subroutine cosine_transform_data ( n, d, c ) !*****************************************************************************80 ! !! cosine_transform_data() does a cosine transform on a vector of data. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 26 August 2015 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, integer N, the number of data points. ! ! Input, real ( kind = rk ) D(N), the vector of data. ! ! Output, real ( kind = rk ) C(N), the cosine transform coefficients. ! implicit none integer, parameter :: rk = kind ( 1.0D+00 ) integer n real ( kind = rk ) c(n) real ( kind = rk ) d(n) integer i integer j real ( kind = rk ), parameter :: r8_pi = 3.141592653589793D+00 c(1:n) = 0.0D+00 do i = 1, n do j = 1, n c(i) = c(i) + cos ( r8_pi * real ( 2 * j - 1, kind = rk ) & * real ( i - 1, kind = rk ) / 2.0D+00 / real ( n, kind = rk ) ) * d(j); end do end do c(1:n) = c(1:n) * sqrt ( 2.0D+00 / real ( n, kind = rk ) ) return end subroutine cosine_transform_inverse ( n, c, d ) !*****************************************************************************80 ! !! COSINE_TRANSFORM_INVERSE does an inverse cosine transform. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 26 August 2015 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, integer N, the number of data points. ! ! Input, real ( kind = rk ) C(N), the cosine transform coefficients. ! ! Output, real ( kind = rk ) D(N), the vector of data. ! implicit none integer, parameter :: rk = kind ( 1.0D+00 ) integer n real ( kind = rk ) c(n) real ( kind = rk ) d(n) integer i integer j real ( kind = rk ), parameter :: r8_pi = 3.141592653589793D+00 do i = 1, n d(i) = c(1) / 2.0D+00 do j = 2, n d(i) = d(i) + cos ( r8_pi * real ( 2 * i - 1, kind = rk ) & * real ( j - 1, kind = rk ) / 2.0D+00 / real ( n, kind = rk ) ) * c(j) end do end do d(1:n) = d(1:n) * sqrt ( 2.0D+00 / real ( n, kind = rk ) ) return end subroutine timestamp ( ) !*****************************************************************************80 ! !! TIMESTAMP prints the current YMDHMS date as a time stamp. ! ! Example: ! ! 31 May 2001 9:45:54.872 AM ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 18 May 2013 ! ! Author: ! ! John Burkardt ! implicit none character ( len = 8 ) ampm integer d integer h integer m integer mm character ( len = 9 ), parameter, dimension(12) :: month = (/ & 'January ', 'February ', 'March ', 'April ', & 'May ', 'June ', 'July ', 'August ', & 'September', 'October ', 'November ', 'December ' /) integer n integer s integer values(8) integer y call date_and_time ( values = values ) y = values(1) m = values(2) d = values(3) h = values(5) n = values(6) s = values(7) mm = values(8) if ( h < 12 ) then ampm = 'AM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Noon' else ampm = 'PM' end if else h = h - 12 if ( h < 12 ) then ampm = 'PM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Midnight' else ampm = 'AM' end if end if end if write ( *, '(i2.2,1x,a,1x,i4,2x,i2,a1,i2.2,a1,i2.2,a1,i3.3,1x,a)' ) & d, trim ( month(m) ), y, h, ':', n, ':', s, '.', mm, trim ( ampm ) return end