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89 lines
2.8 KiB
Fortran
89 lines
2.8 KiB
Fortran
*DECK SDOT
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REAL FUNCTION SDOT (N, SX, INCX, SY, INCY)
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C***BEGIN PROLOGUE SDOT
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C***PURPOSE Compute the inner product of two vectors.
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C***LIBRARY SLATEC (BLAS)
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C***CATEGORY D1A4
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C***TYPE SINGLE PRECISION (SDOT-S, DDOT-D, CDOTU-C)
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C***KEYWORDS BLAS, INNER PRODUCT, LINEAR ALGEBRA, VECTOR
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C***AUTHOR Lawson, C. L., (JPL)
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C Hanson, R. J., (SNLA)
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C Kincaid, D. R., (U. of Texas)
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C Krogh, F. T., (JPL)
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C***DESCRIPTION
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C
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C B L A S Subprogram
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C Description of Parameters
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C
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C --Input--
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C N number of elements in input vector(s)
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C SX single precision vector with N elements
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C INCX storage spacing between elements of SX
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C SY single precision vector with N elements
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C INCY storage spacing between elements of SY
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C
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C --Output--
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C SDOT single precision dot product (zero if N .LE. 0)
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C
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C Returns the dot product of single precision SX and SY.
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C SDOT = sum for I = 0 to N-1 of SX(LX+I*INCX) * SY(LY+I*INCY),
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C where LX = 1 if INCX .GE. 0, else LX = 1+(1-N)*INCX, and LY is
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C defined in a similar way using INCY.
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C
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C***REFERENCES C. L. Lawson, R. J. Hanson, D. R. Kincaid and F. T.
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C Krogh, Basic linear algebra subprograms for Fortran
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C usage, Algorithm No. 539, Transactions on Mathematical
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C Software 5, 3 (September 1979), pp. 308-323.
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C***ROUTINES CALLED (NONE)
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C***REVISION HISTORY (YYMMDD)
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C 791001 DATE WRITTEN
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C 890831 Modified array declarations. (WRB)
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C 890831 REVISION DATE from Version 3.2
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C 891214 Prologue converted to Version 4.0 format. (BAB)
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C 920310 Corrected definition of LX in DESCRIPTION. (WRB)
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C 920501 Reformatted the REFERENCES section. (WRB)
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C***END PROLOGUE SDOT
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REAL SX(*), SY(*)
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C***FIRST EXECUTABLE STATEMENT SDOT
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SDOT = 0.0E0
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IF (N .LE. 0) RETURN
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IF (INCX .EQ. INCY) IF (INCX-1) 5,20,60
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C
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C Code for unequal or nonpositive increments.
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C
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5 IX = 1
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IY = 1
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IF (INCX .LT. 0) IX = (-N+1)*INCX + 1
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IF (INCY .LT. 0) IY = (-N+1)*INCY + 1
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DO 10 I = 1,N
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SDOT = SDOT + SX(IX)*SY(IY)
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IX = IX + INCX
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IY = IY + INCY
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10 CONTINUE
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RETURN
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C
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C Code for both increments equal to 1.
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C
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C Clean-up loop so remaining vector length is a multiple of 5.
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C
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20 M = MOD(N,5)
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IF (M .EQ. 0) GO TO 40
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DO 30 I = 1,M
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SDOT = SDOT + SX(I)*SY(I)
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30 CONTINUE
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IF (N .LT. 5) RETURN
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40 MP1 = M + 1
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DO 50 I = MP1,N,5
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SDOT = SDOT + SX(I)*SY(I) + SX(I+1)*SY(I+1) + SX(I+2)*SY(I+2) +
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1 SX(I+3)*SY(I+3) + SX(I+4)*SY(I+4)
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50 CONTINUE
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RETURN
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C
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C Code for equal, positive, non-unit increments.
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C
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60 NS = N*INCX
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DO 70 I = 1,NS,INCX
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SDOT = SDOT + SX(I)*SY(I)
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70 CONTINUE
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RETURN
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END
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