/*
   - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
   SLEPc - Scalable Library for Eigenvalue Problem Computations
   Copyright (c) 2002-2021, Universitat Politecnica de Valencia, Spain

   This file is part of SLEPc.
   SLEPc is distributed under a 2-clause BSD license (see LICENSE).
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*/

static char help[] = "Test interface to external package PRIMME.\n\n"
  "The command line options are:\n"
  "  -m <m>, where <m> = matrix rows.\n"
  "  -n <n>, where <n> = matrix columns (defaults to m+2).\n\n";

#include <slepcsvd.h>

/*
   This example computes the singular values of a rectangular bidiagonal matrix

              |  1  2                     |
              |     1  2                  |
              |        1  2               |
          A = |          .  .             |
              |             .  .          |
              |                1  2       |
              |                   1  2    |
 */

int main(int argc,char **argv)
{
  Mat             A;
  SVD             svd;
  PetscInt        m=20,n,Istart,Iend,i,k=6,col[2],bs;
  PetscScalar     value[] = { 1, 2 };
  PetscBool       flg;
  SVDPRIMMEMethod meth;
  PetscErrorCode  ierr;

  ierr = SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
  ierr = PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL);CHKERRQ(ierr);
  ierr = PetscOptionsGetInt(NULL,NULL,"-n",&n,&flg);CHKERRQ(ierr);
  if (!flg) n=m+2;
  ierr = PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);CHKERRQ(ierr);
  ierr = PetscPrintf(PETSC_COMM_WORLD,"\nRectangular bidiagonal matrix, m=%D n=%D\n\n",m,n);CHKERRQ(ierr);

  /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
        Generate the matrix
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  ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr);
  ierr = MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,m,n);CHKERRQ(ierr);
  ierr = MatSetFromOptions(A);CHKERRQ(ierr);
  ierr = MatSetUp(A);CHKERRQ(ierr);
  ierr = MatGetOwnershipRange(A,&Istart,&Iend);CHKERRQ(ierr);
  for (i=Istart;i<Iend;i++) {
    col[0]=i; col[1]=i+1;
    if (i<n-1) {
      ierr = MatSetValues(A,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr);
    } else if (i==n-1) {
      ierr = MatSetValue(A,i,col[0],value[0],INSERT_VALUES);CHKERRQ(ierr);
    }
  }
  ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
  ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);

  /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
        Compute singular values
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  ierr = SVDCreate(PETSC_COMM_WORLD,&svd);CHKERRQ(ierr);
  ierr = SVDSetOperators(svd,A,NULL);CHKERRQ(ierr);
  ierr = SVDSetType(svd,SVDPRIMME);CHKERRQ(ierr);
  ierr = SVDPRIMMESetBlockSize(svd,4);CHKERRQ(ierr);
  ierr = SVDPRIMMESetMethod(svd,SVD_PRIMME_HYBRID);CHKERRQ(ierr);
  ierr = SVDSetFromOptions(svd);CHKERRQ(ierr);

  ierr = SVDSolve(svd);CHKERRQ(ierr);
  ierr = SVDPRIMMEGetBlockSize(svd,&bs);CHKERRQ(ierr);
  ierr = SVDPRIMMEGetMethod(svd,&meth);CHKERRQ(ierr);
  ierr = PetscPrintf(PETSC_COMM_WORLD," PRIMME: using block size %D, method %s\n",bs,SVDPRIMMEMethods[meth]);CHKERRQ(ierr);

  /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
                    Display solution and clean up
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  ierr = SVDErrorView(svd,SVD_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
  ierr = SVDDestroy(&svd);CHKERRQ(ierr);
  ierr = MatDestroy(&A);CHKERRQ(ierr);
  ierr = SlepcFinalize();
  return ierr;
}

/*TEST

   build:
      requires: primme

   test:
      suffix: 1
      args: -svd_nsv 4
      requires: primme
      filter: sed -e "s/2.99255/2.99254/"

TEST*/
