def plot_ks(segs, nodes, xo, yo, xscale, yscale):
j = 0
cmd = 'moveto'
x = xo
for i in range(len(segs)):
i1 = (i + 1) % len(nodes)
n0 = nodes[i]
n1 = nodes[i1]
x0, y0, t0 = n0.x, n0.y, n0.ty
x1, y1, t1 = n1.x, n1.y, n1.ty
ks = segs[i].ks
chord, ch_th = poly3.integ_chord(ks)
l = chord/segs[i].chord
k0 = l * poly3.eval_cubic(ks[0], ks[1], .5 * ks[2], 1./6 * ks[3], -.5)
print x, yo + yscale * k0, cmd
cmd = 'lineto'
k3 = l * poly3.eval_cubic(ks[0], ks[1], .5 * ks[2], 1./6 * ks[3], .5)
k1 = k0 + l/3 * (ks[1] - 0.5 * ks[2] + .125 * ks[3])
k2 = k3 - l/3 * (ks[1] + 0.5 * ks[2] + .125 * ks[3])
print x + xscale / l / 3., yo + yscale * k1
print x + 2 * xscale / l / 3., yo + yscale * k2
print x + xscale / l, yo + yscale * k3, 'curveto'
x += xscale / l
if t1 == 'v':
j += 2
else:
j += 1
print 'stroke'
print xo, yo, 'moveto', x, yo, 'lineto stroke'
def plot_ks(path, th, k):
if path[0][2] == '{': closed = 0
else: closed = 1
j = 0
cmd = 'moveto'
xo = 36
yo = 550
xscale = .5
yscale = 2000
x = xo
for i in range(len(path) + closed - 1):
i1 = (i + 1) % len(path)
x0, y0, t0 = path[i]
x1, y1, t1 = path[i1]
j1 = (j + 1) % len(th)
th0 = th[j]
k0 = k[j]
th1 = th[j1]
k1 = k[j1]
chord_th = atan2(y1 - y0, x1 - x0)
chord_len = hypot(y1 - y0, x1 - x0)
ks = poly3.solve_3spiro(mod_2pi(chord_th - th0),
mod_2pi(th1 - chord_th), k0 * chord_len,
k1 * chord_len)
ksp = (ks[0] * .5, ks[1] * .25, ks[2] * .125, ks[3] * .0625)
pside = poly3.int_3spiro_poly(ksp, 64)
ksm = (ks[0] * -.5, ks[1] * .25, ks[2] * -.125, ks[3] * .0625)
mside = poly3.int_3spiro_poly(ksm, 64)
print '%', x0, y0, k0, k1
print "% ks = ", ks
l = 2 * chord_len / hypot(pside[-1][0] + mside[-1][0],
pside[-1][1] + mside[-1][1])
for i in range(100):
s = .01 * i - 0.5
kp = poly3.eval_cubic(ks[0], ks[1], .5 * ks[2], 1. / 6 * ks[3], s)
kp /= l
print x + xscale * l * (s + .5), yo + yscale * kp, cmd
cmd = 'lineto'
x += xscale * l
if t1 == 'v':
j += 2
else:
j += 1
print 'stroke'
print xo, yo, 'moveto', x, yo, 'lineto stroke'
def plot_ks(path, th, k):
if path[0][2] == '{': closed = 0
else: closed = 1
j = 0
cmd = 'moveto'
xo = 36
yo = 550
xscale = .5
yscale = 2000
x = xo
for i in range(len(path) + closed - 1):
i1 = (i + 1) % len(path)
x0, y0, t0 = path[i]
x1, y1, t1 = path[i1]
j1 = (j + 1) % len(th)
th0 = th[j]
k0 = k[j]
th1 = th[j1]
k1 = k[j1]
chord_th = atan2(y1 - y0, x1 - x0)
chord_len = hypot(y1 - y0, x1 - x0)
ks = poly3.solve_3spiro(mod_2pi(chord_th - th0),
mod_2pi(th1 - chord_th),
k0 * chord_len, k1 * chord_len)
ksp = (ks[0] * .5, ks[1] * .25, ks[2] * .125, ks[3] * .0625)
pside = poly3.int_3spiro_poly(ksp, 64)
ksm = (ks[0] * -.5, ks[1] * .25, ks[2] * -.125, ks[3] * .0625)
mside = poly3.int_3spiro_poly(ksm, 64)
print '%', x0, y0, k0, k1
print "% ks = ", ks
l = 2 * chord_len / hypot(pside[-1][0] + mside[-1][0], pside[-1][1] + mside[-1][1])
for i in range(100):
s = .01 * i - 0.5
kp = poly3.eval_cubic(ks[0], ks[1], .5 * ks[2], 1./6 * ks[3], s)
kp /= l
print x + xscale * l * (s + .5), yo + yscale * kp, cmd
cmd = 'lineto'
x += xscale * l
if t1 == 'v':
j += 2
else:
j += 1
print 'stroke'
print xo, yo, 'moveto', x, yo, 'lineto stroke'