Looking for opposite of pow() in PHP - php

I am working on mathematical problem where the formula is: A[i] * (-2) power of i
where i=0,1,2,3,...
A is an array having values 0 or 1
Input array: [0,1,1,0,0,1,0,1,1,1,0,1,0,1,1]
Output is: 5730
Code
$totalA = 0;
foreach ($A as $i => $a) {
$totalA += $a * pow(-2, $i);
}
This is correct. Now I am looking for its opposite like:
Input is: 5730
Output will be: [0,1,1,0,0,1,0,1,1,1,0,1,0,1,1]
I am not asking for the exact code but looking for some logic from where I should start. I tried to use log() method but that did not return the desired output.

You were not looking for exact code, but I found this problem too interesting. This works:
function sign($n) {
return ($n > 0) - ($n < 0);
}
$target = -2396;
$i = 0;
$currentSum = 0;
// Look for max $i
while (true) {
$val = pow(-2, $i);
$candidate = $currentSum + $val;
if (abs($target) <= abs($candidate)) {
// Found max $i
break;
}
if (abs($target - $candidate) < abs($target - $currentSum)) {
// We are getting closer
$currentSum = $candidate;
}
$i++;
}
$result = [];
for ($j = $i; 0 <= $j; $j--) {
$val = pow(-2, $j);
$border = $val / 4;
if (sign($val) == sign($target) && abs($border) < abs($target)) {
array_unshift($result, 1);
$target -= $val;
} else {
array_unshift($result, 0);
}
}
echo json_encode($result);
First I look for the $i that gets me on or slightly above the $target. When found, I walk down and decide for each bit if it should be in the result.

Related

How can I make radical function in php?

I was trying to make function that gives two value. First value was the respite in the radical and the second value is the number that we want to put it in radical.
It's my code:
function radical($respite = 2, $num)
{
$numbers = array();
for ($i = 1; $i < 10; $i++) {
$numbers[] = '0.' . "$i";
}
for ($i = 1; $i < 10; $i++) {
$numbers[] = '1.' . "$i";
}
// I wanted do these loop until to creat numbers from 0.1 to 100,
// but i under stand it's silly work and wrong.
for ($i = 0; $i < sizeof($numbers); $i++) {
if ($respite == 2) {
$hesan = $number["$i"] * $number["$i"];
if ($hesab == $num) {
return $hesab;
}
} elseif ($respite == 3) {
$hesan = $number["$i"] * $number["$i"] * $number["$i"];
if ($hesab == $num) {
return $hesab;
}
}
}
}
I tried to create numbers from 0.1 to 100. and I wanted write if $number[$i] * $number[$i] = $num return the $number, but I saw it's silly work and wrong my means create numbers from 0.1 to 100 by this way.
For radical(2, 9) the output should be 4, because 3 * 3 = 9.
If the first value is 3 radical(3, 8) the output should be 2, because 2 * 2 * 2= 8
Can someone make function to do radical with respite ? or improve my code ?
If you want to do this not as an exercise but for productive use, I suggest this:
function radical($num, $respite = 2)
{
return $num ** (1 / $respite);
}
echo radical(27, 3) . "\n" .
radical(8, 3) . "\n" .
radical(36, 2) . "\n" .
radical(16, 2);
Output:
3
2
6
4
You can see it here
The reason I changed the argument order is that you can't have a required parameter after an optional one.
Hope this is what you are looking for..
Try this code snippet here
function radical($respite = 2, $num)
{
for($x=0;$x<=10;$x+=0.1)
{
$numbers[]=$x;
}
for ($i = 0; $i < sizeof($numbers); $i++)
{
if ($respite == 2)
{
if ((string)($numbers[$i] * $numbers[$i]) == (string)$num)
{
return $numbers[$i];;
}
}
elseif ($respite == 3)
{
if ((string)($numbers[$i] * $numbers[$i]* $numbers[$i]) == (string)$num)
{
return $numbers[$i];
}
}
}
}
print_r(radical(3, 27));//3
print_r(radical(3, 8));//2
print_r(radical(2, 36));//6
print_r(radical(2, 16));//4
I'm not sure what you're going for exactly, but I think this cleans up what you have now at least:
function radical($num, $respite = 2) {
$numbers = array();
for ($i = 1; $i <= 1000; $i++) {
$numbers[] = $i * 0.1;
}
foreach($numbers as $i) {
if ($respite == 2) {
$hesab = $i * $i;
if ($hesab == $num) {
return $i;
}
}
elseif($respite == 3) {
$hesab = $i * $i * $i;
if ($hesab == $num) {
return $i;
}
}
}
return 0;
}

I need to find all amicable numbers up to a certain number

Here is my code:
$n = 300;
$set = 0;
$set2 = 0;
for($i = 1; $i<$n; $i++)
{
for($j = 1; $j <$i; $j++)
{
$qol = $i % $j;
if($qol == 0)
{
$set += $j;
}
}
for($s=1; $s<$set; $s++)
{
$qol2 = $set % $s;
if($s == 0)
{
$set2 += $s;
}
}
if($set2 == $i)
{
echo "$set and $i are amicable numbers</br>";
}
}
I do not know what the heck the problem is!
FYI: 220 and 284 are an example of amicable numbers. The sum of the proper divisors of one number are equal to other number and vice versa (wiki).
I am having troubles following your logic. In your code how would $set2 == $i ever be true? Seems to me that $i would always be greater.
I would do it the following way:
First make a separate function that finds the sums of the proper divisors:
// Function to output sum of proper divisors of $num
function sumDiv($num) {
// Return 0 if $num is 1 or less
if ($num <= 1) {
return 0;
}
$result = 1; // All nums divide by 1
$sqrt = sqrt($num);
// Add divisors to result
for ($i = 2; $i < $sqrt; $i++) {
if ($num % $i == 0) {
$result += $i + $num / $i;
}
}
// If perfect square add squareroot to result
if (floor($sqrt) == $sqrt) {
$result += $sqrt;
}
return $result;
}
Next check each iteration for a match:
$n = 1500;
for ($i = 1; $i < $n; $i++) {
// Get sum of proper devisors of $i, and sum of div. of result.
$currentDivs = sumDiv($i);
$resultDivs = sumDiv($currentDivs);
// Check for a match with sums not equal to each other.
if ($i == $resultDivs && $currentDivs != $resultDivs) {
echo "$i and $currentDivs are amicable numbers<br>";
}
}
Here a functioning phpfiddle.
Warning: Large numbers will take very long to process!

PHP Get Experience by Level

I have this piece of code that loops 1 through 99 and is a formula.
function getExperienceByLevel ($maxLevel)
{
$levels = array ();
$current = 0;
for ($i = 1; $i <= $maxLevel; $i++)
{
$levels[$i - 1] = floor ($current / 4);
$current += floor($i+300*pow(2, ($i/9.75)));
}
return $levels;
}
First you initiate it like so $aLevels = getExperienceByLevel(99); then to see how much EXP you need to get to level 6 you do this echo $aLevels[5]; since it's an array.
Now I'm trying to do reverse. Get Level by EXP.
function getLevelByExp($exp)
{
$myLevel = 0;
$aLevels = getExperienceByLevel(99);
for ($i = 1; $i < 100; $i++)
{
if ($exp > $aLevels[$i-1])
{
return $myLevel;
}
}
}
When called upon getLevelByExp(1124); or any number inside, it seems to return a zero. But it seems to work when you put echos inside that statement.
Like instead of return $myLevel do echo "You are up to level $i<br />"; and it will go all the way up to the current level you've gained EXP for.
But still.. doesn't work when I want to simply return a number.
This seems to work better than your function:
function getLevelByExp($exp)
{
$aLevels = getExperienceByLevel(99);
for ($i = 0; $i <= 99; ++$i)
{
//echo "cmp $exp >= aLevels[$i]={$aLevels[$i]}\n";
if ($exp <= $aLevels[$i])
return $i - 1;
}
return -1;
}
It needs improvement for the edge cases, such as when $exp is zero.
Return $i instead because it always '0'
if ($exp > $aLevels[$i-1]) {
return $i;
}
You never change $myLevel, so it will always stay at 0.
Try returning $i instead of $myLevel, as $i is actually changing:
function getLevelByExp($exp) {
$aLevels = getExperienceByLevel(99);
for ($i = 1; $i < 100; $i++) {
if ($exp > $aLevels[$i-1]) {
return $i;
}
}
}

Get number by loop on if - PHP

I have this piece of code that loops 1 through 99 and is a formula.
function getExperienceByLevel ($maxLevel)
{
$levels = array ();
$current = 0;
for ($i = 1; $i <= $maxLevel; $i++)
{
$levels[$i - 1] = floor ($current / 4);
$current += floor($i+300*pow(2, ($i/9.75)));
}
return $levels;
}
First you initiate it like so $aLevels = getExperienceByLevel(99); then to see how much EXP you need to get to level 6 you do this echo $aLevels[5]; since it's an array.
Now I'm trying to do reverse. Get Level by EXP.
function getLevelByExp($exp)
{
$aLevels = getExperienceByLevel(99);
for ($i = 1; $i < 100; $i++)
{
if ($exp > $aLevels[$i-1])
{
return $i;
}
}
}
So I try to do this:
$aLevels = getExperienceByLevel(99);
echo getLevelByExp(131);
When called upon getLevelByExp(131); or any number inside, it seems to return a 1 even though it should be 2 since Level 3 is 167 EXP and Level 2 is 80 EXP. Here's a reference image: http://i.imgur.com/gEYgu.png
function getLevelByExp($exp) {
$aLevels = getExperienceByLevel(99);
for ($i = 99; $i >= 1; $i--)
{
if ($exp > $aLevels[$i-1])
{
return $i;
}
}
}
You are returning as soon as $exp > $aLevels[$i-1]. On the first runthrough of your original loop, $aLevels[$i-1] = $aLevels[0] = 0, so it will always return right away for any non-negative $exp value.
You are doing two mistakes: You are indexing your levels array wrong. And you're checking it the wrong way. Use this:
http://codepad.viper-7.com/MGpOUu
function getExperienceByLevel($maxLevel) {
$levels = array ();
$current = 0;
for ($i = 1; $i <= $maxLevel; $i++) {
$levels[$i] = floor ($current / 4);
$current += floor($i+300*pow(2, ($i/9.75)));
}
return $levels;
}
function getLevelByExp($exp) {
$levels = getExperienceByLevel(99);
$current = 0;
foreach($levels as $level => $required) {
if($required>$exp)return $current;
$current = $level;
}
return $current;
}
echo getLevelByExp(131);
// returns 2
change
if ($exp > $aLevels[$i-1])
to
if ($exp > $aLevels[$i-1] && $exp < $aLevels[$i])
checked and it is working
working example http://codepad.viper-7.com/BjmHad
You need the opposite conditional, and to compare to the next level, so you can determine that a given exp level does not fit into any higher level. This code works for me:
if ($exp < $aLevels[$i])
{
return $i;
}
Nice and simple. Try it out: http://codepad.viper-7.com/FrjtHT
I think you should do it like
function getLevelByExp($exp)
{
$aLevels = getExperienceByLevel(99);
for ($i = 1; $i < count($aLevels); $i++)
{
if ($exp >= $aLevels[$i-1] && ($exp - $aLevels[$i-1] < $aLevels[$i] - $aLevels[$i-1]))
{
return $i;
}
}
}
Check out http://www.phpfiddle.org/main/code/paw-08f

Writing merge sort in PHP

I have tried to write a basic merge sort in PHP involving a small array, yet the problem is it takes about a minute or so to execute, and returns:
Fatal error: Allowed memory size of 536870912 bytes exhausted (tried
to allocate 35 bytes) in /Users/web/www/merge.php on line 39
Does anyone have an idea where the code might be going wrong (if at all)? I've been staring at this for a good hour now.
<?php
$array = array(8,1,2,5,6,7);
print_array($array);
merge_sort($array);
print_array($array);
function merge_sort(&$list){
if( count($list) <= 1 ){
return $list;
}
$left = array();
$right = array();
$middle = (int) ( count($list)/2 );
// Make left
for( $i=0; $i < $middle; $i++ ){
$left[] = $list[$i];
}
// Make right
for( $i = $middle; $i < count($list); $i++ ){
$right[] = $list[$i];
}
// Merge sort left & right
merge_sort($left);
merge_sort($right);
// Merge left & right
return merge($left, $right);
}
function merge(&$left, &$right){
$result = array();
while(count($left) > 0 || count(right) > 0){
if(count($left) > 0 && count(right) > 0){
if($left[0] <= $right[0]){
$result[] = array_shift($left);
} else {
$result[] = array_shift($right);
}
} elseif (count($left) > 0){
$result[] = array_shift($left);
} elseif (count($right) > 0){
$result[] = array_shift($right);
}
}
print_array($result);exit;
return $result;
}
function print_array($array){
echo "<pre>";
print_r($array);
echo "<br/>";
echo "</pre>";
}
?>
In your merge function, you call count on right instead of $right. PHP assumes this is a string constant (at least in 5.3.9) and when casted into an array that always has one element. So count(right) is always one, and you never exit the first merge.
Try this approach. Instead of shifting it, slice.
Also, for in while loop for the merge function, you need to do an and && comparison instead
of ||
function mergeSort($array)
{
if(count($array) == 1 )
{
return $array;
}
$mid = count($array) / 2;
$left = array_slice($array, 0, $mid);
$right = array_slice($array, $mid);
$left = mergeSort($left);
$right = mergeSort($right);
return merge($left, $right);
}
function merge($left, $right)
{
$res = array();
while (count($left) > 0 && count($right) > 0)
{
if($left[0] > $right[0])
{
$res[] = $right[0];
$right = array_slice($right , 1);
}
else
{
$res[] = $left[0];
$left = array_slice($left, 1);
}
}
while (count($left) > 0)
{
$res[] = $left[0];
$left = array_slice($left, 1);
}
while (count($right) > 0)
{
$res[] = $right[0];
$right = array_slice($right, 1);
}
return $res;
}
Have a look at this, the algorithm is already implemented, using array_push and array splice instead of just array_shift.
http://www.codecodex.com/wiki/Merge_sort#PHP
I implement merge sort this way
function mergeSort($Array)
{
$len = count($Array);
if($len==1){
return $Array;
}
$mid = (int)$len / 2;
$left = mergeSort(array_slice($Array, 0, $mid));
$right = mergeSort(array_slice($Array, $mid));
return merge($left, $right);
}
function merge($left, $right)
{
$combined = [];
$totalLeft = count($left);
$totalRight = count($right);
$rightIndex = $leftIndex=0;
while ($leftIndex < $totalLeft && $rightIndex < $totalRight) {
if ($left[$leftIndex] > $right[$rightIndex]) {
$combined[]=$right[$rightIndex];
$rightIndex++;
}else {
$combined[] =$left[$leftIndex];
$leftIndex++;
}
}
while($leftIndex<$totalLeft){
$combined[]=$left[$leftIndex];
$leftIndex++;
}
while ($rightIndex<$totalRight){
$combined[] =$right[$rightIndex];
$rightIndex++;
}
return $combined;
}
Here is the class in PHP to implement the Merge Sort -
<?php
class mergeSort{
public $arr;
public function __construct($arr){
$this->arr = $arr;
}
public function mSort($l,$r){
if($l===null || $r===null){
return false;
}
if ($l < $r)
{
// Same as ($l+$r)/2, but avoids overflow for large $l and $r
$m = $l+floor(($r-$l)/2);
// Sort first and second halves
$this->mSort($l, $m);
$this->mSort($m+1, $r);
$this->merge($l, $m, $r);
}
}
// Merges two subarrays of $this->arr[]. First subarray is $this->arr[$l..$m]. Second subarray is $this->arr[$m+1..$r]
public function merge($l, $m, $r)
{
if($l===null || $m===null || $r===null){
return false;
}
$n1 = $m - $l + 1;
$n2 = $r - $m;
/* create temp arrays */
$L=array();
$R=array();
/* Copy data to temp arrays $L[] and $R[] */
for ($i = 0; $i < $n1; $i++)
$L[$i] = $this->arr[$l + $i];
for ($j = 0; $j < $n2; $j++)
$R[$j] = $this->arr[$m + 1+ $j];
/* Merge the temp arrays back into $this->arr[$l..$r]*/
$i = 0; // Initial index of first subarray
$j = 0; // Initial index of second subarray
$k = $l; // Initial index of merged subarray
while ($i < $n1 && $j < $n2)
{
if($L[$i] <= $R[$j])
{
$this->arr[$k] = $L[$i];
$i++;
}
else
{
$this->arr[$k] = $R[$j];
$j++;
}
$k++;
}
/* Copy the remaining elements of $L[], if there are any */
while($i < $n1)
{
$this->arr[$k] = $L[$i];
$i++;
$k++;
}
/* Copy the remaining elements of $R[], if there are any */
while($j < $n2)
{
$this->arr[$k] = $R[$j];
$j++;
$k++;
}
}
}
$arr = array(38, 27, 43, 5, 9, 91, 12);
$obj = new mergeSort($arr);
$obj->mSort(0,6);
print_r($obj->arr);
?>
I was looking for a optimized Mergesort algorithm in PHP. There are 5 algorithms in the answers, so I tested those, and mine too. Using PHP 7.2.7, these are the times:
Sorting 1000 random numbers:
Avanche 1 0.0396 seconds
Avanche 2 0.0347 seconds
Kartik 0.0291 seconds
Kripa 0.0282 seconds
Samuel 0.0247 seconds
Mine 0.0144 seconds
Sorting 10 random numbers:
Avanche 1 0.000222 seconds
Kartik 0.000216 seconds
Kripa 0.000159 seconds
Avanche 2 0.000144 seconds
Samuel 0.000128 seconds
Mine 0.000098 seconds
So, although I encourage to whom read it to make it faster (that was I was looking for, and I believe it can be done), I let you my implementation too, cause seems to be faster than the other answers:
//This function needs start and end limits
function mergeSortRec(&$a,$start,$end){
if($start<$end){
$center=($start+$end)>>1; //Binary right shift is like divide by 2
mergeSortRec($a, $start, $center);
mergeSortRec($a, $center+1, $end);
//Mixing the 2 halfs
$aux=array();
$left=$start; $right=$center;
//Main loop
while($left<$center && $right<=$end){
if($a[$left]<$a[$right]){
$aux[]=$a[$left++];
}else{
$aux[]=$a[$right++];
}
}
//Copy the rest of the first half
while($left<$center) $aux[]=$a[$left++];
//Copy the rest of the second half
while($right<=$end) $aux[]=$a[$right++];
//Copy the aux array to the main array
foreach($aux as $v) $a[$start++]=$v;
}
}
//This is the function easier to call
function mergeSort(&$a) {
mergeSortRec($a,0,count($a)-1);
}
If you post a new answer, let me a comment to test it and add it.
Edit: I did some new optimizations, for those looking for a better implementation.
Your merge sort accepts a list by reference
function merge_sort(&$list)
So you need to assign it the new merged and sorted list. So instead of
return merge($left, $right);
do
$list = $this->merge($left, $right);
That should do it, just remove the exit and fix the count variable
MergeSort in PHP
<?php
class Solution
{
function mergeSort(&$arr)
{
if(count($arr) > 1) {
$mid = floor(count($arr)/2);
$left = array_slice($arr, 0, $mid);
$right = array_slice($arr, $mid);
$this->mergeSort($left);
$this->mergeSort($right);
// Merge the results.
$i = $j = $k = 0;
while(($i < count($left)) && ($j < count($right))) {
if($left[$i] < $right[$j]) {
$arr[$k] = $left[$i];
$i++;
} else {
$arr[$k] = $right[$j];
$j++;
}
$k++;
}
while($i < count($left)) {
$arr[$k] = $left[$i];
$i++;
$k++;
}
while($j < count($right)) {
$arr[$k] = $right[$j];
$j++;
$k++;
}
}
}
}
$s = new Solution();
$tmp = [12, 7, 11, 13, 5, 6, 7];
$s->mergeSort($tmp);
print_r($tmp);

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