void ATL_crefsyrk
(
const enum ATLAS_UPLO UPLO,
const enum ATLAS_TRANS TRANS,
const int N,
const int K,
const float * ALPHA,
const float * A,
const int LDA,
const float * BETA,
float * C,
const int LDC
)
{
/*
* Purpose
* =======
*
* ATL_crefsyrk performs one of the symmetric rank k operations
*
* C := alpha * A * A' + beta * C,
*
* or
*
* C := alpha * A' * A + beta * C,
*
* where alpha and beta are scalars, C is an n by n symmetric matrix and
* A is an n by k matrix in the first case and a k by n matrix in the
* second case.
*
* Arguments
* =========
*
* UPLO (input) const enum ATLAS_UPLO
* On entry, UPLO specifies whether the upper or lower triangu-
* lar part of the array C is to be referenced as follows:
*
* UPLO = AtlasUpper Only the upper triangular part of C
* is to be referenced.
*
* UPLO = AtlasLower Only the lower triangular part of C
* is to be referenced.
*
* Unchanged on exit.
*
* TRANS (input) const enum ATLAS_TRANS
* On entry, TRANS specifies the operation to be performed as
* follows:
*
* TRANS = AtlasNoTrans C := alpha * A * A' + beta * C,
*
* TRANS = AtlasTrans C := alpha * A' * A + beta * C.
*
* Unchanged on exit.
*
* N (input) const int
* On entry, N specifies the order of the matrix C. N must be at
* least zero. Unchanged on exit.
*
* K (input) const int
* On entry, with TRANS = AtlasNoTrans, K specifies the number
* of columns of the matrix A, and otherwise, K specifies the
* number of rows of the matrix A. K must be at least zero. Un-
* changed on exit.
*
* ALPHA (input) const float *
* On entry, ALPHA specifies the scalar alpha. When ALPHA is
* supplied as zero then the entries of the matrix A need not
* be set on input. Unchanged on exit.
*
* A (input) const float *
* On entry, A points to an array of size equal to or greater
* than LDA * ka * sizeof( float [2] ), where ka is k when
* TRANS = AtlasNoTrans, and is n otherwise. Before entry with
* TRANS = AtlasNoTrans, the leading n by k part of the array A
* must contain the matrix A, otherwise the leading k by n part
* of the array A must contain the matrix A. Unchanged on exit.
*
* LDA (input) const int
* On entry, LDA specifies the leading dimension of A as decla-
* red in the calling (sub) program. LDA must be at least
* MAX( 1, n ) when TRANS = AtlasNoTrans, and MAX( 1, k ) other-
* wise. Unchanged on exit.
*
* BETA (input) const float *
* On entry, BETA specifies the scalar beta. When BETA is
* supplied as zero then the entries of the matrix C need not
* be set on input. Unchanged on exit.
*
* C (input/output) float *
* On entry, C points to an array of size equal to or greater
* than LDC * n * sizeof( float [2] ), Before entry with
* UPLO = AtlasUpper, the leading n by n upper triangular part
* of the array C must contain the upper triangular part of the
* symmetric matrix and the strictly lower triangular part of C
* is not referenced. On exit, the upper triangular part of the
* array C is overwritten by the upper triangular part of the
* updated matrix. Before entry with UPLO = AtlasLower, the
* leading n by n lower triangular part of the array C must con-
* tain the lower triangular part of the symmetric matrix and
* the strictly upper triangular part of C is not referenced. On
* exit, the lower triangular part of the array C is overwritten
* by the lower triangular part of the updated matrix.
*
* LDC (input) const int
* On entry, LDC specifies the leading dimension of A as decla-
* red in the calling (sub) program. LDC must be at least
* MAX( 1, n ). Unchanged on exit.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Variables ..
*/
int i, icij, j, jcj, ldc2 = ( LDC << 1 ),
ldcp12 = ( ( LDC + 1 ) << 1 );
/* ..
* .. Executable Statements ..
*
*/
if( ( N == 0 ) ||
( ( Mszero( ALPHA[0], ALPHA[1] ) || ( K == 0 ) ) &&
Msone( BETA[0], BETA[1] ) ) ) return;
if( Mszero( ALPHA[0], ALPHA[1] ) )
{
if( UPLO == AtlasUpper )
{
if( Mszero( BETA[0], BETA[1] ) )
{
for( j = 0, jcj = 0; j < N; j++, jcj += ldc2 )
{
for( i = 0, icij = jcj; i <= j; i++, icij += 2 )
{ Mset( ATL_sZERO, ATL_sZERO, C[icij], C[icij+1] ); }
}
}
else if( !Msone( BETA[0], BETA[1] ) )
{
for( j = 0, jcj = 0; j < N; j++, jcj += ldc2 )
{
for( i = 0, icij = jcj; i <= j; i++, icij += 2 )
{ Msscl( BETA[0], BETA[1], C[icij], C[icij+1] ); }
}
}
}
else
{
if( Mszero( BETA[0], BETA[1] ) )
{
for( j = 0, jcj = 0; j < N; j++, jcj += ldcp12 )
{
for( i = j, icij = jcj; i < N; i++, icij += 2 )
{ Mset( ATL_sZERO, ATL_sZERO, C[icij], C[icij+1] ); }
}
}
else if( !Msone( BETA[0], BETA[1] ) )
{
for( j = 0, jcj = 0; j < N; j++, jcj += ldcp12 )
{
for( i = j, icij = jcj; i < N; i++, icij += 2 )
{ Msscl( BETA[0], BETA[1], C[icij], C[icij+1] ); }
}
}
}
return;
}
if( UPLO == AtlasUpper )
{
if( TRANS == AtlasNoTrans )
{ ATL_crefsyrkUN( N, K, ALPHA, A, LDA, BETA, C, LDC ); }
else
{ ATL_crefsyrkUT( N, K, ALPHA, A, LDA, BETA, C, LDC ); }
}
else
{
if( TRANS == AtlasNoTrans )
{ ATL_crefsyrkLN( N, K, ALPHA, A, LDA, BETA, C, LDC ); }
else
{ ATL_crefsyrkLT( N, K, ALPHA, A, LDA, BETA, C, LDC ); }
}
/*
* End of ATL_crefsyrk
*/
}
void ATL_crefhbmv
(
const enum ATLAS_UPLO UPLO,
const int N,
const int K,
const float * ALPHA,
const float * A,
const int LDA,
const float * X,
const int INCX,
const float * BETA,
float * Y,
const int INCY
)
{
/*
* Purpose
* =======
*
* ATL_crefhbmv performs the matrix-vector operation
*
* y := alpha * A * x + beta * y,
*
* where alpha and beta are scalars, x and y are n-element vectors and A
* is an n by n Hermitian band matrix, with k super-diagonals.
*
* Arguments
* =========
*
* UPLO (input) const enum ATLAS_UPLO
* On entry, UPLO specifies whether the upper or lower triangu-
* lar part of the band matrix A is being supplied as follows:
*
* UPLO = AtlasUpper The upper triangular part of A is
* being supplied.
*
* UPLO = AtlasLower The lower triangular part of A is
* being supplied.
*
* Unchanged on exit.
*
* N (input) const int
* On entry, N specifies the order of the matrix A. N must be at
* least zero. Unchanged on exit.
*
* K (input) const int
* On entry, K specifies the number of super-diagonals of the
* matrix A. K must satisfy 0 <= K. Unchanged on exit.
*
* ALPHA (input) const float *
* On entry, ALPHA specifies the scalar alpha. When ALPHA is
* supplied as zero then A and X need not be set on input. Un-
* changed on exit.
*
* A (input) const float *
* On entry, A points to an array of size equal to or greater
* than LDA * n * sizeof( float [2] ). Before entry with
* UPLO = AtlasUpper, the leading ( k + 1 ) by n part of the ar-
* ray A must contain the upper triangular band part of the
* Hermitian matrix, supplied column by column, with the leading
* diagonal of the matrix in row k of the array, the first su-
* per-diagonal starting at position 1 in row k-1, and so on.
* The top left k by k triangle of the array A is not referen-
* ced. Unchanged on exit.
* The following program segment will transfer the upper trian-
* gular part of a Hermitian band matrix from conventional full
* matrix storage to band storage:
*
* for( j = 0; j < n; j++ )
* {
* m = k - j;
* for( i = ( m < 0 ? -m : 0 ); i < j; i++ )
* {
* a[((m+i+j*LDA)<<1)+0] = real( matrix( i, j ) );
* a[((m+i+j*LDA)<<1)+1] = imag( matrix( i, j ) );
* }
* }
*
* Before entry with UPLO = AtlasLower, the leading ( k + 1 ) by
* n part of the array A must contain the lower triangular band
* part of the Hermitian matrix, supplied column by column, with
* the leading diagonal of the matrix in row 0 of the array, the
* first sub-diagonal starting at position 0 in row 1, and so
* on. The bottom right k by k triangle of the array A is not
* referenced. Unchanged on exit.
* The following program segment will transfer the lower trian-
* gular part of a Hermitian band matrix from conventional full
* matrix storage to band storage:
*
* for( j = 0; j < n; j++ )
* {
* i1 = ( n > j + k + 1 ? j + k + 1 : n );
* for( i = j; i < i1; i++ )
* {
* a[((i-j+j*LDA)<<1)+0] = real( matrix( i, j ) );
* a[((i-j+j*LDA)<<1)+1] = imag( matrix( i, j ) );
* }
* }
*
* Note that the imaginary parts of the local entries corres-
* ponding to the diagonal elements of A need not be set and as-
* sumed to be zero. Unchanged on exit.
*
* LDA (input) const int
* On entry, LDA specifies the leading dimension of A as decla-
* red in the calling (sub) program. LDA must be at least
* k + 1. Unchanged on exit.
*
* X (input) const float *
* On entry, X points to the first entry to be accessed of an
* incremented array of size equal to or greater than
* ( 1 + ( n - 1 ) * abs( INCX ) ) * sizeof( float [2] ),
* that contains the vector x. Unchanged on exit.
*
* INCX (input) const int
* On entry, INCX specifies the increment for the elements of X.
* INCX must not be zero. Unchanged on exit.
*
* BETA (input) const float *
* On entry, BETA specifies the scalar beta. When BETA is
* supplied as zero then Y need not be set on input. Unchanged
* on exit.
*
* Y (input/output) float *
* On entry, Y points to the first entry to be accessed of an
* incremented array of size equal to or greater than
* ( 1 + ( n - 1 ) * abs( INCY ) ) * sizeof( float [2] ),
* that contains the vector y. Before entry with BETA non-zero,
* the incremented array Y must contain the vector y. On exit,
* Y is overwritten by the updated vector y.
*
* INCY (input) const int
* On entry, INCY specifies the increment for the elements of Y.
* INCY must not be zero. Unchanged on exit.
*
* ---------------------------------------------------------------------
*/
/* ..
* .. Executable Statements ..
*
*/
if( ( N == 0 ) ||
( Mszero( ALPHA[0], ALPHA[1] ) && Msone( BETA[0], BETA[1] ) ) ) return;
if( Mszero( ALPHA[0], ALPHA[1] ) )
{ Mcvscal( N, BETA, Y, INCY ); return; }
if( UPLO == AtlasUpper )
{
ATL_crefhbmvU( N, K, ALPHA, A, LDA, X, INCX, BETA, Y, INCY );
}
else
{
ATL_crefhbmvL( N, K, ALPHA, A, LDA, X, INCX, BETA, Y, INCY );
}
/*
* End of ATL_crefhbmv
*/
}
void ATL_crefhemv
(
const enum ATLAS_UPLO UPLO,
const int N,
const float * ALPHA,
const float * A,
const int LDA,
const float * X,
const int INCX,
const float * BETA,
float * Y,
const int INCY
)
{
/*
* Purpose
* =======
*
* ATL_crefhemv performs the matrix-vector operation
*
* y := alpha * A * x + beta * y,
*
* where alpha and beta are scalars, x and y are n-element vectors and A
* is an n by n Hermitian matrix.
*
* Arguments
* =========
*
* UPLO (input) const enum ATLAS_UPLO
* On entry, UPLO specifies whether the upper or lower triangu-
* lar part of the array A is to be referenced as follows:
*
* UPLO = AtlasUpper Only the upper triangular part of A
* is to be referenced.
*
* UPLO = AtlasLower Only the lower triangular part of A
* is to be referenced.
*
* Unchanged on exit.
*
* N (input) const int
* On entry, N specifies the order of the matrix A. N must be at
* least zero. Unchanged on exit.
*
* ALPHA (input) const float *
* On entry, ALPHA specifies the scalar alpha. When ALPHA is
* supplied as zero then A and X need not be set on input. Un-
* changed on exit.
*
* A (input) const float *
* On entry, A points to an array of size equal to or greater
* than LDA * n * sizeof( float [2] ). Before entry with
* UPLO = AtlasUpper, the leading n by n upper triangular part
* of the array A must contain the upper triangular part of the
* Hermitian matrix and the strictly lower triangular part of
* A is not referenced. Before entry with UPLO = AtlasLower, the
* leading n by n lower triangular part of the array A must
* contain the lower triangular part of the Hermitian matrix and
* the strictly upper triangular part of A is not referenced.
* Unchanged on exit.
* Note that the imaginary parts of the local entries corres-
* ponding to the diagonal elements of A need not be set and as-
* sumed to be zero.
*
* LDA (input) const int
* On entry, LDA specifies the leading dimension of A as decla-
* red in the calling (sub) program. LDA must be at least
* MAX( 1, n ). Unchanged on exit.
*
* X (input) const float *
* On entry, X points to the first entry to be accessed of an
* incremented array of size equal to or greater than
* ( 1 + ( n - 1 ) * abs( INCX ) ) * sizeof( float [2] ),
* that contains the vector x. Unchanged on exit.
*
* INCX (input) const int
* On entry, INCX specifies the increment for the elements of X.
* INCX must not be zero. Unchanged on exit.
*
* BETA (input) const float *
* On entry, BETA specifies the scalar beta. When BETA is
* supplied as zero then Y need not be set on input. Unchanged
* on exit.
*
* Y (input/output) float *
* On entry, Y points to the first entry to be accessed of an
* incremented array of size equal to or greater than
* ( 1 + ( n - 1 ) * abs( INCY ) ) * sizeof( float [2] ),
* that contains the vector y. Before entry with BETA non-zero,
* the incremented array Y must contain the vector y. On exit,
* Y is overwritten by the updated vector y.
*
* INCY (input) const int
* On entry, INCY specifies the increment for the elements of Y.
* INCY must not be zero. Unchanged on exit.
*
* ---------------------------------------------------------------------
*/
/* ..
* .. Executable Statements ..
*
*/
if( ( N == 0 ) ||
( Mszero( ALPHA[0], ALPHA[1] ) && Msone( BETA[0], BETA[1] ) ) ) return;
if( Mszero( ALPHA[0], ALPHA[1] ) )
{ Mcvscal( N, BETA, Y, INCY ); return; }
if( UPLO == AtlasUpper )
{
ATL_crefhemvU( N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY );
}
else
{
ATL_crefhemvL( N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY );
}
/*
* End of ATL_crefhemv
*/
}
void ATL_crefsymm
(
const enum ATLAS_SIDE SIDE,
const enum ATLAS_UPLO UPLO,
const int M,
const int N,
const float * ALPHA,
const float * A,
const int LDA,
const float * B,
const int LDB,
const float * BETA,
float * C,
const int LDC
)
{
/*
* Purpose
* =======
*
* ATL_crefsymm performs one of the matrix-matrix operations
*
* C := alpha * A * B + beta * C,
*
* or
*
* C := alpha * B * A + beta * C,
*
* where alpha and beta are scalars, A is a symmetric matrix and B and
* C are m by n matrices.
*
* Arguments
* =========
*
* SIDE (input) const enum ATLAS_SIDE
* On entry, SIDE specifies whether the symmetric matrix A
* appears on the left or right in the operation as follows:
*
* SIDE = AtlasLeft C := alpha * A * B + beta * C,
*
* SIDE = AtlasRight C := alpha * B * A + beta * C.
*
* Unchanged on exit.
*
* UPLO (input) const enum ATLAS_UPLO
* On entry, UPLO specifies whether the upper or lower triangu-
* lar part of the array A is to be referenced as follows:
*
* UPLO = AtlasUpper Only the upper triangular part of A
* is to be referenced.
*
* UPLO = AtlasLower Only the lower triangular part of A
* is to be referenced.
*
* Unchanged on exit.
*
* M (input) const int
* On entry, M specifies the number of rows of the matrix C.
* M must be at least zero. Unchanged on exit.
*
* N (input) const int
* On entry, N specifies the number of columns of the matrix C.
* N must be at least zero. Unchanged on exit.
*
* ALPHA (input) const float *
* On entry, ALPHA specifies the scalar alpha. When ALPHA is
* supplied as zero then the elements of the matrices A and B
* need not be set on input.
*
* A (input) const float *
* On entry, A points to an array of size equal to or greater
* than LDA * ka * sizeof( float [2] ), where ka is m when
* SIDE = AtlasLeft and is n otherwise. Before entry with
* SIDE = AtlasLeft, the m by m part of the array A must con-
* tain the symmetric matrix, such that when UPLO = AtlasUpper,
* the leading m by m upper triangular part of the array A must
* contain the upper triangular part of the symmetric matrix and
* the strictly lower triangular part of A is not referenced,
* and when UPLO = AtlasLower, the leading m by m lower trian-
* gular part of the array A must contain the lower triangular
* part of the symmetric matrix and the strictly upper triangu-
* lar part of A is not referenced.
* Before entry with SIDE = AtlasRight, the n by n part of
* the array A must contain the symmetric matrix, such that
* when UPLO = AtlasUpper, the leading n by n upper triangular
* part of the array A must contain the upper triangular part
* of the symmetric matrix and the strictly lower triangular
* part of A is not referenced, and when UPLO = AtlasLower,
* the leading n by n lower triangular part of the array A
* must contain the lower triangular part of the symmetric
* matrix and the strictly upper triangular part of A is not
* referenced. Unchanged on exit.
*
* LDA (input) const int
* On entry, LDA specifies the leading dimension of A as decla-
* red in the calling (sub) program. LDA must be at least
* MAX( 1, m ) when SIDE = AtlasLeft, and MAX( 1, n ) otherwise.
* Unchanged on exit.
*
* B (input) const float *
* On entry, B points to an array of size equal to or greater
* than LDB * n * sizeof( float [2] ). Before entry, the lea-
* ding m by n part of the array B must contain the matrix B.
* Unchanged on exit.
*
* LDB (input) const int
* On entry, LDB specifies the leading dimension of B as decla-
* red in the calling (sub) program. LDB must be at least
* MAX( 1, m ). wise. Unchanged on exit.
*
* BETA (input) const float *
* On entry, BETA specifies the scalar beta. When BETA is
* supplied as zero then the elements of the matrix C need
* not be set on input. Unchanged on exit.
*
* C (input/output) float *
* On entry, C points to an array of size equal to or greater
* than LDC * n * sizeof( float [2] ). Before entry, the lea-
* ding m by n part of the array C must contain the matrix C,
* except when beta is zero, in which case C need not be set on
* entry. On exit, the array C is overwritten by the m by n up-
* dated matrix.
*
* LDC (input) const int
* On entry, LDC specifies the leading dimension of A as decla-
* red in the calling (sub) program. LDC must be at least
* MAX( 1, m ). Unchanged on exit.
*
* ---------------------------------------------------------------------
*/
/* ..
* .. Executable Statements ..
*
*/
if( ( M == 0 ) || ( N == 0 ) || ( Mszero( ALPHA[0], ALPHA[1] ) &&
Msone ( BETA [0], BETA [1] ) ) ) return;
if( Mszero( ALPHA[0], ALPHA[1] ) )
{ Mcgescal( M, N, BETA, C, LDC ); return; }
if( SIDE == AtlasLeft )
{
if( UPLO == AtlasUpper )
{ ATL_crefsymmLU( M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC ); }
else
{ ATL_crefsymmLL( M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC ); }
}
else
{
if( UPLO == AtlasUpper )
{ ATL_crefsymmRU( M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC ); }
else
{ ATL_crefsymmRL( M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC ); }
}
/*
* End of ATL_crefsymm
*/
}
void ATL_crefgpmv
(
const enum ATLAS_UPLO UPLO,
const enum ATLAS_TRANS TRANS,
const int M,
const int N,
const float * ALPHA,
const float * A,
const int LDA,
const float * X,
const int INCX,
const float * BETA,
float * Y,
const int INCY
)
{
/*
* Purpose
* =======
*
* ATL_crefgpmv performs one of the matrix-vector operations
*
* y := alpha * op( A ) * x + beta * y,
*
* where op( X ) is one of
*
* op( X ) = X or op( X ) = conjg( X ) or
*
* op( X ) = X' or op( X ) = conjg( X' ).
*
* where alpha and beta are scalars, x and y are n-element vectors and A
* is an m by n general matrix, supplied in packed form.
*
* Arguments
* =========
*
* UPLO (input) const enum ATLAS_UPLO
* On entry, UPLO specifies whether the array A contains an up-
* per or lower packed submatrix as follows:
*
* UPLO = AtlasUpper A is an upper-packed submatrix,
*
* UPLO = AtlasLower A is a lower-packed submatrix.
*
* Unchanged on exit.
*
* TRANS (input) const enum ATLAS_TRANS
* On entry, TRANS specifies the operation to be performed as
* follows:
*
* TRANS = AtlasNoTrans y := alpha*A *x + beta*y,
*
* TRANS = AtlasConj y := alpha*conjg( A )*x + beta*y,
*
* TRANS = AtlasTrans y := alpha*A'*x + beta*y,
*
* TRANS = AtlasConjTrans y := alpha*conjg( A' )*x + beta*y.
*
* Unchanged on exit.
*
* M (input) const int
* On entry, M specifies the number of rows of the matrix A
* when TRANS = AtlasNoTrans or TRANS = AtlasConj, and the num-
* ber of columns of the matrix A otherwise. M must be at least
* zero. Unchanged on exit.
*
* N (input) const int
* On entry, N specifies the number of columns of the matrix A
* when TRANS = AtlasNoTrans or TRANS = AtlasConj, and the num-
* ber of rows of the matrix A otherwise. N must be at least ze-
* ro. Unchanged on exit.
*
* ALPHA (input) const float *
* On entry, ALPHA specifies the scalar alpha. When ALPHA is
* supplied as zero then A and X need not be set on input. Un-
* changed on exit.
*
* A (input) const float *
* On entry, A points to an array of size equal to or greater
* than ( LDA * ka - sum(1 .. ka-1, k) ) * sizeof( float [2] ),
* where ka is n when TRANS = AtlasNotrans or TRANS = AtlasConj,
* and m otherwise. Before entry with UPLO = AtlasUpper, the ar-
* ray A must contain the entries of the matrix packed sequen-
* tially, column by column, so that A[0] contains a(0,0), A[1]
* and A[2] contain a(1,0) and a(2,0), A[LDA] and A[2*LDA+1]
* contain a(0,1) and a(0,2) respectively and so on. Before en-
* try with UPLO = AtlasLower, the array A must contain the en-
* tries of the matrix packed sequentially, column by column, so
* that A[ 0 ] contains a(0,0), A[ 1 ] and A[ 2 ] contain a(1,0)
* and a(2,0), A[LDA] and A[2*LDA-1] contain a(1,1) and a(2,2)
* respectively, and so on. Unchanged on exit.
*
* LDA (input) const int
* On entry, LDA specifies the length of the first column of A.
* LDA must be at least MAX( 1, m ) when TRANS = AtlasNotrans
* or TRANS = AtlasConj, and MAX( 1, n ) otherwise. Unchanged on
* exit.
*
* X (input) const float *
* On entry, X points to the first entry to be accessed of an
* incremented array of size equal to or greater than
* ( 1 + ( n - 1 ) * abs( INCX ) ) * sizeof( float [2] ),
* that contains the vector x. Unchanged on exit.
*
* INCX (input) const int
* On entry, INCX specifies the increment for the elements of X.
* INCX must not be zero. Unchanged on exit.
*
* BETA (input) const float *
* On entry, BETA specifies the scalar beta. When BETA is
* supplied as zero then Y need not be set on input. Unchanged
* on exit.
*
* Y (input/output) float *
* On entry, Y points to the first entry to be accessed of an
* incremented array of size equal to or greater than
* ( 1 + ( m - 1 ) * abs( INCY ) ) * sizeof( float [2] ),
* that contains the vector y. Before entry with BETA non-zero,
* the incremented array Y must contain the vector y. On exit,
* Y is overwritten by the updated vector y.
*
* INCY (input) const int
* On entry, INCY specifies the increment for the elements of Y.
* INCY must not be zero. Unchanged on exit.
*
* ---------------------------------------------------------------------
*/
/* ..
* .. Executable Statements ..
*
*/
if( ( M == 0 ) || ( N == 0 ) ||
( Mszero( ALPHA[0], ALPHA[1] ) && Msone( BETA[0], BETA[1] ) ) )
return;
if( Mszero( ALPHA[0], ALPHA[1] ) )
{ Mcvscal( M, BETA, Y, INCY ); return; }
if( UPLO == AtlasUpper )
{
if( TRANS == AtlasNoTrans )
{ ATL_crefgpmvUN( M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ); }
else if( TRANS == AtlasConj )
{ ATL_crefgpmvUC( M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ); }
else if( TRANS == AtlasTrans )
{ ATL_crefgpmvUT( M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ); }
else
{ ATL_crefgpmvUH( M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ); }
}
else
{
if( TRANS == AtlasNoTrans )
{ ATL_crefgpmvLN( M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ); }
else if( TRANS == AtlasConj )
{ ATL_crefgpmvLC( M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ); }
else if( TRANS == AtlasTrans )
{ ATL_crefgpmvLT( M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ); }
else
{ ATL_crefgpmvLH( M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ); }
}
/*
* End of ATL_crefgpmv
*/
}
