void ATL_zrefherkLN
(
const int N,
const int K,
const double ALPHA,
const double * A,
const int LDA,
const double BETA,
double * C,
const int LDC
)
{
/*
* Purpose
* =======
*
* ATL_zrefherkLN( ... )
*
* <=>
*
* ATL_zrefherk( AtlasLower, AtlasNoTrans, ... )
*
* See ATL_zrefherk for details.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Variables ..
*/
register double t0_i, t0_r;
int i, iail, iaj, iajl, icij, j, jal, jcj, l,
lda2 = ( LDA << 1 ), ldc2 = ( LDC << 1 );
/* ..
* .. Executable Statements ..
*
*/
for( j = 0, iaj = 0, jcj = 0; j < N; j++, iaj += 2, jcj += ldc2 )
{
icij = ( j << 1 ) + jcj;
Mdelscal( BETA, C[icij] ); C[icij+1] = ATL_dZERO;
Mdvscal( ((N-j-1) << 1), BETA, C+icij+2, 1 );
for( l = 0, iajl = iaj, jal = 0; l < K; l++, iajl += lda2, jal += lda2 )
{
Mset( ALPHA * A[iajl], -ALPHA * A[iajl+1], t0_r, t0_i );
iail = ( j << 1 ) + jal; icij = ( j << 1 ) + jcj;
Mset( C[icij] + t0_r * A[iail] - t0_i * A[iail+1],
ATL_dZERO, C[icij], C[icij+1] );
iail += 2; icij += 2;
for( i = j+1; i < N; i++, iail += 2, icij += 2 )
{ Mmla( t0_r, t0_i, A[iail], A[iail+1], C[icij], C[icij+1] ); }
}
}
/*
* End of ATL_zrefherkLN
*/
}
void ATL_drefsyr2kUT
(
const int N,
const int K,
const double ALPHA,
const double * A,
const int LDA,
const double * B,
const int LDB,
const double BETA,
double * C,
const int LDC
)
{
/*
* Purpose
* =======
*
* ATL_drefsyr2kUT( ... )
*
* <=>
*
* ATL_drefsyr2k( AtlasUpper, AtlasTrans, ... )
*
* See ATL_drefsyr2k for details.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Variables ..
*/
register double t0, t1;
int i, iali, ialj, ibli, iblj, icij, j, jai, jaj,
jbi, jbj, jcj, l;
/* ..
* .. Executable Statements ..
*
*/
for( j = 0, jaj = 0, jbj = 0, jcj = 0;
j < N; j++, jaj += LDA, jbj += LDB, jcj += LDC )
{
for( i = 0, jai = 0, jbi = 0, icij = jcj;
i <= j; i++, jai += LDA, jbi += LDB, icij += 1 )
{
t0 = ATL_dZERO; t1 = ATL_dZERO;
for( l = 0, iali = jai, ialj = jaj, ibli = jbi, iblj = jbj;
l < K; l++, iali += 1, ialj += 1, ibli += 1, iblj += 1 )
{ t0 += A[iali] * B[iblj]; t1 += B[ibli] * A[ialj]; }
Mdelscal( BETA, C[icij] ); C[icij] += ALPHA * t0 + ALPHA * t1;
}
}
/*
* End of ATL_drefsyr2kUT
*/
}
void ATL_drefsymmLL
(
const int M,
const int N,
const double ALPHA,
const double * A,
const int LDA,
const double * B,
const int LDB,
const double BETA,
double * C,
const int LDC
)
{
/*
* Purpose
* =======
*
* ATL_drefsymmLL( ... )
*
* <=>
*
* ATL_drefsymm( AtlasLeft, AtlasLower, ... )
*
* See ATL_drefsymm for details.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Variables ..
*/
register double t0, t1;
int i, iaki, ibij, ibkj, icij, ickj, j, jai,
jbj, jcj, k;
/* ..
* .. Executable Statements ..
*
*/
for( j = 0, jbj = 0, jcj = 0; j < N; j++, jbj += LDB, jcj += LDC )
{
for( i = M-1, jai = (M-1)*LDA, ibij = M-1+jbj, icij = M-1+jcj;
i >= 0; i--, jai -= LDA, ibij -= 1, icij -= 1 )
{
t0 = ALPHA * B[ibij]; t1 = ATL_dZERO;
for( k = i+1, iaki = i+1+jai, ibkj = i+1+jbj, ickj = i+1+jcj;
k < M; k++, iaki += 1, ibkj += 1, ickj += 1 )
{ C[ickj] += t0 * A[iaki]; t1 += B[ibkj] * A[iaki]; }
Mdelscal( BETA, C[icij] ); C[icij] += t0 * A[i+jai] + ALPHA * t1;
}
}
/*
* End of ATL_drefsymmLL
*/
}
void ATL_drefgpmvLT
(
const int M,
const int N,
const double ALPHA,
const double * A,
const int LDA,
const double * X,
const int INCX,
const double BETA,
double * Y,
const int INCY
)
{
/*
* Purpose
* =======
*
* ATL_drefgpmvLT( ... )
*
* <=>
*
* ATL_drefgpmv( AtlasLower, AtlasTrans, ... )
*
* See ATL_drefgpmv for details.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Variables ..
*/
register double t0;
int i, iaij, ix, j, jaj, jy, lda = LDA;
/* ..
* .. Executable Statements ..
*
*/
for( j = 0, jaj = 0, jy = 0; j < M; j++, jy += INCY )
{
t0 = ATL_dZERO;
for( i = 0, iaij = jaj, ix = 0; i < N; i++, iaij += 1, ix += INCX )
{ t0 += A[iaij] * X[ix]; }
Mdelscal( BETA, Y[jy] ); Y[jy] += ALPHA * t0;
lda -= 1; jaj += lda;
}
/*
* End of ATL_drefgpmvLT
*/
}
void ATL_drefgbmvT
(
const int M,
const int N,
const int KL,
const int KU,
const double ALPHA,
const double * A,
const int LDA,
const double * X,
const int INCX,
const double BETA,
double * Y,
const int INCY
)
{
/*
* Purpose
* =======
*
* ATL_drefgbmvT( ... ) <=> ATL_drefgbmv( AtlasTrans, ... )
*
* See ATL_drefgbmv for details.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Variables ..
*/
register double t0;
int i, i0, i1, iaij, ix, j, jaj, jy, k, kx=0, ky=0;
/* ..
* .. Executable Statements ..
*
*/
for( j = 0, jaj = 0, jy = ky; j < M; j++, jaj += LDA, jy += INCY )
{
t0 = ATL_dZERO; k = KU - j; i0 = ( j - KU > 0 ? j - KU : 0 );
i1 = ( N - 1 > j + KL ? j + KL : N - 1 );
for( i = i0, iaij = k+i0+jaj, ix = kx; i <= i1;
i++, iaij += 1, ix += INCX ) { t0 += A[iaij] * X[ix]; }
Mdelscal( BETA, Y[jy] ); Y[jy] += ALPHA * t0;
if( j >= KU ) kx += INCX;
}
/*
* End of ATL_drefgbmvT
*/
}
void ATL_drefgemmTN
(
const int M,
const int N,
const int K,
const double ALPHA,
const double * A,
const int LDA,
const double * B,
const int LDB,
const double BETA,
double * C,
const int LDC
)
{
/*
* .. Local Variables ..
*/
register double t0;
int i, iai, iail, iblj, icij, j, jbj, jcj, l;
/* ..
* .. Executable Statements ..
*
*/
for( j = 0, jbj = 0, jcj = 0; j < N; j++, jbj += LDB, jcj += LDC )
{
for( i = 0, icij = jcj, iai = 0; i < M; i++, icij += 1, iai += LDA )
{
t0 = ATL_dZERO;
for( l = 0, iail = iai, iblj = jbj; l < K; l++, iail += 1, iblj += 1 )
{ t0 += A[iail] * B[iblj]; }
Mdelscal( BETA, C[icij] ); C[icij] += ALPHA * t0;
}
}
/*
* End of ATL_drefgemmTN
*/
}
void ATL_zrefher2kLN
(
const int N,
const int K,
const double * ALPHA,
const double * A,
const int LDA,
const double * B,
const int LDB,
const double BETA,
double * C,
const int LDC
)
{
/*
* Purpose
* =======
*
* ATL_zrefher2kLN( ... )
*
* <=>
*
* ATL_zrefher2k( AtlasLower, AtlasNoTrans, ... )
*
* See ATL_zrefher2k for details.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Variables ..
*/
double t0_i, t0_r, t1_i, t1_r;
int i, iail, iaj, iajl, ibil, ibj, ibjl, icij,
j, jal, jbl, jcj, l, lda2 = ( LDA << 1 ),
ldb2 = ( LDB << 1 ), ldc2 = ( LDC << 1 );
/* ..
* .. Executable Statements ..
*
*/
for( j = 0, iaj = 0, ibj = 0, jcj = 0;
j < N; j++, iaj += 2, ibj += 2, jcj += ldc2 )
{
icij = ( j << 1 ) + jcj;
Mdelscal( BETA, C[icij] ); C[icij+1] = ATL_dZERO;
Mdvscal( ((N-j-1) << 1), BETA, C+icij+2, 1 );
for( l = 0, iajl = iaj, ibjl = ibj, jal = 0, jbl = 0;
l < K; l++, iajl += lda2, ibjl += ldb2, jal += lda2, jbl += ldb2 )
{
Mmul( ALPHA[0], ALPHA[1], B[ibjl], -B[ibjl+1], t0_r, t0_i );
Mmul( ALPHA[0], -ALPHA[1], A[iajl], -A[iajl+1], t1_r, t1_i );
iail = ( j << 1 ) + jal; ibil = ( j << 1 ) + jbl,
icij = ( j << 1 ) + jcj;
Mset( C[icij] + A[iail] * t0_r - A[iail+1] * t0_i +
B[ibil] * t1_r - B[ibil+1] * t1_i,
ATL_dZERO, C[icij], C[icij+1] );
iail += 2; ibil += 2; icij += 2;
for( i = j+1; i < N; i++, iail += 2, ibil += 2, icij += 2 )
{
Mmla( A[iail], A[iail+1], t0_r, t0_i, C[icij], C[icij+1] );
Mmla( B[ibil], B[ibil+1], t1_r, t1_i, C[icij], C[icij+1] );
}
}
}
/*
* End of ATL_zrefher2kLN
*/
}
void ATL_zrefher2kLC
(
const int N,
const int K,
const double * ALPHA,
const double * A,
const int LDA,
const double * B,
const int LDB,
const double BETA,
double * C,
const int LDC
)
{
/*
* Purpose
* =======
*
* ATL_zrefher2kLC( ... )
*
* <=>
*
* ATL_zrefher2k( AtlasLower, AtlasConjTrans, ... )
*
* See ATL_zrefher2k for details.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Variables ..
*/
double t0_i, t0_r, t1_i, t1_r;
int i, iali, ialj, ibli, iblj, icij, j, jai, jaj,
jbi, jbj, jcj, l, lda2 = ( LDA << 1 ),
ldb2 = ( LDB << 1 ), ldc2 = ( LDC << 1 );
/* ..
* .. Executable Statements ..
*
*/
for( j = 0, jaj = 0, jbj = 0, jcj = 0;
j < N; j++, jaj += lda2, jbj += ldb2, jcj += ldc2 )
{
for( i = j, jai = j*lda2, jbi = j*ldb2, icij = (j << 1)+jcj;
i < N; i++, jai += lda2, jbi += ldb2, icij += 2 )
{
Mset( ATL_dZERO, ATL_dZERO, t0_r, t0_i );
Mset( ATL_dZERO, ATL_dZERO, t1_r, t1_i );
for( l = 0, iali = jai, ialj = jaj, ibli = jbi, iblj = jbj;
l < K; l++, iali += 2, ialj += 2, ibli += 2, iblj += 2 )
{
Mmla( A[iali], -A[iali+1], B[iblj], B[iblj+1], t0_r, t0_i );
Mmla( B[ibli], -B[ibli+1], A[ialj], A[ialj+1], t1_r, t1_i );
}
if( i == j )
{
Mdelscal( BETA, C[icij] );
Mset( C[icij] + ALPHA[0] * t0_r - ALPHA[1] * t0_i +
ALPHA[0] * t1_r + ALPHA[1] * t1_i,
ATL_dZERO, C[icij], C[icij+1] );
}
else
{
Mdelscal( BETA, C[icij ] ); Mdelscal( BETA, C[icij+1] );
Mmla( ALPHA[0], ALPHA[1], t0_r, t0_i, C[icij], C[icij+1] );
Mmla( ALPHA[0], -ALPHA[1], t1_r, t1_i, C[icij], C[icij+1] );
}
}
}
/*
* End of ATL_zrefher2kLC
*/
}
