Category talk:LSL Integer

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Revision as of 11:10, 27 June 2009 by Ppaatt Lynagh (talk | contribs) (Answer why -2147483648 == ( 2147483647+1 ) in 32-bit two's complement arithmetic)
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Are these numbers correct? "values between −2,147,483,648 and +2,147,483,647" . And if they are why the difference between the figures? -- Eddy (talk|contribs) 17:30, 27 June 2009 (UTC)

Aye correct as saved.
This truth makes more visual sense in hex. A 32-bit two's complement integer 0x0, or +0x1 thru +0x7FFFffff, or -1 thru -0x7FFFffff, or -0x80000000. In decimal, that is 0, or 1 thru 2147483647, or -1 thru -2147483647, or -2147483648. The assymetry comes from the zero: both positive integers and zero have the uppermost most bit of the 32 bits zeroed, so the list of positive values loses one element to make room for zero.
A correspondingly counterintuitive result here is that negating -2147483648 has no effect (-2147483648 == ( 0 - -2147483648 ) == ( 2147483647 + 1 ) ). Ugly as all this is, it's less ugly than the known alternatives, such as the one's complement encoding that can have two zeroes: a positive zero and a negative zero. All that I'm saying here is the convention I remember learning years ago, I imagine LSL behaves this way at these limits, but I haven't tried to see yet ... -- Ppaatt Lynagh 18:10, 27 June 2009 (UTC)