host_forcing now committed. Sorry.
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src/standalone/model/host_forcing.cc
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src/standalone/model/host_forcing.cc
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/*
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Copyright (C) 2014-2019, Johannes Pekkilae, Miikka Vaeisalae.
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This file is part of Astaroth.
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Astaroth is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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Astaroth is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with Astaroth. If not, see <http://www.gnu.org/licenses/>.
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*/
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/**
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* @file
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* \brief Brief info.
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*
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* Detailed info.
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*
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*/
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#include "host_forcing.h"
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#include "core/math_utils.h"
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//The is a wrapper for genering random numbers with a chosen system.
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AcReal
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get_random_number_01()
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{
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//TODO: Implement better randon number generator http://www.cplusplus.com/reference/random/
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return AcReal(rand())/AcReal(RAND_MAX);
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}
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AcReal3
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cross(const AcReal3& a, const AcReal3& b)
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{
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AcReal3 c;
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c.x = a.y * b.z - a.z * b.y;
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c.y = a.z * b.x - a.x * b.z;
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c.z = a.x * b.y - a.y * b.x;
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return c;
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}
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AcReal
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dot(const AcReal3& a, const AcReal3& b)
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{
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return a.x * b.x + a.y * b.y + a.z * b.z;
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}
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AcReal3
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vec_norm(const AcReal3& a)
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{
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AcReal3 c;
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AcReal norm = dot(a, a);
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c.x = a.x/sqrt(norm);
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c.y = a.y/sqrt(norm);
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c.z = a.z/sqrt(norm);
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return c;
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}
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AcReal3
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vec_multi_scal(const AcReal scal, const AcReal3& a)
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{
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AcReal3 c;
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c.x = a.x*scal;
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c.y = a.y*scal;
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c.z = a.z*scal;
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return c;
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}
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// Generate forcing wave vector k_force
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AcReal3
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helical_forcing_k_generator(const AcReal kmax, const AcReal kmin)
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{
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AcReal phi, theta, kk; //Spherical direction coordinates
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AcReal3 k_force; //forcing wave vector
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AcReal delta_k = kmax - kmin;
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// Generate vector in spherical coordinates
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phi = AcReal(2.0)*AcReal(M_PI)*get_random_number_01();
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theta = AcReal(M_PI)*get_random_number_01();
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kk = delta_k*get_random_number_01() + kmin;
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// Cast into Cartesian form
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k_force = (AcReal3){kk*sin(theta)*cos(phi),
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kk*sin(theta)*sin(phi),
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kk*cos(theta) };
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//printf("k_force.x %f, k_force.y %f, k_force.z %f \n", k_force.x, k_force.y, k_force.z);
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//Round the numbers. In that way k(x/y/z) will get complete waves.
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k_force.x = round(k_force.x); k_force.y = round(k_force.y); k_force.z = round(k_force.z);
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//printf("After rounding --> k_force.x %f, k_force.y %f, k_force.z %f \n", k_force.x, k_force.y, k_force.z);
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return k_force;
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}
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//Generate the unit perpendicular unit vector e required for helical forcing
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//Addapted from Pencil code forcing.f90 hel_vec() subroutine.
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void
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helical_forcing_e_generator(AcReal3* e_force, const AcReal3 k_force)
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{
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AcReal3 k_cross_e = cross(k_force, *e_force);
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k_cross_e = vec_norm(k_cross_e);
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AcReal3 k_cross_k_cross_e = cross(k_force, k_cross_e);
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k_cross_k_cross_e = vec_norm(k_cross_k_cross_e);
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AcReal phi = AcReal(2.0)*AcReal(M_PI)*get_random_number_01();
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AcReal3 ee_tmp1 = vec_multi_scal(cos(phi),k_cross_e);
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AcReal3 ee_tmp2 = vec_multi_scal(sin(phi), k_cross_k_cross_e);
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*e_force = (AcReal3){ee_tmp1.x + ee_tmp2.x,
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ee_tmp1.y + ee_tmp2.y,
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ee_tmp1.z + ee_tmp2.z};
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}
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//PC Manual Eq. 223
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void
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helical_forcing_special_vector(AcReal3* ff_hel_re, AcReal3* ff_hel_im, const AcReal3 k_force,
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const AcReal3 e_force, const AcReal relhel)
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{
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// k dot e
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AcReal3 kdote;
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kdote.x = k_force.x * e_force.x;
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kdote.y = k_force.y * e_force.y;
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kdote.z = k_force.z * e_force.z;
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// k cross e
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AcReal3 k_cross_e;
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k_cross_e.x=k_force.y*e_force.z-k_force.z*e_force.y;
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k_cross_e.y=k_force.z*e_force.x-k_force.x*e_force.z;
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k_cross_e.z=k_force.x*e_force.y-k_force.y*e_force.x;
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// k cross k cross e
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AcReal3 k_cross_k_cross_e;
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k_cross_k_cross_e.x=k_force.y*k_cross_e.z-k_force.z*k_cross_e.y;
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k_cross_k_cross_e.y=k_force.z*k_cross_e.x-k_force.x*k_cross_e.z;
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k_cross_k_cross_e.z=k_force.x*k_cross_e.y-k_force.y*k_cross_e.x;
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// abs(k)
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AcReal kabs = sqrt(k_force.x*k_force.x + k_force.y*k_force.y + k_force.z*k_force.z);
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AcReal denominator = sqrt(AcReal(1.0) + relhel*relhel)*kabs
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*sqrt(kabs*kabs - (kdote.x*kdote.x + kdote.y*kdote.y + kdote.z*kdote.z));
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//MV: I suspect there is a typo in the Pencil Code manual!
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//*ff_hel_re = (AcReal3){-relhel*kabs*k_cross_e.x/denominator,
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// -relhel*kabs*k_cross_e.y/denominator,
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// -relhel*kabs*k_cross_e.z/denominator};
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//*ff_hel_im = (AcReal3){k_cross_k_cross_e.x/denominator,
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// k_cross_k_cross_e.y/denominator,
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// k_cross_k_cross_e.z/denominator};
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// See PC forcing.f90 forcing_hel_both()
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*ff_hel_re = (AcReal3){kabs*k_cross_e.x/denominator,
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kabs*k_cross_e.y,
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kabs*k_cross_e.z};
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*ff_hel_im = (AcReal3){relhel*k_cross_k_cross_e.x/denominator,
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relhel*k_cross_k_cross_e.y,
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relhel*k_cross_k_cross_e.z};
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}
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45
src/standalone/model/host_forcing.h
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45
src/standalone/model/host_forcing.h
Normal file
@@ -0,0 +1,45 @@
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/*
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Copyright (C) 2014-2019, Johannes Pekkilae, Miikka Vaeisalae.
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This file is part of Astaroth.
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Astaroth is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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Astaroth is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with Astaroth. If not, see <http://www.gnu.org/licenses/>.
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*/
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/**
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* @file
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* \brief Brief info.
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*
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* Detailed info.
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*
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*/
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#pragma once
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#include "astaroth.h"
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AcReal get_random_number_01();
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AcReal3 cross(const AcReal3& a, const AcReal3& b);
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AcReal dot(const AcReal3& a, const AcReal3& b);
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AcReal3 vec_norm(const AcReal3& a);
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AcReal3 vec_multi_scal(const AcReal scal, const AcReal3& a);
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AcReal3 helical_forcing_k_generator(const AcReal kmax, const AcReal kmin);
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void helical_forcing_e_generator(AcReal3* e_force, const AcReal3 k_force);
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void helical_forcing_special_vector(AcReal3* ff_hel_re, AcReal3* ff_hel_im, const AcReal3 k_force, const AcReal3 e_force, const AcReal relhel);
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