The calculation is first carried out with some precision p. If interval arithmetic means that the ultimate answer may be inaccurate, the computation is redone with larger and higher precisions till the ultimate interval is a reasonable dimension. The IEEE standard continues on this custom and has NaNs (Not a Number) and infinities. Without any special quantities, there isn’t any good approach to deal with distinctive situations like taking the sq. root of a adverse number, aside from aborting computation. Under IBM System/370 FORTRAN, the default motion in response to computing the sq. root of a negative number like -4 results in the printing of an error message.
Since every bit pattern represents a valid number, the return value of sq. root must be some floating-point number. On some floating-level hardware every bit pattern represents a sound floating-point number.
However, proofs on this system can’t verify the algorithms of sections … Read More