diff options
Diffstat (limited to 'src/Coxeter_triangulation/include/gudhi/Functions/Function_chair_in_R3.h')
-rw-r--r-- | src/Coxeter_triangulation/include/gudhi/Functions/Function_chair_in_R3.h | 43 |
1 files changed, 20 insertions, 23 deletions
diff --git a/src/Coxeter_triangulation/include/gudhi/Functions/Function_chair_in_R3.h b/src/Coxeter_triangulation/include/gudhi/Functions/Function_chair_in_R3.h index fe16d37b..e2f65144 100644 --- a/src/Coxeter_triangulation/include/gudhi/Functions/Function_chair_in_R3.h +++ b/src/Coxeter_triangulation/include/gudhi/Functions/Function_chair_in_R3.h @@ -12,7 +12,7 @@ #define FUNCTIONS_FUNCTION_CHAIR_IN_R3_H_ #include <cstdlib> // for std::size_t -#include <cmath> // for std::pow +#include <cmath> // for std::pow #include <gudhi/Functions/Function.h> @@ -22,42 +22,42 @@ namespace Gudhi { namespace coxeter_triangulation { -/** - * \class Function_chair_in_R3 +/** + * \class Function_chair_in_R3 * \brief A class that encodes the function, the zero-set of which is a so-called * "chair" surface embedded in R^3. * * \ingroup coxeter_triangulation */ struct Function_chair_in_R3 : 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 { - double x = p(0)-off_[0], y = p(1)-off_[1], z = p(2)-off_[2]; + double x = p(0) - off_[0], y = p(1) - off_[1], z = p(2) - off_[2]; Eigen::VectorXd result(cod_d()); - result(0) = std::pow(x*x + y*y + z*z - a_*k_*k_, 2) - b_*((z-k_)*(z-k_) - 2*x*x)*((z+k_)*(z+k_) - 2*y*y); + result(0) = std::pow(x * x + y * y + z * z - a_ * k_ * k_, 2) - + b_ * ((z - k_) * (z - k_) - 2 * x * x) * ((z + k_) * (z + k_) - 2 * y * y); return result; } /** \brief Returns the domain (ambient) dimension. */ - virtual std::size_t amb_d() const override {return 3;} + virtual std::size_t amb_d() const override { return 3; } /** \brief Returns the codomain dimension. */ - virtual std::size_t cod_d() const override {return 1;} + virtual std::size_t cod_d() const override { return 1; } /** \brief Returns a point on the surface. */ virtual Eigen::VectorXd seed() const override { - double t1 = a_-b_; - double discr = t1*t1 - (1.0 - b_)*(a_*a_ - b_); - double z0 = k_*std::sqrt((t1+std::sqrt(discr))/(1-b_)); - Eigen::Vector3d result(off_[0], off_[1], z0+off_[2]); + double t1 = a_ - b_; + double discr = t1 * t1 - (1.0 - b_) * (a_ * a_ - b_); + double z0 = k_ * std::sqrt((t1 + std::sqrt(discr)) / (1 - b_)); + Eigen::Vector3d result(off_[0], off_[1], z0 + off_[2]); return result; } - /** + /** * \brief Constructor of the function that defines the 'chair' surface * embedded in R^3. * @@ -66,20 +66,17 @@ struct Function_chair_in_R3 : public Function { * @param[in] k A numerical parameter. * @param[in] off Offset vector. */ - Function_chair_in_R3(double a = 0.8, - double b = 0.4, - double k = 1.0, - Eigen::Vector3d off = Eigen::Vector3d::Zero()) : - a_(a), b_(b), k_(k), off_(off) {} - -protected: + Function_chair_in_R3(double a = 0.8, double b = 0.4, double k = 1.0, Eigen::Vector3d off = Eigen::Vector3d::Zero()) + : a_(a), b_(b), k_(k), off_(off) {} + + protected: double a_, b_, k_; Eigen::Vector3d off_; }; -} // namespace coxeter_triangulation +} // namespace coxeter_triangulation -} // namespace Gudhi +} // namespace Gudhi #endif |