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authorROUVREAU Vincent <vincent.rouvreau@inria.fr>2020-09-22 18:12:31 +0200
committerROUVREAU Vincent <vincent.rouvreau@inria.fr>2020-09-22 18:12:31 +0200
commitbe7555abfb97f02c37de96736f7a0993d4d47f03 (patch)
tree180f618a1db3a8b866f43f66210ac38c028d74dd /src/Coxeter_triangulation/include/gudhi/Functions/PL_approximation.h
parente0041b766b647f3906b52f861e97edba1f089312 (diff)
clang-format files
Diffstat (limited to 'src/Coxeter_triangulation/include/gudhi/Functions/PL_approximation.h')
-rw-r--r--src/Coxeter_triangulation/include/gudhi/Functions/PL_approximation.h59
1 files changed, 25 insertions, 34 deletions
diff --git a/src/Coxeter_triangulation/include/gudhi/Functions/PL_approximation.h b/src/Coxeter_triangulation/include/gudhi/Functions/PL_approximation.h
index ab2b9294..3d1f3564 100644
--- a/src/Coxeter_triangulation/include/gudhi/Functions/PL_approximation.h
+++ b/src/Coxeter_triangulation/include/gudhi/Functions/PL_approximation.h
@@ -21,23 +21,21 @@ namespace Gudhi {
namespace coxeter_triangulation {
-/**
+/**
* \class PL_approximation
* \brief Constructs a piecewise-linear approximation of a function induced by
* an ambient triangulation.
*
- * \tparam Function The function template parameter. Should be a model of
+ * \tparam Function The function template parameter. Should be a model of
* the concept FunctionForImplicitManifold.
* \tparam Triangulation The triangulation template parameter. Should be a model of
* the concept TriangulationForManifoldTracing.
*
* \ingroup coxeter_triangulation
*/
-template <class Function_,
- class Triangulation_>
+template <class Function_, class Triangulation_>
struct PL_approximation : public Function {
-
- /**
+ /**
* \brief Value of the function at a specified point.
* @param[in] p The input point. The dimension needs to coincide with the ambient dimension.
*/
@@ -47,33 +45,29 @@ struct PL_approximation : public Function {
auto s = tr_.locate_point(p);
Eigen::MatrixXd matrix(cod_d, s.dimension() + 1);
Eigen::MatrixXd vertex_matrix(amb_d + 1, s.dimension() + 1);
- for (std::size_t i = 0; i < s.dimension() + 1; ++i)
- vertex_matrix(0, i) = 1;
+ for (std::size_t i = 0; i < s.dimension() + 1; ++i) vertex_matrix(0, i) = 1;
std::size_t j = 0;
- for (auto v: s.vertex_range()) {
+ for (auto v : s.vertex_range()) {
Eigen::VectorXd pt_v = tr_.cartesian_coordinates(v);
Eigen::VectorXd fun_v = fun_(pt_v);
- for (std::size_t i = 1; i < amb_d + 1; ++i)
- vertex_matrix(i, j) = pt_v(i-1);
- for (std::size_t i = 0; i < cod_d; ++i)
- matrix(i, j) = fun_v(i);
+ for (std::size_t i = 1; i < amb_d + 1; ++i) vertex_matrix(i, j) = pt_v(i - 1);
+ for (std::size_t i = 0; i < cod_d; ++i) matrix(i, j) = fun_v(i);
j++;
}
- assert(j == s.dimension()+1);
+ assert(j == s.dimension() + 1);
Eigen::VectorXd z(amb_d + 1);
z(0) = 1;
- for (std::size_t i = 1; i < amb_d + 1; ++i)
- z(i) = p(i-1);
- Eigen::VectorXd lambda = vertex_matrix.colPivHouseholderQr().solve(z);
+ for (std::size_t i = 1; i < amb_d + 1; ++i) z(i) = p(i - 1);
+ Eigen::VectorXd lambda = vertex_matrix.colPivHouseholderQr().solve(z);
Eigen::VectorXd result = matrix * lambda;
return result;
}
/** \brief Returns the domain (ambient) dimension. */
- virtual std::size_t amb_d() const override {return fun_.amb_d();}
+ virtual std::size_t amb_d() const override { return fun_.amb_d(); }
/** \brief Returns the codomain dimension. */
- virtual std::size_t cod_d() const override {return fun_.cod_d();}
+ virtual std::size_t cod_d() const override { return fun_.cod_d(); }
/** \brief Returns a point on the zero-set. */
virtual Eigen::VectorXd seed() const override {
@@ -81,44 +75,41 @@ struct PL_approximation : public Function {
return Eigen::VectorXd(amb_d());
}
- /**
- * \brief Constructor of the piecewise-linear approximation of a function
+ /**
+ * \brief Constructor of the piecewise-linear approximation of a function
* induced by an ambient triangulation.
*
* @param[in] function The function.
* @param[in] triangulation The ambient triangulation.
*/
PL_approximation(const Function_& function, const Triangulation_& triangulation)
- : fun_(function), tr_(triangulation) {}
+ : fun_(function), tr_(triangulation) {}
- private:
+ private:
Function_ fun_;
Triangulation_ tr_;
};
-
-/**
- * \brief Static constructor of the piecewise-linear approximation of a function
+/**
+ * \brief Static constructor of the piecewise-linear approximation of a function
* induced by an ambient triangulation.
*
* @param[in] function The function.
* @param[in] triangulation The ambient triangulation.
*
- * \tparam Function_ The function template parameter. Should be a model of
+ * \tparam Function_ The function template parameter. Should be a model of
* the concept FunctionForImplicitManifold.
*
* \ingroup coxeter_triangulation
*/
-template <class Function_,
- class Triangulation_>
-PL_approximation<Function_, Triangulation_>
-make_pl_approximation(const Function_& function,
- const Triangulation_& triangulation) {
+template <class Function_, class Triangulation_>
+PL_approximation<Function_, Triangulation_> make_pl_approximation(const Function_& function,
+ const Triangulation_& triangulation) {
return PL_approximation<Function_, Triangulation_>(function, triangulation);
}
-} // namespace coxeter_triangulation
+} // namespace coxeter_triangulation
-} // namespace Gudhi
+} // namespace Gudhi
#endif