Actual source code: aij.h

petsc-3.3-p7 2013-05-11

  5: #include <petsc-private/matimpl.h>

  7: /*  
  8:     Struct header shared by SeqAIJ, SeqBAIJ and SeqSBAIJ matrix formats
  9: */
 10: #define SEQAIJHEADER(datatype)        \
 11:   PetscBool         roworiented;      /* if true, row-oriented input, default */\
 12:   PetscInt          nonew;            /* 1 don't add new nonzeros, -1 generate error on new */\
 13:   PetscInt          nounused;         /* -1 generate error on unused space */\
 14:   PetscBool         singlemalloc;     /* if true a, i, and j have been obtained with one big malloc */\
 15:   PetscInt          maxnz;            /* allocated nonzeros */\
 16:   PetscInt          *imax;            /* maximum space allocated for each row */\
 17:   PetscInt          *ilen;            /* actual length of each row */\
 18:   PetscBool         free_imax_ilen;  \
 19:   PetscInt          reallocs;         /* number of mallocs done during MatSetValues() \
 20:                                         as more values are set than were prealloced */\
 21:   PetscInt          rmax;             /* max nonzeros in any row */\
 22:   PetscBool         keepnonzeropattern;   /* keeps matrix structure same in calls to MatZeroRows()*/\
 23:   PetscBool         ignorezeroentries; \
 24:   PetscInt          *xtoy,*xtoyB;     /* map nonzero pattern of X into Y's, used by MatAXPY() */\
 25:   Mat               XtoY;             /* used by MatAXPY() */\
 26:   PetscBool         free_ij;          /* free the column indices j and row offsets i when the matrix is destroyed */ \
 27:   PetscBool         free_a;           /* free the numerical values when matrix is destroy */ \
 28:   Mat_CompressedRow compressedrow;    /* use compressed row format */                      \
 29:   PetscInt          nz;               /* nonzeros */                                       \
 30:   PetscInt          *i;               /* pointer to beginning of each row */               \
 31:   PetscInt          *j;               /* column values: j + i[k] - 1 is start of row k */  \
 32:   PetscInt          *diag;            /* pointers to diagonal elements */                  \
 33:   PetscBool         free_diag;         \
 34:   datatype          *a;               /* nonzero elements */                               \
 35:   PetscScalar       *solve_work;      /* work space used in MatSolve */                    \
 36:   IS                row, col, icol;   /* index sets, used for reorderings */ \
 37:   PetscBool         pivotinblocks;    /* pivot inside factorization of each diagonal block */ \
 38:   Mat               parent             /* set if this matrix was formed with MatDuplicate(...,MAT_SHARE_NONZERO_PATTERN,....); 
 39:                                          means that this shares some data structures with the parent including diag, ilen, imax, i, j */

 41: typedef struct {
 42:   MatTransposeColoring      matcoloring;
 43:   Mat                       Bt_den;  /* dense matrix of B^T */
 44:   Mat                       ABt_den; /* dense matrix of A*B^T */
 45:   PetscBool                 usecoloring;
 46:   PetscErrorCode (*destroy)(Mat);
 47: } Mat_MatMatTransMult;

 49: typedef struct {
 50:   PetscInt       *api,*apj;    /* symbolic structure of A*P */
 51:   PetscScalar    *apa;         /* temporary array for storing one row of A*P */
 52:   PetscErrorCode (*destroy)(Mat);
 53: } Mat_PtAP;

 55: typedef struct {
 56:   MatTransposeColoring matcoloring;
 57:   Mat                  Rt;    /* dense matrix of R^T */
 58:   Mat                  RARt;  /* dense matrix of R*A*R^T */
 59:   MatScalar            *work; /* work array to store columns of A*R^T used in MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqDense() */
 60:   PetscErrorCode (*destroy)(Mat);
 61: } Mat_RARt;

 63: /*  
 64:   MATSEQAIJ format - Compressed row storage (also called Yale sparse matrix
 65:   format) or compressed sparse row (CSR).  The i[] and j[] arrays start at 0. For example,
 66:   j[i[k]+p] is the pth column in row k.  Note that the diagonal
 67:   matrix elements are stored with the rest of the nonzeros (not separately).
 68: */

 70: /* Info about i-nodes (identical nodes) helper class for SeqAIJ */
 71: typedef struct {
 72:   MatScalar   *bdiag,*ibdiag,*ssor_work;      /* diagonal blocks of matrix used for MatSOR_SeqAIJ_Inode() */
 73:   PetscInt    bdiagsize;                       /* length of bdiag and ibdiag */
 74:   PetscBool   ibdiagvalid;                     /* do ibdiag[] and bdiag[] contain the most recent values */

 76:   PetscBool  use;
 77:   PetscInt   node_count;                    /* number of inodes */
 78:   PetscInt   *size;                         /* size of each inode */
 79:   PetscInt   limit;                         /* inode limit */
 80:   PetscInt   max_limit;                     /* maximum supported inode limit */
 81:   PetscBool  checked;                       /* if inodes have been checked for */
 82: } Mat_SeqAIJ_Inode;

 84: extern PetscErrorCode MatView_SeqAIJ_Inode(Mat,PetscViewer);
 85: extern PetscErrorCode MatAssemblyEnd_SeqAIJ_Inode(Mat,MatAssemblyType);
 86: extern PetscErrorCode MatDestroy_SeqAIJ_Inode(Mat);
 87: extern PetscErrorCode MatCreate_SeqAIJ_Inode(Mat);
 88: extern PetscErrorCode MatSetOption_SeqAIJ_Inode(Mat,MatOption,PetscBool );
 89: extern PetscErrorCode MatDuplicate_SeqAIJ_Inode(Mat,MatDuplicateOption,Mat*);
 90: extern PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat,Mat,MatDuplicateOption,PetscBool );
 91: extern PetscErrorCode MatLUFactorNumeric_SeqAIJ_Inode_inplace(Mat,Mat,const MatFactorInfo*);
 92: extern PetscErrorCode MatLUFactorNumeric_SeqAIJ_Inode(Mat,Mat,const MatFactorInfo*);

 94: typedef struct {
 95:   SEQAIJHEADER(MatScalar);
 96:   Mat_SeqAIJ_Inode inode;
 97:   MatScalar        *saved_values;             /* location for stashing nonzero values of matrix */

 99:   PetscScalar      *idiag,*mdiag,*ssor_work;  /* inverse of diagonal entries, diagonal values and workspace for Eisenstat trick */
100:   PetscBool        idiagvalid;                     /* current idiag[] and mdiag[] are valid */
101:   PetscScalar      *ibdiag;                   /* inverses of block diagonals */
102:   PetscBool        ibdiagvalid;               /* inverses of block diagonals are valid. */
103:   PetscScalar      fshift,omega;                   /* last used omega and fshift */

105:   ISColoring       coloring;                  /* set with MatADSetColoring() used by MatADSetValues() */
106: 
107:   PetscScalar      *matmult_abdense;     /* used by MatMatMult() */
108:   Mat_PtAP         *ptap;                /* used by MatPtAP() */
109: } Mat_SeqAIJ;

111: /*
112:   Frees the a, i, and j arrays from the XAIJ (AIJ, BAIJ, and SBAIJ) matrix types
113: */
116: PETSC_STATIC_INLINE PetscErrorCode MatSeqXAIJFreeAIJ(Mat AA,MatScalar **a,PetscInt **j,PetscInt **i)
117: {
119:   Mat_SeqAIJ     *A = (Mat_SeqAIJ*) AA->data;
120:   if (A->singlemalloc) {
121:     PetscFree3(*a,*j,*i);
122:   } else {
123:     if (A->free_a)  {PetscFree(*a);}
124:     if (A->free_ij) {PetscFree(*j);}
125:     if (A->free_ij) {PetscFree(*i);}
126:   }
127:   return 0;
128: }
129: /*
130:     Allocates larger a, i, and j arrays for the XAIJ (AIJ, BAIJ, and SBAIJ) matrix types
131:     This is a macro because it takes the datatype as an argument which can be either a Mat or a MatScalar
132: */
133: #define MatSeqXAIJReallocateAIJ(Amat,AM,BS2,NROW,ROW,COL,RMAX,AA,AI,AJ,RP,AP,AIMAX,NONEW,datatype) \
134:   if (NROW >= RMAX) {\
135:         Mat_SeqAIJ *Ain = (Mat_SeqAIJ*)Amat->data;\
136:         /* there is no extra room in row, therefore enlarge */ \
137:         PetscInt   CHUNKSIZE = 15,new_nz = AI[AM] + CHUNKSIZE,len,*new_i=0,*new_j=0; \
138:         datatype   *new_a; \
139:  \
140:         if (NONEW == -2) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"New nonzero at (%D,%D) caused a malloc",ROW,COL); \
141:         /* malloc new storage space */ \
142:         PetscMalloc3(BS2*new_nz,datatype,&new_a,new_nz,PetscInt,&new_j,AM+1,PetscInt,&new_i);\
143:  \
144:         /* copy over old data into new slots */ \
145:         for (ii=0; ii<ROW+1; ii++) {new_i[ii] = AI[ii];} \
146:         for (ii=ROW+1; ii<AM+1; ii++) {new_i[ii] = AI[ii]+CHUNKSIZE;} \
147:         PetscMemcpy(new_j,AJ,(AI[ROW]+NROW)*sizeof(PetscInt)); \
148:         len = (new_nz - CHUNKSIZE - AI[ROW] - NROW); \
149:         PetscMemcpy(new_j+AI[ROW]+NROW+CHUNKSIZE,AJ+AI[ROW]+NROW,len*sizeof(PetscInt)); \
150:         PetscMemcpy(new_a,AA,BS2*(AI[ROW]+NROW)*sizeof(datatype)); \
151:         PetscMemzero(new_a+BS2*(AI[ROW]+NROW),BS2*CHUNKSIZE*sizeof(datatype));\
152:         PetscMemcpy(new_a+BS2*(AI[ROW]+NROW+CHUNKSIZE),AA+BS2*(AI[ROW]+NROW),BS2*len*sizeof(datatype));  \
153:         /* free up old matrix storage */ \
154:         MatSeqXAIJFreeAIJ(A,&Ain->a,&Ain->j,&Ain->i);\
155:         AA = new_a; \
156:         Ain->a = (MatScalar*) new_a;                   \
157:         AI = Ain->i = new_i; AJ = Ain->j = new_j;  \
158:         Ain->singlemalloc = PETSC_TRUE; \
159:  \
160:         RP          = AJ + AI[ROW]; AP = AA + BS2*AI[ROW]; \
161:         RMAX        = AIMAX[ROW] = AIMAX[ROW] + CHUNKSIZE; \
162:         Ain->maxnz += BS2*CHUNKSIZE; \
163:         Ain->reallocs++; \
164:       } \


167: EXTERN_C_BEGIN
168: extern PetscErrorCode MatSeqAIJSetPreallocation_SeqAIJ(Mat,PetscInt,const PetscInt*);
169: EXTERN_C_END
170: extern PetscErrorCode MatILUFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,IS,const MatFactorInfo*);
171: extern PetscErrorCode MatILUFactorSymbolic_SeqAIJ(Mat,Mat,IS,IS,const MatFactorInfo*);
172: extern PetscErrorCode MatILUFactorSymbolic_SeqAIJ_ilu0(Mat,Mat,IS,IS,const MatFactorInfo*);

174: extern PetscErrorCode MatICCFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,const MatFactorInfo*);
175: extern PetscErrorCode MatICCFactorSymbolic_SeqAIJ(Mat,Mat,IS,const MatFactorInfo*);
176: extern PetscErrorCode MatCholeskyFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,const MatFactorInfo*);
177: extern PetscErrorCode MatCholeskyFactorSymbolic_SeqAIJ(Mat,Mat,IS,const MatFactorInfo*);
178: extern PetscErrorCode MatCholeskyFactorNumeric_SeqAIJ_inplace(Mat,Mat,const MatFactorInfo*);
179: extern PetscErrorCode MatCholeskyFactorNumeric_SeqAIJ(Mat,Mat,const MatFactorInfo*);
180: extern PetscErrorCode MatDuplicate_SeqAIJ(Mat,MatDuplicateOption,Mat*);
181: extern PetscErrorCode MatCopy_SeqAIJ(Mat,Mat,MatStructure);
182: extern PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat,PetscBool *,PetscInt*);
183: extern PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat);
184: extern PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat,PetscInt*,PetscInt**);

186: extern PetscErrorCode MatMult_SeqAIJ(Mat A,Vec,Vec);
187: extern PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec,Vec,Vec);
188: extern PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec,Vec);
189: extern PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec,Vec,Vec);
190: extern PetscErrorCode MatSOR_SeqAIJ(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);

192: extern PetscErrorCode MatSetColoring_SeqAIJ(Mat,ISColoring);
193: extern PetscErrorCode MatSetValuesAdic_SeqAIJ(Mat,void*);
194: extern PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat,PetscInt,void*);

196: extern PetscErrorCode MatGetSymbolicTranspose_SeqAIJ(Mat,PetscInt *[],PetscInt *[]);
197: extern PetscErrorCode MatGetSymbolicTransposeReduced_SeqAIJ(Mat,PetscInt,PetscInt,PetscInt *[],PetscInt *[]);
198: extern PetscErrorCode MatRestoreSymbolicTranspose_SeqAIJ(Mat,PetscInt *[],PetscInt *[]);
199: extern PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat,Mat*);
200: extern PetscErrorCode MatToSymmetricIJ_SeqAIJ(PetscInt,PetscInt*,PetscInt*,PetscInt,PetscInt,PetscInt**,PetscInt**);
201: extern PetscErrorCode MatLUFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,IS,const MatFactorInfo*);
202: extern PetscErrorCode MatLUFactorSymbolic_SeqAIJ(Mat,Mat,IS,IS,const MatFactorInfo*);
203: extern PetscErrorCode MatLUFactorNumeric_SeqAIJ_inplace(Mat,Mat,const MatFactorInfo*);
204: extern PetscErrorCode MatLUFactorNumeric_SeqAIJ(Mat,Mat,const MatFactorInfo*);
205: extern PetscErrorCode MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(Mat,Mat,const MatFactorInfo*);
206: extern PetscErrorCode MatLUFactor_SeqAIJ(Mat,IS,IS,const MatFactorInfo*);
207: extern PetscErrorCode MatSolve_SeqAIJ_inplace(Mat,Vec,Vec);
208: extern PetscErrorCode MatSolve_SeqAIJ(Mat,Vec,Vec);
209: extern PetscErrorCode MatSolve_SeqAIJ_Inode_inplace(Mat,Vec,Vec);
210: extern PetscErrorCode MatSolve_SeqAIJ_Inode(Mat,Vec,Vec);
211: extern PetscErrorCode MatSolve_SeqAIJ_NaturalOrdering_inplace(Mat,Vec,Vec);
212: extern PetscErrorCode MatSolve_SeqAIJ_NaturalOrdering(Mat,Vec,Vec);
213: extern PetscErrorCode MatSolve_SeqAIJ_InplaceWithPerm(Mat,Vec,Vec);
214: extern PetscErrorCode MatSolveAdd_SeqAIJ_inplace(Mat,Vec,Vec,Vec);
215: extern PetscErrorCode MatSolveAdd_SeqAIJ(Mat,Vec,Vec,Vec);
216: extern PetscErrorCode MatSolveTranspose_SeqAIJ_inplace(Mat,Vec,Vec);
217: extern PetscErrorCode MatSolveTranspose_SeqAIJ(Mat,Vec,Vec);
218: extern PetscErrorCode MatSolveTransposeAdd_SeqAIJ_inplace(Mat,Vec,Vec,Vec);
219: extern PetscErrorCode MatSolveTransposeAdd_SeqAIJ(Mat,Vec,Vec,Vec);
220: extern PetscErrorCode MatMatSolve_SeqAIJ_inplace(Mat,Mat,Mat);
221: extern PetscErrorCode MatMatSolve_SeqAIJ(Mat,Mat,Mat);
222: extern PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg);
223: extern PetscErrorCode MatFDColoringCreate_SeqAIJ(Mat,ISColoring,MatFDColoring);
224: extern PetscErrorCode MatLoad_SeqAIJ(Mat,PetscViewer);
225: extern PetscErrorCode RegisterApplyPtAPRoutines_Private(Mat);
226: extern PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*);
227: extern PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable(Mat,Mat,PetscReal,Mat*);
228: extern PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable_fast(Mat,Mat,PetscReal,Mat*);
229: extern PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat);
230: extern PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqAIJ_Scalable(Mat,Mat,Mat);

232: extern PetscErrorCode MatPtAPSymbolic_SeqAIJ(Mat,Mat,PetscReal,Mat*);
233: extern PetscErrorCode MatPtAPNumeric_SeqAIJ(Mat,Mat,Mat);
234: extern PetscErrorCode MatPtAPSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*);
235: extern PetscErrorCode MatPtAPSymbolic_SeqAIJ_SeqAIJ_SparseAxpy2(Mat,Mat,PetscReal,Mat*);
236: extern PetscErrorCode MatPtAPNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat);
237: extern PetscErrorCode MatPtAPNumeric_SeqAIJ_SeqAIJ_SparseAxpy(Mat,Mat,Mat);
238: extern PetscErrorCode MatPtAPNumeric_SeqAIJ_SeqAIJ_SparseAxpy2(Mat,Mat,Mat);

240: extern PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*);
241: extern PetscErrorCode MatRARtNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat);

243: extern PetscErrorCode MatTransposeMatMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);
244: extern PetscErrorCode MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*);
245: extern PetscErrorCode MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat);
246: extern PetscErrorCode MatMatTransposeMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);
247: extern PetscErrorCode MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*);
248: extern PetscErrorCode MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat);
249: extern PetscErrorCode MatTransposeColoringCreate_SeqAIJ(Mat,ISColoring,MatTransposeColoring);
250: extern PetscErrorCode MatTransColoringApplySpToDen_SeqAIJ(MatTransposeColoring,Mat,Mat);
251: extern PetscErrorCode MatTransColoringApplyDenToSp_SeqAIJ(MatTransposeColoring,Mat,Mat);

253: extern PetscErrorCode MatSetValues_SeqAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
254: extern PetscErrorCode MatGetRow_SeqAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
255: extern PetscErrorCode MatRestoreRow_SeqAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
256: extern PetscErrorCode MatAXPY_SeqAIJ(Mat,PetscScalar,Mat,MatStructure);
257: extern PetscErrorCode MatGetRowIJ_SeqAIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
258: extern PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
259: extern PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
260: extern PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
261: extern PetscErrorCode MatDestroy_SeqAIJ(Mat);
262: extern PetscErrorCode MatSetUp_SeqAIJ(Mat);
263: extern PetscErrorCode MatView_SeqAIJ(Mat,PetscViewer);

265: extern PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat);
266: extern PetscErrorCode MatSeqAIJInvalidateDiagonal_Inode(Mat);
267: extern PetscErrorCode Mat_CheckInode(Mat,PetscBool );
268: extern PetscErrorCode Mat_CheckInode_FactorLU(Mat,PetscBool );

270: extern PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat,Mat,PetscInt*);

272: EXTERN_C_BEGIN
273: extern PetscErrorCode  MatConvert_SeqAIJ_SeqSBAIJ(Mat,const MatType,MatReuse,Mat*);
274: extern PetscErrorCode  MatConvert_SeqAIJ_SeqBAIJ(Mat,const MatType,MatReuse,Mat*);
275: extern PetscErrorCode  MatConvert_SeqAIJ_SeqAIJPERM(Mat,const MatType,MatReuse,Mat*);
276: extern PetscErrorCode  MatReorderForNonzeroDiagonal_SeqAIJ(Mat,PetscReal,IS,IS);
277: extern PetscErrorCode  MatMatMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);
278: extern PetscErrorCode  MatMatMult_SeqDense_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);
279: extern PetscErrorCode  MatRARt_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);
280: extern PetscErrorCode  MatCreate_SeqAIJ(Mat);
281: EXTERN_C_END
282: extern PetscErrorCode  MatAssemblyEnd_SeqAIJ(Mat,MatAssemblyType);
283: extern PetscErrorCode  MatDestroy_SeqAIJ(Mat);


286: /*
287:     PetscSparseDenseMinusDot - The inner kernel of triangular solves and Gauss-Siedel smoothing. \sum_i xv[i] * r[xi[i]] for CSR storage

289:   Input Parameters:
290: +  nnz - the number of entries
291: .  r - the array of vector values
292: .  xv - the matrix values for the row
293: -  xi - the column indices of the nonzeros in the row

295:   Output Parameter:
296: .  sum - negative the sum of results

298:   PETSc compile flags:
299: +   PETSC_KERNEL_USE_UNROLL_4 -   don't use this; it changes nnz and hence is WRONG
300: -   PETSC_KERNEL_USE_UNROLL_2 -

302: .seealso: PetscSparseDensePlusDot()

304: */
305: #ifdef PETSC_KERNEL_USE_UNROLL_4
306: #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) {\
307: if (nnz > 0) {\
308: switch (nnz & 0x3) {\
309: case 3: sum -= *xv++ * r[*xi++];\
310: case 2: sum -= *xv++ * r[*xi++];\
311: case 1: sum -= *xv++ * r[*xi++];\
312: nnz -= 4;}\
313: while (nnz > 0) {\
314: sum -=  xv[0] * r[xi[0]] - xv[1] * r[xi[1]] -\
315:         xv[2] * r[xi[2]] - xv[3] * r[xi[3]];\
316: xv  += 4; xi += 4; nnz -= 4; }}}

318: #elif defined(PETSC_KERNEL_USE_UNROLL_2)
319: #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) {\
320: PetscInt __i,__i1,__i2;\
321: for(__i=0;__i<nnz-1;__i+=2) {__i1 = xi[__i]; __i2=xi[__i+1];\
322: sum -= (xv[__i]*r[__i1] + xv[__i+1]*r[__i2]);}\
323: if (nnz & 0x1) sum -= xv[__i] * r[xi[__i]];}

325: #else
326: #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) {\
327: PetscInt __i;\
328: for(__i=0;__i<nnz;__i++) sum -= xv[__i] * r[xi[__i]];}
329: #endif



333: /*
334:     PetscSparseDensePlusDot - The inner kernel of matrix-vector product \sum_i xv[i] * r[xi[i]] for CSR storage

336:   Input Parameters:
337: +  nnz - the number of entries
338: .  r - the array of vector values
339: .  xv - the matrix values for the row
340: -  xi - the column indices of the nonzeros in the row

342:   Output Parameter:
343: .  sum - the sum of results

345:   PETSc compile flags:
346: +   PETSC_KERNEL_USE_UNROLL_4 -  don't use this; it changes nnz and hence is WRONG
347: -   PETSC_KERNEL_USE_UNROLL_2 -

349: .seealso: PetscSparseDenseMinusDot()

351: */
352: #ifdef PETSC_KERNEL_USE_UNROLL_4
353: #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) {\
354: if (nnz > 0) {\
355: switch (nnz & 0x3) {\
356: case 3: sum += *xv++ * r[*xi++];\
357: case 2: sum += *xv++ * r[*xi++];\
358: case 1: sum += *xv++ * r[*xi++];\
359: nnz -= 4;}\
360: while (nnz > 0) {\
361: sum +=  xv[0] * r[xi[0]] + xv[1] * r[xi[1]] +\
362:         xv[2] * r[xi[2]] + xv[3] * r[xi[3]];\
363: xv  += 4; xi += 4; nnz -= 4; }}}

365: #elif defined(PETSC_KERNEL_USE_UNROLL_2)
366: #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) {\
367: PetscInt __i,__i1,__i2;\
368: for(__i=0;__i<nnz-1;__i+=2) {__i1 = xi[__i]; __i2=xi[__i+1];\
369: sum += (xv[__i]*r[__i1] + xv[__i+1]*r[__i2]);}\
370: if (nnz & 0x1) sum += xv[__i] * r[xi[__i]];}

372: #else
373: #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) {\
374:  PetscInt __i;\
375: for(__i=0;__i<nnz;__i++) sum += xv[__i] * r[xi[__i]];}
376: #endif

378: #endif