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. Note that this has been deprecated:
the Bezier now caches the segment lengths the moment you use
them.
>>> path = Bezier(None)
>>> point(path, 0.0)
Traceback (most recent call last):
...
DeviceError: The given path is empty
>>> path.moveto(0, 0)
>>> point(path, 0.0)
Traceback (most recent call last):
...
DeviceError: The given path is empty
>>> path.lineto(100, 0)
>>> point(path, 0.0)
Curve(LINETO, ((0.0, 0.0),))
>>> point(path, 0.1)
Curve(LINETO, ((10.0, 0.0),))
"""
from ..gfx.bezier import Curve
if len(path) == 0:
raise DeviceError, "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 Curve(LINETO, ((x, y),))
elif p1.cmd == LINETO:
x1, y1 = p1.x, p1.y
x, y = linepoint(t, x0, y0, x1, y1)
return Curve(LINETO, ((x, y),))
elif p1.cmd == CURVETO:
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 Curve(CURVETO, ((c1x, c1y), (c2x, c2y), (x, y)))
else:
raise DeviceError, "Unknown cmd for p1 %s" % 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. Note that this has been deprecated:
the Bezier now caches the segment lengths the moment you use
them.
>>> path = Bezier(None)
>>> point(path, 0.0)
Traceback (most recent call last):
...
DeviceError: The given path is empty
>>> path.moveto(0, 0)
>>> point(path, 0.0)
Traceback (most recent call last):
...
DeviceError: The given path is empty
>>> path.lineto(100, 0)
>>> point(path, 0.0)
Curve(LINETO, ((0.0, 0.0),))
>>> point(path, 0.1)
Curve(LINETO, ((10.0, 0.0),))
"""
from ..gfx.bezier import Curve
if len(path) == 0:
raise DeviceError, "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 Curve(LINETO, ((x, y), ))
elif p1.cmd == LINETO:
x1, y1 = p1.x, p1.y
x, y = linepoint(t, x0, y0, x1, y1)
return Curve(LINETO, ((x, y), ))
elif p1.cmd == CURVETO:
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 Curve(CURVETO, ((c1x, c1y), (c2x, c2y), (x, y)))
else:
raise DeviceError, "Unknown cmd for p1 %s" % p1
def insert_point(path, t):
"""Returns a path copy with an extra point at t.
>>> path = Bezier(None)
>>> path.moveto(0, 0)
>>> insert_point(path, 0.1)
Traceback (most recent call last):
...
DeviceError: The given path is empty
>>> path.moveto(0, 0)
>>> insert_point(path, 0.2)
Traceback (most recent call last):
...
DeviceError: The given path is empty
>>> path.lineto(100, 50)
>>> len(path)
2
>>> path = insert_point(path, 0.5)
>>> len(path)
3
>>> path[1]
Curve(LINETO, ((50.0, 25.0),))
>>> path = Bezier(None)
>>> path.moveto(0, 100)
>>> path.curveto(0, 50, 100, 50, 100, 100)
>>> path = insert_point(path, 0.5)
>>> path[1]
Curve(LINETO, ((25.0, 62.5), (0.0, 75.0), (50.0, 62.5))
"""
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
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 DeviceError, "Locate should not return a MOVETO"
new_path = Bezier(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 DeviceError, "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):
"""Returns a path copy with an extra point at t.
>>> path = BezierPath(None)
>>> path.moveto(0, 0)
>>> insert_point(path, 0.1)
Traceback (most recent call last):
...
NodeBoxError: The given path is empty
>>> path.moveto(0, 0)
>>> insert_point(path, 0.2)
Traceback (most recent call last):
...
NodeBoxError: The given path is empty
>>> path.lineto(100, 50)
>>> len(path)
2
>>> path = insert_point(path, 0.5)
>>> len(path)
3
>>> path[1]
PathElement(LINETO, ((50.0, 25.0),))
>>> path = BezierPath(None)
>>> path.moveto(0, 100)
>>> path.curveto(0, 50, 100, 50, 100, 100)
>>> path = insert_point(path, 0.5)
>>> path[1]
PathElement(LINETO, ((25.0, 62.5), (0.0, 75.0), (50.0, 62.5))
"""
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
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 NodeBoxError, "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 NodeBoxError, "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
