uCircumPoint

tests for equality between points

set defining attributes of point to a given point

return the polar coordinates of the point

the distance between the point and a second point

the square of the distance between the point and a second point

a flat array representing the homogenous coordinates of the point

return the given point as 'self' transformed by a given a 4x4 transformation matrix

is point on a given plane?

is point coplanar with 3 given points?

is point colinear with 2 given points ?

is point on given line?

set the position on a line connecting to given points, based on the interpolation by a given ratio of the distance between the given points

set position as the projection from given homogenous coordinates

set position as the origin centered projection of the given point to the plane parallel with the XY plane at unit distance

set position as the origin centered projection of the given point to the plane represented by the given 4 element array

move to foot of perpendicular from initial position of self to line connecting p1 & p2 arguments

move to foot of perpendicular from initial position of self to plane argument

move to point on the given circle's circumference closest to the foot of perpendicular from initial position of self to the circle's plane

move to closest point on surface of sphere argument

move to the centroid of the triangle defined by the 3 point arguments

move to the orthocenter of the triangle defined by the 3 point arguments

move to the center of the circle inscribed in the triangle defined by the 3 point arguments

move to the excenter of the circle exscribed in the triangle defined by the 3 point arguments, and tangent to the side opposite the first point argument

set postion as antipodal to the given point relative to the given object, i.e. circle or sphere

set position as the intersection of the line connecting the 1st and 2nd point arguments with that connecting the 3rd and 4th point arugments. Default is to test if lines are slew

set to position of intersection of given plane with the line connecting the point arguments. Default is not to test if line is on plane

move to the reflection of the current position in the plane defined by the 3 element vector representing the planes unit normal and a numeric value representing the plane's distance from the origin

set position as the center of the sphere defined by the 4 given points

set position as the center of the circle on the 3 given points

set position the (interior) bisector of the angle at the 1st point argument formed with the the 2nd and 3rd point arguments

set position the exterior bisector of the angle at the 1st point argument formed with the the 2nd and 3rd point arguments

set position as the inversion of the given point in the given circle, on the circle's plane

set position as the crosspoint (equating cross ratios) of the last 3 (ordered) points with the first 4 (ordered) points

rotate the current position (assumed to be on the circle's circumference) by the given angle, in radians

set position as the harmonic with of the 3rd point argument with reespect to the 1st and 2nd point arguments

The cross product of this vector and another.

Return the length of this vector.

Returns the vector itself.

The vector projection of this vector onto another.

The scalar projection of this vector onto another.

The unit vector of this vector.

The angle between this vector and another, in radians.

Convert this vector to a tuple. Same as tuple(vector), but much faster.

Rotate this vector about the specified axis through the specified angle, in radians

Zero the state of this vector. Potentially useful for reusing a temporary variable.

The dot product of this vector and another.

make all objects iterable, returning "self" in the simplest instance

method that is called on change events, calling reoutines to find current position based on dependecies, current visibility status, etc.

each object has a 4x4 matrix associated with it, representing the object's axis of rotation and translation from the origin. Needed for the implementation of the Projection class. Set to the identity matrix by default.

test whether any Elements on which there is a dependency have become 'null', i.e. not calculatable - .e.g, imaginary when working within real space

check for change in visibiliy status and toggle visibility as necessary, reset change flag to 0 on effectuating change in visiblity

toggle the 'null' flag, indicating whether the current postion of the object's position is visible - e.g. is real when working in real space

set object and the objects dependant on it to 'null' when its position cannot be made visible- e.g. imaginary when working in real space.

method to be overridden for objects needing an supplementary initiliazation routine after the call to __init___

Routine to return Element to intial position. Default is to run update routine

method to be overridden to erase loci of objects that are traceable

method to be overridden to erase curves traced by point objects

send current position in scene to render object, and render in accordance with style sttribute

where point is dependent on line and we want to extend the drawing of the dependant line to meet the point (needs to be overridden if there is more than on dependent line

If, on update, traced point has moved within limits defined by 'mintrace' and 'maxtrace' append its new position to the trace curve

For consistency in iterating Element's rendering objects, all elements rendering information is in a list called self.rend. In the case of Points, it is either a single element list, containing a cvisual sphere object, or a 2 element list with each element an oriented cvisual pyramid object, which together form a diamond shape representing the point

export the scene's points to PovRay SDL