diff --git a/include/integratorxx/composite_quadratures/pruned_spherical_quadrature.hpp b/include/integratorxx/composite_quadratures/pruned_spherical_quadrature.hpp index 5be506f..cb460b0 100644 --- a/include/integratorxx/composite_quadratures/pruned_spherical_quadrature.hpp +++ b/include/integratorxx/composite_quadratures/pruned_spherical_quadrature.hpp @@ -289,7 +289,7 @@ struct quadrature_traits< for( size_t i = 0; i < npr; ++i ) { const auto ij = i + j * npr; - sub_weights[ij] *= 4 * M_PI * rp[i] * rp[i]; + sub_weights[ij] *= rp[i] * rp[i]; } diff --git a/include/integratorxx/composite_quadratures/spherical_quadrature.hpp b/include/integratorxx/composite_quadratures/spherical_quadrature.hpp index 45119d6..e26bf91 100644 --- a/include/integratorxx/composite_quadratures/spherical_quadrature.hpp +++ b/include/integratorxx/composite_quadratures/spherical_quadrature.hpp @@ -226,7 +226,7 @@ struct quadrature_traits< for( size_t i = 0; i < npr; ++i ) { const auto ij = i + j * npr; - weights[ij] *= 4 * M_PI * rp[i] * rp[i]; + weights[ij] *= rp[i] * rp[i]; } diff --git a/include/integratorxx/quadratures/ahrens_beylkin.hpp b/include/integratorxx/quadratures/ahrens_beylkin.hpp new file mode 100644 index 0000000..09a9281 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin.hpp @@ -0,0 +1,526 @@ +#pragma once + +#include +#include +#include + +namespace IntegratorXX { + +/** + * @brief Implementation of Ahrens-Beylkin quadrature on the sphere. + * + * Reference: + * Proc. R. Soc. A (2009) 465, 3103. + * DOI: https://doi.org/10.1098/rspa.2009.0104 + * + * @tparam PointContainer Quadrature points + * @tparam WeightContainer Quadrature weights + */ + +namespace detail::ahrensbeylkin { + +inline static int64_t npts_by_algebraic_order(int64_t order) { + switch (order) { + case 14: + return 72; + case 19: + return 132; + case 23: + return 192; + case 29: + return 312; + case 32: + return 372; + case 35: + return 432; + case 37: + return 492; + case 39: + return 552; + case 41: + return 612; + case 44: + return 672; + case 45: + return 732; + case 47: + return 792; + case 51: + return 912; + case 53: + return 972; + case 54: + return 1032; + case 56: + return 1092; + case 60: + return 1272; + case 62: + return 1332; + case 63: + return 1392; + case 66: + return 1512; + case 67: + return 1572; + case 69: + return 1632; + case 70: + return 1692; + case 72: + return 1812; + case 75: + return 1932; + case 76: + return 1992; + case 78: + return 2112; + case 79: + return 2172; + case 80: + return 2232; + case 81: + return 2292; + case 84: + return 2412; + case 85: + return 2472; + case 89: + return 2712; + case 90: + return 2772; + case 91: + return 2832; + case 94: + return 3012; + case 98: + return 3312; + case 99: + return 3372; + case 100: + return 3432; + case 101: + return 3492; + case 103: + return 3612; + case 105: + return 3792; + case 111: + return 4212; + case 113: + return 4332; + case 116: + return 4572; + case 117: + return 4692; + case 121: + return 4992; + case 124: + return 5232; + case 127: + return 5472; + case 128: + return 5592; + case 130: + return 5772; + case 135: + return 6192; + case 136: + return 6312; + case 143: + return 6912; + case 149: + return 7512; + case 210: + return 15012; + default: + return -1; + } +} + +inline static int64_t algebraic_order_by_npts(int64_t npts) { + switch (npts) { + case 72: + return 14; + case 132: + return 19; + case 192: + return 23; + case 312: + return 29; + case 372: + return 32; + case 432: + return 35; + case 492: + return 37; + case 552: + return 39; + case 612: + return 41; + case 672: + return 44; + case 732: + return 45; + case 792: + return 47; + case 912: + return 51; + case 972: + return 53; + case 1032: + return 54; + case 1092: + return 56; + case 1272: + return 60; + case 1332: + return 62; + case 1392: + return 63; + case 1512: + return 66; + case 1572: + return 67; + case 1632: + return 69; + case 1692: + return 70; + case 1812: + return 72; + case 1932: + return 75; + case 1992: + return 76; + case 2112: + return 78; + case 2172: + return 79; + case 2232: + return 80; + case 2292: + return 81; + case 2412: + return 84; + case 2472: + return 85; + case 2712: + return 89; + case 2772: + return 90; + case 2832: + return 91; + case 3012: + return 94; + case 3312: + return 98; + case 3372: + return 99; + case 3432: + return 100; + case 3492: + return 101; + case 3612: + return 103; + case 3792: + return 105; + case 4212: + return 111; + case 4332: + return 113; + case 4572: + return 116; + case 4692: + return 117; + case 4992: + return 121; + case 5232: + return 124; + case 5472: + return 127; + case 5592: + return 128; + case 5772: + return 130; + case 6192: + return 135; + case 6312: + return 136; + case 6912: + return 143; + case 7512: + return 149; + case 15012: + return 210; + default: + return -1; + } +} + +inline static int64_t next_algebraic_order(int64_t order) { + + if (order <= 14) + return 14; + else if (order <= 19) + return 19; + else if (order <= 23) + return 23; + else if (order <= 29) + return 29; + else if (order <= 32) + return 32; + else if (order <= 35) + return 35; + else if (order <= 37) + return 37; + else if (order <= 39) + return 39; + else if (order <= 41) + return 41; + else if (order <= 44) + return 44; + else if (order <= 45) + return 45; + else if (order <= 47) + return 47; + else if (order <= 51) + return 51; + else if (order <= 53) + return 53; + else if (order <= 54) + return 54; + else if (order <= 56) + return 56; + else if (order <= 60) + return 60; + else if (order <= 62) + return 62; + else if (order <= 63) + return 63; + else if (order <= 66) + return 66; + else if (order <= 67) + return 67; + else if (order <= 69) + return 69; + else if (order <= 70) + return 70; + else if (order <= 72) + return 72; + else if (order <= 75) + return 75; + else if (order <= 76) + return 76; + else if (order <= 78) + return 78; + else if (order <= 79) + return 79; + else if (order <= 80) + return 80; + else if (order <= 81) + return 81; + else if (order <= 84) + return 84; + else if (order <= 85) + return 85; + else if (order <= 89) + return 89; + else if (order <= 90) + return 90; + else if (order <= 91) + return 91; + else if (order <= 94) + return 94; + else if (order <= 98) + return 98; + else if (order <= 99) + return 99; + else if (order <= 100) + return 100; + else if (order <= 101) + return 101; + else if (order <= 103) + return 103; + else if (order <= 105) + return 105; + else if (order <= 111) + return 111; + else if (order <= 113) + return 113; + else if (order <= 116) + return 116; + else if (order <= 117) + return 117; + else if (order <= 121) + return 121; + else if (order <= 124) + return 124; + else if (order <= 127) + return 127; + else if (order <= 128) + return 128; + else if (order <= 130) + return 130; + else if (order <= 135) + return 135; + else if (order <= 136) + return 136; + else if (order <= 143) + return 143; + else if (order <= 149) + return 149; + else + return 210; +} +} // namespace detail::ahrensbeylkin + +template +class AhrensBeylkin : public Quadrature> { + + using base_type = Quadrature>; + +public: + using point_type = typename base_type::point_type; + using weight_type = typename base_type::weight_type; + using point_container = typename base_type::point_container; + using weight_container = typename base_type::weight_container; + + AhrensBeylkin(size_t npts) : base_type(npts) {} + + AhrensBeylkin(const AhrensBeylkin &) = default; + AhrensBeylkin(AhrensBeylkin &&) noexcept = default; +}; + +template struct quadrature_traits> { + + using point_type = cartesian_pt_t; + using weight_type = RealType; + + using point_container = std::vector; + using weight_container = std::vector; + + inline static std::tuple + generate(size_t npts) { + + point_container points(npts); + weight_container weights(npts); + + using namespace AhrensBeylkinGrids; + + if (npts == 72) + detail::copy_grid>(points, weights); + else if (npts == 132) + detail::copy_grid>(points, weights); + else if (npts == 192) + detail::copy_grid>(points, weights); + else if (npts == 312) + detail::copy_grid>(points, weights); + else if (npts == 372) + detail::copy_grid>(points, weights); + else if (npts == 432) + detail::copy_grid>(points, weights); + else if (npts == 492) + detail::copy_grid>(points, weights); + else if (npts == 552) + detail::copy_grid>(points, weights); + else if (npts == 612) + detail::copy_grid>(points, weights); + else if (npts == 672) + detail::copy_grid>(points, weights); + else if (npts == 732) + detail::copy_grid>(points, weights); + else if (npts == 792) + detail::copy_grid>(points, weights); + else if (npts == 912) + detail::copy_grid>(points, weights); + else if (npts == 972) + detail::copy_grid>(points, weights); + else if (npts == 1032) + detail::copy_grid>(points, weights); + else if (npts == 1092) + detail::copy_grid>(points, weights); + else if (npts == 1272) + detail::copy_grid>(points, weights); + else if (npts == 1332) + detail::copy_grid>(points, weights); + else if (npts == 1392) + detail::copy_grid>(points, weights); + else if (npts == 1512) + detail::copy_grid>(points, weights); + else if (npts == 1572) + detail::copy_grid>(points, weights); + else if (npts == 1632) + detail::copy_grid>(points, weights); + else if (npts == 1692) + detail::copy_grid>(points, weights); + else if (npts == 1812) + detail::copy_grid>(points, weights); + else if (npts == 1932) + detail::copy_grid>(points, weights); + else if (npts == 1992) + detail::copy_grid>(points, weights); + else if (npts == 2112) + detail::copy_grid>(points, weights); + else if (npts == 2172) + detail::copy_grid>(points, weights); + else if (npts == 2232) + detail::copy_grid>(points, weights); + else if (npts == 2292) + detail::copy_grid>(points, weights); + else if (npts == 2412) + detail::copy_grid>(points, weights); + else if (npts == 2472) + detail::copy_grid>(points, weights); + else if (npts == 2712) + detail::copy_grid>(points, weights); + else if (npts == 2772) + detail::copy_grid>(points, weights); + else if (npts == 2832) + detail::copy_grid>(points, weights); + else if (npts == 3012) + detail::copy_grid>(points, weights); + else if (npts == 3312) + detail::copy_grid>(points, weights); + else if (npts == 3372) + detail::copy_grid>(points, weights); + else if (npts == 3432) + detail::copy_grid>(points, weights); + else if (npts == 3492) + detail::copy_grid>(points, weights); + else if (npts == 3612) + detail::copy_grid>(points, weights); + else if (npts == 3792) + detail::copy_grid>(points, weights); + else if (npts == 4212) + detail::copy_grid>(points, weights); + else if (npts == 4332) + detail::copy_grid>(points, weights); + else if (npts == 4572) + detail::copy_grid>(points, weights); + else if (npts == 4692) + detail::copy_grid>(points, weights); + else if (npts == 4992) + detail::copy_grid>(points, weights); + else if (npts == 5232) + detail::copy_grid>(points, weights); + else if (npts == 5472) + detail::copy_grid>(points, weights); + else if (npts == 5592) + detail::copy_grid>(points, weights); + else if (npts == 5772) + detail::copy_grid>(points, weights); + else if (npts == 6192) + detail::copy_grid>(points, weights); + else if (npts == 6312) + detail::copy_grid>(points, weights); + else if (npts == 6912) + detail::copy_grid>(points, weights); + else if (npts == 7512) + detail::copy_grid>(points, weights); + else if (npts == 15012) + detail::copy_grid>(points, weights); + + return std::make_tuple(points, weights); + } +}; +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1032.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1032.hpp new file mode 100644 index 0000000..08a0791 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1032.hpp @@ -0,0 +1,2083 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 54 grid with 1032 points + * + */ +template +struct ahrens_beylkin_1032 { + + static constexpr std::array,1032> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -6.654217960980321E-02, -0.9393840746002841, 0.3363475861666688, + -0.9393840746002841, -0.3363475861666688, 6.654217960980321E-02, + 0.5712412231712996, 0.6274629115897156, -0.5291254667175965, + -0.9487141380223268, -0.3119211630105685, -5.144581987574579E-02, + -6.654217960980321E-02, 0.9393840746002841, -0.3363475861666688, + 0.9393840746002841, -0.3363475861666688, -6.654217960980321E-02, + 0.5956676463273998, -0.6123665518556581, -0.5197954032955537, + -5.144581987574579E-02, -0.9487141380223268, -0.3119211630105685, + 0.3119211630105685, -5.144581987574579E-02, 0.9487141380223268, + -0.5197954032955537, -0.5956676463273998, 0.6123665518556581, + -0.6274629115897156, 0.5291254667175965, 0.5712412231712996, + 0.4195886713047303, -1.509635973405743E-02, 0.9075888093379683, + 0.5291254667175965, 0.5712412231712996, -0.6274629115897156, + 1.509635973405743E-02, 0.9075888093379683, -0.4195886713047303, + 0.6123665518556581, 0.5197954032955537, 0.5956676463273998, + -0.9075888093379683, -0.4195886713047303, -1.509635973405743E-02, + -0.9487141380223268, 0.3119211630105685, 5.144581987574579E-02, + -0.3363475861666688, 6.654217960980321E-02, -0.9393840746002841, + -0.3363475861666688, -6.654217960980321E-02, 0.9393840746002841, + 0.5712412231712996, -0.6274629115897156, 0.5291254667175965, + 0.3363475861666688, -6.654217960980321E-02, -0.9393840746002841, + -0.3119211630105685, -5.144581987574579E-02, -0.9487141380223268, + 0.5197954032955537, -0.5956676463273998, -0.6123665518556581, + -0.4195886713047303, -1.509635973405743E-02, -0.9075888093379683, + 5.144581987574579E-02, 0.9487141380223268, -0.3119211630105685, + -0.5291254667175965, -0.5712412231712996, -0.6274629115897156, + -0.5956676463273998, 0.6123665518556581, -0.5197954032955537, + -1.509635973405743E-02, -0.9075888093379683, -0.4195886713047303, + 0.6274629115897156, 0.5291254667175965, -0.5712412231712996, + 6.654217960980321E-02, 0.9393840746002841, 0.3363475861666688, + -0.9393840746002841, 0.3363475861666688, -6.654217960980321E-02, + -0.9075888093379683, 0.4195886713047303, 1.509635973405743E-02, + 0.6123665518556581, -0.5197954032955537, -0.5956676463273998, + 6.654217960980321E-02, -0.9393840746002841, -0.3363475861666688, + 0.9393840746002841, 0.3363475861666688, 6.654217960980321E-02, + 0.3363475861666688, 6.654217960980321E-02, 0.9393840746002841, + 0.5197954032955537, 0.5956676463273998, 0.6123665518556581, + 0.6274629115897156, -0.5291254667175965, 0.5712412231712996, + -0.4195886713047303, 1.509635973405743E-02, 0.9075888093379683, + -0.3119211630105685, 5.144581987574579E-02, 0.9487141380223268, + -5.144581987574579E-02, 0.9487141380223268, 0.3119211630105685, + 0.5956676463273998, 0.6123665518556581, 0.5197954032955537, + 0.9487141380223268, -0.3119211630105685, 5.144581987574579E-02, + -0.6123665518556581, -0.5197954032955537, 0.5956676463273998, + 0.9075888093379683, 0.4195886713047303, -1.509635973405743E-02, + -0.5712412231712996, 0.6274629115897156, 0.5291254667175965, + 0.4195886713047303, 1.509635973405743E-02, -0.9075888093379683, + -0.6274629115897156, -0.5291254667175965, -0.5712412231712996, + -1.509635973405743E-02, 0.9075888093379683, 0.4195886713047303, + 5.144581987574579E-02, -0.9487141380223268, 0.3119211630105685, + -0.6123665518556581, 0.5197954032955537, -0.5956676463273998, + 0.9487141380223268, 0.3119211630105685, -5.144581987574579E-02, + -0.5197954032955537, 0.5956676463273998, -0.6123665518556581, + 0.3119211630105685, 5.144581987574579E-02, -0.9487141380223268, + -0.5291254667175965, 0.5712412231712996, 0.6274629115897156, + -0.5956676463273998, -0.6123665518556581, 0.5197954032955537, + -0.5712412231712996, -0.6274629115897156, -0.5291254667175965, + 0.9075888093379683, -0.4195886713047303, 1.509635973405743E-02, + 1.509635973405743E-02, -0.9075888093379683, 0.4195886713047303, + 0.5291254667175965, -0.5712412231712996, 0.6274629115897156, + -0.3282616811066855, -0.9282379610869792, 0.1749815885003349, + -0.9282379610869792, -0.1749815885003349, 0.3282616811066855, + 0.5620310530290944, 0.7837605437102151, -0.2642735430459798, + -0.9398895176575401, -0.1444774173767641, -0.3094090665536757, + -0.3282616811066855, 0.9282379610869792, -0.1749815885003349, + 0.9282379610869792, -0.1749815885003349, -0.3282616811066855, + 0.5925352241526652, -0.7649079291572053, -0.2526219864754188, + -0.3094090665536757, -0.9398895176575401, -0.1444774173767641, + 0.1444774173767641, -0.3094090665536757, 0.9398895176575401, + -0.2526219864754188, 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+ +/** + * \brief Ahrens-Beylkin Quadrature specification for order 56 grid with 1092 points + * + */ +template +struct ahrens_beylkin_1092 { + + static constexpr std::array,1092> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + 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+namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 60 grid with 1272 points + * + */ +template +struct ahrens_beylkin_1272 { + + static constexpr std::array,1272> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.4651886374777493, -0.8830776318691348, 6.142823173424394E-02, + -0.8830776318691348, -6.142823173424394E-02, 0.4651886374777493, + 0.5399595010966406, 0.8368666967844770, -8.998816026847746E-02, + -0.8888901219723868, -4.621093508465781E-02, -0.4557838309314152, + -0.4651886374777493, 0.8830776318691348, -6.142823173424394E-02, + 0.8830776318691348, -6.142823173424394E-02, -0.4651886374777493, + 0.5551767977462267, -0.8274618902381429, -8.417567016522547E-02, + -0.4557838309314152, -0.8888901219723868, -4.621093508465781E-02, + 4.621093508465781E-02, -0.4557838309314152, 0.8888901219723868, + -8.417567016522547E-02, -0.5551767977462267, 0.8274618902381429, + -0.8368666967844770, 8.998816026847746E-02, 0.5399595010966406, + 0.7989019617039094, -9.404806546334125E-03, 0.6013877328308845, + 8.998816026847746E-02, 0.5399595010966406, -0.8368666967844770, + 9.404806546334125E-03, 0.6013877328308845, -0.7989019617039094, + 0.8274618902381429, 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9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03, + 9.725344041237403E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_132.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_132.hpp new file mode 100644 index 0000000..f2a0293 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_132.hpp @@ -0,0 +1,283 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 19 grid with 132 points + * + */ +template +struct ahrens_beylkin_132 { + + static constexpr std::array,132> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.3660952090335582, -0.8953505266009154, 0.2536172952267627, + -0.8953505266009154, -0.2536172952267627, 0.3660952090335582, + 0.4844155031786994, 0.8222245632603329, -0.2988116260313214, + -0.9642920807066986, -7.312596334058243E-02, -0.2545454312531611, + -0.3660952090335582, 0.8953505266009154, -0.2536172952267627, + 0.8953505266009154, -0.2536172952267627, -0.3660952090335582, + 0.6649068350648796, -0.7106747854799359, -0.2298700719255382, + -0.2545454312531611, -0.9642920807066986, -7.312596334058243E-02, + 7.312596334058243E-02, -0.2545454312531611, 0.9642920807066986, + -0.2298700719255382, -0.6649068350648796, 0.7106747854799359, + -0.8222245632603329, 0.2988116260313214, 0.4844155031786994, + 0.6654804546753771, -0.1115497777803971, 0.7380327984054620, + 0.2988116260313214, 0.4844155031786994, -0.8222245632603329, + 0.1115497777803971, 0.7380327984054620, -0.6654804546753771, + 0.7106747854799359, 0.2298700719255382, 0.6649068350648796, + -0.7380327984054620, -0.6654804546753771, -0.1115497777803971, + -0.9642920807066986, 7.312596334058243E-02, 0.2545454312531611, + -0.2536172952267627, 0.3660952090335582, -0.8953505266009154, + -0.2536172952267627, -0.3660952090335582, 0.8953505266009154, + 0.4844155031786994, -0.8222245632603329, 0.2988116260313214, + 0.2536172952267627, -0.3660952090335582, -0.8953505266009154, + -7.312596334058243E-02, -0.2545454312531611, -0.9642920807066986, + 0.2298700719255382, -0.6649068350648796, -0.7106747854799359, + -0.6654804546753771, -0.1115497777803971, -0.7380327984054620, + 0.2545454312531611, 0.9642920807066986, -7.312596334058243E-02, + -0.2988116260313214, -0.4844155031786994, -0.8222245632603329, + -0.6649068350648796, 0.7106747854799359, -0.2298700719255382, + -0.1115497777803971, -0.7380327984054620, -0.6654804546753771, + 0.8222245632603329, 0.2988116260313214, -0.4844155031786994, + 0.3660952090335582, 0.8953505266009154, 0.2536172952267627, + -0.8953505266009154, 0.2536172952267627, -0.3660952090335582, + -0.7380327984054620, 0.6654804546753771, 0.1115497777803971, + 0.7106747854799359, -0.2298700719255382, -0.6649068350648796, + 0.3660952090335582, -0.8953505266009154, -0.2536172952267627, + 0.8953505266009154, 0.2536172952267627, 0.3660952090335582, + 0.2536172952267627, 0.3660952090335582, 0.8953505266009154, + 0.2298700719255382, 0.6649068350648796, 0.7106747854799359, + 0.8222245632603329, -0.2988116260313214, 0.4844155031786994, + -0.6654804546753771, 0.1115497777803971, 0.7380327984054620, + -7.312596334058243E-02, 0.2545454312531611, 0.9642920807066986, + -0.2545454312531611, 0.9642920807066986, 7.312596334058243E-02, + 0.6649068350648796, 0.7106747854799359, 0.2298700719255382, + 0.9642920807066986, -7.312596334058243E-02, 0.2545454312531611, + -0.7106747854799359, -0.2298700719255382, 0.6649068350648796, + 0.7380327984054620, 0.6654804546753771, -0.1115497777803971, + -0.4844155031786994, 0.8222245632603329, 0.2988116260313214, + 0.6654804546753771, 0.1115497777803971, -0.7380327984054620, + -0.8222245632603329, -0.2988116260313214, -0.4844155031786994, + -0.1115497777803971, 0.7380327984054620, 0.6654804546753771, + 0.2545454312531611, -0.9642920807066986, 7.312596334058243E-02, + -0.7106747854799359, 0.2298700719255382, -0.6649068350648796, + 0.9642920807066986, 7.312596334058243E-02, -0.2545454312531611, + -0.2298700719255382, 0.6649068350648796, -0.7106747854799359, + 7.312596334058243E-02, 0.2545454312531611, -0.9642920807066986, + -0.2988116260313214, 0.4844155031786994, 0.8222245632603329, + -0.6649068350648796, -0.7106747854799359, 0.2298700719255382, + -0.4844155031786994, -0.8222245632603329, -0.2988116260313214, + 0.7380327984054620, -0.6654804546753771, 0.1115497777803971, + 0.1115497777803971, -0.7380327984054620, 0.6654804546753771, + 0.2988116260313214, -0.4844155031786994, 0.8222245632603329, + -0.1366088178342604, -0.8661404641281296, 0.4807688917659233, + -0.8661404641281296, -0.4807688917659233, 0.1366088178342604, + 0.4181234628202419, 0.6921548451959328, -0.5882979178197081, + -0.9833212471706809, -0.1739856189321967, 5.299367195691492E-02, + -0.1366088178342604, 0.8661404641281296, -0.4807688917659233, + 0.8661404641281296, -0.4807688917659233, -0.1366088178342604, + 0.7249067356539685, -0.5025523554047576, -0.4711171347771568, + 5.299367195691492E-02, -0.9833212471706809, -0.1739856189321967, + 0.1739856189321967, 5.299367195691492E-02, 0.9833212471706809, + -0.4711171347771568, -0.7249067356539685, 0.5025523554047576, + -0.6921548451959328, 0.5882979178197081, 0.4181234628202419, + 0.3950233293509728, -0.1896024897911753, 0.8988923545861652, + 0.5882979178197081, 0.4181234628202419, -0.6921548451959328, + 0.1896024897911753, 0.8988923545861652, -0.3950233293509728, + 0.5025523554047576, 0.4711171347771568, 0.7249067356539685, + -0.8988923545861652, -0.3950233293509728, -0.1896024897911753, + -0.9833212471706809, 0.1739856189321967, -5.299367195691492E-02, + -0.4807688917659233, 0.1366088178342604, -0.8661404641281296, + -0.4807688917659233, -0.1366088178342604, 0.8661404641281296, + 0.4181234628202419, -0.6921548451959328, 0.5882979178197081, + 0.4807688917659233, -0.1366088178342604, -0.8661404641281296, + -0.1739856189321967, 5.299367195691492E-02, -0.9833212471706809, + 0.4711171347771568, -0.7249067356539685, -0.5025523554047576, + -0.3950233293509728, -0.1896024897911753, -0.8988923545861652, + -5.299367195691492E-02, 0.9833212471706809, -0.1739856189321967, + -0.5882979178197081, -0.4181234628202419, -0.6921548451959328, + -0.7249067356539685, 0.5025523554047576, -0.4711171347771568, + -0.1896024897911753, -0.8988923545861652, -0.3950233293509728, + 0.6921548451959328, 0.5882979178197081, -0.4181234628202419, + 0.1366088178342604, 0.8661404641281296, 0.4807688917659233, + -0.8661404641281296, 0.4807688917659233, -0.1366088178342604, + -0.8988923545861652, 0.3950233293509728, 0.1896024897911753, + 0.5025523554047576, -0.4711171347771568, -0.7249067356539685, + 0.1366088178342604, -0.8661404641281296, -0.4807688917659233, + 0.8661404641281296, 0.4807688917659233, 0.1366088178342604, + 0.4807688917659233, 0.1366088178342604, 0.8661404641281296, + 0.4711171347771568, 0.7249067356539685, 0.5025523554047576, + 0.6921548451959328, -0.5882979178197081, 0.4181234628202419, + -0.3950233293509728, 0.1896024897911753, 0.8988923545861652, + -0.1739856189321967, -5.299367195691492E-02, 0.9833212471706809, + 5.299367195691492E-02, 0.9833212471706809, 0.1739856189321967, + 0.7249067356539685, 0.5025523554047576, 0.4711171347771568, + 0.9833212471706809, -0.1739856189321967, -5.299367195691492E-02, + -0.5025523554047576, -0.4711171347771568, 0.7249067356539685, + 0.8988923545861652, 0.3950233293509728, -0.1896024897911753, + -0.4181234628202419, 0.6921548451959328, 0.5882979178197081, + 0.3950233293509728, 0.1896024897911753, -0.8988923545861652, + -0.6921548451959328, -0.5882979178197081, -0.4181234628202419, + -0.1896024897911753, 0.8988923545861652, 0.3950233293509728, + -5.299367195691492E-02, -0.9833212471706809, 0.1739856189321967, + -0.5025523554047576, 0.4711171347771568, -0.7249067356539685, + 0.9833212471706809, 0.1739856189321967, 5.299367195691492E-02, + -0.4711171347771568, 0.7249067356539685, -0.5025523554047576, + 0.1739856189321967, -5.299367195691492E-02, -0.9833212471706809, + -0.5882979178197081, 0.4181234628202419, 0.6921548451959328, + -0.7249067356539685, -0.5025523554047576, 0.4711171347771568, + -0.4181234628202419, -0.6921548451959328, -0.5882979178197081, + 0.8988923545861652, -0.3950233293509728, 0.1896024897911753, + 0.1896024897911753, -0.8988923545861652, 0.3950233293509728, + 0.5882979178197081, -0.4181234628202419, 0.6921548451959328 +}; + + +static constexpr std::array weights = { 7.991434304003341E-02, + 7.991434304003341E-02, + 7.991434304003341E-02, + 7.991434304003341E-02, + 7.991434304003341E-02, + 7.991434304003341E-02, + 7.991434304003341E-02, + 7.991434304003341E-02, + 7.991434304003341E-02, + 7.991434304003341E-02, + 7.991434304003341E-02, + 7.991434304003341E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.475712406435775E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 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9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02, + 9.869951756695511E-02 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1332.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1332.hpp new file mode 100644 index 0000000..887e1af --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1332.hpp @@ -0,0 +1,2683 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 62 grid with 1332 points + * + */ +template +struct ahrens_beylkin_1332 { + + static constexpr std::array,1332> points = { + 0.000000000000000E+00, 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+}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1392.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1392.hpp new file mode 100644 index 0000000..c442918 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1392.hpp @@ -0,0 +1,2803 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 63 grid with 1392 points + * + */ +template +struct ahrens_beylkin_1392 { + + static constexpr std::array,1392> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 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8.378234517131541E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_15012.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_15012.hpp new file mode 100644 index 0000000..1c513cf --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_15012.hpp @@ -0,0 +1,30043 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 210 grid with 15012 points + * + */ +template +struct ahrens_beylkin_15012 { + + static constexpr std::array,15012> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + 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0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -9.796759856511335E-02, -0.9486701418327725, 0.3007113426965669, + -0.9486701418327725, -0.3007113426965669, 9.796759856511335E-02, + 0.5868609425957985, 0.6465174383482135, -0.4874519832426931, + -0.9481195910018109, -0.3021527034845589, -9.885840852214377E-02, + -9.796759856511335E-02, 0.9486701418327725, -0.3007113426965669, + 0.9486701418327725, -0.3007113426965669, -9.796759856511335E-02, + 0.5854195818078064, 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0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.1065304900470049, -0.9393556773304952, 0.3259787817593526, + -0.9393556773304952, -0.3259787817593526, 0.1065304900470049, + 0.5640455839996682, 0.6565957989016478, -0.5007339972831685, + -0.9558638294462521, -0.2827598784288474, 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+}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1692.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1692.hpp new file mode 100644 index 0000000..4682bd8 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1692.hpp @@ -0,0 +1,3403 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 70 grid with 1692 points + * + */ +template +struct ahrens_beylkin_1692 { + + static constexpr std::array,1692> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 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b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1812.hpp new file mode 100644 index 0000000..8132b6c --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_1812.hpp @@ -0,0 +1,3643 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 72 grid with 1812 points + * + */ +template +struct ahrens_beylkin_1812 { + + static constexpr std::array,1812> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 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IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 23 grid with 192 points + * + */ +template +struct ahrens_beylkin_192 { + + static constexpr std::array,192> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.3607928957864933, -0.9167356200572206, 0.1715350963164676, + -0.9167356200572206, -0.1715350963164676, 0.3607928957864933, + 0.5443960115691369, 0.8032626540631647, -0.2416652461050551, + -0.9389133803811560, -0.1134729659940559, -0.3249085257880170, + -0.3607928957864933, 0.9167356200572206, -0.1715350963164676, + 0.9167356200572206, -0.1715350963164676, -0.3607928957864933, + 0.6024581418915484, -0.7673782840646884, -0.2194874857811198, + -0.3249085257880170, -0.9389133803811560, -0.1134729659940559, + 0.1134729659940559, -0.3249085257880170, 0.9389133803811560, + -0.2194874857811198, -0.6024581418915484, 0.7673782840646884, + -0.8032626540631647, 0.2416652461050551, 0.5443960115691369, + 0.6972481342761009, -3.588436999847628E-02, 0.7159311078856044, + 0.2416652461050551, 0.5443960115691369, -0.8032626540631647, + 3.588436999847628E-02, 0.7159311078856044, -0.6972481342761009, + 0.7673782840646884, 0.2194874857811198, 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0.1946109977507884, -0.7934327755832595, -0.5767070228328136, + 0.7934327755832595, 0.5767070228328136, 0.1946109977507884, + 0.5767070228328136, 0.1946109977507884, 0.7934327755832595, + 0.4174850541496975, 0.8090554926718323, 0.4136851935217923, + 0.7323722630950026, -0.6144444949210439, 0.2934089823272757, + -0.3759477214335620, 0.3186870695732102, 0.8701160051600894, + -6.106051248825702E-02, -0.1240760718224218, 0.9903922163546059, + 0.1240760718224218, 0.9903922163546059, 6.106051248825702E-02, + 0.8090554926718323, 0.4136851935217923, 0.4174850541496975, + 0.9903922163546059, -6.106051248825702E-02, -0.1240760718224218, + -0.4136851935217923, -0.4174850541496975, 0.8090554926718323, + 0.8701160051600894, 0.3759477214335620, -0.3186870695732102, + -0.2934089823272757, 0.7323722630950026, 0.6144444949210439, + 0.3759477214335620, 0.3186870695732102, -0.8701160051600894, + -0.7323722630950026, -0.6144444949210439, -0.2934089823272757, + -0.3186870695732102, 0.8701160051600894, 0.3759477214335620, + -0.1240760718224218, -0.9903922163546059, 6.106051248825702E-02, + -0.4136851935217923, 0.4174850541496975, -0.8090554926718323, + 0.9903922163546059, 6.106051248825702E-02, 0.1240760718224218, + -0.4174850541496975, 0.8090554926718323, -0.4136851935217923, + 6.106051248825702E-02, -0.1240760718224218, -0.9903922163546059, + -0.6144444949210439, 0.2934089823272757, 0.7323722630950026, + -0.8090554926718323, -0.4136851935217923, 0.4174850541496975, + -0.2934089823272757, -0.7323722630950026, -0.6144444949210439, + 0.8701160051600894, -0.3759477214335620, 0.3186870695732102, + 0.3186870695732102, -0.8701160051600894, 0.3759477214335620, + 0.6144444949210439, -0.2934089823272757, 0.7323722630950026 +}; + + +static constexpr std::array weights = { 5.233742762454396E-02, + 5.233742762454396E-02, + 5.233742762454396E-02, + 5.233742762454396E-02, + 5.233742762454396E-02, + 5.233742762454396E-02, + 5.233742762454396E-02, + 5.233742762454396E-02, + 5.233742762454396E-02, + 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+ +/** + * \brief Ahrens-Beylkin Quadrature specification for order 75 grid with 1932 points + * + */ +template +struct ahrens_beylkin_1932 { + + static constexpr std::array,1932> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.4714586095242229, -0.8810634779455345, 3.813039910628982E-02, + -0.8810634779455345, -3.813039910628982E-02, 0.4714586095242229, + 0.5480414047405219, 0.8337327075483889, -6.738242392544322E-02, + -0.8775492488215464, -4.733077039714569E-02, -0.4771447516910905, + -0.4714586095242229, 0.8810634779455345, -3.813039910628982E-02, + 0.8810634779455345, -3.813039910628982E-02, -0.4714586095242229, + 0.5388410334496661, -0.8394188497152565, -7.089665304943141E-02, + -0.4771447516910905, -0.8775492488215464, -4.733077039714569E-02, + 4.733077039714569E-02, -0.4771447516910905, 0.8775492488215464, + -7.089665304943141E-02, -0.5388410334496661, 0.8394188497152565, + -0.8337327075483889, 6.738242392544322E-02, 0.5480414047405219, + 0.8101668248961031, 5.686142166867669E-03, 0.5861718038468118, + 6.738242392544322E-02, 0.5480414047405219, -0.8337327075483889, + -5.686142166867669E-03, 0.5861718038468118, -0.8101668248961031, + 0.8394188497152565, 7.089665304943141E-02, 0.5388410334496661, + -0.5861718038468118, -0.8101668248961031, 5.686142166867669E-03, + -0.8775492488215464, 4.733077039714569E-02, 0.4771447516910905, + -3.813039910628982E-02, 0.4714586095242229, -0.8810634779455345, + -3.813039910628982E-02, -0.4714586095242229, 0.8810634779455345, + 0.5480414047405219, -0.8337327075483889, 6.738242392544322E-02, + 3.813039910628982E-02, -0.4714586095242229, -0.8810634779455345, + -4.733077039714569E-02, -0.4771447516910905, -0.8775492488215464, + 7.089665304943141E-02, -0.5388410334496661, -0.8394188497152565, + -0.8101668248961031, 5.686142166867669E-03, -0.5861718038468118, + 0.4771447516910905, 0.8775492488215464, -4.733077039714569E-02, + -6.738242392544322E-02, -0.5480414047405219, -0.8337327075483889, + -0.5388410334496661, 0.8394188497152565, -7.089665304943141E-02, + 5.686142166867669E-03, -0.5861718038468118, -0.8101668248961031, + 0.8337327075483889, 6.738242392544322E-02, -0.5480414047405219, + 0.4714586095242229, 0.8810634779455345, 3.813039910628982E-02, + -0.8810634779455345, 3.813039910628982E-02, -0.4714586095242229, + -0.5861718038468118, 0.8101668248961031, -5.686142166867669E-03, + 0.8394188497152565, -7.089665304943141E-02, -0.5388410334496661, + 0.4714586095242229, -0.8810634779455345, -3.813039910628982E-02, + 0.8810634779455345, 3.813039910628982E-02, 0.4714586095242229, + 3.813039910628982E-02, 0.4714586095242229, 0.8810634779455345, + 7.089665304943141E-02, 0.5388410334496661, 0.8394188497152565, + 0.8337327075483889, -6.738242392544322E-02, 0.5480414047405219, + -0.8101668248961031, -5.686142166867669E-03, 0.5861718038468118, + -4.733077039714569E-02, 0.4771447516910905, 0.8775492488215464, + -0.4771447516910905, 0.8775492488215464, 4.733077039714569E-02, + 0.5388410334496661, 0.8394188497152565, 7.089665304943141E-02, + 0.8775492488215464, -4.733077039714569E-02, 0.4771447516910905, + -0.8394188497152565, -7.089665304943141E-02, 0.5388410334496661, + 0.5861718038468118, 0.8101668248961031, 5.686142166867669E-03, + -0.5480414047405219, 0.8337327075483889, 6.738242392544322E-02, + 0.8101668248961031, -5.686142166867669E-03, -0.5861718038468118, + -0.8337327075483889, -6.738242392544322E-02, -0.5480414047405219, + 5.686142166867669E-03, 0.5861718038468118, 0.8101668248961031, + 0.4771447516910905, -0.8775492488215464, 4.733077039714569E-02, + -0.8394188497152565, 7.089665304943141E-02, -0.5388410334496661, + 0.8775492488215464, 4.733077039714569E-02, -0.4771447516910905, + -7.089665304943141E-02, 0.5388410334496661, -0.8394188497152565, + 4.733077039714569E-02, 0.4771447516910905, -0.8775492488215464, + -6.738242392544322E-02, 0.5480414047405219, 0.8337327075483889, + -0.5388410334496661, -0.8394188497152565, 7.089665304943141E-02, + -0.5480414047405219, -0.8337327075483889, -6.738242392544322E-02, + 0.5861718038468118, -0.8101668248961031, -5.686142166867669E-03, + -5.686142166867669E-03, -0.5861718038468118, 0.8101668248961031, + 6.738242392544322E-02, -0.5480414047405219, 0.8337327075483889, + -0.4136725635547856, -0.9065478877602091, 8.394008196037933E-02, + -0.9065478877602091, -8.394008196037933E-02, 0.4136725635547856, + 0.5636107541874527, 0.8138809897375597, -0.1412113745703970, + -0.9032145406379904, -9.266689802264934E-02, -0.4190660324948370, + -0.4136725635547856, 0.9065478877602091, -8.394008196037933E-02, + 0.9065478877602091, -8.394008196037933E-02, -0.4136725635547856, + 0.5548839381251827, -0.8192744586776112, -0.1445447216926157, + -0.4190660324948370, -0.9032145406379904, -9.266689802264934E-02, + 9.266689802264934E-02, -0.4190660324948370, 0.9032145406379904, + -0.1445447216926157, -0.5548839381251827, 0.8192744586776112, + -0.8138809897375597, 0.1412113745703970, 0.5636107541874527, + 0.7620031660675934, 5.393468940051382E-03, 0.6475508361478319, + 0.1412113745703970, 0.5636107541874527, -0.8138809897375597, + -5.393468940051382E-03, 0.6475508361478319, -0.7620031660675934, + 0.8192744586776112, 0.1445447216926157, 0.5548839381251827, + 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5.707141595836170E-03, + 5.707141595836170E-03, + 5.707141595836170E-03, + 5.707141595836170E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2172.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2172.hpp new file mode 100644 index 0000000..b9296bf --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2172.hpp @@ -0,0 +1,4363 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 79 grid with 2172 points + * + */ +template +struct ahrens_beylkin_2172 { + + static constexpr std::array,2172> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -4.605122861604410E-02, -0.9386081792440383, 0.3418976019207275, + -0.9386081792440383, -0.3418976019207275, 4.605122861604410E-02, + 0.5741705548531865, 0.6122124855137902, -0.5436212344276218, + -0.9445293812823210, -0.3263956937302481, -3.647052246384745E-02, + -4.605122861604410E-02, 0.9386081792440383, -0.3418976019207275, + 0.9386081792440383, -0.3418976019207275, -4.605122861604410E-02, + 0.5896724630436658, -0.6026317793615935, -0.5377000323893391, + -3.647052246384745E-02, -0.9445293812823210, -0.3263956937302481, + 0.3263956937302481, -3.647052246384745E-02, 0.9445293812823210, + -0.5377000323893391, -0.5896724630436658, 0.6026317793615935, + -0.6122124855137902, 0.5436212344276218, 0.5741705548531865, + 0.4009081468546992, -9.580706152196647E-03, 0.9160681567739140, + 0.5436212344276218, 0.5741705548531865, -0.6122124855137902, + 9.580706152196647E-03, 0.9160681567739140, -0.4009081468546992, + 0.6026317793615935, 0.5377000323893391, 0.5896724630436658, + -0.9160681567739140, -0.4009081468546992, -9.580706152196647E-03, + -0.9445293812823210, 0.3263956937302481, 3.647052246384745E-02, + -0.3418976019207275, 4.605122861604410E-02, -0.9386081792440383, + -0.3418976019207275, -4.605122861604410E-02, 0.9386081792440383, + 0.5741705548531865, -0.6122124855137902, 0.5436212344276218, + 0.3418976019207275, -4.605122861604410E-02, -0.9386081792440383, + -0.3263956937302481, -3.647052246384745E-02, -0.9445293812823210, + 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a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2292.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2292.hpp new file mode 100644 index 0000000..e3719c4 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2292.hpp @@ -0,0 +1,4603 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 81 grid with 2292 points + * + */ +template +struct ahrens_beylkin_2292 { + + static constexpr std::array,2292> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -4.578301127407436E-02, -0.9362707993607288, 0.3482827962203991, + -0.9362707993607288, -0.3482827962203991, 4.578301127407436E-02, + 0.5691698613722979, 0.6127999367352803, -0.5481987836931742, + -0.9457481146673945, -0.3234708626254484, -3.044839298578946E-02, + -4.578301127407436E-02, 0.9362707993607288, -0.3482827962203991, + 0.9362707993607288, -0.3482827962203991, -4.578301127407436E-02, + 0.5939817949672486, -0.5974653184469955, -0.5387214683865084, + -3.044839298578946E-02, -0.9457481146673945, -0.3234708626254484, + 0.3234708626254484, -3.044839298578946E-02, 0.9457481146673945, + -0.5387214683865084, 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b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2412.hpp new file mode 100644 index 0000000..3d0f14f --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2412.hpp @@ -0,0 +1,4843 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 84 grid with 2412 points + * + */ +template +struct ahrens_beylkin_2412 { + + static constexpr std::array,2412> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -8.443675829322399E-02, -0.9431714695611462, 0.3214000822258757, + -0.9431714695611462, -0.3214000822258757, 8.443675829322399E-02, + 0.5762493131090868, 0.6392145945910221, -0.5092557620716145, + -0.9498341818600345, -0.3039568749701240, -7.365626333636063E-02, + -8.443675829322399E-02, 0.9431714695611462, -0.3214000822258757, + 0.9431714695611462, -0.3214000822258757, -8.443675829322399E-02, + 0.5936925203648385, -0.6284340996341587, -0.5025930497727261, + -7.365626333636063E-02, -0.9498341818600345, -0.3039568749701240, + 0.3039568749701240, -7.365626333636063E-02, 0.9498341818600345, + -0.5025930497727261, -0.5936925203648385, 0.6284340996341587, + -0.6392145945910221, 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b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2472.hpp @@ -0,0 +1,4963 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 85 grid with 2472 points + * + */ +template +struct ahrens_beylkin_2472 { + + static constexpr std::array,2472> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, 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/dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2712.hpp @@ -0,0 +1,5443 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 89 grid with 2712 points + * + */ +template +struct ahrens_beylkin_2712 { + + static constexpr std::array,2712> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.4955750323576112, -0.8671001002679726, 5.042621757602397E-02, + -0.8671001002679726, -5.042621757602397E-02, 0.4955750323576112, + 0.5231445011665824, 0.8500612314922483, -6.095681760927085E-02, + -0.8798529327154391, -1.703886877572421E-02, -0.4749405160047780, + -0.4955750323576112, 0.8671001002679726, -5.042621757602397E-02, + 0.8671001002679726, -5.042621757602397E-02, -0.4955750323576112, + 0.5565318499668821, -0.8294267151394150, -4.820398516180436E-02, + -0.4749405160047780, -0.8798529327154391, -1.703886877572421E-02, + 1.703886877572421E-02, -0.4749405160047780, 0.8798529327154391, + -4.820398516180436E-02, -0.5565318499668821, 0.8294267151394150, + -0.8500612314922483, 6.095681760927085E-02, 0.5231445011665824, + 0.8188961151061682, -2.063451635283328E-02, 0.5735707187426063, + 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+namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 90 grid with 2772 points + * + */ +template +struct ahrens_beylkin_2772 { + + static constexpr std::array,2772> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 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b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2832.hpp new file mode 100644 index 0000000..7303daa --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_2832.hpp @@ -0,0 +1,5683 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 91 grid with 2832 points + * + */ +template +struct ahrens_beylkin_2832 { + + static constexpr std::array,2832> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + 3.783920850287278E-02, -0.9369765373513809, 0.3473372464232600, + -0.9369765373513809, -0.3473372464232600, -3.783920850287278E-02, + 0.5960542773173145, 0.5452088178673556, -0.5894630127594220, + -0.9200056067784051, -0.3917677194840253, 1.037966601508327E-02, + 3.783920850287278E-02, 0.9369765373513809, -0.3473372464232600, + 0.9369765373513809, -0.3473372464232600, 3.783920850287278E-02, + 0.5516238042565492, -0.5726683603551451, -0.6064339433323978, + 1.037966601508327E-02, -0.9200056067784051, -0.3917677194840253, + 0.3917677194840253, 1.037966601508327E-02, 0.9200056067784051, + -0.6064339433323978, -0.5516238042565492, 0.5726683603551451, + -0.5452088178673556, 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ahrens_beylkin_3012 { + + static constexpr std::array,3012> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -7.846651682090740E-02, -0.9393180530440212, 0.3339529921464753, + -0.9393180530440212, -0.3339529921464753, 7.846651682090740E-02, + 0.5687002847754957, 0.6363369220151566, -0.5212056290721990, + -0.9511482512961071, -0.3029811310288646, -5.932485395538269E-02, + -7.846651682090740E-02, 0.9393180530440212, -0.3339529921464753, + 0.9393180530440212, -0.3339529921464753, -7.846651682090740E-02, + 0.5996721458931064, -0.6171952591496318, -0.5093754308201130, + -5.932485395538269E-02, -0.9511482512961071, -0.3029811310288646, + 0.3029811310288646, -5.932485395538269E-02, 0.9511482512961071, + -0.5093754308201130, -0.5996721458931064, 0.6171952591496318, + -0.6363369220151566, 0.5212056290721990, 0.5687002847754957, + 0.4299426222239081, -1.914166286552471E-02, 0.9026532769219709, + 0.5212056290721990, 0.5687002847754957, -0.6363369220151566, + 1.914166286552471E-02, 0.9026532769219709, -0.4299426222239081, + 0.6171952591496318, 0.5093754308201130, 0.5996721458931064, + -0.9026532769219709, -0.4299426222239081, -1.914166286552471E-02, + -0.9511482512961071, 0.3029811310288646, 5.932485395538269E-02, + 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Ahrens-Beylkin Quadrature specification for order 29 grid with 312 points + * + */ +template +struct ahrens_beylkin_312 { + + static constexpr std::array,312> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.1201736413467416, 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4.092806020985292E-02, + 4.092806020985292E-02, + 4.092806020985292E-02, + 4.092806020985292E-02, + 4.092806020985292E-02, + 4.092806020985292E-02, + 4.092806020985292E-02, + 4.092806020985292E-02, + 4.092806020985292E-02, + 4.092806020985292E-02, + 4.092806020985292E-02, + 4.092806020985292E-02, + 4.092806020985292E-02 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_3312.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_3312.hpp new file mode 100644 index 0000000..16db50c --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_3312.hpp @@ -0,0 +1,6643 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 98 grid with 3312 points + * + */ +template +struct ahrens_beylkin_3312 { + + static constexpr std::array,3312> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.4956227056876106, -0.8674856692746196, 4.274046338140782E-02, + -0.8674856692746196, -4.274046338140782E-02, 0.4956227056876106, + 0.5272845782736238, 0.8479175558689949, -5.483422256179634E-02, + -0.8763367193661609, -1.956811340562469E-02, -0.4813014058033689, + -0.4956227056876106, 0.8674856692746196, -4.274046338140782E-02, + 0.8674856692746196, -4.274046338140782E-02, -0.4956227056876106, + 0.5504569282494070, -0.8335962559847531, -4.598317247025499E-02, + -0.4813014058033689, -0.8763367193661609, -1.956811340562469E-02, + 1.956811340562469E-02, -0.4813014058033689, 0.8763367193661609, + -4.598317247025499E-02, -0.5504569282494070, 0.8335962559847531, + -0.8479175558689949, 5.483422256179634E-02, 0.5272845782736238, + 0.8215024968043646, -1.432129988424178E-02, 0.5700250416550316, + 5.483422256179634E-02, 0.5272845782736238, -0.8479175558689949, + 1.432129988424178E-02, 0.5700250416550316, -0.8215024968043646, + 0.8335962559847531, 4.598317247025499E-02, 0.5504569282494070, + -0.5700250416550316, -0.8215024968043646, -1.432129988424178E-02, + -0.8763367193661609, 1.956811340562469E-02, 0.4813014058033689, + -4.274046338140782E-02, 0.4956227056876106, -0.8674856692746196, + -4.274046338140782E-02, -0.4956227056876106, 0.8674856692746196, + 0.5272845782736238, -0.8479175558689949, 5.483422256179634E-02, + 4.274046338140782E-02, -0.4956227056876106, -0.8674856692746196, + -1.956811340562469E-02, -0.4813014058033689, -0.8763367193661609, + 4.598317247025499E-02, -0.5504569282494070, -0.8335962559847531, + -0.8215024968043646, -1.432129988424178E-02, -0.5700250416550316, + 0.4813014058033689, 0.8763367193661609, -1.956811340562469E-02, + -5.483422256179634E-02, -0.5272845782736238, -0.8479175558689949, + -0.5504569282494070, 0.8335962559847531, -4.598317247025499E-02, + -1.432129988424178E-02, -0.5700250416550316, -0.8215024968043646, + 0.8479175558689949, 5.483422256179634E-02, -0.5272845782736238, + 0.4956227056876106, 0.8674856692746196, 4.274046338140782E-02, + -0.8674856692746196, 4.274046338140782E-02, -0.4956227056876106, + -0.5700250416550316, 0.8215024968043646, 1.432129988424178E-02, + 0.8335962559847531, -4.598317247025499E-02, -0.5504569282494070, + 0.4956227056876106, -0.8674856692746196, 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-0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.2251949367610466, -0.9479926149164764, 0.2249383082558629, + -0.9479926149164764, -0.2249383082558629, 0.2251949367610466, + 0.5848839193750882, 0.7256925982821286, -0.3623272742355568, + -0.9490003526436611, 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+namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 100 grid with 3432 points + * + */ +template +struct ahrens_beylkin_3432 { + + static constexpr std::array,3432> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 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3.661022145673961E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_3492.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_3492.hpp new file mode 100644 index 0000000..f496d49 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_3492.hpp @@ -0,0 +1,7003 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 101 grid with 3492 points + * + */ +template +struct ahrens_beylkin_3492 { + + static constexpr std::array,3492> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -6.986792561932403E-02, -0.9426720525314781, 0.3263247988519150, + -0.9426720525314781, -0.3263247988519150, 6.986792561932403E-02, + 0.5778849348162256, 0.6287002739847251, -0.5203700295020635, + -0.9473904864243323, -0.3139717785467531, -6.223333920701640E-02, + -6.986792561932403E-02, 0.9426720525314781, -0.3263247988519150, + 0.9426720525314781, -0.3263247988519150, -6.986792561932403E-02, + 0.5902379551213874, -0.6210656875724174, -0.5156515956092091, + -6.223333920701640E-02, -0.9473904864243323, -0.3139717785467531, + 0.3139717785467531, 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3.565544728369375E-03, + 3.565544728369375E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_3612.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_3612.hpp new file mode 100644 index 0000000..2d3ff60 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_3612.hpp @@ -0,0 +1,7243 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 103 grid with 3612 points + * + */ +template +struct ahrens_beylkin_3612 { + + static constexpr std::array,3612> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -7.242088327155899E-02, -0.9389127835900396, 0.3364491053300195, + -0.9389127835900396, -0.3364491053300195, 7.242088327155899E-02, + 0.5689925618166635, 0.6320146083985781, -0.5261226086836626, + -0.9502002345037952, -0.3068981751914615, -5.415740404675648E-02, + -7.242088327155899E-02, 0.9389127835900396, -0.3364491053300195, + 0.9389127835900396, -0.3364491053300195, -7.242088327155899E-02, + 0.5985434919552215, -0.6137511291737756, -0.5148351577699070, + -5.415740404675648E-02, -0.9502002345037952, -0.3068981751914615, + 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0.9054416671466831, + -0.3068981751914615, 5.415740404675648E-02, 0.9502002345037952, + -5.415740404675648E-02, 0.9502002345037952, 0.3068981751914615, + 0.5985434919552215, 0.6137511291737756, 0.5148351577699070, + 0.9502002345037952, -0.3068981751914615, 5.415740404675648E-02, + -0.6137511291737756, -0.5148351577699070, 0.5985434919552215, + 0.9054416671466831, 0.4240776258201326, -1.826347922480251E-02, + -0.5689925618166635, 0.6320146083985781, 0.5261226086836626, + 0.4240776258201326, 1.826347922480251E-02, -0.9054416671466831, + -0.6320146083985781, -0.5261226086836626, -0.5689925618166635, + -1.826347922480251E-02, 0.9054416671466831, 0.4240776258201326, + 5.415740404675648E-02, -0.9502002345037952, 0.3068981751914615, + -0.6137511291737756, 0.5148351577699070, -0.5985434919552215, + 0.9502002345037952, 0.3068981751914615, -5.415740404675648E-02, + -0.5148351577699070, 0.5985434919552215, -0.6137511291737756, + 0.3068981751914615, 5.415740404675648E-02, -0.9502002345037952, + 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2.886206551559804E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_372.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_372.hpp new file mode 100644 index 0000000..ec31312 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_372.hpp @@ -0,0 +1,763 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 32 grid with 372 points + * + */ +template +struct ahrens_beylkin_372 { + + static constexpr std::array,372> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.4096274129493228, -0.9051875245507640, 0.1133178183610365, + -0.9051875245507640, -0.1133178183610365, 0.4096274129493228, + 0.5490713493140547, 0.8190064323522823, -0.1665806625272866, + -0.9155528316014615, -8.618109219848172E-02, -0.3928559938374654, + -0.4096274129493228, 0.9051875245507640, -0.1133178183610365, + 0.9051875245507640, -0.1133178183610365, -0.4096274129493228, + 0.5762080754766095, -0.8022350132404250, -0.1562153554765892, + -0.3928559938374654, -0.9155528316014615, -8.618109219848172E-02, + 8.618109219848172E-02, 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0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.1163633630016143, -0.9445946115450122, 0.3069211423005622, + -0.9445946115450122, -0.3069211423005622, 0.1163633630016143, + 0.5747742656945158, 0.6612810928672784, -0.4820185263157299, + -0.9536119213753177, -0.2833135186777339, -0.1017730492090915, + -0.1163633630016143, 0.9445946115450122, -0.3069211423005622, + 0.9445946115450122, -0.3069211423005622, 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2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03, + 2.988377866016410E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4212.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4212.hpp new file mode 100644 index 0000000..82dc4af --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4212.hpp @@ -0,0 +1,8443 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 111 grid with 4212 points + * + */ +template +struct ahrens_beylkin_4212 { + + static constexpr std::array,4212> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -3.061589345256055E-02, -0.9391767207930638, 0.3420668855479713, + -0.9391767207930638, -0.3420668855479713, 3.061589345256055E-02, + 0.5793156536941241, 0.6000616193448594, -0.5516515443413303, + -0.9403042019917233, -0.3391151014482045, -2.879159055145315E-02, + -3.061589345256055E-02, 0.9391767207930638, -0.3420668855479713, + 0.9391767207930638, -0.3420668855479713, -3.061589345256055E-02, + 0.5822674377938909, -0.5982373164437519, -0.5505240631426710, + -2.879159055145315E-02, -0.9403042019917233, -0.3391151014482045, + 0.3391151014482045, -2.879159055145315E-02, 0.9403042019917233, + -0.5505240631426710, -0.5822674377938909, 0.5982373164437519, + -0.6000616193448594, 0.5516515443413303, 0.5793156536941241, + 0.3886526576503929, -1.824302901107407E-03, 0.9213825392420955, + 0.5516515443413303, 0.5793156536941241, -0.6000616193448594, + 1.824302901107407E-03, 0.9213825392420955, -0.3886526576503929, + 0.5982373164437519, 0.5505240631426710, 0.5822674377938909, + -0.9213825392420955, -0.3886526576503929, -1.824302901107407E-03, + -0.9403042019917233, 0.3391151014482045, 2.879159055145315E-02, + 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+ 3.044213280259561E-03, + 3.044213280259561E-03, + 3.044213280259561E-03, + 3.044213280259561E-03, + 3.044213280259561E-03, + 3.044213280259561E-03, + 3.044213280259561E-03, + 3.044213280259561E-03, + 3.044213280259561E-03, + 3.044213280259561E-03, + 3.044213280259561E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_432.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_432.hpp new file mode 100644 index 0000000..b70320f --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_432.hpp @@ -0,0 +1,883 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 35 grid with 432 points + * + */ +template +struct ahrens_beylkin_432 { + + static constexpr std::array,432> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.1750974332691168, -0.9572304654535243, 0.2303274296956324, + -0.9572304654535243, -0.2303274296956324, 0.1750974332691168, + 0.6051439166859355, 0.6914471219595623, -0.3945905696184892, + -0.9436875114847487, -0.2657833434939620, -0.1970103930986708, + -0.1750974332691168, 0.9572304654535243, -0.2303274296956324, 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b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4332.hpp new file mode 100644 index 0000000..67c0bbf --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4332.hpp @@ -0,0 +1,8683 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 113 grid with 4332 points + * + */ +template +struct ahrens_beylkin_4332 { + + static constexpr std::array,4332> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 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b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4572.hpp @@ -0,0 +1,9163 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 116 grid with 4572 points + * + */ +template +struct ahrens_beylkin_4572 { + + static constexpr std::array,4572> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, 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2.583435973818134E-03, + 2.583435973818134E-03, + 2.583435973818134E-03, + 2.583435973818134E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4692.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4692.hpp new file mode 100644 index 0000000..5f65729 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4692.hpp @@ -0,0 +1,9403 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 117 grid with 4692 points + * + */ +template +struct ahrens_beylkin_4692 { + + static constexpr std::array,4692> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -5.968662106674036E-02, -0.9412575258763526, 0.3323729490297952, + -0.9412575258763526, -0.3323729490297952, 5.968662106674036E-02, + 0.5768626797559478, 0.6216251434387119, -0.5299166252813621, + -0.9461239892786242, -0.3196323824376406, -5.181251787685740E-02, + -5.968662106674036E-02, 0.9412575258763526, -0.3323729490297952, + 0.9412575258763526, -0.3323729490297952, -5.968662106674036E-02, + 0.5896032463481025, -0.6137510402488290, -0.5250501618790905, + 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2.712278953360236E-03, + 2.712278953360236E-03, + 2.712278953360236E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_492.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_492.hpp new file mode 100644 index 0000000..681d11a --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_492.hpp @@ -0,0 +1,1003 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 37 grid with 492 points + * + */ +template +struct ahrens_beylkin_492 { + + static constexpr std::array,492> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 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+}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4992.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4992.hpp new file mode 100644 index 0000000..79ef339 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_4992.hpp @@ -0,0 +1,10003 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 121 grid with 4992 points + * + */ +template +struct ahrens_beylkin_4992 { + + static constexpr std::array,4992> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 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2.137741457770731E-03, + 2.137741457770731E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_5232.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_5232.hpp new file mode 100644 index 0000000..118d820 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_5232.hpp @@ -0,0 +1,10483 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 124 grid with 5232 points + * + */ +template +struct ahrens_beylkin_5232 { + + static constexpr std::array,5232> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + 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b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_5472.hpp @@ -0,0 +1,10963 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 127 grid with 5472 points + * + */ +template +struct ahrens_beylkin_5472 { + + static constexpr std::array,5472> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, 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end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_552.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_552.hpp new file mode 100644 index 0000000..fb94c85 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_552.hpp @@ -0,0 +1,1123 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 39 grid with 552 points + * + */ +template +struct ahrens_beylkin_552 { + + static constexpr std::array,552> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 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2.098163883176400E-02, + 2.098163883176400E-02, + 2.098163883176400E-02, + 2.098163883176400E-02, + 2.098163883176400E-02, + 2.098163883176400E-02, + 2.098163883176400E-02, + 2.098163883176400E-02, + 2.098163883176400E-02, + 2.098163883176400E-02, + 2.098163883176400E-02 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_5592.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_5592.hpp new file mode 100644 index 0000000..0fc293f --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_5592.hpp @@ -0,0 +1,11203 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 128 grid with 5592 points + * + */ +template +struct ahrens_beylkin_5592 { + + static constexpr std::array,5592> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -2.758520310527588E-02, -0.9376358142844372, 0.3465229232544380, + -0.9376358142844372, -0.3465229232544380, 2.758520310527588E-02, + 0.5767775501106679, 0.5982162774737784, -0.5562957334491713, + -0.9403490664707356, -0.3394195368106588, -2.319506884779512E-02, + -2.758520310527588E-02, 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+ 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -9.184641620601106E-02, -0.9451400345827377, 0.3134877204278562, + -0.9451400345827377, -0.3134877204278562, 9.184641620601106E-02, + 0.5795083863475401, 0.6437483620145362, -0.4997580180011840, + -0.9497603137355803, -0.3013916725682014, -8.437064749919894E-02, + -9.184641620601106E-02, 0.9451400345827377, -0.3134877204278562, + 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b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_612.hpp @@ -0,0 +1,1243 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 41 grid with 612 points + * + */ +template +struct ahrens_beylkin_612 { + + static constexpr std::array,612> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.4286020978804999, -0.8997421991299218, 8.224485878938814E-02, + -0.8997421991299218, -8.224485878938814E-02, 0.4286020978804999, + 0.5543389681878716, 0.8220325396409287, -0.1302720696077667, + -0.9014744911169180, -7.770965948899315E-02, -0.4257991905671011, + -0.4286020978804999, 0.8997421991299218, -8.224485878938814E-02, + 0.8997421991299218, -8.224485878938814E-02, -0.4286020978804999, + 0.5588741674882666, -0.8192296323275299, -0.1285397776207705, + -0.4257991905671011, -0.9014744911169180, -7.770965948899315E-02, + 7.770965948899315E-02, -0.4257991905671011, 0.9014744911169180, + -0.1285397776207705, -0.5588741674882666, 0.8192296323275299, + -0.8220325396409287, 0.1302720696077667, 0.5543389681878716, + 0.7712024215091513, -2.802907313398844E-03, 0.6365838269772598, + 0.1302720696077667, 0.5543389681878716, 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Ahrens-Beylkin Quadrature specification for order 135 grid with 6192 points + * + */ +template +struct ahrens_beylkin_6192 { + + static constexpr std::array,6192> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -5.383328543202991E-02, -0.9373140553085663, 0.3443026852939193, + -0.9373140553085663, -0.3443026852939193, 5.383328543202991E-02, + 0.5695162571026353, 0.6186044513965829, -0.5412760530525414, + -0.9470897425196236, -0.3187096039119833, -3.801589126115128E-02, + -5.383328543202991E-02, 0.9373140553085663, -0.3443026852939193, + 0.9373140553085663, -0.3443026852939193, -5.383328543202991E-02, + 0.5951093384845714, -0.6027870572257044, -0.5315003658414840, + -3.801589126115128E-02, -0.9470897425196236, -0.3187096039119833, + 0.3187096039119833, -3.801589126115128E-02, 0.9470897425196236, + -0.5315003658414840, -0.5951093384845714, 0.6027870572257044, + -0.6186044513965829, 0.5412760530525414, 0.5695162571026353, + 0.4058136894670822, -1.581739417087863E-02, 0.9138189423965546, + 0.5412760530525414, 0.5695162571026353, -0.6186044513965829, + 1.581739417087863E-02, 0.9138189423965546, -0.4058136894670822, + 0.6027870572257044, 0.5315003658414840, 0.5951093384845714, + -0.9138189423965546, -0.4058136894670822, 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b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_6312.hpp @@ -0,0 +1,12643 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 136 grid with 6312 points + * + */ +template +struct ahrens_beylkin_6312 { + + static constexpr std::array,6312> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.4984916636782062, -0.8664554850339062, 2.758538921226920E-02, + -0.8664554850339062, -2.758538921226920E-02, 0.4984916636782062, + 0.5331421220248770, 0.8450403240499013, -4.082068657493495E-02, + -0.8688123024987591, -2.141516098400503E-02, -0.4946782529147949, + -0.4984916636782062, 0.8664554850339062, -2.758538921226920E-02, + 0.8664554850339062, -2.758538921226920E-02, -0.4984916636782062, + 0.5393123502531412, -0.8412269132864899, -3.846386911008208E-02, + -0.4946782529147949, -0.8688123024987591, -2.141516098400503E-02, + 2.141516098400503E-02, -0.4946782529147949, 0.8688123024987591, + -3.846386911008208E-02, -0.5393123502531412, 0.8412269132864899, + -0.8450403240499013, 4.082068657493495E-02, 0.5331421220248770, + 0.8279916159238242, -3.813410763411303E-03, 0.5607275112371463, + 4.082068657493495E-02, 0.5331421220248770, 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b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_672.hpp @@ -0,0 +1,1363 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 44 grid with 672 points + * + */ +template +struct ahrens_beylkin_672 { + + static constexpr std::array,672> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.1656159571962313, -0.9364499008521086, 0.3092457565045189, + -0.9364499008521086, -0.3092457565045189, 0.1656159571962313, + 0.5518028606045216, 0.6977732685357125, -0.4567560275964131, + -0.9634049077356591, -0.2386766323163959, -0.1220018398916591, + -0.1656159571962313, 0.9364499008521086, -0.3092457565045189, + 0.9364499008521086, -0.3092457565045189, -0.1656159571962313, + 0.6223719847926444, -0.6541591512311402, -0.4298010207128625, + -0.1220018398916591, -0.9634049077356591, -0.2386766323163959, + 0.2386766323163959, -0.1220018398916591, 0.9634049077356591, + -0.4298010207128625, -0.6223719847926444, 0.6541591512311402, + -0.6977732685357125, 0.4567560275964131, 0.5518028606045216, + 0.5066488801392460, -4.361411730457231E-02, 0.8610486171090405, + 0.4567560275964131, 0.5518028606045216, -0.6977732685357125, + 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a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_6912.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_6912.hpp new file mode 100644 index 0000000..dbd3133 --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_6912.hpp @@ -0,0 +1,13843 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 143 grid with 6912 points + * + */ +template +struct ahrens_beylkin_6912 { + + static constexpr std::array,6912> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 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+ 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03, + 1.776162179767860E-03 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_72.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_72.hpp new file mode 100644 index 0000000..f43a0fd --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_72.hpp @@ -0,0 +1,163 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 14 grid with 72 points + * + */ +template +struct ahrens_beylkin_72 { + + static constexpr std::array,72> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.2570493873703594, -0.9133300319507995, 0.3158383529422518, + -0.9133300319507995, -0.3158383529422518, 0.2570493873703594, + 0.5015477117589746, 0.7622217572862380, -0.4092284026663054, + -0.9762513228834465, -0.1511082746645616, -0.1552406000253161, + -0.2570493873703594, 0.9133300319507995, -0.3158383529422518, + 0.9133300319507995, -0.3158383529422518, -0.2570493873703594, + 0.6662777900366649, -0.6604129699411947, -0.3463071117336585, + -0.1552406000253161, -0.9762513228834465, -0.1511082746645616, + 0.1511082746645616, -0.1552406000253161, 0.9762513228834465, + -0.3463071117336585, -0.6662777900366649, 0.6604129699411947, + -0.7622217572862380, 0.4092284026663054, 0.5015477117589746, + 0.5670229202171410, -0.1018087873450433, 0.8173860647012264, + 0.4092284026663054, 0.5015477117589746, -0.7622217572862380, + 0.1018087873450433, 0.8173860647012264, -0.5670229202171410, + 0.6604129699411947, 0.3463071117336585, 0.6662777900366649, + -0.8173860647012264, -0.5670229202171410, -0.1018087873450433, + -0.9762513228834465, 0.1511082746645616, 0.1552406000253161, + -0.3158383529422518, 0.2570493873703594, -0.9133300319507995, + -0.3158383529422518, -0.2570493873703594, 0.9133300319507995, + 0.5015477117589746, -0.7622217572862380, 0.4092284026663054, + 0.3158383529422518, -0.2570493873703594, -0.9133300319507995, + -0.1511082746645616, -0.1552406000253161, -0.9762513228834465, + 0.3463071117336585, -0.6662777900366649, -0.6604129699411947, + -0.5670229202171410, -0.1018087873450433, -0.8173860647012264, + 0.1552406000253161, 0.9762513228834465, -0.1511082746645616, + -0.4092284026663054, -0.5015477117589746, -0.7622217572862380, + -0.6662777900366649, 0.6604129699411947, -0.3463071117336585, + -0.1018087873450433, -0.8173860647012264, -0.5670229202171410, + 0.7622217572862380, 0.4092284026663054, -0.5015477117589746, + 0.2570493873703594, 0.9133300319507995, 0.3158383529422518, + -0.9133300319507995, 0.3158383529422518, -0.2570493873703594, + -0.8173860647012264, 0.5670229202171410, 0.1018087873450433, + 0.6604129699411947, -0.3463071117336585, -0.6662777900366649, + 0.2570493873703594, -0.9133300319507995, -0.3158383529422518, + 0.9133300319507995, 0.3158383529422518, 0.2570493873703594, + 0.3158383529422518, 0.2570493873703594, 0.9133300319507995, + 0.3463071117336585, 0.6662777900366649, 0.6604129699411947, + 0.7622217572862380, -0.4092284026663054, 0.5015477117589746, + -0.5670229202171410, 0.1018087873450433, 0.8173860647012264, + -0.1511082746645616, 0.1552406000253161, 0.9762513228834465, + -0.1552406000253161, 0.9762513228834465, 0.1511082746645616, + 0.6662777900366649, 0.6604129699411947, 0.3463071117336585, + 0.9762513228834465, -0.1511082746645616, 0.1552406000253161, + -0.6604129699411947, -0.3463071117336585, 0.6662777900366649, + 0.8173860647012264, 0.5670229202171410, -0.1018087873450433, + -0.5015477117589746, 0.7622217572862380, 0.4092284026663054, + 0.5670229202171410, 0.1018087873450433, -0.8173860647012264, + -0.7622217572862380, -0.4092284026663054, -0.5015477117589746, + -0.1018087873450433, 0.8173860647012264, 0.5670229202171410, + 0.1552406000253161, -0.9762513228834465, 0.1511082746645616, + -0.6604129699411947, 0.3463071117336585, -0.6662777900366649, + 0.9762513228834465, 0.1511082746645616, -0.1552406000253161, + -0.3463071117336585, 0.6662777900366649, -0.6604129699411947, + 0.1511082746645616, 0.1552406000253161, -0.9762513228834465, + -0.4092284026663054, 0.5015477117589746, 0.7622217572862380, + -0.6662777900366649, -0.6604129699411947, 0.3463071117336585, + -0.5015477117589746, -0.7622217572862380, -0.4092284026663054, + 0.8173860647012264, -0.5670229202171410, 0.1018087873450433, + 0.1018087873450433, -0.8173860647012264, 0.5670229202171410, + 0.4092284026663054, -0.5015477117589746, 0.7622217572862380 +}; + + +static constexpr std::array weights = { 0.1558329689280651, + 0.1558329689280651, + 0.1558329689280651, + 0.1558329689280651, + 0.1558329689280651, + 0.1558329689280651, + 0.1558329689280651, + 0.1558329689280651, + 0.1558329689280651, + 0.1558329689280651, + 0.1558329689280651, + 0.1558329689280651, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065, + 0.1782729164537065 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_732.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_732.hpp new file mode 100644 index 0000000..bbf1a2b --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_732.hpp @@ -0,0 +1,1483 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 45 grid with 732 points + * + */ +template +struct ahrens_beylkin_732 { + + static constexpr std::array,732> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -7.411663040301565E-02, -0.9446471619920751, 0.3196067340310916, + -0.9446471619920751, -0.3196067340310916, 7.411663040301565E-02, + 0.5815289423637682, 0.6310491068901652, -0.5134209908899343, + -0.9469422731155372, -0.3135980551019099, -7.040306259729598E-02, + -7.411663040301565E-02, 0.9446471619920751, -0.3196067340310916, + 0.9446471619920751, -0.3196067340310916, -7.411663040301565E-02, + 0.5875376212929500, -0.6273355390844456, -0.5111258797664722, + -7.040306259729598E-02, -0.9469422731155372, -0.3135980551019099, + 0.3135980551019099, -7.040306259729598E-02, 0.9469422731155372, + -0.5111258797664722, -0.5875376212929500, 0.6273355390844456, + -0.6310491068901652, 0.5134209908899343, 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ahrens_beylkin_7512 { + + static constexpr std::array,7512> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -7.742317119628571E-02, -0.9421417730799913, 0.3261510876566273, + -0.9421417730799913, -0.3261510876566273, 7.742317119628571E-02, + 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points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -7.799895897924458E-02, -0.9365395296020840, 0.3417745922254337, + -0.9365395296020840, -0.3417745922254337, 7.799895897924458E-02, + 0.5626860953711472, 0.6369864054020320, -0.5269086044172844, + -0.9526666953328629, -0.2995531242000519, -5.190465668464175E-02, + -7.799895897924458E-02, 0.9365395296020840, -0.3417745922254337, + 0.9365395296020840, -0.3417745922254337, -7.799895897924458E-02, + 0.6049075633965290, -0.6108921031074291, -0.5107814386865055, + -5.190465668464175E-02, -0.9526666953328629, -0.2995531242000519, + 0.2995531242000519, -5.190465668464175E-02, 0.9526666953328629, + -0.5107814386865055, -0.6049075633965290, 0.6108921031074291, + -0.6369864054020320, 0.5269086044172844, 0.5626860953711472, + 0.4257580909155785, -2.609430229460283E-02, 0.9044606875965809, + 0.5269086044172844, 0.5626860953711472, -0.6369864054020320, + 2.609430229460283E-02, 0.9044606875965809, -0.4257580909155785, + 0.6108921031074291, 0.5107814386865055, 0.6049075633965290, + -0.9044606875965809, -0.4257580909155785, -2.609430229460283E-02, + -0.9526666953328629, 0.2995531242000519, 5.190465668464175E-02, + -0.3417745922254337, 7.799895897924458E-02, -0.9365395296020840, + 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-0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.1307145964102626, -0.9487426739236342, 0.2877516862879085, + -0.9487426739236342, -0.2877516862879085, 0.1307145964102626, + 0.5832800716453614, 0.6690418280935942, -0.4606163156929675, + -0.9518178213405372, 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1.203497978311500E-02, + 1.203497978311500E-02, + 1.203497978311500E-02, + 1.203497978311500E-02, + 1.203497978311500E-02, + 1.203497978311500E-02, + 1.203497978311500E-02, + 1.203497978311500E-02, + 1.203497978311500E-02 +}; +}; +}} \ No newline at end of file diff --git a/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_972.hpp b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_972.hpp new file mode 100644 index 0000000..9b431fb --- /dev/null +++ b/include/integratorxx/quadratures/ahrens_beylkin/ahrens_beylkin_972.hpp @@ -0,0 +1,1963 @@ +#pragma once + +namespace IntegratorXX { +namespace AhrensBeylkinGrids { + +/** + * \brief Ahrens-Beylkin Quadrature specification for order 53 grid with 972 points + * + */ +template +struct ahrens_beylkin_972 { + + static constexpr std::array,972> points = { + 0.000000000000000E+00, -0.5257311121191336, 0.8506508083520399, + 0.000000000000000E+00, -0.5257311121191336, -0.8506508083520399, + 0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.000000000000000E+00, 0.5257311121191336, -0.8506508083520399, + 0.000000000000000E+00, 0.5257311121191336, 0.8506508083520399, + -0.8506508083520399, 0.000000000000000E+00, 0.5257311121191336, + -0.8506508083520399, 0.000000000000000E+00, -0.5257311121191336, + 0.5257311121191336, -0.8506508083520399, 0.000000000000000E+00, + 0.5257311121191336, 0.8506508083520399, 0.000000000000000E+00, + -0.2247866710459132, -0.9447737245230388, 0.2384817854071076, + -0.9447737245230388, -0.2384817854071076, 0.2247866710459132, + 0.5756342048123414, 0.7279380237863097, -0.3724936184368068, + -0.9530417931437652, -0.2168357007367290, -0.2114086549962612, + -0.2247866710459132, 0.9447737245230388, -0.2384817854071076, + 0.9447737245230388, -0.2384817854071076, 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"ahrens_beylkin_432.hpp" +#include "ahrens_beylkin_492.hpp" +#include "ahrens_beylkin_552.hpp" +#include "ahrens_beylkin_612.hpp" +#include "ahrens_beylkin_672.hpp" +#include "ahrens_beylkin_732.hpp" +#include "ahrens_beylkin_792.hpp" +#include "ahrens_beylkin_912.hpp" +#include "ahrens_beylkin_972.hpp" +#include "ahrens_beylkin_1032.hpp" +#include "ahrens_beylkin_1092.hpp" +#include "ahrens_beylkin_1272.hpp" +#include "ahrens_beylkin_1332.hpp" +#include "ahrens_beylkin_1392.hpp" +#include "ahrens_beylkin_1512.hpp" +#include "ahrens_beylkin_1572.hpp" +#include "ahrens_beylkin_1632.hpp" +#include "ahrens_beylkin_1692.hpp" +#include "ahrens_beylkin_1812.hpp" +#include "ahrens_beylkin_1932.hpp" +#include "ahrens_beylkin_1992.hpp" +#include "ahrens_beylkin_2112.hpp" +#include "ahrens_beylkin_2172.hpp" +#include "ahrens_beylkin_2232.hpp" +#include "ahrens_beylkin_2292.hpp" +#include "ahrens_beylkin_2412.hpp" +#include "ahrens_beylkin_2472.hpp" +#include "ahrens_beylkin_2712.hpp" +#include "ahrens_beylkin_2772.hpp" +#include "ahrens_beylkin_2832.hpp" +#include "ahrens_beylkin_3012.hpp" +#include "ahrens_beylkin_3312.hpp" +#include "ahrens_beylkin_3372.hpp" +#include "ahrens_beylkin_3432.hpp" +#include "ahrens_beylkin_3492.hpp" +#include "ahrens_beylkin_3612.hpp" +#include "ahrens_beylkin_3792.hpp" +#include "ahrens_beylkin_4212.hpp" +#include "ahrens_beylkin_4332.hpp" +#include "ahrens_beylkin_4572.hpp" +#include "ahrens_beylkin_4692.hpp" +#include "ahrens_beylkin_4992.hpp" +#include "ahrens_beylkin_5232.hpp" +#include "ahrens_beylkin_5472.hpp" +#include "ahrens_beylkin_5592.hpp" +#include "ahrens_beylkin_5772.hpp" +#include "ahrens_beylkin_6192.hpp" +#include "ahrens_beylkin_6312.hpp" +#include "ahrens_beylkin_6912.hpp" +#include "ahrens_beylkin_7512.hpp" +#include "ahrens_beylkin_15012.hpp" diff --git a/include/integratorxx/quadratures/copy_grid.hpp b/include/integratorxx/quadratures/copy_grid.hpp new file mode 100644 index 0000000..9d670c8 --- /dev/null +++ b/include/integratorxx/quadratures/copy_grid.hpp @@ -0,0 +1,16 @@ +#pragma once + +namespace IntegratorXX { + +namespace detail { +template +void copy_grid(PointContainer &points, WeightsContainer &weights) { + + const auto &static_points = StaticGrid::points; + const auto &static_weights = StaticGrid::weights; + + std::copy(static_points.begin(), static_points.end(), points.begin()); + std::copy(static_weights.begin(), static_weights.end(), weights.begin()); +} +} // namespace detail +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov.hpp b/include/integratorxx/quadratures/lebedev_laikov.hpp index fc5f2f8..5783edf 100644 --- a/include/integratorxx/quadratures/lebedev_laikov.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov.hpp @@ -2,21 +2,10 @@ #include #include +#include namespace IntegratorXX { -namespace detail { - template - void copy_grid( PointContainer& points, WeightsContainer& weights ){ - - const auto& static_points = StaticGrid::points; - const auto& static_weights = StaticGrid::weights; - - std::copy( static_points.begin(), static_points.end(), points.begin() ); - std::copy( static_weights.begin(), static_weights.end(), weights.begin() ); - - } -} template class LebedevLaikov : @@ -117,6 +106,10 @@ struct quadrature_traits< LebedevLaikov > { detail::copy_grid>( points, weights ); else if( npts == 5810 ) detail::copy_grid>( points, weights ); + + // Pretabulated weights are missing 4 pi + for(auto i=0; i < npts; i++) + weights[i] *= 4.0*M_PI; return std::make_tuple( points, weights ); diff --git a/test/1d_quadratures.cxx b/test/1d_quadratures.cxx index 159d995..e840ade 100644 --- a/test/1d_quadratures.cxx +++ b/test/1d_quadratures.cxx @@ -8,6 +8,7 @@ #include #include #include +#include #include #include @@ -276,7 +277,7 @@ TEST_CASE( "Lebedev-Laikov", "[1d-quad]" ) { for( auto i = 0; i < quad.npts(); ++i ) res += wgt[i] * f(pts[i])* std::conj(f(pts[i])); - CHECK( 4.*M_PI*std::real(res) == Catch::Approx(1.) ); + CHECK( std::real(res) == Catch::Approx(1.) ); } @@ -287,3 +288,35 @@ TEST_CASE( "Lebedev-Laikov", "[1d-quad]" ) { test_fn(974); } + +TEST_CASE( "Ahrens-Beylkin", "[1d-quad]" ) { + + + auto test_fn = [&]( size_t nPts ) { + + IntegratorXX::AhrensBeylkin quad( nPts ); + + const auto& pts = quad.points(); + const auto& wgt = quad.weights(); + + for( auto l = 1; l < 10; ++l ) + for( auto m = 0; m <= l; ++m ) { + + auto f = [=]( decltype(pts[0]) x ){ + return spherical_harmonics(l,m,x[0],x[1],x[2]); + }; + + std::complex res = 0.; + for( auto i = 0; i < quad.npts(); ++i ) + res += wgt[i] * f(pts[i])* std::conj(f(pts[i])); + + CHECK( std::real(res) == Catch::Approx(1.) ); + + } + + }; + + test_fn(312); + test_fn(792); + test_fn(972); +} diff --git a/test/composite_quadratures.cxx b/test/composite_quadratures.cxx index 11d632d..aaa0459 100644 --- a/test/composite_quadratures.cxx +++ b/test/composite_quadratures.cxx @@ -244,7 +244,7 @@ TEST_CASE( "Pruned Spherical Quadratures", "[sph-quad]" ) { const auto _r = r.points()[i]; const auto _rw = r.weights()[i]; const auto _aw = q.weights()[j]; - CHECK( ps.weights()[npts] == Catch::Approx( 4 * M_PI * _r * _r * _rw * _aw ) ); + CHECK( ps.weights()[npts] == Catch::Approx( _r * _r * _rw * _aw ) ); npts++; } }