140 lines
3.3 KiB
Markdown
140 lines
3.3 KiB
Markdown
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<!--
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@license Apache-2.0
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Copyright (c) 2018 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# To Binary String
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> Return a string giving the literal bit representation of a [single-precision floating-point number][ieee754].
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<section class="usage">
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## Usage
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```javascript
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var toBinaryStringf = require( '@stdlib/number/float32/base/to-binary-string' );
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```
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#### toBinaryStringf( x )
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Returns a `string` giving the literal bit representation of a [single-precision floating-point number][ieee754].
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```javascript
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var toFloat32 = require( '@stdlib/number/float64/base/to-float32' );
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var str = toBinaryStringf( toFloat32( 4.0 ) );
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// returns '01000000100000000000000000000000'
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str = toBinaryStringf( toFloat32( 3.141592653589793 ) );
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// returns '01000000010010010000111111011011'
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str = toBinaryStringf( toFloat32( -1.0e38 ) );
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// returns '11111110100101100111011010011001'
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```
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The function handles [subnormals][subnormals].
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```javascript
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var toFloat32 = require( '@stdlib/number/float64/base/to-float32' );
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str = toBinaryStringf( toFloat32( -3.14e-39 ) );
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// returns '10000000001000100011000100001011'
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str = toBinaryStringf( toFloat32( 1.4e-45 ) );
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// returns '00000000000000000000000000000001'
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```
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The function handles special values.
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```javascript
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var PINF = require( '@stdlib/constants/float32/pinf' );
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var NINF = require( '@stdlib/constants/float32/ninf' );
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str = toBinaryStringf( 0.0 );
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// returns '00000000000000000000000000000000'
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str = toBinaryStringf( -0.0 );
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// returns '10000000000000000000000000000000'
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str = toBinaryStringf( NaN );
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// returns '01111111110000000000000000000000'
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str = toBinaryStringf( PINF );
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// returns '01111111100000000000000000000000'
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str = toBinaryStringf( NINF );
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// returns '11111111100000000000000000000000'
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```
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</section>
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<!-- /.usage -->
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<section class="examples">
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## Examples
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<!-- eslint no-undef: "error" -->
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```javascript
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var randu = require( '@stdlib/random/base/randu' );
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var round = require( '@stdlib/math/base/special/round' );
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var pow = require( '@stdlib/math/base/special/pow' );
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var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
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var toBinaryStringf = require( '@stdlib/number/float32/base/to-binary-string' );
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var frac;
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var sign;
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var exp;
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var b;
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var x;
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var i;
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// Convert random numbers to literal bit representations...
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for ( i = 0; i < 100; i++ ) {
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if ( randu() < 0.5 ) {
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sign = -1.0;
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} else {
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sign = 1.0;
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}
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frac = randu() * 10.0;
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exp = round( randu()*100.0 );
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if ( randu() < 0.5 ) {
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exp = -exp;
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}
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x = sign * frac * pow( 2.0, exp );
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x = float64ToFloat32( x );
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b = toBinaryStringf( x );
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console.log( b );
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}
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```
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</section>
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<!-- /.examples -->
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<section class="links">
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[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-2008
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[subnormals]: https://en.wikipedia.org/wiki/Denormal_number
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</section>
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<!-- /.links -->
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