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#ifndef CURVE_H
#define CURVE_H
#include <cmath>
#include <iostream>
#include <fml/fml.h>
#include "manifold.h"
using namespace fml;
/* All curves inherit this class (which is empty because Manifold has
* everything we need). */
class Curve : public Manifold {
public:
const int dimension() const { return 1; }
};
class LineSegment : public Curve {
private:
vec3 a, b;
public:
LineSegment(vec3 a_, vec3 b_) : a(a_), b(b_) {};
vec3 integrate(vec3 (*integrand)(vec3 s, vec3 ds), scalar delta) const;
const char *name() const { return "LineSegment"; }
friend std::istream operator>>(std::istream &is, LineSegment &ls);
};
std::istream operator>>(std::istream &is, LineSegment &ls);
class Arc : public Curve {
private:
vec3 center;
/* these are relative to the center (direction will be determined
* by RHR of normal), and should be orthonormal */
vec3 radius, normal;
/* how many radians the arc extends for (can be greater than 2pi) */
scalar angle;
public:
Arc(vec3 c_, vec3 r_, vec3 n_, scalar th) : center(c_), radius(r_), normal(n_), angle(th) {};
vec3 integrate(vec3 (*integrand)(vec3 s, vec3 ds), scalar delta) const;
const char *name() const { return "Arc"; }
friend std::istream operator>>(std::istream &is, LineSegment &ls);
};
std::istream operator>>(std::istream &is, LineSegment &ls);
class Spiral : public Curve {
private:
vec3 origin;
/* these are relative to the center (direction will be determined
* by RHR of normal), and should be orthonormal */
vec3 radius, normal;
/* how many radians the arc extends for (can be greater than 2pi) */
scalar angle;
/* linear distance between turns (2pi) */
scalar pitch;
public:
Spiral(vec3 c_, vec3 r_, vec3 n_, scalar th, scalar p) : origin(c_), radius(r_), normal(n_), angle(th), pitch(p) {};
vec3 integrate(vec3 (*integrand)(vec3 s, vec3 ds), scalar delta) const;
const char *name() const { return "Solenoid"; }
friend std::istream operator>>(std::istream &is, LineSegment &ls);
};
std::istream operator>>(std::istream &is, LineSegment &ls);
class Toroid : public Curve {
private:
vec3 origin;
/* these are relative to the center (direction will be determined
* by RHR of normal), and should be orthonormal */
vec3 major_radius, major_normal;
/* "thickness" of toroid */
scalar minor_r;
/* how many radians (about the center) the toroid extends for
* (can be greater than 2pi) */
scalar major_angle;
/* central angle between successive turns (2pi rotation of small
* radius vector) */
scalar pitch;
public:
Toroid() {};
Toroid(vec3 o, vec3 maj_r, vec3 maj_n, scalar ang, scalar min_r, scalar p) : origin(o), major_radius(maj_r), major_normal(maj_n), major_angle(ang), minor_r(min_r), pitch(p) {};
vec3 integrate(vec3 (*integrand)(vec3 s, vec3 ds), scalar delta) const;
const char *name() const { return "Toroid"; };
friend std::istream operator>>(std::istream &is, LineSegment &ls);
};
std::istream operator>>(std::istream &is, LineSegment &ls);
#endif
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