On Tue, Jun 12, 2012 at 3:54 PM, rych <rych...@gmail.com> wrote:
> Interval arithmetics also gives False,
>
> sage: from mpmath import iv
> sage: # iv.prec = 24
> sage: # iv.prec = 53 # for double precision
> sage: x = 0.1
> sage: iv.prec = x.prec() # precision of Sage Real numbers, 53
> sage: iv.pretty = True
> sage: iv.mpf('10.44')
> [10.439999999999999503, 10.440000000000001279]
> sage: iv.mpf('10.44')-iv.mpf('10.30')
> [0.13999999999999879208, 0.14000000000000234479]
> sage: iv.mpf('0.14')
> [0.13999999999999998557, 0.14000000000000001332]
> sage: iv.mpf('10.44')-iv.mpf('10.30') == iv.mpf('0.14')
> False
> sage: iv.mpf('10.44')==iv.mpf('10.44')
> True
Another approach to interval arithmetic:
sage: RIF
Real Interval Field with 53 bits of precision
sage: RIF('10.44') - RIF('10.30')
0.14000000000000?
sage: RIF('10.44') - RIF('10.30') == RIF('0.14')
False
sage: a = RIF('10.44') - RIF('10.30'); b = RIF('0.14')
sage: a in b
False
sage: b in a
True
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