dagdeps.py

"""Example for generating an arbitrary DAG as a dependency map.

This demo uses networkx to generate the graph.

Authors
-------
* MinRK
"""

from random import randint

import networkx as nx

import ipyparallel as parallel


def randomwait():
    import time
    from random import random

    time.sleep(random())
    return time.time()


def random_dag(nodes, edges):
    """Generate a random Directed Acyclic Graph (DAG) with a given number of nodes and edges."""
    G = nx.DiGraph()
    for i in range(nodes):
        G.add_node(i)
    while edges > 0:
        a = randint(0, nodes - 1)
        b = a
        while b == a:
            b = randint(0, nodes - 1)
        G.add_edge(a, b)
        if nx.is_directed_acyclic_graph(G):
            edges -= 1
        else:
            # we closed a loop!
            G.remove_edge(a, b)
    return G


def add_children(G, parent, level, n=2):
    """Add children recursively to a binary tree."""
    if level == 0:
        return
    for i in range(n):
        child = parent + str(i)
        G.add_node(child)
        G.add_edge(parent, child)
        add_children(G, child, level - 1, n)


def make_bintree(levels):
    """Make a symmetrical binary tree with @levels"""
    G = nx.DiGraph()
    root = '0'
    G.add_node(root)
    add_children(G, root, levels, 2)
    return G


def submit_jobs(view, G, jobs):
    """Submit jobs via client where G describes the time dependencies."""
    results = {}
    for node in nx.topological_sort(G):
        with view.temp_flags(after=[results[n] for n in G.predecessors(node)]):
            results[node] = view.apply(jobs[node])
    return results


def validate_tree(G, results):
    """Validate that jobs executed after their dependencies."""
    for node in G:
        started = results[node].metadata.started
        for parent in G.predecessors(node):
            finished = results[parent].metadata.completed
            assert started > finished, f"{node} should have happened after {parent}"


def main(nodes, edges):
    """Generate a random graph, submit jobs, then validate that the
    dependency order was enforced.
    Finally, plot the graph, with time on the x-axis, and
    in-degree on the y (just for spread).  All arrows must
    point at least slightly to the right if the graph is valid.
    """
    from matplotlib import pyplot as plt
    from matplotlib.cm import gist_rainbow
    from matplotlib.dates import date2num

    print("building DAG")
    G = random_dag(nodes, edges)
    jobs = {}
    pos = {}
    colors = {}
    for node in G:
        jobs[node] = randomwait

    client = parallel.Client()
    view = client.load_balanced_view()
    print("submitting %i tasks with %i dependencies" % (nodes, edges))
    results = submit_jobs(view, G, jobs)
    print("waiting for results")
    client.wait_interactive()
    for node in G:
        md = results[node].metadata
        start = date2num(md.started)
        runtime = date2num(md.completed) - start
        pos[node] = (start, runtime)
        colors[node] = md.engine_id
    validate_tree(G, results)
    nx.draw(
        G,
        pos,
        node_list=list(colors.keys()),
        node_color=list(colors.values()),
        cmap=gist_rainbow,
        with_labels=False,
    )
    x, y = zip(*pos.values())
    xmin, ymin = map(min, (x, y))
    xmax, ymax = map(max, (x, y))
    xscale = xmax - xmin
    yscale = ymax - ymin
    plt.xlim(xmin - xscale * 0.1, xmax + xscale * 0.1)
    plt.ylim(ymin - yscale * 0.1, ymax + yscale * 0.1)
    return G, results


if __name__ == '__main__':
    from matplotlib import pyplot as plt

    # main(5,10)
    main(32, 96)
    plt.show()