[Rd] R 2.5.0 refuses to print enough digits to recover exact floating point values

Petr Savicky savicky at cs.cas.cz
Wed May 23 18:55:24 CEST 2007


> > Well, okay, now what about dump, write.table, save, etc?
> 
> save() uses the required precision. For exp(1) it stores 
> "2.718281828459045" and you will see that
> 
> exp(1) == 2.718281828459045  is TRUE
> 
save(...,ascii=TRUE) uses 16 digit precision, but this seems
not to be sufficient. In R-2.5.0, I obtained:

  > otab <- data.frame(val=1+1/(1:1000));
  > ntab <- otab;
  > save(otab,file="save.txt",ascii=TRUE);
  > rm(otab);
  > load("save.txt");
  
  > cbind(table(otab[,1]-ntab[,1]))
                        [,1]
  -4.44089209850063e-16  159
  -2.22044604925031e-16  220
  0                      240
  2.22044604925031e-16   213
  4.44089209850063e-16   168

So, most of the numbers are changed. The changes are within the
last two bits. The last bit represents the difference
2^(-52) = 2.220446e-16.

Petr.



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