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+ DOUBLE PRECISION FUNCTION DNRM2 ( N, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, N
+* .. Array Arguments ..
+ DOUBLE PRECISION X( * )
+* ..
+*
+* DNRM2 returns the euclidean norm of a vector via the function
+* name, so that
+*
+* DNRM2 := sqrt( x'*x )
+*
+*
+*
+* -- This version written on 25-October-1982.
+* Modified on 14-October-1993 to inline the call to DLASSQ.
+* Sven Hammarling, Nag Ltd.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ INTEGER IX
+ DOUBLE PRECISION ABSXI, NORM, SCALE, SSQ
+* .. Intrinsic Functions ..
+ INTRINSIC ABS, SQRT
+* ..
+* .. Executable Statements ..
+ IF( N.LT.1 .OR. INCX.LT.1 )THEN
+ NORM = ZERO
+ ELSE IF( N.EQ.1 )THEN
+ NORM = ABS( X( 1 ) )
+ ELSE
+ SCALE = ZERO
+ SSQ = ONE
+* The following loop is equivalent to this call to the LAPACK
+* auxiliary routine:
+* CALL DLASSQ( N, X, INCX, SCALE, SSQ )
+*
+ DO 10, IX = 1, 1 + ( N - 1 )*INCX, INCX
+ IF( X( IX ).NE.ZERO )THEN
+ ABSXI = ABS( X( IX ) )
+ IF( SCALE.LT.ABSXI )THEN
+ SSQ = ONE + SSQ*( SCALE/ABSXI )**2
+ SCALE = ABSXI
+ ELSE
+ SSQ = SSQ + ( ABSXI/SCALE )**2
+ END IF
+ END IF
+ 10 CONTINUE
+ NORM = SCALE * SQRT( SSQ )
+ END IF
+*
+ DNRM2 = NORM
+ RETURN
+*
+* End of DNRM2.
+*
+ END