179 lines
10 KiB
HTML
179 lines
10 KiB
HTML
<!DOCTYPE html>
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<html>
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<!-- This manual documents Guile version 3.0.10.
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Copyright (C) 1996-1997, 2000-2005, 2009-2023 Free Software Foundation,
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Inc.
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Copyright (C) 2021 Maxime Devos
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Copyright (C) 2024 Tomas Volf
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Permission is granted to copy, distribute and/or modify this document
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any later version published by the Free Software Foundation; with no
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Documentation License." -->
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<title>Scientific (Guile Reference Manual)</title>
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<meta name="description" content="Scientific (Guile Reference Manual)">
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<meta name="keywords" content="Scientific (Guile Reference Manual)">
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<link href="index.html" rel="start" title="Top">
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<link href="Concept-Index.html" rel="index" title="Concept Index">
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<link href="index.html#SEC_Contents" rel="contents" title="Table of Contents">
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<link href="Numbers.html" rel="up" title="Numbers">
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<link href="Bitwise-Operations.html" rel="next" title="Bitwise Operations">
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<link href="Arithmetic.html" rel="prev" title="Arithmetic">
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<body lang="en">
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<div class="subsubsection-level-extent" id="Scientific">
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<div class="nav-panel">
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<p>
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Next: <a href="Bitwise-Operations.html" accesskey="n" rel="next">Bitwise Operations</a>, Previous: <a href="Arithmetic.html" accesskey="p" rel="prev">Arithmetic Functions</a>, Up: <a href="Numbers.html" accesskey="u" rel="up">Numerical data types</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html" title="Index" rel="index">Index</a>]</p>
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</div>
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<hr>
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<h4 class="subsubsection" id="Scientific-Functions"><span>6.6.2.12 Scientific Functions<a class="copiable-link" href="#Scientific-Functions"> ¶</a></span></h4>
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<p>The following procedures accept any kind of number as arguments,
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including complex numbers.
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</p>
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<a class="index-entry-id" id="index-sqrt-2"></a>
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<dl class="first-deffn">
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<dt class="deffn" id="index-sqrt"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">sqrt</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-sqrt"> ¶</a></span></dt>
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<dd><p>Return the square root of <var class="var">z</var>. Of the two possible roots
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(positive and negative), the one with a positive real part is
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returned, or if that’s zero then a positive imaginary part. Thus,
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</p>
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<div class="example">
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<pre class="example-preformatted">(sqrt 9.0) ⇒ 3.0
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(sqrt -9.0) ⇒ 0.0+3.0i
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(sqrt 1.0+1.0i) ⇒ 1.09868411346781+0.455089860562227i
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(sqrt -1.0-1.0i) ⇒ 0.455089860562227-1.09868411346781i
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</pre></div>
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</dd></dl>
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<a class="index-entry-id" id="index-expt-2"></a>
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<dl class="first-deffn">
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<dt class="deffn" id="index-expt"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">expt</strong> <var class="def-var-arguments">z1 z2</var><a class="copiable-link" href="#index-expt"> ¶</a></span></dt>
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<dd><p>Return <var class="var">z1</var> raised to the power of <var class="var">z2</var>.
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</p></dd></dl>
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<a class="index-entry-id" id="index-sin-2"></a>
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<dl class="first-deffn">
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<dt class="deffn" id="index-sin"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">sin</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-sin"> ¶</a></span></dt>
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<dd><p>Return the sine of <var class="var">z</var>.
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</p></dd></dl>
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<a class="index-entry-id" id="index-cos-2"></a>
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<dl class="first-deffn">
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<dt class="deffn" id="index-cos"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">cos</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-cos"> ¶</a></span></dt>
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<dd><p>Return the cosine of <var class="var">z</var>.
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</p></dd></dl>
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<a class="index-entry-id" id="index-tan-2"></a>
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<dl class="first-deffn">
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<dt class="deffn" id="index-tan"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">tan</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-tan"> ¶</a></span></dt>
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<dd><p>Return the tangent of <var class="var">z</var>.
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</p></dd></dl>
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<a class="index-entry-id" id="index-asin-2"></a>
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<dl class="first-deffn">
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<dt class="deffn" id="index-asin"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">asin</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-asin"> ¶</a></span></dt>
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<dd><p>Return the arcsine of <var class="var">z</var>.
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</p></dd></dl>
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<a class="index-entry-id" id="index-acos-2"></a>
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<dl class="first-deffn">
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<dt class="deffn" id="index-acos"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">acos</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-acos"> ¶</a></span></dt>
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<dd><p>Return the arccosine of <var class="var">z</var>.
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</p></dd></dl>
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<a class="index-entry-id" id="index-atan-3"></a>
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<dl class="first-deffn">
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<dt class="deffn" id="index-atan"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">atan</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-atan"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-atan-1"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">atan</strong> <var class="def-var-arguments">y x</var><a class="copiable-link" href="#index-atan-1"> ¶</a></span></dt>
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<dd><p>Return the arctangent of <var class="var">z</var>, or of <em class="math"><var class="var">y</var>/<var class="var">x</var></em>.
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</p></dd></dl>
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<a class="index-entry-id" id="index-exp-2"></a>
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<dl class="first-deffn">
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<dt class="deffn" id="index-exp"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">exp</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-exp"> ¶</a></span></dt>
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<dd><p>Return e to the power of <var class="var">z</var>, where e is the base of natural
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logarithms (2.71828…).
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</p></dd></dl>
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<a class="index-entry-id" id="index-log-2"></a>
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<dl class="first-deffn">
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<dt class="deffn" id="index-log"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">log</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-log"> ¶</a></span></dt>
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<dd><p>Return the natural logarithm of <var class="var">z</var>.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-log10"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">log10</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-log10"> ¶</a></span></dt>
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<dd><p>Return the base 10 logarithm of <var class="var">z</var>.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-sinh"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">sinh</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-sinh"> ¶</a></span></dt>
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<dd><p>Return the hyperbolic sine of <var class="var">z</var>.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-cosh"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">cosh</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-cosh"> ¶</a></span></dt>
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<dd><p>Return the hyperbolic cosine of <var class="var">z</var>.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-tanh"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">tanh</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-tanh"> ¶</a></span></dt>
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<dd><p>Return the hyperbolic tangent of <var class="var">z</var>.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-asinh"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">asinh</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-asinh"> ¶</a></span></dt>
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<dd><p>Return the hyperbolic arcsine of <var class="var">z</var>.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-acosh"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">acosh</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-acosh"> ¶</a></span></dt>
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<dd><p>Return the hyperbolic arccosine of <var class="var">z</var>.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-atanh"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">atanh</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-atanh"> ¶</a></span></dt>
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<dd><p>Return the hyperbolic arctangent of <var class="var">z</var>.
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</p></dd></dl>
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</div>
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<hr>
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<div class="nav-panel">
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<p>
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Next: <a href="Bitwise-Operations.html">Bitwise Operations</a>, Previous: <a href="Arithmetic.html">Arithmetic Functions</a>, Up: <a href="Numbers.html">Numerical data types</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html" title="Index" rel="index">Index</a>]</p>
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</div>
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</body>
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</html>
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