FLA_Sylv_hh_blk_var2.c File Reference

(r)

Functions
FLA_Error	FLA_Sylv_hh_blk_var2 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)

Function Documentation

FLA_Sylv_hh_blk_var2()

FLA_Error FLA_Sylv_hh_blk_var2	(	FLA_Obj	isgn,
		FLA_Obj	A,
		FLA_Obj	B,
		FLA_Obj	C,
		FLA_Obj	scale,
		fla_sylv_t *	cntl
	)

{
  FLA_Obj ATL,   ATR,      A00, A01, A02, 
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;
 
  FLA_Obj BTL,   BTR,      B00, B01, B02, 
          BBL,   BBR,      B10, B11, B12,
                           B20, B21, B22;
 
  FLA_Obj CTL,   CTR,      C00, C01, C02, 
          CBL,   CBR,      C10, C11, C12,
                           C20, C21, C22;
 
  dim_t b;
 
  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );
 
  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_BR );
 
  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_TR );
 
  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
 
    b = FLA_Determine_blocksize( CBL, FLA_BL, 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_2x2_to_3x3( BTL, /**/ BTR,       &B00, &B01, /**/ &B02,
                                                &B10, &B11, /**/ &B12,
                        /* ************* */   /* ******************** */
                           BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
                           b, b, FLA_TL );
 
    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00, &C01, /**/ &C02,
                        /* ************* */   /* ******************** */
                                                &C10, &C11, /**/ &C12,
                           CBL, /**/ CBR,       &C20, &C21, /**/ &C22,
                           b, b, FLA_BL );
 
    // Loop Invariant:
    // CTL = 
    // CTR = 
    // CBL = 
    // CBR = 
 
    /*------------------------------------------------------------*/
 
    // C12 = sylv( A11', B22', C12 );
    FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_CONJ_TRANSPOSE, 
                       isgn, A11, B22, C12, scale,
                       FLA_Cntl_sub_sylv1( cntl ) );
 
    // C22 = C22 - A12' * C12;
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, A12, C12, FLA_ONE, C22,
                       FLA_Cntl_sub_gemm1( cntl ) );
 
    // C01 = sylv( A00', B11', C01 -/+ C02 * B12' );
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
                       FLA_NEGATE( isgn ), C02, B12, FLA_ONE, C01,
                       FLA_Cntl_sub_gemm2( cntl ) );
 
    FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_CONJ_TRANSPOSE, 
                       isgn, A00, B11, C01, scale,
                       FLA_Cntl_sub_sylv2( cntl ) );
 
    // C11 = sylv( A11', B11', C11 - A01' * C01 -/+ C12 * B12' );
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
                       FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
                       FLA_Cntl_sub_gemm3( cntl ) );
 
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, A01, C01, FLA_ONE, C11,
                       FLA_Cntl_sub_gemm4( cntl ) );
 
    FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_CONJ_TRANSPOSE, 
                       isgn, A11, B11, C11, scale,
                       FLA_Cntl_sub_sylv3( cntl ) );
 
    // C21 = C21 - A12' * C11 - A02' * C01;
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, A02, C01, FLA_ONE, C21,
                       FLA_Cntl_sub_gemm5( cntl ) );
 
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, A12, C11, FLA_ONE, C21,
                       FLA_Cntl_sub_gemm6( 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_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
                            /* ************** */  /* ****************** */
                                                     B10, /**/ B11, B12,
                              &BBL, /**/ &BBR,       B20, /**/ B21, B22,
                              FLA_BR );
 
    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
                                                     C10, /**/ C11, C12,
                            /* ************** */  /* ****************** */
                              &CBL, /**/ &CBR,       C20, /**/ C21, C22,
                              FLA_TR );
 
  }
 
  return FLA_SUCCESS;
}

References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Sylv_internal(), and i.

Referenced by FLA_Sylv_hh().