.TH "std::binomial_distribution< _IntType >" 3cxx "Sat Aug 14 2021" "libstdc++" \" -*- nroff -*- .ad l .nh .SH NAME std::binomial_distribution< _IntType > \- A discrete binomial random number distribution\&. .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 _IntType \fBresult_type\fP" .br .in -1c .SS "Public Member Functions" .in +1c .ti -1c .RI "\fBbinomial_distribution\fP (_IntType __t, double __p=0\&.5)" .br .ti -1c .RI "\fBbinomial_distribution\fP (const \fBparam_type\fP &__p)" .br .ti -1c .RI "template void \fB__generate\fP (_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator &__urng)" .br .ti -1c .RI "template void \fB__generate\fP (_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator &__urng, const \fBparam_type\fP &__p)" .br .ti -1c .RI "template 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\&. " .ti -1c .RI "\fBresult_type\fP \fBmin\fP () const" .br .RI "Returns the greatest lower bound value of the distribution\&. " .ti -1c .RI "template \fBresult_type\fP \fBoperator()\fP (_UniformRandomNumberGenerator &__urng)" .br .RI "Generating functions\&. " .ti -1c .RI "template \fBresult_type\fP \fBoperator()\fP (_UniformRandomNumberGenerator &__urng, const \fBparam_type\fP &__p)" .br .ti -1c .RI "double \fBp\fP () const" .br .RI "Returns the distribution \fCp\fP parameter\&. " .ti -1c .RI "\fBparam_type\fP \fBparam\fP () const" .br .RI "Returns the parameter set of the distribution\&. " .ti -1c .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\&. " .ti -1c .RI "_IntType \fBt\fP () const" .br .RI "Returns the distribution \fCt\fP parameter\&. " .in -1c .SS "Friends" .in +1c .ti -1c .RI "template \fBstd::basic_ostream\fP< _CharT, _Traits > & \fBoperator<<\fP (\fBstd::basic_ostream\fP< _CharT, _Traits > &__os, const \fBstd::binomial_distribution\fP< _IntType1 > &__x)" .br .RI "Inserts a binomial_distribution random number distribution \fC__x\fP into the output stream \fC__os\fP\&. " .ti -1c .RI "bool \fBoperator==\fP (const \fBbinomial_distribution\fP &__d1, const \fBbinomial_distribution\fP &__d2)" .br .RI "Return true if two binomial distributions have the same parameters and the sequences that would be generated are equal\&. " .ti -1c .RI "template \fBstd::basic_istream\fP< _CharT, _Traits > & \fBoperator>>\fP (\fBstd::basic_istream\fP< _CharT, _Traits > &__is, \fBstd::binomial_distribution\fP< _IntType1 > &__x)" .br .RI "Extracts a binomial_distribution random number distribution \fC__x\fP from the input stream \fC__is\fP\&. " .in -1c .SH "Detailed Description" .PP .SS "template .br class std::binomial_distribution< _IntType >" A discrete binomial random number distribution\&. The formula for the binomial probability density function is $p(i|t,p) = \binom{t}{i} p^i (1 - p)^{t - i}$ where $t$ and $p$ are the parameters of the distribution\&. .PP Definition at line 3732 of file random\&.h\&. .SH "Member Typedef Documentation" .PP .SS "template typedef _IntType \fBstd::binomial_distribution\fP< _IntType >::\fBresult_type\fP" The type of the range of the distribution\&. .PP Definition at line 3739 of file random\&.h\&. .SH "Member Function Documentation" .PP .SS "template \fBresult_type\fP \fBstd::binomial_distribution\fP< _IntType >::max () const\fC [inline]\fP" .PP Returns the least upper bound value of the distribution\&. .PP Definition at line 3851 of file random\&.h\&. .SS "template \fBresult_type\fP \fBstd::binomial_distribution\fP< _IntType >::min () const\fC [inline]\fP" .PP Returns the greatest lower bound value of the distribution\&. .PP Definition at line 3844 of file random\&.h\&. .SS "template template \fBresult_type\fP \fBstd::binomial_distribution\fP< _IntType >::operator() (_UniformRandomNumberGenerator & __urng)\fC [inline]\fP" .PP Generating functions\&. .PP Definition at line 3859 of file random\&.h\&. .SS "template template \fBbinomial_distribution\fP< _IntType >::\fBresult_type\fP \fBstd::binomial_distribution\fP< _IntType >::operator() (_UniformRandomNumberGenerator & __urng, const \fBparam_type\fP & __param)" A rejection algorithm when t * p >= 8 and a simple waiting time method - the second in the referenced book - otherwise\&. NB: The former is available only if _GLIBCXX_USE_C99_MATH_TR1 is defined\&. .PP Reference: Devroye, L\&. Non-Uniform Random Variates Generation\&. Springer-Verlag, New York, 1986, Ch\&. X, Sect\&. 4 (+ Errata!)\&. .PP Definition at line 1539 of file bits/random\&.tcc\&. .PP References std::abs(), std::numeric_limits< _Tp >::epsilon(), std::log(), and std::numeric_limits< _Tp >::max()\&. .SS "template double \fBstd::binomial_distribution\fP< _IntType >::p () const\fC [inline]\fP" .PP Returns the distribution \fCp\fP parameter\&. .PP Definition at line 3822 of file random\&.h\&. .SS "template \fBparam_type\fP \fBstd::binomial_distribution\fP< _IntType >::param () const\fC [inline]\fP" .PP Returns the parameter set of the distribution\&. .PP Definition at line 3829 of file random\&.h\&. .SS "template void \fBstd::binomial_distribution\fP< _IntType >::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 3837 of file random\&.h\&. .SS "template void \fBstd::binomial_distribution\fP< _IntType >::reset ()\fC [inline]\fP" .PP Resets the distribution state\&. .PP Definition at line 3808 of file random\&.h\&. .PP References std::normal_distribution< _RealType >::reset()\&. .SS "template _IntType \fBstd::binomial_distribution\fP< _IntType >::t () const\fC [inline]\fP" .PP Returns the distribution \fCt\fP parameter\&. .PP Definition at line 3815 of file random\&.h\&. .SH "Friends And Related Function Documentation" .PP .SS "template template \fBstd::basic_ostream\fP<_CharT, _Traits>& operator<< (\fBstd::basic_ostream\fP< _CharT, _Traits > & __os, const \fBstd::binomial_distribution\fP< _IntType1 > & __x)\fC [friend]\fP" .PP Inserts a binomial_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 binomial_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 bool operator== (const \fBbinomial_distribution\fP< _IntType > & __d1, const \fBbinomial_distribution\fP< _IntType > & __d2)\fC [friend]\fP" .PP Return true if two binomial distributions have the same parameters and the sequences that would be generated are equal\&. .PP Definition at line 3895 of file random\&.h\&. .SS "template template \fBstd::basic_istream\fP<_CharT, _Traits>& operator>> (\fBstd::basic_istream\fP< _CharT, _Traits > & __is, \fBstd::binomial_distribution\fP< _IntType1 > & __x)\fC [friend]\fP" .PP Extracts a binomial_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 binomial_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 Generated automatically by Doxygen for libstdc++ from the source code\&.