Matrix<Num, 3, 1> r3;
r3 << -1, -4, -6;
-
Matrix<Num, 2, 2> a;
a << 1, 2, 3, 4;
Matrix<Num, Dynamic, Dynamic> b(2, 2);
b << 2, 3, 1, 4;
- std::cout << "a + b =\n" << a + b << std::endl;
+ std::cout << "a + b =\n"
+ << a + b << std::endl;
BOOST_CHECK_EQUAL(a + b, r1);
- std::cout << "a - b =\n" << a - b << std::endl;
+ std::cout << "a - b =\n"
+ << a - b << std::endl;
BOOST_CHECK_EQUAL(a - b, r2);
std::cout << "Doing a += b;" << std::endl;
a += b;
- std::cout << "Now a =\n" << a << std::endl;
+ std::cout << "Now a =\n"
+ << a << std::endl;
Matrix<Num, 3, 1> v(1, 2, 3);
Matrix<Num, 3, 1> w(1, 0, 0);
- std::cout << "-v + w - v =\n" << -v + w - v << std::endl;
+ std::cout << "-v + w - v =\n"
+ << -v + w - v << std::endl;
BOOST_CHECK_EQUAL(-v + w - v, r3);
}
Matrix<Num, 2, 2> a;
a << 1, 2, 3, 4;
Matrix<Num, 3, 1> v(1, 2, 3);
- std::cout << "a * 2.5 =\n" << a * 2.5 << std::endl;
- std::cout << "0.1 * v =\n" << 0.1 * v << std::endl;
+ std::cout << "a * 2.5 =\n"
+ << a * 2.5 << std::endl;
+ std::cout << "0.1 * v =\n"
+ << 0.1 * v << std::endl;
std::cout << "Doing v *= 2;" << std::endl;
v *= 2;
- std::cout << "Now v =\n" << v << std::endl;
+ std::cout << "Now v =\n"
+ << v << std::endl;
Num n(4);
std::cout << "Doing v *= Num;" << std::endl;
v *= n;
- std::cout << "Now v =\n" << v << std::endl;
+ std::cout << "Now v =\n"
+ << v << std::endl;
typedef typename related_number<Num>::type related_type;
- related_type r(6);
+ related_type r(6);
std::cout << "Doing v *= RelatedType;" << std::endl;
v *= r;
- std::cout << "Now v =\n" << v << std::endl;
- std::cout << "RelatedType * v =\n" << r * v << std::endl;
+ std::cout << "Now v =\n"
+ << v << std::endl;
+ std::cout << "RelatedType * v =\n"
+ << r * v << std::endl;
std::cout << "Doing v *= RelatedType^2;" << std::endl;
v *= r * r;
- std::cout << "Now v =\n" << v << std::endl;
- std::cout << "RelatedType^2 * v =\n" << r * r * v << std::endl;
+ std::cout << "Now v =\n"
+ << v << std::endl;
+ std::cout << "RelatedType^2 * v =\n"
+ << r * r * v << std::endl;
}
template <class Num>
{
using namespace std;
Matrix<Num, Dynamic, Dynamic> a = Matrix<Num, Dynamic, Dynamic>::Random(2, 2);
- cout << "Here is the matrix a\n" << a << endl;
- cout << "Here is the matrix a^T\n" << a.transpose() << endl;
- cout << "Here is the conjugate of a\n" << a.conjugate() << endl;
- cout << "Here is the matrix a^*\n" << a.adjoint() << endl;
+ cout << "Here is the matrix a\n"
+ << a << endl;
+ cout << "Here is the matrix a^T\n"
+ << a.transpose() << endl;
+ cout << "Here is the conjugate of a\n"
+ << a.conjugate() << endl;
+ cout << "Here is the matrix a^*\n"
+ << a.adjoint() << endl;
}
template <class Num>
{
Matrix<Num, 2, 2> mat;
mat << 1, 2,
- 3, 4;
+ 3, 4;
Matrix<Num, 2, 1> u(-1, 1), v(2, 0);
- std::cout << "Here is mat*mat:\n" << mat * mat << std::endl;
- std::cout << "Here is mat*u:\n" << mat * u << std::endl;
- std::cout << "Here is u^T*mat:\n" << u.transpose()*mat << std::endl;
- std::cout << "Here is u^T*v:\n" << u.transpose()*v << std::endl;
- std::cout << "Here is u*v^T:\n" << u * v.transpose() << std::endl;
+ std::cout << "Here is mat*mat:\n"
+ << mat * mat << std::endl;
+ std::cout << "Here is mat*u:\n"
+ << mat * u << std::endl;
+ std::cout << "Here is u^T*mat:\n"
+ << u.transpose() * mat << std::endl;
+ std::cout << "Here is u^T*v:\n"
+ << u.transpose() * v << std::endl;
+ std::cout << "Here is u*v^T:\n"
+ << u * v.transpose() << std::endl;
std::cout << "Let's multiply mat by itself" << std::endl;
mat = mat * mat;
- std::cout << "Now mat is mat:\n" << mat << std::endl;
+ std::cout << "Now mat is mat:\n"
+ << mat << std::endl;
}
template <class Num>
Matrix<Num, 3, 1> v(1, 2, 3);
Matrix<Num, 3, 1> w(0, 1, 2);
cout << "Dot product: " << v.dot(w) << endl;
- Num dp = v.adjoint()*w; // automatic conversion of the inner product to a scalar
+ Num dp = v.adjoint() * w; // automatic conversion of the inner product to a scalar
cout << "Dot product via a matrix product: " << dp << endl;
- cout << "Cross product:\n" << v.cross(w) << endl;
+ cout << "Cross product:\n"
+ << v.cross(w) << endl;
}
template <class Num>
using namespace std;
Matrix<Num, 2, 2> mat;
mat << 1, 2,
- 3, 4;
+ 3, 4;
cout << "Here is mat.sum(): " << mat.sum() << endl;
cout << "Here is mat.prod(): " << mat.prod() << endl;
cout << "Here is mat.mean(): " << mat.mean() << endl;
{
using namespace std;
- Array<Num, Dynamic, Dynamic> m(2, 2);
+ Array<Num, Dynamic, Dynamic> m(2, 2);
// assign some values coefficient by coefficient
- m(0, 0) = 1.0; m(0, 1) = 2.0;
- m(1, 0) = 3.0; m(1, 1) = m(0, 1) + m(1, 0);
+ m(0, 0) = 1.0;
+ m(0, 1) = 2.0;
+ m(1, 0) = 3.0;
+ m(1, 1) = m(0, 1) + m(1, 0);
// print values to standard output
- cout << m << endl << endl;
+ cout << m << endl
+ << endl;
// using the comma-initializer is also allowed
m << 1.0, 2.0,
- 3.0, 4.0;
+ 3.0, 4.0;
// print values to standard output
cout << m << endl;
Array<Num, Dynamic, Dynamic> a(3, 3);
Array<Num, Dynamic, Dynamic> b(3, 3);
a << 1, 2, 3,
- 4, 5, 6,
- 7, 8, 9;
+ 4, 5, 6,
+ 7, 8, 9;
b << 1, 2, 3,
- 1, 2, 3,
- 1, 2, 3;
+ 1, 2, 3,
+ 1, 2, 3;
// Adding two arrays
- cout << "a + b = " << endl << a + b << endl << endl;
+ cout << "a + b = " << endl
+ << a + b << endl
+ << endl;
// Subtracting a scalar from an array
- cout << "a - 2 = " << endl << a - 2 << endl;
+ cout << "a - 2 = " << endl
+ << a - 2 << endl;
}
template <class Num>
Array<Num, Dynamic, Dynamic> a(2, 2);
Array<Num, Dynamic, Dynamic> b(2, 2);
a << 1, 2,
- 3, 4;
+ 3, 4;
b << 5, 6,
- 7, 8;
- cout << "a * b = " << endl << a * b << endl;
+ 7, 8;
+ cout << "a * b = " << endl
+ << a * b << endl;
}
template <class Num>
Array<Num, Dynamic, 1> a = Array<Num, Dynamic, 1>::Random(5);
a *= 2;
cout << "a =" << endl
- << a << endl;
+ << a << endl;
cout << "a.abs() =" << endl
- << a.abs() << endl;
+ << a.abs() << endl;
cout << "a.abs().sqrt() =" << endl
- << a.abs().sqrt() << endl;
+ << a.abs().sqrt() << endl;
cout << "a.min(a.abs().sqrt()) =" << endl
- << a.min(a.abs().sqrt()) << endl;
+ << (a.min)(a.abs().sqrt()) << endl;
}
template <class Num>
Matrix<Num, Dynamic, Dynamic> n(2, 2);
Matrix<Num, Dynamic, Dynamic> result(2, 2);
m << 1, 2,
- 3, 4;
+ 3, 4;
n << 5, 6,
- 7, 8;
+ 7, 8;
result = m * n;
- cout << "-- Matrix m*n: --" << endl << result << endl << endl;
+ cout << "-- Matrix m*n: --" << endl
+ << result << endl
+ << endl;
result = m.array() * n.array();
- cout << "-- Array m*n: --" << endl << result << endl << endl;
+ cout << "-- Array m*n: --" << endl
+ << result << endl
+ << endl;
result = m.cwiseProduct(n);
- cout << "-- With cwiseProduct: --" << endl << result << endl << endl;
+ cout << "-- With cwiseProduct: --" << endl
+ << result << endl
+ << endl;
result = m.array() + 4;
- cout << "-- Array m + 4: --" << endl << result << endl << endl;
+ cout << "-- Array m + 4: --" << endl
+ << result << endl
+ << endl;
}
template <class Num>
Matrix<Num, Dynamic, Dynamic> n(2, 2);
Matrix<Num, Dynamic, Dynamic> result(2, 2);
m << 1, 2,
- 3, 4;
+ 3, 4;
n << 5, 6,
- 7, 8;
+ 7, 8;
result = (m.array() + 4).matrix() * m;
- cout << "-- Combination 1: --" << endl << result << endl << endl;
+ cout << "-- Combination 1: --" << endl
+ << result << endl
+ << endl;
result = (m.array() * n.array()).matrix() * m;
- cout << "-- Combination 2: --" << endl << result << endl << endl;
+ cout << "-- Combination 2: --" << endl
+ << result << endl
+ << endl;
}
template <class Num>
using namespace std;
Matrix<Num, Dynamic, Dynamic> m(4, 4);
m << 1, 2, 3, 4,
- 5, 6, 7, 8,
- 9, 10, 11, 12,
- 13, 14, 15, 16;
+ 5, 6, 7, 8,
+ 9, 10, 11, 12,
+ 13, 14, 15, 16;
cout << "Block in the middle" << endl;
- cout << m.template block<2, 2>(1, 1) << endl << endl;
+ cout << m.template block<2, 2>(1, 1) << endl
+ << endl;
for (int i = 1; i <= 3; ++i)
{
cout << "Block of size " << i << "x" << i << endl;
- cout << m.block(0, 0, i, i) << endl << endl;
+ cout << m.block(0, 0, i, i) << endl
+ << endl;
}
}
using namespace std;
Array<Num, 2, 2> m;
m << 1, 2,
- 3, 4;
+ 3, 4;
Array<Num, 4, 4> a = Array<Num, 4, 4>::Constant(0.6);
- cout << "Here is the array a:" << endl << a << endl << endl;
+ cout << "Here is the array a:" << endl
+ << a << endl
+ << endl;
a.template block<2, 2>(1, 1) = m;
- cout << "Here is now a with m copied into its central 2x2 block:" << endl << a << endl << endl;
+ cout << "Here is now a with m copied into its central 2x2 block:" << endl
+ << a << endl
+ << endl;
a.block(0, 0, 2, 3) = a.block(2, 1, 2, 3);
- cout << "Here is now a with bottom-right 2x3 block copied into top-left 2x2 block:" << endl << a << endl << endl;
+ cout << "Here is now a with bottom-right 2x3 block copied into top-left 2x2 block:" << endl
+ << a << endl
+ << endl;
}
template <class Num>
using namespace std;
Eigen::Matrix<Num, Dynamic, Dynamic> m(3, 3);
m << 1, 2, 3,
- 4, 5, 6,
- 7, 8, 9;
- cout << "Here is the matrix m:" << endl << m << endl;
+ 4, 5, 6,
+ 7, 8, 9;
+ cout << "Here is the matrix m:" << endl
+ << m << endl;
cout << "2nd Row: " << m.row(1) << endl;
m.col(2) += 3 * m.col(0);
cout << "After adding 3 times the first column into the third column, the matrix m is:\n";
using namespace std;
Matrix<Num, 4, 4> m;
m << 1, 2, 3, 4,
- 5, 6, 7, 8,
- 9, 10, 11, 12,
- 13, 14, 15, 16;
- cout << "m.leftCols(2) =" << endl << m.leftCols(2) << endl << endl;
- cout << "m.bottomRows<2>() =" << endl << m.template bottomRows<2>() << endl << endl;
+ 5, 6, 7, 8,
+ 9, 10, 11, 12,
+ 13, 14, 15, 16;
+ cout << "m.leftCols(2) =" << endl
+ << m.leftCols(2) << endl
+ << endl;
+ cout << "m.bottomRows<2>() =" << endl
+ << m.template bottomRows<2>() << endl
+ << endl;
m.topLeftCorner(1, 3) = m.bottomRightCorner(3, 1).transpose();
- cout << "After assignment, m = " << endl << m << endl;
+ cout << "After assignment, m = " << endl
+ << m << endl;
}
template <class Num>
using namespace std;
Array<Num, Dynamic, 1> v(6);
v << 1, 2, 3, 4, 5, 6;
- cout << "v.head(3) =" << endl << v.head(3) << endl << endl;
- cout << "v.tail<3>() = " << endl << v.template tail<3>() << endl << endl;
+ cout << "v.head(3) =" << endl
+ << v.head(3) << endl
+ << endl;
+ cout << "v.tail<3>() = " << endl
+ << v.template tail<3>() << endl
+ << endl;
v.segment(1, 4) *= 2;
- cout << "after 'v.segment(1,4) *= 2', v =" << endl << v << endl;
+ cout << "after 'v.segment(1,4) *= 2', v =" << endl
+ << v << endl;
}
template <class Num>
using namespace std;
Matrix<Num, 2, 2> mat;
mat << 1, 2,
- 3, 4;
+ 3, 4;
cout << "Here is mat.sum(): " << mat.sum() << endl;
cout << "Here is mat.prod(): " << mat.prod() << endl;
cout << "Here is mat.mean(): " << mat.mean() << endl;
using namespace std;
Matrix<Num, 2, 2> mat;
mat << 1, 2,
- 3, 4;
+ 3, 4;
cout << "Here is mat.sum(): " << mat.sum() << endl;
cout << "Here is mat.prod(): " << mat.prod() << endl;
cout << "Here is mat.mean(): " << mat.mean() << endl;
void example19()
{
using namespace std;
- Matrix<Num, Dynamic, 1> v(2);
+ Matrix<Num, Dynamic, 1> v(2);
Matrix<Num, Dynamic, Dynamic> m(2, 2), n(2, 2);
v << -1,
- 2;
+ 2;
m << 1, -2,
- -3, 4;
+ -3, 4;
cout << "v.squaredNorm() = " << v.squaredNorm() << endl;
cout << "v.norm() = " << v.norm() << endl;
cout << "v.lpNorm<1>() = " << v.template lpNorm<1>() << endl;
Matrix<Num, 3, 1> b;
A << 1, 2, 3, 4, 5, 6, 7, 8, 10;
b << 3, 3, 4;
- cout << "Here is the matrix A:\n" << A << endl;
- cout << "Here is the vector b:\n" << b << endl;
+ cout << "Here is the matrix A:\n"
+ << A << endl;
+ cout << "Here is the vector b:\n"
+ << b << endl;
Matrix<Num, 3, 1> x = A.colPivHouseholderQr().solve(b);
- cout << "The solution is:\n" << x << endl;
+ cout << "The solution is:\n"
+ << x << endl;
}
template <class Num>
Matrix<Num, 2, 2> A, b;
A << 2, -1, -1, 3;
b << 1, 2, 3, 1;
- cout << "Here is the matrix A:\n" << A << endl;
- cout << "Here is the right hand side b:\n" << b << endl;
+ cout << "Here is the matrix A:\n"
+ << A << endl;
+ cout << "Here is the right hand side b:\n"
+ << b << endl;
Matrix<Num, 2, 2> x = A.ldlt().solve(b);
- cout << "The solution is:\n" << x << endl;
+ cout << "The solution is:\n"
+ << x << endl;
}
template <class Num>
void example22()
{
using namespace std;
- Matrix<Num, Dynamic, Dynamic> A = Matrix<Num, Dynamic, Dynamic>::Random(100, 100);
- Matrix<Num, Dynamic, Dynamic> b = Matrix<Num, Dynamic, Dynamic>::Random(100, 50);
- Matrix<Num, Dynamic, Dynamic> x = A.fullPivLu().solve(b);
- Matrix<Num, Dynamic, Dynamic> axmb = A * x - b;
- double relative_error = static_cast<double>(abs(axmb.norm() / b.norm())); // norm() is L2 norm
+ Matrix<Num, Dynamic, Dynamic> A = Matrix<Num, Dynamic, Dynamic>::Random(100, 100);
+ Matrix<Num, Dynamic, Dynamic> b = Matrix<Num, Dynamic, Dynamic>::Random(100, 50);
+ Matrix<Num, Dynamic, Dynamic> x = A.fullPivLu().solve(b);
+ Matrix<Num, Dynamic, Dynamic> axmb = A * x - b;
+ double relative_error = static_cast<double>(abs(axmb.norm() / b.norm())); // norm() is L2 norm
cout << "norm1 = " << axmb.norm() << endl;
cout << "norm2 = " << b.norm() << endl;
- cout << "The relative error is:\n" << relative_error << endl;
+ cout << "The relative error is:\n"
+ << relative_error << endl;
}
template <class Num>
using namespace std;
Matrix<Num, 2, 2> A;
A << 1, 2, 2, 3;
- cout << "Here is the matrix A:\n" << A << endl;
+ cout << "Here is the matrix A:\n"
+ << A << endl;
SelfAdjointEigenSolver<Matrix<Num, 2, 2> > eigensolver(A);
if (eigensolver.info() != Success)
{
}
else
{
- cout << "The eigenvalues of A are:\n" << eigensolver.eigenvalues() << endl;
+ cout << "The eigenvalues of A are:\n"
+ << eigensolver.eigenvalues() << endl;
cout << "Here's a matrix whose columns are eigenvectors of A \n"
- << "corresponding to these eigenvalues:\n"
- << eigensolver.eigenvectors() << endl;
+ << "corresponding to these eigenvalues:\n"
+ << eigensolver.eigenvectors() << endl;
}
}
using namespace std;
Matrix<Num, 3, 3> A;
A << 1, 2, 1,
- 2, 1, 0,
- -1, 1, 2;
- cout << "Here is the matrix A:\n" << A << endl;
+ 2, 1, 0,
+ -1, 1, 2;
+ cout << "Here is the matrix A:\n"
+ << A << endl;
cout << "The determinant of A is " << A.determinant() << endl;
- cout << "The inverse of A is:\n" << A.inverse() << endl;
+ cout << "The inverse of A is:\n"
+ << A.inverse() << endl;
}
template <class Num>
example19<Num>();
example20<Num>();
example21<Num>();
-
+
//example22<Num>();
//example23<Num>();
//example24<Num>();
// example23<Num>(); //requires comparisons.
example24<Num>();
}
-
projects / platform / upstream / boost.git / blobdiff