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Functions
bli_syr2k.c File Reference

(r)

Functions

void bli_ssyr2k (char uplo, char trans, int m, int k, float *alpha, float *a, int a_rs, int a_cs, float *b, int b_rs, int b_cs, float *beta, float *c, int c_rs, int c_cs)
void bli_dsyr2k (char uplo, char trans, int m, int k, double *alpha, double *a, int a_rs, int a_cs, double *b, int b_rs, int b_cs, double *beta, double *c, int c_rs, int c_cs)
void bli_csyr2k (char uplo, char trans, int m, int k, scomplex *alpha, scomplex *a, int a_rs, int a_cs, scomplex *b, int b_rs, int b_cs, scomplex *beta, scomplex *c, int c_rs, int c_cs)
void bli_zsyr2k (char uplo, char trans, int m, int k, dcomplex *alpha, dcomplex *a, int a_rs, int a_cs, dcomplex *b, int b_rs, int b_cs, dcomplex *beta, dcomplex *c, int c_rs, int c_cs)
void bli_ssyr2k_blas (char uplo, char trans, int m, int k, float *alpha, float *a, int lda, float *b, int ldb, float *beta, float *c, int ldc)
void bli_dsyr2k_blas (char uplo, char trans, int m, int k, double *alpha, double *a, int lda, double *b, int ldb, double *beta, double *c, int ldc)
void bli_csyr2k_blas (char uplo, char trans, int m, int k, scomplex *alpha, scomplex *a, int lda, scomplex *b, int ldb, scomplex *beta, scomplex *c, int ldc)
void bli_zsyr2k_blas (char uplo, char trans, int m, int k, dcomplex *alpha, dcomplex *a, int lda, dcomplex *b, int ldb, dcomplex *beta, dcomplex *c, int ldc)

Function Documentation

void bli_csyr2k ( char  uplo,
char  trans,
int  m,
int  k,
scomplex alpha,
scomplex a,
int  a_rs,
int  a_cs,
scomplex b,
int  b_rs,
int  b_cs,
scomplex beta,
scomplex c,
int  c_rs,
int  c_cs 
)

References bli_callocm(), bli_ccopymt(), bli_ccreate_contigmr(), bli_ccreate_contigmt(), bli_cfree(), bli_cfree_contigm(), bli_cfree_saved_contigmr(), bli_csyr2k_blas(), bli_does_trans(), bli_is_col_storage(), and bli_zero_dim2().

Referenced by FLA_Syr2k_external().

{
    char      uplo_save = uplo;
    int       m_save    = m;
    scomplex* a_save    = a;
    scomplex* b_save    = b;
    scomplex* c_save    = c;
    int       a_rs_save = a_rs;
    int       a_cs_save = a_cs;
    int       b_rs_save = b_rs;
    int       b_cs_save = b_cs;
    int       c_rs_save = c_rs;
    int       c_cs_save = c_cs;
    scomplex* a_copy;
    scomplex* b_copy;
    int       lda, inca;
    int       ldb, incb;
    int       ldc, incc;
    int       lda_copy, inca_copy;
    int       ldb_copy, incb_copy;
    int       syr2k_needs_copya = FALSE;
    int       syr2k_needs_copyb = FALSE;

    // Return early if possible.
    if ( bli_zero_dim2( m, k ) ) return;

    // If necessary, allocate, initialize, and use a temporary contiguous
    // copy of each matrix rather than the original matrices.
    bli_ccreate_contigmt( trans,
                          m,
                          k,
                          a_save, a_rs_save, a_cs_save,
                          &a,     &a_rs,     &a_cs );

    bli_ccreate_contigmt( trans,
                          m,
                          k,
                          b_save, b_rs_save, b_cs_save,
                          &b,     &b_rs,     &b_cs );

    bli_ccreate_contigmr( uplo,
                          m,
                          m,
                          c_save, c_rs_save, c_cs_save,
                          &c,     &c_rs,     &c_cs );

    // Initialize with values assuming column-major storage.
    lda  = a_cs;
    inca = a_rs;
    ldb  = b_cs;
    incb = b_rs;
    ldc  = c_cs;
    incc = c_rs;

    // Adjust the parameters based on the storage of each matrix.
    if ( bli_is_col_storage( c_rs, c_cs ) )
    {
        if ( bli_is_col_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_c * B_r' + B_r * A_c'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                syr2k_needs_copyb = TRUE;
            }
        }
        else // if ( bli_is_row_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_r * B_c' + B_c * A_r'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                syr2k_needs_copya = TRUE;
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_r * B_r' + B_r * A_r'
                // requested operation: uplo( C_c ) += conj( A_c' * B_c + B_c' * A_c )
                bli_swap_ints( lda, inca );
                bli_swap_ints( ldb, incb );

                bli_toggle_trans( trans );
            }
        }
    }
    else // if ( bli_is_row_storage( c_rs, c_cs ) )
    {
        if ( bli_is_col_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_c * B_c' + B_c * A_c'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_c * B_r' + B_r * A_c'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                syr2k_needs_copyb = TRUE;

                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
        }
        else // if ( bli_is_row_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_r * B_c' + B_c * A_r'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                syr2k_needs_copya = TRUE;

                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_r * B_r' + B_r * A_r'
                // requested operation: ~uplo( C_c ) += A_c' * B_c + B_c' * A_c
                bli_swap_ints( ldc, incc );
                bli_swap_ints( lda, inca );
                bli_swap_ints( ldb, incb );

                bli_toggle_uplo( uplo );
                bli_toggle_trans( trans );
            }
        }
    }

    a_copy    = a;
    lda_copy  = lda;
    inca_copy = inca;
    
    // There are two cases where we need to copy A column-major storage.
    // We handle those two cases here.
    if ( syr2k_needs_copya )
    {
        int m_a;
        int n_a;

        // Determine the dimensions of A according to the value of trans. We
        // need this in order to set the leading dimension of the copy of A.
        if ( bli_does_trans( trans ) ) { m_a = k; n_a = m; }
        else                           { m_a = m; n_a = k; }

        // We need a temporary matrix to hold a column-major copy of A.
        a_copy    = bli_callocm( m, k );
        lda_copy  = m_a;
        inca_copy = 1;

        // Copy the contents of A into A_copy.
        bli_ccopymt( BLIS_NO_TRANSPOSE,
                     m_a,
                     n_a,
                     a,      inca,      lda,
                     a_copy, inca_copy, lda_copy );
    }
    
    b_copy    = b;
    ldb_copy  = ldb;
    incb_copy = incb;

    // There are two cases where we need to copy B column-major storage.
    // We handle those two cases here.
    if ( syr2k_needs_copyb )
    {
        int m_b;
        int n_b;

        // Determine the dimensions of B according to the value of trans. We
        // need this in order to set the leading dimension of the copy of B.
        if ( bli_does_trans( trans ) ) { m_b = k; n_b = m; }
        else                           { m_b = m; n_b = k; }

        // We need a temporary matrix to hold a column-major copy of B.
        b_copy    = bli_callocm( m, k );
        ldb_copy  = m_b;
        incb_copy = 1;

        // Copy the contents of B into B_copy.
        bli_ccopymt( BLIS_NO_TRANSPOSE,
                     m_b,
                     n_b,
                     b,      incb,      ldb,
                     b_copy, incb_copy, ldb_copy );
    }

    bli_csyr2k_blas( uplo,
                     trans,
                     m,
                     k,
                     alpha,
                     a_copy, lda_copy,
                     b_copy, ldb_copy,
                     beta,
                     c, ldc );

    if ( syr2k_needs_copya )
        bli_cfree( a_copy );

    if ( syr2k_needs_copyb )
        bli_cfree( b_copy );

    // Free any temporary contiguous matrices, copying the result back to
    // the original matrix.
    bli_cfree_contigm( a_save, a_rs_save, a_cs_save,
                       &a,     &a_rs,     &a_cs );

    bli_cfree_contigm( b_save, b_rs_save, b_cs_save,
                       &b,     &b_rs,     &b_cs );

    bli_cfree_saved_contigmr( uplo_save,
                              m_save,
                              m_save,
                              c_save, c_rs_save, c_cs_save,
                              &c,     &c_rs,     &c_cs );
}
void bli_csyr2k_blas ( char  uplo,
char  trans,
int  m,
int  k,
scomplex alpha,
scomplex a,
int  lda,
scomplex b,
int  ldb,
scomplex beta,
scomplex c,
int  ldc 
)

References bli_is_conjtrans(), bli_param_map_to_netlib_trans(), bli_param_map_to_netlib_uplo(), cblas_csyr2k(), CblasColMajor, and F77_csyr2k().

Referenced by bli_csyr2k().

{
    // BLAS doesn't recognize the conjugate-transposition constant for syr2k,
    // so we have to map it down to regular transposition.
    if ( bli_is_conjtrans( trans ) ) trans = BLIS_TRANSPOSE;

#ifdef BLIS_ENABLE_CBLAS_INTERFACES
    enum CBLAS_ORDER     cblas_order = CblasColMajor;
    enum CBLAS_UPLO      cblas_uplo;
    enum CBLAS_TRANSPOSE cblas_trans;

    bli_param_map_to_netlib_uplo( uplo, &cblas_uplo );
    bli_param_map_to_netlib_trans( trans, &cblas_trans );

    cblas_csyr2k( cblas_order,
                  cblas_uplo,
                  cblas_trans,
                  m,
                  k,
                  alpha,
                  a, lda,
                  b, ldb,
                  beta,
                  c, ldc );
#else
    char blas_uplo;
    char blas_trans;

    bli_param_map_to_netlib_uplo( uplo, &blas_uplo );
    bli_param_map_to_netlib_trans( trans, &blas_trans );

    F77_csyr2k( &blas_uplo,
                &blas_trans,
                &m,
                &k,
                alpha,
                a, &lda,
                b, &ldb,
                beta,
                c, &ldc );
#endif
}
void bli_dsyr2k ( char  uplo,
char  trans,
int  m,
int  k,
double *  alpha,
double *  a,
int  a_rs,
int  a_cs,
double *  b,
int  b_rs,
int  b_cs,
double *  beta,
double *  c,
int  c_rs,
int  c_cs 
)

References bli_dallocm(), bli_dcopymt(), bli_dcreate_contigmr(), bli_dcreate_contigmt(), bli_dfree(), bli_dfree_contigm(), bli_dfree_saved_contigmr(), bli_does_trans(), bli_dsyr2k_blas(), bli_is_col_storage(), and bli_zero_dim2().

Referenced by bli_dher2k(), FLA_Her2k_external(), and FLA_Syr2k_external().

{
    char      uplo_save = uplo;
    int       m_save    = m;
    double*   a_save    = a;
    double*   b_save    = b;
    double*   c_save    = c;
    int       a_rs_save = a_rs;
    int       a_cs_save = a_cs;
    int       b_rs_save = b_rs;
    int       b_cs_save = b_cs;
    int       c_rs_save = c_rs;
    int       c_cs_save = c_cs;
    double*   a_copy;
    double*   b_copy;
    int       lda, inca;
    int       ldb, incb;
    int       ldc, incc;
    int       lda_copy, inca_copy;
    int       ldb_copy, incb_copy;
    int       syr2k_needs_copya = FALSE;
    int       syr2k_needs_copyb = FALSE;

    // Return early if possible.
    if ( bli_zero_dim2( m, k ) ) return;

    // If necessary, allocate, initialize, and use a temporary contiguous
    // copy of each matrix rather than the original matrices.
    bli_dcreate_contigmt( trans,
                          m,
                          k,
                          a_save, a_rs_save, a_cs_save,
                          &a,     &a_rs,     &a_cs );

    bli_dcreate_contigmt( trans,
                          m,
                          k,
                          b_save, b_rs_save, b_cs_save,
                          &b,     &b_rs,     &b_cs );

    bli_dcreate_contigmr( uplo,
                          m,
                          m,
                          c_save, c_rs_save, c_cs_save,
                          &c,     &c_rs,     &c_cs );

    // Initialize with values assuming column-major storage.
    lda  = a_cs;
    inca = a_rs;
    ldb  = b_cs;
    incb = b_rs;
    ldc  = c_cs;
    incc = c_rs;

    // Adjust the parameters based on the storage of each matrix.
    if ( bli_is_col_storage( c_rs, c_cs ) )
    {
        if ( bli_is_col_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_c * B_r' + B_r * A_c'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                syr2k_needs_copyb = TRUE;
            }
        }
        else // if ( bli_is_row_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_r * B_c' + B_c * A_r'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                syr2k_needs_copya = TRUE;
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_r * B_r' + B_r * A_r'
                // requested operation: uplo( C_c ) += conj( A_c' * B_c + B_c' * A_c )
                bli_swap_ints( lda, inca );
                bli_swap_ints( ldb, incb );

                bli_toggle_trans( trans );
            }
        }
    }
    else // if ( bli_is_row_storage( c_rs, c_cs ) )
    {
        if ( bli_is_col_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_c * B_c' + B_c * A_c'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_c * B_r' + B_r * A_c'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                syr2k_needs_copyb = TRUE;

                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
        }
        else // if ( bli_is_row_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_r * B_c' + B_c * A_r'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                syr2k_needs_copya = TRUE;

                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_r * B_r' + B_r * A_r'
                // requested operation: ~uplo( C_c ) += A_c' * B_c + B_c' * A_c
                bli_swap_ints( ldc, incc );
                bli_swap_ints( lda, inca );
                bli_swap_ints( ldb, incb );

                bli_toggle_uplo( uplo );
                bli_toggle_trans( trans );
            }
        }
    }

    a_copy    = a;
    lda_copy  = lda;
    inca_copy = inca;
    
    // There are two cases where we need to copy A column-major storage.
    // We handle those two cases here.
    if ( syr2k_needs_copya )
    {
        int m_a;
        int n_a;

        // Determine the dimensions of A according to the value of trans. We
        // need this in order to set the leading dimension of the copy of A.
        if ( bli_does_trans( trans ) ) { m_a = k; n_a = m; }
        else                           { m_a = m; n_a = k; }

        // We need a temporary matrix to hold a column-major copy of A.
        a_copy    = bli_dallocm( m, k );
        lda_copy  = m_a;
        inca_copy = 1;

        // Copy the contents of A into A_copy.
        bli_dcopymt( BLIS_NO_TRANSPOSE,
                     m_a,
                     n_a,
                     a,      inca,      lda,
                     a_copy, inca_copy, lda_copy );
    }
    
    b_copy    = b;
    ldb_copy  = ldb;
    incb_copy = incb;

    // There are two cases where we need to copy B column-major storage.
    // We handle those two cases here.
    if ( syr2k_needs_copyb )
    {
        int m_b;
        int n_b;

        // Determine the dimensions of B according to the value of trans. We
        // need this in order to set the leading dimension of the copy of B.
        if ( bli_does_trans( trans ) ) { m_b = k; n_b = m; }
        else                           { m_b = m; n_b = k; }

        // We need a temporary matrix to hold a column-major copy of B.
        b_copy    = bli_dallocm( m, k );
        ldb_copy  = m_b;
        incb_copy = 1;

        // Copy the contents of B into B_copy.
        bli_dcopymt( BLIS_NO_TRANSPOSE,
                     m_b,
                     n_b,
                     b,      incb,      ldb,
                     b_copy, incb_copy, ldb_copy );
    }

    bli_dsyr2k_blas( uplo,
                     trans,
                     m,
                     k,
                     alpha,
                     a_copy, lda_copy,
                     b_copy, ldb_copy,
                     beta,
                     c, ldc );

    if ( syr2k_needs_copya )
        bli_dfree( a_copy );

    if ( syr2k_needs_copyb )
        bli_dfree( b_copy );

    // Free any temporary contiguous matrices, copying the result back to
    // the original matrix.
    bli_dfree_contigm( a_save, a_rs_save, a_cs_save,
                       &a,     &a_rs,     &a_cs );

    bli_dfree_contigm( b_save, b_rs_save, b_cs_save,
                       &b,     &b_rs,     &b_cs );

    bli_dfree_saved_contigmr( uplo_save,
                              m_save,
                              m_save,
                              c_save, c_rs_save, c_cs_save,
                              &c,     &c_rs,     &c_cs );
}
void bli_dsyr2k_blas ( char  uplo,
char  trans,
int  m,
int  k,
double *  alpha,
double *  a,
int  lda,
double *  b,
int  ldb,
double *  beta,
double *  c,
int  ldc 
)

References bli_is_conjtrans(), bli_param_map_to_netlib_trans(), bli_param_map_to_netlib_uplo(), cblas_dsyr2k(), CblasColMajor, and F77_dsyr2k().

Referenced by bli_dsyr2k().

{
    // BLAS doesn't recognize the conjugate-transposition constant for syr2k,
    // so we have to map it down to regular transposition.
    if ( bli_is_conjtrans( trans ) ) trans = BLIS_TRANSPOSE;

#ifdef BLIS_ENABLE_CBLAS_INTERFACES
    enum CBLAS_ORDER     cblas_order = CblasColMajor;
    enum CBLAS_UPLO      cblas_uplo;
    enum CBLAS_TRANSPOSE cblas_trans;

    bli_param_map_to_netlib_uplo( uplo, &cblas_uplo );
    bli_param_map_to_netlib_trans( trans, &cblas_trans );

    cblas_dsyr2k( cblas_order,
                  cblas_uplo,
                  cblas_trans,
                  m,
                  k,
                  *alpha,
                  a, lda,
                  b, ldb,
                  *beta,
                  c, ldc );
#else
    char blas_uplo;
    char blas_trans;

    bli_param_map_to_netlib_uplo( uplo, &blas_uplo );
    bli_param_map_to_netlib_trans( trans, &blas_trans );

    F77_dsyr2k( &blas_uplo,
                &blas_trans,
                &m,
                &k,
                alpha,
                a, &lda,
                b, &ldb,
                beta,
                c, &ldc );
#endif
}
void bli_ssyr2k ( char  uplo,
char  trans,
int  m,
int  k,
float *  alpha,
float *  a,
int  a_rs,
int  a_cs,
float *  b,
int  b_rs,
int  b_cs,
float *  beta,
float *  c,
int  c_rs,
int  c_cs 
)

References bli_does_trans(), bli_is_col_storage(), bli_sallocm(), bli_scopymt(), bli_screate_contigmr(), bli_screate_contigmt(), bli_sfree(), bli_sfree_contigm(), bli_sfree_saved_contigmr(), bli_ssyr2k_blas(), and bli_zero_dim2().

Referenced by bli_sher2k(), FLA_Her2k_external(), and FLA_Syr2k_external().

{
    char      uplo_save = uplo;
    int       m_save    = m;
    float*    a_save    = a;
    float*    b_save    = b;
    float*    c_save    = c;
    int       a_rs_save = a_rs;
    int       a_cs_save = a_cs;
    int       b_rs_save = b_rs;
    int       b_cs_save = b_cs;
    int       c_rs_save = c_rs;
    int       c_cs_save = c_cs;
    float*    a_copy;
    float*    b_copy;
    int       lda, inca;
    int       ldb, incb;
    int       ldc, incc;
    int       lda_copy, inca_copy;
    int       ldb_copy, incb_copy;
    int       syr2k_needs_copya = FALSE;
    int       syr2k_needs_copyb = FALSE;

    // Return early if possible.
    if ( bli_zero_dim2( m, k ) ) return;

    // If necessary, allocate, initialize, and use a temporary contiguous
    // copy of each matrix rather than the original matrices.
    bli_screate_contigmt( trans,
                          m,
                          k,
                          a_save, a_rs_save, a_cs_save,
                          &a,     &a_rs,     &a_cs );

    bli_screate_contigmt( trans,
                          m,
                          k,
                          b_save, b_rs_save, b_cs_save,
                          &b,     &b_rs,     &b_cs );

    bli_screate_contigmr( uplo,
                          m,
                          m,
                          c_save, c_rs_save, c_cs_save,
                          &c,     &c_rs,     &c_cs );

    // Initialize with values assuming column-major storage.
    lda  = a_cs;
    inca = a_rs;
    ldb  = b_cs;
    incb = b_rs;
    ldc  = c_cs;
    incc = c_rs;

    // Adjust the parameters based on the storage of each matrix.
    if ( bli_is_col_storage( c_rs, c_cs ) )
    {
        if ( bli_is_col_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_c * B_r' + B_r * A_c'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                syr2k_needs_copyb = TRUE;
            }
        }
        else // if ( bli_is_row_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_r * B_c' + B_c * A_r'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                syr2k_needs_copya = TRUE;
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_r * B_r' + B_r * A_r'
                // requested operation: uplo( C_c ) += conj( A_c' * B_c + B_c' * A_c )
                bli_swap_ints( lda, inca );
                bli_swap_ints( ldb, incb );

                bli_toggle_trans( trans );
            }
        }
    }
    else // if ( bli_is_row_storage( c_rs, c_cs ) )
    {
        if ( bli_is_col_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_c * B_c' + B_c * A_c'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_c * B_r' + B_r * A_c'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                syr2k_needs_copyb = TRUE;

                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
        }
        else // if ( bli_is_row_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_r * B_c' + B_c * A_r'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                syr2k_needs_copya = TRUE;

                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_r * B_r' + B_r * A_r'
                // requested operation: ~uplo( C_c ) += A_c' * B_c + B_c' * A_c
                bli_swap_ints( ldc, incc );
                bli_swap_ints( lda, inca );
                bli_swap_ints( ldb, incb );

                bli_toggle_uplo( uplo );
                bli_toggle_trans( trans );
            }
        }
    }

    a_copy    = a;
    lda_copy  = lda;
    inca_copy = inca;
    
    // There are two cases where we need to copy A column-major storage.
    // We handle those two cases here.
    if ( syr2k_needs_copya )
    {
        int m_a;
        int n_a;

        // Determine the dimensions of A according to the value of trans. We
        // need this in order to set the leading dimension of the copy of A.
        if ( bli_does_trans( trans ) ) { m_a = k; n_a = m; }
        else                           { m_a = m; n_a = k; }

        // We need a temporary matrix to hold a column-major copy of A.
        a_copy    = bli_sallocm( m, k );
        lda_copy  = m_a;
        inca_copy = 1;

        // Copy the contents of A into A_copy.
        bli_scopymt( BLIS_NO_TRANSPOSE,
                     m_a,
                     n_a,
                     a,      inca,      lda,
                     a_copy, inca_copy, lda_copy );
    }
    
    b_copy    = b;
    ldb_copy  = ldb;
    incb_copy = incb;

    // There are two cases where we need to copy B column-major storage.
    // We handle those two cases here.
    if ( syr2k_needs_copyb )
    {
        int m_b;
        int n_b;

        // Determine the dimensions of B according to the value of trans. We
        // need this in order to set the leading dimension of the copy of B.
        if ( bli_does_trans( trans ) ) { m_b = k; n_b = m; }
        else                           { m_b = m; n_b = k; }

        // We need a temporary matrix to hold a column-major copy of B.
        b_copy    = bli_sallocm( m, k );
        ldb_copy  = m_b;
        incb_copy = 1;

        // Copy the contents of B into B_copy.
        bli_scopymt( BLIS_NO_TRANSPOSE,
                     m_b,
                     n_b,
                     b,      incb,      ldb,
                     b_copy, incb_copy, ldb_copy );
    }

    bli_ssyr2k_blas( uplo,
                     trans,
                     m,
                     k,
                     alpha,
                     a_copy, lda_copy,
                     b_copy, ldb_copy,
                     beta,
                     c, ldc );

    if ( syr2k_needs_copya )
        bli_sfree( a_copy );

    if ( syr2k_needs_copyb )
        bli_sfree( b_copy );

    // Free any temporary contiguous matrices, copying the result back to
    // the original matrix.
    bli_sfree_contigm( a_save, a_rs_save, a_cs_save,
                       &a,     &a_rs,     &a_cs );

    bli_sfree_contigm( b_save, b_rs_save, b_cs_save,
                       &b,     &b_rs,     &b_cs );

    bli_sfree_saved_contigmr( uplo_save,
                              m_save,
                              m_save,
                              c_save, c_rs_save, c_cs_save,
                              &c,     &c_rs,     &c_cs );
}
void bli_ssyr2k_blas ( char  uplo,
char  trans,
int  m,
int  k,
float *  alpha,
float *  a,
int  lda,
float *  b,
int  ldb,
float *  beta,
float *  c,
int  ldc 
)

References bli_is_conjtrans(), bli_param_map_to_netlib_trans(), bli_param_map_to_netlib_uplo(), cblas_ssyr2k(), CblasColMajor, and F77_ssyr2k().

Referenced by bli_ssyr2k().

{
    // BLAS doesn't recognize the conjugate-transposition constant for syr2k,
    // so we have to map it down to regular transposition.
    if ( bli_is_conjtrans( trans ) ) trans = BLIS_TRANSPOSE;

#ifdef BLIS_ENABLE_CBLAS_INTERFACES
    enum CBLAS_ORDER     cblas_order = CblasColMajor;
    enum CBLAS_UPLO      cblas_uplo;
    enum CBLAS_TRANSPOSE cblas_trans;

    bli_param_map_to_netlib_uplo( uplo, &cblas_uplo );
    bli_param_map_to_netlib_trans( trans, &cblas_trans );

    cblas_ssyr2k( cblas_order,
                  cblas_uplo,
                  cblas_trans,
                  m,
                  k,
                  *alpha,
                  a, lda,
                  b, ldb,
                  *beta,
                  c, ldc );
#else
    char blas_uplo;
    char blas_trans;

    bli_param_map_to_netlib_uplo( uplo, &blas_uplo );
    bli_param_map_to_netlib_trans( trans, &blas_trans );

    F77_ssyr2k( &blas_uplo,
                &blas_trans,
                &m,
                &k,
                alpha,
                a, &lda,
                b, &ldb,
                beta,
                c, &ldc );
#endif
}
void bli_zsyr2k ( char  uplo,
char  trans,
int  m,
int  k,
dcomplex alpha,
dcomplex a,
int  a_rs,
int  a_cs,
dcomplex b,
int  b_rs,
int  b_cs,
dcomplex beta,
dcomplex c,
int  c_rs,
int  c_cs 
)

References bli_does_trans(), bli_is_col_storage(), bli_zallocm(), bli_zcopymt(), bli_zcreate_contigmr(), bli_zcreate_contigmt(), bli_zero_dim2(), bli_zfree(), bli_zfree_contigm(), bli_zfree_saved_contigmr(), and bli_zsyr2k_blas().

Referenced by FLA_Syr2k_external().

{
    char      uplo_save = uplo;
    int       m_save    = m;
    dcomplex* a_save    = a;
    dcomplex* b_save    = b;
    dcomplex* c_save    = c;
    int       a_rs_save = a_rs;
    int       a_cs_save = a_cs;
    int       b_rs_save = b_rs;
    int       b_cs_save = b_cs;
    int       c_rs_save = c_rs;
    int       c_cs_save = c_cs;
    dcomplex* a_copy;
    dcomplex* b_copy;
    int       lda, inca;
    int       ldb, incb;
    int       ldc, incc;
    int       lda_copy, inca_copy;
    int       ldb_copy, incb_copy;
    int       syr2k_needs_copya = FALSE;
    int       syr2k_needs_copyb = FALSE;

    // Return early if possible.
    if ( bli_zero_dim2( m, k ) ) return;

    // If necessary, allocate, initialize, and use a temporary contiguous
    // copy of each matrix rather than the original matrices.
    bli_zcreate_contigmt( trans,
                          m,
                          k,
                          a_save, a_rs_save, a_cs_save,
                          &a,     &a_rs,     &a_cs );

    bli_zcreate_contigmt( trans,
                          m,
                          k,
                          b_save, b_rs_save, b_cs_save,
                          &b,     &b_rs,     &b_cs );

    bli_zcreate_contigmr( uplo,
                          m,
                          m,
                          c_save, c_rs_save, c_cs_save,
                          &c,     &c_rs,     &c_cs );

    // Initialize with values assuming column-major storage.
    lda  = a_cs;
    inca = a_rs;
    ldb  = b_cs;
    incb = b_rs;
    ldc  = c_cs;
    incc = c_rs;

    // Adjust the parameters based on the storage of each matrix.
    if ( bli_is_col_storage( c_rs, c_cs ) )
    {
        if ( bli_is_col_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_c * B_r' + B_r * A_c'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                syr2k_needs_copyb = TRUE;
            }
        }
        else // if ( bli_is_row_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_r * B_c' + B_c * A_r'
                // requested operation: uplo( C_c ) += A_c * B_c' + B_c * A_c'
                syr2k_needs_copya = TRUE;
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation: uplo( C_c ) += A_r * B_r' + B_r * A_r'
                // requested operation: uplo( C_c ) += conj( A_c' * B_c + B_c' * A_c )
                bli_swap_ints( lda, inca );
                bli_swap_ints( ldb, incb );

                bli_toggle_trans( trans );
            }
        }
    }
    else // if ( bli_is_row_storage( c_rs, c_cs ) )
    {
        if ( bli_is_col_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_c * B_c' + B_c * A_c'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_c * B_r' + B_r * A_c'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                syr2k_needs_copyb = TRUE;

                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
        }
        else // if ( bli_is_row_storage( a_rs, a_cs ) )
        {
            if ( bli_is_col_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_r * B_c' + B_c * A_r'
                // requested operation: ~uplo( C_c ) += conj( A_c * B_c' + B_c * A_c' )
                syr2k_needs_copya = TRUE;

                bli_swap_ints( ldc, incc );

                bli_toggle_uplo( uplo );
            }
            else // if ( bli_is_row_storage( b_rs, b_cs ) )
            {
                // requested operation:  uplo( C_r ) += A_r * B_r' + B_r * A_r'
                // requested operation: ~uplo( C_c ) += A_c' * B_c + B_c' * A_c
                bli_swap_ints( ldc, incc );
                bli_swap_ints( lda, inca );
                bli_swap_ints( ldb, incb );

                bli_toggle_uplo( uplo );
                bli_toggle_trans( trans );
            }
        }
    }

    a_copy    = a;
    lda_copy  = lda;
    inca_copy = inca;
    
    // There are two cases where we need to copy A column-major storage.
    // We handle those two cases here.
    if ( syr2k_needs_copya )
    {
        int m_a;
        int n_a;

        // Determine the dimensions of A according to the value of trans. We
        // need this in order to set the leading dimension of the copy of A.
        if ( bli_does_trans( trans ) ) { m_a = k; n_a = m; }
        else                           { m_a = m; n_a = k; }

        // We need a temporary matrix to hold a column-major copy of A.
        a_copy    = bli_zallocm( m, k );
        lda_copy  = m_a;
        inca_copy = 1;

        // Copy the contents of A into A_copy.
        bli_zcopymt( BLIS_NO_TRANSPOSE,
                     m_a,
                     n_a,
                     a,      inca,      lda,
                     a_copy, inca_copy, lda_copy );
    }
    
    b_copy    = b;
    ldb_copy  = ldb;
    incb_copy = incb;

    // There are two cases where we need to copy B column-major storage.
    // We handle those two cases here.
    if ( syr2k_needs_copyb )
    {
        int m_b;
        int n_b;

        // Determine the dimensions of B according to the value of trans. We
        // need this in order to set the leading dimension of the copy of B.
        if ( bli_does_trans( trans ) ) { m_b = k; n_b = m; }
        else                           { m_b = m; n_b = k; }

        // We need a temporary matrix to hold a column-major copy of B.
        b_copy    = bli_zallocm( m, k );
        ldb_copy  = m_b;
        incb_copy = 1;

        // Copy the contents of B into B_copy.
        bli_zcopymt( BLIS_NO_TRANSPOSE,
                     m_b,
                     n_b,
                     b,      incb,      ldb,
                     b_copy, incb_copy, ldb_copy );
    }

    bli_zsyr2k_blas( uplo,
                     trans,
                     m,
                     k,
                     alpha,
                     a_copy, lda_copy,
                     b_copy, ldb_copy,
                     beta,
                     c, ldc );

    if ( syr2k_needs_copya )
        bli_zfree( a_copy );

    if ( syr2k_needs_copyb )
        bli_zfree( b_copy );

    // Free any temporary contiguous matrices, copying the result back to
    // the original matrix.
    bli_zfree_contigm( a_save, a_rs_save, a_cs_save,
                       &a,     &a_rs,     &a_cs );

    bli_zfree_contigm( b_save, b_rs_save, b_cs_save,
                       &b,     &b_rs,     &b_cs );

    bli_zfree_saved_contigmr( uplo_save,
                              m_save,
                              m_save,
                              c_save, c_rs_save, c_cs_save,
                              &c,     &c_rs,     &c_cs );
}
void bli_zsyr2k_blas ( char  uplo,
char  trans,
int  m,
int  k,
dcomplex alpha,
dcomplex a,
int  lda,
dcomplex b,
int  ldb,
dcomplex beta,
dcomplex c,
int  ldc 
)

References bli_is_conjtrans(), bli_param_map_to_netlib_trans(), bli_param_map_to_netlib_uplo(), cblas_zsyr2k(), CblasColMajor, and F77_zsyr2k().

Referenced by bli_zsyr2k().

{
    // BLAS doesn't recognize the conjugate-transposition constant for syr2k,
    // so we have to map it down to regular transposition.
    if ( bli_is_conjtrans( trans ) ) trans = BLIS_TRANSPOSE;

#ifdef BLIS_ENABLE_CBLAS_INTERFACES
    enum CBLAS_ORDER     cblas_order = CblasColMajor;
    enum CBLAS_UPLO      cblas_uplo;
    enum CBLAS_TRANSPOSE cblas_trans;

    bli_param_map_to_netlib_uplo( uplo, &cblas_uplo );
    bli_param_map_to_netlib_trans( trans, &cblas_trans );

    cblas_zsyr2k( cblas_order,
                  cblas_uplo,
                  cblas_trans,
                  m,
                  k,
                  alpha,
                  a, lda,
                  b, ldb,
                  beta,
                  c, ldc );
#else
    char blas_uplo;
    char blas_trans;

    bli_param_map_to_netlib_uplo( uplo, &blas_uplo );
    bli_param_map_to_netlib_trans( trans, &blas_trans );

    F77_zsyr2k( &blas_uplo,
                &blas_trans,
                &m,
                &k,
                alpha,
                a, &lda,
                b, &ldb,
                beta,
                c, &ldc );
#endif
}