HowTo:fortran

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Fortran (Programming Language)

FORTRAN, C, and C++ have a long history as the basic/main compiled languages for high performance computing. The key parallel computing packages, MPI and OpenMP, have been implemented in all of them from the beginning. While C and C++ have been extended for all programming purposes, FORTRAN originated from FORmular TRANslation, and developed with an emphasis on scientific computing. After the FORTRAN I-IV, 66, and 77 stages, the FORTRAN 90, 95, 2003, 2008, and 2015 versions have adopted many advanced features to become a true modern (object oriented) programming language, especially geared toward scientific computations. The following lists some of the most useful and prominent programming features of FORTRAN.

Well Structured

FORTRAN is very well structured. All routines should have a clear beginning statement, and a corresponding ending one. For example (since case-in-sensitiveness, usually written in either lower or upper case only)

PROGRAM MY_VERY_USEFUL_CODE
...
CALL PROBLEM_SOLVING (...)
...
STOP
END PROGRAM MY_VERY_USEFUL_CODE

SUBROUTINE PROBLEM_SOLVING (...)
...
RESULT = AVERAGE_SCORE (...)
RETURN
END SUBROUTINE PROBLEM_SOLVING

FUNCTION  AVERAGE_SCORE (...)
...
RETURN
END FUNCTION AVERAGE_SCORE

The DO loop and IF structure are also finished with an END statement.

DO I = ISTART, IEND
    ...
END DO

IF (CONDITION)
    ...
ELSE
    ...
END IF

Using MPI

MPI is a set of subroutines which are used explicitly to communicate between processes. As such, MPI programs are truly "multi-processing". Parallelisation can not be done automatically or semi-automatically as in "multi-threading" programs. Instead, function and subroutine calls have to be inserted into the code and form an integral part of the program. Often it is beneficial to alter the algorithm of the code with respect to the serial version.

The need to include the parallelism explicitly in the program is both a curse and a blessing: while it means more work and requires more planning than multi-threading, it also often leads to more reliable and scalable code since the behaviour of the latter is in the hands of the programmer. Well-written MPI codes can be made to scale for thousands of CPUs.

To create an MPI program, you need to:

  • Include appropriate header files for the definitions of variables and data structures. These are called mpif.h, mpi.h, and mpi++.h for Fortran, C, and C++, respectively.
  • Program the communication between processes in the form of calls to the MPI communication routines. These are commonly of the form MPI_* for Fortran and C, and MPI::* for C++.
  • Bind in the proper libraries at the linking stage of program compilation. This is usually done with the -lmpi option of the compiler/linker.
  • MPI programs also usually need a special runtime environment to be executed properly. This is commonly supplied by the machine vendor and is machine specific.

An Example

The working principle of MPI is perhaps best illustrated on the grounds of a programming example. The following program, written in Fortran 90 computes the sum of all square-roots of integers from 0 up to a specific limit m:

 module mpi 
  include 'mpif.h' 
 end module mpi 

 module cpuids 
  integer::myid,totps, ierr 
 end module cpuids 

 program example02 
  use mpi 
  use cpuids 
  call mpiinit 
  call demo02 
  call mpi_finalize(ierr) 
  stop 
 end 

 subroutine mpiinit 
  use mpi
  use cpuids 
  call mpi_init( ierr ) 
  call mpi_comm_rank(mpi_comm_world,myid,ierr) 
  call mpi_comm_size(mpi_comm_world,totps,ierr) 
  return 
 end 

 subroutine demo02 
  use mpi 
  use cpuids 
  integer:: m, i 
  real*8 :: s, mys 
  if(myid.eq.0) then 
   write(*,*)'how many terms?' 
   read(*,*) m 
  end if 
  call mpi_bcast(m,1,mpi_integer,0,mpi_comm_world,ierr) 
  mys=0.0d0 
  do i=myid,m,totps 
   mys=mys+dsqrt(dfloat(i)) 
  end do 
  write(*,*)'rank:', myid,'mys=',mys, ' m:',m 
  s=0.0d0 
  call mpi_reduce(mys,s,1,mpi_real8,mpi_sum,0,mpi_comm_world,ierr) 
  if(myid.eq.0) then 
   write(*,*)'total sum: ', s 
  end if 
  return 
 end 

Some of the common tasks that need to be performed in every MPI program are done in the subroutine mpiinit in this program. Namely, we need to call the routine mpi_init to prepare the usage of MPI. This has to be done before any other MPI routine is called. The two routine calls to mpi_comm_size and call mpi_comm_rank determine how many processes are running and what is the unique ID number of the present, i.e. the calling process. Both pieces of information are essential. The results are stored in the variables totps and myid, respectively. Note that these variables appear in a module cpuids so that they may be accessed from all routines that "use" that module.

The main work in the example is done in the subroutine demo02. Note that this routine does use the module cpuids. The first operation is to determine the maximum integer m in the sum by requesting input from the user. The if-clause if(myid.eq.0) then serves to restrict this I/O operation to only one process, the so-called "root process", usually chosen to be the one with rank (i.e. unique ID number) zero.

After this initial operation, communication has become necessary, since only one process has the right value of m. This is done by a call to the MPI collective operation routine mpi_bcast. This call has the effect of "broadcasting" the integer m. This call needs to be made by all processes, and after they have done so, all of them know m.

The sum over the square root is then executed on each process in a slightly different manner. Each term is added to a local variable mys. A stride of totps (the number of processes) in the do-loop ensures that each process adds different terms to its local sum, by skipping all others. For instance, if there are 10 processes, process 0 will add the square-roots of 0,10,20,30,..., while process 7 will add the square-roots of 7,17,27,37,...

After the sums have been completed, further communication is necessary, since each process only has computed a partial, local sum. We need to collect these local sums into one total, and we do so by calling mpi_reduce. The effect of this call is to "reduce" a value local to each process to a variable that is local to only one process, usually the root process. We can do this in various ways, but in our case we choose to sum the values up by specifying mpi_sum in the function call. Afterwards, the total sum resides in the variable s, which is printed out by the root process.

The last operation done in our example is finalizing MPI usage by a call to mpi_finalize, which is necessary for proper program completion.

In this simple example, we have distributed the tasks of computing many square roots among processes, each of which only did a part of the work. We used communication to exchange information about the tasks that needed to be performed, and to collect results. This mode of programming is called "task parallel". Often it is necessary to distribute large amounts of data among processes as well, leading to "data parallel" programs. Of course, the distinction is not always clear.

Implementations

While MPI itself is a portable, platform independent standard, much like a programming language, the actual implementation is necessarily platform dependent since it has to take into account the architecture of the machine or cluster in question.

The most commonly used implementation of MPI for the Linux platform is called OpenMPI. The following considerations will be focussed on this implementation.

Our machines are small to mid-sized shared-memory machines that form a cluster. Since the interconnect between the individual nodes is a bottleneck in efficient program execution, most of the MPI programs running on our machines are executed within a node. This alloows processes to commuincate rapidly through a so-called "shared-memory layer". Our cluster is configured in to preferably schedule processes within a single node.

Currently, two versions of the OpenMPI parallel environment are in common use:

  • For the Intel compiler suite, an Intel implementation of OpenMPI is automatically available when setting up the compiler suite with the
    use icsmpi
    command.
  • For the gnu compiler, OpenMPI is made available through the
    use openmpi
    setup command.

We do not recommend to have both versions set up simultaneously.

Compiling MPI code

The compilation of MPI programs requires a few compiler options to direct the compiler to the location of header files and libraries. Since these switches are always the same, they have been collected in a macro to avoid unnecessary typing. The macro is has an mpi prefix before the normal compiler name. The commands are mpiifort for the Intel Fortran compiler, mpiicc for the gnu C compilers, respectively. For instance, if a serial C program is compiled by

gcc -O3 -c test.c

the corresponding parallel (MPI) program is compiled (using gnu compiler) by

mpicc -xO3 -c test_mpi.c

In the linking stage, the usage of mpi* macros also includes the proper specification of the MPI libraries. For example, the above MPI program should be linked with something like this:

mpicc -o test_mpi.exe test_mpi.o

Compiling and linking may also be combined by omitting the -c option and including the naming option (-o) in the compilation line.

Here are the corresponding MPI macros for the 6 commonly used compilers on our systems:

Language Intel gnu
Fortran mpiifort mpif77, mpif90, mpifort
C mpiicc mpicc
C++ mpiicc, mpiicpc mpicxx

Running MPI programs

To run MPI programs, a special Runtime Environment is required. This includes commands for the control of multi-process jobs.

mpirun is used to start a multi-process run of a program. This required to run MPI programs. The most commonly used command line option is -np to specify the number of processes to be started. For instance, the following line will start the program test_mpi.exe with 9 processes:

mpirun -np 9 test_mpi.exe

The mpirun command offers additional options that are sometimes useful or required. Most tend to interfere with the scheduling of jobs in a multi-user environment such as ours and should be used with caution. Please consult the man pages for details.

Note that the usage of a scheduler is mandatory for production jobs on our system. This option is therefore used frequently. For a details about Gridengine and jobs submission on our machines and clusters, go here.

More Information

As already pointed out, this FAQ is not an introduction to MPI programming. The standard reference text on MPI is:

Marc Snir, Steve Otto, Steven Huss-Lederman, David Walker, and Jack Dongarra:
MPI - The Complete Reference (2nd edition), The MIT Press, Cambridge, Massachusetts, 2000;
2 volumes, ISBN 0-262-69215-5 and 0-262-69213-3

This text specifies all MPI routines and concepts, and includes a large number of examples. Most people will find it sufficient for all their needs.

A quite good online tutorial for MPI programming can be found at the Maui HPCC site.

There is also an official MPI webpage which contains the standards documents for MPI and gives access to the MPI Forum.

We are conducting Workshops on a regular basis, some devoted to MPI programming. They are announced on our web site. We might see you there sometime soon.

Some Tools

Standard debugging and profiling tools such as Sun Studio are designed for serial or multi-threaded programs. They do not handle multi-process runs very well.

Quite often, the best way to check the performance of an MPI program is timing it by insertion of suitable routines. MPI supplies a "wall-clock" routine called MPI_WTIME(), that lets you determine how much actual time was spent in a specific segment of your code. An other method is calling the subroutines ETIME and DTIME, which can give you information about the actual CPU time used. However, it is advisable to carefully read the documentation before using them with MPI programs. In this case, refer to the Sun Studio 12: Fortran Library Reference.

We also provide a package called the HPCVL Working Template (HWT), which was created by Gang Liu. The HWT provides 3 main functionalities:

  • Maintenance of multiple versions of the same code from a single source file. This is very useful, if your MPI code is based on a serial code that you want to convert.
  • Automatic Relative Debugging which allows you to use pre-existing code (for example the serial version of your program) as a reference when checking the correctness of your MPI code.
  • Simple Timing which is needed to determine bottlenecks for parallelization, to optimize code, and to check its scaling properties.

The HWT is based on libraries and script files. It is easy to use and portable (written largely in Fortran). Fortran, C, C++, and any mixture thereof are supported, as well as MPI and OpenMP for parallelism. Documentation of the HWT is available. The package is installed on our clusters in /opt/hwt.

Help

Send email to cac.help@queensu.ca. We have scientific programmers on staff who will probably be able to help you out. Of course, we can't do the coding for you but we do our best to get your code ready for parallel machines and clusters.