The declarative approach to defining sequences has many advantages.
Sometimes, it's necessary to tone down the declarative style and use imperative techniques, such as a changeable state or the ability to abort the generation process early. In other cases, the elements of the output sequence don't depend on each other or the input sequence so explicitly that we can do without declarative methods. Simply put, sometimes you need to get to a level where the output of elements is simple and controllable — like printing elements with print(). This code will look very imperative, but it will be effective.
In Python, iterative computation is ubiquitous, so low-level programming tools for data streams are built into the language. That's what we'll study in this lesson.
The yield keyword
Imagine we need to construct a sequence of numbers whose elements increase exponentially. If we want to print these numbers, the code would likely look like this:
As soon as we call the iterate procedure, all increasing numbers will be output indefinitely because we haven't provided any end to the cycle. The execution of the iterate won't finish, so all the code after the call won't execute.
Now imagine we need a sequence outside the iterate procedure. We can't do return instead of print(), as it'll stop the generation process in this case.
We could pass a list as an argument to which the procedure would add items instead of printing them. However, we won't be able to use the list because the process will never finish. We cannot always know how many iterations we will have to perform. To cope with the problems described above, you need a new keyword, yield:
Notice that the iterate function call is calculated into the generator object <generator object> while we do not loop the function. Now iterate is a function because it calculates a specific result.
These functions are called generator functions. They're constructed using the yield keyword and return a generator object. But where are the numbers? They'll be given to us by the generator object, which works as an infinite-sequence iterator in this case. Note the wording, "works as an iterator". In Python, many things work according to conventions, so if something behaves like an iterator, it is considered an iterator.
Here's how you can apply this function:
Here, the caller decides how many elements it needs and when. In this case, the generator function code does not carry the burden of something it does not need.
Initialization, pause, and end of generation
The yield keyword is similar to return in the example above. It also returns a single element, not a generic expression. Another similarity is that control goes back to the code that requested the item from the iterator.
Usually, it stops the body from functioning once and for all. However, yield suspends execution. Execution resumes when the caller asks for a new element via next().
It continues until one of these events occurs:
- It encounters a new yield
- It encounters a return
- It executes the last line of the function body
In the first case, the caller will receive the generated value, and execution will pause. The other two events work the same — they complete the iteration process. The code above the first yield is often called the initialization code. Python executes it when next() is first applied to the generator object.
During the initialization and termination phases, it's convenient to open the files with contents portioned out by the iterator and close the file in time. Declarative generators don't have this capability per se, so it is worth knowing how to write generator functions for the sake of this flexibility.
Consider a small example, reporting all phases of how it works:
This example demonstrates that the generator object reacts to iter(), but we cannot reuse it. However, you can always get a new instance by calling the generator function. However, saving the state between several sections that consume iterator elements can be very useful.
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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":"b6fsouWehUNRFLekd5HmH7cRSDb3CR2B3R0hvbrAESk8YYGUxPW-ozYeSEzFD9Heu7vGbTsXB41_mOuu9xzO8g","topics":[],"lesson":{"exercise":null,"units":[{"id":9074,"name":"theory","url":"/courses/python-declarative-programming/lessons/generator-functions/theory_unit"}],"links":[],"ordered_units":[{"id":9074,"name":"theory","url":"/courses/python-declarative-programming/lessons/generator-functions/theory_unit"}],"id":4042,"slug":"generator-functions","state":"approved","name":"Function-generators","course_order":600,"goal":"Learning how low-level generators are programmed","self_study":null,"theory_video_provider":null,"theory_video_uid":null,"theory":"The declarative approach to defining sequences has many advantages.\n\nSometimes, it's necessary to tone down the declarative style and use imperative techniques, such as a changeable state or the ability to abort the generation process early. In other cases, the elements of the output sequence don't depend on each other or the input sequence so explicitly that we can do without declarative methods. Simply put, sometimes you need to get to a level where the output of elements is simple and controllable — like printing elements with `print()`. This code will look very imperative, but it will be effective.\n\nIn Python, iterative computation is ubiquitous, so low-level programming tools for data streams are built into the language. That's what we'll study in this lesson.\n\n## The `yield` keyword\n\nImagine we need to construct a sequence of numbers whose elements increase exponentially. If we want to print these numbers, the code would likely look like this:\n\n```python\ndef iterate(x0, m):\n x = x0\n while True:\n print(x)\n x *= m\n\niterate(1, 1.1)\n\nprint(\"impossible!\")\n```\n\nAs soon as we call the `iterate` procedure, all increasing numbers will be output indefinitely because we haven't provided any end to the cycle. The execution of the `iterate` won't finish, so all the code after the call won't execute.\n\nNow imagine we need a sequence outside the `iterate` procedure. We can't do `return` instead of `print()`, as it'll stop the generation process in this case.\n\nWe could pass a list as an argument to which the procedure would add items instead of printing them. However, we won't be able to use the list because the process will never finish. We cannot always know how many iterations we will have to perform. To cope with the problems described above, you need a new keyword, `yield`:\n\n```python\ndef iterate(x0, m):\n x = x0\n while True:\n yield x # instead of print()\n x *= m\niterate(1, 1.1)\n# <generator object iterate at 0x...>\n```\n\nNotice that the `iterate` function call is calculated into the generator object `<generator object>` while we do not loop the function. Now `iterate` is a function because it calculates a specific result.\n\nThese functions are called **generator** functions. They're constructed using the `yield` keyword and return a generator object. But where are the numbers? They'll be given to us by the generator object, which works as an **infinite-sequence iterator** in this case. Note the wording, \"works as an iterator\". In Python, many things work according to conventions, so if something behaves like an iterator, it is considered an iterator.\n\nHere's how you can apply this function:\n\n```python\nfor n in iterate(1, 1.2):\n print(n)\n if n > 3:\n break\n\n# => 1\n# => 1.2\n# => 1.44\n# => 1.728\n# => 2.0736\n# => 2.48832\n# => 2.9859839999999997\n# => 3.5831807999999996\n```\n\nHere, the caller decides how many elements it needs and when. In this case, the generator function code does not carry the burden of something it does not need.\n\n## Initialization, pause, and end of generation\n\nThe `yield` keyword is similar to `return` in the example above. It also returns a single element, not a generic expression. Another similarity is that control goes back to the code that requested the item from the iterator.\n\nUsually, it stops the body from functioning once and for all. However, `yield` suspends execution. Execution resumes when the caller asks for a new element via `next()`.\n\nIt continues until one of these events occurs:\n\n- It encounters a new `yield`\n- It encounters a `return`\n- It executes the last line of the function body\n\nIn the first case, the caller will receive the generated value, and execution will pause. The other two events work the same — they complete the iteration process. The code above the first `yield` is often called **the initialization code**. Python executes it when `next()` is first applied to the generator object.\n\nDuring the initialization and termination phases, it's convenient to open the files with contents portioned out by the iterator and close the file in time. Declarative generators don't have this capability per se, so it is worth knowing how to write generator functions for the sake of this flexibility.\n\nConsider a small example, reporting all phases of how it works:\n\n```python\ndef f():\n print('Initializing...')\n yield 'one'\n print('Continue...')\n yield 'two'\n print('Stopping...')\n\ni = f()\n# Nothing has been done yet\ni\n# <generator object f at 0x...>\n\nnext(i) # very first next()\n# => Initializing...\n# => 'one'\n# Initialization passed, the first value is received\n\nnext(i)\n# => Continue...\n# => 'two'\n# We execute the code between the first yield and the next one and obtain the second value\n\nnext(i)\n# => Stopping...\n# Traceback (most recent call last):\n# ...\n# next(i)\n# StopIteration\n# Execution has reached the end of the function body, so iteration is complete\n\nj = iter(i) # Trying to get a new iterator\nj is i\n# True\n# iter() The response was a reference to the original object\n\nnext(j)\n# Traceback (most recent call last):\n# ...\n# next(j)\n# StopIteration\n# The same sequence could not be circumvented again\n```\n\nThis example demonstrates that the generator object reacts to `iter()`, but we cannot reuse it. However, you can always get a new instance by calling the generator function. However, saving the state between several sections that consume iterator elements can be very useful.\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. So, focus on the adjective \"functional\" rather than the noun \"style\".\n\nThere are also variations, like \"in a functional way\". We need to pay attention to the adjective here, too.\n\n## How to prepare for this course\n\nTo prepare for the declarative approach, you need to master the basics of programming language syntax, functions, and working with collections. We covered these topics in detail in the following courses:\n\n* [Python Basics](https://hexlet.io/courses/python-basics)\n* [Lists](https://hexlet.io/courses/python-lists)\n* [Dictionaries](https://hexlet.io/courses/python-dicts)\n* [Functions](https://hexlet.io/courses/python-functions)\n\nYou can find the correct sequence of courses in the syllabus for the [Python Developer](https://hexlet.io/programs/python).\n"},"id":363,"slug":"python-declarative-programming","challenges_count":0,"name":"Python: Declarative programming","allow_indexing":true,"state":"approved","course_state":"finished","pricing_type":"paid","description":"In this course, you will learn the tools of declarative programming. You will investigate the difference between the imperative and declarative paradigms. You'll comprehend generators, how to handle streaming data, how to use pending computations, and how to create and modify collections. The knowledge in this course will help you work with transformations. 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{.mantine-hidden-from-lg {display: none !important;}}@media (max-width: 87.99375em) {.mantine-visible-from-xl {display: none !important;}}@media (min-width: 88em) {.mantine-hidden-from-xl {display: none !important;}}</style><div style="position:absolute;top:0rem" class=""></div><div style="max-width:var(--container-size-xl);height:100%;min-height:0rem" class=""><style data-mantine-styles="inline">.__m__-_R_5ub_{--grid-gutter:0rem;}</style><div style="height:100%;min-height:0rem" class="m_410352e9 mantine-Grid-root __m__-_R_5ub_"><div class="m_dee7bd2f mantine-Grid-inner" style="height:100%"><style data-mantine-styles="inline">.__m__-_R_rdub_{--col-flex-grow:auto;--col-flex-basis:91.66666666666667%;--col-max-width:91.66666666666667%;}@media(min-width: 48em){.__m__-_R_rdub_{--col-flex-grow:auto;--col-flex-basis:83.33333333333334%;--col-max-width:83.33333333333334%;}}</style><div style="min-width:0rem;height:100%;min-height:0rem;display:flex" class="m_96bdd299 mantine-Grid-col __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: Function-generators</h1><script type="application/ld+json">{"@context":"https://schema.org","@type":"LearningResource","name":"Function-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>The declarative approach to defining sequences has many advantages.</p>
<p>Sometimes, it's necessary to tone down the declarative style and use imperative techniques, such as a changeable state or the ability to abort the generation process early. In other cases, the elements of the output sequence don't depend on each other or the input sequence so explicitly that we can do without declarative methods. Simply put, sometimes you need to get to a level where the output of elements is simple and controllable — like printing elements 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">print()</code>. This code will look very imperative, but it will be effective.</p>
<p>In Python, iterative computation is ubiquitous, so low-level programming tools for data streams are built into the language. That's what we'll study in this lesson.</p>
<h2 id="heading-2-1">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">yield</code> keyword</h2>
<p>Imagine we need to construct a sequence of numbers whose elements increase exponentially. If we want to print these numbers, the code would likely look 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">def iterate(x0, m):
x = x0
while True:
print(x)
x *= m
iterate(1, 1.1)
print("impossible!")</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 soon as we call 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">iterate</code> procedure, all increasing numbers will be output indefinitely because we haven't provided any end to the cycle. The execution of 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">iterate</code> won't finish, so all the code after the call won't execute.</p>
<p>Now imagine we need a sequence outside 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">iterate</code> procedure. We can't do <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">return</code> instead of <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">print()</code>, as it'll stop the generation process in this case.</p>
<p>We could pass a list as an argument to which the procedure would add items instead of printing them. However, we won't be able to use the list because the process will never finish. We cannot always know how many iterations we will have to perform. To cope with the problems described above, you need a new keyword, <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">yield</code>:</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">def iterate(x0, m):
x = x0
while True:
yield x # instead of print()
x *= m
iterate(1, 1.1)
# <generator object iterate at 0x...></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>Notice that 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">iterate</code> function call is calculated into the generator object <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight"><generator object></code> while we do not loop the function. Now <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">iterate</code> is a function because it calculates a specific result.</p>
<p>These functions are called <strong>generator</strong> functions. They're constructed using 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">yield</code> keyword and return a generator object. But where are the numbers? They'll be given to us by the generator object, which works as an <strong>infinite-sequence iterator</strong> in this case. Note the wording, "works as an iterator". In Python, many things work according to conventions, so if something behaves like an iterator, it is considered an iterator.</p>
<p>Here's how you can apply this function:</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">for n in iterate(1, 1.2):
print(n)
if n > 3:
break
# => 1
# => 1.2
# => 1.44
# => 1.728
# => 2.0736
# => 2.48832
# => 2.9859839999999997
# => 3.5831807999999996</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>Here, the caller decides how many elements it needs and when. In this case, the generator function code does not carry the burden of something it does not need.</p>
<h2 id="heading-2-2">Initialization, pause, and end of generation</h2>
<p>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">yield</code> keyword is similar to <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">return</code> in the example above. It also returns a single element, not a generic expression. Another similarity is that control goes back to the code that requested the item from the iterator.</p>
<p>Usually, it stops the body from functioning once and for all. However, <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">yield</code> suspends execution. Execution resumes when the caller asks for a new element via <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">next()</code>.</p>
<p>It continues until one of these events occurs:</p>
<ul>
<li>It encounters a new <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">yield</code></li>
<li>It encounters 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">return</code></li>
<li>It executes the last line of the function body</li>
</ul>
<p>In the first case, the caller will receive the generated value, and execution will pause. The other two events work the same — they complete the iteration process. The code above the first <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">yield</code> is often called <strong>the initialization code</strong>. Python executes it when <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">next()</code> is first applied to the generator object.</p>
<p>During the initialization and termination phases, it's convenient to open the files with contents portioned out by the iterator and close the file in time. Declarative generators don't have this capability per se, so it is worth knowing how to write generator functions for the sake of this flexibility.</p>
<p>Consider a small example, reporting all phases of how it works:</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">def f():
print('Initializing...')
yield 'one'
print('Continue...')
yield 'two'
print('Stopping...')
i = f()
# Nothing has been done yet
i
# <generator object f at 0x...>
next(i) # very first next()
# => Initializing...
# => 'one'
# Initialization passed, the first value is received
next(i)
# => Continue...
# => 'two'
# We execute the code between the first yield and the next one and obtain the second value
next(i)
# => Stopping...
# Traceback (most recent call last):
# ...
# next(i)
# StopIteration
# Execution has reached the end of the function body, so iteration is complete
j = iter(i) # Trying to get a new iterator
j is i
# True
# iter() The response was a reference to the original object
next(j)
# Traceback (most recent call last):
# ...
# next(j)
# StopIteration
# The same sequence could not be circumvented again</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>This example demonstrates that the generator object reacts to <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">iter()</code>, but we cannot reuse it. However, you can always get a new instance by calling the generator function. 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