Changeset 0720e049 for doc/user/user.tex
- Timestamp:
- Aug 11, 2017, 10:33:37 AM (8 years ago)
- Branches:
- ADT, aaron-thesis, arm-eh, ast-experimental, cleanup-dtors, deferred_resn, demangler, enum, forall-pointer-decay, jacob/cs343-translation, jenkins-sandbox, master, new-ast, new-ast-unique-expr, new-env, no_list, persistent-indexer, pthread-emulation, qualifiedEnum, resolv-new, with_gc
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- 54cd58b0
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- 3d4b23fa (diff), 59a75cb (diff)
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doc/user/user.tex
r3d4b23fa r0720e049 11 11 %% Created On : Wed Apr 6 14:53:29 2016 12 12 %% Last Modified By : Peter A. Buhr 13 %% Last Modified On : Thu Jul 13 11:44:57201714 %% Update Count : 269013 %% Last Modified On : Sun Aug 6 10:24:21 2017 14 %% Update Count : 3036 15 15 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 16 16 … … 37 37 \usepackage{mathptmx} % better math font with "times" 38 38 \usepackage[usenames]{color} 39 \usepackage[pagewise]{lineno}40 \renewcommand{\linenumberfont}{\scriptsize\sffamily}41 39 \input{common} % common CFA document macros 42 40 \usepackage[dvips,plainpages=false,pdfpagelabels,pdfpagemode=UseNone,colorlinks=true,pagebackref=true,linkcolor=blue,citecolor=blue,urlcolor=blue,pagebackref=true,breaklinks=true]{hyperref} … … 44 42 \renewcommand{\UrlFont}{\small\sf} 45 43 44 \usepackage[pagewise]{lineno} 45 \renewcommand{\linenumberfont}{\scriptsize\sffamily} 46 \usepackage[firstpage]{draftwatermark} 47 \SetWatermarkLightness{0.9} 48 46 49 % Default underscore is too low and wide. Cannot use lstlisting "literate" as replacing underscore 47 50 % removes it as a variable-name character so keywords in variables are highlighted. MUST APPEAR 48 51 % AFTER HYPERREF. 49 \renewcommand{\_}{\leavevmode\makebox[1.2ex][c]{\rule{1ex}{0.075ex}}}50 52 \renewcommand{\textunderscore}{\leavevmode\makebox[1.2ex][c]{\rule{1ex}{0.075ex}}} 51 53 … … 56 58 57 59 \CFAStyle % use default CFA format-style 58 59 \lstnewenvironment{C++}[1][] 60 \lstnewenvironment{C++}[1][] % use C++ style 60 61 {\lstset{language=C++,moredelim=**[is][\protect\color{red}]{®}{®}#1}} 61 62 {} … … 78 79 \newcommand{\B}[1]{{\Textbf[blue]{#1}}} 79 80 \newcommand{\G}[1]{{\Textbf[OliveGreen]{#1}}} 81 \newcommand{\KWC}{K-W C\xspace} 80 82 81 83 \newsavebox{\LstBox} … … 105 107 106 108 \date{ 107 DRAFT \\\today109 \today 108 110 }% date 109 111 … … 197 199 This document is a programmer reference-manual for the \CFA programming language. 198 200 The manual covers the core features of the language and runtime-system, with simple examples illustrating syntax and semantics of each feature. 199 The manual does not teach programming, i.e.,how to combine the new constructs to build complex programs.201 The manual does not teach programming, \ie how to combine the new constructs to build complex programs. 200 202 A reader should already have an intermediate knowledge of control flow, data structures, and concurrency issues to understand the ideas presented, as well as some experience programming in C/\CC. 201 203 Implementers should refer to the \CFA Programming Language Specification for details about the language syntax and semantics. … … 247 249 \section{History} 248 250 249 The \CFA project started with \Index*{ K-W C}~\cite{Buhr94a,Till89}, which extended C with new declaration syntax, multiple return values from routines, and advanced assignment capabilities using the notion of tuples.251 The \CFA project started with \Index*{Dave Till}\index{Till, Dave}'s \Index*{K-W C}~\cite{Buhr94a,Till89}, which extended C with new declaration syntax, multiple return values from routines, and advanced assignment capabilities using the notion of tuples. 250 252 (See~\cite{Werther96} for similar work in \Index*[C++]{\CC{}}.) 251 The first \CFA implementation of these extensions was by Esteves~\cite{Esteves04}.252 253 The signature feature of \CFA is \ Index{overload}able\Index{parametric-polymorphic} functions~\cite{forceone:impl,Cormack90,Duggan96} with functions generalized using a ©forall© clause (giving the language its name):253 The first \CFA implementation of these extensions was by \Index*{Rodolfo Esteves}\index{Esteves, Rodolfo}~\cite{Esteves04}. 254 255 The signature feature of \CFA is \emph{\Index{overload}able} \Index{parametric-polymorphic} functions~\cite{forceone:impl,Cormack90,Duggan96} with functions generalized using a ©forall© clause (giving the language its name): 254 256 \begin{lstlisting} 255 257 ®forall( otype T )® T identity( T val ) { return val; } … … 257 259 \end{lstlisting} 258 260 % extending the C type system with parametric polymorphism and overloading, as opposed to the \Index*[C++]{\CC{}} approach of object-oriented extensions. 259 \CFA{}\hspace{1pt}'s polymorphism was originally formalized by Ditchfiled~\cite{Ditchfield92}, and first implemented by Bilson~\cite{Bilson03}.261 \CFA{}\hspace{1pt}'s polymorphism was originally formalized by \Index*{Glen Ditchfield}\index{Ditchfield, Glen}~\cite{Ditchfield92}, and first implemented by \Index*{Richard Bilson}\index{Bilson, Richard}~\cite{Bilson03}. 260 262 However, at that time, there was little interesting in extending C, so work did not continue. 261 263 As the saying goes, ``\Index*{What goes around, comes around.}'', and there is now renewed interest in the C programming language because of legacy code-bases, so the \CFA project has been restarted. … … 270 272 Language developers often state that adequate \Index{library support} takes more work than designing and implementing the language itself. 271 273 Fortunately, \CFA, like \Index*[C++]{\CC{}}, starts with immediate access to all exiting C libraries, and in many cases, can easily wrap library routines with simpler and safer interfaces, at very low cost. 272 Hence, \CFA begins by leveraging the large repository of C libraries at little cost.274 Hence, \CFA begins by leveraging the large repository of C libraries, and than allows programmers to incrementally augment their C programs with modern \Index{backward-compatible} features. 273 275 274 276 \begin{comment} … … 318 320 \begin{cfa} 319 321 char abs( char ); 320 ®extern "C" {® 321 int abs( int ); §\C{// use default C routine for int}§ 322 ®}® // extern "C" 322 ®extern "C" {® int abs( int ); ®}® §\C{// use default C routine for int}§ 323 323 long int abs( long int ); 324 324 long long int abs( long long int ); … … 335 335 Hence, there is the same need as in \CC, to know if a name is a C or \CFA name, so it can be correctly formed. 336 336 There is no way around this problem, other than C's approach of creating unique names for each pairing of operation and type. 337 337 338 This example strongly illustrates a core idea in \CFA: \emph{the \Index{power of a name}}. 338 339 The name ``©abs©'' evokes the notion of absolute value, and many mathematical types provide the notion of absolute value. … … 343 344 \section[Compiling a CFA Program]{Compiling a \CFA Program} 344 345 345 The command ©cfa© is used to compile \CFA program(s), and is based on the GNU\Indexc{gcc} command, \eg:346 \begin{cfa} 347 cfa§\indexc{cfa}\index{compilation!cfa@©cfa©}§ [ gcc-options ] C/§\CFA{}§-files [ assembler/loader-files ]346 The command ©cfa© is used to compile a \CFA program and is based on the \Index{GNU} \Indexc{gcc} command, \eg: 347 \begin{cfa} 348 cfa§\indexc{cfa}\index{compilation!cfa@©cfa©}§ [ gcc-options ] [ C/§\CFA{}§ source-files ] [ assembler/loader files ] 348 349 \end{cfa} 349 350 \CFA programs having the following ©gcc© flags turned on: … … 353 354 The 1999 C standard plus GNU extensions. 354 355 \item 355 {\lstset{deletekeywords={inline}} 356 \Indexc{-fgnu89-inline}\index{compilation option!-fgnu89-inline@{©-fgnu89-inline©}} 356 \Indexc[deletekeywords=inline]{-fgnu89-inline}\index{compilation option!-fgnu89-inline@{\lstinline[deletekeywords=inline]$-fgnu89-inline$}} 357 357 Use the traditional GNU semantics for inline routines in C99 mode, which allows inline routines in header files. 358 }%359 358 \end{description} 360 359 The following new \CFA options are available: … … 363 362 \Indexc{-CFA}\index{compilation option!-CFA@©-CFA©} 364 363 Only the C preprocessor and the \CFA translator steps are performed and the transformed program is written to standard output, which makes it possible to examine the code generated by the \CFA translator. 365 The generated code start ed with the standard \CFA prelude.364 The generated code starts with the standard \CFA \Index{prelude}. 366 365 367 366 \item … … 375 374 \Indexc{-nodebug}\index{compilation option!-nodebug@©-nodebug©} 376 375 The program is linked with the non-debugging version of the runtime system, so the execution of the program is faster. 377 \Emph{However, no runtime checks or ©assert©s are performed so errors usually result in abnormal program termination.}376 \Emph{However, no runtime checks or ©assert©s are performed so errors usually result in abnormal program behaviour or termination.} 378 377 379 378 \item … … 395 394 \textbf{This option is the default.} 396 395 396 \begin{comment} 397 397 \item 398 398 \Indexc{-no-include-stdhdr}\index{compilation option!-no-include-stdhdr@©-no-include-stdhdr©} 399 399 Do not supply ©extern "C"© wrappers for \Celeven standard include files (see~\VRef{s:StandardHeaders}). 400 400 \textbf{This option is \emph{not} the default.} 401 \end{comment} 401 402 \end{description} 402 403 … … 419 420 \item 420 421 \Indexc{__CFA__}\index{preprocessor variables!__CFA__@©__CFA__©}, 421 \Indexc{__CFORALL__}\index{preprocessor variables!__CFORALL__@©__CFORALL__©} and422 \Indexc{__CFORALL__}\index{preprocessor variables!__CFORALL__@©__CFORALL__©}, and 422 423 \Indexc{__cforall}\index{preprocessor variables!__cforall@©__cforall©} 423 424 are always available during preprocessing and have no value. … … 472 473 \label{s:BackquoteIdentifiers} 473 474 474 \CFA introduces innew keywords (see \VRef{s:CFAKeywords}) that can clash with existing C variable-names in legacy code.475 \CFA introduces several new keywords (see \VRef{s:CFAKeywords}) that can clash with existing C variable-names in legacy code. 475 476 Keyword clashes are accommodated by syntactic transformations using the \CFA backquote escape-mechanism: 476 477 \begin{cfa} … … 478 479 double ®`®forall®`® = 3.5; 479 480 \end{cfa} 481 480 482 Existing C programs with keyword clashes can be converted by enclosing keyword identifiers in backquotes, and eventually the identifier name can be changed to a non-keyword name. 481 \VRef[Figure]{f:InterpositionHeaderFile} shows how clashes in C header files (see~\VRef{s:StandardHeaders}) can be handled using preprocessor \newterm{interposition}: ©#include_next© and ©-I filename©: 483 \VRef[Figure]{f:HeaderFileInterposition} shows how clashes in existing C header-files (see~\VRef{s:StandardHeaders}) can be handled using preprocessor \newterm{interposition}: ©#include_next© and ©-I filename©. 484 Several common C header-files with keyword clashes are fixed in the standard \CFA header-library, so there is a seamless programming-experience. 482 485 483 486 \begin{figure} 484 487 \begin{cfa} 485 // include file uses the CFA keyword " otype".486 #if ! defined( otype) §\C{// nesting ?}§487 #define otype ®`®otype®`®§\C{// make keyword an identifier}§488 // include file uses the CFA keyword "with". 489 #if ! defined( with ) §\C{// nesting ?}§ 490 #define with ®`®with®`® §\C{// make keyword an identifier}§ 488 491 #define __CFA_BFD_H__ 489 #endif // ! otype490 491 #®include_next® <bfd.h>§\C{// must have internal check for multiple expansion}§492 493 #if defined( otype) && defined( __CFA_BFD_H__ ) §\C{// reset only if set}§494 #undef otype492 #endif 493 494 ®#include_next <bfdlink.h> §\C{// must have internal check for multiple expansion}§ 495 ® 496 #if defined( with ) && defined( __CFA_BFD_H__ ) §\C{// reset only if set}§ 497 #undef with 495 498 #undef __CFA_BFD_H__ 496 #endif // otype && __CFA_BFD_H__497 \end{cfa} 498 \caption{ Interposition of Header File}499 \label{f: InterpositionHeaderFile}499 #endif 500 \end{cfa} 501 \caption{Header-File Interposition} 502 \label{f:HeaderFileInterposition} 500 503 \end{figure} 501 504 … … 505 508 While C provides ©continue© and ©break© statements for altering control flow, both are restricted to one level of nesting for a particular control structure. 506 509 Unfortunately, this restriction forces programmers to use \Indexc{goto} to achieve the equivalent control-flow for more than one level of nesting. 507 To prevent having to switch to the ©goto©, \CFA extends the \Indexc{continue}\index{continue@\lstinline $continue$!labelled}\index{labelled!continue@©continue©} and \Indexc{break}\index{break@\lstinline $break$!labelled}\index{labelled!break@©break©} with a target label to support static multi-level exit\index{multi-level exit}\index{static multi-level exit}~\cite{Buhr85} .510 To prevent having to switch to the ©goto©, \CFA extends the \Indexc{continue}\index{continue@\lstinline $continue$!labelled}\index{labelled!continue@©continue©} and \Indexc{break}\index{break@\lstinline $break$!labelled}\index{labelled!break@©break©} with a target label to support static multi-level exit\index{multi-level exit}\index{static multi-level exit}~\cite{Buhr85}, as in Java. 508 511 For both ©continue© and ©break©, the target label must be directly associated with a ©for©, ©while© or ©do© statement; 509 512 for ©break©, the target label can also be associated with a ©switch©, ©if© or compound (©{}©) statement. 510 \VRef[Figure]{f:MultiLevelResumeTermination} shows the labelled ©continue© and ©break©, specifying which control structure is the target for exit, and the corresponding C program using only ©goto©. 511 The innermost loop has 7 exit points, which cause resumption or termination of one or more of the 7 \Index{nested control-structure}s. 512 Java supports both labelled ©continue© and ©break© statements. 513 \VRef[Figure]{f:MultiLevelExit} shows ©continue© and ©break© indicating the specific control structure, and the corresponding C program using only ©goto© and labels. 514 The innermost loop has 7 exit points, which cause continuation or termination of one or more of the 7 \Index{nested control-structure}s. 513 515 514 516 \begin{figure} 515 \begin{tabular}{@{\hspace{\parindentlnth}}l@{\hspace{ 1.5em}}l@{}}516 \multicolumn{1}{ c@{\hspace{1.5em}}}{\textbf{\CFA}} & \multicolumn{1}{c}{\textbf{C}} \\517 \begin{tabular}{@{\hspace{\parindentlnth}}l@{\hspace{\parindentlnth}}l@{\hspace{\parindentlnth}}l@{}} 518 \multicolumn{1}{@{\hspace{\parindentlnth}}c@{\hspace{\parindentlnth}}}{\textbf{\CFA}} & \multicolumn{1}{@{\hspace{\parindentlnth}}c}{\textbf{C}} \\ 517 519 \begin{cfa} 518 520 ®LC:® { … … 523 525 ®LF:® for ( ... ) { 524 526 ®LW:® while ( ... ) { 525 ... break ®LC®; ... // terminate compound526 ... break ®LS®; ... // terminate switch527 ... break ®LIF®; ... // terminate if528 ... continue ®LF;® ... // resume loop529 ... break ®LF®; ... // terminate loop530 ... continue ®LW®; ... // resume loop531 ... break ®LW®; ... // terminate loop527 ... break ®LC®; ... 528 ... break ®LS®; ... 529 ... break ®LIF®; ... 530 ... continue ®LF;® ... 531 ... break ®LF®; ... 532 ... continue ®LW®; ... 533 ... break ®LW®; ... 532 534 } // while 533 535 } // for 534 536 } else { 535 ... break ®LIF®; ... // terminate if537 ... break ®LIF®; ... 536 538 } // if 537 539 } // switch … … 562 564 } ®LC:® ; 563 565 \end{cfa} 566 & 567 \begin{cfa} 568 569 570 571 572 573 574 575 // terminate compound 576 // terminate switch 577 // terminate if 578 // continue loop 579 // terminate loop 580 // continue loop 581 // terminate loop 582 583 584 585 // terminate if 586 587 588 589 \end{cfa} 564 590 \end{tabular} 565 \caption{Multi-level Resume/Termination}566 \label{f:MultiLevel ResumeTermination}591 \caption{Multi-level Exit} 592 \label{f:MultiLevelExit} 567 593 \end{figure} 568 569 \begin{comment}570 int main() {571 LC: {572 LS: switch ( 1 ) {573 case 3:574 LIF: if ( 1 ) {575 LF: for ( ;; ) {576 LW: while ( 1 ) {577 break LC; // terminate compound578 break LS; // terminate switch579 break LIF; // terminate if580 continue LF; // resume loop581 break LF; // terminate loop582 continue LW; // resume loop583 break LW; // terminate loop584 } // while585 } // for586 } else {587 break LIF; // terminate if588 } // if589 } // switch590 } // compound591 {592 switch ( 1 ) {593 case 3:594 if ( 1 ) {595 for ( ;; ) {596 while ( 1 ) {597 goto LCx;598 goto LSx;599 goto LIF;600 goto LFC;601 goto LFB;602 goto LWC;603 goto LWB;604 LWC: ; } LWB: ;605 LFC: ; } LFB: ;606 } else {607 goto LIF;608 } L3: ;609 } LSx: ;610 } LCx: ;611 }612 613 // Local Variables: //614 // tab-width: 4 //615 // End: //616 \end{comment}617 618 594 619 595 Both labelled ©continue© and ©break© are a ©goto©\index{goto@\lstinline $goto$!restricted} restricted in the following ways: … … 624 600 \item 625 601 They cannot branch into a control structure. 626 This restriction prevents missing initializationat the start of a control structure resulting in undefined behaviour.602 This restriction prevents missing declarations and/or initializations at the start of a control structure resulting in undefined behaviour. 627 603 \end{itemize} 628 604 The advantage of the labelled ©continue©/©break© is allowing static multi-level exits without having to use the ©goto© statement, and tying control flow to the target control structure rather than an arbitrary point in a program. 629 Furthermore, the location of the label at the \emph{beginning} of the target control structure informs the reader that complex control-flow is occurring in the body of the control structure.605 Furthermore, the location of the label at the \emph{beginning} of the target control structure informs the reader (\Index{eye candy}) that complex control-flow is occurring in the body of the control structure. 630 606 With ©goto©, the label is at the end of the control structure, which fails to convey this important clue early enough to the reader. 631 607 Finally, using an explicit target for the transfer instead of an implicit target allows new constructs to be added or removed without affecting existing constructs. … … 719 695 The problem with this usage is branching into control structures, which is known to cause both comprehension and technical difficulties. 720 696 The comprehension problem occurs from the inability to determine how control reaches a particular point due to the number of branches leading to it. 721 The technical problem results from the inability to ensure allocation and initialization of variables when blocks are not entered at the beginning. 722 Often transferring into a block can bypass variable declaration and/or its initialization, which results in subsequent errors. 723 There are virtually no positive arguments for this kind of control flow, and therefore, there is a strong impetus to eliminate it. 697 The technical problem results from the inability to ensure declaration and initialization of variables when blocks are not entered at the beginning. 698 There are no positive arguments for this kind of control flow, and therefore, there is a strong impetus to eliminate it. 724 699 Nevertheless, C does have an idiom where this capability is used, known as ``\Index*{Duff's device}''~\cite{Duff83}: 725 700 \begin{cfa} … … 921 896 class C { 922 897 int i, j; 923 int mem() { ®// implicit "this" parameter924 i = 1; ®// this->i925 ® j = 3; ®// this->j 926 ®}898 int mem() { §\C{\color{red}// implicit "this" parameter}§ 899 i = 1; §\C{\color{red}// this->i}§ 900 j = 2; §\C{\color{red}// this->j}§ 901 } 927 902 } 928 903 \end{C++} 929 904 Since CFA is non-object-oriented, the equivalent object-oriented program looks like: 930 905 \begin{cfa} 931 struct C { 932 int i, j; 933 }; 934 int mem( C &this ) { // explicit "this" parameter 935 ®this.®i = 1; // "this" is not elided 906 struct S { int i, j; }; 907 int mem( S &®this® ) { §\C{// explicit "this" parameter}§ 908 ®this.®i = 1; §\C{// "this" is not elided}§ 936 909 ®this.®j = 2; 937 910 } 938 911 \end{cfa} 939 912 but it is cumbersome having to write "©this.©" many times in a member. 940 \CFA provides a ©with© clause/statement to elided the "©this.©". 941 \begin{cfa} 942 int mem( C &this ) ®with this® { 943 i = 1; ®// this.i 944 ® j = 2; ®// this.j 945 ®} 913 914 \CFA provides a ©with© clause/statement (see Pascal~\cite[\S~4.F]{Pascal}) to elided the "©this.©" by opening a scope containing field identifiers, changing the qualified fields into variables and giving an opportunity for optimizing qualified references. 915 \begin{cfa} 916 int mem( S &this ) ®with this® { §\C{// with clause}§ 917 i = 1; §\C{\color{red}// this->i}§ 918 j = 2; §\C{\color{red}// this->j}§ 919 } 946 920 \end{cfa} 947 921 which extends to multiple routine parameters: 948 922 \begin{cfa} 949 struct D { 950 double m, n; 951 }; 952 int mem2( C &this1, D &this2 ) ®with this1, this2® { 923 struct T { double m, n; }; 924 int mem2( S &this1, T &this2 ) ®with this1, this2® { 953 925 i = 1; j = 2; 954 926 m = 1.0; n = 2.0; 955 927 } 956 928 \end{cfa} 957 The ©with© clause/statement comes from Pascal~\cite[\S~4.F]{Pascal}.958 929 959 930 The statement form is used within a block: … … 962 933 struct S1 { ... } s1; 963 934 struct S2 { ... } s2; 964 ®with s1® { 935 ®with s1® { // with statement 965 936 // access fields of s1 without qualification 966 937 ®with s2® { // nesting 967 // access fields of s 2 without qualification938 // access fields of s1 and s2 without qualification 968 939 } 969 940 } … … 974 945 \end{cfa} 975 946 976 Names clashes when opening multiple structures are ambiguous. 977 \begin{cfa} 978 struct A { int i; int j; } a, c; 979 struct B { int i; int k; } b, c; 947 When opening multiple structures, fields with the same name and type are ambiguous and must be fully qualified. 948 For fields with the same name but different type, context/cast can be used to disambiguate. 949 \begin{cfa} 950 struct S { int i; int j; double m; } a, c; 951 struct T { int i; int k; int m } b, c; 980 952 ®with a, b® { 981 j + k; §\C{// unambiguous}§ 982 i; §\C{// ambiguous}§ 983 a.i + b.i; §\C{// unambiguous}§ 984 } 985 ®with c® { §\C{// ambiguous}§ 986 // ... 987 } 953 j + k; §\C{// unambiguous, unique names define unique types}§ 954 i; §\C{// ambiguous, same name and type}§ 955 a.i + b.i; §\C{// unambiguous, qualification defines unique names}§ 956 m; §\C{// ambiguous, same name and no context to define unique type}§ 957 m = 5.0; §\C{// unambiguous, same name and context defines unique type}§ 958 m = 1; §\C{// unambiguous, same name and context defines unique type}§ 959 } 960 ®with c® { ... } §\C{// ambiguous, same name and no context}§ 961 ®with (S)c® { ... } §\C{// unambiguous, same name and cast defines unique type}§ 988 962 \end{cfa} 989 963 990 964 991 965 \section{Exception Handling} 966 \label{s:ExceptionHandling} 992 967 993 968 Exception handling provides two mechanism: change of control flow from a raise to a handler, and communication from the raise to the handler. 994 \begin{cfa} 995 exception void h( int i ); 996 exception int h( int i, double d ); 997 969 Transfer of control can be local, within a routine, or non-local, among routines. 970 Non-local transfer can cause stack unwinding, \ie non-local routine termination, depending on the kind of raise. 971 \begin{cfa} 972 exception_t E {}; §\C{// exception type}§ 998 973 void f(...) { 999 ... throw h( 3 ); 1000 ... i = resume h( 3, 5.1 ); 1001 } 1002 974 ... throw E{}; ... §\C{// termination}§ 975 ... throwResume E{}; ... §\C{// resumption}§ 976 } 1003 977 try { 1004 978 f(...); 1005 } catch h( int w ) {1006 // re set1007 } resume h( int p, double x ) {1008 return 17; // recover979 } catch( E e : §boolean-predicate§ ) { §\C[8cm]{// termination handler}§ 980 // recover and continue 981 } catchResume( E e : §boolean-predicate§ ) { §\C{// resumption handler}\CRT§ 982 // repair and return 1009 983 } finally { 1010 } 1011 \end{cfa} 1012 So the type raised would be the mangled name of the exception prototype and that name would be matched at the handler clauses by comparing the strings. 1013 The arguments for the call would have to be packed in a message and unpacked at handler clause and then a call made to the handler. 984 // always executed 985 } 986 \end{cfa} 987 The kind of raise and handler match: ©throw© with ©catch© and ©throwResume© with ©catchResume©. 988 Then the exception type must match along with any additonal predicate must be true. 989 The ©catch© and ©catchResume© handlers may appear in any oder. 990 However, the ©finally© clause must appear at the end of the ©try© statement. 1014 991 1015 992 … … 1222 1199 1223 1200 1201 \section{Exponentiation Operator} 1202 1203 C, \CC, and Java (and many other programming languages) have no exponentiation operator\index{exponentiation!operator}\index{operator!exponentiation}, \ie $x^y$, and instead use a routine, like \Indexc{pow}, to perform the exponentiation operation. 1204 \CFA extends the basic operators with the exponentiation operator ©?\?©\index{?\\?@\lstinline$?\?$} and ©?\=?©\index{?\\=?@\lstinline$?\=?$}, as in, ©x \ y© and ©x \= y©, which means $x^y$ and $x \leftarrow x^y$. 1205 The priority of the exponentiation operator is between the cast and multiplicative operators, so that ©w * (int)x \ (int)y * z© is parenthesized as ©((w * (((int)x) \ ((int)y))) * z)©. 1206 1207 As for \Index{division}, there are exponentiation operators for integral and floating-point types, including the builtin \Index{complex} types. 1208 Unsigned integral exponentiation\index{exponentiation!unsigned integral} is performed with repeated multiplication\footnote{The multiplication computation is optimized to $O(\log y)$.} (or shifting if the base is 2). 1209 Signed integral exponentiation\index{exponentiation!signed integral} is performed with repeated multiplication (or shifting if the base is 2), but yields a floating-point result because $x^{-y}=1/x^y$. 1210 Hence, it is important to designate exponent integral-constants as unsigned or signed: ©3 \ 3u© return an integral result, while ©3 \ 3© returns a floating-point result. 1211 Floating-point exponentiation\index{exponentiation!floating point} is performed using \Index{logarithm}s\index{exponentiation!logarithm}, so the base cannot be negative. 1212 \begin{cfa} 1213 sout | 2 ®\® 8u | 4 ®\® 3u | -4 ®\® 3u | 4 ®\® -3 | -4 ®\® -3 | 4.0 ®\® 2.1 | (1.0f+2.0fi) ®\® (3.0f+2.0fi) | endl; 1214 256 64 -64 0.015625 -0.015625 18.3791736799526 0.264715-1.1922i 1215 \end{cfa} 1216 Parenthesis are necessary for the complex constants or the expresion is parsed as ©1.0f+(2.0fi \ 3.0f)+2.0fi©. 1217 The exponentiation operator is available for all the basic types, but for user-defined types, only the integral-computation versions are available. 1218 For returning an integral value, the user type ©T© must define multiplication, ©*©, and one, ©1©; 1219 for returning a floating-point value, an additional divide of type ©T© into a ©double© returning a ©double© (©double ?/?( double, T )©) is necessary for negative exponents. 1220 1221 1224 1222 \section{Pointer / Reference} 1225 1223 … … 1230 1228 An integer constant expression with the value 0, or such an expression cast to type ©void *©, is called a \newterm{null-pointer constant}.\footnote{ 1231 1229 One way to conceptualize the null pointer is that no variable is placed at this address, so the null-pointer address can be used to denote an uninitialized pointer/reference object; 1232 \ie the null pointer is guaranteed to compare unequal to a pointer to any object or routine.} 1230 \ie the null pointer is guaranteed to compare unequal to a pointer to any object or routine. 1231 In general, a value with special meaning among a set of values is called a \emph{\Index{sentinel value}}, \eg ©-1© as a return code value.} 1233 1232 An address is \newterm{sound}, if it points to a valid memory location in scope, \ie within the program's execution-environment and has not been freed. 1234 1233 Dereferencing an \newterm{unsound} address, including the null pointer, is \Index{undefined}, often resulting in a \Index{memory fault}. … … 1265 1264 \hline 1266 1265 \begin{cfa} 1267 lda r1,100 1268 ld r2,(r1) 1269 lda r3,104 1270 st r2,(r3) 1266 lda r1,100 // load address of x 1267 ld r2,(r1) // load value of x 1268 lda r3,104 // load address of y 1269 st r2,(r3) // store x into y 1271 1270 \end{cfa} 1272 1271 & 1273 1272 \begin{cfa} 1274 1273 1275 ld r2,(100) 1276 1277 st r2,(104) 1274 ld r2,(100) // load value of x 1275 1276 st r2,(104) // store x into y 1278 1277 \end{cfa} 1279 1278 \end{tabular} … … 1423 1422 int w, x, y, z, & ar[3] = { x, y, z }; §\C{// initialize array of references}§ 1424 1423 &ar[1] = &w; §\C{// change reference array element}§ 1425 typeof( ar[1] ) p; §\C{// (gcc) is int, i.e.,the type of referenced object}§1426 typeof( &ar[1] ) q; §\C{// (gcc) is int \&, i.e.,the type of reference}§1427 sizeof( ar[1] ) == sizeof( int ); §\C{// is true, i.e.,the size of referenced object}§1428 sizeof( &ar[1] ) == sizeof( int *) §\C{// is true, i.e.,the size of a reference}§1424 typeof( ar[1] ) p; §\C{// (gcc) is int, \ie the type of referenced object}§ 1425 typeof( &ar[1] ) q; §\C{// (gcc) is int \&, \ie the type of reference}§ 1426 sizeof( ar[1] ) == sizeof( int ); §\C{// is true, \ie the size of referenced object}§ 1427 sizeof( &ar[1] ) == sizeof( int *) §\C{// is true, \ie the size of a reference}§ 1429 1428 \end{cfa} 1430 1429 … … 1571 1570 1572 1571 \item 1573 lvalue to reference conversion: \lstinline[deletekeywords= {lvalue}]@lvalue-type cv1 T@converts to ©cv2 T &©, which allows implicitly converting variables to references.1572 lvalue to reference conversion: \lstinline[deletekeywords=lvalue]$lvalue-type cv1 T$ converts to ©cv2 T &©, which allows implicitly converting variables to references. 1574 1573 \begin{cfa} 1575 1574 int x, &r = ®x®, f( int & p ); // lvalue variable (int) convert to reference (int &) … … 1765 1764 1766 1765 In detail, the brackets, ©[]©, enclose the result type, where each return value is named and that name is a local variable of the particular return type.\footnote{ 1767 \Index*{Michael Tiemann} , with help from \Index*{Doug Lea}, provided named return values in g++, circa 1989.}1766 \Index*{Michael Tiemann}\index{Tiemann, Michael}, with help from \Index*{Doug Lea}\index{Lea, Doug}, provided named return values in g++, circa 1989.} 1768 1767 The value of each local return variable is automatically returned at routine termination. 1769 1768 Declaration qualifiers can only appear at the start of a routine definition, \eg: … … 2224 2223 2225 2224 2225 \section{Tuple} 2226 2227 In C and \CFA, lists of elements appear in several contexts, such as the parameter list of a routine call. 2228 \begin{cfa} 2229 f( ®2, x, 3 + i® ); §\C{// element list}§ 2230 \end{cfa} 2231 A list of elements is called a \newterm{tuple}, and is different from a \Index{comma expression}. 2232 2233 2234 \subsection{Multiple-Return-Value Functions} 2235 \label{s:MRV_Functions} 2236 2237 In standard C, functions can return at most one value. 2238 To emulate functions with multiple return values, \emph{\Index{aggregation}} and/or \emph{\Index{aliasing}} is used. 2239 In the former situation, the function designer creates a record type that combines all of the return values into a single type. 2240 For example, consider a function returning the most frequently occurring letter in a string, and its frequency. 2241 This example is complex enough to illustrate that an array is insufficient, since arrays are homogeneous, and demonstrates a potential pitfall that exists with aliasing. 2242 \begin{cfa} 2243 struct mf_ret { 2244 int freq; 2245 char ch; 2246 }; 2247 2248 struct mf_ret most_frequent(const char * str) { 2249 char freqs [26] = { 0 }; 2250 struct mf_ret ret = { 0, 'a' }; 2251 for (int i = 0; str[i] != '\0'; ++i) { 2252 if (isalpha(str[i])) { // only count letters 2253 int ch = tolower(str[i]); // convert to lower case 2254 int idx = ch-'a'; 2255 if (++freqs[idx] > ret.freq) { // update on new max 2256 ret.freq = freqs[idx]; 2257 ret.ch = ch; 2258 } 2259 } 2260 } 2261 return ret; 2262 } 2263 2264 const char * str = "hello world"; 2265 struct mf_ret ret = most_frequent(str); 2266 printf("%s -- %d %c\n", str, ret.freq, ret.ch); 2267 \end{cfa} 2268 Of note, the designer must come up with a name for the return type and for each of its fields. 2269 Unnecessary naming is a common programming language issue, introducing verbosity and a complication of the user's mental model. 2270 That is, adding another named type creates another association in the programmer's mind that needs to be kept track of when reading and writing code. 2271 As such, this technique is effective when used sparingly, but can quickly get out of hand if many functions need to return different combinations of types. 2272 2273 In the latter approach, the designer simulates multiple return values by passing the additional return values as pointer parameters. 2274 The pointer parameters are assigned inside of the routine body to emulate a return. 2275 Using the same example, 2276 \begin{cfa} 2277 int most_frequent(const char * str, char * ret_ch) { 2278 char freqs [26] = { 0 }; 2279 int ret_freq = 0; 2280 for (int i = 0; str[i] != '\0'; ++i) { 2281 if (isalpha(str[i])) { // only count letters 2282 int ch = tolower(str[i]); // convert to lower case 2283 int idx = ch-'a'; 2284 if (++freqs[idx] > ret_freq) { // update on new max 2285 ret_freq = freqs[idx]; 2286 *ret_ch = ch; // assign to out parameter 2287 } 2288 } 2289 } 2290 return ret_freq; // only one value returned directly 2291 } 2292 2293 const char * str = "hello world"; 2294 char ch; // pre-allocate return value 2295 int freq = most_frequent(str, &ch); // pass return value as out parameter 2296 printf("%s -- %d %c\n", str, freq, ch); 2297 \end{cfa} 2298 Notably, using this approach, the caller is directly responsible for allocating storage for the additional temporary return values, which complicates the call site with a sequence of variable declarations leading up to the call. 2299 Also, while a disciplined use of ©const© can give clues about whether a pointer parameter is going to be used as an out parameter, it is not immediately obvious from only the routine signature whether the callee expects such a parameter to be initialized before the call. 2300 Furthermore, while many C routines that accept pointers are designed so that it is safe to pass ©NULL© as a parameter, there are many C routines that are not null-safe. 2301 On a related note, C does not provide a standard mechanism to state that a parameter is going to be used as an additional return value, which makes the job of ensuring that a value is returned more difficult for the compiler. 2302 Interestingly, there is a subtle bug in the previous example, in that ©ret_ch© is never assigned for a string that does not contain any letters, which can lead to undefined behaviour. 2303 In this particular case, it turns out that the frequency return value also doubles as an error code, where a frequency of 0 means the character return value should be ignored. 2304 Still, not every routine with multiple return values should be required to return an error code, and error codes are easily ignored, so this is not a satisfying solution. 2305 As with the previous approach, this technique can simulate multiple return values, but in practice it is verbose and error prone. 2306 2307 In \CFA, functions can be declared to return multiple values with an extension to the function declaration syntax. 2308 Multiple return values are declared as a comma-separated list of types in square brackets in the same location that the return type appears in standard C function declarations. 2309 The ability to return multiple values from a function requires a new syntax for the return statement. 2310 For consistency, the return statement in \CFA accepts a comma-separated list of expressions in square brackets. 2311 The expression resolution phase of the \CFA translator ensures that the correct form is used depending on the values being returned and the return type of the current function. 2312 A multiple-returning function with return type ©T© can return any expression that is implicitly convertible to ©T©. 2313 Using the running example, the ©most_frequent© function can be written using multiple return values as such, 2314 \begin{cfa} 2315 [int, char] most_frequent(const char * str) { 2316 char freqs [26] = { 0 }; 2317 int ret_freq = 0; 2318 char ret_ch = 'a'; // arbitrary default value for consistent results 2319 for (int i = 0; str[i] != '\0'; ++i) { 2320 if (isalpha(str[i])) { // only count letters 2321 int ch = tolower(str[i]); // convert to lower case 2322 int idx = ch-'a'; 2323 if (++freqs[idx] > ret_freq) { // update on new max 2324 ret_freq = freqs[idx]; 2325 ret_ch = ch; 2326 } 2327 } 2328 } 2329 return [ret_freq, ret_ch]; 2330 } 2331 \end{cfa} 2332 This approach provides the benefits of compile-time checking for appropriate return statements as in aggregation, but without the required verbosity of declaring a new named type, which precludes the bug seen with out-parameters. 2333 2334 The addition of multiple-return-value functions necessitates a syntax for accepting multiple values at the call-site. 2335 The simplest mechanism for retaining a return value in C is variable assignment. 2336 By assigning the return value into a variable, its value can be retrieved later at any point in the program. 2337 As such, \CFA allows assigning multiple values from a function into multiple variables, using a square-bracketed list of lvalue expressions on the left side. 2338 \begin{cfa} 2339 const char * str = "hello world"; 2340 int freq; 2341 char ch; 2342 [freq, ch] = most_frequent(str); // assign into multiple variables 2343 printf("%s -- %d %c\n", str, freq, ch); 2344 \end{cfa} 2345 It is also common to use a function's output as the input to another function. 2346 \CFA also allows this case, without any new syntax. 2347 When a function call is passed as an argument to another call, the expression resolver attempts to find the best match of actual arguments to formal parameters given all of the possible expression interpretations in the current scope \cite{Bilson03}. 2348 For example, 2349 \begin{cfa} 2350 void process(int); // (1) 2351 void process(char); // (2) 2352 void process(int, char); // (3) 2353 void process(char, int); // (4) 2354 2355 process(most_frequent("hello world")); // selects (3) 2356 \end{cfa} 2357 In this case, there is only one option for a function named ©most_frequent© that takes a string as input. 2358 This function returns two values, one ©int© and one ©char©. 2359 There are four options for a function named ©process©, but only two that accept two arguments, and of those the best match is (3), which is also an exact match. 2360 This expression first calls ©most_frequent("hello world")©, which produces the values ©3© and ©'l'©, which are fed directly to the first and second parameters of (3), respectively. 2361 2362 \section{Tuple Expressions} 2363 Multiple-return-value functions provide \CFA with a new syntax for expressing a combination of expressions in the return statement and a combination of types in a function signature. 2364 These notions can be generalized to provide \CFA with \emph{tuple expressions} and \emph{tuple types}. 2365 A tuple expression is an expression producing a fixed-size, ordered list of values of heterogeneous types. 2366 The type of a tuple expression is the tuple of the subexpression types, or a \emph{tuple type}. 2367 In \CFA, a tuple expression is denoted by a comma-separated list of expressions enclosed in square brackets. 2368 For example, the expression ©[5, 'x', 10.5]© has type ©[int, char, double]©. 2369 The previous expression has 3 \emph{components}. 2370 Each component in a tuple expression can be any \CFA expression, including another tuple expression. 2371 The order of evaluation of the components in a tuple expression is unspecified, to allow a compiler the greatest flexibility for program optimization. 2372 It is, however, guaranteed that each component of a tuple expression is evaluated for side-effects, even if the result is not used. 2373 Multiple-return-value functions can equivalently be called \emph{tuple-returning functions}. 2374 2375 \subsection{Tuple Variables} 2376 The call-site of the ©most_frequent© routine has a notable blemish, in that it required the preallocation of return variables in a manner similar to the aliasing example, since it is impossible to declare multiple variables of different types in the same declaration in standard C. 2377 In \CFA, it is possible to overcome this restriction by declaring a \emph{tuple variable}. 2378 \begin{cfa}[emph=ret, emphstyle=\color{red}] 2379 const char * str = "hello world"; 2380 [int, char] ret = most_frequent(str); // initialize tuple variable 2381 printf("%s -- %d %c\n", str, ret); 2382 \end{cfa} 2383 It is now possible to accept multiple values into a single piece of storage, in much the same way that it was previously possible to pass multiple values from one function call to another. 2384 These variables can be used in any of the contexts where a tuple expression is allowed, such as in the ©printf© function call. 2385 As in the ©process© example, the components of the tuple value are passed as separate parameters to ©printf©, allowing very simple printing of tuple expressions. 2386 One way to access the individual components is with a simple assignment, as in previous examples. 2387 \begin{cfa} 2388 int freq; 2389 char ch; 2390 [freq, ch] = ret; 2391 \end{cfa} 2392 2393 \begin{sloppypar} 2394 In addition to variables of tuple type, it is also possible to have pointers to tuples, and arrays of tuples. 2395 Tuple types can be composed of any types, except for array types, since array assignment is disallowed, which makes tuple assignment difficult when a tuple contains an array. 2396 \begin{cfa} 2397 [double, int] di; 2398 [double, int] * pdi 2399 [double, int] adi[10]; 2400 \end{cfa} 2401 This examples declares a variable of type ©[double, int]©, a variable of type pointer to ©[double, int]©, and an array of ten ©[double, int]©. 2402 \end{sloppypar} 2403 2404 \subsection{Tuple Indexing} 2405 2406 At times, it is desirable to access a single component of a tuple-valued expression without creating unnecessary temporary variables to assign to. 2407 Given a tuple-valued expression ©e© and a compile-time constant integer $i$ where $0 \leq i < n$, where $n$ is the number of components in ©e©, ©e.i© accesses the $i$\textsuperscript{th} component of ©e©. 2408 For example, 2409 \begin{cfa} 2410 [int, double] x; 2411 [char *, int] f(); 2412 void g(double, int); 2413 [int, double] * p; 2414 2415 int y = x.0; §\C{// access int component of x}§ 2416 y = f().1; §\C{// access int component of f}§ 2417 p->0 = 5; §\C{// access int component of tuple pointed-to by p}§ 2418 g( x.1, x.0 ); §\C{// rearrange x to pass to g}§ 2419 double z = [x, f()].0.1; §\C{// access second component of first component of tuple expression}§ 2420 \end{cfa} 2421 As seen above, tuple-index expressions can occur on any tuple-typed expression, including tuple-returning functions, square-bracketed tuple expressions, and other tuple-index expressions, provided the retrieved component is also a tuple. 2422 This feature was proposed for \KWC but never implemented \cite[p.~45]{Till89}. 2423 2424 \subsection{Flattening and Structuring} 2425 As evident in previous examples, tuples in \CFA do not have a rigid structure. 2426 In function call contexts, tuples support implicit flattening and restructuring conversions. 2427 Tuple flattening recursively expands a tuple into the list of its basic components. 2428 Tuple structuring packages a list of expressions into a value of tuple type. 2429 \begin{cfa} 2430 int f(int, int); 2431 int g([int, int]); 2432 int h(int, [int, int]); 2433 [int, int] x; 2434 int y; 2435 2436 f(x); // flatten 2437 g(y, 10); // structure 2438 h(x, y); // flatten & structure 2439 \end{cfa} 2440 In \CFA, each of these calls is valid. 2441 In the call to ©f©, ©x© is implicitly flattened so that the components of ©x© are passed as the two arguments to ©f©. 2442 For the call to ©g©, the values ©y© and ©10© are structured into a single argument of type ©[int, int]© to match the type of the parameter of ©g©. 2443 Finally, in the call to ©h©, ©x© is flattened to yield an argument list of length 3, of which the first component of ©x© is passed as the first parameter of ©h©, and the second component of ©x© and ©y© are structured into the second argument of type ©[int, int]©. 2444 The flexible structure of tuples permits a simple and expressive function-call syntax to work seamlessly with both single- and multiple-return-value functions, and with any number of arguments of arbitrarily complex structure. 2445 2446 In \KWC \cite{Buhr94a,Till89}, there were 4 tuple coercions: opening, closing, flattening, and structuring. 2447 Opening coerces a tuple value into a tuple of values, while closing converts a tuple of values into a single tuple value. 2448 Flattening coerces a nested tuple into a flat tuple, \ie it takes a tuple with tuple components and expands it into a tuple with only non-tuple components. 2449 Structuring moves in the opposite direction, \ie it takes a flat tuple value and provides structure by introducing nested tuple components. 2450 2451 In \CFA, the design has been simplified to require only the two conversions previously described, which trigger only in function call and return situations. 2452 This simplification is a primary contribution of this thesis to the design of tuples in \CFA. 2453 Specifically, the expression resolution algorithm examines all of the possible alternatives for an expression to determine the best match. 2454 In resolving a function call expression, each combination of function value and list of argument alternatives is examined. 2455 Given a particular argument list and function value, the list of argument alternatives is flattened to produce a list of non-tuple valued expressions. 2456 Then the flattened list of expressions is compared with each value in the function's parameter list. 2457 If the parameter's type is not a tuple type, then the current argument value is unified with the parameter type, and on success the next argument and parameter are examined. 2458 If the parameter's type is a tuple type, then the structuring conversion takes effect, recursively applying the parameter matching algorithm using the tuple's component types as the parameter list types. 2459 Assuming a successful unification, eventually the algorithm gets to the end of the tuple type, which causes all of the matching expressions to be consumed and structured into a tuple expression. 2460 For example, in 2461 \begin{cfa} 2462 int f(int, [double, int]); 2463 f([5, 10.2], 4); 2464 \end{cfa} 2465 There is only a single definition of ©f©, and 3 arguments with only single interpretations. 2466 First, the argument alternative list ©[5, 10.2], 4© is flattened to produce the argument list ©5, 10.2, 4©. 2467 Next, the parameter matching algorithm begins, with $P = $©int© and $A = $©int©, which unifies exactly. 2468 Moving to the next parameter and argument, $P = $©[double, int]© and $A = $©double©. 2469 This time, the parameter is a tuple type, so the algorithm applies recursively with $P' = $©double© and $A = $©double©, which unifies exactly. 2470 Then $P' = $©int© and $A = $©double©, which again unifies exactly. 2471 At this point, the end of $P'$ has been reached, so the arguments ©10.2, 4© are structured into the tuple expression ©[10.2, 4]©. 2472 Finally, the end of the parameter list $P$ has also been reached, so the final expression is ©f(5, [10.2, 4])©. 2473 2474 \section{Tuple Assignment} 2475 \label{s:TupleAssignment} 2476 An assignment where the left side of the assignment operator has a tuple type is called tuple assignment. 2477 There are two kinds of tuple assignment depending on whether the right side of the assignment operator has a tuple type or a non-tuple type, called \emph{Multiple} and \emph{Mass} Assignment, respectively. 2478 \begin{cfa} 2479 int x; 2480 double y; 2481 [int, double] z; 2482 [y, x] = 3.14; // mass assignment 2483 [x, y] = z; // multiple assignment 2484 z = 10; // mass assignment 2485 z = [x, y]; // multiple assignment 2486 \end{cfa} 2487 Let $L_i$ for $i$ in $[0, n)$ represent each component of the flattened left side, $R_i$ represent each component of the flattened right side of a multiple assignment, and $R$ represent the right side of a mass assignment. 2488 2489 For a multiple assignment to be valid, both tuples must have the same number of elements when flattened. 2490 For example, the following is invalid because the number of components on the left does not match the number of components on the right. 2491 \begin{cfa} 2492 [int, int] x, y, z; 2493 [x, y] = z; // multiple assignment, invalid 4 != 2 2494 \end{cfa} 2495 Multiple assignment assigns $R_i$ to $L_i$ for each $i$. 2496 That is, ©?=?(&$L_i$, $R_i$)© must be a well-typed expression. 2497 In the previous example, ©[x, y] = z©, ©z© is flattened into ©z.0, z.1©, and the assignments ©x = z.0© and ©y = z.1© happen. 2498 2499 A mass assignment assigns the value $R$ to each $L_i$. 2500 For a mass assignment to be valid, ©?=?(&$L_i$, $R$)© must be a well-typed expression. 2501 These semantics differ from C cascading assignment (\eg ©a=b=c©) in that conversions are applied to $R$ in each individual assignment, which prevents data loss from the chain of conversions that can happen during a cascading assignment. 2502 For example, ©[y, x] = 3.14© performs the assignments ©y = 3.14© and ©x = 3.14©, which results in the value ©3.14© in ©y© and the value ©3© in ©x©. 2503 On the other hand, the C cascading assignment ©y = x = 3.14© performs the assignments ©x = 3.14© and ©y = x©, which results in the value ©3© in ©x©, and as a result the value ©3© in ©y© as well. 2504 2505 Both kinds of tuple assignment have parallel semantics, such that each value on the left side and right side is evaluated \emph{before} any assignments occur. 2506 As a result, it is possible to swap the values in two variables without explicitly creating any temporary variables or calling a function. 2507 \begin{cfa} 2508 int x = 10, y = 20; 2509 [x, y] = [y, x]; 2510 \end{cfa} 2511 After executing this code, ©x© has the value ©20© and ©y© has the value ©10©. 2512 2513 In \CFA, tuple assignment is an expression where the result type is the type of the left side of the assignment, as in normal assignment. 2514 That is, a tuple assignment produces the value of the left-hand side after assignment. 2515 These semantics allow cascading tuple assignment to work out naturally in any context where a tuple is permitted. 2516 These semantics are a change from the original tuple design in \KWC \cite{Till89}, wherein tuple assignment was a statement that allows cascading assignments as a special case. 2517 Restricting tuple assignment to statements was an attempt to to fix what was seen as a problem with side-effects, wherein assignment can be used in many different locations, such as in function-call argument position. 2518 While permitting assignment as an expression does introduce the potential for subtle complexities, it is impossible to remove assignment expressions from \CFA without affecting backwards compatibility. 2519 Furthermore, there are situations where permitting assignment as an expression improves readability by keeping code succinct and reducing repetition, and complicating the definition of tuple assignment puts a greater cognitive burden on the user. 2520 In another language, tuple assignment as a statement could be reasonable, but it would be inconsistent for tuple assignment to be the only kind of assignment that is not an expression. 2521 In addition, \KWC permits the compiler to optimize tuple assignment as a block copy, since it does not support user-defined assignment operators. 2522 This optimization could be implemented in \CFA, but it requires the compiler to verify that the selected assignment operator is trivial. 2523 2524 The following example shows multiple, mass, and cascading assignment used in one expression 2525 \begin{cfa} 2526 int a, b; 2527 double c, d; 2528 [void] f([int, int]); 2529 f([c, a] = [b, d] = 1.5); // assignments in parameter list 2530 \end{cfa} 2531 The tuple expression begins with a mass assignment of ©1.5© into ©[b, d]©, which assigns ©1.5© into ©b©, which is truncated to ©1©, and ©1.5© into ©d©, producing the tuple ©[1, 1.5]© as a result. 2532 That tuple is used as the right side of the multiple assignment (\ie, ©[c, a] = [1, 1.5]©) that assigns ©1© into ©c© and ©1.5© into ©a©, which is truncated to ©1©, producing the result ©[1, 1]©. 2533 Finally, the tuple ©[1, 1]© is used as an expression in the call to ©f©. 2534 2535 \subsection{Tuple Construction} 2536 Tuple construction and destruction follow the same rules and semantics as tuple assignment, except that in the case where there is no right side, the default constructor or destructor is called on each component of the tuple. 2537 As constructors and destructors did not exist in previous versions of \CFA or in \KWC, this is a primary contribution of this thesis to the design of tuples. 2538 \begin{cfa} 2539 struct S; 2540 void ?{}(S *); // (1) 2541 void ?{}(S *, int); // (2) 2542 void ?{}(S * double); // (3) 2543 void ?{}(S *, S); // (4) 2544 2545 [S, S] x = [3, 6.28]; // uses (2), (3), specialized constructors 2546 [S, S] y; // uses (1), (1), default constructor 2547 [S, S] z = x.0; // uses (4), (4), copy constructor 2548 \end{cfa} 2549 In this example, ©x© is initialized by the multiple constructor calls ©?{}(&x.0, 3)© and ©?{}(&x.1, 6.28)©, while ©y© is initialized by two default constructor calls ©?{}(&y.0)© and ©?{}(&y.1)©. 2550 ©z© is initialized by mass copy constructor calls ©?{}(&z.0, x.0)© and ©?{}(&z.1, x.0)©. 2551 Finally, ©x©, ©y©, and ©z© are destructed, \ie the calls ©^?{}(&x.0)©, ©^?{}(&x.1)©, ©^?{}(&y.0)©, ©^?{}(&y.1)©, ©^?{}(&z.0)©, and ©^?{}(&z.1)©. 2552 2553 It is possible to define constructors and assignment functions for tuple types that provide new semantics, if the existing semantics do not fit the needs of an application. 2554 For example, the function ©void ?{}([T, U] *, S);© can be defined to allow a tuple variable to be constructed from a value of type ©S©. 2555 \begin{cfa} 2556 struct S { int x; double y; }; 2557 void ?{}([int, double] * this, S s) { 2558 this->0 = s.x; 2559 this->1 = s.y; 2560 } 2561 \end{cfa} 2562 Due to the structure of generated constructors, it is possible to pass a tuple to a generated constructor for a type with a member prefix that matches the type of the tuple. 2563 For example, 2564 \begin{cfa} 2565 struct S { int x; double y; int z }; 2566 [int, double] t; 2567 S s = t; 2568 \end{cfa} 2569 The initialization of ©s© with ©t© works by default because ©t© is flattened into its components, which satisfies the generated field constructor ©?{}(S *, int, double)© to initialize the first two values. 2570 2571 \section{Member-Access Tuple Expression} 2572 \label{s:MemberAccessTuple} 2573 It is possible to access multiple fields from a single expression using a \emph{Member-Access Tuple Expression}. 2574 The result is a single tuple-valued expression whose type is the tuple of the types of the members. 2575 For example, 2576 \begin{cfa} 2577 struct S { int x; double y; char * z; } s; 2578 s.[x, y, z]; 2579 \end{cfa} 2580 Here, the type of ©s.[x, y, z]© is ©[int, double, char *]©. 2581 A member tuple expression has the form ©a.[x, y, z];© where ©a© is an expression with type ©T©, where ©T© supports member access expressions, and ©x, y, z© are all members of ©T© with types ©T$_x$©, ©T$_y$©, and ©T$_z$© respectively. 2582 Then the type of ©a.[x, y, z]© is ©[T_x, T_y, T_z]©. 2583 2584 Since tuple index expressions are a form of member-access expression, it is possible to use tuple-index expressions in conjunction with member tuple expressions to manually restructure a tuple (\eg, rearrange components, drop components, duplicate components, etc.). 2585 \begin{cfa} 2586 [int, int, long, double] x; 2587 void f(double, long); 2588 2589 f(x.[0, 3]); // f(x.0, x.3) 2590 x.[0, 1] = x.[1, 0]; // [x.0, x.1] = [x.1, x.0] 2591 [long, int, long] y = x.[2, 0, 2]; 2592 \end{cfa} 2593 2594 It is possible for a member tuple expression to contain other member access expressions. 2595 For example, 2596 \begin{cfa} 2597 struct A { double i; int j; }; 2598 struct B { int * k; short l; }; 2599 struct C { int x; A y; B z; } v; 2600 v.[x, y.[i, j], z.k]; 2601 \end{cfa} 2602 This expression is equivalent to ©[v.x, [v.y.i, v.y.j], v.z.k]©. 2603 That is, the aggregate expression is effectively distributed across the tuple, which allows simple and easy access to multiple components in an aggregate, without repetition. 2604 It is guaranteed that the aggregate expression to the left of the ©.© in a member tuple expression is evaluated exactly once. 2605 As such, it is safe to use member tuple expressions on the result of a side-effecting function. 2606 \begin{cfa} 2607 [int, float, double] f(); 2608 [double, float] x = f().[2, 1]; 2609 \end{cfa} 2610 2611 In \KWC, member tuple expressions are known as \emph{record field tuples} \cite{Till89}. 2612 Since \CFA permits these tuple-access expressions using structures, unions, and tuples, \emph{member tuple expression} or \emph{field tuple expression} is more appropriate. 2613 2614 It is possible to extend member-access expressions further. 2615 Currently, a member-access expression whose member is a name requires that the aggregate is a structure or union, while a constant integer member requires the aggregate to be a tuple. 2616 In the interest of orthogonal design, \CFA could apply some meaning to the remaining combinations as well. 2617 For example, 2618 \begin{cfa} 2619 struct S { int x, y; } s; 2620 [S, S] z; 2621 2622 s.x; // access member 2623 z.0; // access component 2624 2625 s.1; // ??? 2626 z.y; // ??? 2627 \end{cfa} 2628 One possibility is for ©s.1© to select the second member of ©s©. 2629 Under this interpretation, it becomes possible to not only access members of a struct by name, but also by position. 2630 Likewise, it seems natural to open this mechanism to enumerations as well, wherein the left side would be a type, rather than an expression. 2631 One benefit of this interpretation is familiarity, since it is extremely reminiscent of tuple-index expressions. 2632 On the other hand, it could be argued that this interpretation is brittle in that changing the order of members or adding new members to a structure becomes a brittle operation. 2633 This problem is less of a concern with tuples, since modifying a tuple affects only the code that directly uses the tuple, whereas modifying a structure has far reaching consequences for every instance of the structure. 2634 2635 As for ©z.y©, one interpretation is to extend the meaning of member tuple expressions. 2636 That is, currently the tuple must occur as the member, \ie to the right of the dot. 2637 Allowing tuples to the left of the dot could distribute the member across the elements of the tuple, in much the same way that member tuple expressions distribute the aggregate across the member tuple. 2638 In this example, ©z.y© expands to ©[z.0.y, z.1.y]©, allowing what is effectively a very limited compile-time field-sections map operation, where the argument must be a tuple containing only aggregates having a member named ©y©. 2639 It is questionable how useful this would actually be in practice, since structures often do not have names in common with other structures, and further this could cause maintainability issues in that it encourages programmers to adopt very simple naming conventions to maximize the amount of overlap between different types. 2640 Perhaps more useful would be to allow arrays on the left side of the dot, which would likewise allow mapping a field access across the entire array, producing an array of the contained fields. 2641 The immediate problem with this idea is that C arrays do not carry around their size, which would make it impossible to use this extension for anything other than a simple stack allocated array. 2642 2643 Supposing this feature works as described, it would be necessary to specify an ordering for the expansion of member-access expressions versus member-tuple expressions. 2644 \begin{cfa} 2645 struct { int x, y; }; 2646 [S, S] z; 2647 z.[x, y]; // ??? 2648 // => [z.0, z.1].[x, y] 2649 // => [z.0.x, z.0.y, z.1.x, z.1.y] 2650 // or 2651 // => [z.x, z.y] 2652 // => [[z.0, z.1].x, [z.0, z.1].y] 2653 // => [z.0.x, z.1.x, z.0.y, z.1.y] 2654 \end{cfa} 2655 Depending on exactly how the two tuples are combined, different results can be achieved. 2656 As such, a specific ordering would need to be imposed to make this feature useful. 2657 Furthermore, this addition moves a member-tuple expression's meaning from being clear statically to needing resolver support, since the member name needs to be distributed appropriately over each member of the tuple, which could itself be a tuple. 2658 2659 A second possibility is for \CFA to have named tuples, as they exist in Swift and D. 2660 \begin{cfa} 2661 typedef [int x, int y] Point2D; 2662 Point2D p1, p2; 2663 p1.x + p1.y + p2.x + p2.y; 2664 p1.0 + p1.1 + p2.0 + p2.1; // equivalent 2665 \end{cfa} 2666 In this simpler interpretation, a tuple type carries with it a list of possibly empty identifiers. 2667 This approach fits naturally with the named return-value feature, and would likely go a long way towards implementing it. 2668 2669 Ultimately, the first two extensions introduce complexity into the model, with relatively little perceived benefit, and so were dropped from consideration. 2670 Named tuples are a potentially useful addition to the language, provided they can be parsed with a reasonable syntax. 2671 2672 2673 \section{Casting} 2674 In C, the cast operator is used to explicitly convert between types. 2675 In \CFA, the cast operator has a secondary use, which is type ascription, since it forces the expression resolution algorithm to choose the lowest cost conversion to the target type. 2676 That is, a cast can be used to select the type of an expression when it is ambiguous, as in the call to an overloaded function. 2677 \begin{cfa} 2678 int f(); // (1) 2679 double f(); // (2) 2680 2681 f(); // ambiguous - (1),(2) both equally viable 2682 (int)f(); // choose (2) 2683 \end{cfa} 2684 Since casting is a fundamental operation in \CFA, casts need to be given a meaningful interpretation in the context of tuples. 2685 Taking a look at standard C provides some guidance with respect to the way casts should work with tuples. 2686 \begin{cfa}[numbers=left] 2687 int f(); 2688 void g(); 2689 2690 (void)f(); // valid, ignore results 2691 (int)g(); // invalid, void cannot be converted to int 2692 2693 struct A { int x; }; 2694 (struct A)f(); // invalid, int cannot be converted to A 2695 \end{cfa} 2696 In C, line 4 is a valid cast, which calls ©f© and discards its result. 2697 On the other hand, line 5 is invalid, because ©g© does not produce a result, so requesting an ©int© to materialize from nothing is nonsensical. 2698 Finally, line 8 is also invalid, because in C casts only provide conversion between scalar types \cite[p.~91]{C11}. 2699 For consistency, this implies that any case wherein the number of components increases as a result of the cast is invalid, while casts that have the same or fewer number of components may be valid. 2700 2701 Formally, a cast to tuple type is valid when $T_n \leq S_m$, where $T_n$ is the number of components in the target type and $S_m$ is the number of components in the source type, and for each $i$ in $[0, n)$, $S_i$ can be cast to $T_i$. 2702 Excess elements ($S_j$ for all $j$ in $[n, m)$) are evaluated, but their values are discarded so that they are not included in the result expression. 2703 This discarding naturally follows the way that a cast to void works in C. 2704 2705 For example, 2706 \begin{cfa} 2707 [int, int, int] f(); 2708 [int, [int, int], int] g(); 2709 2710 ([int, double])f(); // (1) valid 2711 ([int, int, int])g(); // (2) valid 2712 ([void, [int, int]])g(); // (3) valid 2713 ([int, int, int, int])g(); // (4) invalid 2714 ([int, [int, int, int]])g(); // (5) invalid 2715 \end{cfa} 2716 2717 (1) discards the last element of the return value and converts the second element to type double. 2718 Since ©int© is effectively a 1-element tuple, (2) discards the second component of the second element of the return value of ©g©. 2719 If ©g© is free of side effects, this is equivalent to ©[(int)(g().0), (int)(g().1.0), (int)(g().2)]©. 2720 Since ©void© is effectively a 0-element tuple, (3) discards the first and third return values, which is effectively equivalent to ©[(int)(g().1.0), (int)(g().1.1)]©). 2721 % will this always hold true? probably, as constructors should give all of the conversion power we need. if casts become function calls, what would they look like? would need a way to specify the target type, which seems awkward. Also, C++ basically only has this because classes are closed to extension, while we don't have that problem (can have floating constructors for any type). 2722 Note that a cast is not a function call in \CFA, so flattening and structuring conversions do not occur for cast expressions. 2723 As such, (4) is invalid because the cast target type contains 4 components, while the source type contains only 3. 2724 Similarly, (5) is invalid because the cast ©([int, int, int])(g().1)© is invalid. 2725 That is, it is invalid to cast ©[int, int]© to ©[int, int, int]©. 2726 2727 \section{Polymorphism} 2728 Due to the implicit flattening and structuring conversions involved in argument passing, ©otype© and ©dtype© parameters are restricted to matching only with non-tuple types. 2729 The integration of polymorphism, type assertions, and monomorphic specialization of tuple-assertions are a primary contribution of this thesis to the design of tuples. 2730 \begin{cfa} 2731 forall(otype T, dtype U) 2732 void f(T x, U * y); 2733 2734 f([5, "hello"]); 2735 \end{cfa} 2736 In this example, ©[5, "hello"]© is flattened, so that the argument list appears as ©5, "hello"©. 2737 The argument matching algorithm binds ©T© to ©int© and ©U© to ©const char©, and calls the function as normal. 2738 2739 Tuples can contain otype and dtype components. 2740 For example, a plus operator can be written to add two triples of a type together. 2741 \begin{cfa} 2742 forall(otype T | { T ?+?(T, T); }) 2743 [T, T, T] ?+?([T, T, T] x, [T, T, T] y) { 2744 return [x.0+y.0, x.1+y.1, x.2+y.2]; 2745 } 2746 [int, int, int] x; 2747 int i1, i2, i3; 2748 [i1, i2, i3] = x + ([10, 20, 30]); 2749 \end{cfa} 2750 Note that due to the implicit tuple conversions, this function is not restricted to the addition of two triples. 2751 A call to this plus operator type checks as long as a total of 6 non-tuple arguments are passed after flattening, and all of the arguments have a common type that can bind to ©T©, with a pairwise ©?+?© over ©T©. 2752 For example, these expressions also succeed and produce the same value. 2753 \begin{cfa} 2754 ([x.0, x.1]) + ([x.2, 10, 20, 30]); // x + ([10, 20, 30]) 2755 x.0 + ([x.1, x.2, 10, 20, 30]); // x + ([10, 20, 30]) 2756 \end{cfa} 2757 This presents a potential problem if structure is important, as these three expressions look like they should have different meanings. 2758 Furthermore, these calls can be made ambiguous by introducing seemingly different functions. 2759 \begin{cfa} 2760 forall(otype T | { T ?+?(T, T); }) 2761 [T, T, T] ?+?([T, T] x, [T, T, T, T]); 2762 forall(otype T | { T ?+?(T, T); }) 2763 [T, T, T] ?+?(T x, [T, T, T, T, T]); 2764 \end{cfa} 2765 It is also important to note that these calls could be disambiguated if the function return types were different, as they likely would be for a reasonable implementation of ©?+?©, since the return type is used in overload resolution. 2766 Still, these semantics are a deficiency of the current argument matching algorithm, and depending on the function, differing return values may not always be appropriate. 2767 These issues could be rectified by applying an appropriate conversion cost to the structuring and flattening conversions, which are currently 0-cost conversions in the expression resolver. 2768 Care would be needed in this case to ensure that exact matches do not incur such a cost. 2769 \begin{cfa} 2770 void f([int, int], int, int); 2771 2772 f([0, 0], 0, 0); // no cost 2773 f(0, 0, 0, 0); // cost for structuring 2774 f([0, 0,], [0, 0]); // cost for flattening 2775 f([0, 0, 0], 0); // cost for flattening and structuring 2776 \end{cfa} 2777 2778 Until this point, it has been assumed that assertion arguments must match the parameter type exactly, modulo polymorphic specialization (\ie, no implicit conversions are applied to assertion arguments). 2779 This decision presents a conflict with the flexibility of tuples. 2780 \subsection{Assertion Inference} 2781 \begin{cfa} 2782 int f([int, double], double); 2783 forall(otype T, otype U | { T f(T, U, U); }) 2784 void g(T, U); 2785 g(5, 10.21); 2786 \end{cfa} 2787 If assertion arguments must match exactly, then the call to ©g© cannot be resolved, since the expected type of ©f© is flat, while the only ©f© in scope requires a tuple type. 2788 Since tuples are fluid, this requirement reduces the usability of tuples in polymorphic code. 2789 To ease this pain point, function parameter and return lists are flattened for the purposes of type unification, which allows the previous example to pass expression resolution. 2790 2791 This relaxation is made possible by extending the existing thunk generation scheme, as described by Bilson \cite{Bilson03}. 2792 Now, whenever a candidate's parameter structure does not exactly match the formal parameter's structure, a thunk is generated to specialize calls to the actual function. 2793 \begin{cfa} 2794 int _thunk(int _p0, double _p1, double _p2) { 2795 return f([_p0, _p1], _p2); 2796 } 2797 \end{cfa} 2798 Essentially, this provides flattening and structuring conversions to inferred functions, improving the compatibility of tuples and polymorphism. 2799 2800 2226 2801 \section{Tuples} 2227 2802 … … 2680 3255 \begin{cfa}[belowskip=0pt] 2681 3256 char store[®sepSize®]; §\C{// sepSize is the maximum separator size}§ 2682 strcpy( store, sepGet( sout ) ); 2683 sepSet( sout, "_" ); 3257 strcpy( store, sepGet( sout ) ); §\C{// copy current separator}§ 3258 sepSet( sout, "_" ); §\C{// change separator to underscore}§ 2684 3259 sout | 1 | 2 | 3 | endl; 2685 3260 \end{cfa} … … 2688 3263 \end{cfa} 2689 3264 \begin{cfa}[belowskip=0pt] 2690 sepSet( sout, store ); 3265 sepSet( sout, store ); §\C{// change separator back to original}§ 2691 3266 sout | 1 | 2 | 3 | endl; 2692 3267 \end{cfa} … … 3113 3688 3114 3689 \begin{table}[hbt] 3115 \hfil 3116 \begin{tabular}[t]{ll} 3117 %identifier & operation \\ \hline 3118 ©?[?]© & subscripting \impl{?[?]}\\ 3119 ©?()© & function call \impl{?()}\\ 3120 ©?++© & postfix increment \impl{?++}\\ 3121 ©?--© & postfix decrement \impl{?--}\\ 3122 ©++?© & prefix increment \impl{++?}\\ 3123 ©--?© & prefix decrement \impl{--?}\\ 3124 ©*?© & dereference \impl{*?}\\ 3125 ©+?© & unary plus \impl{+?}\\ 3126 ©-?© & arithmetic negation \impl{-?}\\ 3127 ©~?© & bitwise negation \impl{~?}\\ 3128 ©!?© & logical complement \impl{"!?}\\ 3129 ©?*?© & multiplication \impl{?*?}\\ 3130 ©?/?© & division \impl{?/?}\\ 3131 \end{tabular}\hfil 3132 \begin{tabular}[t]{ll} 3133 %identifier & operation \\ \hline 3134 ©?%?© & remainder \impl{?%?}\\ 3135 ©?+?© & addition \impl{?+?}\\ 3136 ©?-?© & subtraction \impl{?-?}\\ 3137 ©?<<?© & left shift \impl{?<<?}\\ 3138 ©?>>?© & right shift \impl{?>>?}\\ 3139 ©?<?© & less than \impl{?<?}\\ 3140 ©?<=?© & less than or equal \impl{?<=?}\\ 3141 ©?>=?© & greater than or equal \impl{?>=?}\\ 3142 ©?>?© & greater than \impl{?>?}\\ 3143 ©?==?© & equality \impl{?==?}\\ 3144 ©?!=?© & inequality \impl{?"!=?}\\ 3145 ©?&?© & bitwise AND \impl{?&?}\\ 3146 \end{tabular}\hfil 3147 \begin{tabular}[t]{ll} 3148 %identifier & operation \\ \hline 3149 ©?^?© & exclusive OR \impl{?^?}\\ 3150 ©?|?© & inclusive OR \impl{?"|?}\\ 3151 ©?=?© & simple assignment \impl{?=?}\\ 3152 ©?*=?© & multiplication assignment \impl{?*=?}\\ 3153 ©?/=?© & division assignment \impl{?/=?}\\ 3154 ©?%=?© & remainder assignment \impl{?%=?}\\ 3155 ©?+=?© & addition assignment \impl{?+=?}\\ 3156 ©?-=?© & subtraction assignment \impl{?-=?}\\ 3157 ©?<<=?© & left-shift assignment \impl{?<<=?}\\ 3158 ©?>>=?© & right-shift assignment \impl{?>>=?}\\ 3159 ©?&=?© & bitwise AND assignment \impl{?&=?}\\ 3160 ©?^=?© & exclusive OR assignment \impl{?^=?}\\ 3161 ©?|=?© & inclusive OR assignment \impl{?"|=?}\\ 3162 \end{tabular} 3163 \hfil 3690 \centering 3691 \input{../refrat/operidents} 3164 3692 \caption{Operator Identifiers} 3165 3693 \label{opids} … … 3208 3736 \section{Auto Type-Inferencing} 3209 3737 3210 Auto type-inferencing occurs in a declaration where a variable's type is inferred from its initialization ex pression type.3738 Auto type-inferencing occurs in a declaration where a variable's type is inferred from its initialization ex\-pression type. 3211 3739 \begin{quote2} 3212 3740 \begin{tabular}{@{}l@{\hspace{3em}}ll@{}} … … 3237 3765 \begin{itemize} 3238 3766 \item 3239 preventing having to determine or write outlong generic types,3767 preventing having to determine or write long generic types, 3240 3768 \item 3241 3769 ensure secondary variables, related to a primary variable, always have the same type. … … 3245 3773 \Indexc{gcc} provides ©typeof© to declare a secondary variable from a primary variable. 3246 3774 \CFA also relies heavily on the specification of the left-hand side of assignment for type inferencing, so in many cases it is crucial to specify the type of the left-hand side to select the correct type of the right-hand expression. 3247 Only for overloaded routines with the same return typeis variable type-inferencing possible.3775 Only for overloaded routines \emph{with the same return type} is variable type-inferencing possible. 3248 3776 Finally, ©auto© presents the programming problem of tracking down a type when the type is actually needed. 3249 3777 For example, given … … 3261 3789 There is also the conundrum in type inferencing of when to \emph{\Index{brand}} a type. 3262 3790 That is, when is the type of the variable more important than the type of its initialization expression. 3263 For example, if a change is made in an initialization expression, it can cause hundreds or thousands ofcascading type changes and/or errors.3264 At some point, a programmer wants the type of the variableto remain constant and the expression to be in error when it changes.3791 For example, if a change is made in an initialization expression, it can cause significant cascading type changes and/or errors. 3792 At some point, a variable type needs to remain constant and the expression to be in error when it changes. 3265 3793 3266 3794 Given ©typedef© and ©typeof© in \CFA, and the strong need to use the type of left-hand side in inferencing, auto type-inferencing is not supported at this time. … … 3475 4003 } 3476 4004 \end{cfa} 3477 \end{comment}3478 3479 3480 \subsection{Memory Management}3481 3482 3483 \subsubsection{Manual Memory Management}3484 3485 Using malloc and free to dynamically allocate memory exposes several potential, and common, errors.3486 First, malloc breaks type safety because it returns a pointer to void.3487 There is no relationship between the type that the returned pointer is cast to, and the amount of memory allocated.3488 This problem is solved with a type-safe malloc.3489 Do.s type-safe malloc does not take any arguments for size.3490 Instead, it infers the type based on the return value, and then allocates space for the inferred type.3491 3492 \begin{cfa}3493 float *f = malloc(); // allocates the size of a float3494 3495 struct S {3496 int i, j, k;3497 };3498 3499 struct S *s = malloc(); // allocates the size of a struct S3500 \end{cfa}3501 3502 In addition to the improved malloc, \CFA also provides a technique for combining allocation and initialization into one step, using the new function.3503 For all constructors defined for a given type (see Operator Overloading), a corresponding call to new can be used to allocate and construct that type.3504 3505 \begin{cfa}3506 type Complex = struct {3507 float real;3508 float imag;3509 };3510 3511 // default constructor3512 3513 void ?{}(Complex &c) {3514 c.real = 0.0;3515 c.imag = 0.0;3516 }3517 3518 3519 3520 // 2 parameter constructor3521 3522 void ?{}(Complex &c, float real, float imag) {3523 c.real = real;3524 c.imag = imag;3525 }3526 3527 3528 int main() {3529 Complex c1; // No constructor is called3530 Complex c2{}; // Default constructor called3531 Complex c3{1.0, -1.0}; // 2 parameter constructor is called3532 3533 Complex *p1 = malloc(); // allocate3534 Complex *p2 = new(); // allocate + default constructor3535 Complex *p3 = new(0.5, 1.0); // allocate + 2 param constructor3536 }3537 \end{cfa}3538 3539 3540 \subsubsection{Automatic Memory Management}3541 3542 \CFA may also support automatic memory management to further improve safety.3543 If the compiler can insert all of the code needed to manage dynamically allocated memory (automatic reference counting), then developers can avoid problems with dangling pointers, double frees, memory leaks, etc.3544 This feature requires further investigation.3545 \CFA will not have a garbage collector, but might use some kind of region-based memory management.3546 3547 3548 \begin{comment}3549 \subsection{Unsafe C Constructs}3550 3551 C programmers are able to access all of the low-level tricks that are sometimes needed for close-to-the-hardware programming.3552 Some of these practices however are often error-prone and difficult to read and maintain.3553 Since \CFA is designed to be safer than C, such constructs are disallowed in \CFA code.3554 If a programmer wants to use one of these unsafe C constructs, the unsafe code must be contained in a C linkage block (see Interoperability), which will be compiled like C code.3555 This block means that the user is telling the tools, .I know this is unsafe, but I.m going to do it anyway..3556 3557 The exact set of unsafe C constructs that will be disallowed in \CFA has not yet been decided, but is sure to include pointer arithmetic, pointer casting, etc.3558 Once the full set is decided, the rules will be listed here.3559 4005 \end{comment} 3560 4006 … … 3780 4226 \label{f:SimpleTasks} 3781 4227 \end{figure} 3782 3783 3784 \begin{comment}3785 \begin{cfa}3786 type Adder = task {3787 int *row;3788 int size;3789 int &subtotal;3790 }3791 \end{cfa}3792 3793 A task may define a constructor, which will be called upon allocation and run on the caller.s thread.3794 A destructor may also be defined, which is called at deallocation (when a dynamic object is deleted or when a local object goes out of scope).3795 After a task is allocated and initialized, its thread is spawned implicitly and begins executing in its function call method.3796 All tasks must define this function call method, with a void return value and no additional parameters, or the compiler will report an error.3797 Below are example functions for the above Adder task, and its usage to sum up a matrix on multiple threads.3798 (Note that this example is designed to display the syntax and functionality, not the best method to solve this problem)3799 \begin{cfa}3800 void ?{}(Adder &a, int r[], int s, int &st) { // constructor3801 a.row = r;3802 a.size = s;3803 a.subtotal = st;3804 }3805 3806 // implicitly spawn thread and begin execution here3807 3808 void ?()(Adder &a) {3809 int c;3810 subtotal = 0;3811 for (c=0; c<a.size; ++c) {3812 subtotal += row[c];3813 }3814 }3815 3816 int main() {3817 const int rows = 100, cols = 1000000;3818 int matrix[rows][cols];3819 int subtotals[rows];3820 int total = 0;3821 int r;3822 3823 { // create a new scope here for our adders3824 Adder adders[rows];3825 // read in the matrix3826 ...3827 for (r=0; r<rows; ++r) {3828 // tasks are initialized on this thread3829 Adders[r] = {matrix[r], cols, subtotals[r]};3830 Adders[r](); // spawn thread and begin execution3831 }3832 } // adders go out of scope; block here until they all finish3833 total += subtotals[r];3834 printf(.total is %d\n., total);3835 }3836 \end{cfa}3837 3838 \subsection{Cooperative Scheduling}3839 3840 Tasks in \CFA are cooperatively scheduled, meaning that a task will not be interrupted by another task, except at specific yield points.3841 In Listing 31, there are no yield points, so each task runs to completion with no interruptions.3842 Places where a task could yield include waiting for a lock (explicitly or implicitly), waiting for I/O, or waiting for a specific function (or one of a set of functions) to be called.3843 This last option is introduced with the yield function. yield is used to indicate that this task should yield its thread until the specified function is called.3844 For example, the code below defines a monitor that maintains a generic list.3845 When a task tries to pop from the list, but it is empty, the task should yield until another task puts something into the list, with the push function.3846 Similarly, when a task tries to push something onto the list, but it is full, it will yield until another task frees some space with the pop function.3847 3848 \begin{cfa}3849 // type T is used as a generic type for all definitions inside3850 // the curly brackets3851 3852 generic(type T) {3853 type Channel = monitor {3854 List(T) list; // list is a simple generic list type3855 };3856 3857 T pop(mutex &Channel(T) ch) {3858 if (ch.list.empty()) {3859 // yield until push is called for this channel3860 yield(push);3861 }3862 return ch.list.pop();3863 }3864 3865 void push(mutex &Channel(T)ch, T val) {3866 if (ch.list.full()) {3867 // yield until pop is called for this channel3868 yield(pop);3869 }3870 ch.list.push(val);3871 }3872 }3873 \end{cfa}3874 3875 A task can also yield indefinitely by calling yield with no arguments.3876 This will tell the scheduler to yield this task until it is resumed by some other task.3877 A task can resume another task by using its functional call operator.3878 The code below shows a simple ping-pong example, where two tasks yield back and forth to each other using these methods.3879 3880 \begin{cfa}3881 type Ping = task {3882 Pong *partner;3883 };3884 3885 void ?{}(Ping &p, Pong *partner = 0) {3886 p.partner = partner;3887 }3888 3889 void ?()(Ping &p) {3890 for(;;) { // loop forever3891 printf(.ping\n.);3892 partner(); // resumes the partner task3893 yield(); // yields this task3894 }3895 }3896 3897 type Pong = task {3898 Ping *partner;3899 };3900 3901 void ?{}(Pong &p, Ping *partner = 0) {3902 p.partner = partner;3903 }3904 3905 void ?()(Pong &p) {3906 for(;;) { // loop forever3907 yield(); // yields this task3908 printf(.pong/n.);3909 partner(); // resumes the partner task3910 }3911 }3912 3913 void main() {3914 Ping ping; // allocate ping3915 Pong pong{ping}; // allocate, initialize, and start pong3916 Ping{pong}; // initialize and start ping3917 }3918 \end{cfa}3919 3920 The same functionality can be accomplished by providing functions to be called by the partner task.3921 \begin{cfa}3922 type Pingpong = task {3923 String msg;3924 Pingpong *partner;3925 };3926 3927 void ?{}(Pingpong &p, String msg, Pingpong *partner = 0) {3928 p.msg = msg;3929 p.partner = partner;3930 }3931 3932 void ?()(Pingpong &p) {3933 for(;;) {3934 yield(go);3935 }3936 }3937 3938 void go(Pingpong &p) {3939 print(.%(p.msg)\n.);3940 go(p.partner);3941 }3942 3943 void main() {3944 Pingpong ping = {.ping.};3945 Pingpong pong = {.pong., ping};3946 ping.partner = pong;3947 go(ping);3948 }3949 \end{cfa}3950 \end{comment}3951 4228 3952 4229 … … 4609 4886 4610 4887 4611 \section{ Comparison with Other Languages}4888 \section{Language Comparisons} 4612 4889 4613 4890 \CFA is one of many languages that attempts to improve upon C. … … 5344 5621 5345 5622 5346 \section{\texorpdfstring{\CFA Keywords}{Cforall Keywords}} 5347 \label{s:CFAKeywords} 5348 5349 \CFA introduces the following new keywords. 5350 5351 \begin{quote2} 5352 \begin{tabular}{lllll} 5353 \begin{tabular}{@{}l@{}} 5354 ©_At© \\ 5355 ©catch© \\ 5356 ©catchResume© \\ 5357 ©choose© \\ 5358 ©coroutine© \\ 5359 \end{tabular} 5360 & 5361 \begin{tabular}{@{}l@{}} 5362 ©disable© \\ 5363 ©dtype© \\ 5364 ©enable© \\ 5365 ©fallthrough© \\ 5366 ©fallthru© \\ 5367 \end{tabular} 5368 & 5369 \begin{tabular}{@{}l@{}} 5370 ©finally© \\ 5371 ©forall© \\ 5372 ©ftype© \\ 5373 ©lvalue© \\ 5374 ©monitor© \\ 5375 \end{tabular} 5376 & 5377 \begin{tabular}{@{}l@{}} 5378 ©mutex© \\ 5379 ©one_t© \\ 5380 ©otype© \\ 5381 ©throw© \\ 5382 ©throwResume© \\ 5383 \end{tabular} 5384 & 5385 \begin{tabular}{@{}l@{}} 5386 ©trait© \\ 5387 ©try© \\ 5388 ©ttype© \\ 5389 ©zero_t© \\ 5390 \\ 5391 \end{tabular} 5392 \end{tabular} 5393 \end{quote2} 5394 5395 5396 \section{Incompatible} 5623 \section{C Incompatibles} 5397 5624 5398 5625 The following incompatibles exist between \CFA and C, and are similar to Annex C for \CC~\cite{C++14}. … … 5422 5649 g( p1, p2 ) int p1, p2; §\C{// int g( int p1, int p2 );}§ 5423 5650 \end{cfa} 5424 \CFA supportsK\&R routine definitions:5651 \CFA continues to support K\&R routine definitions: 5425 5652 \begin{cfa} 5426 5653 f( a, b, c ) §\C{// default int return}§ … … 5495 5722 struct X { int i; struct X *next; }; 5496 5723 static struct X a; §\C{// forward definition}§ 5497 static struct X b = { 0, ®&a® }; 5724 static struct X b = { 0, ®&a® };§\C{// forward reference, valid in C, invalid in \CFA}§ 5498 5725 static struct X a = { 1, &b }; §\C{// definition}§ 5499 5726 \end{cfa} … … 5510 5737 enum ®Colour® { R, G, B, Y, C, M }; 5511 5738 struct Person { 5512 enum ®Colour® { R, G, B }; §\C {// nested type}§5739 enum ®Colour® { R, G, B }; §\C[7cm]{// nested type}§ 5513 5740 struct Face { §\C{// nested type}§ 5514 5741 ®Colour® Eyes, Hair; §\C{// type defined outside (1 level)}§ … … 5519 5746 }; 5520 5747 ®Colour® c = R; §\C{// type/enum defined same level}§ 5521 Person®.Colour® pc = Person®.®R; 5522 Person®.®Face pretty; §\C{// type defined inside} §5748 Person®.Colour® pc = Person®.®R;§\C{// type/enum defined inside}§ 5749 Person®.®Face pretty; §\C{// type defined inside}\CRT§ 5523 5750 \end{cfa} 5524 5751 In C, the name of the nested types belongs to the same scope as the name of the outermost enclosing structure, \ie the nested types are hoisted to the scope of the outer-most type, which is not useful and confusing. … … 5549 5776 \item 5550 5777 \begin{description} 5778 \item[Change:] remove implicit conversion of ©void *© to or from any ©T *© pointer: 5779 \begin{cfa} 5780 void foo() { 5781 int * b = malloc( sizeof(int) ); §\C{// implicitly convert void * to int *}§ 5782 char * c = b; §\C{// implicitly convert int * to void *, and then void * to char *}§ 5783 } 5784 \end{cfa} 5785 \item[Rationale:] increase type safety 5786 \item[Effect on original feature:] deletion of semantically well-defined feature. 5787 \item[Difficulty of converting:] requires adding a cast (see \VRef{s:StorageManagement} for better alternatives): 5788 \begin{cfa} 5789 int * b = (int *)malloc( sizeof(int) ); 5790 char * c = (char *)b; 5791 \end{cfa} 5792 \item[How widely used:] Significant. 5793 Some C translators already give a warning if the cast is not used. 5794 \end{description} 5795 5796 \item 5797 \begin{description} 5798 \item[Change:] Types must be declared in declarations, not in expressions 5799 In C, a sizeof expression or cast expression may create a new type. For example, 5800 \begin{cfa} 5801 p = (void*)(struct x {int i;} *)0; 5802 \end{cfa} 5803 declares a new type, struct x . 5804 \item[Rationale:] This prohibition helps to clarify the location of declarations in the source code. 5805 \item[Effect on original feature:] Deletion of a semantically welldefined feature. 5806 \item[Difficulty of converting:] Syntactic transformation. 5807 \item[How widely used:] Seldom. 5808 \end{description} 5809 5810 \item 5811 \begin{description} 5551 5812 \item[Change:] comma expression is disallowed as subscript 5552 5813 \item[Rationale:] safety issue to prevent subscripting error for multidimensional arrays: ©x[i,j]© instead of ©x[i][j]©, and this syntactic form then taken by \CFA for new style arrays. 5553 5814 \item[Effect on original feature:] change to semantics of well-defined feature. 5554 5815 \item[Difficulty of converting:] semantic transformation of ©x[i,j]© to ©x[(i,j)]© 5555 \item[How widely used:] seldom.5816 \item[How widely used:] Seldom. 5556 5817 \end{description} 5557 5818 \end{enumerate} 5558 5819 5559 5820 5821 \section{\texorpdfstring{\CFA Keywords}{Cforall Keywords}} 5822 \label{s:CFAKeywords} 5823 5824 \CFA introduces the following new keywords. 5825 5826 \begin{quote2} 5827 \input{../refrat/keywords} 5828 \end{quote2} 5829 5830 5560 5831 \section{Standard Headers} 5561 5832 \label{s:StandardHeaders} … … 5563 5834 \Celeven prescribes the following standard header-files~\cite[\S~7.1.2]{C11} and \CFA adds to this list: 5564 5835 \begin{quote2} 5565 \lstset{deletekeywords={float}} 5566 \begin{tabular}{@{}llll|l@{}} 5567 \multicolumn{4}{c|}{C11} & \multicolumn{1}{c}{\CFA} \\ 5836 \begin{tabular}{@{}llllll|l@{}} 5837 \multicolumn{6}{c|}{C11} & \multicolumn{1}{c}{\CFA} \\ 5568 5838 \hline 5569 5839 \begin{tabular}{@{}l@{}} … … 5573 5843 \Indexc{errno.h} \\ 5574 5844 \Indexc{fenv.h} \\ 5575 \Indexc{float.h} \\5576 \Indexc{inttypes.h} \\5577 \Indexc{iso646.h} \\5578 5845 \end{tabular} 5579 5846 & 5580 5847 \begin{tabular}{@{}l@{}} 5848 \Indexc[deletekeywords=float]{float.h} \\ 5849 \Indexc{inttypes.h} \\ 5850 \Indexc{iso646.h} \\ 5581 5851 \Indexc{limits.h} \\ 5582 5852 \Indexc{locale.h} \\ 5853 \end{tabular} 5854 & 5855 \begin{tabular}{@{}l@{}} 5583 5856 \Indexc{math.h} \\ 5584 5857 \Indexc{setjmp.h} \\ … … 5586 5859 \Indexc{stdalign.h} \\ 5587 5860 \Indexc{stdarg.h} \\ 5588 \Indexc{stdatomic.h} \\5589 5861 \end{tabular} 5590 5862 & 5591 5863 \begin{tabular}{@{}l@{}} 5864 \Indexc{stdatomic.h} \\ 5592 5865 \Indexc{stdbool.h} \\ 5593 5866 \Indexc{stddef.h} \\ 5594 5867 \Indexc{stdint.h} \\ 5595 5868 \Indexc{stdio.h} \\ 5869 \end{tabular} 5870 & 5871 \begin{tabular}{@{}l@{}} 5596 5872 \Indexc{stdlib.h} \\ 5597 5873 \Indexc{stdnoreturn.h} \\ 5598 5874 \Indexc{string.h} \\ 5599 5875 \Indexc{tgmath.h} \\ 5876 \Indexc{threads.h} \\ 5600 5877 \end{tabular} 5601 5878 & 5602 5879 \begin{tabular}{@{}l@{}} 5603 \Indexc{threads.h} \\5604 5880 \Indexc{time.h} \\ 5605 5881 \Indexc{uchar.h} \\ … … 5607 5883 \Indexc{wctype.h} \\ 5608 5884 \\ 5609 \\5610 \\5611 5885 \end{tabular} 5612 5886 & 5613 5887 \begin{tabular}{@{}l@{}} 5888 \Indexc{gmp.h} \\ 5889 \Indexc{malloc.h} \\ 5614 5890 \Indexc{unistd.h} \\ 5615 \Indexc{gmp.h} \\5616 \\5617 \\5618 \\5619 \\5620 5891 \\ 5621 5892 \\ … … 5626 5897 hence, names in these include files are not mangled\index{mangling!name} (see~\VRef{s:Interoperability}). 5627 5898 All other C header files must be explicitly wrapped in ©extern "C"© to prevent name mangling. 5628 For \Index*[C++]{\CC{}}, the name-mangling issue is handled implicitly because most C header-files are augmented with checks for preprocessor variable ©__cplusplus©, which adds appropriate ©extern "C"© qualifiers.5899 For \Index*[C++]{\CC{}}, the name-mangling issue is often handled internally in many C header-files through checks for preprocessor variable ©__cplusplus©, which adds appropriate ©extern "C"© qualifiers. 5629 5900 5630 5901 … … 5636 5907 5637 5908 \subsection{Storage Management} 5909 \label{s:StorageManagement} 5638 5910 5639 5911 The storage-management routines extend their C equivalents by overloading, alternate names, providing shallow type-safety, and removing the need to specify the allocation size for non-array types. … … 5655 5927 The table shows allocation routines supporting different combinations of storage-management capabilities: 5656 5928 \begin{center} 5657 \begin{tabular}{@{} lr|l|l|l|l@{}}5658 && \multicolumn{1}{c|}{fill} & resize & alignment & array \\5929 \begin{tabular}{@{}r|r|l|l|l|l@{}} 5930 \multicolumn{1}{c}{}& & \multicolumn{1}{c|}{fill} & resize & alignment & array \\ 5659 5931 \hline 5660 5932 C & ©malloc© & no & no & no & no \\ … … 5663 5935 & ©memalign© & no & no & yes & no \\ 5664 5936 & ©posix_memalign© & no & no & yes & no \\ 5937 \hline 5665 5938 C11 & ©aligned_alloc© & no & no & yes & no \\ 5939 \hline 5666 5940 \CFA & ©alloc© & no/copy/yes & no/yes & no & yes \\ 5667 5941 & ©align_alloc© & no/yes & no & yes & yes \\ … … 5847 6121 long double remainder( long double, long double ); 5848 6122 5849 [ int, float ] remquo( float, float );§\indexc{remquo}§ 5850 float remquo( float, float, int * ); 6123 float remquo( float, float, int * );§\indexc{remquo}§ 6124 double remquo( double, double, int * ); 6125 long double remquo( long double, long double, int * ); 6126 [ int, float ] remquo( float, float ); 5851 6127 [ int, double ] remquo( double, double ); 5852 double remquo( double, double, int * );5853 6128 [ int, long double ] remquo( long double, long double ); 5854 long double remquo( long double, long double, int * ); 5855 5856 [ int, float ] div( float, float ); // alternative name for remquo 5857 float div( float, float, int * );§\indexc{div}§ 6129 6130 float div( float, float, int * );§\indexc{div}§ §\C{// alternative name for remquo}§ 6131 double div( double, double, int * ); 6132 long double div( long double, long double, int * ); 6133 [ int, float ] div( float, float ); 5858 6134 [ int, double ] div( double, double ); 5859 double div( double, double, int * );5860 6135 [ int, long double ] div( long double, long double ); 5861 long double div( long double, long double, int * );5862 6136 5863 6137 float fma( float, float, float );§\indexc{fma}§ … … 5889 6163 double exp2( double ); 5890 6164 long double exp2( long double ); 5891 float _Complex exp2( float _Complex );5892 double _Complex exp2( double _Complex );5893 long double _Complex exp2( long double _Complex );6165 // float _Complex exp2( float _Complex ); 6166 // double _Complex exp2( double _Complex ); 6167 // long double _Complex exp2( long double _Complex ); 5894 6168 5895 6169 float expm1( float );§\indexc{expm1}§ … … 5897 6171 long double expm1( long double ); 5898 6172 6173 float pow( float, float );§\indexc{pow}§ 6174 double pow( double, double ); 6175 long double pow( long double, long double ); 6176 float _Complex pow( float _Complex, float _Complex ); 6177 double _Complex pow( double _Complex, double _Complex ); 6178 long double _Complex pow( long double _Complex, long double _Complex ); 6179 \end{cfa} 6180 6181 6182 \subsection{Logarithm} 6183 6184 \leavevmode 6185 \begin{cfa}[aboveskip=0pt,belowskip=0pt] 5899 6186 float log( float );§\indexc{log}§ 5900 6187 double log( double ); … … 5907 6194 double log2( double ); 5908 6195 long double log2( long double ); 5909 float _Complex log2( float _Complex );5910 double _Complex log2( double _Complex );5911 long double _Complex log2( long double _Complex );6196 // float _Complex log2( float _Complex ); 6197 // double _Complex log2( double _Complex ); 6198 // long double _Complex log2( long double _Complex ); 5912 6199 5913 6200 float log10( float );§\indexc{log10}§ 5914 6201 double log10( double ); 5915 6202 long double log10( long double ); 5916 float _Complex log10( float _Complex );5917 double _Complex log10( double _Complex );5918 long double _Complex log10( long double _Complex );6203 // float _Complex log10( float _Complex ); 6204 // double _Complex log10( double _Complex ); 6205 // long double _Complex log10( long double _Complex ); 5919 6206 5920 6207 float log1p( float );§\indexc{log1p}§ … … 5929 6216 double logb( double ); 5930 6217 long double logb( long double ); 5931 \end{cfa} 5932 5933 5934 \subsection{Power} 5935 5936 \leavevmode 5937 \begin{cfa}[aboveskip=0pt,belowskip=0pt] 6218 5938 6219 float sqrt( float );§\indexc{sqrt}§ 5939 6220 double sqrt( double ); … … 5950 6231 double hypot( double, double ); 5951 6232 long double hypot( long double, long double ); 5952 5953 float pow( float, float );§\indexc{pow}§5954 double pow( double, double );5955 long double pow( long double, long double );5956 float _Complex pow( float _Complex, float _Complex );5957 double _Complex pow( double _Complex, double _Complex );5958 long double _Complex pow( long double _Complex, long double _Complex );5959 6233 \end{cfa} 5960 6234 … … 6010 6284 long double atan2( long double, long double ); 6011 6285 6012 float atan( float, float ); // alternative name for atan26286 float atan( float, float ); §\C{// alternative name for atan2}§ 6013 6287 double atan( double, double );§\indexc{atan}§ 6014 6288 long double atan( long double, long double ); … … 6198 6472 6199 6473 \begin{cfa} 6200 void ?{}( Int * this ); §\C{// constructor }§6474 void ?{}( Int * this ); §\C{// constructor/destructor}§ 6201 6475 void ?{}( Int * this, Int init ); 6202 6476 void ?{}( Int * this, zero_t ); … … 6453 6727 // implementation 6454 6728 struct Rational {§\indexc{Rational}§ 6455 long int numerator, denominator; // invariant: denominator > 06729 long int numerator, denominator; §\C{// invariant: denominator > 0}§ 6456 6730 }; // Rational 6457 6731
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