mirror of
https://github.com/triqs/dft_tools
synced 2024-12-25 22:03:43 +01:00
579368f24b
- lazy_fourier and co --> fourier - ex fourier --> make_gf_from_fourier to make a new gf - = fourier (g) works only iif lhs is a view, like scalar. - updated python (commented fourier method).
115 lines
3.5 KiB
C++
115 lines
3.5 KiB
C++
/*******************************************************************************
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*
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* TRIQS: a Toolbox for Research in Interacting Quantum Systems
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*
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* Copyright (C) 2011-2014 by L. Boehnke, M. Ferrero, O. Parcollet
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*
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* TRIQS is free software: you can redistribute it and/or modify it under the
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* terms of the GNU General Public License as published by the Free Software
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* Foundation, either version 3 of the License, or (at your option) any later
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* version.
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*
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* TRIQS is distributed in the hope that it will be useful, but WITHOUT ANY
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* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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* FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
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* details.
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*
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* You should have received a copy of the GNU General Public License along with
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* TRIQS. If not, see <http://www.gnu.org/licenses/>.
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*
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******************************************************************************/
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#include "legendre_matsubara.hpp"
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#include "fourier_matsubara.hpp"
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#include "functions.hpp"
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#include <triqs/utility/legendre.hpp>
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using namespace triqs::utility;
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namespace triqs {
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namespace gfs {
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// ----------------------------
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void legendre_matsubara_direct(gf_view<imfreq> gw, gf_const_view<legendre> gl) {
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gw() = 0.0;
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triqs::arrays::range R;
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// Use the transformation matrix
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for (auto om : gw.mesh()) {
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for (auto l : gl.mesh()) {
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gw[om] += legendre_T(om.index(), l.index()) * gl[l];
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}
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}
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gw.singularity() = get_tail(gl, gw.singularity().size(), gw.singularity().order_min());
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}
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// ----------------------------
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void legendre_matsubara_direct(gf_view<imtime> gt, gf_const_view<legendre> gl) {
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gt() = 0.0;
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legendre_generator L;
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for (auto t : gt.mesh()) {
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L.reset(2 * t / gt.domain().beta - 1);
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for (auto l : gl.mesh()) {
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gt[t] += sqrt(2 * l.index() + 1) / gt.domain().beta * gl[l] * L.next();
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}
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}
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gt.singularity() = get_tail(gl, gt.singularity().size(), gt.singularity().order_min());
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}
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// ----------------------------
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void legendre_matsubara_inverse(gf_view<legendre> gl, gf_const_view<imtime> gt) {
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gl() = 0.0;
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legendre_generator L;
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// Do the integral over imaginary time
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for (auto t : gt.mesh()) {
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L.reset(2 * t / gt.domain().beta - 1);
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for (auto l : gl.mesh()) {
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gl[l] += sqrt(2 * l.index() + 1) * L.next() * gt[t];
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}
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}
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gl.data() *= gt.mesh().delta();
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}
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// ----------------------------
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void legendre_matsubara_inverse(gf_view<legendre> gl, gf_const_view<imfreq> gw) {
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gl() = 0.0;
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// Construct a temporary imaginary-time Green's function gt
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// I set Nt time bins. This is ugly, one day we must code the direct
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// transformation without going through imaginary time
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int Nt = 50000;
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auto gt = gf<imtime>{{gw.domain(), Nt, half_bins}, gw.data().shape().front_pop()};
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// We first transform to imaginary time because it's been coded with the knowledge of the tails
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gt() = inverse_fourier(gw);
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legendre_matsubara_inverse(gl, gt());
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}
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void triqs_gf_view_assign_delegation(gf_view<imfreq> gw, gf_keeper<tags::legendre, legendre> const& L) {
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legendre_matsubara_direct(gw, L.g);
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}
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void triqs_gf_view_assign_delegation(gf_view<imtime> gt, gf_keeper<tags::legendre, legendre> const& L) {
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legendre_matsubara_direct(gt, L.g);
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}
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void triqs_gf_view_assign_delegation(gf_view<legendre> gl, gf_keeper<tags::legendre, imfreq> const& L) {
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legendre_matsubara_inverse(gl, L.g);
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}
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void triqs_gf_view_assign_delegation(gf_view<legendre> gl, gf_keeper<tags::legendre, imtime> const& L) {
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legendre_matsubara_inverse(gl, L.g);
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}
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}
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}
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