xref: /petsc/src/mat/impls/aij/seq/seqcusparse/cusparsematimpl.h (revision 4fb89dddf56594b92bdd2ca7e24874fafe134f45)
1 #if !defined(CUSPARSEMATIMPL)
2 #define CUSPARSEMATIMPL
3 
4 #include <petscpkg_version.h>
5 #include <petsc/private/cudavecimpl.h>
6 #include <petscaijdevice.h>
7 
8 #include <cusparse_v2.h>
9 
10 #include <algorithm>
11 #include <vector>
12 
13 #include <thrust/device_vector.h>
14 #include <thrust/device_ptr.h>
15 #include <thrust/device_malloc_allocator.h>
16 #include <thrust/transform.h>
17 #include <thrust/functional.h>
18 #include <thrust/sequence.h>
19 #include <thrust/system/system_error.h>
20 
21 #define PetscStackCallThrust(body) do {                                     \
22     try {                                                                   \
23       body;                                                                 \
24     } catch(thrust::system_error& e) {                                      \
25       SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in Thrust %s",e.what());\
26     }                                                                       \
27   } while (0)
28 
29 #if defined(PETSC_USE_COMPLEX)
30   #if defined(PETSC_USE_REAL_SINGLE)
31     const cuComplex PETSC_CUSPARSE_ONE        = {1.0f, 0.0f};
32     const cuComplex PETSC_CUSPARSE_ZERO       = {0.0f, 0.0f};
33     #define cusparseXcsrilu02_bufferSize(a,b,c,d,e,f,g,h,i)     cusparseCcsrilu02_bufferSize(a,b,c,d,(cuComplex*)e,f,g,h,i)
34     #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)
35     #define cusparseXcsrilu02(a,b,c,d,e,f,g,h,i,j)              cusparseCcsrilu02(a,b,c,d,(cuComplex*)e,f,g,h,i,j)
36     #define cusparseXcsric02_bufferSize(a,b,c,d,e,f,g,h,i)      cusparseCcsric02_bufferSize(a,b,c,d,(cuComplex*)e,f,g,h,i)
37     #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)
38     #define cusparseXcsric02(a,b,c,d,e,f,g,h,i,j)               cusparseCcsric02(a,b,c,d,(cuComplex*)e,f,g,h,i,j)
39   #elif defined(PETSC_USE_REAL_DOUBLE)
40     const cuDoubleComplex PETSC_CUSPARSE_ONE  = {1.0, 0.0};
41     const cuDoubleComplex PETSC_CUSPARSE_ZERO = {0.0, 0.0};
42     #define cusparseXcsrilu02_bufferSize(a,b,c,d,e,f,g,h,i)     cusparseZcsrilu02_bufferSize(a,b,c,d,(cuDoubleComplex*)e,f,g,h,i)
43     #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)
44     #define cusparseXcsrilu02(a,b,c,d,e,f,g,h,i,j)              cusparseZcsrilu02(a,b,c,d,(cuDoubleComplex*)e,f,g,h,i,j)
45     #define cusparseXcsric02_bufferSize(a,b,c,d,e,f,g,h,i)      cusparseZcsric02_bufferSize(a,b,c,d,(cuDoubleComplex*)e,f,g,h,i)
46     #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)
47     #define cusparseXcsric02(a,b,c,d,e,f,g,h,i,j)               cusparseZcsric02(a,b,c,d,(cuDoubleComplex*)e,f,g,h,i,j)
48   #endif
49 #else
50   const PetscScalar PETSC_CUSPARSE_ONE        = 1.0;
51   const PetscScalar PETSC_CUSPARSE_ZERO       = 0.0;
52   #if defined(PETSC_USE_REAL_SINGLE)
53     #define cusparseXcsrilu02_bufferSize    cusparseScsrilu02_bufferSize
54     #define cusparseXcsrilu02_analysis      cusparseScsrilu02_analysis
55     #define cusparseXcsrilu02               cusparseScsrilu02
56     #define cusparseXcsric02_bufferSize     cusparseScsric02_bufferSize
57     #define cusparseXcsric02_analysis       cusparseScsric02_analysis
58     #define cusparseXcsric02                cusparseScsric02
59   #elif defined(PETSC_USE_REAL_DOUBLE)
60     #define cusparseXcsrilu02_bufferSize    cusparseDcsrilu02_bufferSize
61     #define cusparseXcsrilu02_analysis      cusparseDcsrilu02_analysis
62     #define cusparseXcsrilu02               cusparseDcsrilu02
63     #define cusparseXcsric02_bufferSize     cusparseDcsric02_bufferSize
64     #define cusparseXcsric02_analysis       cusparseDcsric02_analysis
65     #define cusparseXcsric02                cusparseDcsric02
66   #endif
67 #endif
68 
69 #if PETSC_PKG_CUDA_VERSION_GE(9,0,0)
70   #define csrsvInfo_t              csrsv2Info_t
71   #define cusparseCreateCsrsvInfo  cusparseCreateCsrsv2Info
72   #define cusparseDestroyCsrsvInfo cusparseDestroyCsrsv2Info
73   #if defined(PETSC_USE_COMPLEX)
74     #if defined(PETSC_USE_REAL_SINGLE)
75       #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)
76       #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)
77       #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)
78     #elif defined(PETSC_USE_REAL_DOUBLE)
79       #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)
80       #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)
81       #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)
82     #endif
83   #else /* not complex */
84     #if defined(PETSC_USE_REAL_SINGLE)
85       #define cusparseXcsrsv_buffsize       cusparseScsrsv2_bufferSize
86       #define cusparseXcsrsv_analysis       cusparseScsrsv2_analysis
87       #define cusparseXcsrsv_solve          cusparseScsrsv2_solve
88     #elif defined(PETSC_USE_REAL_DOUBLE)
89       #define cusparseXcsrsv_buffsize       cusparseDcsrsv2_bufferSize
90       #define cusparseXcsrsv_analysis       cusparseDcsrsv2_analysis
91       #define cusparseXcsrsv_solve          cusparseDcsrsv2_solve
92     #endif
93   #endif
94 #else
95   #define csrsvInfo_t              cusparseSolveAnalysisInfo_t
96   #define cusparseCreateCsrsvInfo  cusparseCreateSolveAnalysisInfo
97   #define cusparseDestroyCsrsvInfo cusparseDestroySolveAnalysisInfo
98   #if defined(PETSC_USE_COMPLEX)
99     #if defined(PETSC_USE_REAL_SINGLE)
100       #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))
101       #define cusparseXcsrsv_analysis(a,b,c,d,e,f,g,h,i)  cusparseCcsrsv_analysis((a),(b),(c),(d),(e),(cuComplex*)(f),(g),(h),(i))
102     #elif defined(PETSC_USE_REAL_DOUBLE)
103       #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))
104       #define cusparseXcsrsv_analysis(a,b,c,d,e,f,g,h,i)  cusparseZcsrsv_analysis((a),(b),(c),(d),(e),(cuDoubleComplex*)(f),(g),(h),(i))
105     #endif
106   #else /* not complex */
107     #if defined(PETSC_USE_REAL_SINGLE)
108       #define cusparseXcsrsv_solve    cusparseScsrsv_solve
109       #define cusparseXcsrsv_analysis cusparseScsrsv_analysis
110     #elif defined(PETSC_USE_REAL_DOUBLE)
111       #define cusparseXcsrsv_solve    cusparseDcsrsv_solve
112       #define cusparseXcsrsv_analysis cusparseDcsrsv_analysis
113     #endif
114   #endif
115 #endif
116 
117 #if PETSC_PKG_CUDA_VERSION_GE(11,0,0)
118   #define cusparse_csr2csc cusparseCsr2cscEx2
119   #if defined(PETSC_USE_COMPLEX)
120     #if defined(PETSC_USE_REAL_SINGLE)
121       #define cusparse_scalartype CUDA_C_32F
122       #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)
123       #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)
124     #elif defined(PETSC_USE_REAL_DOUBLE)
125       #define cusparse_scalartype CUDA_C_64F
126       #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)
127       #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)
128     #endif
129   #else /* not complex */
130     #if defined(PETSC_USE_REAL_SINGLE)
131       #define cusparse_scalartype CUDA_R_32F
132       #define cusparse_csr_spgeam            cusparseScsrgeam2
133       #define cusparse_csr_spgeam_bufferSize cusparseScsrgeam2_bufferSizeExt
134     #elif defined(PETSC_USE_REAL_DOUBLE)
135       #define cusparse_scalartype CUDA_R_64F
136       #define cusparse_csr_spgeam            cusparseDcsrgeam2
137       #define cusparse_csr_spgeam_bufferSize cusparseDcsrgeam2_bufferSizeExt
138     #endif
139   #endif
140 #else
141   #if defined(PETSC_USE_COMPLEX)
142     #if defined(PETSC_USE_REAL_SINGLE)
143       #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))
144       #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))
145       #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))
146       #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))
147       #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))
148       #define cusparse_hyb2csr(a,b,c,d,e,f)                      cusparseChyb2csr((a),(b),(c),(cuComplex*)(d),(e),(f))
149       #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)
150       #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)
151     #elif defined(PETSC_USE_REAL_DOUBLE)
152       #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))
153       #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))
154       #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))
155       #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))
156       #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))
157       #define cusparse_hyb2csr(a,b,c,d,e,f)                      cusparseZhyb2csr((a),(b),(c),(cuDoubleComplex*)(d),(e),(f))
158       #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)
159       #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)
160     #endif
161   #else
162     #if defined(PETSC_USE_REAL_SINGLE)
163       #define cusparse_csr_spmv cusparseScsrmv
164       #define cusparse_csr_spmm cusparseScsrmm
165       #define cusparse_csr2csc  cusparseScsr2csc
166       #define cusparse_hyb_spmv cusparseShybmv
167       #define cusparse_csr2hyb  cusparseScsr2hyb
168       #define cusparse_hyb2csr  cusparseShyb2csr
169       #define cusparse_csr_spgemm cusparseScsrgemm
170       #define cusparse_csr_spgeam cusparseScsrgeam
171     #elif defined(PETSC_USE_REAL_DOUBLE)
172       #define cusparse_csr_spmv cusparseDcsrmv
173       #define cusparse_csr_spmm cusparseDcsrmm
174       #define cusparse_csr2csc  cusparseDcsr2csc
175       #define cusparse_hyb_spmv cusparseDhybmv
176       #define cusparse_csr2hyb  cusparseDcsr2hyb
177       #define cusparse_hyb2csr  cusparseDhyb2csr
178       #define cusparse_csr_spgemm cusparseDcsrgemm
179       #define cusparse_csr_spgeam cusparseDcsrgeam
180     #endif
181   #endif
182 #endif
183 
184 #define THRUSTINTARRAY32 thrust::device_vector<int>
185 #define THRUSTINTARRAY thrust::device_vector<PetscInt>
186 #define THRUSTARRAY thrust::device_vector<PetscScalar>
187 
188 /* A CSR matrix structure */
189 struct CsrMatrix {
190   PetscInt         num_rows;
191   PetscInt         num_cols;
192   PetscInt         num_entries;
193   THRUSTINTARRAY32 *row_offsets;
194   THRUSTINTARRAY32 *column_indices;
195   THRUSTARRAY      *values;
196 };
197 
198 /* This is struct holding the relevant data needed to a MatSolve */
199 struct Mat_SeqAIJCUSPARSETriFactorStruct {
200   /* Data needed for triangular solve */
201   cusparseMatDescr_t          descr;
202   cusparseOperation_t         solveOp;
203   CsrMatrix                   *csrMat;
204   csrsvInfo_t                 solveInfo;
205   cusparseSolvePolicy_t       solvePolicy;     /* whether level information is generated and used */
206   int                         solveBufferSize;
207   void                        *solveBuffer;
208   size_t                      csr2cscBufferSize; /* to transpose the triangular factor (only used for CUDA >= 11.0) */
209   void                        *csr2cscBuffer;
210   PetscScalar                 *AA_h; /* managed host buffer for moving values to the GPU */
211 };
212 
213 /* This is a larger struct holding all the triangular factors for a solve, transpose solve, and any indices used in a reordering */
214 struct Mat_SeqAIJCUSPARSETriFactors {
215   Mat_SeqAIJCUSPARSETriFactorStruct *loTriFactorPtr; /* pointer for lower triangular (factored matrix) on GPU */
216   Mat_SeqAIJCUSPARSETriFactorStruct *upTriFactorPtr; /* pointer for upper triangular (factored matrix) on GPU */
217   Mat_SeqAIJCUSPARSETriFactorStruct *loTriFactorPtrTranspose; /* pointer for lower triangular (factored matrix) on GPU for the transpose (useful for BiCG) */
218   Mat_SeqAIJCUSPARSETriFactorStruct *upTriFactorPtrTranspose; /* pointer for upper triangular (factored matrix) on GPU for the transpose (useful for BiCG)*/
219   THRUSTINTARRAY                    *rpermIndices;  /* indices used for any reordering */
220   THRUSTINTARRAY                    *cpermIndices;  /* indices used for any reordering */
221   THRUSTARRAY                       *workVector;
222   cusparseHandle_t                  handle;   /* a handle to the cusparse library */
223   PetscInt                          nnz;      /* number of nonzeros ... need this for accurate logging between ICC and ILU */
224   PetscScalar                       *a_band_d; /* GPU data for banded CSR LU factorization matrix diag(L)=1 */
225   int                               *i_band_d; /* this could be optimized away */
226   cudaDeviceProp                    dev_prop;
227   PetscBool                         init_dev_prop;
228 
229   /* csrilu0/csric0 appeared in cusparse-8.0, but we use it along with cusparseSpSV,
230      which first appeared in cusparse-11.5 with cuda-11.3.
231   */
232  #if CUSPARSE_VERSION >= 11500
233   PetscScalar           *csrVal;
234   int                   *csrRowPtr,*csrColIdx; /* a,i,j of M. Using int since some cusparse APIs only support 32-bit indices */
235 
236   /* Mixed mat descriptor types? yes, different cusparse APIs use different types */
237   cusparseMatDescr_t    matDescr_M;
238   cusparseSpMatDescr_t  spMatDescr_L,spMatDescr_U;
239   cusparseSpSVDescr_t   spsvDescr_L,spsvDescr_Lt,spsvDescr_U,spsvDescr_Ut;
240 
241   cusparseDnVecDescr_t  dnVecDescr_X,dnVecDescr_Y;
242   PetscScalar           *X,*Y; /* data array of dnVec X and Y */
243 
244   /* Mixed size types? yes, CUDA-11.7.0 declared cusparseDcsrilu02_bufferSizeExt() that returns size_t but did not implement it! */
245   int                   factBufferSize_M; /* M ~= LU or M ~= LLt */
246   void                  *factBuffer_M;
247   size_t                spsvBufferSize_L,spsvBufferSize_Lt,spsvBufferSize_U,spsvBufferSize_Ut;
248   void                  *spsvBuffer_L,*spsvBuffer_Lt,*spsvBuffer_U,*spsvBuffer_Ut;
249 
250   csrilu02Info_t        ilu0Info_M;
251   csric02Info_t         ic0Info_M;
252   int                   structural_zero,numerical_zero;
253   cusparseSolvePolicy_t policy_M;
254 
255   /* Have we ever called MatSolveTranspose() for ILU? Need this flag since we build transpose data structures on fly */
256   PetscBool             builtSolveTranspose;
257 
258   PetscLogDouble        numericFactFlops; /* Estimated FLOPs in ILU0/ICC0 numeric factorization */
259  #endif
260 };
261 
262 struct Mat_CusparseSpMV {
263   PetscBool             initialized;    /* Don't rely on spmvBuffer != NULL to test if the struct is initialized, */
264   size_t                spmvBufferSize; /* since I'm not sure if smvBuffer can be NULL even after cusparseSpMV_bufferSize() */
265   void                  *spmvBuffer;
266  #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 */
267   cusparseDnVecDescr_t  vecXDescr,vecYDescr; /* descriptor for the dense vectors in y=op(A)x */
268  #endif
269 };
270 
271 /* This is struct holding the relevant data needed to a MatMult */
272 struct Mat_SeqAIJCUSPARSEMultStruct {
273   void               *mat;  /* opaque pointer to a matrix. This could be either a cusparseHybMat_t or a CsrMatrix */
274   cusparseMatDescr_t descr; /* Data needed to describe the matrix for a multiply */
275   THRUSTINTARRAY     *cprowIndices;   /* compressed row indices used in the parallel SpMV */
276   PetscScalar        *alpha_one; /* pointer to a device "scalar" storing the alpha parameter in the SpMV */
277   PetscScalar        *beta_zero; /* pointer to a device "scalar" storing the beta parameter in the SpMV as zero*/
278   PetscScalar        *beta_one; /* pointer to a device "scalar" storing the beta parameter in the SpMV as one */
279  #if PETSC_PKG_CUDA_VERSION_GE(11,0,0)
280   cusparseSpMatDescr_t  matDescr;  /* descriptor for the matrix, used by SpMV and SpMM */
281   Mat_CusparseSpMV      cuSpMV[3]; /* different Mat_CusparseSpMV structs for non-transpose, transpose, conj-transpose */
282   Mat_SeqAIJCUSPARSEMultStruct() : matDescr(NULL) {
283     for (int i=0; i<3; i++) cuSpMV[i].initialized = PETSC_FALSE;
284   }
285  #endif
286 };
287 
288 /* This is a larger struct holding all the matrices for a SpMV, and SpMV Transpose */
289 struct Mat_SeqAIJCUSPARSE {
290   Mat_SeqAIJCUSPARSEMultStruct *mat;            /* pointer to the matrix on the GPU */
291   Mat_SeqAIJCUSPARSEMultStruct *matTranspose;   /* pointer to the matrix on the GPU (for the transpose ... useful for BiCG) */
292   THRUSTARRAY                  *workVector;     /* pointer to a workvector to which we can copy the relevant indices of a vector we want to multiply */
293   THRUSTINTARRAY32             *rowoffsets_gpu; /* rowoffsets on GPU in non-compressed-row format. It is used to convert CSR to CSC */
294   PetscInt                     nrows;           /* number of rows of the matrix seen by GPU */
295   MatCUSPARSEStorageFormat     format;          /* the storage format for the matrix on the device */
296   PetscBool                    use_cpu_solve;   /* Use AIJ_Seq (I)LU solve */
297   cudaStream_t                 stream;          /* a stream for the parallel SpMV ... this is not owned and should not be deleted */
298   cusparseHandle_t             handle;          /* a handle to the cusparse library ... this may not be owned (if we're working in parallel i.e. multiGPUs) */
299   PetscObjectState             nonzerostate;    /* track nonzero state to possibly recreate the GPU matrix */
300  #if PETSC_PKG_CUDA_VERSION_GE(11,0,0)
301   size_t                       csr2cscBufferSize; /* stuff used to compute the matTranspose above */
302   void                         *csr2cscBuffer;    /* This is used as a C struct and is calloc'ed by PetscNewLog() */
303   cusparseCsr2CscAlg_t         csr2cscAlg;        /* algorithms can be selected from command line options */
304   cusparseSpMVAlg_t            spmvAlg;
305   cusparseSpMMAlg_t            spmmAlg;
306  #endif
307   THRUSTINTARRAY               *csr2csc_i;
308   PetscSplitCSRDataStructure   deviceMat;       /* Matrix on device for, eg, assembly */
309 
310   /* Stuff for basic COO support */
311   THRUSTINTARRAY               *cooPerm;        /* permutation array that sorts the input coo entris by row and col */
312   THRUSTINTARRAY               *cooPerm_a;      /* ordered array that indicate i-th nonzero (after sorting) is the j-th unique nonzero */
313 
314   /* Stuff for extended COO support */
315   PetscBool                    use_extended_coo; /* Use extended COO format */
316   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 */
317   PetscCount                   *perm_d;
318 
319   Mat_SeqAIJCUSPARSE() : use_extended_coo(PETSC_FALSE), perm_d(NULL), jmap_d(NULL) {}
320 };
321 
322 PETSC_INTERN PetscErrorCode MatSeqAIJCUSPARSECopyToGPU(Mat);
323 PETSC_INTERN PetscErrorCode MatSetPreallocationCOO_SeqAIJCUSPARSE_Basic(Mat,PetscCount,const PetscInt[],const PetscInt[]);
324 PETSC_INTERN PetscErrorCode MatSetValuesCOO_SeqAIJCUSPARSE_Basic(Mat,const PetscScalar[],InsertMode);
325 PETSC_INTERN PetscErrorCode MatSeqAIJCUSPARSEMergeMats(Mat,Mat,MatReuse,Mat*);
326 PETSC_INTERN PetscErrorCode MatSeqAIJCUSPARSETriFactors_Reset(Mat_SeqAIJCUSPARSETriFactors_p*);
327 
328 static inline bool isCudaMem(const void *data)
329 {
330   cudaError_t                  cerr;
331   struct cudaPointerAttributes attr;
332   enum cudaMemoryType          mtype;
333   cerr = cudaPointerGetAttributes(&attr,data); /* Do not check error since before CUDA 11.0, passing a host pointer returns cudaErrorInvalidValue */
334   cudaGetLastError(); /* Reset the last error */
335   #if (CUDART_VERSION < 10000)
336     mtype = attr.memoryType;
337   #else
338     mtype = attr.type;
339   #endif
340   if (cerr == cudaSuccess && mtype == cudaMemoryTypeDevice) return true;
341   else return false;
342 }
343 
344 #endif
345