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<section id='main' class="content"><pre class="line-numbers"><span id="1"> 1</span>
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|
||
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|
||
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|
||
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|
||
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|
||
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|
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|
||
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|
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|
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|
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|
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
<span id="566">566</span>
|
||
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|
||
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|
||
<span id="569">569</span>
|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
<span id="582">582</span>
|
||
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|
||
<span id="584">584</span>
|
||
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|
||
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|
||
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|
||
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|
||
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|
||
<span id="590">590</span>
|
||
<span id="591">591</span>
|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
<span id="611">611</span>
|
||
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|
||
<span id="613">613</span>
|
||
<span id="614">614</span>
|
||
<span id="615">615</span>
|
||
<span id="616">616</span>
|
||
<span id="617">617</span>
|
||
<span id="618">618</span>
|
||
<span id="619">619</span>
|
||
<span id="620">620</span>
|
||
<span id="621">621</span>
|
||
<span id="622">622</span>
|
||
<span id="623">623</span>
|
||
<span id="624">624</span>
|
||
<span id="625">625</span>
|
||
<span id="626">626</span>
|
||
<span id="627">627</span>
|
||
<span id="628">628</span>
|
||
<span id="629">629</span>
|
||
<span id="630">630</span>
|
||
<span id="631">631</span>
|
||
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|
||
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|
||
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|
||
<span id="635">635</span>
|
||
<span id="636">636</span>
|
||
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|
||
<span id="638">638</span>
|
||
<span id="639">639</span>
|
||
<span id="640">640</span>
|
||
<span id="641">641</span>
|
||
<span id="642">642</span>
|
||
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|
||
<span id="644">644</span>
|
||
<span id="645">645</span>
|
||
<span id="646">646</span>
|
||
<span id="647">647</span>
|
||
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|
||
<span id="649">649</span>
|
||
<span id="650">650</span>
|
||
<span id="651">651</span>
|
||
<span id="652">652</span>
|
||
<span id="653">653</span>
|
||
<span id="654">654</span>
|
||
<span id="655">655</span>
|
||
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|
||
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|
||
<span id="658">658</span>
|
||
<span id="659">659</span>
|
||
<span id="660">660</span>
|
||
<span id="661">661</span>
|
||
<span id="662">662</span>
|
||
<span id="663">663</span>
|
||
<span id="664">664</span>
|
||
<span id="665">665</span>
|
||
<span id="666">666</span>
|
||
<span id="667">667</span>
|
||
<span id="668">668</span>
|
||
<span id="669">669</span>
|
||
<span id="670">670</span>
|
||
<span id="671">671</span>
|
||
<span id="672">672</span>
|
||
<span id="673">673</span>
|
||
<span id="674">674</span>
|
||
<span id="675">675</span>
|
||
<span id="676">676</span>
|
||
<span id="677">677</span>
|
||
<span id="678">678</span>
|
||
<span id="679">679</span>
|
||
<span id="680">680</span>
|
||
<span id="681">681</span>
|
||
<span id="682">682</span>
|
||
<span id="683">683</span>
|
||
<span id="684">684</span>
|
||
<span id="685">685</span>
|
||
<span id="686">686</span>
|
||
<span id="687">687</span>
|
||
<span id="688">688</span>
|
||
<span id="689">689</span>
|
||
<span id="690">690</span>
|
||
<span id="691">691</span>
|
||
<span id="692">692</span>
|
||
<span id="693">693</span>
|
||
<span id="694">694</span>
|
||
<span id="695">695</span>
|
||
<span id="696">696</span>
|
||
<span id="697">697</span>
|
||
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|
||
<span id="699">699</span>
|
||
<span id="700">700</span>
|
||
<span id="701">701</span>
|
||
<span id="702">702</span>
|
||
<span id="703">703</span>
|
||
<span id="704">704</span>
|
||
<span id="705">705</span>
|
||
<span id="706">706</span>
|
||
<span id="707">707</span>
|
||
<span id="708">708</span>
|
||
<span id="709">709</span>
|
||
<span id="710">710</span>
|
||
<span id="711">711</span>
|
||
<span id="712">712</span>
|
||
<span id="713">713</span>
|
||
<span id="714">714</span>
|
||
<span id="715">715</span>
|
||
<span id="716">716</span>
|
||
<span id="717">717</span>
|
||
<span id="718">718</span>
|
||
<span id="719">719</span>
|
||
<span id="720">720</span>
|
||
<span id="721">721</span>
|
||
<span id="722">722</span>
|
||
<span id="723">723</span>
|
||
<span id="724">724</span>
|
||
<span id="725">725</span>
|
||
<span id="726">726</span>
|
||
<span id="727">727</span>
|
||
<span id="728">728</span>
|
||
<span id="729">729</span>
|
||
<span id="730">730</span>
|
||
<span id="731">731</span>
|
||
<span id="732">732</span>
|
||
<span id="733">733</span>
|
||
<span id="734">734</span>
|
||
<span id="735">735</span>
|
||
<span id="736">736</span>
|
||
<span id="737">737</span>
|
||
<span id="738">738</span>
|
||
<span id="739">739</span>
|
||
<span id="740">740</span>
|
||
<span id="741">741</span>
|
||
<span id="742">742</span>
|
||
<span id="743">743</span>
|
||
<span id="744">744</span>
|
||
<span id="745">745</span>
|
||
<span id="746">746</span>
|
||
<span id="747">747</span>
|
||
<span id="748">748</span>
|
||
<span id="749">749</span>
|
||
<span id="750">750</span>
|
||
<span id="751">751</span>
|
||
<span id="752">752</span>
|
||
<span id="753">753</span>
|
||
<span id="754">754</span>
|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
<span id="764">764</span>
|
||
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|
||
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|
||
<span id="767">767</span>
|
||
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|
||
<span id="769">769</span>
|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
<span id="848">848</span>
|
||
<span id="849">849</span>
|
||
<span id="850">850</span>
|
||
<span id="851">851</span>
|
||
<span id="852">852</span>
|
||
<span id="853">853</span>
|
||
<span id="854">854</span>
|
||
<span id="855">855</span>
|
||
<span id="856">856</span>
|
||
<span id="857">857</span>
|
||
<span id="858">858</span>
|
||
<span id="859">859</span>
|
||
<span id="860">860</span>
|
||
<span id="861">861</span>
|
||
<span id="862">862</span>
|
||
<span id="863">863</span>
|
||
<span id="864">864</span>
|
||
<span id="865">865</span>
|
||
<span id="866">866</span>
|
||
<span id="867">867</span>
|
||
<span id="868">868</span>
|
||
<span id="869">869</span>
|
||
<span id="870">870</span>
|
||
<span id="871">871</span>
|
||
<span id="872">872</span>
|
||
<span id="873">873</span>
|
||
<span id="874">874</span>
|
||
<span id="875">875</span>
|
||
<span id="876">876</span>
|
||
<span id="877">877</span>
|
||
<span id="878">878</span>
|
||
<span id="879">879</span>
|
||
<span id="880">880</span>
|
||
<span id="881">881</span>
|
||
<span id="882">882</span>
|
||
<span id="883">883</span>
|
||
<span id="884">884</span>
|
||
<span id="885">885</span>
|
||
<span id="886">886</span>
|
||
<span id="887">887</span>
|
||
<span id="888">888</span>
|
||
<span id="889">889</span>
|
||
<span id="890">890</span>
|
||
<span id="891">891</span>
|
||
<span id="892">892</span>
|
||
<span id="893">893</span>
|
||
<span id="894">894</span>
|
||
<span id="895">895</span>
|
||
<span id="896">896</span>
|
||
<span id="897">897</span>
|
||
<span id="898">898</span>
|
||
<span id="899">899</span>
|
||
<span id="900">900</span>
|
||
<span id="901">901</span>
|
||
<span id="902">902</span>
|
||
<span id="903">903</span>
|
||
<span id="904">904</span>
|
||
<span id="905">905</span>
|
||
<span id="906">906</span>
|
||
<span id="907">907</span>
|
||
<span id="908">908</span>
|
||
<span id="909">909</span>
|
||
<span id="910">910</span>
|
||
<span id="911">911</span>
|
||
<span id="912">912</span>
|
||
<span id="913">913</span>
|
||
<span id="914">914</span>
|
||
<span id="915">915</span>
|
||
<span id="916">916</span>
|
||
<span id="917">917</span>
|
||
<span id="918">918</span>
|
||
<span id="919">919</span>
|
||
<span id="920">920</span>
|
||
<span id="921">921</span>
|
||
<span id="922">922</span>
|
||
<span id="923">923</span>
|
||
<span id="924">924</span>
|
||
<span id="925">925</span>
|
||
<span id="926">926</span>
|
||
</pre><pre class="rust ">
|
||
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">ops</span>::<span class="ident">Neg</span>;
|
||
|
||
<span class="kw">use</span> {<span class="ident">Num</span>, <span class="ident">NumCast</span>, <span class="ident">Float</span>};
|
||
|
||
<span class="comment">// NOTE: These doctests have the same issue as those in src/float.rs.</span>
|
||
<span class="comment">// They're testing the inherent methods directly, and not those of `Real`.</span>
|
||
|
||
<span class="doccomment">/// A trait for real number types that do not necessarily have</span>
|
||
<span class="doccomment">/// floating-point-specific characteristics such as NaN and infinity.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// See [this Wikipedia article](https://en.wikipedia.org/wiki/Real_data_type)</span>
|
||
<span class="doccomment">/// for a list of data types that could meaningfully implement this trait.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// This trait is only available with the `std` feature.</span>
|
||
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">Real</span>
|
||
: <span class="ident">Num</span>
|
||
<span class="op">+</span> <span class="ident">Copy</span>
|
||
<span class="op">+</span> <span class="ident">NumCast</span>
|
||
<span class="op">+</span> <span class="ident">PartialOrd</span>
|
||
<span class="op">+</span> <span class="ident">Neg</span><span class="op"><</span><span class="ident">Output</span> <span class="op">=</span> <span class="self">Self</span><span class="op">></span>
|
||
{
|
||
<span class="doccomment">/// Returns the smallest finite value that this type can represent.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x: f64 = Real::min_value();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert_eq!(x, f64::MIN);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">min_value</span>() <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the smallest positive, normalized value that this type can represent.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x: f64 = Real::min_positive_value();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert_eq!(x, f64::MIN_POSITIVE);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">min_positive_value</span>() <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns epsilon, a small positive value.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x: f64 = Real::epsilon();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert_eq!(x, f64::EPSILON);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// # Panics</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// The default implementation will panic if `f32::EPSILON` cannot</span>
|
||
<span class="doccomment">/// be cast to `Self`.</span>
|
||
<span class="kw">fn</span> <span class="ident">epsilon</span>() <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the largest finite value that this type can represent.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x: f64 = Real::max_value();</span>
|
||
<span class="doccomment">/// assert_eq!(x, f64::MAX);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">max_value</span>() <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the largest integer less than or equal to a number.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = 3.99;</span>
|
||
<span class="doccomment">/// let g = 3.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert_eq!(f.floor(), 3.0);</span>
|
||
<span class="doccomment">/// assert_eq!(g.floor(), 3.0);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">floor</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the smallest integer greater than or equal to a number.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = 3.01;</span>
|
||
<span class="doccomment">/// let g = 4.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert_eq!(f.ceil(), 4.0);</span>
|
||
<span class="doccomment">/// assert_eq!(g.ceil(), 4.0);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">ceil</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the nearest integer to a number. Round half-way cases away from</span>
|
||
<span class="doccomment">/// `0.0`.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = 3.3;</span>
|
||
<span class="doccomment">/// let g = -3.3;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert_eq!(f.round(), 3.0);</span>
|
||
<span class="doccomment">/// assert_eq!(g.round(), -3.0);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">round</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Return the integer part of a number.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = 3.3;</span>
|
||
<span class="doccomment">/// let g = -3.7;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert_eq!(f.trunc(), 3.0);</span>
|
||
<span class="doccomment">/// assert_eq!(g.trunc(), -3.0);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">trunc</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the fractional part of a number.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 3.5;</span>
|
||
<span class="doccomment">/// let y = -3.5;</span>
|
||
<span class="doccomment">/// let abs_difference_x = (x.fract() - 0.5).abs();</span>
|
||
<span class="doccomment">/// let abs_difference_y = (y.fract() - (-0.5)).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference_x < 1e-10);</span>
|
||
<span class="doccomment">/// assert!(abs_difference_y < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">fract</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Computes the absolute value of `self`. Returns `Float::nan()` if the</span>
|
||
<span class="doccomment">/// number is `Float::nan()`.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 3.5;</span>
|
||
<span class="doccomment">/// let y = -3.5;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference_x = (x.abs() - x).abs();</span>
|
||
<span class="doccomment">/// let abs_difference_y = (y.abs() - (-y)).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference_x < 1e-10);</span>
|
||
<span class="doccomment">/// assert!(abs_difference_y < 1e-10);</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(::num_traits::Float::is_nan(f64::NAN.abs()));</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">abs</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns a number that represents the sign of `self`.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// - `1.0` if the number is positive, `+0.0` or `Float::infinity()`</span>
|
||
<span class="doccomment">/// - `-1.0` if the number is negative, `-0.0` or `Float::neg_infinity()`</span>
|
||
<span class="doccomment">/// - `Float::nan()` if the number is `Float::nan()`</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = 3.5;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert_eq!(f.signum(), 1.0);</span>
|
||
<span class="doccomment">/// assert_eq!(f64::NEG_INFINITY.signum(), -1.0);</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(f64::NAN.signum().is_nan());</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">signum</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns `true` if `self` is positive, including `+0.0`,</span>
|
||
<span class="doccomment">/// `Float::infinity()`, and with newer versions of Rust `f64::NAN`.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let neg_nan: f64 = -f64::NAN;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = 7.0;</span>
|
||
<span class="doccomment">/// let g = -7.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(f.is_sign_positive());</span>
|
||
<span class="doccomment">/// assert!(!g.is_sign_positive());</span>
|
||
<span class="doccomment">/// assert!(!neg_nan.is_sign_positive());</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">is_sign_positive</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span>;
|
||
|
||
<span class="doccomment">/// Returns `true` if `self` is negative, including `-0.0`,</span>
|
||
<span class="doccomment">/// `Float::neg_infinity()`, and with newer versions of Rust `-f64::NAN`.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let nan: f64 = f64::NAN;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = 7.0;</span>
|
||
<span class="doccomment">/// let g = -7.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(!f.is_sign_negative());</span>
|
||
<span class="doccomment">/// assert!(g.is_sign_negative());</span>
|
||
<span class="doccomment">/// assert!(!nan.is_sign_negative());</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">is_sign_negative</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span>;
|
||
|
||
<span class="doccomment">/// Fused multiply-add. Computes `(self * a) + b` with only one rounding</span>
|
||
<span class="doccomment">/// error. This produces a more accurate result with better performance than</span>
|
||
<span class="doccomment">/// a separate multiplication operation followed by an add.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let m = 10.0;</span>
|
||
<span class="doccomment">/// let x = 4.0;</span>
|
||
<span class="doccomment">/// let b = 60.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // 100.0</span>
|
||
<span class="doccomment">/// let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">mul_add</span>(<span class="self">self</span>, <span class="ident">a</span>: <span class="self">Self</span>, <span class="ident">b</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Take the reciprocal (inverse) of a number, `1/x`.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 2.0;</span>
|
||
<span class="doccomment">/// let abs_difference = (x.recip() - (1.0/x)).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">recip</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Raise a number to an integer power.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// Using this function is generally faster than using `powf`</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 2.0;</span>
|
||
<span class="doccomment">/// let abs_difference = (x.powi(2) - x*x).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">powi</span>(<span class="self">self</span>, <span class="ident">n</span>: <span class="ident">i32</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Raise a number to a real number power.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 2.0;</span>
|
||
<span class="doccomment">/// let abs_difference = (x.powf(2.0) - x*x).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">powf</span>(<span class="self">self</span>, <span class="ident">n</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Take the square root of a number.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// Returns NaN if `self` is a negative floating-point number. </span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// # Panics</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// If the implementing type doesn't support NaN, this method should panic if `self < 0`.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let positive = 4.0;</span>
|
||
<span class="doccomment">/// let negative = -4.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference = (positive.sqrt() - 2.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// assert!(::num_traits::Float::is_nan(negative.sqrt()));</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">sqrt</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns `e^(self)`, (the exponential function).</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let one = 1.0;</span>
|
||
<span class="doccomment">/// // e^1</span>
|
||
<span class="doccomment">/// let e = one.exp();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // ln(e) - 1 == 0</span>
|
||
<span class="doccomment">/// let abs_difference = (e.ln() - 1.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">exp</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns `2^(self)`.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = 2.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // 2^2 - 4 == 0</span>
|
||
<span class="doccomment">/// let abs_difference = (f.exp2() - 4.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">exp2</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the natural logarithm of the number.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// # Panics</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// If `self <= 0` and this type does not support a NaN representation, this function should panic.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let one = 1.0;</span>
|
||
<span class="doccomment">/// // e^1</span>
|
||
<span class="doccomment">/// let e = one.exp();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // ln(e) - 1 == 0</span>
|
||
<span class="doccomment">/// let abs_difference = (e.ln() - 1.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">ln</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the logarithm of the number with respect to an arbitrary base.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// # Panics</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// If `self <= 0` and this type does not support a NaN representation, this function should panic.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let ten = 10.0;</span>
|
||
<span class="doccomment">/// let two = 2.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // log10(10) - 1 == 0</span>
|
||
<span class="doccomment">/// let abs_difference_10 = (ten.log(10.0) - 1.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // log2(2) - 1 == 0</span>
|
||
<span class="doccomment">/// let abs_difference_2 = (two.log(2.0) - 1.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference_10 < 1e-10);</span>
|
||
<span class="doccomment">/// assert!(abs_difference_2 < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">log</span>(<span class="self">self</span>, <span class="ident">base</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the base 2 logarithm of the number.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// # Panics</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// If `self <= 0` and this type does not support a NaN representation, this function should panic.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let two = 2.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // log2(2) - 1 == 0</span>
|
||
<span class="doccomment">/// let abs_difference = (two.log2() - 1.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">log2</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the base 10 logarithm of the number.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// # Panics</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// If `self <= 0` and this type does not support a NaN representation, this function should panic.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let ten = 10.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // log10(10) - 1 == 0</span>
|
||
<span class="doccomment">/// let abs_difference = (ten.log10() - 1.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">log10</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Converts radians to degrees.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use std::f64::consts;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let angle = consts::PI;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference = (angle.to_degrees() - 180.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">to_degrees</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Converts degrees to radians.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use std::f64::consts;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let angle = 180.0_f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference = (angle.to_radians() - consts::PI).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">to_radians</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the maximum of the two numbers.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 1.0;</span>
|
||
<span class="doccomment">/// let y = 2.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert_eq!(x.max(y), y);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">max</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns the minimum of the two numbers.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 1.0;</span>
|
||
<span class="doccomment">/// let y = 2.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert_eq!(x.min(y), x);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">min</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// The positive difference of two numbers.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// * If `self <= other`: `0:0`</span>
|
||
<span class="doccomment">/// * Else: `self - other`</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 3.0;</span>
|
||
<span class="doccomment">/// let y = -3.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference_x = (x.abs_sub(1.0) - 2.0).abs();</span>
|
||
<span class="doccomment">/// let abs_difference_y = (y.abs_sub(1.0) - 0.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference_x < 1e-10);</span>
|
||
<span class="doccomment">/// assert!(abs_difference_y < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">abs_sub</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Take the cubic root of a number.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 8.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // x^(1/3) - 2 == 0</span>
|
||
<span class="doccomment">/// let abs_difference = (x.cbrt() - 2.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">cbrt</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Calculate the length of the hypotenuse of a right-angle triangle given</span>
|
||
<span class="doccomment">/// legs of length `x` and `y`.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 2.0;</span>
|
||
<span class="doccomment">/// let y = 3.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // sqrt(x^2 + y^2)</span>
|
||
<span class="doccomment">/// let abs_difference = (x.hypot(y) - (x.powi(2) + y.powi(2)).sqrt()).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">hypot</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Computes the sine of a number (in radians).</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = f64::consts::PI/2.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference = (x.sin() - 1.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">sin</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Computes the cosine of a number (in radians).</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 2.0*f64::consts::PI;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference = (x.cos() - 1.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">cos</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Computes the tangent of a number (in radians).</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = f64::consts::PI/4.0;</span>
|
||
<span class="doccomment">/// let abs_difference = (x.tan() - 1.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-14);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">tan</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Computes the arcsine of a number. Return value is in radians in</span>
|
||
<span class="doccomment">/// the range [-pi/2, pi/2] or NaN if the number is outside the range</span>
|
||
<span class="doccomment">/// [-1, 1].</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// # Panics</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// If this type does not support a NaN representation, this function should panic</span>
|
||
<span class="doccomment">/// if the number is outside the range [-1, 1].</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = f64::consts::PI / 2.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // asin(sin(pi/2))</span>
|
||
<span class="doccomment">/// let abs_difference = (f.sin().asin() - f64::consts::PI / 2.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">asin</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Computes the arccosine of a number. Return value is in radians in</span>
|
||
<span class="doccomment">/// the range [0, pi] or NaN if the number is outside the range</span>
|
||
<span class="doccomment">/// [-1, 1].</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// # Panics</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// If this type does not support a NaN representation, this function should panic</span>
|
||
<span class="doccomment">/// if the number is outside the range [-1, 1].</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = f64::consts::PI / 4.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // acos(cos(pi/4))</span>
|
||
<span class="doccomment">/// let abs_difference = (f.cos().acos() - f64::consts::PI / 4.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">acos</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Computes the arctangent of a number. Return value is in radians in the</span>
|
||
<span class="doccomment">/// range [-pi/2, pi/2];</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = 1.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // atan(tan(1))</span>
|
||
<span class="doccomment">/// let abs_difference = (f.tan().atan() - 1.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">atan</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Computes the four quadrant arctangent of `self` (`y`) and `other` (`x`).</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// * `x = 0`, `y = 0`: `0`</span>
|
||
<span class="doccomment">/// * `x >= 0`: `arctan(y/x)` -> `[-pi/2, pi/2]`</span>
|
||
<span class="doccomment">/// * `y >= 0`: `arctan(y/x) + pi` -> `(pi/2, pi]`</span>
|
||
<span class="doccomment">/// * `y < 0`: `arctan(y/x) - pi` -> `(-pi, -pi/2)`</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let pi = f64::consts::PI;</span>
|
||
<span class="doccomment">/// // All angles from horizontal right (+x)</span>
|
||
<span class="doccomment">/// // 45 deg counter-clockwise</span>
|
||
<span class="doccomment">/// let x1 = 3.0;</span>
|
||
<span class="doccomment">/// let y1 = -3.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // 135 deg clockwise</span>
|
||
<span class="doccomment">/// let x2 = -3.0;</span>
|
||
<span class="doccomment">/// let y2 = 3.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference_1 = (y1.atan2(x1) - (-pi/4.0)).abs();</span>
|
||
<span class="doccomment">/// let abs_difference_2 = (y2.atan2(x2) - 3.0*pi/4.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference_1 < 1e-10);</span>
|
||
<span class="doccomment">/// assert!(abs_difference_2 < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">atan2</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Simultaneously computes the sine and cosine of the number, `x`. Returns</span>
|
||
<span class="doccomment">/// `(sin(x), cos(x))`.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = f64::consts::PI/4.0;</span>
|
||
<span class="doccomment">/// let f = x.sin_cos();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference_0 = (f.0 - x.sin()).abs();</span>
|
||
<span class="doccomment">/// let abs_difference_1 = (f.1 - x.cos()).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference_0 < 1e-10);</span>
|
||
<span class="doccomment">/// assert!(abs_difference_0 < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">sin_cos</span>(<span class="self">self</span>) <span class="op">-></span> (<span class="self">Self</span>, <span class="self">Self</span>);
|
||
|
||
<span class="doccomment">/// Returns `e^(self) - 1` in a way that is accurate even if the</span>
|
||
<span class="doccomment">/// number is close to zero.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 7.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // e^(ln(7)) - 1</span>
|
||
<span class="doccomment">/// let abs_difference = (x.ln().exp_m1() - 6.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">exp_m1</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Returns `ln(1+n)` (natural logarithm) more accurately than if</span>
|
||
<span class="doccomment">/// the operations were performed separately.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// # Panics</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// If this type does not support a NaN representation, this function should panic</span>
|
||
<span class="doccomment">/// if `self-1 <= 0`.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = f64::consts::E - 1.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // ln(1 + (e - 1)) == ln(e) == 1</span>
|
||
<span class="doccomment">/// let abs_difference = (x.ln_1p() - 1.0).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">ln_1p</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Hyperbolic sine function.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let e = f64::consts::E;</span>
|
||
<span class="doccomment">/// let x = 1.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = x.sinh();</span>
|
||
<span class="doccomment">/// // Solving sinh() at 1 gives `(e^2-1)/(2e)`</span>
|
||
<span class="doccomment">/// let g = (e*e - 1.0)/(2.0*e);</span>
|
||
<span class="doccomment">/// let abs_difference = (f - g).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">sinh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Hyperbolic cosine function.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let e = f64::consts::E;</span>
|
||
<span class="doccomment">/// let x = 1.0;</span>
|
||
<span class="doccomment">/// let f = x.cosh();</span>
|
||
<span class="doccomment">/// // Solving cosh() at 1 gives this result</span>
|
||
<span class="doccomment">/// let g = (e*e + 1.0)/(2.0*e);</span>
|
||
<span class="doccomment">/// let abs_difference = (f - g).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// // Same result</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1.0e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">cosh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Hyperbolic tangent function.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let e = f64::consts::E;</span>
|
||
<span class="doccomment">/// let x = 1.0;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let f = x.tanh();</span>
|
||
<span class="doccomment">/// // Solving tanh() at 1 gives `(1 - e^(-2))/(1 + e^(-2))`</span>
|
||
<span class="doccomment">/// let g = (1.0 - e.powi(-2))/(1.0 + e.powi(-2));</span>
|
||
<span class="doccomment">/// let abs_difference = (f - g).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1.0e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">tanh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Inverse hyperbolic sine function.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 1.0;</span>
|
||
<span class="doccomment">/// let f = x.sinh().asinh();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference = (f - x).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1.0e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">asinh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Inverse hyperbolic cosine function.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let x = 1.0;</span>
|
||
<span class="doccomment">/// let f = x.cosh().acosh();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference = (f - x).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1.0e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">acosh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
|
||
<span class="doccomment">/// Inverse hyperbolic tangent function.</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="doccomment">/// use num_traits::real::Real;</span>
|
||
<span class="doccomment">/// use std::f64;</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let e = f64::consts::E;</span>
|
||
<span class="doccomment">/// let f = e.tanh().atanh();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// let abs_difference = (f - e).abs();</span>
|
||
<span class="doccomment">///</span>
|
||
<span class="doccomment">/// assert!(abs_difference < 1.0e-10);</span>
|
||
<span class="doccomment">/// ```</span>
|
||
<span class="kw">fn</span> <span class="ident">atanh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>;
|
||
}
|
||
|
||
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Float</span><span class="op">></span> <span class="ident">Real</span> <span class="kw">for</span> <span class="ident">T</span> {
|
||
<span class="kw">fn</span> <span class="ident">min_value</span>() <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">Self</span>::<span class="ident">min_value</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">min_positive_value</span>() <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">Self</span>::<span class="ident">min_positive_value</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">epsilon</span>() <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">Self</span>::<span class="ident">epsilon</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">max_value</span>() <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">Self</span>::<span class="ident">max_value</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">floor</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">floor</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">ceil</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">ceil</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">round</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">round</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">trunc</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">trunc</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">fract</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">fract</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">abs</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">abs</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">signum</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">signum</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">is_sign_positive</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> {
|
||
<span class="self">self</span>.<span class="ident">is_sign_positive</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">is_sign_negative</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> {
|
||
<span class="self">self</span>.<span class="ident">is_sign_negative</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">mul_add</span>(<span class="self">self</span>, <span class="ident">a</span>: <span class="self">Self</span>, <span class="ident">b</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">mul_add</span>(<span class="ident">a</span>, <span class="ident">b</span>)
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">recip</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">recip</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">powi</span>(<span class="self">self</span>, <span class="ident">n</span>: <span class="ident">i32</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">powi</span>(<span class="ident">n</span>)
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">powf</span>(<span class="self">self</span>, <span class="ident">n</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">powf</span>(<span class="ident">n</span>)
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">sqrt</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">sqrt</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">exp</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">exp</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">exp2</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">exp2</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">ln</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">ln</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">log</span>(<span class="self">self</span>, <span class="ident">base</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">log</span>(<span class="ident">base</span>)
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">log2</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">log2</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">log10</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">log10</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">to_degrees</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">to_degrees</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">to_radians</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">to_radians</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">max</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">max</span>(<span class="ident">other</span>)
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">min</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">min</span>(<span class="ident">other</span>)
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">abs_sub</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">abs_sub</span>(<span class="ident">other</span>)
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">cbrt</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">cbrt</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">hypot</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">hypot</span>(<span class="ident">other</span>)
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">sin</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">sin</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">cos</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">cos</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">tan</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">tan</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">asin</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">asin</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">acos</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">acos</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">atan</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">atan</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">atan2</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">atan2</span>(<span class="ident">other</span>)
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">sin_cos</span>(<span class="self">self</span>) <span class="op">-></span> (<span class="self">Self</span>, <span class="self">Self</span>) {
|
||
<span class="self">self</span>.<span class="ident">sin_cos</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">exp_m1</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">exp_m1</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">ln_1p</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">ln_1p</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">sinh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">sinh</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">cosh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">cosh</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">tanh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">tanh</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">asinh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">asinh</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">acosh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">acosh</span>()
|
||
}
|
||
<span class="kw">fn</span> <span class="ident">atanh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span> {
|
||
<span class="self">self</span>.<span class="ident">atanh</span>()
|
||
}
|
||
}
|
||
</pre>
|
||
</section>
|
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<section class="footer"></section>
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<h1 class="hidden">Help</h1>
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<h2>Keyboard Shortcuts</h2>
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<div class="infos">
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<h2>Search Tricks</h2>
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<p>
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Prefix searches with a type followed by a colon (e.g.
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<code>fn:</code>) to restrict the search to a given type.
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</p>
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<p>
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Accepted types are: <code>fn</code>, <code>mod</code>,
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<code>struct</code>, <code>enum</code>,
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<code>trait</code>, <code>type</code>, <code>macro</code>,
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and <code>const</code>.
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</p>
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<p>
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Search functions by type signature (e.g.
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<code>vec -> usize</code> or <code>* -> vec</code>)
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