1c4762a1bSJed Brown! Program usage: mpiexec -n <proc> plate2f [all TAO options] 2c4762a1bSJed Brown! 3c4762a1bSJed Brown! This example demonstrates use of the TAO package to solve a bound constrained 4c4762a1bSJed Brown! minimization problem. This example is based on a problem from the 5c4762a1bSJed Brown! MINPACK-2 test suite. Given a rectangular 2-D domain and boundary values 6c4762a1bSJed Brown! along the edges of the domain, the objective is to find the surface 7c4762a1bSJed Brown! with the minimal area that satisfies the boundary conditions. 8c4762a1bSJed Brown! The command line options are: 9c4762a1bSJed Brown! -mx <xg>, where <xg> = number of grid points in the 1st coordinate direction 10c4762a1bSJed Brown! -my <yg>, where <yg> = number of grid points in the 2nd coordinate direction 11c4762a1bSJed Brown! -bmx <bxg>, where <bxg> = number of grid points under plate in 1st direction 12c4762a1bSJed Brown! -bmy <byg>, where <byg> = number of grid points under plate in 2nd direction 13c4762a1bSJed Brown! -bheight <ht>, where <ht> = height of the plate 14c4762a1bSJed Brown! 15c4762a1bSJed Brown 1677d968b7SBarry Smith module plate2fmodule 17c4762a1bSJed Brown#include "petsc/finclude/petscdmda.h" 18c4762a1bSJed Brown#include "petsc/finclude/petsctao.h" 19c4762a1bSJed Brown use petscdmda 20c4762a1bSJed Brown use petsctao 21c4762a1bSJed Brown 22c4762a1bSJed Brown Vec localX, localV 23c4762a1bSJed Brown Vec Top, Left 24c4762a1bSJed Brown Vec Right, Bottom 25c4762a1bSJed Brown DM dm 26c4762a1bSJed Brown PetscReal bheight 27c4762a1bSJed Brown PetscInt bmx, bmy 28c4762a1bSJed Brown PetscInt mx, my, Nx, Ny, N 29c4762a1bSJed Brown end module 30c4762a1bSJed Brown 31c4762a1bSJed Brown! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 32c4762a1bSJed Brown! Variable declarations 33c4762a1bSJed Brown! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 34c4762a1bSJed Brown! 35c4762a1bSJed Brown! Variables: 36c4762a1bSJed Brown! (common from plate2f.h): 37c4762a1bSJed Brown! Nx, Ny number of processors in x- and y- directions 38c4762a1bSJed Brown! mx, my number of grid points in x,y directions 39c4762a1bSJed Brown! N global dimension of vector 4077d968b7SBarry Smith use plate2fmodule 41c4762a1bSJed Brown implicit none 42c4762a1bSJed Brown 43c4762a1bSJed Brown PetscErrorCode ierr ! used to check for functions returning nonzeros 44c4762a1bSJed Brown Vec x ! solution vector 45c4762a1bSJed Brown PetscInt m ! number of local elements in vector 46c4762a1bSJed Brown Tao tao ! Tao solver context 47c4762a1bSJed Brown Mat H ! Hessian matrix 48c4762a1bSJed Brown ISLocalToGlobalMapping isltog ! local to global mapping object 49c4762a1bSJed Brown PetscBool flg 50c4762a1bSJed Brown PetscInt i1,i3,i7 51c4762a1bSJed Brown 52c4762a1bSJed Brown external FormFunctionGradient 53c4762a1bSJed Brown external FormHessian 54c4762a1bSJed Brown external MSA_BoundaryConditions 55c4762a1bSJed Brown external MSA_Plate 56c4762a1bSJed Brown external MSA_InitialPoint 57c4762a1bSJed Brown! Initialize Tao 58c4762a1bSJed Brown 59c4762a1bSJed Brown i1=1 60c4762a1bSJed Brown i3=3 61c4762a1bSJed Brown i7=7 62c4762a1bSJed Brown 63d8606c27SBarry Smith PetscCallA(PetscInitialize(ierr)) 64c4762a1bSJed Brown 65c4762a1bSJed Brown! Specify default dimensions of the problem 66c4762a1bSJed Brown mx = 10 67c4762a1bSJed Brown my = 10 68c4762a1bSJed Brown bheight = 0.1 69c4762a1bSJed Brown 70c4762a1bSJed Brown! Check for any command line arguments that override defaults 71c4762a1bSJed Brown 72d8606c27SBarry Smith PetscCallA(PetscOptionsGetInt(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-mx',mx,flg,ierr)) 73d8606c27SBarry Smith PetscCallA(PetscOptionsGetInt(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-my',my,flg,ierr)) 74c4762a1bSJed Brown 75c4762a1bSJed Brown bmx = mx/2 76c4762a1bSJed Brown bmy = my/2 77c4762a1bSJed Brown 78d8606c27SBarry Smith PetscCallA(PetscOptionsGetInt(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-bmx',bmx,flg,ierr)) 79d8606c27SBarry Smith PetscCallA(PetscOptionsGetInt(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-bmy',bmy,flg,ierr)) 80d8606c27SBarry Smith PetscCallA(PetscOptionsGetReal(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-bheight',bheight,flg,ierr)) 81c4762a1bSJed Brown 82c4762a1bSJed Brown! Calculate any derived values from parameters 83c4762a1bSJed Brown N = mx*my 84c4762a1bSJed Brown 85c4762a1bSJed Brown! Let Petsc determine the dimensions of the local vectors 86c4762a1bSJed Brown Nx = PETSC_DECIDE 87c4762a1bSJed Brown NY = PETSC_DECIDE 88c4762a1bSJed Brown 89c4762a1bSJed Brown! A two dimensional distributed array will help define this problem, which 90c4762a1bSJed Brown! derives from an elliptic PDE on a two-dimensional domain. From the 91c4762a1bSJed Brown! distributed array, create the vectors 92c4762a1bSJed Brown 93*5d83a8b1SBarry Smith PetscCallA(DMDACreate2d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE, DMDA_STENCIL_BOX,mx,my,Nx,Ny,i1,i1,PETSC_NULL_INTEGER_ARRAY,PETSC_NULL_INTEGER_ARRAY,dm,ierr)) 94d8606c27SBarry Smith PetscCallA(DMSetFromOptions(dm,ierr)) 95d8606c27SBarry Smith PetscCallA(DMSetUp(dm,ierr)) 96c4762a1bSJed Brown 97c4762a1bSJed Brown! Extract global and local vectors from DM; The local vectors are 98c4762a1bSJed Brown! used solely as work space for the evaluation of the function, 99c4762a1bSJed Brown! gradient, and Hessian. Duplicate for remaining vectors that are 100c4762a1bSJed Brown! the same types. 101c4762a1bSJed Brown 102d8606c27SBarry Smith PetscCallA(DMCreateGlobalVector(dm,x,ierr)) 103d8606c27SBarry Smith PetscCallA(DMCreateLocalVector(dm,localX,ierr)) 104d8606c27SBarry Smith PetscCallA(VecDuplicate(localX,localV,ierr)) 105c4762a1bSJed Brown 106c4762a1bSJed Brown! Create a matrix data structure to store the Hessian. 107c4762a1bSJed Brown! Here we (optionally) also associate the local numbering scheme 108c4762a1bSJed Brown! with the matrix so that later we can use local indices for matrix 109c4762a1bSJed Brown! assembly 110c4762a1bSJed Brown 111d8606c27SBarry Smith PetscCallA(VecGetLocalSize(x,m,ierr)) 112*5d83a8b1SBarry Smith PetscCallA(MatCreateAIJ(PETSC_COMM_WORLD,m,m,N,N,i7,PETSC_NULL_INTEGER_ARRAY,i3,PETSC_NULL_INTEGER_ARRAY,H,ierr)) 113c4762a1bSJed Brown 114d8606c27SBarry Smith PetscCallA(MatSetOption(H,MAT_SYMMETRIC,PETSC_TRUE,ierr)) 115d8606c27SBarry Smith PetscCallA(DMGetLocalToGlobalMapping(dm,isltog,ierr)) 116d8606c27SBarry Smith PetscCallA(MatSetLocalToGlobalMapping(H,isltog,isltog,ierr)) 117c4762a1bSJed Brown 118c4762a1bSJed Brown! The Tao code begins here 119c4762a1bSJed Brown! Create TAO solver and set desired solution method. 120c4762a1bSJed Brown! This problems uses bounded variables, so the 121c4762a1bSJed Brown! method must either be 'tao_tron' or 'tao_blmvm' 122c4762a1bSJed Brown 123d8606c27SBarry Smith PetscCallA(TaoCreate(PETSC_COMM_WORLD,tao,ierr)) 124d8606c27SBarry Smith PetscCallA(TaoSetType(tao,TAOBLMVM,ierr)) 125c4762a1bSJed Brown 126c4762a1bSJed Brown! Set minimization function and gradient, hessian evaluation functions 127c4762a1bSJed Brown 128d8606c27SBarry Smith PetscCallA(TaoSetObjectiveAndGradient(tao,PETSC_NULL_VEC,FormFunctionGradient,0,ierr)) 129c4762a1bSJed Brown 130d8606c27SBarry Smith PetscCallA(TaoSetHessian(tao,H,H,FormHessian,0, ierr)) 131c4762a1bSJed Brown 132c4762a1bSJed Brown! Set Variable bounds 133d8606c27SBarry Smith PetscCallA(MSA_BoundaryConditions(ierr)) 134d8606c27SBarry Smith PetscCallA(TaoSetVariableBoundsRoutine(tao,MSA_Plate,0,ierr)) 135c4762a1bSJed Brown 136c4762a1bSJed Brown! Set the initial solution guess 137d8606c27SBarry Smith PetscCallA(MSA_InitialPoint(x, ierr)) 138d8606c27SBarry Smith PetscCallA(TaoSetSolution(tao,x,ierr)) 139c4762a1bSJed Brown 140c4762a1bSJed Brown! Check for any tao command line options 141d8606c27SBarry Smith PetscCallA(TaoSetFromOptions(tao,ierr)) 142c4762a1bSJed Brown 143c4762a1bSJed Brown! Solve the application 144d8606c27SBarry Smith PetscCallA(TaoSolve(tao,ierr)) 145c4762a1bSJed Brown 146c4762a1bSJed Brown! Free TAO data structures 147d8606c27SBarry Smith PetscCallA(TaoDestroy(tao,ierr)) 148c4762a1bSJed Brown 149c4762a1bSJed Brown! Free PETSc data structures 150d8606c27SBarry Smith PetscCallA(VecDestroy(x,ierr)) 151d8606c27SBarry Smith PetscCallA(VecDestroy(Top,ierr)) 152d8606c27SBarry Smith PetscCallA(VecDestroy(Bottom,ierr)) 153d8606c27SBarry Smith PetscCallA(VecDestroy(Left,ierr)) 154d8606c27SBarry Smith PetscCallA(VecDestroy(Right,ierr)) 155d8606c27SBarry Smith PetscCallA(MatDestroy(H,ierr)) 156d8606c27SBarry Smith PetscCallA(VecDestroy(localX,ierr)) 157d8606c27SBarry Smith PetscCallA(VecDestroy(localV,ierr)) 158d8606c27SBarry Smith PetscCallA(DMDestroy(dm,ierr)) 159c4762a1bSJed Brown 160c4762a1bSJed Brown! Finalize TAO 161c4762a1bSJed Brown 162d8606c27SBarry Smith PetscCallA(PetscFinalize(ierr)) 163c4762a1bSJed Brown 164c4762a1bSJed Brown end 165c4762a1bSJed Brown 166c4762a1bSJed Brown! --------------------------------------------------------------------- 167c4762a1bSJed Brown! 168c4762a1bSJed Brown! FormFunctionGradient - Evaluates function f(X). 169c4762a1bSJed Brown! 170c4762a1bSJed Brown! Input Parameters: 171c4762a1bSJed Brown! tao - the Tao context 172c4762a1bSJed Brown! X - the input vector 173c4762a1bSJed Brown! dummy - optional user-defined context, as set by TaoSetFunction() 174c4762a1bSJed Brown! (not used here) 175c4762a1bSJed Brown! 176c4762a1bSJed Brown! Output Parameters: 177c4762a1bSJed Brown! fcn - the newly evaluated function 178c4762a1bSJed Brown! G - the gradient vector 179c4762a1bSJed Brown! info - error code 180c4762a1bSJed Brown! 181c4762a1bSJed Brown 182c4762a1bSJed Brown subroutine FormFunctionGradient(tao,X,fcn,G,dummy,ierr) 18377d968b7SBarry Smith use plate2fmodule 184c4762a1bSJed Brown implicit none 185c4762a1bSJed Brown 186c4762a1bSJed Brown! Input/output variables 187c4762a1bSJed Brown 188c4762a1bSJed Brown Tao tao 189c4762a1bSJed Brown PetscReal fcn 190c4762a1bSJed Brown Vec X, G 191c4762a1bSJed Brown PetscErrorCode ierr 192c4762a1bSJed Brown PetscInt dummy 193c4762a1bSJed Brown 194c4762a1bSJed Brown PetscInt i,j,row 195c4762a1bSJed Brown PetscInt xs, xm 196c4762a1bSJed Brown PetscInt gxs, gxm 197c4762a1bSJed Brown PetscInt ys, ym 198c4762a1bSJed Brown PetscInt gys, gym 199c4762a1bSJed Brown PetscReal ft,zero,hx,hy,hydhx,hxdhy 200c4762a1bSJed Brown PetscReal area,rhx,rhy 201c4762a1bSJed Brown PetscReal f1,f2,f3,f4,f5,f6,d1,d2,d3 202c4762a1bSJed Brown PetscReal d4,d5,d6,d7,d8 203c4762a1bSJed Brown PetscReal df1dxc,df2dxc,df3dxc,df4dxc 204c4762a1bSJed Brown PetscReal df5dxc,df6dxc 205c4762a1bSJed Brown PetscReal xc,xl,xr,xt,xb,xlt,xrb 206c4762a1bSJed Brown 20742ce371bSBarry Smith PetscReal, pointer :: g_v(:),x_v(:) 20842ce371bSBarry Smith PetscReal, pointer :: top_v(:),left_v(:) 20942ce371bSBarry Smith PetscReal, pointer :: right_v(:),bottom_v(:) 210c4762a1bSJed Brown 211c4762a1bSJed Brown ft = 0.0 212c4762a1bSJed Brown zero = 0.0 213c4762a1bSJed Brown hx = 1.0/real(mx + 1) 214c4762a1bSJed Brown hy = 1.0/real(my + 1) 215c4762a1bSJed Brown hydhx = hy/hx 216c4762a1bSJed Brown hxdhy = hx/hy 217c4762a1bSJed Brown area = 0.5 * hx * hy 218c4762a1bSJed Brown rhx = real(mx) + 1.0 219c4762a1bSJed Brown rhy = real(my) + 1.0 220c4762a1bSJed Brown 221c4762a1bSJed Brown! Get local mesh boundaries 222d8606c27SBarry Smith PetscCall(DMDAGetCorners(dm,xs,ys,PETSC_NULL_INTEGER,xm,ym,PETSC_NULL_INTEGER,ierr)) 223d8606c27SBarry Smith PetscCall(DMDAGetGhostCorners(dm,gxs,gys,PETSC_NULL_INTEGER,gxm,gym,PETSC_NULL_INTEGER,ierr)) 224c4762a1bSJed Brown 225c4762a1bSJed Brown! Scatter ghost points to local vector 226d8606c27SBarry Smith PetscCall(DMGlobalToLocalBegin(dm,X,INSERT_VALUES,localX,ierr)) 227d8606c27SBarry Smith PetscCall(DMGlobalToLocalEnd(dm,X,INSERT_VALUES,localX,ierr)) 228c4762a1bSJed Brown 229c4762a1bSJed Brown! Initialize the vector to zero 230d8606c27SBarry Smith PetscCall(VecSet(localV,zero,ierr)) 231c4762a1bSJed Brown 23242ce371bSBarry Smith! Get arrays to vector data (See note above about using VecGetArrayF90 in Fortran) 23342ce371bSBarry Smith PetscCall(VecGetArrayF90(localX,x_v,ierr)) 23442ce371bSBarry Smith PetscCall(VecGetArrayF90(localV,g_v,ierr)) 23542ce371bSBarry Smith PetscCall(VecGetArrayF90(Top,top_v,ierr)) 23642ce371bSBarry Smith PetscCall(VecGetArrayF90(Bottom,bottom_v,ierr)) 23742ce371bSBarry Smith PetscCall(VecGetArrayF90(Left,left_v,ierr)) 23842ce371bSBarry Smith PetscCall(VecGetArrayF90(Right,right_v,ierr)) 239c4762a1bSJed Brown 240c4762a1bSJed Brown! Compute function over the locally owned part of the mesh 241c4762a1bSJed Brown do j = ys,ys+ym-1 242c4762a1bSJed Brown do i = xs,xs+xm-1 243c4762a1bSJed Brown row = (j-gys)*gxm + (i-gxs) 24442ce371bSBarry Smith xc = x_v(1+row) 245c4762a1bSJed Brown xt = xc 246c4762a1bSJed Brown xb = xc 247c4762a1bSJed Brown xr = xc 248c4762a1bSJed Brown xl = xc 249c4762a1bSJed Brown xrb = xc 250c4762a1bSJed Brown xlt = xc 251c4762a1bSJed Brown 252c4762a1bSJed Brown if (i .eq. 0) then !left side 25342ce371bSBarry Smith xl = left_v(1+j - ys + 1) 25442ce371bSBarry Smith xlt = left_v(1+j - ys + 2) 255c4762a1bSJed Brown else 25642ce371bSBarry Smith xl = x_v(1+row - 1) 257c4762a1bSJed Brown endif 258c4762a1bSJed Brown 259c4762a1bSJed Brown if (j .eq. 0) then !bottom side 26042ce371bSBarry Smith xb = bottom_v(1+i - xs + 1) 26142ce371bSBarry Smith xrb = bottom_v(1+i - xs + 2) 262c4762a1bSJed Brown else 26342ce371bSBarry Smith xb = x_v(1+row - gxm) 264c4762a1bSJed Brown endif 265c4762a1bSJed Brown 266c4762a1bSJed Brown if (i + 1 .eq. gxs + gxm) then !right side 26742ce371bSBarry Smith xr = right_v(1+j - ys + 1) 26842ce371bSBarry Smith xrb = right_v(1+j - ys) 269c4762a1bSJed Brown else 27042ce371bSBarry Smith xr = x_v(1+row + 1) 271c4762a1bSJed Brown endif 272c4762a1bSJed Brown 273c4762a1bSJed Brown if (j + 1 .eq. gys + gym) then !top side 27442ce371bSBarry Smith xt = top_v(1+i - xs + 1) 27542ce371bSBarry Smith xlt = top_v(1+i - xs) 276c4762a1bSJed Brown else 27742ce371bSBarry Smith xt = x_v(1+row + gxm) 278c4762a1bSJed Brown endif 279c4762a1bSJed Brown 280c4762a1bSJed Brown if ((i .gt. gxs) .and. (j + 1 .lt. gys + gym)) then 28142ce371bSBarry Smith xlt = x_v(1+row - 1 + gxm) 282c4762a1bSJed Brown endif 283c4762a1bSJed Brown 284c4762a1bSJed Brown if ((j .gt. gys) .and. (i + 1 .lt. gxs + gxm)) then 28542ce371bSBarry Smith xrb = x_v(1+row + 1 - gxm) 286c4762a1bSJed Brown endif 287c4762a1bSJed Brown 288c4762a1bSJed Brown d1 = xc-xl 289c4762a1bSJed Brown d2 = xc-xr 290c4762a1bSJed Brown d3 = xc-xt 291c4762a1bSJed Brown d4 = xc-xb 292c4762a1bSJed Brown d5 = xr-xrb 293c4762a1bSJed Brown d6 = xrb-xb 294c4762a1bSJed Brown d7 = xlt-xl 295c4762a1bSJed Brown d8 = xt-xlt 296c4762a1bSJed Brown 297c4762a1bSJed Brown df1dxc = d1 * hydhx 298c4762a1bSJed Brown df2dxc = d1 * hydhx + d4 * hxdhy 299c4762a1bSJed Brown df3dxc = d3 * hxdhy 300c4762a1bSJed Brown df4dxc = d2 * hydhx + d3 * hxdhy 301c4762a1bSJed Brown df5dxc = d2 * hydhx 302c4762a1bSJed Brown df6dxc = d4 * hxdhy 303c4762a1bSJed Brown 304c4762a1bSJed Brown d1 = d1 * rhx 305c4762a1bSJed Brown d2 = d2 * rhx 306c4762a1bSJed Brown d3 = d3 * rhy 307c4762a1bSJed Brown d4 = d4 * rhy 308c4762a1bSJed Brown d5 = d5 * rhy 309c4762a1bSJed Brown d6 = d6 * rhx 310c4762a1bSJed Brown d7 = d7 * rhy 311c4762a1bSJed Brown d8 = d8 * rhx 312c4762a1bSJed Brown 313c4762a1bSJed Brown f1 = sqrt(1.0 + d1*d1 + d7*d7) 314c4762a1bSJed Brown f2 = sqrt(1.0 + d1*d1 + d4*d4) 315c4762a1bSJed Brown f3 = sqrt(1.0 + d3*d3 + d8*d8) 316c4762a1bSJed Brown f4 = sqrt(1.0 + d3*d3 + d2*d2) 317c4762a1bSJed Brown f5 = sqrt(1.0 + d2*d2 + d5*d5) 318c4762a1bSJed Brown f6 = sqrt(1.0 + d4*d4 + d6*d6) 319c4762a1bSJed Brown 320c4762a1bSJed Brown ft = ft + f2 + f4 321c4762a1bSJed Brown 322c4762a1bSJed Brown df1dxc = df1dxc / f1 323c4762a1bSJed Brown df2dxc = df2dxc / f2 324c4762a1bSJed Brown df3dxc = df3dxc / f3 325c4762a1bSJed Brown df4dxc = df4dxc / f4 326c4762a1bSJed Brown df5dxc = df5dxc / f5 327c4762a1bSJed Brown df6dxc = df6dxc / f6 328c4762a1bSJed Brown 32942ce371bSBarry Smith g_v(1+row) = 0.5 * (df1dxc + df2dxc + df3dxc + df4dxc + df5dxc + df6dxc) 330c4762a1bSJed Brown enddo 331c4762a1bSJed Brown enddo 332c4762a1bSJed Brown 333c4762a1bSJed Brown! Compute triangular areas along the border of the domain. 334c4762a1bSJed Brown if (xs .eq. 0) then ! left side 335c4762a1bSJed Brown do j=ys,ys+ym-1 33642ce371bSBarry Smith d3 = (left_v(1+j-ys+1) - left_v(1+j-ys+2)) * rhy 33742ce371bSBarry Smith d2 = (left_v(1+j-ys+1) - x_v(1+(j-gys)*gxm)) * rhx 338c4762a1bSJed Brown ft = ft + sqrt(1.0 + d3*d3 + d2*d2) 339c4762a1bSJed Brown enddo 340c4762a1bSJed Brown endif 341c4762a1bSJed Brown 342c4762a1bSJed Brown if (ys .eq. 0) then !bottom side 343c4762a1bSJed Brown do i=xs,xs+xm-1 34442ce371bSBarry Smith d2 = (bottom_v(1+i+1-xs)-bottom_v(1+i-xs+2)) * rhx 34542ce371bSBarry Smith d3 = (bottom_v(1+i-xs+1)-x_v(1+i-gxs))*rhy 346c4762a1bSJed Brown ft = ft + sqrt(1.0 + d3*d3 + d2*d2) 347c4762a1bSJed Brown enddo 348c4762a1bSJed Brown endif 349c4762a1bSJed Brown 350c4762a1bSJed Brown if (xs + xm .eq. mx) then ! right side 351c4762a1bSJed Brown do j=ys,ys+ym-1 35242ce371bSBarry Smith d1 = (x_v(1+(j+1-gys)*gxm-1)-right_v(1+j-ys+1))*rhx 35342ce371bSBarry Smith d4 = (right_v(1+j-ys) - right_v(1+j-ys+1))*rhy 354c4762a1bSJed Brown ft = ft + sqrt(1.0 + d1*d1 + d4*d4) 355c4762a1bSJed Brown enddo 356c4762a1bSJed Brown endif 357c4762a1bSJed Brown 358c4762a1bSJed Brown if (ys + ym .eq. my) then 359c4762a1bSJed Brown do i=xs,xs+xm-1 36042ce371bSBarry Smith d1 = (x_v(1+(gym-1)*gxm+i-gxs) - top_v(1+i-xs+1))*rhy 36142ce371bSBarry Smith d4 = (top_v(1+i-xs+1) - top_v(1+i-xs))*rhx 362c4762a1bSJed Brown ft = ft + sqrt(1.0 + d1*d1 + d4*d4) 363c4762a1bSJed Brown enddo 364c4762a1bSJed Brown endif 365c4762a1bSJed Brown 366c4762a1bSJed Brown if ((ys .eq. 0) .and. (xs .eq. 0)) then 36742ce371bSBarry Smith d1 = (left_v(1+0) - left_v(1+1)) * rhy 36842ce371bSBarry Smith d2 = (bottom_v(1+0)-bottom_v(1+1))*rhx 369c4762a1bSJed Brown ft = ft + sqrt(1.0 + d1*d1 + d2*d2) 370c4762a1bSJed Brown endif 371c4762a1bSJed Brown 372c4762a1bSJed Brown if ((ys + ym .eq. my) .and. (xs + xm .eq. mx)) then 37342ce371bSBarry Smith d1 = (right_v(1+ym+1) - right_v(1+ym))*rhy 37442ce371bSBarry Smith d2 = (top_v(1+xm+1) - top_v(1+xm))*rhx 375c4762a1bSJed Brown ft = ft + sqrt(1.0 + d1*d1 + d2*d2) 376c4762a1bSJed Brown endif 377c4762a1bSJed Brown 378c4762a1bSJed Brown ft = ft * area 379d8606c27SBarry Smith PetscCallMPI(MPI_Allreduce(ft,fcn,1,MPIU_SCALAR,MPIU_SUM,PETSC_COMM_WORLD,ierr)) 380c4762a1bSJed Brown 381c4762a1bSJed Brown! Restore vectors 38242ce371bSBarry Smith PetscCall(VecRestoreArrayF90(localX,x_v,ierr)) 38342ce371bSBarry Smith PetscCall(VecRestoreArrayF90(localV,g_v,ierr)) 38442ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Left,left_v,ierr)) 38542ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Top,top_v,ierr)) 38642ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Bottom,bottom_v,ierr)) 38742ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Right,right_v,ierr)) 388c4762a1bSJed Brown 389c4762a1bSJed Brown! Scatter values to global vector 390d8606c27SBarry Smith PetscCall(DMLocalToGlobalBegin(dm,localV,INSERT_VALUES,G,ierr)) 391d8606c27SBarry Smith PetscCall(DMLocalToGlobalEnd(dm,localV,INSERT_VALUES,G,ierr)) 392c4762a1bSJed Brown 393d8606c27SBarry Smith PetscCall(PetscLogFlops(70.0d0*xm*ym,ierr)) 394c4762a1bSJed Brown 395c4762a1bSJed Brown end !FormFunctionGradient 396c4762a1bSJed Brown 397c4762a1bSJed Brown! ---------------------------------------------------------------------------- 398c4762a1bSJed Brown! 399c4762a1bSJed Brown! 400c4762a1bSJed Brown! FormHessian - Evaluates Hessian matrix. 401c4762a1bSJed Brown! 402c4762a1bSJed Brown! Input Parameters: 403c4762a1bSJed Brown!. tao - the Tao context 404c4762a1bSJed Brown!. X - input vector 405c4762a1bSJed Brown!. dummy - not used 406c4762a1bSJed Brown! 407c4762a1bSJed Brown! Output Parameters: 408c4762a1bSJed Brown!. Hessian - Hessian matrix 409c4762a1bSJed Brown!. Hpc - optionally different preconditioning matrix 410c4762a1bSJed Brown!. flag - flag indicating matrix structure 411c4762a1bSJed Brown! 412c4762a1bSJed Brown! Notes: 413c4762a1bSJed Brown! Due to mesh point reordering with DMs, we must always work 414c4762a1bSJed Brown! with the local mesh points, and then transform them to the new 415c4762a1bSJed Brown! global numbering with the local-to-global mapping. We cannot work 416c4762a1bSJed Brown! directly with the global numbers for the original uniprocessor mesh! 417c4762a1bSJed Brown! 418c4762a1bSJed Brown! MatSetValuesLocal(), using the local ordering (including 419c4762a1bSJed Brown! ghost points!) 420c4762a1bSJed Brown! - Then set matrix entries using the local ordering 421c4762a1bSJed Brown! by calling MatSetValuesLocal() 422c4762a1bSJed Brown 423c4762a1bSJed Brown subroutine FormHessian(tao, X, Hessian, Hpc, dummy, ierr) 42477d968b7SBarry Smith use plate2fmodule 425c4762a1bSJed Brown implicit none 426c4762a1bSJed Brown 427c4762a1bSJed Brown Tao tao 428c4762a1bSJed Brown Vec X 429c4762a1bSJed Brown Mat Hessian,Hpc 430c4762a1bSJed Brown PetscInt dummy 431c4762a1bSJed Brown PetscErrorCode ierr 432c4762a1bSJed Brown 433c4762a1bSJed Brown PetscInt i,j,k,row 434c4762a1bSJed Brown PetscInt xs,xm,gxs,gxm 435c4762a1bSJed Brown PetscInt ys,ym,gys,gym 436c4762a1bSJed Brown PetscInt col(0:6) 437c4762a1bSJed Brown PetscReal hx,hy,hydhx,hxdhy,rhx,rhy 438c4762a1bSJed Brown PetscReal f1,f2,f3,f4,f5,f6,d1,d2,d3 439c4762a1bSJed Brown PetscReal d4,d5,d6,d7,d8 440c4762a1bSJed Brown PetscReal xc,xl,xr,xt,xb,xlt,xrb 441c4762a1bSJed Brown PetscReal hl,hr,ht,hb,hc,htl,hbr 442c4762a1bSJed Brown 44342ce371bSBarry Smith PetscReal,pointer :: right_v(:),left_v(:) 44442ce371bSBarry Smith PetscReal,pointer :: bottom_v(:),top_v(:) 44542ce371bSBarry Smith PetscReal,pointer :: x_v(:) 446c4762a1bSJed Brown PetscReal v(0:6) 447c4762a1bSJed Brown PetscBool assembled 448c4762a1bSJed Brown PetscInt i1 449c4762a1bSJed Brown 450c4762a1bSJed Brown i1=1 451c4762a1bSJed Brown 452c4762a1bSJed Brown! Set various matrix options 453d8606c27SBarry Smith PetscCall(MatSetOption(Hessian,MAT_IGNORE_OFF_PROC_ENTRIES,PETSC_TRUE,ierr)) 454c4762a1bSJed Brown 455c4762a1bSJed Brown! Get local mesh boundaries 456d8606c27SBarry Smith PetscCall(DMDAGetCorners(dm,xs,ys,PETSC_NULL_INTEGER,xm,ym,PETSC_NULL_INTEGER,ierr)) 457d8606c27SBarry Smith PetscCall(DMDAGetGhostCorners(dm,gxs,gys,PETSC_NULL_INTEGER,gxm,gym,PETSC_NULL_INTEGER,ierr)) 458c4762a1bSJed Brown 459c4762a1bSJed Brown! Scatter ghost points to local vectors 460d8606c27SBarry Smith PetscCall(DMGlobalToLocalBegin(dm,X,INSERT_VALUES,localX,ierr)) 461d8606c27SBarry Smith PetscCall(DMGlobalToLocalEnd(dm,X,INSERT_VALUES,localX,ierr)) 462c4762a1bSJed Brown 463c4762a1bSJed Brown! Get pointers to vector data (see note on Fortran arrays above) 46442ce371bSBarry Smith PetscCall(VecGetArrayF90(localX,x_v,ierr)) 46542ce371bSBarry Smith PetscCall(VecGetArrayF90(Top,top_v,ierr)) 46642ce371bSBarry Smith PetscCall(VecGetArrayF90(Bottom,bottom_v,ierr)) 46742ce371bSBarry Smith PetscCall(VecGetArrayF90(Left,left_v,ierr)) 46842ce371bSBarry Smith PetscCall(VecGetArrayF90(Right,right_v,ierr)) 469c4762a1bSJed Brown 470c4762a1bSJed Brown! Initialize matrix entries to zero 471d8606c27SBarry Smith PetscCall(MatAssembled(Hessian,assembled,ierr)) 472d8606c27SBarry Smith if (assembled .eqv. PETSC_TRUE) PetscCall(MatZeroEntries(Hessian,ierr)) 473c4762a1bSJed Brown 474c4762a1bSJed Brown rhx = real(mx) + 1.0 475c4762a1bSJed Brown rhy = real(my) + 1.0 476c4762a1bSJed Brown hx = 1.0/rhx 477c4762a1bSJed Brown hy = 1.0/rhy 478c4762a1bSJed Brown hydhx = hy/hx 479c4762a1bSJed Brown hxdhy = hx/hy 480c4762a1bSJed Brown! compute Hessian over the locally owned part of the mesh 481c4762a1bSJed Brown 482c4762a1bSJed Brown do i=xs,xs+xm-1 483c4762a1bSJed Brown do j=ys,ys+ym-1 484c4762a1bSJed Brown row = (j-gys)*gxm + (i-gxs) 485c4762a1bSJed Brown 48642ce371bSBarry Smith xc = x_v(1+row) 487c4762a1bSJed Brown xt = xc 488c4762a1bSJed Brown xb = xc 489c4762a1bSJed Brown xr = xc 490c4762a1bSJed Brown xl = xc 491c4762a1bSJed Brown xrb = xc 492c4762a1bSJed Brown xlt = xc 493c4762a1bSJed Brown 494c4762a1bSJed Brown if (i .eq. gxs) then ! Left side 49542ce371bSBarry Smith xl = left_v(1+j - ys + 1) 49642ce371bSBarry Smith xlt = left_v(1+j - ys + 2) 497c4762a1bSJed Brown else 49842ce371bSBarry Smith xl = x_v(1+row -1) 499c4762a1bSJed Brown endif 500c4762a1bSJed Brown 501c4762a1bSJed Brown if (j .eq. gys) then ! bottom side 50242ce371bSBarry Smith xb = bottom_v(1+i - xs + 1) 50342ce371bSBarry Smith xrb = bottom_v(1+i - xs + 2) 504c4762a1bSJed Brown else 50542ce371bSBarry Smith xb = x_v(1+row - gxm) 506c4762a1bSJed Brown endif 507c4762a1bSJed Brown 508c4762a1bSJed Brown if (i+1 .eq. gxs + gxm) then !right side 50942ce371bSBarry Smith xr = right_v(1+j - ys + 1) 51042ce371bSBarry Smith xrb = right_v(1+j - ys) 511c4762a1bSJed Brown else 51242ce371bSBarry Smith xr = x_v(1+row + 1) 513c4762a1bSJed Brown endif 514c4762a1bSJed Brown 515c4762a1bSJed Brown if (j+1 .eq. gym+gys) then !top side 51642ce371bSBarry Smith xt = top_v(1+i - xs + 1) 51742ce371bSBarry Smith xlt = top_v(1+i - xs) 518c4762a1bSJed Brown else 51942ce371bSBarry Smith xt = x_v(1+row + gxm) 520c4762a1bSJed Brown endif 521c4762a1bSJed Brown 522c4762a1bSJed Brown if ((i .gt. gxs) .and. (j+1 .lt. gys+gym)) then 52342ce371bSBarry Smith xlt = x_v(1+row - 1 + gxm) 524c4762a1bSJed Brown endif 525c4762a1bSJed Brown 526c4762a1bSJed Brown if ((i+1 .lt. gxs+gxm) .and. (j .gt. gys)) then 52742ce371bSBarry Smith xrb = x_v(1+row + 1 - gxm) 528c4762a1bSJed Brown endif 529c4762a1bSJed Brown 530c4762a1bSJed Brown d1 = (xc-xl)*rhx 531c4762a1bSJed Brown d2 = (xc-xr)*rhx 532c4762a1bSJed Brown d3 = (xc-xt)*rhy 533c4762a1bSJed Brown d4 = (xc-xb)*rhy 534c4762a1bSJed Brown d5 = (xrb-xr)*rhy 535c4762a1bSJed Brown d6 = (xrb-xb)*rhx 536c4762a1bSJed Brown d7 = (xlt-xl)*rhy 537c4762a1bSJed Brown d8 = (xlt-xt)*rhx 538c4762a1bSJed Brown 539c4762a1bSJed Brown f1 = sqrt(1.0 + d1*d1 + d7*d7) 540c4762a1bSJed Brown f2 = sqrt(1.0 + d1*d1 + d4*d4) 541c4762a1bSJed Brown f3 = sqrt(1.0 + d3*d3 + d8*d8) 542c4762a1bSJed Brown f4 = sqrt(1.0 + d3*d3 + d2*d2) 543c4762a1bSJed Brown f5 = sqrt(1.0 + d2*d2 + d5*d5) 544c4762a1bSJed Brown f6 = sqrt(1.0 + d4*d4 + d6*d6) 545c4762a1bSJed Brown 546d8606c27SBarry Smith hl = (-hydhx*(1.0+d7*d7)+d1*d7)/(f1*f1*f1)+(-hydhx*(1.0+d4*d4)+d1*d4)/(f2*f2*f2) 547c4762a1bSJed Brown 548d8606c27SBarry Smith hr = (-hydhx*(1.0+d5*d5)+d2*d5)/(f5*f5*f5)+(-hydhx*(1.0+d3*d3)+d2*d3)/(f4*f4*f4) 549c4762a1bSJed Brown 550d8606c27SBarry Smith ht = (-hxdhy*(1.0+d8*d8)+d3*d8)/(f3*f3*f3)+(-hxdhy*(1.0+d2*d2)+d2*d3)/(f4*f4*f4) 551c4762a1bSJed Brown 552d8606c27SBarry Smith hb = (-hxdhy*(1.0+d6*d6)+d4*d6)/(f6*f6*f6)+(-hxdhy*(1.0+d1*d1)+d1*d4)/(f2*f2*f2) 553c4762a1bSJed Brown 554c4762a1bSJed Brown hbr = -d2*d5/(f5*f5*f5) - d4*d6/(f6*f6*f6) 555c4762a1bSJed Brown htl = -d1*d7/(f1*f1*f1) - d3*d8/(f3*f3*f3) 556c4762a1bSJed Brown 557d8606c27SBarry Smith hc = hydhx*(1.0+d7*d7)/(f1*f1*f1) + hxdhy*(1.0+d8*d8)/(f3*f3*f3) + hydhx*(1.0+d5*d5)/(f5*f5*f5) + & 558d8606c27SBarry Smith & hxdhy*(1.0+d6*d6)/(f6*f6*f6) + (hxdhy*(1.0+d1*d1)+hydhx*(1.0+d4*d4)- 2*d1*d4)/(f2*f2*f2) + (hxdhy*(1.0+d2*d2)+ & 559c4762a1bSJed Brown & hydhx*(1.0+d3*d3)-2*d2*d3)/(f4*f4*f4) 560c4762a1bSJed Brown 561c4762a1bSJed Brown hl = hl * 0.5 562c4762a1bSJed Brown hr = hr * 0.5 563c4762a1bSJed Brown ht = ht * 0.5 564c4762a1bSJed Brown hb = hb * 0.5 565c4762a1bSJed Brown hbr = hbr * 0.5 566c4762a1bSJed Brown htl = htl * 0.5 567c4762a1bSJed Brown hc = hc * 0.5 568c4762a1bSJed Brown 569c4762a1bSJed Brown k = 0 570c4762a1bSJed Brown 571c4762a1bSJed Brown if (j .gt. 0) then 572c4762a1bSJed Brown v(k) = hb 573c4762a1bSJed Brown col(k) = row - gxm 574c4762a1bSJed Brown k=k+1 575c4762a1bSJed Brown endif 576c4762a1bSJed Brown 577c4762a1bSJed Brown if ((j .gt. 0) .and. (i .lt. mx-1)) then 578c4762a1bSJed Brown v(k) = hbr 579c4762a1bSJed Brown col(k) = row-gxm+1 580c4762a1bSJed Brown k=k+1 581c4762a1bSJed Brown endif 582c4762a1bSJed Brown 583c4762a1bSJed Brown if (i .gt. 0) then 584c4762a1bSJed Brown v(k) = hl 585c4762a1bSJed Brown col(k) = row - 1 586c4762a1bSJed Brown k = k+1 587c4762a1bSJed Brown endif 588c4762a1bSJed Brown 589c4762a1bSJed Brown v(k) = hc 590c4762a1bSJed Brown col(k) = row 591c4762a1bSJed Brown k=k+1 592c4762a1bSJed Brown 593c4762a1bSJed Brown if (i .lt. mx-1) then 594c4762a1bSJed Brown v(k) = hr 595c4762a1bSJed Brown col(k) = row + 1 596c4762a1bSJed Brown k=k+1 597c4762a1bSJed Brown endif 598c4762a1bSJed Brown 599c4762a1bSJed Brown if ((i .gt. 0) .and. (j .lt. my-1)) then 600c4762a1bSJed Brown v(k) = htl 601c4762a1bSJed Brown col(k) = row + gxm - 1 602c4762a1bSJed Brown k=k+1 603c4762a1bSJed Brown endif 604c4762a1bSJed Brown 605c4762a1bSJed Brown if (j .lt. my-1) then 606c4762a1bSJed Brown v(k) = ht 607c4762a1bSJed Brown col(k) = row + gxm 608c4762a1bSJed Brown k=k+1 609c4762a1bSJed Brown endif 610c4762a1bSJed Brown 611c4762a1bSJed Brown! Set matrix values using local numbering, defined earlier in main routine 612*5d83a8b1SBarry Smith PetscCall(MatSetValuesLocal(Hessian,i1,[row],k,col,v,INSERT_VALUES,ierr)) 613c4762a1bSJed Brown 614c4762a1bSJed Brown enddo 615c4762a1bSJed Brown enddo 616c4762a1bSJed Brown 617c4762a1bSJed Brown! restore vectors 61842ce371bSBarry Smith PetscCall(VecRestoreArrayF90(localX,x_v,ierr)) 61942ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Left,left_v,ierr)) 62042ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Right,right_v,ierr)) 62142ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Top,top_v,ierr)) 62242ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Bottom,bottom_v,ierr)) 623c4762a1bSJed Brown 624c4762a1bSJed Brown! Assemble the matrix 625d8606c27SBarry Smith PetscCall(MatAssemblyBegin(Hessian,MAT_FINAL_ASSEMBLY,ierr)) 626d8606c27SBarry Smith PetscCall(MatAssemblyEnd(Hessian,MAT_FINAL_ASSEMBLY,ierr)) 627c4762a1bSJed Brown 628d8606c27SBarry Smith PetscCall(PetscLogFlops(199.0d0*xm*ym,ierr)) 629c4762a1bSJed Brown 630c4762a1bSJed Brown end 631c4762a1bSJed Brown 632c4762a1bSJed Brown! Top,Left,Right,Bottom,bheight,mx,my,bmx,bmy,H, defined in plate2f.h 633c4762a1bSJed Brown 634c4762a1bSJed Brown! ---------------------------------------------------------------------------- 635c4762a1bSJed Brown! 636c4762a1bSJed Brown!/* 637c4762a1bSJed Brown! MSA_BoundaryConditions - calculates the boundary conditions for the region 638c4762a1bSJed Brown! 639c4762a1bSJed Brown! 640c4762a1bSJed Brown!*/ 641c4762a1bSJed Brown 642c4762a1bSJed Brown subroutine MSA_BoundaryConditions(ierr) 64377d968b7SBarry Smith use plate2fmodule 644c4762a1bSJed Brown implicit none 645c4762a1bSJed Brown 646c4762a1bSJed Brown PetscErrorCode ierr 647c4762a1bSJed Brown PetscInt i,j,k,limit,maxits 648c4762a1bSJed Brown PetscInt xs, xm, gxs, gxm 649c4762a1bSJed Brown PetscInt ys, ym, gys, gym 650c4762a1bSJed Brown PetscInt bsize, lsize 651c4762a1bSJed Brown PetscInt tsize, rsize 652c4762a1bSJed Brown PetscReal one,two,three,tol 653c4762a1bSJed Brown PetscReal scl,fnorm,det,xt 654c4762a1bSJed Brown PetscReal yt,hx,hy,u1,u2,nf1,nf2 655c4762a1bSJed Brown PetscReal njac11,njac12,njac21,njac22 656c4762a1bSJed Brown PetscReal b, t, l, r 65742ce371bSBarry Smith PetscReal,pointer :: boundary_v(:) 65842ce371bSBarry Smith 659c4762a1bSJed Brown logical exitloop 660c4762a1bSJed Brown PetscBool flg 661c4762a1bSJed Brown 662c4762a1bSJed Brown limit=0 663c4762a1bSJed Brown maxits = 5 664c4762a1bSJed Brown tol=1e-10 665c4762a1bSJed Brown b=-0.5 666c4762a1bSJed Brown t= 0.5 667c4762a1bSJed Brown l=-0.5 668c4762a1bSJed Brown r= 0.5 669c4762a1bSJed Brown xt=0 670c4762a1bSJed Brown yt=0 671c4762a1bSJed Brown one=1.0 672c4762a1bSJed Brown two=2.0 673c4762a1bSJed Brown three=3.0 674c4762a1bSJed Brown 675d8606c27SBarry Smith PetscCall(DMDAGetCorners(dm,xs,ys,PETSC_NULL_INTEGER,xm,ym,PETSC_NULL_INTEGER,ierr)) 676d8606c27SBarry Smith PetscCall(DMDAGetGhostCorners(dm,gxs,gys,PETSC_NULL_INTEGER,gxm,gym,PETSC_NULL_INTEGER,ierr)) 677c4762a1bSJed Brown 678c4762a1bSJed Brown bsize = xm + 2 679c4762a1bSJed Brown lsize = ym + 2 680c4762a1bSJed Brown rsize = ym + 2 681c4762a1bSJed Brown tsize = xm + 2 682c4762a1bSJed Brown 683d8606c27SBarry Smith PetscCall(VecCreateMPI(PETSC_COMM_WORLD,bsize,PETSC_DECIDE,Bottom,ierr)) 684d8606c27SBarry Smith PetscCall(VecCreateMPI(PETSC_COMM_WORLD,tsize,PETSC_DECIDE,Top,ierr)) 685d8606c27SBarry Smith PetscCall(VecCreateMPI(PETSC_COMM_WORLD,lsize,PETSC_DECIDE,Left,ierr)) 686d8606c27SBarry Smith PetscCall(VecCreateMPI(PETSC_COMM_WORLD,rsize,PETSC_DECIDE,Right,ierr)) 687c4762a1bSJed Brown 688c4762a1bSJed Brown hx= (r-l)/(mx+1) 689c4762a1bSJed Brown hy= (t-b)/(my+1) 690c4762a1bSJed Brown 691c4762a1bSJed Brown do j=0,3 692c4762a1bSJed Brown 693c4762a1bSJed Brown if (j.eq.0) then 694c4762a1bSJed Brown yt=b 695c4762a1bSJed Brown xt=l+hx*xs 696c4762a1bSJed Brown limit=bsize 69742ce371bSBarry Smith PetscCall(VecGetArrayF90(Bottom,boundary_v,ierr)) 698c4762a1bSJed Brown 699c4762a1bSJed Brown elseif (j.eq.1) then 700c4762a1bSJed Brown yt=t 701c4762a1bSJed Brown xt=l+hx*xs 702c4762a1bSJed Brown limit=tsize 70342ce371bSBarry Smith PetscCall(VecGetArrayF90(Top,boundary_v,ierr)) 704c4762a1bSJed Brown 705c4762a1bSJed Brown elseif (j.eq.2) then 706c4762a1bSJed Brown yt=b+hy*ys 707c4762a1bSJed Brown xt=l 708c4762a1bSJed Brown limit=lsize 70942ce371bSBarry Smith PetscCall(VecGetArrayF90(Left,boundary_v,ierr)) 710c4762a1bSJed Brown 711c4762a1bSJed Brown elseif (j.eq.3) then 712c4762a1bSJed Brown yt=b+hy*ys 713c4762a1bSJed Brown xt=r 714c4762a1bSJed Brown limit=rsize 71542ce371bSBarry Smith PetscCall(VecGetArrayF90(Right,boundary_v,ierr)) 716c4762a1bSJed Brown endif 717c4762a1bSJed Brown 718c4762a1bSJed Brown do i=0,limit-1 719c4762a1bSJed Brown 720c4762a1bSJed Brown u1=xt 721c4762a1bSJed Brown u2=-yt 722c4762a1bSJed Brown k = 0 723c4762a1bSJed Brown exitloop = .false. 724c4762a1bSJed Brown do while (k .lt. maxits .and. (.not. exitloop)) 725c4762a1bSJed Brown 726c4762a1bSJed Brown nf1=u1 + u1*u2*u2 - u1*u1*u1/three-xt 727c4762a1bSJed Brown nf2=-u2 - u1*u1*u2 + u2*u2*u2/three-yt 728c4762a1bSJed Brown fnorm=sqrt(nf1*nf1+nf2*nf2) 729c4762a1bSJed Brown if (fnorm .gt. tol) then 730c4762a1bSJed Brown njac11=one+u2*u2-u1*u1 731c4762a1bSJed Brown njac12=two*u1*u2 732c4762a1bSJed Brown njac21=-two*u1*u2 733c4762a1bSJed Brown njac22=-one - u1*u1 + u2*u2 734c4762a1bSJed Brown det = njac11*njac22-njac21*njac12 735c4762a1bSJed Brown u1 = u1-(njac22*nf1-njac12*nf2)/det 736c4762a1bSJed Brown u2 = u2-(njac11*nf2-njac21*nf1)/det 737c4762a1bSJed Brown else 738c4762a1bSJed Brown exitloop = .true. 739c4762a1bSJed Brown endif 740c4762a1bSJed Brown k=k+1 741c4762a1bSJed Brown enddo 742c4762a1bSJed Brown 74342ce371bSBarry Smith boundary_v(1+i) = u1*u1-u2*u2 744c4762a1bSJed Brown if ((j .eq. 0) .or. (j .eq. 1)) then 745c4762a1bSJed Brown xt = xt + hx 746c4762a1bSJed Brown else 747c4762a1bSJed Brown yt = yt + hy 748c4762a1bSJed Brown endif 749c4762a1bSJed Brown 750c4762a1bSJed Brown enddo 751c4762a1bSJed Brown 752c4762a1bSJed Brown if (j.eq.0) then 75342ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Bottom,boundary_v,ierr)) 754c4762a1bSJed Brown elseif (j.eq.1) then 75542ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Top,boundary_v,ierr)) 756c4762a1bSJed Brown elseif (j.eq.2) then 75742ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Left,boundary_v,ierr)) 758c4762a1bSJed Brown elseif (j.eq.3) then 75942ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Right,boundary_v,ierr)) 760c4762a1bSJed Brown endif 761c4762a1bSJed Brown 762c4762a1bSJed Brown enddo 763c4762a1bSJed Brown 764c4762a1bSJed Brown! Scale the boundary if desired 765d8606c27SBarry Smith PetscCall(PetscOptionsGetReal(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-bottom',scl,flg,ierr)) 766c4762a1bSJed Brown if (flg .eqv. PETSC_TRUE) then 767d8606c27SBarry Smith PetscCall(VecScale(Bottom,scl,ierr)) 768c4762a1bSJed Brown endif 769c4762a1bSJed Brown 770d8606c27SBarry Smith PetscCall(PetscOptionsGetReal(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-top',scl,flg,ierr)) 771c4762a1bSJed Brown if (flg .eqv. PETSC_TRUE) then 772d8606c27SBarry Smith PetscCall(VecScale(Top,scl,ierr)) 773c4762a1bSJed Brown endif 774c4762a1bSJed Brown 775d8606c27SBarry Smith PetscCall(PetscOptionsGetReal(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-right',scl,flg,ierr)) 776c4762a1bSJed Brown if (flg .eqv. PETSC_TRUE) then 777d8606c27SBarry Smith PetscCall(VecScale(Right,scl,ierr)) 778c4762a1bSJed Brown endif 779c4762a1bSJed Brown 780d8606c27SBarry Smith PetscCall(PetscOptionsGetReal(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-left',scl,flg,ierr)) 781c4762a1bSJed Brown if (flg .eqv. PETSC_TRUE) then 782d8606c27SBarry Smith PetscCall(VecScale(Left,scl,ierr)) 783c4762a1bSJed Brown endif 784c4762a1bSJed Brown 785c4762a1bSJed Brown end 786c4762a1bSJed Brown 787c4762a1bSJed Brown! ---------------------------------------------------------------------------- 788c4762a1bSJed Brown! 789c4762a1bSJed Brown!/* 790c4762a1bSJed Brown! MSA_Plate - Calculates an obstacle for surface to stretch over 791c4762a1bSJed Brown! 792c4762a1bSJed Brown! Output Parameter: 793c4762a1bSJed Brown!. xl - lower bound vector 794c4762a1bSJed Brown!. xu - upper bound vector 795c4762a1bSJed Brown! 796c4762a1bSJed Brown!*/ 797c4762a1bSJed Brown 798c4762a1bSJed Brown subroutine MSA_Plate(tao,xl,xu,dummy,ierr) 79977d968b7SBarry Smith use plate2fmodule 800c4762a1bSJed Brown implicit none 801c4762a1bSJed Brown 802c4762a1bSJed Brown Tao tao 803c4762a1bSJed Brown Vec xl,xu 804c4762a1bSJed Brown PetscErrorCode ierr 805c4762a1bSJed Brown PetscInt i,j,row 806c4762a1bSJed Brown PetscInt xs, xm, ys, ym 807c4762a1bSJed Brown PetscReal lb,ub 808c4762a1bSJed Brown PetscInt dummy 80942ce371bSBarry Smith PetscReal, pointer :: xl_v(:) 810c4762a1bSJed Brown 811c4762a1bSJed Brown lb = PETSC_NINFINITY 812c4762a1bSJed Brown ub = PETSC_INFINITY 813c4762a1bSJed Brown 814c4762a1bSJed Brown if (bmy .lt. 0) bmy = 0 815c4762a1bSJed Brown if (bmy .gt. my) bmy = my 816c4762a1bSJed Brown if (bmx .lt. 0) bmx = 0 817c4762a1bSJed Brown if (bmx .gt. mx) bmx = mx 818c4762a1bSJed Brown 819d8606c27SBarry Smith PetscCall(DMDAGetCorners(dm,xs,ys,PETSC_NULL_INTEGER,xm,ym,PETSC_NULL_INTEGER,ierr)) 820c4762a1bSJed Brown 821d8606c27SBarry Smith PetscCall(VecSet(xl,lb,ierr)) 822d8606c27SBarry Smith PetscCall(VecSet(xu,ub,ierr)) 823c4762a1bSJed Brown 82442ce371bSBarry Smith PetscCall(VecGetArrayF90(xl,xl_v,ierr)) 825c4762a1bSJed Brown 826c4762a1bSJed Brown do i=xs,xs+xm-1 827c4762a1bSJed Brown 828c4762a1bSJed Brown do j=ys,ys+ym-1 829c4762a1bSJed Brown 830c4762a1bSJed Brown row=(j-ys)*xm + (i-xs) 831c4762a1bSJed Brown 832c4762a1bSJed Brown if (i.ge.((mx-bmx)/2) .and. i.lt.(mx-(mx-bmx)/2) .and. & 833c4762a1bSJed Brown & j.ge.((my-bmy)/2) .and. j.lt.(my-(my-bmy)/2)) then 83442ce371bSBarry Smith xl_v(1+row) = bheight 835c4762a1bSJed Brown 836c4762a1bSJed Brown endif 837c4762a1bSJed Brown 838c4762a1bSJed Brown enddo 839c4762a1bSJed Brown enddo 840c4762a1bSJed Brown 84142ce371bSBarry Smith PetscCall(VecRestoreArrayF90(xl,xl_v,ierr)) 842c4762a1bSJed Brown 843c4762a1bSJed Brown end 844c4762a1bSJed Brown 845c4762a1bSJed Brown! ---------------------------------------------------------------------------- 846c4762a1bSJed Brown! 847c4762a1bSJed Brown!/* 848c4762a1bSJed Brown! MSA_InitialPoint - Calculates an obstacle for surface to stretch over 849c4762a1bSJed Brown! 850c4762a1bSJed Brown! Output Parameter: 851c4762a1bSJed Brown!. X - vector for initial guess 852c4762a1bSJed Brown! 853c4762a1bSJed Brown!*/ 854c4762a1bSJed Brown 855c4762a1bSJed Brown subroutine MSA_InitialPoint(X, ierr) 85677d968b7SBarry Smith use plate2fmodule 857c4762a1bSJed Brown implicit none 858c4762a1bSJed Brown 859c4762a1bSJed Brown Vec X 860c4762a1bSJed Brown PetscErrorCode ierr 861c4762a1bSJed Brown PetscInt start,i,j 862c4762a1bSJed Brown PetscInt row 863c4762a1bSJed Brown PetscInt xs,xm,gxs,gxm 864c4762a1bSJed Brown PetscInt ys,ym,gys,gym 865c4762a1bSJed Brown PetscReal zero, np5 866c4762a1bSJed Brown 86742ce371bSBarry Smith PetscReal,pointer :: left_v(:),right_v(:) 86842ce371bSBarry Smith PetscReal,pointer :: bottom_v(:),top_v(:) 86942ce371bSBarry Smith PetscReal,pointer :: x_v(:) 870c4762a1bSJed Brown PetscBool flg 871c4762a1bSJed Brown PetscRandom rctx 872c4762a1bSJed Brown 873c4762a1bSJed Brown zero = 0.0 874c4762a1bSJed Brown np5 = -0.5 875c4762a1bSJed Brown 876d8606c27SBarry Smith PetscCall(PetscOptionsGetInt(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-start', start,flg,ierr)) 877c4762a1bSJed Brown 878c4762a1bSJed Brown if ((flg .eqv. PETSC_TRUE) .and. (start .eq. 0)) then ! the zero vector is reasonable 879d8606c27SBarry Smith PetscCall(VecSet(X,zero,ierr)) 880c4762a1bSJed Brown 881c4762a1bSJed Brown elseif ((flg .eqv. PETSC_TRUE) .and. (start .gt. 0)) then ! random start -0.5 < xi < 0.5 882d8606c27SBarry Smith PetscCall(PetscRandomCreate(PETSC_COMM_WORLD,rctx,ierr)) 883c4762a1bSJed Brown do i=0,start-1 884d8606c27SBarry Smith PetscCall(VecSetRandom(X,rctx,ierr)) 885c4762a1bSJed Brown enddo 886c4762a1bSJed Brown 887d8606c27SBarry Smith PetscCall(PetscRandomDestroy(rctx,ierr)) 888d8606c27SBarry Smith PetscCall(VecShift(X,np5,ierr)) 889c4762a1bSJed Brown 890c4762a1bSJed Brown else ! average of boundary conditions 891c4762a1bSJed Brown 892c4762a1bSJed Brown! Get Local mesh boundaries 893d8606c27SBarry Smith PetscCall(DMDAGetCorners(dm,xs,ys,PETSC_NULL_INTEGER,xm,ym,PETSC_NULL_INTEGER,ierr)) 894d8606c27SBarry Smith PetscCall(DMDAGetGhostCorners(dm,gxs,gys,PETSC_NULL_INTEGER,gxm,gym,PETSC_NULL_INTEGER,ierr)) 895c4762a1bSJed Brown 896c4762a1bSJed Brown! Get pointers to vector data 89742ce371bSBarry Smith PetscCall(VecGetArrayF90(Top,top_v,ierr)) 89842ce371bSBarry Smith PetscCall(VecGetArrayF90(Bottom,bottom_v,ierr)) 89942ce371bSBarry Smith PetscCall(VecGetArrayF90(Left,left_v,ierr)) 90042ce371bSBarry Smith PetscCall(VecGetArrayF90(Right,right_v,ierr)) 901c4762a1bSJed Brown 90242ce371bSBarry Smith PetscCall(VecGetArrayF90(localX,x_v,ierr)) 903c4762a1bSJed Brown 904c4762a1bSJed Brown! Perform local computations 905c4762a1bSJed Brown do j=ys,ys+ym-1 906c4762a1bSJed Brown do i=xs,xs+xm-1 907c4762a1bSJed Brown row = (j-gys)*gxm + (i-gxs) 90842ce371bSBarry Smith x_v(1+row) = ((j+1)*bottom_v(1+i-xs+1)/my + (my-j+1)*top_v(1+i-xs+1)/(my+2) + & 90942ce371bSBarry Smith & (i+1)*left_v(1+j-ys+1)/mx + (mx-i+1)*right_v(1+j-ys+1)/(mx+2))*0.5 910c4762a1bSJed Brown enddo 911c4762a1bSJed Brown enddo 912c4762a1bSJed Brown 913c4762a1bSJed Brown! Restore vectors 91442ce371bSBarry Smith PetscCall(VecRestoreArrayF90(localX,x_v,ierr)) 915c4762a1bSJed Brown 91642ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Left,left_v,ierr)) 91742ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Top,top_v,ierr)) 91842ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Bottom,bottom_v,ierr)) 91942ce371bSBarry Smith PetscCall(VecRestoreArrayF90(Right,right_v,ierr)) 920c4762a1bSJed Brown 921d8606c27SBarry Smith PetscCall(DMLocalToGlobalBegin(dm,localX,INSERT_VALUES,X,ierr)) 922d8606c27SBarry Smith PetscCall(DMLocalToGlobalEnd(dm,localX,INSERT_VALUES,X,ierr)) 923c4762a1bSJed Brown 924c4762a1bSJed Brown endif 925c4762a1bSJed Brown 926c4762a1bSJed Brown end 927c4762a1bSJed Brown 928c4762a1bSJed Brown! 929c4762a1bSJed Brown!/*TEST 930c4762a1bSJed Brown! 931c4762a1bSJed Brown! build: 932c4762a1bSJed Brown! requires: !complex 933c4762a1bSJed Brown! 934c4762a1bSJed Brown! test: 93510978b7dSBarry Smith! args: -tao_monitor_short -mx 8 -my 6 -bmx 3 -bmy 3 -bheight 0.2 -tao_type bqnls -tao_gatol 1.e-4 936c4762a1bSJed Brown! filter: sort -b 937c4762a1bSJed Brown! filter_output: sort -b 938c4762a1bSJed Brown! requires: !single 939c4762a1bSJed Brown! 940c4762a1bSJed Brown! test: 941c4762a1bSJed Brown! suffix: 2 942c4762a1bSJed Brown! nsize: 2 94310978b7dSBarry Smith! args: -tao_monitor_short -mx 8 -my 6 -bmx 3 -bmy 3 -bheight 0.2 -tao_type bqnls -tao_gatol 1.e-4 944c4762a1bSJed Brown! filter: sort -b 945c4762a1bSJed Brown! filter_output: sort -b 946c4762a1bSJed Brown! requires: !single 947c4762a1bSJed Brown! 948c4762a1bSJed Brown!TEST*/ 949