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Nektar::Collections::PhysDeriv_SumFac_Tri Class Referencefinal

Phys deriv operator using sum-factorisation (Tri) More...

Inheritance diagram for Nektar::Collections::PhysDeriv_SumFac_Tri:
[legend]

Public Member Functions

 ~PhysDeriv_SumFac_Tri () final=default
 
void operator() (const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output0, Array< OneD, NekDouble > &output1, Array< OneD, NekDouble > &output2, Array< OneD, NekDouble > &wsp) final
 Perform operation. More...
 
void operator() (int dir, const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output, Array< OneD, NekDouble > &wsp) final
 
- Public Member Functions inherited from Nektar::Collections::Operator
 Operator (std::vector< StdRegions::StdExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData, StdRegions::FactorMap factors)
 Constructor. More...
 
virtual ~Operator ()=default
 
virtual COLLECTIONS_EXPORT void operator() (const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output0, Array< OneD, NekDouble > &output1, Array< OneD, NekDouble > &output2, Array< OneD, NekDouble > &wsp=NullNekDouble1DArray)=0
 Perform operation. More...
 
virtual COLLECTIONS_EXPORT void operator() (int dir, const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output, Array< OneD, NekDouble > &wsp=NullNekDouble1DArray)=0
 
virtual COLLECTIONS_EXPORT void UpdateFactors (StdRegions::FactorMap factors)
 Update the supplied factor map. More...
 
virtual COLLECTIONS_EXPORT void UpdateVarcoeffs (StdRegions::VarCoeffMap &varcoeffs)
 Update the supplied variable coefficients. More...
 
unsigned int GetWspSize ()
 Get the size of the required workspace. More...
 
unsigned int GetNumElmt ()
 Get number of elements. More...
 
StdRegions::StdExpansionSharedPtr GetExpSharedPtr ()
 Get expansion pointer. More...
 
unsigned int GetInputSize (bool defaultIn=true)
 
unsigned int GetOutputSize (bool defaultOut=true)
 

Protected Attributes

int m_coordim
 
const int m_nquad0
 
const int m_nquad1
 
Array< TwoD, const NekDoublem_derivFac
 
NekDoublem_Deriv0
 
NekDoublem_Deriv1
 
Array< OneD, NekDoublem_fac0
 
Array< OneD, NekDoublem_fac1
 
- Protected Attributes inherited from Nektar::Collections::Operator
bool m_isDeformed
 
StdRegions::StdExpansionSharedPtr m_stdExp
 
unsigned int m_numElmt
 number of elements that the operator is applied on More...
 
unsigned int m_nqe
 
unsigned int m_wspSize
 
unsigned int m_inputSize
 number of modes or quadrature points that are passed as input to an operator More...
 
unsigned int m_outputSize
 number of modes or quadrature points that are taken as output from an operator More...
 
unsigned int m_inputSizeOther
 Number of modes or quadrature points, opposite to m_inputSize. More...
 
unsigned int m_outputSizeOther
 Number of modes or quadrature points, opposite to m_outputSize. More...
 

Private Member Functions

 PhysDeriv_SumFac_Tri (vector< StdRegions::StdExpansionSharedPtr > pCollExp, CoalescedGeomDataSharedPtr pGeomData, StdRegions::FactorMap factors)
 

Additional Inherited Members

- Protected Member Functions inherited from Nektar::Collections::PhysDeriv_Helper
 PhysDeriv_Helper ()
 

Detailed Description

Phys deriv operator using sum-factorisation (Tri)

Definition at line 1004 of file PhysDeriv.cpp.

Constructor & Destructor Documentation

◆ ~PhysDeriv_SumFac_Tri()

Nektar::Collections::PhysDeriv_SumFac_Tri::~PhysDeriv_SumFac_Tri ( )
finaldefault

◆ PhysDeriv_SumFac_Tri()

Nektar::Collections::PhysDeriv_SumFac_Tri::PhysDeriv_SumFac_Tri ( vector< StdRegions::StdExpansionSharedPtr pCollExp,
CoalescedGeomDataSharedPtr  pGeomData,
StdRegions::FactorMap  factors 
)
inlineprivate

Definition at line 1161 of file PhysDeriv.cpp.

1164 : Operator(pCollExp, pGeomData, factors), PhysDeriv_Helper(),
1165 m_nquad0(m_stdExp->GetNumPoints(0)),
1166 m_nquad1(m_stdExp->GetNumPoints(1))
1167 {
1168 m_coordim = pCollExp[0]->GetCoordim();
1169
1170 m_derivFac = pGeomData->GetDerivFactors(pCollExp);
1171
1172 const Array<OneD, const NekDouble> &z0 = m_stdExp->GetBasis(0)->GetZ();
1173 const Array<OneD, const NekDouble> &z1 = m_stdExp->GetBasis(1)->GetZ();
1174 m_fac0 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1);
1175 // set up geometric factor: 0.5*(1+z0)
1176 for (int i = 0; i < m_nquad0; ++i)
1177 {
1178 for (int j = 0; j < m_nquad1; ++j)
1179 {
1180 m_fac0[i + j * m_nquad0] = 0.5 * (1 + z0[i]);
1181 }
1182 }
1183
1184 m_fac1 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1);
1185 // set up geometric factor: 2/(1-z1)
1186 for (int i = 0; i < m_nquad0; ++i)
1187 {
1188 for (int j = 0; j < m_nquad1; ++j)
1189 {
1190 m_fac1[i + j * m_nquad0] = 2.0 / (1 - z1[j]);
1191 }
1192 }
1193
1194 m_Deriv0 = &((m_stdExp->GetBasis(0)->GetD())->GetPtr())[0];
1195 m_Deriv1 = &((m_stdExp->GetBasis(1)->GetD())->GetPtr())[0];
1197 }
StdRegions::StdExpansionSharedPtr m_stdExp
Definition: Operator.h:217
unsigned int m_numElmt
number of elements that the operator is applied on
Definition: Operator.h:219
Operator(std::vector< StdRegions::StdExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData, StdRegions::FactorMap factors)
Constructor.
Definition: Operator.cpp:66
Array< TwoD, const NekDouble > m_derivFac
Definition: PhysDeriv.cpp:1154
StdRegions::ConstFactorMap factors

References m_coordim, m_Deriv0, m_Deriv1, m_derivFac, m_fac0, m_fac1, m_nquad0, m_nquad1, Nektar::Collections::Operator::m_numElmt, Nektar::Collections::Operator::m_stdExp, and Nektar::Collections::Operator::m_wspSize.

Member Function Documentation

◆ operator()() [1/2]

void Nektar::Collections::PhysDeriv_SumFac_Tri::operator() ( const Array< OneD, const NekDouble > &  input,
Array< OneD, NekDouble > &  output0,
Array< OneD, NekDouble > &  output1,
Array< OneD, NekDouble > &  output2,
Array< OneD, NekDouble > &  wsp 
)
inlinefinalvirtual

Perform operation.

Implements Nektar::Collections::Operator.

Definition at line 1012 of file PhysDeriv.cpp.

1017 {
1018 const int nqtot = m_nquad0 * m_nquad1;
1019 const int nqcol = nqtot * m_numElmt;
1020
1021 ASSERTL1(wsp.size() == m_wspSize, "Incorrect workspace size");
1022 ASSERTL1(input.size() >= nqcol, "Incorrect input size");
1023
1024 Array<OneD, NekDouble> diff0(nqcol, wsp);
1025 Array<OneD, NekDouble> diff1(nqcol, wsp + nqcol);
1026
1027 // Tensor Product Derivative
1028 Blas::Dgemm('N', 'N', m_nquad0, m_nquad1 * m_numElmt, m_nquad0, 1.0,
1029 m_Deriv0, m_nquad0, input.get(), m_nquad0, 0.0, diff0.get(),
1030 m_nquad0);
1031
1032 int cnt = 0;
1033 for (int i = 0; i < m_numElmt; ++i, cnt += nqtot)
1034 {
1035 // scale diff0 by geometric factor: 2/(1-z1)
1036 Vmath::Vmul(nqtot, &m_fac1[0], 1, diff0.get() + cnt, 1,
1037 diff0.get() + cnt, 1);
1038
1039 Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1040 input.get() + cnt, m_nquad0, m_Deriv1, m_nquad1, 0.0,
1041 diff1.get() + cnt, m_nquad0);
1042
1043 // add to diff1 by diff0 scaled by: (1_z0)/(1-z1)
1044 Vmath::Vvtvp(nqtot, m_fac0.get(), 1, diff0.get() + cnt, 1,
1045 diff1.get() + cnt, 1, diff1.get() + cnt, 1);
1046 }
1047
1048 if (m_isDeformed)
1049 {
1050 Vmath::Vmul(nqcol, m_derivFac[0], 1, diff0, 1, output0, 1);
1051 Vmath::Vvtvp(nqcol, m_derivFac[1], 1, diff1, 1, output0, 1, output0,
1052 1);
1053 Vmath::Vmul(nqcol, m_derivFac[2], 1, diff0, 1, output1, 1);
1054 Vmath::Vvtvp(nqcol, m_derivFac[3], 1, diff1, 1, output1, 1, output1,
1055 1);
1056
1057 if (m_coordim == 3)
1058 {
1059 Vmath::Vmul(nqcol, m_derivFac[4], 1, diff0, 1, output2, 1);
1060 Vmath::Vvtvp(nqcol, m_derivFac[5], 1, diff1, 1, output2, 1,
1061 output2, 1);
1062 }
1063 }
1064 else
1065 {
1066 Array<OneD, NekDouble> t;
1067 for (int e = 0; e < m_numElmt; ++e)
1068 {
1069 Vmath::Smul(m_nqe, m_derivFac[0][e], diff0 + e * m_nqe, 1,
1070 t = output0 + e * m_nqe, 1);
1071 Vmath::Svtvp(m_nqe, m_derivFac[1][e], diff1 + e * m_nqe, 1,
1072 output0 + e * m_nqe, 1, t = output0 + e * m_nqe,
1073 1);
1074
1075 Vmath::Smul(m_nqe, m_derivFac[2][e], diff0 + e * m_nqe, 1,
1076 t = output1 + e * m_nqe, 1);
1077 Vmath::Svtvp(m_nqe, m_derivFac[3][e], diff1 + e * m_nqe, 1,
1078 output1 + e * m_nqe, 1, t = output1 + e * m_nqe,
1079 1);
1080 }
1081
1082 if (m_coordim == 3)
1083 {
1084 for (int e = 0; e < m_numElmt; ++e)
1085 {
1086 Vmath::Smul(m_nqe, m_derivFac[4][e], diff0 + e * m_nqe, 1,
1087 t = output2 + e * m_nqe, 1);
1088 Vmath::Svtvp(m_nqe, m_derivFac[5][e], diff1 + e * m_nqe, 1,
1089 output2 + e * m_nqe, 1,
1090 t = output2 + e * m_nqe, 1);
1091 }
1092 }
1093 }
1094 }
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode....
Definition: ErrorUtil.hpp:242
static void Dgemm(const char &transa, const char &transb, const int &m, const int &n, const int &k, const double &alpha, const double *a, const int &lda, const double *b, const int &ldb, const double &beta, double *c, const int &ldc)
BLAS level 3: Matrix-matrix multiply C = A x B where op(A)[m x k], op(B)[k x n], C[m x n] DGEMM perfo...
Definition: Blas.hpp:383
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.hpp:72
void Svtvp(int n, const T alpha, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Svtvp (scalar times vector plus vector): z = alpha*x + y.
Definition: Vmath.hpp:396
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition: Vmath.hpp:366
void Smul(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha*x.
Definition: Vmath.hpp:100

References ASSERTL1, Blas::Dgemm(), m_coordim, m_Deriv0, m_Deriv1, m_derivFac, m_fac0, m_fac1, Nektar::Collections::Operator::m_isDeformed, Nektar::Collections::Operator::m_nqe, m_nquad0, m_nquad1, Nektar::Collections::Operator::m_numElmt, Nektar::Collections::Operator::m_wspSize, Vmath::Smul(), Vmath::Svtvp(), Vmath::Vmul(), and Vmath::Vvtvp().

◆ operator()() [2/2]

void Nektar::Collections::PhysDeriv_SumFac_Tri::operator() ( int  dir,
const Array< OneD, const NekDouble > &  input,
Array< OneD, NekDouble > &  output,
Array< OneD, NekDouble > &  wsp 
)
inlinefinalvirtual

Implements Nektar::Collections::Operator.

Definition at line 1096 of file PhysDeriv.cpp.

1099 {
1100 const int nqtot = m_nquad0 * m_nquad1;
1101 const int nqcol = nqtot * m_numElmt;
1102
1103 ASSERTL1(wsp.size() == m_wspSize, "Incorrect workspace size");
1104 ASSERTL1(input.size() >= nqcol, "Incorrect input size");
1105
1106 Array<OneD, NekDouble> diff0(nqcol, wsp);
1107 Array<OneD, NekDouble> diff1(nqcol, wsp + nqcol);
1108
1109 // Tensor Product Derivative
1110 Blas::Dgemm('N', 'N', m_nquad0, m_nquad1 * m_numElmt, m_nquad0, 1.0,
1111 m_Deriv0, m_nquad0, input.get(), m_nquad0, 0.0, diff0.get(),
1112 m_nquad0);
1113
1114 int cnt = 0;
1115 for (int i = 0; i < m_numElmt; ++i, cnt += nqtot)
1116 {
1117 // scale diff0 by geometric factor: 2/(1-z1)
1118 Vmath::Vmul(nqtot, &m_fac1[0], 1, diff0.get() + cnt, 1,
1119 diff0.get() + cnt, 1);
1120
1121 Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1122 input.get() + cnt, m_nquad0, m_Deriv1, m_nquad1, 0.0,
1123 diff1.get() + cnt, m_nquad0);
1124
1125 // add to diff1 by diff0 scaled by: (1_z0)/(1-z1)
1126 Vmath::Vvtvp(nqtot, m_fac0.get(), 1, diff0.get() + cnt, 1,
1127 diff1.get() + cnt, 1, diff1.get() + cnt, 1);
1128 }
1129
1130 if (m_isDeformed)
1131 {
1132 Vmath::Vmul(nqcol, m_derivFac[2 * dir], 1, diff0, 1, output, 1);
1133 Vmath::Vvtvp(nqcol, m_derivFac[2 * dir + 1], 1, diff1, 1, output, 1,
1134 output, 1);
1135 }
1136 else
1137 {
1138 Array<OneD, NekDouble> t;
1139 for (int e = 0; e < m_numElmt; ++e)
1140 {
1141 Vmath::Smul(m_nqe, m_derivFac[2 * dir][e], diff0 + e * m_nqe, 1,
1142 t = output + e * m_nqe, 1);
1143 Vmath::Svtvp(m_nqe, m_derivFac[2 * dir + 1][e],
1144 diff1 + e * m_nqe, 1, output + e * m_nqe, 1,
1145 t = output + e * m_nqe, 1);
1146 }
1147 }
1148 }

References ASSERTL1, Blas::Dgemm(), m_Deriv0, m_Deriv1, m_derivFac, m_fac0, m_fac1, Nektar::Collections::Operator::m_isDeformed, Nektar::Collections::Operator::m_nqe, m_nquad0, m_nquad1, Nektar::Collections::Operator::m_numElmt, Nektar::Collections::Operator::m_wspSize, Vmath::Smul(), Vmath::Svtvp(), Vmath::Vmul(), and Vmath::Vvtvp().

Member Data Documentation

◆ m_coordim

int Nektar::Collections::PhysDeriv_SumFac_Tri::m_coordim
protected

Definition at line 1151 of file PhysDeriv.cpp.

Referenced by operator()(), and PhysDeriv_SumFac_Tri().

◆ m_Deriv0

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Tri::m_Deriv0
protected

Definition at line 1155 of file PhysDeriv.cpp.

Referenced by operator()(), and PhysDeriv_SumFac_Tri().

◆ m_Deriv1

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Tri::m_Deriv1
protected

Definition at line 1156 of file PhysDeriv.cpp.

Referenced by operator()(), and PhysDeriv_SumFac_Tri().

◆ m_derivFac

Array<TwoD, const NekDouble> Nektar::Collections::PhysDeriv_SumFac_Tri::m_derivFac
protected

Definition at line 1154 of file PhysDeriv.cpp.

Referenced by operator()(), and PhysDeriv_SumFac_Tri().

◆ m_fac0

Array<OneD, NekDouble> Nektar::Collections::PhysDeriv_SumFac_Tri::m_fac0
protected

Definition at line 1157 of file PhysDeriv.cpp.

Referenced by operator()(), and PhysDeriv_SumFac_Tri().

◆ m_fac1

Array<OneD, NekDouble> Nektar::Collections::PhysDeriv_SumFac_Tri::m_fac1
protected

Definition at line 1158 of file PhysDeriv.cpp.

Referenced by operator()(), and PhysDeriv_SumFac_Tri().

◆ m_nquad0

const int Nektar::Collections::PhysDeriv_SumFac_Tri::m_nquad0
protected

Definition at line 1152 of file PhysDeriv.cpp.

Referenced by operator()(), and PhysDeriv_SumFac_Tri().

◆ m_nquad1

const int Nektar::Collections::PhysDeriv_SumFac_Tri::m_nquad1
protected

Definition at line 1153 of file PhysDeriv.cpp.

Referenced by operator()(), and PhysDeriv_SumFac_Tri().