Re: [algogeeks] Re: Pbm with rand() function

2012-02-27 Thread Prakash D
i've another doubt. what to do when I need to generate a random long long?

On Mon, Feb 27, 2012 at 9:07 PM, Don dondod...@gmail.com wrote:
 For instance, if RANDMAX= 32768, then

 x = rand() % 2;

 is twice as likely to result in the value 10,000 as the value 15,000.
 This is because there are two output values from rand() which result
 in x=1 (1 and 3), but only one output value from rand()
 resulting in x=15000 (15000).

 For any case where the statistical quality of the pseudo-random stream
 is important, such as simulation, using the built-in rand() function
 is not a good idea. Use a pseudo-random algorithm with much longer
 period and better properties, such as Mersenne Twister.

 But if you are using rand, it is usually recommended to use the high
 order bits rather than the low order bits. Many implementations of
 rand() have cycles in the low bits which are much shorter than the
 period of the generator. He is one way to generate unbiased values of
 quality as good as the generator can provide:

 // Return pseudo-random integer in the range 0..n-1
 int randRange(int n)
 {
  int result, div = RANDMAX / n;
  do {
    result = rand() / div;
  } while(result = n);
  return result;
 }

 Don

 On Feb 26, 10:10 am, karthikeya s karthikeya.a...@gmail.com wrote:
 RAND() func  returns value between 1 to INTMAX, as we know. But when
 smone tries to find out value between 1 to N he takes remainder of o/p
 of RAND() with N and adds one..but isn't it wrong coz RAND() will
 generate numbers with equal probability between 1 and INTMAX but
 taking remainder can alter the prob. of generating numbers.
 e.g.

 INTMAX=50
 N=30
 RAND(50) gives numbers 1 to 30, then prob. will remain same but if it
 gives numbers 31 to 50, they'll be mapped to the numbers 1 to 20,
 which means probability of getting numbers 1 to 20 is more than the
 probability for 21 to 30.

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Re: [algogeeks] Re: Pbm with rand() function

2012-02-27 Thread Prakash D
with equal probability

On Tue, Feb 28, 2012 at 5:28 AM, Prakash D cegprak...@gmail.com wrote:
 i've another doubt. what to do when I need to generate a random long long?

 On Mon, Feb 27, 2012 at 9:07 PM, Don dondod...@gmail.com wrote:
 For instance, if RANDMAX= 32768, then

 x = rand() % 2;

 is twice as likely to result in the value 10,000 as the value 15,000.
 This is because there are two output values from rand() which result
 in x=1 (1 and 3), but only one output value from rand()
 resulting in x=15000 (15000).

 For any case where the statistical quality of the pseudo-random stream
 is important, such as simulation, using the built-in rand() function
 is not a good idea. Use a pseudo-random algorithm with much longer
 period and better properties, such as Mersenne Twister.

 But if you are using rand, it is usually recommended to use the high
 order bits rather than the low order bits. Many implementations of
 rand() have cycles in the low bits which are much shorter than the
 period of the generator. He is one way to generate unbiased values of
 quality as good as the generator can provide:

 // Return pseudo-random integer in the range 0..n-1
 int randRange(int n)
 {
  int result, div = RANDMAX / n;
  do {
    result = rand() / div;
  } while(result = n);
  return result;
 }

 Don

 On Feb 26, 10:10 am, karthikeya s karthikeya.a...@gmail.com wrote:
 RAND() func  returns value between 1 to INTMAX, as we know. But when
 smone tries to find out value between 1 to N he takes remainder of o/p
 of RAND() with N and adds one..but isn't it wrong coz RAND() will
 generate numbers with equal probability between 1 and INTMAX but
 taking remainder can alter the prob. of generating numbers.
 e.g.

 INTMAX=50
 N=30
 RAND(50) gives numbers 1 to 30, then prob. will remain same but if it
 gives numbers 31 to 50, they'll be mapped to the numbers 1 to 20,
 which means probability of getting numbers 1 to 20 is more than the
 probability for 21 to 30.

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Re: [algogeeks] Re: Pbm with rand() function

2012-02-26 Thread amrit harry
@dave +1.. :)

On Mon, Feb 27, 2012 at 10:55 AM, karthikeya s karthikeya.a...@gmail.comwrote:

 oh my bad.really nice concept+1 dave.

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