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-rw-r--r--src/Coxeter_triangulation/include/gudhi/Functions/Function_chair_in_R3.h43
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