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Top Forums Programming Find out 2^n+1 , where n is a 3 digit number Post 302443423 by fpmurphy on Sunday 8th of August 2010 11:04:02 PM
Old 08-09-2010
Your problem is due to the magnitude of the exponent i.e. 100.

The error in pow(x, y) is below about 2 ulps (Unit in Last Place or Unit of Least Precision) when its magnitude is moderate, but increases as pow(x, y) approaches the over/underflow thresholds until almost as many bits can be lost as are occupied by the floating-point format's exponent field, i.e. 11 bits for an IEEE 754 double. Moderate values of pow() are accurate enough that pow(int, int) is exact until it is bigger than 2**53 for IEEE 754. I do not have figures to hand for pow(int, double) but I seem to recall that there is no much difference.

If you require accuracy in the 2**100 range you need to use a arbitrary precision numeric library and not libm. Given that you appear to be on a DOS or WIN32 platform, this option may not be available to you.
 

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CheckDigits::M11_001(3pm)				User Contributed Perl Documentation				 CheckDigits::M11_001(3pm)

NAME
CheckDigits::M11_001 - compute check digits for ISBN, ISSN, VAT RN (PT), HKID (HK), Wagon number (BR), NHS (GB), VAT (SL) SYNOPSIS
use Algorithm::CheckDigits; $isbn = CheckDigits('isbn'); if ($isbn->is_valid('3-88229-192-3')) { # do something } $cn = $isbn->complete('3-88229-192-'); # $cn = '3-88229-192-3' $cd = $isbn->checkdigit('3-88229-192-3'); # $cd = '3' $bn = $isbn->basenumber('3-88229-192-3'); # $bn = '3-88229-192-' DESCRIPTION
ALGORITHM 1. The sequence of digits is processed right to left. Every digit is multiplied with their position in the sequence (i.e. the digit left to the check digit has the weight 2 then 3 etc.). With a Hongkong ID (hkid) the leftmost char is replaced with its position in the alphabet and then multiplied with 8 (its weight). 2. The sum of all products is computed. 3. The sum of step 2 is taken modulo 11. 4. The checkdigit is the difference of the sum from step 3 to eleven under the following conditions: isbn,issn If the difference is 10, the check digit is 'X'. If the difference is 11, the check digit is 0. ustid_pt If the difference is greater then 9, the check digit is '0'. hkid If the difference is 10, the check digit is 'A'. If the difference is 11, the check digit is 0. wagonnr_br If the difference is 10, the check digit is 0. If the difference is 11, the check digit is 1. nhs_gb If the difference is 10, the number would not be taken. If the difference is 11, the check digit is 0. vat_sl This is a little bit unclear, don't trust on the method for this type. METHODS is_valid($number) Returns true only if $number consists solely of numbers and the last digit is a valid check digit according to the algorithm given above. Returns false otherwise, complete($number) The check digit for $number is computed and concatenated to the end of $number. Returns the complete number with check digit or '' if $number does not consist solely of digits and spaces. basenumber($number) Returns the basenumber of $number if $number has a valid check digit. Return '' otherwise. checkdigit($number) Returns the checkdigit of $number if $number has a valid check digit. Return '' otherwise. EXPORT None by default. AUTHOR
Mathias Weidner, <mathias@weidner.in-bad-schmiedeberg.de> SEE ALSO
perl, CheckDigits, www.pruefziffernberechnung.de. perl v5.10.0 2008-05-17 CheckDigits::M11_001(3pm)
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