So, I need to create the following functions but my head can't think of any possibility in PHP without complicated math.
Round always up to the nearest decimal (1.81 = 1.90, 1.89 = 1.90, 1.85 = 1.90)
Round always down to the nearest decimal (1.81 = 1.80, 1.89 = 1.80, 1.85 = 1.80)
Round always up to the nearest x.25 / x.50 / x.75 / x.00 (1.81 = 2, 1.32 = 1.50)
Round always down to the nearest x.25 / x.50 / x.75 / x.00 (1.81 = 1.75, 1.32 = 1.25)
Round always up to the nearest x.50 / 1 (1.23 = 1.50, 1.83 = 2)
Round always down to the nearest x.50 / 1 (1.23 = 1, 1.83 = 1.50)
I have searched on Google for 2 hours now and the only things that came up were Excel forums. Is it possible with some simple lines of PHP?
Since you're looking for fourths (.00, .25, .50, .75), multiply your number by 4, round to nearest whole number as desired (floor if down, ceil if up), then divide by 4.
1.32, down to nearest fourth:
1.32 * 4 = 5.28
floor(5.28) = 5.00
5.00 / 4 = 1.25
Same principle applies for any other fractions, such as thirds or eighths (.0, .125, .25, .375, .5, .625, .75, .875). For example:
1.77, up to nearest eighth:
1.77 * 8 = 14.16
ceil(14.16) = 15.00
15.00 / 8 = 1.875
Just for fun, you could write a function like this:
function floorToFraction($number, $denominator = 1)
{
$x = $number * $denominator;
$x = floor($x);
$x = $x / $denominator;
return $x;
}
echo floorToFraction(1.82); // 1
echo floorToFraction(1.82, 2); // 1.5
echo floorToFraction(1.82, 3); // 1.6666666666667
echo floorToFraction(1.82, 4); // 1.75
echo floorToFraction(1.82, 9); // 1.7777777777778
echo floorToFraction(1.82, 25); // 1.8
Please note that the answer isn't really water tight. Since we're dealing with floats here it's not guaranteed that when you divide the rounded number by the denominator it returns a neatly round number. It may return 1.499999999999 instead of 1.5. It's the nature of floating point numbers.
Another round is needed before returning the number from the function.
Just in case someone lands here from google like I did :)
According to the mround() function in Excel:
function MRound($num,$parts) {
$res = $num * $parts;
$res = round($res);
return $res /$parts;
}
echo MRound(-1.38,4);//gives -1.5
echo MRound(-1.37,4);//gives -1.25
echo MRound(1.38,4);//gives 1.5
echo MRound(1.37,4);//gives 1.25
Look at example #3 on here and it is half of your solution - http://php.net/manual/en/function.round.php
Related
How to extract the percentage from the array
The result is as follows: 41 - 16 - 8 - 33
Total is 98, not 100
How to make it = 100
$sum = array(500.36,200.32,100.09,400);
$total = array_sum($sum);
foreach($sum as $val){
$st = intval($val / $total * 100 );
echo $st.'<br>';
}
The reason is: precision :)
With intval() you skip the decimals. so 41+16+8+33 is REALLY 98.
If you add them with 2 decimals:
41.66 + 16.68 + 8.33 + 33.31 = 99.98
If you do round() instead of intval() you'll round the values so it'll be more close statistically. you'll get: 42 + 17 + 8 + 33 = 100
BUT! if you want to make sure the sum is 100, than you should pick one number (I suggest the biggest one) to calculate that as: 100 - sum(the rest).
Rounding!
Take the number 500.36;
500.36 / 1200.77 * 100:
41,669928463
Since you're using intval those deciamals are lost, remove intval to keep the decimals, then you'll reach 100 total.
Consider an extra variable to check this;
<?php
$sum = array(500.36,200.32,100.09,400);
$total = array_sum($sum);
$test = 0;
foreach($sum as $val){
$st = $val / $total * 100;
echo $st.'<br>';
$test += $st;
}
echo $test;
41.66992846257
16.682628646618
8.3354847306312
33.311958160181
100
Try it online!
you are using intval(). you should use round() with the precision of 2. you are skipping fractions by converting answer to integer. PHP is using floor method so your answer is losing fractions. here is the code
$sum = array(500.36,200.32,100.09,400);
$total = array_sum($sum);
foreach($sum as $val){
$st = round($val / $total * 100, 2 );
echo $st.'<br>';
}
If you make an intval to the result you cut the last values.
Without intval you can see the problem.
41.66992846257
16.682628646618
8.3354847306312
33.311958160181
So work with that numbers or round it on 2 decimal numbers.
$st = number_format($val / $total * 100, 2, '.', '');
something like this.
Searching for a function ro round numbers to the nearest multiple of 5
22 -> 20
23 -> 25
40 -> 40
46 -> 45
48 -> 50
and so on.
Tried this which always returns the higher value:
5 * ceil($n / 5);
Use round() instead of ceil().
5 * round($n / 5);
ceil() rounds a floating point number up to its next integer in sequence. round() will round to the nearest integer using standard rounding rules.
Back to maths, since round works with decimals, multiply by 5 and divide by 10 and then round, it. Multiply by 5 again to get what u want. (Other answer works as well, just a different way of looking at it)
function round_5($in)
{
return round(($in*2)/10)*5;
}
echo round_5(48);
See if this helps
Well, facing this issue while helping make an POS for a Canadian company, came up with this solution, hope it helps someone. (Canada removed the penny in 2012). Also includes for doing tax included pricing, just pass '1' as second argh.
//calculate price and tax
function calctax($amt,$tax_included = NULL){
$taxa = 'tax rate 1 here';
$taxb = 'tax rate 2 here';
$taxc = ($taxa + $taxb) + 1;
if(is_null($tax_included)){
$p = $amt;
}else{
$p = number_format(round($amt / $taxc,2),2);
}
$ta = round($p * $taxa,2);
$tb = round($p * $taxb,2);
$sp = number_format(round($p+($ta + $tb),2),2);
$tp = number_format(round(($sp*2)/10,2)*5,2);
$ret = array($ta,$tb,$tp);
return $ret;
}
Is it possible to round a number where if it's .5, just leave it, anything below .5 round down, anything above .5 round up?
For example:
5.0 * 1.35 = 6.75 // leave it
5.2 * 1.35 = 7.02 // round down to 7.00
5.5 * 1.35 = 7.56 // round up to 8.00
I've formatted with round($n,0, PHP_ROUND_HALF_UP) where $n is the product from the above calc , which leaves 6.75 but returns 7.02 for the next one. I also tried round($n,-1, PHP_ROUND_HALF_UP) which gives me the 7.00 on the second calc but then of course won't return a 6.75 for the first, instead it returns 680.
This is a ticket markup calculation where the user enters the first number and is multiplied by the second. I actually remove the decimal because they don't want to see it, and they want this sort of customized rounding on the result.
function myround($num, $prec) {
$rhu = round($num, $prec, PHP_ROUND_HALF_UP);
$rhd = round($num, $prec, PHP_ROUND_HALF_DOWN);
return ($rhu + $rhd) / 2;
}
Works for any precision you like. For hundreth's place, as in the example, $prec would need to be 2.
The only way to determine the value of the last non-zero digit of a given floating point number in PHP is to convert it to a string.
$str = (string) $float;
$result = ($str[strlen($str) - 1] == 5) ? $float : round($float);
Example
Of course, no matter what you do it will be subject to a small margin of error because of the floating point precision issue.
$n = round($n, 2);
if($n % .05 != 0 || $n % .1 == 0)
{
$n = round($n);
}
Does this work for you? I'm assuming the 5 you speak of is the hundredth digit, and if it's not 5 then you want a whole number.
my question is: is there a good (common) algorithm to create numbers, which match well looking user understood numbers out of incomming (kind of random looking for a user) numbers.
i.e. you have an interval from
130'777.12 - 542'441.17.
But for the user you want to display something more ...say userfriendly, like:
130'000 - 550'000.
how can you do this for several dimensions?
an other example would be:
23.07 - 103.50 to 20 - 150
do you understand what i mean?
i should give some criteria as well:
the interval min and max should
include the given limits.
the "rounding" should be in a
granularity which reflects the
distance between min and max (meaning
in our second example 20 - 200
would be too coarse)
very much honor you'll earn if you know a native php function which can do this :-)
*update - 2011-02-21 *
I like the answer from #Ivan and so accepted it. Here is my solution so far:
maybe you can do it better. i am open for any proposals ;-).
/**
* formats a given float number to a well readable number for human beings
* #author helle + ivan + greg
* #param float $number
* #param boolean $min regulates wheter its the min or max of an interval
* #return integer
*/
function pretty_number($number, $min){
$orig = $number;
$digit_count = floor(log($number,10))+1; //capture count of digits in number (ignoring decimals)
switch($digit_count){
case 0: $number = 0; break;
case 1:
case 2: $number = round($number/10) * 10; break;
default: $number = round($number, (-1*($digit_count -2 )) ); break;
}
//be sure to include the interval borders
if($min == true && $number > $orig){
return pretty_number($orig - pow(10, $digit_count-2)/2, true);
}
if($min == false && $number < $orig){
return pretty_number($orig + pow(10, $digit_count-2)/2, false);
}
return $number;
}
I would use Log10 to find how "long" the number is and then round it up or down. Here's a quick and dirty example.
echo prettyFloor(23.07);//20
echo " - ";
echo prettyCeil(103.50);//110
echo prettyFloor(130777.12);//130000
echo " - ";
echo prettyCeil(542441.17);//550000
function prettyFloor($n)
{
$l = floor(log(abs($n),10))-1; // $l = how many digits we will have to nullify :)
if ($l<=0)
$l++;
if ($l>0)
$n=$n/(pow(10,$l)); //moving decimal point $l positions to the left eg(if $l=2 1234 => 12.34 )
$n=floor($n);
if ($l>0)
$n=$n*(pow(10,$l)); //moving decimal point $l positions to the right eg(if $l=2 12.3 => 1230 )
return $n;
}
function prettyCeil($n)
{
$l = floor(log(abs($n),10))-1;
if ($l<=0)
$l++;
if ($l>0)
$n=$n/(pow(10,$l));
$n=ceil($n);
if ($l>0)
$n=$n*(pow(10,$l));
return $n;
}
This example unfortunately will not convert 130 to 150. As both 130 and 150 have the same precision. Even thou for us, humans 150 looks a bit "rounder". In order to achieve such result I would recommend to use quinary system instead of decimal.
You can use php's round function which takes a parameter to specify the precision.
<?php
echo round(3.4); // 3
echo round(3.5); // 4
echo round(3.6); // 4
echo round(3.6, 0); // 4
echo round(1.95583, 2); // 1.96
echo round(1241757, -3); // 1242000
echo round(5.045, 2); // 5.05
echo round(5.055, 2); // 5.06
?>
The number_format() function handles "prettifying" numbers with arbitrary thousands/decimal characters and decimal places, but you'd have to split your ranges/strings into individual numbers, as number_formation only works on one number at a time.
The rounding portion would have to handled seperately as well.
I haven't seen ready algorithm or function for that. But it should be simple, based on string replacement (str_replace, preg_replace), number_format and round functions.
This actually is kind of a special case, that can be addressed with the following function:
function roundto($val, $toceil=false) {
$precision=2; // try 1, 2, 5, 10
$pow = floor(log($val, 10));
$mult = pow(10, $pow);
$a = $val/$mult*$precision;
if (!$toceil) $a-=0.5; else $a+=0.5;
return round($a)/$precision*$mult;
}
$v0=130777.12; $v1=542441.17;
echo number_format(roundto($v0, false), 0, '.', "'").' - '
.number_format(roundto($v1, true), 0, '.', "'").'<br/>';
$v0=23.07; $v1=103.50;
echo number_format(roundto($v0, false), 0, '.', "'").' - '
.number_format(roundto($v1, true), 0, '.', "'").'<br/>';
Outputs exactly this:
100'000 - 550'000
20 - 150
For any other case of number formatting it might be interesting to have a look at my newly published PHP class "php-beautiful-numbers", which I use in almost ever project to display run times ("98.4 µs" [= 9.8437291615846E-5]) or numbers in running text (e.g. "you booked two flights." [= 2]).
https://github.com/SirDagen/php-beautiful-numbers
I'm creating this rating system using 5-edged stars. And I want the heading to include the average rating. So I've created stars showing 1/5ths. Using "1.2" I'll get a full star and one point on the next star and so on...
But I haven't found a good way to round up to the closest .2... I figured I could multiply by 10, then round of, and then run a switch to round 1 up to 2, 3 up to 4 and so on. But that seems tedious and unnecessary...
round(3.78 * 5) / 5 = 3.8
A flexible solution
function roundToNearestFraction( $number, $fractionAsDecimal )
{
$factor = 1 / $fractionAsDecimal;
return round( $number * $factor ) / $factor;
}
// Round to nearest fifth
echo roundToNearestFraction( 3.78, 1/5 );
// Round to nearest third
echo roundToNearestFraction( 3.78, 1/3 );
function round2($original) {
$times5 = $original * 5;
return round($times5) / 5;
}
So your total is 25, would it be possible to not use floats and use 1->25/25? That way there is less calculations needed... (if any at all)
Why is everyone giving solutions that require a deeper inspection or conversion? Want 0.2? Then:
round($n / 0.2) * 0.2; // $n = 3.78 / 0.2 = 18.9 (=) 19 * 0.2 = 3.8 //
Want 5? Then:
round($n / 5) * 5; // $n = 17 / 5 = 3.4 (=) 3 * 5 = 15 //
It's as simple as that.