clean up
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@@ -38,25 +38,19 @@ void ufo::project_to_mode(std::string config_file)
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auto primative_basis = [&]
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{
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biu::Logger::Guard log;
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std::vector<Eigen::VectorXcd> basis((config.PrimativeCellBasisNumber.array() * 2 - 1).prod());
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std::vector<Eigen::VectorXcd> basis(config.PrimativeCellBasisNumber.array().prod());
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for (auto [xyz_of_basis, i_of_basis]
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: biu::sequence
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(
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(-config.PrimativeCellBasisNumber.cast<int>().array() + 1).matrix().eval(),
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config.PrimativeCellBasisNumber.cast<int>().eval()
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))
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: biu::sequence(config.PrimativeCellBasisNumber.cast<int>().eval()))
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{
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// 波矢就是 xyz_of_basis, 单位为单胞的倒格矢
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// 将它的单位转换成埃^-1
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Eigen::Vector3cd wavevector = input.Primative.Cell.inverse() * xyz_of_basis.cast<double>();
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auto wavevector = input.Primative.Cell.inverse() * xyz_of_basis.cast<double>();
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log.debug("xyz_of_basis: {}"_f(xyz_of_basis));
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log.debug("wavevector: {:.3f}"_f(fmt::join(wavevector, ", ")));
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// 将原子坐标单位也转换为埃
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Eigen::MatrixX3d atom_position = input.Primative.AtomPosition * input.Primative.Cell;
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log.debug("first atom: {}"_f(atom_position.row(0)));
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auto atom_position = input.Primative.AtomPosition * input.Primative.Cell;
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// 计算基矢
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basis[i_of_basis] = (2i * std::numbers::pi_v<double> * (atom_position * wavevector)).array().exp();
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if (i_of_basis == 1) log.debug("basis: {}"_f(basis[i_of_basis]));
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}
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return basis;
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}();
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@@ -64,7 +58,7 @@ void ufo::project_to_mode(std::string config_file)
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auto super_basis = [&]
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{
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biu::Logger::Guard log;
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std::vector<Eigen::VectorXcd> basis((config.PrimativeCellBasisNumber.array() * 2 - 1).prod());
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std::vector<Eigen::VectorXcd> basis(config.PrimativeCellBasisNumber.array().prod());
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auto diff_of_sub_qpoint_by_reciprocal_modified_super_cell = [&]
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{
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for
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@@ -78,30 +72,24 @@ void ufo::project_to_mode(std::string config_file)
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log.debug("diff_of_sub_qpoint_by_reciprocal_modified_super_cell: {}"_f
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(diff_of_sub_qpoint_by_reciprocal_modified_super_cell));
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for (auto [xyz_of_basis, i_of_basis]
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: biu::sequence
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(
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(-config.PrimativeCellBasisNumber.cast<int>().array() + 1).matrix().eval(),
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config.PrimativeCellBasisNumber.cast<int>().eval()
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))
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: biu::sequence(config.PrimativeCellBasisNumber.cast<int>().eval()))
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{
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// 计算波矢, 单位为单胞的倒格矢
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Eigen::Vector3cd wavevector_by_reciprocal_primative_cell = xyz_of_basis.cast<double>()
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auto wavevector_by_reciprocal_primative_cell = xyz_of_basis.cast<double>()
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+ input.Super.CellMultiplier.cast<double>().cwiseInverse().asDiagonal()
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* diff_of_sub_qpoint_by_reciprocal_modified_super_cell.cast<double>();
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// 将单位转换为埃^-1
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Eigen::Vector3cd wavevector = input.Primative.Cell.inverse() * wavevector_by_reciprocal_primative_cell;
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auto wavevector = input.Primative.Cell.inverse() * wavevector_by_reciprocal_primative_cell;
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log.debug("wavevector: {}"_f(wavevector));
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// 将原子坐标单位也转换为埃
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Eigen::MatrixX3d atom_position = input.Super.AtomPosition
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* (input.Super.CellDeformation * input.Super.CellMultiplier.cast<double>().asDiagonal() * input.Primative.Cell);
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log.debug("first atom: {}"_f(atom_position.row(0)));
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// 如果在制作模型的过程中,原子有移动过,需要减掉这个移动
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if (input.Super.AtomTranslation)
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atom_position -= (input.Super.AtomTranslation.value_or(std::array{0., 0., 0.}) | biu::toEigen<>)
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.transpose().replicate(atom_position.rows(), 1);
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// 计算基矢
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basis[i_of_basis] =
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(
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2i * std::numbers::pi_v<double> *
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((atom_position - (input.Super.AtomTranslation.value_or(std::array<double, 3>{0, 0, 0}) | biu::toEigen<>).transpose().replicate(atom_position.rows(), 1) ) * wavevector)
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).array().exp();
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if (i_of_basis == 1) log.debug("basis: {}"_f(basis[i_of_basis]));
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basis[i_of_basis] = (2i * std::numbers::pi_v<double> * (atom_position * wavevector)).array().exp();
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}
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return basis;
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}();
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@@ -117,19 +105,6 @@ void ufo::project_to_mode(std::string config_file)
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| biu::toEigen<>;
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})
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| ranges::to_vector;
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log.debug("primitive_projection_coefficient: {}"_f(nameof::nameof_full_type<decltype(primative_projection_coefficient)>()));
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for (auto i_of_primative_mode : std::views::iota(0u, primative_projection_coefficient.size()))
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for (auto i_of_direction : std::array{0, 1, 2})
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{
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if (i_of_primative_mode != 0 && i_of_primative_mode != 11) continue;
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log.debug("primitive mode: {} {} {:.3f}"_f
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(i_of_primative_mode, i_of_direction, fmt::join(primative_projection_coefficient[i_of_primative_mode].col(i_of_direction).array().abs(), ", ")));
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log.debug("primitive mode: {} {} {:.3f}"_f
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(i_of_primative_mode, i_of_direction, fmt::join(primative_projection_coefficient[i_of_primative_mode].col(i_of_direction).array().arg(), ", ")));
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}
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log.debug("primitive 0 {}"_f(primative_projection_coefficient[0].col(2).transpose().conjugate() * primative_projection_coefficient[0].col(2)));
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log.debug("primitive 11 {}"_f(primative_projection_coefficient[11].col(2).transpose().conjugate() * primative_projection_coefficient[11].col(2)));
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log.debug("0 x 11 {}"_f(primative_projection_coefficient[11].col(2).transpose().conjugate() * primative_projection_coefficient[0].col(2)));
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auto super_projection_coefficient =
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input.Super.Qpoint[config.SuperQpointIndex].Mode
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| ranges::views::transform([&](const auto& mode)
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@@ -141,16 +116,6 @@ void ufo::project_to_mode(std::string config_file)
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| biu::toEigen<>;
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})
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| ranges::to_vector;
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log.debug("super 2 x primitive 0 {}"_f(super_projection_coefficient[2].col(2).transpose().conjugate() * primative_projection_coefficient[0].col(2)));
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log.debug("super 2 x primitive 11 {}"_f(super_projection_coefficient[2].col(2).transpose().conjugate() * primative_projection_coefficient[11].col(2)));
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log.debug("super 2 x super 2 {}"_f(super_projection_coefficient[2].col(2).transpose().conjugate() * super_projection_coefficient[2].col(2)));
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for (auto i_of_direction : std::array{0, 1, 2})
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{
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log.debug("super mode: 2 {} {:.3f}"_f
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(i_of_direction, fmt::join(super_projection_coefficient[2].col(i_of_direction).array().abs(), ", ")));
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log.debug("super mode: 2 {} {:.3f}"_f
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(i_of_direction, fmt::join(super_projection_coefficient[2].col(i_of_direction).array().arg(), ", ")));
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}
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// 将它们互相投影,得到结果
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for (auto [i_of_super_mode, super_mode] : ranges::views::enumerate(super_projection_coefficient))
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{
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@@ -1,4 +1,4 @@
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PrimativeCellBasisNumber: [ 4, 4, 4 ]
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PrimativeCellBasisNumber: [ 8, 8, 8 ]
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SuperQpointIndex: 0
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SubQpointIndex: 0
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PrimativeQpointIndex: 0
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