Does a "clamp" number function exist in PHP? - php

I wrote a function to "clamp" numbers in PHP, but I wonder if this function exists natively in the language.
I read PHP.net documentation in the math section, but I couldn't find it.
Basically what my function does is that it accepts a variable, an array of possible values, and a default value, this is my function's signature:
function clamp_number($value, $possible_values, $default_value)
If $value does not match any of the $possible_values then it defaults to $default_value
I think my function would be way faster if PHP already provides it natively because I'm using quite often in my program.

It seems as though you are just trying to find a number within a set. An actual clamp function will make sure a number is within 2 numbers (a lower bounds and upper bounds). So psudo code would be clamp(55, 1, 10) would produce 10 and clamp(-15, 1, 10) would produce 1 where clamp(7, 1, 10) would produce 7. I know you are looking for more of an in_array method but for those who get here from Google, here is how you can clamp in PHP without making a function (or by making this into a function).
max($min, min($max, $current))
For example:
$min = 1;
$max = 10;
$current = 55;
$clamped = max($min, min($max, $current));
// $clamped is now == 10
A simple clamp method would be:
function clamp($current, $min, $max) {
return max($min, min($max, $current));
}

$value = in_array($value, $possible_values) ? $value : $default_value;

I think is worth to know that...
https://wiki.php.net/rfc/clamp
Is approved and will exist in the core

Related

Pearson Correlation returns 0 on exact matchs

I am using this PHP routine to calc Pearson Correlation:
function correlation ($x,$y) {
$length = count($x);
$mean1 = array_sum($x)/$length;
$mean2 = array_sum($y)/$length;
$a = $b = 0;
$a2 = $b2 = 0;
$axb = 0;
for ($i = 0; $i < $length; $i++) {
$a = $x[$i]-$mean1;
$b = $y[$i]-$mean2;
$axb +=$a*$b;
$a2 += pow($a,2);
$b2 += pow($b,2);
}
if ($sqrt = sqrt($a2*$b2))
return $axb/$sqrt;
return 0;
}
When I test it for several conditions it returns 0 on exact matchs:
echo correlation([0,0,0,0,0],[0,0,0,0,0]); // Returns 0!!
echo correlation([0,0,0,0,0],[1,1,1,1,1]); // Returns 0!!
echo correlation([1,1,1,1,1],[1,1,1,1,1]); // Returns 0!!
echo correlation([0,0,0,0,0],[9,9,9,9,9]); // Returns 0!!
echo correlation([0,0,0,0,0],[0,1,2,3,4]); // Returns 0 OK
echo correlation([9,9,9,9,9],[0,1,2,3,4]); // Returns 0 OK
echo correlation([0,1,2,3,4],[0,1,2,3,4]); // Returns 1 OK
Why? and How to accomplish that? Thank you!
For info:
A Pearson correlation is a number between -1 and 1 that indicates the
extent to which two variables are linearly related. The Pearson
correlation is also known as the “product moment correlation
coefficient” (PMCC) or simply “correlation”.
Approach 1 (doing at your own):
Using PHP to statistics is a hard path.
First of all, as you're using a weak typed language (you don't need to specify the types on variables), the language can interpret as int so, you need to set all of your variables on type float and execute again to run this. You can have some problems with float in PHP, see here why I talking this: https://3v4l.org/1FU9J
But if you don't mind about high precision, you can modify your precision you can set your round() function or you can set ini_set('precision', 3); to get the precision on your data.
Another thing. If you need precision, you need to use bc extension because floating point in PHP is a problem and can affect your results.
Look more about bc math extension here: https://www.php.net/manual/en/book.bc.php or try to use another language.
Some references about the floating point:
https://www.leaseweb.com/labs/2013/06/the-php-floating-point-precision-is-wrong-by-default/
Problem with Floats! (in PHP)
Approach 2 (using language functions):
And, PHP have some functions to help in this. So, if this isn't a homework to learn or something like this, you can try this: https://www.php.net/manual/en/function.stats-stat-correlation.php

Implement an ERF function in PHP

I want to implement an ERF function in PHP. I got its formula from wikipedia
P_Value = 1- ( ERF ( ABS ( Residual –mean ) )/(√2*SD )
I didn't get the idea how to implement it in PHP.
Based on the formula you provided, only the ERF (Error function) part should look like this:
function ERF ($difference) {
return abs($difference);
}
Now call $value = ERF($residual - $mean); from anywhere inside a php script to store the ERF value in the $value variable.
Edit:
Let's assume you meant this formula:
So, it should be:
function ERF ($ll, $ul, $t, $dt, $dx) {
$val = 0;
for($i = $ll; $i <= $ul; $i+=$dx){
$val += exp(-pow($t,2)) * $dt;
}
return (2/sqrt(pi())) * $val;
}
now call, $value = ERF(0, $x, $t, $dt, $dx); where $x is the upper limit, $t is the time and $dt is the dt part of integration as in time interval.
Note: I've added another parameter $dx here because it is an integral for continuous domain and $dx, $dt both should be very close to 0 for better approximations. For discrete values, you can provide both $dx and $dt as 1. And that would rather be called summation than integral.
For better approximation on integration, see Numerical integration algorithms and techniques.
There are better ways to approximate the error function than by naive numerical integration. The Wikipedia article about erf has a formula for numerical approximation. You can probably find others in Abramowitz & Stegun "Handbook of Mathematical Functions" or maybe the Digital Library of Mathematical Functions.
I found an implementation in PHP here: http://php.net/manual/en/function.stats-stat-percentile.php (look for the term "error function" in the text). Not sure which formula this implements.

How to turn a hex id into a number between 0-100?

Simple but puzzling question:
Say I have a string "516e965a8fe4b". I want it to become a number 0-100. Since there's far more than 100 possibilities of having an alphanumeric hash like that, overlaps are fine.
How do I go about implementing this?
I would love to know why you want this. Anyways this is how I would do it.
Add the ASCII values of each number or letter.
Then make a MOD 101 of the number. (Modulus)
ID= Sum % 101
Use something like this. Add the hex value of the numbers and mod it to 100:
function findNumber($hash) {
$sum=0;
for($i=0;$i<length($hash);$i++) {
$sum+=hexdec($hash[$i]);
}
return $sum%100;
}
function getNumber($string){
$value = 0;
for ($i=0; $i < strlen($string); $i++)
$value += hexdec($string[$i]);
$value = (int)($value/((strlen($string)+.001)*15/100));
return $value;
}
well, i have an alternative approach which is even SAFER than the others, because the result can't be directly determined by the input.
function getNumber($hex, $min, $max){
srand(hexdec($num));
return rand($min, $max);
}
You'll have a number between $min and $max (0 and 100 respectively in your case) which will be always the same every time you run this function with the same inputs (it's deterministic even if it uses random functions!)

Unexpected round() return

I am trying to round down a number using PHP's round() function. Here is the code I am using:
$line_item_price = 13.775;
echo round($line_item_price, 2, PHP_ROUND_HALF_DOWN);
Now when I run the code like this I am hoping to get the output 13.77, except I am getting 0 (or nothing -- not sure which yet).
Now when I remove the PHP_ROUND_HALF_DOWN I get 13.78. Anyone see what I am doing wrong here? It seems like this should be working correctly.
The mode parameter was introduced in version 5.3, therefore it will not work for you. You'll have to find a custom function to do what you are looking for.
You are using a function that is not yet available in your current version of PHP. One way to solve this problem is using the floor function.
$line_item_price = 13.775;
echo floor($line_item_price * 100) / 100;
What I'm doing here is too first multiply the value with 100 and then floor the value. This will give you a rounded down value with the precision of 2. Then to get the correct value you need to devide with 100.
The number 100 comes from the power(10, desired precision)
can you not just do:
echo round($line_item_price, 2)
?
I'm not 100% sure but I think the ROUND_HALF_DOWN etc are for fractions such as 1.5, 2.5 and integers.
Here is a way to do it:
$num = 13.775;
$tmp = intval($num*1000);
$dec = $tmp % 10;
if ($dec > 5) {
$rounded = (1+intval($tmp/10))/100;
} else {
$rounded = intval($tmp/10)/100;
}
echo $rounded,"\n";
This gives : 13.77 for $num=13.775 and 13.78 for $num=13.776
Actually, I'm kind of surprised that it works at all, since the number 13.775 is not exactly representable in floating point:
$ php -r 'printf("%.40f\n", 13.775);'
13.7750000000000003552713678800500929355621
Indeed, it seems that round() is a bit lax about what counts as "half":
$ php -r 'echo round(13.77500000000001, 2, PHP_ROUND_HALF_DOWN) . "\n";'
13.77
Anyway, if your PHP doesn't support PHP_ROUND_HALF_DOWN, here's a simple kluge that gives approximately the same functionality:
function round_half_down ( $num, $digits ) {
$mul = pow( 10, $digits );
return ceil( $num * $mul - 0.5 ) / $mul;
}
This does turn out to work as one would naively expect, but is slightly stricter than round(): round_half_down(13.775, 2) == 13.77, but round_half_down(13.77500000000001, 2) == 13.78. Also, as a curious edge case, round_half_down(0.001, 2) returns -0. If you don't like that, you can always pass the return value through sprintf("%.{$digits}F") to format it nicely.

How to get a random value from 1~N but excluding several specific values in PHP?

rand(1,N) but excluding array(a,b,c,..),
is there already a built-in function that I don't know or do I have to implement it myself(how?) ?
UPDATE
The qualified solution should have gold performance whether the size of the excluded array is big or not.
No built-in function, but you could do this:
function randWithout($from, $to, array $exceptions) {
sort($exceptions); // lets us use break; in the foreach reliably
$number = rand($from, $to - count($exceptions)); // or mt_rand()
foreach ($exceptions as $exception) {
if ($number >= $exception) {
$number++; // make up for the gap
} else /*if ($number < $exception)*/ {
break;
}
}
return $number;
}
That's off the top of my head, so it could use polishing - but at least you can't end up in an infinite-loop scenario, even hypothetically.
Note: The function breaks if $exceptions exhausts your range - e.g. calling randWithout(1, 2, array(1,2)) or randWithout(1, 2, array(0,1,2,3)) will not yield anything sensible (obviously), but in that case, the returned number will be outside the $from-$to range, so it's easy to catch.
If $exceptions is guaranteed to be sorted already, sort($exceptions); can be removed.
Eye-candy: Somewhat minimalistic visualisation of the algorithm.
I don't think there's such a function built-in ; you'll probably have to code it yourself.
To code this, you have two solutions :
Use a loop, to call rand() or mt_rand() until it returns a correct value
which means calling rand() several times, in the worst case
but this should work OK if N is big, and you don't have many forbidden values.
Build an array that contains only legal values
And use array_rand to pick one value from it
which will work fine if N is small
Depending on exactly what you need, and why, this approach might be an interesting alternative.
$numbers = array_diff(range(1, N), array(a, b, c));
// Either (not a real answer, but could be useful, depending on your circumstances)
shuffle($numbers); // $numbers is now a randomly-sorted array containing all the numbers that interest you
// Or:
$x = $numbers[array_rand($numbers)]; // $x is now a random number selected from the set of numbers you're interested in
So, if you don't need to generate the set of potential numbers each time, but are generating the set once and then picking a bunch of random number from the same set, this could be a good way to go.
The simplest way...
<?php
function rand_except($min, $max, $excepting = array()) {
$num = mt_rand($min, $max);
return in_array($num, $excepting) ? rand_except($min, $max, $excepting) : $num;
}
?>
What you need to do is calculate an array of skipped locations so you can pick a random position in a continuous array of length M = N - #of exceptions and easily map it back to the original array with holes. This will require time and space equal to the skipped array. I don't know php from a hole in the ground so forgive the textual semi-psudo code example.
Make a new array Offset[] the same length as the Exceptions array.
in Offset[i] store the first index in the imagined non-holey array that would have skipped i elements in the original array.
Now to pick a random element. Select a random number, r, in 0..M the number of remaining elements.
Find i such that Offset[i] <= r < Offest[i+i] this is easy with a binary search
Return r + i
Now, that is just a sketch you will need to deal with the ends of the arrays and if things are indexed form 0 or 1 and all that jazz. If you are clever you can actually compute the Offset array on the fly from the original, it is a bit less clear that way though.
Maybe its too late for answer, but I found this piece of code somewhere in my mind when trying to get random data from Database based on random ID excluding some number.
$excludedData = array(); // This is your excluded number
$maxVal = $this->db->count_all_results("game_pertanyaan"); // Get the maximum number based on my database
$randomNum = rand(1, $maxVal); // Make first initiation, I think you can put this directly in the while > in_array paramater, seems working as well, it's up to you
while (in_array($randomNum, $excludedData)) {
$randomNum = rand(1, $maxVal);
}
$randomNum; //Your random number excluding some number you choose
This is the fastest & best performance way to do it :
$all = range($Min,$Max);
$diff = array_diff($all,$Exclude);
shuffle($diff );
$data = array_slice($diff,0,$quantity);

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