def animate_contraction(g, e, frames = 12, **kwds):
    v1, v2 = e
    if not g.has_edge(v1,v2):
        raise ValueError("Given edge not found on Graph")
    ls = []
    posd = g.get_pos()
    for j in range(frames):
        gp = Graph(g)
        posdp = dict(posd)
        p1 = posdp[v1]
        p2 = posdp[v2]
        posdp[v2] = [a*(frames-j)/frames + b*j/frames
                    for a,b in zip(p2,p1)]

        ls.append(plot(gp, **kwds))
    return ls
def animate_vertex_deletion(g, v, frames = 12, **kwds):
    kwds2 = dict(kwds)
    if 'vertex_colors' in kwds:
        cs = dict(kwds['vertex_colors'])
        for c, vs in kwds['vertex_colors'].items():
            if v in vs:
                vs2 = list(vs)
                cs[c] = vs2
        kwds2['vertex_colors'] = cs
        kwds2 = dict(kwds)
    g2 = Graph(g)
    posd = dict(g.get_pos())
    del posd[v]
    return [plot(g, **kwds),plot(g2, **kwds2)]*int(frames/2)
def animate_edge_deletion(g, e, frames = 12, **kwds):
    v1, v2 = e
    g2 = Graph(g)
    return [plot(g, **kwds),plot(g2, **kwds)]*int(frames/2)
def animate_glide(g, pos1, pos2, frames = 12, **kwds):
    ls = []
    for j in range(frames):
        gp = Graph(g)
        pos = {}
        for v in gp.vertices():
            p1 = pos1[v]
            p2 = pos2[v]
            pos[v] = [b*j/frames + a*(frames-j)/frames
                        for a,b in zip(p1,p2)]    
        ls.append(plot(gp, **kwds))
    return ls
def medio(p1, p2):
    return tuple((a+b)/2 for a,b in zip(p1, p2))

def new_color():
    return (0.1+0.8*random(), 0.1+0.8*random(), 0.1+0.8*random())
def animate_minor(g, m, frames = 12, pause = 50, step_time = 100):
    '''Crea una animación que muestra cómo un grafo tiene un menor m
    posd = dict(g.get_pos())
    posg = posd.values()
    posm = m.get_pos().values()
    xmax = max(max(x for x,y in posg), max(x for x,y in posm))
    ymax = max(max(y for x,y in posg), max(y for x,y in posm))
    xmin = min(min(x for x,y in posg), min(x for x,y in posm))
    ymin = min(min(y for x,y in posg), min(y for x,y in posm))
    dd = g.minor(m)
    #Set colors
    m_colors = dict((v,new_color()) for v in m.vertices())
    g_colors = dict((m_colors[k],vs) 
                        for k,vs in dd.items())

    extra_vs = (set(g.vertices()) - 
                set(v for vs in dd.values() 
                      for v in vs))
    g_colors[(0,0,0)] = list(extra_vs)

    #pics contains the frames of the animation 
    #no colors at the beggining   
    gg = Graph(g)
    pics = [plot(gg)]*frames

    #First: eliminate extra vertices
    for v in extra_vs:
        pics.extend(animate_vertex_deletion(gg, v, frames,
                            vertex_colors = g_colors))
        del posd[v]
    del g_colors[(0,0,0)]
    #Second: contract edges
    for color, vs in g_colors.items():
        while len(vs) > 1:
            for j in range(1, len(vs)):
                if gg.has_edge(vs[0], vs[j]):
            pics.extend(animate_contraction(gg, (vs[0], vs[j]), frames,
                                vertex_colors = g_colors))
            for v in gg.neighbors(vs[j]):
            del posd[vs[j]]
            posd = dict(gg.get_pos())
            del vs[j]

    #Relabel vertices of m so that they match with those of gg
    m = Graph(m)
    dd0 = dict((k, vs[0])  
                  for k,vs in dd.items() )

    #Third: glide to position in m
    pos_m = m.get_pos()
    pos_g = gg.get_pos()
    pics.extend(animate_glide(gg, pos_g, pos_m, frames,
                                vertex_colors = g_colors))
    #Fourth: delete redundant edges
    for e in gg.edges(labels = False):
        if not m.has_edge(e):
            pics.extend(animate_edge_deletion(gg, e, frames,
                                vertex_colors = g_colors))

    #And wait for a moment
    pics.extend([plot(gg, vertex_colors = g_colors)]*frames)
    return animate(pics, xmin = xmin - 0.1, xmax = xmax + 0.1, 
                         ymin = ymin - 0.1, ymax = ymax + 0.1)

interact/graph_theory/wagner.sage (last edited 2020-02-08 13:10:38 by chapoton)