xref: /petsc/src/mat/utils/axpy.c (revision 38baddfdda9fcd85a080f141519fb97fb01bc0a4)

#include "src/mat/matimpl.h"  /*I   "petscmat.h"  I*/

#undef __FUNCT__
#define __FUNCT__ "MatAXPY"
/*@
   MatAXPY - Computes Y = a*X + Y.

   Collective on Mat

   Input Parameters:
+  a - the scalar multiplier
.  X - the first matrix
.  Y - the second matrix
-  str - either SAME_NONZERO_PATTERN, DIFFERENT_NONZERO_PATTERN or SUBSET_NONZERO_PATTERN

   Contributed by: Matthew Knepley

   Notes:
     Will only be efficient if one has the SAME_NONZERO_PATTERN or SUBSET_NONZERO_PATTERN

   Level: intermediate

.keywords: matrix, add

.seealso: MatAYPX()
 @*/
PetscErrorCode MatAXPY(const PetscScalar *a,Mat X,Mat Y,MatStructure str)
{
  PetscErrorCode ierr;
  PetscInt       m1,m2,n1,n2;

  PetscFunctionBegin;
  PetscValidScalarPointer(a,1);
  PetscValidHeaderSpecific(X,MAT_COOKIE,2);
  PetscValidHeaderSpecific(Y,MAT_COOKIE,3);

  ierr = MatGetSize(X,&m1,&n1);CHKERRQ(ierr);
  ierr = MatGetSize(Y,&m2,&n2);CHKERRQ(ierr);
  if (m1 != m2 || n1 != n2) SETERRQ4(PETSC_ERR_ARG_SIZ,"Non conforming matrix add: %d %d %d %d",(int)m1,(int)m2,(int)n1,(int)n2);

  if (X->ops->axpy) {
    ierr = (*X->ops->axpy)(a,X,Y,str);CHKERRQ(ierr);
  } else {
    ierr = MatAXPY_Basic(a,X,Y,str);CHKERRQ(ierr);
  }
  PetscFunctionReturn(0);
}


#undef __FUNCT__
#define __FUNCT__ "MatAXPY_Basic"
PetscErrorCode MatAXPY_Basic(const PetscScalar *a,Mat X,Mat Y,MatStructure str)
{
  PetscInt          i,start,end,j,ncols,m,n;
  PetscErrorCode    ierr;
  const PetscInt    *row;
  PetscScalar       *val;
  const PetscScalar *vals;

  PetscFunctionBegin;
  ierr = MatGetSize(X,&m,&n);CHKERRQ(ierr);
  ierr = MatGetOwnershipRange(X,&start,&end);CHKERRQ(ierr);
  if (*a == 1.0) {
    for (i = start; i < end; i++) {
      ierr = MatGetRow(X,i,&ncols,&row,&vals);CHKERRQ(ierr);
      ierr = MatSetValues(Y,1,&i,ncols,row,vals,ADD_VALUES);CHKERRQ(ierr);
      ierr = MatRestoreRow(X,i,&ncols,&row,&vals);CHKERRQ(ierr);
    }
  } else {
    ierr = PetscMalloc((n+1)*sizeof(PetscScalar),&val);CHKERRQ(ierr);
    for (i=start; i<end; i++) {
      ierr = MatGetRow(X,i,&ncols,&row,&vals);CHKERRQ(ierr);
      for (j=0; j<ncols; j++) {
	val[j] = (*a)*vals[j];
      }
      ierr = MatSetValues(Y,1,&i,ncols,row,val,ADD_VALUES);CHKERRQ(ierr);
      ierr = MatRestoreRow(X,i,&ncols,&row,&vals);CHKERRQ(ierr);
    }
    ierr = PetscFree(val);CHKERRQ(ierr);
  }
  ierr = MatAssemblyBegin(Y,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
  ierr = MatAssemblyEnd(Y,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "MatShift"
/*@
   MatShift - Computes Y =  Y + a I, where a is a PetscScalar and I is the identity matrix.

   Collective on Mat

   Input Parameters:
+  Y - the matrices
-  a - the PetscScalar

   Level: intermediate

.keywords: matrix, add, shift

.seealso: MatDiagonalSet()
 @*/
PetscErrorCode MatShift(const PetscScalar *a,Mat Y)
{
  PetscErrorCode ierr;
  PetscInt       i,start,end;

  PetscFunctionBegin;
  PetscValidScalarPointer(a,1);
  PetscValidHeaderSpecific(Y,MAT_COOKIE,2);
  if (Y->ops->shift) {
    ierr = (*Y->ops->shift)(a,Y);CHKERRQ(ierr);
  } else {
    ierr = MatGetOwnershipRange(Y,&start,&end);CHKERRQ(ierr);
    for (i=start; i<end; i++) {
      ierr = MatSetValues(Y,1,&i,1,&i,a,ADD_VALUES);CHKERRQ(ierr);
    }
    ierr = MatAssemblyBegin(Y,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
    ierr = MatAssemblyEnd(Y,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
  }
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "MatDiagonalSet"
/*@
   MatDiagonalSet - Computes Y = Y + D, where D is a diagonal matrix
   that is represented as a vector. Or Y[i,i] = D[i] if InsertMode is
   INSERT_VALUES.

   Input Parameters:
+  Y - the input matrix
.  D - the diagonal matrix, represented as a vector
-  i - INSERT_VALUES or ADD_VALUES

   Collective on Mat and Vec

   Level: intermediate

.keywords: matrix, add, shift, diagonal

.seealso: MatShift()
@*/
PetscErrorCode MatDiagonalSet(Mat Y,Vec D,InsertMode is)
{
  PetscErrorCode ierr;
  PetscInt       i,start,end;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(Y,MAT_COOKIE,1);
  PetscValidHeaderSpecific(D,VEC_COOKIE,2);
  if (Y->ops->diagonalset) {
    ierr = (*Y->ops->diagonalset)(Y,D,is);CHKERRQ(ierr);
  } else {
    PetscInt    vstart,vend;
    PetscScalar *v;
    ierr = VecGetOwnershipRange(D,&vstart,&vend);CHKERRQ(ierr);
    ierr = MatGetOwnershipRange(Y,&start,&end);CHKERRQ(ierr);
    if (vstart != start || vend != end) {
      SETERRQ4(PETSC_ERR_ARG_SIZ,"Vector ownership range not compatible with matrix: %d %d vec %d %d mat",(int)vstart,(int)vend,(int)start,(int)end);
    }
    ierr = VecGetArray(D,&v);CHKERRQ(ierr);
    for (i=start; i<end; i++) {
      ierr = MatSetValues(Y,1,&i,1,&i,v+i-start,is);CHKERRQ(ierr);
    }
    ierr = VecRestoreArray(D,&v);CHKERRQ(ierr);
    ierr = MatAssemblyBegin(Y,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
    ierr = MatAssemblyEnd(Y,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
  }
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "MatAYPX"
/*@
   MatAYPX - Computes Y = X + a*Y.

   Collective on Mat

   Input Parameters:
+  X,Y - the matrices
-  a - the PetscScalar multiplier

   Contributed by: Matthew Knepley

   Notes:
   This routine currently uses the MatAXPY() implementation.

   This is slow, if you need it fast send email to petsc-maint@mcs.anl.gov

   Level: intermediate

.keywords: matrix, add

.seealso: MatAXPY()
 @*/
PetscErrorCode MatAYPX(const PetscScalar *a,Mat X,Mat Y)
{
  PetscScalar    one = 1.0;
  PetscErrorCode ierr;
  PetscInt       mX,mY,nX,nY;

  PetscFunctionBegin;
  PetscValidScalarPointer(a,1);
  PetscValidHeaderSpecific(X,MAT_COOKIE,2);
  PetscValidHeaderSpecific(Y,MAT_COOKIE,3);

  ierr = MatGetSize(X,&mX,&nX);CHKERRQ(ierr);
  ierr = MatGetSize(X,&mY,&nY);CHKERRQ(ierr);
  if (mX != mY || nX != nY) SETERRQ4(PETSC_ERR_ARG_SIZ,"Non conforming matrices: %d %d first %d %d second",(int)mX,(int)mY,(int)nX,(int)nY);

  ierr = MatScale(a,Y);CHKERRQ(ierr);
  ierr = MatAXPY(&one,X,Y,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "MatComputeExplicitOperator"
/*@
    MatComputeExplicitOperator - Computes the explicit matrix

    Collective on Mat

    Input Parameter:
.   inmat - the matrix

    Output Parameter:
.   mat - the explict preconditioned operator

    Notes:
    This computation is done by applying the operators to columns of the
    identity matrix.

    Currently, this routine uses a dense matrix format when 1 processor
    is used and a sparse format otherwise.  This routine is costly in general,
    and is recommended for use only with relatively small systems.

    Level: advanced

.keywords: Mat, compute, explicit, operator

@*/
PetscErrorCode MatComputeExplicitOperator(Mat inmat,Mat *mat)
{
  Vec            in,out;
  PetscErrorCode ierr;
  PetscInt       i,M,m,*rows,start,end;
  MPI_Comm       comm;
  PetscScalar    *array,zero = 0.0,one = 1.0;
  PetscMPIInt    size;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(inmat,MAT_COOKIE,1);
  PetscValidPointer(mat,2);

  comm = inmat->comm;
  ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);

  ierr = MatGetLocalSize(inmat,&m,0);CHKERRQ(ierr);
  ierr = MatGetSize(inmat,&M,0);CHKERRQ(ierr);
  ierr = VecCreateMPI(comm,m,M,&in);CHKERRQ(ierr);
  ierr = VecDuplicate(in,&out);CHKERRQ(ierr);
  ierr = VecGetOwnershipRange(in,&start,&end);CHKERRQ(ierr);
  ierr = PetscMalloc((m+1)*sizeof(PetscInt),&rows);CHKERRQ(ierr);
  for (i=0; i<m; i++) {rows[i] = start + i;}

  ierr = MatCreate(comm,m,m,M,M,mat);CHKERRQ(ierr);
  if (size == 1) {
    ierr = MatSetType(*mat,MATSEQDENSE);CHKERRQ(ierr);
    ierr = MatSeqDenseSetPreallocation(*mat,PETSC_NULL);CHKERRQ(ierr);
  } else {
    ierr = MatSetType(*mat,MATMPIAIJ);CHKERRQ(ierr);
    ierr = MatMPIAIJSetPreallocation(*mat,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
  }

  for (i=0; i<M; i++) {

    ierr = VecSet(&zero,in);CHKERRQ(ierr);
    ierr = VecSetValues(in,1,&i,&one,INSERT_VALUES);CHKERRQ(ierr);
    ierr = VecAssemblyBegin(in);CHKERRQ(ierr);
    ierr = VecAssemblyEnd(in);CHKERRQ(ierr);

    ierr = MatMult(inmat,in,out);CHKERRQ(ierr);

    ierr = VecGetArray(out,&array);CHKERRQ(ierr);
    ierr = MatSetValues(*mat,m,rows,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
    ierr = VecRestoreArray(out,&array);CHKERRQ(ierr);

  }
  ierr = PetscFree(rows);CHKERRQ(ierr);
  ierr = VecDestroy(out);CHKERRQ(ierr);
  ierr = VecDestroy(in);CHKERRQ(ierr);
  ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
  ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

/* Get the map xtoy which is used by MatAXPY() in the case of SUBSET_NONZERO_PATTERN */
#undef __FUNCT__
#define __FUNCT__ "MatAXPYGetxtoy_Private"
PetscErrorCode MatAXPYGetxtoy_Private(PetscInt m,PetscInt *xi,PetscInt *xj,PetscInt *xgarray, PetscInt *yi,PetscInt *yj,PetscInt *ygarray, PetscInt **xtoy)
{
  PetscErrorCode ierr;
  PetscInt       row,i,nz,xcol,ycol,jx,jy,*x2y;

  PetscFunctionBegin;
  ierr = PetscMalloc(xi[m]*sizeof(PetscInt),&x2y);CHKERRQ(ierr);
  i = 0;
  for (row=0; row<m; row++){
    nz = xi[1] - xi[0];
    jy = 0;
    for (jx=0; jx<nz; jx++,jy++){
      if (xgarray && ygarray){
        xcol = xgarray[xj[*xi + jx]];
        ycol = ygarray[yj[*yi + jy]];
      } else {
        xcol = xj[*xi + jx];
        ycol = yj[*yi + jy];  /* col index for y */
      }
      while ( ycol < xcol ) {
        jy++;
        if (ygarray){
          ycol = ygarray[yj[*yi + jy]];
        } else {
          ycol = yj[*yi + jy];
        }
      }
      if (xcol != ycol) SETERRQ2(PETSC_ERR_ARG_WRONG,"X matrix entry (%d,%d) is not in Y matrix",(int)row,(int)ycol);
      x2y[i++] = *yi + jy;
    }
    xi++; yi++;
  }
  *xtoy = x2y;
  PetscFunctionReturn(0);
}