xref: /petsc/src/mat/impls/aij/seq/seqcusparse/cusparsematimpl.h (revision 12ba2bc62b18c623c4aa6aaa43d22510cfab07b4)

#if !defined(CUSPARSEMATIMPL)
#define CUSPARSEMATIMPL

#include <petscpkg_version.h>
#include <petsc/private/cudavecimpl.h>
#include <petscaijdevice.h>

#include <cusparse_v2.h>

#include <algorithm>
#include <vector>

#include <thrust/device_vector.h>
#include <thrust/device_ptr.h>
#include <thrust/device_malloc_allocator.h>
#include <thrust/transform.h>
#include <thrust/functional.h>
#include <thrust/sequence.h>
#include <thrust/system/system_error.h>

#define PetscStackCallThrust(body) do {                                     \
    try {                                                                   \
      body;                                                                 \
    } catch(thrust::system_error& e) {                                      \
      SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in Thrust %s",e.what());\
    }                                                                       \
  } while (0)

#if defined(PETSC_USE_COMPLEX)
  #if defined(PETSC_USE_REAL_SINGLE)
    const cuComplex PETSC_CUSPARSE_ONE        = {1.0f, 0.0f};
    const cuComplex PETSC_CUSPARSE_ZERO       = {0.0f, 0.0f};
    #define cusparseXcsrilu02_bufferSize(a,b,c,d,e,f,g,h,i)     cusparseCcsrilu02_bufferSize(a,b,c,d,(cuComplex*)e,f,g,h,i)
    #define cusparseXcsrilu02_analysis(a,b,c,d,e,f,g,h,i,j)     cusparseCcsrilu02_analysis(a,b,c,d,(cuComplex*)e,f,g,h,i,j)
    #define cusparseXcsrilu02(a,b,c,d,e,f,g,h,i,j)              cusparseCcsrilu02(a,b,c,d,(cuComplex*)e,f,g,h,i,j)
    #define cusparseXcsric02_bufferSize(a,b,c,d,e,f,g,h,i)      cusparseCcsric02_bufferSize(a,b,c,d,(cuComplex*)e,f,g,h,i)
    #define cusparseXcsric02_analysis(a,b,c,d,e,f,g,h,i,j)      cusparseCcsric02_analysis(a,b,c,d,(cuComplex*)e,f,g,h,i,j)
    #define cusparseXcsric02(a,b,c,d,e,f,g,h,i,j)               cusparseCcsric02(a,b,c,d,(cuComplex*)e,f,g,h,i,j)
  #elif defined(PETSC_USE_REAL_DOUBLE)
    const cuDoubleComplex PETSC_CUSPARSE_ONE  = {1.0, 0.0};
    const cuDoubleComplex PETSC_CUSPARSE_ZERO = {0.0, 0.0};
    #define cusparseXcsrilu02_bufferSize(a,b,c,d,e,f,g,h,i)     cusparseZcsrilu02_bufferSize(a,b,c,d,(cuDoubleComplex*)e,f,g,h,i)
    #define cusparseXcsrilu02_analysis(a,b,c,d,e,f,g,h,i,j)     cusparseZcsrilu02_analysis(a,b,c,d,(cuDoubleComplex*)e,f,g,h,i,j)
    #define cusparseXcsrilu02(a,b,c,d,e,f,g,h,i,j)              cusparseZcsrilu02(a,b,c,d,(cuDoubleComplex*)e,f,g,h,i,j)
    #define cusparseXcsric02_bufferSize(a,b,c,d,e,f,g,h,i)      cusparseZcsric02_bufferSize(a,b,c,d,(cuDoubleComplex*)e,f,g,h,i)
    #define cusparseXcsric02_analysis(a,b,c,d,e,f,g,h,i,j)      cusparseZcsric02_analysis(a,b,c,d,(cuDoubleComplex*)e,f,g,h,i,j)
    #define cusparseXcsric02(a,b,c,d,e,f,g,h,i,j)               cusparseZcsric02(a,b,c,d,(cuDoubleComplex*)e,f,g,h,i,j)
  #endif
#else
  const PetscScalar PETSC_CUSPARSE_ONE        = 1.0;
  const PetscScalar PETSC_CUSPARSE_ZERO       = 0.0;
  #if defined(PETSC_USE_REAL_SINGLE)
    #define cusparseXcsrilu02_bufferSize    cusparseScsrilu02_bufferSize
    #define cusparseXcsrilu02_analysis      cusparseScsrilu02_analysis
    #define cusparseXcsrilu02               cusparseScsrilu02
    #define cusparseXcsric02_bufferSize     cusparseScsric02_bufferSize
    #define cusparseXcsric02_analysis       cusparseScsric02_analysis
    #define cusparseXcsric02                cusparseScsric02
  #elif defined(PETSC_USE_REAL_DOUBLE)
    #define cusparseXcsrilu02_bufferSize    cusparseDcsrilu02_bufferSize
    #define cusparseXcsrilu02_analysis      cusparseDcsrilu02_analysis
    #define cusparseXcsrilu02               cusparseDcsrilu02
    #define cusparseXcsric02_bufferSize     cusparseDcsric02_bufferSize
    #define cusparseXcsric02_analysis       cusparseDcsric02_analysis
    #define cusparseXcsric02                cusparseDcsric02
  #endif
#endif

#if PETSC_PKG_CUDA_VERSION_GE(9,0,0)
  #define csrsvInfo_t              csrsv2Info_t
  #define cusparseCreateCsrsvInfo  cusparseCreateCsrsv2Info
  #define cusparseDestroyCsrsvInfo cusparseDestroyCsrsv2Info
  #if defined(PETSC_USE_COMPLEX)
    #if defined(PETSC_USE_REAL_SINGLE)
      #define cusparseXcsrsv_buffsize(a,b,c,d,e,f,g,h,i,j)       cusparseCcsrsv2_bufferSize(a,b,c,d,e,(cuComplex*)(f),g,h,i,j)
      #define cusparseXcsrsv_analysis(a,b,c,d,e,f,g,h,i,j,k)     cusparseCcsrsv2_analysis(a,b,c,d,e,(const cuComplex*)(f),g,h,i,j,k)
      #define cusparseXcsrsv_solve(a,b,c,d,e,f,g,h,i,j,k,l,m,n)  cusparseCcsrsv2_solve(a,b,c,d,(const cuComplex*)(e),f,(const cuComplex*)(g),h,i,j,(const cuComplex*)(k),(cuComplex*)(l),m,n)
    #elif defined(PETSC_USE_REAL_DOUBLE)
      #define cusparseXcsrsv_buffsize(a,b,c,d,e,f,g,h,i,j)       cusparseZcsrsv2_bufferSize(a,b,c,d,e,(cuDoubleComplex*)(f),g,h,i,j)
      #define cusparseXcsrsv_analysis(a,b,c,d,e,f,g,h,i,j,k)     cusparseZcsrsv2_analysis(a,b,c,d,e,(const cuDoubleComplex*)(f),g,h,i,j,k)
      #define cusparseXcsrsv_solve(a,b,c,d,e,f,g,h,i,j,k,l,m,n)  cusparseZcsrsv2_solve(a,b,c,d,(const cuDoubleComplex*)(e),f,(const cuDoubleComplex*)(g),h,i,j,(const cuDoubleComplex*)(k),(cuDoubleComplex*)(l),m,n)
    #endif
  #else /* not complex */
    #if defined(PETSC_USE_REAL_SINGLE)
      #define cusparseXcsrsv_buffsize       cusparseScsrsv2_bufferSize
      #define cusparseXcsrsv_analysis       cusparseScsrsv2_analysis
      #define cusparseXcsrsv_solve          cusparseScsrsv2_solve
    #elif defined(PETSC_USE_REAL_DOUBLE)
      #define cusparseXcsrsv_buffsize       cusparseDcsrsv2_bufferSize
      #define cusparseXcsrsv_analysis       cusparseDcsrsv2_analysis
      #define cusparseXcsrsv_solve          cusparseDcsrsv2_solve
    #endif
  #endif
#else
  #define csrsvInfo_t              cusparseSolveAnalysisInfo_t
  #define cusparseCreateCsrsvInfo  cusparseCreateSolveAnalysisInfo
  #define cusparseDestroyCsrsvInfo cusparseDestroySolveAnalysisInfo
  #if defined(PETSC_USE_COMPLEX)
    #if defined(PETSC_USE_REAL_SINGLE)
      #define cusparseXcsrsv_solve(a,b,c,d,e,f,g,h,i,j,k) cusparseCcsrsv_solve((a),(b),(c),(cuComplex*)(d),(e),(cuComplex*)(f),(g),(h),(i),(cuComplex*)(j),(cuComplex*)(k))
      #define cusparseXcsrsv_analysis(a,b,c,d,e,f,g,h,i)  cusparseCcsrsv_analysis((a),(b),(c),(d),(e),(cuComplex*)(f),(g),(h),(i))
    #elif defined(PETSC_USE_REAL_DOUBLE)
      #define cusparseXcsrsv_solve(a,b,c,d,e,f,g,h,i,j,k) cusparseZcsrsv_solve((a),(b),(c),(cuDoubleComplex*)(d),(e),(cuDoubleComplex*)(f),(g),(h),(i),(cuDoubleComplex*)(j),(cuDoubleComplex*)(k))
      #define cusparseXcsrsv_analysis(a,b,c,d,e,f,g,h,i)  cusparseZcsrsv_analysis((a),(b),(c),(d),(e),(cuDoubleComplex*)(f),(g),(h),(i))
    #endif
  #else /* not complex */
    #if defined(PETSC_USE_REAL_SINGLE)
      #define cusparseXcsrsv_solve    cusparseScsrsv_solve
      #define cusparseXcsrsv_analysis cusparseScsrsv_analysis
    #elif defined(PETSC_USE_REAL_DOUBLE)
      #define cusparseXcsrsv_solve    cusparseDcsrsv_solve
      #define cusparseXcsrsv_analysis cusparseDcsrsv_analysis
    #endif
  #endif
#endif

#if PETSC_PKG_CUDA_VERSION_GE(11,0,0)
  #define cusparse_csr2csc cusparseCsr2cscEx2
  #if defined(PETSC_USE_COMPLEX)
    #if defined(PETSC_USE_REAL_SINGLE)
      #define cusparse_scalartype CUDA_C_32F
      #define cusparse_csr_spgeam(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t)            cusparseCcsrgeam2(a,b,c,(cuComplex*)d,e,f,(cuComplex*)g,h,i,(cuComplex*)j,k,l,(cuComplex*)m,n,o,p,(cuComplex*)q,r,s,t)
      #define cusparse_csr_spgeam_bufferSize(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t) cusparseCcsrgeam2_bufferSizeExt(a,b,c,(cuComplex*)d,e,f,(cuComplex*)g,h,i,(cuComplex*)j,k,l,(cuComplex*)m,n,o,p,(cuComplex*)q,r,s,t)
    #elif defined(PETSC_USE_REAL_DOUBLE)
      #define cusparse_scalartype CUDA_C_64F
      #define cusparse_csr_spgeam(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t)            cusparseZcsrgeam2(a,b,c,(cuDoubleComplex*)d,e,f,(cuDoubleComplex*)g,h,i,(cuDoubleComplex*)j,k,l,(cuDoubleComplex*)m,n,o,p,(cuDoubleComplex*)q,r,s,t)
      #define cusparse_csr_spgeam_bufferSize(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t) cusparseZcsrgeam2_bufferSizeExt(a,b,c,(cuDoubleComplex*)d,e,f,(cuDoubleComplex*)g,h,i,(cuDoubleComplex*)j,k,l,(cuDoubleComplex*)m,n,o,p,(cuDoubleComplex*)q,r,s,t)
    #endif
  #else /* not complex */
    #if defined(PETSC_USE_REAL_SINGLE)
      #define cusparse_scalartype CUDA_R_32F
      #define cusparse_csr_spgeam            cusparseScsrgeam2
      #define cusparse_csr_spgeam_bufferSize cusparseScsrgeam2_bufferSizeExt
    #elif defined(PETSC_USE_REAL_DOUBLE)
      #define cusparse_scalartype CUDA_R_64F
      #define cusparse_csr_spgeam            cusparseDcsrgeam2
      #define cusparse_csr_spgeam_bufferSize cusparseDcsrgeam2_bufferSizeExt
    #endif
  #endif
#else
  #if defined(PETSC_USE_COMPLEX)
    #if defined(PETSC_USE_REAL_SINGLE)
      #define cusparse_csr_spmv(a,b,c,d,e,f,g,h,i,j,k,l,m)       cusparseCcsrmv((a),(b),(c),(d),(e),(cuComplex*)(f),(g),(cuComplex*)(h),(i),(j),(cuComplex*)(k),(cuComplex*)(l),(cuComplex*)(m))
      #define cusparse_csr_spmm(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) cusparseCcsrmm((a),(b),(c),(d),(e),(f),(cuComplex*)(g),(h),(cuComplex*)(i),(j),(k),(cuComplex*)(l),(m),(cuComplex*)(n),(cuComplex*)(o),(p))
      #define cusparse_csr2csc(a,b,c,d,e,f,g,h,i,j,k,l)          cusparseCcsr2csc((a),(b),(c),(d),(cuComplex*)(e),(f),(g),(cuComplex*)(h),(i),(j),(k),(l))
      #define cusparse_hyb_spmv(a,b,c,d,e,f,g,h)                 cusparseChybmv((a),(b),(cuComplex*)(c),(d),(e),(cuComplex*)(f),(cuComplex*)(g),(cuComplex*)(h))
      #define cusparse_csr2hyb(a,b,c,d,e,f,g,h,i,j)              cusparseCcsr2hyb((a),(b),(c),(d),(cuComplex*)(e),(f),(g),(h),(i),(j))
      #define cusparse_hyb2csr(a,b,c,d,e,f)                      cusparseChyb2csr((a),(b),(c),(cuComplex*)(d),(e),(f))
      #define cusparse_csr_spgemm(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t) cusparseCcsrgemm(a,b,c,d,e,f,g,h,(cuComplex*)i,j,k,l,m,(cuComplex*)n,o,p,q,(cuComplex*)r,s,t)
      #define cusparse_csr_spgeam(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s)   cusparseCcsrgeam(a,b,c,(cuComplex*)d,e,f,(cuComplex*)g,h,i,(cuComplex*)j,k,l,(cuComplex*)m,n,o,p,(cuComplex*)q,r,s)
    #elif defined(PETSC_USE_REAL_DOUBLE)
      #define cusparse_csr_spmv(a,b,c,d,e,f,g,h,i,j,k,l,m)       cusparseZcsrmv((a),(b),(c),(d),(e),(cuDoubleComplex*)(f),(g),(cuDoubleComplex*)(h),(i),(j),(cuDoubleComplex*)(k),(cuDoubleComplex*)(l),(cuDoubleComplex*)(m))
      #define cusparse_csr_spmm(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) cusparseZcsrmm((a),(b),(c),(d),(e),(f),(cuDoubleComplex*)(g),(h),(cuDoubleComplex*)(i),(j),(k),(cuDoubleComplex*)(l),(m),(cuDoubleComplex*)(n),(cuDoubleComplex*)(o),(p))
      #define cusparse_csr2csc(a,b,c,d,e,f,g,h,i,j,k,l)          cusparseZcsr2csc((a),(b),(c),(d),(cuDoubleComplex*)(e),(f),(g),(cuDoubleComplex*)(h),(i),(j),(k),(l))
      #define cusparse_hyb_spmv(a,b,c,d,e,f,g,h)                 cusparseZhybmv((a),(b),(cuDoubleComplex*)(c),(d),(e),(cuDoubleComplex*)(f),(cuDoubleComplex*)(g),(cuDoubleComplex*)(h))
      #define cusparse_csr2hyb(a,b,c,d,e,f,g,h,i,j)              cusparseZcsr2hyb((a),(b),(c),(d),(cuDoubleComplex*)(e),(f),(g),(h),(i),(j))
      #define cusparse_hyb2csr(a,b,c,d,e,f)                      cusparseZhyb2csr((a),(b),(c),(cuDoubleComplex*)(d),(e),(f))
      #define cusparse_csr_spgemm(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t) cusparseZcsrgemm(a,b,c,d,e,f,g,h,(cuDoubleComplex*)i,j,k,l,m,(cuDoubleComplex*)n,o,p,q,(cuDoubleComplex*)r,s,t)
      #define cusparse_csr_spgeam(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s)   cusparseZcsrgeam(a,b,c,(cuDoubleComplex*)d,e,f,(cuDoubleComplex*)g,h,i,(cuDoubleComplex*)j,k,l,(cuDoubleComplex*)m,n,o,p,(cuDoubleComplex*)q,r,s)
    #endif
  #else
    #if defined(PETSC_USE_REAL_SINGLE)
      #define cusparse_csr_spmv cusparseScsrmv
      #define cusparse_csr_spmm cusparseScsrmm
      #define cusparse_csr2csc  cusparseScsr2csc
      #define cusparse_hyb_spmv cusparseShybmv
      #define cusparse_csr2hyb  cusparseScsr2hyb
      #define cusparse_hyb2csr  cusparseShyb2csr
      #define cusparse_csr_spgemm cusparseScsrgemm
      #define cusparse_csr_spgeam cusparseScsrgeam
    #elif defined(PETSC_USE_REAL_DOUBLE)
      #define cusparse_csr_spmv cusparseDcsrmv
      #define cusparse_csr_spmm cusparseDcsrmm
      #define cusparse_csr2csc  cusparseDcsr2csc
      #define cusparse_hyb_spmv cusparseDhybmv
      #define cusparse_csr2hyb  cusparseDcsr2hyb
      #define cusparse_hyb2csr  cusparseDhyb2csr
      #define cusparse_csr_spgemm cusparseDcsrgemm
      #define cusparse_csr_spgeam cusparseDcsrgeam
    #endif
  #endif
#endif

#define THRUSTINTARRAY32 thrust::device_vector<int>
#define THRUSTINTARRAY thrust::device_vector<PetscInt>
#define THRUSTARRAY thrust::device_vector<PetscScalar>

/* A CSR matrix structure */
struct CsrMatrix {
  PetscInt         num_rows;
  PetscInt         num_cols;
  PetscInt         num_entries;
  THRUSTINTARRAY32 *row_offsets;
  THRUSTINTARRAY32 *column_indices;
  THRUSTARRAY      *values;
};

/* This is struct holding the relevant data needed to a MatSolve */
struct Mat_SeqAIJCUSPARSETriFactorStruct {
  /* Data needed for triangular solve */
  cusparseMatDescr_t          descr;
  cusparseOperation_t         solveOp;
  CsrMatrix                   *csrMat;
  csrsvInfo_t                 solveInfo;
  cusparseSolvePolicy_t       solvePolicy;     /* whether level information is generated and used */
  int                         solveBufferSize;
  void                        *solveBuffer;
  size_t                      csr2cscBufferSize; /* to transpose the triangular factor (only used for CUDA >= 11.0) */
  void                        *csr2cscBuffer;
  PetscScalar                 *AA_h; /* managed host buffer for moving values to the GPU */
};

/* This is a larger struct holding all the triangular factors for a solve, transpose solve, and any indices used in a reordering */
struct Mat_SeqAIJCUSPARSETriFactors {
  Mat_SeqAIJCUSPARSETriFactorStruct *loTriFactorPtr; /* pointer for lower triangular (factored matrix) on GPU */
  Mat_SeqAIJCUSPARSETriFactorStruct *upTriFactorPtr; /* pointer for upper triangular (factored matrix) on GPU */
  Mat_SeqAIJCUSPARSETriFactorStruct *loTriFactorPtrTranspose; /* pointer for lower triangular (factored matrix) on GPU for the transpose (useful for BiCG) */
  Mat_SeqAIJCUSPARSETriFactorStruct *upTriFactorPtrTranspose; /* pointer for upper triangular (factored matrix) on GPU for the transpose (useful for BiCG)*/
  THRUSTINTARRAY                    *rpermIndices;  /* indices used for any reordering */
  THRUSTINTARRAY                    *cpermIndices;  /* indices used for any reordering */
  THRUSTARRAY                       *workVector;
  cusparseHandle_t                  handle;   /* a handle to the cusparse library */
  PetscInt                          nnz;      /* number of nonzeros ... need this for accurate logging between ICC and ILU */
  PetscScalar                       *a_band_d; /* GPU data for banded CSR LU factorization matrix diag(L)=1 */
  int                               *i_band_d; /* this could be optimized away */
  cudaDeviceProp                    dev_prop;
  PetscBool                         init_dev_prop;

  /* csrilu0/csric0 appeared in cusparse-8.0, but we use it along with cusparseSpSV,
     which first appeared in cusparse-11.5 with cuda-11.3.
  */
 #if CUSPARSE_VERSION >= 11500
  PetscScalar           *csrVal;
  int                   *csrRowPtr,*csrColIdx; /* a,i,j of M. Using int since some cusparse APIs only support 32-bit indices */

  /* Mixed mat descriptor types? yes, different cusparse APIs use different types */
  cusparseMatDescr_t    matDescr_M;
  cusparseSpMatDescr_t  spMatDescr_L,spMatDescr_U;
  cusparseSpSVDescr_t   spsvDescr_L,spsvDescr_Lt,spsvDescr_U,spsvDescr_Ut;

  cusparseDnVecDescr_t  dnVecDescr_X,dnVecDescr_Y;
  PetscScalar           *X,*Y; /* data array of dnVec X and Y */

  /* Mixed size types? yes, CUDA-11.7.0 declared cusparseDcsrilu02_bufferSizeExt() that returns size_t but did not implement it! */
  int                   factBufferSize_M; /* M ~= LU or LLt */
  size_t                spsvBufferSize_L,spsvBufferSize_Lt,spsvBufferSize_U,spsvBufferSize_Ut;
  /* cusparse needs various buffers for factorization and solve of L, U, Lt, or Ut.
     So save memory, we share the factorization buffer with one of spsvBuffer_L/U.
  */
  void                  *factBuffer_M,*spsvBuffer_L,*spsvBuffer_U,*spsvBuffer_Lt,*spsvBuffer_Ut;

  csrilu02Info_t        ilu0Info_M;
  csric02Info_t         ic0Info_M;
  int                   structural_zero,numerical_zero;
  cusparseSolvePolicy_t policy_M;

  /* In MatSolveTranspose() for ILU0, we use the two flags to do on-demand solve */
  PetscBool             createdTransposeSpSVDescr; /* Have we created SpSV descriptors for Lt, Ut? */
  PetscBool             updatedTransposeSpSVAnalysis; /* Have we updated SpSV analysis with the latest L, U values? */

  PetscLogDouble        numericFactFlops; /* Estimated FLOPs in ILU0/ICC0 numeric factorization */
 #endif
};

struct Mat_CusparseSpMV {
  PetscBool             initialized;    /* Don't rely on spmvBuffer != NULL to test if the struct is initialized, */
  size_t                spmvBufferSize; /* since I'm not sure if smvBuffer can be NULL even after cusparseSpMV_bufferSize() */
  void                  *spmvBuffer;
 #if PETSC_PKG_CUDA_VERSION_GE(11,0,0)  /* these are present from CUDA 10.1, but PETSc code makes use of them from CUDA 11 on */
  cusparseDnVecDescr_t  vecXDescr,vecYDescr; /* descriptor for the dense vectors in y=op(A)x */
 #endif
};

/* This is struct holding the relevant data needed to a MatMult */
struct Mat_SeqAIJCUSPARSEMultStruct {
  void               *mat;  /* opaque pointer to a matrix. This could be either a cusparseHybMat_t or a CsrMatrix */
  cusparseMatDescr_t descr; /* Data needed to describe the matrix for a multiply */
  THRUSTINTARRAY     *cprowIndices;   /* compressed row indices used in the parallel SpMV */
  PetscScalar        *alpha_one; /* pointer to a device "scalar" storing the alpha parameter in the SpMV */
  PetscScalar        *beta_zero; /* pointer to a device "scalar" storing the beta parameter in the SpMV as zero*/
  PetscScalar        *beta_one; /* pointer to a device "scalar" storing the beta parameter in the SpMV as one */
 #if PETSC_PKG_CUDA_VERSION_GE(11,0,0)
  cusparseSpMatDescr_t  matDescr;  /* descriptor for the matrix, used by SpMV and SpMM */
  Mat_CusparseSpMV      cuSpMV[3]; /* different Mat_CusparseSpMV structs for non-transpose, transpose, conj-transpose */
  Mat_SeqAIJCUSPARSEMultStruct() : matDescr(NULL) {
    for (int i=0; i<3; i++) cuSpMV[i].initialized = PETSC_FALSE;
  }
 #endif
};

/* This is a larger struct holding all the matrices for a SpMV, and SpMV Transpose */
struct Mat_SeqAIJCUSPARSE {
  Mat_SeqAIJCUSPARSEMultStruct *mat;            /* pointer to the matrix on the GPU */
  Mat_SeqAIJCUSPARSEMultStruct *matTranspose;   /* pointer to the matrix on the GPU (for the transpose ... useful for BiCG) */
  THRUSTARRAY                  *workVector;     /* pointer to a workvector to which we can copy the relevant indices of a vector we want to multiply */
  THRUSTINTARRAY32             *rowoffsets_gpu; /* rowoffsets on GPU in non-compressed-row format. It is used to convert CSR to CSC */
  PetscInt                     nrows;           /* number of rows of the matrix seen by GPU */
  MatCUSPARSEStorageFormat     format;          /* the storage format for the matrix on the device */
  PetscBool                    use_cpu_solve;   /* Use AIJ_Seq (I)LU solve */
  cudaStream_t                 stream;          /* a stream for the parallel SpMV ... this is not owned and should not be deleted */
  cusparseHandle_t             handle;          /* a handle to the cusparse library ... this may not be owned (if we're working in parallel i.e. multiGPUs) */
  PetscObjectState             nonzerostate;    /* track nonzero state to possibly recreate the GPU matrix */
 #if PETSC_PKG_CUDA_VERSION_GE(11,0,0)
  size_t                       csr2cscBufferSize; /* stuff used to compute the matTranspose above */
  void                         *csr2cscBuffer;    /* This is used as a C struct and is calloc'ed by PetscNewLog() */
  cusparseCsr2CscAlg_t         csr2cscAlg;        /* algorithms can be selected from command line options */
  cusparseSpMVAlg_t            spmvAlg;
  cusparseSpMMAlg_t            spmmAlg;
 #endif
  THRUSTINTARRAY               *csr2csc_i;
  PetscSplitCSRDataStructure   deviceMat;       /* Matrix on device for, eg, assembly */

  /* Stuff for basic COO support */
  THRUSTINTARRAY               *cooPerm;        /* permutation array that sorts the input coo entris by row and col */
  THRUSTINTARRAY               *cooPerm_a;      /* ordered array that indicate i-th nonzero (after sorting) is the j-th unique nonzero */

  /* Stuff for extended COO support */
  PetscBool                    use_extended_coo; /* Use extended COO format */
  PetscCount                   *jmap_d; /* perm[disp+jmap[i]..disp+jmap[i+1]) gives indices of entries in v[] associated with i-th nonzero of the matrix */
  PetscCount                   *perm_d;

  Mat_SeqAIJCUSPARSE() : use_extended_coo(PETSC_FALSE), perm_d(NULL), jmap_d(NULL) {}
};

PETSC_INTERN PetscErrorCode MatSeqAIJCUSPARSECopyToGPU(Mat);
PETSC_INTERN PetscErrorCode MatSetPreallocationCOO_SeqAIJCUSPARSE_Basic(Mat,PetscCount,const PetscInt[],const PetscInt[]);
PETSC_INTERN PetscErrorCode MatSetValuesCOO_SeqAIJCUSPARSE_Basic(Mat,const PetscScalar[],InsertMode);
PETSC_INTERN PetscErrorCode MatSeqAIJCUSPARSEMergeMats(Mat,Mat,MatReuse,Mat*);
PETSC_INTERN PetscErrorCode MatSeqAIJCUSPARSETriFactors_Reset(Mat_SeqAIJCUSPARSETriFactors_p*);

static inline bool isCudaMem(const void *data)
{
  cudaError_t                  cerr;
  struct cudaPointerAttributes attr;
  enum cudaMemoryType          mtype;
  cerr = cudaPointerGetAttributes(&attr,data); /* Do not check error since before CUDA 11.0, passing a host pointer returns cudaErrorInvalidValue */
  cudaGetLastError(); /* Reset the last error */
  #if (CUDART_VERSION < 10000)
    mtype = attr.memoryType;
  #else
    mtype = attr.type;
  #endif
  if (cerr == cudaSuccess && mtype == cudaMemoryTypeDevice) return true;
  else return false;
}

#endif