ktm/math.h

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#pragma once
 
#include <ktm/global.h>
#include <math/Types.h>
 
namespace sf
{
 
// Calculates the tangent lines between two circles.
// Returns true when a conversion was executed successfully.
//
bool _KTM_FUNC CalcTangent(
  int select,// Selection of tangent.
  // A negative value means the tangent is on the ccw side
  // of the line formed by c1 and c2.
  // An absolute value larger than 1 means that the tangent
  // is crossing the line formed by c1 and c2.
  // A value of zero is ignored.
  const Vector2D& c1,// Center vector of first circle.
  double radius1,// Radius of first circle.
  Vector2D& tg1,// Point where tangent touches the first circle.
  const Vector2D& c2,// Center vector of second circle.
  double radius2,// Radius of second circle.
  Vector2D& tg2// Point where tangent touches the second circle.
);
 
// Returns false when the angle is 90 degree or 270 degree.
// In that case the x values of both point are almost the same and
// 'yofs' is assigned the value of p1.x.
bool _KTM_FUNC GetLineValues(
  const Vector2D& p, double angle,// Input values.
  double& slope, double& yofs// Output values.
);
 
// Returns false when the coefficient is actually infinite.
// In that case the x values of both point are almost the same and
// 'yofs' is assigned the value of p1.x.
bool _KTM_FUNC GetLineValues(
  const Vector2D& p1, const Vector2D& p2,// Input values.
  double& slope, double& yofs// Output values.
);
 
// Returns true if both lines intersect.
//
bool _KTM_FUNC GetIntersection(
  const Vector2D& p11,// First point of first line.
  const Vector2D& p12,// Second point of first line.
  const Vector2D& p2,// A point of second line.
  double angle2,// Angle of second line.
  Vector2D& ip// Point of intersection.
);
 
// Returns true if circle and line intersect.
//
bool _KTM_FUNC GetIntersection(
  const Vector2D& center,// Circle center point.
  double radius,// Circle radius.
  const Vector2D& p,// A point of the line.
  double angle,// Angle of the line.
  Vector2D& ip1,// First point of intersection.
  Vector2D& ip2// Second point of intersection.
);
 
// Returns true if both lines intersect.
//
bool _KTM_FUNC GetIntersection(
  const Vector2D& p11,// First point of first line.
  const Vector2D& p12,// Second point of first line.
  const Vector2D& p2,// A point of second line.
  double angle2,// Angle of second line.
  Vector2D& ip// Point of intersection.
);
 
}// namespace sf