JuliaRandom / JuliaRandom/RandomNumbers.jl
Conversion to Float
- Lingua principale
- Julia
- Stelle
- 100
- Fork
- 23
- Metriche di merge delle PR
- Nessuna PR unita negli ultimi 30g
Descrizione
The "obvious" approach of converting to a float, then multiplying by a scale factor is slow, and has the potential to give an answer of `1.0`.
The easiest option is:
``` julia
import Base: significand_mask, exponent_one
f1(u::UInt64) = reinterpret(Float64, exponent_one(Float64) | significand_mask(Float64) & u) - 1.0
```
unfortunately this has the downside that the last bit will always be zero, so you only get 52 bits of randomness per float: see https://github.com/JuliaLang/julia/issues/16344.
A slightly more advanced option (based on [this proposal](http://stackoverflow.com/a/35351145/392585)) is:
``` julia
import Base: significand_mask, significand_bits, exponent_half
function f2(u::UInt64)
f = reinterpret(Float64, exponent_half(Float64) | 0x001f_ffff_ffff_ffff & u)
if (u >> significand_bits(Float64)) &1 == 1
f-= 0.5
end
f
end
```
This gets us 53 bits, but introduces a branch. There might be some clever stuff we can do here though.
Guida per i contributori
Nessuna guida per i contributori indicizzata per questo repository
Direzione di ricerca
Start with the current float-conversion approach described in the issue and compare the f1 and f2 alternatives, including the linked Julia issue about the lost last bit. The change is complete when conversion avoids producing 1.0 while preserving 53 bits of randomness without an unacceptable performance cost.
Scritto dal modello di indicizzazione a partire dal testo della issue.
Valutazione
- Stack tecnologico
- julia
- Ambito
- performance
- Tipo di issue
- Refactoring
- Difficoltà
- 4/5
- Tempo stimato
- 3-5 giorni
- Stato di attività
- Ferma
- Chiarezza
- Abbastanza chiara
- Idoneità per principianti
- 35/100