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<title>Coordinate Transformations - Untitled</title>
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Next: <a rel="next" accesskey="n" href="Mathematical-Constants.html#Mathematical-Constants">Mathematical Constants</a>,
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<h3 class="section">17.7 Coordinate Transformations</h3>
<!-- ./general/cart2pol.m -->
<p><a name="doc_002dcart2pol"></a>
<div class="defun">
— Function File: [<var>theta</var>, <var>r</var>] = <b>cart2pol</b> (<var>x, y</var>)<var><a name="index-cart2pol-1503"></a></var><br>
— Function File: [<var>theta</var>, <var>r</var>, <var>z</var>] = <b>cart2pol</b> (<var>x, y, z</var>)<var><a name="index-cart2pol-1504"></a></var><br>
<blockquote><p>Transform Cartesian to polar or cylindrical coordinates.
<var>x</var>, <var>y</var> (and <var>z</var>) must be the same shape, or scalar.
<var>theta</var> describes the angle relative to the positive x-axis.
<var>r</var> is the distance to the z-axis (0, 0, z).
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dpol2cart.html#doc_002dpol2cart">pol2cart</a>, <a href="doc_002dcart2sph.html#doc_002dcart2sph">cart2sph</a>, <a href="doc_002dsph2cart.html#doc_002dsph2cart">sph2cart</a>.
</p></blockquote></div>
<!-- ./general/pol2cart.m -->
<p><a name="doc_002dpol2cart"></a>
<div class="defun">
— Function File: [<var>x</var>, <var>y</var>] = <b>pol2cart</b> (<var>theta, r</var>)<var><a name="index-pol2cart-1505"></a></var><br>
— Function File: [<var>x</var>, <var>y</var>, <var>z</var>] = <b>pol2cart</b> (<var>theta, r, z</var>)<var><a name="index-pol2cart-1506"></a></var><br>
<blockquote><p>Transform polar or cylindrical to Cartesian coordinates.
<var>theta</var>, <var>r</var> (and <var>z</var>) must be the same shape, or scalar.
<var>theta</var> describes the angle relative to the positive x-axis.
<var>r</var> is the distance to the z-axis (0, 0, z).
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dcart2pol.html#doc_002dcart2pol">cart2pol</a>, <a href="doc_002dcart2sph.html#doc_002dcart2sph">cart2sph</a>, <a href="doc_002dsph2cart.html#doc_002dsph2cart">sph2cart</a>.
</p></blockquote></div>
<!-- ./general/cart2sph.m -->
<p><a name="doc_002dcart2sph"></a>
<div class="defun">
— Function File: [<var>theta</var>, <var>phi</var>, <var>r</var>] = <b>cart2sph</b> (<var>x, y, z</var>)<var><a name="index-cart2sph-1507"></a></var><br>
<blockquote><p>Transform Cartesian to spherical coordinates.
<var>x</var>, <var>y</var> and <var>z</var> must be the same shape, or scalar.
<var>theta</var> describes the angle relative to the positive x-axis.
<var>phi</var> is the angle relative to the xy-plane.
<var>r</var> is the distance to the origin (0, 0, 0).
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dpol2cart.html#doc_002dpol2cart">pol2cart</a>, <a href="doc_002dcart2pol.html#doc_002dcart2pol">cart2pol</a>, <a href="doc_002dsph2cart.html#doc_002dsph2cart">sph2cart</a>.
</p></blockquote></div>
<!-- ./general/sph2cart.m -->
<p><a name="doc_002dsph2cart"></a>
<div class="defun">
— Function File: [<var>x</var>, <var>y</var>, <var>z</var>] = <b>sph2cart</b> (<var>theta, phi, r</var>)<var><a name="index-sph2cart-1508"></a></var><br>
<blockquote><p>Transform spherical to Cartesian coordinates.
<var>x</var>, <var>y</var> and <var>z</var> must be the same shape, or scalar.
<var>theta</var> describes the angle relative to the positive x-axis.
<var>phi</var> is the angle relative to the xy-plane.
<var>r</var> is the distance to the origin (0, 0, 0).
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dpol2cart.html#doc_002dpol2cart">pol2cart</a>, <a href="doc_002dcart2pol.html#doc_002dcart2pol">cart2pol</a>, <a href="doc_002dcart2sph.html#doc_002dcart2sph">cart2sph</a>.
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