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Add explicit casting for int to floating point types
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@@ -12,7 +12,7 @@
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namespace boost::math::tools {
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// Algorithm 1 of https://people.mpim-bonn.mpg.de/zagier/files/exp-math-9/fulltext.pdf
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// Convergence Acceleration of Alternating Series: Henri Cohen, Fernando Rodriguez Villegas, and Don Zagier
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// Convergence Acceleration of Alternating Series: Henri Cohen, Fernando Rodriguez Villegas, and Don Zagier
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template<class G>
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auto cohen_acceleration(G& generator, std::int64_t n = -1)
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{
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@@ -23,16 +23,16 @@ auto cohen_acceleration(G& generator, std::int64_t n = -1)
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using std::pow;
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using std::ceil;
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using std::sqrt;
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Real n_ = n;
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auto n_ = static_cast<Real>(n);
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if (n < 0)
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{
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// relative error grows as 2*5.828^-n; take 5.828^-n < eps/4 => -nln(5.828) < ln(eps/4) => n > ln(4/eps)/ln(5.828).
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// Is there a way to do it rapidly with std::log2? (Yes, of course; but for primitive types it's computed at compile-time anyway.)
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n_ = ceil(log(4/std::numeric_limits<Real>::epsilon())*0.5672963285532555);
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n_ = static_cast<Real>(ceil(log(4/std::numeric_limits<Real>::epsilon())*0.5672963285532555));
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n = static_cast<std::int64_t>(n_);
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}
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// d can get huge and overflow if you pick n too large:
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Real d = pow(3 + sqrt(Real(8)), n);
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auto d = static_cast<Real>(pow(3 + sqrt(Real(8)), n));
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d = (d + 1/d)/2;
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Real b = -1;
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Real c = -d;
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