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revision 1.5 by cnh, Tue Nov 13 18:32:33 2001 UTC revision 1.11 by afe, Wed Jan 28 19:33:04 2004 UTC
# Line 1  Line 1 
1  % $Header$  % $Header$
2    
3  In this chapter we describe the software architecture and  This chapter focuses on describing the {\bf WRAPPER} environment within which
4  implementation strategy for the MITgcm code. The first part of this  both the core numerics and the pluggable packages operate. The description
5  chapter discusses the MITgcm architecture at an abstract level. In the second  presented here is intended to be a detailed exposition and contains significant
6  part of the chapter we described practical details of the MITgcm implementation  background material, as well as advanced details on working with the WRAPPER.
7  and of current tools and operating system features that are employed.  The tutorial sections of this manual (see sections
8    \ref{sect:tutorials}  and \ref{sect:tutorialIII})
9    contain more succinct, step-by-step instructions on running basic numerical
10    experiments, of varous types, both sequentially and in parallel. For many
11    projects simply starting from an example code and adapting it to suit a
12    particular situation
13    will be all that is required.
14    The first part of this chapter discusses the MITgcm architecture at an
15    abstract level. In the second part of the chapter we described practical
16    details of the MITgcm implementation and of current tools and operating system
17    features that are employed.
18    
19  \section{Overall architectural goals}  \section{Overall architectural goals}
20    
# Line 28  of Line 38  of
38    
39  \begin{enumerate}  \begin{enumerate}
40  \item A core set of numerical and support code. This is discussed in detail in  \item A core set of numerical and support code. This is discussed in detail in
41  section \ref{sec:partII}.  section \ref{sect:partII}.
42  \item A scheme for supporting optional "pluggable" {\bf packages} (containing  \item A scheme for supporting optional "pluggable" {\bf packages} (containing
43  for example mixed-layer schemes, biogeochemical schemes, atmospheric physics).  for example mixed-layer schemes, biogeochemical schemes, atmospheric physics).
44  These packages are used both to overlay alternate dynamics and to introduce  These packages are used both to overlay alternate dynamics and to introduce
# Line 74  Environment Resource). All numerical and Line 84  Environment Resource). All numerical and
84  to ``fit'' within the WRAPPER infrastructure. Writing code to ``fit'' within  to ``fit'' within the WRAPPER infrastructure. Writing code to ``fit'' within
85  the WRAPPER means that coding has to follow certain, relatively  the WRAPPER means that coding has to follow certain, relatively
86  straightforward, rules and conventions ( these are discussed further in  straightforward, rules and conventions ( these are discussed further in
87  section \ref{sec:specifying_a_decomposition} ).  section \ref{sect:specifying_a_decomposition} ).
88    
89  The approach taken by the WRAPPER is illustrated in figure  The approach taken by the WRAPPER is illustrated in figure
90  \ref{fig:fit_in_wrapper} which shows how the WRAPPER serves to insulate code  \ref{fig:fit_in_wrapper} which shows how the WRAPPER serves to insulate code
# Line 87  and operating systems. This allows numer Line 97  and operating systems. This allows numer
97  \resizebox{!}{4.5in}{\includegraphics{part4/fit_in_wrapper.eps}}  \resizebox{!}{4.5in}{\includegraphics{part4/fit_in_wrapper.eps}}
98  \end{center}  \end{center}
99  \caption{  \caption{
100  Numerical code is written too fit within a software support  Numerical code is written to fit within a software support
101  infrastructure called WRAPPER. The WRAPPER is portable and  infrastructure called WRAPPER. The WRAPPER is portable and
102  can be specialized for a wide range of specific target hardware and  can be specialized for a wide range of specific target hardware and
103  programming environments, without impacting numerical code that fits  programming environments, without impacting numerical code that fits
# Line 98  optimized for that platform.} Line 108  optimized for that platform.}
108  \end{figure}  \end{figure}
109    
110  \subsection{Target hardware}  \subsection{Target hardware}
111  \label{sec:target_hardware}  \label{sect:target_hardware}
112    
113  The WRAPPER is designed to target as broad as possible a range of computer  The WRAPPER is designed to target as broad as possible a range of computer
114  systems. The original development of the WRAPPER took place on a  systems. The original development of the WRAPPER took place on a
# Line 110  uniprocessor and multi-processor Sun sys Line 120  uniprocessor and multi-processor Sun sys
120  (UMA) and non-uniform memory access (NUMA) designs. Significant work has also  (UMA) and non-uniform memory access (NUMA) designs. Significant work has also
121  been undertaken on x86 cluster systems, Alpha processor based clustered SMP  been undertaken on x86 cluster systems, Alpha processor based clustered SMP
122  systems, and on cache-coherent NUMA (CC-NUMA) systems from Silicon Graphics.  systems, and on cache-coherent NUMA (CC-NUMA) systems from Silicon Graphics.
123  The MITgcm code, operating within the WRAPPER, is also used routinely used on  The MITgcm code, operating within the WRAPPER, is also routinely used on
124  large scale MPP systems (for example T3E systems and IBM SP systems). In all  large scale MPP systems (for example T3E systems and IBM SP systems). In all
125  cases numerical code, operating within the WRAPPER, performs and scales very  cases numerical code, operating within the WRAPPER, performs and scales very
126  competitively with equivalent numerical code that has been modified to contain  competitively with equivalent numerical code that has been modified to contain
# Line 118  native optimizations for a particular sy Line 128  native optimizations for a particular sy
128    
129  \subsection{Supporting hardware neutrality}  \subsection{Supporting hardware neutrality}
130    
131  The different systems listed in section \ref{sec:target_hardware} can be  The different systems listed in section \ref{sect:target_hardware} can be
132  categorized in many different ways. For example, one common distinction is  categorized in many different ways. For example, one common distinction is
133  between shared-memory parallel systems (SMP's, PVP's) and distributed memory  between shared-memory parallel systems (SMP's, PVP's) and distributed memory
134  parallel systems (for example x86 clusters and large MPP systems). This is one  parallel systems (for example x86 clusters and large MPP systems). This is one
# Line 211  computational phases a processor will re Line 221  computational phases a processor will re
221  whenever it requires values that outside the domain it owns. Periodically  whenever it requires values that outside the domain it owns. Periodically
222  processors will make calls to WRAPPER functions to communicate data between  processors will make calls to WRAPPER functions to communicate data between
223  tiles, in order to keep the overlap regions up to date (see section  tiles, in order to keep the overlap regions up to date (see section
224  \ref{sec:communication_primitives}). The WRAPPER functions can use a  \ref{sect:communication_primitives}). The WRAPPER functions can use a
225  variety of different mechanisms to communicate data between tiles.  variety of different mechanisms to communicate data between tiles.
226    
227  \begin{figure}  \begin{figure}
# Line 298  value to be communicated between CPU's. Line 308  value to be communicated between CPU's.
308  \end{figure}  \end{figure}
309    
310  \subsection{Shared memory communication}  \subsection{Shared memory communication}
311  \label{sec:shared_memory_communication}  \label{sect:shared_memory_communication}
312    
313  Under shared communication independent CPU's are operating  Under shared communication independent CPU's are operating
314  on the exact same global address space at the application level.  on the exact same global address space at the application level.
# Line 324  the systems main-memory interconnect. Th Line 334  the systems main-memory interconnect. Th
334  communication very efficient provided it is used appropriately.  communication very efficient provided it is used appropriately.
335    
336  \subsubsection{Memory consistency}  \subsubsection{Memory consistency}
337  \label{sec:memory_consistency}  \label{sect:memory_consistency}
338    
339  When using shared memory communication between  When using shared memory communication between
340  multiple processors the WRAPPER level shields user applications from  multiple processors the WRAPPER level shields user applications from
# Line 348  memory, the WRAPPER provides a place to Line 358  memory, the WRAPPER provides a place to
358  ensure memory consistency for a particular platform.  ensure memory consistency for a particular platform.
359    
360  \subsubsection{Cache effects and false sharing}  \subsubsection{Cache effects and false sharing}
361  \label{sec:cache_effects_and_false_sharing}  \label{sect:cache_effects_and_false_sharing}
362    
363  Shared-memory machines often have local to processor memory caches  Shared-memory machines often have local to processor memory caches
364  which contain mirrored copies of main memory. Automatic cache-coherence  which contain mirrored copies of main memory. Automatic cache-coherence
# Line 367  in an application are potentially visibl Line 377  in an application are potentially visibl
377  threads operating within a single process is the standard mechanism for  threads operating within a single process is the standard mechanism for
378  supporting shared memory that the WRAPPER utilizes. Configuring and launching  supporting shared memory that the WRAPPER utilizes. Configuring and launching
379  code to run in multi-threaded mode on specific platforms is discussed in  code to run in multi-threaded mode on specific platforms is discussed in
380  section \ref{sec:running_with_threads}.  However, on many systems, potentially  section \ref{sect:running_with_threads}.  However, on many systems, potentially
381  very efficient mechanisms for using shared memory communication between  very efficient mechanisms for using shared memory communication between
382  multiple processes (in contrast to multiple threads within a single  multiple processes (in contrast to multiple threads within a single
383  process) also exist. In most cases this works by making a limited region of  process) also exist. In most cases this works by making a limited region of
# Line 380  distributed with the default WRAPPER sou Line 390  distributed with the default WRAPPER sou
390  nature.  nature.
391    
392  \subsection{Distributed memory communication}  \subsection{Distributed memory communication}
393  \label{sec:distributed_memory_communication}  \label{sect:distributed_memory_communication}
394  Many parallel systems are not constructed in a way where it is  Many parallel systems are not constructed in a way where it is
395  possible or practical for an application to use shared memory  possible or practical for an application to use shared memory
396  for communication. For example cluster systems consist of individual computers  for communication. For example cluster systems consist of individual computers
# Line 394  described in \ref{hoe-hill:99} substitut Line 404  described in \ref{hoe-hill:99} substitut
404  highly optimized library.  highly optimized library.
405    
406  \subsection{Communication primitives}  \subsection{Communication primitives}
407  \label{sec:communication_primitives}  \label{sect:communication_primitives}
408    
409  \begin{figure}  \begin{figure}
410  \begin{center}  \begin{center}
# Line 538  WRAPPER are Line 548  WRAPPER are
548  computing CPU's.  computing CPU's.
549  \end{enumerate}  \end{enumerate}
550  This section describes the details of each of these operations.  This section describes the details of each of these operations.
551  Section \ref{sec:specifying_a_decomposition} explains how the way in which  Section \ref{sect:specifying_a_decomposition} explains how the way in which
552  a domain is decomposed (or composed) is expressed. Section  a domain is decomposed (or composed) is expressed. Section
553  \ref{sec:starting_a_code} describes practical details of running codes  \ref{sect:starting_a_code} describes practical details of running codes
554  in various different parallel modes on contemporary computer systems.  in various different parallel modes on contemporary computer systems.
555  Section \ref{sec:controlling_communication} explains the internal information  Section \ref{sect:controlling_communication} explains the internal information
556  that the WRAPPER uses to control how information is communicated between  that the WRAPPER uses to control how information is communicated between
557  tiles.  tiles.
558    
559  \subsection{Specifying a domain decomposition}  \subsection{Specifying a domain decomposition}
560  \label{sec:specifying_a_decomposition}  \label{sect:specifying_a_decomposition}
561    
562  At its heart much of the WRAPPER works only in terms of a collection of tiles  At its heart much of the WRAPPER works only in terms of a collection of tiles
563  which are interconnected to each other. This is also true of application  which are interconnected to each other. This is also true of application
# Line 599  be created within a single process. Each Line 609  be created within a single process. Each
609  dimensions of {\em sNx} and {\em sNy}. If, when the code is executed, these tiles are  dimensions of {\em sNx} and {\em sNy}. If, when the code is executed, these tiles are
610  allocated to different threads of a process that are then bound to  allocated to different threads of a process that are then bound to
611  different physical processors ( see the multi-threaded  different physical processors ( see the multi-threaded
612  execution discussion in section \ref{sec:starting_the_code} ) then  execution discussion in section \ref{sect:starting_the_code} ) then
613  computation will be performed concurrently on each tile. However, it is also  computation will be performed concurrently on each tile. However, it is also
614  possible to run the same decomposition within a process running a single thread on  possible to run the same decomposition within a process running a single thread on
615  a single processor. In this case the tiles will be computed over sequentially.  a single processor. In this case the tiles will be computed over sequentially.
# Line 651  Within a {\em bi}, {\em bj} loop Line 661  Within a {\em bi}, {\em bj} loop
661  computation is performed concurrently over as many processes and threads  computation is performed concurrently over as many processes and threads
662  as there are physical processors available to compute.  as there are physical processors available to compute.
663    
664    An exception to the the use of {\em bi} and {\em bj} in loops arises in the
665    exchange routines used when the exch2 package is used with the cubed
666    sphere.  In this case {\em bj} is generally set to 1 and the loop runs from
667    1,{\em bi}.  Within the loop {\em bi} is used to retrieve the tile number,
668    which is then used to reference exchange parameters.
669    
670  The amount of computation that can be embedded  The amount of computation that can be embedded
671  a single loop over {\em bi} and {\em bj} varies for different parts of the  a single loop over {\em bi} and {\em bj} varies for different parts of the
672  MITgcm algorithm. Figure \ref{fig:bibj_extract} shows a code extract  MITgcm algorithm. Figure \ref{fig:bibj_extract} shows a code extract
# Line 771  The global domain size is again ninety g Line 787  The global domain size is again ninety g
787  forty grid points in y. The two sub-domains in each process will be computed  forty grid points in y. The two sub-domains in each process will be computed
788  sequentially if they are given to a single thread within a single process.  sequentially if they are given to a single thread within a single process.
789  Alternatively if the code is invoked with multiple threads per process  Alternatively if the code is invoked with multiple threads per process
790  the two domains in y may be computed on concurrently.  the two domains in y may be computed concurrently.
791  \item  \item
792  \begin{verbatim}  \begin{verbatim}
793        PARAMETER (        PARAMETER (
# Line 790  There are six tiles allocated to six sep Line 806  There are six tiles allocated to six sep
806  This set of values can be used for a cube sphere calculation.  This set of values can be used for a cube sphere calculation.
807  Each tile of size $32 \times 32$ represents a face of the  Each tile of size $32 \times 32$ represents a face of the
808  cube. Initializing the tile connectivity correctly ( see section  cube. Initializing the tile connectivity correctly ( see section
809  \ref{sec:cube_sphere_communication}. allows the rotations associated with  \ref{sect:cube_sphere_communication}. allows the rotations associated with
810  moving between the six cube faces to be embedded within the  moving between the six cube faces to be embedded within the
811  tile-tile communication code.  tile-tile communication code.
812  \end{enumerate}  \end{enumerate}
813    
814    
815  \subsection{Starting the code}  \subsection{Starting the code}
816  \label{sec:starting_the_code}  \label{sect:starting_the_code}
817  When code is started under the WRAPPER, execution begins in a main routine {\em  When code is started under the WRAPPER, execution begins in a main routine {\em
818  eesupp/src/main.F} that is owned by the WRAPPER. Control is transferred  eesupp/src/main.F} that is owned by the WRAPPER. Control is transferred
819  to the application through a routine called {\em THE\_MODEL\_MAIN()}  to the application through a routine called {\em THE\_MODEL\_MAIN()}
# Line 807  by the application code. The startup cal Line 823  by the application code. The startup cal
823  WRAPPER is shown in figure \ref{fig:wrapper_startup}.  WRAPPER is shown in figure \ref{fig:wrapper_startup}.
824    
825  \begin{figure}  \begin{figure}
826    {\footnotesize
827  \begin{verbatim}  \begin{verbatim}
828    
829         MAIN           MAIN  
# Line 835  WRAPPER is shown in figure \ref{fig:wrap Line 852  WRAPPER is shown in figure \ref{fig:wrap
852    
853    
854  \end{verbatim}  \end{verbatim}
855    }
856  \caption{Main stages of the WRAPPER startup procedure.  \caption{Main stages of the WRAPPER startup procedure.
857  This process proceeds transfer of control to application code, which  This process proceeds transfer of control to application code, which
858  occurs through the procedure {\em THE\_MODEL\_MAIN()}.  occurs through the procedure {\em THE\_MODEL\_MAIN()}.
# Line 842  occurs through the procedure {\em THE\_M Line 860  occurs through the procedure {\em THE\_M
860  \end{figure}  \end{figure}
861    
862  \subsubsection{Multi-threaded execution}  \subsubsection{Multi-threaded execution}
863  \label{sec:multi-threaded-execution}  \label{sect:multi-threaded-execution}
864  Prior to transferring control to the procedure {\em THE\_MODEL\_MAIN()} the  Prior to transferring control to the procedure {\em THE\_MODEL\_MAIN()} the
865  WRAPPER may cause several coarse grain threads to be initialized. The routine  WRAPPER may cause several coarse grain threads to be initialized. The routine
866  {\em THE\_MODEL\_MAIN()} is called once for each thread and is passed a single  {\em THE\_MODEL\_MAIN()} is called once for each thread and is passed a single
867  stack argument which is the thread number, stored in the  stack argument which is the thread number, stored in the
868  variable {\em myThid}. In addition to specifying a decomposition with  variable {\em myThid}. In addition to specifying a decomposition with
869  multiple tiles per process ( see section \ref{sec:specifying_a_decomposition})  multiple tiles per process ( see section \ref{sect:specifying_a_decomposition})
870  configuring and starting a code to run using multiple threads requires the following  configuring and starting a code to run using multiple threads requires the following
871  steps.\\  steps.\\
872    
# Line 917  File: {\em eesupp/inc/MAIN\_PDIRECTIVES1 Line 935  File: {\em eesupp/inc/MAIN\_PDIRECTIVES1
935  File: {\em eesupp/inc/MAIN\_PDIRECTIVES2.h}\\  File: {\em eesupp/inc/MAIN\_PDIRECTIVES2.h}\\
936  File: {\em model/src/THE\_MODEL\_MAIN.F}\\  File: {\em model/src/THE\_MODEL\_MAIN.F}\\
937  File: {\em eesupp/src/MAIN.F}\\  File: {\em eesupp/src/MAIN.F}\\
938  File: {\em tools/genmake}\\  File: {\em tools/genmake2}\\
939  File: {\em eedata}\\  File: {\em eedata}\\
940  CPP:  {\em TARGET\_SUN}\\  CPP:  {\em TARGET\_SUN}\\
941  CPP:  {\em TARGET\_DEC}\\  CPP:  {\em TARGET\_DEC}\\
# Line 930  Parameter:  {\em nTy} Line 948  Parameter:  {\em nTy}
948  } \\  } \\
949    
950  \subsubsection{Multi-process execution}  \subsubsection{Multi-process execution}
951  \label{sec:multi-process-execution}  \label{sect:multi-process-execution}
952    
953  Despite its appealing programming model, multi-threaded execution remains  Despite its appealing programming model, multi-threaded execution remains
954  less common then multi-process execution. One major reason for this  less common then multi-process execution. One major reason for this
# Line 942  models varies between systems. Line 960  models varies between systems.
960    
961  Multi-process execution is more ubiquitous.  Multi-process execution is more ubiquitous.
962  In order to run code in a multi-process configuration a decomposition  In order to run code in a multi-process configuration a decomposition
963  specification ( see section \ref{sec:specifying_a_decomposition})  specification ( see section \ref{sect:specifying_a_decomposition})
964  is given ( in which the at least one of the  is given ( in which the at least one of the
965  parameters {\em nPx} or {\em nPy} will be greater than one)  parameters {\em nPx} or {\em nPy} will be greater than one)
966  and then, as for multi-threaded operation,  and then, as for multi-threaded operation,
# Line 972  Parameter:  {\em nPy} Line 990  Parameter:  {\em nPy}
990    
991  Additionally, compile time options are required to link in the  Additionally, compile time options are required to link in the
992  MPI libraries and header files. Examples of these options  MPI libraries and header files. Examples of these options
993  can be found in the {\em genmake} script that creates makefiles  can be found in the {\em genmake2} script that creates makefiles
994  for compilation. When this script is executed with the {bf -mpi}  for compilation. When this script is executed with the {bf -mpi}
995  flag it will generate a makefile that includes  flag it will generate a makefile that includes
996  paths for search for MPI head files and for linking in  paths for search for MPI head files and for linking in
# Line 994  local configuration of your system.\\ Line 1012  local configuration of your system.\\
1012    
1013  \fbox{  \fbox{
1014  \begin{minipage}{4.75in}  \begin{minipage}{4.75in}
1015  File: {\em tools/genmake}  File: {\em tools/genmake2}
1016  \end{minipage}  \end{minipage}
1017  } \\  } \\
1018  \paragraph{\bf Execution} The mechanics of starting a program in  \paragraph{\bf Execution} The mechanics of starting a program in
# Line 1112  A value of {\em COMM\_NONE} is used to i Line 1130  A value of {\em COMM\_NONE} is used to i
1130  neighbor to communicate with on a particular face. A value  neighbor to communicate with on a particular face. A value
1131  of {\em COMM\_MSG} is used to indicated that some form of distributed  of {\em COMM\_MSG} is used to indicated that some form of distributed
1132  memory communication is required to communicate between  memory communication is required to communicate between
1133  these tile faces ( see section \ref{sec:distributed_memory_communication}).  these tile faces ( see section \ref{sect:distributed_memory_communication}).
1134  A value of {\em COMM\_PUT} or {\em COMM\_GET} is used to indicate  A value of {\em COMM\_PUT} or {\em COMM\_GET} is used to indicate
1135  forms of shared memory communication ( see section  forms of shared memory communication ( see section
1136  \ref{sec:shared_memory_communication}). The {\em COMM\_PUT} value indicates  \ref{sect:shared_memory_communication}). The {\em COMM\_PUT} value indicates
1137  that a CPU should communicate by writing to data structures owned by another  that a CPU should communicate by writing to data structures owned by another
1138  CPU. A {\em COMM\_GET} value indicates that a CPU should communicate by reading  CPU. A {\em COMM\_GET} value indicates that a CPU should communicate by reading
1139  from data structures owned by another CPU. These flags affect the behavior  from data structures owned by another CPU. These flags affect the behavior
# Line 1166  the product of the parameters {\em nTx} Line 1184  the product of the parameters {\em nTx}
1184  are read from the file {\em eedata}. If the value of {\em nThreads}  are read from the file {\em eedata}. If the value of {\em nThreads}
1185  is inconsistent with the number of threads requested from the  is inconsistent with the number of threads requested from the
1186  operating system (for example by using an environment  operating system (for example by using an environment
1187  variable as described in section \ref{sec:multi_threaded_execution})  variable as described in section \ref{sect:multi_threaded_execution})
1188  then usually an error will be reported by the routine  then usually an error will be reported by the routine
1189  {\em CHECK\_THREADS}.\\  {\em CHECK\_THREADS}.\\
1190    
# Line 1184  Parameter: {\em nTy} \\ Line 1202  Parameter: {\em nTy} \\
1202  }  }
1203    
1204  \item {\bf memsync flags}  \item {\bf memsync flags}
1205  As discussed in section \ref{sec:memory_consistency}, when using shared memory,  As discussed in section \ref{sect:memory_consistency}, when using shared memory,
1206  a low-level system function may be need to force memory consistency.  a low-level system function may be need to force memory consistency.
1207  The routine {\em MEMSYNC()} is used for this purpose. This routine should  The routine {\em MEMSYNC()} is used for this purpose. This routine should
1208  not need modifying and the information below is only provided for  not need modifying and the information below is only provided for
# Line 1210  asm("lock; addl $0,0(%%esp)": : :"memory Line 1228  asm("lock; addl $0,0(%%esp)": : :"memory
1228  \end{verbatim}  \end{verbatim}
1229    
1230  \item {\bf Cache line size}  \item {\bf Cache line size}
1231  As discussed in section \ref{sec:cache_effects_and_false_sharing},  As discussed in section \ref{sect:cache_effects_and_false_sharing},
1232  milti-threaded codes explicitly avoid penalties associated with excessive  milti-threaded codes explicitly avoid penalties associated with excessive
1233  coherence traffic on an SMP system. To do this the shared memory data structures  coherence traffic on an SMP system. To do this the shared memory data structures
1234  used by the {\em GLOBAL\_SUM}, {\em GLOBAL\_MAX} and {\em BARRIER} routines  used by the {\em GLOBAL\_SUM}, {\em GLOBAL\_MAX} and {\em BARRIER} routines
# Line 1238  or {\em GLOBAL\_SUM\_R4()} (for 32-bit f Line 1256  or {\em GLOBAL\_SUM\_R4()} (for 32-bit f
1256  setting for the \_GSUM macro is given in the file {\em CPP\_EEMACROS.h}.  setting for the \_GSUM macro is given in the file {\em CPP\_EEMACROS.h}.
1257  The \_GSUM macro is a performance critical operation, especially for  The \_GSUM macro is a performance critical operation, especially for
1258  large processor count, small tile size configurations.  large processor count, small tile size configurations.
1259  The custom communication example discussed in section \ref{sec:jam_example}  The custom communication example discussed in section \ref{sect:jam_example}
1260  shows how the macro is used to invoke a custom global sum routine  shows how the macro is used to invoke a custom global sum routine
1261  for a specific set of hardware.  for a specific set of hardware.
1262    
# Line 1252  physical fields and whether fields are 3 Line 1270  physical fields and whether fields are 3
1270  in the header file {\em CPP\_EEMACROS.h}. As with \_GSUM, the  in the header file {\em CPP\_EEMACROS.h}. As with \_GSUM, the
1271  \_EXCH operation plays a crucial role in scaling to small tile,  \_EXCH operation plays a crucial role in scaling to small tile,
1272  large logical and physical processor count configurations.  large logical and physical processor count configurations.
1273  The example in section \ref{sec:jam_example} discusses defining an  The example in section \ref{sect:jam_example} discusses defining an
1274  optimized and specialized form on the \_EXCH operation.  optimized and specialized form on the \_EXCH operation.
1275    
1276  The \_EXCH operation is also central to supporting grids such as  The \_EXCH operation is also central to supporting grids such as
# Line 1292  This can be achieved using a Fortran 90 Line 1310  This can be achieved using a Fortran 90
1310  if this might be unavailable then the work arrays can be extended  if this might be unavailable then the work arrays can be extended
1311  with dimensions use the tile dimensioning scheme of {\em nSx}  with dimensions use the tile dimensioning scheme of {\em nSx}
1312  and {\em nSy} ( as described in section  and {\em nSy} ( as described in section
1313  \ref{sec:specifying_a_decomposition}). However, if the configuration  \ref{sect:specifying_a_decomposition}). However, if the configuration
1314  being specified involves many more tiles than OS threads then  being specified involves many more tiles than OS threads then
1315  it can save memory resources to reduce the variable  it can save memory resources to reduce the variable
1316  {\em MAX\_NO\_THREADS} to be equal to the actual number of threads that  {\em MAX\_NO\_THREADS} to be equal to the actual number of threads that
# Line 1351  Here we show how it can be used to impro Line 1369  Here we show how it can be used to impro
1369  how it can be used to adapt to new griding approaches.  how it can be used to adapt to new griding approaches.
1370    
1371  \subsubsection{JAM example}  \subsubsection{JAM example}
1372  \label{sec:jam_example}  \label{sect:jam_example}
1373  On some platforms a big performance boost can be obtained by  On some platforms a big performance boost can be obtained by
1374  binding the communication routines {\em \_EXCH} and  binding the communication routines {\em \_EXCH} and
1375  {\em \_GSUM} to specialized native libraries ) fro example the  {\em \_GSUM} to specialized native libraries ) fro example the
# Line 1374  Developing specialized code for other li Line 1392  Developing specialized code for other li
1392  pattern.  pattern.
1393    
1394  \subsubsection{Cube sphere communication}  \subsubsection{Cube sphere communication}
1395  \label{sec:cube_sphere_communication}  \label{sect:cube_sphere_communication}
1396  Actual {\em \_EXCH} routine code is generated automatically from  Actual {\em \_EXCH} routine code is generated automatically from
1397  a series of template files, for example {\em exch\_rx.template}.  a series of template files, for example {\em exch\_rx.template}.
1398  This is done to allow a large number of variations on the exchange  This is done to allow a large number of variations on the exchange
# Line 1407  quantities at the C-grid vorticity point Line 1425  quantities at the C-grid vorticity point
1425    
1426  Fitting together the WRAPPER elements, package elements and  Fitting together the WRAPPER elements, package elements and
1427  MITgcm core equation elements of the source code produces calling  MITgcm core equation elements of the source code produces calling
1428  sequence shown in section \ref{sec:calling_sequence}  sequence shown in section \ref{sect:calling_sequence}
1429    
1430  \subsection{Annotated call tree for MITgcm and WRAPPER}  \subsection{Annotated call tree for MITgcm and WRAPPER}
1431  \label{sec:calling_sequence}  \label{sect:calling_sequence}
1432    
1433  WRAPPER layer.  WRAPPER layer.
1434    
1435    {\footnotesize
1436  \begin{verbatim}  \begin{verbatim}
1437    
1438         MAIN           MAIN  
# Line 1441  WRAPPER layer. Line 1460  WRAPPER layer.
1460         |--THE_MODEL_MAIN   :: Numerical code top-level driver routine         |--THE_MODEL_MAIN   :: Numerical code top-level driver routine
1461    
1462  \end{verbatim}  \end{verbatim}
1463    }
1464    
1465  Core equations plus packages.  Core equations plus packages.
1466    
1467    {\footnotesize
1468  \begin{verbatim}  \begin{verbatim}
1469  C  C
1470  C  C
# Line 1782  C    |-COMM_STATS     :: Summarise inter Line 1803  C    |-COMM_STATS     :: Summarise inter
1803  C                     :: events.  C                     :: events.
1804  C  C
1805  \end{verbatim}  \end{verbatim}
1806    }
1807    
1808  \subsection{Measuring and Characterizing Performance}  \subsection{Measuring and Characterizing Performance}
1809    

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