!DECK DDOT DOUBLE PRECISION FUNCTION DDOT (N, DX, INCX, DY, INCY) !***BEGIN PROLOGUE DDOT !***PURPOSE Compute the inner product of two vectors. !***LIBRARY SLATEC (BLAS) !***CATEGORY D1A4 !***TYPE DOUBLE PRECISION (SDOT-S, DDOT-D, CDOTU-C) !***KEYWORDS BLAS, INNER PRODUCT, LINEAR ALGEBRA, VECTOR !***AUTHOR Lawson, C. L., (JPL) ! Hanson, R. J., (SNLA) ! Kincaid, D. R., (U. of Texas) ! Krogh, F. T., (JPL) !***DESCRIPTION ! ! B L A S Subprogram ! Description of Parameters ! ! --Input-- ! N number of elements in input vector(s) ! DX double precision vector with N elements ! INCX storage spacing between elements of DX ! DY double precision vector with N elements ! INCY storage spacing between elements of DY ! ! --Output-- ! DDOT double precision dot product (zero if N .LE. 0) ! ! Returns the dot product of double precision DX and DY. ! DDOT = sum for I = 0 to N-1 of DX(LX+I*INCX) * DY(LY+I*INCY), ! where LX = 1 if INCX .GE. 0, else LX = 1+(1-N)*INCX, and LY is ! defined in a similar way using INCY. ! !***REFERENCES C. L. Lawson, R. J. Hanson, D. R. Kincaid and F. T. ! Krogh, Basic linear algebra subprograms for Fortran ! usage, Algorithm No. 539, Transactions on Mathematical ! Software 5, 3 (September 1979), pp. 308-323. !***ROUTINES CALLED (NONE) !***REVISION HISTORY (YYMMDD) ! 791001 DATE WRITTEN ! 890831 Modified array declarations. (WRB) ! 890831 REVISION DATE from Version 3.2 ! 891214 Prologue converted to Version 4.0 format. (BAB) ! 920310 Corrected definition of LX in DESCRIPTION. (WRB) ! 920501 Reformatted the REFERENCES section. (WRB) !***END PROLOGUE DDOT DOUBLE PRECISION DX(*), DY(*) !***FIRST EXECUTABLE STATEMENT DDOT DDOT = 0.0D0 IF (N .LE. 0) RETURN IF (INCX .EQ. INCY) IF (INCX-1) 5,20,60 ! ! Code for unequal or nonpositive increments. ! 5 IX = 1 IY = 1 IF (INCX .LT. 0) IX = (-N+1)*INCX + 1 IF (INCY .LT. 0) IY = (-N+1)*INCY + 1 DO 10 I = 1,N DDOT = DDOT + DX(IX)*DY(IY) IX = IX + INCX IY = IY + INCY 10 CONTINUE RETURN ! ! Code for both increments equal to 1. ! ! Clean-up loop so remaining vector length is a multiple of 5. ! 20 M = MOD(N,5) IF (M .EQ. 0) GO TO 40 DO 30 I = 1,M DDOT = DDOT + DX(I)*DY(I) 30 CONTINUE IF (N .LT. 5) RETURN 40 MP1 = M + 1 DO 50 I = MP1,N,5 DDOT = DDOT + DX(I)*DY(I) + DX(I+1)*DY(I+1) + DX(I+2)*DY(I+2) + & DX(I+3)*DY(I+3) + DX(I+4)*DY(I+4) 50 CONTINUE RETURN ! ! Code for equal, positive, non-unit increments. ! 60 NS = N*INCX DO 70 I = 1,NS,INCX DDOT = DDOT + DX(I)*DY(I) 70 CONTINUE RETURN END