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Wrote up pill 5.

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Matan Bendix Shenhav 2017-08-13 13:16:21 +03:00
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version="5.0" version="5.0"
xml:id="functions-and-imports"> xml:id="functions-and-imports">
<title>functions and imports</title> <title>functions and imports</title>
<section>
<para>
Welcome to the fifth Nix pill. In the previous <link
linkend="basics-of-the-language">fourth pill</link> we touched the Nix language for a moment. We introduced basic types and values of the Nix language, and basic expressions such as <literal>if</literal>, <literal>with</literal> and <literal>let</literal>. I invite you to re-read about these expressions and play with them in the repl.
</para>
<para>
Functions help to build reusable components in a big repository like <link xlink:href="https://github.com/NixOS/nixpkgs/">nixpkgs</link>. The Nix manual has a <link xlink:href="https://nixos.org/nix/manual/#ss-functions">great explanation of functions</link>. Let's go: pill on one hand, Nix manual on the other hand.
</para>
<para>
I remind you how to enter the Nix environment: <literal>source ~/.nix-profile/etc/profile.d/nix.sh</literal>
</para>
</section>
<section>
<title>Nameless and single parameter</title>
<para>
Functions are anonymous (lambdas), and only have a single parameter. The syntax is extremely simple. Type the parameter name, then "<literal>:</literal>", then the body of the function.
</para>
<screen><xi:include href="./05/anon-function.txt" parse="text" /></screen>
<para>
So here we defined a function that takes a parameter <literal>x</literal>, and returns <literal>x*2</literal>. The problem is that we cannot use it in any way, because it's unnamed... joke!
</para>
<para>
We can store functions in variables.
</para>
<screen><xi:include href="./05/named-function.txt" parse="text" /></screen>
<para>
As usual, please ignore the special syntax for assignments inside nix-repl. So, we defined a function <literal>x: x*2</literal> that takes one parameter <literal>x</literal>, and returns <literal>x*2</literal>. This function is then assigned to the variable <literal>double</literal>. Finally we did our first function call: <literal>double 3</literal>.
</para>
<para>
<emphasis role="underline">Big note:</emphasis> it's not like many other programming languages where you write <literal>double(3)</literal>. It really is <literal>double 3</literal>.
</para>
<para>
In summary: to call a function, name the variable, then space, then the argument. Nothing else to say, it's as easy as that.
</para>
</section>
<section>
<title>More than one parameter</title>
<para>
How do we create a function that accepts more than one parameter? For people not used to functional programming, this may take a while to grasp. Let's do it step by step.
</para>
<screen><xi:include href="./05/multi-argument-function.txt" parse="text" /></screen>
<para>
We defined a function that takes the parameter <literal>a</literal>, the body returns another function. This other function takes a parameter <literal>b<literal> and returns <literal>a*b</literal>. Therefore, calling <literal>mul 3</literal> returns this kind of function: <literal>b: 3*b</literal>. In turn, we call the returned function with <literal>4</literal>, and get the expected result.
</para>
<para>
You don't have to use parenthesis at all, Nix has sane priorities when parsing the code:
</para>
<screen><xi:include href="./05/no-parenthesis.txt" parse="text" /></screen>
<para>
Much more readable, you don't even notice that functions only receive one argument. Since the argument is separated by a space, to pass more complex expressions you need parenthesis. In other common languages you would write <literal>mul(6+7, 8+9)</literal>.
</para>
<para>
Given that functions have only one parameter, it is straightforward to use <emphasis role="strong">partial application</emphasis>:
</para>
<screen><xi:include href="./05/partial-application.txt" parse="text" /></screen>
<para>
We stored the function returned by <literal>mul 3</literal> into a variable foo, then reused it.
</para>
</section>
<section>
<title>Arguments set</title>
<para>
Now this is a very cool feature of Nix. It is possible to pattern match over a set in the parameter. We write an alternative version of <literal>mul = a: b: a*b</literal> first by using a set as argument, then using pattern matching.
</para>
<screen><xi:include href="./05/set-argument.txt" parse="text" /></screen>
<para>
In the first case we defined a function that accepts a single parameter. We then access attributes <literal>a</literal> and <literal>b</literal> from the given set. Note how the parenthesis-less syntax for function calls is very elegant in this case, instead of doing <literal>mul({ a=3; b=4; })</literal> in other languages.
</para>
<para>
In the second case we defined an arguments set. It's like defining a set, except without values. We require that the passed set contains the keys <literal>a</literal> and <literal>b</literal>. Then we can use those <literal>a</literal> and <literal>b</literal> in the function body directly.
</para>
<screen><xi:include href="./05/argument-set-error.txt" parse="text" /></screen>
<para>
Only a set with exactly the attributes required by the function is accepted, nothing more, nothing less.
</para>
</section>
<section>
<title>Default and variadic attributes</title>
<para>
It is possible to specify <emphasis role="strong">default values</emphasis> of attributes in the arguments set:
</para>
<screen><xi:include href="./05/default-values.txt" parse="text" /></screen>
<para>
Also you can allow passing more attributes (<emphasis role="strong">variadic</emphasis>) than the expected ones:
</para>
<screen><xi:include href="./05/veradic-arguments.txt" parse="text" /></screen>
<para>
However, in the function body you cannot access the "c" attribute. The solution is to give a name to the given set with the <emphasis role="strong">@-pattern</emphasis>:
</para>
<screen><xi:include href="./05/named-set-argument.txt" parse="text" /></screen>
<para>
That's it, you give a name to the whole parameter with name@ before the set pattern.
</para>
<para>
Advantages of using argument sets:
</para>
<itemizedlist mark='bullet'>
<listitem>
<para>
Named unordered arguments: you don't have to remember the order of the arguments.
</para>
</listitem>
<listitem>
<para>
You can pass sets, that adds a whole new layer of flexibility and convenience.
</para>
</listitem>
</itemizedlist>
<para>
Disadvantages:
</para>
<itemizedlist mark='bullet'>
<listitem>
<para>
Partial application does not work with argument sets. You have to specify the whole attribute set, not part of it.
</para>
</listitem>
</itemizedlist>
<para>
You may find similarities with <link xlink:href="https://docs.python.org/2/faq/programming.html#how-can-i-pass-optional-or-keyword-parameters-from-one-function-to-another">Python **kwargs</link>.
</para>
</section>
<section>
<title>Imports</title>
<para>
The <literal>import</literal> function is built-in and provides a way to parse a <filename>.nix</filename> file. The natural approach is to define each component in a <filename>.nix</filename> file, then compose by importing these files.
</para>
<para>
Let's start with the bare metal.
</para>
<para>
<filename>a.nix</filename>:
</para>
<screen><xi:include href="./05/a-nix.txt" parse="text" /></screen>
<para>
<filename>b.nix</filename>:
</para>
<screen><xi:include href="./05/b-nix.txt" parse="text" /></screen>
<para>
<filename>mul.nix</filename>:
</para>
<screen><xi:include href="./05/mul-nix.txt" parse="text" /></screen>
<screen><xi:include href="./05/import.txt" parse="text" /></screen>
<para>
Yes it's really that straight. You import a file, and it gets parsed as expression. Note that the scope of the imported file does not inherit the scope of the importer.
</para>
<para>
<filename>test.nix</filename>:
</para>
<screen><xi:include href="./05/test-nix.txt" parse="text" /></screen>
<screen><xi:include href="./05/test-import.txt" parse="text" /></screen>
<para>
So how do we pass information to the module? Use functions, like we did with <filename>mul.nix</filename>. A more complex example:
</para>
<para>
<filename>test.nix</filename>:
</para>
<screen><xi:include href="./05/test-nix-2.txt" parse="text" /></screen>
<para>
Explaining:
</para>
<itemizedlist mark='bullet'>
<listitem>
<para>
In <filename>test.nix</filename> we return a function. It accepts a set, with default attributes <literal>b</literal>, <literal>trueMsg</literal> and <literal>falseMsg</literal>.
</para>
</listitem>
<listitem>
<para>
<literal>builtins.trace</literal> is a <link xlink:href="https://nixos.org/nix/manual/#ssec-builtins">built-in function</link> that takes two arguments. The first is the message to display, the second is the value to return. It's usually used for debugging purposes.
</para>
</listitem>
<listitem>
<para>
Then we import <filename>test.nix</filename>, and call the function with that set.
</para>
</listitem>
</itemizedlist>
<para>
So when is the message shown? Only when it's in need to be evaluated.
</para>
</section>
<section>
<title>Next pill</title>
<para>
...we will finally write our first derivation.
</para>
</section>
</chapter> </chapter>

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pills/05/a-nix.txt Normal file
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3

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nix-repl> x: x*2
«lambda»

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nix-repl> mul { a = 3; b = 4; c = 6; }
error: anonymous function at (string):1:2 called with unexpected argument `c', at (string):1:1
nix-repl> mul { a = 3; }
error: anonymous function at (string):1:2 called without required argument `b', at (string):1:1

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pills/05/b-nix.txt Normal file
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4

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nix-repl> mul = { a, b ? 2 }: a*b
nix-repl> mul { a = 3; }
6
nix-repl> mul { a = 3; b = 4; }
12

5
pills/05/import.txt Normal file
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nix-repl> a = import ./a.nix
nix-repl> b = import ./b.nix
nix-repl> mul = import ./mul.nix
nix-repl> mul a b
12

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pills/05/mul-nix.txt Normal file
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a: b: a*b

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nix-repl> mul = a: (b: a*b)
nix-repl> mul
«lambda»
nix-repl> mul 3
«lambda»
nix-repl> (mul 3) 4
12

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nix-repl> double = x: x*2
nix-repl> double
«lambda»
nix-repl> double 3
6

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nix-repl> mul = s@{ a, b, ... }: a*b*s.c
nix-repl> mul { a = 3; b = 4; c = 2; }
24

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nix-repl> mul = a: b: a*b
nix-repl> mul
«lambda»
nix-repl> mul 3
«lambda»
nix-repl> mul 3 4
12
nix-repl> mul (6+7) (8+9)
221

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nix-repl> foo = mul 3
nix-repl> foo 4
12
nix-repl> foo 5
15

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nix-repl> mul = s: s.a*s.b
nix-repl> mul { a = 3; b = 4; }
12
nix-repl> mul = { a, b }: a*b
nix-repl> mul { a = 3; b = 4; }
12

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nix-repl> let x = 5; in import ./test.nix
error: undefined variable `x' at /home/lethal/test.nix:1:1

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{ a, b ? 3, trueMsg ? "yes", falseMsg ? "no" }:
if a > b
then builtins.trace trueMsg true
else builtins.trace falseMsg false
nix-repl> import ./test.nix { a = 5; trueMsg = "ok"; }
trace: ok
true

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x

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nix-repl> mul = { a, b, ... }: a*b
nix-repl> mul { a = 3; b = 4; c = 2; }