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Commit b3572ba7 authored by Praetorius, Simon's avatar Praetorius, Simon
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Convert tabs to spaces

parent ff4baac0
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boost/numeric/itl/iteration/basic_iteration.hpp
View file @ b3572ba7
......@@ -31,46 +31,46 @@ class basic_iteration
template <class Vector>
basic_iteration(const Vector& r0, int max_iter_, Real t, Real a = Real(0))
: error(0), i(0), my_norm_r0(std::abs(two_norm(r0))),
max_iter(max_iter_), rtol_(t), atol_(a), is_finished(false), my_quite(false), my_suppress(false) { }
max_iter(max_iter_), rtol_(t), atol_(a), is_finished(false), my_quite(false), my_suppress(false) { }
/// Constructor
basic_iteration(Real nb, int max_iter_, Real t, Real a = Real(0))
: error(0), i(0), my_norm_r0(nb), max_iter(max_iter_), rtol_(t), atol_(a), is_finished(false),
my_quite(false), my_suppress(false) {}
my_quite(false), my_suppress(false) {}
virtual ~basic_iteration() {}
bool check_max()
{
if (i >= max_iter)
error= 1, is_finished= true, err_msg= "Too many iterations.";
return is_finished;
if (i >= max_iter)
error= 1, is_finished= true, err_msg= "Too many iterations.";
return is_finished;
}
/// Iteration finished according to the norm of r
template <class Vector>
bool finished(const Vector& r)
{
if (converged(two_norm(r)))
return is_finished= true;
return check_max();
if (converged(two_norm(r)))
return is_finished= true;
return check_max();
}
/// Iteration finished according to residual value r
bool finished(const Real& r)
{
if (converged(r))
return is_finished= true;
return check_max();
if (converged(r))
return is_finished= true;
return check_max();
}
/// Iteration finished according to complex residual value r
template <typename T>
bool finished(const std::complex<T>& r)
{
if (converged(std::abs(r)))
return is_finished= true;
return check_max();
if (converged(std::abs(r)))
return is_finished= true;
return check_max();
}
/// Iteration finished according to last provided residual
......@@ -84,12 +84,12 @@ class basic_iteration
bool converged() const
{
// std::cout << "abs: " << resid_ << " <= " << atol_ << '\n';
// std::cout << "rel: " << resid_ << " <= " << rtol_ << " * " << my_norm_r0
// << " = " << rtol_ * my_norm_r0 << '\n';
if (my_norm_r0 == 0)
return resid_ <= atol_; // ignore relative tolerance if |r0| is zero
return resid_ <= rtol_ * my_norm_r0 || resid_ <= atol_;
// std::cout << "abs: " << resid_ << " <= " << atol_ << '\n';
// std::cout << "rel: " << resid_ << " <= " << rtol_ << " * " << my_norm_r0
// << " = " << rtol_ * my_norm_r0 << '\n';
if (my_norm_r0 == 0)
return resid_ <= atol_; // ignore relative tolerance if |r0| is zero
return resid_ <= rtol_ * my_norm_r0 || resid_ <= atol_;
}
public:
......@@ -144,14 +144,14 @@ class basic_iteration
void update_progress(const basic_iteration& that)
{
i= that.i;
resid_= that.resid_;
if (that.error > 1) { // copy error except too many iterations
error= that.error;
err_msg= that.err_msg;
is_finished= true;
} else
finished(resid_);
i= that.i;
resid_= that.resid_;
if (that.error > 1) { // copy error except too many iterations
error= that.error;
err_msg= that.err_msg;
is_finished= true;
} else
finished(resid_);
}
protected:
......
boost/numeric/itl/iteration/cyclic_iteration.hpp
View file @ b3572ba7
......@@ -28,15 +28,15 @@ namespace itl {
void print_resid()
{
if (!this->my_quite && this->i % cycle == 0)
if (multi_print || this->i != last_print) { // Avoid multiple print-outs in same iteration
out << "iteration " << this->i << ": resid " << this->resid()
if (!this->my_quite && this->i % cycle == 0)
if (multi_print || this->i != last_print) { // Avoid multiple print-outs in same iteration
out << "iteration " << this->i << ": resid " << this->resid()
# ifdef MTL_VERBOSE_ITERATION
<< " / " << this->norm_r0 << " = " << this->resid() / this->norm_r0 << " (rel. error)"
<< " / " << this->norm_r0 << " = " << this->resid() / this->norm_r0 << " (rel. error)"
# endif
<< std::endl;
last_print= this->i;
}
<< std::endl;
last_print= this->i;
}
}
public:
......@@ -44,14 +44,14 @@ namespace itl {
/// Constructor
template <class Vector>
cyclic_iteration(const Vector& r0, int max_iter_, Real tol_, Real atol_ = Real(0), int cycle_ = 100,
OStream& out = std::cout)
: super(r0, max_iter_, tol_, atol_), cycle(cycle_), last_print(-1), multi_print(false), out(out)
OStream& out = std::cout)
: super(r0, max_iter_, tol_, atol_), cycle(cycle_), last_print(-1), multi_print(false), out(out)
{}
/// Constructor
cyclic_iteration(Real r0, int max_iter_, Real tol_, Real atol_ = Real(0), int cycle_ = 100,
OStream& out = std::cout)
: super(r0, max_iter_, tol_, atol_), cycle(cycle_), last_print(-1), multi_print(false), out(out)
OStream& out = std::cout)
: super(r0, max_iter_, tol_, atol_), cycle(cycle_), last_print(-1), multi_print(false), out(out)
{}
......@@ -62,9 +62,9 @@ namespace itl {
template <typename T>
bool finished(const T& r)
{
bool ret= super::finished(r);
print_resid();
return ret;
bool ret= super::finished(r);
print_resid();
return ret;
}
inline self& operator++() { ++this->i; return *this; } ///< Increment counter
......@@ -84,14 +84,14 @@ namespace itl {
/// Error code with final resume
int error_code() const
{
if (!this->my_suppress)
out << "finished! error code = " << this->error << '\n'
<< this->iterations() << " iterations\n"
<< this->resid() << " is actual final residual. \n"
<< this->relresid() << " is actual relative tolerance achieved. \n"
<< "Relative tol: " << this->rtol_ << " Absolute tol: " << this->atol_ << '\n'
<< "Convergence: " << pow(this->relresid(), 1.0 / double(this->iterations())) << std::endl;
return this->error;
if (!this->my_suppress)
out << "finished! error code = " << this->error << '\n'
<< this->iterations() << " iterations\n"
<< this->resid() << " is actual final residual. \n"
<< this->relresid() << " is actual relative tolerance achieved. \n"
<< "Relative tol: " << this->rtol_ << " Absolute tol: " << this->atol_ << '\n'
<< "Convergence: " << pow(this->relresid(), 1.0 / double(this->iterations())) << std::endl;
return this->error;
}
protected:
int cycle, last_print;
......
boost/numeric/itl/iteration/noisy_iteration.hpp
View file @ b3572ba7
......@@ -24,8 +24,8 @@ namespace itl {
public:
template <class Vector>
noisy_iteration(const Vector& r0, int max_iter_, Real tol_, Real atol_ = Real(0),
OStream& out = std::cout)
: cyclic_iteration<Real, OStream>(r0, max_iter_, tol_, atol_, 1, out)
OStream& out = std::cout)
: cyclic_iteration<Real, OStream>(r0, max_iter_, tol_, atol_, 1, out)
{}
};
......
boost/numeric/itl/itl_fwd.hpp
View file @ b3572ba7
......@@ -25,61 +25,61 @@ namespace itl {
namespace pc {
template <typename PC, typename Vector, bool> struct solver;
template <typename Matrix, typename Value> class identity;
// template <typename Matrix, typename Value, typename Vector> Vector solve(const identity<Matrix>&, const Vector& x);
// template <typename Matrix, typename Vector> Vector adjoint_solve(const identity<Matrix>&, const Vector& x);
template <typename PC, typename Vector, bool> struct solver;
template <typename Matrix, typename Value> class identity;
// template <typename Matrix, typename Value, typename Vector> Vector solve(const identity<Matrix>&, const Vector& x);
// template <typename Matrix, typename Vector> Vector adjoint_solve(const identity<Matrix>&, const Vector& x);
template <typename Matrix, typename Value> class diagonal;
// template <typename Matrix, typename Vector> Vector solve(const diagonal<Matrix>& P, const Vector& x);
// template <typename Matrix, typename Vector> Vector adjoint_solve(const diagonal<Matrix>& P, const Vector& x);
template <typename Matrix, typename Value> class diagonal;
// template <typename Matrix, typename Vector> Vector solve(const diagonal<Matrix>& P, const Vector& x);
// template <typename Matrix, typename Vector> Vector adjoint_solve(const diagonal<Matrix>& P, const Vector& x);
template <typename Matrix, typename Factorizer, typename Value> class ilu;
template <typename Matrix, typename Value> class ilu_0; // Maybe we should declare the default here???
template <typename Matrix, typename Value> class ilut; // Maybe we should declare the default here???
// template <typename Matrix, typename Vector> Vector solve(const ilu_0<Matrix>& P, const Vector& x);
// template <typename Matrix, typename Vector> Vector adjoint_solve(const ilu_0<Matrix>& P, const Vector& x);
template <typename Matrix, typename Factorizer, typename Value> class ilu;
template <typename Matrix, typename Value> class ilu_0; // Maybe we should declare the default here???
template <typename Matrix, typename Value> class ilut; // Maybe we should declare the default here???
// template <typename Matrix, typename Vector> Vector solve(const ilu_0<Matrix>& P, const Vector& x);
// template <typename Matrix, typename Vector> Vector adjoint_solve(const ilu_0<Matrix>& P, const Vector& x);
template <typename Matrix, typename Value> class ic_0; // Maybe we should declare the default here???
// template <typename Matrix, typename Vector> Vector solve(const ic_0<Matrix>& P, const Vector& x);
// template <typename Matrix, typename Value, typename Vector> Vector adjoint_solve(const ic_0<Matrix, Value>& P, const Vector& x);
template <typename Matrix, typename Value> class ic_0; // Maybe we should declare the default here???
// template <typename Matrix, typename Vector> Vector solve(const ic_0<Matrix>& P, const Vector& x);
// template <typename Matrix, typename Value, typename Vector> Vector adjoint_solve(const ic_0<Matrix, Value>& P, const Vector& x);
} // namespace pc
template < typename LinearOperator, typename HilbertSpaceX, typename HilbertSpaceB,
typename Preconditioner, typename Iteration >
typename Preconditioner, typename Iteration >
int cg(const LinearOperator& A, HilbertSpaceX& x, const HilbertSpaceB& b,
const Preconditioner& M, Iteration& iter);
const Preconditioner& M, Iteration& iter);
template < typename LinearOperator, typename Preconditioner= pc::identity<LinearOperator, double>,
typename RightPreconditioner= pc::identity<LinearOperator, double> >
typename RightPreconditioner= pc::identity<LinearOperator, double> >
class cg_solver;
template < typename LinearOperator, typename Vector,
typename Preconditioner, typename Iteration >
typename Preconditioner, typename Iteration >
int bicg(const LinearOperator &A, Vector &x, const Vector &b,
const Preconditioner &M, Iteration& iter);
const Preconditioner &M, Iteration& iter);
template < class LinearOperator, class HilbertSpaceX, class HilbertSpaceB,
class Preconditioner, class Iteration >
class Preconditioner, class Iteration >
int bicgstab(const LinearOperator& A, HilbertSpaceX& x, const HilbertSpaceB& b,
const Preconditioner& M, Iteration& iter);
const Preconditioner& M, Iteration& iter);
template < class LinearOperator, class HilbertSpaceX, class HilbertSpaceB,
class Preconditioner, class Iteration >
class Preconditioner, class Iteration >
int bicgstab_2(const LinearOperator& A, HilbertSpaceX& x, const HilbertSpaceB& b,
const Preconditioner& M, Iteration& iter);
const Preconditioner& M, Iteration& iter);
template < typename LinearOperator, typename Vector,
typename LeftPreconditioner, typename RightPreconditioner,
typename Iteration >
typename LeftPreconditioner, typename RightPreconditioner,
typename Iteration >
int bicgstab_ell(const LinearOperator &A, Vector &x, const Vector &b,
const LeftPreconditioner &L, const RightPreconditioner &R,
Iteration& iter, size_t l);
const LeftPreconditioner &L, const RightPreconditioner &R,
Iteration& iter, size_t l);
template < typename LinearOperator, typename Preconditioner= pc::identity<LinearOperator, double>,
typename RightPreconditioner= pc::identity<LinearOperator, double> >
typename RightPreconditioner= pc::identity<LinearOperator, double> >
class bicgstab_ell_solver;
template <typename Solver, unsigned N, bool Stored= false>
......
boost/numeric/itl/krylov/base_solver.hpp
View file @ b3572ba7
......@@ -35,37 +35,37 @@ struct base_solver
template <typename HilbertSpaceB, typename HilbertSpaceX>
int step(HilbertSpaceX& x, const HilbertSpaceB& b) const
{
itl::basic_iteration<double> iter(b, 1, 0, 0);
return static_cast<Solver const*>(this)->solve(x, b, iter);
itl::basic_iteration<double> iter(b, 1, 0, 0);
return static_cast<Solver const*>(this)->solve(x, b, iter);
}
/// Solve using the iteration (resets initial residuum)
template <typename HilbertSpaceB, typename HilbertSpaceX>
int operator()(HilbertSpaceX& x, const HilbertSpaceB& b)
{
my_iteration.restart();
if (two_norm(x) == 0)
my_iteration.set_norm_r0(two_norm(b));
else {
HilbertSpaceB r(b);
r-= A * x;
my_iteration.set_norm_r0(two_norm(r));
}
return static_cast<Solver const*>(this)->solve(x, b, my_iteration);
my_iteration.restart();
if (two_norm(x) == 0)
my_iteration.set_norm_r0(two_norm(b));
else {
HilbertSpaceB r(b);
r-= A * x;
my_iteration.set_norm_r0(two_norm(r));
}
return static_cast<Solver const*>(this)->solve(x, b, my_iteration);
}
/// Set log level to \p level
/** Concrete meaning of log level depends on specific solver.
The general understanding is:
- Level 0: no logging at all
- Level 1: print final log (convergence and alike)
- Level 2: print log on iterations
- Level 3 or higher: treated as 2 **/
The general understanding is:
- Level 0: no logging at all
- Level 1: print final log (convergence and alike)
- Level 2: print log on iterations
- Level 3 or higher: treated as 2 **/
void set_log_level(unsigned level)
{
this->level= level;
my_iteration.set_quite(level < 2);
my_iteration.suppress_resume(level == 0);
this->level= level;
my_iteration.set_quite(level < 2);
my_iteration.suppress_resume(level == 0);
}
/// Get log level
......
boost/numeric/itl/krylov/bicg.hpp
View file @ b3572ba7
......@@ -26,42 +26,42 @@ namespace itl {
/// Bi-Conjugate Gradient
template < typename LinearOperator, typename Vector,
typename Preconditioner, typename Iteration >
typename Preconditioner, typename Iteration >
int bicg(const LinearOperator &A, Vector &x, const Vector &b,
const Preconditioner &M, Iteration& iter)
const Preconditioner &M, Iteration& iter)
{
mtl::vampir_trace<7003> tracer;
using mtl::conj;
typedef typename mtl::Collection<Vector>::value_type Scalar;
Scalar rho_1(0), rho_2(0), alpha(0), beta(0);
Vector r(b - A * x), z(resource(x)), p(resource(x)), q(resource(x)),
r_tilde(r), z_tilde(resource(x)), p_tilde(resource(x)), q_tilde(resource(x));
r_tilde(r), z_tilde(resource(x)), p_tilde(resource(x)), q_tilde(resource(x));
while ( ! iter.finished(r)) {
++iter;
z= solve(M, r);
z_tilde= adjoint_solve(M, r_tilde);
rho_1= dot(z_tilde, z);
if (rho_1 == 0.) return iter.fail(2, "bicg breakdown");
if (iter.first()) {
p= z;
p_tilde= z_tilde;
} else {
beta= rho_1 / rho_2;
p= z + beta * p;
p_tilde= z_tilde + conj(beta) * p_tilde;
}
q= A * p;
q_tilde= adjoint(A) * p_tilde;
alpha= rho_1 / dot(p_tilde, q);
x+= alpha * p;
r-= alpha * q;
r_tilde-= conj(alpha) * q_tilde;
rho_2= rho_1;
++iter;
z= solve(M, r);
z_tilde= adjoint_solve(M, r_tilde);
rho_1= dot(z_tilde, z);
if (rho_1 == 0.) return iter.fail(2, "bicg breakdown");
if (iter.first()) {
p= z;
p_tilde= z_tilde;
} else {
beta= rho_1 / rho_2;
p= z + beta * p;
p_tilde= z_tilde + conj(beta) * p_tilde;
}
q= A * p;
q_tilde= adjoint(A) * p_tilde;
alpha= rho_1 / dot(p_tilde, q);
x+= alpha * p;
r-= alpha * q;
r_tilde-= conj(alpha) * q_tilde;
rho_2= rho_1;
}
return iter;
}
......@@ -69,7 +69,7 @@ int bicg(const LinearOperator &A, Vector &x, const Vector &b,
/// Solver class for BiCG method; right preconditioner ignored (prints warning if not identity)
/** Methods inherited from \ref base_solver. **/
template < typename LinearOperator, typename Preconditioner= pc::identity<LinearOperator>,
typename RightPreconditioner= pc::identity<LinearOperator> >
typename RightPreconditioner= pc::identity<LinearOperator> >
class bicg_solver
: public base_solver< bicg_solver<LinearOperator, Preconditioner, RightPreconditioner>, LinearOperator >
{
......@@ -78,22 +78,22 @@ class bicg_solver
/// Construct solver from a linear operator; generate (left) preconditioner from it
explicit bicg_solver(const LinearOperator& A) : base(A), L(A)
{
if (!pc::static_is_identity<RightPreconditioner>::value)
std::cerr << "Right Preconditioner ignored!" << std::endl;
if (!pc::static_is_identity<RightPreconditioner>::value)
std::cerr << "Right Preconditioner ignored!" << std::endl;
}
/// Construct solver from a linear operator and (left) preconditioner
bicg_solver(const LinearOperator& A, const Preconditioner& L) : base(A), L(L)
{
if (!pc::static_is_identity<RightPreconditioner>::value)
std::cerr << "Right Preconditioner ignored!" << std::endl;
if (!pc::static_is_identity<RightPreconditioner>::value)
std::cerr << "Right Preconditioner ignored!" << std::endl;
}
/// Solve linear system approximately as specified by \p iter
template < typename HilbertSpaceX, typename HilbertSpaceB, typename Iteration >
int solve(HilbertSpaceX& x, const HilbertSpaceB& b, Iteration& iter) const
{
return bicg(this->A, x, b, L, iter);
return bicg(this->A, x, b, L, iter);
}
private:
......
boost/numeric/itl/krylov/bicgstab.hpp
View file @ b3572ba7
......@@ -25,9 +25,9 @@ namespace itl {
/// Bi-Conjugate Gradient Stabilized
template < class LinearOperator, class HilbertSpaceX, class HilbertSpaceB,
class Preconditioner, class Iteration >
class Preconditioner, class Iteration >
int bicgstab(const LinearOperator& A, HilbertSpaceX& x, const HilbertSpaceB& b,
const Preconditioner& M, Iteration& iter)
const Preconditioner& M, Iteration& iter)
{
typedef typename mtl::Collection<HilbertSpaceX>::value_type Scalar;
typedef HilbertSpaceX Vector;
......@@ -80,7 +80,7 @@ int bicgstab(const LinearOperator& A, HilbertSpaceX& x, const HilbertSpaceB& b,
/// Solver class for BiCGStab method; right preconditioner ignored (prints warning if not identity)
/** Methods inherited from \ref base_solver. **/
template < typename LinearOperator, typename Preconditioner= pc::identity<LinearOperator>,
typename RightPreconditioner= pc::identity<LinearOperator> >
typename RightPreconditioner= pc::identity<LinearOperator> >
class bicgstab_solver
: public base_solver< bicgstab_solver<LinearOperator, Preconditioner, RightPreconditioner>, LinearOperator >
{
......@@ -89,22 +89,22 @@ class bicgstab_solver
/// Construct solver from a linear operator; generate (left) preconditioner from it
explicit bicgstab_solver(const LinearOperator& A) : base(A), L(A)
{
if (!pc::static_is_identity<RightPreconditioner>::value)
std::cerr << "Right Preconditioner ignored!" << std::endl;
if (!pc::static_is_identity<RightPreconditioner>::value)
std::cerr << "Right Preconditioner ignored!" << std::endl;
}
/// Construct solver from a linear operator and (left) preconditioner
bicgstab_solver(const LinearOperator& A, const Preconditioner& L) : base(A), L(L)
{
if (!pc::static_is_identity<RightPreconditioner>::value)
std::cerr << "Right Preconditioner ignored!" << std::endl;
if (!pc::static_is_identity<RightPreconditioner>::value)
std::cerr << "Right Preconditioner ignored!" << std::endl;
}
/// Solve linear system approximately as specified by \p iter
template < typename HilbertSpaceX, typename HilbertSpaceB, typename Iteration >
int solve(HilbertSpaceX& x, const HilbertSpaceB& b, Iteration& iter) const
{
return bicgstab(this->A, x, b, L, iter);
return bicgstab(this->A, x, b, L, iter);
}
private:
......
boost/numeric/itl/krylov/bicgstab_2.hpp
View file @ b3572ba7
......@@ -33,9 +33,9 @@ namespace itl {
/// Bi-Conjugate Gradient Stabilized(2)
template < typename LinearOperator, typename Vector,
typename Preconditioner, typename Iteration >
typename Preconditioner, typename Iteration >
int bicgstab_2(const LinearOperator &A, Vector &x, const Vector &b,
const Preconditioner &L, Iteration& iter)
const Preconditioner &L, Iteration& iter)
{
mtl::vampir_trace<7005> tracer;
using mtl::size; using mtl::irange; using mtl::imax; using mtl::mat::strict_upper; using mtl::lazy;
......@@ -53,9 +53,9 @@ int bicgstab_2(const LinearOperator &A, Vector &x, const Vector &b,
x0= zero;
r_hat[0]= b;
if (two_norm(x) != zero) {
r_hat[0]-= A * x;
x0= x;
x= zero;
r_hat[0]-= A * x;
x0= x;
x= zero;
}
Vector r0_tilde(r_hat[0]/two_norm(r_hat[0]));
......@@ -68,62 +68,62 @@ int bicgstab_2(const LinearOperator &A, Vector &x, const Vector &b,
mtl::dense_vector<Scalar> sigma(l+1), gamma(l+1), gamma_a(l+1), gamma_aa(l+1);
while (! iter.finished(r_hat[0])) {
++iter;
rho_0= -omega * rho_0;
++iter;
rho_0= -omega * rho_0;
for (Size j= 0; j < 2; ++j) {
rho_1= dot(r0_tilde, r_hat[j]);
beta= alpha * rho_1/rho_0; rho_0= rho_1;
for (Size j= 0; j < 2; ++j) {
rho_1= dot(r0_tilde, r_hat[j]);
beta= alpha * rho_1/rho_0; rho_0= rho_1;
for (Size i= 0; i <= j; ++i)
u_hat[i]= r_hat[i] - beta * u_hat[i];
for (Size i= 0; i <= j; ++i)
u_hat[i]= r_hat[i] - beta * u_hat[i];
y= A * u_hat[j];
u_hat[j+1]= solve(L, y);
Gamma= dot(r0_tilde, u_hat[j+1]);
alpha= rho_0 / Gamma;
y= A * u_hat[j];
u_hat[j+1]= solve(L, y);
Gamma= dot(r0_tilde, u_hat[j+1]);
alpha= rho_0 / Gamma;
for (Size i= 0; i <= j; ++i)
r_hat[i]-= alpha * u_hat[i+1];
for (Size i= 0; i <= j; ++i)
r_hat[i]-= alpha * u_hat[i+1];
if (iter.finished(r_hat[j])) {
x+= x0;
return iter;
}
y= A * r_hat[j];
r_hat[j+1]= solve(L, y);
x+= alpha * u_hat[0];
}
// mod GS (MR part)
irange i1m(1, imax);
mtl::dense_vector<Vector> r_hat_tail(r_hat[i1m]);
tau[i1m][i1m]= orthogonalize_factors(r_hat_tail);
for (Size j= 1; j <= l; ++j)
gamma_a[j]= dot(r_hat[j], r_hat[0]) / tau[j][j];