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Diffstat (limited to 'src/lib/lapack/dlarfg.f')
-rw-r--r-- | src/lib/lapack/dlarfg.f | 137 |
1 files changed, 0 insertions, 137 deletions
diff --git a/src/lib/lapack/dlarfg.f b/src/lib/lapack/dlarfg.f deleted file mode 100644 index be981880..00000000 --- a/src/lib/lapack/dlarfg.f +++ /dev/null @@ -1,137 +0,0 @@ - SUBROUTINE DLARFG( N, ALPHA, X, INCX, TAU ) -* -* -- LAPACK auxiliary routine (version 3.1) -- -* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. -* November 2006 -* -* .. Scalar Arguments .. - INTEGER INCX, N - DOUBLE PRECISION ALPHA, TAU -* .. -* .. Array Arguments .. - DOUBLE PRECISION X( * ) -* .. -* -* Purpose -* ======= -* -* DLARFG generates a real elementary reflector H of order n, such -* that -* -* H * ( alpha ) = ( beta ), H' * H = I. -* ( x ) ( 0 ) -* -* where alpha and beta are scalars, and x is an (n-1)-element real -* vector. H is represented in the form -* -* H = I - tau * ( 1 ) * ( 1 v' ) , -* ( v ) -* -* where tau is a real scalar and v is a real (n-1)-element -* vector. -* -* If the elements of x are all zero, then tau = 0 and H is taken to be -* the unit matrix. -* -* Otherwise 1 <= tau <= 2. -* -* Arguments -* ========= -* -* N (input) INTEGER -* The order of the elementary reflector. -* -* ALPHA (input/output) DOUBLE PRECISION -* On entry, the value alpha. -* On exit, it is overwritten with the value beta. -* -* X (input/output) DOUBLE PRECISION array, dimension -* (1+(N-2)*abs(INCX)) -* On entry, the vector x. -* On exit, it is overwritten with the vector v. -* -* INCX (input) INTEGER -* The increment between elements of X. INCX > 0. -* -* TAU (output) DOUBLE PRECISION -* The value tau. -* -* ===================================================================== -* -* .. Parameters .. - DOUBLE PRECISION ONE, ZERO - PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 ) -* .. -* .. Local Scalars .. - INTEGER J, KNT - DOUBLE PRECISION BETA, RSAFMN, SAFMIN, XNORM -* .. -* .. External Functions .. - DOUBLE PRECISION DLAMCH, DLAPY2, DNRM2 - EXTERNAL DLAMCH, DLAPY2, DNRM2 -* .. -* .. Intrinsic Functions .. - INTRINSIC ABS, SIGN -* .. -* .. External Subroutines .. - EXTERNAL DSCAL -* .. -* .. Executable Statements .. -* - IF( N.LE.1 ) THEN - TAU = ZERO - RETURN - END IF -* - XNORM = DNRM2( N-1, X, INCX ) -* - IF( XNORM.EQ.ZERO ) THEN -* -* H = I -* - TAU = ZERO - ELSE -* -* general case -* - BETA = -SIGN( DLAPY2( ALPHA, XNORM ), ALPHA ) - SAFMIN = DLAMCH( 'S' ) / DLAMCH( 'E' ) - IF( ABS( BETA ).LT.SAFMIN ) THEN -* -* XNORM, BETA may be inaccurate; scale X and recompute them -* - RSAFMN = ONE / SAFMIN - KNT = 0 - 10 CONTINUE - KNT = KNT + 1 - CALL DSCAL( N-1, RSAFMN, X, INCX ) - BETA = BETA*RSAFMN - ALPHA = ALPHA*RSAFMN - IF( ABS( BETA ).LT.SAFMIN ) - $ GO TO 10 -* -* New BETA is at most 1, at least SAFMIN -* - XNORM = DNRM2( N-1, X, INCX ) - BETA = -SIGN( DLAPY2( ALPHA, XNORM ), ALPHA ) - TAU = ( BETA-ALPHA ) / BETA - CALL DSCAL( N-1, ONE / ( ALPHA-BETA ), X, INCX ) -* -* If ALPHA is subnormal, it may lose relative accuracy -* - ALPHA = BETA - DO 20 J = 1, KNT - ALPHA = ALPHA*SAFMIN - 20 CONTINUE - ELSE - TAU = ( BETA-ALPHA ) / BETA - CALL DSCAL( N-1, ONE / ( ALPHA-BETA ), X, INCX ) - ALPHA = BETA - END IF - END IF -* - RETURN -* -* End of DLARFG -* - END |