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Apache-2.0\n\nCopyright (c) 2018 The Stdlib Authors.\n\nLicensed under the Apache License, Version 2.0 (the \"License\");\nyou may not use this file except in compliance with the License.\nYou may obtain a copy of the License at\n\n   http://www.apache.org/licenses/LICENSE-2.0\n\nUnless required by applicable law or agreed to in writing, software\ndistributed under the License is distributed on an \"AS IS\" BASIS,\nWITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\nSee the License for the specific language governing permissions and\nlimitations under the License.\n\n-->\n\n\n<details>\n  <summary>\n    About stdlib...\n  </summary>\n  <p>We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.</p>\n  <p>The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.</p>\n  <p>When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.</p>\n  <p>To join us in bringing numerical computing to the web, get started by checking us out on <a href=\"https://github.com/stdlib-js/stdlib\">GitHub</a>, and please consider <a href=\"https://opencollective.com/stdlib\">financially supporting stdlib</a>. We greatly appreciate your continued support!</p>\n</details>\n\n# EPS\n\n[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->\n\n> Difference between one and the smallest value greater than one that can be represented as a [double-precision floating-point number][ieee754].\n\n<section class=\"intro\">\n\n[Epsilon][machine-epsilon] is defined as\n\n<!-- <equation class=\"equation\" label=\"eq:epsilon_float64\" align=\"center\" raw=\"\\epsilon = b^{-(p-1)}\" alt=\"Epsilon for a double-precision floating-point number.\"> -->\n\n<div class=\"equation\" align=\"center\" data-raw-text=\"\\epsilon = b^{-(p-1)}\" data-equation=\"eq:epsilon_float64\">\n    <img src=\"https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@6e1cf583c4854b3d982f22f361f53a30c9f552dc/lib/node_modules/@stdlib/constants/float64/eps/docs/img/equation_epsilon_float64.svg\" alt=\"Epsilon for a double-precision floating-point number.\">\n    <br>\n</div>\n\n<!-- </equation> -->\n\nwhere `b` is the radix (base) and `p` is the precision (number of radix bits in the significand). For [double-precision floating-point numbers][ieee754], `b` is `2` and `p` is `53`.\n\n</section>\n\n<!-- /.intro -->\n\n<section class=\"installation\">\n\n## Installation\n\n```bash\nnpm install @stdlib/constants-float64-eps\n```\n\n</section>\n\n<section class=\"usage\">\n\n## Usage\n\n```javascript\nvar EPS = require( '@stdlib/constants-float64-eps' );\n```\n\n#### EPS\n\nDifference between one and the smallest value greater than one that can be represented as a [double-precision floating-point number][ieee754].\n\n```javascript\nvar bool = ( EPS === 2.220446049250313e-16 );\n// returns true\n```\n\n</section>\n\n<!-- /.usage -->\n\n<section class=\"examples\">\n\n## Examples\n\n<!-- eslint no-undef: \"error\" -->\n\n```javascript\nvar abs = require( '@stdlib/math-base-special-abs' );\nvar max = require( '@stdlib/math-base-special-max' );\nvar randu = require( '@stdlib/random-base-randu' );\nvar EPS = require( '@stdlib/constants-float64-eps' );\n\nvar bool;\nvar a;\nvar b;\nvar i;\n\nfunction isApprox( a, b ) {\n    var delta;\n    var tol;\n\n    delta = abs( a - b );\n    tol = EPS * max( abs( a ), abs( b ) );\n\n    return ( delta <= tol );\n}\n\nfor ( i = 0; i < 100; i++ ) {\n    a = randu() * 10.0;\n    b = a + (randu()*5.0e-15) - 2.5e-15;\n    bool = isApprox( a, b );\n    console.log( '%d %s approximately equal to %d. Delta: %d.', a, ( bool ) ? 'is' : 'is not', b, abs( a - b ) );\n}\n```\n\n</section>\n\n<!-- /.examples -->\n\n<!-- C interface documentation. -->\n\n* * *\n\n<section class=\"c\">\n\n## C APIs\n\n<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->\n\n<section class=\"intro\">\n\n</section>\n\n<!-- /.intro -->\n\n<!-- C usage documentation. -->\n\n<section class=\"usage\">\n\n### Usage\n\n```c\n#include \"stdlib/constants/float64/eps.h\"\n```\n\n#### STDLIB_CONSTANT_FLOAT64_EPS\n\nMacro for the difference between one and the smallest value greater than one that can be represented as a [double-precision floating-point number][ieee754].\n\n</section>\n\n<!-- /.usage -->\n\n<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n<section class=\"notes\">\n\n</section>\n\n<!-- /.notes -->\n\n<!-- C API usage examples. -->\n\n<section class=\"examples\">\n\n</section>\n\n<!-- /.examples -->\n\n</section>\n\n<!-- /.c -->\n\n<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->\n\n<section class=\"related\">\n\n* * *\n\n## See Also\n\n-   <span class=\"package-name\">[`@stdlib/constants-float32/eps`][@stdlib/constants/float32/eps]</span><span class=\"delimiter\">: </span><span class=\"description\">difference between one and the smallest value greater than one that can be represented as a single-precision floating-point number.</span>\n\n</section>\n\n<!-- /.related -->\n\n<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n\n<section class=\"main-repo\" >\n\n* * *\n\n## Notice\n\nThis package is part of [stdlib][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.\n\nFor more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].\n\n#### Community\n\n[![Chat][chat-image]][chat-url]\n\n---\n\n## License\n\nSee [LICENSE][stdlib-license].\n\n\n## Copyright\n\nCopyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].\n\n</section>\n\n<!-- /.stdlib -->\n\n<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n<section class=\"links\">\n\n[npm-image]: http://img.shields.io/npm/v/@stdlib/constants-float64-eps.svg\n[npm-url]: https://npmjs.org/package/@stdlib/constants-float64-eps\n\n[test-image]: https://github.com/stdlib-js/constants-float64-eps/actions/workflows/test.yml/badge.svg?branch=v0.2.3\n[test-url]: https://github.com/stdlib-js/constants-float64-eps/actions/workflows/test.yml?query=branch:v0.2.3\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/constants-float64-eps/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/constants-float64-eps?branch=main\n\n<!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/constants-float64-eps.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/constants-float64-eps/main\n\n-->\n\n[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg\n[chat-url]: https://stdlib.zulipchat.com\n\n[stdlib]: https://github.com/stdlib-js/stdlib\n\n[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors\n\n[umd]: https://github.com/umdjs/umd\n[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules\n\n[deno-url]: https://github.com/stdlib-js/constants-float64-eps/tree/deno\n[deno-readme]: https://github.com/stdlib-js/constants-float64-eps/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/constants-float64-eps/tree/umd\n[umd-readme]: https://github.com/stdlib-js/constants-float64-eps/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/constants-float64-eps/tree/esm\n[esm-readme]: https://github.com/stdlib-js/constants-float64-eps/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/constants-float64-eps/blob/main/branches.md\n\n[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/constants-float64-eps/main/LICENSE\n\n[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985\n\n[machine-epsilon]: https://en.wikipedia.org/wiki/Machine_epsilon\n\n<!-- <related-links> -->\n\n[@stdlib/constants/float32/eps]: https://www.npmjs.com/package/@stdlib/constants-float32-eps\n\n<!-- </related-links> -->\n\n</section>\n\n<!-- /.links -->\n","_attachments":{},"homepage":"https://stdlib.io","bugs":{"url":"https://github.com/stdlib-js/stdlib/issues"},"license":"Apache-2.0"}