[rand.dist.general] # 29 Numerics library [[numerics]](./#numerics) ## 29.5 Random number generation [[rand]](rand#dist.general) ### 29.5.9 Random number distribution class templates [[rand.dist]](rand.dist#general) #### 29.5.9.1 General [rand.dist.general] [1](#1) [#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L4486) Each type instantiated from a class template specified in [[rand.dist]](rand.dist "29.5.9 Random number distribution class templates") meets the requirements of a [random number distribution](rand.req.dist "29.5.3.6 Random number distribution requirements [rand.req.dist]") type[.](#1.sentence-1) [2](#2) [#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L4492) Descriptions are provided in [[rand.dist]](rand.dist "29.5.9 Random number distribution class templates") only for distribution operations that are not described in [[rand.req.dist]](rand.req.dist "29.5.3.6 Random number distribution requirements") or for operations where there is additional semantic information[.](#2.sentence-1) In particular, declarations for copy constructors, for copy assignment operators, for streaming operators, and for equality and inequality operators are not shown in the synopses[.](#2.sentence-2) [3](#3) [#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L4504) The algorithms for producing each of the specified distributions areimplementation-defined[.](#3.sentence-1) [4](#4) [#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L4509) The value of each probability density function p(z) and of each discrete probability function P(zi) specified in this subclause is 0 everywhere outside its stated domain[.](#4.sentence-1)