From 2f9baa72db31f2ce375971898039fb7170b4baab Mon Sep 17 00:00:00 2001 From: Karsten Ahnert Date: Tue, 19 Jul 2011 18:00:56 +0200 Subject: [PATCH 1/4] 2d phase lattice example now with images --- .../odeint/doc/html/phase_lattice_2d_0000.jpg | Bin 0 -> 4531 bytes .../odeint/doc/html/phase_lattice_2d_0100.jpg | Bin 0 -> 7805 bytes .../odeint/doc/html/phase_lattice_2d_1000.jpg | Bin 0 -> 43700 bytes libs/numeric/odeint/doc/tutorial.qbk | 2 ++ .../odeint/doc/tutorial_special_topics.qbk | 26 ++++++++++++------ .../two_dimensional_phase_lattice.cpp | 5 +++- 6 files changed, 24 insertions(+), 9 deletions(-) create mode 100644 libs/numeric/odeint/doc/html/phase_lattice_2d_0000.jpg create mode 100644 libs/numeric/odeint/doc/html/phase_lattice_2d_0100.jpg create mode 100644 libs/numeric/odeint/doc/html/phase_lattice_2d_1000.jpg diff --git a/libs/numeric/odeint/doc/html/phase_lattice_2d_0000.jpg b/libs/numeric/odeint/doc/html/phase_lattice_2d_0000.jpg new file mode 100644 index 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Furthermore, the [units_observer] -The full cpp file for this example can be found here [@../../examples/harmonic_oscillator_units.cpp] +The full cpp file for this example can be found here [@../../examples/harmonic_oscillator_units.cpp]. [endsect] -[section Using Cuda and Thrust] - -blah blah - -[endsect] - [section Using matrices as state types] -Expanding resizing +[import ../examples/two_dimensional_phase_lattice.cpp] + +odeint works well with a variety of different state types. It is not restricted to pure vector-wise types, like `vector< double >`, `array< double , N >`, `fusion::vector< double , double >`, etc. but also works with types having a different topology then simple vectors. Here, we show how odeint can be used with matrices as states type, in the next section we will show how can be used to solve ODEs defined on complex networks. + +By default, odeint can be used with `ublas::matrix< T >` as state type for matrices. A simple example is a two-dimensional lattice of coupled phase oscillators. We like phas oscillators, they are extremly easy and might serve for different demonstration purposes. Other matrix types like `mtl::dense_matrix` or blitz arrays and matrices can used as well but need some kind of activation in order to work with odeint. This activation is described in following sections, + +The definition of the system is + +[two_dimensional_phase_lattice_definition] + +This is in principle all. Please note, that the above code is far from being optimal. Better performance can be achieved if every interaction is only calculated once and iterators for columns and rows are used. Below are some visualizations of the evolution of this lattice equation. + +[$phase_lattice_2d_0000.jpg] [$phase_lattice_2d_0100.jpg] [$phase_lattice_2d_1000.jpg] + +The full cpp for this example can be found here [@../../examples/two_dimensional_phase_lattice.cpp]. + + [endsect] diff --git a/libs/numeric/odeint/examples/two_dimensional_phase_lattice.cpp b/libs/numeric/odeint/examples/two_dimensional_phase_lattice.cpp index 2e7421d2..b35ec64a 100644 --- a/libs/numeric/odeint/examples/two_dimensional_phase_lattice.cpp +++ b/libs/numeric/odeint/examples/two_dimensional_phase_lattice.cpp @@ -25,7 +25,8 @@ using namespace std; using namespace boost::numeric::odeint; -typedef boost::numeric::ublas::matrix< double , boost::numeric::ublas::basic_row_major<> , boost::numeric::ublas::unbounded_array< double > > state_type; +//[ two_dimensional_phase_lattice_definition +typedef boost::numeric::ublas::matrix< double > state_type; struct two_dimensional_phase_lattice { @@ -59,6 +60,8 @@ struct two_dimensional_phase_lattice double m_gamma; }; +//] + struct write_for_gnuplot { From 50fc38b18671cda17d96c93dadbc0a538c944dff Mon Sep 17 00:00:00 2001 From: Karsten Ahnert Date: Wed, 20 Jul 2011 09:21:09 +0200 Subject: [PATCH 2/4] added thrust documentation initial document --- .../odeint/doc/tutorial_thrust_cuda.qbk | 21 +++++++++++++++++++ 1 file changed, 21 insertions(+) create mode 100644 libs/numeric/odeint/doc/tutorial_thrust_cuda.qbk diff --git a/libs/numeric/odeint/doc/tutorial_thrust_cuda.qbk b/libs/numeric/odeint/doc/tutorial_thrust_cuda.qbk new file mode 100644 index 00000000..b6d2fb34 --- /dev/null +++ b/libs/numeric/odeint/doc/tutorial_thrust_cuda.qbk @@ -0,0 +1,21 @@ +[section Using Cuda and Thrust] + +[section Solving large systems] + +phase oscillator ensemble + +phase oscillator lattice + +blah blah + +[endsect] + +[section Parameter studies and bifurcations] + +Bifurcations in the lorenz system + +alternativ lattice with many different disorder realizations + 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