Random float number between 0 and 1.0 php [duplicate] - php

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Closed 10 years ago.
Possible Duplicate:
Random Float in php
Is it possible to create a random float number between 0 and 1.0 e.g 0.4, 0.8 etc.
I used rand but it only accepts integers.

mt_rand() / mt_getrandmax();
Avoid the rand() function, since it usually depends on the platform's C rand() implementation, generally creating numbers with a very simple pattern. See this comment on php.net
Update: In php 7.1 the rand()has been changed and is now merely an alias of mt_rand(). Therefore it is now ok to use rand(), too.

What about simply dividing by 10?
$randomFloat = rand(0, 10) / 10;
var_dump($randomFloat);
//eg. float(0.7)

$v = mt_rand() / mt_getrandmax();
will do that.
In case you want only one decimal place (as in the examples from the question) just round() the value you get...
$v = round( $v, 1 );
...or calculate a number between 0 and 10 and divide by 10:
$v = mt_rand( 0, 10 ) / 10;

According to the PHP documentation, if you're using PHP 7 you can generate a cryptographically secure pseudorandom integer using random_int
With that said, here's a function that utilizes this to generate a random float between two numbers:
function random_float($min, $max) {
return random_int($min, $max - 1) + (random_int(0, PHP_INT_MAX - 1) / PHP_INT_MAX );
}
Although random_int() is more secure than mt_rand(), keep in mind that it's also slower.
A previous version of this answer suggested you use PHP rand(), and had a horrible implementation. I wanted to change my answer without repeating what others had already stated, and now here we are.

how about this simple solution:
abs(1-mt_rand()/mt_rand())
or
/**
* Generate Float Random Number
*
* #param float $Min Minimal value
* #param float $Max Maximal value
* #param int $round The optional number of decimal digits to round to. default 0 means not round
* #return float Random float value
*/
function float_rand($Min, $Max, $round=0){
//validate input
if ($min>$Max) { $min=$Max; $max=$Min; }
else { $min=$Min; $max=$Max; }
$randomfloat = $min + mt_rand() / mt_getrandmax() * ($max - $min);
if($round>0)
$randomfloat = round($randomfloat,$round);
return $randomfloat;
}

Try this
// Generates and prints 100 random number between 0.0 and 1.0
$max = 1.0;
$min = 0.0;
for ($i = 0; $i < 100; ++$i)
{
print ("<br>");
$range = $max - $min;
$num = $min + $range * (mt_rand() / mt_getrandmax());
$num = round($num, 2);
print ((float) $num);
}

Cast to float* and divide by getrandmax().
* It seems that the cast is unnecessary in PHP's arbitrary type-juggling rules. It would be in other languages, though.

Related

What's the most efficient way of randomly picking a floating number within a specific range? [duplicate]

How does one generate a random float between 0 and 1 in PHP?
I'm looking for the PHP's equivalent to Java's Math.random().
You may use the standard function: lcg_value().
Here's another function given on the rand() docs:
// auxiliary function
// returns random number with flat distribution from 0 to 1
function random_0_1()
{
return (float)rand() / (float)getrandmax();
}
Example from documentation :
function random_float ($min,$max) {
return ($min+lcg_value()*(abs($max-$min)));
}
rand(0,1000)/1000 returns:
0.348 0.716 0.251 0.459 0.893 0.867 0.058 0.955 0.644 0.246 0.292
or use a bigger number if you want more digits after decimal point
class SomeHelper
{
/**
* Generate random float number.
*
* #param float|int $min
* #param float|int $max
* #return float
*/
public static function rand($min = 0, $max = 1)
{
return ($min + ($max - $min) * (mt_rand() / mt_getrandmax()));
}
}
update:
forget this answer it doesnt work wit php -v > 5.3
What about
floatVal('0.'.rand(1, 9));
?
this works perfect for me, and it´s not only for 0 - 1 for example between 1.0 - 15.0
floatVal(rand(1, 15).'.'.rand(1, 9));
function mt_rand_float($min, $max, $countZero = '0') {
$countZero = +('1'.$countZero);
$min = floor($min*$countZero);
$max = floor($max*$countZero);
$rand = mt_rand($min, $max) / $countZero;
return $rand;
}
example:
echo mt_rand_float(0, 1);
result: 0.2
echo mt_rand_float(3.2, 3.23, '000');
result: 3.219
echo mt_rand_float(1, 5, '00');
result: 4.52
echo mt_rand_float(0.56789, 1, '00');
result: 0.69
$random_number = rand(1,10).".".rand(1,9);
function frand($min, $max, $decimals = 0) {
$scale = pow(10, $decimals);
return mt_rand($min * $scale, $max * $scale) / $scale;
}
echo "frand(0, 10, 2) = " . frand(0, 10, 2) . "\n";
This question asks for a value from 0 to 1. For most mathematical purposes this is usually invalid albeit to the smallest possible degree. The standard distribution by convention is 0 >= N < 1. You should consider if you really want something inclusive of 1.
Many things that do this absent minded have a one in a couple billion result of an anomalous result. This becomes obvious if you think about performing the operation backwards.
(int)(random_float() * 10) would return a value from 0 to 9 with an equal chance of each value. If in one in a billion times it can return 1 then very rarely it will return 10 instead.
Some people would fix this after the fact (to decide that 10 should be 9). Multiplying it by 2 should give around a ~50% chance of 0 or 1 but will also have a ~0.000000000465% chance of returning a 2 like in Bender's dream.
Saying 0 to 1 as a float might be a bit like mistakenly saying 0 to 10 instead of 0 to 9 as ints when you want ten values starting at zero. In this case because of the broad range of possible float values then it's more like accidentally saying 0 to 1000000000 instead of 0 to 999999999.
With 64bit it's exceedingly rare to overflow but in this case some random functions are 32bit internally so it's not no implausible for that one in two and a half billion chance to occur.
The standard solutions would instead want to be like this:
mt_rand() / (getrandmax() + 1)
There can also be small usually insignificant differences in distribution, for example between 0 to 9 then you might find 0 is slightly more likely than 9 due to precision but this will typically be in the billionth or so and is not as severe as the above issue because the above issue can produce an invalid unexpected out of bounds figure for a calculation that would otherwise be flawless.
Java's Math.random will also never produce a value of 1. Some of this comes from that it is a mouthful to explain specifically what it does. It returns a value from 0 to less than one. It's Zeno's arrow, it never reaches 1. This isn't something someone would conventionally say. Instead people tend to say between 0 and 1 or from 0 to 1 but those are false.
This is somewhat a source of amusement in bug reports. For example, any PHP code using lcg_value without consideration for this may glitch approximately one in a couple billion times if it holds true to its documentation but that makes it painfully difficult to faithfully reproduce.
This kind of off by one error is one of the common sources of "Just turn it off and on again." issues typically encountered in embedded devices.
Solution for PHP 7. Generates random number in [0,1). i.e. includes 0 and excludes 1.
function random_float() {
return random_int(0, 2**53-1) / (2**53);
}
Thanks to Nommyde in the comments for pointing out my bug.
>>> number_format((2**53-1)/2**53,100)
=> "0.9999999999999998889776975374843459576368331909179687500000000000000000000000000000000000000000000000"
>>> number_format((2**53)/(2**53+1),100)
=> "1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
Most answers are using mt_rand. However, mt_getrandmax() usually returns only 2147483647. That means you only have 31 bits of information, while a double has a mantissa with 52 bits, which means there is a density of at least 2^53 for the numbers between 0 and 1.
This more complicated approach will get you a finer distribution:
function rand_754_01() {
// Generate 64 random bits (8 bytes)
$entropy = openssl_random_pseudo_bytes(8);
// Create a string of 12 '0' bits and 52 '1' bits.
$x = 0x000FFFFFFFFFFFFF;
$first12 = pack("Q", $x);
// Set the first 12 bits to 0 in the random string.
$y = $entropy & $first12;
// Now set the first 12 bits to be 0[exponent], where exponent is randomly chosen between 1 and 1022.
// Here $e has a probability of 0.5 to be 1022, 0.25 to be 1021, etc.
$e = 1022;
while($e > 1) {
if(mt_rand(0,1) == 0) {
break;
} else {
--$e;
}
}
// Pack the exponent properly (add four '0' bits behind it and 49 more in front)
$z = "\0\0\0\0\0\0" . pack("S", $e << 4);
// Now convert to a double.
return unpack("d", $y | $z)[1];
}
Please note that the above code only works on 64-bit machines with a Litte-Endian byte order and Intel-style IEEE754 representation. (x64-compatible computers will have this). Unfortunately PHP does not allow bit-shifting past int32-sized boundaries, so you have to write a separate function for Big-Endian.
You should replace this line:
$z = "\0\0\0\0\0\0" . pack("S", $e << 4);
with its big-endian counterpart:
$z = pack("S", $e << 4) . "\0\0\0\0\0\0";
The difference is only notable when the function is called a large amount of times: 10^9 or more.
Testing if this works
It should be obvious that the mantissa follows a nice uniform distribution approximation, but it's less obvious that a sum of a large amount of such distributions (each with cumulatively halved chance and amplitude) is uniform.
Running:
function randomNumbers() {
$f = 0.0;
for($i = 0; $i < 1000000; ++$i) {
$f += \math::rand_754_01();
}
echo $f / 1000000;
}
Produces an output of 0.49999928273099 (or a similar number close to 0.5).
I found the answer on PHP.net
<?php
function randomFloat($min = 0, $max = 1) {
return $min + mt_rand() / mt_getrandmax() * ($max - $min);
}
var_dump(randomFloat());
var_dump(randomFloat(2, 20));
?>
float(0.91601131712832)
float(16.511210331931)
So you could do
randomFloat(0,1);
or simple
mt_rand() / mt_getrandmax() * 1;
what about:
echo (float)('0.' . rand(0,99999));
would probably work fine... hope it helps you.

How do you set precision of decimal when there is an "E" involved within the number? [duplicate]

This question already has answers here:
Convert a string containing a number in scientific notation to a double in PHP
(8 answers)
Closed 1 year ago.
I want to trim my decimal into something like 8.063 instead of the original which is 8.0638304611694E-9. I have implemented a function for it but it doesn't work when there is E-9 in it. Which part should I modify??
public function setPrecision($number, $decimals = 0)
{
$negation = ($number < 0) ? (-1) : 1;
$coefficient = 10 ** $decimals;
return $negation * floor((string)(abs($number) * $coefficient)) / $coefficient;
}
EDIT
The current implementation gave me 0 when I try to call the function.
setPrecision(8.0638304611694E-9, 3); // 0
In PHP, there are (at the moment of writing) 8519 builtin functions. One of them probably does the trick!
You could use log10() and round() in your function:
function setPrecision($number, $precision = 0)
{
$exponent = floor(log10($number)) - 1;
return round($number, -$exponent + $precision - 1);
}
Relative rounding with a certain number of digits can easily be done with sprintf.
$round = (float)sprintf('%0.3E', 8.0638304611694E-9);
var_dump($round); //float(8.064E-9)
On this basis I have this function which rounds float values with a certain relative decimal precision.
/*
* #return Float-Value with reduced precision
* #param $floatValue: input (float)
* #param $overallPrecision: 1..20 (default 10)
*/
function roundPrecision($floatValue, $overallPrecision = 10)
{
$p = min(20,max(0,$overallPrecision-1));
$f =(float)sprintf('%.'.$p.'e',$floatValue);
return $f;
}
example 1
$float = 0.0000123456789;
$newFloat = roundPrecision($float,5);
printf('%0.10f',$newFloat); //0.0000123460
example 2
$float = 3456.7891234;
$newFloat = roundPrecision($float,5);
printf('%0.10f',$newFloat); //3456.8000000000

Difference between rand(min, max) and rand()/getrandmax()

I saw some people trying to generate random numbers between a range of two numbers using just:
$random_num = rand($min, $max);
while I see other people using something more complicated like "Dividing rand() by the maximum random number, multiply it by the range and add the starting number:
$random_num = $min + ($max - $min) * (rand()/getrandmax());
where $min is the starting number and $max is the ending number.
I would like to know what is the difference between these two ways, is one better than the other, if so why?
Thanks
The former gives you an integer in the range:
$min = 1;
$max = 100;
echo rand($min, $max);
25
The latter gives you a float in the range:
echo $min + ($max - $min) * (rand()/getrandmax());
25.653779622937
Other than that, the only difference you need to be concerned with is that rand() is not considered sufficient for security purposes. If you need cryptographically strong (i.e., not predictable) random numbers, use random_int() or openssl_random_pseudo_bytes().

Random Float between 0 and 1 in PHP

How does one generate a random float between 0 and 1 in PHP?
I'm looking for the PHP's equivalent to Java's Math.random().
You may use the standard function: lcg_value().
Here's another function given on the rand() docs:
// auxiliary function
// returns random number with flat distribution from 0 to 1
function random_0_1()
{
return (float)rand() / (float)getrandmax();
}
Example from documentation :
function random_float ($min,$max) {
return ($min+lcg_value()*(abs($max-$min)));
}
rand(0,1000)/1000 returns:
0.348 0.716 0.251 0.459 0.893 0.867 0.058 0.955 0.644 0.246 0.292
or use a bigger number if you want more digits after decimal point
class SomeHelper
{
/**
* Generate random float number.
*
* #param float|int $min
* #param float|int $max
* #return float
*/
public static function rand($min = 0, $max = 1)
{
return ($min + ($max - $min) * (mt_rand() / mt_getrandmax()));
}
}
update:
forget this answer it doesnt work wit php -v > 5.3
What about
floatVal('0.'.rand(1, 9));
?
this works perfect for me, and it´s not only for 0 - 1 for example between 1.0 - 15.0
floatVal(rand(1, 15).'.'.rand(1, 9));
function mt_rand_float($min, $max, $countZero = '0') {
$countZero = +('1'.$countZero);
$min = floor($min*$countZero);
$max = floor($max*$countZero);
$rand = mt_rand($min, $max) / $countZero;
return $rand;
}
example:
echo mt_rand_float(0, 1);
result: 0.2
echo mt_rand_float(3.2, 3.23, '000');
result: 3.219
echo mt_rand_float(1, 5, '00');
result: 4.52
echo mt_rand_float(0.56789, 1, '00');
result: 0.69
$random_number = rand(1,10).".".rand(1,9);
function frand($min, $max, $decimals = 0) {
$scale = pow(10, $decimals);
return mt_rand($min * $scale, $max * $scale) / $scale;
}
echo "frand(0, 10, 2) = " . frand(0, 10, 2) . "\n";
This question asks for a value from 0 to 1. For most mathematical purposes this is usually invalid albeit to the smallest possible degree. The standard distribution by convention is 0 >= N < 1. You should consider if you really want something inclusive of 1.
Many things that do this absent minded have a one in a couple billion result of an anomalous result. This becomes obvious if you think about performing the operation backwards.
(int)(random_float() * 10) would return a value from 0 to 9 with an equal chance of each value. If in one in a billion times it can return 1 then very rarely it will return 10 instead.
Some people would fix this after the fact (to decide that 10 should be 9). Multiplying it by 2 should give around a ~50% chance of 0 or 1 but will also have a ~0.000000000465% chance of returning a 2 like in Bender's dream.
Saying 0 to 1 as a float might be a bit like mistakenly saying 0 to 10 instead of 0 to 9 as ints when you want ten values starting at zero. In this case because of the broad range of possible float values then it's more like accidentally saying 0 to 1000000000 instead of 0 to 999999999.
With 64bit it's exceedingly rare to overflow but in this case some random functions are 32bit internally so it's not no implausible for that one in two and a half billion chance to occur.
The standard solutions would instead want to be like this:
mt_rand() / (getrandmax() + 1)
There can also be small usually insignificant differences in distribution, for example between 0 to 9 then you might find 0 is slightly more likely than 9 due to precision but this will typically be in the billionth or so and is not as severe as the above issue because the above issue can produce an invalid unexpected out of bounds figure for a calculation that would otherwise be flawless.
Java's Math.random will also never produce a value of 1. Some of this comes from that it is a mouthful to explain specifically what it does. It returns a value from 0 to less than one. It's Zeno's arrow, it never reaches 1. This isn't something someone would conventionally say. Instead people tend to say between 0 and 1 or from 0 to 1 but those are false.
This is somewhat a source of amusement in bug reports. For example, any PHP code using lcg_value without consideration for this may glitch approximately one in a couple billion times if it holds true to its documentation but that makes it painfully difficult to faithfully reproduce.
This kind of off by one error is one of the common sources of "Just turn it off and on again." issues typically encountered in embedded devices.
Solution for PHP 7. Generates random number in [0,1). i.e. includes 0 and excludes 1.
function random_float() {
return random_int(0, 2**53-1) / (2**53);
}
Thanks to Nommyde in the comments for pointing out my bug.
>>> number_format((2**53-1)/2**53,100)
=> "0.9999999999999998889776975374843459576368331909179687500000000000000000000000000000000000000000000000"
>>> number_format((2**53)/(2**53+1),100)
=> "1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
Most answers are using mt_rand. However, mt_getrandmax() usually returns only 2147483647. That means you only have 31 bits of information, while a double has a mantissa with 52 bits, which means there is a density of at least 2^53 for the numbers between 0 and 1.
This more complicated approach will get you a finer distribution:
function rand_754_01() {
// Generate 64 random bits (8 bytes)
$entropy = openssl_random_pseudo_bytes(8);
// Create a string of 12 '0' bits and 52 '1' bits.
$x = 0x000FFFFFFFFFFFFF;
$first12 = pack("Q", $x);
// Set the first 12 bits to 0 in the random string.
$y = $entropy & $first12;
// Now set the first 12 bits to be 0[exponent], where exponent is randomly chosen between 1 and 1022.
// Here $e has a probability of 0.5 to be 1022, 0.25 to be 1021, etc.
$e = 1022;
while($e > 1) {
if(mt_rand(0,1) == 0) {
break;
} else {
--$e;
}
}
// Pack the exponent properly (add four '0' bits behind it and 49 more in front)
$z = "\0\0\0\0\0\0" . pack("S", $e << 4);
// Now convert to a double.
return unpack("d", $y | $z)[1];
}
Please note that the above code only works on 64-bit machines with a Litte-Endian byte order and Intel-style IEEE754 representation. (x64-compatible computers will have this). Unfortunately PHP does not allow bit-shifting past int32-sized boundaries, so you have to write a separate function for Big-Endian.
You should replace this line:
$z = "\0\0\0\0\0\0" . pack("S", $e << 4);
with its big-endian counterpart:
$z = pack("S", $e << 4) . "\0\0\0\0\0\0";
The difference is only notable when the function is called a large amount of times: 10^9 or more.
Testing if this works
It should be obvious that the mantissa follows a nice uniform distribution approximation, but it's less obvious that a sum of a large amount of such distributions (each with cumulatively halved chance and amplitude) is uniform.
Running:
function randomNumbers() {
$f = 0.0;
for($i = 0; $i < 1000000; ++$i) {
$f += \math::rand_754_01();
}
echo $f / 1000000;
}
Produces an output of 0.49999928273099 (or a similar number close to 0.5).
I found the answer on PHP.net
<?php
function randomFloat($min = 0, $max = 1) {
return $min + mt_rand() / mt_getrandmax() * ($max - $min);
}
var_dump(randomFloat());
var_dump(randomFloat(2, 20));
?>
float(0.91601131712832)
float(16.511210331931)
So you could do
randomFloat(0,1);
or simple
mt_rand() / mt_getrandmax() * 1;
what about:
echo (float)('0.' . rand(0,99999));
would probably work fine... hope it helps you.

Random number in range [min - max] using PHP

Is there a way to generate a random number based on a min and max?
For example, if min was 1 and max 20 it should generate any number between 1 and 20, including 1 and 20?
<?php
$min=1;
$max=20;
echo rand($min,$max);
?>
In a new PHP7 there is a finally a support for a cryptographically secure pseudo-random integers.
int random_int ( int $min , int $max )
random_int — Generates cryptographically secure pseudo-random integers
which basically makes previous answers obsolete.
A quicker faster version would use mt_rand:
$min=1;
$max=20;
echo mt_rand($min,$max);
Source: http://www.php.net/manual/en/function.mt-rand.php.
NOTE: Your server needs to have the Math PHP module enabled for this to work. If it doesn't, bug your host to enable it, or you have to use the normal (and slower) rand().
I have bundled the answers here and made it version independent;
function generateRandom($min = 1, $max = 20) {
if (function_exists('random_int')):
return random_int($min, $max); // more secure
elseif (function_exists('mt_rand')):
return mt_rand($min, $max); // faster
endif;
return rand($min, $max); // old
}
(rand() % ($max-$min)) + $min
or
rand ( $min , $max )
http://php.net/manual/en/function.rand.php
rand(1,20)
Docs for PHP's rand function are here:
http://php.net/manual/en/function.rand.php
Use the srand() function to set the random number generator's seed value.
Try This one. It will generate id according to your wish.
function id()
{
// add limit
$id_length = 20;
// add any character / digit
$alfa = "abcdefghijklmnopqrstuvwxyz1234567890";
$token = "";
for($i = 1; $i < $id_length; $i ++) {
// generate randomly within given character/digits
#$token .= $alfa[rand(1, strlen($alfa))];
}
return $token;
}

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