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# Computing PI with OpenMP | ||
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This is a simple example of how to use OpenMP with fpm. | ||
It is an adapted version of the OpenMP example that can be found | ||
[here](https://github.com/gjbex/Fortran-MOOC/blob/master/source_code/computing_pi/compute_pi_omp.f90) under a | ||
[CC-BY-4.0](https://github.com/gjbex/Fortran-MOOC/blob/master/LICENSE) license. | ||
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The code approximates the value of PI by performing parallelized numerical | ||
integration over a quarter of the unit circle. | ||
The code is structured as follows: | ||
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```{literalinclude} ../../src/how-to/copmute-pi-openmp/app/main.f90 | ||
:language: fortran | ||
:caption: app/main.f90 | ||
``` | ||
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## Using OpenMP as a dependency | ||
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To use OpenMP in your project, you need to add the `openmp` dependency to your `fpm.toml` file: | ||
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```{literalinclude} ../../src/how-to/copmute-pi-openmp/fpm.toml | ||
:language: toml | ||
:caption: fpm.toml | ||
:emphasize-lines: 4-5 | ||
``` | ||
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OpenMP is a _built-in dependency_ (i.e. metapackage), which means the above | ||
syntax needs to be used. To find out more about metapackages, see [](../spec/metapackages). | ||
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## Building and running the code | ||
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To build and run the code, one can use the following commands: | ||
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```{code-block} text | ||
❯ fpm run | ||
Project is up to date | ||
Iterations: 10000, PI: 3.141391477611324 | ||
Took: 0.092s, with absolute error: 2.0E-04 | ||
``` | ||
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And increasing the number of iterations for the approximation while | ||
simultaneously enabling compiler optimizations with `--profile-release` | ||
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```{code-block} text | ||
❯ fpm run --profile-release -- 1000000000 | ||
main.f90 done. | ||
compute-pi-openmp done. | ||
[100%] Project compiled successfully. | ||
Iterations: 1000000000, PI: 3.141592651589789 | ||
Took: 3.511s, with absolute error: 2.0E-09 | ||
``` |
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program compute_pi_openmp | ||
use, intrinsic :: iso_fortran_env, only: dp => real64, i8 => int64, real128 | ||
implicit none | ||
integer(kind=i8) :: i, n_iterations | ||
real(kind=dp) :: delta, x, pi | ||
real(kind=dp) :: start, end | ||
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pi = 0.0_dp | ||
n_iterations = get_iterations(10000_i8) | ||
delta = 1.0_dp / n_iterations | ||
x = 0.0_dp | ||
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call cpu_time(start) | ||
!$omp parallel do default(none) private(x) shared(delta, n_iterations) reduction(+:pi) | ||
do i = 1, n_iterations | ||
x = i * delta | ||
pi = pi + sqrt(1.0_dp - x**2) | ||
end do | ||
!$omp end parallel do | ||
call cpu_time(end) | ||
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pi = 4.0_dp * pi / n_iterations | ||
print "(A, I16, A, F25.15)", "Iterations: ", n_iterations, ", PI: ", pi | ||
print "(A, F8.3, A, ES8.1)", "Took: ", end - start, "s, with absolute error: ", acos(-1.0_real128) - pi | ||
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contains | ||
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integer(i8) function get_iterations(default_iterations) | ||
integer(kind=i8), intent(in) :: default_iterations | ||
character(len=100) :: buffer, msg | ||
integer :: stat | ||
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get_iterations = default_iterations | ||
if (command_argument_count() >= 1) then | ||
call get_command_argument(1, buffer) | ||
read (buffer, fmt=*, iostat=stat, iomsg=msg) get_iterations | ||
if (stat /= 0) stop msg | ||
end if | ||
end function get_iterations | ||
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end program compute_pi_openmp |
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name = "compute-pi-openmp" | ||
version = "0.1.0" | ||
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[dependencies] | ||
openmp = "*" | ||
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[[executable]] | ||
name = "compute-pi-openmp" |