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expm1

(PHP 4 >= 4.1.0, PHP 5, PHP 7, PHP 8)

expm1 Returns exp($num) - 1, computed in a way that is accurate even when the value of number is close to zero

Description

expm1(float $num): float

expm1() returns the equivalent to exp($num) - 1 computed in a way that is accurate even if the value of num is near zero, a case where exp($num) - 1 would be inaccurate due to subtraction of two numbers that are nearly equal.

Parameters

num

The argument to process

Return Values

e to the power of num, minus one.

See Also

  • log1p() - Returns log(1 + number), computed in a way that is accurate even when the value of number is close to zero
  • exp() - Calculates the exponent of e

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User Contributed Notes 2 notes

up
-1
brettz9 AAT yah
14 years ago
Note that exp(x)-1 can be approximated by x + x^2/2! + ... + x^n/n!  and for any value
up
-1
hagen at von-eitzen dot de
21 years ago
Compare this to log1p (which is its inverse).

Also, You may have to use a similar workaraound in case the underlying C library
does not support expm1:

<?php
function expm1($x) {
     return (
$x>-1.0e-6 && $x<1.0e-6) ? ($x + $x*$x/2) : (exp($x)-1);
}
?>
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