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<div id="app" data-page="{"component":"web/courses/lessons/theory_unit","props":{"errors":{},"locale":"en","language":"en","httpsHost":"https://hexlet.io","host":"hexlet.io","colorScheme":"light","auth":{"user":{"id":null,"last_viewed_notification_id":null,"email":null,"state":null,"first_name":"","last_name":"","current_program":null,"current_team":null,"full_name":"","guest":true,"can_use_paid_features":false,"is_hexlet_employee":false,"sanitized_phone_number":"","can_subscribe":true,"can_renew_education":false}},"cloudflareTurnstileSiteKey":"0x4AAAAAAA15KmeFXzd2H0Xo","vkIdClientId":"51586979","yandexIdClientId":null,"formAuthToken":"CsfvlSZePP_AZKmzS8fny01TmMo6mW2IrBPKeOPasLFZAYKjBzUHH6duVlv5WdAKQfkWkfaHd4QOlgBrrgZvag","topics":[],"lesson":{"exercise":null,"units":[{"id":9071,"name":"theory","url":"/courses/python-declarative-programming/lessons/list-comprehensions/theory_unit"}],"links":[],"ordered_units":[{"id":9071,"name":"theory","url":"/courses/python-declarative-programming/lessons/list-comprehensions/theory_unit"}],"id":4039,"slug":"list-comprehensions","state":"approved","name":"List generators","course_order":300,"goal":"Learning to describe complex chains of data stream conversions conveniently","self_study":null,"theory_video_provider":null,"theory_video_uid":null,"theory":"In a developer's everyday life, you will often see code that works with iterations because iterators are built into the language and tightly integrated into the standard library.\n\nWe usually assemble iterators and operations on them into data conveyors. Only at the end of each pipeline is `reduce()` or something else that doesn't pass elements on. Most of these pipelines consist of two types of operations:\n\n1. **Converting individual elements** with the `map()` function. It converts the entire stream using another function that handles the individual items\n2. **Changing the composition of the elements** via filtration or multiplication. The `filter()` function can filter the data. And the `map()` paired with the `chain()` from the `itertools` module turns each element into several without changing the nesting level\n\nFor example, imagine we want a list of numbers like this:\n\n```python\n[0, 0, 2, 2, 4, 4...]\n```\n\nThere are two copies each of increasing even numbers. Let's write a suitable pipeline:\n\n```python\n# Getting a stream of even numbers\ndef is_even(x):\n return x % 2 == 0\n\nlist(filter(is_even, range(20)))\n# [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]\n\n# Doubling each of them\ndef dup(x):\n return [x, x]\n\nlist(map(dup, filter(is_even, range(20))))\n# [[0, 0], [2, 2], [4, 4], [6, 6], [8, 8], [10, 10], [12, 12], [14, 14], [16, 16], [18, 18]]\n\n# Making the pipeline flat again\nfrom itertools import chain\nlist(chain(*map(dup, filter(is_even, range(20)))))\n# [0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18]\n\n# Making a single-line variant\nlist(chain(*map(lambda x: [x, x], filter(lambda x: x % 2 == 0, range(20)))))\n# [0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18]\n```\n\nAs you can see, the task is done by connecting ready-made elements rather than by writing all the code manually in the form of a `for` loop. We can already see the issue with our constructor: if there are no ready-made functions on elements or predicates, we will declare them beforehand or use `lambda`. Both options are inconvenient.\n\nWhen another person reads our code with individual functions, they have to keep jumping back and forth through the code. And `lambda` looks unwieldy. But don't despair, Python has a syntax that can simplify working with conveyors.\n\n## What are list generators\n\nLet's try to solve the same problem another way:\n\n```python\n[x for num in range(20) for x in [num, num] if num % 2 == 0]\n# [0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18]\n```\n\nIt's also a one-liner. You can get used to this syntax, although it may not look convenient now. Let's try to format the whole expression:\n\n```python\n[x\n for num in range(20)\n for x in [num, num]\n if num % 2 == 0\n]\n# [0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18]\n```\n\nThe code now looks like two nested loops. We can write similar code on regular ones:\n\n```python\nres = []\nfor y in range(20):\n for x in [y, y]:\n if y % 2 == 0:\n res.append(x)\n\nres\n# [0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18]\n```\n\nThe code looks very similar, but there are two differences:\n\n* For the first version, we create a new list, and for the second one, we modify a previously created one\n* The first version is an expression, and the second is a set of instructions. Consequently, we can use the first option as a part of any other expressions. We didn't have to declare any auxiliary functions, and we didn't need any lambdas\n\nExpressions that look like `[… for … in …]` are called **list generators**. Consider the components of the new syntax. List generators are defined as follows:\n\n```python\n[EXPRESSION for VARIABLE in SOURCE if CONDITION]\n```\n\nLet's look at this pattern in more detail:\n\n* `EXPRESSION` can use `VARIABLE` and is computed into a future list item\n* `VARIABLE` is the name with which the `SOURCE` elements are associated alternately\n* `SOURCE` — any iterator or iterated object\n* `CONDITION` — an expression that uses `VARIABLE`, computed at each iteration\n\nIf the condition is false, we skip the computing of the current iteration, so we add no new item to the final list. If we omit the condition and the `if` keyword, it will be equivalent to the `if True`. There can be several variables. Here, unpacking tuples and lists, including nested ones, works too.\n\nHere are a few examples:\n\n```python\n# squares of numbers\n[x*x for x in [1, 2, 3]]\n# [1, 4, 9]\n\n# Codes of uppercase letters from a given string\n[ord(c) for c in \"Hello!!\" if c.isalpha() and c.islower()]\n# [101, 108, 108, 111]\n\n# Indexes of pairs whose elements are equal to each other\n[i for i, (x, y) in enumerate([(1, 2), (4, 4), (5, 7), (0, 0)]) if x == y]\n# [1, 3]\n```\n\n## When to use list generators\n\nWe saw above that list generators don't override all the built-in functions for dealing with iterators. One goes well with the other.\n\nOn the other hand, it's better not to mix list generators with `map()` and `filter()` — they're just interchangeable entities. Also, don't mix list generators with any side effects. The point is that generators allow you to write concise and compact code. There's no need to force the programmer to think about what will change and where when creating the list.\n\nIt applies not only to code with the `map()` and `filter()` functions but to any declarative pipelines in general. It's worth separating code written in different paradigms into separate sections. For example, I/O is one of the main types of side effects. It may be at the beginning of the pipeline or the end of it, but not in the middle.\n\n## How the declarative nature of list generators manifests \n\nLet's see how the list generator differs from the explicitly imperative double loop. When you use loops, you can build a list and make other side effects — for example, change the objects in lists.\n\nThe loops perform repetitive actions, so side effects are okay in them.\n\nThe list generators, in turn, describe what each item is, not how to get it from the outside world or output it to the console. You can look at the different parts and see that:\n\n* The list generator describes the result. It says: \"The resulting list is a list of numbers between 1 and 20\"\n* The procedural solution shows how to get a result. It says: \"For each number in the range up to 20, add a number to the list\"\n\nThe `for` loops look the same in both cases because Python loops are more declarative than some other languages. Thus, the `for` loops are considered imperative in Python because of their body, not their header.\n"},"lessonMember":null,"courseMember":null,"course":{"start_lesson":{"exercise":null,"units":[{"id":9069,"name":"theory","url":"/courses/python-declarative-programming/lessons/declarative-way/theory_unit"}],"links":[],"ordered_units":[{"id":9069,"name":"theory","url":"/courses/python-declarative-programming/lessons/declarative-way/theory_unit"}],"id":4037,"slug":"declarative-way","state":"approved","name":"Declarative approach","course_order":100,"goal":"Getting to know declarative programming","self_study":null,"theory_video_provider":null,"theory_video_uid":null,"theory":"We can write almost any code in any language in different ways. You can split the code into functions differently, name variables in different ways, or change the nesting depth of conditional constructs. These are all metrics of code quality and the individual components that make **coding style**.\n\nHowever, coding style has almost no effect on the specific task and the solution architecture. We determine these properties by choosing the [programming paradigm](https://en.wikipedia.org/wiki/Programming_paradigm).\n\n**A programming paradigm** is a set of ideas about how to solve a problem. We start applying the paradigm even before we start writing code. The code in a particular language merely allows us to write our thoughts in a program with a greater or lesser degree of convenience.\n\nAn experienced programmer knows how to:\n\n* Think in the right way and various paradigms\n* Apply different paradigms\n* Choose the right paradigm for specific tasks\n* Write their thoughts in code in different programming languages\n\nWe can say that the paradigm is suitable for any programming language when you don't need to battle with the language and change your approach to solve a problem. If the paradigm fits the language, the programmer writes down their thoughts as they are.\n\nPython and most modern high-level programming languages are considered multiparadigms. In other words, you can use many different paradigms. It won't be any less convenient.\n\nC and other low-level languages cannot afford this freedom because code in these languages must be efficient. In these languages, solutions are tied as much as possible to how the task is understood by the computer, not by the developer.\n\n## Imperative programming\n\nLet's imagine that we need to solve a complex problem. We cannot solve it in one computer action, so we describe **a sequence of steps** to be performed.\n\nWe break down the broad steps into smaller ones until the interpreter or compiler of the chosen language can understand each step. Simply put, we think through and describe **how to achieve the desired result**. This description of a sequence of steps is called [imperative programming](https://en.wikipedia.org/wiki/Imperative_programming).\n\nImperative programming involves changing the state of the computer. Large programs constantly modify global and local variables:\n\n* Write things to the disk\n* Send and receive from the network\n* Run individual subroutines and procedures\n\nSuch a code ensures the highest possible efficiency. But there is a disadvantage: it forces the programmer to remember everything that changes with each step.\n\nMost low-level languages assume you'll be coding only in this paradigm — after all, all the computer does is sequentially execute machine language commands and change the memory state. Many high-level languages also involve imperative problem-solving.\n\n## Declarative programming\n\nWhen we work on problems, the first thing we do is imagine the desired outcome. Then, we think of a way to get there. Programmers also use this approach. Sometimes, a programmer can describe the result, and the computer will find ways to achieve it.\n\n[Declarative programming](https://en.wikipedia.org/wiki/Declarative_programming) works this way. When solving a problem in a declarative style, we describe how the result relates to the input data. We can refine the details until the interpreter has enough information to proceed. By specifying our requirements, we still don't tell the computer exactly how to do the job — we describe the ratio of inputs to outputs more precisely.\n\nDeclarative programming is often like writing a formula or combining individual processes into a pipeline that generates output data from input data. We break complicated expressions into simpler ones and divide complex operations into chains of simpler ones. When you break it down, you don't have to think about how the state of the computer will change and how it will store intermediate data.\n\nWriting and reading the code are easier this way, but it complicates the interpreter or compiler itself. And the more difficult it becomes to make interpreters and compilers that will allow the computer to run efficiently.\n\nIt is why low-level languages have almost no tools for declarative programming because, for such languages, the main thing is efficiency. However, not every high-level language provides the means to solve any problem strictly declaratively. Usually, we only talk about the elements of declarative programming.\n\n## No silver bullet\n\nIt's human nature to think in declarative terms. Take mathematics as an example: we know the axioms and theorems, for example:\n\n```md\nThe square of the hypotenuse is equal to the sum of the squares of the other two sides\n```\n\nWe usually reason in these declarative terms. The same thought would go like this imperatively:\n\n```md\nTake the first side, multiply by itself, memorize, add, and memorize the result,\nand extract the root from the previous result\n```\n\nIf our computers were infinitely productive and comprehensible, any code would be declarative.\n\nHowever, we don't have such efficient computers and cannot describe every task declaratively. There is no perfect solution — a point made by software engineer Frederick Brooks in his famous article [«No Silver Bullet»](https://en.wikipedia.org/wiki/No_Silver_Bullet).\n\nSince we don't have a perfect solution, we have to be happy with:\n\n* Purely declarative problem-solving in limited subject areas — for example, when working with [SQL language](https://en.wikipedia.org/wiki/SQL) and [subject-oriented languages](https://en.wikipedia.org/wiki/Domain-specific_language)\n* Declarative style with elements of imperative style\n\nWe can use Python to implement declarative subject-oriented languages to suit the task. But that's not all — you can write declaratively with elements of imperative writing. That's what this course is all about.\n\n## The confusing terminology\n\nIn different sources, you can encounter the term **functional style**. In such cases, people talk about the programming paradigm, not the coding style. 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__m__-_R_rdub_"><style data-mantine-styles="inline">.__m__-_R_6qrdub_{margin-top:0rem;padding-inline:var(--mantine-spacing-xs);width:100%;}@media(min-width: 48em){.__m__-_R_6qrdub_{margin-top:var(--mantine-spacing-xl);width:80%;}}@media(min-width: 62em){.__m__-_R_6qrdub_{padding-inline:var(--mantine-spacing-xl);}}</style><div style="margin-inline:auto;max-width:var(--mantine-breakpoint-xl)" class="__m__-_R_6qrdub_"><div style="color:var(--mantine-color-dimmed)" class="m_4451eb3a mantine-Center-root" data-inline="true"><div style="--ti-size:var(--ti-size-xs);--ti-bg:transparent;--ti-color:var(--mantine-color-indigo-light-color);--ti-bd:calc(0.0625rem * var(--mantine-scale)) solid transparent;margin-inline-end:calc(0.125rem * var(--mantine-scale));color:inherit" class="m_7341320d mantine-ThemeIcon-root" data-variant="transparent" data-size="xs"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="tabler-icon tabler-icon-lock "><path d="M5 13a2 2 0 0 1 2 -2h10a2 2 0 0 1 2 2v6a2 2 0 0 1 -2 2h-10a2 2 0 0 1 -2 -2v-6"></path><path d="M11 16a1 1 0 1 0 2 0a1 1 0 0 0 -2 0"></path><path d="M8 11v-4a4 4 0 1 1 8 0v4"></path></svg></div><p style="font-size:var(--mantine-font-size-sm)" class="mantine-focus-auto m_b6d8b162 mantine-Text-root">Python: Declarative programming</p></div><h1 style="--title-fw:var(--mantine-h1-font-weight);--title-lh:var(--mantine-h1-line-height);--title-fz:var(--mantine-h1-font-size);margin-bottom:var(--mantine-spacing-xl)" class="m_8a5d1357 mantine-Title-root" data-order="1">Theory: List generators</h1><script type="application/ld+json">{"@context":"https://schema.org","@type":"LearningResource","name":"List generators","inLanguage":"en","isPartOf":{"@type":"LearningResource","name":"Python: Declarative 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0"></path></svg></div><div class="m_667c2793 mantine-Alert-body"><div class="m_6a03f287 mantine-Alert-title"><span id="mantine-_R_remqrdub_-title" class="m_698f4f23 mantine-Alert-label">Full access to materials</span></div><div id="mantine-_R_remqrdub_-body" class="m_7fa78076 mantine-Alert-message"><div style="--group-gap:var(--mantine-spacing-md);--group-align:center;--group-justify:space-between;--group-wrap:wrap" class="m_4081bf90 mantine-Group-root"><p class="mantine-focus-auto m_b6d8b162 mantine-Text-root">Sign up and get access to this and dozens of other courses</p><a style="--button-height:var(--button-height-xs);--button-padding-x:var(--button-padding-x-xs);--button-fz:var(--mantine-font-size-xs);--button-bg:linear-gradient(45deg, var(--mantine-color-blue-filled) 0%, var(--mantine-color-cyan-filled) 100%);--button-hover:linear-gradient(45deg, var(--mantine-color-blue-filled) 0%, var(--mantine-color-cyan-filled) 100%);--button-color:var(--mantine-color-white);--button-bd:none" class="mantine-focus-auto mantine-active m_77c9d27d mantine-Button-root m_87cf2631 mantine-UnstyledButton-root" data-variant="gradient" data-size="xs" href="/u/new"><span class="m_80f1301b mantine-Button-inner"><span class="m_811560b9 mantine-Button-label">Sign up</span></span></a></div></div></div></div></div><div class="paywalled m_d08caa0 mantine-Typography-root"><p>In a developer's everyday life, you will often see code that works with iterations because iterators are built into the language and tightly integrated into the standard library.</p>
<p>We usually assemble iterators and operations on them into data conveyors. Only at the end of each pipeline is <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">reduce()</code> or something else that doesn't pass elements on. Most of these pipelines consist of two types of operations:</p>
<ol>
<li><strong>Converting individual elements</strong> with the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">map()</code> function. It converts the entire stream using another function that handles the individual items</li>
<li><strong>Changing the composition of the elements</strong> via filtration or multiplication. The <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">filter()</code> function can filter the data. And the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">map()</code> paired with the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">chain()</code> from the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">itertools</code> module turns each element into several without changing the nesting level</li>
</ol>
<p>For example, imagine we want a list of numbers like this:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">[0, 0, 2, 2, 4, 4...]</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>There are two copies each of increasing even numbers. Let's write a suitable pipeline:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code"># Getting a stream of even numbers
def is_even(x):
return x % 2 == 0
list(filter(is_even, range(20)))
# [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]
# Doubling each of them
def dup(x):
return [x, x]
list(map(dup, filter(is_even, range(20))))
# [[0, 0], [2, 2], [4, 4], [6, 6], [8, 8], [10, 10], [12, 12], [14, 14], [16, 16], [18, 18]]
# Making the pipeline flat again
from itertools import chain
list(chain(*map(dup, filter(is_even, range(20)))))
# [0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18]
# Making a single-line variant
list(chain(*map(lambda x: [x, x], filter(lambda x: x % 2 == 0, range(20)))))
# [0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18]</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>As you can see, the task is done by connecting ready-made elements rather than by writing all the code manually in the form of a <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">for</code> loop. We can already see the issue with our constructor: if there are no ready-made functions on elements or predicates, we will declare them beforehand or use <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">lambda</code>. Both options are inconvenient.</p>
<p>When another person reads our code with individual functions, they have to keep jumping back and forth through the code. And <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">lambda</code> looks unwieldy. But don't despair, Python has a syntax that can simplify working with conveyors.</p>
<h2 id="heading-2-1">What are list generators</h2>
<p>Let's try to solve the same problem another way:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">[x for num in range(20) for x in [num, num] if num % 2 == 0]
# [0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18]</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>It's also a one-liner. You can get used to this syntax, although it may not look convenient now. Let's try to format the whole expression:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">[x
for num in range(20)
for x in [num, num]
if num % 2 == 0
]
# [0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18]</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>The code now looks like two nested loops. We can write similar code on regular ones:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">res = []
for y in range(20):
for x in [y, y]:
if y % 2 == 0:
res.append(x)
res
# [0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18]</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>The code looks very similar, but there are two differences:</p>
<ul>
<li>For the first version, we create a new list, and for the second one, we modify a previously created one</li>
<li>The first version is an expression, and the second is a set of instructions. Consequently, we can use the first option as a part of any other expressions. We didn't have to declare any auxiliary functions, and we didn't need any lambdas</li>
</ul>
<p>Expressions that look like <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">[… for … in …]</code> are called <strong>list generators</strong>. Consider the components of the new syntax. List generators are defined as follows:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">[EXPRESSION for VARIABLE in SOURCE if CONDITION]</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>Let's look at this pattern in more detail:</p>
<ul>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">EXPRESSION</code> can use <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">VARIABLE</code> and is computed into a future list item</li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">VARIABLE</code> is the name with which the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">SOURCE</code> elements are associated alternately</li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">SOURCE</code> — any iterator or iterated object</li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">CONDITION</code> — an expression that uses <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">VARIABLE</code>, computed at each iteration</li>
</ul>
<p>If the condition is false, we skip the computing of the current iteration, so we add no new item to the final list. If we omit the condition and the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">if</code> keyword, it will be equivalent to the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">if True</code>. There can be several variables. Here, unpacking tuples and lists, including nested ones, works too.</p>
<p>Here are a few examples:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code"># squares of numbers
[x*x for x in [1, 2, 3]]
# [1, 4, 9]
# Codes of uppercase letters from a given string
[ord(c) for c in "Hello!!" if c.isalpha() and c.islower()]
# [101, 108, 108, 111]
# Indexes of pairs whose elements are equal to each other
[i for i, (x, y) in enumerate([(1, 2), (4, 4), (5, 7), (0, 0)]) if x == y]
# [1, 3]</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<h2 id="heading-2-2">When to use list generators</h2>
<p>We saw above that list generators don't override all the built-in functions for dealing with iterators. One goes well with the other.</p>
<p>On the other hand, it's better not to mix list generators with <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">map()</code> and <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">filter()</code> — they're just interchangeable entities. Also, don't mix list generators with any side effects. The point is that generators allow you to write concise and compact code. There's no need to force the programmer to think about what will change and where when creating the list.</p>
<p>It applies not only to code with the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">map()</code> and <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">filter()</code> functions but to any declarative pipelines in general. It's worth separating code written in different paradigms into separate sections. For example, I/O is one of the main types of side effects. It may be at the beginning of the pipeline or the end of it, but not in the middle.</p>
<h2 id="heading-2-3">How the declarative nature of list generators manifests</h2>
<p>Let's see how the list generator differs from the explicitly imperative double loop. When you use loops, you can build a list and make other side effects — for example, change the objects in lists.</p>
<p>The loops perform repetitive actions, so side effects are okay in them.</p>
<p>The list generators, in turn, describe what each item is, not how to get it from the outside world or output it to the console. You can look at the different parts and see that:</p>
<ul>
<li>The list generator describes the result. It says: "The resulting list is a list of numbers between 1 and 20"</li>
<li>The procedural solution shows how to get a result. It says: "For each number in the range up to 20, add a number to the list"</li>
</ul>
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