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DOUBLE PRECISION FUNCTION DOPBL3( SUBNAM, M, N, K )
*
* -- LAPACK timing routine (version 3.0) --
* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
* Courant Institute, Argonne National Lab, and Rice University
* June 30, 1999
*
* .. Scalar Arguments ..
CHARACTER*6 SUBNAM
INTEGER K, M, N
* ..
*
* Purpose
* =======
*
* DOPBL3 computes an approximation of the number of floating point
* operations used by a subroutine SUBNAM with the given values
* of the parameters M, N, and K.
*
* This version counts operations for the Level 3 BLAS.
*
* Arguments
* =========
*
* SUBNAM (input) CHARACTER*6
* The name of the subroutine.
*
* M (input) INTEGER
* N (input) INTEGER
* K (input) INTEGER
* M, N, and K contain parameter values used by the Level 3
* BLAS. The output matrix is always M x N or N x N if
* symmetric, but K has different uses in different
* contexts. For example, in the matrix-matrix multiply
* routine, we have
* C = A * B
* where C is M x N, A is M x K, and B is K x N.
* In xSYMM, xTRMM, and xTRSM, K indicates whether the matrix
* A is applied on the left or right. If K <= 0, the matrix
* is applied on the left, if K > 0, on the right.
*
* =====================================================================
*
* .. Local Scalars ..
CHARACTER C1
CHARACTER*2 C2
CHARACTER*3 C3
DOUBLE PRECISION ADDS, EK, EM, EN, MULTS
* ..
* .. External Functions ..
LOGICAL LSAME, LSAMEN
EXTERNAL LSAME, LSAMEN
* ..
* .. Executable Statements ..
*
* Quick return if possible
*
IF( M.LE.0 .OR. .NOT.( LSAME( SUBNAM, 'S' ) .OR. LSAME( SUBNAM,
$ 'D' ) .OR. LSAME( SUBNAM, 'C' ) .OR. LSAME( SUBNAM, 'Z' ) ) )
$ THEN
DOPBL3 = 0
RETURN
END IF
*
C1 = SUBNAM( 1: 1 )
C2 = SUBNAM( 2: 3 )
C3 = SUBNAM( 4: 6 )
MULTS = 0
ADDS = 0
EM = M
EN = N
EK = K
*
* ----------------------
* Matrix-matrix products
* assume beta = 1
* ----------------------
*
IF( LSAMEN( 3, C3, 'MM ' ) ) THEN
*
IF( LSAMEN( 2, C2, 'GE' ) ) THEN
*
MULTS = EM*EK*EN
ADDS = EM*EK*EN
*
ELSE IF( LSAMEN( 2, C2, 'SY' ) .OR.
$ LSAMEN( 3, SUBNAM, 'CHE' ) .OR.
$ LSAMEN( 3, SUBNAM, 'ZHE' ) ) THEN
*
* IF K <= 0, assume A multiplies B on the left.
*
IF( K.LE.0 ) THEN
MULTS = EM*EM*EN
ADDS = EM*EM*EN
ELSE
MULTS = EM*EN*EN
ADDS = EM*EN*EN
END IF
*
ELSE IF( LSAMEN( 2, C2, 'TR' ) ) THEN
*
IF( K.LE.0 ) THEN
MULTS = EN*EM*( EM+1.D0 ) / 2.D0
ADDS = EN*EM*( EM-1.D0 ) / 2.D0
ELSE
MULTS = EM*EN*( EN+1.D0 ) / 2.D0
ADDS = EM*EN*( EN-1.D0 ) / 2.D0
END IF
*
END IF
*
* ------------------------------------------------
* Rank-K update of a symmetric or Hermitian matrix
* ------------------------------------------------
*
ELSE IF( LSAMEN( 3, C3, 'RK ' ) ) THEN
*
IF( LSAMEN( 2, C2, 'SY' ) .OR. LSAMEN( 3, SUBNAM, 'CHE' ) .OR.
$ LSAMEN( 3, SUBNAM, 'ZHE' ) ) THEN
*
MULTS = EK*EM*( EM+1.D0 ) / 2.D0
ADDS = EK*EM*( EM+1.D0 ) / 2.D0
END IF
*
* ------------------------------------------------
* Rank-2K update of a symmetric or Hermitian matrix
* ------------------------------------------------
*
ELSE IF( LSAMEN( 3, C3, 'R2K' ) ) THEN
*
IF( LSAMEN( 2, C2, 'SY' ) .OR. LSAMEN( 3, SUBNAM, 'CHE' ) .OR.
$ LSAMEN( 3, SUBNAM, 'ZHE' ) ) THEN
*
MULTS = EK*EM*EM
ADDS = EK*EM*EM + EM
END IF
*
* -----------------------------------------
* Solving system with many right hand sides
* -----------------------------------------
*
ELSE IF( LSAMEN( 5, SUBNAM( 2: 6 ), 'TRSM ' ) ) THEN
*
IF( K.LE.0 ) THEN
MULTS = EN*EM*( EM+1.D0 ) / 2.D0
ADDS = EN*EM*( EM-1.D0 ) / 2.D0
ELSE
MULTS = EM*EN*( EN+1.D0 ) / 2.D0
ADDS = EM*EN*( EN-1.D0 ) / 2.D0
END IF
*
END IF
*
* ------------------------------------------------
* Compute the total number of operations.
* For real and double precision routines, count
* 1 for each multiply and 1 for each add.
* For complex and complex*16 routines, count
* 6 for each multiply and 2 for each add.
* ------------------------------------------------
*
IF( LSAME( C1, 'S' ) .OR. LSAME( C1, 'D' ) ) THEN
*
DOPBL3 = MULTS + ADDS
*
ELSE
*
DOPBL3 = 6*MULTS + 2*ADDS
*
END IF
*
RETURN
*
* End of DOPBL3
*
END
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