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Matrix: Replace the row-start pointer array with computed offsets

Browse Source 
The row-start pointer array provided performance benefits on old
computers but now that computation is often cache-miss limited the
benefit of avoiding a integer multiply is more than offset by the
addition memory access into a separately allocated array.

With the new addressing scheme LUsolve is 15% faster.
This commit is contained in:
Henry Weller
2016-03-20 15:00:36 +00:00
parent 59c9f3594e
commit 767ffc3c7b
7 changed files with 120 additions and 88 deletions
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91
src/OpenFOAM/matrices/Matrix/Matrix.C
View File

@ -32,13 +32,7 @@ void Foam::Matrix<Form, Type>::allocate()
{
if (nRows_ && nCols_)
{
v_ = new Type*[nRows_];
v_[0] = new Type[nRows_*nCols_];
for (label i=1; i<nRows_; i++)
{
v_[i] = v_[i-1] + nCols_;
}
v_ = new Type[size()];
}
}
@ -50,7 +44,6 @@ Foam::Matrix<Form, Type>::~Matrix()
{
if (v_)
{
delete[] (v_[0]);
delete[] v_;
}
}
@ -59,16 +52,16 @@ Foam::Matrix<Form, Type>::~Matrix()
// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
template<class Form, class Type>
Foam::Matrix<Form, Type>::Matrix(const label n, const label m)
Foam::Matrix<Form, Type>::Matrix(const label m, const label n)
:
nRows_(n),
nCols_(m),
nRows_(m),
nCols_(n),
v_(NULL)
{
if (nRows_ < 0 || nCols_ < 0)
{
FatalErrorInFunction
<< "bad n, m " << nRows_ << ", " << nCols_
<< "Bad m, n " << nRows_ << ", " << nCols_
<< abort(FatalError);
}
@ -77,16 +70,16 @@ Foam::Matrix<Form, Type>::Matrix(const label n, const label m)
template<class Form, class Type>
Foam::Matrix<Form, Type>::Matrix(const label n, const label m, const Type& a)
Foam::Matrix<Form, Type>::Matrix(const label m, const label n, const Type& a)
:
nRows_(n),
nCols_(m),
nRows_(m),
nCols_(n),
v_(NULL)
{
if (nRows_ < 0 || nCols_ < 0)
{
FatalErrorInFunction
<< "bad n, m " << nRows_ << ", " << nCols_
<< "bad m, n " << nRows_ << ", " << nCols_
<< abort(FatalError);
}
@ -94,13 +87,10 @@ Foam::Matrix<Form, Type>::Matrix(const label n, const label m, const Type& a)
if (v_)
{
Type* v = v_[0];
label mn = nRows_*nCols_;
const label mn = size();
for (label i=0; i<mn; i++)
{
v[i] = a;
v_[i] = a;
}
}
}
@ -116,13 +106,11 @@ Foam::Matrix<Form, Type>::Matrix(const Matrix<Form, Type>& a)
if (a.v_)
{
allocate();
Type* v = v_[0];
const Type* av = a.v_[0];
label mn = nRows_*nCols_;
const label mn = size();
for (label i=0; i<mn; i++)
{
v[i] = av[i];
v_[i] = a.v_[i];
}
}
}
@ -133,12 +121,12 @@ void Foam::Matrix<Form, Type>::clear()
{
if (v_)
{
delete[] (v_[0]);
delete[] v_;
v_ = NULL;
}
nRows_ = 0;
nCols_ = 0;
v_ = NULL;
}
@ -183,12 +171,10 @@ void Foam::Matrix<Form, Type>::operator=(const Type& t)
{
if (v_)
{
Type* v = v_[0];
label mn = nRows_*nCols_;
const label mn = size();
for (label i=0; i<mn; i++)
{
v[i] = t;
v_[i] = t;
}
}
}
@ -214,13 +200,10 @@ void Foam::Matrix<Form, Type>::operator=(const Matrix<Form, Type>& a)
if (v_)
{
Type* v = v_[0];
const Type* av = a.v_[0];
label mn = nRows_*nCols_;
const label mn = size();
for (label i=0; i<mn; i++)
{
v[i] = av[i];
v_[i] = a.v_[i];
}
}
}
@ -231,12 +214,12 @@ void Foam::Matrix<Form, Type>::operator=(const Matrix<Form, Type>& a)
template<class Form, class Type>
const Type& Foam::max(const Matrix<Form, Type>& a)
{
label mn = a.m()*a.n();
const label mn = a.size();
if (mn)
{
label curMaxI = 0;
const Type* v = a[0];
const Type* v = a.v();
for (label i=1; i<mn; i++)
{
@ -263,12 +246,12 @@ const Type& Foam::max(const Matrix<Form, Type>& a)
template<class Form, class Type>
const Type& Foam::min(const Matrix<Form, Type>& a)
{
label mn = a.m()*a.n();
const label mn = a.size();
if (mn)
{
label curMinI = 0;
const Type* v = a[0];
const Type* v = a.v();
for (label i=1; i<mn; i++)
{
@ -301,10 +284,10 @@ Form Foam::operator-(const Matrix<Form, Type>& a)
if (a.m() && a.n())
{
Type* nav = na[0];
const Type* av = a[0];
Type* nav = na.v();
const Type* av = a.v();
label mn = a.m()*a.n();
const label mn = a.size();
for (label i=0; i<mn; i++)
{
nav[i] = -av[i];
@ -336,11 +319,11 @@ Form Foam::operator+(const Matrix<Form, Type>& a, const Matrix<Form, Type>& b)
Form ab(a.m(), a.n());
Type* abv = ab[0];
const Type* av = a[0];
const Type* bv = b[0];
Type* abv = ab.v();
const Type* av = a.v();
const Type* bv = b.v();
label mn = a.m()*a.n();
const label mn = a.size();
for (label i=0; i<mn; i++)
{
abv[i] = av[i] + bv[i];
@ -371,11 +354,11 @@ Form Foam::operator-(const Matrix<Form, Type>& a, const Matrix<Form, Type>& b)
Form ab(a.m(), a.n());
Type* abv = ab[0];
const Type* av = a[0];
const Type* bv = b[0];
Type* abv = ab.v();
const Type* av = a.v();
const Type* bv = b.v();
label mn = a.m()*a.n();
const label mn = a.size();
for (label i=0; i<mn; i++)
{
abv[i] = av[i] - bv[i];
@ -392,10 +375,10 @@ Form Foam::operator*(const scalar s, const Matrix<Form, Type>& a)
if (a.m() && a.n())
{
Type* sav = sa[0];
const Type* av = a[0];
Type* sav = sa.v();
const Type* av = a.v();
label mn = a.m()*a.n();
const label mn = a.size();
for (label i=0; i<mn; i++)
{
sav[i] = s*av[i];

30
src/OpenFOAM/matrices/Matrix/Matrix.H
View File

@ -79,10 +79,9 @@ class Matrix
label nRows_, nCols_;
//- Row pointers
Type** __restrict__ v_;
Type* __restrict__ v_;
//- Allocate the storage for the row-pointers and the data
// and set the row pointers
//- Allocate the storage for the element vector
void allocate();
@ -100,11 +99,11 @@ public:
inline Matrix();
//- Construct given number of rows and columns.
Matrix(const label n, const label m);
Matrix(const label m, const label n);
//- Construct with given number of rows and columns
// and value for all elements.
Matrix(const label n, const label m, const Type&);
Matrix(const label m, const label n, const Type&);
//- Copy constructor.
Matrix(const Matrix<Form, Type>&);
@ -130,16 +129,16 @@ public:
//- Return the number of columns
inline label n() const;
//- Return the number of elements in matrix (n*m)
//- Return the number of elements in matrix (m*n)
inline label size() const;
// Check
//- Check index i is within valid range (0 ... n-1).
//- Check index i is within valid range (0 ... m-1).
inline void checki(const label i) const;
//- Check index j is within valid range (0 ... m-1).
//- Check index j is within valid range (0 ... n-1).
inline void checkj(const label j) const;
@ -159,12 +158,24 @@ public:
// Member operators
//- Return element vector of the constant Matrix
inline const Type* v() const;
//- Return element vector of the Matrix
inline Type* v();
//- Return subscript-checked row of Matrix.
inline Type* operator[](const label);
//- Return subscript-checked row of constant Matrix.
inline const Type* operator[](const label) const;
//- (i, j) const element access operator
inline const Type& operator()(const label i, const label j) const;
//- (i, j) element access operator
inline Type& operator()(const label i, const label j);
//- Assignment operator. Takes linear time.
void operator=(const Matrix<Form, Type>&);
@ -221,13 +232,14 @@ template<class Form, class Type> Form operator*
const Matrix<Form, Type>&
);
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
} // End namespace Foam
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
#include "MatrixI.H"
#include "MatrixI.H"
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

55
src/OpenFOAM/matrices/Matrix/MatrixI.H
View File

@ -51,7 +51,6 @@ inline const Foam::Matrix<Form, Type>& Foam::Matrix<Form, Type>::null()
}
//- Return the number of rows
template<class Form, class Type>
inline Foam::label Foam::Matrix<Form, Type>::m() const
{
@ -76,6 +75,7 @@ inline Foam::label Foam::Matrix<Form, Type>::size() const
template<class Form, class Type>
inline void Foam::Matrix<Form, Type>::checki(const label i) const
{
#ifdef FULLDEBUG
if (!nRows_)
{
FatalErrorInFunction
@ -88,12 +88,14 @@ inline void Foam::Matrix<Form, Type>::checki(const label i) const
<< "index " << i << " out of range 0 ... " << nRows_-1
<< abort(FatalError);
}
#endif
}
template<class Form, class Type>
inline void Foam::Matrix<Form, Type>::checkj(const label j) const
{
#ifdef FULLDEBUG
if (!nCols_)
{
FatalErrorInFunction
@ -106,28 +108,65 @@ inline void Foam::Matrix<Form, Type>::checkj(const label j) const
<< "index " << j << " out of range 0 ... " << nCols_-1
<< abort(FatalError);
}
#endif
}
// * * * * * * * * * * * * * * * Member Operators * * * * * * * * * * * * * //
template<class Form, class Type>
inline Type* Foam::Matrix<Form, Type>::operator[](const label i)
inline const Type* Foam::Matrix<Form, Type>::v() const
{
return v_;
}
template<class Form, class Type>
inline Type* Foam::Matrix<Form, Type>::v()
{
return v_;
}
template<class Form, class Type>
inline const Type& Foam::Matrix<Form, Type>::operator()
(
const label i,
const label j
) const
{
#ifdef FULLDEBUG
checki(i);
#endif
return v_[i];
checki(j);
return v_[i*nCols_ + j];
}
template<class Form, class Type>
inline Type& Foam::Matrix<Form, Type>::operator()
(
const label i,
const label j
)
{
checki(i);
checki(j);
return v_[i*nCols_ + j];
}
template<class Form, class Type>
inline const Type* Foam::Matrix<Form, Type>::operator[](const label i) const
{
#ifdef FULLDEBUG
checki(i);
#endif
return v_[i];
return v_ + i*nCols_;
}
template<class Form, class Type>
inline Type* Foam::Matrix<Form, Type>::operator[](const label i)
{
checki(i);
return v_ + i*nCols_;
}

8
src/OpenFOAM/matrices/Matrix/MatrixIO.C
View File

@ -73,7 +73,7 @@ Foam::Istream& Foam::operator>>(Istream& is, Matrix<Form, Type>& M)
if (mn)
{
M.allocate();
Type* v = M.v_[0];
Type* v = M.v_;
if (listDelimiter == token::BEGIN_LIST)
{
@ -124,7 +124,7 @@ Foam::Istream& Foam::operator>>(Istream& is, Matrix<Form, Type>& M)
if (mn)
{
M.allocate();
Type* v = M.v_[0];
Type* v = M.v_;
is.read(reinterpret_cast<char*>(v), mn*sizeof(Type));
@ -162,7 +162,7 @@ Foam::Ostream& Foam::operator<<(Ostream& os, const Matrix<Form, Type>& M)
{
bool uniform = false;
const Type* v = M.v_[0];
const Type* v = M.v_;
if (mn > 1 && contiguous<Type>())
{
@ -248,7 +248,7 @@ Foam::Ostream& Foam::operator<<(Ostream& os, const Matrix<Form, Type>& M)
{
if (mn)
{
os.write(reinterpret_cast<const char*>(M.v_[0]), mn*sizeof(Type));
os.write(reinterpret_cast<const char*>(M.v_), mn*sizeof(Type));
}
}

2
src/OpenFOAM/matrices/scalarMatrices/scalarMatricesTemplates.C
View File

@ -56,8 +56,6 @@ void Foam::solve
if (i != iMax)
{
//Info<< "Pivoted on " << i << " " << iMax << endl;
for (label k=i; k<m; k++)
{
Swap(tmpMatrix[i][k], tmpMatrix[iMax][k]);

6
src/OpenFOAM/primitives/MatrixSpace/MatrixSpace.H
View File

@ -279,12 +279,12 @@ public:
//- (i, j) const element access operator
inline const Cmpt& operator()
(
const direction& row,
const direction& col
const direction& i,
const direction& j
) const;
//- (i, j) element access operator
inline Cmpt& operator()(const direction& row, const direction& col);
inline Cmpt& operator()(const direction& i, const direction& j);
// Member Operators

16
src/OpenFOAM/primitives/MatrixSpace/MatrixSpaceI.H
View File

@ -322,12 +322,12 @@ Foam::MatrixSpace<Form, Cmpt, Nrows, Ncols>::block()
template<class Form, class Cmpt, Foam::direction Nrows, Foam::direction Ncols>
inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Nrows, Ncols>::operator()
(
const direction& row,
const direction& col
const direction& i,
const direction& j
) const
{
#ifdef FULLDEBUG
if (row < 0 || row > Nrows-1 || col < 0 || col > Ncols-1)
if (i < 0 || i > Nrows-1 || j < 0 || j > Ncols-1)
{
FatalErrorInFunction
<< "indices out of range"
@ -335,19 +335,19 @@ inline const Cmpt& Foam::MatrixSpace<Form, Cmpt, Nrows, Ncols>::operator()
}
#endif
return this->v_[row*Ncols + col];
return this->v_[i*Ncols + j];
}
template<class Form, class Cmpt, Foam::direction Nrows, Foam::direction Ncols>
inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Nrows, Ncols>::operator()
(
const direction& row,
const direction& col
const direction& i,
const direction& j
)
{
#ifdef FULLDEBUG
if (row < 0 || row > Nrows-1 || col < 0 || col > Ncols-1)
if (i < 0 || i > Nrows-1 || j < 0 || j > Ncols-1)
{
FatalErrorInFunction
<< "indices out of range"
@ -355,7 +355,7 @@ inline Cmpt& Foam::MatrixSpace<Form, Cmpt, Nrows, Ncols>::operator()
}
#endif
return this->v_[row*Ncols + col];
return this->v_[i*Ncols + j];
}