dscal.f 2.4 KB

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  1. *DECK DSCAL
  2. SUBROUTINE DSCAL (N, DA, DX, INCX)
  3. C***BEGIN PROLOGUE DSCAL
  4. C***PURPOSE Multiply a vector by a constant.
  5. C***LIBRARY SLATEC (BLAS)
  6. C***CATEGORY D1A6
  7. C***TYPE DOUBLE PRECISION (SSCAL-S, DSCAL-D, CSCAL-C)
  8. C***KEYWORDS BLAS, LINEAR ALGEBRA, SCALE, VECTOR
  9. C***AUTHOR Lawson, C. L., (JPL)
  10. C Hanson, R. J., (SNLA)
  11. C Kincaid, D. R., (U. of Texas)
  12. C Krogh, F. T., (JPL)
  13. C***DESCRIPTION
  14. C
  15. C B L A S Subprogram
  16. C Description of Parameters
  17. C
  18. C --Input--
  19. C N number of elements in input vector(s)
  20. C DA double precision scale factor
  21. C DX double precision vector with N elements
  22. C INCX storage spacing between elements of DX
  23. C
  24. C --Output--
  25. C DX double precision result (unchanged if N.LE.0)
  26. C
  27. C Replace double precision DX by double precision DA*DX.
  28. C For I = 0 to N-1, replace DX(IX+I*INCX) with DA * DX(IX+I*INCX),
  29. C where IX = 1 if INCX .GE. 0, else IX = 1+(1-N)*INCX.
  30. C
  31. C***REFERENCES C. L. Lawson, R. J. Hanson, D. R. Kincaid and F. T.
  32. C Krogh, Basic linear algebra subprograms for Fortran
  33. C usage, Algorithm No. 539, Transactions on Mathematical
  34. C Software 5, 3 (September 1979), pp. 308-323.
  35. C***ROUTINES CALLED (NONE)
  36. C***REVISION HISTORY (YYMMDD)
  37. C 791001 DATE WRITTEN
  38. C 890831 Modified array declarations. (WRB)
  39. C 890831 REVISION DATE from Version 3.2
  40. C 891214 Prologue converted to Version 4.0 format. (BAB)
  41. C 900821 Modified to correct problem with a negative increment.
  42. C (WRB)
  43. C 920501 Reformatted the REFERENCES section. (WRB)
  44. C***END PROLOGUE DSCAL
  45. DOUBLE PRECISION DA, DX(*)
  46. INTEGER I, INCX, IX, M, MP1, N
  47. C***FIRST EXECUTABLE STATEMENT DSCAL
  48. IF (N .LE. 0) RETURN
  49. IF (INCX .EQ. 1) GOTO 20
  50. C
  51. C Code for increment not equal to 1.
  52. C
  53. IX = 1
  54. IF (INCX .LT. 0) IX = (-N+1)*INCX + 1
  55. DO 10 I = 1,N
  56. DX(IX) = DA*DX(IX)
  57. IX = IX + INCX
  58. 10 CONTINUE
  59. RETURN
  60. C
  61. C Code for increment equal to 1.
  62. C
  63. C Clean-up loop so remaining vector length is a multiple of 5.
  64. C
  65. 20 M = MOD(N,5)
  66. IF (M .EQ. 0) GOTO 40
  67. DO 30 I = 1,M
  68. DX(I) = DA*DX(I)
  69. 30 CONTINUE
  70. IF (N .LT. 5) RETURN
  71. 40 MP1 = M + 1
  72. DO 50 I = MP1,N,5
  73. DX(I) = DA*DX(I)
  74. DX(I+1) = DA*DX(I+1)
  75. DX(I+2) = DA*DX(I+2)
  76. DX(I+3) = DA*DX(I+3)
  77. DX(I+4) = DA*DX(I+4)
  78. 50 CONTINUE
  79. RETURN
  80. END