! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! Copyright (c) 2015, Regents of the University of Colorado
! All rights reserved.
!
! Redistribution and use in source and binary forms, with or without modification, are 
! permitted provided that the following conditions are met:
!
! 1. Redistributions of source code must retain the above copyright notice, this list of 
!    conditions and the following disclaimer.
!
! 2. Redistributions in binary form must reproduce the above copyright notice, this list
!    of conditions and the following disclaimer in the documentation and/or other 
!    materials provided with the distribution.
!
! 3. Neither the name of the copyright holder nor the names of its contributors may be 
!    used to endorse or promote products derived from this software without specific prior
!    written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY 
! EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF 
! MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL 
! THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 
! SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT 
! OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS 
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
! LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
! OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
!
! History:
! May 2015- D. Swales - Original version
! 
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
MODULE mod_rng
  USE cosp_kinds, ONLY: dp, sp, wp 
  IMPLICIT NONE 

  INTEGER, parameter :: ki9    = selected_int_kind(R=9)
  integer :: testInt
  
  TYPE rng_state
     INTEGER(ki9) :: seed ! 32 bit integer
  END TYPE rng_state
  
  INTERFACE init_rng
     MODULE PROCEDURE init_rng_1, init_rng_n
  END INTERFACE init_rng
  
  INTERFACE get_rng
     MODULE PROCEDURE get_rng_1, get_rng_n, get_rng_v
  END INTERFACE get_rng
  
CONTAINS 
  
  !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  ! Set single seed
  !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  SUBROUTINE init_rng_1(s, seed_in)
    TYPE(rng_state), INTENT(INOUT) :: s
    INTEGER,         INTENT(IN   ) :: seed_in
    s%seed = seed_in     
  END SUBROUTINE init_rng_1
  
  !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  ! Set vector of seeds
  !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  SUBROUTINE init_rng_n(s, seed_in)
    TYPE(rng_state), DIMENSION(:), INTENT(INOUT) :: s
    INTEGER,         DIMENSION(:), INTENT(IN   ) :: seed_in
    
    INTEGER :: i 
    DO i = 1, SIZE(seed_in)
       s(i)%seed = seed_in(i) 
    END DO
  END SUBROUTINE init_rng_n
  
  !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  ! Create single random number from seed
  !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  FUNCTION get_rng_1(s)  
    TYPE(rng_state), INTENT(INOUT) :: s
    REAL(WP)                       :: get_rng_1
    REAL(SP)                       :: r

    ! Return the next random numbers     
    ! Marsaglia CONG algorithm
    s%seed=69069*s%seed+1234567
    ! mod 32 bit overflow
    s%seed=mod(s%seed,2_ki9**30_ki9)   
    r = s%seed*0.931322574615479E-09

    ! convert to range 0-1 (32 bit only)
    ! DJS2016: What is being done here is an intentional integer overflow and a test to
    !          see if this occured. Some compilers check for integer overflows during
    !          compilation (ie. gfortan), while others do not (ie. pgi and ifort). When
    !          using gfortran, you cannot use the overflow and test for overflow method,
    !          so we use sizeof(someInt) to determine wheter it is on 32 bit.
    !if ( i2_16*i2_16 .le. huge32 ) then
    if (digits(testInt) .le. 31) then
    !if (sizeof(testInt) .eq. 4) then
       r=r+1
       r=r-int(r)
    endif
    get_rng_1 = REAL(r, KIND = WP) 
    
  END FUNCTION get_rng_1
  
  !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  ! Create single random number N times
  !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  FUNCTION get_rng_n(s, n) RESULT (r) 
    integer,intent(inout) :: n
    TYPE(rng_state),INTENT(INOUT) :: s
    ! Return the next N random numbers 
    REAL(WP), DIMENSION (n)        :: r
    
    INTEGER :: i 
    
    DO i = 1, N
       r(i) = get_rng_1(s)
    END DO
  END FUNCTION get_rng_n
  
  !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  ! Create a vector of random numbers from a vector of input seeds
  !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  FUNCTION get_rng_v(s) RESULT (r) 
    ! Return the next N random numbers 
    TYPE(rng_state), DIMENSION(:), INTENT(INOUT) :: s
    REAL(WP),        DIMENSION (SIZE(S))         :: r
    
    INTEGER :: i
    
    DO i = 1, size(s)
       r(i) = get_rng_1(s(i))
    END DO
  END FUNCTION get_rng_v
  
END MODULE mod_rng