Two implementation examples of PHP binary search_PHP tutorial
php binary search example
Commonly used writing methods for binary search are recursive and non-recursive. When looking for the median, the interpolation method can be used instead of the median method.
When the data in the ordered array increases uniformly, the interpolation method can be used to reduce the algorithm complexity from lgN of the median method to lglgN
/**
* Binary search recursive solution
* @param type $subject
* @param type $start
* @param type $end
* @param type $key
* @return boolean
*/
function binarySearch_r($subject, $ start, $end, $key)
{
if ( $start >= $end ) return FALSE;
$mid = getMidKey($subject, $start, $end, $key);
if ( $subject[$mid] == $key ) return $mid;
if ( $key > $subject[$mid] ) {
return binarySearch($subject, $mid, $end, $key);
}
if ( $key return binarySearch($subject, $start, $mid, $key);
}
}
/**
* Non-recursive algorithm for binary search
* @param type $subject
* @param type $n
* @param type $key
*/
function binarySearch_nr($subject, $n, $key)
{
$low = 0;
$high = $n;
while ( $low $mid = getMidKey($subject, $low, $high, $key);
if ( $subject[$mid] == $key ) return $ mid;
if ( $subject[$mid] $low = $mid + 1;
}
if ( $subject[$mid] > $key ) {
$high = $mid - 1;
}
}
}
function getMidKey($subject, $low, $high, $key)
{
/ **
* Median algorithm 1 does not use the ($low+$high)/2 method to prevent overflow when low and high are large....
*/
//return round($low + ($high - $low) / 2);
/**
* The improved interpolation algorithm finds the median. When the numerical distribution is uniform, the algorithm complexity is reduced to lglgN
* Median algorithm 2
*/
return round( (($key - $subject[$low]) / ($subject[$high] - $subject[$low])*($high- $low) ) );
}

What’s still popular is the ease of use, flexibility and a strong ecosystem. 1) Ease of use and simple syntax make it the first choice for beginners. 2) Closely integrated with web development, excellent interaction with HTTP requests and database. 3) The huge ecosystem provides a wealth of tools and libraries. 4) Active community and open source nature adapts them to new needs and technology trends.

PHP and Python are both high-level programming languages that are widely used in web development, data processing and automation tasks. 1.PHP is often used to build dynamic websites and content management systems, while Python is often used to build web frameworks and data science. 2.PHP uses echo to output content, Python uses print. 3. Both support object-oriented programming, but the syntax and keywords are different. 4. PHP supports weak type conversion, while Python is more stringent. 5. PHP performance optimization includes using OPcache and asynchronous programming, while Python uses cProfile and asynchronous programming.

PHP is mainly procedural programming, but also supports object-oriented programming (OOP); Python supports a variety of paradigms, including OOP, functional and procedural programming. PHP is suitable for web development, and Python is suitable for a variety of applications such as data analysis and machine learning.

PHP originated in 1994 and was developed by RasmusLerdorf. It was originally used to track website visitors and gradually evolved into a server-side scripting language and was widely used in web development. Python was developed by Guidovan Rossum in the late 1980s and was first released in 1991. It emphasizes code readability and simplicity, and is suitable for scientific computing, data analysis and other fields.

PHP is suitable for web development and rapid prototyping, and Python is suitable for data science and machine learning. 1.PHP is used for dynamic web development, with simple syntax and suitable for rapid development. 2. Python has concise syntax, is suitable for multiple fields, and has a strong library ecosystem.

PHP remains important in the modernization process because it supports a large number of websites and applications and adapts to development needs through frameworks. 1.PHP7 improves performance and introduces new features. 2. Modern frameworks such as Laravel, Symfony and CodeIgniter simplify development and improve code quality. 3. Performance optimization and best practices further improve application efficiency.

PHPhassignificantlyimpactedwebdevelopmentandextendsbeyondit.1)ItpowersmajorplatformslikeWordPressandexcelsindatabaseinteractions.2)PHP'sadaptabilityallowsittoscaleforlargeapplicationsusingframeworkslikeLaravel.3)Beyondweb,PHPisusedincommand-linescrip

PHP type prompts to improve code quality and readability. 1) Scalar type tips: Since PHP7.0, basic data types are allowed to be specified in function parameters, such as int, float, etc. 2) Return type prompt: Ensure the consistency of the function return value type. 3) Union type prompt: Since PHP8.0, multiple types are allowed to be specified in function parameters or return values. 4) Nullable type prompt: Allows to include null values and handle functions that may return null values.


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