root / src / blas / dnrm2.f @ 4
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1 | 1 | equemene | DOUBLE PRECISION FUNCTION DNRM2(N,X,INCX) |
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2 | 1 | equemene | * .. Scalar Arguments .. |
3 | 1 | equemene | INTEGER INCX,N |
4 | 1 | equemene | * .. |
5 | 1 | equemene | * .. Array Arguments .. |
6 | 1 | equemene | DOUBLE PRECISION X(*) |
7 | 1 | equemene | * .. |
8 | 1 | equemene | * |
9 | 1 | equemene | * Purpose |
10 | 1 | equemene | * ======= |
11 | 1 | equemene | * |
12 | 1 | equemene | * DNRM2 returns the euclidean norm of a vector via the function |
13 | 1 | equemene | * name, so that |
14 | 1 | equemene | * |
15 | 1 | equemene | * DNRM2 := sqrt( x'*x ) |
16 | 1 | equemene | * |
17 | 1 | equemene | * |
18 | 1 | equemene | * -- This version written on 25-October-1982. |
19 | 1 | equemene | * Modified on 14-October-1993 to inline the call to DLASSQ. |
20 | 1 | equemene | * Sven Hammarling, Nag Ltd. |
21 | 1 | equemene | * |
22 | 1 | equemene | * |
23 | 1 | equemene | * .. Parameters .. |
24 | 1 | equemene | DOUBLE PRECISION ONE,ZERO |
25 | 1 | equemene | PARAMETER (ONE=1.0D+0,ZERO=0.0D+0) |
26 | 1 | equemene | * .. |
27 | 1 | equemene | * .. Local Scalars .. |
28 | 1 | equemene | DOUBLE PRECISION ABSXI,NORM,SCALE,SSQ |
29 | 1 | equemene | INTEGER IX |
30 | 1 | equemene | * .. |
31 | 1 | equemene | * .. Intrinsic Functions .. |
32 | 1 | equemene | INTRINSIC ABS,SQRT |
33 | 1 | equemene | * .. |
34 | 1 | equemene | IF (N.LT.1 .OR. INCX.LT.1) THEN |
35 | 1 | equemene | NORM = ZERO |
36 | 1 | equemene | ELSE IF (N.EQ.1) THEN |
37 | 1 | equemene | NORM = ABS(X(1)) |
38 | 1 | equemene | ELSE |
39 | 1 | equemene | SCALE = ZERO |
40 | 1 | equemene | SSQ = ONE |
41 | 1 | equemene | * The following loop is equivalent to this call to the LAPACK |
42 | 1 | equemene | * auxiliary routine: |
43 | 1 | equemene | * CALL DLASSQ( N, X, INCX, SCALE, SSQ ) |
44 | 1 | equemene | * |
45 | 1 | equemene | DO 10 IX = 1,1 + (N-1)*INCX,INCX |
46 | 1 | equemene | IF (X(IX).NE.ZERO) THEN |
47 | 1 | equemene | ABSXI = ABS(X(IX)) |
48 | 1 | equemene | IF (SCALE.LT.ABSXI) THEN |
49 | 1 | equemene | SSQ = ONE + SSQ* (SCALE/ABSXI)**2 |
50 | 1 | equemene | SCALE = ABSXI |
51 | 1 | equemene | ELSE |
52 | 1 | equemene | SSQ = SSQ + (ABSXI/SCALE)**2 |
53 | 1 | equemene | END IF |
54 | 1 | equemene | END IF |
55 | 1 | equemene | 10 CONTINUE |
56 | 1 | equemene | NORM = SCALE*SQRT(SSQ) |
57 | 1 | equemene | END IF |
58 | 1 | equemene | * |
59 | 1 | equemene | DNRM2 = NORM |
60 | 1 | equemene | RETURN |
61 | 1 | equemene | * |
62 | 1 | equemene | * End of DNRM2. |
63 | 1 | equemene | * |
64 | 1 | equemene | END |