s_scalbn.c 1.9 KB

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  1. #include "SDL_internal.h"
  2. /*
  3. * ====================================================
  4. * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
  5. *
  6. * Developed at SunPro, a Sun Microsystems, Inc. business.
  7. * Permission to use, copy, modify, and distribute this
  8. * software is freely granted, provided that this notice
  9. * is preserved.
  10. * ====================================================
  11. */
  12. /*
  13. * scalbln(double x, long n)
  14. * scalbln(x,n) returns x * 2**n computed by exponent
  15. * manipulation rather than by actually performing an
  16. * exponentiation or a multiplication.
  17. */
  18. #include "math_libm.h"
  19. #include "math_private.h"
  20. #include <limits.h>
  21. #ifdef __WATCOMC__ /* Watcom defines huge=__huge */
  22. #undef huge
  23. #endif
  24. static const double
  25. two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
  26. twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
  27. huge = 1.0e+300,
  28. tiny = 1.0e-300;
  29. double scalbln(double x, long n)
  30. {
  31. int32_t k, hx, lx;
  32. EXTRACT_WORDS(hx, lx, x);
  33. k = (hx & 0x7ff00000) >> 20; /* extract exponent */
  34. if (k == 0) { /* 0 or subnormal x */
  35. if ((lx | (hx & 0x7fffffff)) == 0)
  36. return x; /* +-0 */
  37. x *= two54;
  38. GET_HIGH_WORD(hx, x);
  39. k = ((hx & 0x7ff00000) >> 20) - 54;
  40. }
  41. if (k == 0x7ff)
  42. return x + x; /* NaN or Inf */
  43. k = (int32_t)(k + n);
  44. if (k > 0x7fe)
  45. return huge * copysign(huge, x); /* overflow */
  46. if (n < -50000)
  47. return tiny * copysign(tiny, x); /* underflow */
  48. if (k > 0) { /* normal result */
  49. SET_HIGH_WORD(x, (hx & 0x800fffff) | (k << 20));
  50. return x;
  51. }
  52. if (k <= -54) {
  53. if (n > 50000) /* in case integer overflow in n+k */
  54. return huge * copysign(huge, x); /* overflow */
  55. return tiny * copysign(tiny, x); /* underflow */
  56. }
  57. k += 54; /* subnormal result */
  58. SET_HIGH_WORD(x, (hx & 0x800fffff) | (k << 20));
  59. return x * twom54;
  60. }
  61. libm_hidden_def(scalbln)
  62. double scalbn(double x, int n)
  63. {
  64. return scalbln(x, n);
  65. }
  66. libm_hidden_def(scalbn)