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!> \mainpage |
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!! This is a Fortran9X adaptation of the functionality of Revolve; see Alg. 799 published as \cite Griewank2000ARA . |
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!! The interface of the routines differs from the cited revolve implementation |
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!! found in Adol-C and has been designed to be more in line with the |
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!! Fortran 9X language features. A minor extension is the optional `bundle` parameter that allows to treat as many loop |
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!! iterations in one tape/adjoint sweep. If `bundle` is 1, the default, then the behavior is that of Alg. 799. |
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!! |
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!! The implementation (written by J. Utke) is contained in revolve.f90, the use is illustrated in the `Examples` directory. |
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!! |
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!! The mercurial repository with the latest version can be found at: |
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!! <a href="http://mercurial.mcs.anl.gov/ad/RevolveF9X">http://mercurial.mcs.anl.gov/ad/RevolveF9X</a> |
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!! |
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!> the module containing the revolve implementation |
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!! |
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MODULE revolve |
MODULE revolve |
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IMPLICIT NONE |
IMPLICIT NONE |
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ourNumFwd , ourNumInv, ourNumStore, ourRWCP, ourPrevCEnd, ourFirstUTurned, & |
ourNumFwd , ourNumInv, ourNumStore, ourRWCP, ourPrevCEnd, ourFirstUTurned, & |
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chkRange, forwdCount |
chkRange, forwdCount |
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! possible actions |
!> store a checkpoint now |
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!! equivalent to TAKESHOT in Alg. 799 |
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INTEGER, PARAMETER :: rvStore =1 |
INTEGER, PARAMETER :: rvStore =1 |
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!> restore a checkpoint now |
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!! equivalent to RESTORE in Alg. 799 |
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INTEGER, PARAMETER :: rvRestore =2 |
INTEGER, PARAMETER :: rvRestore =2 |
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!> execute iteration(s) forward |
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!! equivalent to ADVANCE in Alg. 799 |
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INTEGER, PARAMETER :: rvForward =3 |
INTEGER, PARAMETER :: rvForward =3 |
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!> tape iteration(s); optionally leave to return later; and (upon return) do the adjoint(s) |
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!! equivalent to FIRSTTURN in Alg. 799 |
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INTEGER, PARAMETER :: rvFirstUTurn =4 |
INTEGER, PARAMETER :: rvFirstUTurn =4 |
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!> tape iteration(s) and do the adjoint(s) |
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!! equivalent to YOUTURN in Alg. 799 |
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INTEGER, PARAMETER :: rvUTurn =5 |
INTEGER, PARAMETER :: rvUTurn =5 |
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!> we are done with adjoining the loop |
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!! equivalent to the `terminate` enum value in Alg. 799 |
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INTEGER, PARAMETER :: rvDone =6 |
INTEGER, PARAMETER :: rvDone =6 |
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!> an error has occurred |
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!! equivalent to the `error` enum value in Alg. 799; |
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!! see also `errorMsg` in \ref rvAction |
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INTEGER, PARAMETER :: rvError =7 |
INTEGER, PARAMETER :: rvError =7 |
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!> this encapsulates all the information needed to perfrom the correct action |
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!! an instance is returned from \ref rvNextAction |
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TYPE rvAction |
TYPE rvAction |
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!> the action that is to be implemented, termination, or error; |
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!! the value must be one of: |
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!! `rvStore`, `rvRestore`, `rvForward`, |
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!! `rvFirstUTurn`, `rvUTurn`, `rvDone`, `rvError` |
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INTEGER :: actionFlag = 0 |
INTEGER :: actionFlag = 0 |
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!> assumptions: |
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!! - the loop iterations are numbered in range [0,`ourSteps`-1] |
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!! - the model state is the input to the iteration numbered `startIteration` |
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!! |
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!! the interpretation is as follows based on the value of `actionFlag`: |
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!! - `rvForward`: execute iterations as the loop: `do currentIteration=startIteration, iteration-1` |
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!! - `rvRestore`: restores model state at `iteration` (here it has the same value as `startIteration`) |
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!! - `rvFirstUTurn`/`rvUTurn`: tape iterations in loop: do currentIteration=startIteration, iteration-1` |
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!! followed by adjoint sweep over iterations in loop: do currentIteration=iteration-1,startIteration,-1 |
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!! |
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!! for all other values of `actionFlag` the value of `iteration` is meaningless |
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INTEGER :: iteration = 0 |
INTEGER :: iteration = 0 |
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!> assuming the loop iterations are in [0,ourSteps-1] and `currentIteration` variable is maintained, |
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!! the interpretation is as follows based on the value of `actionFlag`: |
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!! - `rvForward`: execute iterations as the loop: `do currentIteration, iteration-1` |
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!! - `rvRestore`: set `currentIteration=iteration` |
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!! |
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!! for all other values of `actionFlag` the value of `iteration` is meaningless |
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INTEGER :: startIteration = 0 |
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!> the checkpoint number to be stored to restored |
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!! the value is meaninfull only if `actionFlag` is set to `rvStore` or `rvRestore`; |
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!! |
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!! This is approximately equivalent to `checks` in Alg. 799. |
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INTEGER :: cpNum = 0 |
INTEGER :: cpNum = 0 |
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CHARACTER, dimension(80) :: errorMsg |
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!> if an error has occurred `actionFlag` will be set to `rvError` and this will contain an error message |
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CHARACTER(80) :: errorMsg |
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END TYPE rvAction |
END TYPE rvAction |
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!> the number of iteration steps; set by calling \ref rvInit; not supposed to be set/used directly by the user; |
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!! note that the iterations are expected to range in [0, ourSteps-1]; |
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!! |
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!! equivalent to `steps` in Alg. 799 |
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INTEGER :: ourSteps = 0 ! number of steps |
INTEGER :: ourSteps = 0 ! number of steps |
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INTEGER :: ourACP = 0 ! allowed number of checkpoints |
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INTEGER :: ourCStart = 0 ! current subrange start |
!> the number of iterations that may be bundled for a taping/adjoining sweep; |
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INTEGER :: ourCEnd = 0 ! current subrange end |
!! set by calling \ref rvInit; not supposed to be set/used directly by the user; |
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INTEGER :: ourNumFwd = 0 ! count of forward steps |
!! |
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INTEGER :: ourNumInv = 0 ! count of invocations of rvNextAction |
!! the default is 1 loop iteration which makes it equivalent to Alg. 799 |
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INTEGER :: ourNumStore = 0 ! number of stored checkpoints |
INTEGER :: ourBundle = 1 |
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INTEGER :: ourRWCP = -1! checkpoint currently (re)stored (first checkpoint is 0) |
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INTEGER :: ourPrevCEnd = 0 ! previous subrange end |
!> the number of iterations in the last bundle |
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LOGICAL :: ourFirstUturned = .FALSE. ! have we first for the first time |
!! set by calling \ref rvInit; not supposed to be set/used directly by the user; |
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! vector of step numbers indexed by checkpoint |
!! |
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!! the default is 1 (for `ourBundle` = 1) which makes it equivalent to Alg. 799 |
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INTEGER :: ourTail = 1 |
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!> the number of checkpoints (ACP=AllowedCheckPoints) that can be stored at any time during the loop execution |
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!! set by calling \ref rvInit; not supposed to be set/used directly by the user |
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!! |
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!! equivalent to `snaps` in Alg. 799 |
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INTEGER :: ourACP = 0 |
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!> current subrange start; |
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!! not to be set/referemced directly by the user |
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!! |
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!! approximately equivalent to `capo` in Alg. 799 |
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INTEGER :: ourCStart = 0 |
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!> current subrange end; |
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!! not to be set/referemced directly by the user |
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!! |
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!! approximately equivalent to `fine` in Alg. 799 |
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INTEGER :: ourCEnd = 0 |
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!> count of the forward steps; diagnostic only |
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INTEGER :: ourNumFwd = 0 |
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!> count of invocations to \ref rvNextAction ; diagnostic only |
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INTEGER :: ourNumInv = 0 |
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!> count of checkpoint stores; diagnostic only |
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INTEGER :: ourNumStore = 0 |
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!> checkpoint currently (re)stored - the first checkpoint is numbered 0; |
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!! not to be set/referemced directly by the user |
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INTEGER :: ourRWCP = -1 |
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!> previous subrange end; |
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!! not to be set/referemced directly by the user |
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INTEGER :: ourPrevCEnd = 0 |
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!> have we first uturned already?; |
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!! not to be set/referemced directly by the user |
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LOGICAL :: ourFirstUturned = .FALSE. |
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!> vector of step numbers indexed by checkpoint; |
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!! not to be set/referemced directly by the user |
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INTEGER, DIMENSION(:), ALLOCATABLE :: ourStepOf |
INTEGER, DIMENSION(:), ALLOCATABLE :: ourStepOf |
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! for debugging purposes: |
!> for debugging purposes; values imply: |
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! 0 includes errors |
!! - 0 includes errors |
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! 1 includes summary info |
!! - 1 includes summary info |
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! 2 includes iterations with checkpoints stored |
!! - 2 includes iterations with checkpoints stored |
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! 3 includes all action results |
!! - 3 includes all action results |
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!! |
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!! set via \ref rvVerbose |
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INTEGER :: ourVerbosity = 0 |
INTEGER :: ourVerbosity = 0 |
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CONTAINS |
CONTAINS |
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!--------------------------------------------------------------------* |
!--------------------------------------------------------------------* |
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FUNCTION rvInit(steps,checkpoints,errorMsg,anActionInstance) |
!> method to initialize the internal state; must be called before any call to \ref rvNextAction |
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!! @param steps the total number of steps in the iteration; equivalent to `steps` in Alg. 799 |
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!! @param checkpoints the total number of checkpoints allowed to be stored at any time; equivalent to `snaps` in Alg. 799 |
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!! @param errorMsg set when an error condition occurs; else set to `"none"` |
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!! @param anActionInstance if supplied initializes its contents |
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!! @param bundle if supplied initializes `ourBundle` |
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!! @return `.true.` if successfull, else `.false.` ansd `errorMsg` will be set |
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FUNCTION rvInit(steps,checkpoints,errorMsg,anActionInstance,bundle) |
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IMPLICIT NONE |
IMPLICIT NONE |
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LOGICAL :: rvInit |
LOGICAL :: rvInit |
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INTEGER, INTENT(IN) :: steps |
INTEGER, INTENT(IN) :: steps |
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INTEGER, INTENT(IN) :: checkpoints |
INTEGER, INTENT(IN) :: checkpoints |
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CHARACTER ,dimension(:), INTENT(OUT) :: errorMsg |
CHARACTER(*), INTENT(OUT) :: errorMsg |
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type(rvAction), optional :: anActionInstance |
type(rvAction), optional :: anActionInstance |
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INTEGER, INTENT(IN), optional :: bundle |
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INTEGER :: predFwdCnt ! predicted forward count |
INTEGER :: predFwdCnt ! predicted forward count |
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rvInit = .TRUE. |
rvInit = .TRUE. |
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errorMsg ='none' |
errorMsg ='none' |
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anActionInstance%iteration = 0 |
anActionInstance%iteration = 0 |
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anActionInstance%cpNum = 0 |
anActionInstance%cpNum = 0 |
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END IF |
END IF |
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IF (steps<0 .OR. checkpoints<0) THEN |
IF (present(bundle)) THEN |
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ourBundle = bundle |
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END IF |
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IF (ourBundle<1 .OR. ourBundle>steps) THEN |
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rvInit=.FALSE. |
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errorMsg = "revolve::rvInit: bundle parameter out of range [1,steps]" |
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ELSEIF (steps<0) THEN |
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rvInit=.FALSE. |
rvInit=.FALSE. |
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errorMsg = 'revolve::rvInit: negative steps or checkpoints' |
errorMsg = 'revolve::rvInit: negative steps' |
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ELSEIF (checkpoints<0) THEN |
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rvInit=.FALSE. |
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errorMsg = 'revolve::rvInit: negative checkpoints' |
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ELSE |
ELSE |
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ourCStart = 0 |
ourCStart = 0 |
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ourSteps = steps |
ourSteps = steps |
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ourCEnd = steps |
IF (ourBundle .gt. 1) THEN |
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ourTail=modulo(ourSteps,ourBundle) |
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ourSteps=ourSteps/ourBundle |
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IF (ourTail>0) THEN |
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ourSteps=ourSteps+1 |
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ELSE |
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ourTail=ourBundle |
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END IF |
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END IF |
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ourCEnd = ourSteps |
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ourACP = checkpoints |
ourACP = checkpoints |
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ourNumFwd = 0 |
ourNumFwd = 0 |
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ourNumInv = 0 |
ourNumInv = 0 |
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END IF |
END IF |
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IF (ourVerbosity>0) THEN |
IF (ourVerbosity>0) THEN |
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predFwdCnt = forwdCount(ourCEnd-ourCStart,ourACP) |
predFwdCnt = forwdCount(steps,ourACP,ourBundle) |
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IF (predFwdCnt==-1) THEN |
IF (predFwdCnt==-1) THEN |
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errorMsg='error in forwdCount' |
errorMsg='revolve::rvInit: error returned by revolve::forwdCount' |
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rvInit=.FALSE. |
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RETURN |
RETURN |
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ELSE |
ELSE |
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WRITE (*,'(A)') 'prediction:' |
WRITE (*,'(A)') 'prediction:' |
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WRITE (*,'(A,I7)') ' needed forward steps: ', predFwdCnt |
WRITE (*,'(A,I7)') ' overhead forward steps : ', predFwdCnt |
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WRITE (*,'(A,F8.4)') ' slowdown factor : ', dble(predFwdCnt)/(ourCEnd-ourCStart) |
WRITE (*,'(A,F8.4)') ' overhead factor : ', dble(predFwdCnt)/(steps) |
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END IF |
END IF |
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END IF |
END IF |
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END IF |
END IF |
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!--------------------------------------------------------------------* |
!--------------------------------------------------------------------* |
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!> method to set the verbosity to a level in [0-3] as described for `ourVerbosity` |
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SUBROUTINE rvVerbose(level) |
SUBROUTINE rvVerbose(level) |
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IMPLICIT NONE |
IMPLICIT NONE |
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INTEGER, INTENT(IN) :: level |
INTEGER, INTENT(IN) :: level |
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END SUBROUTINE rvVerbose |
END SUBROUTINE rvVerbose |
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!--------------------------------------------------------------------* |
!--------------------------------------------------------------------* |
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!> the method to determine the next action; to be called in an unbound loop after \ref rvInit |
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!! @return an instance of `rvAction` set to describe the next action (see the member documentation); |
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!! |
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!! this method modifies the internal state; it is approximately equivalent to the method `revolve` in Alg. 799 |
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FUNCTION rvNextAction() |
FUNCTION rvNextAction() |
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IMPLICIT NONE |
IMPLICIT NONE |
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REAL :: bino1, bino2, bino3, bino4, bino5 |
REAL :: bino1, bino2, bino3, bino4, bino5 |
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INTEGER :: availCP ! available checkpoint slots |
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INTEGER :: prevCStart ! previous subrange start |
!> available checkpoint slots |
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INTEGER :: range ! |
INTEGER :: availCP |
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!> local copy of previous subrange start |
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INTEGER :: prevCStart |
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INTEGER :: range |
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INTEGER :: reps |
INTEGER :: reps |
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INTEGER :: i |
INTEGER :: i |
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type(rvAction) :: rvNextAction |
type(rvAction) :: rvNextAction |
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END DO |
END DO |
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ourStepOf(0) = ourCStart - 1 |
ourStepOf(0) = ourCStart - 1 |
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END IF |
END IF |
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prevCStart = ourCStart |
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ourNumInv = ourNumInv + 1 |
ourNumInv = ourNumInv + 1 |
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IF ((ourCEnd-ourCStart)==0) THEN |
IF ((ourCEnd-ourCStart)==0) THEN |
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! nothing in current subrange |
! nothing in current subrange |
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IF ((ourRWCP==(-1)) .OR. (ourCStart==ourStepOf(0))) THEN |
IF ((ourRWCP==(-1)) .OR. (ourCStart==ourStepOf(0))) THEN |
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! we are done |
! we are done |
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ourRWCP = ourRWCP - 1 |
ourRWCP = ourRWCP - 1 |
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IF (ourVerbosity>2) THEN |
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WRITE (*,FMT='(A)') ' done' |
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END IF |
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IF (ourVerbosity>0) THEN |
IF (ourVerbosity>0) THEN |
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WRITE (*,'(A)') 'summary:' |
WRITE (*,'(A)') 'summary:' |
297 |
WRITE (*,'(A,I8)') ' forward steps:', ourNumFwd |
WRITE (*,'(A,I8)') ' overhead forward steps:', ourNumFwd |
298 |
WRITE (*,'(A,I8)') ' CP stores :', ourNumStore |
WRITE (*,'(A,I8)') ' CP stores :', ourNumStore |
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WRITE (*,'(A,I8)') ' invocations :', ourNumInv |
WRITE (*,'(A,I8)') ' rvNextAction calls :', ourNumInv |
300 |
END IF |
END IF |
301 |
rvNextAction%actionFlag = rvDone |
rvNextAction%actionFlag = rvDone |
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ELSE |
ELSE |
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ourRWCP = ourRWCP + 1 |
ourRWCP = ourRWCP + 1 |
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IF (ourRWCP+1>ourACP) THEN |
IF (ourRWCP+1>ourACP) THEN |
320 |
rvNextAction%actionFlag = rvError |
rvNextAction%actionFlag = rvError |
321 |
rvNextAction%errorMsg='insufficient allowed checkpoints' |
rvNextAction%errorMsg='revolve::rvNextAction: insufficient allowed checkpoints' |
322 |
RETURN |
RETURN |
323 |
ELSE |
ELSE |
324 |
ourStepOf(ourRWCP) = ourCStart |
ourStepOf(ourRWCP) = ourCStart |
328 |
END IF |
END IF |
329 |
ELSE IF ((ourPrevCEnd<ourCEnd) .AND. (ourACP==ourRWCP+1)) THEN |
ELSE IF ((ourPrevCEnd<ourCEnd) .AND. (ourACP==ourRWCP+1)) THEN |
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rvNextAction%actionFlag = rvError |
rvNextAction%actionFlag = rvError |
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rvNextAction%errorMsg='insufficient allowed checkpoints' |
rvNextAction%errorMsg='revolve::rvNextAction: insufficient allowed checkpoints' |
332 |
ELSE |
ELSE |
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prevCStart = ourCStart |
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availCP = ourACP - ourRWCP |
availCP = ourACP - ourRWCP |
334 |
IF (availCP<1) THEN |
IF (availCP<1) THEN |
335 |
rvNextAction%actionFlag = rvError |
rvNextAction%actionFlag = rvError |
336 |
rvNextAction%errorMsg='insufficient allowed checkpoints' |
rvNextAction%errorMsg='revolve::rvNextAction: insufficient allowed checkpoints' |
337 |
ELSE |
ELSE |
338 |
reps = 0 |
reps = 0 |
339 |
range = 1 |
range = 1 |
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IF (ourCStart==prevCStart) THEN |
IF (ourCStart==prevCStart) THEN |
373 |
ourCStart = prevCStart + 1 |
ourCStart = prevCStart + 1 |
374 |
END IF |
END IF |
375 |
ourNumFwd = ourNumFwd + ourCStart - prevCStart |
IF (ourCStart==ourSteps) THEN |
376 |
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ourNumFwd = ourNumFwd + ((ourCStart-1) - prevCStart)*ourBundle + ourTail |
377 |
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ELSE |
378 |
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ourNumFwd = ourNumFwd + (ourCStart - prevCStart)*ourBundle |
379 |
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END IF |
380 |
rvNextAction%actionFlag = rvForward |
rvNextAction%actionFlag = rvForward |
381 |
END IF |
END IF |
382 |
END IF |
END IF |
383 |
rvNextAction%iteration=ourCStart |
rvNextAction%startIteration=prevCStart*ourBundle |
384 |
IF (rvNextAction%actionFlag /= rvError .AND. rvNextAction%actionFlag /= rvDone) THEN |
IF (rvNextAction%actionFlag==rvFirstUTurn) THEN |
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rvNextAction%iteration=(ourCStart)*ourBundle+ourTail |
386 |
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ELSE IF (rvNextAction%actionFlag==rvUTurn) THEN |
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rvNextAction%iteration=(ourCStart+1)*ourBundle |
388 |
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ELSE |
389 |
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rvNextAction%iteration=(ourCStart)*ourBundle |
390 |
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END IF |
391 |
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IF (rvNextAction%actionFlag /= rvError) THEN |
392 |
IF (ourVerbosity>2) THEN |
IF (ourVerbosity>2) THEN |
393 |
SELECT CASE( rvNextAction%actionFlag) |
SELECT CASE( rvNextAction%actionFlag) |
394 |
CASE (rvForward) |
CASE (rvForward) |
395 |
WRITE (*,FMT='(A)',ADVANCE='NO') ' forward to :' |
WRITE (*,FMT='(A,I8,A,I8,A)') ' run forward iterations [', & |
396 |
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rvNextAction%startIteration, ',', rvNextAction%iteration-1,']' |
397 |
CASE (rvRestore) |
CASE (rvRestore) |
398 |
WRITE (*,FMT='(A)',ADVANCE='NO') ' restore at :' |
WRITE (*,FMT='(A,I8)') ' restore input of iteration ',& |
399 |
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rvNextAction%iteration |
400 |
CASE (rvFirstUTurn) |
CASE (rvFirstUTurn) |
401 |
WRITE (*,FMT='(A)',ADVANCE='NO') ' 1st uturn at:' |
WRITE (*,FMT='(A,I8,A,I8,A)') ' 1st uturn for iterations [',& |
402 |
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rvNextAction%startIteration, ',', rvNextAction%iteration-1,']' |
403 |
CASE(rvUTurn) |
CASE(rvUTurn) |
404 |
WRITE (*,FMT='(A)',ADVANCE='NO') ' uturn at :' |
WRITE (*,FMT='(A,I8,A,I8,A)') ' uturn for iterations [',& |
405 |
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rvNextAction%startIteration, ',', rvNextAction%iteration-1,']' |
406 |
END SELECT |
END SELECT |
407 |
END IF |
END IF |
408 |
IF (ourVerbosity>1) THEN |
IF ((ourVerbosity>1) .AND. (rvNextAction%actionFlag == rvStore)) THEN |
409 |
IF (rvNextAction%actionFlag == rvStore) THEN |
WRITE (*,FMT='(A,I8)') ' store input of iteration ',& |
410 |
WRITE (*,FMT='(A)',ADVANCE='NO') ' store at :' |
rvNextAction%iteration |
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END IF |
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|
WRITE (*,'(I8)') rvNextAction%iteration |
|
411 |
END IF |
END IF |
412 |
END IF |
END IF |
413 |
rvNextAction%cpNum=ourRWCP |
rvNextAction%cpNum=ourRWCP |
414 |
END FUNCTION rvNextAction |
END FUNCTION rvNextAction |
415 |
|
|
416 |
!--------------------------------------------------------------------* |
!--------------------------------------------------------------------* |
417 |
|
!> estimates the number of checkpoints required; equivalent to `adjust` in Alg. 799 |
418 |
FUNCTION rvGuess(steps) |
!! @param steps is the number of iterations |
419 |
|
!! @param bundle is optional; detaults to 1, if specified indicates the number of iterations bundled in one tape/adjoint sweep |
420 |
|
!! @return the number of checkpoints such that the growth in spatial complexity is balanced with the growth in temporal complexity |
421 |
|
!! |
422 |
|
!! this method does not change the internal state and does not require \ref rvInit |
423 |
|
FUNCTION rvGuess(steps,bundle) |
424 |
IMPLICIT NONE |
IMPLICIT NONE |
425 |
INTEGER :: steps |
INTEGER, INTENT(IN) :: steps, bundle |
426 |
INTEGER :: reps, s, checkpoints |
OPTIONAL :: bundle |
427 |
|
INTEGER :: reps, s, checkpoints, b, tail, bSteps |
428 |
INTEGER :: rvGuess |
INTEGER :: rvGuess |
429 |
checkpoints = 1 |
b=1 |
430 |
reps = 1 |
bSteps=steps |
431 |
s = 0 |
IF (present(bundle)) THEN |
432 |
DO WHILE (chkRange(checkpoints+s,reps+s)>steps) |
b=bundle |
433 |
s = s - 1 |
END IF |
434 |
END DO |
IF (steps<1) THEN |
435 |
DO WHILE (chkRange(checkpoints+s,reps+s)<steps) |
WRITE (*,fmt=*) 'revolve::rvGuess: error: steps < 1' |
436 |
s = s + 1 |
rvGuess = -1 |
437 |
END DO |
ELSE IF (b<1) THEN |
438 |
checkpoints = checkpoints + s |
WRITE (*,fmt=*) 'revolve::rvGuess: error: bundle < 1' |
439 |
reps = reps + s |
rvGuess = -1 |
440 |
s = -1 |
ELSE |
441 |
DO WHILE (chkRange(checkpoints,reps)>=steps) |
IF (b .gt. 1) THEN |
442 |
IF (checkpoints>reps) THEN |
tail=modulo(bSteps,b) |
443 |
checkpoints = checkpoints - 1 |
bSteps=bSteps/b |
444 |
s = 0 |
IF (tail>0) THEN |
445 |
|
bSteps=bSteps+1 |
446 |
|
END IF |
447 |
|
END IF |
448 |
|
IF (bSteps==1) THEN |
449 |
|
rvGuess=0 |
450 |
ELSE |
ELSE |
451 |
reps = reps - 1 |
checkpoints = 1 |
452 |
s = 1 |
reps = 1 |
453 |
|
s = 0 |
454 |
|
DO WHILE (chkRange(checkpoints+s,reps+s)>bSteps) |
455 |
|
s = s - 1 |
456 |
|
END DO |
457 |
|
DO WHILE (chkRange(checkpoints+s,reps+s)<bSteps) |
458 |
|
s = s + 1 |
459 |
|
END DO |
460 |
|
checkpoints = checkpoints + s |
461 |
|
reps = reps + s |
462 |
|
s = -1 |
463 |
|
DO WHILE (chkRange(checkpoints,reps)>=bSteps) |
464 |
|
IF (checkpoints>reps) THEN |
465 |
|
checkpoints = checkpoints - 1 |
466 |
|
s = 0 |
467 |
|
ELSE |
468 |
|
reps = reps - 1 |
469 |
|
s = 1 |
470 |
|
END IF |
471 |
|
END DO |
472 |
|
IF (s==0) THEN |
473 |
|
checkpoints = checkpoints + 1 |
474 |
|
END IF |
475 |
|
IF (s==1) reps = reps + 1 |
476 |
|
rvGuess = checkpoints |
477 |
END IF |
END IF |
|
END DO |
|
|
IF (s==0) THEN |
|
|
checkpoints = checkpoints + 1 |
|
478 |
END IF |
END IF |
|
IF (s==1) reps = reps + 1 |
|
|
rvGuess = checkpoints |
|
479 |
END FUNCTION rvGuess |
END FUNCTION rvGuess |
480 |
|
|
481 |
!--------------------------------------------------------------------* |
!--------------------------------------------------------------------* |
482 |
|
!> computes the run time overhead factor; equivalent to `expense` in Alg. 799 |
483 |
FUNCTION rvFactor(steps,checkpoints) |
!! @param steps is the number of iterations |
484 |
|
!! @param checkpoints is the number of allowed checkpoints |
485 |
|
!! @param bundle is optional; detaults to 1, if specified indicates the number of iterations bundled in one tape/adjoint sweep |
486 |
|
!! @return the estimated runtime overhead factor (does not account for the time needed to write checkpoints) |
487 |
|
!! |
488 |
|
!! this method does not change the internal state and does not require \ref rvInit |
489 |
|
FUNCTION rvFactor(steps,checkpoints,bundle) |
490 |
IMPLICIT NONE |
IMPLICIT NONE |
491 |
INTEGER :: checkpoints, steps |
INTEGER, INTENT(IN) :: checkpoints, steps, bundle |
492 |
|
OPTIONAL :: bundle |
493 |
|
INTEGER :: b, f |
494 |
DOUBLE PRECISION :: rvFactor |
DOUBLE PRECISION :: rvFactor |
495 |
IF (checkpoints<1) THEN |
b=1 |
496 |
WRITE (*,fmt=*) 'error occurs in RVFACTOR: CHECKPOINTS < 1' |
IF (present(bundle)) THEN |
497 |
rvFactor = -1 |
b=bundle |
498 |
ELSE IF (checkpoints<1) THEN |
END IF |
499 |
WRITE (*,fmt=*) 'error occurs in RVFACTOR: CHECKPOINTS < 1' |
f=forwdCount(steps,checkpoints,b) |
500 |
rvFactor = -1 |
IF (f==-1) THEN |
501 |
|
WRITE (*,fmt=*) 'revolve::rvFactor: error returned by revolve::forwdCount' |
502 |
|
rvFactor=-1 |
503 |
ELSE |
ELSE |
504 |
rvFactor = dble(forwdCount(steps,checkpoints)) |
rvFactor = dble(f)/steps |
|
IF (rvFactor/=-1) rvFactor = rvFactor/steps |
|
505 |
END IF |
END IF |
506 |
END FUNCTION rvFactor |
END FUNCTION rvFactor |
507 |
|
|
508 |
!--------------------------------------------------------------------* |
!--------------------------------------------------------------------* |
509 |
|
!> internal method not to be referenced by the user |
510 |
FUNCTION chkRange(ss,tt) |
FUNCTION chkRange(ss,tt) |
511 |
IMPLICIT NONE |
IMPLICIT NONE |
512 |
INTEGER :: ss, tt |
INTEGER :: ss, tt |
515 |
INTEGER :: chkRange |
INTEGER :: chkRange |
516 |
res = 1. |
res = 1. |
517 |
IF (tt<0 .OR. ss<0) THEN |
IF (tt<0 .OR. ss<0) THEN |
518 |
WRITE (*,fmt=*) 'error in MAXRANGE: negative parameter ' |
WRITE (*,fmt=*) 'revolve::chkRange: error: negative parameter ' |
519 |
chkRange = -1 |
chkRange = -1 |
520 |
ELSE |
ELSE |
521 |
DO i = 1, tt |
DO i = 1, tt |
527 |
chkRange = res |
chkRange = res |
528 |
ELSE |
ELSE |
529 |
chkRange = 2.0D0**31 - 3 |
chkRange = 2.0D0**31 - 3 |
530 |
WRITE (*,fmt=*) 'warning from MAXRANGE: returned maximal integer' |
WRITE (*,fmt=*) 'revolve::chkRange: warning: returning maximal integer ',& |
531 |
WRITE (*,fmt=*) chkRange |
chkRange |
532 |
END IF |
END IF |
533 |
END IF |
END IF |
534 |
END FUNCTION chkRange |
END FUNCTION chkRange |
535 |
|
|
536 |
!--------------------------------------------------------------------* |
!--------------------------------------------------------------------* |
537 |
|
|
538 |
FUNCTION forwdCount(steps,checkpoints) |
!> internal method not to be referenced by the user; |
539 |
|
!> predicts the number of recomputation-from-checkpoint forwards steps (overhead) |
540 |
|
FUNCTION forwdCount(steps,checkpoints,bundle) |
541 |
IMPLICIT NONE |
IMPLICIT NONE |
542 |
INTEGER :: checkpoints, steps |
INTEGER, INTENT(IN) :: checkpoints, steps, bundle |
543 |
INTEGER :: range, reps |
INTEGER :: range, reps,s,tail |
544 |
INTEGER :: forwdCount |
INTEGER :: forwdCount |
545 |
IF (checkpoints<1) THEN |
IF (checkpoints<0) THEN |
546 |
|
WRITE (*,fmt=*) 'revolve::forwdCount: error: checkpoints < 0' |
547 |
|
forwdCount = -1 |
548 |
|
ELSE IF (steps<1) THEN |
549 |
|
WRITE (*,fmt=*) 'revolve::forwdCount: error: steps < 1' |
550 |
|
forwdCount = -1 |
551 |
|
ELSE IF (bundle<1) THEN |
552 |
|
WRITE (*,fmt=*) 'revolve::forwdCount: error: bundle < 1' |
553 |
forwdCount = -1 |
forwdCount = -1 |
554 |
ELSE |
ELSE |
555 |
reps = 0 |
s=steps |
556 |
range = 1 |
IF (bundle .gt. 1) THEN |
557 |
DO WHILE (range<steps) |
tail=modulo(s,bundle) |
558 |
reps = reps + 1 |
s=s/bundle |
559 |
range = range*(reps+checkpoints)/reps |
IF (tail>0) THEN |
560 |
END DO |
s=s+1 |
561 |
forwdCount = reps*steps - range*reps/(checkpoints+1) |
END IF |
562 |
|
END IF |
563 |
|
IF (s==1) THEN |
564 |
|
forwdCount = 0 |
565 |
|
ELSE IF (checkpoints==0) THEN |
566 |
|
WRITE (*,fmt=*) & |
567 |
|
'revolve::forwdCount: error: given inputs require checkpoints>0' |
568 |
|
forwdCount = -1 |
569 |
|
ELSE |
570 |
|
reps = 0 |
571 |
|
range = 1 |
572 |
|
DO WHILE (range<s) |
573 |
|
reps = reps + 1 |
574 |
|
range = range*(reps+checkpoints)/reps |
575 |
|
END DO |
576 |
|
forwdCount = (reps*s - range*reps/(checkpoints+1))*bundle |
577 |
|
END IF |
578 |
END IF |
END IF |
579 |
END FUNCTION forwdCount |
END FUNCTION forwdCount |
580 |
|
|