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Issues with .99999999999...

Here is a result that I found surprising and I don't understand completely what corercian is causing it.

sage: int(.9999999999999999)
0
sage: int(.99999999999999999)
1
sage: int(0.99999999999999999)
0
sage: int(0.9999999999999999)
0
sage: int(0.999999999999999999999999999999999)
0

What is going on?

More to play with:

sage: a=.99999999999999999; b=0.999999999999999999999999999999999
sage: a<b
False
sage: int(a)<int(b)
False

and

sage: a=.999999999999999990; b=0.999999999999999999999999999999999
sage: int(a)<int(b)
False
sage: a<b
True
sage: a=.999999999999999997
sage: a<b
False
sage: a=.999999999999999996
sage: a<b
True

Issues with .99999999999...

Here is a result that I found surprising and I don't understand completely what corercian is causing it.

sage: int(.9999999999999999)
0
sage: int(.99999999999999999)
1
sage: int(0.99999999999999999)
0
sage: int(0.9999999999999999)
0
sage: int(0.999999999999999999999999999999999)
0

What is going on?

More to play with:

sage: a=.99999999999999999; b=0.999999999999999999999999999999999
sage: a<b
False
sage: int(a)<int(b)
False

and

sage: a=.999999999999999990; b=0.999999999999999999999999999999999
sage: int(a)<int(b)
False
sage: a<b
True
sage: a=.999999999999999997
sage: a<b
False
sage: a=.999999999999999996
sage: a<b
True