The exponential distribution Random Number Generator (RNG). More...
#include "random-variable-stream.h"
 Inheritance diagram for ns3::ExponentialRandomVariable:
 Inheritance diagram for ns3::ExponentialRandomVariable: Collaboration diagram for ns3::ExponentialRandomVariable:
 Collaboration diagram for ns3::ExponentialRandomVariable:| Public Member Functions | |
| ExponentialRandomVariable () | |
| Creates an exponential distribution RNG with the default values for the mean and upper bound. | |
| double | GetBound () const | 
| Get the configured upper bound of this RNG. | |
| virtual uint32_t | GetInteger () | 
| Get the next random value drawn from the distribution. | |
| uint32_t | GetInteger (uint32_t mean, uint32_t bound) | 
| Get the next random value drawn from the distribution. | |
| double | GetMean () const | 
| Get the configured mean value of this RNG. | |
| double | GetValue () override | 
| Get the next random value drawn from the distribution. | |
| double | GetValue (double mean, double bound) | 
| Get the next random value drawn from the distribution. | |
|  Public Member Functions inherited from ns3::RandomVariableStream | |
| RandomVariableStream () | |
| Default constructor. | |
| RandomVariableStream (const RandomVariableStream &)=delete | |
| ~RandomVariableStream () override | |
| Destructor. | |
| int64_t | GetStream () const | 
| Returns the stream number for the RngStream. | |
| bool | IsAntithetic () const | 
| Check if antithetic values will be generated. | |
| RandomVariableStream & | operator= (const RandomVariableStream &)=delete | 
| void | SetAntithetic (bool isAntithetic) | 
| Specify whether antithetic values should be generated. | |
| void | SetStream (int64_t stream) | 
| Specifies the stream number for the RngStream. | |
|  Public Member Functions inherited from ns3::Object | |
| Object () | |
| Constructor. | |
| ~Object () override | |
| Destructor. | |
| void | AggregateObject (Ptr< Object > other) | 
| Aggregate two Objects together. | |
| void | Dispose () | 
| Dispose of this Object. | |
| AggregateIterator | GetAggregateIterator () const | 
| Get an iterator to the Objects aggregated to this one. | |
| TypeId | GetInstanceTypeId () const final | 
| Get the most derived TypeId for this Object. | |
| template<typename T > | |
| Ptr< T > | GetObject () const | 
| Get a pointer to the requested aggregated Object. | |
| template<> | |
| Ptr< Object > | GetObject () const | 
| Specialization of ()  for objects of type ns3::Object. | |
| template<typename T > | |
| Ptr< T > | GetObject (TypeId tid) const | 
| Get a pointer to the requested aggregated Object by TypeId. | |
| template<> | |
| Ptr< Object > | GetObject (TypeId tid) const | 
| Specialization of (TypeId tid)  for objects of type ns3::Object. | |
| void | Initialize () | 
| Invoke DoInitialize on all Objects aggregated to this one. | |
| bool | IsInitialized () const | 
| Check if the object has been initialized. | |
| void | UnidirectionalAggregateObject (Ptr< Object > other) | 
| Aggregate an Object to another Object. | |
|  Public Member Functions inherited from ns3::SimpleRefCount< Object, ObjectBase, ObjectDeleter > | |
| SimpleRefCount () | |
| Default constructor. | |
| SimpleRefCount (const SimpleRefCount &o) | |
| Copy constructor. | |
| uint32_t | GetReferenceCount () const | 
| Get the reference count of the object. | |
| SimpleRefCount & | operator= (const SimpleRefCount &o) | 
| Assignment operator. | |
| void | Ref () const | 
| Increment the reference count. | |
| void | Unref () const | 
| Decrement the reference count. | |
|  Public Member Functions inherited from ns3::ObjectBase | |
| virtual | ~ObjectBase () | 
| Virtual destructor. | |
| void | GetAttribute (std::string name, AttributeValue &value, bool permissive=false) const | 
| Get the value of an attribute, raising fatal errors if unsuccessful. | |
| bool | GetAttributeFailSafe (std::string name, AttributeValue &value) const | 
| Get the value of an attribute without raising errors. | |
| void | SetAttribute (std::string name, const AttributeValue &value) | 
| Set a single attribute, raising fatal errors if unsuccessful. | |
| bool | SetAttributeFailSafe (std::string name, const AttributeValue &value) | 
| Set a single attribute without raising errors. | |
| bool | TraceConnect (std::string name, std::string context, const CallbackBase &cb) | 
| Connect a TraceSource to a Callback with a context. | |
| bool | TraceConnectWithoutContext (std::string name, const CallbackBase &cb) | 
| Connect a TraceSource to a Callback without a context. | |
| bool | TraceDisconnect (std::string name, std::string context, const CallbackBase &cb) | 
| Disconnect from a TraceSource a Callback previously connected with a context. | |
| bool | TraceDisconnectWithoutContext (std::string name, const CallbackBase &cb) | 
| Disconnect from a TraceSource a Callback previously connected without a context. | |
| Static Public Member Functions | |
| static TypeId | GetTypeId () | 
| Register this type. | |
|  Static Public Member Functions inherited from ns3::RandomVariableStream | |
| static TypeId | GetTypeId () | 
| Register this type. | |
|  Static Public Member Functions inherited from ns3::Object | |
| static TypeId | GetTypeId () | 
| Register this type. | |
|  Static Public Member Functions inherited from ns3::ObjectBase | |
| static TypeId | GetTypeId () | 
| Get the type ID. | |
| 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 unbounded exponential distribution. | |
| Additional Inherited Members | |
|  Protected Member Functions inherited from ns3::RandomVariableStream | |
| RngStream * | Peek () const | 
| Get the pointer to the underlying RngStream. | |
|  Protected Member Functions inherited from ns3::Object | |
| Object (const Object &o) | |
| Copy an Object. | |
| virtual void | DoDispose () | 
| Destructor implementation. | |
| virtual void | DoInitialize () | 
| Initialize() implementation. | |
| virtual void | NotifyNewAggregate () | 
| Notify all Objects aggregated to this one of a new Object being aggregated. | |
|  Protected Member Functions inherited from ns3::ObjectBase | |
| void | ConstructSelf (const AttributeConstructionList &attributes) | 
| Complete construction of ObjectBase; invoked by derived classes. | |
| virtual void | NotifyConstructionCompleted () | 
| Notifier called once the ObjectBase is fully constructed. | |
|  Related Symbols inherited from ns3::ObjectBase | |
| static TypeId | GetObjectIid () | 
| Ensure the TypeId for ObjectBase gets fully configured to anchor the inheritance tree properly. | |
The exponential distribution Random Number Generator (RNG).
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 as:
![\[
     P(x; \alpha) dx = \alpha  e^{-\alpha x} dx, \\
         \quad x \in [0, +\infty)
  \]](../../form_16.png)
where 

Mean configurable attribute. This distribution has variance 
The exponential RNG value 
![\[
     x = - \frac{\log(u)}{\alpha} = - \text{Mean} \log(u)
  \]](../../form_20.png)
where 
Since the exponential distributions can theoretically return unbounded values, it is sometimes useful to specify a fixed upper Bound. The bounded version is defined over the interval ![$[0,b]$](../../form_21.png)
![\[
     P(x; \alpha, b) dx = \alpha  e^{-\alpha x} dx, \\
         \quad x \in [0, b]
  \]](../../form_22.png)
Note that in this case the true mean of the distribution is smaller than the nominal mean value:
![\[
     \langle x | P(x; \alpha, b) \rangle = \frac{1}{\alpha} -
         \left(\frac{1}{\alpha} + b\right)\exp^{-\alpha b}
  \]](../../form_23.png)
Here is an example of how to use this class:
If an instance of this RNG is configured to return antithetic values, the actual value returned, 
![\[
     x' = - \frac{\log(1 - u)}{\alpha} = - Mean \log(1 - u),
  \]](../../form_25.png)
where 
ns3::ExponentialRandomVariable is accessible through the following paths with Config::Set and Config::Connect:
No TraceSources are defined for this type.
 Group: Core
Size of this type is 96 bytes (on a 64-bit architecture).
Definition at line 546 of file random-variable-stream.h.
| ns3::ExponentialRandomVariable::ExponentialRandomVariable | ( | ) | 
Creates an exponential distribution RNG with the default values for the mean and upper bound.
Definition at line 387 of file random-variable-stream.cc.
References NS_LOG_FUNCTION.
| double ns3::ExponentialRandomVariable::GetBound | ( | ) | const | 
Get the configured upper bound of this RNG.
Definition at line 400 of file random-variable-stream.cc.
References m_bound.
| 
 | virtual | 
Get the next random value drawn from the distribution.
Reimplemented from ns3::RandomVariableStream.
Definition at line 144 of file random-variable-stream.cc.
Get the next random value drawn from the distribution.
| [in] | mean | Mean value of the unbounded exponential distribution. | 
| [in] | bound | Upper bound on values returned. | 
Definition at line 431 of file random-variable-stream.cc.
References ns3::RandomVariableStream::GetStream(), GetValue(), NS_LOG_DEBUG, and NS_LOG_FUNCTION.
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 Here is the call graph for this function:| double ns3::ExponentialRandomVariable::GetMean | ( | ) | const | 
Get the configured mean value of this RNG.
Definition at line 394 of file random-variable-stream.cc.
References m_mean.
| 
 | static | 
Register this type.
Definition at line 367 of file random-variable-stream.cc.
References m_bound, m_mean, ns3::MakeDoubleAccessor(), ns3::MakeDoubleChecker(), and ns3::TypeId::SetParent().
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 | overridevirtual | 
Get the next random value drawn from the distribution.
Implements ns3::RandomVariableStream.
Definition at line 441 of file random-variable-stream.cc.
References GetValue(), m_bound, and m_mean.
Referenced by GetInteger(), and GetValue().
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| [in] | mean | Mean value of the unbounded exponential distribution. | 
| [in] | bound | Upper bound on values returned. | 
Definition at line 406 of file random-variable-stream.cc.
References ns3::RandomVariableStream::GetStream(), ns3::RandomVariableStream::IsAntithetic(), NS_LOG_DEBUG, ns3::RandomVariableStream::Peek(), and ns3::RngStream::RandU01().
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 | private | 
The upper bound on values that can be returned by this RNG stream.
Definition at line 595 of file random-variable-stream.h.
Referenced by GetBound(), GetTypeId(), and GetValue().
| 
 | private | 
The mean value of the unbounded exponential distribution.
Definition at line 592 of file random-variable-stream.h.
Referenced by GetMean(), GetTypeId(), and GetValue().