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All-MQL5-code/Include/Generic/Internal/PrimeGenerator.mqh
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2018-03-09 16:43:19 +01:00

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//+------------------------------------------------------------------+
//| PrimeGenerator.mqh |
//| Copyright 2016, MetaQuotes Software Corp. |
//| https://www.mql5.com |
//+------------------------------------------------------------------+
//+------------------------------------------------------------------+
//| Class CPrimeGenrator. |
//| Usage: Used to generate prime numbers. |
//+------------------------------------------------------------------+
class CPrimeGenerator
{
private:
const static int s_primes[]; // table of prime numbers
const static int s_hash_prime;
public:
static bool IsPrime(const int candidate);
static int GetPrime(const int min);
static int ExpandPrime(const int old_size);
};
const static int CPrimeGenerator::s_primes[]=
{
3,7,11,17,23,29,37,47,59,71,89,107,131,163,197,239,293,353,431,521,631,761,919,
1103,1327,1597,1931,2333,2801,3371,4049,4861,5839,7013,8419,10103,12143,14591,
17519,21023,25229,30293,36353,43627,52361,62851,75431,90523,108631,130363,156437,
187751,225307,270371,324449,389357,467237,560689,672827,807403,968897,1162687,1395263,
1674319,2009191,2411033,2893249,3471899,4166287,4999559,5999471,7199369
};
const static int CPrimeGenerator::s_hash_prime=101;
//+------------------------------------------------------------------+
//| Determines whether a value is prime. |
//+------------------------------------------------------------------+
bool CPrimeGenerator::IsPrime(const int candidate)
{
if((candidate &1)!=0)
{
int limit=(int)MathSqrt(candidate);
//--- check value is prime
for(int divisor=3; divisor<=limit; divisor+=2)
if((candidate%divisor)==0)
return(false);
return(true);
}
return(candidate == 2);
}
//+------------------------------------------------------------------+
//| Fast generator of parime value. |
//+------------------------------------------------------------------+
int CPrimeGenerator::GetPrime(const int min)
{
//--- a typical resize algorithm would pick the smallest prime number in this array
//--- that is larger than twice the previous capacity.
//--- get next prime value from table
for(int i=0; i<ArraySize(s_primes); i++)
{
int prime=s_primes[i];
if(prime>=min)
return(prime);
}
//--- outside of our predefined table
for(int i=(min|1); i<=INT_MAX;i+=2)
{
if(IsPrime(i) && ((i-1)%s_hash_prime!=0))
return(i);
}
return(min);
}
//+------------------------------------------------------------------+
//| Generate a new prime value greater than old_size. |
//+------------------------------------------------------------------+
int CPrimeGenerator::ExpandPrime(const int old_size)
{
int new_size=2*old_size;
if((uint)new_size>INT_MAX && INT_MAX>old_size)
return INT_MAX;
else
return GetPrime(new_size);
}
//+------------------------------------------------------------------+