choose number of significant digits in matlab for whole code
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I'm trying to format my code in such a way that a chosen number of significant digits are saved, throughout the whole code. Basically, I'm looking for something that does the same as the function round(x, d, 'significant'), but will retain this effect during calculations. Any ideas?
matlab significant-digits
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I'm trying to format my code in such a way that a chosen number of significant digits are saved, throughout the whole code. Basically, I'm looking for something that does the same as the function round(x, d, 'significant'), but will retain this effect during calculations. Any ideas?
matlab significant-digits
New contributor
2
You are aware that the round off error is going to accumulate, right? e.g. if you are only interested in integers then2.5 + 3.5
would be interpreted as2 + 3 == 5
whereas the real result is6
and (obviously)5 ~= floor(6)
so the point at which you round is important.
– Nicky Mattsson
yesterday
Since the OP specifically asks for this effect to be retained in calculations, I'd say it is safe to assume that they're aware of rounding issues, Nicky. On topic: check out the documentation on digits and vpa if you have access to the symbolic math toolbox. Otherwise, I would not know of a solution besides changing the precision from the standarddouble
to, for instance,single
.
– Floris SA
yesterday
Thanks for the quick answers. Yes, I'm aware of accumulative error. This is part of a school exercise, the target is to see how the error is affected by choosing different numbers of significant digits. From what I've read about digits and vpa, it gives the exact same result as round, but I'll be sure to try it out.
– Netta Gal
16 hours ago
add a comment |
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down vote
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I'm trying to format my code in such a way that a chosen number of significant digits are saved, throughout the whole code. Basically, I'm looking for something that does the same as the function round(x, d, 'significant'), but will retain this effect during calculations. Any ideas?
matlab significant-digits
New contributor
I'm trying to format my code in such a way that a chosen number of significant digits are saved, throughout the whole code. Basically, I'm looking for something that does the same as the function round(x, d, 'significant'), but will retain this effect during calculations. Any ideas?
matlab significant-digits
matlab significant-digits
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Netta Gal
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2
You are aware that the round off error is going to accumulate, right? e.g. if you are only interested in integers then2.5 + 3.5
would be interpreted as2 + 3 == 5
whereas the real result is6
and (obviously)5 ~= floor(6)
so the point at which you round is important.
– Nicky Mattsson
yesterday
Since the OP specifically asks for this effect to be retained in calculations, I'd say it is safe to assume that they're aware of rounding issues, Nicky. On topic: check out the documentation on digits and vpa if you have access to the symbolic math toolbox. Otherwise, I would not know of a solution besides changing the precision from the standarddouble
to, for instance,single
.
– Floris SA
yesterday
Thanks for the quick answers. Yes, I'm aware of accumulative error. This is part of a school exercise, the target is to see how the error is affected by choosing different numbers of significant digits. From what I've read about digits and vpa, it gives the exact same result as round, but I'll be sure to try it out.
– Netta Gal
16 hours ago
add a comment |
2
You are aware that the round off error is going to accumulate, right? e.g. if you are only interested in integers then2.5 + 3.5
would be interpreted as2 + 3 == 5
whereas the real result is6
and (obviously)5 ~= floor(6)
so the point at which you round is important.
– Nicky Mattsson
yesterday
Since the OP specifically asks for this effect to be retained in calculations, I'd say it is safe to assume that they're aware of rounding issues, Nicky. On topic: check out the documentation on digits and vpa if you have access to the symbolic math toolbox. Otherwise, I would not know of a solution besides changing the precision from the standarddouble
to, for instance,single
.
– Floris SA
yesterday
Thanks for the quick answers. Yes, I'm aware of accumulative error. This is part of a school exercise, the target is to see how the error is affected by choosing different numbers of significant digits. From what I've read about digits and vpa, it gives the exact same result as round, but I'll be sure to try it out.
– Netta Gal
16 hours ago
2
2
You are aware that the round off error is going to accumulate, right? e.g. if you are only interested in integers then
2.5 + 3.5
would be interpreted as 2 + 3 == 5
whereas the real result is 6
and (obviously) 5 ~= floor(6)
so the point at which you round is important.– Nicky Mattsson
yesterday
You are aware that the round off error is going to accumulate, right? e.g. if you are only interested in integers then
2.5 + 3.5
would be interpreted as 2 + 3 == 5
whereas the real result is 6
and (obviously) 5 ~= floor(6)
so the point at which you round is important.– Nicky Mattsson
yesterday
Since the OP specifically asks for this effect to be retained in calculations, I'd say it is safe to assume that they're aware of rounding issues, Nicky. On topic: check out the documentation on digits and vpa if you have access to the symbolic math toolbox. Otherwise, I would not know of a solution besides changing the precision from the standard
double
to, for instance, single
.– Floris SA
yesterday
Since the OP specifically asks for this effect to be retained in calculations, I'd say it is safe to assume that they're aware of rounding issues, Nicky. On topic: check out the documentation on digits and vpa if you have access to the symbolic math toolbox. Otherwise, I would not know of a solution besides changing the precision from the standard
double
to, for instance, single
.– Floris SA
yesterday
Thanks for the quick answers. Yes, I'm aware of accumulative error. This is part of a school exercise, the target is to see how the error is affected by choosing different numbers of significant digits. From what I've read about digits and vpa, it gives the exact same result as round, but I'll be sure to try it out.
– Netta Gal
16 hours ago
Thanks for the quick answers. Yes, I'm aware of accumulative error. This is part of a school exercise, the target is to see how the error is affected by choosing different numbers of significant digits. From what I've read about digits and vpa, it gives the exact same result as round, but I'll be sure to try it out.
– Netta Gal
16 hours ago
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2
You are aware that the round off error is going to accumulate, right? e.g. if you are only interested in integers then
2.5 + 3.5
would be interpreted as2 + 3 == 5
whereas the real result is6
and (obviously)5 ~= floor(6)
so the point at which you round is important.– Nicky Mattsson
yesterday
Since the OP specifically asks for this effect to be retained in calculations, I'd say it is safe to assume that they're aware of rounding issues, Nicky. On topic: check out the documentation on digits and vpa if you have access to the symbolic math toolbox. Otherwise, I would not know of a solution besides changing the precision from the standard
double
to, for instance,single
.– Floris SA
yesterday
Thanks for the quick answers. Yes, I'm aware of accumulative error. This is part of a school exercise, the target is to see how the error is affected by choosing different numbers of significant digits. From what I've read about digits and vpa, it gives the exact same result as round, but I'll be sure to try it out.
– Netta Gal
16 hours ago