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
asked Nov 19 at 9:13
Netta Gal
41
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favorite
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
asked Nov 19 at 9:13
Netta Gal
41
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 + 3.5would be interpreted as2 + 3 == 5whereas the real result is6and (obviously)5 ~= floor(6)so the point at which you round is important.
– Nicky Mattsson
Nov 19 at 10:03
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 standarddoubleto, for instance,single.
– Floris SA
Nov 19 at 14:20
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
Nov 20 at 11:25
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
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
asked Nov 19 at 9:13
Netta Gal
41
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
asked Nov 19 at 9:13
Netta Gal
41
asked Nov 19 at 9:13
Netta Gal
41
asked Nov 19 at 9:13
Netta Gal
41
asked Nov 19 at 9:13
Netta Gal
41
asked Nov 19 at 9:13
Netta Gal
41
41
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 + 3.5would be interpreted as2 + 3 == 5whereas the real result is6and (obviously)5 ~= floor(6)so the point at which you round is important.
– Nicky Mattsson
Nov 19 at 10:03
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 standarddoubleto, for instance,single.
– Floris SA
Nov 19 at 14:20
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
Nov 20 at 11:25
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 + 3.5would be interpreted as2 + 3 == 5whereas the real result is6and (obviously)5 ~= floor(6)so the point at which you round is important.
– Nicky Mattsson
Nov 19 at 10:03
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 standarddoubleto, for instance,single.
– Floris SA
Nov 19 at 14:20
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
Nov 20 at 11:25
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
Nov 19 at 10:03
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
Nov 19 at 10:03
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
Nov 19 at 14:20
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
Nov 19 at 14:20
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
Nov 20 at 11:25
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
Nov 20 at 11:25
add a comment |
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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 + 3.5would be interpreted as2 + 3 == 5whereas the real result is6and (obviously)5 ~= floor(6)so the point at which you round is important.– Nicky Mattsson
Nov 19 at 10:03
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
doubleto, for instance,single.– Floris SA
Nov 19 at 14:20
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
Nov 20 at 11:25