d1mach.f 3.3 KB

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  1. *DECK D1MACH
  2. DOUBLE PRECISION FUNCTION D1MACH(I)
  3. C***BEGIN PROLOGUE D1MACH
  4. C***DATE WRITTEN 750101 (YYMMDD)
  5. C***REVISION DATE 890213 (YYMMDD)
  6. C***CATEGORY NO. R1
  7. C***KEYWORDS LIBRARY=SLATEC,TYPE=DOUBLE PRECISION(R1MACH-S D1MACH-D),
  8. C MACHINE CONSTANTS
  9. C***AUTHOR FOX, P. A., (BELL LABS)
  10. C HALL, A. D., (BELL LABS)
  11. C SCHRYER, N. L., (BELL LABS)
  12. C***PURPOSE Returns double precision machine dependent constants
  13. C***DESCRIPTION
  14. C
  15. C D1MACH can be used to obtain machine-dependent parameters
  16. C for the local machine environment. It is a function
  17. C subprogram with one (input) argument, and can be called
  18. C as follows, for example
  19. C
  20. C D = D1MACH(I)
  21. C
  22. C where I=1,...,5. The (output) value of D above is
  23. C determined by the (input) value of I. The results for
  24. C various values of I are discussed below.
  25. C
  26. C D1MACH( 1) = B**(EMIN-1), the smallest positive magnitude.
  27. C D1MACH( 2) = B**EMAX*(1 - B**(-T)), the largest magnitude.
  28. C D1MACH( 3) = B**(-T), the smallest relative spacing.
  29. C D1MACH( 4) = B**(1-T), the largest relative spacing.
  30. C D1MACH( 5) = LOG10(B)
  31. C
  32. C Assume double precision numbers are represented in the T-digit,
  33. C base-B form
  34. C
  35. C sign (B**E)*( (X(1)/B) + ... + (X(T)/B**T) )
  36. C
  37. C where 0 .LE. X(I) .LT. B for I=1,...,T, 0 .LT. X(1), and
  38. C EMIN .LE. E .LE. EMAX.
  39. C
  40. C The values of B, T, EMIN and EMAX are provided in I1MACH as
  41. C follows:
  42. C I1MACH(10) = B, the base.
  43. C I1MACH(14) = T, the number of base-B digits.
  44. C I1MACH(15) = EMIN, the smallest exponent E.
  45. C I1MACH(16) = EMAX, the largest exponent E.
  46. C
  47. C To alter this function for a particular environment,
  48. C the desired set of DATA statements should be activated by
  49. C removing the C from column 1. Also, the values of
  50. C D1MACH(1) - D1MACH(4) should be checked for consistency
  51. C with the local operating system.
  52. C
  53. C***REFERENCES FOX P.A., HALL A.D., SCHRYER N.L.,*FRAMEWORK FOR A
  54. C PORTABLE LIBRARY*, ACM TRANSACTIONS ON MATHEMATICAL
  55. C SOFTWARE, VOL. 4, NO. 2, JUNE 1978, PP. 177-188.
  56. C***ROUTINES CALLED XERROR
  57. C***END PROLOGUE D1MACH
  58. C
  59. INTEGER SMALL(4)
  60. INTEGER LARGE(4)
  61. INTEGER RIGHT(4)
  62. INTEGER DIVER(4)
  63. INTEGER LOG10(4)
  64. C
  65. DOUBLE PRECISION DMACH(5)
  66. SAVE DMACH
  67. C
  68. C EQUIVALENCE (DMACH(1),SMALL(1))
  69. C EQUIVALENCE (DMACH(2),LARGE(1))
  70. C EQUIVALENCE (DMACH(3),RIGHT(1))
  71. C EQUIVALENCE (DMACH(4),DIVER(1))
  72. C EQUIVALENCE (DMACH(5),LOG10(1))
  73. C
  74. C MACHINE CONSTANTS FOR THE IBM PC
  75. C ASSUMES THAT ALL ARITHMETIC IS DONE IN DOUBLE PRECISION
  76. C ON 8088, I.E., NOT IN 80 BIT FORM FOR THE 8087.
  77. C
  78. DATA DMACH(1) / 2.23D-308 /
  79. C DATA SMALL(1),SMALL(2) / 2002288515, 1050897 /
  80. DATA DMACH(2) / 1.79D-308 /
  81. C DATA LARGE(1),LARGE(2) / 1487780761, 2146426097 /
  82. DATA DMACH(3) / 1.11D-16 /
  83. C DATA RIGHT(1),RIGHT(2) / -1209488034, 1017118298 /
  84. DATA DMACH(4) / 2.22D-16 /
  85. C DATA DIVER(1),DIVER(2) / -1209488034, 1018166874 /
  86. DATA DMACH(5) / 0.3010299956639812 /
  87. C DATA LOG10(1),LOG10(2) / 1352628735, 1070810131 /
  88. C
  89. C
  90. C***FIRST EXECUTABLE STATEMENT D1MACH
  91. IF (I .LT. 1 .OR. I .GT. 5)
  92. 1 CALL XERROR ('D1MACH -- I OUT OF BOUNDS', 25, 1, 2)
  93. C
  94. D1MACH = DMACH(I)
  95. RETURN
  96. C
  97. END