sinh_sinh_detail(size_t max_refinements);
template<class F>
- Real integrate(const F f, Real tolerance, Real* error, Real* L1, std::size_t* levels) const;
+ auto integrate(const F f, Real tolerance, Real* error, Real* L1, std::size_t* levels)->decltype(std::declval<F>()(std::declval<Real>())) const;
private:
private:
template<class Real, class Policy>
template<class F>
-Real sinh_sinh_detail<Real, Policy>::integrate(const F f, Real tolerance, Real* error, Real* L1, std::size_t* levels) const
+auto sinh_sinh_detail<Real, Policy>::integrate(const F f, Real tolerance, Real* error, Real* L1, std::size_t* levels)->decltype(std::declval<F>()(std::declval<Real>())) const
{
using std::abs;
using std::sqrt;
static const char* function = "boost::math::quadrature::sinh_sinh<%1%>::integrate";
- Real y_max = f(boost::math::tools::max_value<Real>());
- if(abs(y_max) > boost::math::tools::epsilon<Real>() || !(boost::math::isfinite)(y_max))
+ typedef decltype(f(Real(0))) K;
+ K y_max = f(boost::math::tools::max_value<Real>());
+ if(abs(y_max) > boost::math::tools::epsilon<Real>())
{
- return policies::raise_domain_error(function,
- "The function you are trying to integrate does not go to zero at infinity, and instead evaluates to %1%", y_max, Policy());
+ return static_cast<K>(policies::raise_domain_error(function,
+ "The function you are trying to integrate does not go to zero at infinity, and instead evaluates to %1%", y_max, Policy()));
}
- Real y_min = f(-boost::math::tools::max_value<Real>());
- if(abs(y_min) > boost::math::tools::epsilon<Real>() || !(boost::math::isfinite)(y_min))
+ K y_min = f(-boost::math::tools::max_value<Real>());
+ if(abs(y_min) > boost::math::tools::epsilon<Real>())
{
- return policies::raise_domain_error(function,
- "The function you are trying to integrate does not go to zero at -infinity, and instead evaluates to %1%", y_max, Policy());
+ return static_cast<K>(policies::raise_domain_error(function,
+ "The function you are trying to integrate does not go to zero at -infinity, and instead evaluates to %1%", y_max, Policy()));
}
// Get the party started with two estimates of the integral:
- Real I0 = f(0)*half_pi<Real>();
+ K I0 = f(0)*half_pi<Real>();
Real L1_I0 = abs(I0);
for(size_t i = 0; i < m_abscissas[0].size(); ++i)
{
Real x = m_abscissas[0][i];
- Real yp = f(x);
- Real ym = f(-x);
+ K yp = f(x);
+ K ym = f(-x);
I0 += (yp + ym)*m_weights[0][i];
L1_I0 += (abs(yp)+abs(ym))*m_weights[0][i];
}
// Uncomment the estimates to work the convergence on the command line.
// std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
// std::cout << "First estimate : " << I0 << std::endl;
- Real I1 = I0;
+ K I1 = I0;
Real L1_I1 = L1_I0;
for (size_t i = 0; i < m_abscissas[1].size(); ++i)
{
Real x= m_abscissas[1][i];
- Real yp = f(x);
- Real ym = f(-x);
+ K yp = f(x);
+ K ym = f(-x);
I1 += (yp + ym)*m_weights[1][i];
L1_I1 += (abs(yp) + abs(ym))*m_weights[1][i];
}
L1_I1 *= half<Real>();
Real err = abs(I0 - I1);
// std::cout << "Second estimate: " << I1 << " Error estimate at level " << 1 << " = " << err << std::endl;
-
+
size_t i = 2;
for(; i <= m_max_refinements; ++i)
{
I1 = half<Real>()*I0;
L1_I1 = half<Real>()*L1_I0;
Real h = (Real) 1/ (Real) (1 << i);
- Real sum = 0;
+ K sum = 0;
Real absum = 0;
Real abterm1 = 1;
for(size_t j = 0; j < abscissa_row.size(); ++j)
{
Real x = abscissa_row[j];
- Real yp = f(x);
- Real ym = f(-x);
+ K yp = f(x);
+ K ym = f(-x);
sum += (yp + ym)*weight_row[j];
Real abterm0 = (abs(yp) + abs(ym))*weight_row[j];
absum += abterm0;
L1_I1 += absum*h;
err = abs(I0 - I1);
// std::cout << "Estimate: " << I1 << " Error estimate at level " << i << " = " << err << std::endl;
- if (!(boost::math::isfinite)(I1))
+ if (!(boost::math::isfinite)(L1_I1))
{
const char* err_msg = "The sinh_sinh quadrature evaluated your function at a singular point, leading to the value %1%.\n"
"sinh_sinh quadrature cannot handle singularities in the domain.\n"
"If you are sure your function has no singularities, please submit a bug against boost.math\n";
- return policies::raise_evaluation_error(function, err_msg, I1, Policy());
+ return static_cast<K>(policies::raise_evaluation_error(function, err_msg, I1, Policy()));
}
if (err <= tolerance*L1_I1)
{
{ 1.57146132e+00f, 1.57679017e+00f, 1.58749564e+00f, 1.60367396e+00f, 1.62547113e+00f, 1.65308501e+00f, 1.68676814e+00f, 1.72683132e+00f, 1.77364814e+00f, 1.82766042e+00f, 1.88938482e+00f, 1.95942057e+00f, 2.03845873e+00f, 2.12729290e+00f, 2.22683194e+00f, 2.33811466e+00f, 2.46232715e+00f, 2.60082286e+00f, 2.75514621e+00f, 2.92706011e+00f, 3.11857817e+00f, 3.33200254e+00f, 3.56996830e+00f, 3.83549565e+00f, 4.13205150e+00f, 4.46362211e+00f, 4.83479919e+00f, 5.25088196e+00f, 5.71799849e+00f, 6.24325042e+00f, 6.83488580e+00f, 7.50250620e+00f, 8.25731548e+00f, 9.11241941e+00f, 1.00831875e+01f, 1.11876913e+01f, 1.24472371e+01f, 1.38870139e+01f, 1.55368872e+01f, 1.74323700e+01f, 1.96158189e+01f, 2.21379089e+01f, 2.50594593e+01f, 2.84537038e+01f, 3.24091185e+01f, 3.70329629e+01f, 4.24557264e+01f, 4.88367348e+01f, 5.63712464e+01f, 6.52994709e+01f, 7.59180776e+01f, 8.85949425e+01f, 1.03788130e+02f, 1.22070426e+02f, 1.44161210e+02f, 1.70968019e+02f, 2.03641059e+02f, 2.43645006e+02f, 2.92854081e+02f, 3.53678602e+02f, 4.29234308e+02f, 5.23570184e+02f, 6.41976690e+02f, 7.91405208e+02f, 9.81042209e+02f, 1.22309999e+03f, 1.53391256e+03f, 1.93546401e+03f, 2.45753455e+03f, 3.14073373e+03f, 4.04081819e+03f, 5.23488160e+03f, 6.83029446e+03f, 8.97771323e+03f, 1.18901592e+04f, 1.58712239e+04f, 2.13571111e+04f, 2.89798371e+04f, 3.96630673e+04f, 5.47687519e+04f, 7.63235654e+04f, 1.07371915e+05f, 1.52531667e+05f, 2.18877843e+05f, 3.17362450e+05f, 4.65120153e+05f, 6.89253766e+05f, 1.03311989e+06f, 1.56688798e+06f, 2.40549203e+06f, 3.73952896e+06f, 5.88912115e+06f, 9.39904635e+06f, 1.52090328e+07f, 2.49628719e+07f, 4.15775926e+07f, 7.03070537e+07f, 1.20759856e+08f, 2.10788251e+08f, 3.74104720e+08f, 6.75449459e+08f, 1.24131674e+09f, 2.32331003e+09f, 4.43117602e+09f, 8.61744649e+09f, 1.70983691e+10f, 3.46357452e+10f, 7.16760712e+10f, 1.51634762e+11f, 3.28172932e+11f, 7.27110260e+11f, 1.65049955e+12f, 3.84133815e+12f, 9.17374427e+12f, 2.24990195e+13f, 5.67153509e+13f, 1.47074225e+14f, 3.92701252e+14f, 1.08063998e+15f, 3.06767147e+15f, 8.99238679e+15f, 2.72472254e+16f, 8.54294612e+16f, 2.77461372e+17f, 9.34529948e+17f, 3.26799612e+18f, 1.18791443e+19f, 4.49405341e+19f, 1.77170665e+20f, },
{ 1.57096255e+00f, 1.57229290e+00f, 1.57495658e+00f, 1.57895955e+00f, 1.58431079e+00f, 1.59102230e+00f, 1.59910918e+00f, 1.60858966e+00f, 1.61948515e+00f, 1.63182037e+00f, 1.64562338e+00f, 1.66092569e+00f, 1.67776241e+00f, 1.69617233e+00f, 1.71619809e+00f, 1.73788633e+00f, 1.76128784e+00f, 1.78645779e+00f, 1.81345587e+00f, 1.84234658e+00f, 1.87319943e+00f, 1.90608922e+00f, 1.94109632e+00f, 1.97830698e+00f, 2.01781368e+00f, 2.05971547e+00f, 2.10411838e+00f, 2.15113585e+00f, 2.20088916e+00f, 2.25350798e+00f, 2.30913084e+00f, 2.36790578e+00f, 2.42999091e+00f, 2.49555516e+00f, 2.56477893e+00f, 2.63785496e+00f, 2.71498915e+00f, 2.79640147e+00f, 2.88232702e+00f, 2.97301705e+00f, 3.06874019e+00f, 3.16978367e+00f, 3.27645477e+00f, 3.38908227e+00f, 3.50801806e+00f, 3.63363896e+00f, 3.76634859e+00f, 3.90657947e+00f, 4.05479525e+00f, 4.21149322e+00f, 4.37720695e+00f, 4.55250922e+00f, 4.73801517e+00f, 4.93438579e+00f, 5.14233166e+00f, 5.36261713e+00f, 5.59606472e+00f, 5.84356014e+00f, 6.10605759e+00f, 6.38458564e+00f, 6.68025373e+00f, 6.99425915e+00f, 7.32789480e+00f, 7.68255767e+00f, 8.05975815e+00f, 8.46113023e+00f, 8.88844279e+00f, 9.34361190e+00f, 9.82871448e+00f, 1.03460033e+01f, 1.08979234e+01f, 1.14871305e+01f, 1.21165112e+01f, 1.27892047e+01f, 1.35086281e+01f, 1.42785033e+01f, 1.51028871e+01f, 1.59862046e+01f, 1.69332867e+01f, 1.79494108e+01f, 1.90403465e+01f, 2.02124072e+01f, 2.14725057e+01f, 2.28282181e+01f, 2.42878539e+01f, 2.58605342e+01f, 2.75562800e+01f, 2.93861096e+01f, 3.13621485e+01f, 3.34977526e+01f, 3.58076454e+01f, 3.83080730e+01f, 4.10169773e+01f, 4.39541917e+01f, 4.71416602e+01f, 5.06036855e+01f, 5.43672075e+01f, 5.84621188e+01f, 6.29216205e+01f, 6.77826252e+01f, 7.30862125e+01f, 7.88781469e+01f, 8.52094636e+01f, 9.21371360e+01f, 9.97248336e+01f, 1.08043785e+02f, 1.17173764e+02f, 1.27204209e+02f, 1.38235512e+02f, 1.50380485e+02f, 1.63766039e+02f, 1.78535118e+02f, 1.94848913e+02f, 2.12889407e+02f, 2.32862309e+02f, 2.55000432e+02f, 2.79567594e+02f, 3.06863126e+02f, 3.37227087e+02f, 3.71046310e+02f, 4.08761417e+02f, 4.50874968e+02f, 4.97960949e+02f, 5.50675821e+02f, 6.09771424e+02f, 6.76110054e+02f, 7.50682104e+02f, 8.34626760e+02f, 9.29256285e+02f, 1.03608458e+03f, 1.15686082e+03f, 1.29360914e+03f, 1.44867552e+03f, 1.62478326e+03f, 1.82509876e+03f, 2.05330964e+03f, 2.31371761e+03f, 2.61134924e+03f, 2.95208799e+03f, 3.34283233e+03f, 3.79168493e+03f, 4.30817984e+03f, 4.90355562e+03f, 5.59108434e+03f, 6.38646863e+03f, 7.30832183e+03f, 8.37874981e+03f, 9.62405722e+03f, 1.10756067e+04f, 1.27708661e+04f, 1.47546879e+04f, 1.70808754e+04f, 1.98141031e+04f, 2.30322789e+04f, 2.68294532e+04f, 3.13194118e+04f, 3.66401221e+04f, 4.29592484e+04f, 5.04810088e+04f, 5.94547213e+04f, 7.01854788e+04f, 8.30475173e+04f, 9.85009981e+04f, 1.17113127e+05f, 1.39584798e+05f, 1.66784302e+05f, 1.99790063e+05f, 2.39944995e+05f, 2.88925794e+05f, 3.48831531e+05f, 4.22297220e+05f, 5.12639825e+05f, 6.24046488e+05f, 7.61817907e+05f, 9.32683930e+05f, 1.14521401e+06f, 1.41035265e+06f, 1.74212004e+06f, 2.15853172e+06f, 2.68280941e+06f, 3.34498056e+06f, 4.18399797e+06f, 5.25055801e+06f, 6.61086017e+06f, 8.35163942e+06f, 1.05869253e+07f, 1.34671524e+07f, 1.71914827e+07f, 2.20245345e+07f, 2.83191730e+07f, 3.65476782e+07f, 4.73445266e+07f, 6.15653406e+07f, 8.03684303e+07f, 1.05328028e+08f, 1.38592169e+08f, 1.83103699e+08f, 2.42910946e+08f, 3.23606239e+08f, 4.32947522e+08f, 5.81743297e+08f, 7.85117979e+08f, 1.06432920e+09f, 1.44938958e+09f, 1.98286647e+09f, 2.72541431e+09f, 3.76386796e+09f, 5.22313881e+09f, 7.28378581e+09f, 1.02080964e+10f, 1.43789932e+10f, 2.03583681e+10f, 2.89749983e+10f, 4.14577375e+10f, 5.96383768e+10f, 8.62622848e+10f, 1.25466705e+11f, 1.83521298e+11f, 2.69981221e+11f, 3.99492845e+11f, 5.94638056e+11f, 8.90440997e+11f, 1.34155194e+12f, 2.03376855e+12f, 3.10262796e+12f, 4.76359832e+12f, 7.36142036e+12f, 1.14512696e+13f, 1.79331419e+13f, 2.82758550e+13f, 4.48929705e+13f, 7.17780287e+13f, 1.15585510e+14f, 1.87483389e+14f, 3.06351036e+14f, 5.04340065e+14f, 8.36616340e+14f, 1.39855635e+15f, 2.35633575e+15f, 4.00176517e+15f, 6.85137513e+15f, 1.18269011e+16f, 2.05867353e+16f, 3.61396878e+16f, 6.39911218e+16f, 1.14301619e+17f, 2.05988138e+17f, 3.74584679e+17f, 6.87444303e+17f, 1.27340764e+18f, 2.38124192e+18f, 4.49583562e+18f, 8.57144202e+18f, 1.65044358e+19f, 3.21010035e+19f, 6.30778012e+19f, 1.25240403e+20f, 2.51300530e+20f, 5.09677626e+20f, },
};
+#ifndef BOOST_MATH_NO_ATOMIC_INT
m_committed_refinements = static_cast<boost::math::detail::atomic_unsigned_integer_type>(m_weights.size() - 1);
+#else
+ m_committed_refinements = m_weights.size() - 1;
+#endif
m_t_max = 4.03936524f;
if (m_max_refinements >= m_abscissas.size())
{
{ 1.571461316550783294e+00, 1.576790166316938345e+00, 1.587495640370383316e+00, 1.603673956341370210e+00, 1.625471125457493943e+00, 1.653085011915939302e+00, 1.686768142525911236e+00, 1.726831323537516202e+00, 1.773648138667236602e+00, 1.827660421478661448e+00, 1.889384817044018196e+00, 1.959420572855037091e+00, 2.038458728047908923e+00, 2.127292904083847225e+00, 2.226831940199076941e+00, 2.338114664555130296e+00, 2.462327148722991304e+00, 2.600822860927085164e+00, 2.755146214814554359e+00, 2.927060108424483555e+00, 3.118578166240921951e+00, 3.332002540339506630e+00, 3.569968300410740276e+00, 3.835495653996447262e+00, 4.132051496512934885e+00, 4.463622106699067881e+00, 4.834799191008006557e+00, 5.250881957765679608e+00, 5.717998490875333124e+00, 6.243250421598568105e+00, 6.834885801226541839e+00, 7.502506202789340802e+00, 8.257315484493544201e+00, 9.112419405864642634e+00, 1.008318749543997758e+01, 1.118769134993865202e+01, 1.244723705914106881e+01, 1.388701390605507587e+01, 1.553688715915900190e+01, 1.743237000680942831e+01, 1.961581894823993424e+01, 2.213790886354273806e+01, 2.505945934677137610e+01, 2.845370377742137561e+01, 3.240911845969524834e+01, 3.703296289480230161e+01, 4.245572644746267911e+01, 4.883673480337985582e+01, 5.637124640586975420e+01, 6.529947092752610340e+01, 7.591807755694122837e+01, 8.859494252391663822e+01, 1.037881295005788124e+02, 1.220704263969226746e+02, 1.441612098131200535e+02, 1.709680191245773511e+02, 2.036410593843575570e+02, 2.436450058708723643e+02, 2.928540812182076105e+02, 3.536786019152253392e+02, 4.292343083967296939e+02, 5.235701840488733027e+02, 6.419766898003024575e+02, 7.914052083668759283e+02, 9.810422089081931637e+02, 1.223099994999740393e+03, 1.533912555427112127e+03, 1.935464013605830339e+03, 2.457534549912886852e+03, 3.140733731623635519e+03, 4.040818188564651898e+03, 5.234881599712225681e+03, 6.830294457607329226e+03, 8.977713228649887143e+03, 1.189015920967326839e+04, 1.587122387044346962e+04, 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};
+#ifndef BOOST_MATH_NO_ATOMIC_INT
m_committed_refinements = static_cast<boost::math::detail::atomic_unsigned_integer_type>(m_weights.size() - 1);
+#else
+ m_committed_refinements = m_weights.size() - 1;
+#endif
m_t_max = 6.114056619798597593;
if (m_max_refinements >= m_abscissas.size())
{
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3.29340233091271285034548969456076701e+664L, 8.78384225704905897945003526718634352e+674L, 3.41824790512159692619674889187554870e+685L, 1.95247619547378795632466874007982924e+696L, 1.64685615123975037569921507294781182e+707L, 2.06385512057306929298128483493412318e+718L, 3.86691162964076111860523245198584961e+729L, 1.09008736553561747232882422664193409e+741L, 4.65333391196364819411904308657257877e+752L, 3.02768585771015415481330091322447912e+764L, 3.02262040534180824988954474846992913e+776L, 4.66133722640174567906974646266839244e+788L, 1.11806119156969171229108916233644999e+801L, 4.20019655376202192049844032418033555e+813L, 2.48880615873773868126893696694455625e+826L, 2.34286193142054643224145247339492426e+839L, 3.52941162196327496812531706159176164e+852L, 8.57183106082165907783781027353105401e+865L, 3.38163627323872188047900717079347979e+879L, 2.18363447282104345585022834572887531e+893L, 2.32596275137292895223293068081362090e+907L, 4.11925247272574761366980289309686003e+921L, 1.22265489460258041690738897372130823e+936L, 6.13184165651799059701146847592463464e+950L, 5.23922303275545560334122760478493484e+965L, 7.69087233862553980667730597006685190e+980L, 1.95622275953749870274795206909257068e+996L, 8.69670052895401378378113763338699958e+1011L, 6.81715148318539616903616353647181598e+1027L, 9.50697711954141544724599553989093262e+1043L, 2.38019733682587370869498352841844428e+1060L, 1.07973324919847346937291516197684901e+1077L, 8.95814284819025403820872820042945790e+1093L, 1.37229192661307043018958002675397831e+1111L, 3.91918794622242371528673544888524419e+1128L, 2.10730218913863433412315532873510194e+1146L, 2.15459607934366008026324206138837528e+1164L, 4.23163839295623007237154131840451677e+1182L, 1.61294441956204958952970453918741185e+1201L, 1.20568335528354973250479511763057854e+1220L, 1.78630819666459637235669417819650103e+1239L, 5.30233997012953850434143324467683139e+1258L, 3.18800705045665419646272046839479382e+1278L, 3.92589619613994835597705628928304867e+1298L, 1.00145056975313260959947278741812233e+1319L, 5.35268808912615454171856125906228237e+1339L, 6.06491960606218539467705074145131193e+1360L, 1.47410187506507259371724909079906759e+1382L, 7.77855372825975976779550291054389078e+1403L, 9.02071339187528665617085297107535931e+1425L, 2.32776342394968427168699373890370933e+1448L, 1.35351409374730203846799381939288903e+1471L, 1.79625881886715571166142200348072039e+1494L, 5.51189494978629938318487744451579809e+1517L, 3.96270198063441303687686251379779681e+1541L, 6.76492837567767494547614386605795924e+1565L, 2.77991073110506719318274536923711255e+1590L, 2.78805951202715437087943440518839779e+1615L, 6.92116280606414755524296394791409952e+1640L, 4.31380309053366092943951122004431463e+1666L, 6.84923073262139995438889690748178280e+1692L, 2.81137418164430829179092468240459910e+1719L, 3.02821524237655652451836921974619657e+1746L, 8.69048903533522694231765189726868666e+1773L, 6.74828063313306417588175763238310325e+1801L, 1.44026065844141159256872926595644247e+1830L, 8.58426091495439408178371839859019039e+1858L, 1.45211919400936944187225846047638548e+1888L, 7.08718013380970011842483247147601395e+1917L, 1.01475962220405902523641440040104610e+1948L, 4.33542978691578087509838132034723750e+1978L, 5.62285772227295495777726116212032065e+2009L, 2.25285072921565445630031609130087435e+2041L, 2.83839050906274298341210206309759282e+2073L, 1.14501659579022194588844609345877849e+2106L, 1.50629562239998305958408533546634030e+2139L, 6.58342161306998815751663631350733541e+2172L, 9.74198999952210922892973281379349494e+2206L, 4.97552704772088889228035264268694867e+2241L, 8.94330619882842342247706838649878784e+2276L, 5.77072420156026800834371478648673792e+2312L, 1.36388225285320494361282201451878478e+2349L, 1.20508189950290985406298094670730466e+2386L, 4.06413362486490272506766749982212198e+2423L, 5.34308092015215251528601382597439463e+2461L, },
};
+#ifndef BOOST_MATH_NO_ATOMIC_INT
m_committed_refinements = static_cast<boost::math::detail::atomic_unsigned_integer_type>(m_weights.size() - 1);
+#else
+ m_committed_refinements = m_weights.size() - 1;
+#endif
m_t_max = 8.88600744303961370002819023592353264e+00L;
if (m_max_refinements >= m_abscissas.size())
{
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};
+#ifndef BOOST_MATH_NO_ATOMIC_INT
m_committed_refinements = static_cast<boost::math::detail::atomic_unsigned_integer_type>(m_weights.size() - 1);
+#else
+ m_committed_refinements = m_weights.size() - 1;
+#endif
m_t_max = 8.88600744303961370002819023592353264e+00Q;
if (m_max_refinements >= m_abscissas.size())
{
projects / ceph.git / blobdiff