.TH "std::normal_distribution< _RealType >" 3cxx "Tue Jul 2 2019" "libstdc++" \" -*- nroff -*-
.ad l
.nh
.SH NAME
std::normal_distribution< _RealType > \- A normal continuous distribution for random numbers\&.  

.SH SYNOPSIS
.br
.PP
.SS "Classes"

.in +1c
.ti -1c
.RI "struct \fBparam_type\fP"
.br
.in -1c
.SS "Public Types"

.in +1c
.ti -1c
.RI "typedef _RealType \fBresult_type\fP"
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.in -1c
.SS "Public Member Functions"

.in +1c
.ti -1c
.RI "\fBnormal_distribution\fP (\fBresult_type\fP __mean=\fBresult_type\fP(0), \fBresult_type\fP __stddev=\fBresult_type\fP(1))"
.br
.ti -1c
.RI "\fBnormal_distribution\fP (const \fBparam_type\fP &__p)"
.br
.ti -1c
.RI "template<typename _ForwardIterator , typename _UniformRandomNumberGenerator > void \fB__generate\fP (_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator &__urng)"
.br
.ti -1c
.RI "template<typename _ForwardIterator , typename _UniformRandomNumberGenerator > void \fB__generate\fP (_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator &__urng, const \fBparam_type\fP &__p)"
.br
.ti -1c
.RI "template<typename _UniformRandomNumberGenerator > void \fB__generate\fP (\fBresult_type\fP *__f, \fBresult_type\fP *__t, _UniformRandomNumberGenerator &__urng, const \fBparam_type\fP &__p)"
.br
.ti -1c
.RI "\fBresult_type\fP \fBmax\fP () const"
.br
.RI "Returns the least upper bound value of the distribution\&. "
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.RI "_RealType \fBmean\fP () const"
.br
.RI "Returns the mean of the distribution\&. "
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.RI "\fBresult_type\fP \fBmin\fP () const"
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.RI "Returns the greatest lower bound value of the distribution\&. "
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.RI "template<typename _UniformRandomNumberGenerator > \fBresult_type\fP \fBoperator()\fP (_UniformRandomNumberGenerator &__urng)"
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.RI "Generating functions\&. "
.ti -1c
.RI "template<typename _UniformRandomNumberGenerator > \fBresult_type\fP \fBoperator()\fP (_UniformRandomNumberGenerator &__urng, const \fBparam_type\fP &__p)"
.br
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.RI "\fBparam_type\fP \fBparam\fP () const"
.br
.RI "Returns the parameter set of the distribution\&. "
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.RI "void \fBparam\fP (const \fBparam_type\fP &__param)"
.br
.RI "Sets the parameter set of the distribution\&. "
.ti -1c
.RI "void \fBreset\fP ()"
.br
.RI "Resets the distribution state\&. "
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.RI "_RealType \fBstddev\fP () const"
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.RI "Returns the standard deviation of the distribution\&. "
.in -1c
.SS "Friends"

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.RI "template<typename _RealType1 , typename _CharT , typename _Traits > \fBstd::basic_ostream\fP< _CharT, _Traits > & \fBoperator<<\fP (\fBstd::basic_ostream\fP< _CharT, _Traits > &__os, const \fBstd::normal_distribution\fP< _RealType1 > &__x)"
.br
.RI "Inserts a normal_distribution random number distribution \fC__x\fP into the output stream \fC__os\fP\&. "
.ti -1c
.RI "template<typename _RealType1 > bool \fBoperator==\fP (const \fBstd::normal_distribution\fP< _RealType1 > &__d1, const \fBstd::normal_distribution\fP< _RealType1 > &__d2)"
.br
.RI "Return true if two normal distributions have the same parameters and the sequences that would be generated are equal\&. "
.ti -1c
.RI "template<typename _RealType1 , typename _CharT , typename _Traits > \fBstd::basic_istream\fP< _CharT, _Traits > & \fBoperator>>\fP (\fBstd::basic_istream\fP< _CharT, _Traits > &__is, \fBstd::normal_distribution\fP< _RealType1 > &__x)"
.br
.RI "Extracts a normal_distribution random number distribution \fC__x\fP from the input stream \fC__is\fP\&. "
.in -1c
.SH "Detailed Description"
.PP 

.SS "template<typename _RealType = double>
.br
class std::normal_distribution< _RealType >"
A normal continuous distribution for random numbers\&. 

The formula for the normal probability density function is \[ p(x|\mu,\sigma) = \frac{1}{\sigma \sqrt{2 \pi}} e^{- \frac{{x - \mu}^ {2}}{2 \sigma ^ {2}} } \] 
.PP
Definition at line 1925 of file random\&.h\&.
.SH "Member Typedef Documentation"
.PP 
.SS "template<typename _RealType = double> typedef _RealType \fBstd::normal_distribution\fP< _RealType >::\fBresult_type\fP"
The type of the range of the distribution\&. 
.PP
Definition at line 1928 of file random\&.h\&.
.SH "Constructor & Destructor Documentation"
.PP 
.SS "template<typename _RealType = double> \fBstd::normal_distribution\fP< _RealType >::\fBnormal_distribution\fP (\fBresult_type\fP __mean = \fC\fBresult_type\fP(0)\fP, \fBresult_type\fP __stddev = \fC\fBresult_type\fP(1)\fP)\fC [inline]\fP, \fC [explicit]\fP"
Constructs a normal distribution with parameters $mean$ and standard deviation\&. 
.PP
Definition at line 1975 of file random\&.h\&.
.SH "Member Function Documentation"
.PP 
.SS "template<typename _RealType = double> \fBresult_type\fP \fBstd::normal_distribution\fP< _RealType >::max () const\fC [inline]\fP"

.PP
Returns the least upper bound value of the distribution\&. 
.PP
Definition at line 2032 of file random\&.h\&.
.SS "template<typename _RealType = double> _RealType \fBstd::normal_distribution\fP< _RealType >::mean () const\fC [inline]\fP"

.PP
Returns the mean of the distribution\&. 
.PP
Definition at line 1996 of file random\&.h\&.
.SS "template<typename _RealType = double> \fBresult_type\fP \fBstd::normal_distribution\fP< _RealType >::min () const\fC [inline]\fP"

.PP
Returns the greatest lower bound value of the distribution\&. 
.PP
Definition at line 2025 of file random\&.h\&.
.SS "template<typename _RealType = double> template<typename _UniformRandomNumberGenerator > \fBresult_type\fP \fBstd::normal_distribution\fP< _RealType >::operator() (_UniformRandomNumberGenerator & __urng)\fC [inline]\fP"

.PP
Generating functions\&. 
.PP
Definition at line 2040 of file random\&.h\&.
.PP
Referenced by std::operator>>()\&.
.SS "template<typename _RealType > template<typename _UniformRandomNumberGenerator > \fBnormal_distribution\fP< _RealType >::\fBresult_type\fP \fBstd::normal_distribution\fP< _RealType >::operator() (_UniformRandomNumberGenerator & __urng, const \fBparam_type\fP & __param)"
Polar method due to Marsaglia\&.
.PP
Devroye, L\&. Non-Uniform Random Variates Generation\&. Springer-Verlag, New York, 1986, Ch\&. V, Sect\&. 4\&.4\&. 
.PP
Definition at line 1786 of file bits/random\&.tcc\&.
.SS "template<typename _RealType = double> \fBparam_type\fP \fBstd::normal_distribution\fP< _RealType >::param () const\fC [inline]\fP"

.PP
Returns the parameter set of the distribution\&. 
.PP
Definition at line 2010 of file random\&.h\&.
.SS "template<typename _RealType = double> void \fBstd::normal_distribution\fP< _RealType >::param (const \fBparam_type\fP & __param)\fC [inline]\fP"

.PP
Sets the parameter set of the distribution\&. 
.PP
\fBParameters:\fP
.RS 4
\fI__param\fP The new parameter set of the distribution\&. 
.RE
.PP

.PP
Definition at line 2018 of file random\&.h\&.
.SS "template<typename _RealType = double> void \fBstd::normal_distribution\fP< _RealType >::reset ()\fC [inline]\fP"

.PP
Resets the distribution state\&. 
.PP
Definition at line 1989 of file random\&.h\&.
.SS "template<typename _RealType = double> _RealType \fBstd::normal_distribution\fP< _RealType >::stddev () const\fC [inline]\fP"

.PP
Returns the standard deviation of the distribution\&. 
.PP
Definition at line 2003 of file random\&.h\&.
.SH "Friends And Related Function Documentation"
.PP 
.SS "template<typename _RealType = double> template<typename _RealType1 , typename _CharT , typename _Traits > \fBstd::basic_ostream\fP<_CharT, _Traits>& operator<< (\fBstd::basic_ostream\fP< _CharT, _Traits > & __os, const \fBstd::normal_distribution\fP< _RealType1 > & __x)\fC [friend]\fP"

.PP
Inserts a normal_distribution random number distribution \fC__x\fP into the output stream \fC__os\fP\&. 
.PP
\fBParameters:\fP
.RS 4
\fI__os\fP An output stream\&. 
.br
\fI__x\fP A normal_distribution random number distribution\&.
.RE
.PP
\fBReturns:\fP
.RS 4
The output stream with the state of \fC__x\fP inserted or in an error state\&. 
.RE
.PP

.SS "template<typename _RealType = double> template<typename _RealType1 > bool operator== (const \fBstd::normal_distribution\fP< _RealType1 > & __d1, const \fBstd::normal_distribution\fP< _RealType1 > & __d2)\fC [friend]\fP"

.PP
Return true if two normal distributions have the same parameters and the sequences that would be generated are equal\&. 
.SS "template<typename _RealType = double> template<typename _RealType1 , typename _CharT , typename _Traits > \fBstd::basic_istream\fP<_CharT, _Traits>& operator>> (\fBstd::basic_istream\fP< _CharT, _Traits > & __is, \fBstd::normal_distribution\fP< _RealType1 > & __x)\fC [friend]\fP"

.PP
Extracts a normal_distribution random number distribution \fC__x\fP from the input stream \fC__is\fP\&. 
.PP
\fBParameters:\fP
.RS 4
\fI__is\fP An input stream\&. 
.br
\fI__x\fP A normal_distribution random number generator engine\&.
.RE
.PP
\fBReturns:\fP
.RS 4
The input stream with \fC__x\fP extracted or in an error state\&. 
.RE
.PP


.SH "Author"
.PP 
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