sqrt(2) 100 places and more

How to disply sqrt(2) to 100 decimal places in MATLAB or more than 100 decimal places???How to limit my precision

[Aldin]

Thanks to all for helping...

Answer 1

[Aldin]

Here is the answer:

phi = sym('sqrt(2)'); vpa(phi,100)

[Sean de Wolski]

Good job!

Answer 2

[the cyclist]

I am not sure, but I think this suite of functions does what you want:

http://www.mathworks.com/matlabcentral/fileexchange/6446-multiple-precision-toolbox-for-matlab

[Aldin]

Thank you a lot. This is what i need:

http://apod.nasa.gov/htmltest/gifcity/sqrt2.1mil

It will be enough for me when i get just 100 decimal

Or if you know if it is possible in JAVA you can tell me.

Answer 3

[Sean de Wolski]

If you have the symbolic math toolbox, you can try this:

syms x
vpa(subs(sqrt(x),2),100)

More per comments:

%copying first two lines from nasa file
nasa = '1.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387534327641572735013846230912297024924836055850737212644121497099935831';
syms x;
mlvpa = vpa(subs(sqrt(x),2),length(nasa)-1); %subtract 1 to account for decimal

isequal(char(mlvpa),nasa)

ans = 1

woo!

[Aldin]

Sean,

Thanks a lot. I need it for Uni. It is my homework.(numerical mathematics and computing)

See this: http://apod.nasa.gov/htmltest/gifcity/sqrt2.1mil

I have to write the code in Java or Matlab. I don't know how to display more than 16 digits in JAVA or MATLAB.

[Aldin]

Here is the result of your code:

1.4142135623730951454746218587388284504413604736328125

But is not 100 digits.

[Sean de Wolski]

That is not the result of either snippet of code I provided.

[Aldin]

ans = 0

[Sean de Wolski]

What are you running (copy and paste the code)? What version? Ans what does

which -all vpa

return?

[Aldin]

How does they can find square root of two by so many digits???

[Aldin]

cop and pate in M-file your code:

nas = '------';

syms x;

...... etc...

and the answer is ans = 0

[Aldin]

MATLAB 7.9.0 (R2009b)

[Aldin]

When i type following:

x = 2;

vpa(subs(sqrt(x),2),100)

Result is:

1.4142135623730951454746218587388284504413604736328125

[Sean de Wolski]

copy and paste the whole code!!!!! I can't figure out what ....etc.,... means. If you have the string, '------' set to nasa, then of course it's not going to work, the right answere is not six hyphens. If you _literally_ copy and paste what I have above, it should and will run, assuming you have the SMT.

[Aldin]

i swear the answer is ans = 0, Can i send you email with picture where can you see what i type in my workspace in matlab than you will se the answer is 0

[Aldin]

Yes you dis, Why?

[Sean de Wolski]

Take a screen shot and post it to a free webhosting site, that way everyone can see it.

[Aldin]

Ok wait a minute.

[Aldin]

Here is the link:

http://www.mediafire.com/?iyz0u7bjzvqratj

[Sean de Wolski]

After installing R2009b, I'm able to replicate the behavior you're seeing on it. My syntax above works on R2011b.

[Aldin]

Here is the result for R2009b

phi = sym('sqrt(2)'); vpa(phi,100)

Can you say me the result in JAVA

Answer 4

[Laura Proctor]

format long

will show 15 digits.

fprintf(1,'%.100f\n',sqrt(2))

will show 100 digits. However, that precision is not stored in sqrt(2) - you can see that most of the digits are zero.

By default, numbers are stored as double in MATLAB. In order to understand what that means, I'm linking the following page:

http://www.mathworks.com/support/tech-notes/1100/1108.html

[Aldin]

Laura,

Thank you for your answer. I know "double" from JAVA. But i need 100 precesion not 16. See this: http://apod.nasa.gov/htmltest/gifcity/sqrt2.1mil

Or if you know if it is possible in JAVA you can tell me.