class template
<random>
std::extreme_value_distribution
template <class RealType = double> class extreme_value_distribution;
Extreme Value distribution
Random number distribution that produces floating-point values according to a Type I extreme value distribution, which is described by the following probability density function:
This distribution produces random numbers where each value can be interpreted as the extreme (maximum or minimum) of a number of samples of a random variable.
The distribution parameters, a and b, are set on construction.
To produce a random value following this distribution, call its member function operator().
Template parameters
- RealType
- A floating-point type. Aliased as member type result_type.
By default, this is double.
Member types
The following aliases are member types of extreme_value_distribution:
member type | definition | notes |
result_type | The first template parameter (RealType) | The type of the numbers generated (defaults to double) |
param_type | not specified | The type returned by member param. |
Member functions
- (constructor)
- Construct extreme value distribution (public member function)
- operator()
- Generate random number (public member function)
- reset
- Reset distribution (public member function)
- param
- Distribution parameters (public member function)
- min
- Minimum value (public member function
)
- max
- Maximum value (public member function
)
Distribution parameters:
- a
- Parameter a (public member function)
- b
- Parameter b (public member function)
Non-member functions
- operator<<
- Insert into output stream (function template
)
- operator>>
- Extract from input stream (function template
)
- relational operators
- Relational operators (function template
)
Example
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// extreme_value_distribution
#include <iostream>
#include <random>
int main()
{
const int nrolls=10000; // number of experiments
const int nstars=100; // maximum number of stars to distribute
const int nintervals=20; // number of intervals
const int first=-5; // first interval
std::default_random_engine generator;
std::extreme_value_distribution<double> distribution(2.0,4.0);
int p[nintervals]={};
for (int i=0; i<nrolls; ++i) {
double number = distribution(generator);
if ((number>=-5.0)&&(number<15.0)) ++p[int(number-first)];
}
std::cout << "extreme_value_distribution (2.0,4.0):" << std::endl;
for (int i=0; i<nintervals; ++i) {
std::cout.width(2); std::cout << float(first+i) << "..";
std::cout.width(2); std::cout << float(first+i+1) << ": ";
std::cout << std::string(p[i]*nstars/nrolls,'*') << std::endl;
}
return 0;
}
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Possible output:
extreme_value_distribution (2.0,4.0):
-5..-4:
-4..-3: *
-3..-2: ***
-2..-1: *****
-1.. 0: *******
0.. 1: ********
1.. 2: ********
2.. 3: *********
3.. 4: ********
4.. 5: ********
5.. 6: ******
6.. 7: *****
7.. 8: *****
8.. 9: ***
9..10: ***
10..11: **
11..12: **
12..13: *
13..14: *
14..15: *
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