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extreme negative underflows yield -0, expressions like 1/x
3
produce the correct sign for ° when x is tiny and negative.
Addition and subtraction produce -0 only in these cases:
(-0) - (+0) yields -0
(-0) + (-0) yields -0
When rounding downward, with
x finite,
x-x yields -0
x+(-x) yields -0
The square root of -0 is -0.
The sign of zero is important in complex arithmetic (Kahan
1987).
iMalc will convert any display of -0 or +0 to read 0.
The following are the ranges for numbers and functions allowed
by iMalc.
Range of numbers
Maximum positive 1.8x10
+308
Minimum positive norm 2.2x10
Ð308
Minimum positive denorm 4.9x10
Ð324
Maximum negative denorm -4.9x10
Ð324
Maximum negative norm -2.2x10
Ð308
Minimum negative -1.8x10
+308
Ranges of functions
Operation Result
e
x
(+0) +1
e
x
(Ð0) +1
e
x
(NaN) NaN
e
x
(+°) +°
e
x
(а) +0
ln(
x) for x<0 NaN
ln(+1) +0
iMalc Manual
Technical Considerations
Technical Considerations
40
Ranges