#### rounding fractions

Daniel Hirst <daniel.hirst@...>

I have had problems trying to round numbers to a fractional value.

Let's say I have a variable called "percent" which contains the value
72.356875421025
and I should like to round it to an accuracy of 0.01 percent. I have
tried

round(percent*100)/100

but this gives me 72.359999999999999 instead of the expected 72.36

I also tried round(percent*100)/round(100) but that gives the same
result.
Is there any way round this? (sorry no pun intended!)

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AGUSTI XARAU <xarausuport@...>

-----Mensaje original-----
De: Daniel Hirst [mailto:daniel.hirst@...]
Enviado el: mircoles, 15 de noviembre de 2000 11:11
Para: praat-users@...
Asunto: [praat-users] rounding fractions

I thinks.... is posible? INT(percent*100+0.5)/100

BYE

Paul Boersma <paul.boersma@...>

Daniel Hirst wrote:

I have had problems trying to round numbers to a fractional value.

Let's say I have a variable called "percent" which contains the value
72.356875421025
and I should like to round it to an accuracy of 0.01 percent. I have
tried

round(percent*100)/100

but this gives me 72.359999999999999 instead of the expected 72.36
This number, 72.359999999999999, is the nearest 17-digit representation
of the 64-bit floating point number nearest to 72.36.

The script

a = 72.36
echo 'a'

gives the same result, and it is correct, because 72.36 has no exact
representation in 64-bit floating point.

If you use this rounding for drawing the number in a picture,
you can use explicit number-to-string conversion. Currently,
the formula is awkward:

a = round (percent * 100)
a\$ = "'a'"
a\$ = left\$ (a\$, length (a\$) - 2) + "." + right\$ (a\$, 2)

In Praat 3.9.5, I will have added a nicer way:

a\$ = fixed\$ (percent, 2)

--

Paul Boersma
Institute of Phonetic Sciences, University of Amsterdam
Herengracht 338, 1016CG Amsterdam, The Netherlands
http://www.fon.hum.uva.nl/paul/