FLA_Syrk_ut.h File Reference

(r)

Go to the source code of this file.

Functions
FLA_Error	FLA_Syrk_ut_blk_var1 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C, fla_syrk_t *cntl)
FLA_Error	FLA_Syrk_ut_blk_var2 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C, fla_syrk_t *cntl)
FLA_Error	FLA_Syrk_ut_blk_var3 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C, fla_syrk_t *cntl)
FLA_Error	FLA_Syrk_ut_blk_var4 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C, fla_syrk_t *cntl)
FLA_Error	FLA_Syrk_ut_blk_var5 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C, fla_syrk_t *cntl)
FLA_Error	FLA_Syrk_ut_blk_var6 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C, fla_syrk_t *cntl)
FLA_Error	FLA_Syrk_ut_unb_var1 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C)
FLA_Error	FLA_Syrk_ut_unb_var2 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C)
FLA_Error	FLA_Syrk_ut_unb_var3 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C)
FLA_Error	FLA_Syrk_ut_unb_var4 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C)
FLA_Error	FLA_Syrk_ut_unb_var5 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C)
FLA_Error	FLA_Syrk_ut_unb_var6 (FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C)

Function Documentation

FLA_Syrk_ut_blk_var1()

FLA_Error FLA_Syrk_ut_blk_var1	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C,
		fla_syrk_t *	cntl
	)

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;
 
  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;
 
  dim_t b;
 
  FLA_Part_1x2( A,    &AL,  &AR,      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_2x2_to_3x3( CTL, /**/ CTR,       &C00, /**/ &C01, &C02,
                        /* ************* */   /* ******************** */
                                                &C10, /**/ &C11, &C12,
                           CBL, /**/ CBR,       &C20, /**/ &C21, &C22,
                           b, b, FLA_BR );
 
    /*------------------------------------------------------------*/
 
    /* C12 = C12 + A1' * A2 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A1, A2, beta, C12,
                       FLA_Cntl_sub_gemm( cntl ) );
 
    /* C11 = C11 + A1' * A1 */
    FLA_Syrk_internal( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, 
                       alpha, A1, beta, C11,
                       FLA_Cntl_sub_syrk( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, A1, /**/ A2,
                              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;
}

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Syrk_internal(), and i.

Referenced by FLA_Syrk_ut().

FLA_Syrk_ut_blk_var2()

FLA_Error FLA_Syrk_ut_blk_var2	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C,
		fla_syrk_t *	cntl
	)

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;
 
  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;
 
  dim_t b;
 
  FLA_Part_1x2( A,    &AL,  &AR,      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_2x2_to_3x3( CTL, /**/ CTR,       &C00, /**/ &C01, &C02,
                        /* ************* */   /* ******************** */
                                                &C10, /**/ &C11, &C12,
                           CBL, /**/ CBR,       &C20, /**/ &C21, &C22,
                           b, b, FLA_BR );
 
    /*------------------------------------------------------------*/
 
    /* C01 = C01 + A0' * A1 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A0, A1, beta, C01,
                       FLA_Cntl_sub_gemm( cntl ) );
 
    /* C11 = C11 + A1' * A1 */
    FLA_Syrk_internal( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, 
                       alpha, A1, beta, C11,
                       FLA_Cntl_sub_syrk( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, A1, /**/ A2,
                              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;
}

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Syrk_internal(), and i.

Referenced by FLA_Syrk_ut().

FLA_Syrk_ut_blk_var3()

FLA_Error FLA_Syrk_ut_blk_var3	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C,
		fla_syrk_t *	cntl
	)

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;
 
  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;
 
  dim_t b;
 
  FLA_Part_1x2( A,    &AL,  &AR,      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_2x2_to_3x3( CTL, /**/ CTR,       &C00, &C01, /**/ &C02,
                                                &C10, &C11, /**/ &C12,
                        /* ************* */   /* ******************** */
                           CBL, /**/ CBR,       &C20, &C21, /**/ &C22,
                           b, b, FLA_TL );
 
    /*------------------------------------------------------------*/
 
    /* C12 = C12 + A1' * A2 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A1, A2, beta, C12,
                       FLA_Cntl_sub_gemm( cntl ) );
 
    /* C11 = C11 + A1' * A1 */
    FLA_Syrk_internal( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, 
                       alpha, A1, beta, C11,
                       FLA_Cntl_sub_syrk( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ A1, A2,
                              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;
}

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Syrk_internal(), and i.

Referenced by FLA_Syrk_ut().

FLA_Syrk_ut_blk_var4()

FLA_Error FLA_Syrk_ut_blk_var4	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C,
		fla_syrk_t *	cntl
	)

{
  FLA_Obj AL,    AR,       A0,  A1,  A2;
 
  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;
 
  dim_t b;
 
  FLA_Part_1x2( A,    &AL,  &AR,      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_2x2_to_3x3( CTL, /**/ CTR,       &C00, &C01, /**/ &C02,
                                                &C10, &C11, /**/ &C12,
                        /* ************* */   /* ******************** */
                           CBL, /**/ CBR,       &C20, &C21, /**/ &C22,
                           b, b, FLA_TL );
 
    /*------------------------------------------------------------*/
 
    /* C01 = C01 + A0' * A1 */
    FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       alpha, A0, A1, beta, C01,
                       FLA_Cntl_sub_gemm( cntl ) );
 
    /* C11 = C11 + A1' * A1 */
    FLA_Syrk_internal( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, 
                       alpha, A1, beta, C11,
                       FLA_Cntl_sub_syrk( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ A1, A2,
                              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;
}

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Syrk_internal(), and i.

Referenced by FLA_Syrk_ut().

FLA_Syrk_ut_blk_var5()

FLA_Error FLA_Syrk_ut_blk_var5	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C,
		fla_syrk_t *	cntl
	)

{
  FLA_Obj AT,              A0,
          AB,              A1,
                           A2;
 
  dim_t b;
 
  FLA_Scalr_internal( FLA_UPPER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );
 
  FLA_Part_2x1( A,    &AT, 
                      &AB,            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 );
 
    /*------------------------------------------------------------*/
 
    /* C = C + A1' * A1 */
    FLA_Syrk_internal( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, 
                       alpha, A1, FLA_ONE, C,
                       FLA_Cntl_sub_syrk( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_3x1_to_2x1( &AT,                A0, 
                                                  A1, 
                            /* ** */           /* ** */
                              &AB,                A2,     FLA_TOP );
 
  }
 
  return FLA_SUCCESS;
}

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(), FLA_Syrk_internal(), and i.

Referenced by FLA_Syrk_ut().

FLA_Syrk_ut_blk_var6()

FLA_Error FLA_Syrk_ut_blk_var6	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C,
		fla_syrk_t *	cntl
	)

{
  FLA_Obj AT,              A0,
          AB,              A1,
                           A2;
 
  dim_t b;
 
  FLA_Scalr_internal( FLA_UPPER_TRIANGULAR, beta, C,
                      FLA_Cntl_sub_scalr( cntl ) );
 
  FLA_Part_2x1( A,    &AT, 
                      &AB,            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 );
 
    /*------------------------------------------------------------*/
 
    /* C = C + A1' * A1 */
    FLA_Syrk_internal( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, 
                       alpha, A1, FLA_ONE, C,
                       FLA_Cntl_sub_syrk( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_3x1_to_2x1( &AT,                A0, 
                            /* ** */           /* ** */
                                                  A1, 
                              &AB,                A2,     FLA_BOTTOM );
 
  }
 
  return FLA_SUCCESS;
}

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(), FLA_Syrk_internal(), and i.

Referenced by FLA_Syrk_ut().

FLA_Syrk_ut_unb_var1()

FLA_Error FLA_Syrk_ut_unb_var1	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C
	)

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;
 
  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;
 
  FLA_Scalr_external( FLA_UPPER_TRIANGULAR, beta, C );
 
  FLA_Part_1x2( A,    &AL,  &AR,      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_2x2_to_3x3( CTL, /**/ CTR,       &C00,  /**/ &c01,     &C02,
                        /* ************* */   /* ************************** */
                                                &c10t, /**/ &gamma11, &c12t,
                           CBL, /**/ CBR,       &C20,  /**/ &c21,     &C22,
                           1, 1, FLA_BR );
 
    /*------------------------------------------------------------*/
 
    /* c12t    = c12t    + A2' * a1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A2, a1, FLA_ONE, c12t );
 
    /* gamma11 = gamma11 + a1 * a1' */
    FLA_Dots_external( alpha, a1, a1, FLA_ONE, gamma11 );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, a1, /**/ A2,
                              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;
}

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dots_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(), FLA_Scalr_external(), and i.

Referenced by FLA_Syrk_ut().

FLA_Syrk_ut_unb_var2()

FLA_Error FLA_Syrk_ut_unb_var2	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C
	)

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;
 
  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;
 
  FLA_Scalr_external( FLA_UPPER_TRIANGULAR, beta, C );
 
  FLA_Part_1x2( A,    &AL,  &AR,      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_2x2_to_3x3( CTL, /**/ CTR,       &C00,  /**/ &c01,     &C02,
                        /* ************* */   /* ************************** */
                                                &c10t, /**/ &gamma11, &c12t,
                           CBL, /**/ CBR,       &C20,  /**/ &c21,     &C22,
                           1, 1, FLA_BR );
 
    /*------------------------------------------------------------*/
 
    /* c01     = c01     + A0' * a1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A0, a1, FLA_ONE, c01 );
 
    /* gamma11 = gamma11 + a1 * a1' */
    FLA_Dots_external( alpha, a1, a1, FLA_ONE, gamma11 );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, a1, /**/ A2,
                              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;
}

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dots_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(), FLA_Scalr_external(), and i.

Referenced by FLA_Syrk_ut().

FLA_Syrk_ut_unb_var3()

FLA_Error FLA_Syrk_ut_unb_var3	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C
	)

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;
 
  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;
 
  FLA_Scalr_external( FLA_UPPER_TRIANGULAR, beta, C );
 
  FLA_Part_1x2( A,    &AL,  &AR,      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_2x2_to_3x3( CTL, /**/ CTR,       &C00,  &c01,     /**/ &C02,
                                                &c10t, &gamma11, /**/ &c12t,
                        /* ************* */   /* ************************** */
                           CBL, /**/ CBR,       &C20,  &c21,     /**/ &C22,
                           1, 1, FLA_TL );
 
    /*------------------------------------------------------------*/
 
    /* c12t    = c12t    + A2' * a1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A2, a1, FLA_ONE, c12t );
 
    /* gamma11 = gamma11 + a1 * a1' */
    FLA_Dots_external( alpha, a1, a1, FLA_ONE, gamma11 );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ a1, A2,
                              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;
}

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dots_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(), FLA_Scalr_external(), and i.

Referenced by FLA_Syrk_ut().

FLA_Syrk_ut_unb_var4()

FLA_Error FLA_Syrk_ut_unb_var4	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C
	)

{
  FLA_Obj AL,    AR,       A0,  a1,  A2;
 
  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;
 
  FLA_Scalr_external( FLA_UPPER_TRIANGULAR, beta, C );
 
  FLA_Part_1x2( A,    &AL,  &AR,      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_2x2_to_3x3( CTL, /**/ CTR,       &C00,  &c01,     /**/ &C02,
                                                &c10t, &gamma11, /**/ &c12t,
                        /* ************* */   /* ************************** */
                           CBL, /**/ CBR,       &C20,  &c21,     /**/ &C22,
                           1, 1, FLA_TL );
 
    /*------------------------------------------------------------*/
 
    /* c01     = c01     + A0' * a1 */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, A0, a1, FLA_ONE, c01 );
 
    /* gamma11 = gamma11 + a1 * a1' */
    FLA_Dots_external( alpha, a1, a1, FLA_ONE, gamma11 );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, /**/ a1, A2,
                              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;
}

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dots_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(), FLA_Scalr_external(), and i.

Referenced by FLA_Syrk_ut().

FLA_Syrk_ut_unb_var5()

FLA_Error FLA_Syrk_ut_unb_var5	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C
	)

{
  FLA_Obj AT,              A0,
          AB,              a1t,
                           A2;
 
  FLA_Scalr_external( FLA_UPPER_TRIANGULAR, beta, C );
 
  FLA_Part_2x1( A,    &AT, 
                      &AB,            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 );
 
    /*------------------------------------------------------------*/
 
    /* C := C + a1t' * a1t */ 
    FLA_Syr_external( FLA_UPPER_TRIANGULAR, alpha, a1t, C );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_3x1_to_2x1( &AT,                A0, 
                                                  a1t, 
                            /* ** */           /* *** */
                              &AB,                A2,     FLA_TOP );
 
  }
 
  return FLA_SUCCESS;
}

References FLA_Cont_with_3x1_to_2x1(), FLA_Obj_length(), FLA_Part_2x1(), FLA_Repart_2x1_to_3x1(), FLA_Scalr_external(), FLA_Syr_external(), and i.

Referenced by FLA_Syrk_ut().

FLA_Syrk_ut_unb_var6()

FLA_Error FLA_Syrk_ut_unb_var6	(	FLA_Obj	alpha,
		FLA_Obj	A,
		FLA_Obj	beta,
		FLA_Obj	C
	)

{
  FLA_Obj AT,              A0,
          AB,              a1t,
                           A2;
 
  FLA_Scalr_external( FLA_UPPER_TRIANGULAR, beta, C );
 
  FLA_Part_2x1( A,    &AT, 
                      &AB,            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 );
 
    /*------------------------------------------------------------*/
 
    /* C := C + a1t' * a1t */ 
    FLA_Syr_external( FLA_UPPER_TRIANGULAR, alpha, a1t, C );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_3x1_to_2x1( &AT,                A0, 
                            /* ** */           /* *** */
                                                  a1t, 
                              &AB,                A2,     FLA_BOTTOM );
 
  }
 
  return FLA_SUCCESS;
}

References FLA_Cont_with_3x1_to_2x1(), FLA_Obj_length(), FLA_Part_2x1(), FLA_Repart_2x1_to_3x1(), FLA_Scalr_external(), FLA_Syr_external(), and i.

Referenced by FLA_Syrk_ut().