232 lines
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232 lines
22 KiB
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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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<title>rnrs arithmetic flonums (Guile Reference Manual)</title>
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<div class="subsubsection-level-extent" id="rnrs-arithmetic-flonums">
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Next: <a href="rnrs-arithmetic-bitwise.html" accesskey="n" rel="next">rnrs arithmetic bitwise</a>, Previous: <a href="rnrs-arithmetic-fixnums.html" accesskey="p" rel="prev">rnrs arithmetic fixnums</a>, Up: <a href="R6RS-Standard-Libraries.html" accesskey="u" rel="up">R6RS Standard Libraries</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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<hr>
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<h4 class="subsubsection" id="rnrs-arithmetic-flonums-1"><span>7.6.2.22 rnrs arithmetic flonums<a class="copiable-link" href="#rnrs-arithmetic-flonums-1"> ¶</a></span></h4>
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<p>The <code class="code">(rnrs arithmetic flonums (6))</code> library provides procedures for
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performing arithmetic operations on inexact representations of real
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numbers, which R6RS refers to as <em class="dfn">flonums</em>.
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</p>
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<p>Unless otherwise specified, all of the procedures below take flonums as
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arguments, and will raise an <code class="code">&assertion</code> condition if passed a
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non-flonum argument.
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</p>
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<dl class="first-deffn">
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<dt class="deffn" id="index-flonum_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flonum?</strong> <var class="def-var-arguments">obj</var><a class="copiable-link" href="#index-flonum_003f"> ¶</a></span></dt>
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<dd><p>Returns <code class="code">#t</code> if <var class="var">obj</var> is a flonum, <code class="code">#f</code> otherwise.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-real_002d_003eflonum"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">real->flonum</strong> <var class="def-var-arguments">x</var><a class="copiable-link" href="#index-real_002d_003eflonum"> ¶</a></span></dt>
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<dd><p>Returns the flonum that is numerically closest to the real number
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<var class="var">x</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-fl_003d_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fl=?</strong> <var class="def-var-arguments">fl1 fl2 fl3 ...</var><a class="copiable-link" href="#index-fl_003d_003f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fl_003c_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fl<?</strong> <var class="def-var-arguments">fl1 fl2 fl3 ...</var><a class="copiable-link" href="#index-fl_003c_003f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fl_003c_003d_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fl<=?</strong> <var class="def-var-arguments">fl1 fl2 fl3 ...</var><a class="copiable-link" href="#index-fl_003c_003d_003f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fl_003e_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fl>?</strong> <var class="def-var-arguments">fl1 fl2 fl3 ...</var><a class="copiable-link" href="#index-fl_003e_003f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fl_003e_003d_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fl>=?</strong> <var class="def-var-arguments">fl1 fl2 fl3 ...</var><a class="copiable-link" href="#index-fl_003e_003d_003f"> ¶</a></span></dt>
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<dd><p>These procedures return <code class="code">#t</code> if their flonum arguments are
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(respectively): equal, monotonically increasing, monotonically
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decreasing, monotonically nondecreasing, or monotonically nonincreasing;
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<code class="code">#f</code> otherwise.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-flinteger_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flinteger?</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flinteger_003f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flzero_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flzero?</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flzero_003f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flpositive_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flpositive?</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flpositive_003f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flnegative_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flnegative?</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flnegative_003f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flodd_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flodd?</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flodd_003f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fleven_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fleven?</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-fleven_003f"> ¶</a></span></dt>
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<dd><p>These numerical predicates return <code class="code">#t</code> if <var class="var">fl</var> is,
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respectively, an integer, zero, greater than zero, less than zero, odd,
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even, <code class="code">#f</code> otherwise. In the case of <code class="code">flodd?</code> and
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<code class="code">fleven?</code>, <var class="var">fl</var> must be an integer-valued flonum.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-flfinite_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flfinite?</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flfinite_003f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flinfinite_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flinfinite?</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flinfinite_003f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flnan_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flnan?</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flnan_003f"> ¶</a></span></dt>
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<dd><p>These numerical predicates return <code class="code">#t</code> if <var class="var">fl</var> is,
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respectively, not infinite, infinite, or a <code class="code">NaN</code> value.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-flmax"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flmax</strong> <var class="def-var-arguments">fl1 fl2 ...</var><a class="copiable-link" href="#index-flmax"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flmin"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flmin</strong> <var class="def-var-arguments">fl1 fl2 ...</var><a class="copiable-link" href="#index-flmin"> ¶</a></span></dt>
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<dd><p>These procedures return the maximum or minimum of their arguments.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-fl_002b"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fl+</strong> <var class="def-var-arguments">fl1 ...</var><a class="copiable-link" href="#index-fl_002b"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fl_002a"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fl*</strong> <var class="def-var-arguments">fl ...</var><a class="copiable-link" href="#index-fl_002a"> ¶</a></span></dt>
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<dd><p>These procedures return the sum or product of their arguments.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-fl_002d"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fl-</strong> <var class="def-var-arguments">fl1 fl2 ...</var><a class="copiable-link" href="#index-fl_002d"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fl_002d-1"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fl-</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-fl_002d-1"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fl_002f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fl/</strong> <var class="def-var-arguments">fl1 fl2 ...</var><a class="copiable-link" href="#index-fl_002f"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fl_002f-1"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fl/</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-fl_002f-1"> ¶</a></span></dt>
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<dd><p>These procedures return, respectively, the difference or quotient of
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their arguments when called with two arguments; when called with a
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single argument, they return the additive or multiplicative inverse of
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<var class="var">fl</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-flabs"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flabs</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flabs"> ¶</a></span></dt>
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<dd><p>Returns the absolute value of <var class="var">fl</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-fldiv_002dand_002dmod"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fldiv-and-mod</strong> <var class="def-var-arguments">fl1 fl2</var><a class="copiable-link" href="#index-fldiv_002dand_002dmod"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fldiv"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fldiv</strong> <var class="def-var-arguments">fl1 fl2</var><a class="copiable-link" href="#index-fldiv"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fldmod"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fldmod</strong> <var class="def-var-arguments">fl1 fl2</var><a class="copiable-link" href="#index-fldmod"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fldiv0_002dand_002dmod0"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fldiv0-and-mod0</strong> <var class="def-var-arguments">fl1 fl2</var><a class="copiable-link" href="#index-fldiv0_002dand_002dmod0"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fldiv0"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fldiv0</strong> <var class="def-var-arguments">fl1 fl2</var><a class="copiable-link" href="#index-fldiv0"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flmod0"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flmod0</strong> <var class="def-var-arguments">fl1 fl2</var><a class="copiable-link" href="#index-flmod0"> ¶</a></span></dt>
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<dd><p>These procedures implement number-theoretic division on flonums;
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See <a data-manual="rnrs base" href="../rnrs%20base_html/index.html">(rnrs base)</a>, for a description for their semantics.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-flnumerator"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flnumerator</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flnumerator"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fldenominator"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fldenominator</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-fldenominator"> ¶</a></span></dt>
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<dd><p>These procedures return the numerator or denominator of <var class="var">fl</var> as a
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flonum.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-flfloor"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flfloor</strong> <var class="def-var-arguments">fl1</var><a class="copiable-link" href="#index-flfloor"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flceiling"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flceiling</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flceiling"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fltruncate"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fltruncate</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-fltruncate"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flround"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flround</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flround"> ¶</a></span></dt>
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<dd><p>These procedures are identical to the <code class="code">floor</code>, <code class="code">ceiling</code>,
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<code class="code">truncate</code>, and <code class="code">round</code> procedures provided by Guile’s core
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library. See <a class="xref" href="Arithmetic.html">Arithmetic Functions</a>, for documentation.
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</p></dd></dl>
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<dl class="first-deffn">
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<dt class="deffn" id="index-flexp"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flexp</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flexp"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fllog"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fllog</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-fllog"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fllog-1"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fllog</strong> <var class="def-var-arguments">fl1 fl2</var><a class="copiable-link" href="#index-fllog-1"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flsin"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flsin</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flsin"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flcos"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flcos</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flcos"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-fltan"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fltan</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-fltan"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flasin"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flasin</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flasin"> ¶</a></span></dt>
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<dt class="deffnx def-cmd-deffn" id="index-flacos"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flacos</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flacos"> ¶</a></span></dt>
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||
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<dt class="deffnx def-cmd-deffn" id="index-flatan"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flatan</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flatan"> ¶</a></span></dt>
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||
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<dt class="deffnx def-cmd-deffn" id="index-flatan-1"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flatan</strong> <var class="def-var-arguments">fl1 fl2</var><a class="copiable-link" href="#index-flatan-1"> ¶</a></span></dt>
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<dd><p>These procedures, which compute the usual transcendental functions, are
|
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|
the flonum variants of the procedures provided by the R6RS base library
|
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|
(see <a data-manual="rnrs base" href="../rnrs%20base_html/index.html">(rnrs base)</a>).
|
||
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|
</p></dd></dl>
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||
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<dl class="first-deffn">
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||
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<dt class="deffn" id="index-flsqrt"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flsqrt</strong> <var class="def-var-arguments">fl</var><a class="copiable-link" href="#index-flsqrt"> ¶</a></span></dt>
|
||
|
|
<dd><p>Returns the square root of <var class="var">fl</var>. If <var class="var">fl</var> is <code class="code">-0.0</code>,
|
||
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|
<var class="var">-0.0</var> is returned; for other negative values, a <code class="code">NaN</code> value
|
||
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|
is returned.
|
||
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|
</p></dd></dl>
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||
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||
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<dl class="first-deffn">
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||
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<dt class="deffn" id="index-flexpt"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">flexpt</strong> <var class="def-var-arguments">fl1 fl2</var><a class="copiable-link" href="#index-flexpt"> ¶</a></span></dt>
|
||
|
|
<dd><p>Returns the value of <var class="var">fl1</var> raised to the power of <var class="var">fl2</var>.
|
||
|
|
</p></dd></dl>
|
||
|
|
|
||
|
|
<p>The following condition types are provided to allow Scheme
|
||
|
|
implementations that do not support infinities or <code class="code">NaN</code> values
|
||
|
|
to indicate that a computation resulted in such a value. Guile supports
|
||
|
|
both of these, so these conditions will never be raised by Guile’s
|
||
|
|
standard libraries implementation.
|
||
|
|
</p>
|
||
|
|
<dl class="first-deffn">
|
||
|
|
<dt class="deffn" id="index-_0026no_002dinfinities"><span class="category-def">Condition Type: </span><span><strong class="def-name">&no-infinities</strong><a class="copiable-link" href="#index-_0026no_002dinfinities"> ¶</a></span></dt>
|
||
|
|
<dt class="deffnx def-cmd-deffn" id="index-make_002dno_002dinfinities_002dviolation"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">make-no-infinities-violation</strong> <var class="def-var-arguments">obj</var><a class="copiable-link" href="#index-make_002dno_002dinfinities_002dviolation"> ¶</a></span></dt>
|
||
|
|
<dt class="deffnx def-cmd-deffn" id="index-no_002dinfinities_002dviolation_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">no-infinities-violation?</strong><a class="copiable-link" href="#index-no_002dinfinities_002dviolation_003f"> ¶</a></span></dt>
|
||
|
|
<dd><p>A condition type indicating that a computation resulted in an infinite
|
||
|
|
value on a Scheme implementation incapable of representing infinities.
|
||
|
|
</p></dd></dl>
|
||
|
|
|
||
|
|
<dl class="first-deffn">
|
||
|
|
<dt class="deffn" id="index-_0026no_002dnans"><span class="category-def">Condition Type: </span><span><strong class="def-name">&no-nans</strong><a class="copiable-link" href="#index-_0026no_002dnans"> ¶</a></span></dt>
|
||
|
|
<dt class="deffnx def-cmd-deffn" id="index-make_002dno_002dnans_002dviolation"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">make-no-nans-violation</strong> <var class="def-var-arguments">obj</var><a class="copiable-link" href="#index-make_002dno_002dnans_002dviolation"> ¶</a></span></dt>
|
||
|
|
<dt class="deffnx def-cmd-deffn" id="index-no_002dnans_002dviolation_003f"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">no-nans-violation?</strong> <var class="def-var-arguments">obj</var><a class="copiable-link" href="#index-no_002dnans_002dviolation_003f"> ¶</a></span></dt>
|
||
|
|
<dd><p>A condition type indicating that a computation resulted in a <code class="code">NaN</code>
|
||
|
|
value on a Scheme implementation incapable of representing <code class="code">NaN</code>s.
|
||
|
|
</p></dd></dl>
|
||
|
|
|
||
|
|
<dl class="first-deffn">
|
||
|
|
<dt class="deffn" id="index-fixnum_002d_003eflonum"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">fixnum->flonum</strong> <var class="def-var-arguments">fx</var><a class="copiable-link" href="#index-fixnum_002d_003eflonum"> ¶</a></span></dt>
|
||
|
|
<dd><p>Returns the flonum that is numerically closest to the fixnum <var class="var">fx</var>.
|
||
|
|
</p></dd></dl>
|
||
|
|
|
||
|
|
</div>
|
||
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<hr>
|
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<div class="nav-panel">
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||
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<p>
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||
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Next: <a href="rnrs-arithmetic-bitwise.html">rnrs arithmetic bitwise</a>, Previous: <a href="rnrs-arithmetic-fixnums.html">rnrs arithmetic fixnums</a>, Up: <a href="R6RS-Standard-Libraries.html">R6RS Standard Libraries</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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