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-rw-r--r--src/Coxeter_triangulation/include/gudhi/Functions/Function_Sm_in_Rd.h78
1 files changed, 30 insertions, 48 deletions
diff --git a/src/Coxeter_triangulation/include/gudhi/Functions/Function_Sm_in_Rd.h b/src/Coxeter_triangulation/include/gudhi/Functions/Function_Sm_in_Rd.h
index 7ebb7fc8..25b9b5fc 100644
--- a/src/Coxeter_triangulation/include/gudhi/Functions/Function_Sm_in_Rd.h
+++ b/src/Coxeter_triangulation/include/gudhi/Functions/Function_Sm_in_Rd.h
@@ -21,47 +21,42 @@ namespace Gudhi {
namespace coxeter_triangulation {
-/**
- * \class Function_Sm_in_Rd
+/**
+ * \class Function_Sm_in_Rd
* \brief A class for the function that defines an m-dimensional implicit sphere embedded
* in the d-dimensional Euclidean space.
*
* \ingroup coxeter_triangulation
*/
-struct Function_Sm_in_Rd: 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.
- */
+struct Function_Sm_in_Rd : 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.
+ */
virtual Eigen::VectorXd operator()(const Eigen::VectorXd& p) const override {
Eigen::VectorXd x = p;
- for (std::size_t i = 0; i < d_; ++i)
- x(i) -= center_[i];
- Eigen::VectorXd result = Eigen::VectorXd::Zero(k_);
- for (std::size_t i = 0; i < m_+1; ++i)
- result(0) += x(i)*x(i);
- result(0) -= r_*r_;
- for (std::size_t j = 1; j < k_; ++j)
- result(j) = x(m_+j);
+ for (std::size_t i = 0; i < d_; ++i) x(i) -= center_[i];
+ Eigen::VectorXd result = Eigen::VectorXd::Zero(k_);
+ for (std::size_t i = 0; i < m_ + 1; ++i) result(0) += x(i) * x(i);
+ result(0) -= r_ * r_;
+ for (std::size_t j = 1; j < k_; ++j) result(j) = x(m_ + j);
return result;
}
-
+
/** \brief Returns the domain dimension. Same as the ambient dimension of the sphere. */
- virtual std::size_t amb_d() const override {return d_;};
+ virtual std::size_t amb_d() const override { return d_; };
/** \brief Returns the codomain dimension. Same as the codimension of the sphere. */
- virtual std::size_t cod_d() const override {return k_;};
+ virtual std::size_t cod_d() const override { return k_; };
/** \brief Returns a point on the sphere. */
virtual Eigen::VectorXd seed() const override {
Eigen::VectorXd result = Eigen::VectorXd::Zero(d_);
result(0) += r_;
- for (std::size_t i = 0; i < d_; ++i)
- result(i) += center_[i];
+ for (std::size_t i = 0; i < d_; ++i) result(i) += center_[i];
return result;
}
-
- /**
+
+ /**
* \brief Constructor of the function that defines an m-dimensional implicit sphere embedded
* in the d-dimensional Euclidean space.
*
@@ -70,13 +65,10 @@ struct Function_Sm_in_Rd: public Function {
* @param[in] d The ambient dimension of the sphere.
* @param[in] center The center of the sphere.
*/
- Function_Sm_in_Rd(double r,
- std::size_t m,
- std::size_t d,
- Eigen::VectorXd center)
- : m_(m), k_(d-m), d_(d), r_(r), center_(center) {}
+ Function_Sm_in_Rd(double r, std::size_t m, std::size_t d, Eigen::VectorXd center)
+ : m_(m), k_(d - m), d_(d), r_(r), center_(center) {}
- /**
+ /**
* \brief Constructor of the function that defines an m-dimensional implicit sphere embedded
* in the d-dimensional Euclidean space centered at the origin.
*
@@ -84,13 +76,10 @@ struct Function_Sm_in_Rd: public Function {
* @param[in] m The dimension of the sphere.
* @param[in] d The ambient dimension of the sphere.
*/
- Function_Sm_in_Rd(double r,
- std::size_t m,
- std::size_t d)
- : m_(m), k_(d-m), d_(d), r_(r), center_(Eigen::VectorXd::Zero(d_)) {}
+ Function_Sm_in_Rd(double r, std::size_t m, std::size_t d)
+ : m_(m), k_(d - m), d_(d), r_(r), center_(Eigen::VectorXd::Zero(d_)) {}
-
- /**
+ /**
* \brief Constructor of the function that defines an m-dimensional implicit sphere embedded
* in the (m+1)-dimensional Euclidean space.
*
@@ -98,35 +87,28 @@ struct Function_Sm_in_Rd: public Function {
* @param[in] m The dimension of the sphere.
* @param[in] center The center of the sphere.
*/
- Function_Sm_in_Rd(double r,
- std::size_t m,
- Eigen::VectorXd center)
- : m_(m), k_(1), d_(m_+1), r_(r), center_(center) {}
+ Function_Sm_in_Rd(double r, std::size_t m, Eigen::VectorXd center)
+ : m_(m), k_(1), d_(m_ + 1), r_(r), center_(center) {}
- /**
+ /**
* \brief Constructor of the function that defines an m-dimensional implicit sphere embedded
* in the (m+1)-dimensional Euclidean space centered at the origin.
*
* @param[in] r The radius of the sphere.
* @param[in] m The dimension of the sphere.
*/
- Function_Sm_in_Rd(double r,
- std::size_t m)
- : m_(m), k_(1), d_(m_+1), r_(r), center_(Eigen::VectorXd::Zero(d_)) {}
+ Function_Sm_in_Rd(double r, std::size_t m) : m_(m), k_(1), d_(m_ + 1), r_(r), center_(Eigen::VectorXd::Zero(d_)) {}
- Function_Sm_in_Rd(const Function_Sm_in_Rd& rhs)
- : Function_Sm_in_Rd(rhs.r_, rhs.m_, rhs.d_, rhs.center_) {}
+ Function_Sm_in_Rd(const Function_Sm_in_Rd& rhs) : Function_Sm_in_Rd(rhs.r_, rhs.m_, rhs.d_, rhs.center_) {}
-
private:
std::size_t m_, k_, d_;
double r_;
Eigen::VectorXd center_;
};
-} // namespace coxeter_triangulation
-
-} // namespace Gudhi
+} // namespace coxeter_triangulation
+} // namespace Gudhi
#endif