/*******************************************************************************
* This file is part of SWIFT.
* Copyright (c) 2021 Mladen Ivkovic (mladen.ivkovic@hotmail.com)
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published
* by the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*
******************************************************************************/
#ifndef RT_RIEMANN_HLL_EIGENVALUES_H
#define RT_RIEMANN_HLL_EIGENVALUES_H
/**
* @file src/rt/GEAR/rt_riemann_HLL_eigenvalues.h
* @brief Contains the tabulated eigenvalues for the
* HLL RT Riemann solver following Gonzalez et al 2007
* (ui.adsabs.harvard.edu/abs/2007A%26A...464..429G).
*
* For more details on how these eigenvalues are computed, look
* into /theory/RadiativeTransfer/HLLRiemannSolverEigenvalues
* */
/* We store the minimal and maximal eigenvalues for
* RT_RIEMANN_HLL_NPOINTS different values of
* 0 < f < 1 and 0 < theta < pi.
*
* First index: f
* Second index: theta
* [f][theta][0]: min eigenvalue
* [f][theta][1]: max eigenvalue
* */
static float rt_riemann_HLL_eigenvals
[RT_RIEMANN_HLL_NPOINTS][RT_RIEMANN_HLL_NPOINTS][2] = {
{
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
{-.577350E+00, 0.577350E+00}, {-.577350E+00, 0.577350E+00},
},
{
{-.572277E+00, 0.582379E+00}, {-.572280E+00, 0.582376E+00},
{-.572288E+00, 0.582369E+00}, {-.572300E+00, 0.582356E+00},
{-.572318E+00, 0.582338E+00}, {-.572341E+00, 0.582316E+00},
{-.572369E+00, 0.582288E+00}, {-.572402E+00, 0.582255E+00},
{-.572440E+00, 0.582218E+00}, {-.572483E+00, 0.582175E+00},
{-.572531E+00, 0.582128E+00}, {-.572583E+00, 0.582076E+00},
{-.572641E+00, 0.582019E+00}, {-.572703E+00, 0.581957E+00},
{-.572770E+00, 0.581891E+00}, {-.572841E+00, 0.581820E+00},
{-.572917E+00, 0.581744E+00}, {-.572998E+00, 0.581665E+00},
{-.573082E+00, 0.581580E+00}, {-.573172E+00, 0.581492E+00},
{-.573265E+00, 0.581399E+00}, {-.573362E+00, 0.581303E+00},
{-.573464E+00, 0.581202E+00}, {-.573569E+00, 0.581097E+00},
{-.573678E+00, 0.580989E+00}, {-.573791E+00, 0.580877E+00},
{-.573907E+00, 0.580761E+00}, {-.574027E+00, 0.580642E+00},
{-.574150E+00, 0.580520E+00}, {-.574276E+00, 0.580394E+00},
{-.574406E+00, 0.580265E+00}, {-.574538E+00, 0.580134E+00},
{-.574673E+00, 0.579999E+00}, {-.574811E+00, 0.579862E+00},
{-.574951E+00, 0.579722E+00}, {-.575094E+00, 0.579580E+00},
{-.575239E+00, 0.579435E+00}, {-.575386E+00, 0.579289E+00},
{-.575535E+00, 0.579140E+00}, {-.575686E+00, 0.578990E+00},
{-.575839E+00, 0.578838E+00}, {-.575993E+00, 0.578684E+00},
{-.576148E+00, 0.578529E+00}, {-.576304E+00, 0.578373E+00},
{-.576462E+00, 0.578216E+00}, {-.576620E+00, 0.578058E+00},
{-.576779E+00, 0.577899E+00}, {-.576939E+00, 0.577739E+00},
{-.577099E+00, 0.577580E+00}, {-.577259E+00, 0.577419E+00},
{-.577419E+00, 0.577259E+00}, {-.577580E+00, 0.577099E+00},
{-.577739E+00, 0.576939E+00}, {-.577899E+00, 0.576779E+00},
{-.578058E+00, 0.576620E+00}, {-.578216E+00, 0.576462E+00},
{-.578373E+00, 0.576304E+00}, {-.578529E+00, 0.576148E+00},
{-.578684E+00, 0.575993E+00}, {-.578838E+00, 0.575839E+00},
{-.578990E+00, 0.575686E+00}, {-.579140E+00, 0.575535E+00},
{-.579289E+00, 0.575386E+00}, {-.579435E+00, 0.575239E+00},
{-.579580E+00, 0.575094E+00}, {-.579722E+00, 0.574951E+00},
{-.579862E+00, 0.574811E+00}, {-.579999E+00, 0.574673E+00},
{-.580134E+00, 0.574538E+00}, {-.580265E+00, 0.574406E+00},
{-.580394E+00, 0.574276E+00}, {-.580520E+00, 0.574150E+00},
{-.580642E+00, 0.574027E+00}, {-.580761E+00, 0.573907E+00},
{-.580877E+00, 0.573791E+00}, {-.580989E+00, 0.573678E+00},
{-.581097E+00, 0.573569E+00}, {-.581202E+00, 0.573464E+00},
{-.581303E+00, 0.573362E+00}, {-.581399E+00, 0.573265E+00},
{-.581492E+00, 0.573172E+00}, {-.581580E+00, 0.573082E+00},
{-.581665E+00, 0.572998E+00}, {-.581744E+00, 0.572917E+00},
{-.581820E+00, 0.572841E+00}, {-.581891E+00, 0.572770E+00},
{-.581957E+00, 0.572703E+00}, {-.582019E+00, 0.572641E+00},
{-.582076E+00, 0.572583E+00}, {-.582128E+00, 0.572531E+00},
{-.582175E+00, 0.572483E+00}, {-.582218E+00, 0.572440E+00},
{-.582255E+00, 0.572402E+00}, {-.582288E+00, 0.572369E+00},
{-.582316E+00, 0.572341E+00}, {-.582338E+00, 0.572318E+00},
{-.582356E+00, 0.572300E+00}, {-.582369E+00, 0.572288E+00},
{-.582376E+00, 0.572280E+00}, {-.582379E+00, 0.572277E+00},
},
{
{-.567159E+00, 0.587364E+00}, {-.567164E+00, 0.587359E+00},
{-.567180E+00, 0.587344E+00}, {-.567205E+00, 0.587319E+00},
{-.567241E+00, 0.587284E+00}, {-.567287E+00, 0.587239E+00},
{-.567343E+00, 0.587183E+00}, {-.567410E+00, 0.587118E+00},
{-.567486E+00, 0.587043E+00}, {-.567572E+00, 0.586959E+00},
{-.567668E+00, 0.586864E+00}, {-.567774E+00, 0.586760E+00},
{-.567889E+00, 0.586647E+00}, {-.568014E+00, 0.586524E+00},
{-.568148E+00, 0.586392E+00}, {-.568292E+00, 0.586251E+00},
{-.568444E+00, 0.586100E+00}, {-.568606E+00, 0.585941E+00},
{-.568776E+00, 0.585774E+00}, {-.568955E+00, 0.585597E+00},
{-.569142E+00, 0.585413E+00}, {-.569338E+00, 0.585220E+00},
{-.569541E+00, 0.585019E+00}, {-.569752E+00, 0.584811E+00},
{-.569971E+00, 0.584594E+00}, {-.570198E+00, 0.584371E+00},
{-.570431E+00, 0.584140E+00}, {-.570671E+00, 0.583903E+00},
{-.570918E+00, 0.583659E+00}, {-.571172E+00, 0.583408E+00},
{-.571431E+00, 0.583151E+00}, {-.571697E+00, 0.582889E+00},
{-.571967E+00, 0.582620E+00}, {-.572244E+00, 0.582346E+00},
{-.572525E+00, 0.582067E+00}, {-.572811E+00, 0.581784E+00},
{-.573102E+00, 0.581495E+00}, {-.573396E+00, 0.581203E+00},
{-.573695E+00, 0.580906E+00}, {-.573997E+00, 0.580606E+00},
{-.574303E+00, 0.580302E+00}, {-.574611E+00, 0.579995E+00},
{-.574922E+00, 0.579685E+00}, {-.575235E+00, 0.579373E+00},
{-.575550E+00, 0.579059E+00}, {-.575867E+00, 0.578743E+00},
{-.576186E+00, 0.578425E+00}, {-.576505E+00, 0.578106E+00},
{-.576825E+00, 0.577787E+00}, {-.577146E+00, 0.577466E+00},
{-.577466E+00, 0.577146E+00}, {-.577787E+00, 0.576825E+00},
{-.578106E+00, 0.576505E+00}, {-.578425E+00, 0.576186E+00},
{-.578743E+00, 0.575867E+00}, {-.579059E+00, 0.575550E+00},
{-.579373E+00, 0.575235E+00}, {-.579685E+00, 0.574922E+00},
{-.579995E+00, 0.574611E+00}, {-.580302E+00, 0.574303E+00},
{-.580606E+00, 0.573997E+00}, {-.580906E+00, 0.573695E+00},
{-.581203E+00, 0.573396E+00}, {-.581495E+00, 0.573102E+00},
{-.581784E+00, 0.572811E+00}, {-.582067E+00, 0.572525E+00},
{-.582346E+00, 0.572244E+00}, {-.582620E+00, 0.571967E+00},
{-.582889E+00, 0.571697E+00}, {-.583151E+00, 0.571431E+00},
{-.583408E+00, 0.571172E+00}, {-.583659E+00, 0.570918E+00},
{-.583903E+00, 0.570671E+00}, {-.584140E+00, 0.570431E+00},
{-.584371E+00, 0.570198E+00}, {-.584594E+00, 0.569971E+00},
{-.584811E+00, 0.569752E+00}, {-.585019E+00, 0.569541E+00},
{-.585220E+00, 0.569338E+00}, {-.585413E+00, 0.569142E+00},
{-.585597E+00, 0.568955E+00}, {-.585774E+00, 0.568776E+00},
{-.585941E+00, 0.568606E+00}, {-.586100E+00, 0.568444E+00},
{-.586251E+00, 0.568292E+00}, {-.586392E+00, 0.568148E+00},
{-.586524E+00, 0.568014E+00}, {-.586647E+00, 0.567889E+00},
{-.586760E+00, 0.567774E+00}, {-.586864E+00, 0.567668E+00},
{-.586959E+00, 0.567572E+00}, {-.587043E+00, 0.567486E+00},
{-.587118E+00, 0.567410E+00}, {-.587183E+00, 0.567343E+00},
{-.587239E+00, 0.567287E+00}, {-.587284E+00, 0.567241E+00},
{-.587319E+00, 0.567205E+00}, {-.587344E+00, 0.567180E+00},
{-.587359E+00, 0.567164E+00}, {-.587364E+00, 0.567159E+00},
},
{
{-.561995E+00, 0.592308E+00}, {-.562002E+00, 0.592301E+00},
{-.562026E+00, 0.592278E+00}, {-.562064E+00, 0.592240E+00},
{-.562118E+00, 0.592188E+00}, {-.562187E+00, 0.592120E+00},
{-.562272E+00, 0.592038E+00}, {-.562372E+00, 0.591941E+00},
{-.562487E+00, 0.591829E+00}, {-.562616E+00, 0.591702E+00},
{-.562761E+00, 0.591561E+00}, {-.562920E+00, 0.591406E+00},
{-.563094E+00, 0.591236E+00}, {-.563282E+00, 0.591053E+00},
{-.563484E+00, 0.590855E+00}, {-.563700E+00, 0.590644E+00},
{-.563930E+00, 0.590420E+00}, {-.564173E+00, 0.590182E+00},
{-.564430E+00, 0.589931E+00}, {-.564699E+00, 0.589668E+00},
{-.564981E+00, 0.589392E+00}, {-.565275E+00, 0.589103E+00},
{-.565582E+00, 0.588803E+00}, {-.565900E+00, 0.588491E+00},
{-.566229E+00, 0.588168E+00}, {-.566570E+00, 0.587834E+00},
{-.566921E+00, 0.587489E+00}, {-.567283E+00, 0.587134E+00},
{-.567654E+00, 0.586768E+00}, {-.568035E+00, 0.586393E+00},
{-.568426E+00, 0.586009E+00}, {-.568825E+00, 0.585616E+00},
{-.569232E+00, 0.585214E+00}, {-.569648E+00, 0.584804E+00},
{-.570071E+00, 0.584387E+00}, {-.570501E+00, 0.583962E+00},
{-.570937E+00, 0.583530E+00}, {-.571380E+00, 0.583092E+00},
{-.571829E+00, 0.582647E+00}, {-.572283E+00, 0.582197E+00},
{-.572742E+00, 0.581742E+00}, {-.573205E+00, 0.581283E+00},
{-.573672E+00, 0.580819E+00}, {-.574142E+00, 0.580351E+00},
{-.574616E+00, 0.579880E+00}, {-.575092E+00, 0.579406E+00},
{-.575570E+00, 0.578930E+00}, {-.576049E+00, 0.578451E+00},
{-.576529E+00, 0.577972E+00}, {-.577010E+00, 0.577491E+00},
{-.577491E+00, 0.577010E+00}, {-.577972E+00, 0.576529E+00},
{-.578451E+00, 0.576049E+00}, {-.578930E+00, 0.575570E+00},
{-.579406E+00, 0.575092E+00}, {-.579880E+00, 0.574616E+00},
{-.580351E+00, 0.574142E+00}, {-.580819E+00, 0.573672E+00},
{-.581283E+00, 0.573205E+00}, {-.581742E+00, 0.572742E+00},
{-.582197E+00, 0.572283E+00}, {-.582647E+00, 0.571829E+00},
{-.583092E+00, 0.571380E+00}, {-.583530E+00, 0.570937E+00},
{-.583962E+00, 0.570501E+00}, {-.584387E+00, 0.570071E+00},
{-.584804E+00, 0.569648E+00}, {-.585214E+00, 0.569232E+00},
{-.585616E+00, 0.568825E+00}, {-.586009E+00, 0.568426E+00},
{-.586393E+00, 0.568035E+00}, {-.586768E+00, 0.567654E+00},
{-.587134E+00, 0.567283E+00}, {-.587489E+00, 0.566921E+00},
{-.587834E+00, 0.566570E+00}, {-.588168E+00, 0.566229E+00},
{-.588491E+00, 0.565900E+00}, {-.588803E+00, 0.565582E+00},
{-.589103E+00, 0.565275E+00}, {-.589392E+00, 0.564981E+00},
{-.589668E+00, 0.564699E+00}, {-.589931E+00, 0.564430E+00},
{-.590182E+00, 0.564173E+00}, {-.590420E+00, 0.563930E+00},
{-.590644E+00, 0.563700E+00}, {-.590855E+00, 0.563484E+00},
{-.591053E+00, 0.563282E+00}, {-.591236E+00, 0.563094E+00},
{-.591406E+00, 0.562920E+00}, {-.591561E+00, 0.562761E+00},
{-.591702E+00, 0.562616E+00}, {-.591829E+00, 0.562487E+00},
{-.591941E+00, 0.562372E+00}, {-.592038E+00, 0.562272E+00},
{-.592120E+00, 0.562187E+00}, {-.592188E+00, 0.562118E+00},
{-.592240E+00, 0.562064E+00}, {-.592278E+00, 0.562026E+00},
{-.592301E+00, 0.562002E+00}, {-.592308E+00, 0.561995E+00},
},
{
{-.556782E+00, 0.597211E+00}, {-.556792E+00, 0.597201E+00},
{-.556824E+00, 0.597171E+00}, {-.556875E+00, 0.597121E+00},
{-.556948E+00, 0.597051E+00}, {-.557040E+00, 0.596961E+00},
{-.557154E+00, 0.596852E+00}, {-.557287E+00, 0.596723E+00},
{-.557441E+00, 0.596574E+00}, {-.557615E+00, 0.596406E+00},
{-.557809E+00, 0.596219E+00}, {-.558022E+00, 0.596013E+00},
{-.558255E+00, 0.595787E+00}, {-.558506E+00, 0.595544E+00},
{-.558777E+00, 0.595281E+00}, {-.559066E+00, 0.595001E+00},
{-.559374E+00, 0.594703E+00}, {-.559700E+00, 0.594387E+00},
{-.560043E+00, 0.594054E+00}, {-.560403E+00, 0.593704E+00},
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},
{
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},
{
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{-.701480E+00, -.701472E+00}, {-.723742E+00, -.723730E+00},
{-.745270E+00, -.745262E+00}, {-.766048E+00, -.766042E+00},
{-.786055E+00, -.786048E+00}, {-.805275E+00, -.805268E+00},
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{-.857985E+00, -.857979E+00}, {-.873852E+00, -.873844E+00},
{-.888838E+00, -.888831E+00}, {-.902929E+00, -.902921E+00},
{-.916111E+00, -.916103E+00}, {-.928372E+00, -.928366E+00},
{-.939697E+00, -.939690E+00}, {-.950074E+00, -.950070E+00},
{-.959496E+00, -.959492E+00}, {-.967950E+00, -.967946E+00},
{-.975432E+00, -.975428E+00}, {-.981931E+00, -.981927E+00},
{-.987441E+00, -.987438E+00}, {-.991957E+00, -.991954E+00},
{-.995474E+00, -.995471E+00}, {-.997987E+00, -.997985E+00},
{-.999497E+00, -.999496E+00}, {-.100000E+01, -.100000E+01},
},
};
#endif /* #define RT_RIEMANN_HLL_EIGENVALUES_H */