The sort() method demonstrates well the importance and convenience of higher-order functions for everyday tasks. By describing the algorithm once, we can get different behaviors by specifying them right at the sorting location. The same applies to the map(), filter() and reduce() methods discussed above.
When using higher-order functions, it is customary to divide the task into subtasks and perform them one after another, building them into a chain of operations. This resembles dragging data through a transformation pipeline.
The SICP compares this approach to the way signals are processed when designing electrical circuits. The current flowing through the circuit goes through a chain of transducers: filters, noise suppressors, amplifiers, and so on. The voltage (and the current it generates) here represents data, and the transducers play the role of functions.
This is the main way of working with collections in JavaScript. But loops are almost not used because of much less flexibility, more code (which is more error-prone), and difficulties in dividing a complex algorithm into independent steps.
Suppose we write a function that takes a list of file system paths as input, finds files with .js extension case insensitive among them, and returns the names of those files. To solve this problem, we need the following functions:
The example above is a common loop-based solution. His algorithm can be described as follows:
- Reviewing each path
- If the current path is an ordinary file with a .js extension (not case-sensitive), then add to the resulting array
If you try to do the same using the reduce() method, you will get the same code that is identical to the loop solution. But if you think carefully, you can see that this task breaks down into two: filtering and mapping.
The code is slightly shorter (not including comments) and more expressive, but the main thing is not its size. As the number of operations and their complexity increase, code broken down in this way is much easier to read and analyze, since each operation is performed independently for the entire set at once. You have to keep fewer details in mind and you can immediately see how the operation affects all the data. However, learning how to break a task into subtasks is not as easy as it may seem, it takes some practice and skill before your code becomes digestible.
Note that here the filtering is broken up into three steps, not done in one. Given the brevity of the function definition in js, it is much better to split the checks into a larger number of filters than to make one complex filter.
The very possibility of such a breakdown is based on a simple idea sometimes called "standard interfaces". It derives from the fact that both the function input and output should use the same kind of data, in this case an array. This allows you to connect functions and build chains that perform a large number of different tasks without having to implement new functions. The previously discussed operations - mapping, filtering, and aggregation - combine to solve the vast majority of collection processing tasks. We've all encountered something similar in our lives when assembling Lego constructors. A small number of primitive parts due to the same connections allows you to build structures of almost unlimited complexity.
In fact, such chains frequently end with aggregation, because aggregation reduces the collection to some final value.
Performance
The performance considerations were left out of the picture. Some of you may have guessed that for every call to a function that handles a collection, we traverse the entire list. The more such functions, the more traversing done. It would seem that the code slows down, so why do that? In practice, extra traversing is rarely a problem (see "The Mature Optimization Handbook"). Tasks that require simultaneous processing of tens or hundreds of thousands of elements are extremely rare. Most operations are performed on lists of up to thousands of items. And for a list like this, one traversing more or one less makes no difference.
But that's not the whole truth. There are special collections that do not perform operations at once when filtering, displaying, etc. are called. They accumulate the necessary actions, and during the first use, they do everything at once in one traversing. These are so-called "lazy collections."
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The list of free domains is stored in the `freeEmailDomains` constant.\n\n### Examples\n\n```javascript\nconst emails = [\n 'info@gmail.com',\n 'info@yes.com',\n 'info@hotmail.com',\n 'mk@host.com',\n 'support@hexlet.io',\n 'key@yes.com',\n 'sergey@gmail.com',\n 'vovan@gmail.com',\n 'vovan@hotmail.com',\n];\n\ngetFreeDomainsCount(emails);\n// {\n// 'gmail.com': 3,\n// 'yes.com': 2,\n// 'hotmail.com': 2,\n// };\n```\n\nOther examples available in the file with tests.\n\n### Tips\n\n* You may find of use for the [get()](https://lodash.com/docs#chunk) function from the lodash library\n","prepared_readme":"## emails.js\n\nImplement and export as default a function that takes a list of emails as input, and returns the number of emails located on each free domain. The list of free domains is stored in the `freeEmailDomains` constant.\n\n### Examples\n\n```javascript\nconst emails = [\n 'info@gmail.com',\n 'info@yes.com',\n 'info@hotmail.com',\n 'mk@host.com',\n 'support@hexlet.io',\n 'key@yes.com',\n 'sergey@gmail.com',\n 'vovan@gmail.com',\n 'vovan@hotmail.com',\n];\n\ngetFreeDomainsCount(emails);\n// {\n// 'gmail.com': 3,\n// 'yes.com': 2,\n// 'hotmail.com': 2,\n// };\n```\n\nOther examples available in the file with tests.\n\n### Tips\n\n* You may find of use for the [get()](https://lodash.com/docs#chunk) function from the lodash library\n","has_solution":true,"entity_name":"Signals"},"units":[{"id":6658,"name":"theory","url":"/courses/js-functions/lessons/signals/theory_unit"},{"id":6659,"name":"quiz","url":"/courses/js-functions/lessons/signals/quiz_unit"},{"id":6670,"name":"exercise","url":"/courses/js-functions/lessons/signals/exercise_unit"}],"links":[{"id":422505,"name":"Signal processing","url":"https://en.wikipedia.org/wiki/Signal_processing"},{"id":422506,"name":"The Mature Optimization Handbook","url":"https://carlos.bueno.org/optimization/mature-optimization.pdf"}],"ordered_units":[{"id":6658,"name":"theory","url":"/courses/js-functions/lessons/signals/theory_unit"},{"id":6659,"name":"quiz","url":"/courses/js-functions/lessons/signals/quiz_unit"},{"id":6670,"name":"exercise","url":"/courses/js-functions/lessons/signals/exercise_unit"}],"id":2920,"slug":"signals","state":"approved","name":"Signals","course_order":650,"goal":"Come to grips with the concept of standard interface","self_study":null,"theory_video_provider":null,"theory_video_uid":null,"theory":"The `sort()` method demonstrates well the importance and convenience of higher-order functions for everyday tasks. By describing the algorithm once, we can get different behaviors by specifying them right at the sorting location. The same applies to the `map()`, `filter()` and `reduce()` methods discussed above.\n\nWhen using higher-order functions, it is customary to divide the task into subtasks and perform them one after another, building them into a chain of operations. This resembles dragging data through a transformation pipeline.\n\n[The SICP](https://www.amazon.com/Structure-Interpretation-Computer-Programs-Engineering/dp/0262510871/ref=sr_1_1?crid=X450GJT800R1&keywords=Structure+and+Interpretation+of+Computer+Programs&qid=1648740392&s=books&sprefix=structure+and+interpretation+of+computer+programs%2Cstripbooks-intl-ship%2C356&sr=1-1) compares this approach to the way [signals are processed](https://en.wikipedia.org/wiki/Signal_processing) when designing electrical circuits. The current flowing through the circuit goes through a chain of transducers: filters, noise suppressors, amplifiers, and so on. The voltage (and the current it generates) here represents data, and the transducers play the role of functions.\n\nThis is the main way of working with collections in JavaScript. But loops are almost not used because of much less flexibility, more code (which is more error-prone), and difficulties in dividing a complex algorithm into independent steps.\n\n\n\nSuppose we write a function that takes a list of file system paths as input, finds files with `.js` extension case insensitive among them, and returns the names of those files. To solve this problem, we need the following functions:\n\n* [fs.existsSync(filepath)](https://nodejs.org/api/fs.html#fsexistssyncpath) — checks if the file exists on the specified path\n* [fs.lstatSync(filepath).isFile()](https://nodejs.org/api/fs.html#fslstatsyncpath-options) — checks if the object is a normal \"regular\" file (not a directory, link or other file type)\n* [path.extname(filepath)](https://nodejs.org/api/path.html#pathextnamepath) — extracts the extension from the filename\n* [path.basename(filepath)](https://nodejs.org/api/path.html#path_path_basename_path_ext) — extracts file name from the full path\n\n```javascript\nconst getJSFileNames = (paths) => {\n const result = [];\n // The opposite approach to pipeline\n // Here everything is executed at once in a heap without separating it into steps\n for (const filepath of paths) {\n // Extracting extension\n const extension = path.extname(filepath).toLowerCase();\n // If the path exists, this is the file, and it has a .js extension\n if (fs.existsSync(filepath) && fs.lstatSync(filepath).isFile() && extension === '.js') {\n // normalize the path and add to the resulting list\n result.push(path.basename(filepath.toLowerCase(), extension));\n }\n }\n\n return result;\n};\n\nconst names = getJSFileNames(['index.js', 'wop.JS', 'nonexists', 'node_modules']);\nconsole.log(names); // => [index, wop]\n```\n\nThe example above is a common loop-based solution. His algorithm can be described as follows:\n\n1. Reviewing each path\n1. If the current path is an ordinary file with a `.js` extension (not case-sensitive), then add to the resulting array\n\nIf you try to do the same using the `reduce()` method, you will get the same code that is identical to the loop solution. But if you think carefully, you can see that this task breaks down into two: filtering and mapping.\n\n```javascript\nconst getJsFileNames = (paths) => paths\n // selecting files that actually exist\n .filter((filepath) => fs.existsSync(filepath))\n // selecting by file type\n .filter((filepath) => fs.lstatSync(filepath).isFile())\n // selecting by extension\n .filter((filepath) => path.extname(filepath).toLowerCase() === '.js')\n // mapping into names (we need an array of names)\n .map((filepath) => path.basename(filepath.toLowerCase(), '.js'));\n\nconst names = getJsFileNames(['index.js', 'wop.JS', 'nonexists', 'node_modules']);\nconsole.log(names); // => [index, wop]\n```\n\nThe code is slightly shorter (not including comments) and more expressive, but the main thing is not its size. As the number of operations and their complexity increase, code broken down in this way is much easier to read and analyze, since each operation is performed independently for the entire set at once. You have to keep fewer details in mind and you can immediately see how the operation affects all the data. However, learning how to break a task into subtasks is not as easy as it may seem, it takes some practice and skill before your code becomes digestible.\n\nNote that here the filtering is broken up into three steps, not done in one. Given the brevity of the function definition in js, it is much better to split the checks into a larger number of filters than to make one complex filter.\n\n\n\nThe very possibility of such a breakdown is based on a simple idea sometimes called \"standard interfaces\". It derives from the fact that both the function input and output should use the same kind of data, in this case an array. This allows you to connect functions and build chains that perform a large number of different tasks without having to implement new functions. 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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">JS: Functions</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: Signals</h1><script type="application/ld+json">{"@context":"https://schema.org","@type":"LearningResource","name":"Signals","inLanguage":"en","isPartOf":{"@type":"LearningResource","name":"JS: Functions"},"isAccessibleForFree":"False","hasPart":{"@type":"WebPageElement","isAccessibleForFree":"False","cssSelector":".paywalled"}}</script><div 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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 <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">sort()</code> method demonstrates well the importance and convenience of higher-order functions for everyday tasks. By describing the algorithm once, we can get different behaviors by specifying them right at the sorting location. The same applies 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">map()</code>, <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> 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">reduce()</code> methods discussed above.</p>
<p>When using higher-order functions, it is customary to divide the task into subtasks and perform them one after another, building them into a chain of operations. This resembles dragging data through a transformation pipeline.</p>
<p><a style="text-decoration:underline" class="mantine-focus-auto m_849cf0da m_b6d8b162 mantine-Text-root mantine-Anchor-root" data-underline="hover" href="https://www.amazon.com/Structure-Interpretation-Computer-Programs-Engineering/dp/0262510871/ref=sr_1_1?crid=X450GJT800R1&keywords=Structure+and+Interpretation+of+Computer+Programs&qid=1648740392&s=books&sprefix=structure+and+interpretation+of+computer+programs%2Cstripbooks-intl-ship%2C356&sr=1-1" rel="noopener noreferrer" target="_blank">The SICP</a> compares this approach to the way <a style="text-decoration:underline" class="mantine-focus-auto m_849cf0da m_b6d8b162 mantine-Text-root mantine-Anchor-root" data-underline="hover" href="https://en.wikipedia.org/wiki/Signal_processing" rel="noopener noreferrer" target="_blank">signals are processed</a> when designing electrical circuits. The current flowing through the circuit goes through a chain of transducers: filters, noise suppressors, amplifiers, and so on. The voltage (and the current it generates) here represents data, and the transducers play the role of functions.</p>
<p>This is the main way of working with collections in JavaScript. But loops are almost not used because of much less flexibility, more code (which is more error-prone), and difficulties in dividing a complex algorithm into independent steps.</p>
<p><img style="--image-object-fit:contain;width:auto" class="m_9e117634 mantine-Image-root" src="/rails/active_storage/blobs/proxy/eyJfcmFpbHMiOnsiZGF0YSI6NTc1NCwicHVyIjoiYmxvYl9pZCJ9fQ==--19874f2cd086bdb08537392876009669b19907c8/convertor.png" alt="Signal processing" loading="lazy"/></p>
<p>Suppose we write a function that takes a list of file system paths as input, finds files 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">.js</code> extension case insensitive among them, and returns the names of those files. To solve this problem, we need the following functions:</p>
<ul>
<li><a style="text-decoration:underline" class="mantine-focus-auto m_849cf0da m_b6d8b162 mantine-Text-root mantine-Anchor-root" data-underline="hover" href="https://nodejs.org/api/fs.html#fsexistssyncpath" rel="noopener noreferrer" target="_blank">fs.existsSync(filepath)</a> — checks if the file exists on the specified path</li>
<li><a style="text-decoration:underline" class="mantine-focus-auto m_849cf0da m_b6d8b162 mantine-Text-root mantine-Anchor-root" data-underline="hover" href="https://nodejs.org/api/fs.html#fslstatsyncpath-options" rel="noopener noreferrer" target="_blank">fs.lstatSync(filepath).isFile()</a> — checks if the object is a normal "regular" file (not a directory, link or other file type)</li>
<li><a style="text-decoration:underline" class="mantine-focus-auto m_849cf0da m_b6d8b162 mantine-Text-root mantine-Anchor-root" data-underline="hover" href="https://nodejs.org/api/path.html#pathextnamepath" rel="noopener noreferrer" target="_blank">path.extname(filepath)</a> — extracts the extension from the filename</li>
<li><a style="text-decoration:underline" class="mantine-focus-auto m_849cf0da m_b6d8b162 mantine-Text-root mantine-Anchor-root" data-underline="hover" href="https://nodejs.org/api/path.html#path_path_basename_path_ext" rel="noopener noreferrer" target="_blank">path.basename(filepath)</a> — extracts file name from the full path</li>
</ul>
<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">const getJSFileNames = (paths) => {
const result = [];
// The opposite approach to pipeline
// Here everything is executed at once in a heap without separating it into steps
for (const filepath of paths) {
// Extracting extension
const extension = path.extname(filepath).toLowerCase();
// If the path exists, this is the file, and it has a .js extension
if (fs.existsSync(filepath) && fs.lstatSync(filepath).isFile() && extension === '.js') {
// normalize the path and add to the resulting list
result.push(path.basename(filepath.toLowerCase(), extension));
}
}
return result;
};
const names = getJSFileNames(['index.js', 'wop.JS', 'nonexists', 'node_modules']);
console.log(names); // => [index, wop]</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 example above is a common loop-based solution. His algorithm can be described as follows:</p>
<ol>
<li>Reviewing each path</li>
<li>If the current path is an ordinary file with 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">.js</code> extension (not case-sensitive), then add to the resulting array</li>
</ol>
<p>If you try to do the same 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">reduce()</code> method, you will get the same code that is identical to the loop solution. But if you think carefully, you can see that this task breaks down into two: filtering and mapping.</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">const getJsFileNames = (paths) => paths
// selecting files that actually exist
.filter((filepath) => fs.existsSync(filepath))
// selecting by file type
.filter((filepath) => fs.lstatSync(filepath).isFile())
// selecting by extension
.filter((filepath) => path.extname(filepath).toLowerCase() === '.js')
// mapping into names (we need an array of names)
.map((filepath) => path.basename(filepath.toLowerCase(), '.js'));
const names = getJsFileNames(['index.js', 'wop.JS', 'nonexists', 'node_modules']);
console.log(names); // => [index, wop]</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 is slightly shorter (not including comments) and more expressive, but the main thing is not its size. As the number of operations and their complexity increase, code broken down in this way is much easier to read and analyze, since each operation is performed independently for the entire set at once. You have to keep fewer details in mind and you can immediately see how the operation affects all the data. However, learning how to break a task into subtasks is not as easy as it may seem, it takes some practice and skill before your code becomes digestible.</p>
<p>Note that here the filtering is broken up into three steps, not done in one. Given the brevity of the function definition in js, it is much better to split the checks into a larger number of filters than to make one complex filter.</p>
<p><img style="--image-object-fit:contain;width:auto" class="m_9e117634 mantine-Image-root" src="/rails/active_storage/blobs/proxy/eyJfcmFpbHMiOnsiZGF0YSI6NTc1NSwicHVyIjoiYmxvYl9pZCJ9fQ==--fff400c184750b925c517e781c8244d4b92202e2/legos.jpg" alt="Standard Interfaces" loading="lazy"/></p>
<p>The very possibility of such a breakdown is based on a simple idea sometimes called "standard interfaces". It derives from the fact that both the function input and output should use the same kind of data, in this case an array. This allows you to connect functions and build chains that perform a large number of different tasks without having to implement new functions. The previously discussed operations - mapping, filtering, and aggregation - combine to solve the vast majority of collection processing tasks. We've all encountered something similar in our lives when assembling Lego constructors. A small number of primitive parts due to the same connections allows you to build structures of almost unlimited complexity.</p>
<p>In fact, such chains frequently end with aggregation, because aggregation reduces the collection to some final value.</p>
<h2 id="heading-2-1">Performance</h2>
<p>The performance considerations were left out of the picture. Some of you may have guessed that for every call to a function that handles a collection, we traverse the entire list. The more such functions, the more traversing done. It would seem that the code slows down, so why do that? In practice, extra traversing is rarely a problem (see "The Mature Optimization Handbook"). Tasks that require simultaneous processing of tens or hundreds of thousands of elements are extremely rare. Most operations are performed on lists of up to thousands of items. And for a list like this, one traversing more or one less makes no difference.</p>
<p>But that's not the whole truth. There are special collections that do not perform operations at once when filtering, displaying, etc. are called. They accumulate the necessary actions, and during the first use, they do everything at once in one traversing. 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