# Introduction to MPI

This page gathers together resources for the Introduction to MPI course by MJ Rutter for the 2020 MPhil / CDT in the Centre for Scientific Computing. The copyright of the contents is held by its author, unless otherwise stated.

## Handout

## Example Materials

### The Beginning (lecture 2)

### More Quadrature (lecture 3)

`gsl.c`GSL quadrature, serial`gsl_mpi.c`GSL quadrature, MPI`square.c`pi/4, serial (or`square.f90`)`square_mpi.c`pi/4, MPI (or`square_mpi.f90`)`int1_gather.c`(or`int1_gather.cc`) trivial integration plus MPI_Gather`nag_mpi.f90`similar to`gsl_mpi.c`but using Fortran and NAG

### Mandelbrot Set (lecture 4)

`mandel.c`Mandelbrot, serial`mandel_mpi.c`Mandelbrot, MPI (or`mandel_mpi.cc`)`mandel_mpi_io.c`Mandelbrot, MPI, I/O on rank zero`mandel_mpi_io_pp.c`Mandelbrot, MPI, I/O on rank zero, point to point`mandel_mpi_ms.c`Mandelbrot, MPI, master-slave (or`mandel_mpi_ms.cc`)

Some prefer to see examples in Fortran, and, for them,
`mandel_mpi.f90` is provided. This uses
`mpi_gather` to collect the whole array onto the root process
before writing it out. It uses stream I/O (introduced in Fortran 2003).
It could be modified to use the `inquire` statement and `pos`
option to the `write` statement in order to let each MPI process write
its own line, in a similar fashion to the C codes above.

As an extra example, combining MPI with GTK (with no proof that they
are compatible), `mgtk.c`. This is a master-slave
Mandelbrot set which displays its output via GTK. It is intended as
an MPI example, not an example of good MPI+GTK programming. One can readily
see idle slaves consuming CPU time in this example.

(One might well argue that modern computers are so fast that there is little reason to use the power of MPI for this problem, and even serial python codes such as this GTK3 python Mandelbrot set are quite fast enough. On the other hand, the MPI code presented here was used to produce a 31,500x10,500 pixel image of part of the Mandelbrot set with maxiter set to 2048. This was then printed at 300dpi to produce a poster for a school. An attempt to produce an image of this size using Mathematica's MandelbrotSetPlot function failed, whereas the MPI code succeeded on a much more modest computer.)

### Laplace's Equation (lecture 5)

`laplace.c`Laplace, serial`laplace.f90`ditto, Fortran`laplace_mpi.c`Laplace, MPI (or`laplace_mpi.cc`)`laplace_mpi_bsend.c`Laplace, MPI, Bsend`laplace_mpi_isend.c`Laplace, MPI, Isend`laplace_mpi_analytic.f90`Laplace, MPI, Isend, periodic boundary conditions and comparison with analytic result

### Miscellaneous (lecture 6)

### Communicators (lecture 7)

`comms.f90`synthetic example of reductions on matrix

### MPI-IO (lecture 7)

`hello_ordered.c``mandel_mpi-io.c`MPI_File_write_at`mandel_mpi-io.f90`ditto, Fortran`mandel_mpi-io_datatype.f90`(user defined datatype and file view to interleave rows)`mandel_mpi-io_datatype_v2.f90`(user defined datatype and file view to interleave pixels)

### Hardware (lecture 8)

`stream_mpi.f`Stream benchmark, Fortran, MPI, directly copied from Dr McAlpin's Stream website. You will also need a timer function such as`mysecond.f90``timer_test.f90`a possible solution to testing timer resolution