FLA_Sylv_nn_blk_var4.c File Reference

(r)

Functions
FLA_Error	FLA_Sylv_nn_blk_var4 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)

---

Function Documentation

FLA_Error FLA_Sylv_nn_blk_var4	(	FLA_Obj	isgn,
		FLA_Obj	A,
		FLA_Obj	B,
		FLA_Obj	C,
		FLA_Obj	scale,
		fla_sylv_t *	cntl
	)

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(), and FLA_Sylv_internal().

Referenced by FLA_Sylv_nn().

{
  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_BR );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

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

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

    b = FLA_Determine_blocksize( CTR, FLA_TR, 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_2x2_to_3x3( BTL, /**/ BTR,       &B00, /**/ &B01, &B02,
                        /* ************* */   /* ******************** */
                                                &B10, /**/ &B11, &B12,
                           BBL, /**/ BBR,       &B20, /**/ &B21, &B22,
                           b, b, FLA_BR );

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

    // Loop Invariant:
    // CTL = CTL
    // CTR = CTR
    // CBL = sylv( ABR, BTL, CBL )
    // CBR = CBR - sylv( ABR, BTL, CBL ) * BTR

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

    // C10 = sylv( A11, B00, C10 - A12 * C20 );
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, A12, C20, FLA_ONE, C10,
                       FLA_Cntl_sub_gemm1( cntl ) );

    FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       isgn, A11, B00, C10, scale,
                       FLA_Cntl_sub_sylv1( cntl ) );

    // C21 = sylv( A22, B11, C21 );
    FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       isgn, A22, B11, C21, scale,
                       FLA_Cntl_sub_sylv2( cntl ) );

    // C11 = sylv( A11, B11, C11 - A12 * C21 -/+ C10 * B01 );
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_NEGATE( isgn ), C10, B01, FLA_ONE, C11,
                       FLA_Cntl_sub_gemm2( cntl ) );

    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
                       FLA_Cntl_sub_gemm3( cntl ) );

    FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       isgn, A11, B11, C11, scale,
                       FLA_Cntl_sub_sylv3( cntl ) );

    // C12 = C12 -/+ C10 * B02 -/+ C11 * B12;
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_NEGATE( isgn ), C11, B12, FLA_ONE, C12,
                       FLA_Cntl_sub_gemm4( cntl ) );

    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_NEGATE( isgn ), C10, B02, FLA_ONE, C12,
                       FLA_Cntl_sub_gemm5( cntl ) );

    // C22 = C22 -/+ C21 * B12;
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_NEGATE( isgn ), C21, B12, FLA_ONE, C22,
                       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_BR );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, B01, /**/ B02,
                                                     B10, B11, /**/ B12,
                            /* ************** */  /* ****************** */
                              &BBL, /**/ &BBR,       B20, B21, /**/ B22,
                              FLA_TL );

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

  }

  return FLA_SUCCESS;
}