@node Vectors
@section Vectors

2D vector math operations. Vector objects are of type vector2 to avoid
confusion with regular Scheme vectors.

@anchor{2d vector2 vector2}@defspec vector2
@end defspec

@anchor{2d vector2 vector2?}@defspec vector2?
@end defspec

@anchor{2d vector2 vx}@defspec vx
@end defspec

@anchor{2d vector2 vy}@defspec vy
@end defspec

@anchor{2d vector2 null-vector2}@defvar null-vector2
@end defvar

@anchor{2d vector2 identity-vector2}@defvar identity-vector2
@end defvar

@anchor{2d vector2 vector2-polar}@defun vector2-polar r theta
Convert the polar coordinates (R, THETA) into a cartesian vector.

@end defun

@anchor{2d vector2 v+}@defun v+ . vectors
Return the sum of all VECTORS.

@end defun

@anchor{2d vector2 v*}@defun v* . vectors
Return the product of all VECTORS.

@end defun

@anchor{2d vector2 vscale}@defun vscale v scalar
Multiply the vector V by a scalar value.

@end defun

@anchor{2d vector2 vmag}@defun vmag v
Return the magnitude of the vector V.

@end defun

@anchor{2d vector2 vnorm}@defun vnorm v
Normalize the vector V.

@end defun

@anchor{2d vector2 vdot}@defun vdot v1 v2
Return the dot product of the vectors V1 and V2.

@end defun

@anchor{2d vector2 vcross}@defun vcross v1 v2
Return the cross product of the vectors V1 and V2.  Technically, the
cross product of a 2D vector is not defined.  This function instead
returns the Z coordinate of the cross product as if the vectors were in
3D space.

@end defun

@anchor{2d vector2 vector2-translate}@defun vector2-translate v
Perform an OpenGL translate operation with the vector V.

@end defun

@anchor{2d vector2 vector2-scale}@defun vector2-scale v
Perform an OpenGL scale operation with the vector V.

@end defun