I am trying to round down numbers using PHP.
I have managed to do this if the value has a decimal place, using this method below.
$val = floor($val * 2) / 2;
echo 'hello'. $val;
If the value I am trying to round down doesn't have a decimal place and the above code is not working.
The values I am trying to round down.
32456 => 32000
4567 => 4000
38999 => 38000
There are a few ways to do this. The most common way (for rounding down to the nearest 1000) would be something like this:
function roundDown1000($n)
{
return floor($n / 1000) * 1000;
}
More generally:
function roundDown($n, $increment)
{
return floor($n / $increment) * $increment;
}
If you wanted, you could also do $n - ($n % 1000), but this will get weird results for $n < 0.
Related
$num=621;
echo round(round(621,-2));
Something like this (returns the closest $multiple not less than the given $number):
function round_up($num, $mul) {
return ceil($num / $mul) * $mul;
}
Called like this:
echo round_up(621, 100);
> 700
Works for "weird" quantities, too:
echo round_up(124.53, 0.25);
> 124.75
echo round_up(pi(), 1/7);
> 3.1428571428571
If you want to specify decimal places instead of multiples, you could use the power operator ** to convert decimal places to multiples.
You could do round_down in a similar way using floor.
I think you are trying to round off a number to the nearest 100.
Simply do this by using the ceil function.
ceil(621 / 100) * 100;
You can use ceil function to round any number to its nearest number.
$number = ceil($inputNumber / $nearestNumber) * $nearestNumber;
As an option, subtract the reminder and add 100:
function ceil100($value) {
return $value - $value % 100 + 100;
}
My answer is $numero = $numero + 100 - $numero % 100;
php > $numero = 621;
php > $numero = $numero + 100 - $numero % 100;
php > echo $numero;
700
I have more than 200 entries in a database table and I would like to generate a random value for each entry, but in the end, the sum of entries values must equal 100. Is it possible to do this using a for loop and rand() in PHP?
You could simply normalize a set of numbers, like:
$numbers = array();
for ($i = 0; $i < 200; $i += 1) {
$numbers[] = rand();
}
$sum = array_sum($numbers);
// divide $sum by the target sum, to have an instant result, e.g.:
// $sum = array_sum($numbers) / 100;
// $sum = array_sum($numbers) / 42;
// ...
$numbers = array_map(function ($n) use($sum) {
return $n / $sum;
}, $numbers);
print_r($numbers);
print_r(array_sum($numbers)); // ~ 1
demo: http://codepad.viper-7.com/RDOIvX
The solution for your problem is to rand number from 0 to 200 then put in array, then sum the values and divide it by 200 after that. Loop through elements and divide every element by result of previous equatation it will give you the answer
$sum = 0;
$max = 100; //max value to be sumed
$nr_of_records = 200; // number of records that should sum to $max
$arr = array();
for($i=0;$i<$nr_of_records;++$i)
{
$arr[$i] = rand(0,$max);
}
$div = array_sum($arr) / $max;
for($i=0;$i<$nr_of_records;++$i)
{
$arr[$i] /= $div;
echo $arr[$i].'<br>';
}
echo array_sum($arr);
Created living example
How exact has the 100 to be? Just curious, because all hints end at using floating point values, which tend to be inacurate.
I'd propose using fractions... lets say 10000 fractions, each count 1/100 point (10000 * 1/100 = 100 points). Distribute 10000 points to 200 elements, using integers - and be absolutely sure, that the sum of all integers divided by 10000 is 100. There is no need for floats, just think around the corner...
Do a little over/under:
$size = 200;
$sum = 100;
$places = 3;
$base = round($sum/$size, $places);
$values = array_fill(0, $size, $base);
for($i=0; $i<$size; $i+=2) {
$diff = round((rand()/getrandmax()) * $base, $places);
$values[$i] += $diff;
$values[$i+1] -= $diff;
}
//optional: array_shuffle($values);
$sum = 0;
foreach($values as $item) {
printf("%0.3f ", $item);
$sum += $item;
}
echo $sum;
Output:
0.650 0.350 0.649 0.351 0.911 0.089 0.678 0.322 0.566 0.434 0.563 0.437 0.933 0.067 0.505 0.495 0.503 0.497 0.752 0.248 0.957 0.043 0.856 0.144 0.977 0.023 0.863 0.137 0.766 0.234 0.653 0.347 0.770 0.230 0.888 0.112 0.637 0.363 0.716 0.284 0.891 0.109 0.549 0.451 0.629 0.371 0.501 0.499 0.652 0.348 0.729 0.271 0.957 0.043 0.769 0.231 0.767 0.233 0.513 0.487 0.647 0.353 0.612 0.388 0.509 0.491 0.925 0.075 0.797 0.203 0.799 0.201 0.588 0.412 0.788 0.212 0.693 0.307 0.688 0.312 0.847 0.153 0.903 0.097 0.843 0.157 0.801 0.199 0.538 0.462 0.954 0.046 0.541 0.459 0.893 0.107 0.592 0.408 0.913 0.087 0.711 0.289 0.679 0.321 0.816 0.184 0.781 0.219 0.632 0.368 0.839 0.161 0.568 0.432 0.914 0.086 0.991 0.009 0.979 0.021 0.666 0.334 0.678 0.322 0.705 0.295 0.683 0.317 0.869 0.131 0.837 0.163 0.792 0.208 0.618 0.382 0.606 0.394 0.574 0.426 0.927 0.073 0.661 0.339 0.986 0.014 0.759 0.241 0.547 0.453 0.804 0.196 0.681 0.319 0.960 0.040 0.708 0.292 0.558 0.442 0.605 0.395 0.986 0.014 0.621 0.379 0.992 0.008 0.622 0.378 0.937 0.063 0.884 0.116 0.840 0.160 0.607 0.393 0.765 0.235 0.632 0.368 0.898 0.102 0.946 0.054 0.794 0.206 0.561 0.439 0.801 0.199 0.770 0.230 0.843 0.157 0.681 0.319 0.794 0.206 100
The rounding gets a bit squiffy if you're not using nice numbers like 100 and 200, but never more than 0.1 off.
Original question yesterday had exactly 200 entries and the sum "not greater than 100".
My original answer from yesterday:
Use random numbers not greater than 0.5 to be sure.
Alternatively, depending on how "random" those numbers need to be (how
much correlation is allowed), you could keep a running total, and if
it gets disproportionately high, you can mix in a bunch of smaller
values.
Edit:
Way to go changing the question, making me look stupid and get downvoted.
To get the exact sum you have to normalize, and better use exact fractions instead of floats to avoid rounding errors.
I have a project which uses php's mt_rand() to generate different random integers but I have recently gained access to a stream of real random bits. I am having trouble figuring out how to create a function similar to mt_rand(), where I can get a random integer between two values, from my stream of bits. How can I achieve this?
I would just read PHP_INT_SIZE * 8 bits and squash the resulting number in the range you need:
function squash($nr, $min, $max)
{
return $min + $nr % ($max - $min);
}
Another way:
function squash($nr, $min, $max)
{
return $min + round($nr / PHP_INT_MAX * ($max - $min));
}
This just occurred to me, why not just use your random stream and push it into mt_srand():
function squash($nr, $min, $max)
{
mt_srand($nr);
return mt_rand($min, $max);
}
I have come up with a method but not sure if its the most efficient way in terms of bits used (code is untested, just demonstrating theory):
function RandomInteger($min, $max)
{
$range = ($max - $min) + 1;
$bitsNeeded = ceil( log($range, 2) );
$number = ReadBitsAndConvertToInteger($bitsNeeded);
if ($number < $range)
return $number + $min;
else if ($number > $range)
return RandomInteger($min, $max);
}
As you can see, there will be a chance the function is repeated, which means more bits will be used, thats why I'm not sure if its the most efficent way, in terms of bits used, to do it.
Pr(repeat) = (2^bitsNeeded - range) / (2^bitsNeeded)
Therefore, 0 < Pr(repeat) < 0.5
So in the worst case that the chance of having to repeat is almost 0.5, it starts to get quite unlikely that it would need to be repeated more than 10 or so times, with the average being just under 2 times. Obviously at lower chances of having to repeat , these numbers get lower.
I know ceil, which will round 15.1 to 16 and 31.2 to 32.
But how to round up to the next x20 number? like 15.1 to 20 and 31,2 to 40?
Is needed to make sensefull labels for the y-axis of a chart.
Try this (works in JavaScript):
$result = 20 * ceil($input / 20);
Here, we're rounding to 20. To round to other numbers, simply replace 20 with whatever base you want. The documentation for ceil() can be found here.
A function that does the same:
function roundTo($value, $base)
{
return $base * ceil($value / $base);
}
As a small aside, if you want to round to the nearest base, instead of rounding up, use round() instead of ceil().
divide by 20 and use ceil, then multiply by 20
Or you could use modulus:
echo round($a + 20 - ($a % 20));
If you want "mid-range" values to round more, you can use the following.
function roundTo($n,$i = 1){
$r = $n % $i;
$d = round(($n - $r * $i) / $i);
return $r * $i + $d * $i;
}
for ($a = 0; $a < 100; $a++){
printf("%d = %d\r\n", $a, ceil2($a, 20));
}
The above produces:
Number: Rounded To:
0-10 0
11-30 20
31-50 40
etc.
This more closely simulates how 1.3=1 but 1.5=2.
you can use this
ceil(x/2)*2
Is there any slick way to round down to the nearest significant figure in php?
So:
0->0
9->9
10->10
17->10
77->70
114->100
745->700
1200->1000
?
$numbers = array(1, 9, 14, 53, 112, 725, 1001, 1200);
foreach($numbers as $number) {
printf('%d => %d'
, $number
, $number - $number % pow(10, floor(log10($number)))
);
echo "\n";
}
Unfortunately this fails horribly when $number is 0, but it does produce the expected result for positive integers. And it is a math-only solution.
Here's a pure math solution. This is also a more flexible solution if you ever wanted to round up or down, and not just down. And it works on 0 :)
if($num === 0) return 0;
$digits = (int)(log10($num));
$num = (pow(10, $digits)) * floor($num/(pow(10, $digits)));
You could replace floor with round or ceil. Actually, if you wanted to round to the nearest, you could simplify the third line even more.
$num = round($num, -$digits);
If you do want to have a mathy solution, try this:
function floorToFirst($int) {
if (0 === $int) return 0;
$nearest = pow(10, floor(log($int, 10)));
return floor($int / $nearest) * $nearest;
}
Something like this:
$str = (string)$value;
echo (int)($str[0] . str_repeat('0', strlen($str) - 1));
It's totally non-mathy, but I would just do this utilizing sting length... there's probably a smoother way to handle it but you could acomplish it with
function significant($number){
$digits = count($number);
if($digits >= 2){
$newNumber = substr($number,0,1);
$digits--;
for($i = 0; $i < $digits; $i++){
$newNumber = $newNumber . "0";
}
}
return $newNumber;
}
A math based alternative:
$mod = pow(10, intval(round(log10($value) - 0.5)));
$answer = ((int)($value / $mod)) * $mod;
I know this is an old thread but I read it when looking for inspiration on how to solve this problem. Here's what I came up with:
class Math
{
public static function round($number, $numberOfSigFigs = 1)
{
// If the number is 0 return 0
if ($number == 0) {
return 0;
}
// Deal with negative numbers
if ($number < 0) {
$number = -$number;
return -Math::sigFigRound($number, $numberOfSigFigs);
}
return Math::sigFigRound($number, $numberOfSigFigs);
}
private static function sigFigRound($number, $numberOfSigFigs)
{
// Log the number passed
$log = log10($number);
// Round $log down to determine the integer part of the log
$logIntegerPart = floor($log);
// Subtract the integer part from the log itself to determine the fractional part of the log
$logFractionalPart = $log - $logIntegerPart;
// Calculate the value of 10 raised to the power of $logFractionalPart
$value = pow(10, $logFractionalPart);
// Round $value to specified number of significant figures
$value = round($value, $numberOfSigFigs - 1);
// Return the correct value
return $value * pow(10, $logIntegerPart);
}
}
While the functions here worked, I needed significant digits for very small numbers (comparing low-value cryptocurrency to bitcoin).
The answer at Format number to N significant digits in PHP worked, somewhat, though very small numbers are displayed by PHP in scientific notation, which makes them hard for some people to read.
I tried using number_format, though that needs a specific number of digits after the decimal, which broke the 'significant' part of the number (if a set number is entered) and sometimes returned 0 (for numbers smaller than the set number).
The solution was to modify the function to identify really small numbers and then use number_format on them - taking the number of scientific notation digits as the number of digits for number_format:
function roundRate($rate, $digits)
{
$mod = pow(10, intval(round(log10($rate))));
$mod = $mod / pow(10, $digits);
$answer = ((int)($rate / $mod)) * $mod;
$small = strstr($answer,"-");
if($small)
{
$answer = number_format($answer,str_replace("-","",$small));
}
return $answer;
}
This function retains the significant digits as well as presents the numbers in easy-to-read format for everyone. (I know, it is not the best for scientific people nor even the most consistently length 'pretty' looking numbers, but it is overall the best solution for what we needed.)