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Functions
FLA_Syr2k_lt.h File Reference

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Functions

FLA_Error FLA_Syr2k_lt_blk_var1 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_syr2k_t *cntl)
FLA_Error FLA_Syr2k_lt_blk_var2 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_syr2k_t *cntl)
FLA_Error FLA_Syr2k_lt_blk_var3 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_syr2k_t *cntl)
FLA_Error FLA_Syr2k_lt_blk_var4 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_syr2k_t *cntl)
FLA_Error FLA_Syr2k_lt_blk_var5 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_syr2k_t *cntl)
FLA_Error FLA_Syr2k_lt_blk_var6 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_syr2k_t *cntl)
FLA_Error FLA_Syr2k_lt_blk_var7 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_syr2k_t *cntl)
FLA_Error FLA_Syr2k_lt_blk_var8 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_syr2k_t *cntl)
FLA_Error FLA_Syr2k_lt_blk_var9 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_syr2k_t *cntl)
FLA_Error FLA_Syr2k_lt_blk_var10 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_syr2k_t *cntl)
FLA_Error FLA_Syr2k_lt_unb_var1 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Syr2k_lt_unb_var2 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Syr2k_lt_unb_var3 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Syr2k_lt_unb_var4 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Syr2k_lt_unb_var5 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Syr2k_lt_unb_var6 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Syr2k_lt_unb_var7 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Syr2k_lt_unb_var8 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Syr2k_lt_unb_var9 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)
FLA_Error FLA_Syr2k_lt_unb_var10 (FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C)

Function Documentation

FLA_Error FLA_Syr2k_lt_blk_var1 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_syr2k_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Scalr_internal(), and FLA_Syr2k_internal().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;

  FLA_Obj BL,    BR,       B0,  B1,  B2;

  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;

  dim_t b;

  FLA_Scalr_internal( FLA_LOWER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_LEFT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_TL );

  while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){

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

    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, /**/ &A1, &A2,
                           b, FLA_RIGHT );

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

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00, /**/ &C01, &C02,
                        /* ************* */   /* ******************** */
                                                &C10, /**/ &C11, &C12,
                           CBL, /**/ CBR,       &C20, /**/ &C21, &C22,
                           b, b, FLA_BR );

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

    /* C10 = C10 + A1' * B0 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A1, B0, FLA_ONE, C10,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C10 = C10 + B1' * A0 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, B1, A0, FLA_ONE, C10,
                       FLA_Cntl_sub_gemm2( cntl ) );

    /* C11 = C11 + A1' * B1 + B1' * A1 */
    FLA_Syr2k_internal( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, 
                        alpha, A1, B1, FLA_ONE, C11,
                        FLA_Cntl_sub_syr2k( cntl ) );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, A1, /**/ A2,
                              FLA_LEFT );

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

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, C01, /**/ C02,
                                                     C10, C11, /**/ C12,
                            /* ************** */  /* ****************** */
                              &CBL, /**/ &CBR,       C20, C21, /**/ C22,
                              FLA_TL );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_blk_var10 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_syr2k_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Determine_blocksize(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Repart_2x1_to_3x1(), FLA_Scalr_internal(), and FLA_Syr2k_internal().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AT,              A0,
          AB,              A1,
                           A2;

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  dim_t b;

  FLA_Scalr_internal( FLA_LOWER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );

  FLA_Part_2x1( A,    &AT, 
                      &AB,            0, FLA_BOTTOM );

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

  while ( FLA_Obj_length( AB ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( AT, FLA_TOP, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x1_to_3x1( AT,                &A0, 
                                              &A1, 
                        /* ** */            /* ** */
                           AB,                &A2,        b, FLA_TOP );

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

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

    /* C = C + A1' * B1 + B1' * A1 */
    FLA_Syr2k_internal( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, 
                        alpha, A1, B1, FLA_ONE, C,
                        FLA_Cntl_sub_syr2k( cntl ) );

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

    FLA_Cont_with_3x1_to_2x1( &AT,                A0, 
                            /* ** */           /* ** */
                                                  A1, 
                              &AB,                A2,     FLA_BOTTOM );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_blk_var2 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_syr2k_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Scalr_internal(), and FLA_Syr2k_internal().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;

  FLA_Obj BL,    BR,       B0,  B1,  B2;

  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;

  dim_t b;

  FLA_Scalr_internal( FLA_LOWER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_LEFT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_TL );

  while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){

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

    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, /**/ &A1, &A2,
                           b, FLA_RIGHT );

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

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00, /**/ &C01, &C02,
                        /* ************* */   /* ******************** */
                                                &C10, /**/ &C11, &C12,
                           CBL, /**/ CBR,       &C20, /**/ &C21, &C22,
                           b, b, FLA_BR );

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

    /* C10 = C10 + B1' * A0 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, B1, A0, FLA_ONE, C10,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C21 = C21 + A2' * B1 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A2, B1, FLA_ONE, C21,
                       FLA_Cntl_sub_gemm2( cntl ) );

    /* C11 = C11 + A1' * B1 + B1' * A1 */
    FLA_Syr2k_internal( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, 
                        alpha, A1, B1, FLA_ONE, C11,
                        FLA_Cntl_sub_syr2k( cntl ) );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, A1, /**/ A2,
                              FLA_LEFT );

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

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, C01, /**/ C02,
                                                     C10, C11, /**/ C12,
                            /* ************** */  /* ****************** */
                              &CBL, /**/ &CBR,       C20, C21, /**/ C22,
                              FLA_TL );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_blk_var3 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_syr2k_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Scalr_internal(), and FLA_Syr2k_internal().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;

  FLA_Obj BL,    BR,       B0,  B1,  B2;

  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;

  dim_t b;

  FLA_Scalr_internal( FLA_LOWER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_LEFT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_TL );

  while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){

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

    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, /**/ &A1, &A2,
                           b, FLA_RIGHT );

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

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00, /**/ &C01, &C02,
                        /* ************* */   /* ******************** */
                                                &C10, /**/ &C11, &C12,
                           CBL, /**/ CBR,       &C20, /**/ &C21, &C22,
                           b, b, FLA_BR );

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

    /* C10 = C10 + A1' * B0 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A1, B0, FLA_ONE, C10,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C21 = C21 + B2' * A1 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, B2, A1, FLA_ONE, C21,
                       FLA_Cntl_sub_gemm2( cntl ) );

    /* C11 = C11 + A1' * B1 + B1' * A1 */
    FLA_Syr2k_internal( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, 
                        alpha, A1, B1, FLA_ONE, C11,
                        FLA_Cntl_sub_syr2k( cntl ) );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, A1, /**/ A2,
                              FLA_LEFT );

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

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, C01, /**/ C02,
                                                     C10, C11, /**/ C12,
                            /* ************** */  /* ****************** */
                              &CBL, /**/ &CBR,       C20, C21, /**/ C22,
                              FLA_TL );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_blk_var4 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_syr2k_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Scalr_internal(), and FLA_Syr2k_internal().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;

  FLA_Obj BL,    BR,       B0,  B1,  B2;

  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;

  dim_t b;

  FLA_Scalr_internal( FLA_LOWER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_LEFT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_TL );

  while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){

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

    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, /**/ &A1, &A2,
                           b, FLA_RIGHT );

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

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00, /**/ &C01, &C02,
                        /* ************* */   /* ******************** */
                                                &C10, /**/ &C11, &C12,
                           CBL, /**/ CBR,       &C20, /**/ &C21, &C22,
                           b, b, FLA_BR );

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

    /* C21 = C21 + A2' * B1 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A2, B1, FLA_ONE, C21,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C21 = C21 + B2' * A1 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, B2, A1, FLA_ONE, C21,
                       FLA_Cntl_sub_gemm2( cntl ) );

    /* C11 = C11 + A1' * B1 + B1' * A1 */
    FLA_Syr2k_internal( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, 
                        alpha, A1, B1, FLA_ONE, C11,
                        FLA_Cntl_sub_syr2k( cntl ) );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, A1, /**/ A2,
                              FLA_LEFT );

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

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, C01, /**/ C02,
                                                     C10, C11, /**/ C12,
                            /* ************** */  /* ****************** */
                              &CBL, /**/ &CBR,       C20, C21, /**/ C22,
                              FLA_TL );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_blk_var5 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_syr2k_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Scalr_internal(), and FLA_Syr2k_internal().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;

  FLA_Obj BL,    BR,       B0,  B1,  B2;

  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;

  dim_t b;

  FLA_Scalr_internal( FLA_LOWER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_RIGHT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_BR );

  while ( FLA_Obj_width( AR ) < FLA_Obj_width( A ) ){

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

    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, &A1, /**/ &A2,
                           b, FLA_LEFT );

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

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00, &C01, /**/ &C02,
                                                &C10, &C11, /**/ &C12,
                        /* ************* */   /* ******************** */
                           CBL, /**/ CBR,       &C20, &C21, /**/ &C22,
                           b, b, FLA_TL );

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

    /* C21 = C21 + A2' * B1 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A2, B1, FLA_ONE, C21,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C21 = C21 + B2' * A1 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, B2, A1, FLA_ONE, C21,
                       FLA_Cntl_sub_gemm2( cntl ) );

    /* C11 = C11 + A1' * B1 + B1' * A1 */
    FLA_Syr2k_internal( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, 
                        alpha, A1, B1, FLA_ONE, C11,
                        FLA_Cntl_sub_syr2k( cntl ) );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ A1, A2,
                              FLA_RIGHT );

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

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
                            /* ************** */  /* ****************** */
                                                     C10, /**/ C11, C12,
                              &CBL, /**/ &CBR,       C20, /**/ C21, C22,
                              FLA_BR );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_blk_var6 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_syr2k_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Scalr_internal(), and FLA_Syr2k_internal().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;

  FLA_Obj BL,    BR,       B0,  B1,  B2;

  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;

  dim_t b;

  FLA_Scalr_internal( FLA_LOWER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_RIGHT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_BR );

  while ( FLA_Obj_width( AR ) < FLA_Obj_width( A ) ){

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

    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, &A1, /**/ &A2,
                           b, FLA_LEFT );

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

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00, &C01, /**/ &C02,
                                                &C10, &C11, /**/ &C12,
                        /* ************* */   /* ******************** */
                           CBL, /**/ CBR,       &C20, &C21, /**/ &C22,
                           b, b, FLA_TL );

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

    /* C10 = C10 + A1' * B0 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A1, B0, FLA_ONE, C10,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C21 = C21 + B2' * A1 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, B2, A1, FLA_ONE, C21,
                       FLA_Cntl_sub_gemm2( cntl ) );

    /* C11 = C11 + A1' * B1 + B1' * A1 */
    FLA_Syr2k_internal( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, 
                        alpha, A1, B1, FLA_ONE, C11,
                        FLA_Cntl_sub_syr2k( cntl ) );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ A1, A2,
                              FLA_RIGHT );

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

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
                            /* ************** */  /* ****************** */
                                                     C10, /**/ C11, C12,
                              &CBL, /**/ &CBR,       C20, /**/ C21, C22,
                              FLA_BR );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_blk_var7 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_syr2k_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Scalr_internal(), and FLA_Syr2k_internal().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;

  FLA_Obj BL,    BR,       B0,  B1,  B2;

  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;

  dim_t b;

  FLA_Scalr_internal( FLA_LOWER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_RIGHT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_BR );

  while ( FLA_Obj_width( AR ) < FLA_Obj_width( A ) ){

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

    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, &A1, /**/ &A2,
                           b, FLA_LEFT );

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

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00, &C01, /**/ &C02,
                                                &C10, &C11, /**/ &C12,
                        /* ************* */   /* ******************** */
                           CBL, /**/ CBR,       &C20, &C21, /**/ &C22,
                           b, b, FLA_TL );

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

    /* C10 = C10 + B1' * A0 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, B1, A0, FLA_ONE, C10,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C21 = C21 + A2' * B1 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A2, B1, FLA_ONE, C21,
                       FLA_Cntl_sub_gemm2( cntl ) );

    /* C11 = C11 + A1' * B1 + B1' * A1 */
    FLA_Syr2k_internal( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, 
                        alpha, A1, B1, FLA_ONE, C11,
                        FLA_Cntl_sub_syr2k( cntl ) );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ A1, A2,
                              FLA_RIGHT );

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

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
                            /* ************** */  /* ****************** */
                                                     C10, /**/ C11, C12,
                              &CBL, /**/ &CBR,       C20, /**/ C21, C22,
                              FLA_BR );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_blk_var8 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_syr2k_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Scalr_internal(), and FLA_Syr2k_internal().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;

  FLA_Obj BL,    BR,       B0,  B1,  B2;

  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;

  dim_t b;

  FLA_Scalr_internal( FLA_LOWER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_RIGHT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_BR );

  while ( FLA_Obj_width( AR ) < FLA_Obj_width( A ) ){

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

    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, &A1, /**/ &A2,
                           b, FLA_LEFT );

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

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00, &C01, /**/ &C02,
                                                &C10, &C11, /**/ &C12,
                        /* ************* */   /* ******************** */
                           CBL, /**/ CBR,       &C20, &C21, /**/ &C22,
                           b, b, FLA_TL );

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

    /* C10 = C10 + A1' * B0 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A1, B0, FLA_ONE, C10,
                       FLA_Cntl_sub_gemm1( cntl ) );

    /* C10 = C10 + B1' * A0 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, B1, A0, FLA_ONE, C10,
                       FLA_Cntl_sub_gemm2( cntl ) );

    /* C11 = C11 + A1' * B1 + B1' * A1 */
    FLA_Syr2k_internal( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, 
                        alpha, A1, B1, FLA_ONE, C11,
                        FLA_Cntl_sub_syr2k( cntl ) );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ A1, A2,
                              FLA_RIGHT );

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

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
                            /* ************** */  /* ****************** */
                                                     C10, /**/ C11, C12,
                              &CBL, /**/ &CBR,       C20, /**/ C21, C22,
                              FLA_BR );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_blk_var9 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C,
fla_syr2k_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Determine_blocksize(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Repart_2x1_to_3x1(), FLA_Scalr_internal(), and FLA_Syr2k_internal().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AT,              A0,
          AB,              A1,
                           A2;

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  dim_t b;

  FLA_Scalr_internal( FLA_LOWER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );

  FLA_Part_2x1( A,    &AT, 
                      &AB,            0, FLA_TOP );

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

  while ( FLA_Obj_length( AT ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( AB, FLA_BOTTOM, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x1_to_3x1( AT,                &A0, 
                        /* ** */            /* ** */
                                              &A1, 
                           AB,                &A2,        b, FLA_BOTTOM );

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

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

    /* C = C + A1' * B1 + B1' * A1 */             
    FLA_Syr2k_internal( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, 
                        alpha, A1, B1, FLA_ONE, C,
                        FLA_Cntl_sub_syr2k( cntl ) );

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

    FLA_Cont_with_3x1_to_2x1( &AT,                A0, 
                                                  A1, 
                            /* ** */           /* ** */
                              &AB,                A2,     FLA_TOP );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_unb_var1 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2s_external(), FLA_Gemv_external(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Scalr_external().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;

  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;


  FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_LEFT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_TL );

  while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){


    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, /**/ &a1, &A2,
                           1, FLA_RIGHT );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &b1, &B2,
                           1, FLA_RIGHT );

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00,  /**/ &c01,     &C02,
                        /* ************* */   /* ************************** */
                                                &c10t, /**/ &gamma11, &c12t,
                           CBL, /**/ CBR,       &C20,  /**/ &c21,     &C22,
                           1, 1, FLA_BR );

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

    /* c10t = c10t + a1' * B0 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B0, a1, FLA_ONE, c10t );

    /* c10t = c10t + b1' * A0 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A0, b1, FLA_ONE, c10t );

    /* gamma11 = gamma11 + a1' * b1 + b1' * a1 */
    FLA_Dot2s_external( alpha, a1, b1, FLA_ONE, gamma11 );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, a1, /**/ A2,
                              FLA_LEFT );

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, b1, /**/ B2,
                              FLA_LEFT );

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00,  c01,     /**/ C02,
                                                     c10t, gamma11, /**/ c12t,
                            /* ************** */  /* ************************ */
                              &CBL, /**/ &CBR,       C20,  c21,     /**/ C22,
                              FLA_TL );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_unb_var10 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Obj_length(), FLA_Part_2x1(), FLA_Repart_2x1_to_3x1(), FLA_Scalr_external(), and FLA_Syr2_external().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AT,              A0,
          AB,              a1t,
                           A2;

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C );

  FLA_Part_2x1( A,    &AT, 
                      &AB,            0, FLA_BOTTOM );

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

  while ( FLA_Obj_length( AB ) < FLA_Obj_length( A ) ){


    FLA_Repart_2x1_to_3x1( AT,                &A0, 
                                              &a1t, 
                        /* ** */            /* ** */
                           AB,                &A2,        1, FLA_TOP );

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

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

    /* C = C + a1t' * b1t + b1t' * a1t */
    FLA_Syr2_external( FLA_LOWER_TRIANGULAR, alpha, a1t, b1t, C );

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

    FLA_Cont_with_3x1_to_2x1( &AT,                A0, 
                            /* ** */           /* ** */
                                                  a1t, 
                              &AB,                A2,     FLA_BOTTOM );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_unb_var2 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2s_external(), FLA_Gemv_external(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Scalr_external().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;

  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;


  FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_LEFT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_TL );

  while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){


    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, /**/ &a1, &A2,
                           1, FLA_RIGHT );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &b1, &B2,
                           1, FLA_RIGHT );

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00,  /**/ &c01,     &C02,
                        /* ************* */   /* ************************** */
                                                &c10t, /**/ &gamma11, &c12t,
                           CBL, /**/ CBR,       &C20,  /**/ &c21,     &C22,
                           1, 1, FLA_BR );

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

    /* c10t = c10t + b1' * A0 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A0, b1, FLA_ONE, c10t );

    /* c21 = c21 + A2' * b1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A2, b1, FLA_ONE, c21 );    

    /* gamma11 = gamma11 + a1' * b1 + b1' * a1 */
    FLA_Dot2s_external( alpha, a1, b1, FLA_ONE, gamma11 );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, a1, /**/ A2,
                              FLA_LEFT );

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, b1, /**/ B2,
                              FLA_LEFT );

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00,  c01,     /**/ C02,
                                                     c10t, gamma11, /**/ c12t,
                            /* ************** */  /* ************************ */
                              &CBL, /**/ &CBR,       C20,  c21,     /**/ C22,
                              FLA_TL );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_unb_var3 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2s_external(), FLA_Gemv_external(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Scalr_external().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;

  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;


  FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_LEFT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_TL );

  while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){


    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, /**/ &a1, &A2,
                           1, FLA_RIGHT );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &b1, &B2,
                           1, FLA_RIGHT );

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00,  /**/ &c01,     &C02,
                        /* ************* */   /* ************************** */
                                                &c10t, /**/ &gamma11, &c12t,
                           CBL, /**/ CBR,       &C20,  /**/ &c21,     &C22,
                           1, 1, FLA_BR );

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

    /* c10t = c10t + a1' * B0 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B0, a1, FLA_ONE, c10t );

    /* c21 = c21 + B2' * a1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B2, a1, FLA_ONE, c21 );    

    /* gamma11 = gamma11 + a1' * b1 + b1' * a1 */
    FLA_Dot2s_external( alpha, a1, b1, FLA_ONE, gamma11 );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, a1, /**/ A2,
                              FLA_LEFT );

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, b1, /**/ B2,
                              FLA_LEFT );

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00,  c01,     /**/ C02,
                                                     c10t, gamma11, /**/ c12t,
                            /* ************** */  /* ************************ */
                              &CBL, /**/ &CBR,       C20,  c21,     /**/ C22,
                              FLA_TL );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_unb_var4 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2s_external(), FLA_Gemv_external(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Scalr_external().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;

  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;


  FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_LEFT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_TL );

  while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){


    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, /**/ &a1, &A2,
                           1, FLA_RIGHT );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &b1, &B2,
                           1, FLA_RIGHT );

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00,  /**/ &c01,     &C02,
                        /* ************* */   /* ************************** */
                                                &c10t, /**/ &gamma11, &c12t,
                           CBL, /**/ CBR,       &C20,  /**/ &c21,     &C22,
                           1, 1, FLA_BR );

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

    /* c21 = c21 + A2' * b1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A2, b1, FLA_ONE, c21 );    

    /* c21 = c21 + B2' * a1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B2, a1, FLA_ONE, c21 );    

    /* gamma11 = gamma11 + a1' * b1 + b1' * a1 */
    FLA_Dot2s_external( alpha, a1, b1, FLA_ONE, gamma11 );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, a1, /**/ A2,
                              FLA_LEFT );

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, b1, /**/ B2,
                              FLA_LEFT );

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00,  c01,     /**/ C02,
                                                     c10t, gamma11, /**/ c12t,
                            /* ************** */  /* ************************ */
                              &CBL, /**/ &CBR,       C20,  c21,     /**/ C22,
                              FLA_TL );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_unb_var5 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2s_external(), FLA_Gemv_external(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Scalr_external().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;

  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;


  FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_RIGHT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_BR );

  while ( FLA_Obj_width( AR ) < FLA_Obj_width( A ) ){


    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, &a1, /**/ &A2,
                           1, FLA_LEFT );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &b1, /**/ &B2,
                           1, FLA_LEFT );

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00,  &c01,     /**/ &C02,
                                                &c10t, &gamma11, /**/ &c12t,
                        /* ************* */   /* ************************** */
                           CBL, /**/ CBR,       &C20,  &c21,     /**/ &C22,
                           1, 1, FLA_TL );

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

    /* c21 = c21 + A2' * b1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A2, b1, FLA_ONE, c21 );    

    /* c21 = c21 + B2' * a1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B2, a1, FLA_ONE, c21 );    

    /* gamma11 = gamma11 + a1' * b1 + b1' * a1 */
    FLA_Dot2s_external( alpha, a1, b1, FLA_ONE, gamma11 );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ a1, A2,
                              FLA_RIGHT );

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ b1, B2,
                              FLA_RIGHT );

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00,  /**/ c01,     C02,
                            /* ************** */  /* ************************ */
                                                     c10t, /**/ gamma11, c12t,
                              &CBL, /**/ &CBR,       C20,  /**/ c21,     C22,
                              FLA_BR );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_unb_var6 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2s_external(), FLA_Gemv_external(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Scalr_external().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;

  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;


  FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_RIGHT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_BR );

  while ( FLA_Obj_width( AR ) < FLA_Obj_width( A ) ){


    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, &a1, /**/ &A2,
                           1, FLA_LEFT );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &b1, /**/ &B2,
                           1, FLA_LEFT );

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00,  &c01,     /**/ &C02,
                                                &c10t, &gamma11, /**/ &c12t,
                        /* ************* */   /* ************************** */
                           CBL, /**/ CBR,       &C20,  &c21,     /**/ &C22,
                           1, 1, FLA_TL );

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

    /* c10t = c10t + a1' * B0 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B0, a1, FLA_ONE, c10t );

    /* c21 = c21 + B2' * a1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B2, a1, FLA_ONE, c21 );    

    /* gamma11 = gamma11 + a1' * b1 + b1' * a1 */
    FLA_Dot2s_external( alpha, a1, b1, FLA_ONE, gamma11 );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ a1, A2,
                              FLA_RIGHT );

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ b1, B2,
                              FLA_RIGHT );

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00,  /**/ c01,     C02,
                            /* ************** */  /* ************************ */
                                                     c10t, /**/ gamma11, c12t,
                              &CBL, /**/ &CBR,       C20,  /**/ c21,     C22,
                              FLA_BR );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_unb_var7 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2s_external(), FLA_Gemv_external(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Scalr_external().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;

  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;


  FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_RIGHT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_BR );

  while ( FLA_Obj_width( AR ) < FLA_Obj_width( A ) ){


    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, &a1, /**/ &A2,
                           1, FLA_LEFT );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &b1, /**/ &B2,
                           1, FLA_LEFT );

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00,  &c01,     /**/ &C02,
                                                &c10t, &gamma11, /**/ &c12t,
                        /* ************* */   /* ************************** */
                           CBL, /**/ CBR,       &C20,  &c21,     /**/ &C22,
                           1, 1, FLA_TL );

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

    /* c10t = c10t + b1' * A0 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A0, b1, FLA_ONE, c10t );

    /* c21 = c21 + A2' * b1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A2, b1, FLA_ONE, c21 );    

    /* gamma11 = gamma11 + a1' * b1 + b1' * a1 */
    FLA_Dot2s_external( alpha, a1, b1, FLA_ONE, gamma11 );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ a1, A2,
                              FLA_RIGHT );

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ b1, B2,
                              FLA_RIGHT );

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00,  /**/ c01,     C02,
                            /* ************** */  /* ************************ */
                                                     c10t, /**/ gamma11, c12t,
                              &CBL, /**/ &CBR,       C20,  /**/ c21,     C22,
                              FLA_BR );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_unb_var8 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2s_external(), FLA_Gemv_external(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Scalr_external().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;

  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;


  FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_RIGHT );

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

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_BR );

  while ( FLA_Obj_width( AR ) < FLA_Obj_width( A ) ){


    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, &a1, /**/ &A2,
                           1, FLA_LEFT );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &b1, /**/ &B2,
                           1, FLA_LEFT );

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00,  &c01,     /**/ &C02,
                                                &c10t, &gamma11, /**/ &c12t,
                        /* ************* */   /* ************************** */
                           CBL, /**/ CBR,       &C20,  &c21,     /**/ &C22,
                           1, 1, FLA_TL );

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

    /* c10t = c10t + a1' * B0 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B0, a1, FLA_ONE, c10t );

    /* c10t = c10t + b1' * A0 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A0, b1, FLA_ONE, c10t );

    /* gamma11 = gamma11 + a1' * b1 + b1' * a1 */
    FLA_Dot2s_external( alpha, a1, b1, FLA_ONE, gamma11 );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ a1, A2,
                              FLA_RIGHT );

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ b1, B2,
                              FLA_RIGHT );

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00,  /**/ c01,     C02,
                            /* ************** */  /* ************************ */
                                                     c10t, /**/ gamma11, c12t,
                              &CBL, /**/ &CBR,       C20,  /**/ c21,     C22,
                              FLA_BR );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Syr2k_lt_unb_var9 ( FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  beta,
FLA_Obj  C 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Obj_length(), FLA_Part_2x1(), FLA_Repart_2x1_to_3x1(), FLA_Scalr_external(), and FLA_Syr2_external().

Referenced by FLA_Syr2k_lt().

{
  FLA_Obj AT,              A0,
          AB,              a1t,
                           A2;

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C );

  FLA_Part_2x1( A,    &AT, 
                      &AB,            0, FLA_TOP );

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

  while ( FLA_Obj_length( AT ) < FLA_Obj_length( A ) ){


    FLA_Repart_2x1_to_3x1( AT,                &A0, 
                        /* ** */            /* ** */
                                              &a1t, 
                           AB,                &A2,        1, FLA_BOTTOM );

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

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

    /* C = C + a1t' * b1t + b1t' * a1t */             
    FLA_Syr2_external( FLA_LOWER_TRIANGULAR, alpha, a1t, b1t, C );

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

    FLA_Cont_with_3x1_to_2x1( &AT,                A0, 
                                                  a1t, 
                            /* ** */           /* ** */
                              &AB,                A2,     FLA_TOP );

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

  }

  return FLA_SUCCESS;
}