures tikz
|
||||
|
||||
\tikzstyle{hierarchical state} =
|
||||
[rectangle,
|
||||
round corners,
|
||||
draw=black]
|
||||
|
||||
\tikzstyle{ls node} =
|
||||
[rectangle,
|
||||
sharp corners,
|
||||
draw=black]
|
||||
|
||||
\tikzstyle{file} =
|
||||
[rectangle,
|
||||
sharp corners,
|
||||
draw=black]
|
||||
|
||||
\tikzstyle{tool} =
|
||||
[rectangle,
|
||||
rounded corners,
|
||||
draw=black]
|
||||
|
||||
\newenvironment{lsnode}[2][]{
|
||||
\node[% title
|
||||
ls node
|
||||
% fill=blue!90!black,
|
||||
] (title) {#2};% title text
|
||||
\node at (title.south west) [%
|
||||
ls node,
|
||||
anchor=north west,
|
||||
yshift=\pgflinewidth]
|
||||
\bgroup
|
||||
\begin{varwidth}{0.9\textwidth}
|
||||
\centering
|
||||
\begin{tikzpicture}[%
|
||||
node distance=8mm,
|
||||
pin distance=8mm,
|
||||
label distance=2mm,
|
||||
inner sep=1mm,
|
||||
anchor=center,
|
||||
pos=0.5,
|
||||
#1]% optional parameter(s)
|
||||
}{%
|
||||
\end{tikzpicture}
|
||||
\end{varwidth}
|
||||
\egroup;
|
||||
}
|
||||
|
||||
\newenvironment{contlsnode}[2][]{
|
||||
\node[% title
|
||||
ls node
|
||||
% fill=blue!90!black,
|
||||
] (title) {#2};% title text
|
||||
\node at (title.south west) [%
|
||||
ls node,rectangle split, rectangle split parts=3,
|
||||
anchor=north west,text badly ragged,
|
||||
yshift=\pgflinewidth]
|
||||
\bgroup
|
||||
% \begin{varwidth}{0.9\textwidth}
|
||||
% \centering
|
||||
% \begin{tikzpicture}[%
|
||||
% node distance=8mm,
|
||||
% pin distance=8mm,
|
||||
% label distance=-0.5mm,
|
||||
% inner sep=1mm,
|
||||
% anchor=center,
|
||||
% pos=0.5,
|
||||
% #1]% optional parameter(s)
|
||||
}{%
|
||||
% \end{tikzpicture}
|
||||
% \end{varwidth}
|
||||
\egroup;
|
||||
}
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\centering
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{lsnode}{$h(a,b) = y$}
|
||||
\begin{scope}[node distance=2cm,auto,initial text=,initial where=left]
|
||||
\draw node[state,initial,label={right:$y=\False$}] (Idle) {Idle};
|
||||
\draw node[state,label={right:$y=\True$}] (Active) [below of=Idle] {Act};
|
||||
\path[->] (Idle) edge [bend left] node {$a\land b$} (Active)
|
||||
(Active) edge [bend left] node {$a$} (Idle);
|
||||
\end{scope}
|
||||
\end{lsnode}
|
||||
\end{tikzpicture}
|
||||
|
||||
\medskip
|
||||
|
||||
\newsavebox{\boite}
|
||||
\begin{lrbox}{\boite}
|
||||
\begin{varwidth}{\textwidth}
|
||||
\begin{tikzpicture}
|
||||
\matrix (m) [matrix of nodes] {
|
||||
\node{$y_1 = h(a,c)$};\\
|
||||
\node{$y_2 = h(b,d)$};\\
|
||||
\node{$y = y_1\land y_2$};\\
|
||||
};
|
||||
\draw [dashed] (m-1-1.south west) -- (m-1-1.south east);
|
||||
\draw [dashed] (m-2-1.south west) -- (m-2-1.south east);
|
||||
\end{tikzpicture}
|
||||
\end{varwidth}
|
||||
\end{lrbox}
|
||||
|
||||
|
||||
% $\Assume \True$
|
||||
% \nodepart{second}
|
||||
% $\Enforce (\Not y) \With (c,d)$
|
||||
% \nodepart{third}
|
||||
% \usebox{\boite}
|
||||
|
||||
\begin{tikzpicture}
|
||||
% \begin{lsnode}{$g(a,b) = y$}
|
||||
% \g{a}{b}{y}
|
||||
% \end{lsnode}
|
||||
\begin{lsnode}{$g(a,b) = y$}
|
||||
\matrix (m) [matrix of nodes] {
|
||||
\node{$y_1 = h(a,c)$};\\
|
||||
\node{$y_2 = h(b,d)$};\\
|
||||
\node{$y = y_1\land y_2$};\\
|
||||
};
|
||||
\draw [dashed] (m-1-1.south west) -- (m-1-1.south east);
|
||||
\draw [dashed] (m-2-1.south west) -- (m-2-1.south east);
|
||||
\end{lsnode}
|
||||
\end{tikzpicture}
|
||||
|
||||
\medskip
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{lsnode}{$f(c,d) = y$}
|
||||
\begin{scope}[node distance=3cm,auto,initial text=,initial where=left,pos=0.5]
|
||||
\draw node[state,initial,label={above:$y=\False$}] (A) {A};
|
||||
\draw node[state,label={below left:$y=\True$}] (C) [below of=A] {C};
|
||||
\draw node[state,label={right:$y=g(c,d)$}] (B) [right of=C] {B};
|
||||
\path[->] (A) edge [bend left] node {$c$} (B)
|
||||
(B) edge [bend left] node {$c\land d$} (C)
|
||||
(C) edge [bend left] node {$d$} (A);
|
||||
\end{scope}
|
||||
\end{lsnode}
|
||||
\end{tikzpicture}
|
||||
|
||||
\end{document}
|
||||
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|
||||
\documentclass[a4paper]{article}
|
||||
|
||||
\usepackage[T1]{fontenc}
|
||||
\usepackage[utf8]{inputenc}
|
||||
\usepackage[a4paper]{geometry}
|
||||
%\usepackage[francais]{babel}
|
||||
%\usepackage{subfigure}
|
||||
%\usepackage{fancyvrb}
|
||||
%\usepackage{fancyhdr}
|
||||
\usepackage[hypertex,ps2pdf]{hyperref}
|
||||
\usepackage{array}
|
||||
\usepackage{xcolor}
|
||||
%\usepackage{comment}
|
||||
%\usepackage{lmodern}
|
||||
\usepackage{varwidth}
|
||||
%\usepackage{tikz}
|
||||
%\usetikzlibrary{arrows}
|
||||
%\usetikzlibrary{automata}
|
||||
%\usetikzlibrary{matrix}
|
||||
%\usetikzlibrary{shapes}
|
||||
%\usetikzlibrary{positioning}
|
||||
\usepackage{macros}
|
||||
|
||||
% fontes tt avec gras (mots-clés)
|
||||
\renewcommand{\ttdefault}{txtt}
|
||||
|
||||
\lstset{
|
||||
language=Heptagon,% numbers=left, numberstyle=\small,
|
||||
basicstyle=\normalsize\ttfamily,captionpos=b,
|
||||
frame={tb}, rulesep=1pt, columns=fullflexible,
|
||||
xleftmargin=1cm, xrightmargin=1cm,
|
||||
mathescape=true
|
||||
}
|
||||
|
||||
\title{Heptagon/BZR manual}
|
||||
|
||||
\author{}
|
||||
|
||||
%\date{}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\maketitle
|
||||
|
||||
\section{Introduction and tutorial}
|
||||
\label{sec:intro}
|
||||
|
||||
\subsection{Heptagon: short presentation}
|
||||
\label{sec:hept-short-pres}
|
||||
|
||||
Heptagon is a synchronous dataflow language, with a syntax allowing the
|
||||
expression of control structures (e.g., switch or mode automata).
|
||||
|
||||
A typical Heptagon program will take as input a sequence of values, and will
|
||||
output a sequence of values. Then, variables (inputs, outputs or locals) as well
|
||||
as constants are actually variable or constant \emph{streams}. The usual
|
||||
operators (e.g., arithmetic or Boolean operators) are applied pointwise on these
|
||||
sequences of values.
|
||||
|
||||
For example, the Heptagon program below is composed of one node \texttt{plus},
|
||||
performing the pointwise sum of its two integer inputs:
|
||||
|
||||
\begin{lstlisting}
|
||||
node plus(x:int,y:int) returns (z:int)
|
||||
let
|
||||
z = x + y;
|
||||
tel
|
||||
\end{lstlisting}
|
||||
|
||||
\texttt{x} and \texttt{y} are the inputs of the node \texttt{plus}; \texttt{z}
|
||||
is the output. \texttt{x}, \texttt{y} and \texttt{z} are of type \texttt{int},
|
||||
denoting integer \emph{streams}. \texttt{z} is defined by the equation
|
||||
\lstinline|z = x + y|.
|
||||
|
||||
An execution of the node \texttt{plus} can then be:
|
||||
\[
|
||||
\begin{streams}{5}
|
||||
x & 1 & 2 & 3 & 4 & \ldots\\\hline
|
||||
y & 1 & 2 & 1 & 2 & \ldots\\\hline
|
||||
\mathtt{plus}(x,y) & 2 & 4 & 4 & 6 & \ldots\\
|
||||
\end{streams}
|
||||
\]
|
||||
|
||||
\subsection{Compilation}
|
||||
\label{sec:compilation}
|
||||
|
||||
The Heptagon compiler is named \texttt{heptc}. Its list of options is available by
|
||||
:
|
||||
|
||||
\begin{alltt}
|
||||
> heptc -help
|
||||
\end{alltt}
|
||||
|
||||
Every options described below are cumulable.
|
||||
|
||||
Assuming that the program to compile is in a file named \texttt{example.ept},
|
||||
then one can compile it by typing :
|
||||
|
||||
\begin{alltt}
|
||||
> heptc example.ept
|
||||
\end{alltt}
|
||||
|
||||
However, such compilation will only perform standard analysis (such as typing,
|
||||
causality, scheduling) and output intermediate object code, but not any final or
|
||||
executable code.
|
||||
|
||||
The Heptagon compiler can thus generate code in some general languages, in order
|
||||
to obtain either a standalone executable, or a linkable library. The target
|
||||
language must then be given by the \texttt{-target} option:
|
||||
|
||||
\begin{alltt}
|
||||
> heptc -target <language> example.ept
|
||||
\end{alltt}
|
||||
|
||||
Where \texttt{<language>} is the name of the target language. For now, available
|
||||
languages are C (\texttt{c} option) and Java (\texttt{java} option).
|
||||
|
||||
\subsection{Generated code}
|
||||
\label{sec:generated-code}
|
||||
|
||||
The generic generated code consists, for each node, of two imperative functions:
|
||||
\begin{itemize}
|
||||
\item one ``reset'' function, used to reset the internal memory of the node;
|
||||
\item one ``step'' function, taking as input the nodes inputs, and whose call
|
||||
performs one step of the node, updates the memory, and outputs the nodes
|
||||
outputs.
|
||||
\end{itemize}
|
||||
|
||||
A standard way to execute Heptagon program is to compile the generated files
|
||||
together with a main program of the following scheme :
|
||||
|
||||
\begin{alltt}
|
||||
call the \textit{reset} function
|
||||
for each instant
|
||||
get the \textit{inputs} values
|
||||
\textit{outputs} \(\leftarrow\) \textit{step(inputs)}
|
||||
do something with \textit{outputs} values
|
||||
\end{alltt}
|
||||
|
||||
Appendix~\ref{sec:app-generated-code} give specific technical details for each target language.
|
||||
|
||||
|
||||
\subsection{Simulation}
|
||||
\label{sec:simulation}
|
||||
|
||||
A graphical simulator is available: \texttt{hepts}. It allows the user to simulate
|
||||
one node by providing a graphical window, where simulation steps can be
|
||||
performed by providing inputs of the simulated node.
|
||||
|
||||
This simulator tool interacts with an executable, typically issued of Heptagon
|
||||
programs compilation, and which await on the standard input the list of the
|
||||
simulated node's inputs, and prints its outputs on the standard output. Such
|
||||
executable, for the simulation of the node \texttt{f}, can be obtained by the
|
||||
\texttt{-s <node>} option:
|
||||
\begin{alltt}
|
||||
> heptc -target c -s f example.ept
|
||||
\end{alltt}
|
||||
|
||||
We can then directly compile the generated C program (whose main function stand
|
||||
in the \texttt{\_main.c} file):
|
||||
\begin{alltt}
|
||||
> cd example_c
|
||||
> gcc -Wall -c example.c
|
||||
> gcc -Wall -c _main.c
|
||||
> gcc -o f_sim _main.o example.o # \text{executable creation}
|
||||
\end{alltt}
|
||||
|
||||
This executable \texttt{f\_sim} can then be used with the graphical simulator
|
||||
\texttt{hepts}, which takes as argument:
|
||||
\begin{itemize}
|
||||
\item The name of the module (capitalized name of the program without the
|
||||
\texttt{.ept} extension),
|
||||
\item the name of the simulated node,
|
||||
\item the path to the executable \texttt{f\_sim}.
|
||||
\end{itemize}
|
||||
\begin{alltt}
|
||||
> hepts -mod Example -node f -exec example_c/f_sim
|
||||
\end{alltt}
|
||||
|
||||
\section{Syntax and informal semantics}
|
||||
\label{sec:synt-infor-sem}
|
||||
|
||||
Heptagon programs are synchronous Moore machines, with parallel and hierarchical
|
||||
composition. The states of such machines define dataflow equations. The
|
||||
Figure~\ref{fig:mixed-state-dataflow-example} gives an example of such program.
|
||||
|
||||
\begin{figure}[htbp]
|
||||
\centering
|
||||
\includegraphics{figures/mixed-state-df}
|
||||
\caption{Mixed state and dataflow example}
|
||||
\label{fig:mixed-state-dataflow-example}
|
||||
\end{figure}
|
||||
|
||||
\subsection{Nodes}
|
||||
\label{sec:nodes}
|
||||
|
||||
Heptagon programs are structured in \emph{nodes}: a program is a sequence of
|
||||
nodes. A node is a subprogram with a name $f$, inputs $\ton{x}{,}$, outputs
|
||||
$\ton[1][p]{y}{,}$, local variables $\ton[1][q]{z}{,}$ and declarations
|
||||
$D$. $y_i$ and $z_i$ variables are to be defined in $D$, using operations
|
||||
between values of $x_j$, $y_j$, $z_j$. Figure~\ref{fig:syntax-nodes} gives the
|
||||
syntax of node definitions, together with a graphical syntax used in this
|
||||
manuel\footnote{declaration of local variables are mandatory for the compiler in
|
||||
the textual syntax, however we will sometimes omit it in the graphical syntax
|
||||
for the sake of brevity}. The declaration of one variable comes with its type
|
||||
($t_i$, $t'_i$ and $t''_i$ being the type of respectively $x_i$, $y_i$ and
|
||||
$z_i$).
|
||||
|
||||
\begin{figure}[htb]
|
||||
\centering
|
||||
% \begin{varwidth}{\linewidth}
|
||||
\[
|
||||
\begin{array}{|c|c}
|
||||
\cline{1-1}
|
||||
f(x_1:t_1,\ldots,x_n:t_n) = y_1:t'_1,\ldots,y_p:t'_p & \\\hline
|
||||
\multicolumn{2}{|c|}{}\\
|
||||
\multicolumn{2}{|c|}{D}\\
|
||||
\multicolumn{2}{|c|}{}\\\hline
|
||||
\end{array}
|
||||
\]
|
||||
% \end{varwidth}\hspace{1cm}
|
||||
% \begin{varwidth}{\linewidth}
|
||||
\begin{lstlisting}
|
||||
node f(x$_1$:t$_1$;$\ldots$;x$_n$:t$_n$) returns (y$_1$:t$'_1$,$\ldots$,y$_p$:t$'_p$)
|
||||
var z$_1$:t$''_1$,$\ldots$,z$_q$:t$''_q$;
|
||||
let
|
||||
D
|
||||
tel
|
||||
\end{lstlisting}
|
||||
% \end{varwidth}
|
||||
\caption{Graphical and textual syntax of node definition}
|
||||
\label{fig:syntax-nodes}
|
||||
\end{figure}
|
||||
|
||||
The program of the Figure~\ref{fig:mixed-state-dataflow-example} can thus be
|
||||
structured as the semantically equivalent program of the
|
||||
Figure~\ref{fig:struct-prog-example}. The Figure~\ref{fig:textual-syntax} gives
|
||||
the textual syntax of this program.
|
||||
|
||||
|
||||
\begin{figure}[htbp]
|
||||
\centering
|
||||
\includegraphics{figures/struct-pg}
|
||||
\caption{Structured program example}
|
||||
\label{fig:struct-prog-example}
|
||||
\end{figure}
|
||||
|
||||
\begin{figure}[htbp]
|
||||
\centering
|
||||
|
||||
\begin{lstlisting}
|
||||
node h(a:bool) returns (y:bool)
|
||||
let
|
||||
automaton
|
||||
state Idle
|
||||
do y = false
|
||||
until a then Active
|
||||
state Active
|
||||
do y = true
|
||||
until a then Idle
|
||||
end
|
||||
tel
|
||||
|
||||
node g (a,b:bool) returns (y:bool)
|
||||
var y1,y2 : bool;
|
||||
let
|
||||
y = y1 & y2;
|
||||
y1 = h(a);
|
||||
y2 = h(b);
|
||||
tel
|
||||
|
||||
node f (c,d:bool) returns (y:bool)
|
||||
let
|
||||
automaton
|
||||
state A
|
||||
do y = false
|
||||
until c then B
|
||||
state B
|
||||
do y = g(c,d)
|
||||
until c & d then C
|
||||
state C
|
||||
do y = true
|
||||
until d then A
|
||||
end
|
||||
tel
|
||||
\end{lstlisting}
|
||||
|
||||
\caption{Textual syntax}
|
||||
\label{fig:textual-syntax}
|
||||
\end{figure}
|
||||
|
||||
|
||||
Heptagon allows to distinguish, by mean of clocks and control structures (switch,
|
||||
automata), for declarations and expressions, the discrete instants of
|
||||
activation, when the declarations and expressions are computed and progress
|
||||
toward further states, and other instants when neither computation nor
|
||||
progression are performed.
|
||||
|
||||
\subsection{Expressions}
|
||||
\label{sec:expressions}
|
||||
|
||||
\subsubsection{Values and combinatorial operations}
|
||||
\label{sec:variables-constants}
|
||||
|
||||
Heptagon is a dataflow language, i.e., every value, variable or constant, is
|
||||
actually a stream of value. The usual operators (e.g., arithmetic or Boolean
|
||||
operators) are applied pointwise on these sequences of values, as combinatorial
|
||||
operations (as opposed to \emph{sequential} operations, taking into account the
|
||||
current \emph{state} of the program: see delays in Section~\ref{sec:delays}).
|
||||
|
||||
Thus, \texttt{x} denotes the stream $x_1.x_2.\ldots$, and \lstinline|x + y| is
|
||||
the stream defined by $($\lstinline|x + y|$)_i=x_i+y_i$.
|
||||
|
||||
\[
|
||||
\begin{streams}{5}
|
||||
\mathtt{x} & x_1 & x_2 & x_3 & x_4 & \ldots\\\hline
|
||||
\mathtt{y} & y_1 & y_2 & y_3 & y_4 & \ldots\\\hline
|
||||
\mathtt{x + y} & x_1+y_1 & x_2+y_2 & x_3+y_3 & x_4+y_4 & \ldots\\
|
||||
\end{streams}
|
||||
\]
|
||||
|
||||
|
||||
\subsubsection{Delays}
|
||||
\label{sec:delays}
|
||||
|
||||
Delays are the way to introduce some state in a Heptagon program.
|
||||
|
||||
\begin{itemize}
|
||||
\item \lstinline|pre x| gives the value of \texttt{x} at the preceding
|
||||
instant. The value at the first instant is undefined.
|
||||
\item \lstinline|x -> y| takes the value of \texttt{x} at the first instant,
|
||||
and then the value of \texttt{y};
|
||||
\item \lstinline|x fby y| is equivalent to \lstinline|x -> pre y|.
|
||||
\end{itemize}
|
||||
|
||||
\[
|
||||
\begin{streams}{3}
|
||||
\text{\lstinline|x|} & x_1 & x_2 & x_3 \\
|
||||
\hline
|
||||
\text{\lstinline|y|} & y_1 & y_2 & y_3 \\
|
||||
\hline
|
||||
\text{\lstinline|pre x|} & \perp & x_1 & x_2 \\
|
||||
\hline
|
||||
\text{\lstinline|x -> y|} & x_1 & y_2 & y_3 \\
|
||||
\hline
|
||||
\text{\lstinline|x fby y|} & x_1 & y_1 & y_2 \\
|
||||
\end{streams}
|
||||
\]
|
||||
|
||||
|
||||
\subsection{Declarations}
|
||||
\label{sec:declarations}
|
||||
|
||||
A declaration $D$ can be either :
|
||||
\begin{itemize}
|
||||
\item an equation $x = e$, defining variable $x$ by the expression $e$ at each
|
||||
activation instants ;
|
||||
\item a node application $(\tonp{y}{,}) = f(\ton{e}{,})$, defining variables
|
||||
$\tonp{y}{,}$ by application of the node $f$ with values $\ton{e}{,}$ at each
|
||||
activation instants ;
|
||||
\item parallel declarations of $D_1$ and $D_2$, noted graphically $D_1\vdots
|
||||
D_2$ and textually $D_1\Pv D_2$. Variables defined in $D_1$ and $D_2$ must be
|
||||
exclusive. The activation of this parallel declaration activate both $D_1$ and
|
||||
$D_2$, which are both computed and both progress ;
|
||||
\item a switch control structure ;
|
||||
\item an automaton.
|
||||
\end{itemize}
|
||||
|
||||
\subsubsection{Switch control structures}
|
||||
\label{sec:switch-contr-struct}
|
||||
|
||||
The \texttt{switch} control structure allows to controls which equations are
|
||||
evaluated:
|
||||
|
||||
\begin{lstlisting}
|
||||
type modes = Up | Down
|
||||
|
||||
node two(m:modes;v:int) returns (o:int)
|
||||
var last x:int = 0;
|
||||
let
|
||||
o = x;
|
||||
switch m
|
||||
| Up do x = last x + v
|
||||
| Down do x = last x - v
|
||||
end
|
||||
tel
|
||||
\end{lstlisting}
|
||||
|
||||
The \texttt{last} keyword defines a memory which is shared by the different
|
||||
modes. Thus, \lstinline|last x| is the value of the variable \texttt{x} in the
|
||||
previous instant, whichever was the activated mode.
|
||||
|
||||
\subsubsection{Automata}
|
||||
\label{sec:automata}
|
||||
|
||||
An automaton is a set of states (one of which being the initial one), and
|
||||
transitions between these states, triggered by Boolean expressions. A
|
||||
declaration is associated to each state. The set of variables defined by the
|
||||
automaton is the union, not necessarily disjoint (variables can have different
|
||||
definitions in different states, and can be partially defined : in this case,
|
||||
when the variable is not defined in an active state, the previous value of this
|
||||
variable is taken.
|
||||
|
||||
At each automaton activation instant, one and only one state of this automaton
|
||||
is active (the initial one at the first activation instant). The declaration
|
||||
associated to this active state is itself activated and progress in this
|
||||
activation instant.
|
||||
|
||||
\paragraph{Example}
|
||||
\label{sec:example}
|
||||
|
||||
The following example gives the node \texttt{updown}. This node is defined by an
|
||||
automaton composed of two states:
|
||||
\begin{itemize}
|
||||
\item the state \texttt{Up} gives to \texttt{x} its previous value augmented of 1
|
||||
\item the state \texttt{Down} gives to \texttt{x} its previous value diminued of 1
|
||||
\end{itemize}
|
||||
This automaton comprises two transitions:
|
||||
\begin{itemize}
|
||||
\item it goes from \texttt{Up} (the initial state) to \texttt{Down} when
|
||||
\texttt{x} becomes greater or equal than 10;
|
||||
\item it goes from \texttt{Down} to \texttt{Up} when \texttt{x} becomes less or
|
||||
equal 0.
|
||||
\end{itemize}
|
||||
|
||||
\begin{lstlisting}
|
||||
node updown() returns (y:int)
|
||||
var last x:int = 0;
|
||||
let
|
||||
y = x;
|
||||
automaton
|
||||
state Up
|
||||
do x = last x + 1
|
||||
until x >= 10 then Down
|
||||
state Down
|
||||
do x = last x - 1
|
||||
until x <= 0 then Up
|
||||
end
|
||||
tel
|
||||
\end{lstlisting}
|
||||
|
||||
\[
|
||||
\begin{streams}{14}
|
||||
\text{current state} & Up & Up & Up & Up & Up & Up & Up & Up & Up & Up & Down & Down & Down & \ldots\\\hline
|
||||
\mathtt{y} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 9 & 8 & 7 & \ldots\\\hline
|
||||
\end{streams}
|
||||
\]
|
||||
|
||||
Expressions on outgoing transitions of this active state are
|
||||
evaluated, so as to compute the next active state : these are weak
|
||||
transitions. Transitions are evaluated in declaration order, in the textual
|
||||
syntax. If no transition can be triggered, then the current state is the next
|
||||
active state.
|
||||
|
||||
|
||||
|
||||
|
||||
\section{BZR: Contracts for controller synthesis}
|
||||
\label{sec:extens-with-contr}
|
||||
|
||||
Contracts are an extension of the Heptagon language, so as to allow to perform
|
||||
discrete controller synthesis on Heptagon programs. The extended language is
|
||||
named BZR.
|
||||
|
||||
We associate to each node a \emph{contract}, which is a program associated with
|
||||
two outputs :
|
||||
\begin{itemize}
|
||||
\item an output $e_A$ representing the environment model ;
|
||||
\item an invariance objective $e_G$ ;
|
||||
\item a set $\set{\ton{c}{,}}$ of controllable variables used for ensuring this objective.
|
||||
\end{itemize}
|
||||
|
||||
This contract means that the node will be controlled, i.e., that values will be
|
||||
given to $\ton{c}{,}$ such that, given any input trace yielding $e_A$, the
|
||||
output trace will yield the true value for $e_G$.
|
||||
|
||||
\begin{center}
|
||||
\includegraphics{figures/node-contract}
|
||||
\end{center}
|
||||
|
||||
In the textual syntax, the contracts are noted :
|
||||
\begin{lstlisting}
|
||||
node f(x$_1$:t$_1$;$\ldots$;x$_n$:t$_n$) returns (y$_1$:t$'_1$;$\ldots$;y$_p$:t$'_p$)
|
||||
contract
|
||||
var $\ldots$
|
||||
let
|
||||
$\ldots$
|
||||
tel
|
||||
assume $e_A$
|
||||
enforce $e_G$
|
||||
with (c$_1$:t$''_1$;$\ldots$;c$_q$:t$''_n$)
|
||||
|
||||
var $\ldots$
|
||||
let
|
||||
y$_1$ = f$_1$($\ton{\mathtt{x}}{,},\ton[1][q]{\mathtt{c}}{,}$);
|
||||
$\vdots$
|
||||
y$_p$ = f$_p$($\ton{\mathtt{x}}{,},\ton[1][q]{\mathtt{c}}{,}$);
|
||||
tel
|
||||
\end{lstlisting}
|
||||
|
||||
\section{BZR Running Example: Multi-task System}
|
||||
\label{sec:multi-task-system}
|
||||
|
||||
\subsection{Delayable Tasks}
|
||||
\label{sec:delayable-tasks}
|
||||
|
||||
|
||||
|
||||
We consider a multi-task system composed of $n$ delayable
|
||||
tasks. Figure~\ref{fig:del-task} shows a delayable task. A delayable task takes
|
||||
three inputs \texttt{r}, \texttt{c} and \texttt{e}: \texttt{r} is the task
|
||||
launch request from the environment, \texttt{e} is the end request, and
|
||||
\texttt{c} is meant to be a controllable input controlling whether, on request,
|
||||
the task is actually launched (and therefore goes in the active state), or
|
||||
delayed (and then forced by the controller to go in the waiting state by stating
|
||||
the false value to \texttt{c}). This node outputs a unique boolean \texttt{act}
|
||||
which is true when the task is in the active state.
|
||||
|
||||
\begin{figure}[htb]
|
||||
\begin{lstlisting}
|
||||
node delayable(r,c,e:bool) returns (act:bool)
|
||||
let
|
||||
automaton
|
||||
state Idle
|
||||
do act = false
|
||||
until r & c then Active
|
||||
| a & not c then Wait
|
||||
state Wait
|
||||
do act = false
|
||||
until c then Active
|
||||
state Active
|
||||
do act = true
|
||||
until e then Idle
|
||||
end
|
||||
tel
|
||||
\end{lstlisting}
|
||||
\caption{Delayable task}
|
||||
\label{fig:del-task}
|
||||
\end{figure}
|
||||
|
||||
The Figure~\ref{fig:n-del-task} shows then a node \texttt{ntasks} where $n$
|
||||
delayable tasks have been put in parallel. The tasks are inlined so as to be
|
||||
able to perform DSC on this node, taking into account the tasks' states. Until
|
||||
now, the only interest of modularity is, from the programmer's point of view, to
|
||||
be able to give once the delayable task code.
|
||||
|
||||
\begin{figure}[htb]
|
||||
\begin{lstlisting}
|
||||
node ntasks($\ton{\mathtt{r}}{,},\ton{\mathtt{e}}{,}$:bool)
|
||||
returns ($\ton{\mathtt{a}}{,}$:bool)
|
||||
contract
|
||||
let
|
||||
ca$_{1}$ = a$_{1}$ & (a$_{2}$ or $\ldots$ or a$_{n}$);
|
||||
$\vdots$
|
||||
ca$_{n-1}$ = a$_{n-1}$ & a$_{n}$;
|
||||
tel
|
||||
enforce not (ca$_{1}$ or \ldots or ca$_{n-1}$)
|
||||
with ($\ton{\mathtt{c}}{,}$:bool)
|
||||
let
|
||||
a$_{1}$ = inlined delayable(r$_{1}$,c$_{1}$,e$_{1}$);
|
||||
$\vdots$
|
||||
a$_{n}$ = inlined delayable(r$_{n}$,c$_{n}$,e$_{n}$);
|
||||
tel
|
||||
\end{lstlisting}
|
||||
\caption{\texttt{ntasks} node: $n$ delayable tasks in parallel}
|
||||
\label{fig:n-del-task}
|
||||
\end{figure}
|
||||
|
||||
This \texttt{ntasks} node is provided with a contract, stating that its
|
||||
composing tasks are exclusive, i.e., that there are no two tasks in the active
|
||||
state at the same instant. This contract is enforced with the help of the
|
||||
controllable inputs $c_i$.
|
||||
|
||||
\subsection{Contract composition}
|
||||
\label{sec:contract-composition}
|
||||
|
||||
We want know to reuse the \texttt{ntasks} node, in order to build modularly a
|
||||
system composed of $2n$ tasks. The Figure~\ref{fig:2n-del-task} shows the
|
||||
parallel composition of two \texttt{ntasks} nodes. We associate to this
|
||||
composition a new contract, which role is to enforce the exclusivity of the $2n$
|
||||
tasks.
|
||||
|
||||
\begin{figure}[htb]
|
||||
\begin{lstlisting}
|
||||
node main($\ton[1][2n]{\mathtt{r}}{,},\ton[1][2n]{\mathtt{e}}{,}$:bool)
|
||||
returns ($\ton[1][2n]{\mathtt{a}}{,}$:bool)
|
||||
contract
|
||||
let
|
||||
ca$_{1}$ = a$_{1}$ & (a$_{2}$ or $\ldots$ or a$_{2n}$);
|
||||
$\vdots$
|
||||
ca$_{2n-1}$ = a$_{2n-1}$ & a$_{2n}$;
|
||||
tel
|
||||
enforce not (ca$_{1}$ or $\ldots$ or ca$_{2n-1}$)
|
||||
let
|
||||
($\ton{\mathtt{a}}{,}$) = ntasks($\ton{\mathtt{r}}{,}$,$\ton{\mathtt{e}}{,}$);
|
||||
($\ton[n+1][2n]{\mathtt{a}}{,}$) = ntasks($\ton[n+1][2n]{\mathtt{r}}{,}$,$\ton[n+1][2n]{\mathtt{e}}{,}$);
|
||||
tel
|
||||
\end{lstlisting}
|
||||
\caption{Composition of two \texttt{ntasks} nodes}
|
||||
\label{fig:2n-del-task}
|
||||
\end{figure}
|
||||
|
||||
It is easy to see that the contract of \texttt{ntasks} is not precise enough to
|
||||
be able to compose several of these nodes. Therefore, we need to refine this
|
||||
contract by adding some way to externally control the activity of the tasks.
|
||||
|
||||
\subsection{Contract refinement}
|
||||
\label{sec:contract-refinement}
|
||||
|
||||
We first add an input \texttt{c}, meant to be controllable. The refined contract
|
||||
will enforce that:
|
||||
\begin{enumerate}
|
||||
\item the tasks are exclusive,
|
||||
\item one task is active only at instants when the input \texttt{c} is
|
||||
true. This property, appearing in the contract, allow a node instantiating
|
||||
\texttt{ntasks} to forbid any activity of the $n$ tasks instantiated.
|
||||
\end{enumerate}
|
||||
The Figure~\ref{fig:n-del-task-2} contains this new \texttt{ntasks} node.
|
||||
|
||||
\begin{figure}[htb]
|
||||
\begin{lstlisting}
|
||||
node ntasks(c,$\ton{\mathtt{r}}{,}$,$\ton{\mathtt{e}}{,}$:bool) returns ($\ton{\mathtt{a}}{,}$:bool)
|
||||
contract
|
||||
let
|
||||
ca$_{1}$ = a$_{1}$ & (a$_{2}$ or $\ldots$ or a$_{n}$);$\ldots$
|
||||
ca$_{n-1}$ = a$_{n-1}$ & a$_{n}$;
|
||||
one = a$_{1}$ or $\ldots$ or a$_{n}$;
|
||||
tel
|
||||
enforce not (ca$_{1}$ or $\ldots$ or ca$_{n-1}$) & (c or not one)
|
||||
with ($\ton{\mathtt{c}}{,}$:bool)
|
||||
let
|
||||
a$_{1}$ = inlined delayable(r$_{1}$,c$_{1}$,e$_{1}$);
|
||||
$\vdots$
|
||||
a$_{n}$ = inlined delayable(r$_{n}$,c$_{n}$,e$_{n}$);
|
||||
tel
|
||||
\end{lstlisting}
|
||||
\caption{First contract refinement for the \texttt{ntasks} node}
|
||||
\label{fig:n-del-task-2}
|
||||
\end{figure}
|
||||
|
||||
However, the controllability introduced here is know too strong. The synthesis
|
||||
will succeed, but the computed controller, without knowing how \texttt{c} will
|
||||
be instantiated, will actually block every tasks in their idle state. Indeed, if
|
||||
the controller allows one task to go in its active state, the input \texttt{c}
|
||||
can become false at the next instant, violating the property to enforce.
|
||||
|
||||
Thus, we propose to add an assumption to this contract: the input \texttt{c}
|
||||
will not become false if a task was active an instant before. This new contract
|
||||
is visible in Figure~\ref{fig:n-del-tasks-3}.
|
||||
|
||||
\begin{figure}[htb]
|
||||
\centering
|
||||
\begin{lstlisting}
|
||||
node ntasks(c,$\ton{\mathtt{r}}{,}$,$\ton{\mathtt{e}}{,}$:bool) returns ($\ton{\mathtt{a}}{,}$:bool)
|
||||
contract
|
||||
let
|
||||
ca$_{1}$ = a$_{1}$ & (a$_{2}$ or $\ldots$ or a$_{n}$);$\ldots$
|
||||
ca$_{n-1}$ = a$_{n-1}$ & a$_{n}$;
|
||||
one = a$_{1}$ or $\ldots$ or a$_{n}$;
|
||||
pone = false fby one;
|
||||
tel
|
||||
assume (not pone or c)
|
||||
enforce not (ca$_{1}$ or $\ldots$ or ca$_{n-1}$) & (c or not one)
|
||||
with ($\ton{\mathtt{c}}{,}$)
|
||||
let
|
||||
a$_{1}$ = inlined delayable(r$_{1}$,c$_{1}$,e$_{1}$);
|
||||
$\vdots$
|
||||
a$_{n}$ = inlined delayable(r$_{n}$,c$_{n}$,e$_{n}$);
|
||||
tel
|
||||
\end{lstlisting}
|
||||
\caption{Second contract refinement for the \texttt{ntasks} node}
|
||||
\label{fig:n-del-tasks-3}
|
||||
\end{figure}
|
||||
|
||||
We can then use this new \texttt{ntasks} version for the parallel composition,
|
||||
by instantiating the \texttt{c} input by a controllable variable and its
|
||||
negation. This composition can be found in Figure~\ref{fig:ntasks-compos}.
|
||||
|
||||
\begin{figure}[htb]
|
||||
\centering
|
||||
\begin{lstlisting}
|
||||
node main($\ton[1][2n]{\mathtt{r}}{,}$,$\ton[1][2n]{\mathtt{e}}{,}$:bool) returns ($\ton[1][2n]{\mathtt{a}}{,}$:bool)
|
||||
contract
|
||||
let
|
||||
ca$_{1}$ = a$_{1}$ & (a$_{2}$ or $\ldots$ or a$_{2n}$);
|
||||
$\vdots$
|
||||
ca$_{2n-1}$ = a$_{2n-1}$ & a$_{2n}$;
|
||||
tel
|
||||
enforce not (ca$_{1}$ or $\ldots$ or ca$_{2n-1}$)
|
||||
with (c:bool)
|
||||
let
|
||||
($\ton{\mathtt{a}}{,}$) = ntasks(c,$\ton{\mathtt{r}}{,}$,$\ton{\mathtt{e}}{,}$);
|
||||
($\ton[n+1][2n]{\mathtt{a}}{,}$) = ntasks(\Not c,$\ton[n+1][2n]{\mathtt{r}}{,}$,$\ton[n+1][2n]{\mathtt{e}}{,}$);
|
||||
tel
|
||||
\end{lstlisting}
|
||||
\caption{Two \texttt{ntasks} parallel composition}
|
||||
\label{fig:ntasks-compos}
|
||||
\end{figure}
|
||||
|
||||
|
||||
\appendix
|
||||
|
||||
\section{Generated code}
|
||||
\label{sec:app-generated-code}
|
||||
|
||||
\subsection{C generated code}
|
||||
\label{sec:c-generated-code}
|
||||
|
||||
C generated files from an Heptagon program \texttt{example.ept} are placed in a
|
||||
directory named \texttt{example\_c}. This directory contains one file
|
||||
\texttt{example.c}. For each node \texttt{f} of the source program, assuming
|
||||
that \texttt{f} has inputs $(x_1:t_1,\ldots,x_n:t_n)$ and outputs
|
||||
$(y_1:t'_1,\ldots,y_p:t'_p)$, $t_i$ and $t'_i$ being the data types of these
|
||||
inputs and outputs, then the \texttt{example.c} file contains, for each node
|
||||
\texttt{f}:
|
||||
|
||||
\begin{itemize}
|
||||
\item A \texttt{Example\_\_f\_reset} function, with an argument \texttt{self} being a
|
||||
memory structure instance:
|
||||
|
||||
\begin{lstlisting}[language=C]
|
||||
void Example__f_reset(Example__f_mem* self);
|
||||
\end{lstlisting}
|
||||
|
||||
\item A \texttt{Example\_\_f\_step} function, with as arguments the nodes inputs, a
|
||||
structure \texttt{\_out} where the output will be put, and a memory structure
|
||||
instance \texttt{self}:
|
||||
|
||||
\begin{lstlisting}[language=C]
|
||||
void Example__f_step(t$_{1}$ x$_{1}$, ..., t$_{n}$ x$_{n}$,
|
||||
Example__f_out* \_out,
|
||||
Example__f_mem* self);
|
||||
\end{lstlisting}
|
||||
|
||||
After the call of this function, the structure \texttt{\_out} contains the
|
||||
outputs of the node:
|
||||
\begin{lstlisting}[language=C]
|
||||
typedef struct \{
|
||||
t$'_1$ y$_{1}$;
|
||||
...
|
||||
t$'_p$ y$_{p}$;
|
||||
\} Example__f_ans;
|
||||
\end{lstlisting}
|
||||
\end{itemize}
|
||||
|
||||
An example of main C code for the execution of this node would be then:
|
||||
\begin{lstlisting}[language=C]
|
||||
#include "example.h"
|
||||
|
||||
int main(int argc, char * argv[]) \{
|
||||
|
||||
Example__f_m mem;
|
||||
t$_{1}$ x$_{1}$;
|
||||
...
|
||||
t$_{n}$ x$_{n}$;
|
||||
Example__f_out ans;
|
||||
|
||||
/* initialize memory instance */
|
||||
f_reset(&mem);
|
||||
|
||||
while(1) \{
|
||||
/* read inputs */
|
||||
scanf("...", &x$_{1}$, ..., &x$_{n}$);
|
||||
|
||||
/* perform step */
|
||||
Example__f_step(x$_{1}$, ..., x$_{n}$, &ans, &mem);
|
||||
|
||||
/* write outputs */
|
||||
printf("...", ans.y$_{1}$, ..., ans.y$_{p}$);
|
||||
\}
|
||||
\}
|
||||
\end{lstlisting}
|
||||
|
||||
The above code is nearly what is produce for the simulator with the \texttt{-s}
|
||||
option (see Section~\ref{sec:simulation}).
|
||||
|
||||
% \subsection{OCaml generated code}
|
||||
% \label{sec:ocaml-generated-code}
|
||||
|
||||
|
||||
% If the option \texttt{-target caml} is given, then the compiler generates OCaml
|
||||
% code in a file named \texttt{example.ml}. Heptagon nodes are compiled into OCaml
|
||||
% classes, where state variables are class properties, and the two functions
|
||||
% ``reset'' and ``step'' are class methods. Thus, the class type of \texttt{f}
|
||||
% would be:
|
||||
% \begin{alltt}
|
||||
% class f :
|
||||
% object
|
||||
% method reset : unit \(\rightarrow\) unit
|
||||
% method step : t\ind{1} * ... * t\ind{n} \(\rightarrow\) (t\('\sb{1}\) * ... * t\('\sb{p}\))
|
||||
% end
|
||||
% \end{alltt}
|
||||
|
||||
\subsection{Java generated code}
|
||||
\label{sec:java-generated-code}
|
||||
|
||||
Java generated files from an Heptagon program \texttt{example.ept} are placed in
|
||||
a directory named \texttt{example\_java}. This directory contains one Java class
|
||||
\texttt{f} (in the file \texttt{f.java}) for each node \texttt{f} of the source
|
||||
program. Assuming that \texttt{f} has inputs $(x_1:t_1,\ldots,x_n:t_n)$ and
|
||||
outputs $(y_1:t'_1,\ldots,y_p:t'_p)$, $t_i$ and $t'_i$ being the data types of
|
||||
these inputs and outputs, then this \texttt{f} class implements the following
|
||||
interface:
|
||||
|
||||
|
||||
\begin{lstlisting}[language=Java]
|
||||
public interface f {
|
||||
|
||||
public void reset();
|
||||
|
||||
public fAnswer step(t$_{1}$ x$_{1}$, ..., t$_{n}$ x$_{n}$);
|
||||
}
|
||||
\end{lstlisting}
|
||||
|
||||
The \texttt{fAnswer} class being a structure containing the outputs:
|
||||
|
||||
\begin{lstlisting}[language=Java]
|
||||
public class fAnswer {
|
||||
t$'\sb{1}$ y$_{1}$;
|
||||
...
|
||||
t$'\sb{p}$ y$_{p}$;
|
||||
}
|
||||
\end{lstlisting}
|
||||
|
||||
|
||||
|
||||
\end{document}
|
||||
@ -0,0 +1,558 @@
|
||||
\ProvidesPackage{macros}
|
||||
|
||||
\RequirePackage[T1]{fontenc}
|
||||
\RequirePackage{xspace}
|
||||
\RequirePackage{amsmath}
|
||||
\RequirePackage{amssymb}
|
||||
\RequirePackage{amsthm}
|
||||
\RequirePackage{graphicx}
|
||||
\RequirePackage{ifthen}
|
||||
|
||||
%% lambdas-trucs
|
||||
|
||||
\newcommand{\lambdavar}[1]{\expandafter\newcommand\csname #1\endcsname{\lambda #1}}
|
||||
|
||||
\lambdavar{p}
|
||||
\lambdavar{x}
|
||||
\lambdavar{y}
|
||||
\lambdavar{z}
|
||||
|
||||
\let\corrital=\/
|
||||
\renewcommand{\/}{\ifmmode\forall\else\corrital\fi}
|
||||
|
||||
\newcommand{\va}{\ensuremath{\alpha}\xspace}
|
||||
\newcommand{\vb}{\ensuremath{\beta}\xspace}
|
||||
\newcommand{\vc}{\ensuremath{\gamma}\xspace}
|
||||
\newcommand{\vd}{\ensuremath{\delta}\xspace}
|
||||
\newcommand{\vh}{\ensuremath{\eta}\xspace}
|
||||
|
||||
|
||||
%% langages
|
||||
|
||||
\newcommand{\langage}[2]{\providecommand{#1}{}\renewcommand{#1}{\textsc{#2}\xspace}}
|
||||
|
||||
\langage{\ls}{Lucid Synchrone}
|
||||
\langage{\lustre}{Lustre}
|
||||
\langage{\signal}{Signal}
|
||||
\langage{\esterel}{Esterel}
|
||||
\langage{\maestro}{Maestro}
|
||||
\langage{\ocaml}{OCaml}
|
||||
\langage{\caml}{Caml}
|
||||
\langage{\nemo}{Nemo}
|
||||
\langage{\Acute}{Acute}
|
||||
\langage{\Oz}{Oz}
|
||||
\langage{\heptagon}{Heptagon}
|
||||
\langage{\decade}{Decade}
|
||||
|
||||
\RequirePackage{listings}
|
||||
|
||||
% Definition langage decade
|
||||
|
||||
\lstdefinelanguage{Heptagon}
|
||||
{%
|
||||
keywords={node,returns,let,tel,var,pre,fby,when,whenot,merge,if,then,else,or,not},%
|
||||
morekeywords=[2]{automaton,state,until,unless,end,present,switch,inlined},%
|
||||
morekeywords=[2]{contract,assume,enforce,with},%
|
||||
otherkeywords={->,&,=},%
|
||||
comment=[n]{(*}{*)},%
|
||||
}[keywords,comments]
|
||||
|
||||
% \lstdefinelanguage[dist]{Decade}
|
||||
% {%
|
||||
% morekeywords={link,to},%
|
||||
% }[keywords,comments]
|
||||
|
||||
%% règles d'inférence
|
||||
|
||||
\RequirePackage{mathpartir}
|
||||
|
||||
\renewcommand{\TirName}[1]{\textsc{(#1)}}
|
||||
\renewcommand{\RefTirName}[1]{\textsc{(#1)}}
|
||||
|
||||
\newcommand{\rulename}[1]{\ifthenelse{\equal{#1}{}}{}{\textsc{#1}}}
|
||||
|
||||
\newcommand{\sepname}{\:}
|
||||
\newcommand{\sepprem}{\;\;\;}
|
||||
|
||||
\newcommand{\axiom}[2][]{\rulename{#1}\quad#2}
|
||||
\newcommand{\infsimple}[3][]{\rulename{#1}\sepname\frac{#2}{#3}}
|
||||
\newcommand{\infsimplespec}[3][]{
|
||||
\begin{array}{c}
|
||||
{#2}\\
|
||||
\multicolumn{1}{l}{\rulename{#1}}\\\hline
|
||||
{#3}
|
||||
\end{array}
|
||||
}
|
||||
\newcommand{\infdouble}[4][]{\rulename{#1}\sepname\frac{#2\sepprem#3}{#4}}
|
||||
\newcommand{\infdoublecol}[4][]{\rulename{#1}\sepname\frac{\array{c}#2\\#3\endarray}{#4}}
|
||||
\newcommand{\inftriple}[5][]{\rulename{#1}\sepname\frac{#2\sepprem#3\sepprem#4}{#5}}
|
||||
\newcommand{\inftriplecol}[5][]{\rulename{#1}\sepname\frac{\array{c}#2\\#3\\#4\endarray}{#5}}
|
||||
\newcommand{\infquadruple}[6][]{\rulename{#1}\sepname\frac{#2\sepprem#3\sepprem#4\sepprem#5}{#6}}
|
||||
|
||||
%% Grammaires
|
||||
|
||||
\newcommand{\ou}{\;|\;}
|
||||
\newcommand{\fun}{\rightarrow}
|
||||
%\newcommand{\ovfun}[1]{\xrightarrow{#1}}
|
||||
\newcommand{\ovfun}[1]{{\;-\mskip-1.5\thinmuskip\langle{#1}\rangle\!\!\!\rightarrow\;}}
|
||||
|
||||
%% Typage --- général
|
||||
|
||||
\DeclareMathOperator{\FV}{FV}
|
||||
\DeclareMathOperator{\FTV}{FTV}
|
||||
\DeclareMathOperator{\FSV}{FSV}
|
||||
\DeclareMathOperator{\FLV}{FLV}
|
||||
\DeclareMathOperator{\FCV}{FCV}
|
||||
\DeclareMathOperator{\gen}{gen}
|
||||
\DeclareMathOperator{\genall}{genall}
|
||||
%\DeclareMathOperator{\Var}{Var}
|
||||
|
||||
\DeclareMathOperator{\merge}{merge}
|
||||
|
||||
\newcommand{\mergeenv}{\uplus}
|
||||
|
||||
%% Types de données
|
||||
|
||||
\newcommand{\type}[3]{\ensuremath{#1\vdash#2:#3}}
|
||||
|
||||
%% Horloges
|
||||
|
||||
\newcommand{\horloge}[3]{\ensuremath{#1\vdash#2:#3}}
|
||||
|
||||
%% Types spaciaux
|
||||
|
||||
\newcommand{\soussite}{\ensuremath{\prec_\cR}}
|
||||
\newcommand{\connecte}{\ensuremath{\mapsto_\cC}}
|
||||
|
||||
\DeclareMathOperator{\site}{site}
|
||||
\DeclareMathOperator{\sites}{sites}
|
||||
\DeclareMathOperator{\locations}{locations}
|
||||
\DeclareMathOperator{\loc}{loc}
|
||||
|
||||
\DeclareMathOperator{\names}{names}
|
||||
|
||||
\DeclareMathOperator{\out}{out}
|
||||
|
||||
\DeclareMathOperator{\com}{com}
|
||||
|
||||
\DeclareMathOperator{\channels}{channels}
|
||||
|
||||
\DeclareMathOperator{\constraints}{constr}
|
||||
|
||||
\DeclareMathOperator{\op}{op}
|
||||
\DeclareMathOperator{\ifte}{ifte}
|
||||
\DeclareMathOperator{\fby}{fby}
|
||||
|
||||
|
||||
\newcommand{\fcom}[4]{\ensuremath{#1\xrightarrow{#2\vartriangleright#3}#4}}
|
||||
|
||||
\newcommand{\OutputType}[3]{\ensuremath{\uparrow_{#1,#2}(#3)}}
|
||||
|
||||
\newcommand{\pere}[2]{\ensuremath{\uparrow_#1(#2)}}
|
||||
|
||||
\newcommand{\set}[1]{\ensuremath{\{#1\}}}
|
||||
|
||||
\newcommand{\defprogram}[2]{\ensuremath{\vdash#1:#2}}
|
||||
\newcommand{\defhierarchy}[3]{\ensuremath{#1\vdash#2:#3}}
|
||||
\newcommand{\defarch}[3]{\ensuremath{#1\vdash#2:#3}}
|
||||
\newcommand{\spacetype}[4]{\ensuremath{#1\vdash#3:#4/#2}}
|
||||
|
||||
\renewcommand{\spacetype}[5]{\ensuremath{#1|#2\vdash#4:#5/#3}}
|
||||
\newcommand{\spacetypetrans}[4]{\ensuremath{#1|#2\vdash#4/#3}}
|
||||
\newcommand{\spacetypeimpl}[5]{\ensuremath{#1|#2\vdash_i#4:#5/#3}}
|
||||
\newcommand{\spacetypechan}[6]{\ensuremath{#1|#2\vdash#5:#6/#3/#4}}
|
||||
|
||||
\newcommand{\subtype}[3]{\ensuremath{#1\vdash#2\prec#3}}
|
||||
\newcommand{\projsubtype}[4]{\ensuremath{#1\vdash#2:#3\prec#4}}
|
||||
|
||||
\newcommand{\emptydecl}{\ensuremath{\emptyset}}
|
||||
|
||||
\newcommand{\slicing}[3]{\ensuremath{#1\stackrel{#2}{\longrightarrow}#3}}
|
||||
%\newcommand{\projection}[4]{\ensuremath{#1|#2\stackrel{#3}{\Longrightarrow}#4}}
|
||||
\newcommand{\projection}[3]{\ensuremath{#1\stackrel{#2}{\Longrightarrow}#3}}
|
||||
\newcommand{\projspacetype}[7]{\ensuremath{\projection{\spacetype{#1}{#2}{#3}{#4}{#5}}{#6}{#7}}}
|
||||
\newcommand{\projtrans}[6]{\ensuremath{\projection{\spacetypetrans{#1}{#2}{#3}{#4}}{#5}{#6}}}
|
||||
\newcommand{\projectioncol}[3]{\ensuremath{
|
||||
\begin{array}{c}
|
||||
#1\\
|
||||
\stackrel{#2}{\Longrightarrow}#3
|
||||
\end{array}}}
|
||||
|
||||
\newcommand{\projtype}[4]{\ensuremath{#1\vdash#2\stackrel{#3}{\Longrightarrow}#4}}
|
||||
|
||||
\newcommand{\canal}[3]{\ensuremath{#1\stackrel{#2}{\leftrightarrow}#3}}
|
||||
\newcommand{\channel}[3]{\ensuremath{#1\stackrel{#2}{\mapsto} #3}}
|
||||
|
||||
\newcommand{\vs}{\ensuremath{\delta}\xspace}
|
||||
|
||||
\newcommand{\comm}{\triangleright}
|
||||
|
||||
\newcommand{\graph}[2]{\ensuremath{\langle#1,#2\rangle}}
|
||||
|
||||
\newcommand{\abs}{\ensuremath{\bot}}
|
||||
\newcommand{\cabs}{\ensuremath{[]}}
|
||||
|
||||
\newcommand{\subck}{\ensuremath{<:}}
|
||||
|
||||
%% Sémantique synchrone
|
||||
|
||||
\newcommand{\clock}[1]{\ensuremath{\langle#1\rangle}}
|
||||
|
||||
\newcommand{\I}{\mathbb{I}}
|
||||
%\newcommand{\N}{\mathbb{N}}
|
||||
|
||||
% dist. values and environments
|
||||
|
||||
\newcommand{\dv}{\hat v}
|
||||
\newcommand{\lv}{vl}
|
||||
\newcommand{\R}{\hat R}
|
||||
\let\paragraphe=\S
|
||||
\renewcommand{\S}{\hat S}
|
||||
\newcommand{\G}{\hat G}
|
||||
\newcommand{\C}{\hat C}
|
||||
\newcommand{\A}{\hat A}
|
||||
|
||||
\newcommand{\semop}[3]{\ensuremath{#1\xrightarrow{#2}#3}}
|
||||
\newcommand{\semdist}[5]{\ensuremath{#1\stackrel{#2}{\Vdash}#3\xrightarrow{#4}#5}}
|
||||
\newcommand{\semproj}[4]{\ensuremath{#1\vdash#2\xrightarrow{#3}#4}}
|
||||
\newcommand{\semcent}[4]{\ensuremath{#1\vdash#2\xrightarrow{#3}#4}}
|
||||
\newcommand{\semcentshort}[4]{\ensuremath{#1\!\vdash\!#2\!\stackrel{#3}{\rightarrow}\!#4}}
|
||||
\newcommand{\semprog}[3]{\ensuremath{#1\vdash#2:#3}}
|
||||
\newcommand{\semdistprog}[3]{\ensuremath{#1\Vdash#2:#3}}
|
||||
|
||||
\newcommand{\compvt}[3]{#1\in I_{H}(#3)}
|
||||
|
||||
\newcommand{\relval}[4]{\ensuremath{#1\preccurlyeq^{#2}_{#3}#4}}
|
||||
|
||||
%\newcommand{\reaceq}[1]{\stackrel{#1}{\cong}}
|
||||
%\newcommand{\reaceq}[1]{\stackrel{#1}{\preccurlyeq}}
|
||||
\newcommand{\reaceq}[1]{\preccurlyeq_{#1}}
|
||||
|
||||
\def\leadstofill@{\arrowfill@\relbar\relbar\leadsto}
|
||||
\newcommand{\xleadsto}[2][]{\ext@arrow 0359\leadstofill@{#1}{#2}}
|
||||
|
||||
\newcommand{\simu}[4]{#1\xleadsto[#3]{#2}#4}
|
||||
|
||||
%% lettres calligraphiques
|
||||
|
||||
\newcommand{\shortcal}[1]{\expandafter\newcommand\csname c#1\endcsname{\ensuremath{\mathcal{#1}}}}
|
||||
|
||||
\shortcal{A}
|
||||
\shortcal{B}
|
||||
\shortcal{C}
|
||||
\shortcal{D}
|
||||
\shortcal{E}
|
||||
\shortcal{F}
|
||||
\shortcal{G}
|
||||
\shortcal{H}
|
||||
\shortcal{I}
|
||||
\shortcal{J}
|
||||
\shortcal{K}
|
||||
\shortcal{L}
|
||||
\shortcal{M}
|
||||
\shortcal{N}
|
||||
\shortcal{O}
|
||||
\shortcal{P}
|
||||
\shortcal{Q}
|
||||
\shortcal{R}
|
||||
\shortcal{S}
|
||||
\shortcal{T}
|
||||
\shortcal{U}
|
||||
\shortcal{V}
|
||||
\shortcal{W}
|
||||
\shortcal{X}
|
||||
\shortcal{Y}
|
||||
\shortcal{Z}
|
||||
|
||||
%% mots-clés
|
||||
|
||||
\newcommand{\m@thspace}{%
|
||||
\ifmmode\ \fi%
|
||||
}
|
||||
|
||||
|
||||
\newcommand{\textname}[1]{\texttt{#1}}
|
||||
|
||||
\newcommand{\name}[2]{%
|
||||
\providecommand{#1}{}%
|
||||
\renewcommand{#1}{\textname{#2}\xspace}%
|
||||
}
|
||||
|
||||
\newcommand{\textkw}[1]{\texttt{\textbf{#1}}}
|
||||
|
||||
\newcommand{\kw}[2]{%
|
||||
\providecommand{#1}{}%
|
||||
\renewcommand{#1}{\textkw{#2}\xspace}%
|
||||
}
|
||||
\newcommand{\akeyword}[1]{\expandafter\kw\csname #1\endcsname{#1}}
|
||||
|
||||
\newcommand{\midkw}[2]{%
|
||||
\providecommand{#1}{}%
|
||||
\renewcommand{#1}{\m@thspace\textkw{#2}\m@thspace\xspace}%
|
||||
}
|
||||
\newcommand{\midkeyword}[1]{\expandafter\midkw\csname #1\endcsname{#1}}
|
||||
|
||||
\newcommand{\begkw}[2]{%
|
||||
\providecommand{#1}{}%
|
||||
\renewcommand{#1}{\textkw{#2}\m@thspace\xspace}%
|
||||
}
|
||||
\newcommand{\begkeyword}[1]{\expandafter\begkw\csname #1\endcsname{#1}}
|
||||
|
||||
\newcommand{\closekw}[2]{%
|
||||
\providecommand{#1}{}%
|
||||
\renewcommand{#1}{\m@thspace\textkw{#2}\xspace}%
|
||||
}
|
||||
\newcommand{\closekeyword}[1]{\expandafter\closekw\csname #1\endcsname{#1}}
|
||||
|
||||
\newcommand{\typeconst}[2]{\kw{#1}{#2}}
|
||||
\newcommand{\binop}[2]{\midkw{#1}{#2}}
|
||||
\newcommand{\unop}[2]{\begkw{#1}{#2}}
|
||||
\newcommand{\funct}[2]{\begkw{#1}{#2}}
|
||||
|
||||
%% Mots-clés Lucid Synchrone
|
||||
|
||||
\begkw{\Assume}{assume}
|
||||
\begkw{\Automaton}{automaton}
|
||||
\midkw{\And}{and}
|
||||
\midkw{\Band}{\&}
|
||||
\begkw{\Clock}{clock}
|
||||
\begkw{\Contract}{contract}
|
||||
\begkw{\Do}{do}
|
||||
\closekw{\Done}{done}
|
||||
\midkw{\Else}{else}
|
||||
\begkw{\Emit}{emit}
|
||||
\closekw{\End}{end}
|
||||
\begkw{\Enforce}{enforce}
|
||||
\midkw{\Every}{every}
|
||||
\binop{\Fby}{fby}
|
||||
\binop{\Fleche}{->}
|
||||
\unop{\Fst}{fst}
|
||||
\kw{\False}{false}
|
||||
\begkw{\Guarantee}{guarantee}
|
||||
\begkw{\If}{if}
|
||||
\midkw{\In}{in}
|
||||
\begkw{\Inlined}{inlined}
|
||||
\begkw{\Last}{last}
|
||||
\begkw{\Let}{let}
|
||||
\begkw{\Letnode}{node}
|
||||
\begkw{\Match}{match}
|
||||
\funct{\Merge}{merge}
|
||||
%\kw{\merge}{merge}
|
||||
\begkw{\Node}{node}
|
||||
\begkw{\Not}{not}
|
||||
\midkw{\On}{on}
|
||||
\midkw{\Or}{or}
|
||||
\unop{\Pre}{pre}
|
||||
\begkw{\Present}{present}
|
||||
\kw{\Pv}{;}
|
||||
\begkw{\Rec}{rec}
|
||||
\begkw{\Reset}{reset}
|
||||
\midkw{\Returns}{returns}
|
||||
\begkw{\Run}{run}
|
||||
\begkw{\Sig}{sig}
|
||||
\unop{\Snd}{snd}
|
||||
\begkw{\State}{state}
|
||||
\closekw{\Tel}{tel}
|
||||
\midkw{\Then}{then}
|
||||
\kw{\True}{true}
|
||||
\midkw{\Until}{until}
|
||||
\midkw{\Unless}{unless}
|
||||
\midkw{\Var}{var}
|
||||
\midkw{\When}{when}
|
||||
\midkw{\Whenot}{whenot}
|
||||
\midkw{\Where}{where}
|
||||
\midkw{\With}{with}
|
||||
|
||||
|
||||
\kw{\Tick}{tick}
|
||||
|
||||
|
||||
\typeconst{\Float}{float}
|
||||
\typeconst{\Int}{int}
|
||||
\typeconst{\Unit}{unit}
|
||||
\typeconst{\Bool}{bool}
|
||||
|
||||
\newcommand{\Nil}{\ensuremath{\mathit{nil}}}
|
||||
|
||||
%% Mots-clés répartition
|
||||
|
||||
\midkw{\At}{at}
|
||||
\begkw{\Site}{site}
|
||||
\begkw{\Loc}{loc}
|
||||
\begkw{\Subsite}{subsite}
|
||||
\begkw{\Subloc}{subloc}
|
||||
\begkw{\Link}{link}
|
||||
\midkw{\To}{to}
|
||||
\begkw{\Out}{out}
|
||||
\midkw{\Of}{of}
|
||||
\begkw{\Port}{port}
|
||||
|
||||
\newcommand{\TAt}{\m@thspace\texttt{at}\m@thspace\xspace}
|
||||
|
||||
\DeclareMathOperator{\typecl}{clock}
|
||||
|
||||
\funct{\Send}{send}
|
||||
\funct{\Receive}{receive}
|
||||
|
||||
\newcommand{\match}[4][c]{
|
||||
\begin{array}[#1]{l}
|
||||
\Match #2\With\\
|
||||
|\ \True \rightarrow #3\\
|
||||
|\ \False \rightarrow #4\\
|
||||
\end{array}
|
||||
}
|
||||
|
||||
\newcommand{\linematch}[3]{
|
||||
\Match #1\With
|
||||
|\ \True \rightarrow #2
|
||||
\ |\ \False \rightarrow #3
|
||||
}
|
||||
|
||||
%% Théorèmes, définitions, remarques...
|
||||
|
||||
\RequirePackage{amsmath}
|
||||
|
||||
\newtheorem{definition}{D\'efinition}
|
||||
|
||||
\newtheorem{remarque}{Remarque}
|
||||
|
||||
\newtheorem{theoreme}{Th\'eor\`eme}
|
||||
\newtheorem{lemme}{Lemme}
|
||||
|
||||
\newtheorem{proposition}{Proposition}
|
||||
|
||||
\newtheorem{theorem}{Theorem}
|
||||
\newtheorem{lemma}{Lemma}
|
||||
|
||||
\newcommand{\noeud}{n\oe ud\xspace}
|
||||
\newcommand{\Noeud}{N\oe ud\xspace}
|
||||
\newcommand{\noeuds}{n\oe uds\xspace}
|
||||
\newcommand{\Noeuds}{N\oe uds\xspace}
|
||||
|
||||
%% Macros mathématiques
|
||||
|
||||
\providecommand{\tonfirst}{}
|
||||
\newcommand{\ton}[1][1]{\renewcommand{\tonfirst}{#1}\tonbis}
|
||||
\newcommand{\tonbis}[3][n]{\ensuremath{#2_{\tonfirst}#3\ldots#3#2_{#1}}}
|
||||
|
||||
\newcommand{\tonp}{\ton[1][p]}
|
||||
\newcommand{\tonq}{\ton[1][q]}
|
||||
|
||||
\newcommand{\tontt}[1][1]{\renewcommand{\tonfirst}{#1}\tonttbis}
|
||||
\newcommand{\tonttbis}[3][n]{\ensuremath{\mathtt{#2}_{\tonfirst}\mathtt{#3}\ldots\mathtt{#3}\mathtt{#2}_{#1}}}
|
||||
|
||||
\newcommand{\ind}[1]{\(\sb{#1}\)}
|
||||
|
||||
\DeclareMathOperator{\dom}{dom}
|
||||
\DeclareMathOperator{\codom}{cod}
|
||||
%\DeclareMathOperator{\inst}{inst}
|
||||
|
||||
\DeclareMathOperator{\head}{hd}
|
||||
\DeclareMathOperator{\tail}{tl}
|
||||
\DeclareMathOperator{\DCS}{DCS}
|
||||
\DeclareMathOperator{\Triang}{Triang}
|
||||
\DeclareMathOperator{\Traces}{Traces}
|
||||
|
||||
\newcommand{\B}{\mathbb{B}}
|
||||
\newcommand{\N}{\mathbb{N}}
|
||||
\newcommand{\Z}{\mathbb{Z}}
|
||||
%\newcommand{\R}{\mathbb{R}}
|
||||
%\newcommand{\C}{\mathbb{C}}
|
||||
|
||||
\newcommand{\seq}[1]{\ensuremath{\overline{#1}}}
|
||||
|
||||
\newcommand{\cphant}{\hat{c}}
|
||||
|
||||
|
||||
|
||||
%% Flots de données
|
||||
|
||||
\newenvironment{streams}[1]{%
|
||||
\setlength{\arraycolsep}{0.3cm}
|
||||
\array{|c|*{#1}{c}|}
|
||||
\hline
|
||||
}{%
|
||||
\hline
|
||||
\endarray
|
||||
}
|
||||
|
||||
%% Macros usuelles
|
||||
|
||||
%\RequirePackage[outerbars]{changebar}
|
||||
|
||||
%\newenvironment{change}[1][]{\cbstart}{\cbend}
|
||||
\newenvironment{change}[1][]{}{}
|
||||
|
||||
\newenvironment{amodifier}%
|
||||
{\textcolor{red}\bgroup%
|
||||
\hrule
|
||||
\begin{center}
|
||||
\`A MODIFIER ?
|
||||
\end{center}
|
||||
\hrule
|
||||
}%
|
||||
{\hrule\egroup}
|
||||
|
||||
\renewenvironment{amodifier}{}{}
|
||||
|
||||
%% Boîte-noeud code
|
||||
|
||||
\RequirePackage{alltt}
|
||||
|
||||
\newenvironment{code}{%
|
||||
\renewcommand{\textkw}[1]{\textbf{##1}}
|
||||
\@beginparpenalty 10000 %
|
||||
\quote%
|
||||
\alltt}{\endalltt%
|
||||
\endquote
|
||||
\vspace{3mm}
|
||||
}
|
||||
|
||||
\newenvironment{figcode}{%
|
||||
\renewcommand{\textkw}[1]{\textbf{##1}}
|
||||
\@beginparpenalty 10000 %
|
||||
\alltt}{\endalltt%
|
||||
\vspace{1mm}
|
||||
}
|
||||
|
||||
\newcommand{\marc}[1]{}
|
||||
|
||||
\RequirePackage{varwidth}
|
||||
|
||||
\newenvironment{showproj}
|
||||
{
|
||||
\par\noindent\medskip
|
||||
\renewenvironment{code}
|
||||
{\varwidth{\linewidth}\vspace*{0.5em}\alltt}
|
||||
{\endalltt\endvarwidth}
|
||||
\tabular{>{\centering}p{0.45\linewidth}||>{\centering}p{0.45\linewidth}}
|
||||
\multicolumn{1}{c}{\texttt{A}} & \multicolumn{1}{c}{\texttt{B}} \\\hline
|
||||
}
|
||||
{\vspace{-3cm}\endtabular\medskip}
|
||||
|
||||
\newcommand{\minildots}{\ensuremath{\!...}}
|
||||
|
||||
\newbox\subfigbox % Create a box to hold the subfigure.
|
||||
\newenvironment{subfloat}% % Create the new environment.
|
||||
{\def\caption##1{\gdef\subcapsave{\relax##1}}%
|
||||
\let\subcapsave=\@empty % Save the subcaption text.
|
||||
\let\sf@oldlabel=\label
|
||||
\def\label##1{\xdef\sublabsave{\noexpand\label{##1}}}%
|
||||
\let\sublabsave\relax % Save the label key.
|
||||
\setbox\subfigbox\hbox
|
||||
\bgroup}% % Open the box...
|
||||
{\egroup % ... close the box and call \subfigure.
|
||||
\let\label=\sf@oldlabel
|
||||
\subfigure[\subcapsave]{\sublabsave\box\subfigbox}}%
|
||||
|
||||
\newenvironment{flushedproof}{%
|
||||
\proof%
|
||||
\flushleft%
|
||||
}{%
|
||||
\endflushleft%
|
||||
\endproof%
|
||||
}
|
||||
|
||||
%% MiniLustre & contrats
|
||||
|
||||
\newcommand{\semml}[5]{\ensuremath{#1,#2\vdash#3\xrightarrow{#4}#5}}
|
||||
@ -0,0 +1,421 @@
|
||||
% Mathpartir --- Math Paragraph for Typesetting Inference Rules
|
||||
%
|
||||
% Copyright (C) 2001, 2002, 2003, 2004, 2005 Didier Rémy
|
||||
%
|
||||
% Author : Didier Remy
|
||||
% Version : 1.2.0
|
||||
% Bug Reports : to author
|
||||
% Web Site : http://pauillac.inria.fr/~remy/latex/
|
||||
%
|
||||
% Mathpartir is free software; you can redistribute it and/or modify
|
||||
% it under the terms of the GNU General Public License as published by
|
||||
% the Free Software Foundation; either version 2, or (at your option)
|
||||
% any later version.
|
||||
%
|
||||
% Mathpartir is distributed in the hope that it will be useful,
|
||||
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
% GNU General Public License for more details
|
||||
% (http://pauillac.inria.fr/~remy/license/GPL).
|
||||
%
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% File mathpartir.sty (LaTeX macros)
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
\NeedsTeXFormat{LaTeX2e}
|
||||
\ProvidesPackage{mathpartir}
|
||||
[2005/12/20 version 1.2.0 Math Paragraph for Typesetting Inference Rules]
|
||||
|
||||
%%
|
||||
|
||||
%% Identification
|
||||
%% Preliminary declarations
|
||||
|
||||
\RequirePackage {keyval}
|
||||
|
||||
%% Options
|
||||
%% More declarations
|
||||
|
||||
%% PART I: Typesetting maths in paragraphe mode
|
||||
|
||||
\newdimen \mpr@tmpdim
|
||||
|
||||
% To ensure hevea \hva compatibility, \hva should expands to nothing
|
||||
% in mathpar or in inferrule
|
||||
\let \mpr@hva \empty
|
||||
|
||||
%% normal paragraph parametters, should rather be taken dynamically
|
||||
\def \mpr@savepar {%
|
||||
\edef \MathparNormalpar
|
||||
{\noexpand \lineskiplimit \the\lineskiplimit
|
||||
\noexpand \lineskip \the\lineskip}%
|
||||
}
|
||||
|
||||
\def \mpr@rulelineskip {\lineskiplimit=0.3em\lineskip=0.2em plus 0.1em}
|
||||
\def \mpr@lesslineskip {\lineskiplimit=0.6em\lineskip=0.5em plus 0.2em}
|
||||
\def \mpr@lineskip {\lineskiplimit=1.2em\lineskip=1.2em plus 0.2em}
|
||||
\let \MathparLineskip \mpr@lineskip
|
||||
\def \mpr@paroptions {\MathparLineskip}
|
||||
\let \mpr@prebindings \relax
|
||||
|
||||
\newskip \mpr@andskip \mpr@andskip 2em plus 0.5fil minus 0.5em
|
||||
|
||||
\def \mpr@goodbreakand
|
||||
{\hskip -\mpr@andskip \penalty -1000\hskip \mpr@andskip}
|
||||
\def \mpr@and {\hskip \mpr@andskip}
|
||||
\def \mpr@andcr {\penalty 50\mpr@and}
|
||||
\def \mpr@cr {\penalty -10000\mpr@and}
|
||||
\def \mpr@eqno #1{\mpr@andcr #1\hskip 0em plus -1fil \penalty 10}
|
||||
|
||||
\def \mpr@bindings {%
|
||||
\let \and \mpr@andcr
|
||||
\let \par \mpr@andcr
|
||||
\let \\\mpr@cr
|
||||
\let \eqno \mpr@eqno
|
||||
\let \hva \mpr@hva
|
||||
}
|
||||
\let \MathparBindings \mpr@bindings
|
||||
|
||||
% \@ifundefined {ignorespacesafterend}
|
||||
% {\def \ignorespacesafterend {\aftergroup \ignorespaces}
|
||||
|
||||
\newenvironment{mathpar}[1][]
|
||||
{$$\mpr@savepar \parskip 0em \hsize \linewidth \centering
|
||||
\vbox \bgroup \mpr@prebindings \mpr@paroptions #1\ifmmode $\else
|
||||
\noindent $\displaystyle\fi
|
||||
\MathparBindings}
|
||||
{\unskip \ifmmode $\fi\egroup $$\ignorespacesafterend}
|
||||
|
||||
% \def \math@mathpar #1{\setbox0 \hbox {$\displaystyle #1$}\ifnum
|
||||
% \wd0 < \hsize $$\box0$$\else \bmathpar #1\emathpar \fi}
|
||||
|
||||
%%% HOV BOXES
|
||||
|
||||
\def \mathvbox@ #1{\hbox \bgroup \mpr@normallineskip
|
||||
\vbox \bgroup \tabskip 0em \let \\ \cr
|
||||
\halign \bgroup \hfil $##$\hfil\cr #1\crcr \egroup \egroup
|
||||
\egroup}
|
||||
|
||||
\def \mathhvbox@ #1{\setbox0 \hbox {\let \\\qquad $#1$}\ifnum \wd0 < \hsize
|
||||
\box0\else \mathvbox {#1}\fi}
|
||||
|
||||
|
||||
%% Part II -- operations on lists
|
||||
|
||||
\newtoks \mpr@lista
|
||||
\newtoks \mpr@listb
|
||||
|
||||
\long \def\mpr@cons #1\mpr@to#2{\mpr@lista {\\{#1}}\mpr@listb \expandafter
|
||||
{#2}\edef #2{\the \mpr@lista \the \mpr@listb}}
|
||||
|
||||
\long \def\mpr@snoc #1\mpr@to#2{\mpr@lista {\\{#1}}\mpr@listb \expandafter
|
||||
{#2}\edef #2{\the \mpr@listb\the\mpr@lista}}
|
||||
|
||||
\long \def \mpr@concat#1=#2\mpr@to#3{\mpr@lista \expandafter {#2}\mpr@listb
|
||||
\expandafter {#3}\edef #1{\the \mpr@listb\the\mpr@lista}}
|
||||
|
||||
\def \mpr@head #1\mpr@to #2{\expandafter \mpr@head@ #1\mpr@head@ #1#2}
|
||||
\long \def \mpr@head@ #1#2\mpr@head@ #3#4{\def #4{#1}\def#3{#2}}
|
||||
|
||||
\def \mpr@flatten #1\mpr@to #2{\expandafter \mpr@flatten@ #1\mpr@flatten@ #1#2}
|
||||
\long \def \mpr@flatten@ \\#1\\#2\mpr@flatten@ #3#4{\def #4{#1}\def #3{\\#2}}
|
||||
|
||||
\def \mpr@makelist #1\mpr@to #2{\def \mpr@all {#1}%
|
||||
\mpr@lista {\\}\mpr@listb \expandafter {\mpr@all}\edef \mpr@all {\the
|
||||
\mpr@lista \the \mpr@listb \the \mpr@lista}\let #2\empty
|
||||
\def \mpr@stripof ##1##2\mpr@stripend{\def \mpr@stripped{##2}}\loop
|
||||
\mpr@flatten \mpr@all \mpr@to \mpr@one
|
||||
\expandafter \mpr@snoc \mpr@one \mpr@to #2\expandafter \mpr@stripof
|
||||
\mpr@all \mpr@stripend
|
||||
\ifx \mpr@stripped \empty \let \mpr@isempty 0\else \let \mpr@isempty 1\fi
|
||||
\ifx 1\mpr@isempty
|
||||
\repeat
|
||||
}
|
||||
|
||||
\def \mpr@rev #1\mpr@to #2{\let \mpr@tmp \empty
|
||||
\def \\##1{\mpr@cons ##1\mpr@to \mpr@tmp}#1\let #2\mpr@tmp}
|
||||
|
||||
%% Part III -- Type inference rules
|
||||
|
||||
\newif \if@premisse
|
||||
\newbox \mpr@hlist
|
||||
\newbox \mpr@vlist
|
||||
\newif \ifmpr@center \mpr@centertrue
|
||||
\def \mpr@htovlist {%
|
||||
\setbox \mpr@hlist
|
||||
\hbox {\strut
|
||||
\ifmpr@center \hskip -0.5\wd\mpr@hlist\fi
|
||||
\unhbox \mpr@hlist}%
|
||||
\setbox \mpr@vlist
|
||||
\vbox {\if@premisse \box \mpr@hlist \unvbox \mpr@vlist
|
||||
\else \unvbox \mpr@vlist \box \mpr@hlist
|
||||
\fi}%
|
||||
}
|
||||
% OLD version
|
||||
% \def \mpr@htovlist {%
|
||||
% \setbox \mpr@hlist
|
||||
% \hbox {\strut \hskip -0.5\wd\mpr@hlist \unhbox \mpr@hlist}%
|
||||
% \setbox \mpr@vlist
|
||||
% \vbox {\if@premisse \box \mpr@hlist \unvbox \mpr@vlist
|
||||
% \else \unvbox \mpr@vlist \box \mpr@hlist
|
||||
% \fi}%
|
||||
% }
|
||||
|
||||
\def \mpr@item #1{$\displaystyle #1$}
|
||||
\def \mpr@sep{2em}
|
||||
\def \mpr@blank { }
|
||||
\def \mpr@hovbox #1#2{\hbox
|
||||
\bgroup
|
||||
\ifx #1T\@premissetrue
|
||||
\else \ifx #1B\@premissefalse
|
||||
\else
|
||||
\PackageError{mathpartir}
|
||||
{Premisse orientation should either be T or B}
|
||||
{Fatal error in Package}%
|
||||
\fi \fi
|
||||
\def \@test {#2}\ifx \@test \mpr@blank\else
|
||||
\setbox \mpr@hlist \hbox {}%
|
||||
\setbox \mpr@vlist \vbox {}%
|
||||
\if@premisse \let \snoc \mpr@cons \else \let \snoc \mpr@snoc \fi
|
||||
\let \@hvlist \empty \let \@rev \empty
|
||||
\mpr@tmpdim 0em
|
||||
\expandafter \mpr@makelist #2\mpr@to \mpr@flat
|
||||
\if@premisse \mpr@rev \mpr@flat \mpr@to \@rev \else \let \@rev \mpr@flat \fi
|
||||
\def \\##1{%
|
||||
\def \@test {##1}\ifx \@test \empty
|
||||
\mpr@htovlist
|
||||
\mpr@tmpdim 0em %%% last bug fix not extensively checked
|
||||
\else
|
||||
\setbox0 \hbox{\mpr@item {##1}}\relax
|
||||
\advance \mpr@tmpdim by \wd0
|
||||
%\mpr@tmpdim 1.02\mpr@tmpdim
|
||||
\ifnum \mpr@tmpdim < \hsize
|
||||
\ifnum \wd\mpr@hlist > 0
|
||||
\if@premisse
|
||||
\setbox \mpr@hlist
|
||||
\hbox {\unhbox0 \hskip \mpr@sep \unhbox \mpr@hlist}%
|
||||
\else
|
||||
\setbox \mpr@hlist
|
||||
\hbox {\unhbox \mpr@hlist \hskip \mpr@sep \unhbox0}%
|
||||
\fi
|
||||
\else
|
||||
\setbox \mpr@hlist \hbox {\unhbox0}%
|
||||
\fi
|
||||
\else
|
||||
\ifnum \wd \mpr@hlist > 0
|
||||
\mpr@htovlist
|
||||
\mpr@tmpdim \wd0
|
||||
\fi
|
||||
\setbox \mpr@hlist \hbox {\unhbox0}%
|
||||
\fi
|
||||
\advance \mpr@tmpdim by \mpr@sep
|
||||
\fi
|
||||
}%
|
||||
\@rev
|
||||
\mpr@htovlist
|
||||
\ifmpr@center \hskip \wd\mpr@vlist\fi \box \mpr@vlist
|
||||
\fi
|
||||
\egroup
|
||||
}
|
||||
|
||||
%%% INFERENCE RULES
|
||||
|
||||
\@ifundefined{@@over}{%
|
||||
\let\@@over\over % fallback if amsmath is not loaded
|
||||
\let\@@overwithdelims\overwithdelims
|
||||
\let\@@atop\atop \let\@@atopwithdelims\atopwithdelims
|
||||
\let\@@above\above \let\@@abovewithdelims\abovewithdelims
|
||||
}{}
|
||||
|
||||
%% The default
|
||||
|
||||
\def \mpr@@fraction #1#2{\hbox {\advance \hsize by -0.5em
|
||||
$\displaystyle {#1\mpr@over #2}$}}
|
||||
\let \mpr@fraction \mpr@@fraction
|
||||
|
||||
%% A generic solution to arrow
|
||||
|
||||
\def \mpr@make@fraction #1#2#3#4#5{\hbox {%
|
||||
\def \mpr@tail{#1}%
|
||||
\def \mpr@body{#2}%
|
||||
\def \mpr@head{#3}%
|
||||
\setbox1=\hbox{$#4$}\setbox2=\hbox{$#5$}%
|
||||
\setbox3=\hbox{$\mkern -3mu\mpr@body\mkern -3mu$}%
|
||||
\setbox3=\hbox{$\mkern -3mu \mpr@body\mkern -3mu$}%
|
||||
\dimen0=\dp1\advance\dimen0 by \ht3\relax\dp1\dimen0\relax
|
||||
\dimen0=\ht2\advance\dimen0 by \dp3\relax\ht2\dimen0\relax
|
||||
\setbox0=\hbox {$\box1 \@@atop \box2$}%
|
||||
\dimen0=\wd0\box0
|
||||
\box0 \hskip -\dimen0\relax
|
||||
\hbox to \dimen0 {$%
|
||||
\mathrel{\mpr@tail}\joinrel
|
||||
\xleaders\hbox{\copy3}\hfil\joinrel\mathrel{\mpr@head}%
|
||||
$}}}
|
||||
|
||||
%% Old stuff should be removed in next version
|
||||
\def \mpr@@reduce #1#2{\hbox
|
||||
{$\lower 0.01pt \mpr@@fraction {#1}{#2}\mkern -15mu\rightarrow$}}
|
||||
\def \mpr@@rewrite #1#2#3{\hbox
|
||||
{$\lower 0.01pt \mpr@@fraction {#2}{#3}\mkern -8mu#1$}}
|
||||
\def \mpr@infercenter #1{\vcenter {\mpr@hovbox{T}{#1}}}
|
||||
|
||||
\def \mpr@empty {}
|
||||
\def \mpr@inferrule
|
||||
{\bgroup
|
||||
\ifnum \linewidth<\hsize \hsize \linewidth\fi
|
||||
\mpr@rulelineskip
|
||||
\let \and \qquad
|
||||
\let \hva \mpr@hva
|
||||
\let \@rulename \mpr@empty
|
||||
\let \@rule@options \mpr@empty
|
||||
\let \mpr@over \@@over
|
||||
\mpr@inferrule@}
|
||||
\newcommand {\mpr@inferrule@}[3][]
|
||||
{\everymath={\displaystyle}%
|
||||
\def \@test {#2}\ifx \empty \@test
|
||||
\setbox0 \hbox {$\vcenter {\mpr@hovbox{B}{#3}}$}%
|
||||
\else
|
||||
\def \@test {#3}\ifx \empty \@test
|
||||
\setbox0 \hbox {$\vcenter {\mpr@hovbox{T}{#2}}$}%
|
||||
\else
|
||||
\setbox0 \mpr@fraction {\mpr@hovbox{T}{#2}}{\mpr@hovbox{B}{#3}}%
|
||||
\fi \fi
|
||||
\def \@test {#1}\ifx \@test\empty \box0
|
||||
\else \vbox
|
||||
%%% Suggestion de Francois pour les etiquettes longues
|
||||
%%% {\hbox to \wd0 {\RefTirName {#1}\hfil}\box0}\fi
|
||||
{\hbox {\RefTirName {#1}}\box0}\fi
|
||||
\egroup}
|
||||
|
||||
\def \mpr@vdotfil #1{\vbox to #1{\leaders \hbox{$\cdot$} \vfil}}
|
||||
|
||||
% They are two forms
|
||||
% \inferrule [label]{[premisses}{conclusions}
|
||||
% or
|
||||
% \inferrule* [options]{[premisses}{conclusions}
|
||||
%
|
||||
% Premisses and conclusions are lists of elements separated by \\
|
||||
% Each \\ produces a break, attempting horizontal breaks if possible,
|
||||
% and vertical breaks if needed.
|
||||
%
|
||||
% An empty element obtained by \\\\ produces a vertical break in all cases.
|
||||
%
|
||||
% The former rule is aligned on the fraction bar.
|
||||
% The optional label appears on top of the rule
|
||||
% The second form to be used in a derivation tree is aligned on the last
|
||||
% line of its conclusion
|
||||
%
|
||||
% The second form can be parameterized, using the key=val interface. The
|
||||
% folloiwng keys are recognized:
|
||||
%
|
||||
% width set the width of the rule to val
|
||||
% narrower set the width of the rule to val\hsize
|
||||
% before execute val at the beginning/left
|
||||
% lab put a label [Val] on top of the rule
|
||||
% lskip add negative skip on the right
|
||||
% left put a left label [Val]
|
||||
% Left put a left label [Val], ignoring its width
|
||||
% right put a right label [Val]
|
||||
% Right put a right label [Val], ignoring its width
|
||||
% leftskip skip negative space on the left-hand side
|
||||
% rightskip skip negative space on the right-hand side
|
||||
% vdots lift the rule by val and fill vertical space with dots
|
||||
% after execute val at the end/right
|
||||
%
|
||||
% Note that most options must come in this order to avoid strange
|
||||
% typesetting (in particular leftskip must preceed left and Left and
|
||||
% rightskip must follow Right or right; vdots must come last
|
||||
% or be only followed by rightskip.
|
||||
%
|
||||
|
||||
%% Keys that make sence in all kinds of rules
|
||||
\def \mprset #1{\setkeys{mprset}{#1}}
|
||||
\define@key {mprset}{flushleft}[]{\mpr@centerfalse}
|
||||
\define@key {mprset}{center}[]{\mpr@centertrue}
|
||||
\define@key {mprset}{rewrite}[]{\let \mpr@fraction \mpr@@rewrite}
|
||||
\define@key {mprset}{myfraction}[]{\let \mpr@fraction #1}
|
||||
\define@key {mprset}{fraction}[]{\def \mpr@fraction {\mpr@make@fraction #1}}
|
||||
|
||||
\newbox \mpr@right
|
||||
\define@key {mpr}{flushleft}[]{\mpr@centerfalse}
|
||||
\define@key {mpr}{center}[]{\mpr@centertrue}
|
||||
\define@key {mpr}{rewrite}[]{\let \mpr@fraction \mpr@@rewrite}
|
||||
\define@key {mpr}{myfraction}[]{\let \mpr@fraction #1}
|
||||
\define@key {mpr}{fraction}[]{\def \mpr@fraction {\mpr@make@fraction #1}}
|
||||
\define@key {mpr}{left}{\setbox0 \hbox {$\TirName {#1}\;$}\relax
|
||||
\advance \hsize by -\wd0\box0}
|
||||
\define@key {mpr}{width}{\hsize #1}
|
||||
\define@key {mpr}{sep}{\def\mpr@sep{#1}}
|
||||
\define@key {mpr}{before}{#1}
|
||||
\define@key {mpr}{lab}{\let \RefTirName \TirName \def \mpr@rulename {#1}}
|
||||
\define@key {mpr}{Lab}{\let \RefTirName \TirName \def \mpr@rulename {#1}}
|
||||
\define@key {mpr}{narrower}{\hsize #1\hsize}
|
||||
\define@key {mpr}{leftskip}{\hskip -#1}
|
||||
\define@key {mpr}{reduce}[]{\let \mpr@fraction \mpr@@reduce}
|
||||
\define@key {mpr}{rightskip}
|
||||
{\setbox \mpr@right \hbox {\unhbox \mpr@right \hskip -#1}}
|
||||
\define@key {mpr}{LEFT}{\setbox0 \hbox {$#1$}\relax
|
||||
\advance \hsize by -\wd0\box0}
|
||||
\define@key {mpr}{left}{\setbox0 \hbox {$\TirName {#1}\;$}\relax
|
||||
\advance \hsize by -\wd0\box0}
|
||||
\define@key {mpr}{Left}{\llap{$\TirName {#1}\;$}}
|
||||
\define@key {mpr}{right}
|
||||
{\setbox0 \hbox {$\;\TirName {#1}$}\relax \advance \hsize by -\wd0
|
||||
\setbox \mpr@right \hbox {\unhbox \mpr@right \unhbox0}}
|
||||
\define@key {mpr}{RIGHT}
|
||||
{\setbox0 \hbox {$#1$}\relax \advance \hsize by -\wd0
|
||||
\setbox \mpr@right \hbox {\unhbox \mpr@right \unhbox0}}
|
||||
\define@key {mpr}{Right}
|
||||
{\setbox \mpr@right \hbox {\unhbox \mpr@right \rlap {$\;\TirName {#1}$}}}
|
||||
\define@key {mpr}{vdots}{\def \mpr@vdots {\@@atop \mpr@vdotfil{#1}}}
|
||||
\define@key {mpr}{after}{\edef \mpr@after {\mpr@after #1}}
|
||||
|
||||
\newdimen \rule@dimen
|
||||
\newcommand \mpr@inferstar@ [3][]{\setbox0
|
||||
\hbox {\let \mpr@rulename \mpr@empty \let \mpr@vdots \relax
|
||||
\setbox \mpr@right \hbox{}%
|
||||
$\setkeys{mpr}{#1}%
|
||||
\ifx \mpr@rulename \mpr@empty \mpr@inferrule {#2}{#3}\else
|
||||
\mpr@inferrule [{\mpr@rulename}]{#2}{#3}\fi
|
||||
\box \mpr@right \mpr@vdots$}
|
||||
\setbox1 \hbox {\strut}
|
||||
\rule@dimen \dp0 \advance \rule@dimen by -\dp1
|
||||
\raise \rule@dimen \box0}
|
||||
|
||||
\def \mpr@infer {\@ifnextchar *{\mpr@inferstar}{\mpr@inferrule}}
|
||||
\newcommand \mpr@err@skipargs[3][]{}
|
||||
\def \mpr@inferstar*{\ifmmode
|
||||
\let \@do \mpr@inferstar@
|
||||
\else
|
||||
\let \@do \mpr@err@skipargs
|
||||
\PackageError {mathpartir}
|
||||
{\string\inferrule* can only be used in math mode}{}%
|
||||
\fi \@do}
|
||||
|
||||
|
||||
%%% Exports
|
||||
|
||||
% Envirnonment mathpar
|
||||
|
||||
\let \inferrule \mpr@infer
|
||||
|
||||
% make a short name \infer is not already defined
|
||||
\@ifundefined {infer}{\let \infer \mpr@infer}{}
|
||||
|
||||
\def \TirNameStyle #1{\small \textsc{#1}}
|
||||
\def \tir@name #1{\hbox {\small \TirNameStyle{#1}}}
|
||||
\let \TirName \tir@name
|
||||
\let \DefTirName \TirName
|
||||
\let \RefTirName \TirName
|
||||
|
||||
%%% Other Exports
|
||||
|
||||
% \let \listcons \mpr@cons
|
||||
% \let \listsnoc \mpr@snoc
|
||||
% \let \listhead \mpr@head
|
||||
% \let \listmake \mpr@makelist
|
||||
|
||||
|
||||
|
||||
|
||||
\endinput
|
||||
@ -0,0 +1,302 @@
|
||||
% varwidth.sty v 0.9a Mar 2003 Donald Arseneau asnd@triumf.ca
|
||||
%
|
||||
% Copyright 2003 by Donald Arseneau (asnd@triumf.ca).
|
||||
% This software is released under the terms of the LaTeX Project Public
|
||||
% License (ftp://ctan.tug.org/tex-archive/macros/latex/base/lppl.txt).
|
||||
% (Essentially: Free to use, copy, distribute (sell) and change, but, if
|
||||
% changed, the name must be changed.)
|
||||
%
|
||||
% The varwidth environment is based on minipage, and takes the same
|
||||
% parameters, but the specified width is just a maximum value -- the
|
||||
% environment will be typeset with a narrower "natural" width if
|
||||
% possible.
|
||||
%
|
||||
% In a varwidth environment, paragraph line-breaks are chosen
|
||||
% according to the specified width, but each line is reset to
|
||||
% match a narrower natural width, if there is one.
|
||||
%
|
||||
% The \narrowragged command works like \raggedright, but produces
|
||||
% generally narrower lines in paragraphs, but more text in the last
|
||||
% line (the lines have more-equal lengths).
|
||||
%
|
||||
% This version works fine, but there are still many questions about
|
||||
% how it would work best. Should there be a version that avoids the
|
||||
% usual minipage formatting style?
|
||||
%
|
||||
% Numbered equations are not handled well, especially with leqno.
|
||||
% AMSmath environments have not been tried, and undoubtedly fail.
|
||||
%
|
||||
% To do: Extend v-list wrappers to handle all e-TeX primitives.
|
||||
% (pdfTeX too?)
|
||||
% Capture marks and floats, propagating them out of the box
|
||||
% Support numbered equations, including ams math.
|
||||
%
|
||||
|
||||
\ProvidesPackage{varwidth}[2003/03/10 ver 0.9a; \space
|
||||
Variable-width minipages]
|
||||
|
||||
\newcommand\narrowragged{\rightskip \z@ plus .25\hsize
|
||||
\@rightskip\rightskip \parfillskip\z@ plus .15\hsize
|
||||
\sloppy }
|
||||
|
||||
\newbox\@vwid@box
|
||||
|
||||
% The varwidth environment is based on minipage, and takes the same
|
||||
% parameters, but the specified width is only a limit -- a narrower
|
||||
% natural width may be used. \varwidth uses \minipage.
|
||||
|
||||
\def\varwidth{\let\@minipagerestore\@vwid@setup \minipage}
|
||||
|
||||
% Many things may appear on vertical lists that can't be re-processed,
|
||||
% so they have to be modified.
|
||||
|
||||
\def\@vwid@setup{%
|
||||
% several things can't appear in vertical mode, so they may get
|
||||
% a \vbox wrapped around them.
|
||||
\let\@bsphack\@vwid@bsphack % \label and others
|
||||
\let\mark\@gobble % Marks disappear in minipages anyway
|
||||
\let\@special\@vwid@special % \color and others
|
||||
\let\addtocontents\@vwid@addtocontents % \addcontentsline
|
||||
% Shifted boxes (\parshape,\hangindent) will have their shifts
|
||||
% indicated in a separate box.
|
||||
\let\@hangfrom\@vwid@hangfrom % hanging indents
|
||||
\let\list\@vwid@list
|
||||
\let\endtrivlist\@vwid@endtrivlist
|
||||
\postdisplaypenalty\@vwid@posteqp
|
||||
\predisplaypenalty\@vwid@preeqp
|
||||
\def\@eqnnum{\aftergroup\@vwid@afterva\@@vwid@eqnnum}%
|
||||
\global\@vwid@roff\z@ \global\@vwid@loff\z@
|
||||
% Begin an inner minipage-like vertical box (in \@tempboxa)
|
||||
\let\@minipagerestore\@@vwid@minipagerestore \@minipagerestore
|
||||
\setbox\@tempboxa\vbox\bgroup\begingroup
|
||||
% Flag the top of the list
|
||||
\penalty\@vwid@toppen
|
||||
}
|
||||
|
||||
\let\@@vwid@minipagerestore\@minipagerestore
|
||||
|
||||
% At end of varwidth environment.
|
||||
\def\endvarwidth{\par\@@par
|
||||
% Handle minipage-style notes.
|
||||
\ifvoid\@mpfootins\else
|
||||
\vskip\skip\@mpfootins
|
||||
\normalcolor
|
||||
\@vwid@wrap\footnoterule
|
||||
\unvbox\@mpfootins
|
||||
\fi
|
||||
\unskip
|
||||
\endgroup\egroup % got my \@tempboxa
|
||||
% {\showoutput\showbox\@tempboxa}%
|
||||
% in a discarded box, sift through list measuring max width.
|
||||
\begingroup\setbox\z@\vbox\bgroup
|
||||
%\message{-------------------------------------------------------------}%
|
||||
%\message{First pass; hsize=\the\hsize... }%{\tracingall\showlists}%%
|
||||
\unvcopy\@tempboxa
|
||||
\@tempdima-\maxdimen
|
||||
\let\@vwid@resetb\@vwid@measure
|
||||
\let\@vwid@append\relax
|
||||
\sift@deathcycles\z@
|
||||
\@vwid@sift
|
||||
\xdef\@vwid@{\the\@tempdima}%
|
||||
\egroup\endgroup
|
||||
% Done measuring. Now empty \@tempboxa onto current vertical list
|
||||
% which is the contents of a minipage environment
|
||||
%\message{Got natural width \@vwid@. }%
|
||||
\unvbox\@tempboxa
|
||||
% If the natural width is narrower, then go back through the list
|
||||
% reboxing and moving everything into \@vwid@box; then spill \@vwid@box
|
||||
\ifdim\@vwid@<\hsize
|
||||
\hsize\@vwid@
|
||||
\setbox\@vwid@box\vbox{}%
|
||||
\sift@deathcycles\z@
|
||||
%\message{----------------------------------------------------------------}%
|
||||
%\message{Second pass; hsize=\the\hsize... }%{\tracingall\showlists}%
|
||||
\@vwid@sift
|
||||
\unvbox\@vwid@box
|
||||
\fi
|
||||
% end the minipage environment
|
||||
\endminipage}
|
||||
|
||||
%
|
||||
% Here are definitions for sifting through the vertical list, either
|
||||
% measuring things or reboxing them.
|
||||
%
|
||||
% Penalties used as signals to the vertical-list processor:
|
||||
|
||||
\mathchardef\@vwid@posteqp 17321 % Penalty below equations
|
||||
\mathchardef\@vwid@preeqp 17322 % Penalty above equations
|
||||
\mathchardef\@vwid@postnump 17323 % Penalty below numbered equations
|
||||
\mathchardef\@vwid@toppen 17324 % Penalty marking top of vertical list
|
||||
\mathchardef\@vwid@offsets 17325 % Penalty below special h-offsets box
|
||||
\mathchardef\@vwid@postw 17326 % Penalty below a \vbox-wrapped object
|
||||
|
||||
\newcount\sift@deathcycles
|
||||
|
||||
\def\@vwid@sift{%
|
||||
\skip@\lastskip\unskip
|
||||
\dimen@\lastkern\unkern
|
||||
\count@\lastpenalty\unpenalty
|
||||
\setbox\z@\lastbox
|
||||
%{\showoutput\showbox\z@}%
|
||||
\ifvoid\z@ \advance\sift@deathcycles\@ne \else \sift@deathcycles\z@ \fi
|
||||
\ifnum\sift@deathcycles>33
|
||||
\let\@vwid@sift\relax
|
||||
\PackageWarning{varwidth}{Failed to reprocess entire contents}%
|
||||
\fi
|
||||
%\message{\the\sift@deathcycles: skip \the\skip@; kern \the\dimen@; penalty \the\count@. }%
|
||||
%\ifhbox\z@\setbox99\hbox to0pt{\unhcopy\z@}\fi % = message
|
||||
\ifnum\count@=\@vwid@preeqp \@vwid@eqmodefalse\fi
|
||||
%\ifnum\count@=\@vwid@preeqp \message{End equation mode. }\fi
|
||||
\ifnum\count@=\@vwid@posteqp \@vwid@eqmodetrue\fi
|
||||
%\ifnum\count@=\@vwid@posteqp\message{Begin equation mode. }\fi
|
||||
%\if@vwid@eqmode {\showoutput\showbox\z@}\fi
|
||||
\ifnum\count@=\@vwid@toppen % finished
|
||||
\let\@vwid@sift\relax
|
||||
\else\ifnum\count@=\@vwid@offsets
|
||||
\@vwid@setoffsets
|
||||
\else
|
||||
\ifnum\count@=\@vwid@postw
|
||||
\else
|
||||
\@vwid@resetb % reset box \z@ or measure it
|
||||
\fi
|
||||
\@vwid@append
|
||||
\fi\fi
|
||||
\@vwid@sift}
|
||||
|
||||
\def\@vwid@setoffsets{%
|
||||
\setbox\z@=\hbox{\unhbox\z@
|
||||
\global\@vwid@roff\lastkern\unkern
|
||||
\global\@vwid@loff\lastkern\unkern}%
|
||||
%\message{Set offsets to \the\@vwid@loff, \the\@vwid@roff. }%
|
||||
}
|
||||
|
||||
\def\@vwid@append{% Append contents of box \z@ and glue to \@vwid@box
|
||||
\setbox\@vwid@box\vbox{%
|
||||
\unvbox\z@
|
||||
\ifdim\dimen@=\z@\else \kern\dimen@ \fi
|
||||
\vskip\skip@
|
||||
\unvbox\@vwid@box
|
||||
}%{\tracingall\showbox\@vwid@box}%
|
||||
}
|
||||
|
||||
% reset box \z@ to \hsize, applying shifts, and wrap in vbox
|
||||
% Don't worry about numbered equations because we won't get
|
||||
% here if there are any.
|
||||
\def\@vwid@resetb{%
|
||||
\setbox\z@\vbox\bgroup
|
||||
\ifvoid\z@
|
||||
\else
|
||||
\ifvbox\z@
|
||||
\box\z@
|
||||
\else % \hbox
|
||||
\@tempdima\hsize
|
||||
\advance\@tempdima-\@vwid@roff
|
||||
\advance\@tempdima-\@vwid@loff
|
||||
\advance\@tempdima-\p@
|
||||
\ifdim\wd\z@>\@tempdima % full-width line; rebox it
|
||||
%\message{An ordinary line or alignment. }%
|
||||
\hbox to\hsize
|
||||
{\kern\@vwid@loff \unhbox\z@ \kern\@vwid@roff}%
|
||||
\else % an equation or direct \hbox
|
||||
\if@vwid@eqmode % re-center unnumbered equations
|
||||
%\message{A centered equation hsize=\the\hsize. }%
|
||||
\hbox to\hsize
|
||||
{\hskip\@vwid@loff\@plus1fil
|
||||
\unhbox\z@ \hskip\@vwid@roff\@plus1fil}%
|
||||
\else % plain narrow \hbox; leave it as-is
|
||||
\box\z@
|
||||
\fi\fi\fi\fi
|
||||
\egroup}
|
||||
|
||||
\def\@vwid@measure{%
|
||||
\ifvoid\z@
|
||||
\else
|
||||
% numbered equations not part of alignments can't be reset,
|
||||
% so force retention of full width.
|
||||
\ifnum\count@=\@vwid@postnump \ifdim\wd\z@<\linewidth
|
||||
\ifdim\@tempdima<\linewidth \@tempdima\linewidth \fi
|
||||
\fi\fi
|
||||
\ifhbox\z@
|
||||
\setbox\z@=\hbox
|
||||
{\kern\@vwid@loff \unhbox\z@ \kern\@vwid@roff}%
|
||||
\fi
|
||||
\ifdim\wd\z@>\@tempdima \@tempdima\wd\z@ \fi
|
||||
\fi}
|
||||
|
||||
\newdimen\@vwid@loff
|
||||
\newdimen\@vwid@roff
|
||||
|
||||
\let\@@bsphack\@bsphack
|
||||
\let\@@esphack\@esphack
|
||||
\let\@@esphack\@Esphack
|
||||
|
||||
\def\@vwid@bsphack{\@@bsphack
|
||||
\ifx\@vwid@wrap\@firstofone
|
||||
\bgroup
|
||||
\else
|
||||
\ifvmode
|
||||
\setbox\@vwid@box \vbox\bgroup \vbox\bgroup
|
||||
\let\@vwid@wrap\@firstofone
|
||||
\def\@esphack{\@vwid@esphack\@@esphack}%
|
||||
\def\@Esphack{\@vwid@esphack\@@Esphack}%
|
||||
\fi
|
||||
\fi}
|
||||
|
||||
\def\@vwid@esphack{\egroup
|
||||
\ifx\@vwid@wrap\@firstofone\else
|
||||
\egroup % end outer box
|
||||
\unvbox\@vwid@box % put inner box on list without lineskip
|
||||
\penalty\@vwid@postw
|
||||
\fi}
|
||||
|
||||
% \vbox Wrapper for misc vlist items
|
||||
\long\def\@vwid@wrap{\relax
|
||||
\ifvmode\expandafter\@vwid@dowrap \else \expandafter\@firstofone \fi}
|
||||
\long\def\@vwid@dowrap#1{%
|
||||
\setbox\@vwid@box \vbox{\vbox{\let\@vwid@wrap\@firstofone
|
||||
#1}\penalty\@vwid@postw
|
||||
}\unvbox\@vwid@box }
|
||||
|
||||
\let\@@vwid@special\special
|
||||
\let\@@vwid@addtocontents\addtocontents
|
||||
\let\@@vwid@list\list
|
||||
\let\@@vwid@endtrivlist\endtrivlist
|
||||
\let\@@vwid@eqnnum\@eqnnum
|
||||
|
||||
\long\def\@vwid@special#1{\@vwid@wrap{\@@vwid@special{#1}}}
|
||||
\long\def\@vwid@addtocontents#1#2{\@vwid@wrap{\@@vwid@addtocontents{#1}{#2}}}
|
||||
|
||||
\long\def\@vwid@hangfrom#1{\par
|
||||
\setbox\@tempboxa\hbox{{#1}}%
|
||||
\setbox\@vwid@box \vbox{\hbox{\kern\z@ \kern\z@
|
||||
}\penalty\@vwid@offsets}\unvbox\@vwid@box
|
||||
\def\par{\relax\ifhmode\unskip\fi
|
||||
\vadjust{\hbox{\kern\hangindent\kern\z@}\penalty\@vwid@offsets}%
|
||||
\@restorepar\par}%
|
||||
\hangindent \wd\@tempboxa\noindent\box\@tempboxa}
|
||||
|
||||
\def\@vwid@list{\@vwid@setlist\@@vwid@list}
|
||||
\def\@vwid@endtrivlist{\@vwid@setlist\@@vwid@endtrivlist}
|
||||
|
||||
\def\@vwid@setlist{\relax\ifhmode \unskip\expandafter\vadjust\fi
|
||||
{\setbox\@vwid@box \vbox{\hbox{%
|
||||
\advance\hsize-\linewidth \advance\hsize-\@totalleftmargin
|
||||
\kern\@totalleftmargin \kern\hsize}%
|
||||
\penalty\@vwid@offsets}%
|
||||
\unvbox\@vwid@box}}
|
||||
|
||||
\newif\if@vwid@eqmode
|
||||
|
||||
\def\@vwid@afterva{\vadjust{\penalty\@vwid@postnump}}
|
||||
|
||||
% Should I do this? ...
|
||||
|
||||
\@ifundefined{newcolumntype}{}{%
|
||||
\@ifundefined{NC@rewrite@V}{
|
||||
\newcolumntype{V}[1]{%
|
||||
>{\begin{varwidth}[t]{#1}\narrowragged\let\\\tabularnewline}%
|
||||
l%
|
||||
<{\@finalstrut\@arstrutbox\end{varwidth}}}
|
||||
}{}
|
||||
}
|
||||
|
||||
Loading…
Reference in New Issue