libflame  12600
Functions
FLA_Hemm_ll.h File Reference

(r12600)

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Functions

FLA_Error FLA_Hemm_ll_blk_var1 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_hemm_t *cntl)
FLA_Error FLA_Hemm_ll_blk_var2 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_hemm_t *cntl)
FLA_Error FLA_Hemm_ll_blk_var3 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_hemm_t *cntl)
FLA_Error FLA_Hemm_ll_blk_var4 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_hemm_t *cntl)
FLA_Error FLA_Hemm_ll_blk_var5 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_hemm_t *cntl)
FLA_Error FLA_Hemm_ll_blk_var6 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_hemm_t *cntl)
FLA_Error FLA_Hemm_ll_blk_var7 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_hemm_t *cntl)
FLA_Error FLA_Hemm_ll_blk_var8 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_hemm_t *cntl)
FLA_Error FLA_Hemm_ll_blk_var9 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_hemm_t *cntl)
FLA_Error FLA_Hemm_ll_blk_var10 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_hemm_t *cntl)
FLA_Error FLA_Hemm_ll_unb_var1 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Hemm_ll_unb_var2 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Hemm_ll_unb_var3 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Hemm_ll_unb_var4 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Hemm_ll_unb_var5 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Hemm_ll_unb_var6 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Hemm_ll_unb_var7 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Hemm_ll_unb_var8 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Hemm_ll_unb_var9 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Hemm_ll_unb_var10 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)

Function Documentation

FLA_Error FLA_Hemm_ll_blk_var1 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_hemm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_internal().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  FLA_Obj CT,              C0,
          CB,              C1,
                           C2;

  dim_t b;

  FLA_Scal_internal( beta, C,
                     FLA_Cntl_sub_scal( cntl ) );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_TOP );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_TOP );

  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 );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                        /* ** */            /* ** */
                                              &B1, 
                           BB,                &B2,        b, FLA_BOTTOM );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                        /* ** */            /* ** */
                                              &C1, 
                           CB,                &C2,        b, FLA_BOTTOM );

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

    /* C0 = C0 + A10' * B1 */
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A10, B1, FLA_ONE, C0,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C1 = C1 + A11 * B1 */
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       alpha, A11, B1, FLA_ONE, C1,
                       FLA_Cntl_sub_hemm( cntl ) );

    /* C1 = C1 + A10 * B0 */
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A10, B0, FLA_ONE, C1,
                       FLA_Cntl_sub_gemm2( cntl ) );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                                                  B1, 
                            /* ** */           /* ** */
                              &BB,                B2,     FLA_TOP );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                                                  C1, 
                            /* ** */           /* ** */
                              &CB,                C2,     FLA_TOP );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_blk_var10 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_hemm_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Determine_blocksize(), FLA_Hemm_internal(), FLA_Obj_width(), FLA_Part_1x2(), and FLA_Repart_1x2_to_1x3().

Referenced by FLA_Hemm_ll().

{
  FLA_Obj BL,    BR,       B0,  B1,  B2;

  FLA_Obj CL,    CR,       C0,  C1,  C2;

  dim_t b;

  FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_RIGHT );

  FLA_Part_1x2( C,    &CL,  &CR,      0, FLA_RIGHT );

  while ( FLA_Obj_width( BR ) < FLA_Obj_width( B ) ){

    b = FLA_Determine_blocksize( BL, FLA_LEFT, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &B1, /**/ &B2,
                           b, FLA_LEFT );

    FLA_Repart_1x2_to_1x3( CL,  /**/ CR,        &C0, &C1, /**/ &C2,
                           b, FLA_LEFT );

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

    /* C1 = C1 + A * B1 */
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       alpha, A, B1, beta, C1,
                       FLA_Cntl_sub_hemm( cntl ) );

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

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ B1, B2,
                              FLA_RIGHT );

    FLA_Cont_with_1x3_to_1x2( &CL,  /**/ &CR,        C0, /**/ C1, C2,
                              FLA_RIGHT );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_blk_var2 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_hemm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_internal().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  FLA_Obj CT,              C0,
          CB,              C1,
                           C2;

  dim_t b;

  FLA_Scal_internal( beta, C,
                     FLA_Cntl_sub_scal( cntl ) );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_TOP );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_TOP );

  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 );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                        /* ** */            /* ** */
                                              &B1, 
                           BB,                &B2,        b, FLA_BOTTOM );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                        /* ** */            /* ** */
                                              &C1, 
                           CB,                &C2,        b, FLA_BOTTOM );

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

    /* C1 = C1 + A11 * B1 */
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       alpha, A11, B1, FLA_ONE, C1,
                       FLA_Cntl_sub_hemm( cntl ) );

    /* C1 = C1 + A10 * B0 */
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A10, B0, FLA_ONE, C1,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C1 = C1 + A21' * B2 */
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A21, B2, FLA_ONE, C1,
                       FLA_Cntl_sub_gemm2( cntl ) );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                                                  B1, 
                            /* ** */           /* ** */
                              &BB,                B2,     FLA_TOP );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                                                  C1, 
                            /* ** */           /* ** */
                              &CB,                C2,     FLA_TOP );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_blk_var3 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_hemm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_internal().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  FLA_Obj CT,              C0,
          CB,              C1,
                           C2;

  dim_t b;

  FLA_Scal_internal( beta, C,
                     FLA_Cntl_sub_scal( cntl ) );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_TOP );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_TOP );

  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 );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                        /* ** */            /* ** */
                                              &B1, 
                           BB,                &B2,        b, FLA_BOTTOM );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                        /* ** */            /* ** */
                                              &C1, 
                           CB,                &C2,        b, FLA_BOTTOM );

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

    /* C1 = C1 + A11 * B1 */
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       alpha, A11, B1, FLA_ONE, C1,
                       FLA_Cntl_sub_hemm( cntl ) );

    /* C1 = C1 + A21' * B2 */
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A21, B2, FLA_ONE, C1,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C2 = C2 + A21 * B1 */
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A21, B1, FLA_ONE, C2,
                       FLA_Cntl_sub_gemm2( cntl ) );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                                                  B1, 
                            /* ** */           /* ** */
                              &BB,                B2,     FLA_TOP );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                                                  C1, 
                            /* ** */           /* ** */
                              &CB,                C2,     FLA_TOP );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_blk_var4 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_hemm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_internal().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  FLA_Obj CT,              C0,
          CB,              C1,
                           C2;

  dim_t b;

  FLA_Scal_internal( beta, C,
                     FLA_Cntl_sub_scal( cntl ) );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_TOP );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_TOP );

  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 );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                        /* ** */            /* ** */
                                              &B1, 
                           BB,                &B2,        b, FLA_BOTTOM );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                        /* ** */            /* ** */
                                              &C1, 
                           CB,                &C2,        b, FLA_BOTTOM );

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

    /* C0 = C0 + A10' * B1 */
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A10, B1, FLA_ONE, C0,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C1 = C1 + A11 * B1 */
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       alpha, A11, B1, FLA_ONE, C1,
                       FLA_Cntl_sub_hemm( cntl ) );

    /* C2 = C2 + A21 * B1 */
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A21, B1, FLA_ONE, C2,
                       FLA_Cntl_sub_gemm2( cntl ) );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                                                  B1, 
                            /* ** */           /* ** */
                              &BB,                B2,     FLA_TOP );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                                                  C1, 
                            /* ** */           /* ** */
                              &CB,                C2,     FLA_TOP );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_blk_var5 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_hemm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_internal().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  FLA_Obj CT,              C0,
          CB,              C1,
                           C2;

  dim_t b;

  FLA_Scal_internal( beta, C,
                     FLA_Cntl_sub_scal( cntl ) );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ATL, FLA_TL, 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_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &B1, 
                        /* ** */            /* ** */
                           BB,                &B2,        b, FLA_TOP );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                                              &C1, 
                        /* ** */            /* ** */
                           CB,                &C2,        b, FLA_TOP );

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

    /* C1 = C1 + A11 * B1 */
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       alpha, A11, B1, FLA_ONE, C1,
                       FLA_Cntl_sub_hemm( cntl ) );

    /* C1 = C1 + A21' * B2 */
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A21, B2, FLA_ONE, C1,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C2 = C2 + A21 * B1 */
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A21, B1, FLA_ONE, C2,
                       FLA_Cntl_sub_gemm2( cntl ) );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* ** */
                                                  B1, 
                              &BB,                B2,     FLA_BOTTOM );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                            /* ** */           /* ** */
                                                  C1, 
                              &CB,                C2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_blk_var6 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_hemm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_internal().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  FLA_Obj CT,              C0,
          CB,              C1,
                           C2;

  dim_t b;

  FLA_Scal_internal( beta, C,
                     FLA_Cntl_sub_scal( cntl ) );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ATL, FLA_TL, 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_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &B1, 
                        /* ** */            /* ** */
                           BB,                &B2,        b, FLA_TOP );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                                              &C1, 
                        /* ** */            /* ** */
                           CB,                &C2,        b, FLA_TOP );

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

    /* C1 = C1 + A10 * B0 */
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A10, B0, FLA_ONE, C1,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C1 = C1 + A11 * B1 */
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       alpha, A11, B1, FLA_ONE, C1,
                       FLA_Cntl_sub_hemm( cntl ) );

    /* C1 = C1 + A21' * B2 */
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A21, B2, FLA_ONE, C1,
                       FLA_Cntl_sub_gemm2( cntl ) );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* ** */
                                                  B1, 
                              &BB,                B2,     FLA_BOTTOM );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                            /* ** */           /* ** */
                                                  C1, 
                              &CB,                C2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_blk_var7 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_hemm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_internal().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  FLA_Obj CT,              C0,
          CB,              C1,
                           C2;

  dim_t b;

  FLA_Scal_internal( beta, C,
                     FLA_Cntl_sub_scal( cntl ) );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ATL, FLA_TL, 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_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &B1, 
                        /* ** */            /* ** */
                           BB,                &B2,        b, FLA_TOP );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                                              &C1, 
                        /* ** */            /* ** */
                           CB,                &C2,        b, FLA_TOP );

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

    /* C0 = C0 + A10' * B1 */
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A10, B1, FLA_ONE, C0,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C1 = C1 + A10 * B0 */
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A10, B0, FLA_ONE, C1,
                       FLA_Cntl_sub_gemm2( cntl ) );

    /* C1 = C1 + A11 * B1 */
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       alpha, A11, B1, FLA_ONE, C1,
                       FLA_Cntl_sub_hemm( cntl ) );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* ** */
                                                  B1, 
                              &BB,                B2,     FLA_BOTTOM );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                            /* ** */           /* ** */
                                                  C1, 
                              &CB,                C2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_blk_var8 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_hemm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_internal().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  FLA_Obj CT,              C0,
          CB,              C1,
                           C2;

  dim_t b;

  FLA_Scal_internal( beta, C,
                     FLA_Cntl_sub_scal( cntl ) );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ATL, FLA_TL, 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_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &B1, 
                        /* ** */            /* ** */
                           BB,                &B2,        b, FLA_TOP );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                                              &C1, 
                        /* ** */            /* ** */
                           CB,                &C2,        b, FLA_TOP );

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

    /* C0 = C0 + A10' * B1 */
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A10, B1, FLA_ONE, C0,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C1 = C1 + A11 * B1 */
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       alpha, A11, B1, FLA_ONE, C1,
                       FLA_Cntl_sub_hemm( cntl ) );

    /* C2 = C2 + A21 * B1 */
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A21, B1, FLA_ONE, C2,
                       FLA_Cntl_sub_gemm2( cntl ) );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* ** */
                                                  B1, 
                              &BB,                B2,     FLA_BOTTOM );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                            /* ** */           /* ** */
                                                  C1, 
                              &CB,                C2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_blk_var9 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_hemm_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Determine_blocksize(), FLA_Hemm_internal(), FLA_Obj_width(), FLA_Part_1x2(), and FLA_Repart_1x2_to_1x3().

Referenced by FLA_Hemm_ll().

{
  FLA_Obj BL,    BR,       B0,  B1,  B2;

  FLA_Obj CL,    CR,       C0,  C1,  C2;

  dim_t b;

  FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_LEFT );

  FLA_Part_1x2( C,    &CL,  &CR,      0, FLA_LEFT );

  while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){

    b = FLA_Determine_blocksize( BR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &B1, &B2,
                           b, FLA_RIGHT );

    FLA_Repart_1x2_to_1x3( CL,  /**/ CR,        &C0, /**/ &C1, &C2,
                           b, FLA_RIGHT );

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

    /* C1 = C1 + A * B1 */
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       alpha, A, B1, beta, C1,
                       FLA_Cntl_sub_hemm( cntl ) );

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

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, B1, /**/ B2,
                              FLA_LEFT );

    FLA_Cont_with_1x3_to_1x2( &CL,  /**/ &CR,        C0, C1, /**/ C2,
                              FLA_LEFT );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_unb_var1 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Axpys_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gemv_external(), FLA_Gerc_external(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Obj CT,              C0,
          CB,              c1t,
                           C2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_TOP );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_TOP );

  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 );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                        /* ** */            /* ** */
                                              &b1t, 
                           BB,                &B2,        1, FLA_BOTTOM );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                        /* ** */            /* ** */
                                              &c1t, 
                           CB,                &C2,        1, FLA_BOTTOM );

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

    /* C0 = C0 + a10t' * b1t */
    FLA_Gerc_external( FLA_CONJUGATE, FLA_NO_CONJUGATE, alpha, a10t, b1t, C0 );

    /* c1t  = c1t  + a10t * B0    */
    /* c1t' = c1t' + B0'  * a10t' */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B0, a10t, FLA_ONE, c1t );

    /* c1t = c1t + alpha11 * b1t */
    FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                                                  b1t, 
                            /* ** */           /* ** */
                              &BB,                B2,     FLA_TOP );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                                                  c1t, 
                            /* ** */           /* ** */
                              &CB,                C2,     FLA_TOP );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_unb_var10 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Hemv_external(), FLA_Obj_width(), FLA_Part_1x2(), and FLA_Repart_1x2_to_1x3().

Referenced by FLA_Hemm_ll().

{
  FLA_Obj BL,    BR,       B0,  b1t,  B2;

  FLA_Obj CL,    CR,       C0,  c1t,  C2;

  FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_RIGHT );

  FLA_Part_1x2( C,    &CL,  &CR,      0, FLA_RIGHT );

  while ( FLA_Obj_width( BR ) < FLA_Obj_width( B ) ){

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &b1t, /**/ &B2,
                           1, FLA_LEFT );

    FLA_Repart_1x2_to_1x3( CL,  /**/ CR,        &C0, &c1t, /**/ &C2,
                           1, FLA_LEFT );

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

    /* c1t = c1t + A * b1t */
    FLA_Hemv_external( FLA_LOWER_TRIANGULAR, alpha, A, b1t, beta, c1t );

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

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ b1t, B2,
                              FLA_RIGHT );

    FLA_Cont_with_1x3_to_1x2( &CL,  /**/ &CR,        C0, /**/ c1t, C2,
                              FLA_RIGHT );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_unb_var2 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Axpys_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gemv_external(), FLA_Gemvc_external(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Obj CT,              C0,
          CB,              c1t,
                           C2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_TOP );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_TOP );

  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 );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                        /* ** */            /* ** */
                                              &b1t, 
                           BB,                &B2,        1, FLA_BOTTOM );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                        /* ** */            /* ** */
                                              &c1t, 
                           CB,                &C2,        1, FLA_BOTTOM );

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

    /* c1t  = c1t  + a10t * B0    */
    /* c1t' = c1t' + B0'  * a10t' */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B0, a10t, FLA_ONE, c1t );

    /* c1t  = c1t  + a21' * B2  */
    /* c1t' = c1t' + B2'  * a21 */
    FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, alpha, B2, a21, FLA_ONE, c1t );

    /* c1t = c1t + alpha11 * b1t */
    FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                                                  b1t, 
                            /* ** */           /* ** */
                              &BB,                B2,     FLA_TOP );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                                                  c1t, 
                            /* ** */           /* ** */
                              &CB,                C2,     FLA_TOP );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_unb_var3 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Axpys_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gemvc_external(), FLA_Ger_external(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Obj CT,              C0,
          CB,              c1t,
                           C2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_TOP );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_TOP );

  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 );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                        /* ** */            /* ** */
                                              &b1t, 
                           BB,                &B2,        1, FLA_BOTTOM );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                        /* ** */            /* ** */
                                              &c1t, 
                           CB,                &C2,        1, FLA_BOTTOM );

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

    /* c1t = c1t + alpha11 * b1t */
    FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );

    /* c1t  = c1t  + a21' * B2 */
    /* c1t' = c1t' + B2' * a21 */
    FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, alpha, B2, a21, FLA_ONE, c1t );

    /* C2 = C2 + a21 * b1t */
    FLA_Ger_external( alpha, a21, b1t, C2 );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                                                  b1t, 
                            /* ** */           /* ** */
                              &BB,                B2,     FLA_TOP );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                                                  c1t, 
                            /* ** */           /* ** */
                              &CB,                C2,     FLA_TOP );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_unb_var4 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Axpys_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Ger_external(), FLA_Gerc_external(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Obj CT,              C0,
          CB,              c1t,
                           C2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_TOP );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_TOP );

  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 );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                        /* ** */            /* ** */
                                              &b1t, 
                           BB,                &B2,        1, FLA_BOTTOM );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                        /* ** */            /* ** */
                                              &c1t, 
                           CB,                &C2,        1, FLA_BOTTOM );

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

    /* C0 = C0 + a10t' * b1t */
    FLA_Gerc_external( FLA_CONJUGATE, FLA_NO_CONJUGATE, alpha, a10t, b1t, C0 );

    /* c1t = c1t + alpha11 * b1t */
    FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );

    /* C2 = C2 + a21 * b1t */
    FLA_Ger_external( alpha, a21, b1t, C2 );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                                                  b1t, 
                            /* ** */           /* ** */
                              &BB,                B2,     FLA_TOP );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                                                  c1t, 
                            /* ** */           /* ** */
                              &CB,                C2,     FLA_TOP );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_unb_var5 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Axpys_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gemvc_external(), FLA_Ger_external(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Obj CT,              C0,
          CB,              c1t,
                           C2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < 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_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &b1t, 
                        /* ** */            /* ** */
                           BB,                &B2,        1, FLA_TOP );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                                              &c1t, 
                        /* ** */            /* ** */
                           CB,                &C2,        1, FLA_TOP );

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

    /* c1t = c1t + alpha11 * b1t */
    FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );

    /* c1t  = c1t  + a21' * B2 */
    /* c1t' = c1t' + B2' * a21 */
    FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, alpha, B2, a21, FLA_ONE, c1t );

    /* C2 = C2 + a21 * b1t */
    FLA_Ger_external( alpha, a21, b1t, C2 );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* ** */
                                                  b1t, 
                              &BB,                B2,     FLA_BOTTOM );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                            /* ** */           /* ** */
                                                  c1t, 
                              &CB,                C2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_unb_var6 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Axpys_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gemv_external(), FLA_Gemvc_external(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Obj CT,              C0,
          CB,              c1t,
                           C2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < 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_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &b1t, 
                        /* ** */            /* ** */
                           BB,                &B2,        1, FLA_TOP );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                                              &c1t, 
                        /* ** */            /* ** */
                           CB,                &C2,        1, FLA_TOP );

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

    /* c1t  = c1t  + a10t * B0    */
    /* c1t' = c1t' + B0'  * a10t' */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B0, a10t, FLA_ONE, c1t );

    /* c1t = c1t + alpha11 * b1t */
    FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );

    /* c1t  = c1t  + a21' * B2 */
    /* c1t' = c1t' + B2' * a21 */
    FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, alpha, B2, a21, FLA_ONE, c1t );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* ** */
                                                  b1t, 
                              &BB,                B2,     FLA_BOTTOM );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                            /* ** */           /* ** */
                                                  c1t, 
                              &CB,                C2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_unb_var7 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Axpys_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gemv_external(), FLA_Gerc_external(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Obj CT,              C0,
          CB,              c1t,
                           C2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < 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_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &b1t, 
                        /* ** */            /* ** */
                           BB,                &B2,        1, FLA_TOP );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                                              &c1t, 
                        /* ** */            /* ** */
                           CB,                &C2,        1, FLA_TOP );

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

    /* C0 = C0 + a10t' * b1t */
    FLA_Gerc_external( FLA_CONJUGATE, FLA_NO_CONJUGATE, alpha, a10t, b1t, C0 );

    /* c1t  = c1t  + a10t * B0    */
    /* c1t' = c1t' + B0'  * a10t' */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B0, a10t, FLA_ONE, c1t );

    /* c1t = c1t + alpha11 * b1t */
    FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* ** */
                                                  b1t, 
                              &BB,                B2,     FLA_BOTTOM );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                            /* ** */           /* ** */
                                                  c1t, 
                              &CB,                C2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_unb_var8 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Axpys_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Ger_external(), FLA_Gerc_external(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Hemm_ll().

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

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Obj CT,              C0,
          CB,              c1t,
                           C2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < 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_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &b1t, 
                        /* ** */            /* ** */
                           BB,                &B2,        1, FLA_TOP );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                                              &c1t, 
                        /* ** */            /* ** */
                           CB,                &C2,        1, FLA_TOP );

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

    /* C0 = C0 + a10t' * b1t */
    FLA_Gerc_external( FLA_CONJUGATE, FLA_NO_CONJUGATE, alpha, a10t, b1t, C0 );

    /* c1t = c1t + alpha11 * b1t */
    FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );

    /* C2 = C2 + a21 * b1t */
    FLA_Ger_external( alpha, a21, b1t, C2 );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* ** */
                                                  b1t, 
                              &BB,                B2,     FLA_BOTTOM );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                            /* ** */           /* ** */
                                                  c1t, 
                              &CB,                C2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_unb_var9 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Hemv_external(), FLA_Obj_width(), FLA_Part_1x2(), and FLA_Repart_1x2_to_1x3().

Referenced by FLA_Hemm_ll().

{
  FLA_Obj BL,    BR,       B0,  b1t,  B2;

  FLA_Obj CL,    CR,       C0,  c1t,  C2;

  FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_LEFT );

  FLA_Part_1x2( C,    &CL,  &CR,      0, FLA_LEFT );

  while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &b1t, &B2,
                           1, FLA_RIGHT );

    FLA_Repart_1x2_to_1x3( CL,  /**/ CR,        &C0, /**/ &c1t, &C2,
                           1, FLA_RIGHT );

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

    /* c1t = c1t + A * b1t */
    FLA_Hemv_external( FLA_LOWER_TRIANGULAR, alpha, A, b1t, beta, c1t );

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

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, b1t, /**/ B2,
                              FLA_LEFT );

    FLA_Cont_with_1x3_to_1x2( &CL,  /**/ &CR,        C0, c1t, /**/ C2,
                              FLA_LEFT );

  }

  return FLA_SUCCESS;
}