def split_vector_equidistantly(vector, count):
'''Splits a vector/coordinate into `count` parts.
Returns a CoordinateArray with the new Coordinate segments.
>>> split_vector_equidistantly(Coordinate(-10, 12))
CoordinateArray(<0,0>, <-2.5,3.0>, <-5.0,6.0>, <-7.5,9.0>, <-10,12>)
'''
xs = [interpolate_linear(0, vector.x, i / count) for i in range(1, count)]
ys = [interpolate_linear(0, vector.y, i / count) for i in range(1, count)]
coords = [(0, 0)] + zip(xs, ys) + [vector]
return CoordinateArray(coords)
def split_vector_equidistantly(vector, count) :
'''Splits a vector/coordinate into `count` parts.
Returns a CoordinateArray with the new Coordinate segments.
>>> split_vector_equidistantly(Coordinate(-10, 12))
CoordinateArray(<0,0>, <-2.5,3.0>, <-5.0,6.0>, <-7.5,9.0>, <-10,12>)
'''
xs = [interpolate_linear(0, vector.x, i / count) for i in range(1, count)]
ys = [interpolate_linear(0, vector.y, i / count) for i in range(1, count)]
coords = [(0, 0)] + zip(xs, ys) + [vector]
return CoordinateArray(coords)
def path_linear(coords, interpolation_unit):
'''Returns a path with linearly interpolated segments.
Visually the result is the same as a plain path, but this is
useful as an intermediate step in constructing more interesting
shapes by deforming this one.
- `coords` is a CoordinateArray.
- `interpolation_unit` is the magnitude of the path segments created.
Think of it as the sampling period in digital recording.
If `interpolation_unit` > coord[i] - coord[i-1], the
coord[i] - coord[i-1] segment is not further segmented.
'''
coords = CoordinateArray(coords)
def units_per_path_segment(coords, interpolation_unit):
result = [ ]
diffs = coords.difference
for i in range(len(diffs)):
segs = diffs[i].magnitude / float(interpolation_unit)
coord_pair = (coords[i], coords[i + 1])
if segs < 1:
result.append((coord_pair, 1))
else:
result.append((coord_pair, int(round(segs))))
return result
divs = units_per_path_segment(coords, interpolation_unit)
result = [ ]
for cp, n in divs:
newcoords = [interpolate_linear(cp[0], cp[1], float(i) / n) for i in range(n)]
result.extend(newcoords)
return Path(result)