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internal::Colamd

Classes

Name
struct internal::Colamd::ColStructure
struct internal::Colamd::RowStructure

Types

Name
enum KnobsStatsIndex
enum Status
enum RowColumnStatus
enum ColumnStatus

Functions

Name
template <typename IndexType >
IndexType
ones_complement(const IndexType r)
template <typename IndexType >
IndexType
colamd_c(IndexType n_col)
template <typename IndexType >
IndexType
colamd_r(IndexType n_row)
template <typename IndexType >
IndexType
init_rows_cols(IndexType n_row, IndexType n_col, RowStructure< IndexType > Row[], ColStructure< IndexType > col[], IndexType A[], IndexType p[], IndexType stats[NStats])
template <typename IndexType >
void
init_scoring(IndexType n_row, IndexType n_col, RowStructure< IndexType > Row[], ColStructure< IndexType > Col[], IndexType A[], IndexType head[], double knobs[NKnobs], IndexType * p_n_row2, IndexType * p_n_col2, IndexType * p_max_deg)
template <typename IndexType >
IndexType
find_ordering(IndexType n_row, IndexType n_col, IndexType Alen, RowStructure< IndexType > Row[], ColStructure< IndexType > Col[], IndexType A[], IndexType head[], IndexType n_col2, IndexType max_deg, IndexType pfree)
template <typename IndexType >
void
order_children(IndexType n_col, ColStructure< IndexType > Col[], IndexType p[])
template <typename IndexType >
void
detect_super_cols(ColStructure< IndexType > Col[], IndexType A[], IndexType head[], IndexType row_start, IndexType row_length)
template <typename IndexType >
IndexType
garbage_collection(IndexType n_row, IndexType n_col, RowStructure< IndexType > Row[], ColStructure< IndexType > Col[], IndexType A[], IndexType * pfree)
template <typename IndexType >
IndexType
clear_mark(IndexType n_row, RowStructure< IndexType > Row[])
template <typename IndexType >
IndexType
recommended(IndexType nnz, IndexType n_row, IndexType n_col)
Returns the recommended value of Alen.
void set_defaults(double knobs[NKnobs])
set default parameters The use of this routine is optional.
template <typename IndexType >
bool
compute_ordering(IndexType n_row, IndexType n_col, IndexType Alen, IndexType * A, IndexType * p, double knobs[NKnobs], IndexType stats[NStats])
Computes a column ordering using the column approximate minimum degree ordering.

Attributes

Name
const int NKnobs
const int NStats
const int Empty

Types Documentation

enum KnobsStatsIndex

Enumerator Value Description
DenseRow 0
DenseCol 1
DefragCount 2
Status 3
Info1 4
Info2 5
Info3 6

enum Status

Enumerator Value Description
Ok 0
OkButJumbled 1
ErrorANotPresent -1
ErrorPNotPresent -2
ErrorNrowNegative -3
ErrorNcolNegative -4
ErrorNnzNegative -5
ErrorP0Nonzero -6
ErrorATooSmall -7
ErrorColLengthNegative -8
ErrorRowIndexOutOfBounds -9
ErrorOutOfMemory -10
ErrorInternalError -999

enum RowColumnStatus

Enumerator Value Description
Alive 0
Dead -1

enum ColumnStatus

Enumerator Value Description
DeadPrincipal -1
DeadNonPrincipal -2

Functions Documentation

function ones_complement

template <typename IndexType >
IndexType ones_complement(
    const IndexType r
)

function colamd_c

template <typename IndexType >
inline IndexType colamd_c(
    IndexType n_col
)

function colamd_r

template <typename IndexType >
inline IndexType colamd_r(
    IndexType n_row
)

function init_rows_cols

template <typename IndexType >
static IndexType init_rows_cols(
    IndexType n_row,
    IndexType n_col,
    RowStructure< IndexType > Row[],
    ColStructure< IndexType > col[],
    IndexType A[],
    IndexType p[],
    IndexType stats[NStats]
)

function init_scoring

template <typename IndexType >
static void init_scoring(
    IndexType n_row,
    IndexType n_col,
    RowStructure< IndexType > Row[],
    ColStructure< IndexType > Col[],
    IndexType A[],
    IndexType head[],
    double knobs[NKnobs],
    IndexType * p_n_row2,
    IndexType * p_n_col2,
    IndexType * p_max_deg
)

function find_ordering

template <typename IndexType >
static IndexType find_ordering(
    IndexType n_row,
    IndexType n_col,
    IndexType Alen,
    RowStructure< IndexType > Row[],
    ColStructure< IndexType > Col[],
    IndexType A[],
    IndexType head[],
    IndexType n_col2,
    IndexType max_deg,
    IndexType pfree
)

function order_children

template <typename IndexType >
static inline void order_children(
    IndexType n_col,
    ColStructure< IndexType > Col[],
    IndexType p[]
)

function detect_super_cols

template <typename IndexType >
static void detect_super_cols(
    ColStructure< IndexType > Col[],
    IndexType A[],
    IndexType head[],
    IndexType row_start,
    IndexType row_length
)

function garbage_collection

template <typename IndexType >
static IndexType garbage_collection(
    IndexType n_row,
    IndexType n_col,
    RowStructure< IndexType > Row[],
    ColStructure< IndexType > Col[],
    IndexType A[],
    IndexType * pfree
)

function clear_mark

template <typename IndexType >
static inline IndexType clear_mark(
    IndexType n_row,
    RowStructure< IndexType > Row[]
)
template <typename IndexType >
inline IndexType recommended(
    IndexType nnz,
    IndexType n_row,
    IndexType n_col
)

Returns the recommended value of Alen.

Parameters:

  • nnz nonzeros in A
  • n_row number of rows in A
  • n_col number of columns in A

Return: recommended value of Alen for use by colamd

Returns recommended value of Alen for use by colamd. Returns -1 if any input argument is negative. The use of this routine or macro is optional. Note that the macro uses its arguments more than once, so be careful for side effects, if you pass expressions as arguments to COLAMD_RECOMMENDED.

function set_defaults

static inline void set_defaults(
    double knobs[NKnobs]
)

set default parameters The use of this routine is optional.

Parameters:

  • knobs parameter settings for colamd

Colamd: rows with more than (knobs [DenseRow] * n_col) entries are removed prior to ordering. Columns with more than (knobs [DenseCol] * n_row) entries are removed prior to ordering, and placed last in the output column ordering.

DenseRow and DenseCol are defined as 0 and 1, respectively, in colamd.h. Default values of these two knobs are both 0.5. Currently, only knobs [0] and knobs [1] are used, but future versions may use more knobs. If so, they will be properly set to their defaults by the future version of colamd_set_defaults, so that the code that calls colamd will not need to change, assuming that you either use colamd_set_defaults, or pass a (double *) NULL pointer as the knobs array to colamd or symamd.

function compute_ordering

template <typename IndexType >
static bool compute_ordering(
    IndexType n_row,
    IndexType n_col,
    IndexType Alen,
    IndexType * A,
    IndexType * p,
    double knobs[NKnobs],
    IndexType stats[NStats]
)

Computes a column ordering using the column approximate minimum degree ordering.

Parameters:

  • n_row number of rows in A
  • n_col number of columns in A
  • Alensize of the array A
  • A row indices of the matrix, of size ALen
  • p column pointers of A, of size n_col+1
  • knobs parameter settings for colamd
  • stats colamd output statistics and error codes

Computes a column ordering (Q) of A such that P(AQ)=LU or (AQ)'AQ=LL' have less fill-in and require fewer floating point operations than factorizing the unpermuted matrix A or A'A, respectively.

Attributes Documentation

variable NKnobs

const int NKnobs = 20;

variable NStats

const int NStats = 20;

variable Empty

const int Empty = -1;

Updated on 2023-11-29 at 18:22:17 +0000