SimpleMatrix::SimpleMatrix(const SiconosMatrix &m): SiconosMatrix(m.getNum()), _isPLUFactorized(), _isQRFactorized(false), _isPLUInversed(false)
{
// num is set in SiconosMatrix constructor with m.getNum() ... must be changed if m is Block
unsigned int numM = m.getNum();
_isPLUFactorized= m.isPLUFactorized();
_isPLUInversed= m.isPLUInversed();
if (m.ipiv())
_ipiv.reset(new VInt(*(m.ipiv())));
if (numM == 0) // ie if m is Block, this matrix is set to a dense.
{
const BlockMatrix& mB = static_cast<const BlockMatrix&>(m);
num = 1;
// get number of blocks in a row/col of m.
mat.Dense = new DenseMat(m.size(0), m.size(1));
ConstBlocksIterator1 it;
ConstBlocksIterator2 it2;
unsigned int posRow = 0;
unsigned int posCol = 0;
for (it = mB._mat->begin1(); it != mB._mat->end1(); ++it)
{
for (it2 = it.begin(); it2 != it.end(); ++it2)
{
setBlock(posRow, posCol, **it2);
posCol += (*it2)->size(1);
}
posRow += (*it)->size(0);
posCol = 0;
}
}
else if (num == 1)
{
mat.Dense = new DenseMat(m.size(0), m.size(1));
noalias(*mat.Dense) = (*m.dense());
}
else if (num == 2)
mat.Triang = new TriangMat(*m.triang());
else if (num == 3)
mat.Sym = new SymMat(*m.sym());
else if (num == 4)
mat.Sparse = new SparseMat(*m.sparse());
else if (num == 5)
mat.Banded = new BandedMat(*m.banded());
else if (num == 6)
mat.Zero = new ZeroMat(m.size(0), m.size(1));
else // if(num == 7)
mat.Identity = new IdentityMat(m.size(0), m.size(1));
}
SimpleMatrix operator * (double a, const SiconosMatrix & A)
{
// To compute B = a * A
unsigned int numA = A.getNum();
if (numA == 6) // if A = 0
{
//DenseMat p(zero_matrix(A.size(0),A.size(1)));
//return p;
return A;
}
else if (numA == 7)
{
return (DenseMat)(a**A.identity());
}
else if (numA == 0) // A block
{
SimpleMatrix tmp(A); // ... copy ...
tmp *= a;
return tmp;
}
else if (numA == 1) // dense)
return (DenseMat)(a** A.dense());
else if (numA == 2)
return (TriangMat)(a ** A.triang());
else if (numA == 3)
return (SymMat)(a ** A.sym());
else if (numA == 4)
return (SparseMat)(a ** A.sparse());
else //if(numA==5)
return (BandedMat)(a ** A.banded());
}
void private_addprod(const SiconosMatrix& A, unsigned startRow, unsigned int startCol, const SiconosVector& x, SiconosVector& y)
{
assert(!(A.isPLUFactorized()) && "A is PLUFactorized in prod !!");
assert(!A.isBlock() && "private_addprod(A,start,x,y) error: not yet implemented for block matrix.");
// we take a submatrix subA of A, starting from row startRow to row (startRow+sizeY) and between columns startCol and (startCol+sizeX).
// Then computation of y = subA*x + y.
unsigned int numA = A.getNum();
unsigned int numY = y.getNum();
unsigned int numX = x.getNum();
unsigned int sizeX = x.size();
unsigned int sizeY = y.size();
assert(numX == numY && "private_addprod(A,start,x,y) error: not yet implemented for x and y of different types.");
if (numY == 1 && numX == 1)
{
assert(y.dense() != x.dense());
if (numA == 1)
noalias(*y.dense()) += prod(ublas::subrange(*A.dense(), startRow, startRow + sizeY, startCol, startCol + sizeX), *x.dense());
else if (numA == 2)
noalias(*y.dense()) += prod(ublas::subrange(*A.triang(), startRow, startRow + sizeY, startCol, startCol + sizeX), *x.dense());
else if (numA == 3)
noalias(*y.dense()) += prod(ublas::subrange(*A.sym(), startRow, startRow + sizeY, startCol, startCol + sizeX), *x.dense());
else if (numA == 4)
noalias(*y.dense()) += prod(ublas::subrange(*A.sparse(), startRow, startRow + sizeY, startCol, startCol + sizeX), *x.dense());
else //if(numA==5)
noalias(*y.dense()) += prod(ublas::subrange(*A.banded(), startRow, startRow + sizeY, startCol, startCol + sizeX), *x.dense());
}
else // x and y sparse
{
if (numA == 4)
*y.sparse() += prod(ublas::subrange(*A.sparse(), startRow, startRow + sizeY, startCol, startCol + sizeX), *x.sparse());
else
SiconosMatrixException::selfThrow("private_addprod(A,start,x,y) error: not yet implemented for x, y sparse and A not sparse.");
}
}
const SimpleMatrix operator / (const SiconosMatrix & A, double a)
{
// To compute B = A/a
if (a == 0.0)
SiconosMatrixException::selfThrow(" Matrix, operator / , division by zero.");
unsigned int numA = A.getNum();
if (numA == 6) // if A = 0
{
//DenseMat p(zero_matrix(A.size(0),A.size(1)));
//return p;
return A;
}
else if (numA == 7)
{
return (DenseMat)(*A.identity() / a);
}
else if (numA == 0) // A block
{
SimpleMatrix tmp(A); // ... copy ...
tmp /= a;
return tmp;
}
else if (numA == 1) // dense)
return (DenseMat)(*A.dense() / a);
else if (numA == 2)
return (TriangMat)(*A.triang() / a);
else if (numA == 3)
return (SymMat)(*A.sym() / a);
else if (numA == 4)
return (SparseMat)(*A.sparse() / a);
else //if(numA==5)
return (BandedMat)(*A.banded() / a);
}
bool write(const std::string& fileName, const std::string& mode, const SiconosMatrix& m, const std::string& outputType)
{
// Open file and various checks
std::ofstream outfile;
if (mode == "ascii")
outfile.open(fileName.c_str(), std::ofstream::out);
else if (mode == "binary")
outfile.open(fileName.c_str(), std::ofstream::binary);
else
SiconosMatrixException::selfThrow("ioMatrix::write Incorrect mode for writing");
if (!outfile.good())
SiconosMatrixException::selfThrow("ioMatrix:: write error : Fail to open \"" + fileName + "\"");
if (m.isBlock())
SiconosMatrixException::selfThrow("ioMatrix:: write error : not yet implemented for BlockMatrix");
outfile.precision(15);
outfile.setf(std::ios::scientific);
// Writing
if (outputType != "noDim")
outfile << m.size(0) << " " << m.size(1) << std::endl;
if (m.getNum() == 1)
{
// DenseMat * p = m.dense();
DenseMat::iterator1 row;
DenseMat::iterator2 col;
double tmp;
for (unsigned int i = 0; i < m.size(0); i++)
{
for (unsigned int j = 0; j < m.size(1); j++)
{
tmp = m(i, j);
if (fabs(tmp) < std::numeric_limits<double>::min()) tmp = 0.0;
outfile << tmp << " " ;
assert(outfile.good());
}
outfile << std::endl;
}
}
else if (m.getNum() == 2)
{
TriangMat * p = m.triang();
TriangMat::iterator1 row;
for (row = p->begin1(); row != p->end1() ; ++row)
{
std::copy(row.begin(), row.end(), std::ostream_iterator<double>(outfile, " "));
outfile << std::endl;
}
}
else if (m.getNum() == 3)
{
SymMat * p = m.sym();
SymMat::iterator1 row;
for (row = p->begin1(); row != p->end1() ; ++row)
{
std::copy(row.begin(), row.end(), std::ostream_iterator<double>(outfile, " "));
outfile << std::endl;
}
}
else if (m.getNum() == 4)
{
SparseMat * p = m.sparse();
SparseMat::iterator1 row;
for (row = p->begin1(); row != p->end1() ; ++row)
{
std::copy(row.begin(), row.end(), std::ostream_iterator<double>(outfile, " "));
outfile << std::endl;
}
}
else
{
BandedMat * p = m.banded();
BandedMat::iterator1 row;
for (row = p->begin1(); row != p->end1() ; ++row)
{
std::copy(row.begin(), row.end(), std::ostream_iterator<double>(outfile, " "));
outfile << std::endl;
}
}
outfile.close();
return true;
}
void add(const SiconosMatrix & A, const SiconosMatrix& B, SiconosMatrix& C)
{
// To compute C = A + B in an "optimized" way (in comparison with operator +)
if ((A.size(0) != B.size(0)) || (A.size(1) != B.size(1)))
SiconosMatrixException::selfThrow("Matrix addition: inconsistent sizes");
if ((A.size(0) != C.size(0)) || (A.size(1) != C.size(1)))
SiconosMatrixException::selfThrow("Matrix addition: inconsistent sizes");
unsigned int numA = A.getNum();
unsigned int numB = B.getNum();
unsigned int numC = C.getNum();
// === if C is zero or identity => read-only ===
if (numC == 6 || numC == 7)
SiconosMatrixException::selfThrow("Matrix addition ( add(A,B,C) ): wrong type for resulting matrix C (read-only: zero or identity).");
// === common memory between A, B, C ===
if (&A == &C) // A and C have common memory
{
C += B;
}
else if (&B == &C) // B and C have common memory
{
C += A;
}
else // No common memory between C and A or B.
{
if (numA == 6) // A = 0
C = B ;
else if (numB == 6) // B = 0
C = A;
else // A and B different from 0
{
if (numC == 0) // if C is Block
{
if (numA != 0) // A simple, whatever is B
{
C = A;
C += B;
}
else // A Block
{
C = B;
C += A;
}
}
else // if C is a SimpleMatrix
{
if (numA == numB && numA != 0) // A and B are of the same type and NOT block
{
if (numC == numA)
{
if (numA == 1)
noalias(*C.dense()) = *A.dense() + *B.dense();
else if (numA == 2)
noalias(*C.triang()) = *A.triang() + *B.triang();
else if (numA == 3)
noalias(*C.sym()) = *A.sym() + *B.sym();
else if (numA == 4)
noalias(*C.sparse()) = *A.sparse() + *B.sparse();
else //if(numA==5)
noalias(*C.banded()) = *A.banded() + *B.banded();
}
else // C and A of different types.
{
if (numC != 1)
SiconosMatrixException::selfThrow("Matrix addition ( add(A,B,C) ): wrong type for resulting matrix C.");
// Only dense matrices are allowed for output.
if (numA == 1)
noalias(*C.dense()) = *A.dense() + *B.dense();
else if (numA == 2)
noalias(*C.dense()) = *A.triang() + *B.triang();
else if (numA == 3)
noalias(*C.dense()) = *A.sym() + *B.sym();
else if (numA == 4)
noalias(*C.dense()) = *A.sparse() + *B.sparse();
else //if(numA==5)
noalias(*C.dense()) = *A.banded() + *B.banded();
}
C.resetLU();
}
else if (numA != 0 && numB != 0 && numA != numB) // A and B of different types and none is block
{
if (numC != 1)
SiconosMatrixException::selfThrow("Matrix addition ( add(A,B,C) ): wrong type for resulting matrix C.");
// Only dense matrices are allowed for output.
if (numA == 1)
switch (numB)
{
case 2:
noalias(*C.dense()) = *A.dense() + *B.triang();
break;
case 3:
noalias(*C.dense()) = *A.dense() + *B.sym();
break;
case 4:
noalias(*C.dense()) = *A.dense() + *B.sparse();
break;
case 5:
noalias(*C.dense()) = *A.dense() + *B.banded();
break;
case 7:
noalias(*C.dense()) = *A.dense() + *B.identity();
break;
default:
SiconosMatrixException::selfThrow("Matrix function add(A,B,C): invalid type of matrix");
}
else if (numA == 2)
switch (numB)
{
case 1:
noalias(*C.dense()) = *A.triang() + *B.dense();
break;
case 3:
noalias(*C.dense()) = *A.triang() + *B.sym();
break;
case 4:
noalias(*C.dense()) = *A.triang() + *B.sparse();
break;
case 5:
noalias(*C.dense()) = *A.triang() + *B.banded();
break;
case 7:
noalias(*C.dense()) = *A.triang() + *B.identity();
break;
default:
SiconosMatrixException::selfThrow("Matrix function add(A,B,C): invalid type of matrix");
}
else if (numA == 3)
switch (numB)
{
case 1:
noalias(*C.dense()) = *A.sym() + *B.dense();
break;
case 2:
noalias(*C.dense()) = *A.sym() + *B.triang();
break;
case 4:
noalias(*C.dense()) = *A.sym() + *B.sparse();
break;
case 5:
noalias(*C.dense()) = *A.sym() + *B.banded();
break;
case 7:
noalias(*C.dense()) = *A.sym() + *B.identity();
break;
default:
SiconosMatrixException::selfThrow("Matrix function add(A,B,C): invalid type of matrix");
}
else if (numA == 4)
switch (numB)
{
case 1:
noalias(*C.dense()) = *A.sparse() + *B.dense();
break;
case 2:
noalias(*C.dense()) = *A.sparse() + *B.triang();
break;
case 3:
noalias(*C.dense()) = *A.sparse() + *B.sym();
break;
case 5:
noalias(*C.dense()) = *A.sparse() + *B.banded();
break;
case 7:
noalias(*C.dense()) = *A.sparse() + *B.identity();
break;
default:
SiconosMatrixException::selfThrow("Matrix function add(A,B,C): invalid type of matrix");
}
else if (numA == 5)
switch (numB)
{
case 1:
noalias(*C.dense()) = *A.banded() + *B.dense();
break;
case 2:
noalias(*C.dense()) = *A.banded() + *B.triang();
break;
case 3:
noalias(*C.dense()) = *A.banded() + *B.sym();
break;
case 4:
noalias(*C.dense()) = *A.banded() + *B.sparse();
break;
case 7:
noalias(*C.dense()) = *A.banded() + *B.identity();
break;
default:
SiconosMatrixException::selfThrow("Matrix function add(A,B,C): invalid type of matrix");
}
else if (numA == 7)
switch (numB)
{
case 1:
noalias(*C.dense()) = *A.identity() + *B.dense();
break;
case 2:
noalias(*C.dense()) = *A.identity() + *B.triang();
break;
case 3:
noalias(*C.dense()) = *A.identity() + *B.sym();
break;
case 4:
noalias(*C.dense()) = *A.identity() + *B.sparse();
break;
case 5:
noalias(*C.dense()) = *A.identity() + *B.banded();
break;
default:
SiconosMatrixException::selfThrow("Matrix function add(A,B,C): invalid type of matrix");
}
else
SiconosMatrixException::selfThrow("Matrix function add(A,B,C): invalid type of matrix");
C.resetLU();
}
else // A and/or B is Block
{
if (numA != 0) // A Simple, whatever is B
{
C = A;
C += B;
}
else // A Block
{
C = B;
C += A;
}
}
}
}
}
}
const SimpleMatrix operator - (const SiconosMatrix& A, const SiconosMatrix& B)
{
// To compute C = A - B
if ((A.size(0) != B.size(0)) || (A.size(1) != B.size(1)))
SiconosMatrixException::selfThrow("Matrix operator - : inconsistent sizes");
unsigned int numA = A.getNum();
unsigned int numB = B.getNum();
// == B equal to null ==
if (numB == 6)
return SimpleMatrix(A);
// == B different from 0 ==
if (numA == numB && numA != 0) // all matrices are of the same type and NOT block
{
if (numA == 1)
return (DenseMat)(*A.dense() - *B.dense());
else if (numA == 2)
return (TriangMat)(*A.triang() - *B.triang());
else if (numA == 3)
return (SymMat)(*A.sym() - *B.sym());
else if (numA == 4)
{
SparseMat tmp(*A.sparse());
tmp -= *B.sparse();
return tmp;
//return (SparseMat)(*A.sparse() - *B.sparse());
}
else //if(numA==5)
{
BandedMat tmp(*A.banded());
tmp -= *B.banded();
return tmp;
//return (BandedMat)(*A.banded() - *B.banded());
}
}
else if (numA != 0 && numB != 0 && numA != numB) // A and B of different types and none is block
{
if (numA == 1)
{
if (numB == 2)
return (DenseMat)(*A.dense() - *B.triang());
else if (numB == 3)
return (DenseMat)(*A.dense() - *B.sym());
else if (numB == 4)
return (DenseMat)(*A.dense() - *B.sparse());
else if (numB == 5)
return (DenseMat)(*A.dense() - *B.banded());
else // if(numB ==7)
return (DenseMat)(*A.dense() - *B.identity());
}
else if (numA == 2)
{
if (numB == 1)
return (DenseMat)(*A.triang() - *B.dense());
else if (numB == 3)
return (DenseMat)(*A.triang() - *B.sym());
else if (numB == 4)
return (DenseMat)(*A.triang() - *B.sparse());
else if (numB == 5)
return (DenseMat)(*A.triang() - *B.banded());
else // if(numB ==7:
return (DenseMat)(*A.triang() - *B.identity());
}
else if (numA == 3)
{
if (numB == 1)
return (DenseMat)(*A.sym() - *B.dense());
else if (numB == 2)
return (DenseMat)(*A.sym() - *B.triang());
else if (numB == 4)
return (DenseMat)(*A.sym() - *B.sparse());
else if (numB == 5)
return (DenseMat)(*A.sym() - *B.banded());
else // if(numB ==7)
return (DenseMat)(*A.sym() - *B.identity());
}
else if (numA == 4)
{
if (numB == 1)
return (DenseMat)(*A.sparse() - *B.dense());
else if (numB == 2)
return (DenseMat)(*A.sparse() - *B.triang());
else if (numB == 3)
return (DenseMat)(*A.sparse() - *B.sym());
else if (numB == 5)
return (DenseMat)(*A.sparse() - *B.banded());
else // if(numB ==7)
return (DenseMat)(*A.sparse() - *B.identity());
}
else if (numA == 5)
{
if (numB == 1)
return (DenseMat)(*A.banded() - *B.dense());
else if (numB == 2)
return (DenseMat)(*A.banded() - *B.triang());
else if (numB == 3)
return (DenseMat)(*A.banded() - *B.sym());
else if (numB == 4)
return (DenseMat)(*A.banded() - *B.sparse());
else //if(numB ==7)
return (DenseMat)(*A.banded() - *B.identity());
}
else if (numA == 6)
{
if (numB == 1)
return (DenseMat)(*A.zero_mat() - *B.dense());
else if (numB == 2)
return (DenseMat)(*A.zero_mat() - *B.triang());
else if (numB == 3)
return (DenseMat)(*A.zero_mat() - *B.sym());
else if (numB == 4)
return (DenseMat)(*A.zero_mat() - *B.sparse());
else //if(numB ==7)
return (DenseMat)(*A.zero_mat() - *B.identity());
}
else //if(numA==7)
{
if (numB == 1)
return (DenseMat)(*A.identity() - *B.dense());
else if (numB == 2)
return (DenseMat)(*A.identity() - *B.triang());
else if (numB == 3)
return (DenseMat)(*A.identity() - *B.sym());
else if (numB == 4)
return (DenseMat)(*A.identity() - *B.sparse());
else //if(numB ==5)
return (DenseMat)(*A.identity() - *B.banded());
}
}
else // A and/or B are/is Block
{
SimpleMatrix tmp(A);
tmp -= B;
return tmp;
}
}
const SimpleMatrix operator + (const SiconosMatrix& A, const SiconosMatrix& B)
{
// To compute C = A + B
if ((A.size(0) != B.size(0)) || (A.size(1) != B.size(1)))
SiconosMatrixException::selfThrow("Matrix operator + : inconsistent sizes");
unsigned int numA = A.getNum();
unsigned int numB = B.getNum();
// == A or B equal to null ==
if (numA == 6) // A = 0
{
if (numB == 6) // B = 0
return SimpleMatrix(A.size(0), A.size(1));
else
return SimpleMatrix(B);
}
if (numB == 6)
return SimpleMatrix(A);
// == A and B different from 0 ==
if (numA == numB && numA != 0) // all matrices are of the same type and NOT block
{
if (numA == 1)
return (DenseMat)(*A.dense() + *B.dense());
else if (numA == 2)
return (TriangMat)(*A.triang() + *B.triang());
else if (numA == 3)
return (SymMat)(*A.sym() + *B.sym());
else if (numA == 4)
{
SparseMat tmp(*A.sparse());
tmp += *B.sparse();
return tmp;
// return (SparseMat)(*A.sparse() + *B.sparse());
}
else //if(numA==5)
{
BandedMat tmp(*A.banded());
tmp += *B.banded();
return tmp;
}
}
else if (numA != 0 && numB != 0 && numA != numB) // A and B of different types and none is block
{
if (numA == 1)
{
if (numB == 2)
return (DenseMat)(*A.dense() + *B.triang());
else if (numB == 3)
return (DenseMat)(*A.dense() + *B.sym());
else if (numB == 4)
return (DenseMat)(*A.dense() + *B.sparse());
else if (numB == 5)
return (DenseMat)(*A.dense() + *B.banded());
else // if(numB ==7)
return (DenseMat)(*A.dense() + *B.identity());
}
else if (numA == 2)
{
if (numB == 1)
return (DenseMat)(*A.triang() + *B.dense());
else if (numB == 3)
return (DenseMat)(*A.triang() + *B.sym());
else if (numB == 4)
return (DenseMat)(*A.triang() + *B.sparse());
else if (numB == 5)
return (DenseMat)(*A.triang() + *B.banded());
else // if(numB ==7:
return (DenseMat)(*A.triang() + *B.identity());
}
else if (numA == 3)
{
if (numB == 1)
return (DenseMat)(*A.sym() + *B.dense());
else if (numB == 2)
return (DenseMat)(*A.sym() + *B.triang());
else if (numB == 4)
return (DenseMat)(*A.sym() + *B.sparse());
else if (numB == 5)
return (DenseMat)(*A.sym() + *B.banded());
else // if(numB ==7)
return (DenseMat)(*A.sym() + *B.identity());
}
else if (numA == 4)
{
if (numB == 1)
return (DenseMat)(*A.sparse() + *B.dense());
else if (numB == 2)
return (DenseMat)(*A.sparse() + *B.triang());
else if (numB == 3)
return (DenseMat)(*A.sparse() + *B.sym());
else if (numB == 5)
return (DenseMat)(*A.sparse() + *B.banded());
else // if(numB ==7)
return (DenseMat)(*A.sparse() + *B.identity());
}
else if (numA == 5)
{
if (numB == 1)
return (DenseMat)(*A.banded() + *B.dense());
else if (numB == 2)
return (DenseMat)(*A.banded() + *B.triang());
else if (numB == 3)
return (DenseMat)(*A.banded() + *B.sym());
else if (numB == 4)
return (DenseMat)(*A.banded() + *B.sparse());
else //if(numB ==7)
return (DenseMat)(*A.banded() + *B.identity());
}
else //if(numA==7)
{
if (numB == 1)
return (DenseMat)(*A.identity() + *B.dense());
else if (numB == 2)
return (DenseMat)(*A.identity() + *B.triang());
else if (numB == 3)
return (DenseMat)(*A.identity() + *B.sym());
else if (numB == 4)
return (DenseMat)(*A.identity() + *B.sparse());
else //if(numB ==5)
return (DenseMat)(*A.identity() + *B.banded());
}
}
else if (numB != 0) // B Simple, whatever is A
{
SimpleMatrix tmp(B);
tmp += A;
return tmp;
}
else // B Block, A simple or block
{
SimpleMatrix tmp(A);
tmp += B;
return tmp;
}
}