The exponential distribution Random Number Generator (RNG) that allows stream numbers to be set deterministically. More...
#include <random-variable-stream.h>
 Inheritance diagram for ns3::ExponentialRandomVariable:
 Inheritance diagram for ns3::ExponentialRandomVariable:| Public Member Functions | |
| ExponentialRandomVariable () | |
| Creates a exponential distribution RNG with the default values for the mean and upper bound. | |
| double | GetBound (void) const | 
| Returns the upper bound on values that can be returned by this RNG stream.  More... | |
| uint32_t | GetInteger (uint32_t mean, uint32_t bound) | 
| Returns a random unsigned integer from an exponential distribution with the specified mean and upper bound.  More... | |
| virtual uint32_t | GetInteger (void) | 
| Returns a random unsigned integer from an exponential distribution with the current mean and upper bound.  More... | |
| double | GetMean (void) const | 
| Returns the mean value of the random variables returned by this RNG stream.  More... | |
| double | GetValue (double mean, double bound) | 
| Returns a random double from an exponential distribution with the specified mean and upper bound.  More... | |
| virtual double | GetValue (void) | 
| Returns a random double from an exponential distribution with the current mean and upper bound.  More... | |
|  Public Member Functions inherited from ns3::RandomVariableStream | |
| int64_t | GetStream (void) const | 
| Returns the stream number for this RNG stream.  More... | |
| bool | IsAntithetic (void) const | 
| Returns true if antithetic values should be generated.  More... | |
| void | SetAntithetic (bool isAntithetic) | 
| Specifies whether antithetic values should be generated.  More... | |
| void | SetStream (int64_t stream) | 
| Specifies the stream number for this RNG stream.  More... | |
|  Public Member Functions inherited from ns3::Object | |
| void | AggregateObject (Ptr< Object > other) | 
| void | Dispose (void) | 
| AggregateIterator | GetAggregateIterator (void) const | 
| virtual TypeId | GetInstanceTypeId (void) const | 
| template<typename T > | |
| Ptr< T > | GetObject (void) const | 
| template<typename T > | |
| Ptr< T > | GetObject (TypeId tid) const | 
| void | Initialize (void) | 
|  Public Member Functions inherited from ns3::SimpleRefCount< Object, ObjectBase, ObjectDeleter > | |
| SimpleRefCount (const SimpleRefCount &o) | |
| uint32_t | GetReferenceCount (void) const | 
| SimpleRefCount & | operator= (const SimpleRefCount &o) | 
| void | Ref (void) const | 
| void | Unref (void) const | 
|  Public Member Functions inherited from ns3::ObjectBase | |
| void | GetAttribute (std::string name, AttributeValue &value) const | 
| bool | GetAttributeFailSafe (std::string name, AttributeValue &attribute) const | 
| void | SetAttribute (std::string name, const AttributeValue &value) | 
| bool | SetAttributeFailSafe (std::string name, const AttributeValue &value) | 
| bool | TraceConnect (std::string name, std::string context, const CallbackBase &cb) | 
| bool | TraceConnectWithoutContext (std::string name, const CallbackBase &cb) | 
| bool | TraceDisconnect (std::string name, std::string context, const CallbackBase &cb) | 
| bool | TraceDisconnectWithoutContext (std::string name, const CallbackBase &cb) | 
| Static Public Member Functions | |
| static TypeId | GetTypeId (void) | 
|  Static Public Member Functions inherited from ns3::RandomVariableStream | |
| static TypeId | GetTypeId (void) | 
|  Static Public Member Functions inherited from ns3::Object | |
| static TypeId | GetTypeId (void) | 
|  Static Public Member Functions inherited from ns3::SimpleRefCount< Object, ObjectBase, ObjectDeleter > | |
| static void | Cleanup (void) | 
|  Static Public Member Functions inherited from ns3::ObjectBase | |
| static TypeId | GetTypeId (void) | 
| Private Attributes | |
| double | m_bound | 
| The upper bound on values that can be returned by this RNG stream. | |
| double | m_mean | 
| The mean value of the random variables returned by this RNG stream. | |
| Additional Inherited Members | |
|  Protected Member Functions inherited from ns3::RandomVariableStream | |
| RngStream * | Peek (void) const | 
| Returns a pointer to the underlying RNG stream. | |
|  Protected Member Functions inherited from ns3::Object | |
| Object (const Object &o) | |
| virtual void | DoDispose (void) | 
| virtual void | DoInitialize (void) | 
| virtual void | NotifyNewAggregate (void) | 
|  Protected Member Functions inherited from ns3::ObjectBase | |
| void | ConstructSelf (const AttributeConstructionList &attributes) | 
| virtual void | NotifyConstructionCompleted (void) | 
The exponential distribution Random Number Generator (RNG) that allows stream numbers to be set deterministically.
This class supports the creation of objects that return random numbers from a fixed exponential distribution. It also supports the generation of single random numbers from various exponential distributions.
The probability density function of an exponential variable is defined over the interval [0,  ) as:
) as:  where
 where 
Since exponential distributions can theoretically return unbounded values, it is sometimes useful to specify a fixed upper limit. The bounded version is defined over the interval [0,b] as: ![$ \alpha e^{-\alpha x} \quad x \in [0,b] $](form_3.png) . Note that in this case the true mean of the distribution is slightly smaller than the mean value specified:
. Note that in this case the true mean of the distribution is slightly smaller than the mean value specified:  .
.
Here is an example of how to use this class:
ns3::ExponentialRandomVariable is accessible through the following paths with Config::Set and Config::Connect:
No TraceSources are defined for this type.
 
Definition at line 440 of file random-variable-stream.h.
| double ns3::ExponentialRandomVariable::GetBound | ( | void | ) | const | 
Returns the upper bound on values that can be returned by this RNG stream.
Definition at line 388 of file random-variable-stream.cc.
References m_bound, and NS_LOG_FUNCTION.
| uint32_t ns3::ExponentialRandomVariable::GetInteger | ( | uint32_t | mean, | 
| uint32_t | bound | ||
| ) | 
Returns a random unsigned integer from an exponential distribution with the specified mean and upper bound.
| mean | Mean value of the random variables. | 
| bound | Upper bound on values returned. | 
Note that antithetic values are being generated if m_isAntithetic is equal to true. If  is a uniform variable over [0,1] and
 is a uniform variable over [0,1] and
![\[ x = - mean * \log(u) \]](form_49.png) 
is a value that would be returned normally, then  ) is the distance that
) is the distance that  would be from
 would be from  . The value returned in the antithetic case,
. The value returned in the antithetic case,  , is calculated as
, is calculated as
![\[ x' = - mean * \log(1 - u), \]](form_52.png) 
which now involves the log of the distance  is from the 1.
 is from the 1. 
Definition at line 418 of file random-variable-stream.cc.
References GetValue(), and NS_LOG_FUNCTION.
| 
 | virtual | 
Returns a random unsigned integer from an exponential distribution with the current mean and upper bound.
Note that antithetic values are being generated if m_isAntithetic is equal to true. If  is a uniform variable over [0,1] and
 is a uniform variable over [0,1] and
![\[ x = - mean * \log(u) \]](form_49.png) 
is a value that would be returned normally, then  ) is the distance that
) is the distance that  would be from
 would be from  . The value returned in the antithetic case,
. The value returned in the antithetic case,  , is calculated as
, is calculated as
![\[ x' = - mean * \log(1 - u), \]](form_52.png) 
which now involves the log of the distance  is from the 1.
 is from the 1. 
Implements ns3::RandomVariableStream.
Definition at line 431 of file random-variable-stream.cc.
References GetValue(), m_bound, m_mean, and NS_LOG_FUNCTION.
| double ns3::ExponentialRandomVariable::GetMean | ( | void | ) | const | 
Returns the mean value of the random variables returned by this RNG stream.
Definition at line 382 of file random-variable-stream.cc.
References m_mean, and NS_LOG_FUNCTION.
| double ns3::ExponentialRandomVariable::GetValue | ( | double | mean, | 
| double | bound | ||
| ) | 
Returns a random double from an exponential distribution with the specified mean and upper bound.
| mean | Mean value of the random variables. | 
| bound | Upper bound on values returned. | 
Note that antithetic values are being generated if m_isAntithetic is equal to true. If  is a uniform variable over [0,1] and
 is a uniform variable over [0,1] and
![\[ x = - mean * \log(u) \]](form_49.png) 
is a value that would be returned normally, then  ) is the distance that
) is the distance that  would be from
 would be from  . The value returned in the antithetic case,
. The value returned in the antithetic case,  , is calculated as
, is calculated as
![\[ x' = - mean * \log(1 - u), \]](form_52.png) 
which now involves the log of the distance  is from the 1.
 is from the 1. 
Definition at line 395 of file random-variable-stream.cc.
References ns3::RandomVariableStream::IsAntithetic(), NS_LOG_FUNCTION, ns3::RandomVariableStream::Peek(), and ns3::RngStream::RandU01().
Referenced by RandomVariableStreamExponentialTestCase::DoRun(), and RandomVariableStreamExponentialAntitheticTestCase::DoRun().
| 
 | virtual | 
Returns a random double from an exponential distribution with the current mean and upper bound.
Note that antithetic values are being generated if m_isAntithetic is equal to true. If  is a uniform variable over [0,1] and
 is a uniform variable over [0,1] and
![\[ x = - mean * \log(u) \]](form_49.png) 
is a value that would be returned normally, then  ) is the distance that
) is the distance that  would be from
 would be from  . The value returned in the antithetic case,
. The value returned in the antithetic case,  , is calculated as
, is calculated as
![\[ x' = - mean * \log(1 - u), \]](form_52.png) 
which now involves the log of the distance  is from the 1.
 is from the 1.
Note that we have to re-implement this method here because the method is overloaded above for the two-argument variant and the c++ name resolution rules don't work well with overloads split between parent and child classes.
Implements ns3::RandomVariableStream.
Definition at line 425 of file random-variable-stream.cc.
References m_bound, m_mean, and NS_LOG_FUNCTION.
Referenced by GetInteger().