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<h4 class="subsubsection" id="Complex-Number-Operations"><span>6.6.2.10 Complex Number Operations<a class="copiable-link" href="#Complex-Number-Operations"> &para;</a></span></h4>
<a class="index-entry-id" id="index-make_002drectangular-2"></a>
<a class="index-entry-id" id="index-make_002dpolar-2"></a>
<a class="index-entry-id" id="index-real_002dpart-2"></a>
<a class="index-entry-id" id="index-imag_002dpart-2"></a>
<a class="index-entry-id" id="index-magnitude-2"></a>
<a class="index-entry-id" id="index-angle-2"></a>
<dl class="first-deffn">
<dt class="deffn" id="index-make_002drectangular"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">make-rectangular</strong> <var class="def-var-arguments">real_part imaginary_part</var><a class="copiable-link" href="#index-make_002drectangular"> &para;</a></span></dt>
<dt class="deffnx def-cmd-deffn" id="index-scm_005fmake_005frectangular"><span class="category-def">C Function: </span><span><strong class="def-name">scm_make_rectangular</strong> <var class="def-var-arguments">(real_part, imaginary_part)</var><a class="copiable-link" href="#index-scm_005fmake_005frectangular"> &para;</a></span></dt>
<dd><p>Return a complex number constructed of the given <var class="var">real-part</var> and <var class="var">imaginary-part</var> parts.
</p></dd></dl>
<dl class="first-deffn">
<dt class="deffn" id="index-make_002dpolar"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">make-polar</strong> <var class="def-var-arguments">mag ang</var><a class="copiable-link" href="#index-make_002dpolar"> &para;</a></span></dt>
<dt class="deffnx def-cmd-deffn" id="index-scm_005fmake_005fpolar"><span class="category-def">C Function: </span><span><strong class="def-name">scm_make_polar</strong> <var class="def-var-arguments">(mag, ang)</var><a class="copiable-link" href="#index-scm_005fmake_005fpolar"> &para;</a></span></dt>
<dd><a class="index-entry-id" id="index-polar-form-1"></a>
<p>Return the complex number <var class="var">mag</var> * e^(i * <var class="var">ang</var>).
</p></dd></dl>
<dl class="first-deffn">
<dt class="deffn" id="index-real_002dpart"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">real-part</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-real_002dpart"> &para;</a></span></dt>
<dt class="deffnx def-cmd-deffn" id="index-scm_005freal_005fpart"><span class="category-def">C Function: </span><span><strong class="def-name">scm_real_part</strong> <var class="def-var-arguments">(z)</var><a class="copiable-link" href="#index-scm_005freal_005fpart"> &para;</a></span></dt>
<dd><p>Return the real part of the number <var class="var">z</var>.
</p></dd></dl>
<dl class="first-deffn">
<dt class="deffn" id="index-imag_002dpart"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">imag-part</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-imag_002dpart"> &para;</a></span></dt>
<dt class="deffnx def-cmd-deffn" id="index-scm_005fimag_005fpart"><span class="category-def">C Function: </span><span><strong class="def-name">scm_imag_part</strong> <var class="def-var-arguments">(z)</var><a class="copiable-link" href="#index-scm_005fimag_005fpart"> &para;</a></span></dt>
<dd><p>Return the imaginary part of the number <var class="var">z</var>.
</p></dd></dl>
<dl class="first-deffn">
<dt class="deffn" id="index-magnitude"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">magnitude</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-magnitude"> &para;</a></span></dt>
<dt class="deffnx def-cmd-deffn" id="index-scm_005fmagnitude"><span class="category-def">C Function: </span><span><strong class="def-name">scm_magnitude</strong> <var class="def-var-arguments">(z)</var><a class="copiable-link" href="#index-scm_005fmagnitude"> &para;</a></span></dt>
<dd><p>Return the magnitude of the number <var class="var">z</var>. This is the same as
<code class="code">abs</code> for real arguments, but also allows complex numbers.
</p></dd></dl>
<dl class="first-deffn">
<dt class="deffn" id="index-angle"><span class="category-def">Scheme Procedure: </span><span><strong class="def-name">angle</strong> <var class="def-var-arguments">z</var><a class="copiable-link" href="#index-angle"> &para;</a></span></dt>
<dt class="deffnx def-cmd-deffn" id="index-scm_005fangle"><span class="category-def">C Function: </span><span><strong class="def-name">scm_angle</strong> <var class="def-var-arguments">(z)</var><a class="copiable-link" href="#index-scm_005fangle"> &para;</a></span></dt>
<dd><p>Return the angle of the complex number <var class="var">z</var>.
</p></dd></dl>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-scm_005fc_005fmake_005frectangular"><span class="category-def">C Function: </span><span><code class="def-type">SCM</code> <strong class="def-name">scm_c_make_rectangular</strong> <code class="def-code-arguments">(double re, double im)</code><a class="copiable-link" href="#index-scm_005fc_005fmake_005frectangular"> &para;</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scm_005fc_005fmake_005fpolar"><span class="category-def">C Function: </span><span><code class="def-type">SCM</code> <strong class="def-name">scm_c_make_polar</strong> <code class="def-code-arguments">(double x, double y)</code><a class="copiable-link" href="#index-scm_005fc_005fmake_005fpolar"> &para;</a></span></dt>
<dd><p>Like <code class="code">scm_make_rectangular</code> or <code class="code">scm_make_polar</code>,
respectively, but these functions take <code class="code">double</code>s as their
arguments.
</p></dd></dl>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-scm_005fc_005freal_005fpart"><span class="category-def">C Function: </span><span><code class="def-type">double</code> <strong class="def-name">scm_c_real_part</strong> <code class="def-code-arguments">(z)</code><a class="copiable-link" href="#index-scm_005fc_005freal_005fpart"> &para;</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scm_005fc_005fimag_005fpart"><span class="category-def">C Function: </span><span><code class="def-type">double</code> <strong class="def-name">scm_c_imag_part</strong> <code class="def-code-arguments">(z)</code><a class="copiable-link" href="#index-scm_005fc_005fimag_005fpart"> &para;</a></span></dt>
<dd><p>Returns the real or imaginary part of <var class="var">z</var> as a <code class="code">double</code>.
</p></dd></dl>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-scm_005fc_005fmagnitude"><span class="category-def">C Function: </span><span><code class="def-type">double</code> <strong class="def-name">scm_c_magnitude</strong> <code class="def-code-arguments">(z)</code><a class="copiable-link" href="#index-scm_005fc_005fmagnitude"> &para;</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scm_005fc_005fangle"><span class="category-def">C Function: </span><span><code class="def-type">double</code> <strong class="def-name">scm_c_angle</strong> <code class="def-code-arguments">(z)</code><a class="copiable-link" href="#index-scm_005fc_005fangle"> &para;</a></span></dt>
<dd><p>Returns the magnitude or angle of <var class="var">z</var> as a <code class="code">double</code>.
</p></dd></dl>
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