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Stdlib Authors","url":"https://github.com/stdlib-js/stdlib/graphs/contributors"},"license":"Apache-2.0","homepage":"https://stdlib.io","keywords":["stdlib","stdmath","math","mathematics","frexp","floating-point","float64","float","double","dbl","normalized","normal","subnormal","denormalized","number","ieee754"],"repository":{"type":"git","url":"git://github.com/stdlib-js/math-base-special-frexp.git"},"description":"Split a double-precision floating-point number into a normalized fraction and an integer power of two.","contributors":[{"name":"The Stdlib Authors","url":"https://github.com/stdlib-js/stdlib/graphs/contributors"}],"maintainers":[{"name":"stdlib-bot","email":"kgryte+stdlibbot@gmail.com"},{"name":"kgryte","email":"kgryte@gmail.com"},{"name":"planeshifter","email":"pgb@andrew.cmu.edu"},{"name":"rreusser","email":"rsreusser@gmail.com"}],"readme":"<!--\n\n@license 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# frexp\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> Split a [double-precision floating-point number][ieee754] into a normalized fraction and an integer power of two.\n\n<section class=\"installation\">\n\n## Installation\n\n```bash\nnpm install @stdlib/math-base-special-frexp\n```\n\n</section>\n\n<section class=\"usage\">\n\n## Usage\n\n```javascript\nvar frexp = require( '@stdlib/math-base-special-frexp' );\n```\n\n#### frexp( x )\n\nSplits a [double-precision floating-point number][ieee754] into a normalized fraction and an integer power of two.\n\n```javascript\nvar out = frexp( 4.0 );\n// returns [ 0.5, 3 ]\n```\n\nBy default, the function returns the normalized fraction and the exponent as a two-element `array`. The normalized fraction and exponent satisfy the relation `x = frac * 2^exp`.\n\n```javascript\nvar pow = require( '@stdlib/math-base-special-pow' );\n\nvar x = 4.0;\nvar out = frexp( x );\n// returns [ 0.5, 3 ]\n\nvar frac = out[ 0 ];\nvar exp = out[ 1 ];\n\nvar bool = ( x === frac * pow(2.0, exp) );\n// returns true\n```\n\nIf provided positive or negative zero, `NaN`, or positive or negative `infinity`, the function returns a two-element `array` containing the input value and an exponent equal to `0`.\n\n```javascript\nvar out = frexp( 0.0 );\n// returns [ 0.0, 0 ]\n\nout = frexp( -0.0 );\n// returns [ -0.0, 0 ]\n\nout = frexp( NaN );\n// returns [ NaN, 0 ]\n\nout = frexp( Infinity );\n// returns [ Infinity, 0 ]\n\nout = frexp( -Infinity );\n// returns [ -Infinity, 0 ]\n```\n\nFor all other numeric input values, the [absolute value][@stdlib/math/base/special/abs] of the normalized fraction resides on the interval `[0.5,1)`.\n\n#### frexp.assign( x, out, stride, offset )\n\nSplits a [double-precision floating-point number][ieee754] into a normalized fraction and an integer power of two and assigns results to a provided output array.\n\n```javascript\nvar Float64Array = require( '@stdlib/array-float64' );\n\nvar out = new Float64Array( 2 );\n\nvar y = frexp.assign( 4.0, out, 1, 0 );\n// returns <Float64Array>[ 0.5, 3 ]\n\nvar bool = ( y === out );\n// returns true\n```\n\n</section>\n\n<!-- /.usage -->\n\n<section class=\"notes\">\n\n## Notes\n\n-   Care should be taken when reconstituting a [double-precision floating-point number][ieee754] from a normalized fraction and an exponent. For example,\n\n    ```javascript\n    var pow = require( '@stdlib/math-base-special-pow' );\n\n    var x = 8.988939926493918e+307; // x ~ 2^1023\n\n    var out = frexp( x );\n    // returns [ 0.5000263811533315, 1024 ]\n\n    // Naive reconstitution:\n    var y = out[ 0 ] * pow( 2.0, out[ 1 ] );\n    // returns Infinity\n\n    // Account for 2^1024 evaluating as infinity by recognizing 2^1024 = 2^1 * 2^1023:\n    y = out[ 0 ] * pow( 2.0, out[1]-1023 ) * pow( 2.0, 1023 );\n    // returns 8.988939926493918e+307\n    ```\n\n</section>\n\n<!-- /.notes -->\n\n<section class=\"examples\">\n\n## Examples\n\n<!-- eslint no-undef: \"error\" -->\n\n```javascript\nvar randu = require( '@stdlib/random-base-randu' );\nvar round = require( '@stdlib/math-base-special-round' );\nvar pow = require( '@stdlib/math-base-special-pow' );\nvar BIAS = require( '@stdlib/constants-float64-exponent-bias' );\nvar frexp = require( '@stdlib/math-base-special-frexp' );\n\nvar sign;\nvar frac;\nvar exp;\nvar x;\nvar f;\nvar v;\nvar i;\n\n// Generate random numbers and break each into a normalized fraction and an integer power of two...\nfor ( i = 0; i < 100; i++ ) {\n    if ( randu() < 0.5 ) {\n        sign = -1.0;\n    } else {\n        sign = 1.0;\n    }\n    frac = randu() * 10.0;\n    exp = round( randu()*616.0 ) - 308;\n    x = sign * frac * pow( 10.0, exp );\n    f = frexp( x );\n    if ( f[ 1 ] > BIAS ) {\n        v = f[ 0 ] * pow( 2.0, f[1]-BIAS ) * pow( 2.0, BIAS );\n    } else {\n        v = f[ 0 ] * pow( 2.0, f[ 1 ] );\n    }\n    console.log( '%d = %d * 2^%d = %d', x, f[ 0 ], f[ 1 ], v );\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/math/base/special/frexp.h\"\n```\n\n#### stdlib_base_frexp( x, frac, exp )\n\nSplits a [double-precision floating-point number][ieee754] into a normalized fraction and an integer power of two.\n\n```c\n#include <stdint.h>\n\ndouble frac;\nint32_t exp;\nstdlib_base_frexp( 4.0, &frac, &exp );\n```\n\nThe function accepts the following arguments:\n\n-   **x**: `[in] double` input value.\n-   **frac**: `[out] double*` destination for the normalized fraction.\n-   **exp**: `[out] int32_t*` destination for the integer power of two.\n\n```c\nvoid stdlib_base_frexp( const double x, double *frac, int32_t *exp );\n```\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### Examples\n\n```c\n#include \"stdlib/math/base/special/frexp.h\"\n#include <stdint.h>\n#include <stdio.h>\n#include <inttypes.h>\n\nint main( void ) {\n    const double x[] = { 4.0, 0.0, -0.0, 1.0, -1.0, 3.14, -3.14, 1.0e308, -1.0e308, 1.0/0.0, -1.0/0.0, 0.0/0.0 };\n\n    double frac;\n    int32_t exp;\n    int i;\n    for ( i = 0; i < 12; i++ ) {\n        stdlib_base_frexp( x[i], &frac, &exp );\n        printf( \"x: %f => frac: %f, exp: %\" PRId32 \"\\n\", x[i], frac, exp );\n    }\n}\n```\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/math-base/special/ldexp`][@stdlib/math/base/special/ldexp]</span><span class=\"delimiter\">: </span><span class=\"description\">multiply a double-precision floating-point number by an integer power of two.</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/math-base-special-frexp.svg\n[npm-url]: https://npmjs.org/package/@stdlib/math-base-special-frexp\n\n[test-image]: https://github.com/stdlib-js/math-base-special-frexp/actions/workflows/test.yml/badge.svg?branch=v0.2.4\n[test-url]: https://github.com/stdlib-js/math-base-special-frexp/actions/workflows/test.yml?query=branch:v0.2.4\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/math-base-special-frexp/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/math-base-special-frexp?branch=main\n\n<!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/math-base-special-frexp.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/math-base-special-frexp/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/math-base-special-frexp/tree/deno\n[deno-readme]: https://github.com/stdlib-js/math-base-special-frexp/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/math-base-special-frexp/tree/umd\n[umd-readme]: https://github.com/stdlib-js/math-base-special-frexp/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/math-base-special-frexp/tree/esm\n[esm-readme]: https://github.com/stdlib-js/math-base-special-frexp/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/math-base-special-frexp/blob/main/branches.md\n\n[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-frexp/main/LICENSE\n\n[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985\n\n[@stdlib/math/base/special/abs]: https://www.npmjs.com/package/@stdlib/math-base-special-abs\n\n<!-- <related-links> -->\n\n[@stdlib/math/base/special/ldexp]: https://www.npmjs.com/package/@stdlib/math-base-special-ldexp\n\n<!-- </related-links> -->\n\n</section>\n\n<!-- /.links -->\n","readmeFilename":"README.md"}