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    <p>For <code>template&lt;class RealType, size_t bits, class URNG&gt; std::generate_canonical</code> the standard (section 27.5.7.2) explicitly defines the number of calls to the uniform random number generator (URNG) to be</p> <p>max(1, b / log_2 R),</p> <p>where b is the minimum of the number of bits in the mantissa of the RealType and the number of bits given to generate_canonical as template parameter. R is the range of numbers the URNG can return <code>(URNG::max()-URNG::min()+1)</code>. However, in your example this will not make any difference, since you need 2 calls to the mt19937 to fill the 53 bits of the mantissa of the double.</p> <p>For other distributions the standard does not provide a generic way to get any information on how many numbers the URNG has to generate to obtain one number of the distribution.</p> <p>A reason might be that for some distributions the number uniform random numbers required to generate a single number of the distribution is not fixed and may vary from call to call. An example is the <code>std::poisson_distribution</code>, which is usually implemented as a loop which draws a uniform random number in each iteration until the product of these numbers has reached a certain threshold (see for example the <a href="http://gcc.gnu.org/git/?p=gcc.git;a=blob_plain;f=libstdc%2b%2b-v3/include/bits/random.tcc;hb=503700a925ac27ea615eecb149062442c869a0f0" rel="nofollow" title="random.tcc">implementation of the GNU C++ library</a> (line 1523-1528)).</p>
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    1. POHow many random numbers does std::uniform_real_distribution use?
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    1. POHow many random numbers does std::uniform_real_distribution use?
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