!DECK DAXPY SUBROUTINE DAXPY (N, DA, DX, INCX, DY, INCY) !***BEGIN PROLOGUE DAXPY !***PURPOSE Compute a constant times a vector plus a vector. !***LIBRARY SLATEC (BLAS) !***CATEGORY D1A7 !***TYPE DOUBLE PRECISION (SAXPY-S, DAXPY-D, CAXPY-C) !***KEYWORDS BLAS, LINEAR ALGEBRA, TRIAD, 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) ! DA double precision scalar multiplier ! 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-- ! DY double precision result (unchanged if N .LE. 0) ! ! Overwrite double precision DY with double precision DA*DX + DY. ! For I = 0 to N-1, replace DY(LY+I*INCY) with DA*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 DAXPY INTEGER N DOUBLE PRECISION DX(N), DY(N), DA !***FIRST EXECUTABLE STATEMENT DAXPY IF (N.LE.0 .OR. DA.EQ.0.0D0) 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 DY(IY) = DY(IY) + DA*DX(IX) 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 4. ! 20 M = MOD(N,4) IF (M .EQ. 0) GO TO 40 DO 30 I = 1,M DY(I) = DY(I) + DA*DX(I) 30 CONTINUE IF (N .LT. 4) RETURN 40 MP1 = M + 1 DO 50 I = MP1,N,4 DY(I) = DY(I) + DA*DX(I) DY(I+1) = DY(I+1) + DA*DX(I+1) DY(I+2) = DY(I+2) + DA*DX(I+2) DY(I+3) = DY(I+3) + DA*DX(I+3) 50 CONTINUE RETURN ! ! Code for equal, positive, non-unit increments. ! 60 NS = N*INCX DO 70 I = 1,NS,INCX DY(I) = DA*DX(I) + DY(I) 70 CONTINUE RETURN END