Changeset 520fa9e for doc/theses
- Timestamp:
- Oct 30, 2024, 11:05:29 PM (13 hours ago)
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- doc/theses/mike_brooks_MMath
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doc/theses/mike_brooks_MMath/background.tex
ra3bd827 r520fa9e 640 640 641 641 Linked-lists are blocks of storage connected using one or more pointers. 642 The storage block is logically divided into data (user payload) and links (list pointers), where the links are the only component used by the list structure.642 The storage block (node) is logically divided into data (user payload) and links (list pointers), where the links are the only component used by the list structure. 643 643 Since the data is opaque, list structures are often polymorphic over the data, which is often homogeneous. 644 644 645 Storage linking is used to build data structures, which are a group of nodes, containing data and links, organized in a particular format, with specific operations peculiar to that format, \eg queue, tree, hash table, \etc.645 The links organize nodes into a particular format, \eg queue, tree, hash table, \etc, with operations specific to that format. 646 646 Because a node's existence is independent of the data structure that organizes it, all nodes are manipulated by address not value; 647 647 hence, all data structure routines take and return pointers to nodes and not the nodes themselves. … … 651 651 \label{toc:lst:issue} 652 652 653 This section introduces thedesign space for linked lists that target \emph{system programmers}.654 Within this restricted target, all design-issue discussions assume the following invariants.655 Alternatives to the assumptions are discussed under Future Work (Section~\ref{toc:lst:futwork}).653 This thesis focuses on a reduced design space for linked lists that target \emph{system programmers}. 654 Within this restricted space, all design-issue discussions assume the following invariants; 655 alternatives to the assumptions are discussed under Future Work (Section~\ref{toc:lst:futwork}). 656 656 \begin{itemize} 657 657 \item A doubly-linked list is being designed. … … 672 672 and further libraries are introduced as needed. 673 673 \begin{enumerate} 674 \item Linux Queue library \cite{lst:linuxq} (LQ) of @<sys/queue.h>@.674 \item Linux Queue library~\cite{lst:linuxq} (LQ) of @<sys/queue.h>@. 675 675 \item \CC Standard Template Library's (STL)\footnote{The term STL is contentious as some people prefer the term standard library.} @std::list@\cite{lst:stl} 676 676 \end{enumerate} 677 677 %A general comparison of libraries' abilities is given under Related Work (Section~\ref{toc:lst:relwork}). 678 678 For the discussion, assume the fictional type @req@ (request) is the user's payload in examples. 679 As well, the list library is helping the user manage (organize) requests, \eg a request can be work on the level of handling a network arrival 679 As well, the list library is helping the user manage (organize) requests, \eg a request can be work on the level of handling a network arrival-event or scheduling a thread. 680 680 681 681 … … 684 684 685 685 Link attachment deals with the question: 686 Where are the libraries' inter- element linkfields stored, in relation to the user's payload data fields?686 Where are the libraries' inter-node link-fields stored, in relation to the user's payload data fields? 687 687 \VRef[Figure]{fig:lst-issues-attach} shows three basic styles. 688 688 \VRef[Figure]{f:Intrusive} shows the \newterm{intrusive} style, placing the link fields inside the payload structure. … … 793 793 The traversal actually moves from link fields to link fields within a node and sets the node cursor from the pointer within the link fields back to the node. 794 794 795 A further aspect of layout control is allowing the user to explicitly specify link fields controlling attributes and placementwithin the @req@ object.796 LQ allows this ability through the @LIST_ENTRY@ macro ;\footnote{It is possible to have multiple named linked fields allowing a node to appear on multiple lists simultaneously.}797 supplying the link fields by inheritance makes them implicit and relies on compiler placement, such as the start or end of @req@.798 An example of an explicit attribute is cache alignment of the link fields in conjunction with other @req@ fields, improving locality and/or avoiding false sharing.795 A further aspect of layout control is allowing the user to explicitly specify link fields controlling placement and attributes within the @req@ object. 796 LQ allows this ability through the @LIST_ENTRY@ macro\footnote{It is possible to have multiple named linked fields allowing a node to appear on multiple lists simultaneously.}, which can be placed anywhere in the node. 797 An example of an attribute on the link fields is cache alignment, possibly in conjunction with other @req@ fields, improving locality and/or avoiding false sharing. 798 Supplying the link fields by inheritance makes them implicit and relies on compiler placement, such as the start or end of @req@, and no explicit attributes. 799 799 Wrapped reference has no control over the link fields, but the separate data allows some control; 800 800 wrapped value has no control over data or links. … … 805 805 The same is not true of STL, wrapped reference or value. 806 806 There, the analogous operations, @iterator::operator++()@, @iterator::operator*()@, and @list::erase(iterator)@, work on a parameter of type @list<T>::iterator@; 807 There is no mapping from @req &@ to @list<req>::iterator@. %, for linear search.807 there is no mapping from @req &@ to @list<req>::iterator@. %, for linear search. 808 808 809 809 The advantage of wrapped is the abstraction of a data item from its list membership(s). … … 870 870 Thus, the intrusive LQ example supports multiple, but statically many, link lists. 871 871 Note, it is possible to reuse links for different purposes, \eg if a list in linked one way at one time and another way at another time, and these times do not overlap, the two different linkings can use the same link fields. 872 This feature is used in the \CFA runtime where a thread node may be on a blocked or running list, bothnever on both simultaneously.872 This feature is used in the \CFA runtime, where a thread node may be on a blocked or running list, but never on both simultaneously. 873 873 874 874 Now consider the STL in the wrapped-reference arrangement of Figure~\ref{f:WrappedRef}. 875 875 Here it is possible to construct the same simultaneity by creating multiple STL lists, each pointing at the appropriate nodes. 876 876 Each group of intrusive links become the links for each separate STL list. 877 The upside is the unlimited number of a lists a node can be associated with simultaneously,any number of STL lists can be created dynamically.877 The upside is the unlimited number of lists a node can be associated with simultaneously, as any number of STL lists can be created dynamically. 878 878 The downside is the dynamic allocation of the link nodes and managing multiple lists. 879 879 Note, it might be possible to wrap the multiple lists in another type to hide this implementation issue. … … 881 881 Now consider the STL in the wrapped-value arrangement of Figure~\ref{f:WrappedValue}. 882 882 Again, it is possible to construct the same simultaneity by creating multiple STL lists, each copying the appropriate nodes, where the intrusive links become the links for each separate STL list. 883 The upside is the same as for wrapped-reference arrangement with an unlimited number of alist bindings.884 The downside is the dynamic allocation and significant storage usage due to node copying.883 The upside is the same as for wrapped-reference arrangement with an unlimited number of list bindings. 884 The downside is the dynamic allocation, significant storage usage, and cost of copying nodes. 885 885 As well, it is unclear how node updates work in this scenario, without some notation of ultimately merging node information. 886 886 … … 895 895 % The example uses @x@; @reqs@ would be a more readily ignored choice. \PAB{wording?} 896 896 897 \uCpp is a concurrent extension of \CC, which provides a basic set of intrusive lists~\cite[appx.~F]{uC++}, where the link fields are defined with the data fields using inheritance. 897 An alternative system providing intrusive data-structures is \uCpp, a concurrent extension of \CC. 898 It provides a basic set of intrusive lists~\cite[appx.~F]{uC++}, where the link fields are defined with the data fields using inheritance. 898 899 \begin{cquote} 899 900 \setlength{\tabcolsep}{15pt} … … 960 961 \uCpp cheats by using inheritance for the first intrusive links, after which explicit naming of intrusive links is required. 961 962 Furthermore, these link names must be used in all list operations, including iterating, whereas wrapped reference and value hide the list names in the implicit dynamically-allocated node-structure. 962 At issue is whether an API for simultaneity can support one list (when several are not wanted) to be \emph{implicit}.963 At issue is whether an API for simultaneity can support one \emph{implicit} list, when several are not wanted. 963 964 \uCpp allows it, LQ does not, and the STL does not have this question. 964 965 965 966 966 967 \subsection{User integration: preprocessed vs.\ type-system mediated} 968 969 \PAB{What do you want to say here?} 967 970 968 971 % example of poor error message due to LQ's preprocessed integration … … 977 980 \label{toc:lst:issue:ident} 978 981 979 All examples so far have used distinct user-facing types: 980 an item found in a list (type @req@, of variables like @r1@), and 981 a list (type @reql@ or @list<req>@, of variables like @reqs@ or @reqs_rqr_42@). 982 \see{Figure~\ref{fig:lst-issues-attach} and Figure~\ref{fig:lst-issues-multi-static}} 983 The latter type is a head, and these examples are of headed lists. 984 985 A bespoke ``pointer to next @req@'' implementation often omits the latter type. 982 All examples so far use distinct user-facing types: 983 an item found in a list (type @req@ of variable @r1@, see \VRef[Figure]{fig:lst-issues-attach}), and a list (type @reql@ of variable @reqs_pri@, see \VRef[Figure]{fig:lst-issues-ident}). 984 The latter type is a head. 985 The resulting identity model (empty list) is just the head. 986 A bespoke ``pointer to next @req@'' implementation often omits the header; 987 hence, a pointer to any node can traverse its link fields: right or left and around, depending on the data structure. 986 988 The resulting identity model is ad-hoc. 989 990 Figure~\ref{fig:lst-issues-ident} shows the identity model's impact on 991 the existence of certain conceptual constructs, like zero-lengths lists and unlisted elements. 992 In headed thinking, there are length-zero lists (heads with no elements), and an element can be listed or not listed. 993 In ad-hoc thinking, there are no length-zero lists and every element belongs to a list of length at least one. 994 By omitting the head, elements can enter into an adjacency relationship, without requiring allocation for a head for the list, or finding a correct existing head. 987 995 988 996 \begin{figure} … … 996 1004 \end{figure} 997 1005 998 Figure~\ref{fig:lst-issues-ident} shows the identity model's impact on999 the existence of certain conceptual constructs, like zero-lengths lists and unlisted elements.1000 In headed thinking, there are length-zero lists (heads with no elements), and an element can be listed or not listed.1001 In ad-hoc thinking, there are no length-zero lists and every element belongs to a list of length at least one.1002 1003 By omitting the head, elements can enter into an adjacency relationship,1004 without requiring that someone allocate room for the head of the possibly-resulting list,1005 or being able to find a correct existing head.1006 1007 1006 A head defines one or more element roles, among elements that share a transitive adjacency. 1008 1007 ``First'' and ``last'' are element roles. … … 1010 1009 1011 1010 There is a cost to maintaining these roles. 1012 A runtime component of this cost is evident in LQ's offering the choice of type generators @LIST@ vs.~@TAILQ@.1011 A runtime component of this cost is evident in LQ's offering the choice of type generators @LIST@ \vs @TAILQ@. 1013 1012 Its @LIST@ maintains a ``first,'' but not a ``last;'' its @TAILQ@ maintains both roles. 1014 1013 (Both types are doubly linked and an analogous choice is available for singly linked.) … … 1025 1024 \subsection{End treatment: cased vs.\ uniform } 1026 1025 1027 This issue is implementation-level, relevant to achieving high performance. 1028 1029 A linear (non-circular), nonempty linked list has a first element and a last element, whether or not the list is headed. 1026 A linear (non-circular), nonempty linked-list has a first element and a last element, whether or not the list is headed. 1030 1027 A first element has no predecessor and a last element has no successor. 1031 1028 … … 1045 1042 End treatment refers to how the list represents the lack of a predecessor/successor. 1046 1043 The following elaboration refers to the LQ representations, detailed in Figure~\ref{fig:lst-issues-end}. 1047 1048 1044 The most obvious representation, a null pointer, mandates a cased end treatment. 1049 1045 LQ uses this representation for its successor/last. 1050 1046 Consider the operation of inserting after a given element. 1051 A doubly-linked list must update the given node's successor, to make its predecessor-pointer torefer to the new node.1047 A doubly-linked list must update the given node's successor, to make its predecessor-pointer refer to the new node. 1052 1048 This step must happen when the given node has a successor (when its successor pointer is non-null), 1053 1049 and must be skipped when it does not (when its successor pointer cannot be navigated). 1054 1050 So this operation contains a branch, to decide which case is happening. 1055 1051 All branches have pathological cases where branch prediction's success rate is low and the execution pipeline is stalling often. 1052 Hence, this issue is implementation-level, relevant to achieving high performance. 1056 1053 1057 1054 This branch is sometimes avoidable; the result is a uniform end treatment. 1058 Here is one example of such an implementation ; it works for a headed list.1059 LQ uses usesthis representation for its predecessor/first. (All LQ offerings are headed at the front.)1055 Here is one example of such an implementation that works for a headed list. 1056 LQ uses this representation for its predecessor/first. (All LQ offerings are headed at the front.) 1060 1057 For predecessor/first navigation, the relevant operation is inserting before a given element. 1061 1058 LQ's predecessor representation is not a pointer to a node, but a pointer to a pseudo-successor pointer. … … 1067 1064 Now, inserting before a given element does the same logic in both cases: 1068 1065 follow the guaranteed-non-null predecessor pointer, and update what you find there to refer to the new node. 1069 Applying this trick makes it possible to have list management routines that are completely free of con trolflow.1066 Applying this trick makes it possible to have list management routines that are completely free of conditional control-flow. 1070 1067 Considering a path length of only a few instructions (less than the processor's pipeline length), 1071 1068 such list management operations are often practically free, -
doc/theses/mike_brooks_MMath/intro.tex
ra3bd827 r520fa9e 88 88 89 89 90 \s ubsection{C?}90 \section{C?} 91 91 92 92 Like many established programming languages, C has a standards committee and multiple ANSI/\-ISO language manuals~\cite{C99,C11,C18,C23}. -
doc/theses/mike_brooks_MMath/programs/bkgd-carray-arrty.c
ra3bd827 r520fa9e 51 51 void f( float (*pa)[10] ) { 52 52 static_assert( sizeof( *pa ) == 40 ); $\C{// array}$ 53 static_assert( sizeof( pa ) == 8 ); 53 static_assert( sizeof( pa ) == 8 ); $\C{// pointer to array}$ 54 54 static_assert( sizeof( (*pa)[0] ) == 4 ); $\C{// first element}$ 55 55 static_assert( sizeof(&((*pa)[0])) == 8 ); $\C{// pointer to first element}$ … … 58 58 59 59 float fs@[]@ = {3.14, 1.77}; 60 char cs@[]@ = "hello"; // shorthand for 'h', 'e', 'l', 'l', 'o', '\0'60 char cs@[]@ = "hello"; // shorthand for { 'h', 'e', 'l', 'l', 'o', '\0' } 61 61 static_assert( sizeof(fs) == 2 * sizeof(float) ); 62 62 static_assert( sizeof(cs) == 6 * sizeof(char) ); $\C{// 5 letters + 1 null terminator}$ -
doc/theses/mike_brooks_MMath/programs/bkgd-carray-decay.c
ra3bd827 r520fa9e 30 30 edit( "hello" ); $\C{// Segmentation fault [decay here]}$ 31 31 32 void decay( float x[10]) {33 static_assert( sizeof(x) == sizeof(void *));32 void decay( @float x[10]@ ) { 33 static_assert(@sizeof(x) == sizeof(void *)@ ); 34 34 } 35 35 static_assert( sizeof(ar) == 10 * sizeof(float) ); 36 36 decay( ar ); 37 37 38 void no_decay( float (*px)[10]) {39 static_assert( sizeof(*px) == 10 * sizeof(float));38 void no_decay( @float (*px)[10]@ ) { 39 static_assert(@sizeof(*px) == 10 * sizeof(float)@); 40 40 } 41 41 static_assert( sizeof(*pa) == 10 * sizeof(float) ); -
doc/theses/mike_brooks_MMath/programs/bkgd-carray-mdim.c
ra3bd827 r520fa9e 15 15 int main() { 16 16 float ar[3][10]; 17 static_assert( sizeof(float) == 4);$\C{// floats (atomic elements) are 4 bytes}$18 static_assert( sizeof(void*) == 8);$\C{// pointers are 8 bytes}$17 static_assert( sizeof(float) == 4 ); $\C{// floats (atomic elements) are 4 bytes}$ 18 static_assert( sizeof(void*) == 8 ); $\C{// pointers are 8 bytes}$ 19 19 20 static_assert( sizeof(ar) == 120);$\C{// the array, float[3][10]}$21 static_assert( sizeof(ar[0]) == 40);$\C{// its first element, float[10]}$22 static_assert( sizeof(ar[0][0]) == 4);$\C{// its first grand element, float}$20 static_assert( sizeof(ar) == 120 ); $\C{// the array, float[3][10]}$ 21 static_assert( sizeof(ar[0]) == 40 ); $\C{// its first element, float[10]}$ 22 static_assert( sizeof(ar[0][0]) == 4 ); $\C{// its first grand element, float}$ 23 23 24 static_assert( sizeof(&(ar)) == 8);$\C{// pointer to the array, float(*)[3][10]}$25 static_assert( sizeof(&(ar[0])) == 8);$\C{// pointer to its first element, float(*)[10]}$26 static_assert( sizeof(&(ar[0][0])) == 8); $\C{// pointer to its first grand-element, float*}$24 static_assert( sizeof(&(ar)) == 8 ); $\C{// pointer to the array, float(*)[3][10]}$ 25 static_assert( sizeof(&(ar[0])) == 8 ); $\C{// pointer to its first element, float(*)[10]}$ 26 static_assert( sizeof(&(ar[0][0])) == 8 ); $\C{// pointer to its first grand-element, float*}$ 27 27 28 28 float (*pa)[3][10] = &(ar); … … 30 30 float *pa00 = &(ar[0][0]); 31 31 32 static_assert( (void*)&ar == (void*)&(ar[0] ));33 static_assert( (void*)&ar == (void*)&(ar[0][0]));32 static_assert( (void*)&ar == (void*)&(ar[0] ) ); 33 static_assert( (void*)&ar == (void*)&(ar[0][0]) ); 34 34 35 35 assert( (void *) pa == (void *) pa0 );
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