Represents a local coordinate basis comprising three axes that
define a coordinate system.
The axes don't have to be normalized or orthogonal, but no pair
of them should be parallel.
Definition at line 984 of file math.h.
 
 Public Member Functions
 | 
|   | 
Base
(void) | 
|   | 
Creates a empty base with no valid axises.
  | 
|   | 
Base
(const Vector
&vA, const Vector &vB, const Vector &vC) | 
|   | 
Creates a base with the three specified
vector axes. 
  | 
| bool  | 
operator!=
(const Base
&o) const | 
|   | 
Returns true if the two base objects are
different. 
  | 
| void  | 
Derive
(unsigned int iIndex, bool bRightHand=true) | 
|   | 
Derives one axis from the two others. (The
new axis will be orthagonal to the other two) 
  | 
| void  | 
Orthogonalize
(unsigned int iIndex, unsigned int iSource=-1) | 
|   | 
Force one basis axis to be orthagonal to
another (or both other) basis axes. 
  | 
| void  | 
Normalize
(void) | 
|   | 
Normalize all the three axes. 
  | 
| Vector  | 
TransformFrom
(const Vector
&cSource) const | 
|   | 
Converts a point (represented as a vector)
from basis space to world space and returns it. 
  | 
| Vector  | 
TransformTo
(const Vector
&cSource) const | 
|   | 
Converts a point (represented as a vector)
from world space to this basis space and returns it. 
  | 
| Base  | 
operator*
(float fFactor) const | 
|   | 
Multiplies the base vectors with a scalar
value and returns the result. 
  | 
| Base  | 
operator+
(const Base
&bOther) const | 
|   | 
Adds two bases. 
  | 
| Base  | 
operator-
(const Base
&bOther) const | 
|   | 
Substracts two bases. 
  | 
| Vector &  | 
Axis
(unsigned int iIndex) | 
|   | 
Returns a reference to a basis axis.
  | 
| const Vector &  | 
Axis
(unsigned int iIndex) const | 
|   | 
Returns a reference to a basis axis.
  | 
 Public Attributes
 | 
| Vector  | 
a | 
| Vector  | 
b | 
| Vector  | 
c |