xref: /petsc/src/tao/leastsquares/tutorials/chwirut2f.F90 (revision dfbbaf821b4c49d07b4ce746493b0d955783fdf9)
1c4762a1bSJed Brown!  Program usage: mpiexec -n 1 chwirut1f [-help] [all TAO options]
2c4762a1bSJed Brown!
3c4762a1bSJed Brown!  Description:  This example demonstrates use of the TAO package to solve a
4c4762a1bSJed Brown!  nonlinear least-squares problem on a single processor.  We minimize the
5c4762a1bSJed Brown!  Chwirut function:
6c4762a1bSJed Brown!       sum_{i=0}^{n/2-1} ( alpha*(x_{2i+1}-x_{2i}^2)^2 + (1-x_{2i})^2)
7c4762a1bSJed Brown!
8c4762a1bSJed Brown!  The C version of this code is chwirut1.c
9c4762a1bSJed Brown!
10c4762a1bSJed Brown
11c4762a1bSJed Brown!
12c4762a1bSJed Brown! ----------------------------------------------------------------------
13c4762a1bSJed Brown!
14*dfbbaf82SBarry Smith      module chwirut2fmodule
15*dfbbaf82SBarry Smith      use petscmpi              ! or mpi or mpi_f08
16*dfbbaf82SBarry Smith      use petsctao
17*dfbbaf82SBarry Smith#include <petsc/finclude/petsctao.h>
18*dfbbaf82SBarry Smith      PetscReal t(0:213)
19*dfbbaf82SBarry Smith      PetscReal y(0:213)
20*dfbbaf82SBarry Smith      PetscInt  m,n
21*dfbbaf82SBarry Smith      PetscMPIInt  nn
22*dfbbaf82SBarry Smith      PetscMPIInt  rank
23*dfbbaf82SBarry Smith      PetscMPIInt  size
24*dfbbaf82SBarry Smith      PetscMPIInt  idle_tag, die_tag
25*dfbbaf82SBarry Smith      PetscMPIInt  zero,one
26*dfbbaf82SBarry Smith      parameter (m=214)
27*dfbbaf82SBarry Smith      parameter (n=3)
28*dfbbaf82SBarry Smith      parameter (nn=n)
29*dfbbaf82SBarry Smith      parameter (idle_tag=2000)
30*dfbbaf82SBarry Smith      parameter (die_tag=3000)
31*dfbbaf82SBarry Smith      parameter (zero=0,one=1)
32*dfbbaf82SBarry Smith      end module chwirut2fmodule
33*dfbbaf82SBarry Smith
34*dfbbaf82SBarry Smith      program main
35*dfbbaf82SBarry Smith      use chwirut2fmodule
36c4762a1bSJed Brown
37c4762a1bSJed Brown! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
38c4762a1bSJed Brown!                   Variable declarations
39c4762a1bSJed Brown! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
40c4762a1bSJed Brown!
41c4762a1bSJed Brown!  See additional variable declarations in the file chwirut2f.h
42c4762a1bSJed Brown
43c4762a1bSJed Brown      PetscErrorCode   ierr    ! used to check for functions returning nonzeros
44c4762a1bSJed Brown      Vec              x       ! solution vector
45c4762a1bSJed Brown      Vec              f       ! vector of functions
46c4762a1bSJed Brown      Tao        tao     ! Tao context
47c4762a1bSJed Brown
48c4762a1bSJed Brown!  Note: Any user-defined Fortran routines (such as FormGradient)
49c4762a1bSJed Brown!  MUST be declared as external.
50c4762a1bSJed Brown
51c4762a1bSJed Brown      external FormFunction
52c4762a1bSJed Brown
53c4762a1bSJed Brown!  Initialize TAO and PETSc
54d8606c27SBarry Smith      PetscCallA(PetscInitialize(ierr))
55d8606c27SBarry Smith      PetscCallMPIA(MPI_Comm_size(PETSC_COMM_WORLD,size,ierr))
56d8606c27SBarry Smith      PetscCallMPIA(MPI_Comm_rank(PETSC_COMM_WORLD,rank,ierr))
57c4762a1bSJed Brown
58c4762a1bSJed Brown!  Initialize problem parameters
59c4762a1bSJed Brown      call InitializeData()
60c4762a1bSJed Brown
61c4762a1bSJed Brown      if (rank .eq. 0) then
62c4762a1bSJed Brown!  Allocate vectors for the solution and gradient
63d8606c27SBarry Smith         PetscCallA(VecCreateSeq(PETSC_COMM_SELF,n,x,ierr))
64d8606c27SBarry Smith         PetscCallA(VecCreateSeq(PETSC_COMM_SELF,m,f,ierr))
65c4762a1bSJed Brown
66c4762a1bSJed Brown!     The TAO code begins here
67c4762a1bSJed Brown
68c4762a1bSJed Brown!     Create TAO solver
69d8606c27SBarry Smith         PetscCallA(TaoCreate(PETSC_COMM_SELF,tao,ierr))
70d8606c27SBarry Smith         PetscCallA(TaoSetType(tao,TAOPOUNDERS,ierr))
71c4762a1bSJed Brown
72c4762a1bSJed Brown!     Set routines for function, gradient, and hessian evaluation
73d8606c27SBarry Smith         PetscCallA(TaoSetResidualRoutine(tao,f,FormFunction,0,ierr))
74c4762a1bSJed Brown
75c4762a1bSJed Brown!     Optional: Set initial guess
76c4762a1bSJed Brown         call FormStartingPoint(x)
77d8606c27SBarry Smith         PetscCallA(TaoSetSolution(tao, x, ierr))
78c4762a1bSJed Brown
79c4762a1bSJed Brown!     Check for TAO command line options
80d8606c27SBarry Smith         PetscCallA(TaoSetFromOptions(tao,ierr))
81c4762a1bSJed Brown!     SOLVE THE APPLICATION
82d8606c27SBarry Smith         PetscCallA(TaoSolve(tao,ierr))
83c4762a1bSJed Brown
84c4762a1bSJed Brown!     Free TAO data structures
85d8606c27SBarry Smith         PetscCallA(TaoDestroy(tao,ierr))
86c4762a1bSJed Brown
87c4762a1bSJed Brown!     Free PETSc data structures
88d8606c27SBarry Smith         PetscCallA(VecDestroy(x,ierr))
89d8606c27SBarry Smith         PetscCallA(VecDestroy(f,ierr))
90d8606c27SBarry Smith         PetscCallA(StopWorkers(ierr))
91c4762a1bSJed Brown
92c4762a1bSJed Brown      else
93d8606c27SBarry Smith         PetscCallA(TaskWorker(ierr))
94c4762a1bSJed Brown      endif
95c4762a1bSJed Brown
96d8606c27SBarry Smith      PetscCallA(PetscFinalize(ierr))
97c4762a1bSJed Brown      end
98c4762a1bSJed Brown
99c4762a1bSJed Brown! --------------------------------------------------------------------
100c4762a1bSJed Brown!  FormFunction - Evaluates the function f(X) and gradient G(X)
101c4762a1bSJed Brown!
102c4762a1bSJed Brown!  Input Parameters:
103c4762a1bSJed Brown!  tao - the Tao context
104c4762a1bSJed Brown!  X   - input vector
105c4762a1bSJed Brown!  dummy - not used
106c4762a1bSJed Brown!
107c4762a1bSJed Brown!  Output Parameters:
108c4762a1bSJed Brown!  f - function vector
109c4762a1bSJed Brown
110c4762a1bSJed Brown      subroutine FormFunction(tao, x, f, dummy, ierr)
111*dfbbaf82SBarry Smith      use chwirut2fmodule
112c4762a1bSJed Brown
113c4762a1bSJed Brown      Tao        tao
114c4762a1bSJed Brown      Vec              x,f
115c4762a1bSJed Brown      PetscErrorCode   ierr
116c4762a1bSJed Brown
117c4762a1bSJed Brown      PetscInt         i,checkedin
118c4762a1bSJed Brown      PetscInt         finished_tasks
1194a713726SSatish Balay      PetscMPIInt      next_task
120c4762a1bSJed Brown      PetscMPIInt      status(MPI_STATUS_SIZE),tag,source
121c4762a1bSJed Brown      PetscInt         dummy
122c4762a1bSJed Brown
123c4762a1bSJed Brown! PETSc's VecGetArray acts differently in Fortran than it does in C.
124d8606c27SBarry Smith! Calling VecGetArray((Vec) X, (PetscReal) x_array(0:1), (PetscOffset) x_index, ierr))
125c4762a1bSJed Brown! will return an array of doubles referenced by x_array offset by x_index.
126c4762a1bSJed Brown!  i.e.,  to reference the kth element of X, use x_array(k + x_index).
127c4762a1bSJed Brown! Notice that by declaring the arrays with range (0:1), we are using the C 0-indexing practice.
12817a42bb7SSatish Balay      PetscReal        f_v(0:1),x_v(0:1),fval(1)
129c4762a1bSJed Brown      PetscOffset      f_i,x_i
130c4762a1bSJed Brown
131c4762a1bSJed Brown      ierr = 0
132c4762a1bSJed Brown
133c4762a1bSJed Brown!     Get pointers to vector data
134d8606c27SBarry Smith      PetscCall(VecGetArray(x,x_v,x_i,ierr))
135d8606c27SBarry Smith      PetscCall(VecGetArray(f,f_v,f_i,ierr))
136c4762a1bSJed Brown
137c4762a1bSJed Brown!     Compute F(X)
138c4762a1bSJed Brown      if (size .eq. 1) then
139c4762a1bSJed Brown         ! Single processor
140c4762a1bSJed Brown         do i=0,m-1
141d8606c27SBarry Smith            PetscCall(RunSimulation(x_v(x_i),i,f_v(i+f_i),ierr))
142c4762a1bSJed Brown         enddo
143c4762a1bSJed Brown      else
1449dddd249SSatish Balay         ! Multiprocessor main
1454a713726SSatish Balay         next_task = zero
146c4762a1bSJed Brown         finished_tasks = 0
147c4762a1bSJed Brown         checkedin = 0
148c4762a1bSJed Brown
149c4762a1bSJed Brown         do while (finished_tasks .lt. m .or. checkedin .lt. size-1)
150d8606c27SBarry Smith            PetscCallMPI(MPI_Recv(fval,one,MPIU_SCALAR,MPI_ANY_SOURCE,MPI_ANY_TAG,PETSC_COMM_WORLD,status,ierr))
151c4762a1bSJed Brown            tag = status(MPI_TAG)
152c4762a1bSJed Brown            source = status(MPI_SOURCE)
153c4762a1bSJed Brown            if (tag .eq. IDLE_TAG) then
154c4762a1bSJed Brown               checkedin = checkedin + 1
155c4762a1bSJed Brown            else
15617a42bb7SSatish Balay               f_v(f_i+tag) = fval(1)
157c4762a1bSJed Brown               finished_tasks = finished_tasks + 1
158c4762a1bSJed Brown            endif
159c4762a1bSJed Brown            if (next_task .lt. m) then
160c4762a1bSJed Brown               ! Send task to worker
161d8606c27SBarry Smith               PetscCallMPI(MPI_Send(x_v(x_i),nn,MPIU_SCALAR,source,next_task,PETSC_COMM_WORLD,ierr))
1624a713726SSatish Balay               next_task = next_task + one
163c4762a1bSJed Brown            else
164c4762a1bSJed Brown               ! Send idle message to worker
165d8606c27SBarry Smith               PetscCallMPI(MPI_Send(x_v(x_i),nn,MPIU_SCALAR,source,IDLE_TAG,PETSC_COMM_WORLD,ierr))
166c4762a1bSJed Brown            end if
167c4762a1bSJed Brown         enddo
168c4762a1bSJed Brown      endif
169c4762a1bSJed Brown
170c4762a1bSJed Brown!     Restore vectors
171d8606c27SBarry Smith      PetscCall(VecRestoreArray(x,x_v,x_i,ierr))
172d8606c27SBarry Smith      PetscCall(VecRestoreArray(F,f_v,f_i,ierr))
173c4762a1bSJed Brown      return
174c4762a1bSJed Brown      end
175c4762a1bSJed Brown
176c4762a1bSJed Brown      subroutine FormStartingPoint(x)
177*dfbbaf82SBarry Smith      use chwirut2fmodule
178c4762a1bSJed Brown
179c4762a1bSJed Brown      Vec             x
180c4762a1bSJed Brown      PetscReal       x_v(0:1)
181c4762a1bSJed Brown      PetscOffset     x_i
182c4762a1bSJed Brown      PetscErrorCode  ierr
183c4762a1bSJed Brown
184d8606c27SBarry Smith      PetscCall(VecGetArray(x,x_v,x_i,ierr))
185c4762a1bSJed Brown      x_v(x_i) = 0.15
186c4762a1bSJed Brown      x_v(x_i+1) = 0.008
187c4762a1bSJed Brown      x_v(x_i+2) = 0.01
188d8606c27SBarry Smith      PetscCall(VecRestoreArray(x,x_v,x_i,ierr))
189c4762a1bSJed Brown      return
190c4762a1bSJed Brown      end
191c4762a1bSJed Brown
192c4762a1bSJed Brown      subroutine InitializeData()
193*dfbbaf82SBarry Smith      use chwirut2fmodule
194c4762a1bSJed Brown
195c4762a1bSJed Brown      PetscInt i
196c4762a1bSJed Brown      i=0
197c4762a1bSJed Brown      y(i) =    92.9000;  t(i) =  0.5000; i=i+1
198c4762a1bSJed Brown      y(i) =    78.7000;  t(i) =   0.6250; i=i+1
199c4762a1bSJed Brown      y(i) =    64.2000;  t(i) =   0.7500; i=i+1
200c4762a1bSJed Brown      y(i) =    64.9000;  t(i) =   0.8750; i=i+1
201c4762a1bSJed Brown      y(i) =    57.1000;  t(i) =   1.0000; i=i+1
202c4762a1bSJed Brown      y(i) =    43.3000;  t(i) =   1.2500; i=i+1
203c4762a1bSJed Brown      y(i) =    31.1000;  t(i) =  1.7500; i=i+1
204c4762a1bSJed Brown      y(i) =    23.6000;  t(i) =  2.2500; i=i+1
205c4762a1bSJed Brown      y(i) =    31.0500;  t(i) =  1.7500; i=i+1
206c4762a1bSJed Brown      y(i) =    23.7750;  t(i) =  2.2500; i=i+1
207c4762a1bSJed Brown      y(i) =    17.7375;  t(i) =  2.7500; i=i+1
208c4762a1bSJed Brown      y(i) =    13.8000;  t(i) =  3.2500; i=i+1
209c4762a1bSJed Brown      y(i) =    11.5875;  t(i) =  3.7500; i=i+1
210c4762a1bSJed Brown      y(i) =     9.4125;  t(i) =  4.2500; i=i+1
211c4762a1bSJed Brown      y(i) =     7.7250;  t(i) =  4.7500; i=i+1
212c4762a1bSJed Brown      y(i) =     7.3500;  t(i) =  5.2500; i=i+1
213c4762a1bSJed Brown      y(i) =     8.0250;  t(i) =  5.7500; i=i+1
214c4762a1bSJed Brown      y(i) =    90.6000;  t(i) =  0.5000; i=i+1
215c4762a1bSJed Brown      y(i) =    76.9000;  t(i) =  0.6250; i=i+1
216c4762a1bSJed Brown      y(i) =    71.6000;  t(i) = 0.7500; i=i+1
217c4762a1bSJed Brown      y(i) =    63.6000;  t(i) =  0.8750; i=i+1
218c4762a1bSJed Brown      y(i) =    54.0000;  t(i) =  1.0000; i=i+1
219c4762a1bSJed Brown      y(i) =    39.2000;  t(i) =  1.2500; i=i+1
220c4762a1bSJed Brown      y(i) =    29.3000;  t(i) = 1.7500; i=i+1
221c4762a1bSJed Brown      y(i) =    21.4000;  t(i) =  2.2500; i=i+1
222c4762a1bSJed Brown      y(i) =    29.1750;  t(i) =  1.7500; i=i+1
223c4762a1bSJed Brown      y(i) =    22.1250;  t(i) =  2.2500; i=i+1
224c4762a1bSJed Brown      y(i) =    17.5125;  t(i) =  2.7500; i=i+1
225c4762a1bSJed Brown      y(i) =    14.2500;  t(i) =  3.2500; i=i+1
226c4762a1bSJed Brown      y(i) =     9.4500;  t(i) =  3.7500; i=i+1
227c4762a1bSJed Brown      y(i) =     9.1500;  t(i) =  4.2500; i=i+1
228c4762a1bSJed Brown      y(i) =     7.9125;  t(i) =  4.7500; i=i+1
229c4762a1bSJed Brown      y(i) =     8.4750;  t(i) =  5.2500; i=i+1
230c4762a1bSJed Brown      y(i) =     6.1125;  t(i) =  5.7500; i=i+1
231c4762a1bSJed Brown      y(i) =    80.0000;  t(i) =  0.5000; i=i+1
232c4762a1bSJed Brown      y(i) =    79.0000;  t(i) =  0.6250; i=i+1
233c4762a1bSJed Brown      y(i) =    63.8000;  t(i) =  0.7500; i=i+1
234c4762a1bSJed Brown      y(i) =    57.2000;  t(i) =  0.8750; i=i+1
235c4762a1bSJed Brown      y(i) =    53.2000;  t(i) =  1.0000; i=i+1
236c4762a1bSJed Brown      y(i) =    42.5000;  t(i) =  1.2500; i=i+1
237c4762a1bSJed Brown      y(i) =    26.8000;  t(i) =  1.7500; i=i+1
238c4762a1bSJed Brown      y(i) =    20.4000;  t(i) =  2.2500; i=i+1
239c4762a1bSJed Brown      y(i) =    26.8500;  t(i) =   1.7500; i=i+1
240c4762a1bSJed Brown      y(i) =    21.0000;  t(i) =   2.2500; i=i+1
241c4762a1bSJed Brown      y(i) =    16.4625;  t(i) =   2.7500; i=i+1
242c4762a1bSJed Brown      y(i) =    12.5250;  t(i) =   3.2500; i=i+1
243c4762a1bSJed Brown      y(i) =    10.5375;  t(i) =   3.7500; i=i+1
244c4762a1bSJed Brown      y(i) =     8.5875;  t(i) =   4.2500; i=i+1
245c4762a1bSJed Brown      y(i) =     7.1250;  t(i) =   4.7500; i=i+1
246c4762a1bSJed Brown      y(i) =     6.1125;  t(i) =   5.2500; i=i+1
247c4762a1bSJed Brown      y(i) =     5.9625;  t(i) =   5.7500; i=i+1
248c4762a1bSJed Brown      y(i) =    74.1000;  t(i) =   0.5000; i=i+1
249c4762a1bSJed Brown      y(i) =    67.3000;  t(i) =   0.6250; i=i+1
250c4762a1bSJed Brown      y(i) =    60.8000;  t(i) =   0.7500; i=i+1
251c4762a1bSJed Brown      y(i) =    55.5000;  t(i) =   0.8750; i=i+1
252c4762a1bSJed Brown      y(i) =    50.3000;  t(i) =   1.0000; i=i+1
253c4762a1bSJed Brown      y(i) =    41.0000;  t(i) =   1.2500; i=i+1
254c4762a1bSJed Brown      y(i) =    29.4000;  t(i) =   1.7500; i=i+1
255c4762a1bSJed Brown      y(i) =    20.4000;  t(i) =   2.2500; i=i+1
256c4762a1bSJed Brown      y(i) =    29.3625;  t(i) =   1.7500; i=i+1
257c4762a1bSJed Brown      y(i) =    21.1500;  t(i) =   2.2500; i=i+1
258c4762a1bSJed Brown      y(i) =    16.7625;  t(i) =   2.7500; i=i+1
259c4762a1bSJed Brown      y(i) =    13.2000;  t(i) =   3.2500; i=i+1
260c4762a1bSJed Brown      y(i) =    10.8750;  t(i) =   3.7500; i=i+1
261c4762a1bSJed Brown      y(i) =     8.1750;  t(i) =   4.2500; i=i+1
262c4762a1bSJed Brown      y(i) =     7.3500;  t(i) =   4.7500; i=i+1
263c4762a1bSJed Brown      y(i) =     5.9625;  t(i) =  5.2500; i=i+1
264c4762a1bSJed Brown      y(i) =     5.6250;  t(i) =   5.7500; i=i+1
265c4762a1bSJed Brown      y(i) =    81.5000;  t(i) =    .5000; i=i+1
266c4762a1bSJed Brown      y(i) =    62.4000;  t(i) =    .7500; i=i+1
267c4762a1bSJed Brown      y(i) =    32.5000;  t(i) =   1.5000; i=i+1
268c4762a1bSJed Brown      y(i) =    12.4100;  t(i) =   3.0000; i=i+1
269c4762a1bSJed Brown      y(i) =    13.1200;  t(i) =   3.0000; i=i+1
270c4762a1bSJed Brown      y(i) =    15.5600;  t(i) =   3.0000; i=i+1
271c4762a1bSJed Brown      y(i) =     5.6300;  t(i) =   6.0000; i=i+1
272c4762a1bSJed Brown      y(i) =    78.0000;  t(i) =   .5000; i=i+1
273c4762a1bSJed Brown      y(i) =    59.9000;  t(i) =    .7500; i=i+1
274c4762a1bSJed Brown      y(i) =    33.2000;  t(i) =   1.5000; i=i+1
275c4762a1bSJed Brown      y(i) =    13.8400;  t(i) =   3.0000; i=i+1
276c4762a1bSJed Brown      y(i) =    12.7500;  t(i) =   3.0000; i=i+1
277c4762a1bSJed Brown      y(i) =    14.6200;  t(i) =   3.0000; i=i+1
278c4762a1bSJed Brown      y(i) =     3.9400;  t(i) =   6.0000; i=i+1
279c4762a1bSJed Brown      y(i) =    76.8000;  t(i) =    .5000; i=i+1
280c4762a1bSJed Brown      y(i) =    61.0000;  t(i) =    .7500; i=i+1
281c4762a1bSJed Brown      y(i) =    32.9000;  t(i) =   1.5000; i=i+1
282c4762a1bSJed Brown      y(i) =    13.8700;  t(i) = 3.0000; i=i+1
283c4762a1bSJed Brown      y(i) =    11.8100;  t(i) =   3.0000; i=i+1
284c4762a1bSJed Brown      y(i) =    13.3100;  t(i) =   3.0000; i=i+1
285c4762a1bSJed Brown      y(i) =     5.4400;  t(i) =   6.0000; i=i+1
286c4762a1bSJed Brown      y(i) =    78.0000;  t(i) =    .5000; i=i+1
287c4762a1bSJed Brown      y(i) =    63.5000;  t(i) =    .7500; i=i+1
288c4762a1bSJed Brown      y(i) =    33.8000;  t(i) =   1.5000; i=i+1
289c4762a1bSJed Brown      y(i) =    12.5600;  t(i) =   3.0000; i=i+1
290c4762a1bSJed Brown      y(i) =     5.6300;  t(i) =   6.0000; i=i+1
291c4762a1bSJed Brown      y(i) =    12.7500;  t(i) =   3.0000; i=i+1
292c4762a1bSJed Brown      y(i) =    13.1200;  t(i) =   3.0000; i=i+1
293c4762a1bSJed Brown      y(i) =     5.4400;  t(i) =   6.0000; i=i+1
294c4762a1bSJed Brown      y(i) =    76.8000;  t(i) =    .5000; i=i+1
295c4762a1bSJed Brown      y(i) =    60.0000;  t(i) =    .7500; i=i+1
296c4762a1bSJed Brown      y(i) =    47.8000;  t(i) =   1.0000; i=i+1
297c4762a1bSJed Brown      y(i) =    32.0000;  t(i) =   1.5000; i=i+1
298c4762a1bSJed Brown      y(i) =    22.2000;  t(i) =   2.0000; i=i+1
299c4762a1bSJed Brown      y(i) =    22.5700;  t(i) =   2.0000; i=i+1
300c4762a1bSJed Brown      y(i) =    18.8200;  t(i) =   2.5000; i=i+1
301c4762a1bSJed Brown      y(i) =    13.9500;  t(i) =   3.0000; i=i+1
302c4762a1bSJed Brown      y(i) =    11.2500;  t(i) =   4.0000; i=i+1
303c4762a1bSJed Brown      y(i) =     9.0000;  t(i) =   5.0000; i=i+1
304c4762a1bSJed Brown      y(i) =     6.6700;  t(i) =   6.0000; i=i+1
305c4762a1bSJed Brown      y(i) =    75.8000;  t(i) =    .5000; i=i+1
306c4762a1bSJed Brown      y(i) =    62.0000;  t(i) =    .7500; i=i+1
307c4762a1bSJed Brown      y(i) =    48.8000;  t(i) =   1.0000; i=i+1
308c4762a1bSJed Brown      y(i) =    35.2000;  t(i) =   1.5000; i=i+1
309c4762a1bSJed Brown      y(i) =    20.0000;  t(i) =   2.0000; i=i+1
310c4762a1bSJed Brown      y(i) =    20.3200;  t(i) =   2.0000; i=i+1
311c4762a1bSJed Brown      y(i) =    19.3100;  t(i) =   2.5000; i=i+1
312c4762a1bSJed Brown      y(i) =    12.7500;  t(i) =   3.0000; i=i+1
313c4762a1bSJed Brown      y(i) =    10.4200;  t(i) =   4.0000; i=i+1
314c4762a1bSJed Brown      y(i) =     7.3100;  t(i) =   5.0000; i=i+1
315c4762a1bSJed Brown      y(i) =     7.4200;  t(i) =   6.0000; i=i+1
316c4762a1bSJed Brown      y(i) =    70.5000;  t(i) =    .5000; i=i+1
317c4762a1bSJed Brown      y(i) =    59.5000;  t(i) =    .7500; i=i+1
318c4762a1bSJed Brown      y(i) =    48.5000;  t(i) =   1.0000; i=i+1
319c4762a1bSJed Brown      y(i) =    35.8000;  t(i) =   1.5000; i=i+1
320c4762a1bSJed Brown      y(i) =    21.0000;  t(i) =   2.0000; i=i+1
321c4762a1bSJed Brown      y(i) =    21.6700;  t(i) =   2.0000; i=i+1
322c4762a1bSJed Brown      y(i) =    21.0000;  t(i) =   2.5000; i=i+1
323c4762a1bSJed Brown      y(i) =    15.6400;  t(i) =   3.0000; i=i+1
324c4762a1bSJed Brown      y(i) =     8.1700;  t(i) =   4.0000; i=i+1
325c4762a1bSJed Brown      y(i) =     8.5500;  t(i) =   5.0000; i=i+1
326c4762a1bSJed Brown      y(i) =    10.1200;  t(i) =   6.0000; i=i+1
327c4762a1bSJed Brown      y(i) =    78.0000;  t(i) =    .5000; i=i+1
328c4762a1bSJed Brown      y(i) =    66.0000;  t(i) =    .6250; i=i+1
329c4762a1bSJed Brown      y(i) =    62.0000;  t(i) =    .7500; i=i+1
330c4762a1bSJed Brown      y(i) =    58.0000;  t(i) =    .8750; i=i+1
331c4762a1bSJed Brown      y(i) =    47.7000;  t(i) =   1.0000; i=i+1
332c4762a1bSJed Brown      y(i) =    37.8000;  t(i) =   1.2500; i=i+1
333c4762a1bSJed Brown      y(i) =    20.2000;  t(i) =   2.2500; i=i+1
334c4762a1bSJed Brown      y(i) =    21.0700;  t(i) =   2.2500; i=i+1
335c4762a1bSJed Brown      y(i) =    13.8700;  t(i) =   2.7500; i=i+1
336c4762a1bSJed Brown      y(i) =     9.6700;  t(i) =   3.2500; i=i+1
337c4762a1bSJed Brown      y(i) =     7.7600;  t(i) =   3.7500; i=i+1
338c4762a1bSJed Brown      y(i) =     5.4400;  t(i) =  4.2500; i=i+1
339c4762a1bSJed Brown      y(i) =     4.8700;  t(i) =  4.7500; i=i+1
340c4762a1bSJed Brown      y(i) =     4.0100;  t(i) =   5.2500; i=i+1
341c4762a1bSJed Brown      y(i) =     3.7500;  t(i) =   5.7500; i=i+1
342c4762a1bSJed Brown      y(i) =    24.1900;  t(i) =   3.0000; i=i+1
343c4762a1bSJed Brown      y(i) =    25.7600;  t(i) =   3.0000; i=i+1
344c4762a1bSJed Brown      y(i) =    18.0700;  t(i) =   3.0000; i=i+1
345c4762a1bSJed Brown      y(i) =    11.8100;  t(i) =   3.0000; i=i+1
346c4762a1bSJed Brown      y(i) =    12.0700;  t(i) =   3.0000; i=i+1
347c4762a1bSJed Brown      y(i) =    16.1200;  t(i) =   3.0000; i=i+1
348c4762a1bSJed Brown      y(i) =    70.8000;  t(i) =    .5000; i=i+1
349c4762a1bSJed Brown      y(i) =    54.7000;  t(i) =    .7500; i=i+1
350c4762a1bSJed Brown      y(i) =    48.0000;  t(i) =   1.0000; i=i+1
351c4762a1bSJed Brown      y(i) =    39.8000;  t(i) =   1.5000; i=i+1
352c4762a1bSJed Brown      y(i) =    29.8000;  t(i) =   2.0000; i=i+1
353c4762a1bSJed Brown      y(i) =    23.7000;  t(i) =   2.5000; i=i+1
354c4762a1bSJed Brown      y(i) =    29.6200;  t(i) =   2.0000; i=i+1
355c4762a1bSJed Brown      y(i) =    23.8100;  t(i) =   2.5000; i=i+1
356c4762a1bSJed Brown      y(i) =    17.7000;  t(i) =   3.0000; i=i+1
357c4762a1bSJed Brown      y(i) =    11.5500;  t(i) =   4.0000; i=i+1
358c4762a1bSJed Brown      y(i) =    12.0700;  t(i) =   5.0000; i=i+1
359c4762a1bSJed Brown      y(i) =     8.7400;  t(i) =   6.0000; i=i+1
360c4762a1bSJed Brown      y(i) =    80.7000;  t(i) =    .5000; i=i+1
361c4762a1bSJed Brown      y(i) =    61.3000;  t(i) =    .7500; i=i+1
362c4762a1bSJed Brown      y(i) =    47.5000;  t(i) =   1.0000; i=i+1
363c4762a1bSJed Brown      y(i) =    29.0000;  t(i) =   1.5000; i=i+1
364c4762a1bSJed Brown      y(i) =    24.0000;  t(i) =   2.0000; i=i+1
365c4762a1bSJed Brown      y(i) =    17.7000;  t(i) =   2.5000; i=i+1
366c4762a1bSJed Brown      y(i) =    24.5600;  t(i) =   2.0000; i=i+1
367c4762a1bSJed Brown      y(i) =    18.6700;  t(i) =   2.5000; i=i+1
368c4762a1bSJed Brown      y(i) =    16.2400;  t(i) =   3.0000; i=i+1
369c4762a1bSJed Brown      y(i) =     8.7400;  t(i) =   4.0000; i=i+1
370c4762a1bSJed Brown      y(i) =     7.8700;  t(i) =   5.0000; i=i+1
371c4762a1bSJed Brown      y(i) =     8.5100;  t(i) =   6.0000; i=i+1
372c4762a1bSJed Brown      y(i) =    66.7000;  t(i) =    .5000; i=i+1
373c4762a1bSJed Brown      y(i) =    59.2000;  t(i) =    .7500; i=i+1
374c4762a1bSJed Brown      y(i) =    40.8000;  t(i) =   1.0000; i=i+1
375c4762a1bSJed Brown      y(i) =    30.7000;  t(i) =   1.5000; i=i+1
376c4762a1bSJed Brown      y(i) =    25.7000;  t(i) =   2.0000; i=i+1
377c4762a1bSJed Brown      y(i) =    16.3000;  t(i) =   2.5000; i=i+1
378c4762a1bSJed Brown      y(i) =    25.9900;  t(i) =   2.0000; i=i+1
379c4762a1bSJed Brown      y(i) =    16.9500;  t(i) =   2.5000; i=i+1
380c4762a1bSJed Brown      y(i) =    13.3500;  t(i) =   3.0000; i=i+1
381c4762a1bSJed Brown      y(i) =     8.6200;  t(i) =   4.0000; i=i+1
382c4762a1bSJed Brown      y(i) =     7.2000;  t(i) =   5.0000; i=i+1
383c4762a1bSJed Brown      y(i) =     6.6400;  t(i) =   6.0000; i=i+1
384c4762a1bSJed Brown      y(i) =    13.6900;  t(i) =   3.0000; i=i+1
385c4762a1bSJed Brown      y(i) =    81.0000;  t(i) =    .5000; i=i+1
386c4762a1bSJed Brown      y(i) =    64.5000;  t(i) =    .7500; i=i+1
387c4762a1bSJed Brown      y(i) =    35.5000;  t(i) =   1.5000; i=i+1
388c4762a1bSJed Brown      y(i) =    13.3100;  t(i) =   3.0000; i=i+1
389c4762a1bSJed Brown      y(i) =     4.8700;  t(i) =   6.0000; i=i+1
390c4762a1bSJed Brown      y(i) =    12.9400;  t(i) =   3.0000; i=i+1
391c4762a1bSJed Brown      y(i) =     5.0600;  t(i) =   6.0000; i=i+1
392c4762a1bSJed Brown      y(i) =    15.1900;  t(i) =   3.0000; i=i+1
393c4762a1bSJed Brown      y(i) =    14.6200;  t(i) =   3.0000; i=i+1
394c4762a1bSJed Brown      y(i) =    15.6400;  t(i) =   3.0000; i=i+1
395c4762a1bSJed Brown      y(i) =    25.5000;  t(i) =   1.7500; i=i+1
396c4762a1bSJed Brown      y(i) =    25.9500;  t(i) =   1.7500; i=i+1
397c4762a1bSJed Brown      y(i) =    81.7000;  t(i) =    .5000; i=i+1
398c4762a1bSJed Brown      y(i) =    61.6000;  t(i) =    .7500; i=i+1
399c4762a1bSJed Brown      y(i) =    29.8000;  t(i) =   1.7500; i=i+1
400c4762a1bSJed Brown      y(i) =    29.8100;  t(i) =   1.7500; i=i+1
401c4762a1bSJed Brown      y(i) =    17.1700;  t(i) =   2.7500; i=i+1
402c4762a1bSJed Brown      y(i) =    10.3900;  t(i) =   3.7500; i=i+1
403c4762a1bSJed Brown      y(i) =    28.4000;  t(i) =   1.7500; i=i+1
404c4762a1bSJed Brown      y(i) =    28.6900;  t(i) =   1.7500; i=i+1
405c4762a1bSJed Brown      y(i) =    81.3000;  t(i) =    .5000; i=i+1
406c4762a1bSJed Brown      y(i) =    60.9000;  t(i) =    .7500; i=i+1
407c4762a1bSJed Brown      y(i) =    16.6500;  t(i) =   2.7500; i=i+1
408c4762a1bSJed Brown      y(i) =    10.0500;  t(i) =   3.7500; i=i+1
409c4762a1bSJed Brown      y(i) =    28.9000;  t(i) =   1.7500; i=i+1
410c4762a1bSJed Brown      y(i) =    28.9500;  t(i) =   1.7500; i=i+1
411c4762a1bSJed Brown
412c4762a1bSJed Brown      return
413c4762a1bSJed Brown      end
414c4762a1bSJed Brown
415c4762a1bSJed Brown      subroutine TaskWorker(ierr)
416*dfbbaf82SBarry Smith      use chwirut2fmodule
417c4762a1bSJed Brown
418c4762a1bSJed Brown      PetscErrorCode ierr
41917a42bb7SSatish Balay      PetscReal x(n),f(1)
420c4762a1bSJed Brown      PetscMPIInt tag
421c4762a1bSJed Brown      PetscInt index
422c4762a1bSJed Brown      PetscMPIInt status(MPI_STATUS_SIZE)
423c4762a1bSJed Brown
424c4762a1bSJed Brown      tag = IDLE_TAG
425c4762a1bSJed Brown      f   = 0.0
4269dddd249SSatish Balay      ! Send check-in message to rank-0
427d8606c27SBarry Smith      PetscCallMPI(MPI_Send(f,one,MPIU_SCALAR,zero,IDLE_TAG,PETSC_COMM_WORLD,ierr))
428c4762a1bSJed Brown      do while (tag .ne. DIE_TAG)
429d8606c27SBarry Smith         PetscCallMPI(MPI_Recv(x,nn,MPIU_SCALAR,zero,MPI_ANY_TAG,PETSC_COMM_WORLD,status,ierr))
430c4762a1bSJed Brown         tag = status(MPI_TAG)
431c4762a1bSJed Brown         if (tag .eq. IDLE_TAG) then
432d8606c27SBarry Smith            PetscCallMPI(MPI_Send(f,one,MPIU_SCALAR,zero,IDLE_TAG,PETSC_COMM_WORLD,ierr))
433c4762a1bSJed Brown         else if (tag .ne. DIE_TAG) then
434c4762a1bSJed Brown            index = tag
435c4762a1bSJed Brown            ! Compute local part of residual
436d8606c27SBarry Smith            PetscCall(RunSimulation(x,index,f(1),ierr))
437c4762a1bSJed Brown
4389dddd249SSatish Balay            ! Return residual to rank-0
439d8606c27SBarry Smith            PetscCallMPI(MPI_Send(f,one,MPIU_SCALAR,zero,tag,PETSC_COMM_WORLD,ierr))
440c4762a1bSJed Brown         end if
441c4762a1bSJed Brown      enddo
442c4762a1bSJed Brown      ierr = 0
443c4762a1bSJed Brown      return
444c4762a1bSJed Brown      end
445c4762a1bSJed Brown
446c4762a1bSJed Brown      subroutine RunSimulation(x,i,f,ierr)
447*dfbbaf82SBarry Smith      use chwirut2fmodule
448c4762a1bSJed Brown
449c4762a1bSJed Brown      PetscReal x(n),f
450c4762a1bSJed Brown      PetscInt i
451c4762a1bSJed Brown      PetscErrorCode ierr
452c4762a1bSJed Brown      f = y(i) - exp(-x(1)*t(i))/(x(2)+x(3)*t(i))
453c4762a1bSJed Brown      ierr = 0
454c4762a1bSJed Brown      return
455c4762a1bSJed Brown      end
456c4762a1bSJed Brown
457c4762a1bSJed Brown      subroutine StopWorkers(ierr)
458*dfbbaf82SBarry Smith      use chwirut2fmodule
459c4762a1bSJed Brown
460c4762a1bSJed Brown      integer checkedin
461c4762a1bSJed Brown      PetscMPIInt status(MPI_STATUS_SIZE)
462c4762a1bSJed Brown      PetscMPIInt source
46317a42bb7SSatish Balay      PetscReal f(1),x(n)
464c4762a1bSJed Brown      PetscErrorCode ierr
465c4762a1bSJed Brown      PetscInt i
466c4762a1bSJed Brown
467c4762a1bSJed Brown      checkedin=0
468c4762a1bSJed Brown      do while (checkedin .lt. size-1)
469d8606c27SBarry Smith         PetscCallMPI(MPI_Recv(f,one,MPIU_SCALAR,MPI_ANY_SOURCE,MPI_ANY_TAG,PETSC_COMM_WORLD,status,ierr))
470c4762a1bSJed Brown         checkedin=checkedin+1
471c4762a1bSJed Brown         source = status(MPI_SOURCE)
472c4762a1bSJed Brown         do i=1,n
473c4762a1bSJed Brown           x(i) = 0.0
474c4762a1bSJed Brown         enddo
475d8606c27SBarry Smith         PetscCallMPI(MPI_Send(x,nn,MPIU_SCALAR,source,DIE_TAG,PETSC_COMM_WORLD,ierr))
476c4762a1bSJed Brown      enddo
477c4762a1bSJed Brown      ierr = 0
478c4762a1bSJed Brown      return
479c4762a1bSJed Brown      end
480c4762a1bSJed Brown
481c4762a1bSJed Brown!/*TEST
482c4762a1bSJed Brown!
483c4762a1bSJed Brown!   build:
484c4762a1bSJed Brown!      requires: !complex
485c4762a1bSJed Brown!
486c4762a1bSJed Brown!   test:
487c4762a1bSJed Brown!      nsize: 3
488c4762a1bSJed Brown!      args: -tao_smonitor -tao_max_it 100 -tao_type pounders -tao_gatol 1.e-5
489c4762a1bSJed Brown!      requires: !single
490c4762a1bSJed Brown!
491c4762a1bSJed Brown!
492c4762a1bSJed Brown!TEST*/
493