extract explicit mesh with topology information from implicit surfaces with boolean operations, and do surface/volume integrating on them.
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#pragma once
#include <math/math_defs.hpp>
#include <primitive/axis/extrude_axis.hpp>
namespace internal
{
struct PE_API helixline_extrude_axis final : public extrude_axis {
~helixline_extrude_axis() override = default;
double get_closest_param(Eigen::Vector3d p) const override;
std::pair<Eigen::Vector2d, Eigen::Projective2d> to_pattern_local(double t, Eigen::Vector3d p) const override;
Eigen::AffineCompact3d get_local_cap_mat(double t) const override;
aabb_t get_local_aabb() const override { return k_aabb_up_unit; }
double scale_coeff_x; // x缩放倍率(r)
double scale_coeff_y; // y缩放倍率(rh*sqrt((theta^2+1)/(r^2theta^2+h^2)))
double total_theta; // 总旋转角度(<0时为左旋,>0时为右旋)
};
} // namespace internal
namespace detail
{
template <>
struct hasher<internal::helixline_extrude_axis> {
size_t operator()(const internal::helixline_extrude_axis& axis) const { return XXH3_64bits(&axis, sizeof(axis)); }
};
template <>
struct eq_compare<internal::helixline_extrude_axis> {
bool operator()(const internal::helixline_extrude_axis& lhs, const internal::helixline_extrude_axis& rhs) const
{
return std::abs(lhs.scale_coeff_x - rhs.scale_coeff_x) <= epsilon //
&& std::abs(lhs.scale_coeff_y - rhs.scale_coeff_y) <= epsilon //
&& std::abs(lhs.total_theta - rhs.total_theta) <= epsilon;
}
};
} // namespace detail