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authorjason <jason@8a072113-8704-0410-8d35-dd094bca7971>2008-10-28 01:38:50 +0000
committerjason <jason@8a072113-8704-0410-8d35-dd094bca7971>2008-10-28 01:38:50 +0000
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+ SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ )
+*
+* -- 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 SCALE, SUMSQ
+* ..
+* .. Array Arguments ..
+ COMPLEX*16 X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZLASSQ returns the values scl and ssq such that
+*
+* ( scl**2 )*ssq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,
+*
+* where x( i ) = abs( X( 1 + ( i - 1 )*INCX ) ). The value of sumsq is
+* assumed to be at least unity and the value of ssq will then satisfy
+*
+* 1.0 .le. ssq .le. ( sumsq + 2*n ).
+*
+* scale is assumed to be non-negative and scl returns the value
+*
+* scl = max( scale, abs( real( x( i ) ) ), abs( aimag( x( i ) ) ) ),
+* i
+*
+* scale and sumsq must be supplied in SCALE and SUMSQ respectively.
+* SCALE and SUMSQ are overwritten by scl and ssq respectively.
+*
+* The routine makes only one pass through the vector X.
+*
+* Arguments
+* =========
+*
+* N (input) INTEGER
+* The number of elements to be used from the vector X.
+*
+* X (input) COMPLEX*16 array, dimension (N)
+* The vector x as described above.
+* x( i ) = X( 1 + ( i - 1 )*INCX ), 1 <= i <= n.
+*
+* INCX (input) INTEGER
+* The increment between successive values of the vector X.
+* INCX > 0.
+*
+* SCALE (input/output) DOUBLE PRECISION
+* On entry, the value scale in the equation above.
+* On exit, SCALE is overwritten with the value scl .
+*
+* SUMSQ (input/output) DOUBLE PRECISION
+* On entry, the value sumsq in the equation above.
+* On exit, SUMSQ is overwritten with the value ssq .
+*
+* =====================================================================
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* ..
+* .. Local Scalars ..
+ INTEGER IX
+ DOUBLE PRECISION TEMP1
+* ..
+* .. Intrinsic Functions ..
+ INTRINSIC ABS, DBLE, DIMAG
+* ..
+* .. Executable Statements ..
+*
+ IF( N.GT.0 ) THEN
+ DO 10 IX = 1, 1 + ( N-1 )*INCX, INCX
+ IF( DBLE( X( IX ) ).NE.ZERO ) THEN
+ TEMP1 = ABS( DBLE( X( IX ) ) )
+ IF( SCALE.LT.TEMP1 ) THEN
+ SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2
+ SCALE = TEMP1
+ ELSE
+ SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2
+ END IF
+ END IF
+ IF( DIMAG( X( IX ) ).NE.ZERO ) THEN
+ TEMP1 = ABS( DIMAG( X( IX ) ) )
+ IF( SCALE.LT.TEMP1 ) THEN
+ SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2
+ SCALE = TEMP1
+ ELSE
+ SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2
+ END IF
+ END IF
+ 10 CONTINUE
+ END IF
+*
+ RETURN
+*
+* End of ZLASSQ
+*
+ END