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source: branches/2789_MathNetNumerics-Exploration/HeuristicLab.Algorithms.DataAnalysis.Experimental/sbart/sdsdot.f @ 17456

Last change on this file since 17456 was 15457, checked in by gkronber, 7 years ago

#2789 added Finbarr O'Sullivan smoothing spline code

File size: 2.8 KB
Line 
1      REAL FUNCTION SDSDOT(N,SB,SX,INCX,SY,INCY)
2*     .. Scalar Arguments ..
3      REAL SB
4      INTEGER INCX,INCY,N
5*     ..
6*     .. Array Arguments ..
7      REAL SX(*),SY(*)
8*     ..
9*
10*  PURPOSE
11*  =======
12*
13*  Compute the inner product of two vectors with extended
14*  precision accumulation.
15*
16*  Returns S.P. result with dot product accumulated in D.P.
17*  SDSDOT = SB + sum for I = 0 to N-1 of SX(LX+I*INCX)*SY(LY+I*INCY),
18*  where LX = 1 if INCX .GE. 0, else LX = 1+(1-N)*INCX, and LY is
19*  defined in a similar way using INCY.
20*
21*  AUTHOR
22*  ======
23*  Lawson, C. L., (JPL), Hanson, R. J., (SNLA),
24*  Kincaid, D. R., (U. of Texas), Krogh, F. T., (JPL)
25*
26*  ARGUMENTS
27*  =========
28*
29*  N      (input) INTEGER
30*         number of elements in input vector(s)
31*
32*  SB     (input) REAL
33*         single precision scalar to be added to inner product
34*
35*  SX     (input) REAL array, dimension (N)
36*         single precision vector with N elements
37*
38*  INCX   (input) INTEGER
39*         storage spacing between elements of SX
40*
41*  SY     (input) REAL array, dimension (N)
42*         single precision vector with N elements
43*
44*  INCY   (input) INTEGER
45*         storage spacing between elements of SY
46*
47*  SDSDOT (output) REAL
48*         single precision dot product (SB if N .LE. 0)
49*
50*  REFERENCES
51*  ==========
52*
53*  C. L. Lawson, R. J. Hanson, D. R. Kincaid and F. T.
54*  Krogh, Basic linear algebra subprograms for Fortran
55*  usage, Algorithm No. 539, Transactions on Mathematical
56*  Software 5, 3 (September 1979), pp. 308-323.
57*
58*  REVISION HISTORY  (YYMMDD)
59*  ==========================
60*     
61*  791001  DATE WRITTEN
62*  890531  Changed all specific intrinsics to generic.  (WRB)
63*  890831  Modified array declarations.  (WRB)
64*  890831  REVISION DATE from Version 3.2
65*  891214  Prologue converted to Version 4.0 format.  (BAB)
66*  920310  Corrected definition of LX in DESCRIPTION.  (WRB)
67*  920501  Reformatted the REFERENCES section.  (WRB)
68*  070118  Reformat to LAPACK coding style
69*
70*  =====================================================================
71*
72*     .. Local Scalars ..
73      DOUBLE PRECISION DSDOT
74      INTEGER I,KX,KY,NS
75*     ..
76*     .. Intrinsic Functions ..
77      INTRINSIC DBLE
78*     ..
79      DSDOT = SB
80      IF (N.LE.0) GO TO 30
81      IF (INCX.EQ.INCY .AND. INCX.GT.0) GO TO 40
82*
83*     Code for unequal or nonpositive increments.
84*
85      KX = 1
86      KY = 1
87      IF (INCX.LT.0) KX = 1 + (1-N)*INCX
88      IF (INCY.LT.0) KY = 1 + (1-N)*INCY
89      DO 10 I = 1,N
90          DSDOT = DSDOT + DBLE(SX(KX))*DBLE(SY(KY))
91          KX = KX + INCX
92          KY = KY + INCY
93   10 CONTINUE
94   30 SDSDOT = DSDOT
95      RETURN
96*
97*     Code for equal and positive increments.
98*
99   40 NS = N*INCX
100      DO 50 I = 1,NS,INCX
101          DSDOT = DSDOT + DBLE(SX(I))*DBLE(SY(I))
102   50 CONTINUE
103      SDSDOT = DSDOT
104      RETURN
105      END
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