On 2015-02-13, Dave Angel <da...@davea.name> wrote: > On 02/13/2015 03:33 PM, Grant Edwards wrote: >> On 2015-02-13, Ian Kelly <ian.g.ke...@gmail.com> wrote: >> >>> Significant digits are within the precision of the calculation. >>> Writing 1.230 indicates that the fourth digit is known to be zero. >>> Writing 1.23 outside a context of exact calculation indicates that the >>> fourth digit is unknown due to insufficient precision. >> >> I knew that, but I was asking in the context of float/decimal's >> formatting function. I didn't realize that float and/or decimal had a >> "significant digit" property, and therefore possess significant vs. >> insignificant trailing zeros when represented in base-10. > > Just jumping in here, and somebody please correct me if I mess it up. > > Built-in binary floating point (float) has a fixed number of bits for > mantissa, and separate bits for exponent and sign. Because of those > fixed number of bits, no assumption can be made as to how many of them > are relevant.
Right. > On the other hand, the Decimal package has a way that the programmer > can tell how many digits to use at each stage of the calculation. That's what surpised me. From TFM: https://docs.python.org/2/library/decimal.html: * The decimal module incorporates a notion of significant places so that 1.30 + 1.20 is 2.50. The trailing zero is kept to indicate significance. This is the customary presentation for monetary applications. For multiplication, the “schoolbook” approach uses all the figures in the multiplicands. For instance, 1.3 * 1.2 gives 1.56 while 1.30 * 1.20 gives 1.5600. > So if the programmer bothered to set it to the correct precision, the > print logic (could) use that to decide about trailing zeroes. I have > no idea whether it does, but this thread would seem to say it does. It seems to. Pretty cool. -- Grant Edwards grant.b.edwards Yow! LOOK!! Sullen at American teens wearing gmail.com MADRAS shorts and "Flock of Seagulls" HAIRCUTS! -- https://mail.python.org/mailman/listinfo/python-list
