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Nektar::Collections::PhysDeriv_SumFac_Prism Class Referencefinal

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

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

Public Member Functions

 ~PhysDeriv_SumFac_Prism () 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

Array< TwoD, const NekDouble > m_derivFac
 
int m_coordim
 
const int m_nquad0
 
const int m_nquad1
 
const int m_nquad2
 
NekDouble * m_Deriv0
 
NekDouble * m_Deriv1
 
NekDouble * m_Deriv2
 
Array< OneD, NekDouble > m_fac0
 
Array< OneD, NekDouble > m_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_Prism (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 (Prism)

Definition at line 1676 of file PhysDeriv.cpp.

Constructor & Destructor Documentation

◆ ~PhysDeriv_SumFac_Prism()

Nektar::Collections::PhysDeriv_SumFac_Prism::~PhysDeriv_SumFac_Prism ( )
finaldefault

◆ PhysDeriv_SumFac_Prism()

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

Definition at line 1863 of file PhysDeriv.cpp.

1866 : Operator(pCollExp, pGeomData, factors), PhysDeriv_Helper(),
1867 m_nquad0(m_stdExp->GetNumPoints(0)),
1868 m_nquad1(m_stdExp->GetNumPoints(1)),
1869 m_nquad2(m_stdExp->GetNumPoints(2))
1870 {
1871 m_coordim = pCollExp[0]->GetCoordim();
1872
1873 m_derivFac = pGeomData->GetDerivFactors(pCollExp);
1874
1875 const Array<OneD, const NekDouble> &z0 = m_stdExp->GetBasis(0)->GetZ();
1876 const Array<OneD, const NekDouble> &z2 = m_stdExp->GetBasis(2)->GetZ();
1877 m_fac0 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1878 m_fac1 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1879 for (int i = 0; i < m_nquad0; ++i)
1880 {
1881 for (int j = 0; j < m_nquad1; ++j)
1882 {
1883 for (int k = 0; k < m_nquad2; ++k)
1884 {
1885 m_fac0[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1886 2.0 / (1 - z2[k]);
1887 m_fac1[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1888 0.5 * (1 + z0[i]);
1889 }
1890 }
1891 }
1892
1893 m_Deriv0 = &((m_stdExp->GetBasis(0)->GetD())->GetPtr())[0];
1894 m_Deriv1 = &((m_stdExp->GetBasis(1)->GetD())->GetPtr())[0];
1895 m_Deriv2 = &((m_stdExp->GetBasis(2)->GetD())->GetPtr())[0];
1896
1897 m_wspSize = 3 * m_nquad0 * m_nquad1 * m_nquad2 * m_numElmt;
1898 }
Nektar::Collections::Operator::m_stdExp
StdRegions::StdExpansionSharedPtr m_stdExp
Definition: Operator.h:217
Nektar::Collections::Operator::m_numElmt
unsigned int m_numElmt
number of elements that the operator is applied on
Definition: Operator.h:219
Nektar::Collections::Operator::Operator
Operator(std::vector< StdRegions::StdExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData, StdRegions::FactorMap factors)
Constructor.
Definition: Operator.cpp:66
Nektar::Collections::PhysDeriv_Helper::PhysDeriv_Helper
PhysDeriv_Helper()
Definition: PhysDeriv.cpp:62
Nektar::Collections::PhysDeriv_SumFac_Prism::m_fac1
Array< OneD, NekDouble > m_fac1
Definition: PhysDeriv.cpp:1860
Nektar::Collections::PhysDeriv_SumFac_Prism::m_derivFac
Array< TwoD, const NekDouble > m_derivFac
Definition: PhysDeriv.cpp:1851
Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad1
const int m_nquad1
Definition: PhysDeriv.cpp:1854
Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad2
const int m_nquad2
Definition: PhysDeriv.cpp:1855
Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv2
NekDouble * m_Deriv2
Definition: PhysDeriv.cpp:1858
Nektar::Collections::PhysDeriv_SumFac_Prism::m_fac0
Array< OneD, NekDouble > m_fac0
Definition: PhysDeriv.cpp:1859
Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv1
NekDouble * m_Deriv1
Definition: PhysDeriv.cpp:1857
Nektar::Collections::PhysDeriv_SumFac_Prism::m_coordim
int m_coordim
Definition: PhysDeriv.cpp:1852
Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad0
const int m_nquad0
Definition: PhysDeriv.cpp:1853
Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv0
NekDouble * m_Deriv0
Definition: PhysDeriv.cpp:1856
Nektar::VarcoeffHashingTest::factors
StdRegions::ConstFactorMap factors
Definition: TestVarcoeffHashing.cpp:51

References m_coordim, m_Deriv0, m_Deriv1, m_Deriv2, m_derivFac, m_fac0, m_fac1, m_nquad0, m_nquad1, m_nquad2, 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_Prism::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 1684 of file PhysDeriv.cpp.

1689 {
1690 int nPhys = m_stdExp->GetTotPoints();
1691 int ntot = m_numElmt * nPhys;
1692 Array<OneD, NekDouble> tmp0, tmp1, tmp2;
1693 Array<OneD, Array<OneD, NekDouble>> Diff(3);
1694 Array<OneD, Array<OneD, NekDouble>> out(3);
1695 out[0] = output0;
1696 out[1] = output1;
1697 out[2] = output2;
1698
1699 for (int i = 0; i < 3; ++i)
1700 {
1701 Diff[i] = wsp + i * ntot;
1702 }
1703
1704 // dEta0
1705 Blas::Dgemm('N', 'N', m_nquad0, m_nquad1 * m_nquad2 * m_numElmt,
1706 m_nquad0, 1.0, m_Deriv0, m_nquad0, &input[0], m_nquad0, 0.0,
1707 &Diff[0][0], m_nquad0);
1708
1709 int cnt = 0;
1710 for (int i = 0; i < m_numElmt; ++i)
1711 {
1712 // dEta 1
1713 for (int j = 0; j < m_nquad2; ++j)
1714 {
1715 Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1716 &input[i * nPhys + j * m_nquad0 * m_nquad1],
1717 m_nquad0, m_Deriv1, m_nquad1, 0.0,
1718 &Diff[1][i * nPhys + j * m_nquad0 * m_nquad1],
1719 m_nquad0);
1720 }
1721
1722 // dEta 2
1723 Blas::Dgemm('N', 'T', m_nquad0 * m_nquad1, m_nquad2, m_nquad2, 1.0,
1724 &input[i * nPhys], m_nquad0 * m_nquad1, m_Deriv2,
1725 m_nquad2, 0.0, &Diff[2][i * nPhys],
1726 m_nquad0 * m_nquad1);
1727
1728 // dxi0 = 2/(1-eta_2) d Eta_0
1729 Vmath::Vmul(nPhys, &m_fac0[0], 1, Diff[0].get() + cnt, 1,
1730 Diff[0].get() + cnt, 1);
1731
1732 // dxi2 = (1+eta0)/(1-eta_2) d Eta_0 + d/dEta2;
1733 Vmath::Vvtvp(nPhys, &m_fac1[0], 1, Diff[0].get() + cnt, 1,
1734 Diff[2].get() + cnt, 1, Diff[2].get() + cnt, 1);
1735 cnt += nPhys;
1736 }
1737
1738 // calculate full derivative
1739 if (m_isDeformed)
1740 {
1741 for (int i = 0; i < m_coordim; ++i)
1742 {
1743 Vmath::Vmul(ntot, m_derivFac[i * 3], 1, Diff[0], 1, out[i], 1);
1744 for (int j = 1; j < 3; ++j)
1745 {
1746 Vmath::Vvtvp(ntot, m_derivFac[i * 3 + j], 1, Diff[j], 1,
1747 out[i], 1, out[i], 1);
1748 }
1749 }
1750 }
1751 else
1752 {
1753 Array<OneD, NekDouble> t;
1754 for (int e = 0; e < m_numElmt; ++e)
1755 {
1756 for (int i = 0; i < m_coordim; ++i)
1757 {
1758 Vmath::Smul(m_nqe, m_derivFac[i * 3][e],
1759 Diff[0] + e * m_nqe, 1, t = out[i] + e * m_nqe,
1760 1);
1761
1762 for (int j = 1; j < 3; ++j)
1763 {
1764 Vmath::Svtvp(m_nqe, m_derivFac[i * 3 + j][e],
1765 Diff[j] + e * m_nqe, 1, out[i] + e * m_nqe,
1766 1, t = out[i] + e * m_nqe, 1);
1767 }
1768 }
1769 }
1770 }
1771 }
Blas::Dgemm
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
Vmath::Vmul
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
Vmath::Svtvp
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
Vmath::Vvtvp
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
Vmath::Smul
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 Blas::Dgemm(), m_coordim, m_Deriv0, m_Deriv1, m_Deriv2, m_derivFac, m_fac0, m_fac1, Nektar::Collections::Operator::m_isDeformed, Nektar::Collections::Operator::m_nqe, m_nquad0, m_nquad1, m_nquad2, Nektar::Collections::Operator::m_numElmt, Nektar::Collections::Operator::m_stdExp, Vmath::Smul(), Vmath::Svtvp(), Vmath::Vmul(), and Vmath::Vvtvp().

◆ operator()() [2/2]

void Nektar::Collections::PhysDeriv_SumFac_Prism::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 1773 of file PhysDeriv.cpp.

1776 {
1777 int nPhys = m_stdExp->GetTotPoints();
1778 int ntot = m_numElmt * nPhys;
1779 Array<OneD, NekDouble> tmp0, tmp1, tmp2;
1780 Array<OneD, Array<OneD, NekDouble>> Diff(3);
1781
1782 for (int i = 0; i < 3; ++i)
1783 {
1784 Diff[i] = wsp + i * ntot;
1785 }
1786
1787 // dEta0
1788 Blas::Dgemm('N', 'N', m_nquad0, m_nquad1 * m_nquad2 * m_numElmt,
1789 m_nquad0, 1.0, m_Deriv0, m_nquad0, &input[0], m_nquad0, 0.0,
1790 &Diff[0][0], m_nquad0);
1791
1792 int cnt = 0;
1793 for (int i = 0; i < m_numElmt; ++i)
1794 {
1795 // dEta 1
1796 for (int j = 0; j < m_nquad2; ++j)
1797 {
1798 Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1799 &input[i * nPhys + j * m_nquad0 * m_nquad1],
1800 m_nquad0, m_Deriv1, m_nquad1, 0.0,
1801 &Diff[1][i * nPhys + j * m_nquad0 * m_nquad1],
1802 m_nquad0);
1803 }
1804
1805 // dEta 2
1806 Blas::Dgemm('N', 'T', m_nquad0 * m_nquad1, m_nquad2, m_nquad2, 1.0,
1807 &input[i * nPhys], m_nquad0 * m_nquad1, m_Deriv2,
1808 m_nquad2, 0.0, &Diff[2][i * nPhys],
1809 m_nquad0 * m_nquad1);
1810
1811 // dxi0 = 2/(1-eta_2) d Eta_0
1812 Vmath::Vmul(nPhys, &m_fac0[0], 1, Diff[0].get() + cnt, 1,
1813 Diff[0].get() + cnt, 1);
1814
1815 // dxi2 = (1+eta0)/(1-eta_2) d Eta_0 + d/dEta2;
1816 Vmath::Vvtvp(nPhys, &m_fac1[0], 1, Diff[0].get() + cnt, 1,
1817 Diff[2].get() + cnt, 1, Diff[2].get() + cnt, 1);
1818 cnt += nPhys;
1819 }
1820
1821 // calculate full derivative
1822 if (m_isDeformed)
1823 {
1824 // calculate full derivative
1825 Vmath::Vmul(ntot, m_derivFac[dir * 3], 1, Diff[0], 1, output, 1);
1826 for (int j = 1; j < 3; ++j)
1827 {
1828 Vmath::Vvtvp(ntot, m_derivFac[dir * 3 + j], 1, Diff[j], 1,
1829 output, 1, output, 1);
1830 }
1831 }
1832 else
1833 {
1834 Array<OneD, NekDouble> t;
1835 for (int e = 0; e < m_numElmt; ++e)
1836 {
1837 Vmath::Smul(m_nqe, m_derivFac[dir * 3][e], Diff[0] + e * m_nqe,
1838 1, t = output + e * m_nqe, 1);
1839
1840 for (int j = 1; j < 3; ++j)
1841 {
1842 Vmath::Svtvp(m_nqe, m_derivFac[dir * 3 + j][e],
1843 Diff[j] + e * m_nqe, 1, output + e * m_nqe, 1,
1844 t = output + e * m_nqe, 1);
1845 }
1846 }
1847 }
1848 }

References Blas::Dgemm(), m_Deriv0, m_Deriv1, m_Deriv2, m_derivFac, m_fac0, m_fac1, Nektar::Collections::Operator::m_isDeformed, Nektar::Collections::Operator::m_nqe, m_nquad0, m_nquad1, m_nquad2, Nektar::Collections::Operator::m_numElmt, Nektar::Collections::Operator::m_stdExp, Vmath::Smul(), Vmath::Svtvp(), Vmath::Vmul(), and Vmath::Vvtvp().

Member Data Documentation

◆ m_coordim

int Nektar::Collections::PhysDeriv_SumFac_Prism::m_coordim
protected

Definition at line 1852 of file PhysDeriv.cpp.

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

◆ m_Deriv0

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv0
protected

Definition at line 1856 of file PhysDeriv.cpp.

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

◆ m_Deriv1

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv1
protected

Definition at line 1857 of file PhysDeriv.cpp.

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

◆ m_Deriv2

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv2
protected

Definition at line 1858 of file PhysDeriv.cpp.

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

◆ m_derivFac

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

Definition at line 1851 of file PhysDeriv.cpp.

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

◆ m_fac0

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

Definition at line 1859 of file PhysDeriv.cpp.

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

◆ m_fac1

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

Definition at line 1860 of file PhysDeriv.cpp.

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

◆ m_nquad0

const int Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad0
protected

Definition at line 1853 of file PhysDeriv.cpp.

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

◆ m_nquad1

const int Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad1
protected

Definition at line 1854 of file PhysDeriv.cpp.

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

◆ m_nquad2

const int Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad2
protected

Definition at line 1855 of file PhysDeriv.cpp.

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

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