def addLeaves(path, n, offset, slideRatio, document):
# Creates the Leaf Constructors
points = dformer.generatePoints(path, slideRatio, 2 * n)
pt_pairs = dformer.findPointPairs(points)
p = cubicsuperpath.parsePath(path.get('d'))[0]
i = 1
for a, b in pt_pairs:
# Get center point of leaf
slope = dformer.computeSlope(a, b)
p_slope = dformer.perpendicularSlope(slope)
tmp = offset * math.tan(math.radians(0))
dist = math.sqrt(tmp ** 2 + offset ** 2)
ab_MidPoint = dformer.getMidPoint(a, b)
c = dformer.computePointAlongLine(p_slope, ab_MidPoint, -dist)
ctrl1 = dformer.computePointAlongLine(p_slope, a, -dist)
ctrl2 = dformer.computePointAlongLine(p_slope, b, -dist)
start_pt = p[i - 1][1]
# Check that start_pt is viable
while not(dformer.checkRelativeDifference(start_pt[0], a[0]) and dformer.checkRelativeDifference(start_pt[1], a[1])):
i += 1
start_pt = p[i - 1][1]
begin_idx = i
end_pt = p[i][1]
# Check that end_pt is viable
while not(dformer.checkRelativeDifference(end_pt[0], b[0]) and dformer.checkRelativeDifference(end_pt[1], b[1])):
i += 1
end_pt = p[i][1]
end_idx = i
before = p[:begin_idx]
after = p[end_idx:]
# Create Leaf
before[-1][1] = list(a)
leafMidPoint = dformer.getMidPoint(ab_MidPoint, ctrl1)
leftSidePoint = dformer.computePointAlongLine(slope, leafMidPoint, -dist/2)
before[-1][2] = list(leftSidePoint)
curve_at_c = [list(ctrl1), list(c), list(ctrl2)]
rightMidPoint = dformer.getMidPoint(ab_MidPoint, ctrl2)
rightSidePoint = dformer.computePointAlongLine(dformer.negateSlope(slope), rightMidPoint, -dist/2)
after[0][0] = list(rightSidePoint)
after[0][1] = list(b)
after[0][2] = after[1][0]
p = before + [curve_at_c] + after
path.set('d', cubicsuperpath.formatPath([p]))
def addNotches(path, n, offset, slideRatio, angle, document):
# Creates the Notch Constructors
points = dformer.generatePoints(path, slideRatio, 2 * n)
pt_pairs = dformer.findPointPairs(points)
p = cubicsuperpath.parsePath(path.get('d'))[0]
i = 1
for a, b in pt_pairs:
# Get center point of tooth
slope = dformer.computeSlope(a, b)
p_slope = dformer.perpendicularSlope(slope)
ac_slope = dformer.rotateSlope(p_slope, 360 - angle)
bd_slope = dformer.rotateSlope(p_slope, angle)
tmp = offset * math.tan(math.radians(angle))
dist = math.sqrt(tmp ** 2 + offset ** 2)
c = dformer.computePointAlongLine(ac_slope, a, -dist)
d = dformer.computePointAlongLine(bd_slope, b, -dist)
start_pt = p[i - 1][1]
# Check that start_pt is viable
while not(dformer.checkRelativeDifference(start_pt[0], a[0]) and dformer.checkRelativeDifference(start_pt[1], a[1])):
i += 1
start_pt = p[i - 1][1]
begin_idx = i
end_pt = p[i][1]
# Check that end_pt is viable
while not(dformer.checkRelativeDifference(end_pt[0], b[0]) and dformer.checkRelativeDifference(end_pt[1], b[1])):
i += 1
end_pt = p[i][1]
end_idx = i
before = p[:begin_idx]
after = p[end_idx+1:]
# Create Tooth
before[-1][1] = list(a)
before[-1][2] = list(a)
line_to_c = [list(c)] * 3
line_to_d = [list(d)] * 3
line_to_b = [list(b)] * 3
p = before + [line_to_c] + [line_to_d] + [line_to_b] + after
path.set('d', cubicsuperpath.formatPath([p]) + 'Z')
