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 46ce78bad3SBarry Smith Tao ta ! 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 85*f0b74427SPierre Jolivet! 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 935d83a8b1SBarry 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)) 1125d83a8b1SBarry 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 123ce78bad3SBarry Smith PetscCallA(TaoCreate(PETSC_COMM_WORLD,ta,ierr)) 124ce78bad3SBarry Smith PetscCallA(TaoSetType(ta,TAOBLMVM,ierr)) 125c4762a1bSJed Brown 126c4762a1bSJed Brown! Set minimization function and gradient, hessian evaluation functions 127c4762a1bSJed Brown 128ce78bad3SBarry Smith PetscCallA(TaoSetObjectiveAndGradient(ta,PETSC_NULL_VEC,FormFunctionGradient,0,ierr)) 129c4762a1bSJed Brown 130ce78bad3SBarry Smith PetscCallA(TaoSetHessian(ta,H,H,FormHessian,0, ierr)) 131c4762a1bSJed Brown 132c4762a1bSJed Brown! Set Variable bounds 133d8606c27SBarry Smith PetscCallA(MSA_BoundaryConditions(ierr)) 134ce78bad3SBarry Smith PetscCallA(TaoSetVariableBoundsRoutine(ta,MSA_Plate,0,ierr)) 135c4762a1bSJed Brown 136c4762a1bSJed Brown! Set the initial solution guess 137d8606c27SBarry Smith PetscCallA(MSA_InitialPoint(x, ierr)) 138ce78bad3SBarry Smith PetscCallA(TaoSetSolution(ta,x,ierr)) 139c4762a1bSJed Brown 140c4762a1bSJed Brown! Check for any tao command line options 141ce78bad3SBarry Smith PetscCallA(TaoSetFromOptions(ta,ierr)) 142c4762a1bSJed Brown 143c4762a1bSJed Brown! Solve the application 144ce78bad3SBarry Smith PetscCallA(TaoSolve(ta,ierr)) 145c4762a1bSJed Brown 146c4762a1bSJed Brown! Free TAO data structures 147ce78bad3SBarry Smith PetscCallA(TaoDestroy(ta,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 182ce78bad3SBarry Smith subroutine FormFunctionGradient(ta,X,fcn,G,dummy,ierr) 18377d968b7SBarry Smith use plate2fmodule 184c4762a1bSJed Brown implicit none 185c4762a1bSJed Brown 186c4762a1bSJed Brown! Input/output variables 187c4762a1bSJed Brown 188ce78bad3SBarry Smith Tao ta 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 232ce78bad3SBarry Smith! Get arrays to vector data (See note above about using VecGetArray in Fortran) 233ce78bad3SBarry Smith PetscCall(VecGetArray(localX,x_v,ierr)) 234ce78bad3SBarry Smith PetscCall(VecGetArray(localV,g_v,ierr)) 235ce78bad3SBarry Smith PetscCall(VecGetArray(Top,top_v,ierr)) 236ce78bad3SBarry Smith PetscCall(VecGetArray(Bottom,bottom_v,ierr)) 237ce78bad3SBarry Smith PetscCall(VecGetArray(Left,left_v,ierr)) 238ce78bad3SBarry Smith PetscCall(VecGetArray(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 382ce78bad3SBarry Smith PetscCall(VecRestoreArray(localX,x_v,ierr)) 383ce78bad3SBarry Smith PetscCall(VecRestoreArray(localV,g_v,ierr)) 384ce78bad3SBarry Smith PetscCall(VecRestoreArray(Left,left_v,ierr)) 385ce78bad3SBarry Smith PetscCall(VecRestoreArray(Top,top_v,ierr)) 386ce78bad3SBarry Smith PetscCall(VecRestoreArray(Bottom,bottom_v,ierr)) 387ce78bad3SBarry Smith PetscCall(VecRestoreArray(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! 411c4762a1bSJed Brown! Notes: 412c4762a1bSJed Brown! Due to mesh point reordering with DMs, we must always work 413c4762a1bSJed Brown! with the local mesh points, and then transform them to the new 414c4762a1bSJed Brown! global numbering with the local-to-global mapping. We cannot work 415c4762a1bSJed Brown! directly with the global numbers for the original uniprocessor mesh! 416c4762a1bSJed Brown! 417c4762a1bSJed Brown! MatSetValuesLocal(), using the local ordering (including 418c4762a1bSJed Brown! ghost points!) 419c4762a1bSJed Brown! - Then set matrix entries using the local ordering 420c4762a1bSJed Brown! by calling MatSetValuesLocal() 421c4762a1bSJed Brown 422ce78bad3SBarry Smith subroutine FormHessian(ta, X, Hessian, Hpc, dummy, ierr) 42377d968b7SBarry Smith use plate2fmodule 424c4762a1bSJed Brown implicit none 425c4762a1bSJed Brown 426ce78bad3SBarry Smith Tao ta 427c4762a1bSJed Brown Vec X 428c4762a1bSJed Brown Mat Hessian,Hpc 429c4762a1bSJed Brown PetscInt dummy 430c4762a1bSJed Brown PetscErrorCode ierr 431c4762a1bSJed Brown 432c4762a1bSJed Brown PetscInt i,j,k,row 433c4762a1bSJed Brown PetscInt xs,xm,gxs,gxm 434c4762a1bSJed Brown PetscInt ys,ym,gys,gym 435c4762a1bSJed Brown PetscInt col(0:6) 436c4762a1bSJed Brown PetscReal hx,hy,hydhx,hxdhy,rhx,rhy 437c4762a1bSJed Brown PetscReal f1,f2,f3,f4,f5,f6,d1,d2,d3 438c4762a1bSJed Brown PetscReal d4,d5,d6,d7,d8 439c4762a1bSJed Brown PetscReal xc,xl,xr,xt,xb,xlt,xrb 440c4762a1bSJed Brown PetscReal hl,hr,ht,hb,hc,htl,hbr 441c4762a1bSJed Brown 44242ce371bSBarry Smith PetscReal,pointer :: right_v(:),left_v(:) 44342ce371bSBarry Smith PetscReal,pointer :: bottom_v(:),top_v(:) 44442ce371bSBarry Smith PetscReal,pointer :: x_v(:) 445c4762a1bSJed Brown PetscReal v(0:6) 446c4762a1bSJed Brown PetscBool assembled 447c4762a1bSJed Brown PetscInt i1 448c4762a1bSJed Brown 449c4762a1bSJed Brown i1=1 450c4762a1bSJed Brown 451c4762a1bSJed Brown! Set various matrix options 452d8606c27SBarry Smith PetscCall(MatSetOption(Hessian,MAT_IGNORE_OFF_PROC_ENTRIES,PETSC_TRUE,ierr)) 453c4762a1bSJed Brown 454c4762a1bSJed Brown! Get local mesh boundaries 455d8606c27SBarry Smith PetscCall(DMDAGetCorners(dm,xs,ys,PETSC_NULL_INTEGER,xm,ym,PETSC_NULL_INTEGER,ierr)) 456d8606c27SBarry Smith PetscCall(DMDAGetGhostCorners(dm,gxs,gys,PETSC_NULL_INTEGER,gxm,gym,PETSC_NULL_INTEGER,ierr)) 457c4762a1bSJed Brown 458c4762a1bSJed Brown! Scatter ghost points to local vectors 459d8606c27SBarry Smith PetscCall(DMGlobalToLocalBegin(dm,X,INSERT_VALUES,localX,ierr)) 460d8606c27SBarry Smith PetscCall(DMGlobalToLocalEnd(dm,X,INSERT_VALUES,localX,ierr)) 461c4762a1bSJed Brown 462c4762a1bSJed Brown! Get pointers to vector data (see note on Fortran arrays above) 463ce78bad3SBarry Smith PetscCall(VecGetArray(localX,x_v,ierr)) 464ce78bad3SBarry Smith PetscCall(VecGetArray(Top,top_v,ierr)) 465ce78bad3SBarry Smith PetscCall(VecGetArray(Bottom,bottom_v,ierr)) 466ce78bad3SBarry Smith PetscCall(VecGetArray(Left,left_v,ierr)) 467ce78bad3SBarry Smith PetscCall(VecGetArray(Right,right_v,ierr)) 468c4762a1bSJed Brown 469c4762a1bSJed Brown! Initialize matrix entries to zero 470d8606c27SBarry Smith PetscCall(MatAssembled(Hessian,assembled,ierr)) 471d8606c27SBarry Smith if (assembled .eqv. PETSC_TRUE) PetscCall(MatZeroEntries(Hessian,ierr)) 472c4762a1bSJed Brown 473c4762a1bSJed Brown rhx = real(mx) + 1.0 474c4762a1bSJed Brown rhy = real(my) + 1.0 475c4762a1bSJed Brown hx = 1.0/rhx 476c4762a1bSJed Brown hy = 1.0/rhy 477c4762a1bSJed Brown hydhx = hy/hx 478c4762a1bSJed Brown hxdhy = hx/hy 479c4762a1bSJed Brown! compute Hessian over the locally owned part of the mesh 480c4762a1bSJed Brown 481c4762a1bSJed Brown do i=xs,xs+xm-1 482c4762a1bSJed Brown do j=ys,ys+ym-1 483c4762a1bSJed Brown row = (j-gys)*gxm + (i-gxs) 484c4762a1bSJed Brown 48542ce371bSBarry Smith xc = x_v(1+row) 486c4762a1bSJed Brown xt = xc 487c4762a1bSJed Brown xb = xc 488c4762a1bSJed Brown xr = xc 489c4762a1bSJed Brown xl = xc 490c4762a1bSJed Brown xrb = xc 491c4762a1bSJed Brown xlt = xc 492c4762a1bSJed Brown 493c4762a1bSJed Brown if (i .eq. gxs) then ! Left side 49442ce371bSBarry Smith xl = left_v(1+j - ys + 1) 49542ce371bSBarry Smith xlt = left_v(1+j - ys + 2) 496c4762a1bSJed Brown else 49742ce371bSBarry Smith xl = x_v(1+row -1) 498c4762a1bSJed Brown endif 499c4762a1bSJed Brown 500c4762a1bSJed Brown if (j .eq. gys) then ! bottom side 50142ce371bSBarry Smith xb = bottom_v(1+i - xs + 1) 50242ce371bSBarry Smith xrb = bottom_v(1+i - xs + 2) 503c4762a1bSJed Brown else 50442ce371bSBarry Smith xb = x_v(1+row - gxm) 505c4762a1bSJed Brown endif 506c4762a1bSJed Brown 507c4762a1bSJed Brown if (i+1 .eq. gxs + gxm) then !right side 50842ce371bSBarry Smith xr = right_v(1+j - ys + 1) 50942ce371bSBarry Smith xrb = right_v(1+j - ys) 510c4762a1bSJed Brown else 51142ce371bSBarry Smith xr = x_v(1+row + 1) 512c4762a1bSJed Brown endif 513c4762a1bSJed Brown 514c4762a1bSJed Brown if (j+1 .eq. gym+gys) then !top side 51542ce371bSBarry Smith xt = top_v(1+i - xs + 1) 51642ce371bSBarry Smith xlt = top_v(1+i - xs) 517c4762a1bSJed Brown else 51842ce371bSBarry Smith xt = x_v(1+row + gxm) 519c4762a1bSJed Brown endif 520c4762a1bSJed Brown 521c4762a1bSJed Brown if ((i .gt. gxs) .and. (j+1 .lt. gys+gym)) then 52242ce371bSBarry Smith xlt = x_v(1+row - 1 + gxm) 523c4762a1bSJed Brown endif 524c4762a1bSJed Brown 525c4762a1bSJed Brown if ((i+1 .lt. gxs+gxm) .and. (j .gt. gys)) then 52642ce371bSBarry Smith xrb = x_v(1+row + 1 - gxm) 527c4762a1bSJed Brown endif 528c4762a1bSJed Brown 529c4762a1bSJed Brown d1 = (xc-xl)*rhx 530c4762a1bSJed Brown d2 = (xc-xr)*rhx 531c4762a1bSJed Brown d3 = (xc-xt)*rhy 532c4762a1bSJed Brown d4 = (xc-xb)*rhy 533c4762a1bSJed Brown d5 = (xrb-xr)*rhy 534c4762a1bSJed Brown d6 = (xrb-xb)*rhx 535c4762a1bSJed Brown d7 = (xlt-xl)*rhy 536c4762a1bSJed Brown d8 = (xlt-xt)*rhx 537c4762a1bSJed Brown 538c4762a1bSJed Brown f1 = sqrt(1.0 + d1*d1 + d7*d7) 539c4762a1bSJed Brown f2 = sqrt(1.0 + d1*d1 + d4*d4) 540c4762a1bSJed Brown f3 = sqrt(1.0 + d3*d3 + d8*d8) 541c4762a1bSJed Brown f4 = sqrt(1.0 + d3*d3 + d2*d2) 542c4762a1bSJed Brown f5 = sqrt(1.0 + d2*d2 + d5*d5) 543c4762a1bSJed Brown f6 = sqrt(1.0 + d4*d4 + d6*d6) 544c4762a1bSJed Brown 545d8606c27SBarry Smith hl = (-hydhx*(1.0+d7*d7)+d1*d7)/(f1*f1*f1)+(-hydhx*(1.0+d4*d4)+d1*d4)/(f2*f2*f2) 546c4762a1bSJed Brown 547d8606c27SBarry Smith hr = (-hydhx*(1.0+d5*d5)+d2*d5)/(f5*f5*f5)+(-hydhx*(1.0+d3*d3)+d2*d3)/(f4*f4*f4) 548c4762a1bSJed Brown 549d8606c27SBarry Smith ht = (-hxdhy*(1.0+d8*d8)+d3*d8)/(f3*f3*f3)+(-hxdhy*(1.0+d2*d2)+d2*d3)/(f4*f4*f4) 550c4762a1bSJed Brown 551d8606c27SBarry Smith hb = (-hxdhy*(1.0+d6*d6)+d4*d6)/(f6*f6*f6)+(-hxdhy*(1.0+d1*d1)+d1*d4)/(f2*f2*f2) 552c4762a1bSJed Brown 553c4762a1bSJed Brown hbr = -d2*d5/(f5*f5*f5) - d4*d6/(f6*f6*f6) 554c4762a1bSJed Brown htl = -d1*d7/(f1*f1*f1) - d3*d8/(f3*f3*f3) 555c4762a1bSJed Brown 556d8606c27SBarry 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) + & 557d8606c27SBarry 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)+ & 558c4762a1bSJed Brown & hydhx*(1.0+d3*d3)-2*d2*d3)/(f4*f4*f4) 559c4762a1bSJed Brown 560c4762a1bSJed Brown hl = hl * 0.5 561c4762a1bSJed Brown hr = hr * 0.5 562c4762a1bSJed Brown ht = ht * 0.5 563c4762a1bSJed Brown hb = hb * 0.5 564c4762a1bSJed Brown hbr = hbr * 0.5 565c4762a1bSJed Brown htl = htl * 0.5 566c4762a1bSJed Brown hc = hc * 0.5 567c4762a1bSJed Brown 568c4762a1bSJed Brown k = 0 569c4762a1bSJed Brown 570c4762a1bSJed Brown if (j .gt. 0) then 571c4762a1bSJed Brown v(k) = hb 572c4762a1bSJed Brown col(k) = row - gxm 573c4762a1bSJed Brown k=k+1 574c4762a1bSJed Brown endif 575c4762a1bSJed Brown 576c4762a1bSJed Brown if ((j .gt. 0) .and. (i .lt. mx-1)) then 577c4762a1bSJed Brown v(k) = hbr 578c4762a1bSJed Brown col(k) = row-gxm+1 579c4762a1bSJed Brown k=k+1 580c4762a1bSJed Brown endif 581c4762a1bSJed Brown 582c4762a1bSJed Brown if (i .gt. 0) then 583c4762a1bSJed Brown v(k) = hl 584c4762a1bSJed Brown col(k) = row - 1 585c4762a1bSJed Brown k = k+1 586c4762a1bSJed Brown endif 587c4762a1bSJed Brown 588c4762a1bSJed Brown v(k) = hc 589c4762a1bSJed Brown col(k) = row 590c4762a1bSJed Brown k=k+1 591c4762a1bSJed Brown 592c4762a1bSJed Brown if (i .lt. mx-1) then 593c4762a1bSJed Brown v(k) = hr 594c4762a1bSJed Brown col(k) = row + 1 595c4762a1bSJed Brown k=k+1 596c4762a1bSJed Brown endif 597c4762a1bSJed Brown 598c4762a1bSJed Brown if ((i .gt. 0) .and. (j .lt. my-1)) then 599c4762a1bSJed Brown v(k) = htl 600c4762a1bSJed Brown col(k) = row + gxm - 1 601c4762a1bSJed Brown k=k+1 602c4762a1bSJed Brown endif 603c4762a1bSJed Brown 604c4762a1bSJed Brown if (j .lt. my-1) then 605c4762a1bSJed Brown v(k) = ht 606c4762a1bSJed Brown col(k) = row + gxm 607c4762a1bSJed Brown k=k+1 608c4762a1bSJed Brown endif 609c4762a1bSJed Brown 610c4762a1bSJed Brown! Set matrix values using local numbering, defined earlier in main routine 6115d83a8b1SBarry Smith PetscCall(MatSetValuesLocal(Hessian,i1,[row],k,col,v,INSERT_VALUES,ierr)) 612c4762a1bSJed Brown 613c4762a1bSJed Brown enddo 614c4762a1bSJed Brown enddo 615c4762a1bSJed Brown 616c4762a1bSJed Brown! restore vectors 617ce78bad3SBarry Smith PetscCall(VecRestoreArray(localX,x_v,ierr)) 618ce78bad3SBarry Smith PetscCall(VecRestoreArray(Left,left_v,ierr)) 619ce78bad3SBarry Smith PetscCall(VecRestoreArray(Right,right_v,ierr)) 620ce78bad3SBarry Smith PetscCall(VecRestoreArray(Top,top_v,ierr)) 621ce78bad3SBarry Smith PetscCall(VecRestoreArray(Bottom,bottom_v,ierr)) 622c4762a1bSJed Brown 623c4762a1bSJed Brown! Assemble the matrix 624d8606c27SBarry Smith PetscCall(MatAssemblyBegin(Hessian,MAT_FINAL_ASSEMBLY,ierr)) 625d8606c27SBarry Smith PetscCall(MatAssemblyEnd(Hessian,MAT_FINAL_ASSEMBLY,ierr)) 626c4762a1bSJed Brown 627d8606c27SBarry Smith PetscCall(PetscLogFlops(199.0d0*xm*ym,ierr)) 628c4762a1bSJed Brown 629c4762a1bSJed Brown end 630c4762a1bSJed Brown 631c4762a1bSJed Brown! Top,Left,Right,Bottom,bheight,mx,my,bmx,bmy,H, defined in plate2f.h 632c4762a1bSJed Brown 633c4762a1bSJed Brown! ---------------------------------------------------------------------------- 634c4762a1bSJed Brown! 635c4762a1bSJed Brown!/* 636c4762a1bSJed Brown! MSA_BoundaryConditions - calculates the boundary conditions for the region 637c4762a1bSJed Brown! 638c4762a1bSJed Brown! 639c4762a1bSJed Brown!*/ 640c4762a1bSJed Brown 641c4762a1bSJed Brown subroutine MSA_BoundaryConditions(ierr) 64277d968b7SBarry Smith use plate2fmodule 643c4762a1bSJed Brown implicit none 644c4762a1bSJed Brown 645c4762a1bSJed Brown PetscErrorCode ierr 646c4762a1bSJed Brown PetscInt i,j,k,limit,maxits 647c4762a1bSJed Brown PetscInt xs, xm, gxs, gxm 648c4762a1bSJed Brown PetscInt ys, ym, gys, gym 649c4762a1bSJed Brown PetscInt bsize, lsize 650c4762a1bSJed Brown PetscInt tsize, rsize 651c4762a1bSJed Brown PetscReal one,two,three,tol 652c4762a1bSJed Brown PetscReal scl,fnorm,det,xt 653c4762a1bSJed Brown PetscReal yt,hx,hy,u1,u2,nf1,nf2 654c4762a1bSJed Brown PetscReal njac11,njac12,njac21,njac22 655c4762a1bSJed Brown PetscReal b, t, l, r 65642ce371bSBarry Smith PetscReal,pointer :: boundary_v(:) 65742ce371bSBarry Smith 658c4762a1bSJed Brown logical exitloop 659c4762a1bSJed Brown PetscBool flg 660c4762a1bSJed Brown 661c4762a1bSJed Brown limit=0 662c4762a1bSJed Brown maxits = 5 663c4762a1bSJed Brown tol=1e-10 664c4762a1bSJed Brown b=-0.5 665c4762a1bSJed Brown t= 0.5 666c4762a1bSJed Brown l=-0.5 667c4762a1bSJed Brown r= 0.5 668c4762a1bSJed Brown xt=0 669c4762a1bSJed Brown yt=0 670c4762a1bSJed Brown one=1.0 671c4762a1bSJed Brown two=2.0 672c4762a1bSJed Brown three=3.0 673c4762a1bSJed Brown 674d8606c27SBarry Smith PetscCall(DMDAGetCorners(dm,xs,ys,PETSC_NULL_INTEGER,xm,ym,PETSC_NULL_INTEGER,ierr)) 675d8606c27SBarry Smith PetscCall(DMDAGetGhostCorners(dm,gxs,gys,PETSC_NULL_INTEGER,gxm,gym,PETSC_NULL_INTEGER,ierr)) 676c4762a1bSJed Brown 677c4762a1bSJed Brown bsize = xm + 2 678c4762a1bSJed Brown lsize = ym + 2 679c4762a1bSJed Brown rsize = ym + 2 680c4762a1bSJed Brown tsize = xm + 2 681c4762a1bSJed Brown 682d8606c27SBarry Smith PetscCall(VecCreateMPI(PETSC_COMM_WORLD,bsize,PETSC_DECIDE,Bottom,ierr)) 683d8606c27SBarry Smith PetscCall(VecCreateMPI(PETSC_COMM_WORLD,tsize,PETSC_DECIDE,Top,ierr)) 684d8606c27SBarry Smith PetscCall(VecCreateMPI(PETSC_COMM_WORLD,lsize,PETSC_DECIDE,Left,ierr)) 685d8606c27SBarry Smith PetscCall(VecCreateMPI(PETSC_COMM_WORLD,rsize,PETSC_DECIDE,Right,ierr)) 686c4762a1bSJed Brown 687c4762a1bSJed Brown hx= (r-l)/(mx+1) 688c4762a1bSJed Brown hy= (t-b)/(my+1) 689c4762a1bSJed Brown 690c4762a1bSJed Brown do j=0,3 691c4762a1bSJed Brown 692c4762a1bSJed Brown if (j.eq.0) then 693c4762a1bSJed Brown yt=b 694c4762a1bSJed Brown xt=l+hx*xs 695c4762a1bSJed Brown limit=bsize 696ce78bad3SBarry Smith PetscCall(VecGetArray(Bottom,boundary_v,ierr)) 697c4762a1bSJed Brown 698c4762a1bSJed Brown elseif (j.eq.1) then 699c4762a1bSJed Brown yt=t 700c4762a1bSJed Brown xt=l+hx*xs 701c4762a1bSJed Brown limit=tsize 702ce78bad3SBarry Smith PetscCall(VecGetArray(Top,boundary_v,ierr)) 703c4762a1bSJed Brown 704c4762a1bSJed Brown elseif (j.eq.2) then 705c4762a1bSJed Brown yt=b+hy*ys 706c4762a1bSJed Brown xt=l 707c4762a1bSJed Brown limit=lsize 708ce78bad3SBarry Smith PetscCall(VecGetArray(Left,boundary_v,ierr)) 709c4762a1bSJed Brown 710c4762a1bSJed Brown elseif (j.eq.3) then 711c4762a1bSJed Brown yt=b+hy*ys 712c4762a1bSJed Brown xt=r 713c4762a1bSJed Brown limit=rsize 714ce78bad3SBarry Smith PetscCall(VecGetArray(Right,boundary_v,ierr)) 715c4762a1bSJed Brown endif 716c4762a1bSJed Brown 717c4762a1bSJed Brown do i=0,limit-1 718c4762a1bSJed Brown 719c4762a1bSJed Brown u1=xt 720c4762a1bSJed Brown u2=-yt 721c4762a1bSJed Brown k = 0 722c4762a1bSJed Brown exitloop = .false. 723c4762a1bSJed Brown do while (k .lt. maxits .and. (.not. exitloop)) 724c4762a1bSJed Brown 725c4762a1bSJed Brown nf1=u1 + u1*u2*u2 - u1*u1*u1/three-xt 726c4762a1bSJed Brown nf2=-u2 - u1*u1*u2 + u2*u2*u2/three-yt 727c4762a1bSJed Brown fnorm=sqrt(nf1*nf1+nf2*nf2) 728c4762a1bSJed Brown if (fnorm .gt. tol) then 729c4762a1bSJed Brown njac11=one+u2*u2-u1*u1 730c4762a1bSJed Brown njac12=two*u1*u2 731c4762a1bSJed Brown njac21=-two*u1*u2 732c4762a1bSJed Brown njac22=-one - u1*u1 + u2*u2 733c4762a1bSJed Brown det = njac11*njac22-njac21*njac12 734c4762a1bSJed Brown u1 = u1-(njac22*nf1-njac12*nf2)/det 735c4762a1bSJed Brown u2 = u2-(njac11*nf2-njac21*nf1)/det 736c4762a1bSJed Brown else 737c4762a1bSJed Brown exitloop = .true. 738c4762a1bSJed Brown endif 739c4762a1bSJed Brown k=k+1 740c4762a1bSJed Brown enddo 741c4762a1bSJed Brown 74242ce371bSBarry Smith boundary_v(1+i) = u1*u1-u2*u2 743c4762a1bSJed Brown if ((j .eq. 0) .or. (j .eq. 1)) then 744c4762a1bSJed Brown xt = xt + hx 745c4762a1bSJed Brown else 746c4762a1bSJed Brown yt = yt + hy 747c4762a1bSJed Brown endif 748c4762a1bSJed Brown 749c4762a1bSJed Brown enddo 750c4762a1bSJed Brown 751c4762a1bSJed Brown if (j.eq.0) then 752ce78bad3SBarry Smith PetscCall(VecRestoreArray(Bottom,boundary_v,ierr)) 753c4762a1bSJed Brown elseif (j.eq.1) then 754ce78bad3SBarry Smith PetscCall(VecRestoreArray(Top,boundary_v,ierr)) 755c4762a1bSJed Brown elseif (j.eq.2) then 756ce78bad3SBarry Smith PetscCall(VecRestoreArray(Left,boundary_v,ierr)) 757c4762a1bSJed Brown elseif (j.eq.3) then 758ce78bad3SBarry Smith PetscCall(VecRestoreArray(Right,boundary_v,ierr)) 759c4762a1bSJed Brown endif 760c4762a1bSJed Brown 761c4762a1bSJed Brown enddo 762c4762a1bSJed Brown 763c4762a1bSJed Brown! Scale the boundary if desired 764d8606c27SBarry Smith PetscCall(PetscOptionsGetReal(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-bottom',scl,flg,ierr)) 765c4762a1bSJed Brown if (flg .eqv. PETSC_TRUE) then 766d8606c27SBarry Smith PetscCall(VecScale(Bottom,scl,ierr)) 767c4762a1bSJed Brown endif 768c4762a1bSJed Brown 769d8606c27SBarry Smith PetscCall(PetscOptionsGetReal(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-top',scl,flg,ierr)) 770c4762a1bSJed Brown if (flg .eqv. PETSC_TRUE) then 771d8606c27SBarry Smith PetscCall(VecScale(Top,scl,ierr)) 772c4762a1bSJed Brown endif 773c4762a1bSJed Brown 774d8606c27SBarry Smith PetscCall(PetscOptionsGetReal(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-right',scl,flg,ierr)) 775c4762a1bSJed Brown if (flg .eqv. PETSC_TRUE) then 776d8606c27SBarry Smith PetscCall(VecScale(Right,scl,ierr)) 777c4762a1bSJed Brown endif 778c4762a1bSJed Brown 779d8606c27SBarry Smith PetscCall(PetscOptionsGetReal(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-left',scl,flg,ierr)) 780c4762a1bSJed Brown if (flg .eqv. PETSC_TRUE) then 781d8606c27SBarry Smith PetscCall(VecScale(Left,scl,ierr)) 782c4762a1bSJed Brown endif 783c4762a1bSJed Brown 784c4762a1bSJed Brown end 785c4762a1bSJed Brown 786c4762a1bSJed Brown! ---------------------------------------------------------------------------- 787c4762a1bSJed Brown! 788c4762a1bSJed Brown!/* 789c4762a1bSJed Brown! MSA_Plate - Calculates an obstacle for surface to stretch over 790c4762a1bSJed Brown! 791c4762a1bSJed Brown! Output Parameter: 792c4762a1bSJed Brown!. xl - lower bound vector 793c4762a1bSJed Brown!. xu - upper bound vector 794c4762a1bSJed Brown! 795c4762a1bSJed Brown!*/ 796c4762a1bSJed Brown 797ce78bad3SBarry Smith subroutine MSA_Plate(ta,xl,xu,dummy,ierr) 79877d968b7SBarry Smith use plate2fmodule 799c4762a1bSJed Brown implicit none 800c4762a1bSJed Brown 801ce78bad3SBarry Smith Tao ta 802c4762a1bSJed Brown Vec xl,xu 803c4762a1bSJed Brown PetscErrorCode ierr 804c4762a1bSJed Brown PetscInt i,j,row 805c4762a1bSJed Brown PetscInt xs, xm, ys, ym 806c4762a1bSJed Brown PetscReal lb,ub 807c4762a1bSJed Brown PetscInt dummy 80842ce371bSBarry Smith PetscReal, pointer :: xl_v(:) 809c4762a1bSJed Brown 810c4762a1bSJed Brown lb = PETSC_NINFINITY 811c4762a1bSJed Brown ub = PETSC_INFINITY 812c4762a1bSJed Brown 813c4762a1bSJed Brown if (bmy .lt. 0) bmy = 0 814c4762a1bSJed Brown if (bmy .gt. my) bmy = my 815c4762a1bSJed Brown if (bmx .lt. 0) bmx = 0 816c4762a1bSJed Brown if (bmx .gt. mx) bmx = mx 817c4762a1bSJed Brown 818d8606c27SBarry Smith PetscCall(DMDAGetCorners(dm,xs,ys,PETSC_NULL_INTEGER,xm,ym,PETSC_NULL_INTEGER,ierr)) 819c4762a1bSJed Brown 820d8606c27SBarry Smith PetscCall(VecSet(xl,lb,ierr)) 821d8606c27SBarry Smith PetscCall(VecSet(xu,ub,ierr)) 822c4762a1bSJed Brown 823ce78bad3SBarry Smith PetscCall(VecGetArray(xl,xl_v,ierr)) 824c4762a1bSJed Brown 825c4762a1bSJed Brown do i=xs,xs+xm-1 826c4762a1bSJed Brown 827c4762a1bSJed Brown do j=ys,ys+ym-1 828c4762a1bSJed Brown 829c4762a1bSJed Brown row=(j-ys)*xm + (i-xs) 830c4762a1bSJed Brown 831c4762a1bSJed Brown if (i.ge.((mx-bmx)/2) .and. i.lt.(mx-(mx-bmx)/2) .and. & 832c4762a1bSJed Brown & j.ge.((my-bmy)/2) .and. j.lt.(my-(my-bmy)/2)) then 83342ce371bSBarry Smith xl_v(1+row) = bheight 834c4762a1bSJed Brown 835c4762a1bSJed Brown endif 836c4762a1bSJed Brown 837c4762a1bSJed Brown enddo 838c4762a1bSJed Brown enddo 839c4762a1bSJed Brown 840ce78bad3SBarry Smith PetscCall(VecRestoreArray(xl,xl_v,ierr)) 841c4762a1bSJed Brown 842c4762a1bSJed Brown end 843c4762a1bSJed Brown 844c4762a1bSJed Brown! ---------------------------------------------------------------------------- 845c4762a1bSJed Brown! 846c4762a1bSJed Brown!/* 847c4762a1bSJed Brown! MSA_InitialPoint - Calculates an obstacle for surface to stretch over 848c4762a1bSJed Brown! 849c4762a1bSJed Brown! Output Parameter: 850c4762a1bSJed Brown!. X - vector for initial guess 851c4762a1bSJed Brown! 852c4762a1bSJed Brown!*/ 853c4762a1bSJed Brown 854c4762a1bSJed Brown subroutine MSA_InitialPoint(X, ierr) 85577d968b7SBarry Smith use plate2fmodule 856c4762a1bSJed Brown implicit none 857c4762a1bSJed Brown 858c4762a1bSJed Brown Vec X 859c4762a1bSJed Brown PetscErrorCode ierr 860c4762a1bSJed Brown PetscInt start,i,j 861c4762a1bSJed Brown PetscInt row 862c4762a1bSJed Brown PetscInt xs,xm,gxs,gxm 863c4762a1bSJed Brown PetscInt ys,ym,gys,gym 864c4762a1bSJed Brown PetscReal zero, np5 865c4762a1bSJed Brown 86642ce371bSBarry Smith PetscReal,pointer :: left_v(:),right_v(:) 86742ce371bSBarry Smith PetscReal,pointer :: bottom_v(:),top_v(:) 86842ce371bSBarry Smith PetscReal,pointer :: x_v(:) 869c4762a1bSJed Brown PetscBool flg 870c4762a1bSJed Brown PetscRandom rctx 871c4762a1bSJed Brown 872c4762a1bSJed Brown zero = 0.0 873c4762a1bSJed Brown np5 = -0.5 874c4762a1bSJed Brown 875d8606c27SBarry Smith PetscCall(PetscOptionsGetInt(PETSC_NULL_OPTIONS,PETSC_NULL_CHARACTER,'-start', start,flg,ierr)) 876c4762a1bSJed Brown 877c4762a1bSJed Brown if ((flg .eqv. PETSC_TRUE) .and. (start .eq. 0)) then ! the zero vector is reasonable 878d8606c27SBarry Smith PetscCall(VecSet(X,zero,ierr)) 879c4762a1bSJed Brown 880c4762a1bSJed Brown elseif ((flg .eqv. PETSC_TRUE) .and. (start .gt. 0)) then ! random start -0.5 < xi < 0.5 881d8606c27SBarry Smith PetscCall(PetscRandomCreate(PETSC_COMM_WORLD,rctx,ierr)) 882c4762a1bSJed Brown do i=0,start-1 883d8606c27SBarry Smith PetscCall(VecSetRandom(X,rctx,ierr)) 884c4762a1bSJed Brown enddo 885c4762a1bSJed Brown 886d8606c27SBarry Smith PetscCall(PetscRandomDestroy(rctx,ierr)) 887d8606c27SBarry Smith PetscCall(VecShift(X,np5,ierr)) 888c4762a1bSJed Brown 889c4762a1bSJed Brown else ! average of boundary conditions 890c4762a1bSJed Brown 891c4762a1bSJed Brown! Get Local mesh boundaries 892d8606c27SBarry Smith PetscCall(DMDAGetCorners(dm,xs,ys,PETSC_NULL_INTEGER,xm,ym,PETSC_NULL_INTEGER,ierr)) 893d8606c27SBarry Smith PetscCall(DMDAGetGhostCorners(dm,gxs,gys,PETSC_NULL_INTEGER,gxm,gym,PETSC_NULL_INTEGER,ierr)) 894c4762a1bSJed Brown 895c4762a1bSJed Brown! Get pointers to vector data 896ce78bad3SBarry Smith PetscCall(VecGetArray(Top,top_v,ierr)) 897ce78bad3SBarry Smith PetscCall(VecGetArray(Bottom,bottom_v,ierr)) 898ce78bad3SBarry Smith PetscCall(VecGetArray(Left,left_v,ierr)) 899ce78bad3SBarry Smith PetscCall(VecGetArray(Right,right_v,ierr)) 900c4762a1bSJed Brown 901ce78bad3SBarry Smith PetscCall(VecGetArray(localX,x_v,ierr)) 902c4762a1bSJed Brown 903c4762a1bSJed Brown! Perform local computations 904c4762a1bSJed Brown do j=ys,ys+ym-1 905c4762a1bSJed Brown do i=xs,xs+xm-1 906c4762a1bSJed Brown row = (j-gys)*gxm + (i-gxs) 90742ce371bSBarry 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) + & 90842ce371bSBarry Smith & (i+1)*left_v(1+j-ys+1)/mx + (mx-i+1)*right_v(1+j-ys+1)/(mx+2))*0.5 909c4762a1bSJed Brown enddo 910c4762a1bSJed Brown enddo 911c4762a1bSJed Brown 912c4762a1bSJed Brown! Restore vectors 913ce78bad3SBarry Smith PetscCall(VecRestoreArray(localX,x_v,ierr)) 914c4762a1bSJed Brown 915ce78bad3SBarry Smith PetscCall(VecRestoreArray(Left,left_v,ierr)) 916ce78bad3SBarry Smith PetscCall(VecRestoreArray(Top,top_v,ierr)) 917ce78bad3SBarry Smith PetscCall(VecRestoreArray(Bottom,bottom_v,ierr)) 918ce78bad3SBarry Smith PetscCall(VecRestoreArray(Right,right_v,ierr)) 919c4762a1bSJed Brown 920d8606c27SBarry Smith PetscCall(DMLocalToGlobalBegin(dm,localX,INSERT_VALUES,X,ierr)) 921d8606c27SBarry Smith PetscCall(DMLocalToGlobalEnd(dm,localX,INSERT_VALUES,X,ierr)) 922c4762a1bSJed Brown 923c4762a1bSJed Brown endif 924c4762a1bSJed Brown 925c4762a1bSJed Brown end 926c4762a1bSJed Brown 927c4762a1bSJed Brown! 928c4762a1bSJed Brown!/*TEST 929c4762a1bSJed Brown! 930c4762a1bSJed Brown! build: 931c4762a1bSJed Brown! requires: !complex 932c4762a1bSJed Brown! 933c4762a1bSJed Brown! test: 93410978b7dSBarry Smith! args: -tao_monitor_short -mx 8 -my 6 -bmx 3 -bmy 3 -bheight 0.2 -tao_type bqnls -tao_gatol 1.e-4 935c4762a1bSJed Brown! filter: sort -b 936c4762a1bSJed Brown! filter_output: sort -b 937c4762a1bSJed Brown! requires: !single 938c4762a1bSJed Brown! 939c4762a1bSJed Brown! test: 940c4762a1bSJed Brown! suffix: 2 941c4762a1bSJed Brown! nsize: 2 94210978b7dSBarry Smith! args: -tao_monitor_short -mx 8 -my 6 -bmx 3 -bmy 3 -bheight 0.2 -tao_type bqnls -tao_gatol 1.e-4 943c4762a1bSJed Brown! filter: sort -b 944c4762a1bSJed Brown! filter_output: sort -b 945c4762a1bSJed Brown! requires: !single 946c4762a1bSJed Brown! 947c4762a1bSJed Brown!TEST*/ 948