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?










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    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












  • 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















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?










share|improve this question







New contributor




Netta Gal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
















  • 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












  • 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













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?










share|improve this question







New contributor




Netta Gal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











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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Netta Gal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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Netta Gal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.








  • 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












  • 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














  • 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












  • 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








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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