PHP multiplication decimals - php

I have a strange bug when multiplying decimals. When I multiply a decimal such as 2.1 by a number such as 2 (to get the product 4.2), PHP displays them identically, and, on comparison, shows them as equal. But when I multiply 2.1 by 7 (14.7), though PHP still displays them as equal, upon comparison it declares the products unequal.
Here's code illustrating the issue (note what PHP returns):
$num_1 = 4.2;
$num_2 = 2.1*2;
if($num_1 == $num_2){
$eq = "Equal";
}else{
$eq = "Unequal";
}
echo $num_1.", ".$num_2.", ".$eq."<br>";
// Returns 4.2, 4.2, Equal
$num_1 = 14.7;
$num_2 = 2.1*7;
if($num_1 == $num_2){
$eq = "Equal";
}else{
$eq = "Unequal";
}
echo $num_1.", ".$num_2.", ".$eq."<br>";
// Returns 14.7, 14.7, Unequal
Thanks.

The problem is that some floating point numbers can't be represented accurately. If you need to compare them, or a higher level of precision, use bcmul
$num_1 = 14.7;
$num_2 = bcmul(2.1, 7, 1);
if((string)$num_1 == $num_2){
$eq = "Equal";
}else{
$eq = "Unequal";
}
echo $num_1.", ".$num_2.", ".$eq."<br>";

I suggest you to use round().
$num_1 = round(14.7, 2);
$num_2 = round(2.1 * 7, 2);
echo ($num_1 == $num_2) ? 'equal' : 'uequal';
Now notice the result here what exactly occurred.
$num_1 = 14.7;
$num_2 = 2.1 * 7;
echo abs($num_1-$num_2); //Output: 1.7763568394003E-15

This is PHP, bro!
Just convert your floats to strings and compare them...
$num_1 = 14.7;
$num_2 = 2.1*7;
if((string) $num_1 == (string) $num_2){
$eq = "Equal";
}else{
$eq = "Unequal";
}
echo $num_1.", ".$num_2.", ".$eq."<br>";
Or use that bcmul as shown above...

Related

elseif value is less than getting value or greater than

I am trying to show echo 2 but its not working
$zipcode1 = 07300-011;
$zipcode= str_replace("-","",$zipcode1);
$zipcode = 07300011;
if ($zipcode >= 20000000 && $zipcode <= 26600999) {
echo '1';
}
elseif ($zipcode >= 07000001 && $zipcode <= 07399999) {
echo '2';
}
else {
echo 'no value';
}
Please let me know where i am doing wrong. Thank you for the help
Result = 2
You need to compare string with string if the leading 0 of the zipcode is important:
$zipcode1 = "07300-011";
$zipcode= str_replace("-","",$zipcode1);
$zipcode = "07300011";
if ($zipcode >= "20000000" && $zipcode <= "26600999") {
echo '1';
} elseif ($zipcode >= "07000001" && $zipcode <= "07399999") {
echo '2';
} else {
echo 'no value';
}
You made two mistakes.
One is that the value assigned to $zipcode1 is not a string, but rather the result of an arithmetic operation. I'm saying $zipcode1 is not "07300-011", but rather 07300-011, which is equal to the octal number 7300 (3776 in base 10) minus octal 11 (9 in base 10), i.e 3776 - 9 which is 3767.
The second is that you're trying to do a numeric comparison using strings. "20" > "1000" is not the same as 20 > 1000. The first would resolve to true, whereas the second would give false (which is likely what you want).
To fix this, you have to first convert both of them to numbers. You can either cast them:
((int) $zipcode1) > (int) $zipcode2
or you can use the + sign instead:
(+$zipcode1) > (+$zipcode2)
In both cases, you need to first remove whitespaces and every other non-numeric character from the zipcode.
$zipcode = str_replace([' ', '-'], '', $zipcode);
Read the following topics in the php docs for more info:
Numeric Strings
Comparison Operators

Round up decimal number for specific decimal places in PHP

I want to round up my variable if it's decimal larger than .3 and if it's lower or equal it will round down, for example if i have 1.34 it will round up to 2, if i have 1.29 it will round down to 1, and if i have 1.3 it will round down to 1. I don't know how to do this precisely, right now i'm using the round basic function like this:
$weight = $weight/1000;
if($weight < 1) $weight = 1;
else $weight = round($weight, 0, PHP_ROUND_HALF_DOWN);
If you manipulate the numbers a bit, you can figure out if the decimals are .3 or higher. You achieve this by flooring the value, and subtract that from the original value. Check if the result of that, multiplied by 10, is greater than 3. If it is, you've got something above x.3.
$number = 1.31;
$int = floor($number);
$float = $number-$int;
if ($float*10 > 3.1)
$result = ceil($number);
else
$result = $int;
echo $result; // 2
Live demo
I made you a little hack, here's the code
$weight = 5088;
$weight = $weight/1000;
if($weight < 1) {
$weight = 1;
} else {
// I get the last number (I treat the $weight as a string here)
$last_number = substr($weight, -1, 1);
// Then I get the precision (floating numbers)
$precision = strlen(substr(strrchr($weight, "."), 1));
// Then I convert it to a string so I can use some helpful string functions
$weight_str = (string) $weight;
// If the last number is less then 3
if ($last_number > 3)
// I change it to 9 I could just change it to 5 and it would work
// because round will round up if then number is 5 or greater
$weight_str[strlen($weight_str) -1] = 9;
}
}
// Then the round will round up if it's 9 or round down if it's 3 or less
$weight = round($weight_str, $precision);
echo $weight;
Maybe something like this function?
function roundImproved($value, $decimalBreakPart = 0.3) {
$whole = floor($value);
$decimal = $value - $whole;
$decimalPartLen = strlen($decimal) - 2;
return (number_format($decimal, $decimalPartLen) <= number_format($decimalBreakPart, $decimalPartLen) ? $whole : ceil($value));
}
Proof:
http://sandbox.onlinephpfunctions.com/code/d75858f175dd819de069a8a05611ac9e7053f07a
You can specify "break part" if you want.

PHP float comparison

I have the following PHP code in which I want to compare two decimal numbers. I have read in the PHP documentation that floating point numbers have limited precision.
$a = 0.0;
for ($i = 0; $i < 10; $i++) {
$a += 0.1;
}
var_dump($a);
echo gettype($a);
if ($a === 1.0) {
echo "IF";
} else {
echo "ELSE";
}
When I compare variable $a with 1.0, it always returns false, and the result will be 'ELSE'. My question is how I can get the code above working properly.
you can just do it this way:
//just a check if it is float, than round it to 1 decimal number and compare
if(is_float($a)){
echo 'not a float';
$a = round($a,1);
}
and output will be 'IF'
This question has been asked before, see Compare floats in PHP.
Basically you need to calculate the difference and see if it is small enough to be acceptable as "equal".
Try something like this:
$a = 0.0;
for ($i = 0; $i < 10; $i++) {
$a += 0.1;
$a=number_format($a,1);
//echo gettype($a);
//echo $a.'<br>';
if (floatval($a) === 1.0)
echo "IF";
else
echo "ELSE";
}
In order to make the comparison work I would truncate $a to one decimal place and format $a to a string with the required precision and compare it to "1.0".
To truncate $a I suggest reading this answer .
Or you can use $a as an integer. Them instead of incrementing by 0.1 use 1. And use 10 in the final comparison.

PHP math (numbering)

$temp is currently 6. But the variable result can be changing every time to a different number so it is not a fixed value.
Anyway, for this $temp * 1.1666666, the result will be 6.99999996. Since I used the floor function, it will be rounded down to 6.
Is there any way when the value is more then>*.49999 it will stay at *.5 instead of *?
Example: 6.51111111, 6.78948123, 6.9747124
Expected Output: 6.5
Example: 6.49999999, 6.12412431, 6.33452361
Expected Output: 6
Do note that, $temp value will be ever changing..thank you!
Use round($number, 1). That will round to the nearest decimal point.
$number = round(.1666666 * $temp, 1);
If you want to round to the nearest half you can do this:
function round_to_half($num)
{
if($num >= ($half = ($ceil = ceil($num))- 0.5) + 0.25) return $ceil;
else if($num < $half - 0.25) return floor($num);
else return $half;
}
$number = round_to_half(.1666666 * $temp);
Try this code...
<?php
$temp = 6.94444;
echo myRound($temp);
function myRound($temp)
{
$frac = $temp - floor($temp);
$frac = ($frac >= .5) ? .5 : 0;
return ( floor($temp) + $frac );
}
?>
Hope this is what you want.

PHP convert decimal into fraction and back?

I want the user to be able to type in a fraction like:
1/2
2 1/4
3
And convert it into its corresponding decimal, to be saved in MySQL, that way I can order by it and do other comparisons to it.
But I need to be able to convert the decimal back to a fraction when showing to the user
so basically I need a function that will convert fraction string to decimal:
fraction_to_decimal("2 1/4");// return 2.25
and a function that can convert a decimal to a faction string:
decimal_to_fraction(.5); // return "1/2"
How can I do this?
Sometimes you need to find a way to do it and rounding is acceptable. So if you decide what range of rounding works out for you you can build a function like this. To convert a decimal into the fraction that it most closely matches. You can extend the accuracy by adding more denominators to be tested.
function decToFraction($float) {
// 1/2, 1/4, 1/8, 1/16, 1/3 ,2/3, 3/4, 3/8, 5/8, 7/8, 3/16, 5/16, 7/16,
// 9/16, 11/16, 13/16, 15/16
$whole = floor ( $float );
$decimal = $float - $whole;
$leastCommonDenom = 48; // 16 * 3;
$denominators = array (2, 3, 4, 8, 16, 24, 48 );
$roundedDecimal = round ( $decimal * $leastCommonDenom ) / $leastCommonDenom;
if ($roundedDecimal == 0)
return $whole;
if ($roundedDecimal == 1)
return $whole + 1;
foreach ( $denominators as $d ) {
if ($roundedDecimal * $d == floor ( $roundedDecimal * $d )) {
$denom = $d;
break;
}
}
return ($whole == 0 ? '' : $whole) . " " . ($roundedDecimal * $denom) . "/" . $denom;
}
I think I'd store the string representation too, as, once you run the math, you're not getting it back!
And, here's a quick-n-dirty compute function, no guarantees:
$input = '1 1/2';
$fraction = array('whole' => 0);
preg_match('/^((?P<whole>\d+)(?=\s))?(\s*)?(?P<numerator>\d+)\/(?P<denominator>\d+)$/', $input, $fraction);
$result = $fraction['whole'] + $fraction['numerator']/$fraction['denominator'];
print_r($result);die;
Oh, for completeness, add a check to make sure $fraction['denominator'] != 0.
To can use PEAR's Math_Fraction class for some of your needs
<?php
include "Math/Fraction.php";
$fr = new Math_Fraction(1,2);
// print as a string
// output: 1/2
echo $fr->toString();
// print as float
// output: 0.5
echo $fr->toFloat();
?>
Here is a solution that first determines a valid fraction (although not necessarily the simplest fraction). So 0.05 -> 5/100. It then determines the greatest common divisor of the numerator and denominator to reduce it down to the simplest fraction, 1/20.
function decimal_to_fraction($fraction) {
$base = floor($fraction);
$fraction -= $base;
if( $fraction == 0 ) return $base;
list($ignore, $numerator) = preg_split('/\./', $fraction, 2);
$denominator = pow(10, strlen($numerator));
$gcd = gcd($numerator, $denominator);
$fraction = ($numerator / $gcd) . '/' . ($denominator / $gcd);
if( $base > 0 ) {
return $base . ' ' . $fraction;
} else {
return $fraction;
}
}
# Borrowed from: http://www.php.net/manual/en/function.gmp-gcd.php#69189
function gcd($a,$b) {
return ($a % $b) ? gcd($b,$a % $b) : $b;
}
This includes a pure PHP implementation of the gcd although if you are sure the gmp module is installed you could use the one that comes with gcd.
As many others have noted you need to use rational numbers. So if you convert 1/7 to a decimal then try to convert it back to a decimal you will be out of luck because the precision lost will prevent it from getting back to 1/7. For my purposes this is acceptable since all the numbers I am dealing with (standard measurements) are rational numbers anyway.
Buddies, can this help?
[]s
function toFraction($number) {
if (!is_int($number)) {
$number = floatval($number);
$denominator = round(1 / $number);
return "1/{$denominator}";
}
else {
return $number;
}
}
Little improvement on above, but keepin it simple.
function dec2frac($f) {
$base = floor($f);
if ($base) {
$out = $base . ' ';
$f = $f - $base;
}
if ($f != 0) {
$d = 1;
while (fmod($f, 1) != 0.0) {
$f *= 2;
$d *= 2;
}
$n = sprintf('%.0f', $f);
$d = sprintf('%.0f', $d);
$out .= $n . '/' . $d;
}
return $out;
}
An approach would be to retrieve the decimal value and multiply it by 2, 3, 4 and so on until you get an integer number.
However, I'd stick with the answer given by Derek. Guess what happens when a user inserts n/(n+1) with n high. Such an algorithm would have to scan all the numbers up to n+1.
Not to mention it is likely you'll end up with approximation problems.
You'll have to face a serious problem, because floats are not precise enough.
When you'll have to deal with 1.3333, PHP will make an estimate of this value... So you will never be able to convert it to 1 1/3.
It seems to be simple to overcome, but if you want your program to differentiate 1/7901 (~ 1,2656625743576762435134793064169e-4) with 1/7907 (~
1,2647021626406981155937776653598e-4) precisely... this will be a real hell !!
IMHO, if you want to deal with maths, you should rely on an external library... or try to make PHP communicate with Matlab.
If you want to know more, i suggest you dig in floating point problems... Starting with wikipedia.
A variation of Jir's approach could actually work if only a limited amount of denominators are used : multiply everything by the least common denominators (and round the result to discard any remaining decimals due to approximation).
I.e.: if you only have to deal with halfs, thrids and quarters, just multiply everything by 12.
And also if you know the common denominator, this should greatly reduce the search speed by knowing exactly which numbers to search instead of searching all n+1 possible.
If you have to deal with lots of unusual fractions, like 1/7, 1/13, etc. well, stick to Derek's solution and store the original value too.
The fraction to decimal is quite straightforward and there are lots of solutions. I'd go with trimming the string, replacing spaces with '+', and anything other than space,/,. or digits with '' then running it through 'eval'.
The decimal to fraction is virtually impossible to do correctly - not least because your decimal fraction would probably have to be converted to binary first - at which point you loose a lot of precision. As an academic exercise.....If you can live with the difference between 20976/41953 and 1/2 then you could try a fuzzy match for a predefined number of fractions:
(there's probably a neater way of implementing the same algorithm - but I'll leave that as an exercise for the reader).
define('DECIMAL_DIGITS',5);
function decimal_2_frac($inp_decimal)
{
static $fracs;
if (!is_array($fracs)) {
init_fracs($fracs);
}
$int_part=(integer)$inp_decimal;
$inp_decimal=$inp_decimal-$int_part;
$candidate='';
$distance=10;
foreach ($fracs as $decimal=>$frac) {
if (abs($decimal-$inp_decimal)<$distance) {
$candidate=$frac;
$distance=abs($decimal-$inp_decimal);
}
if (abs($decimal-$inp_decimal)>$distance) {
break;
}
}
return $int_part . ' ' . $candidate;
}
function init_fracs(&$fracs)
{
$fracs=array();
for ($x=2;$x<(5*DECIMAL_DIGITS);$x++) {
// there's probably a beter way to calculate the loop limit
for ($y=1; $y<$x; $y++) {
$decimal=round($y/$x,DECIMAL_DIGITS);
$frac="$x/$y";
if (!array_key_exists($decimal,$fracs)) {
$fracs[$decimal]=$frac;
}
}
}
}
But personally, I'd just store the original representation in a seperate field in the database.
function dec2frac($f)
{
$d = 1
while (fmod($f, 1) != 0.0) {
$f *= 2;
$d *= 2;
}
$n = sprintf('%.0f', $f);
$d = sprintf('%.0f', $d);
return array($n, $d);
}
Then $f == $n / $d
For example:
print_r(dec2frac(3.1415926));
Outputs:
Array
(
[0] => 3537118815677477 // $n
[1] => 1125899906842624 // $d
)
I made a blog post with a couple solutions for this, the most recent approach I took is:
http://www.carlosabundis.com/2014/03/25/converting-decimals-to-fractions-with-php-v2/
function dec2fracso($dec){
//Negative number flag.
$num=$dec;
if($num<0){
$neg=true;
}else{
$neg=false;
}
//Extracts 2 strings from input number
$decarr=explode('.',(string)$dec);
//Checks for divided by zero input.
if($decarr[1]==0){
$decarr[1]=1;
$fraccion[0]=$decarr[0];
$fraccion[1]=$decarr[1];
return $fraccion;
}
//Calculates the divisor before simplification.
$long=strlen($decarr[1]);
$div="1";
for($x=0;$x<$long;$x++){
$div.="0";
}
//Gets the greatest common divisor.
$x=(int)$decarr[1];
$y=(int)$div;
$gcd=gmp_strval(gmp_gcd($x,$y));
//Calculates the result and fills the array with the correct sign.
if($neg){
$fraccion[0]=((abs($decarr[0])*($y/$gcd))+($x/$gcd))*(-1);
}else{
$fraccion[0]=(abs($decarr[0])*($y/$gcd))+($x/$gcd);
}
$fraccion[1]=($y/$gcd);
return $fraccion;
}
Just adding a bit more logic to Derek's accepted answer - check for "division by zero" and whole number input check.
function fractionToDec($input) {
if (strpos($input, '/') === FALSE) {
$result = $input;
} else {
$fraction = array('whole' => 0);
preg_match('/^((?P<whole>\d+)(?=\s))?(\s*)?(?P<numerator>\d+)\/(?P<denominator>\d+)$/', $input, $fraction);
$result = $fraction['whole'];
if ($fraction['denominator'] > 0)
$result += $fraction['numerator'] / $fraction['denominator'];
}
return $result;
}
function frac2dec($fraction) {
list($whole, $fractional) = explode(' ', $fraction);
$type = empty($fractional) ? 'improper' : 'mixed';
list($numerator, $denominator) = explode('/', $type == 'improper' ? $whole : $fractional);
$decimal = $numerator / ( 0 == $denominator ? 1 : $denominator );
return $type == 'improper' ? $decimal : $whole + $decimal;
}
Use a 3rd party library, for example:
https://packagist.org/packages/phospr/fraction
Usage:
$fraction = Fraction::fromFloat(1.5);
echo "Fraction is: " . $fraction->getNumerator() . '/' . $fraction->getDenominator();
echo "Float is: " . $fraction->toFloat();
I usually do a quick search on https://packagist.org to see if something already exists to solve what I'm trying to do, if so then I can take advantage of the many hours that the community have already put into solving the problem (this will be much much more time than I'll be able to dedicate to it) and it will also be more likely to be bug free, having been battle tested by others and maybe even have a test suite covering it.
Saves time and results in higher quality.

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