program main

!*****************************************************************************80
!
!! MAIN is the main program for TEST_INT_LAGUERRE_PRB.
!
!  Discussion:
!
!    TEST_INT_LAGUERRE_PRB demonstrates the use of the TEST_INT_LAGUERRE
!    integration test functions.
!
!  Modified:
!
!    29 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  call timestamp ( )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST_INT_LAGUERRE_PRB'
  write ( *, '(a)' ) '  FORTRAN90 version'
  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) '  Test the routines in the TEST_INT_LAGUERRE tests.'

  call test01
  call test02
  call test03
  call test04
  call test05

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST_INT_LAGUERRE_PRB'
  write ( *, '(a)' ) '  Normal end of execution.'

  write ( *, '(a)' ) ' '
  call timestamp ( )

  stop
end
subroutine test01

!*****************************************************************************80
!
!! TEST01 tests P00_PROBLEM_NUM and P00_TITLE.
!
!  Modified:
!
!    27 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  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.
!
!  Modified:
!
!    27 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  real    ( kind = 8 ) alpha
  real    ( kind = 8 ) 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.
!
!  Modified:
!
!    27 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  real    ( kind = 8 ) error
  real    ( kind = 8 ) estimate
  real    ( kind = 8 ) 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,+Infinity).'

  call p00_problem_num ( problem_num )

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

  do problem = 1, problem_num

    call p00_exact ( problem, exact )

    order = 1

    write ( *, '(a)' ) ' '

    do order_log = 0, 6

      call p00_gauss_laguerre ( problem, order, estimate )

      error = abs ( exact - estimate )

      write ( *, '(2x,i8,2x,i8,2x,g14.6,2x,g14.6,2x,g14.6)' ) &
        problem, order, estimate, exact, error

      order = order * 2

    end do

  end do

  return
end
subroutine test04

!*****************************************************************************80
!
!! TEST04 tests P00_EXP_TRANSFORM.
!
!  Modified:
!
!    29 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  real    ( kind = 8 ) error
  real    ( kind = 8 ) estimate
  real    ( kind = 8 ) 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,+Infinity)'
  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)' ) &
    '   Problem     Order      Estimate        Exact           Error'

  do problem = 1, problem_num

    call p00_exact ( problem, exact )

    order = 1

    write ( *, '(a)' ) ' '

    do order_log = 0, 6

      call p00_exp_transform ( problem, order, estimate )

      error = abs ( exact - estimate )

      write ( *, '(2x,i8,2x,i8,2x,g14.6,2x,g14.6,2x,g14.6)' ) &
        problem, order, estimate, exact, error

      order = order * 2

    end do

  end do

  return
end
subroutine test05

!*****************************************************************************80
!
!! TEST05 tests P00_RAT_TRANSFORM.
!
!  Modified:
!
!    29 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  real    ( kind = 8 ) error
  real    ( kind = 8 ) estimate
  real    ( kind = 8 ) 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,+Infinity)'
  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)' ) &
    '   Problem     Order      Estimate        Exact           Error'

  do problem = 1, problem_num

    call p00_exact ( problem, exact )

    order = 1

    write ( *, '(a)' ) ' '

    do order_log = 0, 6

      call p00_rat_transform ( problem, order, estimate )

      error = abs ( exact - estimate )

      write ( *, '(2x,i8,2x,i8,2x,g14.6,2x,g14.6,2x,g14.6)' ) &
        problem, order, estimate, exact, error

      order = order * 2

    end do

  end do

  return
end