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Refactored code into type-specific helper functions.
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@ -744,6 +744,56 @@ struct zeta_impl {
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};
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#else
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template <typename Scalar>
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struct zeta_impl_series {
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EIGEN_DEVICE_FUNC
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static EIGEN_STRONG_INLINE Scalar run(const Scalar) {
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EIGEN_STATIC_ASSERT((internal::is_same<Scalar, Scalar>::value == false),
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THIS_TYPE_IS_NOT_SUPPORTED);
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return Scalar(0);
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}
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};
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template <>
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struct zeta_impl_series<float> {
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
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static bool run(float& a, float& b, float& s, const float x, const float machep) {
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int i = 0;
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while(i < 9)
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{
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i += 1;
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a += 1.0f;
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b = numext::pow( a, -x );
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s += b;
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if( numext::abs(b/s) < machep )
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return true;
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}
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//Return whether we are done
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return false;
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}
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};
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template <>
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struct zeta_impl_series<double> {
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
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static bool run(double& a, double& b, double& s, const double x, const double machep) {
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int i = 0;
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while( (i < 9) || (a <= 9.0) )
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{
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i += 1;
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a += 1.0;
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b = numext::pow( a, -x );
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s += b;
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if( numext::abs(b/s) < machep )
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return true;
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}
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//Return whether we are done
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return false;
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}
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};
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template <typename Scalar>
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struct zeta_impl {
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@ -809,18 +859,18 @@ struct zeta_impl {
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Scalar p, r, a, b, k, s, t, w;
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const Scalar A[] = {
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12.0,
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-720.0,
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30240.0,
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-1209600.0,
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47900160.0,
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-1.8924375803183791606e9, /*1.307674368e12/691*/
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7.47242496e10,
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-2.950130727918164224e12, /*1.067062284288e16/3617*/
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1.1646782814350067249e14, /*5.109094217170944e18/43867*/
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-4.5979787224074726105e15, /*8.028576626982912e20/174611*/
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1.8152105401943546773e17, /*1.5511210043330985984e23/854513*/
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-7.1661652561756670113e18 /*1.6938241367317436694528e27/236364091*/
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Scalar(12.0),
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Scalar(-720.0),
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Scalar(30240.0),
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Scalar(-1209600.0),
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Scalar(47900160.0),
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Scalar(-1.8924375803183791606e9), /*1.307674368e12/691*/
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Scalar(7.47242496e10),
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Scalar(-2.950130727918164224e12), /*1.067062284288e16/3617*/
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Scalar(1.1646782814350067249e14), /*5.109094217170944e18/43867*/
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Scalar(-4.5979787224074726105e15), /*8.028576626982912e20/174611*/
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Scalar(1.8152105401943546773e17), /*1.5511210043330985984e23/854513*/
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Scalar(-7.1661652561756670113e18) /*1.6938241367317436694528e27/236364091*/
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};
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const Scalar maxnum = NumTraits<Scalar>::infinity();
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@ -854,16 +904,10 @@ struct zeta_impl {
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*/
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s = numext::pow( q, -x );
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a = q;
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i = 0;
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b = zero;
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while( (i < 9) || (a <= Scalar(9)) )
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{
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i += 1;
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a += one;
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b = numext::pow( a, -x );
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s += b;
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if( numext::abs(b/s) < machep )
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return s;
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// Run the summation in a helper function that is specific to the floating precision
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if (zeta_impl_series<Scalar>::run(a, b, s, x, machep)) {
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return s;
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}
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w = a;
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