Document sparse matrix interface.

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Bård Skaflestad 2012-06-22 02:03:41 +02:00
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commit 3659ca2d68

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@ -20,6 +20,11 @@
#ifndef OPM_SPARSE_SYS_HEADER_INCLUDED
#define OPM_SPARSE_SYS_HEADER_INCLUDED
/**
* \file
* Data structure and operations to manage sparse matrices in CSR formats.
*/
#include <stddef.h>
#include <stdio.h>
@ -27,56 +32,214 @@
extern "C" {
#endif
/**
* Basic compressed-sparse row (CSR) matrix data structure.
*/
struct CSRMatrix
{
size_t m;
size_t nnz;
size_t m; /** Number of rows */
size_t nnz; /** Number of structurally non-zero elements */
int *ia;
int *ja;
int *ia; /** Row pointers */
int *ja; /** Column indices */
double *sa;
double *sa; /** Matrix elements */
};
/**
* Allocate a matrix structure and corresponding row pointers,
* @c ia, sufficiently initialised to support "count and push-back"
* construction scheme.
*
* The matrix will be fully formed in csrmatrix_new_elms_pushback().
*
* \param[in] m Number of matrix rows.
*
* \return Allocated matrix structure with allocated row pointers and
* valid @c m field. The row pointer elements are initialised all zero
* to simplify the non-zero element counting procedure. The @c ja and
* @c sa fields are NULL. This function returns NULL in case of
* allocation failure.
*/
struct CSRMatrix *
csrmatrix_new_count_nnz(size_t m);
/**
* Allocate a matrix structure and all constituent fields to hold a
* sparse matrix with a specified number of (structural) non-zero
* elements.
*
* The contents of the individual matrix arrays is undefined. In particular,
* the sparsity pattern must be constructed through some other, external,
* means prior to using the matrix in (e.g.,) a global system assembly
* process.
*
* The memory resources should be released through the csrmatrix_delete()
* function.
*
* \param[in] m Number of matrix rows.
* \param[in] nnz Number of structural non-zeros.
*
* \return Allocated matrix structure and constituent element arrays.
* NULL in case of allocation failure.
*/
struct CSRMatrix *
csrmatrix_new_known_nnz(size_t m, size_t nnz);
/**
* Set row pointers and allocate column index and matrix element arrays of
* a matrix previous obtained from csrmatrix_new_count_nnz().
*
* The memory resources should be released through the csrmatrix_delete()
* function.
*
* This function assumes that, on input, the total number of structurally
* non-zero elements of row @c i are stored in @c A->ia[i+1] for all
* <CODE>i = 0, ..., A->m - 1</CODE> and that <CODE>A->ia[0] == 0</CODE>.
* If successful, then on output the row pointers are valid. If not, then
* the @c A->ja and @c A->sa arrays remain unallocated.
*
* Following a successful call to csmatrix_new_elms_pushback(), the entire
* matrix structure (sparsity pattern) is structurally consistent, but the
* contents of the @c ja and @c sa arrays is undefined and must be set prior
* to using the matrix in, e.g., a pressure system solve.
*
* \param[in,out] A Matrix.
*
* \return Total number of allocated non-zeros, <CODE>A->nnz ==
* A->ia[A->m]</CODE> if successful and zero in case of allocation failure.
*/
size_t
csrmatrix_new_elms_pushback(struct CSRMatrix *A);
/**
* Compute non-zero index of specified matrix element.
*
* \param[in] i Row index.
* \param[in] j Column index. Must be in the structural non-zero
* element set of row @c i.
* \param[in] A Matrix.
*
* \return Non-zero index, into @c A->ja and @c A->sa, of the @c (i,j)
* matrix element.
*/
size_t
csrmatrix_elm_index(int i, int j, const struct CSRMatrix *A);
/**
* Sort column indices within each matrix row in ascending order.
*
* The corresponding matrix elements (i.e., @c sa) are not referenced.
* Consequently, following a call to csrmatrix_sortrows(), all relations
* to any pre-existing matrix elements are lost and must be rebuilt.
*
* After a call to csrmatrix_sortrows(), the following relation holds
* <CODE>A->ja[k] < A->ja[k+1]</CODE> for all <CODE>k = A->ia[i], ...,
* A->ia[i+1]-2</CODE> in each row <CODE>i = 0, ..., A->m - 1</CODE>.
*
* \param[in,out] A Matrix.
*/
void
csrmatrix_sortrows(struct CSRMatrix *A);
/**
* Dispose of memory resources obtained through prior calls to
* allocation routines.
*
* \param[in] A Matrix obtained from csrmatrix_new_count_nnz() +
* csrmatrix_new_elms_pushback() or
* csrmatrix_new_known_nnz().
*
* The pointer @c A is invalid following a call to csrmatrix_delete().
*/
void
csrmatrix_delete(struct CSRMatrix *A);
/**
* Zero all matrix elements, typically in preparation of
* elemental assembly.
*
* \param[in,out] A Matrix for which to zero the elements.
*/
void
csrmatrix_zero(struct CSRMatrix *A);
/* ---------------------------------------------------------------------- */
/* v = zeros([n, 1]) */
/* ---------------------------------------------------------------------- */
/**
* Zero all vector elements.
*
* \param[in] n Number of vector elements.
* \param[out] v Vector for which to zero the elements.
*/
void
vector_zero(size_t n, double *v);
/**
* Print matrix to file.
*
* The matrix content is printed in coordinate format with row and
* column indices ranging from @c 1 to @c A->m. This output format
* facilitates simple processing through the @c spconvert function in
* MATLAB© or Octave.
*
* This function is implemented in terms of csrmatrix_write_stream().
*
* \param[in] A Matrix.
* \param[in] fn Name of file to which matrix contents will be output.
*/
void
csrmatrix_write(const struct CSRMatrix *A, const char *fn);
/**
* Print matrix to stream.
*
* The matrix content is printed in coordinate format with row and
* column indices ranging from @c 1 to @c A->m. This output format
* facilitates simple processing through the @c spconvert function in
* MATLAB© or Octave.
*
* \param[in] A Matrix.
* \param[in] fp Open (text) stream to which matrix contents will be output.
*/
void
csrmatrix_write_stream(const struct CSRMatrix *A, FILE *fp);
/**
* Print vector to file.
*
* Elements are printed with one line (separated by '\n')
* per vector element.
*
* This function is implemented in terms of vector_write_stream().
*
* \param[in] n Number of vector elements.
* \param[in] v Vector.
* \param[in] fn Name of file to which vector contents will be output.
*/
void
vector_write(size_t n, const double *v, const char *fn);
/**
* Print vector to stream.
*
* Elements are printed with one line (separated by '\n')
* per vector element.
*
* \param[in] n Number of vector elements.
* \param[in] v Vector.
* \param[in] fp Open (text) stream to which vector contents will be output.
*/
void
vector_write_stream(size_t n, const double *v, FILE *fp);