Turn on suggestions

Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type.

Showing results for

- Home
- /
- Programming
- /
- Programming
- /
- Scientific Notation

Options

- RSS Feed
- Mark Topic as New
- Mark Topic as Read
- Float this Topic for Current User
- Bookmark
- Subscribe
- Mute
- Printer Friendly Page

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

Posted 05-22-2014 02:06 PM
(5727 views)

Hello all;

How can I convert the following number

5039220013916026846870204011588016812266185989865191407731082739149737501542867149897589000557841

6168937269198370425013463695536280705318595740583841262257709320903463659424481514349542590076222

1723313516671432465293726789169859417220321898386948547503076332140696583782648654162369257874235

6286709130989273095836110164802229755436763344720101376000000000000000000000000000000000000000000

00000000

to the scientific notation 5.039220013916026846870204011588e+395 to use it in the same program in anther statement ?

thanks

25 REPLIES 25

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

Hi,

I don't think this is possible in SAS. As a reference please see the attached link....

Regards,

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

To work with numbers with a very large number of significant digits (as in 5.039220013916026846870204011588e+395) you need to use Fortran or some other application that allows arbitrarily large numbers. SAS, in common with most applications such as MS Excel, uses the operating system's floating point number storage mechanism which in the case of Windows and Unix allows a maximum of 8 bytes, some of which are used for the sign and the exponent. In practice this allows for 15 digits accuracy (16 for integers provided the initial digit is not 9). zOS allows another digit or so because it uses fewer bits for the exponent.

Oracle (apparently) allows 12 bytes to floating point numbers which allows 23 digits accuracy.

You can treat these numbers as character strings, compute the length to determine the exponent, substring the first *n* characters for the numerical result, and insert a decimal to make it look like the result you want. But you cannot use the result in calculations in SAS. In the format you specify you cannot even import the data in exponential format because the total width of the informat is limited to 32 characters which includes the exponent, decimal point, signs, and 'e'.

In practical terms it is hard to see where a precision of even 32 digits would be required.

Richard

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

@FriedEgg

I'm very grateful to you for drawing my attention to Proc DS2, which is a very recent addition to SAS. I looked at the definition of Float which implies Double allows precision of over 25 significant digits (though the definition is hazy on this point, and the word 'approximate' in the definition is a bit of a worry). So 32 digit precision might be possible within Proc DS2 and Proc FedSQL. But Bigint is limited to 19 digit precision, so I doubt the OP could use these techniques on his data.

My question still is, what is the OP doing with with such large numbers?

The age of the universe is currently reckoned at 13.8 billion years or 4.36e20 seconds.

The observable universe diameter is 8.948e26 meters and even converting that to Angstrom or Planck units will not require 100 significant digits.

The number of atoms in the observable universe is estimated to be between 1e79 and 1e83, counting the total number of particles would only add a couple of orders of magnitude.

Richard

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

Cryptography is one of areas where numbers of this size are prevalent, to give you a real-world example as you are seeking. Of course, I cannot speak to the OP's purpose.

RSA-2048 = 2519590847565789349402718324004839857142928212620403202777713783604366202070

7595556264018525880784406918290641249515082189298559149176184502808489120072

8449926873928072877767359714183472702618963750149718246911650776133798590957

0009733045974880842840179742910064245869181719511874612151517265463228221686

9987549182422433637259085141865462043576798423387184774447920739934236584823

8242811981638150106748104516603773060562016196762561338441436038339044149526

3443219011465754445417842402092461651572335077870774981712577246796292638635

6373289912154831438167899885040445364023527381951378636564391212010397122822

120720357

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

Let's take a big step out of the box here and solve this...

filename cp temp;

proc groovy classpath=cp;

submit parseonly;

import java.math.BigDecimal;

import java.text.DecimalFormat;

class SciNote {

static String bigSci(String bigint) {

BigDecimal val = new BigDecimal( bigint + ".0" );

DecimalFormat df = new DecimalFormat("0.000000000000000000000000000000E0");

return df.format(val).replace("E","e+");

} }

endsubmit;

quit;

options set=classpath "%sysfunc(pathname(cp,f))";

data test;

length scinote $ 100;

declare javaobj j('SciNote');

bigint= "503922001391602684687020401158801681226618598986519140773108273914973750154286714989758900"

|| "055784161689372691983704250134636955362807053185957405838412622577093209034636594244815143"

|| "495425900762221723313516671432465293726789169859417220321898386948547503076332140696583782"

|| "648654162369257874235628670913098927309583611016480222975543676334472010137600000000000000"

|| "000000000000000000000000000000000000"

;

j.callStaticStringMethod('bigSci',bigint,scinote);

put scinote=;

run;

From the LOG:

scinote=5.039220013916026846870204011588e+395

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

When I run the program, the following massage was appeared:

filename cp temp;

proc groovy classpath=cp;

ERROR: Procedure GROOVY not found.

submit parseonly;

------

14

ERROR: A link must be established by executing the SIGNON command before you can communicate with

PARSEONLY.

WARNING 14-169: Assuming the symbol RSUBMIT was misspelled as submit.

ERROR: Remote submit to PARSEONLY cancelled.

what can I do?

anther question can I convert the number to the scientific notation in Proc iml???

Thanks for your help

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

PROC GROOVY is new in 9.3, so you would require that version or newer to run it. Alternatively, you can still run my example by first creating the Java class outside of SAS. You can find an example I wrote on a different subject for how to go about doing it:

As for using IML, in SAS/IML Studio the IMLPlus language will allow you to run Java code, which you could use as I've illustrated to perform your operation.

You could also process it manually as a array of integers, which is I believe how the BigInteger class in Java works with these numbers.

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

How can I process it manually as a array of integers???

Note that I use SAS 9.2

Thanks

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

**Hi Mr. Rick;**

**At first I would like to thank you for your cooperation with me. **

**Here I tried to compute the values of "xi" to get it's roots,but when i computed the "xi" I need to compute a big factorial and here the large number appeared and the program stop because of the storage space. So i need to convert the large number to scientific notation to reduce the space.**

**proc** **iml**;

start BigFactorial(n);

start LogFact(n);

return( sum(log(**1**:n)) );

finish;

numDigits = ceil(logfact(n)/log(**10**));

f = j(**1**,numDigits,**0**);

f[**1**] = **1**;

do i = **2** to n;

carry = **0**;

digits = ceil(logfact(i)/log(**10**));

do j = **1** to digits ;

g = i*f

digit = mod(g, **10**);

f

carry = (g - digit)/**10**;

end;

end;

return( f[,ncol(f):**1**] );

finish;

i={**10** **9** **8** **7** **6** **5** **4** **3** **2** **1** **0**};

do j=**1** to **11**;

m=**100**;

n=**5**;

n=int(n);

alpha=((m*(n-**1**))-**2**)/**2**;

f = BigFactorial(**10**+alpha);

Fact10alpha = rowcat(char(f,**1**));

f = BigFactorial(alpha+i

Factalphaij = rowcat(char(f,**1**));

xi= (Fact10alpha*((-**1**)**i**10**-i

xivector= xivector//xi;

end;

r = polyroot(xivector);

print alpha;

print xivector[format=E32.14];

print r;

**quit**;

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

What is the purpose of expressing the value in scientific notation?

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

**When I run the program with this large number the program stop for the following error:**

**xi= (Fact10alpha*((-1)**i ))/(fact(10-i)*Factalphaij*fact(i));**

** xivector= xivector//xi;**

** end;**

**ERROR: (execution) Character argument should be numeric.**

** **

** operation : * at line 1692 column 17**

** operands : FACT10ALPHA, _TEM1003**

** **

**FACT10ALPHA 1 row 1 col (character, size 396)**

** **

** **

**503922001391602684687020401158801681226618598986519140773108273914973750154286714989758900055784161689**

**372691983704250134636955362807053185957405838412622577093209034636594244815143495425900762221723313516**

**671432465293726789169859417220321898386948547503076332140696583782648654162369257874235628670913098927**

**309583611016480222975543676334472010137600000000000000000000000000000000000000000000000000**

** **

**_TEM1003 1 row 1 col (numeric)**

** **

** 1**

** **

** statement : ASSIGN at line 1692 column 1**

**but when I used the scientific notation this error doesn't appear.**

- Mark as New
- Bookmark
- Subscribe
- Mute
- RSS Feed
- Permalink
- Report Inappropriate Content

"Scientific Notation" is just a format through which a SAS number (with all its 8-byte limitations) is displayed.

fact10alpha is not numeric, but a character variable that CANNOT be used as a number value in a computation, because with such a big string the automatic conversion (that SAS usually tries) fails.

**Available on demand!**

Missed SAS Innovate Las Vegas? Watch all the action for free! View the keynotes, general sessions and 22 breakouts on demand.

How to Concatenate Values

Learn how use the CAT functions in SAS to join values from multiple variables into a single value.

Find more tutorials on the SAS Users YouTube channel.