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Functions
FLA_Chol_l.h File Reference

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Functions

FLA_Error FLA_Chol_l_blk_var1 (FLA_Obj A, fla_chol_t *cntl)
FLA_Error FLA_Chol_l_blk_var2 (FLA_Obj A, fla_chol_t *cntl)
FLA_Error FLA_Chol_l_blk_var3 (FLA_Obj A, fla_chol_t *cntl)
FLA_Error FLA_Chol_l_unb_var1 (FLA_Obj A)
FLA_Error FLA_Chol_l_unb_var2 (FLA_Obj A)
FLA_Error FLA_Chol_l_unb_var3 (FLA_Obj A)
FLA_Error FLA_Chol_l_opt_var1 (FLA_Obj A)
FLA_Error FLA_Chol_l_ops_var1 (int mn_A, float *A, int rs_A, int cs_A)
FLA_Error FLA_Chol_l_opd_var1 (int mn_A, double *A, int rs_A, int cs_A)
FLA_Error FLA_Chol_l_opc_var1 (int mn_A, scomplex *A, int rs_A, int cs_A)
FLA_Error FLA_Chol_l_opz_var1 (int mn_A, dcomplex *A, int rs_A, int cs_A)
FLA_Error FLA_Chol_l_opt_var2 (FLA_Obj A)
FLA_Error FLA_Chol_l_ops_var2 (int mn_A, float *A, int rs_A, int cs_A)
FLA_Error FLA_Chol_l_opd_var2 (int mn_A, double *A, int rs_A, int cs_A)
FLA_Error FLA_Chol_l_opc_var2 (int mn_A, scomplex *A, int rs_A, int cs_A)
FLA_Error FLA_Chol_l_opz_var2 (int mn_A, dcomplex *A, int rs_A, int cs_A)
FLA_Error FLA_Chol_l_opt_var3 (FLA_Obj A)
FLA_Error FLA_Chol_l_ops_var3 (int mn_A, float *A, int rs_A, int cs_A)
FLA_Error FLA_Chol_l_opd_var3 (int mn_A, double *A, int rs_A, int cs_A)
FLA_Error FLA_Chol_l_opc_var3 (int mn_A, scomplex *A, int rs_A, int cs_A)
FLA_Error FLA_Chol_l_opz_var3 (int mn_A, dcomplex *A, int rs_A, int cs_A)

Function Documentation

FLA_Error FLA_Chol_l_blk_var1 ( FLA_Obj  A,
fla_chol_t cntl 
)

References FLA_Chol_internal(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Herk_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Trsm_internal().

Referenced by FLA_Chol_l().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  dim_t b;

  int value = 0;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    /*------------------------------------------------------------*/

    // A10 = A10 * inv( tril( A00 )' )
    FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, A00, A10,
                       FLA_Cntl_sub_trsm( cntl ) );

    // A11 = A11 - A10 * A10'
    FLA_Herk_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, A10, FLA_ONE, A11,
                       FLA_Cntl_sub_herk( cntl ) );

    // A11 = chol( A11 )
    value = FLA_Chol_internal( FLA_LOWER_TRIANGULAR, A11,
                               FLA_Cntl_sub_chol( cntl ) );

    if ( value != FLA_SUCCESS )
      return ( FLA_Obj_length( A00 ) + value );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );
  }

  return value;
}
FLA_Error FLA_Chol_l_blk_var2 ( FLA_Obj  A,
fla_chol_t cntl 
)

References FLA_Chol_internal(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Herk_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Trsm_internal().

Referenced by FLA_Chol_l().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  dim_t b;

  int value = 0;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    /*------------------------------------------------------------*/

    // A11 = A11 - A10 * A10'
    FLA_Herk_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, A10, FLA_ONE, A11,
                       FLA_Cntl_sub_herk( cntl ) );

    // A21 = A21 - A20 * A10'
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
                       FLA_MINUS_ONE, A20, A10, FLA_ONE, A21,
                       FLA_Cntl_sub_gemm( cntl ) );

    // A11 = chol( A11 )
    value = FLA_Chol_internal( FLA_LOWER_TRIANGULAR, A11,
                               FLA_Cntl_sub_chol( cntl ) );

    if ( value != FLA_SUCCESS )
      return ( FLA_Obj_length( A00 ) + value );

    // A21 = A21 * inv( tril( A11 )' )
    FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, A11, A21,
                       FLA_Cntl_sub_trsm( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );
  }

  return value;
}
FLA_Error FLA_Chol_l_blk_var3 ( FLA_Obj  A,
fla_chol_t cntl 
)

References FLA_Chol_internal(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Herk_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Trsm_internal().

Referenced by FLA_Chol_l().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  dim_t b;

  int value = 0;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    /*------------------------------------------------------------*/

    // A11 = chol( A11 )
    value = FLA_Chol_internal( FLA_LOWER_TRIANGULAR, A11,
                               FLA_Cntl_sub_chol( cntl ) );

    if ( value != FLA_SUCCESS )
      return ( FLA_Obj_length( A00 ) + value );

    // A21 = A21 * inv( tril( A11 )' )
    FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, A11, A21,
                       FLA_Cntl_sub_trsm( cntl ) );

    // A22 = A22 - A21 * A21'
    FLA_Herk_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, A21, FLA_ONE, A22,
                       FLA_Cntl_sub_herk( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );
  }

  return value;
}
FLA_Error FLA_Chol_l_opc_var1 ( int  mn_A,
scomplex A,
int  rs_A,
int  cs_A 
)

References bli_cdots(), bli_ctrsv(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_Chol_l_opt_var1().

{
  scomplex* buff_1  = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    scomplex* A00       = buff_A + (0  )*cs_A + (0  )*rs_A;
    scomplex* a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    scomplex* alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;

    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t );
    bli_ctrsv( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               mn_behind,
               A00, rs_A, cs_A,
               a10t, cs_A );

    // FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );
    bli_cdots( BLIS_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a10t, cs_A,
               buff_1,
               alpha11 );

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_csqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_opc_var2 ( int  mn_A,
scomplex A,
int  rs_A,
int  cs_A 
)

References bli_cdots(), bli_cgemv(), bli_cinvscalv(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_Chol_l_opt_var2().

{
  scomplex* buff_1  = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    scomplex* a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    scomplex* A20       = buff_A + (0  )*cs_A + (i+1)*rs_A;
    scomplex* alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;

    int       mn_ahead  = mn_A - i - 1;
    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );
    bli_cdots( BLIS_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a10t, cs_A,
               buff_1,
               alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A20, a10t, FLA_ONE, a21 );
    bli_cgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               mn_ahead,
               mn_behind,
               buff_m1,
               A20, rs_A, cs_A,
               a10t, cs_A,
               buff_1,
               a21, rs_A );

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_csqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_cinvscalv( BLIS_NO_CONJUGATE,
                   mn_ahead,
                   alpha11,
                   a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_opc_var3 ( int  mn_A,
scomplex A,
int  rs_A,
int  cs_A 
)

References bli_cher(), bli_cinvscalv(), and FLA_MINUS_ONE.

Referenced by FLA_Chol_l_opt_var3().

{
  float*    buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    scomplex* alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;
    scomplex* A22       = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    int       mn_ahead  = mn_A - i - 1;
    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_csqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_cinvscalv( BLIS_NO_CONJUGATE,
                   mn_ahead,
                   alpha11,
                   a21, rs_A );

    // FLA_Her_external( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, A22 );
    bli_cher( BLIS_LOWER_TRIANGULAR,
              BLIS_NO_CONJUGATE,
              mn_ahead,
              buff_m1,
              a21, rs_A,
              A22, rs_A, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_opd_var1 ( int  mn_A,
double *  A,
int  rs_A,
int  cs_A 
)

References bli_ddots(), bli_dtrsv(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_Chol_l_opt_var1().

{
  double*   buff_1  = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    double*   A00       = buff_A + (0  )*cs_A + (0  )*rs_A;
    double*   a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    double*   alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;

    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t );
    bli_dtrsv( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               mn_behind,
               A00, rs_A, cs_A,
               a10t, cs_A );

    // FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );
    bli_ddots( BLIS_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a10t, cs_A,
               buff_1,
               alpha11 );

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_dsqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_opd_var2 ( int  mn_A,
double *  A,
int  rs_A,
int  cs_A 
)

References bli_ddots(), bli_dgemv(), bli_dinvscalv(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_Chol_l_opt_var2().

{
  double*   buff_1  = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    double*   a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    double*   A20       = buff_A + (0  )*cs_A + (i+1)*rs_A;
    double*   alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;

    int       mn_ahead  = mn_A - i - 1;
    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );
    bli_ddots( BLIS_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a10t, cs_A,
               buff_1,
               alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A20, a10t, FLA_ONE, a21 );
    bli_dgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               mn_ahead,
               mn_behind,
               buff_m1,
               A20, rs_A, cs_A,
               a10t, cs_A,
               buff_1,
               a21, rs_A );

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_dsqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_dinvscalv( BLIS_NO_CONJUGATE,
                   mn_ahead,
                   alpha11,
                   a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_opd_var3 ( int  mn_A,
double *  A,
int  rs_A,
int  cs_A 
)

References bli_dinvscalv(), bli_dsyr(), and FLA_MINUS_ONE.

Referenced by FLA_Chol_l_opt_var3().

{
  double*   buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    double*   alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;
    double*   A22       = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    int       mn_ahead  = mn_A - i - 1;
    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_dsqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_dinvscalv( BLIS_NO_CONJUGATE,
                   mn_ahead,
                   alpha11,
                   a21, rs_A );

    // FLA_Her_external( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, A22 );
    bli_dsyr( BLIS_LOWER_TRIANGULAR,
              mn_ahead,
              buff_m1,
              a21, rs_A,
              A22, rs_A, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_ops_var1 ( int  mn_A,
float *  A,
int  rs_A,
int  cs_A 
)

References bli_sdots(), bli_strsv(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_Chol_l_opt_var1().

{
  float*    buff_1  = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    float*    A00       = buff_A + (0  )*cs_A + (0  )*rs_A;
    float*    a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    float*    alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;

    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t );
    bli_strsv( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               mn_behind,
               A00, rs_A, cs_A,
               a10t, cs_A );

    // FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );
    bli_sdots( BLIS_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a10t, cs_A,
               buff_1,
               alpha11 );

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_ssqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_ops_var2 ( int  mn_A,
float *  A,
int  rs_A,
int  cs_A 
)

References bli_sdots(), bli_sgemv(), bli_sinvscalv(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_Chol_l_opt_var2().

{
  float*    buff_1  = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    float*    a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    float*    A20       = buff_A + (0  )*cs_A + (i+1)*rs_A;
    float*    alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;

    int       mn_ahead  = mn_A - i - 1;
    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );
    bli_sdots( BLIS_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a10t, cs_A,
               buff_1,
               alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A20, a10t, FLA_ONE, a21 );
    bli_sgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               mn_ahead,
               mn_behind,
               buff_m1,
               A20, rs_A, cs_A,
               a10t, cs_A,
               buff_1,
               a21, rs_A );

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_ssqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_sinvscalv( BLIS_NO_CONJUGATE,
                   mn_ahead,
                   alpha11,
                   a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_ops_var3 ( int  mn_A,
float *  A,
int  rs_A,
int  cs_A 
)

References bli_sinvscalv(), bli_ssyr(), and FLA_MINUS_ONE.

Referenced by FLA_Chol_l_opt_var3().

{
  float*    buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    float*    alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;
    float*    A22       = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    int       mn_ahead  = mn_A - i - 1;
    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_ssqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_sinvscalv( BLIS_NO_CONJUGATE,
                   mn_ahead,
                   alpha11,
                   a21, rs_A );

    // FLA_Her_external( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, A22 );
    bli_ssyr( BLIS_LOWER_TRIANGULAR,
              mn_ahead,
              buff_m1,
              a21, rs_A,
              A22, rs_A, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_opt_var1 ( FLA_Obj  A)

References FLA_Chol_l_opc_var1(), FLA_Chol_l_opd_var1(), FLA_Chol_l_ops_var1(), FLA_Chol_l_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), and FLA_Obj_row_stride().

Referenced by FLA_Chol_l().

{
  FLA_Datatype datatype;
  int          mn_A;
  int          rs_A, cs_A;

  datatype = FLA_Obj_datatype( A );

  mn_A     = FLA_Obj_length( A );
  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );
  

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );

      FLA_Chol_l_ops_var1( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );

      FLA_Chol_l_opd_var1( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );

      FLA_Chol_l_opc_var1( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );

      FLA_Chol_l_opz_var1( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_opt_var2 ( FLA_Obj  A)

References FLA_Chol_l_opc_var2(), FLA_Chol_l_opd_var2(), FLA_Chol_l_ops_var2(), FLA_Chol_l_opz_var2(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), and FLA_Obj_row_stride().

Referenced by FLA_Chol_l().

{
  FLA_Datatype datatype;
  int          mn_A;
  int          rs_A, cs_A;

  datatype = FLA_Obj_datatype( A );

  mn_A     = FLA_Obj_length( A );
  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );
  

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );

      FLA_Chol_l_ops_var2( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );

      FLA_Chol_l_opd_var2( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );

      FLA_Chol_l_opc_var2( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );

      FLA_Chol_l_opz_var2( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_opt_var3 ( FLA_Obj  A)

References FLA_Chol_l_opc_var3(), FLA_Chol_l_opd_var3(), FLA_Chol_l_ops_var3(), FLA_Chol_l_opz_var3(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), and FLA_Obj_row_stride().

Referenced by FLA_Chol_l().

{
  FLA_Datatype datatype;
  int          mn_A;
  int          rs_A, cs_A;

  datatype = FLA_Obj_datatype( A );

  mn_A     = FLA_Obj_length( A );
  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );
  

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );

      FLA_Chol_l_ops_var3( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );

      FLA_Chol_l_opd_var3( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );

      FLA_Chol_l_opc_var3( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );

      FLA_Chol_l_opz_var3( mn_A,
                           buff_A, rs_A, cs_A );

      break;
    }
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_opz_var1 ( int  mn_A,
dcomplex A,
int  rs_A,
int  cs_A 
)

References bli_zdots(), bli_ztrsv(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_Chol_l_opt_var1().

{
  dcomplex* buff_1  = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    dcomplex* A00       = buff_A + (0  )*cs_A + (0  )*rs_A;
    dcomplex* a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    dcomplex* alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;

    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t );
    bli_ztrsv( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               mn_behind,
               A00, rs_A, cs_A,
               a10t, cs_A );

    // FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );
    bli_zdots( BLIS_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a10t, cs_A,
               buff_1,
               alpha11 );

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_zsqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_opz_var2 ( int  mn_A,
dcomplex A,
int  rs_A,
int  cs_A 
)

References bli_zdots(), bli_zgemv(), bli_zinvscalv(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_Chol_l_opt_var2().

{
  dcomplex* buff_1  = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    dcomplex* a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    dcomplex* A20       = buff_A + (0  )*cs_A + (i+1)*rs_A;
    dcomplex* alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;

    int       mn_ahead  = mn_A - i - 1;
    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );
    bli_zdots( BLIS_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a10t, cs_A,
               buff_1,
               alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A20, a10t, FLA_ONE, a21 );
    bli_zgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               mn_ahead,
               mn_behind,
               buff_m1,
               A20, rs_A, cs_A,
               a10t, cs_A,
               buff_1,
               a21, rs_A );

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_zsqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_zinvscalv( BLIS_NO_CONJUGATE,
                   mn_ahead,
                   alpha11,
                   a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_opz_var3 ( int  mn_A,
dcomplex A,
int  rs_A,
int  cs_A 
)

References bli_zher(), bli_zinvscalv(), and FLA_MINUS_ONE.

Referenced by FLA_Chol_l_opt_var3().

{
  double*   buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  int       i;
  FLA_Error e_val;

  for ( i = 0; i < mn_A; ++i )
  {
    dcomplex* alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;
    dcomplex* A22       = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    int       mn_ahead  = mn_A - i - 1;
    int       mn_behind = i;

    /*------------------------------------------------------------*/

    // value = FLA_Sqrt( alpha11 );
    // if ( value != FLA_SUCCESS )
    //   return ( FLA_Obj_length( A00 ) + 1 );
    bli_zsqrte( alpha11, &e_val );
    if ( e_val != FLA_SUCCESS ) return mn_behind;

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_zinvscalv( BLIS_NO_CONJUGATE,
                   mn_ahead,
                   alpha11,
                   a21, rs_A );

    // FLA_Her_external( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, A22 );
    bli_zher( BLIS_LOWER_TRIANGULAR,
              BLIS_NO_CONJUGATE,
              mn_ahead,
              buff_m1,
              a21, rs_A,
              A22, rs_A, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Chol_l_unb_var1 ( FLA_Obj  A)

References FLA_Cont_with_3x3_to_2x2(), FLA_Dotcs_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Sqrt(), and FLA_Trsv_external().

Referenced by FLA_Chol_l().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02,
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  int value = 0;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    /*------------------------------------------------------------*/

    // a10t = a10t * inv( tril( A00 )' )
    // a10t' = inv( conj( tril( A00 ) ) ) * a10t'
    FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t );

    // alpha11 = alpha11 - a10t * a10t'
    FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );

    // alpha11 = sqrt( alpha11 )
    value = FLA_Sqrt( alpha11 );

    if ( value != FLA_SUCCESS )
      return ( FLA_Obj_length( A00 ) + 1 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );
  }

  return value;
}
FLA_Error FLA_Chol_l_unb_var2 ( FLA_Obj  A)

References FLA_Cont_with_3x3_to_2x2(), FLA_Dotcs_external(), FLA_Gemvc_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Sqrt().

Referenced by FLA_Chol_l().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02,
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  int value = 0;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    /*------------------------------------------------------------*/

    // alpha11 = alpha11 - a10t * a10t'
    FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );

    // a21 = a21 - A20 * a10t'
    FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A20, a10t, FLA_ONE, a21 );

    // alpha11 = sqrt( alpha11 )
    value = FLA_Sqrt( alpha11 );

    if ( value != FLA_SUCCESS )
      return ( FLA_Obj_length( A00 ) + 1 );

    // a21 = a21 / alpha11
    FLA_Inv_scal_external( alpha11, a21 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );
  }

  return value;
}
FLA_Error FLA_Chol_l_unb_var3 ( FLA_Obj  A)

References FLA_Cont_with_3x3_to_2x2(), FLA_Her_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Sqrt().

Referenced by FLA_Chol_l().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02,
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  int value = 0;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    /*------------------------------------------------------------*/

    // alpha11 = sqrt( alpha11 )
    value = FLA_Sqrt( alpha11 );

    if ( value != FLA_SUCCESS )
      return ( FLA_Obj_length( A00 ) + 1 );

    // a21 = a21 / alpha11
    FLA_Inv_scal_external( alpha11, a21 );

    // A22 = A22 - a21 * a21'
    FLA_Her_external( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, A22 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );
  }

  return value;
}