218 lines
8.9 KiB
Python
218 lines
8.9 KiB
Python
from . import distribution
|
|
from .distribution import Distribution
|
|
from .expr import Node
|
|
from typing import Dict, Generic, List, Optional, Set, TypeVar
|
|
import collections
|
|
import matplotlib
|
|
import matplotlib.pyplot as plt
|
|
import numpy as np
|
|
|
|
|
|
T = TypeVar('T')
|
|
|
|
|
|
class Strategy(Generic[T]):
|
|
def __init__(self,
|
|
nodes: Set[Node[T]],
|
|
reads: List[Set[T]],
|
|
read_weights: List[float],
|
|
writes: List[Set[T]],
|
|
write_weights: List[float]) -> None:
|
|
self.nodes = nodes
|
|
self.read_capacity = {node.x: node.read_capacity for node in nodes}
|
|
self.write_capacity = {node.x: node.write_capacity for node in nodes}
|
|
self.reads = reads
|
|
self.read_weights = read_weights
|
|
self.writes = writes
|
|
self.write_weights = write_weights
|
|
|
|
self.unweighted_read_load: Dict[T, float] = \
|
|
collections.defaultdict(float)
|
|
for (read_quorum, weight) in zip(self.reads, self.read_weights):
|
|
for x in read_quorum:
|
|
self.unweighted_read_load[x] += weight
|
|
|
|
self.unweighted_write_load: Dict[T, float] = \
|
|
collections.defaultdict(float)
|
|
for (write_quorum, weight) in zip(self.writes, self.write_weights):
|
|
for x in write_quorum:
|
|
self.unweighted_write_load[x] += weight
|
|
|
|
def __str__(self) -> str:
|
|
non_zero_reads = {tuple(r): p
|
|
for (r, p) in zip(self.reads, self.read_weights)
|
|
if p > 0}
|
|
non_zero_writes = {tuple(w): p
|
|
for (w, p) in zip(self.writes, self.write_weights)
|
|
if p > 0}
|
|
return f'Strategy(reads={non_zero_reads}, writes={non_zero_writes})'
|
|
|
|
def __repr__(self) -> str:
|
|
return (f'Strategy(nodes={self.nodes}, '+
|
|
f'reads={self.reads}, ' +
|
|
f'read_weights={self.read_weights},' +
|
|
f'writes={self.writes}, ' +
|
|
f'write_weights={self.write_weights})')
|
|
|
|
def get_read_quorum(self) -> Set[T]:
|
|
return np.random.choice(self.reads, p=self.read_weights)
|
|
|
|
def get_write_quorum(self) -> Set[T]:
|
|
return np.random.choice(self.writes, p=self.write_weights)
|
|
|
|
def load(self,
|
|
read_fraction: Optional[Distribution] = None,
|
|
write_fraction: Optional[Distribution] = None) \
|
|
-> float:
|
|
d = distribution.canonicalize_rw(read_fraction, write_fraction)
|
|
return sum(weight * self._load(fr)
|
|
for (fr, weight) in d.items())
|
|
|
|
def node_load(self,
|
|
x: T,
|
|
read_fraction: Optional[Distribution] = None,
|
|
write_fraction: Optional[Distribution] = None) \
|
|
-> float:
|
|
d = distribution.canonicalize_rw(read_fraction, write_fraction)
|
|
return sum(weight * self._node_load(x, fr)
|
|
for (fr, weight) in d.items())
|
|
|
|
def capacity(self,
|
|
read_fraction: Optional[Distribution] = None,
|
|
write_fraction: Optional[Distribution] = None) \
|
|
-> float:
|
|
return 1 / self.load(read_fraction, write_fraction)
|
|
|
|
|
|
def plot_node_load(self,
|
|
filename: str,
|
|
nodes: Optional[List[Node[T]]] = None,
|
|
read_fraction: Optional[Distribution] = None,
|
|
write_fraction: Optional[Distribution] = None) \
|
|
-> None:
|
|
fig, ax = plt.subplots()
|
|
self.plot_node_load_on(ax,
|
|
nodes=nodes or list(self.nodes),
|
|
read_fraction=read_fraction,
|
|
write_fraction=write_fraction)
|
|
ax.set_xlabel('Node')
|
|
ax.set_ylabel('Load')
|
|
fig.tight_layout()
|
|
fig.savefig(filename)
|
|
|
|
def plot_node_load_on(self,
|
|
ax: plt.Axes,
|
|
nodes: Optional[List[Node[T]]] = None,
|
|
read_fraction: Optional[Distribution] = None,
|
|
write_fraction: Optional[Distribution] = None) \
|
|
-> None:
|
|
self._plot_node_load_or_capacity_on(plot_load=True,
|
|
ax=ax,
|
|
nodes=nodes,
|
|
read_fraction=read_fraction,
|
|
write_fraction=write_fraction)
|
|
|
|
def plot_node_capacity(self,
|
|
filename: str,
|
|
nodes: Optional[List[Node[T]]] = None,
|
|
read_fraction: Optional[Distribution] = None,
|
|
write_fraction: Optional[Distribution] = None) \
|
|
-> None:
|
|
fig, ax = plt.subplots()
|
|
self.plot_node_capacity_on(ax,
|
|
nodes=nodes or list(self.nodes),
|
|
read_fraction=read_fraction,
|
|
write_fraction=write_fraction)
|
|
ax.set_xlabel('Node')
|
|
ax.set_ylabel('Throughput')
|
|
fig.tight_layout()
|
|
fig.savefig(filename)
|
|
|
|
def plot_node_capacity_on(self,
|
|
ax: plt.Axes,
|
|
nodes: Optional[List[Node[T]]] = None,
|
|
read_fraction: Optional[Distribution] = None,
|
|
write_fraction: Optional[Distribution] = None) \
|
|
-> None:
|
|
self._plot_node_load_or_capacity_on(plot_load=False,
|
|
ax=ax,
|
|
nodes=nodes,
|
|
read_fraction=read_fraction,
|
|
write_fraction=write_fraction)
|
|
|
|
def _node_load(self, x: T, fr: float) -> float:
|
|
"""
|
|
_node_load returns the load on x given a fixed read fraction fr.
|
|
"""
|
|
fw = 1 - fr
|
|
return (fr * self.unweighted_read_load[x] / self.read_capacity[x] +
|
|
fw * self.unweighted_write_load[x] / self.write_capacity[x])
|
|
|
|
def _load(self, fr: float) -> float:
|
|
"""
|
|
_load returns the load given a fixed read fraction fr.
|
|
"""
|
|
return max(self._node_load(node.x, fr) for node in self.nodes)
|
|
|
|
def _plot_node_load_or_capacity_on(
|
|
self,
|
|
plot_load: bool,
|
|
ax: plt.Axes,
|
|
nodes: Optional[List[Node[T]]] = None,
|
|
read_fraction: Optional[Distribution] = None,
|
|
write_fraction: Optional[Distribution] = None) \
|
|
-> None:
|
|
nodes = nodes or list(self.nodes)
|
|
x_list = [node.x for node in nodes]
|
|
x_index = {x: i for (i, x) in enumerate(x_list)}
|
|
x_ticks = list(range(len(x_list)))
|
|
read_cmap = matplotlib.cm.get_cmap('Reds')
|
|
write_cmap = matplotlib.cm.get_cmap('Blues')
|
|
d = distribution.canonicalize_rw(read_fraction, write_fraction)
|
|
fr = sum(weight * fr for (fr, weight) in d.items())
|
|
fw = 1 - fr
|
|
|
|
def read_quorum_to_bar_heights(quorum: Set[T]) -> np.array:
|
|
bar_heights = np.zeros(len(x_list))
|
|
for x in quorum:
|
|
bar_heights[x_index[x]] = 1
|
|
if plot_load:
|
|
bar_heights[x_index[x]] /= self.read_capacity[x]
|
|
return bar_heights
|
|
|
|
def write_quorum_to_bar_heights(quorum: Set[T]) -> np.array:
|
|
bar_heights = np.zeros(len(x_list))
|
|
for x in quorum:
|
|
bar_heights[x_index[x]] = 1
|
|
if plot_load:
|
|
bar_heights[x_index[x]] /= self.write_capacity[x]
|
|
return bar_heights
|
|
|
|
capacity = self.capacity(read_fraction=read_fraction,
|
|
write_fraction=write_fraction)
|
|
|
|
bottom = np.zeros(len(x_list))
|
|
for (i, (rq, weight)) in enumerate(zip(self.reads, self.read_weights)):
|
|
bar_heights = fr * weight * read_quorum_to_bar_heights(rq)
|
|
if not plot_load:
|
|
bar_heights *= capacity
|
|
ax.bar(x_ticks,
|
|
bar_heights,
|
|
bottom=bottom,
|
|
color=read_cmap(1 - i * 0.75 / len(self.reads)),
|
|
edgecolor='white', width=0.8)
|
|
bottom += bar_heights
|
|
|
|
for (i, (wq, weight)) in enumerate(zip(self.writes, self.write_weights)):
|
|
bar_heights = fw * weight * write_quorum_to_bar_heights(wq)
|
|
if not plot_load:
|
|
bar_heights *= capacity
|
|
ax.bar(x_ticks,
|
|
bar_heights,
|
|
bottom=bottom,
|
|
color=write_cmap(1 - i * 0.75 / len(self.writes)),
|
|
edgecolor='white', width=0.8)
|
|
bottom += bar_heights
|
|
|
|
ax.set_xticks(x_ticks)
|
|
ax.set_xticklabels(str(x) for x in x_list)
|