Index: doc/man/README
===================================================================
--- doc/man/README	(revision adcdd2ffceadd5c6f09a325cc6644532ea21eea9)
+++ doc/man/README	(revision adcdd2ffceadd5c6f09a325cc6644532ea21eea9)
@@ -0,0 +1,5 @@
+There are two troff variables at the beginning of the source files that define
+the home path to cfa and the version number.  The version variable should be
+set properly (we sometimes forget); change the path for the home variable to
+the location where cfa is installed. There is a command at the beginning of the
+source file to format the manual entry.
Index: doc/man/cfa.1
===================================================================
--- doc/man/cfa.1	(revision adcdd2ffceadd5c6f09a325cc6644532ea21eea9)
+++ doc/man/cfa.1	(revision adcdd2ffceadd5c6f09a325cc6644532ea21eea9)
@@ -0,0 +1,186 @@
+.\"                             -*- Mode: Nroff -*- 
+.\" 
+.\" uC++ Version 6.1.0, Copyright (C) Peter A. Buhr 1994
+.\" 
+.\" u++.1 -- 
+.\" 
+.\" Author           : Peter A. Buhr
+.\" Created On       : Sat Jul  2 21:47:05 1994
+.\" Last Modified By : Peter A. Buhr
+.\" Last Modified On : Fri Apr  6 13:44:28 2012
+.\" Update Count     : 52
+.\" 
+.\" nroff -man u++.1
+.\"
+.ds Ho "/usr/local
+.ds Vr "u++\-6.1.0
+.TH u++ 1
+.SH NAME
+u++ \- uC++ Translator and Concurrency Runtime System
+.SH SYNOPSIS
+u++ [-option [...]] [filename [...]]
+.SH DESCRIPTION
+The u++ command compiles uC++ and C++ source files and links C++ object files
+named on the command line.
+
+The u++ command introduces a translator pass over the specified source files
+after the C preprocessor but before the actual C++ compilation.  The translator
+converts several new uC++ constructs into C++ statements.  The u++ command also
+provides the runtime concurrency library, which must be linked with each uC++
+application.
+
+The command line options depend on the particular C++ compiler used.  As with
+most C compilers, the output is sent to the file a.out(5) unless the -o option
+is present on the command line.  See the reference pages for g++(1) and CC(1)
+for more information.
+.SH OPTIONS
+When multiple conflicting options appear on the command line, e.g.,
+.B -debug
+followed by
+.B -nodebug,
+the last option takes precedence.
+All of the options available to the C++ compiler are available to u++, plus the
+following:
+.IP -debug 3
+The program is linked with the debugging version of the unikernel or
+multikernel.  The debug version performs runtime checks to help during the
+debugging phase of a uC++ program, but substantially slows the execution of the
+program. This option is the default.
+.IP -nodebug
+The program is linked with the non-debugging version of the unikernel or
+multikernel, so the execution of the program is faster.  However, no runtime
+checks or asserts are performed so errors usually result in abnormal program
+termination.
+.IP -yield
+When a program is translated, a random number of context switches occur at the
+beginning of each member routine so that during execution on a uniprocessor
+there is a better simulation of parallelism.  (This non-determinism in
+execution is in addition to random context switching due to pre-emptive
+scheduling.  The extra yields of execution can help during the debugging phase
+of a uC++ program, but substantially slows the execution of the program.
+.IP -noyield
+Additional context switches are not inserted in member routines.  This option
+is the default.
+.IP -verify
+When a program is translated, a check to verify that the stack has not
+overflowed occurs at the beginning of each member routine.  Verifying the
+stack has not overflowed is important during the debugging phase of a uC++
+program, but slows the execution of the program.
+.IP -noverify
+Stack-overflow checking is not inserted in member routines.  This option is the
+default.
+.IP -multi
+The program is linked with the multikernel.  See the uC++ RUNTIME KERNELS
+section below.
+.IP -nomulti
+The program is linked with the unikernel.  This option is the default.  See the
+uC++ RUNTIME KERNELS section below.
+.IP -quiet
+The uC++ compilation message is not printed at the beginning of a
+compilation.
+.IP -noquiet
+The uC++ compilation message is printed at the beginning of a compilation.
+This option is the default.
+.IP -U++
+Only the C preprocessor and the uC++ translator steps are performed and the
+transformed program is written to standard output, which makes it possible to
+examine the code generated by the uC++ translator.
+.IP "-compiler path-name"
+The path-name of the compiler used to compile a uC++ program(s).  The default
+is the compiler used to compile the uC++ runtime library.  It is unsafe to use
+a different compiler unless the generated code is binary compatible.
+.SH uC++ RUNTIME KERNELS
+There are two versions of the uC++ kernel: the unikernel, which is designed to
+use a single processor; and the multikernel, which is designed to use several
+processors.  Thus, the unikernel is sensibly used on systems with a single
+hardware processor or when kernel threads are unavailable; the multikernel is
+sensibly used on systems that have multiple hardware processors and when kernel
+threads are available.  The table below shows the situations where each kernel
+can be used.  The unikernel can be used in a system with multiple hardware
+processors and kernel threads but does not take advantage of either of these
+capabilities.  The multikernel can be used on a system with a single hardware
+processor and kernel threads but performs less efficiently than the unikernel
+because it uses multiprocessor techniques unnecessarily.
+.DS B
+            +-----------+-------------------------+
+            | no kernel |         kernel          |
+            | threads   |         threads         |
+ +----------+-----------+-------------------------+
+ |single    |uni: yes   |uni: yes                 |
+ |processor |multi: no  |multi: yes (inefficient) |
+ +----------+-----------+-------------------------+
+ |multiple  |uni: yes   |uni: yes (no parallelism)|
+ |processors|multi: no  |multi: yes               |
+ +----------+-----------+-------------------------+
+.DE
+.SH PREPROCESSOR VARIABLES
+When programs are compiled using u++, the following preprocessor variables are
+available.  These variables allow conditional compilation of programs that must
+work differently in these situations.
+.IP __U_CPLUSPLUS__ 3
+is always available during preprocessing and its value is the current major
+version number.
+.IP __U_CPLUSPLUS_MINOR__
+is always available during preprocessing and its value is the current minor
+version number.
+.IP __U_CPLUSPLUS_PATCH__
+is always available during preprocessing and its value is the current patch
+version number.
+.IP __U_DEBUG__
+is available during preprocessing if the -debug compilation option is
+specified.
+.IP __U_YIELD__
+is available during preprocessing if the -yield compilation option is
+specified.
+.IP __U_VERIFY__
+is available during preprocessing if the -verify compilation option is
+specified.
+.IP __U_MULTI__
+is available during preprocessing if the -multi compilation option is specified.
+.SH FILES
+.DS B
+file.{cc,C} - uC++ source file
+.br
+file.s - assembly language file
+.br
+file.o - object file
+.br
+\*(Ho/bin/u++ - translator
+.br
+\*(Ho/\*(Vr/doc - reference manual and license
+.br
+\*(Ho/\*(Vr/inc - header files
+.br
+\*(Ho/\*(Vr/lib - run time libraries
+.br
+\*(Ho/\*(Vr/man - command documentation
+.br
+\*(Ho/\*(Vr/src - source code (optional)
+.DE
+.SH SEE ALSO
+CC(1), cpp(1), g++(1)
+.br
+.I "uC++ Annotated Reference Manual"
+.br
+.I "Understanding Control Flow with Concurrent Programming using uC++"
+.SH REFERENCES
+.HP 3
+.I "uC++: Concurrency in the Object-Oriented Language C++,"
+by P.A. Buhr, G. Ditchfield, R.A. Stroobosscher, B.M. Younger, C.R. Zarnke;
+Software-Practise and Experience, 22(2):137--172, February 1992.  This paper
+describes uC++ v2.0, which has been significantly extended.
+.HP
+.I "Examining uC++,"
+by Peter A. Buhr and Richard C. Bilson;
+Dr. Dobb's Journal : Software Tools for the Professional Programmer,
+31(2):36--40, February 2006. <http://drdobbs.com/cpp/184406431>
+.HP
+.I "uC++ Annotated Reference Manual"
+most up-to-date features.
+.SH BUGS
+Bugs should be reported to usystem@plg.uwaterloo.ca.
+.SH COPYRIGHT
+This library is covered under the GNU Lesser General Public License.
+.SH AUTHORS
+Peter A. Buhr (pabuhr@plg.uwaterloo.ca) and many others, Programming Languages
+Group, University of Waterloo, Ontario, Canada, N2L 3G1.
Index: doc/refrat/Makefile
===================================================================
--- doc/refrat/Makefile	(revision 50eac1b9aebf9a91794280deee4d312e282b4891)
+++ 	(revision )
@@ -1,73 +1,0 @@
-## Define the appropriate configuration variables.
-
-TeXLIB = .::
-LaTeX  = TEXINPUTS=${TeXLIB} && export TEXINPUTS && latex
-BibTeX = BSTINPUTS=${TeXLIB} && export BSTINPUTS && bibtex
-
-## Define the text source files.
-
-SOURCES = ${addsuffix .tex, \
-refrat \
-}
-
-FIGURES = ${addsuffix .tex, \
-}
-
-PICTURES = ${addsuffix .pstex, \
-}
-
-PROGRAMS = ${addsuffix .tex, \
-}
-
-GRAPHS = ${addsuffix .tex, \
-}
-
-## Define the documents that need to be made.
-
-DOCUMENT = refrat.pdf
-
-# Directives #
-
-all : ${DOCUMENT}
-
-clean :
-	rm -f *.bbl *.aux *.dvi *.idx *.ilg *.ind *.brf *.out *.log *.toc *.blg *.pstex_t *.cf \
-		${FIGURES} ${PICTURES} ${PROGRAMS} ${GRAPHS} ${basename ${DOCUMENT}}.ps ${DOCUMENT}
-
-# File Dependencies #
-
-${DOCUMENT} : ${basename ${DOCUMENT}}.ps
-	ps2pdf $<
-
-${basename ${DOCUMENT}}.ps : ${basename ${DOCUMENT}}.dvi
-	dvips $< -o $@
-
-${basename ${DOCUMENT}}.dvi : Makefile ${GRAPHS} ${PROGRAMS} ${PICTURES} ${FIGURES} ${SOURCES} ${basename ${DOCUMENT}}.tex ${basename ${DOCUMENT}}.bib
-	# Conditionally create an empty *.ind (index) file for inclusion until makeindex is run.
-	if [ ! -r ${basename $@}.ind ] ; then touch ${basename $@}.ind ; fi
-	# Must have *.aux file containing citations for bibtex
-	if [ ! -r ${basename $@}.aux ] ; then ${LaTeX} ${basename $@}.tex ; fi
-	-${BibTeX} ${basename $@}
-	# Some citations reference others so run steps again to resolve these citations
-	${LaTeX} ${basename $@}.tex
-	-${BibTeX} ${basename $@}
-	# Make index from *.aux entries and input index at end of document
-	makeindex -s indexstyle ${basename $@}.idx
-	${LaTeX} ${basename $@}.tex
-	# Run again to get index title into table of contents
-	${LaTeX} ${basename $@}.tex
-
-predefined :
-	sed -f predefined.sed ${basename ${DOCUMENT}}.tex > ${basename $@}.cf
-
-## Define the default recipes.
-
-%.tex : %.fig
-	fig2dev -L eepic $< > $@
-
-%.ps : %.fig
-	fig2dev -L ps $< > $@
-
-# Local Variables: #
-# compile-command: "make" #
-# End: #
Index: doc/refrat/indexstyle
===================================================================
--- doc/refrat/indexstyle	(revision 50eac1b9aebf9a91794280deee4d312e282b4891)
+++ 	(revision )
@@ -1,2 +1,0 @@
-preamble ""
-postamble ""
Index: doc/refrat/predefined.sed
===================================================================
--- doc/refrat/predefined.sed	(revision 50eac1b9aebf9a91794280deee4d312e282b4891)
+++ 	(revision )
@@ -1,5 +1,0 @@
-/^\\predefined/,/^\\end{lstlisting}/ !d
-/^\\begin{lstlisting}/,/^\\end{lstlisting}/ s/@\\use{.*}@//g
-/^\\predefined/ d
-/^\\begin{lstlisting}/ d
-/^\\end{lstlisting}/ d
Index: doc/refrat/refrat.bib
===================================================================
--- doc/refrat/refrat.bib	(revision 50eac1b9aebf9a91794280deee4d312e282b4891)
+++ 	(revision )
@@ -1,119 +1,0 @@
-@string{sigplan="SIGPLAN Notices"}
-
-@manual{ANS:C,
-    keywords = {ANSI C},
-    contributer = {gjditchfield@msg},
-    title = {American National Standard for Information Systems --
-	  Programming Language -- {C}},
-    organization = {American National Standards Institute},
-    address = {1430 Broadway, New York, New York  10018},
-    month = dec, year = 1989,
-    note = {X3.159-1989}
-}
-
-@manual{ANS:C11,
-    keywords = {ANS:C11},
-    contributer = {gjditchfield@acm.org},
-    title = {American National Standard Information Systems --
-	  Programming languages -- {C}},
-    organization = {American National Standards Institute},
-    address = {25 West 43rd Street, New York, New York 10036},
-    month = may, year = 2012,
-    note = {INCITS/ISO/IEC 9899-2011[2012]}
-}
-
-@book{c++,
-    keywords = {C++, ANSI},
-    author = {Margaret A. Ellis and Bjarne Stroustrup},
-    title = {The Annotated {C}{\tt ++} Reference Manual},
-    publisher = {Addison Wesley},
-    year = 1990,
-    edition = {first}
-}
-
-@Unpublished{Ditchfield96:Overview,
-  author = 	 "Glen Ditchfield",
-  title = 	 "An Overview of Cforall",
-  note = 	 "in preparation",
-  year =	 1996
-}
-
-@article{Bak:overload,
-    keywords = {compilation},
-    contributer = {gjditchfield@msg},
-    author = {T. P. Baker},
-    title = {A One-Pass Algorithm for Overload Resolution in {Ada}},
-    journal = toplas,
-    year = 1982,
-    month = oct, volume = 4, number = 4, pages = {601--614},
-    abstract = {
-        A simple method is presented for detecting ambiguities and finding
-	the correct interpretations of expressions in the programming
-	language Ada.  Unlike previously reported solutions to this
-	problem, which require multiple passes over a tree structure, the
-	method described here operates in one bottom-up pass, during which
-	a directed acyclic graph is produced.  The correctness of this
-	approach is demonstrated by a brief formal argument.
-    },
-    comment = {
-	See also \cite{D:overload}.
-	}
-}
-
-@article{Cormack90,
-    keywords	= {polymorphism},
-    contributer	= {pabuhr@msg},
-    author	= {G. V. Cormack and A. K. Wright},
-    title	= {Type-dependent Parameter Inference},
-    journal	= sigplan,
-    volume	= 25,
-    number	= 6,
-    month	= jun,
-    year	= 1990,
-    pages	= {127--136},
-    note	= {Proceedings of the ACM Sigplan'90 Conference on Programming Language Design and Implementation
-		   June 20-22, 1990, White Plains, New York, U.S.A.},
-}
-
-@book{clu,
-    keywords = {CLU},
-    contributer = {gjditchfield@msg},
-    author = {Barbara Liskov and Russell Atkinson and Toby Bloom and Eliot
-    Moss and J. Craig Schaffert and Robert Scheifler and Alan Snyder},
-    title = {CLU Reference Manual},
-    publisher = {Springer-Verlag},
-    year = 1981,
-    volume = 114,
-    series = {Lecture Notes in Computer Science}
-}
-
-@manual{SIMULA87,
-    keywords = {Simula standard},
-    contributer = {gjditchfield@msg},
-    title = {Databehandling -- Programspr{\aa}k -- {SIMULA}},
-    organization = {Standardiseringskommissionen i Sverige},
-    note = {Svensk Standard SS 63 61 14},
-    year = 1987,
-    abstract = {
-        Standard for the programming language SIMULA.  Written in English.
-    }
-}
-
-@manual{ada,
-    keywords	= {Ada, packages, tasks, exceptions},
-    contributer	= {pabuhr@msg},
-    title	= {The Programming Language {Ada}: Reference Manual},
-    organization= {United States Department of Defense},
-    edition	= {{ANSI/MIL-STD-1815A-1983}},
-    month	= feb,
-    year	= 1983,
-    note	= {Published by Springer-Verlag}
-}
-
-@inproceedings{Thompson90new,
-  title = {A New C Compiler},
-  author = {Ken Thompson},
-  booktitle = {Proceedings of the Summer 1990 UKUUG Conference},
-  year = 1990,
-  pages = {41--51}
-}
Index: doc/refrat/refrat.tex
===================================================================
--- doc/refrat/refrat.tex	(revision 50eac1b9aebf9a91794280deee4d312e282b4891)
+++ doc/refrat/refrat.tex	(revision adcdd2ffceadd5c6f09a325cc6644532ea21eea9)
@@ -1,4736 +1,0 @@
-% requires tex packages: texlive-base texlive-latex-base tex-common texlive-humanities texlive-latex-extra texlive-fonts-recommended
-
-\documentclass[openright,twoside]{report}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-% Latex packages used in the document.
-
-\usepackage{fullpage,times}
-\usepackage{xspace}
-\usepackage{varioref}
-\usepackage{listings}
-\usepackage{comment}
-\usepackage{latexsym}					% \Box
-\usepackage{mathptmx}					% better math font with "times"
-\usepackage[pagewise]{lineno}
-\renewcommand{\linenumberfont}{\scriptsize\sffamily}
-\usepackage[dvips,plainpages=false,pdfpagelabels,pdfpagemode=UseNone,colorlinks=true,pagebackref=true,linkcolor=blue,citecolor=blue,urlcolor=blue,pagebackref=true,breaklinks=true]{hyperref}
-\usepackage{breakurl}
-\urlstyle{sf}
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-% Names used in the document.
-
-\newcommand{\CFA}{Cforall\xspace}		% set language text name
-\newcommand{\CFAA}{C$\forall$\xspace}	% set language symbolic name
-\newcommand{\CC}{C\kern-.1em\hbox{+\kern-.25em+}\xspace} % CC symbolic name
-\def\c11{ISO/IEC C} % C11 name (cannot have numbers in latex command name)
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-% Bespoke macros used in the document.
-
-\makeatletter
-% index macros
-\newcommand{\italic}[1]{\emph{\hyperpage{#1}}}
-\newcommand{\definition}[1]{\textbf{\hyperpage{#1}}}
-\newcommand{\see}[1]{\emph{see} #1}
-
-% Define some commands that produce formatted index entries suitable for cross-references.
-% ``\spec'' produces entries for specifications of entities.  ``\impl'' produces entries for their
-% implementations, and ``\use'' for their uses.
-
-%  \newcommand{\bold}[1]{{\bf #1}}
-%  \def\spec{\@bsphack\begingroup
-%             \def\protect##1{\string##1\space}\@sanitize
-%             \@wrxref{|bold}}
-\def\impl{\@bsphack\begingroup
-          \def\protect##1{\string##1\space}\@sanitize
-          \@wrxref{|definition}}
-\newcommand{\indexcode}[1]{{\lstinline$#1$}}
-\def\use{\@bsphack\begingroup
-         \def\protect##1{\string##1\space}\@sanitize
-         \@wrxref{|hyperpage}}
-\def\@wrxref#1#2{\let\thepage\relax
-    \xdef\@gtempa{\write\@indexfile{\string
-    \indexentry{#2@{\lstinline$#2$}#1}{\thepage}}}\endgroup\@gtempa
-    \if@nobreak \ifvmode\nobreak\fi\fi\@esphack}
-%\newcommand{\use}[1]{\index{#1@{\lstinline$#1$}}}
-%\newcommand{\impl}[1]{\index{\protect#1@{\lstinline$\protect#1$}|definition}}
-
-% text inline and lowercase index: \Index{Inline and index text}
-% text inline and as-in index: \Index{Inline and Index text}
-% text inline but index with different as-is text: \Index[index text]{inline text}
-\newcommand{\Index}{\@ifstar\@sIndex\@Index}
-\newcommand{\@Index}[2][\@empty]{\lowercase{\def\temp{#2}}#2\ifx#1\@empty\index{\temp}\else\index{#1@{\protect#2}}\fi}
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-\makeatother
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-% blocks and titles
-\newcommand{\define}[1]{\emph{#1\/}\index{#1}}
-\newenvironment{rationale}{%
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-\newcommand{\predefined}{\paragraph{Predefined Identifiers}~\par\noindent}
-
-% BNF macros
-\def\syntax{\paragraph{Syntax}\trivlist\parindent=.5in\item[\hskip.5in]}
-\let\endsyntax=\endtrivlist
-\newcommand{\lhs}[1]{\par{\emph{#1:}}\index{#1@{\emph{#1}}|italic}}
-\newcommand{\rhs}{\hfil\break\hbox{\hskip1in}}
-\newcommand{\oldlhs}[1]{\emph{#1: \ldots}\index{#1@{\emph{#1}}|italic}}
-\newcommand{\nonterm}[1]{\emph{#1\/}\index{#1@{\emph{#1}}|italic}}
-\newcommand{\opt}{$_{opt}$\ }
-
-% adjust varioref package with default "section" and "page" titles, and optional title with faraway page numbers
-% \VRef{label} => Section 2.7, \VPageref{label} => page 17
-% \VRef[Figure]{label} => Figure 3.4, \VPageref{label} => page 17
-\renewcommand{\reftextfaceafter}{\unskip}
-\renewcommand{\reftextfacebefore}{\unskip}
-\renewcommand{\reftextafter}{\unskip}
-\renewcommand{\reftextbefore}{\unskip}
-\renewcommand{\reftextfaraway}[1]{\unskip, p.~\pageref{#1}}
-\renewcommand{\reftextpagerange}[2]{\unskip, pp.~\pageref{#1}--\pageref{#2}}
-\newcommand{\VRef}[2][Section]{\ifx#1\@empty\else{#1}\nobreakspace\fi\vref{#2}}
-\newcommand{\VPageref}[2][page]{\ifx#1\@empty\else{#1}\nobreakspace\fi\pageref{#2}}
-
-% adjust listings macros
-\lstdefinelanguage{CFA}[ANSI]{C}%
-{morekeywords={asm,_Alignas,_Alignof,_At,_Atomic,_Bool,catch,catchResume,choose,_Complex,context,disable,dtype,enable,
-	fallthru,finally,forall,ftype,_Generic,_Imaginary,inline,lvalue,_Noreturn,restrict,_Static_assert,
-	_Thread_local,throw,throwResume,try,type,},
-}%
-
-\lstset{
-language=CFA,
-columns=fullflexible,
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-showtabs=true,
-tab=,
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-% replace/adjust listings characters that look bad in sanserif
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-\lst@ProcessOther{"2D}{\lst@ttfamily{-{}}{{\ttfamily\upshape -}}} % replace minus
-\lst@ProcessOther{"3C}{\lst@ttfamily{<}{\texttt{<}}} % replace less than
-\lst@ProcessOther{"3E}{\lst@ttfamily{<}{\texttt{>}}} % replace greater than
-\lst@ProcessOther{"5E}{\raisebox{0.4ex}{$\scriptstyle\land\,$}} % replace circumflex
-\lst@ProcessLetter{"5F}{\lst@ttfamily{\char95}{{\makebox[1.2ex][c]{\rule{1ex}{0.1ex}}}}} % replace underscore
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-\@empty\z@\@empty
-\makeatother
-
-\setcounter{secnumdepth}{3}     % number subsubsections
-\setcounter{tocdepth}{3}		% subsubsections in table of contents
-\makeindex
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-\begin{document}
-\pagestyle{headings}
-\linenumbers					% comment out to turn off line numbering
-
-\title{\CFA (\CFAA) Reference Manual and Rationale}
-\author{Glen Ditchfield \and Peter A. Buhr}
-\date{DRAFT\\\today}
-
-\pagenumbering{roman}
-\pagestyle{plain}
-
-\maketitle
-
-\vspace*{\fill}
-\thispagestyle{empty}
-\noindent
-\copyright\,2015 Glen Ditchfield \\ \\
-\noindent
-This work is licensed under the Creative Commons Attribution 4.0 International License. To view a
-copy of this license, visit {\small\url{http://creativecommons.org/licenses/by/4.0}}.
-\vspace*{1in}
-
-\clearpage
-\pdfbookmark[1]{Contents}{section}
-\tableofcontents
-
-\clearpage
-\pagenumbering{arabic}
-
-
-\chapter*{Introduction}\addcontentsline{toc}{chapter}{Introduction}
-
-This document is a reference manual and rationale for \CFA, a polymorphic extension of the C
-programming language. It makes frequent reference to the {\c11} standard \cite{ANS:C11}, and
-occasionally compares \CFA to {\CC} \cite{c++}.
-
-The manual deliberately imitates the ordering of the {\c11} standard (although the section numbering
-differs). Unfortunately, this means the manual contains more ``forward references'' than usual,
-making it harder to follow if the reader does not have a copy of the {\c11} standard. For a simple
-introduction to \CFA, see the companion document ``An Overview of \CFA''
-\cite{Ditchfield96:Overview}.
-
-\begin{rationale}
-Commentary (like this) is quoted with quads. Commentary usually deals with subtle points, the
-rationale behind a rule, and design decisions.
-\end{rationale}
-
-% No ``Scope'' or ``Normative references'' chapters yet.
-
-
-\setcounter{chapter}{2}
-\chapter{Terms, definitions, and symbols}
-
-Terms from the {\c11} standard used in this document have the same meaning as in the {\c11}
-standard.
-
-% No ``Conformance'' or ``Environment'' chapters yet.
-
-
-\setcounter{chapter}{5}
-\chapter{Language}
-
-
-\section{Notation}
-The syntax notation used in this document is the same as in the {\c11} standard, with one exception:
-ellipsis in the definition of a nonterminal, as in ``\emph{declaration:} \ldots'', indicates that
-these rules extend a previous definition, which occurs in this document or in the {\c11} standard.
-
-
-\section{Concepts}
-
-
-\subsection{Scopes of identifiers}\index{scopes}
-
-\CFA's scope rules differ from C's in one major respect: a declaration of an identifier may
-overload\index{overloading} outer declarations of lexically identical identifiers in the same
-\Index{name space}, instead of hiding them. The outer declaration is hidden if the two declarations
-have \Index{compatible type}, or if one declares an array type and the other declares a pointer type
-and the element type and pointed-at type are compatible, or if one has function type and the other
-is a pointer to a compatible function type, or if one declaration is a \lstinline$type$\use{type} or
-\lstinline$typedef$\use{typedef} declaration and the other is not.  The outer declaration becomes
-\Index{visible} when the scope of the inner declaration terminates.
-\begin{rationale}
-Hence, a \CFA program can declare an \lstinline$int v$ and a \lstinline$float v$ in the same
-scope; a {\CC} program can not.
-\end{rationale}
-
-
-\subsection{Linkage of identifiers}
-\index{linkage}
-
-\CFA's linkage rules differ from C's in only one respect: instances of a particular identifier with
-external or internal linkage do not necessarily denote the same object or function. Instead, in the
-set of translation units and libraries that constitutes an entire program, any two instances of a
-particular identifier with \Index{external linkage} denote the same object or function if they have
-\Index{compatible type}s, or if one declares an array type and the other declares a pointer type and
-the element type and pointed-at type are compatible, or if one has function type and the other is a
-pointer to a compatible function type. Within one translation unit, each instance of an identifier
-with \Index{internal linkage} denotes the same object or function in the same circumstances.
-Identifiers with \Index{no linkage} always denote unique entities.
-\begin{rationale}
-A \CFA program can declare an \lstinline$extern int v$ and an \lstinline$extern float v$; a C
-program cannot.
-\end{rationale}
-
-
-\setcounter{subsection}{8}
-\subsection{Generic Types}
-
-
-\subsubsection{Semantics}
-
-\CFA provides a capability for generic types; using this capability a single "generic type
-generator" can be written that can represent multiple concrete type instantiations by substitution
-of the "type parameters" of the generic type for concrete types. Syntactically a generic type
-generator is represented by putting a forall specifier on a struct or union declaration, as defined
-in \VRef{forall}. An instantiation of the generic type is written by specifying the type parameters
-in parentheses after the name of the generic type generator:
-\begin{lstlisting}
-forall( type T | sumable( T ) ) struct pair {
-	T x;
-	T y;
-};
-pair( int ) p = { 3, 14 };
-\end{lstlisting}
-
-The type parameters in an instantiation of a generic type must satisfy any constraints in the forall
-specifier on the type generator declaration, e.g., \lstinline$sumable$. The instantiation then has
-the semantics that would result if the type parameters were substituted into the type generator
-declaration by macro substitution.
-
-Polymorphic functions may have generic types as parameters, and those generic types may use type
-parameters of the polymorphic function as type parameters of the generic type:
-\begin{lstlisting}
-forall( type T ) void swap( pair(T) *p ) {
-	T z = p->x;
-	p->x = p->y;
-	p->y = z;
-}
-\end{lstlisting}
-
-
-\subsubsection{Constraints}
-
-To avoid unduly constraining implementors, the generic type generator definition must be visible at
-any point where it is instantiated.  Forward declarations of generic type generators are not
-forbidden, but the definition must be visible to instantiate the generic type.  Equivalently,
-instantiations of generic types are not allowed to be incomplete types.
-
-\examples
-\begin{lstlisting}
-forall( type T ) struct A;
-
-forall( type T ) struct B {
-	A(T) *a;  // legal, but cannot instantiate B(T)
-};
-
-B(T) x; // illegal, *x.a is of an incomplete generic type
-
-forall( type T ) struct A {
-	B( T ) *b;
-};
-
-B( T ) y; // legal, *x.a is now of a complete generic type
-
-
-// box.h:
-	forall( type T ) struct box;
-	forall( type T ) box( T ) *make_box( T );
-	forall( type T ) void use_box( box( T ) *b );
-	
-// main.c:
-	box( int ) *b = make_box( 42 ); // illegal, def'n of box not visible
-	use_box( b ); // illegal
-\end{lstlisting}
-
-
-\section{Conversions}
-\CFA defines situations where values of one type are automatically converted to another type.
-These conversions are called \define{implicit conversion}s. The programmer can request
-\define{explicit conversion}s using cast expressions.
-
-
-\subsection{Arithmetic operands}
-
-
-\setcounter{subsubsection}{8}
-\subsubsection{Safe arithmetic conversions}
-
-In C, a pattern of conversions known as the \define{usual arithmetic conversion}s is used with most
-binary arithmetic operators to convert the operands to a common type and determine the type of the
-operator's result. In \CFA, these conversions play a role in overload resolution, and
-collectively are called the \define{safe arithmetic conversion}s.
-
-Let \(int_r\) and \(unsigned_r\) be the signed and unsigned integer types with integer conversion
-rank\index{integer conversion rank}\index{rank|see{integer conversion rank}} $r$. Let
-\(unsigned_{mr}\) be the unsigned integer type with maximal rank.
-
-The following conversions are \emph{direct} safe arithmetic conversions.
-\begin{itemize}
-\item
-The \Index{integer promotion}s.
-
-\item
-For every rank $r$ greater than or equal to the rank of \lstinline$int$, conversion from \(int_r\)
-to \(unsigned_r\).
-
-\item
-For every rank $r$ greater than or equal to the rank of \lstinline$int$, where \(int_{r+1}\) exists
-and can represent all values of \(unsigned_r\), conversion from \(unsigned_r\) to \(int_{r+1}\).
-
-\item
-Conversion from \(unsigned_{mr}\) to \lstinline$float$.
-
-\item
-Conversion from an enumerated type to its compatible integer type.
-
-\item
-Conversion from \lstinline$float$ to \lstinline$double$, and from \lstinline$double$ to
-\lstinline$long double$.
-
-\item
-Conversion from \lstinline$float _Complex$ to \lstinline$double _Complex$,
-and from \lstinline$double _Complex$ to \lstinline$long double _Complex$.
-
-\begin{sloppypar}
-\item
-Conversion from \lstinline$float _Imaginary$ to \lstinline$double _Imaginary$, and from
-\lstinline$double _Imaginary$ to \lstinline$long double$ \lstinline$_Imaginary$, if the
-implementation supports imaginary types.
-\end{sloppypar}
-\end{itemize}
-
-If type \lstinline$T$ can be converted to type \lstinline$U$ by a safe direct arithmetic conversion
-and type \lstinline$U$ can be converted to type \lstinline$V$ by a safe arithmetic conversion, then
-the conversion from \lstinline$T$ to type \lstinline$V$ is an \emph{indirect} safe arithmetic
-conversion.
-
-\begin{rationale}
-Note that {\c11} does not include conversion from \Index{real type}s to \Index{complex type}s in the
-usual arithmetic conversions, and \CFA does not include them as safe conversions.
-\end{rationale}
-
-
-\subsection{Other operands}
-
-
-\setcounter{subsubsection}{3}
-\subsubsection{Anonymous structures and unions}
-\label{anon-conv}
-
-If an expression's type is a pointer to a structure or union type that has a member that is an
-\Index{anonymous structure} or an \Index{anonymous union}, it can be implicitly
-converted\index{implicit conversion} to a pointer to the anonymous structure's or anonymous union's
-type. The result of the conversion is a pointer to the member.
-
-\examples
-\begin{lstlisting}
-struct point {
-	int x, y;
-};
-void move_by(struct point * p1, struct point * p2) {@\impl{move_by}@
-	p1->x += p2.x;
-	p1->y += p2.y;
-}
-
-struct color_point {
-	enum { RED, BLUE, GREEN } color;
-	struct point;
-} cp1, cp2;
-move_to(&cp1, &cp2);
-\end{lstlisting}
-Thanks to implicit conversion, the two arguments that \lstinline$move_by()$ receives are pointers to
-\lstinline$cp1$'s second member and \lstinline$cp2$'s second member.
-
-
-\subsubsection{Specialization}
-A function or value whose type is polymorphic may be implicitly converted to one whose type is
-\Index{less polymorphic} by binding values to one or more of its \Index{inferred parameter}. Any
-value that is legal for the inferred parameter may be used, including other inferred parameters.
-
-If, after the inferred parameter binding, an \Index{assertion parameter} has no inferred parameters
-in its type, then an object or function must be visible at the point of the specialization that has
-the same identifier as the assertion parameter and has a type that is compatible\index{compatible
-  type} with or can be specialized to the type of the assertion parameter.  The assertion parameter
-is bound to that object or function.
-
-The type of the specialization is the type of the original with the bound inferred parameters and
-the bound assertion parameters replaced by their bound values.
-
-\examples
-The type
-\begin{lstlisting}
-forall( type T, type U ) void (*)( T, U );
-\end{lstlisting}
-can be specialized to (among other things)
-\begin{lstlisting}
-forall( type T ) void (*)( T, T );		// U bound to T 
-forall( type T ) void (*)( T, real );	// U bound to real 
-forall( type U ) void (*)( real, U );	// T bound to real 
-void f( real, real );					// both bound to real 
-\end{lstlisting}
-
-The type
-\begin{lstlisting}
-forall( type T | T ?+?( T, T )) T (*)( T );
-\end{lstlisting}
-can be specialized to (among other things)
-\begin{lstlisting}
-int (*)( int );						// T bound to int, and T ?+?(T, T ) bound to int ?+?( int, int ) 
-\end{lstlisting}
-
-
-\subsubsection{Safe conversions}
-
-A \define{direct safe conversion} is one of the following conversions:
-\begin{itemize}
-\item
-a direct safe arithmetic conversion;
-\item
-from any object type or incomplete type to \lstinline$void$;
-\item
-from a pointer to any non-\lstinline$void$ type to a pointer to \lstinline$void$;
-\item
-from a pointer to any type to a pointer to a more qualified version of the type\index{qualified
-type};
-\item
-from a pointer to a structure or union type to a pointer to the type of a member of the structure or
-union that is an \Index{anonymous structure} or an \Index{anonymous union};
-\item
-within the scope of an initialized \Index{type declaration}, conversions between a type and its
-implementation or between a pointer to a type and a pointer to its implementation.
-\end{itemize}
-
-Conversions that are not safe conversions are \define{unsafe conversion}s.
-\begin{rationale}
-As in C, there is an implicit conversion from \lstinline$void *$ to any pointer type. This is
-clearly dangerous, and {\CC} does not have this implicit conversion.
-\CFA\index{deficiencies!void * conversion} keeps it, in the interest of remaining as pure a
-superset of C as possible, but discourages it by making it unsafe.
-\end{rationale}
-
-
-\subsection{Conversion cost}
-
-The \define{conversion cost} of a safe\index{safe conversion}
-conversion\footnote{Unsafe\index{unsafe conversion} conversions do not have defined conversion
-costs.} is a measure of how desirable or undesirable it is. It is defined as follows.
-\begin{itemize}
-\item
-The cost of a conversion from any type to itself is 0.
-
-\item
-The cost of a direct safe conversion is 1.
-
-\item
-The cost of an indirect safe arithmetic conversion is the smallest number of direct conversions
-needed to make up the conversion.
-\end{itemize}
-
-\examples
-In the following, assume an implementation that does not provide any extended integer types.
-
-\begin{itemize}
-\item
-The cost of an implicit conversion from \lstinline$int$ to \lstinline$long$ is 1. The cost of an
-implicit conversion from \lstinline$long$ to \lstinline$double$ is 3, because it is defined in terms
-of conversions from \lstinline$long$ to \lstinline$unsigned long$, then to \lstinline$float$, and
-then to \lstinline$double$.
-
-\item
-If \lstinline$int$ can represent all the values of \lstinline$unsigned short$, then the cost of an
-implicit conversion from \lstinline$unsigned short$ to \lstinline$unsigned$ is 2:
-\lstinline$unsigned short$ to \lstinline$int$ to \lstinline$unsigned$. Otherwise,
-\lstinline$unsigned short$ is converted directly to \lstinline$unsigned$, and the cost is 1.
-
-\item
-If \lstinline$long$ can represent all the values of \lstinline$unsigned$, then the conversion cost
-of \lstinline$unsigned$ to \lstinline$long$ is 1. Otherwise, the conversion is an unsafe
-conversion, and its conversion cost is undefined.
-\end{itemize}
-
-\section{Lexical elements}
-\subsection{Keywords}
-\begin{syntax}
-\oldlhs{keyword}
-	\rhs \lstinline$forall$
-	\rhs \lstinline$lvalue$
-	\rhs \lstinline$context$
-	\rhs \lstinline$dtype$
-	\rhs \lstinline$ftype$
-	\rhs \lstinline$type$
-\end{syntax}
-
-
-\subsection{Identifiers}
-
-\CFA allows operator \Index{overloading} by associating operators with special function
-identifiers. Furthermore, the constants ``\lstinline$0$'' and ``\lstinline$1$'' have special status
-for many of C's data types (and for many programmer-defined data types as well), so \CFA treats them
-as overloadable identifiers. Programmers can use these identifiers to declare functions and objects
-that implement operators and constants for their own types.
-
-
-\setcounter{subsubsection}{2}
-\subsubsection{Constant identifiers}
-
-\begin{syntax}
-\oldlhs{identifier}
-\rhs \lstinline$0$
-\rhs \lstinline$1$
-\end{syntax}
-
-\index{constant identifiers}\index{identifiers!for constants} The tokens ``\lstinline$0$''\impl{0}
-and ``\lstinline$1$''\impl{1} are identifiers. No other tokens defined by the rules for integer
-constants are considered to be identifiers.
-\begin{rationale}
-Why ``\lstinline$0$'' and ``\lstinline$1$''? Those integers have special status in C. All scalar
-types can be incremented and decremented, which is defined in terms of adding or subtracting 1. The
-operations ``\lstinline$&&$'', ``\lstinline$||$'', and ``\lstinline$!$'' can be applied to any
-scalar arguments, and are defined in terms of comparison against 0. A \nonterm{constant-expression}
-that evaluates to 0 is effectively compatible with every pointer type.
-
-In C, the integer constants 0 and 1 suffice because the integer promotion rules can convert them to
-any arithmetic type, and the rules for pointer expressions treat constant expressions evaluating to
-0 as a special case. However, user-defined arithmetic types often need the equivalent of a 1 or 0
-for their functions or operators, polymorphic functions often need 0 and 1 constants of a type
-matching their polymorphic parameters, and user-defined pointer-like types may need a null value.
-Defining special constants for a user-defined type is more efficient than defining a conversion to
-the type from \lstinline$_Bool$.
-
-Why \emph{just} ``\lstinline$0$'' and ``\lstinline$1$''? Why not other integers? No other integers
-have special status in C. A facility that let programmers declare specific
-constants---``\lstinline$const Rational 12$'', for instance---would not be much of an improvement.
-Some facility for defining the creation of values of programmer-defined types from arbitrary integer
-tokens would be needed. The complexity of such a feature doesn't seem worth the gain.
-\end{rationale}
-
-
-\subsubsection{Operator identifiers}
-
-\index{operator identifiers}\index{identifiers!for operators} Table \ref{opids} lists the
-programmer-definable operator identifiers and the operations they are associated with. Functions
-that are declared with (or pointed at by function pointers that are declared with) these identifiers
-can be called by expressions that use the operator tokens and syntax, or the operator identifiers
-and ``function call'' syntax. The relationships between operators and function calls are discussed
-in descriptions of the operators.
-
-\begin{table}[hbt]
-\hfil
-\begin{tabular}[t]{ll}
-%identifier & operation \\ \hline
-\lstinline$?[?]$ & subscripting \impl{?[?]}\\
-\lstinline$?()$ & function call \impl{?()}\\
-\lstinline$?++$ & postfix increment \impl{?++}\\
-\lstinline$?--$ & postfix decrement \impl{?--}\\
-\lstinline$++?$ & prefix increment \impl{++?}\\
-\lstinline$--?$ & prefix decrement \impl{--?}\\
-\lstinline$*?$ & dereference \impl{*?}\\
-\lstinline$+?$ & unary plus \impl{+?}\\
-\lstinline$-?$ & arithmetic negation \impl{-?}\\
-\lstinline$~?$ & bitwise negation \impl{~?}\\
-\lstinline$!?$ & logical complement \impl{"!?}\\
-\lstinline$?*?$ & multiplication \impl{?*?}\\
-\lstinline$?/?$ & division \impl{?/?}\\
-\end{tabular}\hfil
-\begin{tabular}[t]{ll}
-%identifier & operation \\ \hline
-\lstinline$?%?$ & remainder \impl{?%?}\\
-\lstinline$?+?$ & addition \impl{?+?}\\
-\lstinline$?-?$ & subtraction \impl{?-?}\\
-\lstinline$?<<?$ & left shift \impl{?<<?}\\
-\lstinline$?>>?$ & right shift \impl{?>>?}\\
-\lstinline$?<?$ & less than \impl{?<?}\\
-\lstinline$?<=?$ & less than or equal \impl{?<=?}\\
-\lstinline$?>=?$ & greater than or equal \impl{?>=?}\\
-\lstinline$?>?$ & greater than \impl{?>?}\\
-\lstinline$?==?$ & equality \impl{?==?}\\
-\lstinline$?!=?$ & inequality \impl{?"!=?}\\
-\lstinline$?&?$ & bitwise AND \impl{?&?}\\
-\end{tabular}\hfil
-\begin{tabular}[t]{ll}
-%identifier & operation \\ \hline
-\lstinline$?^?$ & exclusive OR \impl{?^?}\\
-\lstinline$?|?$ & inclusive OR \impl{?"|?}\\
-\lstinline$?=?$ & simple assignment \impl{?=?}\\
-\lstinline$?*=?$ & multiplication assignment \impl{?*=?}\\
-\lstinline$?/=?$ & division assignment \impl{?/=?}\\
-\lstinline$?%=?$ & remainder assignment \impl{?%=?}\\
-\lstinline$?+=?$ & addition assignment \impl{?+=?}\\
-\lstinline$?-=?$ & subtraction assignment \impl{?-=?}\\
-\lstinline$?<<=?$ & left-shift assignment \impl{?<<=?}\\
-\lstinline$?>>=?$ & right-shift assignment \impl{?>>=?}\\
-\lstinline$?&=?$ & bitwise AND assignment \impl{?&=?}\\
-\lstinline$?^=?$ & exclusive OR assignment \impl{?^=?}\\
-\lstinline$?|=?$ & inclusive OR assignment \impl{?"|=?}\\
-\end{tabular}
-\hfil
-\caption{Operator Identifiers}
-\label{opids}
-\end{table}
-
-\begin{rationale}
-Operator identifiers are made up of the characters of the operator token, with question marks added
-to mark the positions of the arguments of operators. The question marks serve as mnemonic devices;
-programmers can not create new operators by arbitrarily mixing question marks and other
-non-alphabetic characters. Note that prefix and postfix versions of the increment and decrement
-operators are distinguished by the position of the question mark.
-\end{rationale}
-
-\begin{rationale}
-The use of ``\lstinline$?$'' in identifiers means that some C programs are not \CFA programs.  For
-instance, the sequence of characters ``\lstinline$(i < 0)?--i:i$'' is legal in a C program, but a
-\CFA compiler detects a syntax error because it treats ``\lstinline$?--$'' as an identifier, not
-as the two tokens ``\lstinline$?$'' and ``\lstinline$--$''.
-\end{rationale}
-
-\begin{rationale}
-Certain operators \emph{cannot} be defined by the programmer:
-\begin{itemize}
-\item
-The logical operators ``\lstinline$&&$'' and ``\lstinline$||$'', and the conditional operator
-``\lstinline$?:$''. These operators do not always evaluate their operands, and hence can not be
-properly defined by functions unless some mechanism like call-by-name is added to the language.
-Note that the definitions of ``\lstinline$&&$'' and ``\lstinline$||$'' say that they work by
-checking that their arguments are unequal to 0, so defining ``\lstinline$!=$'' and ``\lstinline$0$''
-for user-defined types is enough to allow them to be used in logical expressions.
-
-\item
-The comma operator\index{comma expression}. It is a control-flow operator like those above.
-Changing its meaning seems pointless and confusing.
-
-\item
-The ``address of'' operator. It would seem useful to define a unary ``\lstinline$&$'' operator that
-returns values of some programmer-defined pointer-like type. The problem lies with the type of the
-operator. Consider the expression ``\lstinline$p = &x$'', where \lstinline$x$ is of type
-\lstinline$T$ and \lstinline$p$ has the programmer-defined type \lstinline$T_ptr$. The expression
-might be treated as a call to the unary function ``\lstinline$&?$''. Now what is the type of the
-function's parameter? It can not be \lstinline$T$, because then \lstinline$x$ would be passed by
-value, and there is no way to create a useful pointer-like result from a value. Hence the parameter
-must have type \lstinline$T *$. But then the expression must be rewritten as ``\lstinline$p = &?( &x )$''
----which doesn't seem like progress!
-
-The rule for address-of expressions would have to be something like ``keep applying address-of
-functions until you get one that takes a pointer argument, then use the built-in operator and
-stop''. It seems simpler to define a conversion function from \lstinline$T *$ to \lstinline$T_ptr$.
-
-\item
-The \lstinline$sizeof$ operator. It is already defined for every object type, and intimately tied
-into the language's storage allocation model. Redefining it seems pointless.
-
-\item
-The ``member of'' operators ``\lstinline$.$'' and ``\lstinline$->$''. These are not really infix
-operators, since their right ``operand'' is not a value or object.
-
-\item
-Cast operators\index{cast expression}. Anything that can be done with an explicit cast can be done
-with a function call. The difference in syntax is small.
-\end{itemize}
-\end{rationale}
-
-
-\section{Expressions}
-
-\CFA allows operators and identifiers to be overloaded. Hence, each expression can have a number
-of \define{interpretation}s, each of which has a different type. The interpretations that are
-potentially executable are called \define{valid interpretation}s. The set of interpretations
-depends on the kind of expression and on the interpretations of the subexpressions that it contains.
-The rules for determining the valid interpretations of an expression are discussed below for each
-kind of expression. Eventually the context of the outermost expression chooses one interpretation
-of that expression.
-
-An \define{ambiguous interpretation} is an interpretation which does not specify the exact object or
-function denoted by every identifier in the expression. An expression can have some interpretations
-that are ambiguous and others that are unambiguous. An expression that is chosen to be executed
-shall not be ambiguous.
-
-The \define{best valid interpretations} are the valid interpretations that use the fewest
-unsafe\index{unsafe conversion} conversions. Of these, the best are those where the functions and
-objects involved are the least polymorphic\index{less polymorphic}. Of these, the best have the
-lowest total \Index{conversion cost}, including all implicit conversions in the argument
-expressions. Of these, the best have the highest total conversion cost for the implicit conversions
-(if any) applied to the argument expressions. If there is no single best valid interpretation, or if
-the best valid interpretation is ambiguous, then the resulting interpretation is
-ambiguous\index{ambiguous interpretation}.
-
-\begin{rationale}
-\CFA's rules for selecting the best interpretation are designed to allow overload resolution to
-mimic C's operator semantics. In C, the ``usual arithmetic conversions'' are applied to the
-operands of binary operators if necessary to convert the operands to types with a common real type.
-In \CFA, those conversions are ``safe''. The ``fewest unsafe conversions'' rule ensures that the
-usual conversions are done, if possible. The ``lowest total expression cost'' rule chooses the
-proper common type. The odd-looking ``highest argument conversion cost'' rule ensures that, when
-unary expressions must be converted, conversions of function results are preferred to conversion of
-function arguments: \lstinline$(double)-i$ will be preferred to \lstinline$-(double)i$.
-
-The ``least polymorphic'' rule reduces the number of polymorphic function calls, since such
-functions are presumably more expensive than monomorphic functions and since the more specific
-function is presumably more appropriate. It also gives preference to monomorphic values (such as the
-\lstinline$int$ \lstinline$0$) over polymorphic values (such as the \Index{null pointer}
-\lstinline$0$\use{0}). However, interpretations that call polymorphic functions are preferred to
-interpretations that perform unsafe conversions, because those conversions potentially lose accuracy
-or violate strong typing.
-
-There are two notable differences between \CFA's overload resolution rules and the rules for
-{\CC} defined in \cite{c++}. First, the result type of a function plays a role. In {\CC}, a
-function call must be completely resolved based on the arguments to the call in most circumstances.
-In \CFA, a function call may have several interpretations, each with a different result type, and
-the interpretations of the containing context choose among them. Second, safe conversions are used
-to choose among interpretations of all sorts of functions; in {\CC}, the ``usual arithmetic
-conversions'' are a separate set of rules that apply only to the built-in operators.
-\end{rationale}
-
-Expressions involving certain operators\index{operator identifiers} are considered to be equivalent
-to function calls. A transformation from ``operator'' syntax to ``function call'' syntax is defined
-by \define{rewrite rules}. Each operator has a set of predefined functions that overload its
-identifier. Overload resolution determines which member of the set is executed in a given
-expression. The functions have \Index{internal linkage} and are implicitly declared with \Index{file
-scope}. The predefined functions and rewrite rules are discussed below for each of these
-operators.
-\begin{rationale}
-Predefined functions and constants have internal linkage because that simplifies optimization in
-traditional compile-and-link environments. For instance, ``\lstinline$an_int + an_int$'' is
-equivalent to ``\lstinline$?+?(an_int, an_int)$''. If integer addition has not been redefined in
-the current scope, a compiler can generate code to perform the addition directly. If predefined
-functions had external linkage, this optimization would be difficult.
-\end{rationale}
-
-\begin{rationale}
-Since each subsection describes the interpretations of an expression in terms of the interpretations
-of its subexpressions, this chapter can be taken as describing an overload resolution algorithm that
-uses one bottom-up pass over an expression tree. Such an algorithm was first described (for Ada) by
-Baker~\cite{Bak:overload}. It is extended here to handle polymorphic functions and arithmetic
-conversions. The overload resolution rules and the predefined functions have been chosen so that, in
-programs that do not introduce overloaded declarations, expressions will have the same meaning in C
-and in \CFA.
-\end{rationale}
-
-\begin{rationale}
-Expression syntax is quoted from the {\c11} standard. The syntax itself defines the precedence and
-associativity of operators. The sections are arranged in decreasing order of precedence, with all
-operators in a section having the same precedence.
-\end{rationale}
-
-
-\subsection{Primary expressions}
-
-\begin{syntax}
-\lhs{primary-expression}
-\rhs \nonterm{identifier}
-\rhs \nonterm{constant}
-\rhs \nonterm{string-literal}
-\rhs \lstinline$($ \nonterm{expression} \lstinline$)$
-\rhs \nonterm{generic-selection}
-\end{syntax}
-
-\predefined
-\begin{lstlisting}
-const int 1;@\use{1}@
-const int 0;@\use{0}@
-forall( dtype DT ) DT *const 0;
-forall( ftype FT ) FT *const 0;
-\end{lstlisting}
-
-\semantics
-The \Index{valid interpretation} of an \nonterm{identifier} are given by the visible\index{visible}
-declarations of the identifier.
-
-A \nonterm{constant} or \nonterm{string-literal} has one valid interpretation, which has the type
-and value defined by {\c11}. The predefined integer identifiers ``\lstinline$1$'' and
-``\lstinline$0$'' have the integer values 1 and 0, respectively. The other two predefined
-``\lstinline$0$'' identifiers are bound to polymorphic pointer values that, when
-specialized\index{specialization} with a data type or function type respectively, produce a null
-pointer of that type.
-
-A parenthesised expression has the same interpretations as the contained \nonterm{expression}.
-
-\examples
-The expression \lstinline$(void *)0$\use{0} specializes the (polymorphic) null pointer to a null
-pointer to \lstinline$void$. \lstinline$(const void *)0$ does the same, and also uses a safe
-conversion from \lstinline$void *$ to \lstinline$const void *$. In each case, the null pointer
-conversion is better\index{best valid interpretations} than the unsafe conversion of the integer
-\lstinline$0$ to a pointer.
-
-\begin{rationale}
-Note that the predefined identifiers have addresses.
-
-\CFA does not have C's concept of ``null pointer constants'', which are not typed values but
-special strings of tokens. The C token ``\lstinline$0$'' is an expression of type \lstinline$int$
-with the value ``zero'', and it \emph{also} is a null pointer constant. Similarly,
-``\lstinline$(void *)0$ is an expression of type \lstinline$(void *)$ whose value is a null pointer,
-and it also is a null pointer constant. However, in C, ``\lstinline$(void *)(void *)0$'' is
-\emph{not} a null pointer constant, even though it is null-valued, a pointer, and constant! The
-semantics of C expressions contain many special cases to deal with subexpressions that are null
-pointer constants.
-
-\CFA handles these cases through overload resolution. The declaration
-\begin{lstlisting}
-forall( dtype DT ) DT *const 0;
-\end{lstlisting}
-means that \lstinline$0$ is a polymorphic object, and contains a value that can have \emph{any}
-pointer-to-object type or pointer-to-incomplete type. The only such value is the null pointer.
-Therefore the type \emph{alone} is enough to identify a null pointer. Where C defines an operator
-with a special case for the null pointer constant, \CFA defines predefined functions with a
-polymorphic object parameter.
-\end{rationale}
-
-
-\subsubsection{Generic selection}
-
-\constraints The best interpretation of the controlling expression shall be
-unambiguous\index{ambiguous interpretation}, and shall have type compatible with at most one of the
-types named in its generic association list. If a generic selection has no \lstinline$default$
-generic association, the best interpretation of its controlling expression shall have type
-compatible with exactly one of the types named in its generic association list.
-
-\semantics
-A generic selection has the same interpretations as its result expression.
-
-
-\subsection{Postfix operators}
-
-\begin{syntax}
-\lhs{postfix-expression}
-\rhs \nonterm{primary-expression}
-\rhs \nonterm{postfix-expression} \lstinline$[$ \nonterm{expression} \lstinline$]$
-\rhs \nonterm{postfix-expression} \lstinline$($ 
-	 \nonterm{argument-expression-list}\opt \lstinline$)$
-\rhs \nonterm{postfix-expression} \lstinline$.$ \nonterm{identifier}
-\rhs \nonterm{postfix-expression} \lstinline$->$ \nonterm{identifier}
-\rhs \nonterm{postfix-expression} \lstinline$++$
-\rhs \nonterm{postfix-expression} \lstinline$--$
-\rhs \lstinline$($ \nonterm{type-name} \lstinline$)$ \lstinline${$ \nonterm{initializer-list} \lstinline$}$
-\rhs \lstinline$($ \nonterm{type-name} \lstinline$)$ \lstinline${$ \nonterm{initializer-list} \lstinline$,$ \lstinline$}$
-\lhs{argument-expression-list}
-\rhs \nonterm{assignment-expression}
-\rhs \nonterm{argument-expression-list} \lstinline$,$
-	 \nonterm{assignment-expression}
-\end{syntax}
-
-\rewriterules
-\begin{lstlisting}
-a[b] @\rewrite@ ?[?]( b, a ) // if a has integer type */@\use{?[?]}@
-a[b] @\rewrite@ ?[?]( a, b ) // otherwise
-a( ${\em arguments }$ ) @\rewrite@ ?()( a, ${\em arguments} )$@\use{?()}@
-a++ @\rewrite@ ?++(&( a ))@\use{?++}@
-a-- @\rewrite@ ?--(&( a ))@\use{?--}@
-\end{lstlisting}
-
-
-\subsubsection{Array subscripting}
-
-\predefined
-\begin{lstlisting}
-forall( type T ) lvalue T ?[?]( T *, ptrdiff_t );@\use{ptrdiff_t}@
-forall( type T ) lvalue _Atomic T ?[?]( _Atomic T *, ptrdiff_t );
-forall( type T ) lvalue const T ?[?]( const T *, ptrdiff_t );
-forall( type T ) lvalue restrict T ?[?]( restrict T *, ptrdiff_t );
-forall( type T ) lvalue volatile T ?[?]( volatile T *, ptrdiff_t );
-forall( type T ) lvalue _Atomic const T ?[?]( _Atomic const T *, ptrdiff_t );
-forall( type T ) lvalue _Atomic restrict T ?[?]( _Atomic restrict T *, ptrdiff_t );
-forall( type T ) lvalue _Atomic volatile T ?[?]( _Atomic volatile T *, ptrdiff_t );
-forall( type T ) lvalue const restrict T ?[?]( const restrict T *, ptrdiff_t );
-forall( type T ) lvalue const volatile T ?[?]( const volatile T *, ptrdiff_t );
-forall( type T ) lvalue restrict volatile T ?[?]( restrict volatile T *, ptrdiff_t );
-forall( type T ) lvalue _Atomic const restrict T ?[?]( _Atomic const restrict T *, ptrdiff_t );
-forall( type T ) lvalue _Atomic const volatile T ?[?]( _Atomic const volatile T *, ptrdiff_t );
-forall( type T ) lvalue _Atomic restrict volatile T ?[?]( _Atomic restrict volatile T *, ptrdiff_t );
-forall( type T ) lvalue const restrict volatile T ?[?]( const restrict volatile T *, ptrdiff_t );
-forall( type T ) lvalue _Atomic const restrict volatile T ?[?]( _Atomic const restrict volatile T *, ptrdiff_t );
-\end{lstlisting}
-\semantics
-The interpretations of subscript expressions are the interpretations of the corresponding function
-call expressions.
-\begin{rationale}
-C defines subscripting as pointer arithmetic in a way that makes \lstinline$a[i]$ and
-\lstinline$i[a]$ equivalent. \CFA provides the equivalence through a rewrite rule to reduce the
-number of overloadings of \lstinline$?[?]$.
-
-Subscript expressions are rewritten as function calls that pass the first parameter by value. This
-is somewhat unfortunate, since array-like types tend to be large. The alternative is to use the
-rewrite rule ``\lstinline$a[b]$ \rewrite \lstinline$?[?](&(a), b)$''. However, C semantics forbid
-this approach: the \lstinline$a$ in ``\lstinline$a[b]$'' can be an arbitrary pointer value, which
-does not have an address.
-
-The repetitive form of the predefined identifiers shows up a deficiency\index{deficiencies!pointers
- to qualified types} of \CFA's type system. Type qualifiers are not included in type values, so
-polymorphic functions that take pointers to arbitrary types often come in one flavor for each
-possible qualification of the pointed-at type.
-\end{rationale}
-
-
-\subsubsection{Function calls}
-
-\semantics
-A \define{function designator} is an interpretation of an expression that has function type. The
-\nonterm{postfix-expression} in a function call may have some interpretations that are function
-designators and some that are not.
-
-For those interpretations of the \nonterm{postfix-expression} that are not function designators, the
-expression is rewritten and becomes a call of a function named ``\lstinline$?()$''. The valid
-interpretations of the rewritten expression are determined in the manner described below.
-
-Each combination of function designators and argument interpretations is considered. For those
-interpretations of the \nonterm{postfix-expression} that are \Index{monomorphic function}
-designators, the combination has a \Index{valid interpretation} if the function designator accepts
-the number of arguments given, and each argument interpretation matches the corresponding explicit
-parameter:
-\begin{itemize}
-\item
-if the argument corresponds to a parameter in the function designator's prototype, the argument
-interpretation must have the same type as the corresponding parameter, or be implicitly convertible
-to the parameter's type
-\item
-if the function designator's type does not include a prototype or if the argument corresponds to
-``\lstinline$...$'' in a prototype, a \Index{default argument promotion} is applied to it.
-\end{itemize}
-The type of the valid interpretation is the return type of the function designator.
-
-For those combinations where the interpretation of the \nonterm{postfix-expression} is a
-\Index{polymorphic function} designator and the function designator accepts the number of arguments
-given, there shall be at least one set of \define{implicit argument}s for the implicit parameters
-such that
-\begin{itemize}
-\item
-If the declaration of the implicit parameter uses \Index{type-class} \lstinline$type$\use{type}, the
-implicit argument must be an object type; if it uses \lstinline$dtype$, the implicit argument must
-be an object type or an incomplete type; and if it uses \lstinline$ftype$, the implicit argument
-must be a function type.
-
-\item
-if an explicit parameter's type uses any implicit parameters, then the corresponding explicit
-argument must have a type that is (or can be safely converted\index{safe conversion} to) the type
-produced by substituting the implicit arguments for the implicit parameters in the explicit
-parameter type.
-
-\item
-the remaining explicit arguments must match the remaining explicit parameters, as described for
-monomorphic function designators.
-
-\item
-for each \Index{assertion parameter} in the function designator's type, there must be an object or
-function with the same identifier that is visible at the call site and whose type is compatible with
-or can be specialized to the type of the assertion declaration.
-\end{itemize}
-There is a valid interpretation for each such set of implicit parameters. The type of each valid
-interpretation is the return type of the function designator with implicit parameter values
-substituted for the implicit arguments.
-
-A valid interpretation is ambiguous\index{ambiguous interpretation} if the function designator or
-any of the argument interpretations is ambiguous.
-
-Every valid interpretation whose return type is not compatible with any other valid interpretation's
-return type is an interpretation of the function call expression.
-
-Every set of valid interpretations that have mutually compatible\index{compatible type} result types
-also produces an interpretation of the function call expression. The type of the interpretation is
-the \Index{composite type} of the types of the valid interpretations, and the value of the
-interpretation is that of the \Index{best valid interpretation}.
-\begin{rationale}
-One desirable property of a polymorphic programming language is \define{generalizability}: the
-ability to replace an abstraction with a more general but equivalent abstraction without requiring
-changes in any of the uses of the original\cite{Cormack90}. For instance, it should be possible to
-replace a function ``\lstinline$int f( int );$'' with ``\lstinline$forall( type T ) T f( T );$''
-without affecting any calls of \lstinline$f$.
-
-\CFA\index{deficiencies!generalizability} does not fully possess this property, because
-\Index{unsafe conversion} are not done when arguments are passed to polymorphic parameters.
-Consider
-\begin{lstlisting}
-float g( float, float );
-int i;
-float f;
-double d;
-f = g( f, f );	// (1) 
-f = g( i, f );	// (2) (safe conversion to float) 
-f = g( d, f );	// (3) (unsafe conversion to float) 
-\end{lstlisting}
-If \lstinline$g$ was replaced by ``\lstinline$forall( type T ) T g( T, T );$'', the first and second
-calls would be unaffected, but the third would change: \lstinline$f$ would be converted to
-\lstinline$double$, and the result would be a \lstinline$double$.
-
-Another example is the function ``\lstinline$void h( int *);$''. This function can be passed a
-\lstinline$void *$ argument, but the generalization ``\lstinline$forall( type T ) void h( T *);$''
-can not. In this case, \lstinline$void$ is not a valid value for \lstinline$T$ because it is not an
-object type. If unsafe conversions were allowed, \lstinline$T$ could be inferred to be \emph{any}
-object type, which is undesirable.
-\end{rationale}
-
-\examples
-A function called ``\lstinline$?()$'' might be part of a numerical differentiation package.
-\begin{lstlisting}
-extern type Derivative;
-extern double ?()( Derivative, double );
-extern Derivative derivative_of( double (*f)( double ) );
-extern double sin( double );
-
-Derivative sin_dx = derivative_of( sin );
-double d;
-d = sin_dx( 12.9 );
-\end{lstlisting}
-Here, the only interpretation of \lstinline$sin_dx$ is as an object of type \lstinline$Derivative$.
-For that interpretation, the function call is treated as ``\lstinline$?()( sin_dx, 12.9 )$''.
-\begin{lstlisting}
-int f( long );		// (1) 
-int f( int, int );	// (2) 
-int f( int *);		// (3) 
-
-int i = f( 5 );		// calls (1) 
-\end{lstlisting}
-Function (1) provides a valid interpretation of ``\lstinline$f( 5 )$'', using an implicit
-\lstinline$int$ to \lstinline$long$ conversion. The other functions do not, since the second
-requires two arguments, and since there is no implicit conversion from \lstinline$int$ to
-\lstinline$int *$ that could be used with the third function.
-
-\begin{lstlisting}
-forall( type T ) T h( T );
-double d = h( 1.5 );
-\end{lstlisting}
-``\lstinline$1.5$'' is a \lstinline$double$ constant, so \lstinline$T$ is inferred to be
-\lstinline$double$, and the result of the function call is a \lstinline$double$.
-
-\begin{lstlisting}
-forall( type T, type U ) void g( T, U );	// (4) 
-forall( type T ) void g( T, T );			// (5) 
-forall( type T ) void g( T, long );			// (6) 
-void g( long, long );						// (7) 
-double d;
-int i;
-int *p;
-
-g( d, d );			// calls (5) 
-g( d, i );			// calls (6) 
-g( i, i );			// calls (7) 
-g( i, p );			// calls (4) 
-\end{lstlisting}
-The first call has valid interpretations for all four versions of \lstinline$g$. (6) and (7) are
-discarded because they involve unsafe \lstinline$double$-to-\lstinline$long$ conversions. (5) is
-chosen because it is less polymorphic than (4).
-
-For the second call, (7) is again discarded. Of the remaining interpretations for (4), (5), and (6)
-(with \lstinline$i$ converted to \lstinline$long$), (6) is chosen because it is the least
-polymorphic.
-
-The third call has valid interpretations for all of the functions; (7) is chosen since it is not
-polymorphic at all.
-
-The fourth call has no interpretation for (5), because its arguments must have compatible type. (4)
-is chosen because it does not involve unsafe conversions.
-\begin{lstlisting}
-forall( type T ) T min( T, T );
-double max( double, double );
-context min_max( T ) {@\impl{min_max}@
-	T min( T, T );
-	T max( T, T );
-}
-forall( type U | min_max( U ) ) void shuffle( U, U );
-shuffle(9, 10);
-\end{lstlisting}
-The only possibility for \lstinline$U$ is \lstinline$double$, because that is the type used in the
-only visible \lstinline$max$ function. 9 and 10 must be converted to \lstinline$double$, and
-\lstinline$min$ must be specialized with \lstinline$T$ bound to \lstinline$double$.
-\begin{lstlisting}
-extern void q( int );		// (8) 
-extern void q( void * );	// (9) 
-extern void r();
-q( 0 );
-r( 0 );
-\end{lstlisting}
-The \lstinline$int 0$ could be passed to (8), or the \lstinline$(void *)$ \Index{specialization} of
-the null pointer\index{null pointer} \lstinline$0$\use{0} could be passed to (9). The former is
-chosen because the \lstinline$int$ \lstinline$0$ is \Index{less polymorphic}. For
-the same reason, \lstinline$int$ \lstinline$0$ is passed to \lstinline$r()$, even though it has
-\emph{no} declared parameter types.
-
-
-\subsubsection{Structure and union members}
-
-\semantics In the member selection expression ``\lstinline$s$.\lstinline$m$'', there shall be at
-least one interpretation of \lstinline$s$ whose type is a structure type or union type containing a
-member named \lstinline$m$. If two or more interpretations of \lstinline$s$ have members named
-\lstinline$m$ with mutually compatible types, then the expression has an \Index{ambiguous
-interpretation} whose type is the composite type of the types of the members. If an interpretation
-of \lstinline$s$ has a member \lstinline$m$ whose type is not compatible with any other
-\lstinline$s$'s \lstinline$m$, then the expression has an interpretation with the member's type. The
-expression has no other interpretations.
-
-The expression ``\lstinline$p->m$'' has the same interpretations as the expression
-``\lstinline$(*p).m$''.
-
-
-\subsubsection{Postfix increment and decrement operators}
-
-\predefined
-\begin{lstlisting}
-_Bool ?++( volatile _Bool * ),
-	?++( _Atomic volatile _Bool * );
-char ?++( volatile char * ),
-	?++( _Atomic volatile char * );
-signed char ?++( volatile signed char * ),
-	?++( _Atomic volatile signed char * );
-unsigned char ?++( volatile signed char * ),
-	?++( _Atomic volatile signed char * );
-short int ?++( volatile short int * ),
-	?++( _Atomic volatile short int * );
-unsigned short int ?++( volatile unsigned short int * ),
-	?++( _Atomic volatile unsigned short int * );
-int ?++( volatile int * ),
-	?++( _Atomic volatile int * );
-unsigned int ?++( volatile unsigned int * ),
-	?++( _Atomic volatile unsigned int * );
-long int ?++( volatile long int * ),
-	?++( _Atomic volatile long int * );
-long unsigned int ?++( volatile long unsigned int * ),
-	?++( _Atomic volatile long unsigned int * );
-long long int ?++( volatile long long int * ),
-	?++( _Atomic volatile long long int * );
-long long unsigned ?++( volatile long long unsigned int * ),
-	?++( _Atomic volatile long long unsigned int * );
-float ?++( volatile float * ),
-	?++( _Atomic volatile float * );
-double ?++( volatile double * ),
-	?++( _Atomic volatile double * );
-long double ?++( volatile long double * ),
-	?++( _Atomic volatile long double * );
-
-forall( type T ) T * ?++( T * restrict volatile * ),
-	* ?++( T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic T * ?++( _Atomic T * restrict volatile * ),
-	* ?++( _Atomic T * _Atomic restrict volatile * );
-
-forall( type T ) const T * ?++( const T * restrict volatile * ),
-	* ?++( const T * _Atomic restrict volatile * );
-
-forall( type T ) volatile T * ?++( volatile T * restrict volatile * ),
-	* ?++( volatile T * _Atomic restrict volatile * );
-
-forall( type T ) restrict T * ?++( restrict T * restrict volatile * ),
-	* ?++( restrict T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const T * ?++( _Atomic const T * restrict volatile * ),
-	* ?++( _Atomic const T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic restrict T * ?++( _Atomic restrict T * restrict volatile * ),
-	* ?++( _Atomic restrict T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic volatile T * ?++( _Atomic volatile T * restrict volatile * ),
-	* ?++( _Atomic volatile T * _Atomic restrict volatile * );
-
-forall( type T ) const restrict T * ?++( const restrict T * restrict volatile * ),
-	* ?++( const restrict T * _Atomic restrict volatile * );
-
-forall( type T ) const volatile T * ?++( const volatile T * restrict volatile * ),
-	* ?++( const volatile T * _Atomic restrict volatile * );
-
-forall( type T ) restrict volatile T * ?++( restrict volatile T * restrict volatile * ),
-	* ?++( restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const restrict T * ?++( _Atomic const restrict T * restrict volatile * ),
-	* ?++( _Atomic const restrict T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const volatile T * ?++( _Atomic const volatile T * restrict volatile * ),
-	* ?++( _Atomic const volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic restrict volatile T * ?++( _Atomic restrict volatile T * restrict volatile * ),
-	* ?++( _Atomic restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) const restrict volatile T * ?++( const restrict volatile T * restrict volatile * ),
-	* ?++( const restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const restrict volatile T * ?++( _Atomic const restrict volatile T * restrict volatile * ),
-	* ?++( _Atomic const restrict volatile T * _Atomic restrict volatile * );
-
-_Bool ?--( volatile _Bool * ),
-	?--( _Atomic volatile _Bool * );
-char ?--( volatile char * ),
-	?--( _Atomic volatile char * );
-signed char ?--( volatile signed char * ),
-	?--( _Atomic volatile signed char * );
-unsigned char ?--( volatile signed char * ),
-	?--( _Atomic volatile signed char * );
-short int ?--( volatile short int * ),
-	?--( _Atomic volatile short int * );
-unsigned short int ?--( volatile unsigned short int * ),
-	?--( _Atomic volatile unsigned short int * );
-int ?--( volatile int * ),
-	?--( _Atomic volatile int * );
-unsigned int ?--( volatile unsigned int * ),
-	?--( _Atomic volatile unsigned int * );
-long int ?--( volatile long int * ),
-	?--( _Atomic volatile long int * );
-long unsigned int ?--( volatile long unsigned int * ),
-	?--( _Atomic volatile long unsigned int * );
-long long int ?--( volatile long long int * ),
-	?--( _Atomic volatile long long int * );
-long long unsigned ?--( volatile long long unsigned int * ),
-	?--( _Atomic volatile long long unsigned int * );
-float ?--( volatile float * ),
-	?--( _Atomic volatile float * );
-double ?--( volatile double * ),
-	?--( _Atomic volatile double * );
-long double ?--( volatile long double * ),
-	?--( _Atomic volatile long double * );
-
-forall( type T ) T * ?--( T * restrict volatile * ),
-	* ?--( T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic T * ?--( _Atomic T * restrict volatile * ),
-	* ?--( _Atomic T * _Atomic restrict volatile * );
-
-forall( type T ) const T * ?--( const T * restrict volatile * ),
-	* ?--( const T * _Atomic restrict volatile * );
-
-forall( type T ) volatile T * ?--( volatile T * restrict volatile * ),
-	* ?--( volatile T * _Atomic restrict volatile * );
-
-forall( type T ) restrict T * ?--( restrict T * restrict volatile * ),
-	* ?--( restrict T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const T * ?--( _Atomic const T * restrict volatile * ),
-	* ?--( _Atomic const T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic restrict T * ?--( _Atomic restrict T * restrict volatile * ),
-	* ?--( _Atomic restrict T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic volatile T * ?--( _Atomic volatile T * restrict volatile * ),
-	* ?--( _Atomic volatile T * _Atomic restrict volatile * );
-
-forall( type T ) const restrict T * ?--( const restrict T * restrict volatile * ),
-	* ?--( const restrict T * _Atomic restrict volatile * );
-
-forall( type T ) const volatile T * ?--( const volatile T * restrict volatile * ),
-	* ?--( const volatile T * _Atomic restrict volatile * );
-
-forall( type T ) restrict volatile T * ?--( restrict volatile T * restrict volatile * ),
-	* ?--( restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const restrict T * ?--( _Atomic const restrict T * restrict volatile * ),
-	* ?--( _Atomic const restrict T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const volatile T * ?--( _Atomic const volatile T * restrict volatile * ),
-	* ?--( _Atomic const volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic restrict volatile T * ?--( _Atomic restrict volatile T * restrict volatile * ),
-	* ?--( _Atomic restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) const restrict volatile T * ?--( const restrict volatile T * restrict volatile * ),
-	* ?--( const restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const restrict volatile T * ?--( _Atomic const restrict volatile T * restrict volatile * ),
-	* ?--( _Atomic const restrict volatile T * _Atomic restrict volatile * );
-\end{lstlisting}
-For every extended integer type \lstinline$X$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-X ?++( volatile X * ), ?++( _Atomic volatile X * ),
-  ?--( volatile X * ), ?--( _Atomic volatile X * );
-\end{lstlisting}
-For every complete enumerated type \lstinline$E$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-E ?++( volatile E * ), ?++( _Atomic volatile E * ),
-  ?--( volatile E * ), ?--( _Atomic volatile E * );
-\end{lstlisting}
-
-\begin{rationale}
-Note that ``\lstinline$++$'' and ``\lstinline$--$'' are rewritten as function calls that are given a
-pointer to that operand. (This is true of all operators that modify an operand.) As Hamish Macdonald
-has pointed out, this forces the modified operand of such expressions to be an lvalue. This
-partially enforces the C semantic rule that such operands must be \emph{modifiable} lvalues.
-\end{rationale}
-
-\begin{rationale}
-In C, a semantic rule requires that pointer operands of increment and decrement be pointers to
-object types. Hence, \lstinline$void *$ objects cannot be incremented. In \CFA, the restriction
-follows from the use of a \lstinline$type$ parameter in the predefined function definitions, as
-opposed to \lstinline$dtype$, since only object types can be inferred arguments corresponding to the
-type parameter \lstinline$T$.
-\end{rationale}
-
-\semantics
-First, each interpretation of the operand of an increment or decrement expression is considered
-separately. For each interpretation that is a bit-field or is declared with the
-\lstinline$register$\index{register@{\lstinline$register$}} \index{Itorage-class specifier}, the
-expression has one valid interpretation, with the type of the operand, and the expression is
-ambiguous if the operand is.
-
-For the remaining interpretations, the expression is rewritten, and the interpretations of the
-expression are the interpretations of the corresponding function call. Finally, all interpretations
-of the expression produced for the different interpretations of the operand are combined to produce
-the interpretations of the expression as a whole; where interpretations have compatible result
-types, the best interpretations are selected in the manner described for function call expressions.
-
-\examples
-\begin{lstlisting}
-volatile short int vs;	vs++; // rewritten as ?++( &(vs) )
-short int s;			s++;
-const short int cs;		cs++;
-_Atomic short int as;	as++;
-\end{lstlisting}
-\begin{sloppypar}
-Since \lstinline$&(vs)$ has type \lstinline$volatile short int *$, the best valid interpretation of
-\lstinline$vs++$ calls the \lstinline$?++$ function with the \lstinline$volatile short *$ parameter.
-\lstinline$s++$ does the same, applying the safe conversion from \lstinline$short int *$ to
-\lstinline$volatile short int *$. Note that there is no conversion that adds an \lstinline$_Atomic$
-qualifier, so the \lstinline$_Atomic volatile short int$ overloading does not provide a valid
-interpretation.
-\end{sloppypar}
-
-There is no safe conversion from \lstinline$const short int *$ to \lstinline$volatile short int *$,
-and no \lstinline$?++$ function that accepts a \lstinline$const *$ parameter, so \lstinline$cs++$
-has no valid interpretations.
-
-The best valid interpretation of \lstinline$as++$ calls the \lstinline$short ?++$ function with the
-\lstinline$_Atomic volatile short int *$ parameter, applying a safe conversion to add the
-\lstinline$volatile$ qualifier.
-
-\begin{lstlisting}
-char * const restrict volatile * restrict volatile pqpc; pqpc++
-char * * restrict volatile ppc; ppc++; 
-\end{lstlisting}
-Since \lstinline$&(pqpc)$ has type \lstinline$char * const restrict volatile * restrict volatile *$,
-the best valid interpretation of \lstinline$pqpc++$ calls the polymorphic \lstinline$?++$ function
-with the \lstinline$const restrict volatile T * restrict volatile *$ parameter, inferring
-\lstinline$T$ to be \lstinline$char *$.
-
-\begin{sloppypar}
-\lstinline$ppc++$ calls the same function, again inferring \lstinline$T$ to be \lstinline$char *$,
-and using the safe conversions from \lstinline$T$ to \lstinline$T const restrict volatile$.
-\end{sloppypar}
-
-\begin{rationale}
-Increment and decrement expressions show up a deficiency of \CFA's type system. There is no such
-thing as a pointer to a register object or bit-field\index{deficiencies!pointers to bit-fields}.
-Therefore, there is no way to define a function that alters them, and hence no way to define
-increment and decrement functions for them. As a result, the semantics of increment and decrement
-expressions must treat them specially. This holds true for all of the operators that may modify
-such objects.
-\end{rationale}
-
-\begin{rationale}
-The polymorphic overloadings for pointer increment and decrement can be understood by considering
-increasingly complex types.
-\begin{enumerate}
-\item
-``\lstinline$char * p; p++;$''. The argument to \lstinline$?++$ has type \lstinline$char * *$, and
-the result has type \lstinline$char *$. The expression would be valid if \lstinline$?++$ were
-declared by
-\begin{lstlisting}
-forall( type T ) T * ?++( T * * );
-\end{lstlisting}
-with \lstinline$T$ inferred to be \lstinline$char$.
-
-\item
-``\lstinline$char *restrict volatile qp; qp++$''. The result again has type \lstinline$char *$, but
-the argument now has type \lstinline$char *restrict volatile *$, so it cannot be passed to the
-hypothetical function declared in point 1. Hence the actual predefined function is
-\begin{lstlisting}
-forall( type T ) T * ?++( T * restrict volatile * );
-\end{lstlisting}
-which also accepts a \lstinline$char * *$ argument, because of the safe conversions that add
-\lstinline$volatile$ and \lstinline$restrict$ qualifiers. (The parameter is not const-qualified, so
-constant pointers cannot be incremented.)
-
-\item
-``\lstinline$char *_Atomic ap; ap++$''. The result again has type \lstinline$char *$, but no safe
-conversion adds an \lstinline$_Atomic$ qualifier, so the function in point 2 is not applicable. A
-separate overloading of \lstinline$?++$ is required.
-
-\item
-``\lstinline$char const volatile * pq; pq++$''. Here the result has type
-\lstinline$char const volatile *$, so a new overloading is needed:
-\begin{lstlisting}
-forall( type T ) T const volatile * ?++( T const volatile *restrict volatile * );
-\end{lstlisting}
-One overloading is needed for each combination of qualifiers in the pointed-at
-type\index{deficiencies!pointers to qualified types}.
- 
-\item
-``\lstinline$float *restrict * prp; prp++$''. The \lstinline$restrict$ qualifier is handled just
-like \lstinline$const$ and \lstinline$volatile$ in the previous case:
-\begin{lstlisting}
-forall( type T ) T restrict * ?++( T restrict *restrict volatile * );
-\end{lstlisting}
-with \lstinline$T$ inferred to be \lstinline$float *$. This looks odd, because {\c11} contains a
-constraint that requires restrict-qualified types to be pointer-to-object types, and \lstinline$T$
-is not syntactically a pointer type. \CFA loosens the constraint.
-\end{enumerate}
-\end{rationale}
-
-
-\subsubsection{Compound literals}
-
-\semantics 
-A compound literal has one interpretation, with the type given by the \nonterm{type-name} of the
-compound literal.
-
-
-\subsection{Unary operators}
-
-\begin{syntax}
-\lhs{unary-expression}
-\rhs \nonterm{postfix-expression}
-\rhs \lstinline$++$ \nonterm{unary-expression}
-\rhs \lstinline$--$ \nonterm{unary-expression}
-\rhs \nonterm{unary-operator} \nonterm{cast-expression}
-\rhs \lstinline$sizeof$ \nonterm{unary-expression}
-\rhs \lstinline$sizeof$ \lstinline$($ \nonterm{type-name} \lstinline$)$
-\lhs{unary-operator} one of \rhs \lstinline$&$ \lstinline$*$ \lstinline$+$ \lstinline$-$ \lstinline$~$ \lstinline$!$
-\end{syntax}
-
-\rewriterules
-\begin{lstlisting}
-*a	@\rewrite@ *?(a) @\use{*?}@
-+a	@\rewrite@ +?(a) @\use{+?}@
--a	@\rewrite@ -?(a) @\use{-?}@
-~a	@\rewrite@ ~?(a) @\use{~?}@
-!a	@\rewrite@ !?(a) @\use{"!?}@
-++a	@\rewrite@ ++?(&(a)) @\use{++?}@
---a	@\rewrite@ --?(&(a)) @\use{--?}@
-\end{lstlisting}
-
-
-\subsubsection{Prefix increment and decrement operators}
-
-\predefined
-\begin{lstlisting}
-_Bool ++?( volatile _Bool * ),
-	++?( _Atomic volatile _Bool * );
-char ++?( volatile char * ),
-	++?( _Atomic volatile char * );
-signed char ++?( volatile signed char * ),
-	++?( _Atomic volatile signed char * );
-unsigned char ++?( volatile signed char * ),
-	++?( _Atomic volatile signed char * );
-short int ++?( volatile short int * ),
-	++?( _Atomic volatile short int * );
-unsigned short int ++?( volatile unsigned short int * ),
-	++?( _Atomic volatile unsigned short int * );
-int ++?( volatile int * ),
-	++?( _Atomic volatile int * );
-unsigned int ++?( volatile unsigned int * ),
-	++?( _Atomic volatile unsigned int * );
-long int ++?( volatile long int * ),
-	++?( _Atomic volatile long int * );
-long unsigned int ++?( volatile long unsigned int * ),
-	++?( _Atomic volatile long unsigned int * );
-long long int ++?( volatile long long int * ),
-	++?( _Atomic volatile long long int * );
-long long unsigned ++?( volatile long long unsigned int * ),
-	++?( _Atomic volatile long long unsigned int * );
-float ++?( volatile float * ),
-	++?( _Atomic volatile float * );
-double ++?( volatile double * ),
-	++?( _Atomic volatile double * );
-long double ++?( volatile long double * ),
-	++?( _Atomic volatile long double * );
-
-forall( type T ) T * ++?( T * restrict volatile * ),
-	* ++?( T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic T * ++?( _Atomic T * restrict volatile * ),
-	* ++?( _Atomic T * _Atomic restrict volatile * );
-
-forall( type T ) const T * ++?( const T * restrict volatile * ),
-	* ++?( const T * _Atomic restrict volatile * );
-
-forall( type T ) volatile T * ++?( volatile T * restrict volatile * ),
-	* ++?( volatile T * _Atomic restrict volatile * );
-
-forall( type T ) restrict T * ++?( restrict T * restrict volatile * ),
-	* ++?( restrict T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const T * ++?( _Atomic const T * restrict volatile * ),
-	* ++?( _Atomic const T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic volatile T * ++?( _Atomic volatile T * restrict volatile * ),
-	* ++?( _Atomic volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic restrict T * ++?( _Atomic restrict T * restrict volatile * ),
-	* ++?( _Atomic restrict T * _Atomic restrict volatile * );
-
-forall( type T ) const volatile T * ++?( const volatile T * restrict volatile * ),
-	* ++?( const volatile T * _Atomic restrict volatile * );
-
-forall( type T ) const restrict T * ++?( const restrict T * restrict volatile * ),
-	* ++?( const restrict T * _Atomic restrict volatile * );
-
-forall( type T ) restrict volatile T * ++?( restrict volatile T * restrict volatile * ),
-	* ++?( restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const volatile T * ++?( _Atomic const volatile T * restrict volatile * ),
-	* ++?( _Atomic const volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const restrict T * ++?( _Atomic const restrict T * restrict volatile * ),
-	* ++?( _Atomic const restrict T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic restrict volatile T * ++?( _Atomic restrict volatile T * restrict volatile * ),
-	* ++?( _Atomic restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) const restrict volatile T * ++?( const restrict volatile T * restrict volatile * ),
-	* ++?( const restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const restrict volatile T * ++?( _Atomic const restrict volatile T * restrict volatile * ),
-	* ++?( _Atomic const restrict volatile T * _Atomic restrict volatile * );
-
-_Bool --?( volatile _Bool * ),
-	--?( _Atomic volatile _Bool * );
-char --?( volatile char * ),
-	--?( _Atomic volatile char * );
-signed char --?( volatile signed char * ),
-	--?( _Atomic volatile signed char * );
-unsigned char --?( volatile signed char * ),
-	--?( _Atomic volatile signed char * );
-short int --?( volatile short int * ),
-	--?( _Atomic volatile short int * );
-unsigned short int --?( volatile unsigned short int * ),
-	--?( _Atomic volatile unsigned short int * );
-int --?( volatile int * ),
-	--?( _Atomic volatile int * );
-unsigned int --?( volatile unsigned int * ),
-	--?( _Atomic volatile unsigned int * );
-long int --?( volatile long int * ),
-	--?( _Atomic volatile long int * );
-long unsigned int --?( volatile long unsigned int * ),
-	--?( _Atomic volatile long unsigned int * );
-long long int --?( volatile long long int * ),
-	--?( _Atomic volatile long long int * );
-long long unsigned --?( volatile long long unsigned int * ),
-	--?( _Atomic volatile long long unsigned int * );
-float --?( volatile float * ),
-	--?( _Atomic volatile float * );
-double --?( volatile double * ),
-	--?( _Atomic volatile double * );
-long double --?( volatile long double * ),
-	--?( _Atomic volatile long double * );
-
-forall( type T ) T * --?( T * restrict volatile * ),
-	* --?( T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic T * --?( _Atomic T * restrict volatile * ),
-	* --?( _Atomic T * _Atomic restrict volatile * );
-
-forall( type T ) const T * --?( const T * restrict volatile * ),
-	* --?( const T * _Atomic restrict volatile * );
-
-forall( type T ) volatile T * --?( volatile T * restrict volatile * ),
-	* --?( volatile T * _Atomic restrict volatile * );
-
-forall( type T ) restrict T * --?( restrict T * restrict volatile * ),
-	* --?( restrict T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const T * --?( _Atomic const T * restrict volatile * ),
-	* --?( _Atomic const T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic volatile T * --?( _Atomic volatile T * restrict volatile * ),
-	* --?( _Atomic volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic restrict T * --?( _Atomic restrict T * restrict volatile * ),
-	* --?( _Atomic restrict T * _Atomic restrict volatile * );
-
-forall( type T ) const volatile T * --?( const volatile T * restrict volatile * ),
-	* --?( const volatile T * _Atomic restrict volatile * );
-
-forall( type T ) const restrict T * --?( const restrict T * restrict volatile * ),
-	* --?( const restrict T * _Atomic restrict volatile * );
-
-forall( type T ) restrict volatile T * --?( restrict volatile T * restrict volatile * ),
-	* --?( restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const volatile T * --?( _Atomic const volatile T * restrict volatile * ),
-	* --?( _Atomic const volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const restrict T * --?( _Atomic const restrict T * restrict volatile * ),
-	* --?( _Atomic const restrict T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic restrict volatile T * --?( _Atomic restrict volatile T * restrict volatile * ),
-	* --?( _Atomic restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) const restrict volatile T * --?( const restrict volatile T * restrict volatile * ),
-	* --?( const restrict volatile T * _Atomic restrict volatile * );
-
-forall( type T ) _Atomic const restrict volatile T * --?( _Atomic const restrict volatile T * restrict volatile * ),
-	* --?( _Atomic const restrict volatile T * _Atomic restrict volatile * );
-\end{lstlisting}
-For every extended integer type \lstinline$X$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-X	++?( volatile X * ),
-	++?( _Atomic volatile X * ),
-	--?( volatile X * ),
-	--?( _Atomic volatile X * );
-\end{lstlisting}
-For every complete enumerated type \lstinline$E$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-E ++?( volatile E * ),
-	++?( _Atomic volatile E * ),
-	?--( volatile E * ),
-	?--( _Atomic volatile E * );
-\end{lstlisting}
-
-\semantics
-The interpretations of prefix increment and decrement expressions are
-determined in the same way as the interpretations of postfix increment and
-decrement expressions.
-
-
-\subsubsection{Address and indirection operators}
-
-\predefined
-\begin{lstlisting}
-forall( type T ) lvalue T *?( T * );
-forall( type T ) _Atomic lvalue T *?( _Atomic T * );
-forall( type T ) const lvalue T *?( const T * );
-forall( type T ) volatile lvalue T *?( volatile T * );
-forall( type T ) restrict lvalue T *?( restrict T * );
-forall( type T ) _Atomic const lvalue T *?( _Atomic const T * );
-forall( type T ) _Atomic volatile lvalue T *?( _Atomic volatile T * );
-forall( type T ) _Atomic restrict lvalue T *?( _Atomic restrict T * );
-forall( type T ) const volatile lvalue T *?( const volatile T * );
-forall( type T ) const restrict lvalue T *?( const restrict T * );
-forall( type T ) restrict volatile lvalue T *?( restrict volatile T * );
-forall( type T ) _Atomic const volatile lvalue T *?( _Atomic const volatile T * );
-forall( type T ) _Atomic const restrict lvalue T *?( _Atomic const restrict T * );
-forall( type T ) _Atomic restrict volatile lvalue T *?( _Atomic restrict volatile T * );
-forall( type T ) const restrict volatile lvalue T *?( const restrict volatile T * );
-forall( type T ) _Atomic const restrict volatile lvalue T *?( _Atomic const restrict volatile T * );
-
-forall( ftype FT ) FT *?( FT * );
-\end{lstlisting}
-
-\constraints
-The operand of the unary ``\lstinline$&$'' operator shall have exactly one
-\Index{interpretation}\index{ambiguous interpretation}, which shall be unambiguous.
-
-\semantics
-The ``\lstinline$&$'' expression has one interpretation which is of type \lstinline$T *$, where
-\lstinline$T$ is the type of the operand.
-
-The interpretations of an indirection expression are the interpretations of the corresponding
-function call.
-
-
-\subsubsection{Unary arithmetic operators}
-
-\predefined
-\begin{lstlisting}
-int
-	+?( int ),
-	-?( int ),
-	~?( int );
-unsigned int
-	+?( unsigned int ),
-	-?( unsigned int ),
-	 ~?( unsigned int );
-long int
-	+?( long int ),
-	-?( long int ),
-	~?( long int );
-long unsigned int
-	+?( long unsigned int ),
-	-?( long unsigned int ),
-	~?( long unsigned int );
-long long int
-	+?( long long int ),
-	-?( long long int ),
-	~?( long long int );
-long long unsigned int
-	+?( long long unsigned int ),
-	-?( long long unsigned int ),
-	~?( long long unsigned int );
-float
-	+?( float ),
-	-?( float );
-double
-	+?( double ),
-	-?( double );
-long double
-	+?( long double ),
-	-?( long double );
-_Complex float
-	+?( _Complex float ),
-	-?( _Complex float );
-_Complex double
-	+?( _Complex double ),
-	-?( _Complex double );
-_Complex long double
-	+?( _Complex long double ),
-	-?( _Complex long double );
-
-int !?( int ),
-	!?( unsigned int ),
-	!?( long ),
-	!?( long unsigned int ),
-	!?( long long int ),
-	!?( long long unsigned int ),
-	!?( float ),
-	!?( double ),
-	!?( long double ),
-	!?( _Complex float ),
-	!?( _Complex double ),
-	!?( _Complex long double );
-
-forall( dtype DT ) int !?( const restrict volatile DT * );
-forall( dtype DT ) int !?( _Atomic const restrict volatile DT * );
-forall( ftype FT ) int !?( FT * );
-\end{lstlisting}
-For every extended integer type \lstinline$X$ with \Index{integer conversion rank} greater than the
-rank of \lstinline$int$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-X +?( X ), -?( X ), ~?( X );
-int !?( X );
-\end{lstlisting}
-
-\semantics
-The interpretations of a unary arithmetic expression are the interpretations of the corresponding
-function call.
-
-\examples
-\begin{lstlisting}
-long int li;
-void eat_double( double );@\use{eat_double}@
-
-eat_double(-li ); // @\rewrite@ eat_double( -?( li ) ); 
-\end{lstlisting}
-The valid interpretations of ``\lstinline$-li$'' (assuming no extended integer types exist) are
-\begin{center}
-\begin{tabular}{llc}
-interpretation & result type & expression conversion cost \\
-\hline
-\lstinline$-?( (int)li )$					& \lstinline$int$					& (unsafe) \\
-\lstinline$-?( (unsigned)li)$				& \lstinline$unsigned int$			& (unsafe) \\
-\lstinline$-?( (long)li)$					& \lstinline$long$					& 0 \\
-\lstinline$-?( (long unsigned int)li)$		& \lstinline$long unsigned int$		& 1 \\
-\lstinline$-?( (long long int)li)$			& \lstinline$long long int$			& 2 \\
-\lstinline$-?( (long long unsigned int)li)$	& \lstinline$long long unsigned int$& 3 \\
-\lstinline$-?( (float)li)$					& \lstinline$float$					& 4 \\
-\lstinline$-?( (double)li)$					& \lstinline$double$				& 5 \\
-\lstinline$-?( (long double)li)$			& \lstinline$long double$			& 6 \\
-\lstinline$-?( (_Complex float)li)$			& \lstinline$float$					& (unsafe) \\
-\lstinline$-?( (_Complex double)li)$		& \lstinline$double$				& (unsafe) \\
-\lstinline$-?( (_Complex long double)li)$	& \lstinline$long double$			& (unsafe) \\
-\end{tabular}
-\end{center}
-The valid interpretations of the \lstinline$eat_double$ call, with the cost of the argument
-conversion and the cost of the entire expression, are
-\begin{center}
-\begin{tabular}{lcc}
-interpretation & argument cost & expression cost \\
-\hline
-\lstinline$eat_double( (double)-?( (int)li) )$					& 7			& (unsafe) \\
-\lstinline$eat_double( (double)-?( (unsigned)li) )$				& 6			& (unsafe) \\
-\lstinline$eat_double( (double)-?(li) )$						& 5			& \(0+5=5\) \\
-\lstinline$eat_double( (double)-?( (long unsigned int)li) )$	& 4			& \(1+4=5\) \\
-\lstinline$eat_double( (double)-?( (long long int)li) )$ 		& 3			& \(2+3=5\) \\
-\lstinline$eat_double( (double)-?( (long long unsigned int)li) )$& 2		& \(3+2=5\) \\
-\lstinline$eat_double( (double)-?( (float)li) )$				& 1			& \(4+1=5\) \\
-\lstinline$eat_double( (double)-?( (double)li) )$				& 0			& \(5+0=5\) \\
-\lstinline$eat_double( (double)-?( (long double)li) )$			& (unsafe)	& (unsafe) \\
-\lstinline$eat_double( (double)-?( (_Complex float)li) )$		& (unsafe)	& (unsafe) \\
-\lstinline$eat_double( (double)-?( (_Complex double)li) )$		& (unsafe)	& (unsafe) \\
-\lstinline$eat_double( (double)-?( (_Complex long double)li) )$	& (unsafe)	& (unsafe) \\
-\end{tabular}
-\end{center}
-Each has result type \lstinline$void$, so the best must be selected. The interpretations involving
-unsafe conversions are discarded. The remainder have equal expression conversion costs, so the
-``highest argument conversion cost'' rule is invoked, and the chosen interpretation is
-\lstinline$eat_double( (double)-?(li) )$.
-
-
-\subsubsection{The \lstinline$sizeof$ and \lstinline$_Alignof$ operators}
-
-\constraints
-The operand of \lstinline$sizeof$ or \lstinline$_Alignof$ shall not be \lstinline$type$,
-\lstinline$dtype$, or \lstinline$ftype$.
-
-When the \lstinline$sizeof$\use{sizeof} operator is applied to an expression, the expression shall
-have exactly one \Index{interpretation}\index{ambiguous interpretation}, which shall
-be unambiguous. \semantics A \lstinline$sizeof$ or \lstinline$_Alignof$ expression has one
-interpretation, of type \lstinline$size_t$.
-
-When \lstinline$sizeof$ is applied to an identifier declared by a \nonterm{type-declaration} or a
-\nonterm{type-parameter}, it yields the size in bytes of the type that implements the operand. When
-the operand is an opaque type or an inferred type parameter\index{inferred parameter}, the
-expression is not a constant expression.
-
-When \lstinline$_Alignof$ is applied to an identifier declared by a \nonterm{type-declaration} or a
-\nonterm{type-parameter}, it yields the alignment requirement of the type that implements the
-operand. When the operand is an opaque type or an inferred type parameter\index{inferred
-parameter}, the expression is not a constant expression.
-\begin{rationale}
-\begin{lstlisting}
-type Pair = struct { int first, second; };
-size_t p_size = sizeof(Pair);		// constant expression 
-
-extern type Rational;@\use{Rational}@
-size_t c_size = sizeof(Rational);	// non-constant expression 
-
-forall(type T) T f(T p1, T p2) {
-	size_t t_size = sizeof(T);		// non-constant expression 
-	...
-}
-\end{lstlisting}
-``\lstinline$sizeof Rational$'', although not statically known, is fixed. Within \lstinline$f()$,
-``\lstinline$sizeof(T)$'' is fixed for each call of \lstinline$f()$, but may vary from call to call.
-\end{rationale}
-
-
-\subsection{Cast operators}
-
-\begin{syntax}
-\lhs{cast-expression}
-\rhs \nonterm{unary-expression}
-\rhs \lstinline$($ \nonterm{type-name} \lstinline$)$ \nonterm{cast-expression}
-\end{syntax}
-
-\constraints
-The \nonterm{type-name} in a \nonterm{cast-expression} shall not be \lstinline$type$,
-\lstinline$dtype$, or \lstinline$ftype$.
-
-\semantics
-
-In a \Index{cast expression} ``\lstinline$($\nonterm{type-name}\lstinline$)e$'', if
-\nonterm{type-name} is the type of an interpretation of \lstinline$e$, then that interpretation is
-the only interpretation of the cast expression; otherwise, \lstinline$e$ shall have some
-interpretation that can be converted to \nonterm{type-name}, and the interpretation of the cast
-expression is the cast of the interpretation that can be converted at the lowest cost. The cast
-expression's interpretation is ambiguous\index{ambiguous interpretation} if more than one
-interpretation can be converted at the lowest cost or if the selected interpretation is ambiguous.
-
-\begin{rationale}
-Casts can be used to eliminate ambiguity in expressions by selecting interpretations of
-subexpressions, and to specialize polymorphic functions and values.
-\end{rationale}
-
-
-\subsection{Multiplicative operators}
-
-\begin{syntax}
-\lhs{multiplicative-expression}
-\rhs \nonterm{cast-expression}
-\rhs \nonterm{multiplicative-expression} \lstinline$*$ \nonterm{cast-expression}
-\rhs \nonterm{multiplicative-expression} \lstinline$/$ \nonterm{cast-expression}
-\rhs \nonterm{multiplicative-expression} \lstinline$%$ \nonterm{cast-expression}
-\end{syntax}
-
-\rewriterules
-\begin{lstlisting}
-a * b @\rewrite@ ?*?( a, b )@\use{?*?}@
-a / b @\rewrite@ ?/?( a, b )@\use{?/?}@
-a % b @\rewrite@ ?%?( a, b )@\use{?%?}@
-\end{lstlisting}
-
-\predefined
-\begin{lstlisting}
-int?*?( int, int ),
-	?/?( int, int ),
-	?%?( int, int );
-unsigned int?*?( unsigned int, unsigned int ),
-	?/?( unsigned int, unsigned int ),
-	?%?( unsigned int, unsigned int );
-long int?*?( long int, long int ),
-	?/?( long, long ),
-	?%?( long, long );
-long unsigned int?*?( long unsigned int, long unsigned int ),
-	?/?( long unsigned int, long unsigned int ),
-	?%?( long unsigned int, long unsigned int );
-long long int?*?( long long int, long long int ),
-	?/?( long long int, long long int ),
-	?%?( long long int, long long int );
-long long unsigned int ?*?( long long unsigned int, long long unsigned int ),
-	?/?( long long unsigned int, long long unsigned int ),
-	?%?( long long unsigned int, long long unsigned int );
-float?*?( float, float ),
-	?/?( float, float );
-double?*?( double, double ),
-	?/?( double, double );
-long double?*?( long double, long double ),
-	?/?( long double, long double );
-_Complex float?*?( float, _Complex float ),
-	?/?( float, _Complex float ),
-	?*?( _Complex float, float ),
-	?/?( _Complex float, float ),
-	?*?( _Complex float, _Complex float ),
-	?/?( _Complex float, _Complex float );
-_Complex double?*?( double, _Complex double ),
-	?/?( double, _Complex double ),
-	?*?( _Complex double, double ),
-	?/?( _Complex double, double ),
-	?*?( _Complex double, _Complex double ),
-	?/?( _Complex double, _Complex double );
-_Complex long double?*?( long double, _Complex long double ),
-	?/?( long double, _Complex long double ),
-	?*?( _Complex long double, long double ),
-	?/?( _Complex long double, long double ),
-	?*?( _Complex long double, _Complex long double ),
-	?/?( _Complex long double, _Complex long double );
-\end{lstlisting}
-For every extended integer type \lstinline$X$ with \Index{integer conversion rank} greater than the
-rank of \lstinline$int$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-X ?*?( X ), ?/?( X ), ?%?( X );
-\end{lstlisting}
-
-\begin{rationale}
-{\c11} does not include conversions from the \Index{real type}s to \Index{complex type}s in the
-\Index{usual arithmetic conversion}s.  Instead it specifies conversion of the result of binary
-operations on arguments from mixed type domains. \CFA's predefined operators match that pattern.
-\end{rationale}
-
-\semantics
-The interpretations of multiplicative expressions are the interpretations of the corresponding
-function call.
-
-\examples
-\begin{lstlisting}
-int i;
-long li;
-void eat_double( double );@\use{eat_double}@
-eat_double( li % i );
-\end{lstlisting}
-``\lstinline$li % i$'' is rewritten as ``\lstinline$?%?(li, i )$''. The valid interpretations
-of \lstinline$?%?(li, i )$, the cost\index{conversion cost} of converting their arguments, and
-the cost of converting the result to \lstinline$double$ (assuming no extended integer types are
-present ) are
-\begin{center}
-\begin{tabular}{lcc}
-interpretation & argument cost & result cost \\
-\hline 
-\lstinline$ ?%?( (int)li, i )$										& (unsafe)	& 6	\\
-\lstinline$ ?%?( (unsigned)li,(unsigned)i )$						& (unsafe)	& 5	\\
-\lstinline$ ?%?(li,(long)i )$										& 1			& 4	\\
-\lstinline$ ?%?( (long unsigned)li,(long unsigned)i )$				& 3			& 3	\\
-\lstinline$ ?%?( (long long)li,(long long)i )$						& 5			& 2	\\
-\lstinline$ ?%?( (long long unsigned)li, (long long unsigned)i )$	& 7			& 1	\\
-\end{tabular}
-\end{center}
-The best interpretation of \lstinline$eat_double( li, i )$ is
-\lstinline$eat_double( (double)?%?(li, (long)i ))$, which has no unsafe conversions and the
-lowest total cost.
-
-\begin{rationale}
-{\c11} defines most arithmetic operations to apply an \Index{integer promotion} to any argument that
-belongs to a type that has an \Index{integer conversion rank} less than that of \lstinline$int$.If
-\lstinline$s$ is a \lstinline$short int$, ``\lstinline$s *s$'' does not have type \lstinline$short int$;
-it is treated as ``\lstinline$( (int)s ) * ( (int)s )$'', and has type \lstinline$int$. \CFA matches
-that pattern; it does not predefine ``\lstinline$short ?*?( short, short )$''.
-
-These ``missing'' operators limit polymorphism. Consider
-\begin{lstlisting}
-forall( type T | T ?*?( T, T ) ) T square( T );
-short s;
-square( s );
-\end{lstlisting}
-Since \CFA does not define a multiplication operator for \lstinline$short int$,
-\lstinline$square( s )$ is treated as \lstinline$square( (int)s )$, and the result has type
-\lstinline$int$. This is mildly surprising, but it follows the {\c11} operator pattern.
-
-A more troubling example is
-\begin{lstlisting}
-forall( type T | ?*?( T, T ) ) T product( T[], int n );
-short sa[5];
-product( sa, 5);
-\end{lstlisting}
-This has no valid interpretations, because \CFA has no conversion from ``array of
-\lstinline$short int$'' to ``array of \lstinline$int$''. The alternatives in such situations
-include
-\begin{itemize}
-\item
-Defining monomorphic overloadings of \lstinline$product$ for \lstinline$short$ and the other
-``small'' types.
-\item
-Defining ``\lstinline$short ?*?( short, short )$'' within the scope containing the call to
-\lstinline$product$.
-\item
-Defining \lstinline$product$ to take as an argument a conversion function from the ``small'' type to
-the operator's argument type.
-\end{itemize}
-\end{rationale}
-
-
-\subsection{Additive operators}
-
-\begin{syntax}
-\lhs{additive-expression}
-\rhs \nonterm{multiplicative-expression}
-\rhs \nonterm{additive-expression} \lstinline$+$ \nonterm{multiplicative-expression}
-\rhs \nonterm{additive-expression} \lstinline$-$ \nonterm{multiplicative-expression}
-\end{syntax}
-
-\rewriterules
-\begin{lstlisting}
-a + b @\rewrite@ ?+?( a, b )@\use{?+?}@
-a - b @\rewrite@ ?-?( a, b )@\use{?-?}@
-\end{lstlisting}
-
-\predefined
-\begin{lstlisting}
-int?+?( int, int ),
-	?-?( int, int );
-unsigned int?+?( unsigned int, unsigned int ),
-	?-?( unsigned int, unsigned int );
-long int?+?( long int, long int ),
-	?-?( long int, long int );
-long unsigned int?+?( long unsigned int, long unsigned int ),
-	?-?( long unsigned int, long unsigned int );
-long long int?+?( long long int, long long int ),
-	?-?( long long int, long long int );
-long long unsigned int ?+?( long long unsigned int, long long unsigned int ),
-	?-?( long long unsigned int, long long unsigned int );
-float?+?( float, float ),
-	?-?( float, float );
-double?+?( double, double ),
-	?-?( double, double );
-long double?+?( long double, long double ),
-	?-?( long double, long double );
-_Complex float?+?( _Complex float, float ),
-	?-?( _Complex float, float ),
-	?+?( float, _Complex float ),
-	?-?( float, _Complex float ),
-	?+?( _Complex float, _Complex float ),
-	?-?( _Complex float, _Complex float );
-_Complex double?+?( _Complex double, double ),
-	?-?( _Complex double, double ),
-	?+?( double, _Complex double ),
-	?-?( double, _Complex double ),
-	?+?( _Complex double, _Complex double ),
-	?-?( _Complex double, _Complex double );
-_Complex long double?+?( _Complex long double, long double ),
-	?-?( _Complex long double, long double ),
-	?+?( long double, _Complex long double ),
-	?-?( long double, _Complex long double ),
-	?+?( _Complex long double, _Complex long double ),
-	?-?( _Complex long double, _Complex long double );
-
-forall( type T ) T
-	* ?+?( T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, T * ),
-	* ?-?( T *, ptrdiff_t );
-
-forall( type T ) _Atomic T
-	* ?+?( _Atomic T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, _Atomic T * ),
-	* ?-?( _Atomic T *, ptrdiff_t );
-
-forall( type T ) const T
-	* ?+?( const T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, const T * ),
-	* ?-?( const T *, ptrdiff_t );
-
-forall( type T ) restrict T
-	* ?+?( restrict T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, restrict T * ),
-	* ?-?( restrict T *, ptrdiff_t );
-
-forall( type T ) volatile T
-	* ?+?( volatile T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, volatile T * ),
-	* ?-?( volatile T *, ptrdiff_t );
-
-forall( type T ) _Atomic const T
-	* ?+?( _Atomic const T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, _Atomic const T * ),
-	* ?-?( _Atomic const T *, ptrdiff_t );
-
-forall( type T ) _Atomic restrict T
-	* ?+?( _Atomic restrict T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, _Atomic restrict T * ),
-	* ?-?( _Atomic restrict T *, ptrdiff_t );
-
-forall( type T ) _Atomic volatile T
-	* ?+?( _Atomic volatile T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, _Atomic volatile T * ),
-	* ?-?( _Atomic volatile T *, ptrdiff_t );
-
-forall( type T ) const restrict T
-	* ?+?( const restrict T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, const restrict T * ),
-	* ?-?( const restrict T *, ptrdiff_t );
-
-forall( type T ) const volatile T
-	* ?+?( const volatile T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, const volatile T * ),
-	* ?-?( const volatile T *, ptrdiff_t );
-
-forall( type T ) restrict volatile T
-	* ?+?( restrict volatile T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, restrict volatile T * ),
-	* ?-?( restrict volatile T *, ptrdiff_t );
-
-forall( type T ) _Atomic const restrict T
-	* ?+?( _Atomic const restrict T *, ptrdiff_t ),
-	* ?+?( ptrdiff_t, _Atomic const restrict T * ),
-	* ?-?( _Atomic const restrict T *, ptrdiff_t );
-
-forall( type T ) ptrdiff_t
-	* ?-?( const restrict volatile T *, const restrict volatile T * ),
-	* ?-?( _Atomic const restrict volatile T *, _Atomic const restrict volatile T * );
-\end{lstlisting}
-For every extended integer type \lstinline$X$ with \Index{integer conversion rank} greater than the
-rank of \lstinline$int$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-X ?+?( X ), ?-?( X );
-\end{lstlisting}
-
-\semantics
-The interpretations of additive expressions are the interpretations of the corresponding function
-calls.
-
-\begin{rationale}
-\lstinline$ptrdiff_t$ is an implementation-defined identifier defined in \lstinline$<stddef.h>$ that
-is synonymous with a signed integral type that is large enough to hold the difference between two
-pointers. It seems reasonable to use it for pointer addition as well. (This is technically a
-difference between \CFA and C, which only specifies that pointer addition uses an \emph{integral}
-argument.) Hence it is also used for subscripting, which is defined in terms of pointer addition.
-The {\c11} standard uses \lstinline$size_t$ in several cases where a library function takes an
-argument that is used as a subscript, but \lstinline$size_t$ is unsuitable here because it is an
-unsigned type.
-\end{rationale}
-
-
-\subsection{Bitwise shift operators}
-
-\begin{syntax}
-\lhs{shift-expression}
-\rhs \nonterm{additive-expression}
-\rhs \nonterm{shift-expression} \lstinline$<<$ \nonterm{additive-expression}
-\rhs \nonterm{shift-expression} \lstinline$>>$ \nonterm{additive-expression}
-\end{syntax}
-
-\rewriterules \use{?>>?}%use{?<<?}
-\begin{lstlisting}
-a << b @\rewrite@ ?<<?( a, b )
-a >> b @\rewrite@ ?>>?( a, b )
-\end{lstlisting}
-
-\predefined
-\begin{lstlisting}
-int ?<<?( int, int ),
-	 ?>>?( int, int );
-unsigned int ?<<?( unsigned int, int ),
-	 ?>>?( unsigned int, int );
-long int ?<<?( long int, int ),
-	 ?>>?( long int, int );
-long unsigned int ?<<?( long unsigned int, int ),
-	 ?>>?( long unsigned int, int );
-long long int ?<<?( long long int, int ),
-	 ?>>?( long long int, int );
-long long unsigned int ?<<?( long long unsigned int, int ),
-	 ?>>?( long long unsigned int, int);
-\end{lstlisting}
-For every extended integer type \lstinline$X$ with \Index{integer conversion rank} greater than the
-rank of \lstinline$int$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-X ?<<?( X, int ), ?>>?( X, int );
-\end{lstlisting}
-
-\begin{rationale}
-The bitwise shift operators break the usual pattern: they do not convert both operands to a common
-type. The right operand only undergoes \Index{integer promotion}.
-\end{rationale}
-
-\semantics
-The interpretations of a bitwise shift expression are the interpretations of the corresponding
-function calls.
-
-
-\subsection{Relational operators}
-
-\begin{syntax}
-\lhs{relational-expression}
-\rhs \nonterm{shift-expression}
-\rhs \nonterm{relational-expression} \lstinline$< $ \nonterm{shift-expression}
-\rhs \nonterm{relational-expression} \lstinline$> $ \nonterm{shift-expression}
-\rhs \nonterm{relational-expression} \lstinline$<=$ \nonterm{shift-expression}
-\rhs \nonterm{relational-expression} \lstinline$>=$ \nonterm{shift-expression}
-\end{syntax}
-
-\rewriterules\use{?>?}\use{?>=?}%use{?<?}%use{?<=?}
-\begin{lstlisting}
-a < b @\rewrite@ ?<?( a, b )
-a > b @\rewrite@ ?>?( a, b )
-a <= b @\rewrite@ ?<=?( a, b )
-a >= b @\rewrite@ ?>=?( a, b )
-\end{lstlisting}
-
-\predefined
-\begin{lstlisting}
-int ?<?( int, int ),
-	?<=?( int, int ),
-	?>?( int, int ),
-	?>=?( int, int );
-int ?<?( unsigned int, unsigned int ),
-	?<=?( unsigned int, unsigned int ),
-	?>?( unsigned int, unsigned int ),
-	?>=?( unsigned int, unsigned int );
-int ?<?( long int, long int ),
-	?<=?( long int, long int ),
-	?>?( long int, long int ),
-	?>=?( long int, long int );
-int ?<?( long unsigned int, long unsigned ),
-	?<=?( long unsigned int, long unsigned ),
-	?>?( long unsigned int, long unsigned ),
-	?>=?( long unsigned int, long unsigned );
-int ?<?( long long int, long long int ),
-	?<=?( long long int, long long int ),
-	?>?( long long int, long long int ),
-	?>=?( long long int, long long int );
-int ?<?( long long unsigned int, long long unsigned ),
-	?<=?( long long unsigned int, long long unsigned ),
-	?>?( long long unsigned int, long long unsigned ),
-	?>=?( long long unsigned int, long long unsigned );
-int ?<?( float, float ),
-	?<=?( float, float ),
-	?>?( float, float ),
-	?>=?( float, float );
-int ?<?( double, double ),
-	?<=?( double, double ),
-	?>?( double, double ),
-	?>=?( double, double );
-int ?<?( long double, long double ),
-	?<=?( long double, long double ),
-	?>?( long double, long double ),
-	?>=?( long double, long double );
-
-forall( dtype DT ) int
-	?<?( const restrict volatile DT *, const restrict volatile DT * ),
-	?<?( _Atomic const restrict volatile DT *, _Atomic const restrict volatile DT * ),
-	?<=?( const restrict volatile DT *, const restrict volatile DT * ),
-	?<=?( _Atomic const restrict volatile DT *, _Atomic const restrict volatile DT * ),
-	?>?( const restrict volatile DT *, const restrict volatile DT * ),
-	?>?( _Atomic const restrict volatile DT *, _Atomic const restrict volatile DT * ),
-	?>=?( const restrict volatile DT *, const restrict volatile DT * ),
-	?>=?( _Atomic const restrict volatile DT *, _Atomic const restrict volatile DT * );
-\end{lstlisting}
-For every extended integer type \lstinline$X$ with \Index{integer conversion rank} greater than the
-rank of \lstinline$int$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-int ?<?( X, X ),
-	?<=?( X, X ),
-	?<?( X, X ),
-	?>=?( X, X );
-\end{lstlisting}
-
-\semantics
-The interpretations of a relational expression are the interpretations of the corresponding function
-call.
-
-
-\subsection{Equality operators}
-
-\begin{syntax}
-\lhs{equality-expression}
-\rhs \nonterm{relational-expression}
-\rhs \nonterm{equality-expression} \lstinline$==$ \nonterm{relational-expression}
-\rhs \nonterm{equality-expression} \lstinline$!=$ \nonterm{relational-expression}
-\end{syntax}
-
-\rewriterules
-\begin{lstlisting}
-a == b @\rewrite@ ?==?( a, b )@\use{?==?}@
-a != b @\rewrite@ ?!=?( a, b )@\use{?"!=?}@
-\end{lstlisting}
-
-\predefined
-\begin{lstlisting}
-int ?==?( int, int ),
-	?!=?( int, int ),
-	?==?( unsigned int, unsigned int ),
-	?!=?( unsigned int, unsigned int ),
-	?==?( long int, long int ),
-	?!=?( long int, long int ),
-	?==?( long unsigned int, long unsigned int ),
-	?!=?( long unsigned int, long unsigned int ),
-	?==?( long long int, long long int ),
-	?!=?( long long int, long long int ),
-	?==?( long long unsigned int, long long unsigned int ),
-	?!=?( long long unsigned int, long long unsigned int ),
-	?==?( float, float ),
-	?!=?( float, float ),
-	?==?( _Complex float, float ),
-	?!=?( _Complex float, float ),
-	?==?( float, _Complex float ),
-	?!=?( float, _Complex float ),
-	?==?( _Complex float, _Complex float ),
-	?!=?( _Complex float, _Complex float ),
-	?==?( double, double ),
-	?!=?( double, double ),
-	?==?( _Complex double, double ),
-	?!=?( _Complex double, double ),
-	?==?( double, _Complex double ),
-	?!=?( double, _Complex double ),
-	?==?( _Complex double, _Complex double ),
-	?!=?( _Complex double, _Complex double ),
-	?==?( long double, long double ),
-	?!=?( long double, long double ),
-	?==?( _Complex long double, long double ),
-	?!=?( _Complex long double, long double ),
-	?==?( long double, _Complex long double ),
-	?!=?( long double, _Complex long double ),
-	?==?( _Complex long double, _Complex long double ),
-	?!=?( _Complex long double, _Complex long double );
-
-forall( dtype DT ) int
-	?==?( const restrict volatile DT *, const restrict volatile DT * ),
-	?!=?( const restrict volatile DT *, const restrict volatile DT * ),
-	?==?( const restrict volatile DT *, const restrict volatile void * ),
-	?!=?( const restrict volatile DT *, const restrict volatile void * ),
-	?==?( const restrict volatile void *, const restrict volatile DT * ),
-	?!=?( const restrict volatile void *, const restrict volatile DT * ),
-	?==?( const restrict volatile DT *, forall( dtype DT2) const DT2 * ),
-	?!=?( const restrict volatile DT *, forall( dtype DT2) const DT2 * ),
-	?==?( forall( dtype DT2) const DT2*, const restrict volatile DT * ),
-	?!=?( forall( dtype DT2) const DT2*, const restrict volatile DT * ),
-	?==?( forall( dtype DT2) const DT2*, forall( dtype DT3) const DT3 * ),
-	?!=?( forall( dtype DT2) const DT2*, forall( dtype DT3) const DT3 * ),
-
-	?==?( _Atomic const restrict volatile DT *, _Atomic const restrict volatile DT * ),
-	?!=?( _Atomic const restrict volatile DT *, _Atomic const restrict volatile DT * ),
-	?==?( _Atomic const restrict volatile DT *, const restrict volatile void * ),
-	?!=?( _Atomic const restrict volatile DT *, const restrict volatile void * ),
-	?==?( const restrict volatile void *, _Atomic const restrict volatile DT * ),
-	?!=?( const restrict volatile void *, _Atomic const restrict volatile DT * ),
-	?==?( _Atomic const restrict volatile DT *, forall( dtype DT2) const DT2 * ),
-	?!=?( _Atomic const restrict volatile DT *, forall( dtype DT2) const DT2 * ),
-	?==?( forall( dtype DT2) const DT2*, _Atomic const restrict volatile DT * ),
-	?!=?( forall( dtype DT2) const DT2*, _Atomic const restrict volatile DT * );
-
-forall( ftype FT ) int
-	?==?( FT *, FT * ),
-	?!=?( FT *, FT * ),
-	?==?( FT *, forall( ftype FT2) FT2 * ),
-	?!=?( FT *, forall( ftype FT2) FT2 * ),
-	?==?( forall( ftype FT2) FT2*, FT * ),
-	?!=?( forall( ftype FT2) FT2*, FT * ),
-	?==?( forall( ftype FT2) FT2*, forall( ftype FT3) FT3 * ),
-	?!=?( forall( ftype FT2) FT2*, forall( ftype FT3) FT3 * );
-\end{lstlisting}
-For every extended integer type \lstinline$X$ with \Index{integer conversion rank} greater than the
-rank of \lstinline$int$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-int ?==?( X, X ),
-	?!=?( X, X );
-\end{lstlisting}
-
-\begin{rationale}
-The polymorphic equality operations come in three styles: comparisons between pointers of compatible
-types, between pointers to \lstinline$void$ and pointers to object types or incomplete types, and
-between the \Index{null pointer} constant and pointers to any type. In the last case, a special
-constraint rule for null pointer constant operands has been replaced by a consequence of the \CFA
-type system.
-\end{rationale}
-
-\semantics
-The interpretations of an equality expression are the interpretations of the corresponding function
-call.
-
-\begin{sloppypar}
-The result of an equality comparison between two pointers to predefined functions or predefined
-values is implementation-defined.
-\end{sloppypar}
-\begin{rationale}
-The implementation-defined status of equality comparisons allows implementations to use one library
-routine to implement many predefined functions. These optimization are particularly important when
-the predefined functions are polymorphic, as is the case for most pointer operations
-\end{rationale}
-
-
-\subsection{Bitwise AND operator}
-
-\begin{syntax}
-\lhs{AND-expression}
-\rhs \nonterm{equality-expression}
-\rhs \nonterm{AND-expression} \lstinline$&$ \nonterm{equality-expression}
-\end{syntax}
-
-\rewriterules
-\begin{lstlisting}
-a & b @\rewrite@ ?&?( a, b )@\use{?&?}@
-\end{lstlisting}
-
-\predefined
-\begin{lstlisting}
-int ?&?( int, int );
-unsigned int ?&?( unsigned int, unsigned int );
-long int ?&?( long int, long int );
-long unsigned int ?&?( long unsigned int, long unsigned int );
-long long int ?&?( long long int, long long int );
-long long unsigned int ?&?( long long unsigned int, long long unsigned int );
-\end{lstlisting}
-For every extended integer type \lstinline$X$ with \Index{integer conversion rank} greater than the
-rank of \lstinline$int$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-int ?&?( X, X );
-\end{lstlisting}
-
-\semantics
-The interpretations of a bitwise AND expression are the interpretations of the corresponding
-function call.
-
-
-\subsection{Bitwise exclusive OR operator}
-
-\begin{syntax}
-\lhs{exclusive-OR-expression}
-\rhs \nonterm{AND-expression}
-\rhs \nonterm{exclusive-OR-expression} \lstinline$^$ \nonterm{AND-expression}
-\end{syntax}
-
-\rewriterules
-\begin{lstlisting}
-a ^ b @\rewrite@ ?^?( a, b )@\use{?^?}@
-\end{lstlisting}
-
-\predefined
-\begin{lstlisting}
-int ?^?( int, int );
-unsigned int ?^?( unsigned int, unsigned int );
-long int ?^?( long int, long int );
-long unsigned int ?^?( long unsigned int, long unsigned int );
-long long int ?^?( long long int, long long int );
-long long unsigned int ?^?( long long unsigned int, long long unsigned int );
-\end{lstlisting}
-For every extended integer type \lstinline$X$ with \Index{integer conversion rank} greater than the
-rank of \lstinline$int$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-int ?^?( X, X );
-\end{lstlisting}
-
-\semantics
-The interpretations of a bitwise exclusive OR expression are the interpretations of the
-corresponding function call.
-
-
-\subsection{Bitwise inclusive OR operator}
-
-\begin{syntax}
-\lhs{inclusive-OR-expression}
-\rhs \nonterm{exclusive-OR-expression}
-\rhs \nonterm{inclusive-OR-expression} \lstinline$|$ \nonterm{exclusive-OR-expression}
-\end{syntax}
-
-\rewriterules\use{?"|?}
-\begin{lstlisting}
-a | b @\rewrite@ ?|?( a, b )
-\end{lstlisting}
-
-\predefined
-\begin{lstlisting}
-int ?|?( int, int );
-unsigned int ?|?( unsigned int, unsigned int );
-long int ?|?( long int, long int );
-long unsigned int ?|?( long unsigned int, long unsigned int );
-long long int ?|?( long long int, long long int );
-long long unsigned int ?|?( long long unsigned int, long long unsigned int );
-\end{lstlisting}
-For every extended integer type \lstinline$X$ with \Index{integer conversion rank} greater than the
-rank of \lstinline$int$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-int ?|?( X, X );
-\end{lstlisting}
-
-\semantics 
-The interpretations of a bitwise inclusive OR expression are the interpretations of the
-corresponding function call.
-
-
-\subsection{Logical AND operator}
-
-\begin{syntax}
-\lhs{logical-AND-expression}
-\rhs \nonterm{inclusive-OR-expression}
-\rhs \nonterm{logical-AND-expression} \lstinline$&&$ \nonterm{inclusive-OR-expression}
-\end{syntax}
-
-\semantics The operands of the expression ``\lstinline$a && b$'' are treated as
-``\lstinline$(int)((a)!=0)$'' and ``\lstinline$(int)((b)!=0)$'', which shall both be
-unambiguous. The expression has only one interpretation, which is of type \lstinline$int$.
-\begin{rationale}
-When the operands of a logical expression are values of built-in types, and ``\lstinline$!=$'' has
-not been redefined for those types, the compiler can optimize away the function calls.
-
-A common C idiom omits comparisons to \lstinline$0$ in the controlling expressions of loops and
-\lstinline$if$ statements. For instance, the loop below iterates as long as \lstinline$rp$ points
-at a \lstinline$Rational$ value that is non-zero.
-
-\begin{lstlisting}
-extern type Rational;@\use{Rational}@
-extern const Rational 0;@\use{0}@
-extern int ?!=?( Rational, Rational );
-Rational *rp;
-
-while ( rp && *rp ) { ... }
-\end{lstlisting}
-The logical expression calls the \lstinline$Rational$ inequality operator, passing
-it \lstinline$*rp$ and the \lstinline$Rational 0$, and getting a 1 or 0 as a result. In
-contrast, {\CC} would apply a programmer-defined \lstinline$Rational$-to-\lstinline$int$
-conversion to \lstinline$*rp$ in the equivalent situation. The conversion to \lstinline$int$ would
-produce a general integer value, which is unfortunate, and possibly dangerous if the conversion was
-not written with this situation in mind.
-\end{rationale}
-
-
-\subsection{Logical OR operator}
-
-\begin{syntax}
-\lhs{logical-OR-expression}
-\rhs \nonterm{logical-AND-expression}
-\rhs \nonterm{logical-OR-expression} \lstinline$||$ \nonterm{logical-AND-expression}
-\end{syntax}
-
-\semantics
-
-The operands of the expression ``\lstinline$a || b$'' are treated as ``\lstinline$(int)((a)!=0)$''
-and ``\lstinline$(int)((b))!=0)$'', which shall both be unambiguous. The expression has only one
-interpretation, which is of type \lstinline$int$.
-
-
-\subsection{Conditional operator}
-
-\begin{syntax}
-\lhs{conditional-expression}
-\rhs \nonterm{logical-OR-expression}
-\rhs \nonterm{logical-OR-expression} \lstinline$?$ \nonterm{expression}
-	 \lstinline$:$ \nonterm{conditional-expression}
-\end{syntax}
-
-\semantics
-In the conditional expression\use{?:} ``\lstinline$a?b:c$'', if the second and
-third operands both have an interpretation with \lstinline$void$ type, then the expression has an
-interpretation with type \lstinline$void$, equivalent to
-\begin{lstlisting}
-( int)(( a)!=0) ? ( void)( b) : ( void)( c)
-\end{lstlisting}
-
-If the second and third operands both have interpretations with non-\lstinline$void$ types, the
-expression is treated as if it were the call ``\lstinline$cond((a)!=0, b, c)$'',
-with \lstinline$cond$ declared as
-\begin{lstlisting}
-forall( type T ) T cond( int, T, T );
- 
-forall( dtype D ) void
-	* cond( int, D *, void * ),
-	* cond( int, void *, D * );
-	
-forall( dtype D ) _atomic void
-	* cond( int, _Atomic D *, _Atomic void * ),
-	* cond( int, _Atomic void *, _Atomic D * );
-
-forall( dtype D ) const void
-	* cond( int, const D *, const void * ),
-	* cond( int, const void *, const D * );
-
-forall( dtype D ) restrict void
-	* cond( int, restrict D *, restrict void * ),
-	* cond( int, restrict void *, restrict D * );
-
-forall( dtype D ) volatile void
-	* cond( int, volatile D *, volatile void * ),
-	* cond( int, volatile void *, volatile D * );
-
-forall( dtype D ) _Atomic const void
-	* cond( int, _Atomic const D *, _Atomic const void * ),
-	* cond( int, _Atomic const void *, _Atomic const D * );
-
-forall( dtype D ) _Atomic restrict void
-	* cond( int, _Atomic restrict D *, _Atomic restrict void * ),
-	* cond( int, _Atomic restrict void *, _Atomic restrict D * );
-
-forall( dtype D ) _Atomic volatile void
-	* cond( int, _Atomic volatile D *, _Atomic volatile void * ),
-	* cond( int, _Atomic volatile void *, _Atomic volatile D * );
-
-forall( dtype D ) const restrict void
-	* cond( int, const restrict D *, const restrict void * ),
-	* cond( int, const restrict void *, const restrict D * );
-
-forall( dtype D ) const volatile void
-	* cond( int, const volatile D *, const volatile void * ),
-	* cond( int, const volatile void *, const volatile D * );
-
-forall( dtype D ) restrict volatile void
-	* cond( int, restrict volatile D *, restrict volatile void * ),
-	* cond( int, restrict volatile void *, restrict volatile D * );
-
-forall( dtype D ) _Atomic const restrict void
-	* cond( int, _Atomic const restrict D *, _Atomic const restrict void * ),
-	* cond( int, _Atomic const restrict void *, _Atomic const restrict D * );
-
-forall( dtype D ) _Atomic const volatile void
-	* cond( int, _Atomic const volatile D *, _Atomic const volatile void * ),
-	* cond( int, _Atomic const volatile void *, _Atomic const volatile D * );
-
-forall( dtype D ) _Atomic restrict volatile void
-	* cond( int, _Atomic restrict volatile D *,
-	 _Atomic restrict volatile void * ),
-	* cond( int, _Atomic restrict volatile void *,
-	 _Atomic restrict volatile D * );
-
-forall( dtype D ) const restrict volatile void
-	* cond( int, const restrict volatile D *,
-	 const restrict volatile void * ),
-	* cond( int, const restrict volatile void *,
-	 const restrict volatile D * );
-
-forall( dtype D ) _Atomic const restrict volatile void
-	* cond( int, _Atomic const restrict volatile D *,
-	 _Atomic const restrict volatile void * ),
-	* cond( int, _Atomic const restrict volatile void *,
-	 _Atomic const restrict volatile D * );
-\end{lstlisting}
-
-\begin{rationale}
-The object of the above is to apply the \Index{usual arithmetic conversion}s when the second and
-third operands have arithmetic type, and to combine the qualifiers of the second and third operands
-if they are pointers.
-\end{rationale}
-
-\examples
-\begin{lstlisting}
-#include <stdlib.h>
-int i;
-long l;
-rand() ? i : l;
-\end{lstlisting}
-The best interpretation infers the expression's type to be \lstinline$long$ and applies the safe
-\lstinline$int$-to-\lstinline$long$ conversion to \lstinline$i$.
-
-\begin{lstlisting}
-const int *cip;
-volatile int *vip;
-rand() ? cip : vip;
-\end{lstlisting}
-The expression has type \lstinline$const volatile int *$, with safe conversions applied to the second
-and third operands to add \lstinline$volatile$ and \lstinline$const$ qualifiers, respectively.
-
-\begin{lstlisting}
-rand() ? cip : 0;
-\end{lstlisting}
-The expression has type \lstinline$const int *$, with a specialization conversion applied to
-\lstinline$0$.
-
-
-\subsection{Assignment operators}
-
-\begin{syntax}
-\lhs{assignment-expression}
-\rhs \nonterm{conditional-expression}
-\rhs \nonterm{unary-expression} \nonterm{assignment-operator}
-	 \nonterm{assignment-expression}
-\lhs{assignment-operator} one of
-\rhs \lstinline$=$\ \ \lstinline$*=$\ \ \lstinline$/=$\ \ \lstinline$%=$\ \ \lstinline$+=$\ \ \lstinline$-=$\ \  
-	 \lstinline$<<=$\ \ \lstinline$>>=$\ \ \lstinline$&=$\ \ \lstinline$^=$\ \ \lstinline$|=$
-\end{syntax}
-
-\rewriterules
-Let ``\(\leftarrow\)'' be any of the assignment operators. Then
-\use{?=?}\use{?*=?}\use{?/=?}\use{?%=?}\use{?+=?}\use{?-=?}
-\use{?>>=?}\use{?&=?}\use{?^=?}\use{?"|=?}%use{?<<=?}
-\begin{lstlisting}
-a @$\leftarrow$@ b @\rewrite@ ?@$\leftarrow$@?( &( a ), b )
-\end{lstlisting}
-
-\semantics
-Each interpretation of the left operand of an assignment expression is considered separately. For
-each interpretation that is a bit-field or is declared with the \lstinline$register$ storage class
-specifier, the expression has one valid interpretation, with the type of the left operand. The
-right operand is cast to that type, and the assignment expression is ambiguous if either operand is.
-For the remaining interpretations, the expression is rewritten, and the interpretations of the
-assignment expression are the interpretations of the corresponding function call. Finally, all
-interpretations of the expression produced for the different interpretations of the left operand are
-combined to produce the interpretations of the expression as a whole; where interpretations have
-compatible result types, the best interpretations are selected in the manner described for function
-call expressions.
-
-
-\subsubsection{Simple assignment}
-
-\predefined
-\begin{lstlisting}
-_Bool
-	?=?( volatile _Bool *, _Bool ),
-	?=?( volatile _Bool *, forall( dtype D ) D * ),
-	?=?( volatile _Bool *, forall( ftype F ) F * ),
-	?=?( _Atomic volatile _Bool *, _Bool ),
-	?=?( _Atomic volatile _Bool *, forall( dtype D ) D * ),
-	?=?( _Atomic volatile _Bool *, forall( ftype F ) F * );
-char
-	?=?( volatile char *, char ),
-	?=?( _Atomic volatile char *, char );
-unsigned char
-	?=?( volatile unsigned char *, unsigned char ),
-	?=?( _Atomic volatile unsigned char *, unsigned char );
-signed char
-	?=?( volatile signed char *, signed char ),
-	?=?( _Atomic volatile signed char *, signed char );
-short int
-	?=?( volatile short int *, short int ),
-	?=?( _Atomic volatile short int *, short int );
-unsigned short
-	?=?( volatile unsigned int *, unsigned int ),
-	?=?( _Atomic volatile unsigned int *, unsigned int );
-int
-	?=?( volatile int *, int ),
-	?=?( _Atomic volatile int *, int );
-unsigned int
-	?=?( volatile unsigned int *, unsigned int ),
-	?=?( _Atomic volatile unsigned int *, unsigned int );
-long int
-	?=?( volatile long int *, long int ),
-	?=?( _Atomic volatile long int *, long int );
-unsigned long int
-	?=?( volatile unsigned long int *, unsigned long int ),
-	?=?( _Atomic volatile unsigned long int *, unsigned long int );
-long long int
-	?=?( volatile long long int *, long long int ),
-	?=?( _Atomic volatile long long int *, long long int );
-unsigned long long int
-	?=?( volatile unsigned long long int *, unsigned long long int ),
-	?=?( _Atomic volatile unsigned long long int *, unsigned long long int );
-float
-	?=?( volatile float *, float ),
-	?=?( _Atomic volatile float *, float );
-double
-	?=?( volatile double *, double ),
-	?=?( _Atomic volatile double *, double );
-long double
-	?=?( volatile long double *, long double ),
-	?=?( _Atomic volatile long double *, long double );
-_Complex float
-	?=?( volatile float *, float ),
-	?=?( _Atomic volatile float *, float );
-_Complex double
-	?=?( volatile double *, double ),
-	?=?( _Atomic volatile double *, double );
-_Complex long double
-	?=?( volatile _Complex long double *, _Complex long double ),
-	?=?( _Atomic volatile _Complex long double *, _Atomic _Complex long double );
-
-forall( ftype FT ) FT
-	* ?=?( FT * volatile *, FT * ),
-	* ?=?( FT * volatile *, forall( ftype F ) F * );
-
-forall( ftype FT ) FT const
-	* ?=?( FT const * volatile *, FT const * ),
-	* ?=?( FT const * volatile *, forall( ftype F ) F * );
-
-forall( ftype FT ) FT volatile
-	* ?=?( FT volatile * volatile *, FT * ),
-	* ?=?( FT volatile * volatile *, forall( ftype F ) F * );
-
-forall( ftype FT ) FT const
-	* ?=?( FT const volatile * volatile *, FT const * ),
-	* ?=?( FT const volatile * volatile *, forall( ftype F ) F * );
-
-forall( dtype DT ) DT
-	* ?=?( DT * restrict volatile *, DT * ),
-	* ?=?( DT * restrict volatile *, void * ),
-	* ?=?( DT * restrict volatile *, forall( dtype D ) D * ),
-	* ?=?( DT * _Atomic restrict volatile *, DT * ),
-	* ?=?( DT * _Atomic restrict volatile *, void * ),
-	* ?=?( DT * _Atomic restrict volatile *, forall( dtype D ) D * );
-
-forall( dtype DT ) DT _Atomic
-	* ?=?( _Atomic DT * restrict volatile *, DT _Atomic * ),
-	* ?=?( _Atomic DT * restrict volatile *, void * ),
-	* ?=?( _Atomic DT * restrict volatile *, forall( dtype D ) D * ),
-	* ?=?( _Atomic DT * _Atomic restrict volatile *, DT _Atomic * ),
-	* ?=?( _Atomic DT * _Atomic restrict volatile *, void * ),
-	* ?=?( _Atomic DT * _Atomic restrict volatile *, forall( dtype D ) D * );
-
-forall( dtype DT ) DT const
-	* ?=?( DT const * restrict volatile *, DT const * ),
-	* ?=?( DT const * restrict volatile *, void const * ),
-	* ?=?( DT const * restrict volatile *, forall( dtype D ) D * ),
-	* ?=?( DT const * _Atomic restrict volatile *, DT const * ),
-	* ?=?( DT const * _Atomic restrict volatile *, void const * ),
-	* ?=?( DT const * _Atomic restrict volatile *, forall( dtype D ) D * );
-
-forall( dtype DT ) DT restrict
-	* ?=?( restrict DT * restrict volatile *, DT restrict * ),
-	* ?=?( restrict DT * restrict volatile *, void * ),
-	* ?=?( restrict DT * restrict volatile *, forall( dtype D ) D * ),
-	* ?=?( restrict DT * _Atomic restrict volatile *, DT restrict * ),
-	* ?=?( restrict DT * _Atomic restrict volatile *, void * ),
-	* ?=?( restrict DT * _Atomic restrict volatile *, forall( dtype D ) D * );
-
-forall( dtype DT ) DT volatile
-	* ?=?( DT volatile * restrict volatile *, DT volatile * ),
-	* ?=?( DT volatile * restrict volatile *, void volatile * ),
-	* ?=?( DT volatile * restrict volatile *, forall( dtype D ) D * ),
-	* ?=?( DT volatile * _Atomic restrict volatile *, DT volatile * ),
-	* ?=?( DT volatile * _Atomic restrict volatile *, void volatile * ),
-	* ?=?( DT volatile * _Atomic restrict volatile *, forall( dtype D ) D * );
-
-forall( dtype DT ) DT _Atomic const
-	* ?=?( DT _Atomic const * restrict volatile *, DT _Atomic const * ),
-	* ?=?( DT _Atomic const * restrict volatile *, void const * ),
-	* ?=?( DT _Atomic const * restrict volatile *, forall( dtype D ) D * ),
-	* ?=?( DT _Atomic const * _Atomic restrict volatile *, DT _Atomic const * ),
-	* ?=?( DT _Atomic const * _Atomic restrict volatile *, void const * ),
-	* ?=?( DT _Atomic const * _Atomic restrict volatile *, forall( dtype D ) D * );
-
-forall( dtype DT ) DT _Atomic restrict
-	* ?=?( _Atomic restrict DT * restrict volatile *, DT _Atomic restrict * ),
-	* ?=?( _Atomic restrict DT * restrict volatile *, void * ),
-	* ?=?( _Atomic restrict DT * restrict volatile *, forall( dtype D ) D * ),
-	* ?=?( _Atomic restrict DT * _Atomic restrict volatile *, DT _Atomic restrict * ),
-	* ?=?( _Atomic restrict DT * _Atomic restrict volatile *, void * ),
-	* ?=?( _Atomic restrict DT * _Atomic restrict volatile *, forall( dtype D ) D * );
-
-forall( dtype DT ) DT _Atomic volatile
-	* ?=?( DT _Atomic volatile * restrict volatile *, DT _Atomic volatile * ),
-	* ?=?( DT _Atomic volatile * restrict volatile *, void volatile * ),
-	* ?=?( DT _Atomic volatile * restrict volatile *, forall( dtype D ) D * ),
-	* ?=?( DT _Atomic volatile * _Atomic restrict volatile *, DT _Atomic volatile * ),
-	* ?=?( DT _Atomic volatile * _Atomic restrict volatile *, void volatile * ),
-	* ?=?( DT _Atomic volatile * _Atomic restrict volatile *, forall( dtype D ) D * );
-
-forall( dtype DT ) DT const restrict
-	* ?=?( DT const restrict * restrict volatile *, DT const restrict * ),
-	* ?=?( DT const restrict * restrict volatile *, void const * ),
-	* ?=?( DT const restrict * restrict volatile *, forall( dtype D ) D * ),
-	* ?=?( DT const restrict * _Atomic restrict volatile *, DT const restrict * ),
-	* ?=?( DT const restrict * _Atomic restrict volatile *, void const * ),
-	* ?=?( DT const restrict * _Atomic restrict volatile *, forall( dtype D ) D * );
-
-forall( dtype DT ) DT const volatile
-	* ?=?( DT const volatile * restrict volatile *, DT const volatile * ),
-	* ?=?( DT const volatile * restrict volatile *, void const volatile * ),
-	* ?=?( DT const volatile * restrict volatile *, forall( dtype D ) D * ),
-	* ?=?( DT const volatile * _Atomic restrict volatile *, DT const volatile * ),
-	* ?=?( DT const volatile * _Atomic restrict volatile *, void const volatile * ),
-	* ?=?( DT const volatile * _Atomic restrict volatile *, forall( dtype D ) D * );
-
-forall( dtype DT ) DT restrict volatile
-	* ?=?( DT restrict volatile * restrict volatile *, DT restrict volatile * ),
-	* ?=?( DT restrict volatile * restrict volatile *, void volatile * ),
-	* ?=?( DT restrict volatile * restrict volatile *, forall( dtype D ) D * ),
-	* ?=?( DT restrict volatile * _Atomic restrict volatile *, DT restrict volatile * ),
-	* ?=?( DT restrict volatile * _Atomic restrict volatile *, void volatile * ),
-	* ?=?( DT restrict volatile * _Atomic restrict volatile *, forall( dtype D ) D * );
-
-forall( dtype DT ) DT _Atomic const restrict
-	* ?=?( DT _Atomic const restrict * restrict volatile *,
-	 DT _Atomic const restrict * ),
-	* ?=?( DT _Atomic const restrict * restrict volatile *,
-	 void const * ),
-	* ?=?( DT _Atomic const restrict * restrict volatile *,
-	 forall( dtype D ) D * ),
-	* ?=?( DT _Atomic const restrict * _Atomic restrict volatile *,
-	 DT _Atomic const restrict * ),
-	* ?=?( DT _Atomic const restrict * _Atomic restrict volatile *,
-	 void const * ),
-	* ?=?( DT _Atomic const restrict * _Atomic restrict volatile *,
-	 forall( dtype D ) D * );
-
-forall( dtype DT ) DT _Atomic const volatile
-	* ?=?( DT _Atomic const volatile * restrict volatile *,
-	 DT _Atomic const volatile * ),
-	* ?=?( DT _Atomic const volatile * restrict volatile *,
-	 void const volatile * ),
-	* ?=?( DT _Atomic const volatile * restrict volatile *,
-	 forall( dtype D ) D * ),
-	* ?=?( DT _Atomic const volatile * _Atomic restrict volatile *,
-	 DT _Atomic const volatile * ),
-	* ?=?( DT _Atomic const volatile * _Atomic restrict volatile *,
-	 void const volatile * ),
-	* ?=?( DT _Atomic const volatile * _Atomic restrict volatile *,
-	 forall( dtype D ) D * );
-
-forall( dtype DT ) DT _Atomic restrict volatile
-	* ?=?( DT _Atomic restrict volatile * restrict volatile *,
-	 DT _Atomic restrict volatile * ),
-	* ?=?( DT _Atomic restrict volatile * restrict volatile *,
-	 void volatile * ),
-	* ?=?( DT _Atomic restrict volatile * restrict volatile *,
-	 forall( dtype D ) D * ),
-	* ?=?( DT _Atomic restrict volatile * _Atomic restrict volatile *,
-	 DT _Atomic restrict volatile * ),
-	* ?=?( DT _Atomic restrict volatile * _Atomic restrict volatile *,
-	 void volatile * ),
-	* ?=?( DT _Atomic restrict volatile * _Atomic restrict volatile *,
-	 forall( dtype D ) D * );
-
-forall( dtype DT ) DT const restrict volatile
-	* ?=?( DT const restrict volatile * restrict volatile *,
-	 DT const restrict volatile * ),
-	* ?=?( DT const restrict volatile * restrict volatile *,
-	 void const volatile * ),
-	* ?=?( DT const restrict volatile * restrict volatile *,
-	 forall( dtype D ) D * ),
-	* ?=?( DT const restrict volatile * _Atomic restrict volatile *,
-	 DT const restrict volatile * ),
-	* ?=?( DT const restrict volatile * _Atomic restrict volatile *,
-	 void const volatile * ),
-	* ?=?( DT const restrict volatile * _Atomic restrict volatile *,
-	 forall( dtype D ) D * );
-
-forall( dtype DT ) DT _Atomic const restrict volatile
-	* ?=?( DT _Atomic const restrict volatile * restrict volatile *,
-	 DT _Atomic const restrict volatile * ),
-	* ?=?( DT _Atomic const restrict volatile * restrict volatile *,
-	 void const volatile * ),
-	* ?=?( DT _Atomic const restrict volatile * restrict volatile *,
-	 forall( dtype D ) D * ),
-	* ?=?( DT _Atomic const restrict volatile * _Atomic restrict volatile *,
-	 DT _Atomic const restrict volatile * ),
-	* ?=?( DT _Atomic const restrict volatile * _Atomic restrict volatile *,
-	 void const volatile * ),
-	* ?=?( DT _Atomic const restrict volatile * _Atomic restrict volatile *,
-	 forall( dtype D ) D * );
-
-forall( dtype DT ) void
-	* ?=?( void * restrict volatile *, DT * );
-
-forall( dtype DT ) void const
-	* ?=?( void const * restrict volatile *, DT const * );
-
-forall( dtype DT ) void volatile
-	* ?=?( void volatile * restrict volatile *, DT volatile * );
-
-forall( dtype DT ) void const volatile
-	* ?=?( void const volatile * restrict volatile *, DT const volatile * );
-\end{lstlisting}
-\begin{rationale}
-The pattern of overloadings for simple assignment resembles that of pointer increment and decrement,
-except that the polymorphic pointer assignment functions declare a \lstinline$dtype$ parameter,
-instead of a \lstinline$type$ parameter, because the left operand may be a pointer to an incomplete
-type.
-\end{rationale}
-
-For every complete structure or union type \lstinline$S$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-S ?=?( S volatile *, S ), ?=?( S _Atomic volatile *, S );
-\end{lstlisting}
-
-For every extended integer type \lstinline$X$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-X ?=?( X volatile *, X ), ?=?( X _Atomic volatile *, X );
-\end{lstlisting}
-
-For every complete enumerated type \lstinline$E$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-E ?=?( E volatile *, int ), ?=?( E _Atomic volatile *, int );
-\end{lstlisting}
-\begin{rationale}
-The right-hand argument is \lstinline$int$ because enumeration constants have type \lstinline$int$.
-\end{rationale}
-
-\semantics
-The structure assignment functions provide member-wise assignment; each non-array member and each
-element of each array member of the right argument is assigned to the corresponding member or
-element of the left argument using the assignment function defined for its type. All other
-assignment functions have the same effect as the corresponding C assignment expression.
-\begin{rationale}
-Note that, by default, union assignment\index{deficiencies!union assignment} uses C semantics---that
-is, bitwise copy---even if some of the union members have programmer-defined assignment functions.
-\end{rationale}
-
-
-\subsubsection{Compound assignment}
-
-\predefined
-\begin{lstlisting}
-forall( type T ) T
-	* ?+=?( T * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T _Atomic
-	* ?+=?( T _Atomic * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T _Atomic * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T const
-	* ?+=?( T const * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T const * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T const * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T const * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T restrict
-	* ?+=?( T restrict * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T restrict * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T restrict * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T restrict * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T volatile
-	* ?+=?( T volatile * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T volatile * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T volatile * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T volatile * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T _Atomic const
-	* ?+=?( T _Atomic const restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic const restrict volatile *, ptrdiff_t ),
-	* ?+=?( T _Atomic const _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic const _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T _Atomic restrict
-	* ?+=?( T _Atomic restrict * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic restrict * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T _Atomic restrict * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic restrict * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T _Atomic volatile
-	* ?+=?( T _Atomic volatile * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic volatile * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T _Atomic volatile * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic volatile * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T const restrict
-	* ?+=?( T const restrict * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T const restrict * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T const restrict * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T const restrict * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T const volatile
-	* ?+=?( T const volatile * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T const volatile * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T const volatile * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T const volatile * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T restrict volatile
-	* ?+=?( T restrict volatile * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T restrict volatile * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T restrict volatile * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T restrict volatile * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T _Atomic const restrict
-	* ?+=?( T _Atomic const restrict * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic const restrict * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T _Atomic const restrict * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic const restrict * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T _Atomic const volatile
-	* ?+=?( T _Atomic const volatile * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic const volatile * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T _Atomic const volatile * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic const volatile * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T _Atomic restrict volatile
-	* ?+=?( T _Atomic restrict volatile * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic restrict volatile * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T _Atomic restrict volatile * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic restrict volatile * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T const restrict volatile
-	* ?+=?( T const restrict volatile * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T const restrict volatile * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T const restrict volatile * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T const restrict volatile * _Atomic restrict volatile *, ptrdiff_t );
-
-forall( type T ) T _Atomic const restrict volatile
-	* ?+=?( T _Atomic const restrict volatile * restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic const restrict volatile * restrict volatile *, ptrdiff_t ),
-	* ?+=?( T _Atomic const restrict volatile * _Atomic restrict volatile *, ptrdiff_t ),
-	* ?-=?( T _Atomic const restrict volatile * _Atomic restrict volatile *, ptrdiff_t );
-
-_Bool
-	?*=?( _Bool volatile *, _Bool ),
-	?/=?( _Bool volatile *, _Bool ),
-	?+=?( _Bool volatile *, _Bool ),
-	?-=?( _Bool volatile *, _Bool ),
-	?%=?( _Bool volatile *, _Bool ),
-	?<<=?( _Bool volatile *, int ),
-	?>>=?( _Bool volatile *, int ),
-	?&=?( _Bool volatile *, _Bool ),
-	?^=?( _Bool volatile *, _Bool ),
-	?|=?( _Bool volatile *, _Bool );
-char
-	?*=?( char volatile *, char ),
-	?/=?( char volatile *, char ),
-	?+=?( char volatile *, char ),
-	?-=?( char volatile *, char ),
-	?%=?( char volatile *, char ),
-	?<<=?( char volatile *, int ),
-	?>>=?( char volatile *, int ),
-	?&=?( char volatile *, char ),
-	?^=?( char volatile *, char ),
-	?|=?( char volatile *, char );
-unsigned char
-	?*=?( unsigned char volatile *, unsigned char ),
-	?/=?( unsigned char volatile *, unsigned char ),
-	?+=?( unsigned char volatile *, unsigned char ),
-	?-=?( unsigned char volatile *, unsigned char ),
-	?%=?( unsigned char volatile *, unsigned char ),
-	?<<=?( unsigned char volatile *, int ),
-	?>>=?( unsigned char volatile *, int ),
-	?&=?( unsigned char volatile *, unsigned char ),
-	?^=?( unsigned char volatile *, unsigned char ),
-	?|=?( unsigned char volatile *, unsigned char );
-signed char
-	?*=?( signed char volatile *, signed char ),
-	?/=?( signed char volatile *, signed char ),
-	?+=?( signed char volatile *, signed char ),
-	?-=?( signed char volatile *, signed char ),
-	?%=?( signed char volatile *, signed char ),
-	?<<=?( signed char volatile *, int ),
-	?>>=?( signed char volatile *, int ),
-	?&=?( signed char volatile *, signed char ),
-	?^=?( signed char volatile *, signed char ),
-	?|=?( signed char volatile *, signed char );
-short int
-	?*=?( short int volatile *, short int ),
-	?/=?( short int volatile *, short int ),
-	?+=?( short int volatile *, short int ),
-	?-=?( short int volatile *, short int ),
-	?%=?( short int volatile *, short int ),
-	?<<=?( short int volatile *, int ),
-	?>>=?( short int volatile *, int ),
-	?&=?( short int volatile *, short int ),
-	?^=?( short int volatile *, short int ),
-	?|=?( short int volatile *, short int );
-unsigned short int
-	?*=?( unsigned short int volatile *, unsigned short int ),
-	?/=?( unsigned short int volatile *, unsigned short int ),
-	?+=?( unsigned short int volatile *, unsigned short int ),
-	?-=?( unsigned short int volatile *, unsigned short int ),
-	?%=?( unsigned short int volatile *, unsigned short int ),
-	?<<=?( unsigned short int volatile *, int ),
-	?>>=?( unsigned short int volatile *, int ),
-	?&=?( unsigned short int volatile *, unsigned short int ),
-	?^=?( unsigned short int volatile *, unsigned short int ),
-	?|=?( unsigned short int volatile *, unsigned short int );
-int
-	?*=?( int volatile *, int ),
-	?/=?( int volatile *, int ),
-	?+=?( int volatile *, int ),
-	?-=?( int volatile *, int ),
-	?%=?( int volatile *, int ),
-	?<<=?( int volatile *, int ),
-	?>>=?( int volatile *, int ),
-	?&=?( int volatile *, int ),
-	?^=?( int volatile *, int ),
-	?|=?( int volatile *, int );
-unsigned int
-	?*=?( unsigned int volatile *, unsigned int ),
-	?/=?( unsigned int volatile *, unsigned int ),
-	?+=?( unsigned int volatile *, unsigned int ),
-	?-=?( unsigned int volatile *, unsigned int ),
-	?%=?( unsigned int volatile *, unsigned int ),
-	?<<=?( unsigned int volatile *, int ),
-	?>>=?( unsigned int volatile *, int ),
-	?&=?( unsigned int volatile *, unsigned int ),
-	?^=?( unsigned int volatile *, unsigned int ),
-	?|=?( unsigned int volatile *, unsigned int );
-long int
-	?*=?( long int volatile *, long int ),
-	?/=?( long int volatile *, long int ),
-	?+=?( long int volatile *, long int ),
-	?-=?( long int volatile *, long int ),
-	?%=?( long int volatile *, long int ),
-	?<<=?( long int volatile *, int ),
-	?>>=?( long int volatile *, int ),
-	?&=?( long int volatile *, long int ),
-	?^=?( long int volatile *, long int ),
-	?|=?( long int volatile *, long int );
-unsigned long int
-	?*=?( unsigned long int volatile *, unsigned long int ),
-	?/=?( unsigned long int volatile *, unsigned long int ),
-	?+=?( unsigned long int volatile *, unsigned long int ),
-	?-=?( unsigned long int volatile *, unsigned long int ),
-	?%=?( unsigned long int volatile *, unsigned long int ),
-	?<<=?( unsigned long int volatile *, int ),
-	?>>=?( unsigned long int volatile *, int ),
-	?&=?( unsigned long int volatile *, unsigned long int ),
-	?^=?( unsigned long int volatile *, unsigned long int ),
-	?|=?( unsigned long int volatile *, unsigned long int );
-long long int
-	?*=?( long long int volatile *, long long int ),
-	?/=?( long long int volatile *, long long int ),
-	?+=?( long long int volatile *, long long int ),
-	?-=?( long long int volatile *, long long int ),
-	?%=?( long long int volatile *, long long int ),
-	?<<=?( long long int volatile *, int ),
-	?>>=?( long long int volatile *, int ),
-	?&=?( long long int volatile *, long long int ),
-	?^=?( long long int volatile *, long long int ),
-	?|=?( long long int volatile *, long long int );
-unsigned long long int
-	?*=?( unsigned long long int volatile *, unsigned long long int ),
-	?/=?( unsigned long long int volatile *, unsigned long long int ),
-	?+=?( unsigned long long int volatile *, unsigned long long int ),
-	?-=?( unsigned long long int volatile *, unsigned long long int ),
-	?%=?( unsigned long long int volatile *, unsigned long long int ),
-	?<<=?( unsigned long long int volatile *, int ),
-	?>>=?( unsigned long long int volatile *, int ),
-	?&=?( unsigned long long int volatile *, unsigned long long int ),
-	?^=?( unsigned long long int volatile *, unsigned long long int ),
-	?|=?( unsigned long long int volatile *, unsigned long long int );
-float
-	?*=?( float volatile *, float ),
-	?/=?( float volatile *, float ),
-	?+=?( float volatile *, float ),
-	?-=?( float volatile *, float );
-double
-	?*=?( double volatile *, double ),
-	?/=?( double volatile *, double ),
-	?+=?( double volatile *, double ),
-	?-=?( double volatile *, double );
-long double
-	?*=?( long double volatile *, long double ),
-	?/=?( long double volatile *, long double ),
-	?+=?( long double volatile *, long double ),
-	?-=?( long double volatile *, long double );
-_Complex float
-	?*=?( _Complex float volatile *, _Complex float ),
-	?/=?( _Complex float volatile *, _Complex float ),
-	?+=?( _Complex float volatile *, _Complex float ),
-	?-=?( _Complex float volatile *, _Complex float );
-_Complex double
-	?*=?( _Complex double volatile *, _Complex double ),
-	?/=?( _Complex double volatile *, _Complex double ),
-	?+=?( _Complex double volatile *, _Complex double ),
-	?-=?( _Complex double volatile *, _Complex double );
-_Complex long double
-	?*=?( _Complex long double volatile *, _Complex long double ),
-	?/=?( _Complex long double volatile *, _Complex long double ),
-	?+=?( _Complex long double volatile *, _Complex long double ),
-	?-=?( _Complex long double volatile *, _Complex long double );
-\end{lstlisting}
-
-For every extended integer type \lstinline$X$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-?*=?( X volatile *, X ),
-?/=?( X volatile *, X ),
-?+=?( X volatile *, X ),
-?-=?( X volatile *, X ),
-?%=?( X volatile *, X ),
-?<<=?( X volatile *, int ),
-?>>=?( X volatile *, int ),
-?&=?( X volatile *, X ),
-?^=?( X volatile *, X ),
-?|=?( X volatile *, X );
-\end{lstlisting}
-
-For every complete enumerated type \lstinline$E$ there exist
-% Don't use predefined: keep this out of prelude.cf.
-\begin{lstlisting}
-?*=?( E volatile *, E ),
-?/=?( E volatile *, E ),
-?+=?( E volatile *, E ),
-?-=?( E volatile *, E ),
-?%=?( E volatile *, E ),
-?<<=?( E volatile *, int ),
-?>>=?( E volatile *, int ),
-?&=?( E volatile *, E ),
-?^=?( E volatile *, E ),
-?|=?( E volatile *, E );
-\end{lstlisting}
-
-
-\subsection{Comma operator}
-
-\begin{syntax}
-\lhs{expression}
-\rhs \nonterm{assignment-expression}
-\rhs \nonterm{expression} \lstinline$,$ \nonterm{assignment-expression}
-\end{syntax}
-
-\semantics
-In the comma expression ``\lstinline$a, b$'', the first operand is interpreted as
-``\lstinline$( void )(a)$'', which shall be unambiguous\index{ambiguous interpretation}. The
-interpretations of the expression are the interpretations of the second operand.
-
-
-\section{Constant expressions}
-
-
-\section{Declarations}
-
-\begin{syntax}
-\oldlhs{declaration}
-\rhs \nonterm{type-declaration}
-\rhs \nonterm{spec-definition}
-\end{syntax}
-
-\constraints
-If an identifier has \Index{no linkage}, there shall be no more than one declaration of the
-identifier ( in a declarator or type specifier ) with compatible types in the same scope and in the
-same name space, except that:
-\begin{itemize}
-\item
-a typedef name may be redefined to denote the same type as it currently does, provided that type is
-not a variably modified type;
-\item
-tags may be redeclared as specified in section 6.7.2.3 of the {\c11} standard.
-\end{itemize}
-\begin{rationale}
-This constraint adds the phrase ``with compatible types'' to the {\c11} constraint, to allow
-overloading.
-\end{rationale}
-
-An identifier declared by a type declaration shall not be redeclared as a parameter in a function
-definition whose declarator includes an identifier list.
-\begin{rationale}
-This restriction echos {\c11}'s ban on the redeclaration of typedef names as parameters. This
-avoids an ambiguity between old-style function declarations and new-style function prototypes:
-\begin{lstlisting}
-void f( Complex,	// ... 3000 characters ...
-void g( Complex,	// ... 3000 characters ...
-int Complex; { ... }
-\end{lstlisting}
-Without the rule, \lstinline$Complex$ would be a type in the first case, and a parameter name in the
-second.
-\end{rationale}
-
-
-\setcounter{subsection}{1}
-\subsection{Type specifiers}
-
-\begin{syntax}
-\oldlhs{type-specifier}
-\rhs \nonterm{forall-specifier}
-\end{syntax}
-
-\semantics
-Forall specifiers are discussed in \VRef{forall}.
-
-
-\subsubsection{Structure and union specifiers}
-
-\semantics 
-\CFA extends the {\c11} definition of \define{anonymous structure} to include structure
-specifiers with tags, and extends the {\c11} definition of \define{anonymous union} to include union
-specifiers with tags.
-\begin{rationale}
-This extension imitates an extension in the Plan 9 C compiler \cite{Thompson90new}.
-\end{rationale}
-
-\examples
-\begin{lstlisting}
-struct point {@\impl{point}@
-	int x, y;
-};
-struct color_point {@\impl{color_point}@
-	enum { RED, BLUE, GREEN } color;
-	struct point;
-};
-struct color_point cp;
-cp.x = 0;
-cp.color = RED;
-
-struct literal {@\impl{literal}@
-	enum { NUMBER, STRING } tag;
-	union {
-	 double n;
-	 char *s;
-	};
-};
-struct literal *next;
-int length;
-extern int strlen( const char * );
-...
-if ( next->tag == STRING ) length = strlen( next->s );
-\end{lstlisting}
-
-
-\setcounter{subsubsection}{4}
-\subsubsection{Forall specifiers}
-\label{forall}
-
-\begin{syntax}
-\lhs{forall-specifier}
-\rhs \lstinline$forall$ \lstinline$($ \nonterm{type-parameter-list} \lstinline$)$
-\end{syntax}
-
-\begin{comment}
-\constraints
-If the \nonterm{declaration-specifiers} of a declaration that contains a \nonterm{forall-specifier}
-declares a structure or union tag, the types of the members of the structure or union shall not use
-any of the type identifiers declared by the \nonterm{type-parameter-list}.
-\begin{rationale}
-This sort of declaration is illegal because the scope of the type identifiers ends at the end of the
-declaration, but the scope of the structure tag does not.
-\begin{lstlisting}
-forall( type T ) struct Pair { T a, b; } mkPair( T, T ); // illegal 
-\end{lstlisting}
-If an instance of \lstinline$struct Pair$ was declared later in the current scope, what would the
-members' type be?
-\end{rationale}
-\end{comment}
-
-\semantics
-The \nonterm{type-parameter-list}s and assertions of the \nonterm{forall-specifier}s declare type
-identifiers, function and object identifiers with \Index{no linkage}.
-
-If, in the declaration ``\lstinline$T D$'', \lstinline$T$ contains \nonterm{forall-specifier}s and
-\lstinline$D$ has the form
-\begin{lstlisting}
-D( @\normalsize\nonterm{parameter-type-list}@ )
-\end{lstlisting}
-then a type identifier declared by one of the \nonterm{forall-specifier}s is an \define{inferred
-parameter} of the function declarator if and only if it is not an inferred parameter of a function
-declarator in \lstinline$D$, and it is used in the type of a parameter in the following
-\nonterm{type-parameter-list} or it and an inferred parameter are used as arguments of a
-\Index{specification} in one of the \nonterm{forall-specifier}s. The identifiers declared by
-assertions that use an inferred parameter of a function declarator are \Index{assertion parameter}s
-of that function declarator.
-
-\begin{comment}
-\begin{rationale}
-Since every inferred parameter is used by some parameter, inference can be understood as a single
-bottom-up pass over the expression tree, that only needs to apply local reasoning at each node.
-
-If this restriction were lifted, it would be possible to write
-\begin{lstlisting}
-forall( type T ) T * alloc( void );@\use{alloc}@
-int *p = alloc();
-\end{lstlisting}
-Here \lstinline$alloc()$ would receive \lstinline$int$ as an inferred argument, and return an
-\lstinline$int *$. In general, if a call to \lstinline$alloc()$ is a subexpression of an expression
-involving polymorphic functions and overloaded identifiers, there could be considerable distance
-between the call and the subexpression that causes \lstinline$T$ to be bound.
-
-With the current restriction, \lstinline$alloc()$ must be given an argument that determines
-\lstinline$T$:
-\begin{lstlisting}
-forall( type T ) T * alloc( T initial_value );@\use{alloc}@
-\end{lstlisting}
-\end{rationale}
-\end{comment}
-
-If a function declarator is part of a function definition, its inferred parameters and assertion
-parameters have \Index{block scope}; otherwise, identifiers declared by assertions have a
-\define{declaration scope}, which terminates at the end of the \nonterm{declaration}.
-
-A function type that has at least one inferred parameter is a \define{polymorphic function} type.
-Function types with no inferred parameters are \define{monomorphic function} types. One function
-type is \define{less polymorphic} than another if it has fewer inferred parameters, or if it has the
-same number of inferred parameters and fewer of its explicit parameters have types that depend on an
-inferred parameter.
-
-The names of inferred parameters and the order of identifiers in forall specifiers are not relevant
-to polymorphic function type compatibility. Let $f$ and $g$ be two polymorphic function types with
-the same number of inferred parameters, and let $f_i$ and $g_i$ be the inferred parameters of $f$
-and $g$ in their order of occurance in the function types' \nonterm{parameter-type-list}s. Let $f'$
-be $f$ with every occurrence of $f_i$ replaced by $g_i$, for all $i$. Then $f$ and $g$ are
-\Index{compatible type}s if $f'$'s and $g$'s return types and parameter lists are compatible, and if
-for every assertion parameter of $f'$ there is an assertion parameter in $g$ with the same
-identifier and compatible type, and vice versa.
-
-\examples
-Consider these analogous monomorphic and polymorphic declarations.
-\begin{lstlisting}
-int fi( int );
-forall( type T ) T fT( T );
-\end{lstlisting}
-\lstinline$fi()$ takes an \lstinline$int$ and returns an \lstinline$int$. \lstinline$fT()$ takes a
-\lstinline$T$ and returns a \lstinline$T$, for any type \lstinline$T$.
-\begin{lstlisting}
-int (*pfi )( int ) = fi;
-forall( type T ) T (*pfT )( T ) = fT;
-\end{lstlisting}
-\lstinline$pfi$ and \lstinline$pfT$ are pointers to functions. \lstinline$pfT$ is not
-polymorphic, but the function it points at is.
-\begin{lstlisting}
-int (*fvpfi( void ))( int ) {
-	return pfi;
-}
-forall( type T ) T (*fvpfT( void ))( T ) {
-	return pfT;
-}
-\end{lstlisting}
-\lstinline$fvpfi()$ and \lstinline$fvpfT()$ are functions taking no arguments and returning pointers
-to functions. \lstinline$fvpfT()$ is monomorphic, but the function that its return value points
-at is polymorphic.
-\begin{lstlisting}
-forall( type T ) int ( *fTpfi( T ) )( int );
-forall( type T ) T ( *fTpfT( T ) )( T );
-forall( type T, type U ) U ( *fTpfU( T ) )( U );
-\end{lstlisting}
-\lstinline$fTpfi()$ is a polymorphic function that returns a pointer to a monomorphic function
-taking an integer and returning an integer. It could return \lstinline$pfi$. \lstinline$fTpfT()$
-is subtle: it is a polymorphic function returning a \emph{monomorphic} function taking and returning
-\lstinline$T$, where \lstinline$T$ is an inferred parameter of \lstinline$fTpfT()$. For instance,
-in the expression ``\lstinline$fTpfT(17)$'', \lstinline$T$ is inferred to be \lstinline$int$, and
-the returned value would have type \lstinline$int ( * )( int )$. ``\lstinline$fTpfT(17)(13)$'' and
-``\lstinline$fTpfT("yes")("no")$'' are legal, but ``\lstinline$fTpfT(17)("no")$'' is illegal.
-\lstinline$fTpfU()$ is polymorphic ( in type \lstinline$T$), and returns a pointer to a function that
-is polymorphic ( in type \lstinline$U$). ``\lstinline$f5(17)("no")$'' is a legal expression of type
-\lstinline$char *$.
-\begin{lstlisting}
-forall( type T, type U, type V ) U * f( T *, U, V * const );
-forall( type U, type V, type W ) U * g( V *, U, W * const );
-\end{lstlisting}
-The functions \lstinline$f()$ and \lstinline$g()$ have compatible types. Let \(f\) and \(g\) be
-their types; then \(f_1\) = \lstinline$T$, \(f_2\) = \lstinline$U$, \(f_3\) = \lstinline$V$, \(g_1\)
-= \lstinline$V$, \(g_2\) = \lstinline$U$, and \(g_3\) = \lstinline$W$. Replacing every \(f_i\)
-by \(g_i\) in \(f\) gives
-\begin{lstlisting}
-forall( type V, type U, type W ) U * f( V *, U, W * const );
-\end{lstlisting}
-which has a return type and parameter list that is compatible with \(g\).
-\begin{rationale}
-The word ``\lstinline$type$'' in a forall specifier is redundant at the moment, but I want to leave
-room for inferred parameters of ordinary types in case parameterized types get added one day.
-
-Even without parameterized types, I might try to allow
-\begin{lstlisting}
-forall( int n ) int sum( int vector[n] );
-\end{lstlisting}
-but C currently rewrites array parameters as pointer parameters, so the effects of such a change
-require more thought.
-\end{rationale}
-
-\begin{rationale}
-A polymorphic declaration must do two things: it must introduce type parameters, and it must apply
-assertions to those types. Adding this to existing C declaration syntax and semantics was delicate,
-and not entirely successful.
-
-C depends on declaration-before-use, so a forall specifier must introduce type names before they can
-be used in the declaration specifiers. This could be done by making the forall specifier part of
-the declaration specifiers, or by making it a new introductory clause of declarations.
-
-Assertions are also part of polymorphic function types, because it must be clear which functions
-have access to the assertion parameters declared by the assertions. All attempts to put assertions
-inside an introductory clause produced complex semantics and confusing code. Building them into the
-declaration specifiers could be done by placing them in the function's parameter list, or in a
-forall specifier that is a declaration specifier. Assertions are also used with type parameters of
-specifications, and by type declarations. For consistency's sake it seems best to attach assertions
-to the type declarations in forall specifiers, which means that forall specifiers must be
-declaration specifiers.
-\end{rationale}
-%HERE
-
-
-\subsection{Type qualifiers}
-
-\CFA defines a new type qualifier \lstinline$lvalue$\impl{lvalue}\index{lvalue}.
-\begin{syntax}
-\oldlhs{type-qualifier}
-\rhs \lstinline$lvalue$
-\end{syntax}
-
-\constraints
-\lstinline$restrict$\index{register@{\lstinline$restrict$}} Types other than type parameters and
-pointer types whose referenced type is an object type shall not be restrict-qualified.
-
-\semantics
-An object's type may be a restrict-qualified type parameter. \lstinline$restrict$ does not
-establish any special semantics in that case.
-
-\begin{rationale}
-\CFA loosens the constraint on the restrict qualifier so that restrict-qualified pointers may be
-passed to polymorphic functions.
-\end{rationale}
-
-\lstinline$lvalue$ may be used to qualify the return type of a function type. Let \lstinline$T$ be
-an unqualified version of a type; then the result of calling a function with return type
-\lstinline$lvalue T$ is a \Index{modifiable lvalue} of type \lstinline$T$.
-\lstinline$const$\use{const} and \lstinline$volatile$\use{volatile} qualifiers may also be added to
-indicate that the function result is a constant or volatile lvalue.
-\begin{rationale}
-The \lstinline$const$ and \lstinline$volatile$ qualifiers can only be sensibly used to qualify the
-return type of a function if the \lstinline$lvalue$ qualifier is also used.
-\end{rationale}
-
-An {lvalue}-qualified type may be used in a \Index{cast expression} if the operand is an lvalue; the
-result of the expression is an lvalue.
-
-\begin{rationale}
-\lstinline$lvalue$ provides some of the functionality of {\CC}'s ``\lstinline$T&$'' ( reference to
-object of type \lstinline$T$) type. Reference types have four uses in {\CC}.
-\begin{itemize}
-\item
-They are necessary for user-defined operators that return lvalues, such as ``subscript'' and
-``dereference''.
-
-\item
-A reference can be used to define an alias for a complicated lvalue expression, as a way of getting
-some of the functionality of the Pascal \lstinline$with$ statement. The following {\CC} code gives
-an example.
-\begin{lstlisting}
-{
-	char &code = long_name.some_field[i].data->code;
-	code = toupper( code );
-}
-\end{lstlisting}
-This is not very useful.
-
-\item
-A reference parameter can be used to allow a function to modify an argument without forcing the
-caller to pass the address of the argument. This is most useful for user-defined assignment
-operators. In {\CC}, plain assignment is done by a function called ``\lstinline$operator=$'', and
-the two expressions
-\begin{lstlisting}
-a = b;
-operator=( a, b );
-\end{lstlisting}
-are equivalent. If \lstinline$a$ and \lstinline$b$ are of type \lstinline$T$, then the first
-parameter of \lstinline$operator=$ must have type ``\lstinline$T&$''. It cannot have type
-\lstinline$T$, because then assignment couldn't alter the variable, and it can't have type
-``\lstinline$T *$'', because the assignment would have to be written ``\lstinline$&a = b;$''.
-
-In the case of user-defined operators, this could just as well be handled by using pointer types and
-by changing the rewrite rules so that ``\lstinline$a = b;$'' is equivalent to
-``\lstinline$operator=(&( a), b )$''. Reference parameters of ``normal'' functions are Bad Things,
-because they remove a useful property of C function calls: an argument can only be modified by a
-function if it is preceded by ``\lstinline$&$''.
-
-\item
-References to \Index{const-qualified} types can be used instead of value parameters.  Given the
-{\CC} function call ``\lstinline$fiddle( a_thing )$'', where the type of \lstinline$a_thing$ is
-\lstinline$Thing$, the type of \lstinline$fiddle$ could be either of
-\begin{lstlisting}
-void fiddle( Thing );
-void fiddle( const Thing & );
-\end{lstlisting}
-If the second form is used, then constructors and destructors are not invoked to create a temporary
-variable at the call site ( and it is bad style for the caller to make any assumptions about such
-things), and within \lstinline$fiddle$ the parameter is subject to the usual problems caused by
-aliases. The reference form might be chosen for efficiency's sake if \lstinline$Thing$s are too
-large or their constructors or destructors are too expensive. An implementation may switch between
-them without causing trouble for well-behaved clients. This leaves the implementor to define ``too
-large'' and ``too expensive''.
-
-I propose to push this job onto the compiler by allowing it to implement
-\begin{lstlisting}
-void fiddle( const volatile Thing );
-\end{lstlisting}
-with call-by-reference. Since it knows all about the size of \lstinline$Thing$s and the parameter
-passing mechanism, it should be able to come up with a better definition of ``too large'', and may
-be able to make a good guess at ``too expensive''.
-\end{itemize}
-
-In summary, since references are only really necessary for returning lvalues, I'll only provide
-lvalue functions.
-\end{rationale}
-
-
-\setcounter{subsection}{8}
-\subsection{Initialization}
-
-An expression that is used as an \nonterm{initializer} is treated as being cast to the type of the
-object being initialized. An expression used in an \nonterm{initializer-list} is treated as being
-cast to the type of the aggregate member that it initializes. In either case the cast must have a
-single unambiguous \Index{interpretation}.
-
-
-\setcounter{subsection}{10}
-\subsection{Specification definitions}
-
-\begin{syntax}
-\lhs{spec-definition}
-\rhs \lstinline$spec$ \nonterm{identifier} 
-	\lstinline$($ \nonterm{type-parameter-list} \lstinline$)$
-	\lstinline${$ \nonterm{spec-declaration-list}\opt \lstinline$}$
-\lhs{spec-declaration-list}
-\rhs \nonterm{spec-declaration} \lstinline$;$
-\rhs \nonterm{spec-declaration-list} \nonterm{spec-declaration} \lstinline$;$
-\lhs{spec-declaration}
-\rhs \nonterm{specifier-qualifier-list} \nonterm{declarator-list}
-\lhs{declarator-list}
-\rhs \nonterm{declarator}
-\rhs \nonterm{declarator-list} \lstinline$,$ \nonterm{declarator}
-\end{syntax}
-\begin{rationale}
-The declarations allowed in a specification are much the same as those allowed in a structure,
-except that bit fields are not allowed, and \Index{incomplete type}s and function types are allowed.
-\end{rationale}
-
-\semantics
-A \define{specification definition} defines a name for a \define{specification}: a parameterized
-collection of object and function declarations.
-
-The declarations in a specification consist of the declarations in the
-\nonterm{spec-declaration-list} and declarations produced by any assertions in the
-\nonterm{spec-parameter-list}. If the collection contains two declarations that declare the same
-identifier and have compatible types, they are combined into one declaration with the composite type
-constructed from the two types.
-
-
-\subsubsection{Assertions}
-
-\begin{syntax}
-\lhs{assertion-list}
-\rhs \nonterm{assertion}
-\rhs \nonterm{assertion-list} \nonterm{assertion}
-\lhs{assertion}
-\rhs \lstinline$|$ \nonterm{identifier} \lstinline$($ \nonterm{type-name-list} \lstinline$)$
-\rhs \lstinline$|$ \nonterm{spec-declaration}
-\lhs{type-name-list}
-\rhs \nonterm{type-name}
-\rhs \nonterm{type-name-list} \lstinline$,$ \nonterm{type-name}
-\end{syntax}
-
-\constraints
-The \nonterm{identifier} in an assertion that is not a \nonterm{spec-declaration} shall be the name
-of a specification. The \nonterm{type-name-list} shall contain one \nonterm{type-name} argument for
-each \nonterm{type-parameter} in that specification's \nonterm{spec-parameter-list}. If the
-\nonterm{type-parameter} uses type-class \lstinline$type$\use{type}, the argument shall be the type
-name of an \Index{object type}; if it uses \lstinline$dtype$, the argument shall be the type name of
-an object type or an \Index{incomplete type}; and if it uses \lstinline$ftype$, the argument shall
-be the type name of a \Index{function type}.
-
-\semantics
-An \define{assertion} is a declaration of a collection of objects and functions, called
-\define{assertion parameters}.
-
-The assertion parameters produced by an assertion that applies the name of a specification to type
-arguments are found by taking the declarations specified in the specification and treating each of
-the specification's parameters as a synonym for the corresponding \nonterm{type-name} argument.
-
-The collection of assertion parameters produced by the \nonterm{assertion-list} are found by
-combining the declarations produced by each assertion. If the collection contains two declarations
-that declare the same identifier and have compatible types, they are combined into one declaration
-with the \Index{composite type} constructed from the two types.
-
-\examples
-\begin{lstlisting}
-forall( type T | T ?*?( T, T ))@\use{?*?}@
-T square( T val ) {@\impl{square}@
-	return val + val;
-}
-
-context summable( type T ) {@\impl{summable}@
-	T ?+=?( T *, T );@\use{?+=?}@
-	const T 0;@\use{0}@
-};
-context list_of( type List, type Element ) {@\impl{list_of}@
-	Element car( List );
-	List cdr( List );
-	List cons( Element, List );
-	List nil;
-	int is_nil( List );
-};
-context sum_list( type List, type Element | summable( Element ) | list_of( List, Element ) ) {};
-\end{lstlisting}
-\lstinline$sum_list$ contains seven declarations, which describe a list whose elements can be added
-up. The assertion ``\lstinline$|sum_list( i_list, int )$''\use{sum_list} produces the assertion
-parameters
-\begin{lstlisting}
-int ?+=?( int *, int );
-const int 0;
-int car( i_list );
-i_list cdr( i_list );
-i_list cons( int, i_list );
-i_list nil;
-int is_nil;
-\end{lstlisting}
-
-
-\subsection{Type declarations}
-
-\begin{syntax}
-\lhs{type-parameter-list}
-\rhs \nonterm{type-parameter}
-\rhs \nonterm{type-parameter-list} \lstinline$,$ \nonterm{type-parameter}
-\lhs{type-parameter}
-\rhs \nonterm{type-class} \nonterm{identifier} \nonterm{assertion-list}\opt
-\lhs{type-class}
-\rhs \lstinline$type$
-\rhs \lstinline$dtype$
-\rhs \lstinline$ftype$
-\lhs{type-declaration}
-\rhs \nonterm{storage-class-specifier}\opt \lstinline$type$ \nonterm{type-declarator-list} \verb|;|
-\lhs{type-declarator-list}
-\rhs \nonterm{type-declarator}
-\rhs \nonterm{type-declarator-list} \lstinline$,$ \nonterm{type-declarator}
-\lhs{type-declarator}
-\rhs \nonterm{identifier} \nonterm{assertion-list}\opt \lstinline$=$ \nonterm{type-name}
-\rhs \nonterm{identifier} \nonterm{assertion-list}\opt
-\end{syntax}
-
-\constraints
-If a type declaration has block scope, and the declared identifier has external or internal linkage,
-the declaration shall have no initializer for the identifier.
-
-\semantics
-A \nonterm{type-parameter} or a \nonterm{type-declarator} declares an identifier to be a \Index{type
-name} for a type incompatible with all other types.
-
-An identifier declared by a \nonterm{type-parameter} has \Index{no linkage}. Identifiers declared
-with type-class \lstinline$type$\use{type} are \Index{object type}s; those declared with type-class
-\lstinline$dtype$\use{dtype} are \Index{incomplete type}s; and those declared with type-class
-\lstinline$ftype$\use{ftype} are \Index{function type}s. The identifier has \Index{block scope} that
-terminates at the end of the \nonterm{spec-declaration-list} or polymorphic function that contains
-the \nonterm{type-parameter}.
-
-A \nonterm{type-declarator} with an \Index{initializer} is a \define{type definition}.  The declared
-identifier is an \Index{incomplete type} within the initializer, and an \Index{object type} after
-the end of the initializer. The type in the initializer is called the \define{implementation
-  type}. Within the scope of the declaration, \Index{implicit conversion}s can be performed between
-the defined type and the implementation type, and between pointers to the defined type and pointers
-to the implementation type.
-
-A type declaration without an \Index{initializer} and without a \Index{storage-class specifier} or
-with storage-class specifier \lstinline$static$\use{static} defines an \Index{incomplete type}. If a
-\Index{translation unit} or \Index{block} contains one or more such declarations for an identifier,
-it must contain exactly one definition of the identifier ( but not in an enclosed block, which would
-define a new type known only within that block).
-\begin{rationale}
-Incomplete type declarations allow compact mutually-recursive types.
-\begin{lstlisting}
-type t1; // Incomplete type declaration. 
-type t2 = struct { t1 * p; ... };
-type t1 = struct { t2 * p; ... };
-\end{lstlisting}
-Without them, mutual recursion could be handled by declaring mutually recursive structures, then
-initializing the types to those structures.
-\begin{lstlisting}
-struct s1;
-type t2 = struct s2 { struct s1 * p; ... };
-type t1 = struct s1 { struct s2 * p; ... };
-\end{lstlisting}
-This introduces extra names, and may force the programmer to cast between the types and their
-implementations.
-\end{rationale}
-
-A type declaration without an initializer and with \Index{storage-class specifier}
-\lstinline$extern$\use{extern} is an \define{opaque type declaration}. Opaque types are
-\Index{object type}s. An opaque type is not a \nonterm{constant-expression}; neither is a structure
-or union that has a member whose type is not a \nonterm{constant-expression}.  Every other
-\Index{object type} is a \nonterm{constant-expression}. Objects with static storage duration shall
-be declared with a type that is a \nonterm{constant-expression}.
-\begin{rationale}
-Type declarations can declare identifiers with external linkage, whereas typedef declarations
-declare identifiers that only exist within a translation unit. These opaque types can be used in
-declarations, but the implementation of the type is not visible.
-
-Static objects can not have opaque types because space for them would have to be allocated at
-program start-up. This is a deficiency\index{deficiencies!static opaque objects}, but I don't want
-to deal with ``module initialization'' code just now.
-\end{rationale}
-
-An \Index{incomplete type} which is not a qualified version\index{qualified type} of a type is a
-value of \Index{type-class} \lstinline$dtype$. An object type\index{object types} which is not a
-qualified version of a type is a value of type-classes \lstinline$type$ and \lstinline$dtype$. A
-\Index{function type} is a value of type-class \lstinline$ftype$.
-\begin{rationale}
-Syntactically, a type value is a \nonterm{type-name}, which is a declaration for an object which
-omits the identifier being declared.
-
-Object types are precisely the types that can be instantiated. Type qualifiers are not included in
-type values because the compiler needs the information they provide at compile time to detect
-illegal statements or to produce efficient machine instructions. For instance, the code that a
-compiler must generate to manipulate an object that has volatile-qualified type may be different
-from the code to manipulate an ordinary object.
-
-Type qualifiers are a weak point of C's type system. Consider the standard library function
-\lstinline$strchr()$ which, given a string and a character, returns a pointer to the first
-occurrence of the character in the string.
-\begin{lstlisting}
-char *strchr( const char *s, int c ) {@\impl{strchr}@
-	char real_c = c; // done because c was declared as int. 
-	for ( ; *s != real_c; s++ )
-	 if ( *s == '\0' ) return NULL;
-	return ( char * )s;
-}
-\end{lstlisting}
-The parameter \lstinline$s$ must be \lstinline$const char *$, because \lstinline$strchr()$ might be
-used to search a constant string, but the return type must be \lstinline$char *$, because the result
-might be used to modify a non-constant string. Hence the body must perform a cast, and ( even worse)
-\lstinline$strchr()$ provides a type-safe way to attempt to modify constant strings. What is needed
-is some way to say that \lstinline$s$'s type might contain qualifiers, and the result type has
-exactly the same qualifiers. Polymorphic functions do not provide a fix for this
-deficiency\index{deficiencies!pointers to qualified types}, because type qualifiers are not part of
-type values. Instead, overloading can be used to define \lstinline$strchr()$ for each combination
-of qualifiers.
-\end{rationale}
-
-\begin{rationale}
-Since \Index{incomplete type}s are not type values, they can not be used as the initializer in a
-type declaration, or as the type of a structure or union member. This prevents the declaration of
-types that contain each other.
-\begin{lstlisting}
-type t1;
-type t2 = t1; // illegal: incomplete type t1. 
-type t1 = t2;
-\end{lstlisting}
-
-The initializer in a file-scope declaration must be a constant expression. This means type
-declarations can not build on opaque types, which is a deficiency\index{deficiencies!nesting opaque
- types}.
-\begin{lstlisting}
-extern type Huge; // extended-precision integer type. 
-type Rational = struct {
-	Huge numerator, denominator;	// illegal 
-};
-struct Pair {
-	Huge first, second;				// legal 
-};
-\end{lstlisting}
-Without this restriction, \CFA might require ``module initialization'' code ( since
-\lstinline$Rational$ has external linkage, it must be created before any other translation unit
-instantiates it), and would force an ordering on the initialization of the translation unit that
-defines \lstinline$Huge$ and the translation that declares \lstinline$Rational$.
-
-A benefit of the restriction is that it prevents the declaration in separate translation units of
-types that contain each other, which would be hard to prevent otherwise.
-\begin{lstlisting}
-//  File a.c:
-	extern type t1;
-	type t2 = struct { t1 f1; ... } // illegal 
-//  File b.c:
-	extern type t2;
-	type t1 = struct { t2 f2; ... } // illegal 
-\end{lstlisting}
-\end{rationale}
-
-\begin{rationale}
-Since a \nonterm{type-declaration} is a \nonterm{declaration} and not a
-\nonterm{struct-declaration}, type declarations can not be structure members. The form of
-\nonterm{type-declaration} forbids arrays of, pointers to, and functions returning \lstinline$type$.
-Hence the syntax of \nonterm{type-specifier} does not have to be extended to allow type-valued
-expressions. It also side-steps the problem of type-valued expressions producing different values
-in different declarations.
-
-Since a type declaration is not a \nonterm{parameter-declaration}, functions can not have explicit
-type parameters. This may be too restrictive, but it attempts to make compilation simpler. Recall
-that when traditional C scanners read in an identifier, they look it up in the symbol table to
-determine whether or not it is a typedef name, and return a ``type'' or ``identifier'' token
-depending on what they find. A type parameter would add a type name to the current scope. The
-scope manipulations involved in parsing the declaration of a function that takes function pointer
-parameters and returns a function pointer may just be too complicated.
-
-Explicit type parameters don't seem to be very useful, anyway, because their scope would not include
-the return type of the function. Consider the following attempt to define a type-safe memory
-allocation function.
-\begin{lstlisting}
-#include <stdlib.h>
-T * new( type T ) { return ( T * )malloc( sizeof( T) ); };
-@\ldots@
-int * ip = new( int );
-\end{lstlisting}
-This looks sensible, but \CFA's declaration-before-use rules mean that ``\lstinline$T$'' in the
-function body refers to the parameter, but the ``\lstinline$T$'' in the return type refers to the
-meaning of \lstinline$T$ in the scope that contains \lstinline$new$; it could be undefined, or a
-type name, or a function or variable name. Nothing good can result from such a situation.
-\end{rationale}
-
-\examples
-Since type declarations create new types, instances of types are always passed by value.
-\begin{lstlisting}
-type A1 = int[2];
-void f1( A1 a ) { a[0] = 0; };
-typedef int A2[2];
-void f2( A2 a ) { a[0] = 0; };
-A1 v1;
-A2 v2;
-f1( v1 );
-f2( v2 );
-\end{lstlisting}
-\lstinline$V1$ is passed by value, so \lstinline$f1()$'s assignment to \lstinline$a[0]$ does not
-modify v1.  \lstinline$V2$ is converted to a pointer, so \lstinline$f2()$ modifies
-\lstinline$v2[0]$.
-
-A translation unit containing the declarations
-\begin{lstlisting}
-extern type Complex;@\use{Complex}@ // opaque type declaration. 
-extern float abs( Complex );@\use{abs}@
-\end{lstlisting}
-can contain declarations of complex numbers, which can be passed to \lstinline$abs$. Some other
-translation unit must implement \lstinline$Complex$ and \lstinline$abs$. That unit might contain
-the declarations
-\begin{lstlisting}
-type Complex = struct { float re, im; };@\impl{Complex}@
-Complex cplx_i = { 0.0, 1.0 };@\impl{cplx_i}@
-float abs( Complex c ) {@\impl{abs( Complex )}@
-	return sqrt( c.re * c.re + c.im * c.im );
-}
-\end{lstlisting}
-Note that \lstinline$c$ is implicitly converted to a \lstinline$struct$ so that its components can
-be retrieved.
-
-\begin{lstlisting}
-type Time_of_day = int;@\impl{Time_of_day}@ // seconds since midnight. 
-Time_of_day ?+?( Time_of_day t1, int seconds ) {@\impl{?+?}@
-	return (( int)t1 + seconds ) % 86400;
-}
-\end{lstlisting}
-\lstinline$t1$ must be cast to its implementation type to prevent infinite recursion.
-
-\begin{rationale}
-Within the scope of a type definition, an instance of the type can be viewed as having that type or
-as having the implementation type. In the \lstinline$Time_of_day$ example, the difference is
-important. Different languages have treated the distinction between the abstraction and the
-implementation in different ways.
-\begin{itemize}
-\item
-Inside a Clu cluster \cite{clu}, the declaration of an instance states which view applies. Two
-primitives called \lstinline$up$ and \lstinline$down$ can be used to convert between the views.
-\item
-The Simula class \cite{Simula87} is essentially a record type. Since the only operations on a
-record are member selection and assignment, which can not be overloaded, there is never any
-ambiguity as to whether the abstraction or the implementation view is being used. In {\CC}
-\cite{c++}, operations on class instances include assignment and ``\lstinline$&$'', which can be
-overloaded. A ``scope resolution'' operator can be used inside the class to specify whether the
-abstract or implementation version of the operation should be used.
-\item
-An Ada derived type definition \cite{ada} creates a new type from an old type, and also implicitly
-declares derived subprograms that correspond to the existing subprograms that use the old type as a
-parameter type or result type. The derived subprograms are clones of the existing subprograms with
-the old type replaced by the derived type. Literals and aggregates of the old type are also cloned.
-In other words, the abstract view provides exactly the same operations as the implementation view.
-This allows the abstract view to be used in all cases.
-
-The derived subprograms can be replaced by programmer-specified subprograms. This is an exception
-to the normal scope rules, which forbid duplicate definitions of a subprogram in a scope. In this
-case, explicit conversions between the derived type and the old type can be used.
-\end{itemize}
-\CFA's rules are like Clu's, except that implicit conversions and
-conversion costs allow it to do away with most uses of \lstinline$up$ and \lstinline$down$. 
-\end{rationale}
-
-
-\subsubsection{Default functions and objects}
-
-A declaration\index{type declaration} of a type identifier \lstinline$T$ with type-class
-\lstinline$type$ implicitly declares a \define{default assignment} function
-\lstinline$T ?=?( T *, T )$\use{?=?}, with the same \Index{scope} and \Index{linkage} as the
-identifier \lstinline$T$.
-\begin{rationale}
-Assignment is central to C's imperative programming style, and every existing C object type has
-assignment defined for it ( except for array types, which are treated as pointer types for purposes
-of assignment). Without this rule, nearly every inferred type parameter would need an accompanying
-assignment assertion parameter. If a type parameter should not have an assignment operation,
-\lstinline$dtype$ should be used. If a type should not have assignment defined, the user can define
-an assignment function that causes a run-time error, or provide an external declaration but no
-definition and thus cause a link-time error.
-\end{rationale}
-
-A definition\index{type definition} of a type identifier \lstinline$T$ with \Index{implementation
-type} \lstinline$I$ and type-class \lstinline$type$ implicitly defines a default assignment
-function. A definition\index{type definition} of a type identifier \lstinline$T$ with implementation
-type \lstinline$I$ and an assertion list implicitly defines \define{default function}s and
-\define{default object}s as declared by the assertion declarations. The default objects and
-functions have the same \Index{scope} and \Index{linkage} as the identifier \lstinline$T$. Their
-values are determined as follows:
-\begin{itemize}
-\item
-If at the definition of \lstinline$T$ there is visible a declaration of an object with the same name
-as the default object, and if the type of that object with all occurrence of \lstinline$I$ replaced
-by \lstinline$T$ is compatible with the type of the default object, then the default object is
-initialized with that object. Otherwise the scope of the declaration of \lstinline$T$ must contain
-a definition of the default object.
-
-\item 
-If at the definition of \lstinline$T$ there is visible a declaration of a function with the same
-name as the default function, and if the type of that function with all occurrence of \lstinline$I$
-replaced by \lstinline$T$ is compatible with the type of the default function, then the default
-function calls that function after converting its arguments and returns the converted result.
-
-Otherwise, if \lstinline$I$ contains exactly one anonymous member\index{anonymous member} such that
-at the definition of \lstinline$T$ there is visible a declaration of a function with the same name
-as the default function, and the type of that function with all occurrences of the anonymous
-member's type in its parameter list replaced by \lstinline$T$ is compatible with the type of the
-default function, then the default function calls that function after converting its arguments and
-returns the result.
-
-Otherwise the scope of the declaration of \lstinline$T$ must contain a definition of the default
-function.
-\end{itemize}
-\begin{rationale}
-Note that a pointer to a default function will not compare as equal to a pointer to the inherited
-function.
-\end{rationale}
-
-A function or object with the same type and name as a default function or object that is declared
-within the scope of the definition of \lstinline$T$ replaces the default function or object.
-
-\examples
-\begin{lstlisting}
-context s( type T ) {
-	T a, b;
-}
-struct impl { int left, right; } a = { 0, 0 };
-type Pair | s( Pair ) = struct impl;
-Pair b = { 1, 1 };
-\end{lstlisting}
-The definition of \lstinline$Pair$ implicitly defines two objects \lstinline$a$ and \lstinline$b$.
-\lstinline$Pair a$ inherits its value from the \lstinline$struct impl a$. The definition of
-\lstinline$Pair b$ is compulsory because there is no \lstinline$struct impl b$ to construct a value
-from.
-\begin{lstlisting}
-context ss( type T ) {
-	T clone( T );
-	void munge( T * );
-}
-type Whatsit | ss( Whatsit );@\use{Whatsit}@
-type Doodad | ss( Doodad ) = struct doodad {@\use{Doodad}@
-	Whatsit; // anonymous member 
-	int extra;
-};
-Doodad clone( Doodad ) { ... }
-\end{lstlisting}
-The definition of \lstinline$Doodad$ implicitly defines three functions:
-\begin{lstlisting}
-Doodad ?=?( Doodad *, Doodad );
-Doodad clone( Doodad );
-void munge( Doodad * );
-\end{lstlisting}
-The assignment function inherits \lstinline$struct doodad$'s assignment function because the types
-match when \lstinline$struct doodad$ is replaced by \lstinline$Doodad$ throughout.
-\lstinline$munge()$ inherits \lstinline$Whatsit$'s \lstinline$munge()$ because the types match when
-\lstinline$Whatsit$ is replaced by \lstinline$Doodad$ in the parameter list. \lstinline$clone()$
-does \emph{not} inherit \lstinline$Whatsit$'s \lstinline$clone()$: replacement in the parameter
-list yields ``\lstinline$Whatsit clone( Doodad )$'', which is not compatible with
-\lstinline$Doodad$'s \lstinline$clone()$'s type. Hence the definition of
-``\lstinline$Doodad clone( Doodad )$'' is necessary.
-
-Default functions and objects are subject to the normal scope rules.
-\begin{lstlisting}
-type T = @\ldots@;
-T a_T = @\ldots@;		// Default assignment used. 
-T ?=?( T *, T );
-T a_T = @\ldots@;		// Programmer-defined assignment called. 
-\end{lstlisting}
-\begin{rationale}
-A compiler warning would be helpful in this situation.
-\end{rationale}
-
-\begin{rationale}
-The \emph{class} construct of object-oriented programming languages performs three independent
-functions. It \emph{encapsulates} a data structure; it defines a \emph{subtype} relationship, whereby
-instances of one class may be used in contexts that require instances of another; and it allows one
-class to \emph{inherit} the implementation of another.
-
-In \CFA, encapsulation is provided by opaque types and the scope rules, and subtyping is provided
-by specifications and assertions. Inheritance is provided by default functions and objects.
-\end{rationale}
-
-
-\section{Statements and blocks}
-
-\begin{syntax}
-\oldlhs{statement}
-\rhs \nonterm{exception-statement}
-\end{syntax}
-
-Many statements contain expressions, which may have more than one interpretation. The following
-sections describe how the \CFA translator selects an interpretation. In all cases the result of the
-selection shall be a single unambiguous \Index{interpretation}.
-
-
-\subsection{Labeled statements}
-
-\begin{syntax}
-\oldlhs{labeled-statement}
-\rhs \lstinline$case$ \nonterm{case-value-list} : \nonterm{statement}
-\lhs{case-value-list}
-\rhs \nonterm{case-value}
-\rhs \nonterm{case-value-list} \lstinline$,$ \nonterm{case-value}
-\lhs{case-value}
-\rhs \nonterm{constant-expression}
-\rhs \nonterm{subrange}
-\lhs{subrange}
-\rhs \nonterm{constant-expression} \lstinline$~$ \nonterm{constant-expression}
-\end{syntax}
-
-The following have identical meaning:
-\begin{lstlisting}
-case 1:  case 2:  case 3:  case 4:  case 5:
-case 1, 2, 3, 4, 5:
-case 1~5:
-\end{lstlisting}
-Multiple subranges are allowed:
-\begin{lstlisting}
-case 1~4, 9~14, 27~32:
-\end{lstlisting}
-The \lstinline$case$ and \lstinline$default$ clauses are restricted within the \lstinline$switch$ and \lstinline$choose$ statements, precluding Duff's device.
-
-
-\subsection{Expression and null statements}
-
-The expression in an expression statement is treated as being cast to \lstinline$void$.
-
-
-\subsection{Selection statements}
-
-\begin{syntax}
-\oldlhs{selection-statement}
-\rhs \lstinline$choose$ \lstinline$($ \nonterm{expression} \lstinline$)$ \nonterm{statement}
-\end{syntax}
-
-The controlling expression \lstinline$E$ in the \lstinline$switch$ and \lstinline$choose$ statement:
-\begin{lstlisting}
-switch ( E ) ...
-choose ( E ) ...
-\end{lstlisting}
-may have more than one interpretation, but it shall have only one interpretation with an integral type.
-An \Index{integer promotion} is performed on the expression if necessary.
-The constant expressions in \lstinline$case$ statements with the switch are converted to the promoted type.
-
-
-\setcounter{subsubsection}{3}
-\subsubsection{The \lstinline$choose$ statement}
-
-The \lstinline$choose$ statement is the same as the \lstinline$switch$ statement except control transfers to the end of the \lstinline$choose$ statement at a \lstinline$case$ or \lstinline$default$ labeled statement.
-The \lstinline$fallthru$ statement is used to fall through to the next \lstinline$case$ or \lstinline$default$ labeled statement.
-The following have identical meaning:
-\begin{flushleft}
-\begin{tabular}{@{\hspace{2em}}l@{\hspace{2em}}l@{}}
-\begin{lstlisting}
-switch (...) {
-  case 1: ... ; break;
-  case 2: ... ; break;
-  case 3: ... ; // fall through
-  case 4: ... ; // fall through
-  default: ... break;
-}
-\end{lstlisting}
-&
-\begin{lstlisting}
-choose (...) {
-  case 1: ... ; // exit
-  case 2: ... ; // exit
-  case 3: ... ; fallthru;
-  case 4: ... ; fallthru;
-  default: ... ; // exit
-}
-\end{lstlisting}
-\end{tabular}
-\end{flushleft}
-The \lstinline$choose$ statement addresses the problem of accidental fall-through associated with the \lstinline$switch$ statement.
-
-
-\subsection{Iteration statements}
-
-The controlling expression \lstinline$E$ in the loops
-\begin{lstlisting}
-if ( E ) ...
-while ( E ) ...
-do ... while ( E );
-\end{lstlisting}
-is treated as ``\lstinline$( int )((E)!=0)$''.
-
-The statement 
-\begin{lstlisting}
-for ( a; b; c ) @\ldots@
-\end{lstlisting}
-is treated as
-\begin{lstlisting}
-for ( ( void )( a ); ( int )(( b )!=0); ( void )( c ) ) ...
-\end{lstlisting}
-
-
-\subsection{Jump statements}
-
-\begin{syntax}
-\oldlhs{jump-statement}
-\rhs \lstinline$continue$ \nonterm{identifier}\opt
-\rhs \lstinline$break$ \nonterm{identifier}\opt
-\rhs \ldots
-\rhs \lstinline$throw$ \nonterm{assignment-expression}\opt
-\rhs \lstinline$throwResume$ \nonterm{assignment-expression}\opt \nonterm{at-expression}\opt
-\lhs{at-expression} \lstinline$_At$ \nonterm{assignment-expression}
-\end{syntax}
-
-Labeled \lstinline$continue$ and \lstinline$break$ allow useful but restricted control-flow that reduces the need for the \lstinline$goto$ statement for exiting multiple nested control-structures.
-\begin{lstlisting}
-L1: {							// compound
-  L2: switch ( ... ) {			// switch
-	  case ...:
-	  L3: for ( ;; ) {			// outer for
-		L4: for ( ;; ) {		// inner for
-				continue L1;	// error: not enclosing iteration
-				continue L2;	// error: not enclosing iteration
-				continue L3;	// next iteration of outer for
-				continue L4;	// next iteration of inner for
-				break L1;		// exit compound
-				break L2;		// exit switch
-				break L3;		// exit outer for
-				break L4;		// exit inner for
-			} // for
-		} // for
-		break;					// exit switch
-	  default:
-		break L1;				// exit compound
-	} // switch
-	...
-} // compound
-\end{lstlisting}
-
-
-\setcounter{subsubsection}{1}
-\subsubsection{The \lstinline$continue$ statement}
-
-The identifier in a \lstinline$continue$ statement shall name a label located on an enclosing iteration statement.
-
-
-\subsubsection{The \lstinline$break$ statement}
-
-The identifier in a \lstinline$break$ statement shall name a label located on an enclosing compound, selection or iteration statement.
-
-
-\subsubsection{The \lstinline$return$ statement}
-
-An expression in a \lstinline$return$ statement is treated as being cast to the result type of the function.
-
-
-\subsubsection{The \lstinline$throw$ statement}
-
-When an exception is raised, \Index{propagation} directs control from a raise in the source execution to a handler in the faulting execution.
-
-
-\subsubsection{The \lstinline$throwResume$ statement}
-
-
-\subsection{Exception statements}
-
-\begin{syntax}
-\lhs{exception-statement}
-\rhs \lstinline$try$ \nonterm{compound-statement} \nonterm{handler-list}
-\rhs \lstinline$try$ \nonterm{compound-statement} \nonterm{finally-clause}
-\rhs \lstinline$try$ \nonterm{compound-statement} \nonterm{handler-list} \nonterm{finally-clause}
-\lhs{handler-list}
-\rhs \nonterm{handler-clause}
-\rhs \lstinline$catch$ \lstinline$($ \ldots \lstinline$)$ \nonterm{compound-statement}
-\rhs \nonterm{handler-clause} \lstinline$catch$ \lstinline$($ \ldots \lstinline$)$ \nonterm{compound-statement}
-\rhs \lstinline$catchResume$ \lstinline$($ \ldots \lstinline$)$ \nonterm{compound-statement}
-\rhs \nonterm{handler-clause} \lstinline$catchResume$ \lstinline$($ \ldots \lstinline$)$ \nonterm{compound-statement}
-\lhs{handler-clause}
-\rhs \lstinline$catch$ \lstinline$($ \nonterm{exception-declaration} \lstinline$)$ \nonterm{compound-statement}
-\rhs \nonterm{handler-clause} \lstinline$catch$ \lstinline$($ \nonterm{exception-declaration} \lstinline$)$ \nonterm{compound-statement}
-\rhs \lstinline$catchResume$ \lstinline$($ \nonterm{exception-declaration} \lstinline$)$ \nonterm{compound-statement}
-\rhs \nonterm{handler-clause} \lstinline$catchResume$ \lstinline$($ \nonterm{exception-declaration} \lstinline$)$ \nonterm{compound-statement}
-\lhs{finally-clause}
-\rhs \lstinline$finally$ \nonterm{compound-statement}
-\lhs{exception-declaration}
-\rhs \nonterm{type-specifier}
-\rhs \nonterm{type-specifier} \nonterm{declarator}
-\rhs \nonterm{type-specifier} \nonterm{abstract-declarator}
-\rhs \nonterm{new-abstract-declarator-tuple} \nonterm{identifier}
-\rhs \nonterm{new-abstract-declarator-tuple}
-\lhs{asynchronous-statement}
-\rhs \lstinline$enable$ \nonterm{identifier-list} \nonterm{compound-statement}
-\rhs \lstinline$disable$ \nonterm{identifier-list} \nonterm{compound-statement}
-\end{syntax}
-
-\Index{Exception statement}s allow a dynamic call to a handler for \Index{recovery} (\Index{termination}) or \Index{correction} (\Index{resumption}) of an \Index{abnormal event}.
-
-
-\subsubsection{The \lstinline$try$ statement}
-
-The \lstinline$try$ statement is a block with associated handlers, called a \Index{guarded block};
-all other blocks are \Index{unguarded block}s.
-A \lstinline$goto$, \lstinline$break$, \lstinline$return$, or \lstinline$continue$ statement can be used to transfer control out of a try block or handler, but not into one.
-
-
-\subsubsection{The \lstinline$enable$/\lstinline$disable$ statements}
-
-The \lstinline$enable$/\lstinline$disable$ statements toggle delivery of \Index{asynchronous exception}s.
-
-
-\setcounter{section}{9}
-\section{Preprocessing directives}
-
-
-\setcounter{subsection}{7}
-\subsection{Predefined macro names}
-
-The implementation shall define the macro names \lstinline$__LINE__$, \lstinline$__FILE__$,
-\lstinline$__DATE__$, and \lstinline$__TIME__$, as in the {\c11} standard. It shall not define the
-macro name \lstinline$__STDC__$.
-
-In addition, the implementation shall define the macro name \lstinline$__CFORALL__$ to be the
-decimal constant 1.
-
-
-\appendix
-
-
-\chapter{Examples}
-
-
-\section{C types}
-This section gives example specifications for some groups of types that are important in the C
-language, in terms of the predefined operations that can be applied to those types.
-
-
-\subsection{Scalar, arithmetic, and integral types}
-
-The pointer, integral, and floating-point types are all \define{scalar types}. All of these types
-can be logically negated and compared. The assertion ``\lstinline$scalar( Complex )$'' should be read
-as ``type \lstinline$Complex$ is scalar''.
-\begin{lstlisting}
-context scalar( type T ) {@\impl{scalar}@
-	int !?( T );
-	int ?<?( T, T ), ?<=?( T, T ), ?==?( T, T ), ?>=?( T, T ), ?>?( T, T ), ?!=?( T, T );
-};
-\end{lstlisting}
-
-The integral and floating-point types are \define{arithmetic types}, which support the basic
-arithmetic operators. The use of an assertion in the \nonterm{spec-parameter-list} declares that,
-in order to be arithmetic, a type must also be scalar ( and hence that scalar operations are
-available ). This is equivalent to inheritance of specifications.
-\begin{lstlisting}
-context arithmetic( type T | scalar( T ) ) {@\impl{arithmetic}@@\use{scalar}@
-	T +?( T ), -?( T );
-	T ?*?( T, T ), ?/?( T, T ), ?+?( T, T ), ?-?( T, T );
-};
-\end{lstlisting}
-
-The various flavors of \lstinline$char$ and \lstinline$int$ and the enumerated types make up the
-\define{integral types}.
-\begin{lstlisting}
-context integral( type T | arithmetic( T ) ) {@\impl{integral}@@\use{arithmetic}@
-	T ~?( T );
-	T ?&?( T, T ), ?|?( T, T ), ?^?( T, T );
-	T ?%?( T, T );
-	T ?<<?( T, T ), ?>>?( T, T );
-};
-\end{lstlisting}
-
-
-\subsection{Modifiable types}
-\index{modifiable lvalue}
-
-The only operation that can be applied to all modifiable lvalues is simple assignment.
-\begin{lstlisting}
-context m_lvalue( type T ) {@\impl{m_lvalue}@
-	T ?=?( T *, T );
-};
-\end{lstlisting}
-
-Modifiable scalar lvalues are scalars and are modifiable lvalues, and assertions in the
-\nonterm{spec-parameter-list} reflect those relationships. This is equivalent to multiple
-inheritance of specifications. Scalars can also be incremented and decremented.
-\begin{lstlisting}
-context m_l_scalar( type T | scalar( T ) | m_lvalue( T ) ) {@\impl{m_l_scalar}@
-	T ?++( T * ), ?--( T * );@\use{scalar}@@\use{m_lvalue}@
-	T ++?( T * ), --?( T * );
-};
-\end{lstlisting}
-
-Modifiable arithmetic lvalues are both modifiable scalar lvalues and arithmetic. Note that this
-results in the ``inheritance'' of \lstinline$scalar$ along both paths.
-\begin{lstlisting}
-context m_l_arithmetic( type T | m_l_scalar( T ) | arithmetic( T ) ) {@\impl{m_l_arithmetic}@
-	T ?/=?( T *, T ), ?*=?( T *, T );@\use{m_l_scalar}@@\use{arithmetic}@
-	T ?+=?( T *, T ), ?-=?( T *, T );
-};
-
-context m_l_integral( type T | m_l_arithmetic( T ) | integral( T ) ) {@\impl{m_l_integral}@
-	T ?&=?( T *, T ), ?|=?( T *, T ), ?^=?( T *, T );@\use{m_l_arithmetic}@
-	T ?%=?( T *, T ), ?<<=?( T *, T ), ?>>=?( T *, T );@\use{integral}@
-};
-\end{lstlisting}
-
-
-\subsection{Pointer and array types}
-
-Array types can barely be said to exist in {\c11}, since in most cases an array name is treated as a
-constant pointer to the first element of the array, and the subscript expression
-``\lstinline$a[i]$'' is equivalent to the dereferencing expression ``\lstinline$(*( a+( i )))$''.
-Technically, pointer arithmetic and pointer comparisons other than ``\lstinline$==$'' and
-``\lstinline$!=$'' are only defined for pointers to array elements, but the type system does not
-enforce those restrictions. Consequently, there is no need for a separate ``array type''
-specification.
-
-Pointer types are scalar types. Like other scalar types, they have ``\lstinline$+$'' and
-``\lstinline$-$'' operators, but the types do not match the types of the operations in
-\lstinline$arithmetic$, so these operators cannot be consolidated in \lstinline$scalar$.
-\begin{lstlisting}
-context pointer( type P | scalar( P ) ) {@\impl{pointer}@@\use{scalar}@
-	P ?+?( P, long int ), ?+?( long int, P ), ?-?( P, long int );
-	ptrdiff_t ?-?( P, P );
-};
-
-context m_l_pointer( type P | pointer( P ) | m_l_scalar( P ) ) {@\impl{m_l_pointer}@
-	P ?+=?( P *, long int ), ?-=?( P *, long int );
-	P ?=?( P *, void * );
-	void * ?=?( void **, P );
-};
-\end{lstlisting}
-
-Specifications that define the dereference operator ( or subscript operator ) require two
-parameters, one for the pointer type and one for the pointed-at ( or element ) type. Different
-specifications are needed for each set of \Index{type qualifier}s, because qualifiers are not
-included in types. The assertion ``\lstinline$|ptr_to( Safe_pointer, int )$'' should be read as
-``\lstinline$Safe_pointer$ acts like a pointer to \lstinline$int$''.
-\begin{lstlisting}
-context ptr_to( type P | pointer( P ), type T ) {@\impl{ptr_to}@@\use{pointer}@
-	lvalue T *?( P ); lvalue T ?[?]( P, long int );
-};
-
-context ptr_to_const( type P | pointer( P ), type T ) {@\impl{ptr_to_const}@
-	const lvalue T *?( P ); const lvalue T ?[?]( P, long int );@\use{pointer}@
-};
-
-context ptr_to_volatile( type P | pointer( P ), type T ) }@\impl{ptr_to_volatile}@
-	volatile lvalue T *?( P ); volatile lvalue T ?[?]( P, long int );@\use{pointer}@
-};
-\end{lstlisting}
-\begin{lstlisting}
-context ptr_to_const_volatile( type P | pointer( P ), type T ) }@\impl{ptr_to_const_volatile}@
-	const volatile lvalue T *?( P );@\use{pointer}@
-	const volatile lvalue T ?[?]( P, long int );
-};
-\end{lstlisting}
-
-Assignment to pointers is more complicated than is the case with other types, because the target's
-type can have extra type qualifiers in the pointed-at type: a ``\lstinline$T *$'' can be assigned to
-a ``\lstinline$const T *$'', a ``\lstinline$volatile T *$'', and a ``\lstinline$const volatile T *$''.
-Again, the pointed-at type is passed in, so that assertions can connect these specifications to the
-``\lstinline$ptr_to$'' specifications.
-\begin{lstlisting}
-context m_l_ptr_to( type P | m_l_pointer( P ),@\use{m_l_pointer}@@\impl{m_l_ptr_to}@ type T | ptr_to( P, T )@\use{ptr_to}@ {
-	P ?=?( P *, T * );
-	T * ?=?( T **, P );
-};
-
-context m_l_ptr_to_const( type P | m_l_pointer( P ),@\use{m_l_pointer}@@\impl{m_l_ptr_to_const}@ type T | ptr_to_const( P, T )@\use{ptr_to_const}@) {
-	P ?=?( P *, const T * );
-	const T * ?=?( const T **, P );
-};
-
-context m_l_ptr_to_volatile( type P | m_l_pointer( P ),@\use{m_l_pointer}@@\impl{m_l_ptr_to_volatile}@ type T | ptr_to_volatile( P, T )) {@\use{ptr_to_volatile}@
-	P ?=?( P *, volatile T * );
-	volatile T * ?=?( volatile T **, P );
-};
-
-context m_l_ptr_to_const_volatile( type P | ptr_to_const_volatile( P ),@\use{ptr_to_const_volatile}@@\impl{m_l_ptr_to_const_volatile}@
-		type T | m_l_ptr_to_volatile( P, T ) | m_l_ptr_to_const( P )) {@\use{m_l_ptr_to_const}@@\use{m_l_ptr_to_volatile}@
-	P ?=?( P *, const volatile T * );
-	const volatile T * ?=?( const volatile T **, P );
-};
-\end{lstlisting}
-
-Note the regular manner in which type qualifiers appear in those specifications. An alternative
-specification can make use of the fact that qualification of the pointed-at type is part of a
-pointer type to capture that regularity.
-\begin{lstlisting}
-context m_l_ptr_like( type MyP | m_l_pointer( MyP ),@\use{m_l_pointer}@@\impl{m_l_ptr_like}@ type CP | m_l_pointer( CP ) ) {
-	MyP ?=?( MyP *, CP );
-	CP ?=?( CP *, MyP );
-};
-\end{lstlisting}
-The assertion ``\lstinline$| m_l_ptr_like( Safe_ptr, const int * )$'' should be read as
-``\lstinline$Safe_ptr$ is a pointer type like \lstinline$const int *$''. This specification has two
-defects, compared to the original four: there is no automatic assertion that dereferencing a
-\lstinline$MyP$ produces an lvalue of the type that \lstinline$CP$ points at, and the
-``\lstinline$|m_l_pointer( CP )$'' assertion provides only a weak assurance that the argument passed
-to \lstinline$CP$ really is a pointer type.
-
-
-\section{Relationships between operations}
-
-Different operators often have related meanings; for instance, in C, ``\lstinline$+$'',
-``\lstinline$+=$'', and the two versions of ``\lstinline$++$'' perform variations of addition.
-Languages like {\CC} and Ada allow programmers to define operators for new types, but do not
-require that these relationships be preserved, or even that all of the operators be implemented.
-Completeness and consistency is left to the good taste and discretion of the programmer. It is
-possible to encourage these attributes by providing generic operator functions, or member functions
-of abstract classes, that are defined in terms of other, related operators.
-
-In \CFA, polymorphic functions provide the equivalent of these generic operators, and
-specifications explicitly define the minimal implementation that a programmer should provide. This
-section shows a few examples.
-
-
-\subsection{Relational and equality operators}
-
-The different comparison operators have obvious relationships, but there is no obvious subset of the
-operations to use in the implementation of the others. However, it is usually convenient to
-implement a single comparison function that returns a negative integer, 0, or a positive integer if
-its first argument is respectively less than, equal to, or greater than its second argument; the
-library function \lstinline$strcmp$ is an example.
-
-C and \CFA have an extra, non-obvious comparison operator: ``\lstinline$!$'', logical negation,
-returns 1 if its operand compares equal to 0, and 0 otherwise.
-\begin{lstlisting}
-context comparable( type T ) {
-	const T 0;
-	int compare( T, T );
-}
-
-forall( type T | comparable( T ) ) int ?<?( T l, T r ) {
-	return compare( l, r ) < 0;
-}
-// ... similarly for <=, ==, >=, >, and !=. 
-
-forall( type T | comparable( T ) ) int !?( T operand ) {
-	return !compare( operand, 0 );
-}
-\end{lstlisting}
-
-
-\subsection{Arithmetic and integer operations}
-
-A complete arithmetic type would provide the arithmetic operators and the corresponding assignment
-operators. Of these, the assignment operators are more likely to be implemented directly, because
-it is usually more efficient to alter the contents of an existing object than to create and return a
-new one. Similarly, a complete integral type would provide integral operations based on integral
-assignment operations.
-\begin{lstlisting}
-context arith_base( type T ) {
-	const T 1;
-	T ?+=?( T *, T ), ?-=?( T *, T ), ?*=?( T *, T ), ?/=?( T *, T );
-}
-
-forall( type T | arith_base( T ) ) T ?+?( T l, T r ) {
-	return l += r;
-}
-
-forall( type T | arith_base( T ) ) T ?++( T * operand ) {
-	T temporary = *operand;
-	*operand += 1;
-	return temporary;
-}
-
-forall( type T | arith_base( T ) ) T ++?( T * operand ) {
-	return *operand += 1;
-}
-// ... similarly for -, --, *, and /. 
-
-context int_base( type T ) {
-	T ?&=?( T *, T ), ?|=?( T *, T ), ?^=?( T *, T );
-	T ?%=?( T *, T ), ?<<=?( T *, T ), ?>>=?( T *, T );
-}
-
-forall( type T | int_base( T ) ) T ?&?( T l, T r ) {
-	return l &= r;
-}
-// ... similarly for |, ^, %, <<, and >>.
-\end{lstlisting}
-
-Note that, although an arithmetic type would certainly provide comparison functions, and an integral
-type would provide arithmetic operations, there does not have to be any relationship among
-\lstinline$int_base$, \lstinline$arith_base$ and \lstinline$comparable$. Note also that these
-declarations provide guidance and assistance, but they do not define an absolutely minimal set of
-requirements. A truly minimal implementation of an arithmetic type might only provide
-\lstinline$0$, \lstinline$1$, and \lstinline$?-=?$, which would be used by polymorphic
-\lstinline$?+=?$, \lstinline$?*=?$, and \lstinline$?/=?$ functions.
-
-Note also that \lstinline$short$ is an integer type in C11 terms, but has no operations!
-
-
-\chapter{TODO}
-Review index entries.
-
-Restrict allowed to qualify anything, or type/dtype parameters, but only affects pointers. This gets
-into \lstinline$noalias$ territory. Qualifying anything (``\lstinline$short restrict rs$'') means
-pointer parameters of \lstinline$?++$, etc, would need restrict qualifiers.
-
-Enumerated types. Constants are not ints. Overloading. Definition should be ``representable as an
-integer type'', not ``as an int''. C11 usual conversions freely convert to and from ordinary
-integer types via assignment, which works between any integer types. Does enum Color ?*?( enum
-Color, enum Color ) really make sense? ?++ does, but it adds (int)1.
-
-Operators on {,signed,unsigned} char and other small types. ?<? harmless; ?*? questionable for
-chars. Generic selections make these choices visible. Safe conversion operators? Predefined
-``promotion'' function?
-
-\lstinline$register$ assignment might be handled as assignment to a temporary with copying back and
-forth, but copying must not be done by assignment.
-
-Don't use ptrdiff\_t by name in the predefineds.
-
-Polymorphic objects. Polymorphic typedefs and type declarations.
-
-
-\bibliographystyle{plain}
-\bibliography{refrat}
-
-
-\addcontentsline{toc}{chapter}{\indexname} % add index name to table of contents
-\begin{theindex}
-Italic page numbers give the location of the main entry for the referenced term. Plain page numbers
-denote uses of the indexed term. Entries for grammar non-terminals are italicized. A typewriter
-font is used for grammar terminals and program identifiers.
-\indexspace
-\input{refrat.ind}
-\end{theindex}
-
-\end{document}
-
-% Local Variables: %
-% tab-width: 4 %
-% fill-column: 100 %
-% compile-command: "make" %
-% End: %
