This codewalk describes a program that generates random text using
a Markov chain algorithm. The package comment describes the algorithm
and the operation of the program. Please read it before continuing.
A chain consists of a prefix and a suffix. Each prefix is a set
number of words, while a suffix is a single word.
A prefix can have an arbitrary number of suffixes.
To model this data, we use a map[string][]string.
Each map key is a prefix (a string) and its values are
lists of suffixes (a slice of strings, []string).
Here is the example table from the package comment
as modeled by this data structure:
map[string][]string{
" ": {"I"},
" I": {"am"},
"I am": {"a", "not"},
"a free": {"man!"},
"am a": {"free"},
"am not": {"a"},
"a number!": {"I"},
"number! I": {"am"},
"not a": {"number!"},
}
While each prefix consists of multiple words, we
store prefixes in the map as a single string.
It would seem more natural to store the prefix as a
[]string, but we can't do this with a map because the
key type of a map must implement equality (and slices do not).
Therefore, in most of our code we will model prefixes as a
[]string and join the strings together with a space
to generate the map key:
Prefix Map key
[]string{"", ""} " "
[]string{"", "I"} " I"
[]string{"I", "am"} "I am"
The complete state of the chain table consists of the table itself and
the word length of the prefixes. The Chain struct stores
this data.
The Chain struct has two unexported fields (those that
do not begin with an upper case character), and so we write a
NewChain constructor function that initializes the
chain map with make and sets the
prefixLen field.
This is constructor function is not strictly necessary as this entire
program is within a single package (main) and therefore
there is little practical difference between exported and unexported
fields. We could just as easily write out the contents of this function
when we want to construct a new Chain.
But using these unexported fields is good practice; it clearly denotes
that only methods of Chain and its constructor function should access
those fields. Also, structuring Chain like this means we
could easily move it into its own package at some later date.
Since we'll be working with prefixes often, we define a
Prefix type with the concrete type []string.
Defining a named type clearly allows us to be explicit when we are
working with a prefix instead of just a []string.
Also, in Go we can define methods on any named type (not just structs),
so we can add methods that operate on Prefix if we need to.
The first method we define on Prefix is
String. It returns a string representation
of a Prefix by joining the slice elements together with
spaces. We will use this method to generate keys when working with
the chain map.
The Build method reads text from an io.Reader
and parses it into prefixes and suffixes that are stored in the
Chain.
The io.Reader is an
interface type that is widely used by the standard library and
other Go code. Our code uses the
fmt.Fscan function, which
reads space-separated values from an io.Reader.
The Build method returns once the Reader's
Read method returns os.EOF (end of file)
or some other read error occurs.
This function does many small reads, which can be inefficient for some
Readers. For efficiency we wrap the provided
io.Reader with
bufio.NewReader to create a
new io.Reader that provides buffering.
At the top of the function we make a Prefix slice
p using the Chain's prefixLen
field as its length.
We'll use this variable to hold the current prefix and mutate it with
each new word we encounter.
In our loop we read words from the Reader into a
string variable s using
fmt.Fscan. Since Fscan uses space to
separate each input value, each call will yield just one word
(including punctuation), which is exactly what we need.
Fscan returns an error if it encounters a read error
(os.EOF, for example) or if it can't scan the requested
value (in our case, a single string). In either case we just want to
stop scanning, so we break out of the loop.
The word stored in s is a new suffix. We add the new
prefix/suffix combination to the chain map by computing
the map key with p.String and appending the suffix
to the slice stored under that key.
The built-in append function appends elements to a slice
and allocates new storage when necessary. When the provided slice is
nil, append allocates a new slice.
This behavior conveniently ties in with the semantics of our map:
retrieving an unset key returns the zero value of the value type and
the zero value of []string is nil.
When our program encounters a new prefix (yielding a nil
value in the map) append will allocate a new slice.
For more information about the append function and slices
in general see the
Slices: usage and internals article.
Before reading the next word our algorithm requires us to drop the
first word from the prefix and push the current suffix onto the prefix.
When in this state
p == Prefix{"I", "am"}
s == "not"
the new value for p would be
p == Prefix{"am", "not"}
This operation is also required during text generation so we put
the code to perform this mutation of the slice inside a method on
Prefix named Shift.
The Shift method uses the built-in copy
function to copy the last len(p)-1 elements of p to
the start of the slice, effectively moving the elements
one index to the left (if you consider zero as the leftmost index).
p := Prefix{"I", "am"}
copy(p, p[:1])
// p == Prefix{"am", "am"}
We then assign the provided word to the last index
of the slice:
// suffix == "not"
p[len(p)-1] = suffix
// p == Prefix{"am", "not"}
The Generate method is similar to Build
except that instead of reading words from a Reader
and storing them in a map, it reads words from the map and
appends them to a slice (words).
Generate uses a conditional for loop to generate
up to n words.
At each iteration of the loop we retrieve a list of potential suffixes
for the current prefix. We access the chain map at key
p.String() and assign its contents to choices.
If len(choices) is zero we break out of the loop as there
are no potential suffixes for that prefix.
This test also works if the key isn't present in the map at all:
in that case, choices will be nil and the
length of a nil slice is zero.
To choose a suffix we use the
rand.Intn function.
It returns a random integer up to (but not including) the provided
value. Passing in len(choices) gives us a random index
into the full length of the list.
We use that index to pick our new suffix, assign it to
next and append it to the words slice.
Next, we Shift the new suffix onto the prefix just as
we did in the Build method.
Before returning the generated text as a string, we use the
strings.Join function to join the elements of
the words slice together, separated by spaces.
To make it easy to tweak the prefix and generated text lengths we
use the flag package to parse
command-line flags.
These calls to flag.Int register new flags with the
flag package. The arguments to Int are the
flag name, its default value, and a description. The Int
function returns a pointer to an integer that will contain the
user-supplied value (or the default value if the flag was omitted on
the command-line).
The main function begins by parsing the command-line
flags with flag.Parse and seeding the rand
package's random number generator with the current time.
If the command-line flags provided by the user are invalid the
flag.Parse function will print an informative usage
message and terminate the program.
To create the new Chain we call NewChain
with the value of the prefix flag.
To build the chain we call Build with
os.Stdin (which implements io.Reader) so
that it will read its input from standard input.
Finally, to generate text we call Generate with
the value of the words flag and assigning the result
to the variable text.
Then we call fmt.Println to write the text to standard
output, followed by a carriage return.
To use this program, first compile and link it.
If you are using 6g as your compiler, the command
would look something like this:
$ 6g markov.go && 6l -o markov markov.6
And then execute it while piping in some input text:
$ echo "a man a plan a canal panama" | ./markov -prefix=1
a plan a man a plan a canal panama
Here's a transcript of generating some text using the Go distribution's
README file as source material:
$ ./markov -words=10 < $GOROOT/go/README
This is the source code repository for the Go source
$ ./markov -prefix=1 -words=10 < $GOROOT/go/README
This is the go directory (the one containing this README).
$ ./markov -prefix=1 -words=10 < $GOROOT/go/README
This is the variable if you have just untarred a
The Generate function does a lot of allocations when it
builds the words slice. As an exercise, modify it to
take an io.Writer to which it incrementally writes the
generated text with Fprint.
Aside from being more efficient this makes Generate
more symmetrical to Build.