genartlib.algebra — genartlib 0.1.23

angle clj

(angle x1 y1 x2 y2)

Returns the angle between two points in radians. Values are between 0 and 2 * PI.

angular-coords clj

(angular-coords center-x center-y theta magnitude)

Returns an [x y] vector representing a point that is offset from a center ([center-x center-y]) by a given angle and magnitude

avg clj

(avg & values)

Returns the average of the arguments

interpolate clj

(interpolate start finish t)

Interpolates a point between [start, finish] at point t, where t is between 0.0 and 1.0

interpolate-multi clj

(interpolate-multi start-point finish-point t)

Interpolates between two multi-dimensional points at t, where t is between 0.0 and 1.0

line-intersection clj

(line-intersection line1 line2)

Finds the intersection of two lines. Each line argument is a vector of the form [slope y-intersect start-x end-x]

lines-intersection-point clj

(lines-intersection-point [start-x-1 start-y-1]
                          [end-x-1 end-y-1]
                          [start-x-2 start-y-2]
                          [end-x-2 end-y-2])

point-angle clj

(point-angle [x1 y1] [x2 y2])

Returns the angle between two points in radians

point-dist clj

(point-dist [x1 y1] [x2 y2])

Returns the euclidean distance between two points

point-slope clj

(point-slope [x1 y1] [x2 y2])

Returns the slope of a line between two points: (x1, y1), (x2, y2)

point-to-line-dist clj

(point-to-line-dist [x1 y1] [x2 y2] [x0 y0])

[x1 y1] and [x2 y2] define the line, [x0 y0] defines the point

rescale clj

(rescale value old-min old-max new-min new-max)

Rescales value from range [old-min, old-max] to [new-min, new-max]

slope clj

(slope x1 y1 x2 y2)

Returns the slope of a line between two points: (x1, y1), (x2, y2)

y-intercept clj

(y-intercept slope x1 y1)

Returns the y-intercept of a line with a given slope and one point on the line (x1, y1)