CLASSQ
November 2006
Purpose
CLASSQ 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.
( 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 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) REAL
On entry, the value scale in the equation above.
On exit, SCALE is overwritten with the value scl . |
| SUMSQ |
(input/output) REAL
On entry, the value sumsq in the equation above.
On exit, SUMSQ is overwritten with the value ssq . |