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/* |
/* |
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* The MIT License |
* The MIT License |
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Conograph (powder auto-indexing program) |
BLDConograph (Bravais lattice determination module in Conograph) |
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Copyright (c) <2012> <Ryoko Oishi-Tomiyasu, KEK> |
Copyright (c) <2012> <Ryoko Oishi-Tomiyasu, KEK> |
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THE SOFTWARE. |
THE SOFTWARE. |
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* |
* |
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*/ |
*/ |
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#include "../utility_func/chToDouble.hh" |
#include <limits> |
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#include "../utility_lattice_reduction/put_Minkowski_reduced_lattice.hh" |
#include "../utility_lattice_reduction/put_Buerger_reduced_lattice.hh" |
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#include "OutputInfo.hh" |
#include "check_equiv.hh" |
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#include "ReducedLatticeToCheckBravais.hh" |
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#include "LatticeFigureOfMeritToCheckSymmetry.hh" |
#include "LatticeFigureOfMeritToCheckSymmetry.hh" |
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const string LatticeFigureOfMeritToCheckSymmetry::CS_LABEL[NUM_LS] = |
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{ "01", "02", "03", "04", "05", "06", "07", "08", "09", "10", "11", "12", "13", "14" }; |
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// default c'tor for GUI |
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LatticeFigureOfMeritToCheckSymmetry::LatticeFigureOfMeritToCheckSymmetry() |
LatticeFigureOfMeritToCheckSymmetry::LatticeFigureOfMeritToCheckSymmetry() |
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: m_label(-1), |
: m_S_red( SymMat43_Double( SymMat<Double>(3), NRMat<Int4>(4,3) ) ) |
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m_S_red( SymMat43_VCData( SymMat<VCData>(3), NRMat<Int4>(4,3) ) ) |
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{ |
{ |
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m_num_lattice_found = 0; |
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} |
} |
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LatticeFigureOfMeritToCheckSymmetry::LatticeFigureOfMeritToCheckSymmetry(const Double& rhs) |
LatticeFigureOfMeritToCheckSymmetry::LatticeFigureOfMeritToCheckSymmetry(const Double& rhs) |
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: m_label(-1), m_latfom(rhs), |
: m_latfom(rhs), |
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m_S_red( SymMat43_VCData( SymMat<VCData>(3), NRMat<Int4>(4,3) ) ) |
m_S_red( SymMat43_Double( SymMat<Double>(3), NRMat<Int4>(4,3) ) ) |
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{ |
{ |
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} |
} |
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LatticeFigureOfMeritToCheckSymmetry::LatticeFigureOfMeritToCheckSymmetry(const BravaisType& brat, |
LatticeFigureOfMeritToCheckSymmetry::LatticeFigureOfMeritToCheckSymmetry(const BravaisType& brat, |
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const SymMat43_VCData& S, |
const SymMat43_Double& S) |
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const ePeakShiftFunctionType& type, |
: m_S_red( SymMat43_Double( SymMat<Double>(3), NRMat<Int4>(4,3) ) ) |
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const Double& wave_length, |
{ |
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const vector<ZParawError>& peak_shift_param_rad) |
setLatticeConstants43(brat, S); |
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: m_label(-1), |
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m_S_red( SymMat43_VCData( SymMat<VCData>(3), NRMat<Int4>(4,3) ) ) |
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{ |
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this->setLatticeConstants43(brat, S); |
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m_latfom.setPeakShiftParamRadian(type, wave_length, peak_shift_param_rad); |
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m_num_lattice_found = 0; |
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} |
} |
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#ifdef DEBUG |
#ifdef DEBUG |
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static bool checkInitialLatticeParameters( |
static bool checkInitialLatticeParameters( |
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const BravaisType& brat, |
const BravaisType& brat, |
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const SymMat43_VCData& S_red) |
const SymMat43_Double& S_red) |
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{ |
{ |
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const SymMat<Double> dbl_S_red( chToDouble(S_red.first) ); |
const SymMat<Double> dbl_S_red( S_red.first ); |
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if( brat.enumLaueGroup() == Ci && brat.enumBravaisLattice() == Prim ) |
if( brat.enumLaueGroup() == Ci && brat.enumCentringType() == Prim ) |
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{ |
{ |
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assert( dbl_S_red(2,2)*0.9999 < dbl_S_red(1,1) && dbl_S_red(1,1)*0.9999 < dbl_S_red(0,0) |
assert( dbl_S_red(2,2)*0.9999 < dbl_S_red(1,1) && dbl_S_red(1,1)*0.9999 < dbl_S_red(0,0) |
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&& fabs( dbl_S_red(0,1) ) * 1.9999 < dbl_S_red(1,1) |
&& fabs( dbl_S_red(0,1) ) * 1.9999 < dbl_S_red(1,1) |
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&& fabs( dbl_S_red(0,2) ) * 1.9999 < dbl_S_red(2,2) |
&& fabs( dbl_S_red(0,2) ) * 1.9999 < dbl_S_red(2,2) |
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&& fabs( dbl_S_red(1,2) ) * 1.9999 < dbl_S_red(2,2) ); |
&& fabs( dbl_S_red(1,2) ) * 1.9999 < dbl_S_red(2,2) ); |
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} |
} |
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else if( brat.enumLaueGroup() == C2h_Y && brat.enumBravaisLattice() == Prim ) |
else if( brat.enumLaueGroup() == C2h_Y && brat.enumCentringType() == Prim ) |
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{ |
{ |
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assert( 0.0 <= dbl_S_red(0,2) && dbl_S_red(2,2)*0.9999 < dbl_S_red(0,0) |
assert( 0.0 <= dbl_S_red(0,2) && dbl_S_red(2,2)*0.9999 < dbl_S_red(0,0) |
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&& fabs( dbl_S_red(0,2) ) * 1.9999 < dbl_S_red(2,2) && fabs( dbl_S_red(0,2) ) * 1.9999 < dbl_S_red(0,0) ); |
&& fabs( dbl_S_red(0,2) ) * 1.9999 < dbl_S_red(2,2) && fabs( dbl_S_red(0,2) ) * 1.9999 < dbl_S_red(0,0) ); |
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} |
} |
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else if( brat.enumLaueGroup() == C2h_Z && brat.enumBravaisLattice() == Prim ) |
else if( brat.enumLaueGroup() == C2h_Z && brat.enumCentringType() == Prim ) |
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{ |
{ |
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assert( 0.0 <= dbl_S_red(0,1) && dbl_S_red(1,1)*0.9999 < dbl_S_red(0,0) |
assert( 0.0 <= dbl_S_red(0,1) && dbl_S_red(1,1)*0.9999 < dbl_S_red(0,0) |
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&& fabs( dbl_S_red(0,1) ) * 1.9999 < dbl_S_red(0,0) && fabs( dbl_S_red(0,1) ) * 1.9999 < dbl_S_red(1,1) ); |
&& fabs( dbl_S_red(0,1) ) * 1.9999 < dbl_S_red(0,0) && fabs( dbl_S_red(0,1) ) * 1.9999 < dbl_S_red(1,1) ); |
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} |
} |
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else if( brat.enumLaueGroup() == C2h_X && brat.enumBravaisLattice() == Prim ) |
else if( brat.enumLaueGroup() == C2h_X && brat.enumCentringType() == Prim ) |
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{ |
{ |
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assert( 0.0 <= dbl_S_red(1,2) && dbl_S_red(2,2)*0.9999 < dbl_S_red(1,1) |
assert( 0.0 <= dbl_S_red(1,2) && dbl_S_red(2,2)*0.9999 < dbl_S_red(1,1) |
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&& fabs( dbl_S_red(1,2) ) * 1.9999 < dbl_S_red(1,1) && fabs( dbl_S_red(1,2) ) * 1.9999 < dbl_S_red(2,2) ); |
&& fabs( dbl_S_red(1,2) ) * 1.9999 < dbl_S_red(1,1) && fabs( dbl_S_red(1,2) ) * 1.9999 < dbl_S_red(2,2) ); |
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} |
} |
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else if( brat.enumLaueGroup() == C2h_Y && brat.enumBravaisLattice() == BaseZ ) |
else if( brat.enumLaueGroup() == C2h_Y && brat.enumCentringType() == BaseZ ) |
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{ |
{ |
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assert( 0.0 <= dbl_S_red(0,2) && fabs( dbl_S_red(0,2) ) * 1.9999 < dbl_S_red(2,2) && fabs( dbl_S_red(0,2) ) * 0.9999 < dbl_S_red(0,0) ); |
assert( 0.0 <= dbl_S_red(0,2) && fabs( dbl_S_red(0,2) ) * 1.9999 < dbl_S_red(2,2) && fabs( dbl_S_red(0,2) ) * 0.9999 < dbl_S_red(0,0) ); |
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} |
} |
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else if( brat.enumLaueGroup() == C2h_Z && brat.enumBravaisLattice() == BaseX ) |
else if( brat.enumLaueGroup() == C2h_Z && brat.enumCentringType() == BaseX ) |
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{ |
{ |
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assert( 0.0 <= dbl_S_red(0,1) && fabs( dbl_S_red(0,1) ) * 1.9999 < dbl_S_red(0,0) && fabs( dbl_S_red(0,1) ) * 0.9999 < dbl_S_red(1,1) ); |
assert( 0.0 <= dbl_S_red(0,1) && fabs( dbl_S_red(0,1) ) * 1.9999 < dbl_S_red(0,0) && fabs( dbl_S_red(0,1) ) * 0.9999 < dbl_S_red(1,1) ); |
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} |
} |
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else if( brat.enumLaueGroup() == C2h_X && brat.enumBravaisLattice() == BaseY ) |
else if( brat.enumLaueGroup() == C2h_X && brat.enumCentringType() == BaseY ) |
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{ |
{ |
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assert( 0.0 <= dbl_S_red(1,2) && fabs( dbl_S_red(1,2) ) * 1.9999 < dbl_S_red(1,1) && fabs( dbl_S_red(1,2) ) * 0.9999 < dbl_S_red(2,2) ); |
assert( 0.0 <= dbl_S_red(1,2) && fabs( dbl_S_red(1,2) ) * 1.9999 < dbl_S_red(1,1) && fabs( dbl_S_red(1,2) ) * 0.9999 < dbl_S_red(2,2) ); |
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} |
} |
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else if( brat.enumLaueGroup() == D2h |
else if( brat.enumLaueGroup() == D2h |
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&& brat.enumBravaisLattice() != BaseX |
&& brat.enumCentringType() != BaseX |
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&& brat.enumBravaisLattice() != BaseY |
&& brat.enumCentringType() != BaseY |
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&& brat.enumBravaisLattice() != BaseZ ) |
&& brat.enumCentringType() != BaseZ ) |
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{ |
{ |
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assert( dbl_S_red(2,2)*0.9999 < dbl_S_red(1,1) && dbl_S_red(1,1)*0.9999 < dbl_S_red(0,0) ); |
assert( dbl_S_red(2,2)*0.9999 < dbl_S_red(1,1) && dbl_S_red(1,1)*0.9999 < dbl_S_red(0,0) ); |
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} |
} |
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const SymMat<VCData> S_super = transform_sym_matrix(S_red.second, S_red.first); |
const SymMat<Double> S_super = transform_sym_matrix(S_red.second, S_red.first); |
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assert( S_super(0,1) <= VCData() |
assert( S_super(0,1) <= 0.0 |
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&& S_super(0,2) <= VCData() |
&& S_super(0,2) <= 0.0 |
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&& S_super(0,3) <= VCData() |
&& S_super(0,3) <= 0.0 |
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&& S_super(1,2) <= VCData() |
&& S_super(1,2) <= 0.0 |
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&& S_super(1,3) <= VCData() |
&& S_super(1,3) <= 0.0 |
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&& S_super(2,3) <= VCData() ); |
&& S_super(2,3) <= 0.0 ); |
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SymMat<VCData> S_red_cp = S_red.first; |
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cal_average_crystal_system(brat.enumLaueGroup(), S_red_cp); |
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assert( S_red.first(0,0).putVecCoef() == S_red_cp(0,0).putVecCoef() ); |
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assert( S_red.first(1,1).putVecCoef() == S_red_cp(1,1).putVecCoef() ); |
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assert( S_red.first(2,2).putVecCoef() == S_red_cp(2,2).putVecCoef() ); |
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assert( S_red.first(0,1).putVecCoef() == S_red_cp(0,1).putVecCoef() ); |
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assert( S_red.first(0,2).putVecCoef() == S_red_cp(0,2).putVecCoef() ); |
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assert( S_red.first(1,2).putVecCoef() == S_red_cp(1,2).putVecCoef() ); |
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return true; |
return true; |
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} |
} |
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#endif |
#endif |
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void LatticeFigureOfMeritToCheckSymmetry::setLatticeConstants43(const BravaisType& brat, const SymMat43_VCData& S) |
void LatticeFigureOfMeritToCheckSymmetry::setLatticeConstants43(const BravaisType& brat, const SymMat43_Double& S) |
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{ |
{ |
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m_S_red = S; |
m_S_red = S; |
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assert( checkInitialLatticeParameters(brat, m_S_red) ); |
assert( checkInitialLatticeParameters(brat, m_S_red) ); |
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m_latfom.setLatticeConstants43(brat, SymMat43_Double(chToDouble(m_S_red.first), m_S_red.second)); |
m_latfom.setLatticeConstants43(brat, S); |
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m_num_lattice_found = 0; |
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// for(Int4 i=0; i<NUM_LS; i++) m_lattice_equiv[i].clear(); |
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} |
} |
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static bool operator<(const SymMat<Double>& lhs, const SymMat<Double>& rhs) |
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{ |
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static const Double EPS_1 = 1.0+sqrt( numeric_limits<double>::epsilon() ); |
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assert( lhs.size() == 3 ); |
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assert( rhs.size() == 3 ); |
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static const Int4 ISIZE = 3; |
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for(Int4 i=0; i<ISIZE; i++) |
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{ |
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if( lhs(i,i)*EPS_1 < rhs(i,i) ) return true; |
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if( rhs(i,i)*EPS_1 < lhs(i,i) ) return false; |
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for(Int4 j=0; j<i; j++) |
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{ |
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const Double lhs_ij = lhs(i,i)+lhs(j,j)+lhs(i,j)*2.0; |
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const Double rhs_ij = rhs(i,i)+rhs(j,j)+rhs(i,j)*2.0; |
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if( lhs_ij*EPS_1 < rhs_ij ) return true; |
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if( rhs_ij*EPS_1 < lhs_ij ) return false; |
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} |
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} |
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return false; |
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} |
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bool LatticeFigureOfMeritToCheckSymmetry::checkIfLatticeIsMonoclinic(const ePointGroup& epg_new, |
bool LatticeFigureOfMeritToCheckSymmetry::checkIfLatticeIsMonoclinic(const ePointGroup& epg_new, |
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const Double& cv2, |
const Double& resol, |
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map< SymMat<VCData>, NRMat<Int4> >& ans) const |
map< SymMat<Double>, NRMat<Int4> >& ans) const |
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{ |
{ |
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ans.clear(); |
ans.clear(); |
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SymMat<VCData> ans0 = m_S_red.first; |
SymMat<Double> ans0 = m_S_red.first; |
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cal_average_crystal_system(C2h_X, ans0); |
cal_average_crystal_system(C2h_X, ans0); |
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SymMat<VCData> S_red(3); |
SymMat<Double> S_red(3); |
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NRMat<Int4> trans_mat2; |
NRMat<Int4> trans_mat2; |
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if( check_equiv_m(ans0, m_S_red.first, cv2 ) ) |
if( check_equiv_m(ans0, m_S_red.first, resol ) ) |
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{ |
{ |
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if( epg_new == C2h_X ) |
if( epg_new == C2h_X ) |
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{ |
{ |
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S_red = ans0; |
S_red = ans0; |
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trans_mat2 = m_S_red.second; |
trans_mat2 = m_S_red.second; |
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putMinkowskiReducedMonoclinicP(1, 2, S_red, trans_mat2); |
putBuergerReducedMonoclinicP(1, 2, S_red, trans_mat2); |
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} |
} |
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else if( epg_new == C2h_Y ) |
else if( epg_new == C2h_Y ) |
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{ |
{ |
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S_red = transform_sym_matrix(put_matrix_YXZ(), ans0); |
S_red = transform_sym_matrix(put_matrix_YXZ(), ans0); |
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trans_mat2 = mprod(m_S_red.second, put_matrix_YXZ()); |
trans_mat2 = mprod(m_S_red.second, put_matrix_YXZ()); |
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putMinkowskiReducedMonoclinicP(0, 2, S_red, trans_mat2); |
putBuergerReducedMonoclinicP(0, 2, S_red, trans_mat2); |
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} |
} |
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else // if( epg_new == C2h_Z ) |
else // if( epg_new == C2h_Z ) |
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{ |
{ |
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S_red = transform_sym_matrix(put_matrix_YZX(), ans0); |
S_red = transform_sym_matrix(put_matrix_YZX(), ans0); |
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trans_mat2 = mprod(m_S_red.second, put_matrix_ZXY()); |
trans_mat2 = mprod(m_S_red.second, put_matrix_ZXY()); |
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putMinkowskiReducedMonoclinicP(0, 1, S_red, trans_mat2); |
putBuergerReducedMonoclinicP(0, 1, S_red, trans_mat2); |
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} |
} |
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ans.insert( SymMat43_VCData( S_red, trans_mat2) ); |
ans.insert( SymMat43_Double( S_red, trans_mat2) ); |
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} |
} |
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ans0 = m_S_red.first; |
ans0 = m_S_red.first; |
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cal_average_crystal_system(C2h_Y, ans0); |
cal_average_crystal_system(C2h_Y, ans0); |
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if( check_equiv_m(ans0, m_S_red.first, cv2 ) ) |
if( check_equiv_m(ans0, m_S_red.first, resol ) ) |
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{ |
{ |
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if( epg_new == C2h_X ) |
if( epg_new == C2h_X ) |
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{ |
{ |
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S_red = transform_sym_matrix(put_matrix_YXZ(), ans0); |
S_red = transform_sym_matrix(put_matrix_YXZ(), ans0); |
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trans_mat2 = mprod(m_S_red.second, put_matrix_YXZ()); |
trans_mat2 = mprod(m_S_red.second, put_matrix_YXZ()); |
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putMinkowskiReducedMonoclinicP(1, 2, S_red, trans_mat2); |
putBuergerReducedMonoclinicP(1, 2, S_red, trans_mat2); |
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} |
} |
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else if( epg_new == C2h_Y ) |
else if( epg_new == C2h_Y ) |
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{ |
{ |
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S_red = ans0; |
S_red = ans0; |
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trans_mat2 = m_S_red.second; |
trans_mat2 = m_S_red.second; |
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putMinkowskiReducedMonoclinicP(0, 2, S_red, trans_mat2); |
putBuergerReducedMonoclinicP(0, 2, S_red, trans_mat2); |
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} |
} |
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else // if( epg_new == C2h_Z ) |
else // if( epg_new == C2h_Z ) |
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{ |
{ |
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S_red = transform_sym_matrix(put_matrix_XZY(), ans0); |
S_red = transform_sym_matrix(put_matrix_XZY(), ans0); |
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trans_mat2 = mprod(m_S_red.second, put_matrix_XZY()); |
trans_mat2 = mprod(m_S_red.second, put_matrix_XZY()); |
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putMinkowskiReducedMonoclinicP(0, 1, S_red, trans_mat2); |
putBuergerReducedMonoclinicP(0, 1, S_red, trans_mat2); |
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} |
} |
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ans.insert( SymMat43_VCData( S_red, trans_mat2) ); |
ans.insert( SymMat43_Double( S_red, trans_mat2) ); |
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} |
} |
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ans0 = m_S_red.first; |
ans0 = m_S_red.first; |
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cal_average_crystal_system(C2h_Z, ans0); |
cal_average_crystal_system(C2h_Z, ans0); |
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if( check_equiv_m(ans0, m_S_red.first, cv2 ) ) |
if( check_equiv_m(ans0, m_S_red.first, resol ) ) |
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{ |
{ |
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if( epg_new == C2h_X ) |
if( epg_new == C2h_X ) |
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{ |
{ |
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S_red = transform_sym_matrix(put_matrix_ZXY(), ans0); |
S_red = transform_sym_matrix(put_matrix_ZXY(), ans0); |
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trans_mat2 = mprod(m_S_red.second, put_matrix_YZX()); |
trans_mat2 = mprod(m_S_red.second, put_matrix_YZX()); |
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putMinkowskiReducedMonoclinicP(1, 2, S_red, trans_mat2); |
putBuergerReducedMonoclinicP(1, 2, S_red, trans_mat2); |
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} |
} |
| 223 |
else if( epg_new == C2h_Y ) |
else if( epg_new == C2h_Y ) |
| 224 |
{ |
{ |
| 225 |
S_red = transform_sym_matrix(put_matrix_XZY(), ans0); |
S_red = transform_sym_matrix(put_matrix_XZY(), ans0); |
| 226 |
trans_mat2 = mprod(m_S_red.second, put_matrix_XZY()); |
trans_mat2 = mprod(m_S_red.second, put_matrix_XZY()); |
| 227 |
putMinkowskiReducedMonoclinicP(0, 2, S_red, trans_mat2); |
putBuergerReducedMonoclinicP(0, 2, S_red, trans_mat2); |
| 228 |
} |
} |
| 229 |
else // if( epg_new == C2h_Z ) |
else // if( epg_new == C2h_Z ) |
| 230 |
{ |
{ |
| 231 |
S_red = ans0; |
S_red = ans0; |
| 232 |
trans_mat2 = m_S_red.second; |
trans_mat2 = m_S_red.second; |
| 233 |
putMinkowskiReducedMonoclinicP(0, 1, S_red, trans_mat2); |
putBuergerReducedMonoclinicP(0, 1, S_red, trans_mat2); |
| 234 |
} |
} |
| 235 |
ans.insert( SymMat43_VCData( S_red, trans_mat2) ); |
ans.insert( SymMat43_Double( S_red, trans_mat2) ); |
| 236 |
} |
} |
| 237 |
|
|
| 238 |
return !( ans.empty() ); |
return !( ans.empty() ); |
| 239 |
} |
} |
| 240 |
|
|
| 241 |
|
|
| 242 |
bool LatticeFigureOfMeritToCheckSymmetry::checkIfLatticeIsOrthorhombic(const Double& cv2, |
bool LatticeFigureOfMeritToCheckSymmetry::checkIfLatticeIsOrthorhombic(const Double& resol, |
| 243 |
map< SymMat<VCData>, NRMat<Int4> >& ans) const |
map< SymMat<Double>, NRMat<Int4> >& ans) const |
| 244 |
{ |
{ |
| 245 |
ans.clear(); |
ans.clear(); |
| 246 |
|
|
| 247 |
const BravaisType& brat = m_latfom.putBravaisType(); |
const BravaisType& brat = m_latfom.putBravaisType(); |
| 248 |
|
|
| 249 |
SymMat<VCData> ans0 = m_S_red.first; |
SymMat<Double> ans0 = m_S_red.first; |
| 250 |
cal_average_crystal_system(D2h, ans0); |
cal_average_crystal_system(D2h, ans0); |
| 251 |
if( check_equiv_m(ans0, m_S_red.first, cv2 ) ) |
if( check_equiv_m(ans0, m_S_red.first, resol ) ) |
| 252 |
{ |
{ |
| 253 |
if( brat.enumBravaisLattice() == BaseX ) |
if( brat.enumCentringType() == BaseX ) |
| 254 |
{ |
{ |
| 255 |
if( ans0(1,1) < ans0(2,2) ) |
if( ans0(1,1) < ans0(2,2) ) |
| 256 |
{ |
{ |
| 257 |
ans.insert( SymMat43_VCData( transform_sym_matrix(put_matrix_ZYX(), ans0), mprod( m_S_red.second, put_matrix_ZYX() ) ) ); |
ans.insert( SymMat43_Double( transform_sym_matrix(put_matrix_ZYX(), ans0), mprod( m_S_red.second, put_matrix_ZYX() ) ) ); |
| 258 |
} |
} |
| 259 |
else |
else |
| 260 |
{ |
{ |
| 261 |
ans.insert( SymMat43_VCData( transform_sym_matrix(put_matrix_YZX(), ans0), mprod( m_S_red.second, put_matrix_ZXY() ) ) ); |
ans.insert( SymMat43_Double( transform_sym_matrix(put_matrix_YZX(), ans0), mprod( m_S_red.second, put_matrix_ZXY() ) ) ); |
| 262 |
} |
} |
| 263 |
} |
} |
| 264 |
else if( brat.enumBravaisLattice() == BaseY ) |
else if( brat.enumCentringType() == BaseY ) |
| 265 |
{ |
{ |
| 266 |
if( ans0(0,0) < ans0(2,2) ) |
if( ans0(0,0) < ans0(2,2) ) |
| 267 |
{ |
{ |
| 268 |
ans.insert( SymMat43_VCData( transform_sym_matrix(put_matrix_ZXY(), ans0), mprod( m_S_red.second, put_matrix_YZX() ) ) ); |
ans.insert( SymMat43_Double( transform_sym_matrix(put_matrix_ZXY(), ans0), mprod( m_S_red.second, put_matrix_YZX() ) ) ); |
| 269 |
} |
} |
| 270 |
else |
else |
| 271 |
{ |
{ |
| 272 |
ans.insert( SymMat43_VCData( transform_sym_matrix(put_matrix_XZY(), ans0), mprod( m_S_red.second, put_matrix_XZY() ) ) ); |
ans.insert( SymMat43_Double( transform_sym_matrix(put_matrix_XZY(), ans0), mprod( m_S_red.second, put_matrix_XZY() ) ) ); |
| 273 |
} |
} |
| 274 |
} |
} |
| 275 |
else if( brat.enumBravaisLattice() == BaseZ ) |
else if( brat.enumCentringType() == BaseZ ) |
| 276 |
{ |
{ |
| 277 |
if( ans0(0,0) < ans0(1,1) ) |
if( ans0(0,0) < ans0(1,1) ) |
| 278 |
{ |
{ |
| 279 |
ans.insert( SymMat43_VCData( transform_sym_matrix(put_matrix_YXZ(), ans0), mprod( m_S_red.second, put_matrix_YXZ() ) ) ); |
ans.insert( SymMat43_Double( transform_sym_matrix(put_matrix_YXZ(), ans0), mprod( m_S_red.second, put_matrix_YXZ() ) ) ); |
| 280 |
} |
} |
| 281 |
else |
else |
| 282 |
{ |
{ |
| 283 |
ans.insert( SymMat43_VCData( transform_sym_matrix(put_matrix_XYZ(), ans0), m_S_red.second ) ); |
ans.insert( SymMat43_Double( transform_sym_matrix(put_matrix_XYZ(), ans0), m_S_red.second ) ); |
| 284 |
} |
} |
| 285 |
} |
} |
| 286 |
else |
else |
| 287 |
{ |
{ |
| 288 |
NRMat<Int4> trans_mat = m_S_red.second; |
NRMat<Int4> trans_mat = m_S_red.second; |
| 289 |
putMinkowskiReducedOrthorhombic(brat.enumBravaisLattice(), ans0, trans_mat); |
putBuergerReducedOrthorhombic(brat.enumCentringType(), ans0, trans_mat); |
| 290 |
ans.insert( SymMat43_VCData(ans0, trans_mat ) ); |
ans.insert( SymMat43_Double(ans0, trans_mat ) ); |
| 291 |
} |
} |
| 292 |
return true; |
return true; |
| 293 |
} |
} |
| 295 |
} |
} |
| 296 |
|
|
| 297 |
|
|
| 298 |
bool LatticeFigureOfMeritToCheckSymmetry::checkIfLatticeIsTetragonal(const Double& cv2, |
bool LatticeFigureOfMeritToCheckSymmetry::checkIfLatticeIsTetragonal(const Double& resol, |
| 299 |
map< SymMat<VCData>, NRMat<Int4> >& ans) const |
map< SymMat<Double>, NRMat<Int4> >& ans) const |
| 300 |
{ |
{ |
| 301 |
ans.clear(); |
ans.clear(); |
| 302 |
|
|
| 303 |
SymMat<VCData> ans0 = m_S_red.first; |
SymMat<Double> ans0 = m_S_red.first; |
| 304 |
cal_average_crystal_system(D4h_X, ans0); |
cal_average_crystal_system(D4h_X, ans0); |
| 305 |
if( check_equiv_m(ans0, m_S_red.first, cv2 ) ) |
if( check_equiv_m(ans0, m_S_red.first, resol ) ) |
| 306 |
{ |
{ |
| 307 |
ans.insert( SymMat43_VCData( |
ans.insert( SymMat43_Double( |
| 308 |
transform_sym_matrix(put_matrix_YZX(), ans0), mprod( m_S_red.second, put_matrix_ZXY() ) ) ); |
transform_sym_matrix(put_matrix_YZX(), ans0), mprod( m_S_red.second, put_matrix_ZXY() ) ) ); |
| 309 |
} |
} |
| 310 |
|
|
| 311 |
ans0 = m_S_red.first; |
ans0 = m_S_red.first; |
| 312 |
cal_average_crystal_system(D4h_Y, ans0); |
cal_average_crystal_system(D4h_Y, ans0); |
| 313 |
if( check_equiv_m(ans0, m_S_red.first, cv2 ) ) |
if( check_equiv_m(ans0, m_S_red.first, resol ) ) |
| 314 |
{ |
{ |
| 315 |
ans.insert( SymMat43_VCData( |
ans.insert( SymMat43_Double( |
| 316 |
transform_sym_matrix(put_matrix_XZY(), ans0), mprod( m_S_red.second, put_matrix_XZY() ) ) ); |
transform_sym_matrix(put_matrix_XZY(), ans0), mprod( m_S_red.second, put_matrix_XZY() ) ) ); |
| 317 |
} |
} |
| 318 |
|
|
| 319 |
ans0 = m_S_red.first; |
ans0 = m_S_red.first; |
| 320 |
cal_average_crystal_system(D4h_Z, ans0); |
cal_average_crystal_system(D4h_Z, ans0); |
| 321 |
if( check_equiv_m(ans0, m_S_red.first, cv2 ) ) |
if( check_equiv_m(ans0, m_S_red.first, resol ) ) |
| 322 |
{ |
{ |
| 323 |
ans.insert( SymMat43_VCData(ans0, m_S_red.second ) ); |
ans.insert( SymMat43_Double(ans0, m_S_red.second ) ); |
| 324 |
} |
} |
| 325 |
|
|
| 326 |
return !( ans.empty() ); |
return !( ans.empty() ); |
| 329 |
|
|
| 330 |
|
|
| 331 |
|
|
| 332 |
bool LatticeFigureOfMeritToCheckSymmetry::checkIfLatticeIsHexagonal(const ePointGroup& epg_new, const Double& cv2, |
bool LatticeFigureOfMeritToCheckSymmetry::checkIfLatticeIsHexagonal(const ePointGroup& epg_new, const Double& resol, |
| 333 |
map< SymMat<VCData>, NRMat<Int4> >& ans) const |
map< SymMat<Double>, NRMat<Int4> >& ans) const |
| 334 |
{ |
{ |
| 335 |
ans.clear(); |
ans.clear(); |
| 336 |
const BravaisType& brat = m_latfom.putBravaisType(); |
const BravaisType& brat = m_latfom.putBravaisType(); |
| 337 |
|
|
| 338 |
SymMat43_VCData ans2(SymMat<VCData>(3), NRMat<Int4>(3,3)); |
SymMat43_Double ans2(SymMat<Double>(3), NRMat<Int4>(3,3)); |
| 339 |
|
|
| 340 |
if( brat.enumLaueGroup() == C2h_X ) |
if( brat.enumLaueGroup() == C2h_X ) |
| 341 |
{ |
{ |
| 353 |
ans2.second = m_S_red.second; |
ans2.second = m_S_red.second; |
| 354 |
} |
} |
| 355 |
|
|
| 356 |
if( ans2.first(0,1) < VCData() ) |
if( ans2.first(0,1) < 0.0 ) |
| 357 |
{ |
{ |
| 358 |
ans2.first(0,1) *= -1; |
ans2.first(0,1) *= -1; |
| 359 |
ans2.second[0][0] *= -1; |
ans2.second[0][0] *= -1; |
| 361 |
ans2.second[2][0] *= -1; |
ans2.second[2][0] *= -1; |
| 362 |
} |
} |
| 363 |
|
|
| 364 |
SymMat<VCData> ans0 = ans2.first; |
SymMat<Double> ans0 = ans2.first; |
| 365 |
cal_average_crystal_system(epg_new, ans2.first); |
cal_average_crystal_system(epg_new, ans2.first); |
| 366 |
if( check_equiv_m(ans2.first, ans0, cv2 ) ) |
if( check_equiv_m(ans2.first, ans0, resol ) ) |
| 367 |
{ |
{ |
| 368 |
ans.insert( ans2 ); |
ans.insert( ans2 ); |
| 369 |
return true; |
return true; |
| 372 |
} |
} |
| 373 |
|
|
| 374 |
|
|
| 375 |
bool LatticeFigureOfMeritToCheckSymmetry::checkLatticeSymmetry(const ePointGroup& epg_new, const Double& cv2, |
bool LatticeFigureOfMeritToCheckSymmetry::checkLatticeSymmetry(const ePointGroup& epg_new, const Double& resol, |
| 376 |
map< SymMat<VCData>, NRMat<Int4> >& ans) const |
map< SymMat<Double>, NRMat<Int4> >& ans) const |
| 377 |
{ |
{ |
| 378 |
ans.clear(); |
ans.clear(); |
| 379 |
const BravaisType& brat = m_latfom.putBravaisType(); |
const BravaisType& brat = m_latfom.putBravaisType(); |
| 386 |
if( epg_new == C2h_X || epg_new == C2h_Y || epg_new == C2h_Z ) |
if( epg_new == C2h_X || epg_new == C2h_Y || epg_new == C2h_Z ) |
| 387 |
{ |
{ |
| 388 |
assert( brat.enumLaueGroup() == Ci ); |
assert( brat.enumLaueGroup() == Ci ); |
| 389 |
assert( brat.enumBravaisLattice() == Prim ); |
assert( brat.enumCentringType() == Prim ); |
| 390 |
|
|
| 391 |
return checkIfLatticeIsMonoclinic(epg_new, cv2, ans); |
return checkIfLatticeIsMonoclinic(epg_new, resol, ans); |
| 392 |
} |
} |
| 393 |
else if( epg_new == D4h_Z ) |
else if( epg_new == D4h_Z ) |
| 394 |
{ |
{ |
| 395 |
assert( brat.enumLaueGroup() == D2h ); |
assert( brat.enumLaueGroup() == D2h ); |
| 396 |
assert( brat.enumBravaisLattice() == Prim |
assert( brat.enumCentringType() == Prim |
| 397 |
|| brat.enumBravaisLattice() == Inner ); |
|| brat.enumCentringType() == Inner ); |
| 398 |
|
|
| 399 |
return checkIfLatticeIsTetragonal(cv2, ans); |
return checkIfLatticeIsTetragonal(resol, ans); |
| 400 |
} |
} |
| 401 |
else if( epg_new == D2h ) |
else if( epg_new == D2h ) |
| 402 |
{ |
{ |
| 403 |
assert( brat.enumLaueGroup() != Ci || brat.enumBravaisLattice() == Prim ); |
assert( brat.enumLaueGroup() != Ci || brat.enumCentringType() == Prim ); |
| 404 |
assert( brat.enumLaueGroup() != C2h_Z || brat.enumBravaisLattice() == BaseX ); |
assert( brat.enumLaueGroup() != C2h_Z || brat.enumCentringType() == BaseX ); |
| 405 |
assert( brat.enumLaueGroup() != C2h_X || brat.enumBravaisLattice() == BaseY ); |
assert( brat.enumLaueGroup() != C2h_X || brat.enumCentringType() == BaseY ); |
| 406 |
assert( brat.enumLaueGroup() != C2h_Y || brat.enumBravaisLattice() == BaseZ ); |
assert( brat.enumLaueGroup() != C2h_Y || brat.enumCentringType() == BaseZ ); |
| 407 |
assert( brat.enumBravaisLattice() != Rhom_hex ); |
assert( brat.enumCentringType() != Rhom_hex ); |
| 408 |
|
|
| 409 |
return checkIfLatticeIsOrthorhombic(cv2, ans); |
return checkIfLatticeIsOrthorhombic(resol, ans); |
| 410 |
} |
} |
| 411 |
else if( epg_new == D6h ) |
else if( epg_new == D6h ) |
| 412 |
{ |
{ |
| 413 |
assert( brat.enumBravaisLattice() == Prim ); |
assert( brat.enumCentringType() == Prim ); |
| 414 |
assert( brat.enumLaueGroup() == C2h_X |
assert( brat.enumLaueGroup() == C2h_X |
| 415 |
|| brat.enumLaueGroup() == C2h_Y |
|| brat.enumLaueGroup() == C2h_Y |
| 416 |
|| brat.enumLaueGroup() == C2h_Z ); |
|| brat.enumLaueGroup() == C2h_Z ); |
| 417 |
return checkIfLatticeIsHexagonal(epg_new, cv2, ans); |
return checkIfLatticeIsHexagonal(epg_new, resol, ans); |
| 418 |
} |
} |
| 419 |
else |
else |
| 420 |
{ |
{ |
| 421 |
assert( epg_new == Oh ); |
assert( epg_new == Oh ); |
| 422 |
assert( brat.enumBravaisLattice() == Prim |
assert( brat.enumCentringType() == Prim |
| 423 |
|| brat.enumBravaisLattice() == Inner |
|| brat.enumCentringType() == Inner |
| 424 |
|| brat.enumBravaisLattice() == Face ); |
|| brat.enumCentringType() == Face ); |
| 425 |
|
|
| 426 |
SymMat43_VCData ans2 = m_S_red; |
SymMat43_Double ans2 = m_S_red; |
| 427 |
cal_average_crystal_system(epg_new, ans2.first); |
cal_average_crystal_system(epg_new, ans2.first); |
| 428 |
if( check_equiv_m(ans2.first, m_S_red.first, cv2 ) ) |
if( check_equiv_m(ans2.first, m_S_red.first, resol ) ) |
| 429 |
{ |
{ |
| 430 |
ans.insert( ans2 ); |
ans.insert( ans2 ); |
| 431 |
return true; |
return true; |
| 435 |
} |
} |
| 436 |
|
|
| 437 |
|
|
| 438 |
void LatticeFigureOfMeritToCheckSymmetry::putEquivalentLatticeConstantsDegreeWithOtherCentring( |
void LatticeFigureOfMeritToCheckSymmetry::putLatticesOfHigherSymmetry( |
| 439 |
const eABCaxis& abc_axis, const eRHaxis& rh_axis, |
const ePointGroup& epg, const Double& resol, |
| 440 |
vector< pair< eCrystalSystem, SymMat<Double> > >& ans) const |
vector<LatticeFigureOfMeritToCheckSymmetry>& lattice_result) const |
| 441 |
{ |
{ |
| 442 |
ans.clear(); |
lattice_result.clear(); |
| 443 |
|
map< SymMat<Double>, NRMat<Int4> > S_red_tray; |
| 444 |
|
if( !this->checkLatticeSymmetry(epg, resol, S_red_tray) ) return; |
| 445 |
|
|
| 446 |
static const Double cv2 = 0.04; |
const BravaisType& ebrat_original = this->putLatticeFigureOfMerit().putBravaisType(); |
| 447 |
static const Double resol2 = 0.06; |
const eCentringType eblat = (ebrat_original.enumBravaisType()==Monoclinic_B? |
| 448 |
|
(epg==D31d_rho?Prim:(epg==D3d_1_hex?Rhom_hex:BaseZ)):ebrat_original.enumCentringType()); |
| 449 |
|
|
| 450 |
// Calculate figures of merit as triclinic |
const NRMat<Int4> matrix_min_to_sell = this->putInitialForm().second; |
|
const ReducedLatticeToCheckBravais RLCB(abc_axis, rh_axis, false, cv2, this->putInitialForm()); |
|
|
const SymMat<Double> S_obtuse = this->putInitialSellingReducedForm(); |
|
| 451 |
|
|
| 452 |
if( m_latfom.enumCrystalSystem() != Rhombohedral ) |
SymMat<Double> S_super(4); |
| 453 |
{ |
NRMat<Int4> trans_mat(4,3); |
|
const map< SymMat<VCData>, NRMat<Int4> >& S_red_tray = RLCB.checkBravaisLatticeType(BravaisType(Rhombohedral, abc_axis, rh_axis)); |
|
|
for(map< SymMat<VCData>, NRMat<Int4> >::const_iterator it=S_red_tray.begin(); it!=S_red_tray.end(); it++) |
|
|
{ |
|
|
const SymMat<Double> S_red = chToDouble(it->first); |
|
|
if( !check_equiv_s(S_obtuse, transform_sym_matrix(it->second, S_red), resol2) ) continue; |
|
|
ans.push_back( pair< eCrystalSystem, SymMat<Double> >(Rhombohedral, S_red) ); |
|
|
} |
|
|
} |
|
|
if( m_latfom.enumBravaisLattice() != Face ) |
|
|
{ |
|
|
const map< SymMat<VCData>, NRMat<Int4> >& S_red_tray = RLCB.checkBravaisLatticeType(BravaisType(Orthorhombic_F, abc_axis, rh_axis)); |
|
|
for(map< SymMat<VCData>, NRMat<Int4> >::const_iterator it=S_red_tray.begin(); it!=S_red_tray.end(); it++) |
|
|
{ |
|
|
const SymMat<Double> S_red = chToDouble(it->first); |
|
|
if( !check_equiv_s(S_obtuse, transform_sym_matrix(it->second, S_red), resol2) ) continue; |
|
|
ans.push_back( pair< eCrystalSystem, SymMat<Double> >(Orthorhombic_F, S_red ) ); |
|
|
} |
|
|
} |
|
|
if( m_latfom.enumBravaisLattice() != Inner ) |
|
|
{ |
|
|
const map< SymMat<VCData>, NRMat<Int4> >& S_red_tray = RLCB.checkBravaisLatticeType(BravaisType(Orthorhombic_I, abc_axis, rh_axis)); |
|
|
for(map< SymMat<VCData>, NRMat<Int4> >::const_iterator it=S_red_tray.begin(); it!=S_red_tray.end(); it++) |
|
|
{ |
|
|
const SymMat<Double> S_red = chToDouble(it->first); |
|
|
if( !check_equiv_s(S_obtuse, transform_sym_matrix(it->second, S_red), resol2) ) continue; |
|
|
ans.push_back( pair< eCrystalSystem, SymMat<Double> >(Orthorhombic_I, S_red ) ); |
|
|
} |
|
|
} |
|
|
if( m_latfom.enumBravaisLattice() != BaseX && m_latfom.enumBravaisLattice() != BaseY && m_latfom.enumBravaisLattice() != BaseZ ) |
|
|
{ |
|
|
const map< SymMat<VCData>, NRMat<Int4> >& S_red_tray = RLCB.checkBravaisLatticeType(BravaisType(Monoclinic_B, abc_axis, rh_axis)); |
|
|
for(map< SymMat<VCData>, NRMat<Int4> >::const_iterator it=S_red_tray.begin(); it!=S_red_tray.end(); it++) |
|
|
{ |
|
|
const SymMat<Double> S_red = chToDouble(it->first); |
|
|
if( !check_equiv_s(S_obtuse, transform_sym_matrix(it->second, S_red), resol2) ) continue; |
|
|
ans.push_back( pair< eCrystalSystem, SymMat<Double> >(Monoclinic_B, S_red ) ); |
|
|
} |
|
|
} |
|
| 454 |
|
|
| 455 |
NRMat<Int4> trans_mat; |
for(map< SymMat<Double>, NRMat<Int4> >::const_iterator it=S_red_tray.begin(); it!=S_red_tray.end(); it++) |
|
SymMat<Double> S_red(3); |
|
|
if( m_latfom.enumCrystalSystem() == Rhombohedral || m_latfom.enumBravaisLattice() != Prim ) |
|
| 456 |
{ |
{ |
| 457 |
const SymMat<Double> S_super = put_sym_matrix_size4to3(this->putInitialSellingReducedForm()); |
// S_super = it->second * it->first * Transpose(it->second) is close to |
| 458 |
putTransformMatrixToMinkowskiReduced(Inverse3(S_super), trans_mat); |
// Delone-reduced form of the original lattice. |
| 459 |
transpose_square_matrix(trans_mat); |
S_super = transform_sym_matrix(it->second, it->first ); |
|
ans.push_back( pair< eCrystalSystem, SymMat<Double> >(Triclinic, transform_sym_matrix(Inverse3(trans_mat), S_super) ) ); |
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} |
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} |
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| 460 |
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| 461 |
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trans_mat = identity_matrix<Int4>(4); |
| 462 |
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| 463 |
void LatticeFigureOfMeritToCheckSymmetry::putEquivalentLatticeConstantsDegreeWithOtherCentring( |
// S_super = trans_mat * it->second * it->first * Transpose(trans_mat * it->second). |
| 464 |
const eABCaxis& abc_axis, const eRHaxis& rh_axis, |
put_Selling_reduced_dim_less_than_4(S_super, trans_mat); |
| 465 |
vector< pair< eCrystalSystem, pair< VecDat3<Double>, VecDat3<Double> > > >& ans) const |
moveSmallerDiagonalLeftUpper(S_super, trans_mat); |
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{ |
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vector< pair< eCrystalSystem, SymMat<Double> > > ans0; |
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putEquivalentLatticeConstantsDegreeWithOtherCentring(abc_axis, rh_axis, ans0); |
|
| 466 |
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| 467 |
ans.clear(); |
lattice_result.push_back( LatticeFigureOfMeritToCheckSymmetry( BravaisType( pair<eCentringType, ePointGroup>(eblat, epg) ), |
| 468 |
ans.resize( ans0.size() ); |
SymMat43_Double(it->first, mprod(trans_mat, it->second) ) ) ); |
| 469 |
vector< pair< eCrystalSystem, pair< VecDat3<Double>, VecDat3<Double> > > >::iterator it2 = ans.begin(); |
} |
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for(vector< pair< eCrystalSystem, SymMat<Double> > >::const_iterator it=ans0.begin(); it<ans0.end(); it++, it2++) |
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{ |
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it2->first = it->first; |
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LatticeFigureOfMerit::putLatticeConstantsDegree( BravaisType(it->first, abc_axis, rh_axis), it->second, abc_axis, rh_axis, it2->second.first, it2->second.second ); |
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} |
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} |
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void LatticeFigureOfMeritToCheckSymmetry::printLatticeInformation( |
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const vector<LatticeFigureOfMeritToCheckSymmetry> lattice_result[], |
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const OutputInfo outinfo[], |
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const eABCaxis& abc_axis, |
|
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const eRHaxis& rh_axis, |
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const Int4& label_start0, |
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ostream* os) const |
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{ |
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m_latfom.printLatticeInformation(abc_axis, rh_axis, label_start0, os); |
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// const FracMat mat_sell_to_min = FInverse3( put_transform_matrix_row4to3( putLatticeFigureOfMerit().putOptimizedFormWithTransformMatrixToSellingReduced().second) ); |
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// const SymMat<Double> dbl_S_init = transform_sym_matrix(mat_sell_to_min.mat, |
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// put_sym_matrix_size4to3( this->putInitialSellingReducedForm() ) ) / (mat_sell_to_min.denom*mat_sell_to_min.denom); |
|
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// const SymMat<Double>& dbl_S_init = this->putInitialSellingReducedForm(); |
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// os->width(label_start); *os << ""; |
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// *os << "<!-- A*, B*, C*, D*, E*, F*(angstrom^(-2)) first given by peak-positions.-->\n"; |
|
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// os->width(label_start); *os << ""; |
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// *os << "<InitialReciprocalLatticeParameters>"; |
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// os->width(14); |
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// *os << dbl_S_init(0,0); |
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// os->width(14); |
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// *os << dbl_S_init(1,1); |
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// os->width(14); |
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// *os << dbl_S_init(2,2); |
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// os->width(14); |
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// *os << dbl_S_init(1,2); |
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// os->width(14); |
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// *os << dbl_S_init(0,2); |
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// os->width(14); |
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// *os << dbl_S_init(0,1); |
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// *os << " </InitialReciprocalLatticeParameters>\n"; |
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Int4 label_start = label_start0; |
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os->width(label_start); |
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*os << "" << "<NumberOfLatticesInNeighborhood>"; |
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os->width(14); |
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*os << this->putNumberOfLatticesInNeighborhood(); |
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*os << " </NumberOfLatticesInNeighborhood>\n\n"; |
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os->width(label_start); |
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*os << "" << "<EquivalentLatticeCandidates>\n"; |
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label_start++; |
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vector< pair< eCrystalSystem, pair< VecDat3<Double>, VecDat3<Double> > > > lattice_equiv; |
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this->putEquivalentLatticeConstantsDegreeWithOtherCentring(abc_axis, rh_axis, lattice_equiv); |
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for(vector< pair< eCrystalSystem, pair< VecDat3<Double>, VecDat3<Double> > > >::const_iterator it=lattice_equiv.begin(); it<lattice_equiv.end(); it++) |
|
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{ |
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os->width(label_start); *os << ""; |
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*os << "<LatticeCandidate>\n"; |
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label_start++; |
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os->width(label_start); *os << ""; |
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*os << "<CrystalSystem>"; |
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os->width(17); |
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*os << put_cs_name(it->first, abc_axis); |
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*os << " </CrystalSystem>\n"; |
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os->width(label_start); |
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*os << "" << "<LatticeParameters>"; |
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os->width(14); |
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*os << it->second.first[0]; |
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os->width(14); |
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*os << it->second.first[1]; |
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os->width(14); |
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*os << it->second.first[2]; |
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os->width(14); |
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*os << it->second.second[0]; |
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os->width(14); |
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*os << it->second.second[1]; |
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os->width(14); |
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*os << it->second.second[2]; |
|
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*os << " </LatticeParameters>\n"; |
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label_start--; |
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os->width(label_start); *os << ""; |
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|
*os << "</LatticeCandidate>\n"; |
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|
} |
|
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|
label_start--; |
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|
os->width(label_start); *os << ""; |
|
|
*os << "</EquivalentLatticeCandidates>\n\n"; |
|
| 470 |
} |
} |