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sunmatrix_sparse.c
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/*
* -----------------------------------------------------------------
* Programmer(s): Daniel Reynolds @ SMU
* David Gardner @ LLNL
* Based on code sundials_sparse.c by: Carol Woodward and
* Slaven Peles @ LLNL, and Daniel R. Reynolds @ SMU
* -----------------------------------------------------------------
* SUNDIALS Copyright Start
* Copyright (c) 2002-2024, Lawrence Livermore National Security
* and Southern Methodist University.
* All rights reserved.
*
* See the top-level LICENSE and NOTICE files for details.
*
* SPDX-License-Identifier: BSD-3-Clause
* SUNDIALS Copyright End
* -----------------------------------------------------------------
* This is the implementation file for the sparse implementation of
* the SUNMATRIX package.
* -----------------------------------------------------------------
*/
#include <stdio.h>
#include <stdlib.h>
#include <sundials/priv/sundials_errors_impl.h>
#include <sundials/sundials_errors.h>
#include <sundials/sundials_math.h>
#include <sunmatrix/sunmatrix_band.h>
#include <sunmatrix/sunmatrix_dense.h>
#include <sunmatrix/sunmatrix_sparse.h>
#include "sundials_macros.h"
#define ZERO SUN_RCONST(0.0)
#define ONE SUN_RCONST(1.0)
/* Private function prototypes */
static sunbooleantype compatibleMatrices(SUNMatrix A, SUNMatrix B);
static sunbooleantype compatibleMatrixAndVectors(SUNMatrix A, N_Vector x,
N_Vector y);
static SUNErrCode Matvec_SparseCSC(SUNMatrix A, N_Vector x, N_Vector y);
static SUNErrCode Matvec_SparseCSR(SUNMatrix A, N_Vector x, N_Vector y);
static SUNErrCode format_convert(const SUNMatrix A, SUNMatrix B);
/*
* -----------------------------------------------------------------
* exported functions
* -----------------------------------------------------------------
*/
/*
* ==================================================================
* Private function prototypes (functions working on SlsMat)
* ==================================================================
*/
/* ----------------------------------------------------------------------------
* Function to create a new sparse matrix
*/
SUNMatrix SUNSparseMatrix(sunindextype M, sunindextype N, sunindextype NNZ,
int sparsetype, SUNContext sunctx)
{
SUNFunctionBegin(sunctx);
SUNMatrix A;
SUNMatrixContent_Sparse content;
/* return with NULL matrix on illegal input */
SUNAssertNull(M > 0 && N > 0, SUN_ERR_ARG_OUTOFRANGE);
SUNAssertNull(NNZ >= 0, SUN_ERR_ARG_OUTOFRANGE);
SUNAssertNull(sparsetype == CSC_MAT || sparsetype == CSR_MAT,
SUN_ERR_ARG_OUTOFRANGE);
/* Create an empty matrix object */
A = NULL;
A = SUNMatNewEmpty(sunctx);
SUNCheckLastErrNull();
/* Attach operations */
A->ops->getid = SUNMatGetID_Sparse;
A->ops->clone = SUNMatClone_Sparse;
A->ops->destroy = SUNMatDestroy_Sparse;
A->ops->zero = SUNMatZero_Sparse;
A->ops->copy = SUNMatCopy_Sparse;
A->ops->scaleadd = SUNMatScaleAdd_Sparse;
A->ops->scaleaddi = SUNMatScaleAddI_Sparse;
A->ops->matvec = SUNMatMatvec_Sparse;
A->ops->space = SUNMatSpace_Sparse;
/* Create content */
content = NULL;
content = (SUNMatrixContent_Sparse)malloc(sizeof *content);
SUNAssertNull(content, SUN_ERR_MALLOC_FAIL);
/* Attach content */
A->content = content;
/* Fill content */
content->sparsetype = sparsetype;
content->M = M;
content->N = N;
content->NNZ = NNZ;
switch (sparsetype)
{
case CSC_MAT:
content->NP = N;
content->rowvals = &(content->indexvals);
content->colptrs = &(content->indexptrs);
/* CSR indices */
content->colvals = NULL;
content->rowptrs = NULL;
break;
case CSR_MAT:
content->NP = M;
content->colvals = &(content->indexvals);
content->rowptrs = &(content->indexptrs);
/* CSC indices */
content->rowvals = NULL;
content->colptrs = NULL;
}
content->data = NULL;
content->indexvals = NULL;
content->indexptrs = NULL;
/* Allocate content */
content->data = (sunrealtype*)calloc(NNZ, sizeof(sunrealtype));
SUNAssertNull(content->data, SUN_ERR_MALLOC_FAIL);
content->indexvals = (sunindextype*)calloc(NNZ, sizeof(sunindextype));
SUNAssertNull(content->indexvals, SUN_ERR_MALLOC_FAIL);
content->indexptrs = (sunindextype*)calloc((content->NP + 1),
sizeof(sunindextype));
SUNAssertNull(content->indexptrs, SUN_ERR_MALLOC_FAIL);
content->indexptrs[content->NP] = 0;
return (A);
}
/* ----------------------------------------------------------------------------
* Function to create a new sparse matrix from an existing dense matrix
* by copying all nonzero values into the sparse matrix structure. Returns NULL
* if the request for matrix storage cannot be satisfied.
*/
SUNMatrix SUNSparseFromDenseMatrix(SUNMatrix Ad, sunrealtype droptol,
int sparsetype)
{
SUNFunctionBegin(Ad->sunctx);
sunindextype i, j, nnz;
sunindextype M, N;
SUNMatrix As;
SUNAssertNull(SUNMatGetID(Ad) == SUNMATRIX_DENSE, SUN_ERR_ARG_WRONGTYPE);
SUNAssertNull(sparsetype == CSC_MAT || sparsetype == CSR_MAT,
SUN_ERR_ARG_OUTOFRANGE);
SUNAssertNull(droptol >= ZERO, SUN_ERR_ARG_OUTOFRANGE);
/* set size of new matrix */
M = SM_ROWS_D(Ad);
N = SM_COLUMNS_D(Ad);
/* determine total number of nonzeros */
nnz = 0;
for (j = 0; j < N; j++)
{
for (i = 0; i < M; i++)
{
nnz += (SUNRabs(SM_ELEMENT_D(Ad, i, j)) > droptol);
}
}
/* allocate sparse matrix */
As = NULL;
As = SUNSparseMatrix(M, N, nnz, sparsetype, Ad->sunctx);
SUNCheckLastErrNull();
/* copy nonzeros from Ad into As, based on CSR/CSC type */
nnz = 0;
if (sparsetype == CSC_MAT)
{
for (j = 0; j < N; j++)
{
(SM_INDEXPTRS_S(As))[j] = nnz;
for (i = 0; i < M; i++)
{
if (SUNRabs(SM_ELEMENT_D(Ad, i, j)) > droptol)
{
(SM_INDEXVALS_S(As))[nnz] = i;
(SM_DATA_S(As))[nnz++] = SM_ELEMENT_D(Ad, i, j);
}
}
}
(SM_INDEXPTRS_S(As))[N] = nnz;
}
else
{ /* CSR_MAT */
for (i = 0; i < M; i++)
{
(SM_INDEXPTRS_S(As))[i] = nnz;
for (j = 0; j < N; j++)
{
if (SUNRabs(SM_ELEMENT_D(Ad, i, j)) > droptol)
{
(SM_INDEXVALS_S(As))[nnz] = j;
(SM_DATA_S(As))[nnz++] = SM_ELEMENT_D(Ad, i, j);
}
}
}
(SM_INDEXPTRS_S(As))[M] = nnz;
}
return (As);
}
/* ----------------------------------------------------------------------------
* Function to create a new sparse matrix from an existing band matrix
* by copying all nonzero values into the sparse matrix structure. Returns NULL
* if the request for matrix storage cannot be satisfied.
*/
SUNMatrix SUNSparseFromBandMatrix(SUNMatrix Ab, sunrealtype droptol,
int sparsetype)
{
SUNFunctionBegin(Ab->sunctx);
sunindextype i, j, nnz;
sunindextype M, N;
SUNMatrix As;
SUNAssertNull(SUNMatGetID(Ab) == SUNMATRIX_BAND, SUN_ERR_ARG_WRONGTYPE);
SUNAssertNull(sparsetype == CSC_MAT || sparsetype == CSR_MAT,
SUN_ERR_ARG_OUTOFRANGE);
SUNAssertNull(droptol >= ZERO, SUN_ERR_ARG_OUTOFRANGE);
/* set size of new matrix */
M = SM_ROWS_B(Ab);
N = SM_COLUMNS_B(Ab);
/* determine total number of nonzeros */
nnz = 0;
for (j = 0; j < N; j++)
{
for (i = SUNMAX(0, j - SM_UBAND_B(Ab));
i <= SUNMIN(M - 1, j + SM_LBAND_B(Ab)); i++)
{
nnz += (SUNRabs(SM_ELEMENT_B(Ab, i, j)) > droptol);
}
}
/* allocate sparse matrix */
As = SUNSparseMatrix(M, N, nnz, sparsetype, Ab->sunctx);
SUNCheckLastErrNull();
/* copy nonzeros from Ab into As, based on CSR/CSC type */
nnz = 0;
if (sparsetype == CSC_MAT)
{
for (j = 0; j < N; j++)
{
(SM_INDEXPTRS_S(As))[j] = nnz;
for (i = SUNMAX(0, j - SM_UBAND_B(Ab));
i <= SUNMIN(M - 1, j + SM_LBAND_B(Ab)); i++)
{
if (SUNRabs(SM_ELEMENT_B(Ab, i, j)) > droptol)
{
(SM_INDEXVALS_S(As))[nnz] = i;
(SM_DATA_S(As))[nnz++] = SM_ELEMENT_B(Ab, i, j);
}
}
}
(SM_INDEXPTRS_S(As))[N] = nnz;
}
else
{ /* CSR_MAT */
for (i = 0; i < M; i++)
{
(SM_INDEXPTRS_S(As))[i] = nnz;
for (j = SUNMAX(0, i - SM_LBAND_B(Ab));
j <= SUNMIN(N - 1, i + SM_UBAND_B(Ab)); j++)
{
if (SUNRabs(SM_ELEMENT_B(Ab, i, j)) > droptol)
{
(SM_INDEXVALS_S(As))[nnz] = j;
(SM_DATA_S(As))[nnz++] = SM_ELEMENT_B(Ab, i, j);
}
}
}
(SM_INDEXPTRS_S(As))[M] = nnz;
}
return (As);
}
/* ----------------------------------------------------------------------------
* Function to create a new CSR matrix from a CSC matrix.
*/
SUNErrCode SUNSparseMatrix_ToCSR(const SUNMatrix A, SUNMatrix* Bout)
{
SUNFunctionBegin(A->sunctx);
SUNAssert(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
SUNAssert(SM_SPARSETYPE_S(A) == CSC_MAT, SUN_ERR_ARG_OUTOFRANGE);
*Bout = SUNSparseMatrix(SM_ROWS_S(A), SM_COLUMNS_S(A), SM_NNZ_S(A), CSR_MAT,
A->sunctx);
SUNCheckLastErr();
SUNCheckCall(format_convert(A, *Bout));
return SUN_SUCCESS;
}
/* ----------------------------------------------------------------------------
* Function to create a new CSC matrix from a CSR matrix.
*/
SUNErrCode SUNSparseMatrix_ToCSC(const SUNMatrix A, SUNMatrix* Bout)
{
SUNFunctionBegin(A->sunctx);
SUNAssert(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
SUNAssert(SM_SPARSETYPE_S(A) == CSR_MAT, SUN_ERR_ARG_OUTOFRANGE);
*Bout = SUNSparseMatrix(SM_ROWS_S(A), SM_COLUMNS_S(A), SM_NNZ_S(A), CSC_MAT,
A->sunctx);
SUNCheckLastErr();
SUNCheckCall(format_convert(A, *Bout));
return SUN_SUCCESS;
}
/* ----------------------------------------------------------------------------
* Function to reallocate internal sparse matrix storage arrays so that the
* resulting sparse matrix holds indexptrs[NP] nonzeros. Returns 0 on success
* and 1 on failure (e.g. if A does not have sparse type, or if nnz is negative)
*/
SUNErrCode SUNSparseMatrix_Realloc(SUNMatrix A)
{
sunindextype nzmax;
SUNFunctionBegin(A->sunctx);
SUNAssert(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
/* get total number of nonzeros (return with failure if illegal) */
nzmax = (SM_INDEXPTRS_S(A))[SM_NP_S(A)];
SUNAssert(nzmax >= 0, SUN_ERR_ARG_CORRUPT);
/* perform reallocation */
SM_INDEXVALS_S(A) = (sunindextype*)realloc(SM_INDEXVALS_S(A),
nzmax * sizeof(sunindextype));
SUNAssert(SM_INDEXVALS_S(A), SUN_ERR_MALLOC_FAIL);
SM_DATA_S(A) = (sunrealtype*)realloc(SM_DATA_S(A), nzmax * sizeof(sunrealtype));
SUNAssert(SM_DATA_S(A), SUN_ERR_MALLOC_FAIL);
SM_NNZ_S(A) = nzmax;
return SUN_SUCCESS;
}
/* ----------------------------------------------------------------------------
* Function to reallocate internal sparse matrix storage arrays so that the
* resulting sparse matrix has storage for a specified number of nonzeros.
* Returns 0 on success and 1 on failure (e.g. if A does not have sparse type,
* or if nnz is negative)
*/
SUNErrCode SUNSparseMatrix_Reallocate(SUNMatrix A, sunindextype NNZ)
{
SUNFunctionBegin(A->sunctx);
SUNAssert(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
SUNAssert(NNZ >= 0, SUN_ERR_ARG_OUTOFRANGE);
/* perform reallocation */
SM_INDEXVALS_S(A) = (sunindextype*)realloc(SM_INDEXVALS_S(A),
NNZ * sizeof(sunindextype));
SUNAssert(SM_INDEXVALS_S(A), SUN_ERR_MALLOC_FAIL);
SM_DATA_S(A) = (sunrealtype*)realloc(SM_DATA_S(A), NNZ * sizeof(sunrealtype));
SUNAssert(SM_DATA_S(A), SUN_ERR_MALLOC_FAIL);
SM_NNZ_S(A) = NNZ;
return SUN_SUCCESS;
}
/* ----------------------------------------------------------------------------
* Function to print the sparse matrix
*/
void SUNSparseMatrix_Print(SUNMatrix A, FILE* outfile)
{
SUNFunctionBegin(A->sunctx);
sunindextype i, j;
char* matrixtype;
char* indexname;
SUNAssertVoid(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
/* perform operation */
if (SM_SPARSETYPE_S(A) == CSC_MAT)
{
indexname = (char*)"col";
matrixtype = (char*)"CSC";
}
else
{
indexname = (char*)"row";
matrixtype = (char*)"CSR";
}
fprintf(outfile, "\n");
fprintf(outfile, "%ld by %ld %s matrix, NNZ: %ld \n", (long int)SM_ROWS_S(A),
(long int)SM_COLUMNS_S(A), matrixtype, (long int)SM_NNZ_S(A));
for (j = 0; j < SM_NP_S(A); j++)
{
fprintf(outfile, "%s %ld : locations %ld to %ld\n", indexname, (long int)j,
(long int)(SM_INDEXPTRS_S(A))[j],
(long int)(SM_INDEXPTRS_S(A))[j + 1] - 1);
fprintf(outfile, " ");
for (i = (SM_INDEXPTRS_S(A))[j]; i < (SM_INDEXPTRS_S(A))[j + 1]; i++)
{
#if defined(SUNDIALS_EXTENDED_PRECISION)
fprintf(outfile, "%ld: %.32Lg ", (long int)(SM_INDEXVALS_S(A))[i],
(SM_DATA_S(A))[i]);
#elif defined(SUNDIALS_DOUBLE_PRECISION)
fprintf(outfile, "%ld: %.16g ", (long int)(SM_INDEXVALS_S(A))[i],
(SM_DATA_S(A))[i]);
#else
fprintf(outfile, "%ld: %.8g ", (long int)(SM_INDEXVALS_S(A))[i],
(SM_DATA_S(A))[i]);
#endif
}
fprintf(outfile, "\n");
}
fprintf(outfile, "\n");
return;
}
/* ----------------------------------------------------------------------------
* Functions to access the contents of the sparse matrix structure
*/
sunindextype SUNSparseMatrix_Rows(SUNMatrix A)
{
SUNFunctionBegin(A->sunctx);
SUNAssertNoRet(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
return SM_ROWS_S(A);
}
sunindextype SUNSparseMatrix_Columns(SUNMatrix A)
{
SUNFunctionBegin(A->sunctx);
SUNAssertNoRet(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
return SM_COLUMNS_S(A);
}
sunindextype SUNSparseMatrix_NNZ(SUNMatrix A)
{
SUNFunctionBegin(A->sunctx);
SUNAssertNoRet(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
return SM_NNZ_S(A);
}
sunindextype SUNSparseMatrix_NP(SUNMatrix A)
{
SUNFunctionBegin(A->sunctx);
SUNAssertNoRet(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
return SM_NP_S(A);
}
int SUNSparseMatrix_SparseType(SUNMatrix A)
{
SUNFunctionBegin(A->sunctx);
SUNAssertNoRet(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
return SM_SPARSETYPE_S(A);
}
sunrealtype* SUNSparseMatrix_Data(SUNMatrix A)
{
SUNFunctionBegin(A->sunctx);
SUNAssertNull(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
return SM_DATA_S(A);
}
sunindextype* SUNSparseMatrix_IndexValues(SUNMatrix A)
{
SUNFunctionBegin(A->sunctx);
SUNAssertNull(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
return SM_INDEXVALS_S(A);
}
sunindextype* SUNSparseMatrix_IndexPointers(SUNMatrix A)
{
SUNFunctionBegin(A->sunctx);
SUNAssertNull(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
return SM_INDEXPTRS_S(A);
}
/*
* -----------------------------------------------------------------
* implementation of matrix operations
* -----------------------------------------------------------------
*/
SUNMatrix_ID SUNMatGetID_Sparse(SUNDIALS_MAYBE_UNUSED SUNMatrix A)
{
return SUNMATRIX_SPARSE;
}
SUNMatrix SUNMatClone_Sparse(SUNMatrix A)
{
SUNFunctionBegin(A->sunctx);
SUNMatrix B = SUNSparseMatrix(SM_ROWS_S(A), SM_COLUMNS_S(A), SM_NNZ_S(A),
SM_SPARSETYPE_S(A), A->sunctx);
SUNCheckLastErrNull();
return (B);
}
void SUNMatDestroy_Sparse(SUNMatrix A)
{
if (A == NULL) { return; }
/* free content */
if (A->content != NULL)
{
/* free data array */
if (SM_DATA_S(A))
{
free(SM_DATA_S(A));
SM_DATA_S(A) = NULL;
}
/* free index values array */
if (SM_INDEXVALS_S(A))
{
free(SM_INDEXVALS_S(A));
SM_INDEXVALS_S(A) = NULL;
SM_CONTENT_S(A)->rowvals = NULL;
SM_CONTENT_S(A)->colvals = NULL;
}
/* free index pointers array */
if (SM_INDEXPTRS_S(A))
{
free(SM_INDEXPTRS_S(A));
SM_INDEXPTRS_S(A) = NULL;
SM_CONTENT_S(A)->colptrs = NULL;
SM_CONTENT_S(A)->rowptrs = NULL;
}
/* free content struct */
free(A->content);
A->content = NULL;
}
/* free ops and matrix */
if (A->ops)
{
free(A->ops);
A->ops = NULL;
}
free(A);
A = NULL;
return;
}
SUNErrCode SUNMatZero_Sparse(SUNMatrix A)
{
sunindextype i;
/* Perform operation */
for (i = 0; i < SM_NNZ_S(A); i++)
{
(SM_DATA_S(A))[i] = ZERO;
(SM_INDEXVALS_S(A))[i] = 0;
}
for (i = 0; i < SM_NP_S(A); i++) { (SM_INDEXPTRS_S(A))[i] = 0; }
(SM_INDEXPTRS_S(A))[SM_NP_S(A)] = 0;
return SUN_SUCCESS;
}
SUNErrCode SUNMatCopy_Sparse(SUNMatrix A, SUNMatrix B)
{
sunindextype i, A_nz;
SUNFunctionBegin(A->sunctx);
SUNAssert(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
SUNAssert(SUNMatGetID(B) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
SUNCheck(compatibleMatrices(A, B), SUN_ERR_ARG_DIMSMISMATCH);
/* Perform operation */
A_nz = (SM_INDEXPTRS_S(A))[SM_NP_S(A)];
/* ensure that B is allocated with at least as
much memory as we have nonzeros in A */
if (SM_NNZ_S(B) < A_nz)
{
SM_INDEXVALS_S(B) = (sunindextype*)realloc(SM_INDEXVALS_S(B),
A_nz * sizeof(sunindextype));
SUNAssert(SM_INDEXVALS_S(B), SUN_ERR_MALLOC_FAIL);
SM_DATA_S(B) = (sunrealtype*)realloc(SM_DATA_S(B),
A_nz * sizeof(sunrealtype));
SUNAssert(SM_DATA_S(B), SUN_ERR_MALLOC_FAIL);
SM_NNZ_S(B) = A_nz;
}
/* zero out B so that copy works correctly */
SUNCheckCall(SUNMatZero_Sparse(B));
/* copy the data and row indices over */
for (i = 0; i < A_nz; i++)
{
(SM_DATA_S(B))[i] = (SM_DATA_S(A))[i];
(SM_INDEXVALS_S(B))[i] = (SM_INDEXVALS_S(A))[i];
}
/* copy the column pointers over */
for (i = 0; i < SM_NP_S(A); i++)
{
(SM_INDEXPTRS_S(B))[i] = (SM_INDEXPTRS_S(A))[i];
}
(SM_INDEXPTRS_S(B))[SM_NP_S(A)] = A_nz;
return SUN_SUCCESS;
}
SUNErrCode SUNMatScaleAddI_Sparse(sunrealtype c, SUNMatrix A)
{
sunindextype j, i, p, nz, newvals, M, N, cend, nw;
sunbooleantype newmat, found;
sunindextype *w, *Ap, *Ai, *Cp, *Ci;
sunrealtype *x, *Ax, *Cx;
SUNMatrix C;
SUNFunctionBegin(A->sunctx);
/* store shortcuts to matrix dimensions (M is inner dimension, N is outer) */
if (SM_SPARSETYPE_S(A) == CSC_MAT)
{
M = SM_ROWS_S(A);
N = SM_COLUMNS_S(A);
}
else
{
M = SM_COLUMNS_S(A);
N = SM_ROWS_S(A);
}
/* access data arrays from A */
Ap = NULL;
Ai = NULL;
Ax = NULL;
Ap = SM_INDEXPTRS_S(A);
SUNAssert(Ap, SUN_ERR_ARG_CORRUPT);
Ai = SM_INDEXVALS_S(A);
SUNAssert(Ai, SUN_ERR_ARG_CORRUPT);
Ax = SM_DATA_S(A);
SUNAssert(Ax, SUN_ERR_ARG_CORRUPT);
/* determine if A: contains values on the diagonal (so I can just be added
in); if not, then increment counter for extra storage that should be
required. */
newvals = 0;
for (j = 0; j < SUNMIN(M, N); j++)
{
/* scan column (row if CSR) of A, searching for diagonal value */
found = SUNFALSE;
for (i = Ap[j]; i < Ap[j + 1]; i++)
{
if (Ai[i] == j)
{
found = SUNTRUE;
break;
}
}
/* if no diagonal found, increment necessary storage counter */
if (!found) { newvals += 1; }
}
/* If extra nonzeros required, check whether matrix has sufficient storage
space for new nonzero entries (so I can be inserted into existing storage)
*/
newmat = SUNFALSE; /* no reallocation needed */
if (newvals > (SM_NNZ_S(A) - Ap[N])) { newmat = SUNTRUE; }
/* perform operation based on existing/necessary structure */
/* case 1: A already contains a diagonal */
if (newvals == 0)
{
/* iterate through columns, adding 1.0 to diagonal */
for (j = 0; j < SUNMIN(M, N); j++)
{
for (i = Ap[j]; i < Ap[j + 1]; i++)
{
if (Ai[i] == j) { Ax[i] = ONE + c * Ax[i]; }
else { Ax[i] = c * Ax[i]; }
}
}
/* case 2: A has sufficient storage, but does not already contain a
* diagonal */
}
else if (!newmat)
{
/* create work arrays for nonzero row (column) indices and values in a
* single column (row) */
w = (sunindextype*)malloc(M * sizeof(sunindextype));
SUNAssert(w, SUN_ERR_MALLOC_FAIL);
x = (sunrealtype*)malloc(M * sizeof(sunrealtype));
SUNAssert(x, SUN_ERR_MALLOC_FAIL);
/* determine storage location where last column (row) should end */
nz = Ap[N] + newvals;
/* store pointer past last column (row) from original A,
and store updated value in revised A */
cend = Ap[N];
Ap[N] = nz;
/* iterate through columns (rows) backwards */
for (j = N - 1; j >= 0; j--)
{
/* reset diagonal entry, in case it's not in A */
x[j] = ZERO;
/* iterate down column (row) of A, collecting nonzeros */
for (p = Ap[j], i = 0; p < cend; p++, i++)
{
w[i] = Ai[p]; /* collect row (column) index */
x[Ai[p]] = c * Ax[p]; /* collect/scale value */
}
/* NNZ in this column (row) */
nw = cend - Ap[j];
/* add identity to this column (row) */
if (j < M) { x[j] += ONE; /* update value */ }
/* fill entries of A with this column's (row's) data */
/* fill entries past diagonal */
for (i = nw - 1; i >= 0 && w[i] > j; i--)
{
Ai[--nz] = w[i];
Ax[nz] = x[w[i]];
}
/* fill diagonal if applicable */
if (i < 0 /* empty or insert at front */ ||
w[i] != j /* insert behind front */)
{
Ai[--nz] = j;
Ax[nz] = x[j];
}
/* fill entries before diagonal */
for (; i >= 0; i--)
{
Ai[--nz] = w[i];
Ax[nz] = x[w[i]];
}
/* store ptr past this col (row) from orig A, update value for new A */
cend = Ap[j];
Ap[j] = nz;
}
/* clean up */
free(w);
free(x);
/* case 3: A must be reallocated with sufficient storage */
}
else
{
/* create work array for nonzero values in a single column (row) */
x = (sunrealtype*)malloc(M * sizeof(sunrealtype));
/* create new matrix for sum */
C = SUNSparseMatrix(SM_ROWS_S(A), SM_COLUMNS_S(A), Ap[N] + newvals,
SM_SPARSETYPE_S(A), A->sunctx);
SUNCheckLastErr();
/* access data from CSR structures (return if failure) */
Cp = NULL;
Ci = NULL;
Cx = NULL;
Cp = SM_INDEXPTRS_S(C);
SUNAssert(Cp, SUN_ERR_ARG_CORRUPT);
Ci = SM_INDEXVALS_S(C);
SUNAssert(Ci, SUN_ERR_ARG_CORRUPT);
Cx = SM_DATA_S(C);
SUNAssert(Cx, SUN_ERR_ARG_CORRUPT);
/* initialize total nonzero count */
nz = 0;
/* iterate through columns (rows for CSR) */
for (j = 0; j < N; j++)
{
/* set current column (row) pointer to current # nonzeros */
Cp[j] = nz;
/* reset diagonal entry, in case it's not in A */
x[j] = ZERO;
/* iterate down column (along row) of A, collecting nonzeros */
for (p = Ap[j]; p < Ap[j + 1]; p++)
{
x[Ai[p]] = c * Ax[p]; /* collect/scale value */
}
/* add identity to this column (row) */
if (j < M) { x[j] += ONE; /* update value */ }
/* fill entries of C with this column's (row's) data */
/* fill entries before diagonal */
for (p = Ap[j]; p < Ap[j + 1] && Ai[p] < j; p++)
{
Ci[nz] = Ai[p];
Cx[nz++] = x[Ai[p]];
}
/* fill diagonal if applicable */
if (p >= Ap[j + 1] /* empty or insert at end */ ||
Ai[p] != j /* insert before end */)
{
Ci[nz] = j;
Cx[nz++] = x[j];
}
/* fill entries past diagonal */
for (; p < Ap[j + 1]; p++)
{
Ci[nz] = Ai[p];
Cx[nz++] = x[Ai[p]];
}
}
/* indicate end of data */
Cp[N] = nz;
/* update A's structure with C's values; nullify C's pointers */
SM_NNZ_S(A) = SM_NNZ_S(C);
if (SM_DATA_S(A)) { free(SM_DATA_S(A)); }
SM_DATA_S(A) = SM_DATA_S(C);
SM_DATA_S(C) = NULL;
if (SM_INDEXVALS_S(A)) { free(SM_INDEXVALS_S(A)); }
SM_INDEXVALS_S(A) = SM_INDEXVALS_S(C);
SM_INDEXVALS_S(C) = NULL;
if (SM_INDEXPTRS_S(A)) { free(SM_INDEXPTRS_S(A)); }
SM_INDEXPTRS_S(A) = SM_INDEXPTRS_S(C);
SM_INDEXPTRS_S(C) = NULL;
/* clean up */
SUNMatDestroy_Sparse(C);
free(x);
}
return SUN_SUCCESS;
}
SUNErrCode SUNMatScaleAdd_Sparse(sunrealtype c, SUNMatrix A, SUNMatrix B)
{
sunindextype j, i, p, nz, newvals, M, N, cend;
sunbooleantype newmat;
sunindextype *w, *Ap, *Ai, *Bp, *Bi, *Cp, *Ci;
sunrealtype *x, *Ax, *Bx, *Cx;
SUNMatrix C;
SUNFunctionBegin(A->sunctx);
SUNAssert(SUNMatGetID(A) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
SUNAssert(SUNMatGetID(B) == SUNMATRIX_SPARSE, SUN_ERR_ARG_WRONGTYPE);
SUNCheck(compatibleMatrices(A, B), SUN_ERR_ARG_DIMSMISMATCH);
/* store shortcuts to matrix dimensions (M is inner dimension, N is outer) */
if (SM_SPARSETYPE_S(A) == CSC_MAT)
{
M = SM_ROWS_S(A);
N = SM_COLUMNS_S(A);
}
else
{
M = SM_COLUMNS_S(A);
N = SM_ROWS_S(A);
}
/* access data arrays from A and B (return if failure) */
Ap = Ai = Bp = Bi = NULL;
Ax = Bx = NULL;
Ap = SM_INDEXPTRS_S(A);
SUNAssert(Ap, SUN_ERR_ARG_CORRUPT);
Ai = SM_INDEXVALS_S(A);
SUNAssert(Ai, SUN_ERR_ARG_CORRUPT);
Ax = SM_DATA_S(A);
SUNAssert(Ax, SUN_ERR_ARG_CORRUPT);
Bp = SM_INDEXPTRS_S(B);
SUNAssert(Bp, SUN_ERR_ARG_CORRUPT);
Bi = SM_INDEXVALS_S(B);
SUNAssert(Bi, SUN_ERR_ARG_CORRUPT);
Bx = SM_DATA_S(B);
SUNAssert(Bx, SUN_ERR_ARG_CORRUPT);
/* create work arrays for row indices and nonzero column values */
w = (sunindextype*)malloc(M * sizeof(sunindextype));
SUNAssert(w, SUN_ERR_MALLOC_FAIL);
x = (sunrealtype*)malloc(M * sizeof(sunrealtype));
SUNAssert(x, SUN_ERR_MALLOC_FAIL);
/* determine if A already contains the sparsity pattern of B */
newvals = 0;
for (j = 0; j < N; j++)
{
/* clear work array */
for (i = 0; i < M; i++) { w[i] = 0; }
/* scan column of A, incrementing w by one */
for (i = Ap[j]; i < Ap[j + 1]; i++) { w[Ai[i]] += 1; }
/* scan column of B, decrementing w by one */
for (i = Bp[j]; i < Bp[j + 1]; i++) { w[Bi[i]] -= 1; }
/* if any entry of w is negative, A doesn't contain B's sparsity,
so increment necessary storage counter */
for (i = 0; i < M; i++)
{
if (w[i] < 0) { newvals += 1; }
}
}
/* If extra nonzeros required, check whether A has sufficient storage space
for new nonzero entries (so B can be inserted into existing storage) */
newmat = SUNFALSE; /* no reallocation needed */
if (newvals > (SM_NNZ_S(A) - Ap[N])) { newmat = SUNTRUE; }
/* perform operation based on existing/necessary structure */
/* case 1: A already contains sparsity pattern of B */
if (newvals == 0)
{
/* iterate through columns, adding matrices */
for (j = 0; j < N; j++)
{
/* clear work array */
for (i = 0; i < M; i++) { x[i] = ZERO; }
/* scan column of B, updating work array */
for (i = Bp[j]; i < Bp[j + 1]; i++) { x[Bi[i]] = Bx[i]; }
/* scan column of A, updating array entries appropriately */
for (i = Ap[j]; i < Ap[j + 1]; i++) { Ax[i] = c * Ax[i] + x[Ai[i]]; }
}
/* case 2: A has sufficient storage, but does not already contain B's
* sparsity */
}
else if (!newmat)
{
/* determine storage location where last column (row) should end */
nz = Ap[N] + newvals;
/* store pointer past last column (row) from original A,
and store updated value in revised A */
cend = Ap[N];
Ap[N] = nz;
/* iterate through columns (rows) backwards */
for (j = N - 1; j >= 0; j--)
{
/* clear out temporary arrays for this column (row) */
for (i = 0; i < M; i++)
{
w[i] = 0;
x[i] = SUN_RCONST(0.0);
}
/* iterate down column (row) of A, collecting nonzeros */
for (p = Ap[j]; p < cend; p++)
{
w[Ai[p]] += 1; /* indicate that row (column) is filled */
x[Ai[p]] = c * Ax[p]; /* collect/scale value */
}
/* iterate down column of B, collecting nonzeros */
for (p = Bp[j]; p < Bp[j + 1]; p++)
{
w[Bi[p]] += 1; /* indicate that row is filled */
x[Bi[p]] += Bx[p]; /* collect value */
}
/* fill entries of A with this column's (row's) data */
for (i = M - 1; i >= 0; i--)
{
if (w[i] > 0)
{
Ai[--nz] = i;
Ax[nz] = x[i];
}
}
/* store ptr past this col (row) from orig A, update value for new A */
cend = Ap[j];
Ap[j] = nz;
}
/* case 3: A must be reallocated with sufficient storage */