Rounding floats from 64bit to 32bit (double to single) with 0.5 rule

[hale812]

Seems like single() function truncates IEEE 754 double float by simply
omitting irrelevant bits.

This however becomes a problem of error accumulation, when converting data
for 32bit DSP with a long path of computation.

For better results, the number should be rounded to Sgn1Exp8/Sig23 in binary
representation before truncating.

Is there a tool for Octave for rounded conversion to Single; or just binary
rounding(while maintaining irrelevant bits as zeroes in Double numbers) ?



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