bits.go 1.7 KB

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  1. package math32
  2. const (
  3. uvnan = 0x7FE00000
  4. uvinf = 0x7F800000
  5. uvone = 0x3f800000
  6. uvneginf = 0xFF800000
  7. mask = 0xFF
  8. shift = 32 - 8 - 1
  9. bias = 127
  10. signMask = 1 << 31
  11. fracMask = 1<<shift - 1
  12. )
  13. // Inf returns positive infinity if sign >= 0, negative infinity if sign < 0.
  14. func Inf(sign int) float32 {
  15. var v uint32
  16. if sign >= 0 {
  17. v = uvinf
  18. } else {
  19. v = uvneginf
  20. }
  21. return Float32frombits(v)
  22. }
  23. // NaN returns an IEEE 754 ``not-a-number'' value.
  24. func NaN() float32 { return Float32frombits(uvnan) }
  25. // IsNaN reports whether f is an IEEE 754 ``not-a-number'' value.
  26. func IsNaN(f float32) (is bool) {
  27. // IEEE 754 says that only NaNs satisfy f != f.
  28. // To avoid the floating-point hardware, could use:
  29. // x := Float32bits(f)
  30. // return uint32(x>>shift)&mask == mask && x != uvinf && x != uvneginf
  31. return f != f
  32. }
  33. // IsInf reports whether f is an infinity, according to sign.
  34. // If sign > 0, IsInf reports whether f is positive infinity.
  35. // If sign < 0, IsInf reports whether f is negative infinity.
  36. // If sign == 0, IsInf reports whether f is either infinity.
  37. func IsInf(f float32, sign int) bool {
  38. // Test for infinity by comparing against maximum float.
  39. // To avoid the floating-point hardware, could use:
  40. // x := Float32bits(f)
  41. // return sign >= 0 && x == uvinf || sign <= 0 && x == uvneginf
  42. return sign >= 0 && f > MaxFloat32 || sign <= 0 && f < -MaxFloat32
  43. }
  44. // normalize returns a normal number y and exponent exp
  45. // satisfying x == y × 2**exp. It assumes x is finite and non-zero.
  46. func normalize(x float32) (y float32, exp int) {
  47. const SmallestNormal = 1.1754943508222875079687365e-38 // 2**-(127 - 1)
  48. if Abs(x) < SmallestNormal {
  49. return x * (1 << shift), -shift
  50. }
  51. return x, 0
  52. }