def curveat(curve, t): return node(bezierpointatt(((node.x, node.y) for node in curve), t)) # This function takes in a list of nodes and returns # a list of numbers between 0 and 1 corresponding to the relative positions # of said nodes (assuming consecutive nodes are linked by straight lines). # The first item is always 0.0 and the last one 1.0. def chords(nodes):
def csp_at_t(sp1,sp2,t):
bez = (sp1[1][:],sp1[2][:],sp2[0][:],sp2[1][:])
return bezmisc.bezierpointatt(bez,t)
def computePointsXY(self, pathId, offsets, globalOffset=0.0):
#offsets.sort() if they have random order, but objects should be sorted respectively to them
if self.selected[pathId].get(
'd'): #determine path parameters and transform it
mat = [[1, 0, 0], [0, 1, 0]]
m = simpletransformed.parseTransform(
self.selected[pathId].get('transform'))
m = simpletransformed.composeTransform(mat, m)
csp = cubicsuperpath.parsePath(self.selected[pathId].get('d'))
simpletransformed.applyTransformToPath(m, csp)
else:
inkex.debug(
"Only paths are supported as a guide. Make sure your path is in back of other objects."
)
return None
retval = []
offsetP = 0
curveLengths = []
totalLength = 0.0
last_subpath = 0
for csp_i in xrange(len(csp)):
last_subpath = csp_i
for i in xrange(len(csp[csp_i]) - 1): #For every segment of a path
#determine its length
curveLengths.append(
bezmisc.bezierlength(
(csp[csp_i][i][1], csp[csp_i][i][2],
csp[csp_i][i + 1][0], csp[csp_i][i + 1][1])))
#Compute total lenth of a path by sum of each part
totalLength = totalLength + curveLengths[-1]
if totalLength >= (
offsets[offsetP] + globalOffset
): #If offset belongs to current path's part
while (
offsets[offsetP] + globalOffset
) <= totalLength: #for all offsets that belong to current path's part
dlength = totalLength - (
offsets[offsetP] + globalOffset
) #distance between part start and offset
t = 1 - dlength / curveLengths[
-1] #I don't understand bezier basics... seems that this is right
#Compute x,y and alpha as atan(slope)
x, y = bezmisc.bezierpointatt(
(csp[csp_i][i][1], csp[csp_i][i][2],
csp[csp_i][i + 1][0], csp[csp_i][i + 1][1]), t)
dx, dy = bezmisc.bezierslopeatt(
(csp[csp_i][i][1], csp[csp_i][i][2],
csp[csp_i][i + 1][0], csp[csp_i][i + 1][1]), t)
try:
alpha = math.atan(
dy / dx
) #FIXME: divsion by zero on straight lines and 90deg. rotation
except:
alpha = 0.0
retval.append([x, y, alpha]) #Append to result
offsetP = offsetP + 1
if offsetP > (len(offsets) -
1): #If no more offsets return value
return retval
#If total sum of distances between objects are greater than curve length,
# then put one more object that beyond the curve in last valid position
# and others left in their places
if len(retval) < len(offsets):
#for i in xrange(len(retval),len(offsets)): #to place all reminded objects
x, y = bezmisc.bezierpointatt(
(csp[last_subpath][-2][1], csp[last_subpath][-2][2],
csp[last_subpath][-1][0], csp[last_subpath][-1][1]), 1.0)
retval.append([x, y, 0.0])
return retval
def bezlinearize(bez, npts):
return [bezmisc.bezierpointatt(bez, t) for t in seq(0,1,npts)]
def curveat(curve, t):
return node(bezierpointatt(((node.x, node.y) for node in curve), t))
def csp_at_t(sp1, sp2, t):
bez = (sp1[1][:], sp1[2][:], sp2[0][:], sp2[1][:])
return bezmisc.bezierpointatt(bez, t)
def duplicate(self, points):
i = 0
while i < 1:
x, y = bezmisc.bezierpointatt(points, i)
self.copy_pattern(x, y)
i += 0.001
def approx_curve(self, points):
for four in take_N(points, 4):
# TODO: automatically set number of samples depending on length
for t in sample(0, 1, 50):
yield bezmisc.bezierpointatt(four, t)
def bezlinearize(bez, npts):
return [bezmisc.bezierpointatt(bez, t) for t in seq(0, 1, npts)]