program main

!*****************************************************************************80
!
!! laguerre_integrands_test tests the laguerre_integrands library.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license.
!
!  Modified:
!
!    29 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  call timestamp ( )
  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'laguerre_integrands_test'
  write ( *, '(a)' ) '  FORTRAN90 version'
  write ( *, '(a)' ) '  Test laguerre_integrands.'

  call test01 ( )
  call test02 ( )
  call test03 ( )
  call test04 ( )
  call test05 ( )
!
!  Terminate.
!
  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'laguerre_integrands_test'
  write ( *, '(a)' ) '  Normal end of execution.'
  write ( *, '(a)' ) ' '
  call timestamp ( )

  stop 0
end
subroutine test01 ( )

!*****************************************************************************80
!
!! TEST01 tests P00_PROBLEM_NUM and P00_TITLE.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license.
!
!  Modified:
!
!    27 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  integer ( kind = 4 ) problem
  integer ( kind = 4 ) problem_num
  character ( len = 80 ) title

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST01'
  write ( *, '(a)' ) '  P00_PROBLEM_NUM returns the number of problems.'
  write ( *, '(a)' ) '  P00_TITLE returns the title of a problem.'

  call p00_problem_num ( problem_num )

  write ( *, '(a)' ) ' '
  write ( *, '(a,i8)' ) &
    '  P00_PROBLEM_NUM: number of problems is ', problem_num
  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) '   Problem       Title'
  write ( *, '(a)' ) ' '

  do problem = 1, problem_num

    call p00_title ( problem, title )

    write ( *, '(2x,i8,2x,a)' ) problem, '"' // trim ( title ) // '"'

  end do

  return
end
subroutine test02 ( )

!*****************************************************************************80
!
!! TEST02 tests P00_ALPHA and P00_EXACT.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license.
!
!  Modified:
!
!    27 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  real ( kind = rk ) alpha
  real ( kind = rk ) exact
  integer ( kind = 4 ) problem
  integer ( kind = 4 ) problem_num

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST02'
  write ( *, '(a)' ) '  P00_ALPHA returns the lower limit of integration.'
  write ( *, '(a)' ) '  P00_EXACT returns the "exact" integral.'

  call p00_problem_num ( problem_num )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) '   Problem       ALPHA          EXACT'
  write ( *, '(a)' ) ' '

  do problem = 1, problem_num

    call p00_alpha ( problem, alpha )

    call p00_exact ( problem, exact )

    write ( *, '(2x,i8,2x,g14.6,2x,g24.16)' ) problem, alpha, exact

  end do

  return
end
subroutine test03 ( )

!*****************************************************************************80
!
!! TEST03 tests P00_GAUSS_LAGUERRE.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license.
!
!  Modified:
!
!    26 December 2011
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  real ( kind = rk ) error
  real ( kind = rk ) estimate
  real ( kind = rk ) exact
  integer ( kind = 4 ) order
  integer ( kind = 4 ) order_log
  integer ( kind = 4 ) problem
  integer ( kind = 4 ) problem_num

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST03'
  write ( *, '(a)' ) '  P00_GAUSS_LAGUERRE applies a Gauss-Laguerre rule'
  write ( *, '(a)' ) '  to estimate an integral on [ALPHA,+oo).'

  call p00_problem_num ( problem_num )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) '                          Exact/'
  write ( *, '(a)' ) '   Problem     Order      Estimate        Error'

  do problem = 1, problem_num

    call p00_exact ( problem, exact )

    order = 1

    write ( *, '(a)' ) ' '
    write ( *, '(2x,i8,2x,8x,2x,g14.6)' ) problem, exact

    do order_log = 0, 6

      call p00_gauss_laguerre ( problem, order, estimate )

      error = abs ( exact - estimate )

      write ( *, '(2x,8x,2x,i8,2x,g14.6,2x,g14.6)' ) order, estimate, error

      order = order * 2

    end do

  end do

  return
end
subroutine test04 ( )

!*****************************************************************************80
!
!! TEST04 tests P00_EXP_TRANSFORM.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license.
!
!  Modified:
!
!    26 December 2011
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  real ( kind = rk ) error
  real ( kind = rk ) estimate
  real ( kind = rk ) exact
  integer ( kind = 4 ) order
  integer ( kind = 4 ) order_log
  integer ( kind = 4 ) problem
  integer ( kind = 4 ) problem_num

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST04'
  write ( *, '(a)' ) '  P00_EXP_TRANSFORM applies an exponential transform'
  write ( *, '(a)' ) '  to estimate an integral on [ALPHA,+oo)'
  write ( *, '(a)' ) '  as a transformed integral on (0,exp(-ALPHA)],'
  write ( *, '(a)' ) '  and applying a Gauss-Legendre rule.'

  call p00_problem_num ( problem_num )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) '                          Exact/'
  write ( *, '(a)' ) '   Problem     Order      Estimate        Error'

  do problem = 1, problem_num

    call p00_exact ( problem, exact )

    order = 1

    write ( *, '(a)' ) ' '
    write ( *, '(2x,i8,2x,8x,2x,g14.6)' ) problem, exact

    do order_log = 0, 6

      call p00_exp_transform ( problem, order, estimate )

      error = abs ( exact - estimate )

      write ( *, '(2x,8x,2x,i8,2x,g14.6,2x,g14.6)' ) order, estimate, error

      order = order * 2

    end do

  end do

  return
end
subroutine test05 ( )

!*****************************************************************************80
!
!! TEST05 tests P00_RAT_TRANSFORM.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license.
!
!  Modified:
!
!    26 December 2011
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  real ( kind = rk ) error
  real ( kind = rk ) estimate
  real ( kind = rk ) exact
  integer ( kind = 4 ) order
  integer ( kind = 4 ) order_log
  integer ( kind = 4 ) problem
  integer ( kind = 4 ) problem_num

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST05'
  write ( *, '(a)' ) '  P00_RAT_TRANSFORM applies a rational transform'
  write ( *, '(a)' ) '  to estimate an integral on [ALPHA,+oo)'
  write ( *, '(a)' ) '  as a transformed integral on (0,1/(1+ALPHA)],'
  write ( *, '(a)' ) '  and applying a Gauss-Legendre rule.'

  call p00_problem_num ( problem_num )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) '                          Exact/'
  write ( *, '(a)' ) '   Problem     Order      Estimate        Error'

  do problem = 1, problem_num

    call p00_exact ( problem, exact )

    order = 1

    write ( *, '(a)' ) ' '
    write ( *, '(2x,i8,2x,8x,2x,g14.6)' ) problem, exact

    do order_log = 0, 6

      call p00_rat_transform ( problem, order, estimate )

      error = abs ( exact - estimate )

      write ( *, '(2x,8x,2x,i8,2x,g14.6,2x,g14.6)' ) order, estimate, error

      order = order * 2

    end do

  end do

  return
end