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About stdlib...

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cdiv

NPM version Build Status Coverage Status

Divide two double-precision complex floating-point numbers.

Usage

import cdiv from 'https://cdn.jsdelivr.net/gh/stdlib-js/complex-float64-base-div@esm/index.mjs';

cdiv( z1, z2 )

Divides two double-precision complex floating-point numbers.

import Complex128 from 'https://cdn.jsdelivr.net/gh/stdlib-js/complex-float64-ctor@esm/index.mjs';
import real from 'https://cdn.jsdelivr.net/gh/stdlib-js/complex-float64-real@esm/index.mjs';
import imag from 'https://cdn.jsdelivr.net/gh/stdlib-js/complex-float64-imag@esm/index.mjs';

var z1 = new Complex128( -13.0, -1.0 );
var z2 = new Complex128( -2.0, 1.0 );

var v = cdiv( z1, z2 );
// returns <Complex128>

var re = real( v );
// returns 5.0

var im = imag( v );
// returns 3.0

Examples

<!DOCTYPE html>
<html lang="en">
<body>
<script type="module">

import Complex128 from 'https://cdn.jsdelivr.net/gh/stdlib-js/complex-float64-ctor@esm/index.mjs';
import discreteUniform from 'https://cdn.jsdelivr.net/gh/stdlib-js/random-base-discrete-uniform@esm/index.mjs';
import real from 'https://cdn.jsdelivr.net/gh/stdlib-js/complex-float64-real@esm/index.mjs';
import imag from 'https://cdn.jsdelivr.net/gh/stdlib-js/complex-float64-imag@esm/index.mjs';
import cdiv from 'https://cdn.jsdelivr.net/gh/stdlib-js/complex-float64-base-div@esm/index.mjs';

function randomComplex() {
    var re = discreteUniform( -50, 50 );
    var im = discreteUniform( -50, 50 );
    return new Complex128( re, im );
}

var z1;
var z2;
var z3;
var i;
for ( i = 0; i < 100; i++ ) {
    z1 = randomComplex();
    z2 = randomComplex();
    z3 = cdiv( z1, z2 );
    console.log( '(%s) / (%s) = %s', z1.toString(), z2.toString(), z3.toString() );
}

</script>
</body>
</html>

References

  • Smith, Robert L. 1962. "Algorithm 116: Complex Division." Commun. ACM 5 (8). New York, NY, USA: ACM: 435. doi:10.1145/368637.368661.
  • Stewart, G. W. 1985. "A Note on Complex Division." ACM Trans. Math. Softw. 11 (3). New York, NY, USA: ACM: 238–41. doi:10.1145/214408.214414.
  • Priest, Douglas M. 2004. "Efficient Scaling for Complex Division." ACM Trans. Math. Softw. 30 (4). New York, NY, USA: ACM: 389–401. doi:10.1145/1039813.1039814.
  • Baudin, Michael, and Robert L. Smith. 2012. "A Robust Complex Division in Scilab." arXiv abs/1210.4539 [cs.MS] (October): 1–25. <https://arxiv.org/abs/1210.4539>.

See Also


Notice

This package is part of stdlib, a standard library 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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License

See LICENSE.

Copyright

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