From 2d03ae796fd8a5daf0e68126d9885c591ab615a0 Mon Sep 17 00:00:00 2001 From: Brandon Rhodes Date: Mon, 11 May 2015 23:23:57 -0400 Subject: [PATCH] Re-render chapter, and use Arial for diagrams --- contingent/chapter.dot | 8 +- contingent/chapter.html | 1767 ++++++++++++++++++++++++++++ contingent/chapter.png | Bin 70744 -> 70682 bytes contingent/contingent/rendering.py | 2 +- contingent/figure1.dot | 2 +- contingent/figure1.png | Bin 12754 -> 9824 bytes contingent/figure2.dot | 2 +- contingent/figure2.png | Bin 21491 -> 18476 bytes contingent/figure3.dot | 2 +- contingent/figure3.png | Bin 9820 -> 9980 bytes contingent/figure4.dot | 2 +- contingent/figure4.png | Bin 43780 -> 44574 bytes 12 files changed, 1779 insertions(+), 6 deletions(-) create mode 100644 contingent/chapter.html diff --git a/contingent/chapter.dot b/contingent/chapter.dot index c7099278d..807e4a4d7 100644 --- a/contingent/chapter.dot +++ b/contingent/chapter.dot @@ -1,6 +1,6 @@ digraph { graph [rankdir=LR]; -node [shape=rect penwidth=2 color="#DAB21D" +node [fontname=Arial shape=rect penwidth=2 color="#DAB21D" style=filled fillcolor="#F4E5AD"] {rank=same "read_text_file('chapter.dot')" @@ -25,12 +25,18 @@ node [shape=oval penwidth=0 style=filled fillcolor="#E8EED2" margin="0.05,0"] "chapter_doctests('chapter.rst')" -> "render('chapter.rst')" "check_rst_includes('chapter.rst')" -> "render('chapter.rst')" +"read_text_file('chapter.dot')" -> "chapter_doctests('chapter.rst')" "read_text_file('chapter.dot')" -> "render('chapter.dot')" "read_text_file('chapter.rst')" -> "chapter_doctests('chapter.rst')" "read_text_file('chapter.rst')" -> "check_rst_includes('chapter.rst')" +"read_text_file('chapter.rst')" -> "render('chapter.rst')" "read_text_file('contingent/graphlib.py')" -> "check_rst_includes('chapter.rst')" +"read_text_file('figure1.dot')" -> "chapter_doctests('chapter.rst')" "read_text_file('figure1.dot')" -> "render('figure1.dot')" +"read_text_file('figure2.dot')" -> "chapter_doctests('chapter.rst')" "read_text_file('figure2.dot')" -> "render('figure2.dot')" +"read_text_file('figure3.dot')" -> "chapter_doctests('chapter.rst')" "read_text_file('figure3.dot')" -> "render('figure3.dot')" +"read_text_file('figure4.dot')" -> "chapter_doctests('chapter.rst')" "read_text_file('figure4.dot')" -> "render('figure4.dot')" } \ No newline at end of file diff --git a/contingent/chapter.html b/contingent/chapter.html new file mode 100644 index 000000000..5da33c91a --- /dev/null +++ b/contingent/chapter.html @@ -0,0 +1,1767 @@ + + + + + + +Contingent: A Fully Dynamic Build System + + + +
+

Contingent: A Fully Dynamic Build System

+ +

Build systems have long been a standard tool +within computer programming.

+

The standard make build system, +for which its author won the ACM Software System Award, +was first developed in 1976. +It not only lets you declare +that an output file depends upon one (or more) inputs, +but lets you do this recursively. +A program, for example, might depend upon an object file +which itself depends upon the corresponding source code:

+
+prog: main.o
+        cc -o prog main.o
+
+main.o: main.c
+        cc -C -o main.o main.c
+
+

Should make discover, upon its next invocation, +that the main.c source code file +now has a more recent modify time than main.o, +then it will not only rebuild the main.o object file +but will also rebuild prog itself.

+

Build systems are a common semester project +posed for undergraduate computer science students — +not only because build systems are used in nearly all software projects, +but because their construction involves fundamental data structures +and algorithms involving directed graphs +(which this chapter will later discuss in more detail). +With decades of use and practice behind build systems, +one might expect them to have become completely general-purpose +and ready for even the most extravagant demands.

+

But, in fact, one kind of common interaction between build artifacts — +the problem of dynamic cross-referencing — +is handled so poorly by most build systems +that in this chapter we are inspired +to not only rehearse the standard solution +and data structures used classically to solve the make problem, +but to extend that solution dramatically to a far more demanding domain.

+

The problem, again, is cross-referencing. +Where do cross-references tend to emerge? +In text documents, documentation, and printed books!

+
+

The Problem: Building Document Systems

+

Systems to rebuild formatted documents from source texts +always seem to do too much work, or too little.

+

They do too much work +when they respond to a minor edit +by making you wait for unrelated chapters +to be re-parsed and re-formatted. +But they can also rebuild too little, +leaving you with an inconsistent final product.

+

Consider Sphinx 1.2.3, the current version +of the document builder +that is used for both the official Python language documentation +and many other projects in the Python community. +A Sphinx project’s index.rst +will usually include a table of contents:

+
+Table of Contents
+=================
+
+.. toctree::
+
+   install.rst
+   tutorial.rst
+   api.rst
+
+

This list of chapter filenames +tells Sphinx to include a link to each of the three named chapters +when it builds the index.html output file. +It will also include links to any sections within each chapter. +Stripped of its markup, +the text that results from the above title +and toctree command might be:

+
+Table of Contents
+
+• Installation
+
+• Newcomers Tutorial
+    • Hello, World
+    • Adding Logging
+
+• API Reference
+    • Handy Functions
+    • Obscure Classes
+
+

This table of contents, as you can see, is a mash-up +of information from four different files. +While its basic order and structure come from index.rst, +the actual title of each chapter and section +is pulled from the three chapter source files themselves.

+

If you later reconsider the tutorial’s chapter title — +after all, the word “newcomer” sounds so antique, +as if your users are settlers who have just arrived in pioneer Wyoming — +then you would edit the first line of tutorial.rst +and write something better:

+
+-Newcomers Tutorial
++Beginners Tutorial
+ ==================
+
+ Welcome to the tutorial!
+ This text will take you through the basics of...
+
+

When you are ready to rebuild, +Sphinx will do exactly the right thing! +It will rebuild both the tutorial chapter itself, +and also rebuild the index. +(Piping the output into cat makes Sphinx +announce each rebuilt file on a separate line, +instead of using bare carriage returns +to repeatedly overwrite a single line with these progress updates.)

+
+$ make html | cat
+⋮
+writing output... [ 50%] index
+writing output... [100%] tutorial
+
+

Because Sphinx chose to rebuild both documents, +not only will tutorial.html now feature its new title up at the top, +but the output index.html will display the updated chapter title +in the table of contents. +Sphinx has rebuilt everything so that the output is consistent.

+

What if your edit to tutorial.rst is more minor?

+
+ Beginners Tutorial
+ ==================
+
+-Welcome to the tutorial!
++Welcome to our project tutorial!
+ This text will take you through the basics of...
+
+

In this case there is no need to rebuild index.html +because this minor edit to the interior of a paragraph +does not change any of the information in the table of contents. +But it turns out that Sphinx is not quite as clever +as it might have at first appeared! +It will go ahead and perform the redundant work of rebuilding +index.html even though the resulting contents +will be exactly the same.

+
+writing output... [ 50%] index
+writing output... [100%] tutorial
+
+

You can run diff +on the “before” and “after” versions of index.html +to confirm that your small edit +has had zero effect on the project front page — +yet Sphinx made you wait while it was rebuilt anyway.

+

You might not even notice the extra rebuild effort +for small documents that are easy to compile. +But the delay to your workflow can become significant +when you are making frequent tweaks and edits +to documents that are long, complex, or that involve the generation +of multimedia like plots or animations. +While Sphinx is at least making an effort +not to rebuild every chapter when you make a single change — +it has not, for example, rebuilt install.html or api.html +in response to your tutorial.rst edit — +it is doing more than is necessary.

+

But it turns out that Sphinx does something even worse: +it sometimes does too little, +leaving you with inconsistent output that could be noticed by users.

+

To see one of Sphinx’s simplest failure modes, +first add a cross reference to the top of your API documentation:

+
+ API Reference
+ =============
+
++Before reading this, try reading our :doc:`tutorial`!
++
+ The sections below list every function
+ and every single class and method offered...
+
+

With its usual caution as regards the table of contents, +Sphinx will dutifully rebuild both this API reference document +as well as the index.html home page of your project:

+
+writing output... [ 50%] api
+writing output... [100%] index
+
+

In the api.html output file you can confirm +that Sphinx has included the attractive human-readable title +of the tutorial chapter into the cross reference’s anchor tag:

+
+<p>Before reading this, try reading our
+<a class="reference internal" href="tutorial.html">
+  <em>Beginners Tutorial</em>
+</a>!</p>
+
+

What if you now make another edit +to the title at the top of the tutorial.rst file? +You will have invalidated three output files:

+
    +
  1. The title at the top of tutorial.html is now out of date, +so the file needs to be rebuilt.
  2. +
  3. The table of contents in index.html still has the old title, +so that document needs to be rebuilt.
  4. +
  5. The embedded cross reference in the first paragraph of api.html +still has the old chapter title, +and also needs to be rebuilt.
  6. +
+

What does Sphinx do?

+
+writing output... [ 50%] index
+writing output... [100%] tutorial
+
+

Whoops.

+

Only two files were rebuilt, not three. +Sphinx has failed to correctly rebuild your documentation.

+

If you now push your HTML to the web, +users will see the old title in the cross reference +at the top of api.html +but then a different title — the new one — +once the link has carried them to tutorial.html itself. +This can happen for many kinds of cross reference that Sphinx supports: +chapter titles, section titles, paragraphs, +classes, methods, and functions.

+
+
+

Build Systems and Consistency

+

The problem outlined above is not specific to Sphinx. +Not only does it haunt other document systems, like LaTeX, +but it can even plague projects +that are simply trying to direct compilation steps +with the venerable make utility, +if their assets happen to cross-reference in interesting ways.

+

As the problem is ancient and universal, +its solution is of equally long lineage:

+
+$ rm -r _build/
+$ make html
+
+

If you remove all of the output, +you are guaranteed a complete rebuild! +Some projects even alias rm -r a target named clean +so that only a quick make clean is necessary to wipe the slate.

+

By eliminating every copy of every intermediate or output asset, +a hefty rm -r is able to force the build to start over again +with nothing cached — with no memory of its earlier state +that could possibly lead to a stale product!

+

But could we develop a better approach?

+

What if your build system were a persistent process +that noticed every chapter title, every section title, +and every cross referenced phrase +as it passed from the source code of one document +into the text of another? +Its decisions about whether to rebuild other documents +after a change to a single source file could be precise, +instead of mere guesses, +and correct, +instead of leaving the output in an inconsistent state.

+

The result would be a system like the old static make tool, +but which learned the dependencies between files as they were built — +that added and removed dependencies dynamically +as cross references were added, updated, and then later deleted.

+

In the sections that follow we will construct such a tool in Python, +named Contingent, +that guarantees correctness in the presence of dynamic dependencies +while performing the fewest possible rebuild steps. +While Contingent can be applied to any problem domain, +we will run it against a small version of the problem outlined above.

+
+
+

Linking Tasks To Make a Graph

+

Any build system needs a way to link inputs and outputs. +The three markup texts in our discussion above, +for example, +each produce a corresponding HTML output file. +The most natural way to express these relationships +is as a collection of boxes and arrows — +or, in mathematician terminology, nodes and edges +to form a graph:

+
+figure1.png +

Figure 1. Three files generated by parsing three input texts.

+
+

Each language in which a programmer +might tackle writing a build system +will offer various data structures +with which such a graph of nodes and edges might be represented.

+

How could we represent such a graph in Python?

+

The Python language gives priority to four generic data structures +by giving them direct support in the language syntax. +You can create new instances of these big-four data structures +by simply typing their literal representation into your source code, +and their four type objects are available as built-in symbols +that can be used without being imported.

+
    +
  • The tuple is a read-only sequence +used to hold heterogeneous data — +each slot in a tuple typically means something different. +Here, a tuple holds together a hostname and port number, +and would lose its meaning if the elements were re-ordered:

    +
    +('dropbox.com', 443)
    +
    +
  • +
  • The list is a mutable sequence +used to hold homogenous data — +each item usually has the same structure and meaning as its peers. +Lists can be used either to preserve data’s original input order, +or can be rearranged or sorted +to establish a new and more useful order.

    +
    +['C', 'Awk', 'TCL', 'Python', 'JavaScript']
    +
    +
  • +
  • The set does not preserve order. +Sets remember only whether a given value has been added, +not how many times, +and are therefore the go-to data structure +for removing duplicates from a data stream. +For example, the following two sets, once the language has built them, +will each have three elements:

    +
    +{3, 4, 5}
    +{3, 4, 5, 4, 4, 3, 5, 4, 5, 3, 4, 5}
    +
    +
  • +
  • The dict is an associative data structure for storing values +accessible by a key. +Dicts let the programmer chose the key +by which each value is indexed, +instead of using automatic integer indexing like the tuple and list. +The lookup is backed by a hash table, +which means that dict key lookup runs at the same speed +whether the dict has a dozen or a million keys!

    +
    +{'ssh': 22, 'telnet': 23, 'domain': 53, 'http': 80}
    +
    +
  • +
+

A key to Python’s flexibility +is that these four data structures are composable. +The programmer can arbitrarily nest them inside each other +to produce more complex data stores +whose rules and syntax remain the simple ones +of the underlying tuples, lists, sets, and dicts.

+

Given that each of our graph edges needs +to know at least its origin node and its destination node, +the simplest possible representation would be a tuple. +The top edge in Figure 1 might look like:

+
+('tutorial.rst', 'tutorial.html')
+
+

How can we store several edges? +While our initial impulse might be +to simply throw all of our edge tuples into a list, +that would have disadvantages. +A list is careful to maintain order, +but it is not meaningful to talk about an absolute order +for the edges in a graph. +And a list would be perfectly happy to hold several copies +of exactly the same edge, +even though we only want it to be possible +to draw a single arrow between tutorial.rst and tutorial.html. +The correct choice is thus the set, +which would have us represent Figure 1 as:

+
+{('tutorial.rst', 'tutorial.html'),
+ ('index.rst', 'index.html'),
+ ('api.rst', 'api.html')}
+
+

This would allow quick iteration across all of our edges, +fast insert and delete operations for a single edge, +and a quick way to check whether a particular edge was present.

+ +

Unfortunately, those are not the only operations we need.

+

A build system like Contingent +needs to understand the relationship between a given node +and all the nodes connected to it. +For example, when api.rst changes, +Contingent needs to know which assets +are affected by that change, if any, +in order to minimize the work performed +while also ensuring a complete build. +To answer this question — +“what nodes are downstream from api.rst?” — +we need to examine the outgoing edges from api.rst. +But building the dependency graph requires that +Contingent be concerned with a node's inputs as well. +What inputs were used, for example, +when the build system assembled the output document tutorial.html? +It is by watching the input to each node that +Contingent can know that api.html depends on api.rst but +that tutorial.html does not. +As sources change and rebuilds occur, +Contingent rebuilds the incoming edges of each changed node +to remove potentially stale edges +and re-learn which resources a task uses this time around.

+

Our set-of-tuples does not make answering +either of these questions easy. +If we needed to know the relationship between api.html +and the rest of the graph, +we would need to traverse the entire set +looking for edges that start or end at the api.html node.

+

An associative data structure like Python's dict +would make these chores easier +by allowing direct lookup of all the edges from a particular node:

+
+{'tutorial.rst': {('tutorial.rst', 'tutorial.html')},
+ 'tutorial.html': {('tutorial.rst', 'tutorial.html')},
+ 'index.rst': {('index.rst', 'index.html')},
+ 'index.html': {('index.rst', 'index.html')},
+ 'api.rst': {('api.rst', 'api.html')},
+ 'api.html': {('api.rst', 'api.html')}}
+
+

Looking up the edges of a particular node would now be blazingly fast, +at the cost of having to store every edge twice: +once in a set of incoming edges, +and once in a set of outgoing edges. +But the edges in each set would have to be examined manually +to see which are incoming and which are outgoing. +It is also slightly redundant to keep naming the node +over and over again in its set of edges.

+

The solution to both of these objections +is to place incoming and outgoing edges +in their own separate data structures, +which will also absolve us +of having to mention the node over and over again +for every one of the edges in which it is involved.

+
+incoming = {
+    'tutorial.html': {'tutorial.rst'},
+    'index.html': {'index.rst'},
+    'api.html': {'api.rst'},
+    }
+
+outgoing = {
+    'tutorial.rst': {'tutorial.html'},
+    'index.rst': {'index.html'},
+    'api.rst': {'api.html'},
+    }
+
+

Notice that outgoing represents, directly in Python syntax, +exactly what we drew in Figure 1 earlier: +the source documents on the left +will be transformed by the build system into the +output documents on the right. +For this simple example each source points to only one output — +all the output sets have only one element — +but we will see examples shortly where a single input node +has multiple downstream consequences.

+

Every edge in this dictionary-of-sets data structure +does get represented twice, +once as an outgoing edge from one node +(tutorial.rsttutorial.html) +and again as an incoming edge to the other +(tutorial.htmltutorial.rst). +These two representations capture precisely the same relationship, +just from the opposite perspectives of the two nodes +at either end of the edge. +But in return for this redundancy, +the data structure supports the fast lookup that Contingent needs.

+
+
+

The Proper Use of Classes

+

You may have been surprised +by the absence of classes in the above discussion +of Python data structures. +After all, classes are a frequent mechanism for structuring applications +and a hardly less frequent subject of heated debate +among their adherents and detractors. +Classes were once thought important enough that +entire educational curricula were designed around them, +and the majority of popular programming languanges +include dedicated syntax for defining and using them.

+

But it turns out that classes are often orthogonal +to the question of data structure design. +Rather than offering us an entirely alternative data modeling paradigm, +classes simply repeat data structures that we have already seen:

+
    +
  • A class instance is implemented as a dict.
  • +
  • A class instance is used like a mutable tuple.
  • +
+

The class offers key lookup into its attribute dictionary +through a prettier syntax, +where you get to say graph.incoming +instead of graph["incoming"]. +But, in practice, class instances are almost never used +as generic key-value stores. +Instead, they are used to organize related but heterogeneous data +by attribute name, +with implementation details encapsulated behind +a consistent and memorable interface.

+

So instead of putting a hostname and a port number together in a tuple +and having to remember later which came first and which came second, +you create an Address class +whose instances each have a host and a port attribute. +You can then pass Address objects around +where otherwise you would have had anonymous tuples. +Code becomes easier to read and easier to write. +But using a class instance does not really change +any of the questions we faced above when doing data design: +it just provides a prettier and less anonymous container.

+

The true value of classes, then, +is not that they change the science of data design. +The value of classes +is that they let you hide your data design from the rest of a program!

+

Successful application design +hinges upon our ability to exploit +the powerful built-in data structures Python offers us +while minimizing the volume of details we are required to +keep in our heads at any one time. +Classes provide the mechanism for resolving this apparent quandary: +used effectively, a class provides a facade +around some small subset of the system's overall design. +When working within one subset — a Graph, for example — +we can forget the implementation details of other subsets +as long as we can remember their interfaces. +In this way, programmers often find themselves navigating +among several levels of abstraction +in the course of writing a system, +now working with the specific data model and implementation details +for a particular subsystem, +now connecting higher-level concepts through their interfaces.

+

For example, from the outside, +code can simply ask for a new Graph instance:

+
+>>> from contingent import graphlib
+>>> g = graphlib.Graph()
+
+

without needing to understand the details of how Graph works. +Code that is simply using the graph +sees only interface verbs — the method calls — +when manipulating a graph, +as when an edge is added or some other operation performed:

+
+>>> g.add_edge('index.rst', 'index.html')
+>>> g.add_edge('tutorial.rst', 'tutorial.html')
+>>> g.add_edge('api.rst', 'api.html')
+
+

Careful readers will have noticed that we added edges to our graph +without explicitly creating “node” and “edge” objects, +and that the nodes themselves in these early examples +are simply strings. +Coming from other languages and traditions, +one might have expected to see +user-defined classes and interfaces for everything in the system:

+
+Graph g = new ConcreteGraph();
+Node indexRstNode = new StringNode("index.rst");
+Node indexHtmlNode = new StringNode("index.html");
+Edge indexEdge = new DirectedEdge(indexRstNode, indexHtmlNode);
+g.addEdge(indexEdge);
+
+

The Python language and community explicitly and intentionally emphasize +using simple, generic data structures to solve problems, +instead of creating custom classes for every minute detail +of the problem we want to tackle. +This is one facet of the notion of “Pythonic” solutions that you may +have read about. +Pythonic solutions try to +minimize syntactic overhead +and leverage Python's powerful built-in tools +and extensive standard library.

+

With these considerations in mind, +let’s return to the Graph class, +examining its design and implmentation to see +the interplay between data structures and class interfaces. +When a new Graph instance is constructed, +a pair of dictionaries has already been built +to store edges using the logic we outlined in the previous section:

+
+class Graph:
+    """A directed graph of the relationships among build tasks.
+
+
+    def __init__(self):
+        self._inputs_of = defaultdict(set)
+        self._consequences_of = defaultdict(set)
+
+

The leading underscore +in front of the attribute names _inputs_of and _consequences_of +is a common convention in the Python community +to signal that an attribute is private. +This convention is one way the community suggests +that programmers pass messages and warnings +through space and time to each other. +Recognizing the need to signal differences among +public versus internal object attributes, +the community adopted the single leading underscore +as a concise and fairly consistent indicator +to other programmers, +including our future selves, +that the attribute is best treated +as part of the invisible internal machinery of the class.

+

Why are we using a “defaultdict” instead of a standard dict? +A common problem when composing dicts +with other data structures is handling missing keys. +With a normal dict, +retrieving a key that does not exist raises a KeyError:

+
+>>> consequences_of = {}
+>>> consequences_of['index.rst'].add('index.html')
+Traceback (most recent call last):
+     ...
+KeyError: 'index.rst'
+
+

Using a normal dict requires special checks throughout the code +to handle this specific case, for example when adding a new edge:

+
+# Special case to handle “we have not seen this task yet”:
+
+if input_task not in self._consequences_of:
+    self._consequences_of[input_task] = set()
+
+self._consequences_of[input_task].add(consequence_task)
+
+

This need is so common that Python includes a special utility, +the defaultdict, which lets you provide a function +that returns a value for absent keys. +When we ask about an edge that the Graph hasn't yet seen, +we will get back an empty set instead of an exception:

+
+>>> from collections import defaultdict
+>>> consequences_of = defaultdict(set)
+>>> consequences_of['api.rst']
+set()
+
+

Structuring our implementation this way means that +each key’s first use can look identical +to second-and-subsequent-times that a particular key is used:

+
+>>> consequences_of['index.rst'].add('index.html')
+>>> 'index.html' in consequences_of['index.rst']
+True
+
+

Given these techniques, let’s examine the implementation +of add_edge, which we earlier used +to build the graph for Figure 1:

+
+    def add_edge(self, input_task, consequence_task):
+        """Add an edge: `consequence_task` uses the output of `input_task`."""
+        self._consequences_of[input_task].add(consequence_task)
+        self._inputs_of[consequence_task].add(input_task)
+
+

This method hides the fact that two, not one, +storage steps are required for each new edge +so that we know about it in both directions. +And notice how add_edge() does not know or care +whether either node has been seen before. +Because the inputs and consequences data structures +are each a defaultdict(set), +the add_edge() method remains blissfully ignorant +as to the novelty of a node — +the defaultdict takes care of the difference +by creating a new set object on the fly. +As we saw above, add_edge() would be +three times longer had we not used defaultdict. +More importantly, it would be more difficult +to understand and reason about the resulting code. +This implementation demonstrates a Pythonic +approach to problems: simple, direct, and concise.

+

Callers should also be given a simple way to visit every edge +without having to learn how to traverse our data structure:

+
+    def edges(self):
+        """Return all edges as ``(input_task, consequence_task)`` tuples."""
+        return [(a, b) for a in self.sorted(self._consequences_of)
+                       for b in self.sorted(self._consequences_of[a])]
+
+

The Graph.sorted() method, if you want to examine it later, +makes an attempt to sort the nodes +in case they have a natural sort order +(such as alphabetical) +that can provide a stable output order for the user.

+

By using this traversal method we can see that, +following our three “add” method calls earlier, +g now represents the same graph that we saw in Figure 1.

+
+>>> from pprint import pprint
+>>> pprint(g.edges())
+[('api.rst', 'api.html'),
+ ('index.rst', 'index.html'),
+ ('tutorial.rst', 'tutorial.html')]
+
+

Since we now have a real live Python object, +and not just a figure, +we can ask it interesting questions! +For example, when Contingent is building a blog from source files, +it will need to know things like “What depends on api.rst?” when +the content of api.rst changes:

+
+>>> g.immediate_consequences_of('api.rst')
+['api.html']
+
+

This Graph is telling Contingent that, +when api.rst changes, +api.html is now stale and must be rebuilt. +How about index.html?

+
+>>> g.immediate_consequences_of('index.html')
+[]
+
+

An empty list has been returned, +signalling that index.html is at the right edge of the graph +and so nothing further needs to be rebuilt if it changes. +This query can be expressed very simply +thanks to the work that has already gone in to laying out our data:

+
+    def immediate_consequences_of(self, task):
+        """Return the tasks that use `task` as an input."""
+        return self.sorted(self._consequences_of[task])
+
+ +

Figure 1 ignored one of the most important relationships +that we discovered in the opening section of our chapter: +the way that document titles appear in the table of contents. +Let’s fill in this detail. +We will create a node for each title string +that needs to be generated by parsing an input file +and then passed to one of our other routines:

+
+>>> g.add_edge('api.rst', 'api-title')
+>>> g.add_edge('api-title', 'index.html')
+>>> g.add_edge('tutorial.rst', 'tutorial-title')
+>>> g.add_edge('tutorial-title', 'index.html')
+
+

The result is a graph that could properly handle +rebuilding the table of contents that we discussed +in the opening of this chapter.

+ +
+figure2.png +

Figure 2. Being prepared to rebuild index.html +whenever any title that it mentions gets changed.

+
+

This manual walk-through illustrates what we +will eventually have Contingent do for us: +the graph g captures the inputs and consequences +for the various artifacts in our project's documentation.

+ + +
+
+

Learning Connections

+

We now have a way for Contingent +to keep track of tasks and the relationships between them. +If we look more closely at Figure 2, however, +we see that it is actually a little hand wavy and vague: +how is api.html produced from api.rst? +How do we know that index.html needs the title from the tutorial? +And how is this dependency resolved?

+

Our intuitive notion of these ideas +served when we were constructing consequences graphs by hand, +but unfortunately computers are not terribly intuitive, +so we will need to be more precise about what we want.

+

What are the steps required to produce output from sources? +How are these steps defined and executed? +And how can Contingent know the connections between them?

+

In Contingent, build tasks are modeled as functions plus arguments. +The functions define actions that a particular project +understands how to perform. +The arguments provide +the specifics: which source document should be read, +which blog title is needed. +As they are running, +these functions may in turn invoke other task functions, +passing whatever arguments they need answers for.

+

To see how this works, we will actually now implement +the documentation builder described at the beginning of the chapter. +In order to prevent ourselves from wallowing around in a bog of details, +for this illustration we will work with +simplified input and output document formats. +Our input documents will consist of a title on the first line, +with the remainder of the text forming the body. +Cross references will simply be source file names +enclosed in back ticks, +which on output are replaced with the title +from the corresponding document in the output.

+

Here is the content of our example +index.txt, api.txt, and tutorial.txt, +illustrating titles, document bodies, and cross-references +from our little document format:

+
+>>> index = """
+... Table of Contents
+... -----------------
+... * `tutorial.txt`
+... * `api.txt`
+... """
+
+
+>>> tutorial = """
+... Beginners Tutorial
+... ------------------
+... Welcome to the tutorial!
+... We hope you enjoy it.
+... """
+
+
+>>> api = """
+... API Reference
+... -------------
+... You might want to read
+... the `tutorial.txt` first.
+... """
+
+ +

Now that we have some source material to work with, +what functions would a Contingent-based blog builder +need?

+

In the simplistic examples above, +the HTML output files proceed directly from the source, +but in a realistic system, +turning source into markup involves several steps: +reading the raw text from disk, +parsing the text to a convenient internal representation, +processing any directives the author may have specified, +resolving cross-references or other external dependencies +(such as include files), +and applying one or more view transformations +to convert the internal representation to its output form.

+

Contingent manages tasks by grouping them into a Project, +a sort of build system busybody +that injects itself into the middle of the build process, +noting every time one task talks to another +to construct a graph of the relationships between all the tasks.

+
+>>> from contingent.projectlib import Project, Task
+>>> project = Project()
+>>> task = project.task
+
+

A build system for the example given at the beginning of the chapter +might involve a few basic tasks.

+
    +
  • Our read() task will pretend to read the files from disk. +Since we really defined the source text in variables, +all it needs to do is convert from a filename +to the corresponding text.

    +
    +
    +>>> filesystem = {'index.txt': index,
    +...               'tutorial.txt': tutorial,
    +...               'api.txt': api}
    +...
    +>>> @task
    +... def read(filename):
    +...     return filesystem[filename]
    +
    +
    +
  • +
  • The parse() task interprets the raw text of the file contents +according to the specification of our document format. +Our format is very simple: +the title of the document appears on the first line, +and the rest of the content is considered the document's body.

    +
    +
    +>>> @task
    +... def parse(filename):
    +...     lines = read(filename).strip().splitlines()
    +...     title = lines[0]
    +...     body = '\n'.join(lines[2:])
    +...     return title, body
    +
    +
    +

    Because the format is so simple, +the parser is a little silly, admittedly, +but it illustrates the interpretive responsibilities +that parsers are required to carry out. +Parsing in general is a very interesting subject +and many books have been written +either partially or completely dedicated to it. +In a system like Sphinx, +the parser must understand the many markup tokens, +directives, and commands defined by the system, +transforming the input text into something +the rest of the system can work with.

    +

    Notice the connection point between +parse() and read() — +the first task in parsing is to pass the filename it has been given +to read(), which finds and returns the contents of that file.

    +
  • +
  • The title_of() task, given a source file name, +returns the document's title:

    +
    +
    +>>> @task
    +... def title_of(filename):
    +...     title, body = parse(filename)
    +...     return title
    +
    +
    + + +

    This task nicely illustrates the +separation of responsibilities between +the parts of a document processing system. +The title_of() function works directly +from an in-memory representation of a document — +in this case, a tuple — +instead of taking it upon itself to re-parse +the entire document again just to find the title. +The parse() function alone produces the in-memory representation, +in accordance with the contract of the system specification, +and the rest of the blog builder processing functions +like title_of() simply use its output as their authority.

    +

    If you are coming from an orthodox object-oriented tradition, +this function-oriented design may look a little weird. +In an OO solution, +parse() would return some sort of Document object +that has title_of() as a method or property. +In fact, Sphinx works exactly this way: +its Parser subsystem produces a “Docutils document tree” object +for the other parts of the system to use.

    +

    Contingent is not opinionated +with regard to these differing design paradigms +and supports either approach equally well. +For this chapter we are keeping things simple.

    +
  • +
  • The final task, +render(), +turns the in-memory representation of a document +into an output form. +It is, in effect, the inverse of parse(). +Whereas parse() takes an input document +conforming to a specification +and converts it to an in-memory representation, +render() takes an in-memory representation +and produces an output document +conforming to some specification.

    +
    +
    +>>> import re
    +>>>
    +>>> LINK = '<a href="{}">{}</a>'
    +>>> PAGE = '<h1>{}</h1>\n<p>\n{}\n<p>'
    +>>>
    +>>> def make_link(match):
    +...     filename = match.group(1)
    +...     return LINK.format(filename, title_of(filename))
    +...
    +>>> @task
    +... def render(filename):
    +...     title, body = parse(filename)
    +...     body = re.sub(r'`([^`]+)`', make_link, body)
    +...     return PAGE.format(title, body)
    +
    +
    +
  • +
+

Here is an example run +that will invoke every stage of the above logic — +rendering tutorial.txt to produce its output:

+
+>>> print(render('tutorial.txt'))
+<h1>Beginners Tutorial</h1>
+<p>
+Welcome to the tutorial!
+We hope you enjoy it.
+<p>
+
+

Figure 3 illustrates the task graph +that transitively connects all the tasks +required to produce the output, +from reading the input file, +parsing and transforming the document, +and rendering the result:

+ +figure3.png +

It turns out that Figure 3 was not hand-drawn for this chapter, +but has been generated directly from Contingent! +Building this graph is possible for the Project object +because it maintains its own call stack, +similar to the stack of live execution frames +that Python maintains to remember which function to continue running +when the current one returns.

+

Every time that a new task is invoked, +Contingent can assume that it has been called — +and that its output will be used — +by the task currently at the top of the stack. +Maintaining the stack will require that several extra steps +surround the invocation of a task T:

+
    +
  1. Push T onto the stack.
  2. +
  3. Execute T, letting it call any other tasks it needs.
  4. +
  5. Pop T off the stack.
  6. +
  7. Return its result.
  8. +
+

To intercept task calls, +the Project leverages a key Python feature: function decorators. +A decorator is allowed to process or transform a function +at the moment that it is being defined. +The Project.task decorator uses this opportunity +to package every task inside another function, a wrapper, +which allows a clean separation of responsibilities +between the wrapper — +which will worry about graph and stack management +on behalf of the Project — +and our task functions that focus on document processing. +Here is what the task decorator boilerplate looks like:

+
+from functools import wraps
+
+def task(function):
+    @wraps(function)
+    def wrapper(*args):
+        # wrapper body, that will call function()
+    return wrapper
+
+

This is an entirely typical Python decorator declaration. +It can then be applied to a function +by naming it after a @ character atop the def +that creates the function:

+
+@task
+def title_of(filename):
+    title, body = parse(filename)
+    return title
+
+

When this definition is complete, +the name title_of will refer +to the wrapped version of the function. +The wrapper can access the original version of the function +via the name function, +calling it at the appropriate time. +The body of the Contingent wrapper +runs something like this:

+
+def task(function):
+    @wraps(function)
+    def wrapper(*args):
+        task = Task(wrapper, args)
+
+        if self.task_stack:
+            self._graph.add_edge(task, self.task_stack[-1])
+
+        self._graph.clear_inputs_of(task)
+        self._task_stack.append(task)
+        try:
+            value = function(*args)
+        finally:
+            self._task_stack.pop()
+
+        return value
+    return wrapper
+
+

This wrapper performs several crucial maintenance steps:

+
    +
  1. Packages the task — +a function plus its arguments — +into a small object for convenience. +The wrapper here names the wrapped version of the task function.
  2. +
  3. If this task has been invoked +by a current task that is already underway, +add an edge capturing the fact that +this task is an input to the already-running task.
  4. +
  5. Forget whatever we might have learned last time about the task, +since it might make new decisions this time — +if the source text of the API guide no longer mentions the Tutorial, +for example, then its render() will no longer ask +for the title_of() the Tutorial document.
  6. +
  7. Push this task onto the top of the task stack +in case it decides, in its turn, to invoke further tasks +in the course of doing its work.
  8. +
  9. Invoke the task +inside of a try...finally block +that ensures we correctly remove the finished task from the stack +even if it dies by raising an exception.
  10. +
  11. Return the task’s return value, +so that callers of this wrapper +will not be able to tell that they have not simply invoked +the plain task function itself.
  12. +
+

Steps 4 and 5 maintain the task stack itself, +which is then used by step 2 to perform the consequences tracking +that is our whole reason for building a task stack in the first place.

+

Since each task gets surrounded by its own copy of the wrapper function, +the mere invocation and execution of the normal stack of tasks +will produce a graph of relationships as an invisible side effect. +That is why we were careful to use the wrapper +around every one of the processing steps we defined:

+
+@task
+def read(filename):
+    # body of read
+
+@task
+def parse(filename):
+    # body of parse
+
+@task
+def title_of(filename):
+    # body of title_of
+
+@task
+def render(filename):
+    # body of render
+
+

Thanks to these wrappers, +when we called parse('tutorial.txt') +the decorator learned +the connection between parse and read. +We can ask about the relationship by building another Task tuple +and asking what the consequences would be +if its output value changed:

+
+>>> task = Task(read, ('tutorial.txt',))
+>>> print(task)
+read('tutorial.txt')
+>>> project._graph.immediate_consequences_of(task)
+[parse('tutorial.txt')]
+
+

The consequence of re-reading the tutorial.txt file +and finding its contents have changed +is that we need to re-execute the parse() routine for that document. +What happens if we render the entire set of documents? +Will Contingent be able to learn the entire build process +with its interrelationships?

+
+>>> for filename in 'index.txt', 'tutorial.txt', 'api.txt':
+...     print(render(filename))
+...     print('=' * 30)
+...
+<h1>Table of Contents</h1>
+<p>
+* <a href="tutorial.txt">Beginners Tutorial</a>
+* <a href="api.txt">API Reference</a>
+<p>
+==============================
+<h1>Beginners Tutorial</h1>
+<p>
+Welcome to the tutorial!
+We hope you enjoy it.
+<p>
+==============================
+<h1>API Reference</h1>
+<p>
+You might want to read
+the <a href="tutorial.txt">Beginners Tutorial</a> first.
+<p>
+==============================
+
+

It worked! +From the output, we can see that +our transform substited the docuent titles +for the directives in our source docuents, +indicating that Contingent was able to +discover the connections between the various tasks +needed to build our documents.

+ +
+figure4.png +

Figure 4. The complete set of relationships +between our input files and our HTML outputs.

+
+

By watching one task invoke another +through the task wrapper machinery, +Project has automatically learned +the graph of inputs and consequences. +Since it has a complete consequences graph +at its disposal, +Contingent knows all the things to rebuild +if the inputs to any tasks change.

+
+
+

Chasing Consequences

+

Once the initial build has run to completion, +Contingent needs to monitor the input files for changes. +When the user finishes a new edit and runs “Save,” +both the read() method and its consequences need to be invoked.

+

This will require us to walk the graph in the opposite order +from the one in which it was created. +It was built, you will recall, by calling +render() for the API Reference and having that call parse() +which finally invoked the read() task. +Now we go in the other direction: +we know that read() will now return new content, +and we need to figure out what consequences lie downstream.

+

The process of compiling consequences is a recursive one, +as each consequence can itself have further tasks that depended on it. +We could perform this recursion manually +through repeated calls to the graph +(note that we are here taking advantage +of the fact that the Python prompt saves the last value displayed +under the name _ for use in the subsequent expression):

+
+>>> task = Task(read, ('api.txt',))
+>>> project._graph.immediate_consequences_of(task)
+[parse('api.txt')]
+>>> t1, = _
+>>> project._graph.immediate_consequences_of(t1)
+[render('api.txt'), title_of('api.txt')]
+>>> t2, t3 = _
+>>> project._graph.immediate_consequences_of(t2)
+[]
+>>> project._graph.immediate_consequences_of(t3)
+[render('index.txt')]
+>>> t4, = _
+>>> project._graph.immediate_consequences_of(t4)
+[]
+
+

This recursive task of looking repeatedly for immediate consequences +and only stopping when we arrive at tasks with no further consequences +is a basic enough graph operation that it is supported directly +by a method on the Graph class:

+ +
+>>> pprint(project._graph.recursive_consequences_of([task]))
+[parse('api.txt'),
+ render('api.txt'),
+ title_of('api.txt'),
+ render('index.txt')]
+
+

In fact, recursive_consequences_of() tries to be a bit clever. +If a particular task appears repeatedly as a downstream consequence +of several other tasks, +then it is careful to only mention it once in the output list, +and to move it close to the end +so that it appears only after the tasks that are its inputs. +This intelligence is powered by the classic depth-first implementation +of a topological sort, +an algorithm which winds up being fairly easy to write in Python +through a hidden a recursive helper function. +Check out the graphlib.py source code for the details.

+

If upon detecting a change +we are careful to re-run every task in the recursive consequences, +then Contingent will be able to avoid rebuilding too little. +Our second challenge, however, +was to avoid rebuilding too much. +Refer again to Figure 4. +We want to avoid rebuilding all three documents +every time that tutorial.txt is changed, +since most edits will probably not affect its title but only its body. +How can this be accomplished?

+

The solution is to make graph recomputation dependent on caching. +When stepping forward through the recursive consequences of a change, +we will only invoke tasks whose inputs are different than last time.

+

This optimization will involve a final data structure. +We will give the Project a _todo set +with which to remember every task +for which at least one input value has changed, +and that therefore requires re-execution. +Because only tasks in _todo are out-of-date, +the build process can skip running any other tasks +unless they appear there.

+

Again, Python’s convenient and unified design +makes these features very easy to code. +Because task objects are hashable, +_todo can simply be a set +that remembers task items by identity — +guaranteeing that a task never appears twice — +and the _cache of return values from previous runs +can be a dict with tasks as keys.

+

More precisely, the rebuild step must keep looping +as long as _todo is non-empty. +During each loop, it should:

+
    +
  • Call recursive_consequences_of() +and pass in every task listed in _todo. +The return value will be a list +of not only the _todo tasks themselves, +but also every task downstream of them — +every task, in other words, that could possibly need re-execution +if the outputs come out different this time.
  • +
  • For each task in the list, +check whether it is listed in _todo. +If not, then we can skip running it, +because none of the tasks that we have re-invoked upstream of it +has produced a new return value +that would require the task’s recomputation.
  • +
  • But for any task that is indeed listed in _todo +by the time we reach it, +we need to ask it to re-run and re-compute its return value. +If the task wrapper function detects that this return value +does not match the old cached value, +then its downstream tasks will be automatically added to _todo +before we reach them in the list of recursive consequences.
  • +
+

By the time we reach the end of the list, +every task that could possibly need to be re-run +should in fact have been re-run. +But just in case, we will check _todo +and try again if it is not yet empty. +Even for very rapidly changing dependency trees, +this should quickly settle out. +Only a cycle — +where, for example, task A needs the output of task B +which itself needs the output of task A — +could keep the builder in an infinite loop, +and only if their return values never stabilize. +Fortunately, real-world build tasks are typically without cycles.

+

Let us trace the behavior of this system through an example.

+

Suppose you edit tutorial.txt +and change both the title and the body content. +We can simulate this by modifying the value +in our filesystem dict:

+
+>>> filesystem['tutorial.txt'] = """
+... The Coder Tutorial
+... ------------------
+... This is a new and improved
+... introductory paragraph.
+... """
+
+

Now that the contents have changed, +we can ask the Project to re-run the read() task +by using its cache_off() context manager +that temporarily disables its willingness +to return its old cached result for a given task and argument:

+
+>>> with project.cache_off():
+...     text = read('tutorial.txt')
+
+

The new tutorial text has now been read into the cache. +How many downstream tasks will need to be re-executed?

+

To help us answer this question, +the Project class supports a simple tracing facility +that will tell us which tasks are executed in the course +of a rebuild. +Since the above change to tutorial.txt +affects both its body and its title, +everything downstream will need to be re-computed:

+
+>>> project.start_tracing()
+>>> project.rebuild()
+>>> print(project.stop_tracing())
+calling parse('tutorial.txt')
+calling render('tutorial.txt')
+calling title_of('tutorial.txt')
+calling render('api.txt')
+calling render('index.txt')
+
+

Looking back at Figure 4, +you can see that, as expected, +this is every task that is an immediate or downstream consequence +of read('tutorial.txt').

+

But what if we edit it again, +but this time leave the title the same?

+
+>>> filesystem['tutorial.txt'] = """
+... The Coder Tutorial
+... ------------------
+... Welcome to the coder tutorial!
+... It should be read top to bottom.
+... """
+>>> with project.cache_off():
+...     text = read('tutorial.txt')
+
+

This small, limited change +should have no effect on the other documents.

+
+>>> project.start_tracing()
+>>> project.rebuild()
+>>> print(project.stop_tracing())
+calling parse('tutorial.txt')
+calling render('tutorial.txt')
+calling title_of('tutorial.txt')
+
+

Success! +Only one document got rebuilt. +The fact that title_of(), given a new input document, +nevertheless returned the same value means that all further +downstream tasks were insulated from the change +and did not get re-invoked.

+
+
+

Conclusion

+

There exist languages and programming methodologies +under which Contingent would be a suffocating forest of tiny classes +giving useless and verbose names to every concept in the problem domain.

+

When programming Contingent in Python, however, +we skipped the creation of a dozen classes that could have existed, +like TaskArgument and CachedResult and ConsequenceList. +We instead drew upon Python’s strong tradition +of solving generic problems with generic data structures, +resulting in code that repeatedly uses a small set of ideas +from the core data structures tuple, list, set, and dict.

+

But does this not cause a problem?

+

Generic data structures are also, by their nature, anonymous. +Our project._cache is a set. +So is every collection of upstream and downstream nodes +inside the Graph. +Are we in danger of seeing generic set error messages +and not knowing whether to look in the project or the graph +implementation for the error?

+

In fact, we are not in danger!

+

Thanks to the careful discipline of encapsulation — +of only allowing Graph code to touch the graph’s sets, +and Project code to touch the project’s set — +there will never be ambiguity if a set operation +returns an error during a later phase of the project. +The name of the innermost executing method at the moment of the error +will necessarily direct us to exactly the class, and set, +involved in the mistake. +There is no need to create a subclass of set +for every possible application of the data type, +so long as we put that conventional underscore in front of data +structure attributes and then are careful not to touch them +from code outside of the class.

+

Contingent demonstrates how crucial the Facade pattern, +from the epochal Design Patterns book, +is for a well-designed Python program. +Not every data structure and fragment of data in a Python program +gets to be its own class. +Instead, classes are used sparingly, +at conceptual pivots in the code where a big idea — +like the idea of a dependency graph — +can be wrapped up into a Facade +that hides the details of the simple generic data structures +that lie beneath it.

+

Code outside of the Facade +names the big concepts that it needs +and the operations that it wants to perform. +Inside of the Facade, +the programmer manipulates the small and convenient moving parts +of the Python programming language to make the operations happen.

+ +
+
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