def tikz_command(cls, matching, with_env=False, colour_factors=False):
if colour_factors and cls.direct_norm(matching) > 1:
fst, snd = cls.factorise(matching)
fst_size, snd_size = len(fst)*2, len(snd)*2
shifted_snd = ((src+fst_size+1, tar+fst_size+1) for (src,tar) in snd)
command = wrap_tikz_command('factoredArches', fst_size, to_tikz_pair_loop(fst), snd_size, to_tikz_pair_loop(shifted_snd))
else:
command = wrap_tikz_command('arches', 2*len(matching), to_tikz_pair_loop(matching))
return wrap_tikz_env('tikzpicture', command) if with_env else command
def tikz_command(cls, triangulation, with_env=False, colour_factors=False):
num_vertices = cls.direct_norm(triangulation) + 1
if colour_factors and triangulation != cls.generator():
split = cls.direct_norm(cls.factorise(triangulation)[0]) + 1
red_chords_tex = to_tikz_pair_loop(chord for chord in triangulation
if max(chord) <= split)
blue_chords_tex = to_tikz_pair_loop(chord
for chord in triangulation
if split <= min(chord))
command = wrap_tikz_command('factoredTriangulation', num_vertices,
split, red_chords_tex, blue_chords_tex)
else:
chords_tex_format = to_tikz_pair_loop(
chord for chord in triangulation
if (min(chord), max(chord)) != (1, num_vertices))
command = wrap_tikz_command('triangulation', num_vertices,
chords_tex_format)
if with_env:
return wrap_tikz_env('tikzpicture', command)
else:
return command
def tikz_full(cls,
triangulation,
radius='2',
vertex_radius='3pt',
label_offset='.5'):
with open(TEX_TEMPLATES_PATH + '/triangulation-full.tex') as template:
num_vertices = cls.direct_norm(triangulation)
chords_tex_format = to_tikz_pair_loop(
chord for chord in triangulation
if (min(chord), max(chord)) != (1, num_vertices))
output = (template.read().replace(
'SUB_RADIUS', str(radius)).replace(
'SUB_VERTEX_RADIUS', str(vertex_radius)).replace(
'SUB_LABEL_OFFSET',
str(label_offset)).replace('SUB_NUM_VERTICES',
str(num_vertices)).replace(
'SUB_CHORDS',
chords_tex_format))
return output
def tikz_command(cls, dyck_path, with_env=False, colour_factors=False):
if colour_factors:
command = cls.coloured_factors_tikz_command(dyck_path)
else:
x,y = (0,0)
step_dir = {'E': (1,0), 'N': (0,1)}
path = []
for step in dyck_path:
dx,dy = step_dir[step]
x += dx
y += dy
path.append((x,y))
command = wrap_tikz_command('dyckPath', to_tikz_pair_loop(path))
return wrap_tikz_env('tikzpicture', command) if with_env else command
def tikz_command(cls, chords, radius=2, with_env=False):
command = wrap_tikz_command('nonCrossingChords', radius, 2*len(chords), to_tikz_pair_loop(chords))
return wrap_tikz_env('tikzpicture', command) if with_env else command