xref: /petsc/src/tao/leastsquares/tutorials/chwirut1f.F90 (revision a00960a21f7efec6fd0831578dc591345fde4064)
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 test_chwirut1.c
9c4762a1bSJed Brown!
10c4762a1bSJed Brown!!/*T
11c4762a1bSJed Brown!  Concepts: TAO^Solving an unconstrained minimization problem
12c4762a1bSJed Brown!  Routines: TaoCreate();
13c4762a1bSJed Brown!  Routines: TaoSetType();
14c4762a1bSJed Brown!  Routines: TaoSetInitialVector();
15c4762a1bSJed Brown!  Routines: TaoSetResidualRoutine();
16c4762a1bSJed Brown!  Routines: TaoSetFromOptions();
17c4762a1bSJed Brown!  Routines: TaoSolve();
18c4762a1bSJed Brown!  Routines: TaoDestroy();
19c4762a1bSJed Brown!  Processors: 1
20c4762a1bSJed Brown!T*/
21c4762a1bSJed Brown
22c4762a1bSJed Brown
23c4762a1bSJed Brown!
24c4762a1bSJed Brown! ----------------------------------------------------------------------
25c4762a1bSJed Brown!
26c4762a1bSJed Brown#include "chwirut1f.h"
27c4762a1bSJed Brown
28c4762a1bSJed Brown! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
29c4762a1bSJed Brown!                   Variable declarations
30c4762a1bSJed Brown! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
31c4762a1bSJed Brown!
32c4762a1bSJed Brown!  See additional variable declarations in the file chwirut1f.h
33c4762a1bSJed Brown
34c4762a1bSJed Brown      PetscErrorCode   ierr    ! used to check for functions returning nonzeros
35c4762a1bSJed Brown      Vec              x       ! solution vector
36c4762a1bSJed Brown      Vec              f       ! vector of functions
37c4762a1bSJed Brown      Tao        tao     ! Tao context
38c4762a1bSJed Brown      PetscInt         nhist
39c4762a1bSJed Brown      PetscMPIInt  size,rank    ! number of processes running
40c4762a1bSJed Brown      PetscReal      zero
41c4762a1bSJed Brown      PetscReal      hist(100) ! objective value history
42c4762a1bSJed Brown      PetscReal      resid(100)! residual history
43c4762a1bSJed Brown      PetscReal      cnorm(100)! cnorm history
44c4762a1bSJed Brown      PetscInt      lits(100)   ! #ksp history
45c4762a1bSJed Brown      PetscInt oh
46c4762a1bSJed Brown      TaoConvergedReason reason
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      zero = 0.0
54c4762a1bSJed Brown
55c4762a1bSJed Brown!  Initialize TAO and PETSc
56c4762a1bSJed Brown      call PetscInitialize(PETSC_NULL_CHARACTER,ierr)
57c4762a1bSJed Brown      if (ierr .ne. 0) then
58c4762a1bSJed Brown         print*,'Unable to initialize PETSc'
59c4762a1bSJed Brown         stop
60c4762a1bSJed Brown      endif
61c4762a1bSJed Brown
62c4762a1bSJed Brown      call MPI_Comm_size(PETSC_COMM_WORLD,size,ierr)
63c4762a1bSJed Brown      call MPI_Comm_rank(PETSC_COMM_WORLD,rank,ierr)
64c4762a1bSJed Brown      if (size .ne. 1) then; SETERRA(PETSC_COMM_SELF,PETSC_ERR_WRONG_MPI_SIZE,'This is a uniprocessor example only '); endif
65c4762a1bSJed Brown
66c4762a1bSJed Brown!  Initialize problem parameters
67c4762a1bSJed Brown      m = 214
68c4762a1bSJed Brown      n = 3
69c4762a1bSJed Brown
70c4762a1bSJed Brown
71c4762a1bSJed Brown!  Allocate vectors for the solution and gradient
72c4762a1bSJed Brown      call VecCreateSeq(PETSC_COMM_SELF,n,x,ierr)
73c4762a1bSJed Brown      call VecCreateSeq(PETSC_COMM_SELF,m,f,ierr)
74c4762a1bSJed Brown
75c4762a1bSJed Brown
76c4762a1bSJed Brown!  The TAO code begins here
77c4762a1bSJed Brown
78c4762a1bSJed Brown!  Create TAO solver
79c4762a1bSJed Brown      call TaoCreate(PETSC_COMM_SELF,tao,ierr);CHKERRA(ierr)
80c4762a1bSJed Brown      call TaoSetType(tao,TAOPOUNDERS,ierr);CHKERRA(ierr)
81c4762a1bSJed Brown!  Set routines for function, gradient, and hessian evaluation
82c4762a1bSJed Brown
83c4762a1bSJed Brown      call TaoSetResidualRoutine(tao,f,                       &
84c4762a1bSJed Brown     &      FormFunction,0,ierr)
85c4762a1bSJed Brown      CHKERRA(ierr)
86c4762a1bSJed Brown
87c4762a1bSJed Brown!  Optional: Set initial guess
88c4762a1bSJed Brown      call InitializeData()
89c4762a1bSJed Brown      call FormStartingPoint(x)
90c4762a1bSJed Brown      call TaoSetInitialVector(tao, x, ierr)
91c4762a1bSJed Brown      CHKERRA(ierr)
92c4762a1bSJed Brown
93c4762a1bSJed Brown
94c4762a1bSJed Brown!  Check for TAO command line options
95c4762a1bSJed Brown      call TaoSetFromOptions(tao,ierr)
96c4762a1bSJed Brown      CHKERRA(ierr)
97c4762a1bSJed Brown      oh = 100
98c4762a1bSJed Brown      call TaoSetConvergenceHistory(tao,hist,resid,cnorm,lits,          &
99c4762a1bSJed Brown     &     oh,PETSC_TRUE,ierr)
100c4762a1bSJed Brown      CHKERRA(ierr)
101c4762a1bSJed Brown!  SOLVE THE APPLICATION
102c4762a1bSJed Brown      call TaoSolve(tao,ierr)
103c4762a1bSJed Brown      CHKERRA(ierr)
104c4762a1bSJed Brown      call TaoGetConvergenceHistory(tao,nhist,ierr)
105c4762a1bSJed Brown      CHKERRA(ierr)
106c4762a1bSJed Brown      call TaoGetConvergedReason(tao, reason, ierr)
107c4762a1bSJed Brown      if (reason .le. 0) then
108c4762a1bSJed Brown         print *,'Tao failed.'
109c4762a1bSJed Brown         print *,'Try a different TAO method, adjust some parameters,'
110c4762a1bSJed Brown         print *,'or check the function evaluation routines.'
111c4762a1bSJed Brown      endif
112c4762a1bSJed Brown
113c4762a1bSJed Brown!  Free TAO data structures
114c4762a1bSJed Brown      call TaoDestroy(tao,ierr)
115c4762a1bSJed Brown
116c4762a1bSJed Brown!  Free PETSc data structures
117c4762a1bSJed Brown      call VecDestroy(x,ierr)
118c4762a1bSJed Brown      call VecDestroy(f,ierr)
119c4762a1bSJed Brown
120c4762a1bSJed Brown      call PetscFinalize(ierr)
121c4762a1bSJed Brown
122c4762a1bSJed Brown      end
123c4762a1bSJed Brown
124c4762a1bSJed Brown
125c4762a1bSJed Brown! --------------------------------------------------------------------
126c4762a1bSJed Brown!  FormFunction - Evaluates the function f(X) and gradient G(X)
127c4762a1bSJed Brown!
128c4762a1bSJed Brown!  Input Parameters:
129c4762a1bSJed Brown!  tao - the Tao context
130c4762a1bSJed Brown!  X   - input vector
131c4762a1bSJed Brown!  dummy - not used
132c4762a1bSJed Brown!
133c4762a1bSJed Brown!  Output Parameters:
134c4762a1bSJed Brown!  f - function vector
135c4762a1bSJed Brown
136c4762a1bSJed Brown      subroutine FormFunction(tao, x, f, dummy, ierr)
137c4762a1bSJed Brown#include "chwirut1f.h"
138c4762a1bSJed Brown
139c4762a1bSJed Brown      Tao        tao
140c4762a1bSJed Brown      Vec              x,f
141c4762a1bSJed Brown      PetscErrorCode   ierr
142c4762a1bSJed Brown      PetscInt         dummy
143c4762a1bSJed Brown
144c4762a1bSJed Brown      PetscInt         i
145*a00960a2SBarry Smith      PetscScalar, pointer, dimension(:)  :: x_v,f_v
146c4762a1bSJed Brown
147c4762a1bSJed Brown      ierr = 0
148c4762a1bSJed Brown
149c4762a1bSJed Brown!     Get pointers to vector data
150*a00960a2SBarry Smith      call VecGetArrayF90(x,x_v,ierr);CHKERRQ(ierr)
151*a00960a2SBarry Smith      call VecGetArrayF90(f,f_v,ierr);CHKERRQ(ierr)
152c4762a1bSJed Brown
153c4762a1bSJed Brown
154c4762a1bSJed Brown!     Compute F(X)
155c4762a1bSJed Brown      do i=0,m-1
156*a00960a2SBarry Smith         f_v(i+1) = y(i) - exp(-x_v(1)*t(i))/(x_v(2) + x_v(3)*t(i))
157c4762a1bSJed Brown      enddo
158c4762a1bSJed Brown
159c4762a1bSJed Brown
160c4762a1bSJed Brown!     Restore vectors
161*a00960a2SBarry Smith      call VecRestoreArrayF90(X,x_v,ierr);CHKERRQ(ierr)
162*a00960a2SBarry Smith      call VecRestoreArrayF90(F,f_v,ierr);CHKERRQ(ierr)
163c4762a1bSJed Brown
164c4762a1bSJed Brown
165c4762a1bSJed Brown      return
166c4762a1bSJed Brown      end
167c4762a1bSJed Brown
168c4762a1bSJed Brown      subroutine FormStartingPoint(x)
169c4762a1bSJed Brown#include "chwirut1f.h"
170c4762a1bSJed Brown
171c4762a1bSJed Brown      Vec             x
172*a00960a2SBarry Smith      PetscScalar, pointer, dimension(:)  :: x_v
173c4762a1bSJed Brown      PetscErrorCode  ierr
174c4762a1bSJed Brown
175*a00960a2SBarry Smith      call VecGetArrayF90(x,x_v,ierr)
176*a00960a2SBarry Smith      x_v(1) = 0.15
177*a00960a2SBarry Smith      x_v(2) = 0.008
178*a00960a2SBarry Smith      x_v(3) = 0.01
179*a00960a2SBarry Smith      call VecRestoreArrayF90(x,x_v,ierr)
180c4762a1bSJed Brown      return
181c4762a1bSJed Brown      end
182c4762a1bSJed Brown
183c4762a1bSJed Brown      subroutine InitializeData()
184c4762a1bSJed Brown#include "chwirut1f.h"
185c4762a1bSJed Brown
186c4762a1bSJed Brown      integer i
187c4762a1bSJed Brown      i=0
188c4762a1bSJed Brown      y(i) =    92.9000;  t(i) =  0.5000; i=i+1
189c4762a1bSJed Brown      y(i) =    78.7000;  t(i) =   0.6250; i=i+1
190c4762a1bSJed Brown      y(i) =    64.2000;  t(i) =   0.7500; i=i+1
191c4762a1bSJed Brown      y(i) =    64.9000;  t(i) =   0.8750; i=i+1
192c4762a1bSJed Brown      y(i) =    57.1000;  t(i) =   1.0000; i=i+1
193c4762a1bSJed Brown      y(i) =    43.3000;  t(i) =   1.2500; i=i+1
194c4762a1bSJed Brown      y(i) =    31.1000;  t(i) =  1.7500; i=i+1
195c4762a1bSJed Brown      y(i) =    23.6000;  t(i) =  2.2500; i=i+1
196c4762a1bSJed Brown      y(i) =    31.0500;  t(i) =  1.7500; i=i+1
197c4762a1bSJed Brown      y(i) =    23.7750;  t(i) =  2.2500; i=i+1
198c4762a1bSJed Brown      y(i) =    17.7375;  t(i) =  2.7500; i=i+1
199c4762a1bSJed Brown      y(i) =    13.8000;  t(i) =  3.2500; i=i+1
200c4762a1bSJed Brown      y(i) =    11.5875;  t(i) =  3.7500; i=i+1
201c4762a1bSJed Brown      y(i) =     9.4125;  t(i) =  4.2500; i=i+1
202c4762a1bSJed Brown      y(i) =     7.7250;  t(i) =  4.7500; i=i+1
203c4762a1bSJed Brown      y(i) =     7.3500;  t(i) =  5.2500; i=i+1
204c4762a1bSJed Brown      y(i) =     8.0250;  t(i) =  5.7500; i=i+1
205c4762a1bSJed Brown      y(i) =    90.6000;  t(i) =  0.5000; i=i+1
206c4762a1bSJed Brown      y(i) =    76.9000;  t(i) =  0.6250; i=i+1
207c4762a1bSJed Brown      y(i) =    71.6000;  t(i) = 0.7500; i=i+1
208c4762a1bSJed Brown      y(i) =    63.6000;  t(i) =  0.8750; i=i+1
209c4762a1bSJed Brown      y(i) =    54.0000;  t(i) =  1.0000; i=i+1
210c4762a1bSJed Brown      y(i) =    39.2000;  t(i) =  1.2500; i=i+1
211c4762a1bSJed Brown      y(i) =    29.3000;  t(i) = 1.7500; i=i+1
212c4762a1bSJed Brown      y(i) =    21.4000;  t(i) =  2.2500; i=i+1
213c4762a1bSJed Brown      y(i) =    29.1750;  t(i) =  1.7500; i=i+1
214c4762a1bSJed Brown      y(i) =    22.1250;  t(i) =  2.2500; i=i+1
215c4762a1bSJed Brown      y(i) =    17.5125;  t(i) =  2.7500; i=i+1
216c4762a1bSJed Brown      y(i) =    14.2500;  t(i) =  3.2500; i=i+1
217c4762a1bSJed Brown      y(i) =     9.4500;  t(i) =  3.7500; i=i+1
218c4762a1bSJed Brown      y(i) =     9.1500;  t(i) =  4.2500; i=i+1
219c4762a1bSJed Brown      y(i) =     7.9125;  t(i) =  4.7500; i=i+1
220c4762a1bSJed Brown      y(i) =     8.4750;  t(i) =  5.2500; i=i+1
221c4762a1bSJed Brown      y(i) =     6.1125;  t(i) =  5.7500; i=i+1
222c4762a1bSJed Brown      y(i) =    80.0000;  t(i) =  0.5000; i=i+1
223c4762a1bSJed Brown      y(i) =    79.0000;  t(i) =  0.6250; i=i+1
224c4762a1bSJed Brown      y(i) =    63.8000;  t(i) =  0.7500; i=i+1
225c4762a1bSJed Brown      y(i) =    57.2000;  t(i) =  0.8750; i=i+1
226c4762a1bSJed Brown      y(i) =    53.2000;  t(i) =  1.0000; i=i+1
227c4762a1bSJed Brown      y(i) =    42.5000;  t(i) =  1.2500; i=i+1
228c4762a1bSJed Brown      y(i) =    26.8000;  t(i) =  1.7500; i=i+1
229c4762a1bSJed Brown      y(i) =    20.4000;  t(i) =  2.2500; i=i+1
230c4762a1bSJed Brown      y(i) =    26.8500;  t(i) =   1.7500; i=i+1
231c4762a1bSJed Brown      y(i) =    21.0000;  t(i) =   2.2500; i=i+1
232c4762a1bSJed Brown      y(i) =    16.4625;  t(i) =   2.7500; i=i+1
233c4762a1bSJed Brown      y(i) =    12.5250;  t(i) =   3.2500; i=i+1
234c4762a1bSJed Brown      y(i) =    10.5375;  t(i) =   3.7500; i=i+1
235c4762a1bSJed Brown      y(i) =     8.5875;  t(i) =   4.2500; i=i+1
236c4762a1bSJed Brown      y(i) =     7.1250;  t(i) =   4.7500; i=i+1
237c4762a1bSJed Brown      y(i) =     6.1125;  t(i) =   5.2500; i=i+1
238c4762a1bSJed Brown      y(i) =     5.9625;  t(i) =   5.7500; i=i+1
239c4762a1bSJed Brown      y(i) =    74.1000;  t(i) =   0.5000; i=i+1
240c4762a1bSJed Brown      y(i) =    67.3000;  t(i) =   0.6250; i=i+1
241c4762a1bSJed Brown      y(i) =    60.8000;  t(i) =   0.7500; i=i+1
242c4762a1bSJed Brown      y(i) =    55.5000;  t(i) =   0.8750; i=i+1
243c4762a1bSJed Brown      y(i) =    50.3000;  t(i) =   1.0000; i=i+1
244c4762a1bSJed Brown      y(i) =    41.0000;  t(i) =   1.2500; i=i+1
245c4762a1bSJed Brown      y(i) =    29.4000;  t(i) =   1.7500; i=i+1
246c4762a1bSJed Brown      y(i) =    20.4000;  t(i) =   2.2500; i=i+1
247c4762a1bSJed Brown      y(i) =    29.3625;  t(i) =   1.7500; i=i+1
248c4762a1bSJed Brown      y(i) =    21.1500;  t(i) =   2.2500; i=i+1
249c4762a1bSJed Brown      y(i) =    16.7625;  t(i) =   2.7500; i=i+1
250c4762a1bSJed Brown      y(i) =    13.2000;  t(i) =   3.2500; i=i+1
251c4762a1bSJed Brown      y(i) =    10.8750;  t(i) =   3.7500; i=i+1
252c4762a1bSJed Brown      y(i) =     8.1750;  t(i) =   4.2500; i=i+1
253c4762a1bSJed Brown      y(i) =     7.3500;  t(i) =   4.7500; i=i+1
254c4762a1bSJed Brown      y(i) =     5.9625;  t(i) =  5.2500; i=i+1
255c4762a1bSJed Brown      y(i) =     5.6250;  t(i) =   5.7500; i=i+1
256c4762a1bSJed Brown      y(i) =    81.5000;  t(i) =    .5000; i=i+1
257c4762a1bSJed Brown      y(i) =    62.4000;  t(i) =    .7500; i=i+1
258c4762a1bSJed Brown      y(i) =    32.5000;  t(i) =   1.5000; i=i+1
259c4762a1bSJed Brown      y(i) =    12.4100;  t(i) =   3.0000; i=i+1
260c4762a1bSJed Brown      y(i) =    13.1200;  t(i) =   3.0000; i=i+1
261c4762a1bSJed Brown      y(i) =    15.5600;  t(i) =   3.0000; i=i+1
262c4762a1bSJed Brown      y(i) =     5.6300;  t(i) =   6.0000; i=i+1
263c4762a1bSJed Brown      y(i) =    78.0000;  t(i) =   .5000; i=i+1
264c4762a1bSJed Brown      y(i) =    59.9000;  t(i) =    .7500; i=i+1
265c4762a1bSJed Brown      y(i) =    33.2000;  t(i) =   1.5000; i=i+1
266c4762a1bSJed Brown      y(i) =    13.8400;  t(i) =   3.0000; i=i+1
267c4762a1bSJed Brown      y(i) =    12.7500;  t(i) =   3.0000; i=i+1
268c4762a1bSJed Brown      y(i) =    14.6200;  t(i) =   3.0000; i=i+1
269c4762a1bSJed Brown      y(i) =     3.9400;  t(i) =   6.0000; i=i+1
270c4762a1bSJed Brown      y(i) =    76.8000;  t(i) =    .5000; i=i+1
271c4762a1bSJed Brown      y(i) =    61.0000;  t(i) =    .7500; i=i+1
272c4762a1bSJed Brown      y(i) =    32.9000;  t(i) =   1.5000; i=i+1
273c4762a1bSJed Brown      y(i) =    13.8700;  t(i) = 3.0000; i=i+1
274c4762a1bSJed Brown      y(i) =    11.8100;  t(i) =   3.0000; i=i+1
275c4762a1bSJed Brown      y(i) =    13.3100;  t(i) =   3.0000; i=i+1
276c4762a1bSJed Brown      y(i) =     5.4400;  t(i) =   6.0000; i=i+1
277c4762a1bSJed Brown      y(i) =    78.0000;  t(i) =    .5000; i=i+1
278c4762a1bSJed Brown      y(i) =    63.5000;  t(i) =    .7500; i=i+1
279c4762a1bSJed Brown      y(i) =    33.8000;  t(i) =   1.5000; i=i+1
280c4762a1bSJed Brown      y(i) =    12.5600;  t(i) =   3.0000; i=i+1
281c4762a1bSJed Brown      y(i) =     5.6300;  t(i) =   6.0000; i=i+1
282c4762a1bSJed Brown      y(i) =    12.7500;  t(i) =   3.0000; i=i+1
283c4762a1bSJed Brown      y(i) =    13.1200;  t(i) =   3.0000; i=i+1
284c4762a1bSJed Brown      y(i) =     5.4400;  t(i) =   6.0000; i=i+1
285c4762a1bSJed Brown      y(i) =    76.8000;  t(i) =    .5000; i=i+1
286c4762a1bSJed Brown      y(i) =    60.0000;  t(i) =    .7500; i=i+1
287c4762a1bSJed Brown      y(i) =    47.8000;  t(i) =   1.0000; i=i+1
288c4762a1bSJed Brown      y(i) =    32.0000;  t(i) =   1.5000; i=i+1
289c4762a1bSJed Brown      y(i) =    22.2000;  t(i) =   2.0000; i=i+1
290c4762a1bSJed Brown      y(i) =    22.5700;  t(i) =   2.0000; i=i+1
291c4762a1bSJed Brown      y(i) =    18.8200;  t(i) =   2.5000; i=i+1
292c4762a1bSJed Brown      y(i) =    13.9500;  t(i) =   3.0000; i=i+1
293c4762a1bSJed Brown      y(i) =    11.2500;  t(i) =   4.0000; i=i+1
294c4762a1bSJed Brown      y(i) =     9.0000;  t(i) =   5.0000; i=i+1
295c4762a1bSJed Brown      y(i) =     6.6700;  t(i) =   6.0000; i=i+1
296c4762a1bSJed Brown      y(i) =    75.8000;  t(i) =    .5000; i=i+1
297c4762a1bSJed Brown      y(i) =    62.0000;  t(i) =    .7500; i=i+1
298c4762a1bSJed Brown      y(i) =    48.8000;  t(i) =   1.0000; i=i+1
299c4762a1bSJed Brown      y(i) =    35.2000;  t(i) =   1.5000; i=i+1
300c4762a1bSJed Brown      y(i) =    20.0000;  t(i) =   2.0000; i=i+1
301c4762a1bSJed Brown      y(i) =    20.3200;  t(i) =   2.0000; i=i+1
302c4762a1bSJed Brown      y(i) =    19.3100;  t(i) =   2.5000; i=i+1
303c4762a1bSJed Brown      y(i) =    12.7500;  t(i) =   3.0000; i=i+1
304c4762a1bSJed Brown      y(i) =    10.4200;  t(i) =   4.0000; i=i+1
305c4762a1bSJed Brown      y(i) =     7.3100;  t(i) =   5.0000; i=i+1
306c4762a1bSJed Brown      y(i) =     7.4200;  t(i) =   6.0000; i=i+1
307c4762a1bSJed Brown      y(i) =    70.5000;  t(i) =    .5000; i=i+1
308c4762a1bSJed Brown      y(i) =    59.5000;  t(i) =    .7500; i=i+1
309c4762a1bSJed Brown      y(i) =    48.5000;  t(i) =   1.0000; i=i+1
310c4762a1bSJed Brown      y(i) =    35.8000;  t(i) =   1.5000; i=i+1
311c4762a1bSJed Brown      y(i) =    21.0000;  t(i) =   2.0000; i=i+1
312c4762a1bSJed Brown      y(i) =    21.6700;  t(i) =   2.0000; i=i+1
313c4762a1bSJed Brown      y(i) =    21.0000;  t(i) =   2.5000; i=i+1
314c4762a1bSJed Brown      y(i) =    15.6400;  t(i) =   3.0000; i=i+1
315c4762a1bSJed Brown      y(i) =     8.1700;  t(i) =   4.0000; i=i+1
316c4762a1bSJed Brown      y(i) =     8.5500;  t(i) =   5.0000; i=i+1
317c4762a1bSJed Brown      y(i) =    10.1200;  t(i) =   6.0000; i=i+1
318c4762a1bSJed Brown      y(i) =    78.0000;  t(i) =    .5000; i=i+1
319c4762a1bSJed Brown      y(i) =    66.0000;  t(i) =    .6250; i=i+1
320c4762a1bSJed Brown      y(i) =    62.0000;  t(i) =    .7500; i=i+1
321c4762a1bSJed Brown      y(i) =    58.0000;  t(i) =    .8750; i=i+1
322c4762a1bSJed Brown      y(i) =    47.7000;  t(i) =   1.0000; i=i+1
323c4762a1bSJed Brown      y(i) =    37.8000;  t(i) =   1.2500; i=i+1
324c4762a1bSJed Brown      y(i) =    20.2000;  t(i) =   2.2500; i=i+1
325c4762a1bSJed Brown      y(i) =    21.0700;  t(i) =   2.2500; i=i+1
326c4762a1bSJed Brown      y(i) =    13.8700;  t(i) =   2.7500; i=i+1
327c4762a1bSJed Brown      y(i) =     9.6700;  t(i) =   3.2500; i=i+1
328c4762a1bSJed Brown      y(i) =     7.7600;  t(i) =   3.7500; i=i+1
329c4762a1bSJed Brown      y(i) =     5.4400;  t(i) =  4.2500; i=i+1
330c4762a1bSJed Brown      y(i) =     4.8700;  t(i) =  4.7500; i=i+1
331c4762a1bSJed Brown      y(i) =     4.0100;  t(i) =   5.2500; i=i+1
332c4762a1bSJed Brown      y(i) =     3.7500;  t(i) =   5.7500; i=i+1
333c4762a1bSJed Brown      y(i) =    24.1900;  t(i) =   3.0000; i=i+1
334c4762a1bSJed Brown      y(i) =    25.7600;  t(i) =   3.0000; i=i+1
335c4762a1bSJed Brown      y(i) =    18.0700;  t(i) =   3.0000; i=i+1
336c4762a1bSJed Brown      y(i) =    11.8100;  t(i) =   3.0000; i=i+1
337c4762a1bSJed Brown      y(i) =    12.0700;  t(i) =   3.0000; i=i+1
338c4762a1bSJed Brown      y(i) =    16.1200;  t(i) =   3.0000; i=i+1
339c4762a1bSJed Brown      y(i) =    70.8000;  t(i) =    .5000; i=i+1
340c4762a1bSJed Brown      y(i) =    54.7000;  t(i) =    .7500; i=i+1
341c4762a1bSJed Brown      y(i) =    48.0000;  t(i) =   1.0000; i=i+1
342c4762a1bSJed Brown      y(i) =    39.8000;  t(i) =   1.5000; i=i+1
343c4762a1bSJed Brown      y(i) =    29.8000;  t(i) =   2.0000; i=i+1
344c4762a1bSJed Brown      y(i) =    23.7000;  t(i) =   2.5000; i=i+1
345c4762a1bSJed Brown      y(i) =    29.6200;  t(i) =   2.0000; i=i+1
346c4762a1bSJed Brown      y(i) =    23.8100;  t(i) =   2.5000; i=i+1
347c4762a1bSJed Brown      y(i) =    17.7000;  t(i) =   3.0000; i=i+1
348c4762a1bSJed Brown      y(i) =    11.5500;  t(i) =   4.0000; i=i+1
349c4762a1bSJed Brown      y(i) =    12.0700;  t(i) =   5.0000; i=i+1
350c4762a1bSJed Brown      y(i) =     8.7400;  t(i) =   6.0000; i=i+1
351c4762a1bSJed Brown      y(i) =    80.7000;  t(i) =    .5000; i=i+1
352c4762a1bSJed Brown      y(i) =    61.3000;  t(i) =    .7500; i=i+1
353c4762a1bSJed Brown      y(i) =    47.5000;  t(i) =   1.0000; i=i+1
354c4762a1bSJed Brown      y(i) =    29.0000;  t(i) =   1.5000; i=i+1
355c4762a1bSJed Brown      y(i) =    24.0000;  t(i) =   2.0000; i=i+1
356c4762a1bSJed Brown      y(i) =    17.7000;  t(i) =   2.5000; i=i+1
357c4762a1bSJed Brown      y(i) =    24.5600;  t(i) =   2.0000; i=i+1
358c4762a1bSJed Brown      y(i) =    18.6700;  t(i) =   2.5000; i=i+1
359c4762a1bSJed Brown      y(i) =    16.2400;  t(i) =   3.0000; i=i+1
360c4762a1bSJed Brown      y(i) =     8.7400;  t(i) =   4.0000; i=i+1
361c4762a1bSJed Brown      y(i) =     7.8700;  t(i) =   5.0000; i=i+1
362c4762a1bSJed Brown      y(i) =     8.5100;  t(i) =   6.0000; i=i+1
363c4762a1bSJed Brown      y(i) =    66.7000;  t(i) =    .5000; i=i+1
364c4762a1bSJed Brown      y(i) =    59.2000;  t(i) =    .7500; i=i+1
365c4762a1bSJed Brown      y(i) =    40.8000;  t(i) =   1.0000; i=i+1
366c4762a1bSJed Brown      y(i) =    30.7000;  t(i) =   1.5000; i=i+1
367c4762a1bSJed Brown      y(i) =    25.7000;  t(i) =   2.0000; i=i+1
368c4762a1bSJed Brown      y(i) =    16.3000;  t(i) =   2.5000; i=i+1
369c4762a1bSJed Brown      y(i) =    25.9900;  t(i) =   2.0000; i=i+1
370c4762a1bSJed Brown      y(i) =    16.9500;  t(i) =   2.5000; i=i+1
371c4762a1bSJed Brown      y(i) =    13.3500;  t(i) =   3.0000; i=i+1
372c4762a1bSJed Brown      y(i) =     8.6200;  t(i) =   4.0000; i=i+1
373c4762a1bSJed Brown      y(i) =     7.2000;  t(i) =   5.0000; i=i+1
374c4762a1bSJed Brown      y(i) =     6.6400;  t(i) =   6.0000; i=i+1
375c4762a1bSJed Brown      y(i) =    13.6900;  t(i) =   3.0000; i=i+1
376c4762a1bSJed Brown      y(i) =    81.0000;  t(i) =    .5000; i=i+1
377c4762a1bSJed Brown      y(i) =    64.5000;  t(i) =    .7500; i=i+1
378c4762a1bSJed Brown      y(i) =    35.5000;  t(i) =   1.5000; i=i+1
379c4762a1bSJed Brown      y(i) =    13.3100;  t(i) =   3.0000; i=i+1
380c4762a1bSJed Brown      y(i) =     4.8700;  t(i) =   6.0000; i=i+1
381c4762a1bSJed Brown      y(i) =    12.9400;  t(i) =   3.0000; i=i+1
382c4762a1bSJed Brown      y(i) =     5.0600;  t(i) =   6.0000; i=i+1
383c4762a1bSJed Brown      y(i) =    15.1900;  t(i) =   3.0000; i=i+1
384c4762a1bSJed Brown      y(i) =    14.6200;  t(i) =   3.0000; i=i+1
385c4762a1bSJed Brown      y(i) =    15.6400;  t(i) =   3.0000; i=i+1
386c4762a1bSJed Brown      y(i) =    25.5000;  t(i) =   1.7500; i=i+1
387c4762a1bSJed Brown      y(i) =    25.9500;  t(i) =   1.7500; i=i+1
388c4762a1bSJed Brown      y(i) =    81.7000;  t(i) =    .5000; i=i+1
389c4762a1bSJed Brown      y(i) =    61.6000;  t(i) =    .7500; i=i+1
390c4762a1bSJed Brown      y(i) =    29.8000;  t(i) =   1.7500; i=i+1
391c4762a1bSJed Brown      y(i) =    29.8100;  t(i) =   1.7500; i=i+1
392c4762a1bSJed Brown      y(i) =    17.1700;  t(i) =   2.7500; i=i+1
393c4762a1bSJed Brown      y(i) =    10.3900;  t(i) =   3.7500; i=i+1
394c4762a1bSJed Brown      y(i) =    28.4000;  t(i) =   1.7500; i=i+1
395c4762a1bSJed Brown      y(i) =    28.6900;  t(i) =   1.7500; i=i+1
396c4762a1bSJed Brown      y(i) =    81.3000;  t(i) =    .5000; i=i+1
397c4762a1bSJed Brown      y(i) =    60.9000;  t(i) =    .7500; i=i+1
398c4762a1bSJed Brown      y(i) =    16.6500;  t(i) =   2.7500; i=i+1
399c4762a1bSJed Brown      y(i) =    10.0500;  t(i) =   3.7500; i=i+1
400c4762a1bSJed Brown      y(i) =    28.9000;  t(i) =   1.7500; i=i+1
401c4762a1bSJed Brown      y(i) =    28.9500;  t(i) =   1.7500; i=i+1
402c4762a1bSJed Brown
403c4762a1bSJed Brown      return
404c4762a1bSJed Brown      end
405c4762a1bSJed Brown
406c4762a1bSJed Brown!/*TEST
407c4762a1bSJed Brown!
408c4762a1bSJed Brown!   build:
409c4762a1bSJed Brown!      requires: !complex
410c4762a1bSJed Brown!
411c4762a1bSJed Brown!   test:
412c4762a1bSJed Brown!      args: -tao_smonitor -tao_max_it 100 -tao_type pounders -tao_gatol 1.e-5
413c4762a1bSJed Brown!      requires: !single
414c4762a1bSJed Brown!
415c4762a1bSJed Brown!TEST*/
416