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tgmattso
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fixed minor typos, mostly in section headings
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‎graph-api-c/GraphBLAS_API_C.tex

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@@ -308,9 +308,9 @@ \chapter{Introduction}
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\item Chapter~\ref{Chp:Concepts}: Basic Concepts
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\item Chapter~\ref{Chp:Objects}: Objects
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\item Chapter~\ref{Chp:Methods}: Methods
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\item Chapter~\ref{Chp:Nonpolymorphic}: Nonpolymorphic Interface
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\item Appendix~\ref{Chp:RevHistory}: Revision History
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\item Appendix~\ref{App:Matrix_format_details}: Non-Opaque Data Format Definitions
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\item Chapter~\ref{Chp:Nonpolymorphic}: Nonpolymorphic interface
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\item Appendix~\ref{Chp:RevHistory}: Revision history
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\item Appendix~\ref{App:Matrix_format_details}: Non-opaque data format definitions
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\item Appendix~\ref{Chp:Examples}: Examples
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\end{itemize}
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\input{context_methods}
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\section{Object Methods}
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\section{Object methods}
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This section describes methods that setup and operate on GraphBLAS opaque objects
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but are not part of the the GraphBLAS math specification.

‎graph-api-c/algebra_methods.tex

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\subsection{Algebra Methods}
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\subsection{Algebra methods}
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\label{Sec:AlgebraMethods}
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%-----------------------------------------------------------------------------

‎graph-api-c/appendices.tex

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\chapter{Revision History}
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\chapter{Revision history}
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\label{Chp:RevHistory}
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%--------------------------------------------------------------
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%--------------------------------------------------------------
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%--------------------------------------------------------------
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\chapter{Non-Opaque Data Format Definitions}
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\chapter{Non-opaque data format definitions}
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\label{App:Matrix_format_details}
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\section{{\sf GrB\_Format}: Specify the format for input/output of a GraphBLAS matrix.}
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\pagebreak
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\nolinenumbers
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\section{Example: level breadth-first search (BFS) in GraphBLAS}
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\section{Example: Level breadth-first search (BFS) in GraphBLAS}
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{\scriptsize
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\lstinputlisting[language=C,numbers=left]{BFS5M.c}
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}
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\vfill
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\pagebreak
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\nolinenumbers
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\section{Example: level BFS in GraphBLAS using apply}
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\section{Example: Level BFS in GraphBLAS using apply}
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{\scriptsize
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\lstinputlisting[language=C,numbers=left]{BFS6_apply.c}
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}
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\vfill
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\pagebreak
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\nolinenumbers
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\section{Example: parent BFS in GraphBLAS}
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\section{Example: Parent BFS in GraphBLAS}
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{\scriptsize
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\lstinputlisting[language=C,numbers=left]{BFS7_parents.c}
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}
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\vfill
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\pagebreak
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\nolinenumbers
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\section{Example: betweenness centrality (BC) in GraphBLAS}
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\section{Example: Betweenness centrality (BC) in GraphBLAS}
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\label{App:BCnobatch}
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{\scriptsize
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\lstinputlisting[language=C,numbers=left]{BC1M_update.c}
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\pagebreak
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\nolinenumbers
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\section{Example: batched BC in GraphBLAS}
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\section{Example: Batched BC in GraphBLAS}
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{\scriptsize
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\lstinputlisting[language=C,escapechar=|,numbers=left]{BC1_batch.c}
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}
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\vfill
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\pagebreak
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\nolinenumbers
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\section{Example: maximal independent set (MIS) in GraphBLAS}
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\section{Example: Maximal independent set (MIS) in GraphBLAS}
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{\scriptsize
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\lstinputlisting[language=C,numbers=left]{MIS1.c}
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}
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\vfill
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\pagebreak
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\nolinenumbers
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\section{Example: counting triangles in GraphBLAS}
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\section{Example: Counting triangles in GraphBLAS}
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{\scriptsize
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\lstinputlisting[language=C,numbers=left]{TC1.c}
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}

‎graph-api-c/basic_concepts.tex

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\chapter{Basic Concepts}
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\chapter{Basic concepts}
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\label{Chp:Concepts}
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The GraphBLAS C API is used to construct
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\restoregeometry
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\section{Mathematical Foundations}
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\section{Mathematical foundations}
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Graphs can be represented in terms of matrices. The values stored in these
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matrices correspond to attributes (often weights) of edges in the graph.\footnote{More information on the mathematical foundations can be found in the following paper: J. Kepner, P. Aaltonen, D. Bader, A. Buluç, F. Franchetti, J. Gilbert, D. Hutchison, M. Kumar, A. Lumsdaine, H. Meyerhenke, S. McMillan, J. Moreira, J. Owens, C. Yang, M. Zalewski, and T. Mattson. 2016, September. Mathematical foundations of the GraphBLAS. In \emph{2016 IEEE High Performance Extreme Computing Conference (HPEC)} (pp. 1-9). IEEE.}
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the problem itself is ill-conditioned and needs to be reformulated.
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\section{GraphBLAS Opaque Objects}
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\section{GraphBLAS opaque objects}
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Objects defined in the GraphBLAS standard include types (the domains of
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elements), collections of elements (matrices, vectors, and scalars), operators
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% ========================================================================
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\section{Execution Model}
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\section{Execution model}
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\label{Sec:ExecutionModel}
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A program using the GraphBLAS C API is called
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%============================================================================
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\section{Error Model}
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\section{Error model}
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\label{Sec:ErrorModel}
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All GraphBLAS methods return a value of type {\sf GrB\_Info} (an enum) to

‎graph-api-c/context_methods.tex

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\section{Context Methods}
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\section{Context methods}
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The methods in this section set up and tear down the GraphBLAS
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context within which all GraphBLAS methods must be executed. The initialization

‎graph-api-c/descriptor_methods.tex

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\subsection{Descriptor Methods}
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\subsection{Descriptor methods}
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The methods in this section create and set values in descriptors.
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A descriptor is an opaque GraphBLAS object the values of which are used to

‎graph-api-c/graphblas_operations.tex

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\section{GraphBLAS Operations}
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\section{GraphBLAS operations}
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\label{Sec:Operations}
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The GraphBLAS operations are defined in the GraphBLAS math specification and summarized in

‎graph-api-c/nonpolymorphic.tex

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\chapter{Nonpolymorphic Interface\scott{NEW CONTENT}}
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\chapter{Nonpolymorphic interface\scott{NEW CONTENT}}
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\label{Chp:Nonpolymorphic}
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Each polymorphic GraphBLAS method (those with multiple parameter

‎graph-api-c/objects.tex

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the {\sf GrB\_wait()} method for completing or materializing opaque objects.
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%============================================================================
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\section{Indices, Index Arrays, and Scalar Arrays}
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\section{Indices, index arrays, and scalar arrays}
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In order to interface with third-party software (\ie, software other than
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an implementation of the GraphBLAS), operations
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\end{table}
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%============================================================================
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\section{Types (Domains)}
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\section{Types (domains)}
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\label{Sec:Domains}
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In GraphBLAS, domains correspond to the valid values for types from the
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\end{table}
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%============================================================================
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\section{Algebraic Objects, Operators and Associated Functions}
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\section{Algebraic objects, operators and associated functions}
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GraphBLAS operators operate on elements stored in GraphBLAS collections. A
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\emph{binary operator} is a function that maps two input values to one
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(j,i,A_{ij}) : (i,j,A_{ij}) \in \mathbf{L}(\matrix{A}) \} \rangle$.
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%----------------------------------------------------------------------------
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\subsubsection{External Matrix Formats}\label{Sec:GrB_Format}
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\subsubsection{External matrix formats}\label{Sec:GrB_Format}
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The specification also supports the export and import of matrices to/from a
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number of commonly used formats, such as COO, CSR, and CSC formats. When
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\end{table}
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%============================================================================
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\section{{GrB\_Info} Return Values}
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\section{{GrB\_Info} return values}
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All GraphBLAS methods return a {\sf GrB\_Info} enumeration value. The three
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types of return codes (informational, API error, and execution error) and their

‎graph-api-c/ops_assign.tex

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\subsection{{\sf assign}: Modifying Sub-Graphs}
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\subsection{{\sf assign}: Modifying sub-graphs}
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\label{Sec:assign}
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Assign the contents of a subset of a matrix or vector.

‎graph-api-c/ops_extract.tex

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\subsection{{\sf extract}: Selecting Sub-Graphs}
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\subsection{{\sf extract}: Selecting sub-graphs}
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\label{Sec:extract}
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Extract a subset of a matrix or vector.

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