The Pareto distribution Random Number Generator (RNG). More...
#include "random-variable-stream.h"
Public Member Functions | |
ParetoRandomVariable () | |
Creates a Pareto distribution RNG with the default values for the mean, the shape, and upper bound. More... | |
double | GetBound () const |
Returns the upper bound on values that can be returned by this RNG stream. More... | |
uint32_t | GetInteger () override |
Returns a random unsigned integer from a Pareto distribution with the current mean, shape, and upper bound. More... | |
uint32_t | GetInteger (uint32_t scale, uint32_t shape, uint32_t bound) |
Returns a random unsigned integer from a Pareto distribution with the specified mean, shape, and upper bound. More... | |
double | GetScale () const |
Returns the scale parameter for the Pareto distribution returned by this RNG stream. More... | |
double | GetShape () const |
Returns the shape parameter for the Pareto distribution returned by this RNG stream. More... | |
double | GetValue () override |
Returns a random double from a Pareto distribution with the current mean, shape, and upper bound. More... | |
double | GetValue (double scale, double shape, double bound) |
Returns a random double from a Pareto distribution with the specified scale, shape, and upper bound. More... | |
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RandomVariableStream () | |
Default constructor. More... | |
RandomVariableStream (const RandomVariableStream &)=delete | |
~RandomVariableStream () override | |
Destructor. More... | |
virtual uint32_t | GetInteger ()=0 |
Get the next random value as an integer drawn from the distribution. More... | |
int64_t | GetStream () const |
Returns the stream number for the RngStream. More... | |
virtual double | GetValue ()=0 |
Get the next random value as a double drawn from the distribution. More... | |
bool | IsAntithetic () const |
Check if antithetic values will be generated. More... | |
RandomVariableStream & | operator= (const RandomVariableStream &)=delete |
void | SetAntithetic (bool isAntithetic) |
Specify whether antithetic values should be generated. More... | |
void | SetStream (int64_t stream) |
Specifies the stream number for the RngStream. More... | |
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Object () | |
Constructor. More... | |
~Object () override | |
Destructor. More... | |
void | AggregateObject (Ptr< Object > other) |
Aggregate two Objects together. More... | |
void | Dispose () |
Dispose of this Object. More... | |
AggregateIterator | GetAggregateIterator () const |
Get an iterator to the Objects aggregated to this one. More... | |
TypeId | GetInstanceTypeId () const override |
Get the most derived TypeId for this Object. More... | |
template<typename T > | |
Ptr< T > | GetObject () const |
Get a pointer to the requested aggregated Object. More... | |
template<> | |
Ptr< Object > | GetObject () const |
Specialization of () for objects of type ns3::Object. More... | |
template<typename T > | |
Ptr< T > | GetObject (TypeId tid) const |
Get a pointer to the requested aggregated Object by TypeId. More... | |
template<> | |
Ptr< Object > | GetObject (TypeId tid) const |
Specialization of (TypeId tid) for objects of type ns3::Object. More... | |
void | Initialize () |
Invoke DoInitialize on all Objects aggregated to this one. More... | |
bool | IsInitialized () const |
Check if the object has been initialized. More... | |
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SimpleRefCount () | |
Default constructor. More... | |
SimpleRefCount (const SimpleRefCount &o) | |
Copy constructor. More... | |
uint32_t | GetReferenceCount () const |
Get the reference count of the object. More... | |
SimpleRefCount & | operator= (const SimpleRefCount &o) |
Assignment operator. More... | |
void | Ref () const |
Increment the reference count. More... | |
void | Unref () const |
Decrement the reference count. More... | |
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virtual | ~ObjectBase () |
Virtual destructor. More... | |
void | GetAttribute (std::string name, AttributeValue &value) const |
Get the value of an attribute, raising fatal errors if unsuccessful. More... | |
bool | GetAttributeFailSafe (std::string name, AttributeValue &value) const |
Get the value of an attribute without raising erros. More... | |
virtual TypeId | GetInstanceTypeId () const =0 |
Get the most derived TypeId for this Object. More... | |
void | SetAttribute (std::string name, const AttributeValue &value) |
Set a single attribute, raising fatal errors if unsuccessful. More... | |
bool | SetAttributeFailSafe (std::string name, const AttributeValue &value) |
Set a single attribute without raising errors. More... | |
bool | TraceConnect (std::string name, std::string context, const CallbackBase &cb) |
Connect a TraceSource to a Callback with a context. More... | |
bool | TraceConnectWithoutContext (std::string name, const CallbackBase &cb) |
Connect a TraceSource to a Callback without a context. More... | |
bool | TraceDisconnect (std::string name, std::string context, const CallbackBase &cb) |
Disconnect from a TraceSource a Callback previously connected with a context. More... | |
bool | TraceDisconnectWithoutContext (std::string name, const CallbackBase &cb) |
Disconnect from a TraceSource a Callback previously connected without a context. More... | |
Static Public Member Functions | |
static TypeId | GetTypeId () |
Register this type. More... | |
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static TypeId | GetTypeId () |
Register this type. More... | |
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static TypeId | GetTypeId () |
Register this type. More... | |
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static TypeId | GetTypeId () |
Get the type ID. More... | |
Private Attributes | |
double | m_bound |
The upper bound on values that can be returned by this RNG stream. More... | |
double | m_scale |
The scale parameter for the Pareto distribution returned by this RNG stream. More... | |
double | m_shape |
The shape parameter for the Pareto distribution returned by this RNG stream. More... | |
Additional Inherited Members | |
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RngStream * | Peek () const |
Get the pointer to the underlying RngStream. More... | |
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Object (const Object &o) | |
Copy an Object. More... | |
virtual void | DoDispose () |
Destructor implementation. More... | |
virtual void | DoInitialize () |
Initialize() implementation. More... | |
virtual void | NotifyNewAggregate () |
Notify all Objects aggregated to this one of a new Object being aggregated. More... | |
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void | ConstructSelf (const AttributeConstructionList &attributes) |
Complete construction of ObjectBase; invoked by derived classes. More... | |
virtual void | NotifyConstructionCompleted () |
Notifier called once the ObjectBase is fully constructed. More... | |
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static TypeId | GetObjectIid () |
Ensure the TypeId for ObjectBase gets fully configured to anchor the inheritance tree properly. More... | |
The Pareto distribution Random Number Generator (RNG).
This class supports the creation of objects that return random numbers from a fixed Pareto distribution. It also supports the generation of single random numbers from various Pareto distributions.
The probability density function of a Pareto variable is defined over the range [ ,
) as:
where
is called the scale parameter and
is called the Pareto index or shape.
The parameter can be inferred from the mean and the parameter
with the equation
.
Since Pareto distributions can theoretically return unbounded values, it is sometimes useful to specify a fixed upper limit. Note however when the upper limit is specified, 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::ParetoRandomVariable is accessible through the following paths with Config::Set and Config::Connect:
No TraceSources are defined for this type.
Size of this type is 80 bytes (on a 64-bit architecture).
Definition at line 619 of file random-variable-stream.h.
ns3::ParetoRandomVariable::ParetoRandomVariable | ( | ) |
Creates a Pareto distribution RNG with the default values for the mean, the shape, and upper bound.
Definition at line 503 of file random-variable-stream.cc.
References NS_LOG_FUNCTION.
double ns3::ParetoRandomVariable::GetBound | ( | ) | const |
Returns the upper bound on values that can be returned by this RNG stream.
Definition at line 525 of file random-variable-stream.cc.
References m_bound, and NS_LOG_FUNCTION.
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overridevirtual |
Returns a random unsigned integer from a Pareto distribution with the current mean, shape, 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 value that would be returned normally.
The value returned in the antithetic case, , is calculated as
which now involves the distance is from 1 in the denominator.
Implements ns3::RandomVariableStream.
Definition at line 572 of file random-variable-stream.cc.
References GetValue(), m_bound, m_scale, m_shape, and NS_LOG_FUNCTION.
Returns a random unsigned integer from a Pareto distribution with the specified mean, shape, and upper bound.
[in] | scale | Scale parameter for the Pareto distribution. |
[in] | shape | Shape parameter for the Pareto distribution. |
[in] | 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 value that would be returned normally.
The value returned in the antithetic case, , is calculated as
which now involves the distance is from 1 in the denominator.
Definition at line 558 of file random-variable-stream.cc.
References GetValue(), and NS_LOG_FUNCTION.
double ns3::ParetoRandomVariable::GetScale | ( | ) | const |
Returns the scale parameter for the Pareto distribution returned by this RNG stream.
Definition at line 511 of file random-variable-stream.cc.
References m_scale, and NS_LOG_FUNCTION.
double ns3::ParetoRandomVariable::GetShape | ( | ) | const |
Returns the shape parameter for the Pareto distribution returned by this RNG stream.
Definition at line 518 of file random-variable-stream.cc.
References m_shape, and NS_LOG_FUNCTION.
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static |
Register this type.
Definition at line 475 of file random-variable-stream.cc.
References m_bound, m_scale, m_shape, ns3::MakeDoubleAccessor(), and ns3::TypeId::SetParent().
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overridevirtual |
Returns a random double from a Pareto distribution with the current mean, shape, 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 value that would be returned normally, where
The value returned in the antithetic case, , is calculated as
which now involves the distance is from 1 in the denominator.
Note that we have to re-implement this method here because the method is overloaded above for the three-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 565 of file random-variable-stream.cc.
References GetValue(), m_bound, m_scale, m_shape, and NS_LOG_FUNCTION.
Referenced by GetInteger(), and GetValue().
Returns a random double from a Pareto distribution with the specified scale, shape, and upper bound.
[in] | scale | Mean parameter for the Pareto distribution. |
[in] | shape | Shape parameter for the Pareto distribution. |
[in] | 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 value that would be returned normally.
The value returned in the antithetic case, , is calculated as
which now involves the distance is from 1 in the denominator.
Definition at line 532 of file random-variable-stream.cc.
References ns3::RandomVariableStream::IsAntithetic(), NS_LOG_FUNCTION, 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 779 of file random-variable-stream.h.
Referenced by GetBound(), GetInteger(), GetTypeId(), and GetValue().
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private |
The scale parameter for the Pareto distribution returned by this RNG stream.
Definition at line 773 of file random-variable-stream.h.
Referenced by GetInteger(), GetScale(), GetTypeId(), and GetValue().
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private |
The shape parameter for the Pareto distribution returned by this RNG stream.
Definition at line 776 of file random-variable-stream.h.
Referenced by GetInteger(), GetShape(), GetTypeId(), and GetValue().