1CLASSQ(1) LAPACK auxiliary routine (version 3.1) CLASSQ(1)
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6 CLASSQ - the values scl and ssq such that ( scl**2 )*ssq = x( 1 )**2
7 +...+ x( n )**2 + ( scale**2 )*sumsq,
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10 SUBROUTINE CLASSQ( N, X, INCX, SCALE, SUMSQ )
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12 INTEGER INCX, N
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14 REAL SCALE, SUMSQ
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16 COMPLEX X( * )
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19 CLASSQ returns the values scl and ssq such that
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21 where x( i ) = abs( X( 1 + ( i - 1 )*INCX ) ). The value of sumsq is
22 assumed to be at least unity and the value of ssq will then satisfy
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24 1.0 .le. ssq .le. ( sumsq + 2*n ).
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26 scale is assumed to be non-negative and scl returns the value
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28 scl = max( scale, abs( real( x( i ) ) ), abs( aimag( x( i ) ) ) ),
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31 scale and sumsq must be supplied in SCALE and SUMSQ respectively.
32 SCALE and SUMSQ are overwritten by scl and ssq respectively.
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34 The routine makes only one pass through the vector X.
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38 N (input) INTEGER
39 The number of elements to be used from the vector X.
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41 X (input) COMPLEX array, dimension (N)
42 The vector x as described above. x( i ) = X( 1 + ( i - 1
43 )*INCX ), 1 <= i <= n.
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45 INCX (input) INTEGER
46 The increment between successive values of the vector X. INCX
47 > 0.
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49 SCALE (input/output) REAL
50 On entry, the value scale in the equation above. On exit,
51 SCALE is overwritten with the value scl .
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53 SUMSQ (input/output) REAL
54 On entry, the value sumsq in the equation above. On exit,
55 SUMSQ is overwritten with the value ssq .
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59 LAPACK auxiliary routine (versionNo3v.e1m)ber 2006 CLASSQ(1)