def point(path, t, segments=None):
""" Returns coordinates for point at t on the path.
Gets the length of the path, based on the length of each curve and line in the path.
Determines in what segment t falls. Gets the point on that segment.
When you supply the list of segment lengths yourself, as returned from length(path, segmented=True),
point() works about thirty times faster in a for-loop since it doesn't need to recalculate
the length during each iteration.
"""
if len(path) == 0:
raise PathError, "The given path is empty"
i, t, closeto = _locate(path, t, segments=segments)
x0, y0 = path[i].x, path[i].y
p1 = path[i + 1]
if p1.cmd == CLOSE:
x, y = linepoint(t, x0, y0, closeto.x, closeto.y)
return DynamicPathElement(LINETO, ((x, y), ))
elif p1.cmd == LINETO:
x1, y1 = p1.x, p1.y
x, y = linepoint(t, x0, y0, x1, y1)
return DynamicPathElement(LINETO, ((x, y), ))
elif p1.cmd == CURVETO:
# Note: the handles need to be interpreted differenty than in a BezierPath.
# In a BezierPath, ctrl1 is how the curve started, and ctrl2 how it arrives in this point.
# Here, ctrl1 is how the curve arrives, and ctrl2 how it continues to the next point.
x3, y3, x1, y1, x2, y2 = p1.x, p1.y, p1.ctrl1.x, p1.ctrl1.y, p1.ctrl2.x, p1.ctrl2.y
x, y, c1x, c1y, c2x, c2y = curvepoint(t, x0, y0, x1, y1, x2, y2, x3,
y3)
return DynamicPathElement(CURVETO, ((c1x, c1y), (c2x, c2y), (x, y)))
else:
raise PathError, "Unknown cmd '%s' for p1 %s" % (p1.cmd, p1)
def point(path, t, segments=None):
""" Returns coordinates for point at t on the path.
Gets the length of the path, based on the length of each curve and line in the path.
Determines in what segment t falls. Gets the point on that segment.
When you supply the list of segment lengths yourself, as returned from length(path, segmented=True),
point() works about thirty times faster in a for-loop since it doesn't need to recalculate
the length during each iteration.
"""
if len(path) == 0:
raise PathError, "The given path is empty"
i, t, closeto = _locate(path, t, segments=segments)
x0, y0 = path[i].x, path[i].y
p1 = path[i+1]
if p1.cmd == CLOSE:
x, y = linepoint(t, x0, y0, closeto.x, closeto.y)
return DynamicPathElement(LINETO, ((x, y),))
elif p1.cmd == LINETO:
x1, y1 = p1.x, p1.y
x, y = linepoint(t, x0, y0, x1, y1)
return DynamicPathElement(LINETO, ((x, y),))
elif p1.cmd == CURVETO:
# Note: the handles need to be interpreted differenty than in a BezierPath.
# In a BezierPath, ctrl1 is how the curve started, and ctrl2 how it arrives in this point.
# Here, ctrl1 is how the curve arrives, and ctrl2 how it continues to the next point.
x3, y3, x1, y1, x2, y2 = p1.x, p1.y, p1.ctrl1.x, p1.ctrl1.y, p1.ctrl2.x, p1.ctrl2.y
x, y, c1x, c1y, c2x, c2y = curvepoint(t, x0, y0, x1, y1, x2, y2, x3, y3)
return DynamicPathElement(CURVETO, ((c1x, c1y), (c2x, c2y), (x, y)))
else:
raise PathError, "Unknown cmd '%s' for p1 %s" % (p1.cmd, p1)
def insert_point(path, t):
""" Returns a path copy with an extra point at t.
"""
# Find the points before and after t on the path.
i, t, closeto = _locate(path, t)
x0 = path[i].x
y0 = path[i].y
p1 = path[i+1]
p1cmd, x3, y3, x1, y1, x2, y2 = p1.cmd, p1.x, p1.y, p1.ctrl1.x, p1.ctrl1.y, p1.ctrl2.x, p1.ctrl2.y
# Construct the new point at t.
if p1cmd == CLOSE:
pt_cmd = LINETO
pt_x, pt_y = linepoint(t, x0, y0, closeto.x, closeto.y)
elif p1cmd == LINETO:
pt_cmd = LINETO
pt_x, pt_y = linepoint(t, x0, y0, x3, y3)
elif p1cmd == CURVETO:
pt_cmd = CURVETO
pt_x, pt_y, pt_c1x, pt_c1y, pt_c2x, pt_c2y, pt_h1x, pt_h1y, pt_h2x, pt_h2y = \
curvepoint(t, x0, y0, x1, y1, x2, y2, x3, y3, True)
else:
raise PathError, "Locate should not return a MOVETO"
new_path = BezierPath(None)
new_path.moveto(path[0].x, path[0].y)
for j in range(1, len(path)):
if j == i+1:
if pt_cmd == CURVETO:
new_path.curveto(pt_h1x, pt_h1y, pt_c1x, pt_c1y, pt_x, pt_y)
new_path.curveto(pt_c2x, pt_c2y, pt_h2x, pt_h2y, path[j].x, path[j].y)
elif pt_cmd == LINETO:
new_path.lineto(pt_x, pt_y)
if path[j].cmd != CLOSE:
new_path.lineto(path[j].x, path[j].y)
else:
new_path.closepath()
else:
raise PathError, "Didn't expect pt_cmd %s here" % pt_cmd
else:
if path[j].cmd == MOVETO:
new_path.moveto(path[j].x, path[j].y)
if path[j].cmd == LINETO:
new_path.lineto(path[j].x, path[j].y)
if path[j].cmd == CURVETO:
new_path.curveto(path[j].ctrl1.x, path[j].ctrl1.y,
path[j].ctrl2.x, path[j].ctrl2.y,
path[j].x, path[j].y)
if path[j].cmd == CLOSE:
new_path.closepath()
return new_path
def insert_point(path, t):
""" Inserts an extra point at t.
"""
# Find the points before and after t on the path.
i, t, closeto = _locate(path, t)
x0 = path[i].x
y0 = path[i].y
p1 = path[i + 1]
p1cmd, x3, y3, x1, y1, x2, y2 = p1.cmd, p1.x, p1.y, p1.ctrl1.x, p1.ctrl1.y, p1.ctrl2.x, p1.ctrl2.y
# Construct the new point at t.
if p1cmd == CLOSE:
pt_cmd = LINETO
pt_x, pt_y = linepoint(t, x0, y0, closeto.x, closeto.y)
elif p1cmd == LINETO:
pt_cmd = LINETO
pt_x, pt_y = linepoint(t, x0, y0, x3, y3)
elif p1cmd == CURVETO:
pt_cmd = CURVETO
pt_x, pt_y, pt_c1x, pt_c1y, pt_c2x, pt_c2y, pt_h1x, pt_h1y, pt_h2x, pt_h2y = \
curvepoint(t, x0, y0, x1, y1, x2, y2, x3, y3, True)
else:
raise PathError, "Locate should not return a MOVETO"
# NodeBox for OpenGL modifies the path in place,
# NodeBox for Mac OS X returned a path copy (see inactive code below).
if pt_cmd == CURVETO:
path[i + 1].ctrl1.x = pt_c2x
path[i + 1].ctrl1.y = pt_c2y
path[i + 1].ctrl2.x = pt_h2x
path[i + 1].ctrl2.y = pt_h2y
path.insert(
i + 1,
PathElement(cmd=CURVETO,
pts=[(pt_h1x, pt_h1y), (pt_c1x, pt_c1y),
(pt_x, pt_y)]))
elif pt_cmd == LINETO:
path.insert(i + 1, PathElement(cmd=LINETO, pts=[(pt_x, pt_y)]))
else:
raise PathError, "Didn't expect pt_cmd %s here" % pt_cmd
return path[i + 1]
#new_path = BezierPath(None)
#new_path.moveto(path[0].x, path[0].y)
#for j in range(1, len(path)):
# if j == i+1:
# if pt_cmd == CURVETO:
# new_path.curveto(pt_h1x, pt_h1y, pt_c1x, pt_c1y, pt_x, pt_y)
# new_path.curveto(pt_c2x, pt_c2y, pt_h2x, pt_h2y, path[j].x, path[j].y)
# elif pt_cmd == LINETO:
# new_path.lineto(pt_x, pt_y)
# if path[j].cmd != CLOSE:
# new_path.lineto(path[j].x, path[j].y)
# else:
# new_path.closepath()
# else:
# raise PathError, "Didn't expect pt_cmd %s here" % pt_cmd
# else:
# if path[j].cmd == MOVETO:
# new_path.moveto(path[j].x, path[j].y)
# if path[j].cmd == LINETO:
# new_path.lineto(path[j].x, path[j].y)
# if path[j].cmd == CURVETO:
# new_path.curveto(path[j].ctrl1.x, path[j].ctrl1.y,
# path[j].ctrl2.x, path[j].ctrl2.y,
# path[j].x, path[j].y)
# if path[j].cmd == CLOSE:
# new_path.closepath()
return new_path
def insert_point(path, t):
""" Inserts an extra point at t.
"""
# Find the points before and after t on the path.
i, t, closeto = _locate(path, t)
x0 = path[i].x
y0 = path[i].y
p1 = path[i+1]
p1cmd, x3, y3, x1, y1, x2, y2 = p1.cmd, p1.x, p1.y, p1.ctrl1.x, p1.ctrl1.y, p1.ctrl2.x, p1.ctrl2.y
# Construct the new point at t.
if p1cmd == CLOSE:
pt_cmd = LINETO
pt_x, pt_y = linepoint(t, x0, y0, closeto.x, closeto.y)
elif p1cmd == LINETO:
pt_cmd = LINETO
pt_x, pt_y = linepoint(t, x0, y0, x3, y3)
elif p1cmd == CURVETO:
pt_cmd = CURVETO
pt_x, pt_y, pt_c1x, pt_c1y, pt_c2x, pt_c2y, pt_h1x, pt_h1y, pt_h2x, pt_h2y = \
curvepoint(t, x0, y0, x1, y1, x2, y2, x3, y3, True)
else:
raise Exception("Locate should not return a MOVETO")
# NodeBox for OpenGL modifies the path in place,
# NodeBox for Mac OS X returned a path copy (see inactive code below).
if pt_cmd == CURVETO:
path[i+1].ctrl1.x = pt_c2x
path[i+1].ctrl1.y = pt_c2y
path[i+1].ctrl2.x = pt_h2x
path[i+1].ctrl2.y = pt_h2y
path.insert(i+1, PathElement(cmd=CURVETO, pts=[(pt_h1x, pt_h1y), (pt_c1x, pt_c1y), (pt_x, pt_y)]))
elif pt_cmd == LINETO:
path.insert(i+1, PathElement(cmd=LINETO, pts=[(pt_x, pt_y)]))
else:
raise Exception("Didn't expect pt_cmd %s here" % pt_cmd)
return path[i+1]
#new_path = BezierPath(None)
#new_path.moveto(path[0].x, path[0].y)
#for j in range(1, len(path)):
# if j == i+1:
# if pt_cmd == CURVETO:
# new_path.curveto(pt_h1x, pt_h1y, pt_c1x, pt_c1y, pt_x, pt_y)
# new_path.curveto(pt_c2x, pt_c2y, pt_h2x, pt_h2y, path[j].x, path[j].y)
# elif pt_cmd == LINETO:
# new_path.lineto(pt_x, pt_y)
# if path[j].cmd != CLOSE:
# new_path.lineto(path[j].x, path[j].y)
# else:
# new_path.closepath()
# else:
# raise PathError, "Didn't expect pt_cmd %s here" % pt_cmd
# else:
# if path[j].cmd == MOVETO:
# new_path.moveto(path[j].x, path[j].y)
# if path[j].cmd == LINETO:
# new_path.lineto(path[j].x, path[j].y)
# if path[j].cmd == CURVETO:
# new_path.curveto(path[j].ctrl1.x, path[j].ctrl1.y,
# path[j].ctrl2.x, path[j].ctrl2.y,
# path[j].x, path[j].y)
# if path[j].cmd == CLOSE:
# new_path.closepath()
return new_path
