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#pragma once
#include "Core/EnginePtr.h"
#include "Point.h"
namespace storm {
class Str;
class StrBuf;
namespace geometry {
STORM_PKG(core.geometry);
/**
* A point in 3D-space.
*/
class Vector {
STORM_VALUE;
public:
// Zero.
STORM_CTOR Vector();
// Initialize.
STORM_CTOR Vector(Float x, Float y, Float z);
STORM_CAST_CTOR Vector(Point p);
// Coordinates.
Float x;
Float y;
Float z;
// Compute the length squared of the vector. Cheaper to compute than the length.
Float STORM_FN lengthSq() const;
// Compute the length of the vector.
Float STORM_FN length() const;
// Return a normalized vector (i.e. length 1).
Vector STORM_FN normalized() const;
// Compute the taxicab/manhattan length (i.e. x + y + z).
Float STORM_FN taxiLength() const;
// Output.
void STORM_FN toS(StrBuf *to) const;
};
wostream &operator <<(wostream &to, const Vector &s);
// Operations.
Vector STORM_FN operator +(Vector a, Vector b);
Vector STORM_FN operator -(Vector a, Vector b);
Vector STORM_FN operator -(Vector a);
Vector &STORM_FN operator +=(Vector &a, Vector b);
Vector &STORM_FN operator -=(Vector &a, Vector b);
// Scaling.
Vector STORM_FN operator *(Vector a, Float b);
Vector STORM_FN operator *(Float a, Vector b);
Vector STORM_FN operator /(Vector a, Float b);
Vector &STORM_FN operator *=(Vector &a, Float b);
Vector &STORM_FN operator /=(Vector &a, Float b);
// Dot product of two vectors.
Float STORM_FN operator *(Vector a, Vector b);
// Cross product of two vectors.
Vector STORM_FN operator /(Vector a, Vector b);
inline Bool STORM_FN operator ==(Vector a, Vector b) { return a.x == b.x && a.y == b.y && a.z == b.z; }
inline Bool STORM_FN operator !=(Vector a, Vector b) { return !(a == b); }
// Compute the absolute value of both compontents in the point.
Vector STORM_FN abs(Vector a);
// Project the point `pt` onto a line that starts in `origin` and expands in the direction
// of `dir`. `dir` does not have to be normalized.
Vector STORM_FN project(Vector pt, Vector origin, Vector dir);
}
}
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