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! Copyright 2019 Wojciech Kosior
! This is free and unencumbered software released into the public domain.
! Anyone is free to copy, modify, publish, use, compile, sell, or
! distribute this software, either in source code form or as a compiled
! binary, for any purpose, commercial or non-commercial, and by any
! means.
! In jurisdictions that recognize copyright laws, the author or authors
! of this software dedicate any and all copyright interest in the
! software to the public domain. We make this dedication for the benefit
! of the public at large and to the detriment of our heirs and
! successors. We intend this dedication to be an overt act of
! relinquishment in perpetuity of all present and future rights to this
! software under copyright law.
! THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
! EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
! MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
! IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR
! OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
! ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
! OTHER DEALINGS IN THE SOFTWARE.
! For more information, please refer to <http://unlicense.org/>
PROGRAM test
use, intrinsic :: iso_c_binding
IMPLICIT none
INCLUDE 'fftw3.f03'
real(kind=8), parameter :: pi = acos(-1.0) ! also used from f1()
! rest of variables only used from "main" program code
integer, parameter :: npoints = 8192, ncomplex = npoints / 2 + 1
real(kind=8), parameter :: start = 0, end = 1
integer :: i
real(kind=8) :: t, &
delta = (end - start) / real(npoints - 1, C_DOUBLE)
real(kind=8) :: val, randvals(npoints)
type(C_PTR) :: p_real, p_complex, plan_f, plan_b ! forward,backward
real(C_DOUBLE), pointer :: arr_real(:)
complex(C_DOUBLE_COMPLEX), pointer :: arr_complex(:)
character(100) :: arg
logical :: which_fun
IF (command_argument_count() < 1) STOP "argument required"
call get_command_argument(1, arg)
IF (arg == "f1") THEN
which_fun = .true.
ELSE IF (arg == "f2") THEN
which_fun = .false.
call random_seed()
call random_number(randvals)
randvals = randvals / 50
ELSE
STOP "bad first argument (should be 'f1' or 'f2')"
END IF
IF (command_argument_count() < 2) THEN
DO i = 1, npoints
t = (i - 1) * delta + start
IF (which_fun) val = f1(t) ! f1
IF (.not. which_fun) THEN ! f2
val = f2(t) + randvals(i)
END IF
write(*,*) t, " ", val
END DO
STOP
END IF
call get_command_argument(2, arg)
IF ((trim(arg) /= "dft") .and. (trim(arg) /= "filtered")) &
STOP "bad second argument (should be 'dft' or 'filtered')"
p_real = fftw_alloc_real(int(npoints, C_SIZE_T))
p_complex = fftw_alloc_complex(int(ncomplex, C_SIZE_T))
call c_f_pointer(p_real, arr_real, [npoints])
call c_f_pointer(p_complex, arr_complex, [ncomplex])
plan_f = fftw_plan_dft_r2c_1d(int(npoints, C_INT), arr_real, &
arr_complex, FFTW_ESTIMATE)
plan_b = fftw_plan_dft_c2r_1d(int(npoints, C_INT), arr_complex,&
arr_real, FFTW_ESTIMATE)
IF (which_fun) THEN ! f1
arr_real = real(f1((/(i, i = 1, npoints, 1)/) * delta + start),&
C_DOUBLE)
ELSE ! f2
arr_real = real(f2((/(i, i = 1, npoints, 1)/) * delta + start &
+ randvals), C_DOUBLE)
END IF
call fftw_execute_dft_r2c(plan_f, arr_real, arr_complex)
IF (trim(arg) == "dft") THEN
DO i = 1, ncomplex
write(*,*) i - 1, " ", abs(arr_complex(i))
END DO
ELSE
DO i = 1, ncomplex
IF (abs(arr_complex(i)) < 50) arr_complex(i) = 0
END DO
call fftw_execute_dft_c2r(plan_b, arr_complex, arr_real)
arr_real = arr_real / npoints ! normalize
DO i = 1, npoints
write(*,*) (i - 1) * delta + start, " ", arr_real(i)
END DO
END IF
call fftw_free(p_real)
call fftw_free(p_complex)
CONTAINS
PURE ELEMENTAL real(kind=8) FUNCTION f1(t)
real(kind=8), intent(in) :: t
f1 = sin(2 * pi * t * 200) + 2 * sin(2 * pi * t * 400)
END FUNCTION f1
PURE ELEMENTAL real(kind=8) FUNCTION f2(t)
real(kind=8), intent(in) :: t
f2 = cos(2 * pi * t)
END FUNCTION f2
END PROGRAM test
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