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__main__.py
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from enum import Enum
from typing import Any
import tkinter as tk
import numpy as np
from math import *
class DirectedMultihypergraph:
def __init__(self) -> None:
self.node_to_sources = {}
self.node_to_targets = {}
self.source_to_edges = {}
self.target_to_edges = {}
self.edge_to_source = {}
def add_node(self, node: Any) -> None:
if self.node_to_sources.get(node) != None:
return
self.node_to_sources[node] = []
self.node_to_targets[node] = []
def remove_node(self, node: Any) -> None:
source_list = self.node_to_sources.pop(node)
for source in source_list:
edges = self.source_to_edges.pop(tuple(source))
for edge, target in edges:
self.edge_to_source.pop(edge)
target_list = self.node_to_targets.pop(node)
for target in target_list:
self.target_to_edges.pop(target)
def add_edge(
self,
name: str,
source_set: set | Any,
target_set: set | Any
) -> None:
if not isinstance(source_set, set):
source_set = {source_set,}
for source in source_set:
if source in self.node_to_sources.keys():
self.node_to_sources[source].append(source_set)
else:
self.node_to_sources[source] = [source_set]
if not isinstance(target_set, set):
target_set = {target_set,}
for target in target_set:
if target in self.node_to_targets.keys():
self.node_to_targets[target].append(target_set)
else:
self.node_to_targets[target] = [target_set]
if self.source_to_edges.get(tuple(source_set)) == None:
self.source_to_edges[tuple(source_set)] = [(name, target_set)]
else:
self.source_to_edges[tuple(source_set)].append((name, target_set))
if self.target_to_edges.get(tuple(target_set)) == None:
self.target_to_edges[tuple(target_set)] = [(name, source_set)]
else:
self.target_to_edges[tuple(target_set)].append((name, source_set))
self.edge_to_source[name] = tuple(source_set)
def remove_edge(self, edge):
edge_list = self.source_to_edges[self.edge_to_source[edge]]
for i, (_name, target) in enumerate(edge_list):
if _name == edge:
edge_list.pop(i)
for j, (_name2, source) in enumerate(self.target_to_edges[tuple(target)]):
if _name2 == edge:
self.target_to_edges[tuple(target)].pop(j)
self.edge_to_source.pop(edge)
def __str__(self) -> str:
ret = "nodes: " + ", ".join(
[str(x) for x in self.node_to_sources.keys()]) + "\n"
for source, name_and_target in self.source_to_edges.items():
for (name, target_set) in name_and_target:
ret += str(name) + ": "
ret += ", ".join([str(x) for x in source])
ret += " -> "
ret += ", ".join([str(x) for x in target_set])
ret += "\n"
ret = ret[:-1]
return ret
def edge_to_target(self, edge):
'''
edge -> source -> (edge, target) -> target
'''
source = self.edge_to_source[edge]
for (_edge, target) in self.source_to_edges[source]:
if _edge == edge:
return target
def nodes(self):
return self.node_to_sources.keys()
class FakeNode:
def __init__(self, idx):
self.data = idx
def degenerate(self):
fakenode_index = 0
ret_nodes = set()
ret_edges = []
for source_set in self.source_to_edges.keys():
for edgename, target_set in self.source_to_edges[source_set]:
if len(source_set) == 1 and len(target_set) == 1:
s = list(source_set)[0]
t = list(target_set)[0]
ret_nodes.add(s)
ret_nodes.add(t)
ret_edges.append((s, t, edgename))
else:
fakenode = self.FakeNode(fakenode_index)
fakenode_index += 1
ret_nodes.add(fakenode)
for s in source_set:
ret_nodes.add(s)
ret_edges.append((s, fakenode, edgename))
for t in target_set:
ret_nodes.add(t)
ret_edges.append((fakenode, t, edgename))
return ret_nodes, ret_edges
def degenerate_from_edges(self, edges: set):
fakenode_index = 0
ret_nodes = set()
ret_edges = []
for source_set in self.source_to_edges.keys():
for edgename, target_set in self.source_to_edges[source_set]:
if edgename not in edges:
continue
if len(source_set) == 1 and len(target_set) == 1:
s = list(source_set)[0]
t = list(target_set)[0]
ret_nodes.add(s)
ret_nodes.add(t)
ret_edges.append((s, t, edgename))
else:
fakenode = self.FakeNode(fakenode_index)
fakenode_index += 1
ret_nodes.add(fakenode)
for s in source_set:
ret_nodes.add(s)
ret_edges.append((s, fakenode, edgename))
for t in target_set:
ret_nodes.add(t)
ret_edges.append((fakenode, t, edgename))
return ret_nodes, ret_edges
def force_directed_layout(nodes, edges, width_and_height, iterations=100, k=None):
width = width_and_height[0]
height = width_and_height[1]
num_nodes = len(nodes)
positions = {node: np.random.rand(2) * [width, height] for node in nodes} # 随机初始化节点位置
# 理想间距
area = width * height
if k is None:
k = np.sqrt(area / num_nodes) / 1.5
# 模拟力导向算法
for iter_n in range(iterations):
forces = {node: np.array([0.0, 0.0]) for node in nodes}
# 计算引力 (attractive force)
for edge in edges:
node_i, node_j = edge[0], edge[1]
delta = positions[node_i] - positions[node_j]
distance = np.linalg.norm(delta)
if distance == 0:
distance = 0.01
attractive_force = (distance * log(distance / k)) * (delta / distance)
forces[node_i] -= attractive_force
forces[node_j] += attractive_force
for node in nodes:
positions[node] += forces[node] * 0.1
positions[node] = np.clip(positions[node], [0, 0], [width, height])
forces = {node: np.array([0.0, 0.0]) for node in nodes}
# 计算斥力 (repulsive force)
for i in range(num_nodes):
for j in range(i + 1, num_nodes):
node_i, node_j = nodes[i], nodes[j]
delta = positions[node_i] - positions[node_j]
distance = np.linalg.norm(delta)
if distance == 0:
distance = 0.01
repulsive_force = (1000 * k / (distance ** 3)) * (delta / distance)
forces[node_i] += repulsive_force
forces[node_j] -= repulsive_force
# 更新节点位置
for node in nodes:
positions[node] += forces[node]
positions[node] = np.clip(positions[node], [0, 0], [width, height])
# if iter_n % 4 == 0:
# print(1111111)
# ret.append(positions.copy())
# ret.append(positions.copy())
return positions
def create_circle(canvas, x, y, r, **kwargs):
x1, y1 = x - r, y - r
x2, y2 = x + r, y + r
return canvas.create_oval(x1, y1, x2, y2, **kwargs)
def add_arrow_to_line(canvas, line_id, arrow_length=7, arrow_angle=30):
x1, y1, x2, y2 = canvas.coords(line_id)
tip_x, tip_y = x2, y2
base_x, base_y = (x1 + x2) / 2, (y1 + y2) / 2
line_angle = atan2(tip_y - base_y, tip_x - base_x)
angle1 = line_angle + radians(arrow_angle)
angle2 = line_angle - radians(arrow_angle)
arrow_x1 = base_x - arrow_length * cos(angle1)
arrow_y1 = base_y - arrow_length * sin(angle1)
arrow_x2 = base_x - arrow_length * cos(angle2)
arrow_y2 = base_y - arrow_length * sin(angle2)
canvas.create_line(base_x, base_y, arrow_x1, arrow_y1, fill="white", width=2)
canvas.create_line(base_x, base_y, arrow_x2, arrow_y2, fill="white", width=2)
def hsl_to_rgb(h, s, l):
c = (1 - abs(2 * l - 1)) * s
x = c * (1 - abs((h / 60) % 2 - 1))
m = l - c / 2
if 0 <= h < 60:
r, g, b = c, x, 0
elif 60 <= h < 120:
r, g, b = x, c, 0
elif 120 <= h < 180:
r, g, b = 0, c, x
elif 180 <= h < 240:
r, g, b = 0, x, c
elif 240 <= h < 300:
r, g, b = x, 0, c
else:
r, g, b = c, 0, x
r, g, b = (r + m) * 255, (g + m) * 255, (b + m) * 255
return int(r), int(g), int(b)
def rgb_to_hex(rgb):
return "#{:02x}{:02x}{:02x}".format(rgb[0], rgb[1], rgb[2])
def nbits_max(n):
return 2 ** n - 1
COLOR_PALETTE_BITS = 32 # = 8 * n
# e.g. COLOR_PALETTE_BITS = 32 = 8 * n
# 32 - 1 = 1 + 2 + 4 + 8 + 16
# 16 = 2 ^ 4
# obviously, 4 = binary_digits(32) - 2
# consequently, if COLOR_PALETTE_BITS = 32, INDEX_MAX = 4
INDEX_MAX = COLOR_PALETTE_BITS.bit_length() - 2
def bits_field(n, start, len):
return (n & nbits_max(start + len)) >> start
def set_bit(num, k, value):
mask = ~(1 << k)
num &= mask
num |= (value << k)
return num
frac = tuple
def frac_to_rgb(frac_color: frac, s = 0.5, l = 0.5):
denominator = frac_color[0]
numberator = frac_color[1]
hue = 360 / denominator * numberator
return hsl_to_rgb(hue, s, l)
class ColorPalette:
def __init__(self):
self.data = 0
def next(self) -> frac:
if bits_field(self.data, start = 0, len = 1) == 0b0:
self.data = set_bit(self.data, 0, 1)
return 1, 1
start = index = 1
while index <= INDEX_MAX:
field = bits_field(self.data, start, index)
if field != nbits_max(index):
for x in range(0, index):
if bits_field(field, x, 1) == 0b0:
self.data = set_bit(self.data, start + x, 1)
return index + 1, x + 1
index <<= 1
raise "数据结构已满"
# 其实是可以引入动态长度的,很简单,但是目前不想做
# 同一个 field 可以压缩到一个bit, 声明它已满,如果数据量极大可以这样做
def add(self, frac_color: frac):
denominator = frac_color[0]
numberator = frac_color[1]
if denominator == 1:
field_start = 0
else:
field_start = 2 * ((1 << (denominator - 1)) - 1)
self.data = set_bit(self.data, field_start + numberator - 1, 1)
def remove(self, frac_color: frac):
denominator = frac_color[0]
numberator = frac_color[1]
if denominator == 1:
field_start = 0
else:
field_start = 2 * ((1 << (denominator - 1)) - 1)
self.data = set_bit(self.data, field_start + numberator - 1, 0)
# 根据source找到所有的source-target对
# 对于一个source-target对:
# 如果source或target的长度都为1,直接解包后塞进ret
# 否则创建一个fakenode,然后把遍历source和target,将它们与fakenode的连接塞进ret
# 分布式数据结构也是未来要做的
class ContextSet:
def __init__(
self,
name,
first_node_bs_edge: int,
sources,
target
):
self.name = name
self.data = [(first_node_bs_edge, sources, target)]
def add(self, bs_edge, sources, target):
if bs_edge in self.data:
raise "对 Context 的操作会引入圈"
self.data.append((bs_edge, sources, target))
def bsnodes_to_bs_edges_in_this(
self,
bsnodes,
bsnode_to_bs_edge_list
) -> set:
ret = set()
for bsnode in bsnodes:
bs_edge_list = bsnode_to_bs_edge_list[bsnode]
for bs_edge in bs_edge_list:
if bs_edge in self.data:
ret.add(bs_edge)
return ret
def exist(self, sources, target):
for (_edge, _sources, _target) in self.data:
if sources == _sources and target == _target:
return True
return False
class LINKER(Enum):
CONS = 0
MERGE = 1
class Deterritorializer:
def get_count(self) -> int:
self.counter += 1
return self.counter
def __init__(self) -> None:
self.base_space = DirectedMultihypergraph()
self.base_space.add_node("@ORIGIN")
self.base_space.add_edge("@ORIGIN", "@ORIGIN", "@ORIGIN")
self.edge_to_linker = {}
origin_cs = ContextSet("@ORIGIN", "@ORIGIN", "@ORIGIN", "@ORIGIN")
self.context_to_cs = {"@ORIGIN" : origin_cs}
self.counter = 0
def add_normal_description(self, desc_str, sources, target, context: str):
self.base_space.add_node(target)
bs_edge = self.get_count()
self.base_space.add_edge(
bs_edge,
sources,
target
)
self.context_to_cs[context].add(bs_edge, sources, target)
self.edge_to_linker[bs_edge] = (
self.context_to_cs[context],
LINKER.CONS, # linker: apply name of s_d
desc_str
)
def add_description(self, desc_str, sources, target, contexts, new_context = None):
if new_context == None:
self.add_normal_description(
desc_str,
sources,
target,
contexts
)
return
self.base_space.add_node(target)
bs_edge = self.get_count()
self.base_space.add_edge(
bs_edge,
sources,
target
)
if new_context in contexts and self.context_to_cs[new_context].exist(sources, target):
raise "对 Context 的操作会引入重边"
if new_context not in contexts:
self.context_to_cs[new_context] = ContextSet(new_context, bs_edge, sources, target)
else:
self.context_to_cs[new_context].add(bs_edge, sources, target)
self.edge_to_linker[bs_edge] = (
self.context_to_cs[new_context],
LINKER.MERGE, # linker: apply name of s_d
desc_str
)
# 这个算法目前非常慢,它需要遍历整个 base_space
def context_extension(self, context):
edges = set()
cs = self.context_to_cs[context]
for _edge, sources, target in cs.data:
if isinstance(sources, set):
for source in sources:
for _source in self.base_space.node_to_sources[source]:
if tuple(_source) not in self.base_space.target_to_edges.keys():
continue
for name, _ in self.base_space.target_to_edges[tuple(_source)]:
edges.add(name)
else:
source = sources
for _source in self.base_space.node_to_sources[source]:
if tuple(_source) not in self.base_space.target_to_edges.keys():
continue
for name, _ in self.base_space.target_to_edges[tuple(_source)]:
edges.add(name)
if isinstance(sources, set):
for source in sources:
for _source in self.base_space.node_to_targets[source]:
if tuple(_source) not in self.base_space.target_to_edges.keys():
continue
for name, _ in self.base_space.target_to_edges[tuple(_source)]:
edges.add(name)
else:
source = sources
for _source in self.base_space.node_to_targets[source]:
if tuple(_source) not in self.base_space.target_to_edges.keys():
continue
for name, _ in self.base_space.target_to_edges[tuple(_source)]:
edges.add(name)
if isinstance(sources, set):
for source in sources:
for _source in self.base_space.node_to_sources[source]:
if tuple(_source) not in self.base_space.source_to_edges.keys():
continue
for name, _ in self.base_space.source_to_edges[tuple(_source)]:
edges.add(name)
else:
source = sources
for _source in self.base_space.node_to_sources[source]:
if tuple(_source) not in self.base_space.source_to_edges.keys():
continue
for name, _ in self.base_space.source_to_edges[tuple(_source)]:
edges.add(name)
if isinstance(sources, set):
for source in sources:
for _source in self.base_space.node_to_targets[source]:
if tuple(_source) not in self.base_space.source_to_edges.keys():
continue
for name, _ in self.base_space.source_to_edges[tuple(_source)]:
edges.add(name)
else:
source = sources
for _source in self.base_space.node_to_targets[source]:
if tuple(_source) not in self.base_space.source_to_edges.keys():
continue
for name, _ in self.base_space.source_to_edges[tuple(_source)]:
edges.add(name)
# 必然是单 target
if (target, ) in self.base_space.source_to_edges.keys():
for name, _ in self.base_space.source_to_edges[(target, )]:
edges.add(name)
if (target, ) in self.base_space.target_to_edges.keys():
for name, _ in self.base_space.target_to_edges[(target, )]:
edges.add(name)
return self.base_space.degenerate_from_edges(edges)
def __render_context_list(self, canvas: tk.Canvas, cs_to_color: dict[ContextSet, frac], canvas_height: int):
height = len(cs_to_color.keys()) * 10
xstart = 10
ystart = canvas_height - height
font_style = ('Arial', 6)
for cs, color in cs_to_color.items():
canvas.create_line(xstart, ystart, xstart + 20, ystart, width=6, fill=rgb_to_hex(frac_to_rgb(color, 0.5, 0.5)))
canvas.create_text(xstart + 25, ystart - 6, text=cs.name, fill="white", anchor='nw', font=font_style)
ystart += 10
def render(self, width_and_height, context = None, iterations = 4, window: tk.Tk | None = None):
if window == None:
is_window_none = True
else:
is_window_none = False
if window == None:
window = tk.Tk()
window.protocol("WM_DELETE_WINDOW", window.quit)
window.title("Deterritorializer Alpha")
canvas_height = 500
canvas = tk.Canvas(window, width=500, height=canvas_height, bg="black")
canvas.pack()
if context == None:
nodes, edges = self.base_space.degenerate()
else:
nodes, edges = self.context_extension(context)
positions = force_directed_layout(list(nodes), edges, width_and_height, iterations)
color_palette = ColorPalette()
cs_to_color = {}
def on_click_line_button1(edge):
canvas.destroy()
self.render(width_and_height, context=self.edge_to_linker[edge][0].name, iterations = iterations, window = window)
def on_click_line_button3(edge):
print(1)
text_window = tk.Tk()
text = tk.Text(text_window, height=8)
text.pack()
text.insert('1.0', self.edge_to_linker[edge][2])
text_window.mainloop()
for edge in edges:
node_i, node_j = edge[0], edge[1]
edge_name = edge[2]
if edge_name != '@ORIGIN':
cs = self.edge_to_linker[edge_name][0]
if cs not in cs_to_color:
color = color_palette.next()
cs_to_color[cs] = color
else:
color = cs_to_color[cs]
line = canvas.create_line(
*positions[node_i],
*positions[node_j],
fill=rgb_to_hex(frac_to_rgb(color, 0.5, 0.5)),
width=3
)
canvas.tag_bind(
line,
"<Button-1>",
lambda event: on_click_line_button1(edge_name)
)
canvas.tag_bind(
line,
"<Button-3>",
lambda event: on_click_line_button3(edge_name)
)
if not isinstance(node_i, DirectedMultihypergraph.FakeNode):
create_circle(canvas, *positions[node_i],4, fill="red", outline="gray"),
if not isinstance(node_j, DirectedMultihypergraph.FakeNode):
create_circle(canvas, *positions[node_j],4, fill="red", outline="gray"),
if node_i != node_j:
add_arrow_to_line(canvas, line)
for node in nodes:
if isinstance(node, DirectedMultihypergraph.FakeNode):
continue
x, y = positions[node]
canvas.create_text(x, y, text=str(node), fill="white", anchor='nw', font=('Arial', 8))
self.__render_context_list(canvas, cs_to_color, canvas_height)
if is_window_none:
window.mainloop()
else:
window.update()
d15r = Deterritorializer()
d15r.add_description("Test description", "@ORIGIN", "概念1", "@ORIGIN", new_context="new context")
d15r.add_description("Test description", "概念1", "概念2", "new context")
d15r.add_description("Test description", set(["概念1", "概念2"]), "概念3", "new context")
d15r.add_description("Test description", "概念3", "概念4", "new context", new_context="new context2")
d15r.render((400, 300), context="new context")