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The inverse complementary error function is defined as
where erf^{-1}(z)
is the inverse error function.
To use in Observable,
erfcinv = require( 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-erfcinv@umd/browser.js' )
To vendor stdlib functionality and avoid installing dependency trees for Node.js, you can use the UMD server build:
var erfcinv = require( 'path/to/vendor/umd/math-base-special-erfcinv/index.js' )
To include the bundle in a webpage,
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-erfcinv@umd/browser.js"></script>
If no recognized module system is present, access bundle contents via the global scope:
<script type="text/javascript">
(function () {
window.erfcinv;
})();
</script>
Evaluates the inverse complementary error function.
var y = erfcinv( 0.5 );
// returns ~0.4769
y = erfcinv( 0.8 );
// returns ~0.1791
y = erfcinv( 0.0 );
// returns Infinity
y = erfcinv( 2.0 );
// returns -Infinity
The domain of x
is restricted to [0,2]
. If x
is outside this interval, the function returns NaN
.
var y = erfcinv( -3.14 );
// returns NaN
If provided NaN
, the function returns NaN
.
var y = erfcinv( NaN );
// returns NaN
<!DOCTYPE html>
<html lang="en">
<body>
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/random-array-uniform@umd/browser.js"></script>
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/console-log-each-map@umd/browser.js"></script>
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-erfcinv@umd/browser.js"></script>
<script type="text/javascript">
(function () {
var opts = {
'dtype': 'float64'
};
var x = uniform( 100, 0.0, 2.0, opts );
logEachMap( 'x: %0.4f, erfcinv(x): %0.4f', x, erfcinv );
})();
</script>
</body>
</html>
@stdlib/math-base/special/erf
: error function.@stdlib/math-base/special/erfc
: complementary error function.@stdlib/math-base/special/erfinv
: inverse error function.@stdlib/math-base/special/erfcx
: scaled complementary error function.
This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.
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