<html lang="en"> <head> <title>Coordinate Transformations - Untitled</title> <meta http-equiv="Content-Type" content="text/html"> <meta name="description" content="Untitled"> <meta name="generator" content="makeinfo 4.13"> <link title="Top" rel="start" href="index.html#Top"> <link rel="up" href="Arithmetic.html#Arithmetic" title="Arithmetic"> <link rel="prev" href="Special-Functions.html#Special-Functions" title="Special Functions"> <link rel="next" href="Mathematical-Constants.html#Mathematical-Constants" title="Mathematical Constants"> <link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage"> <meta http-equiv="Content-Style-Type" content="text/css"> <style type="text/css"><!-- pre.display { font-family:inherit } pre.format { font-family:inherit } pre.smalldisplay { font-family:inherit; font-size:smaller } pre.smallformat { font-family:inherit; font-size:smaller } pre.smallexample { font-size:smaller } pre.smalllisp { font-size:smaller } span.sc { font-variant:small-caps } span.roman { font-family:serif; font-weight:normal; } span.sansserif { font-family:sans-serif; font-weight:normal; } --></style> </head> <body> <div class="node"> <a name="Coordinate-Transformations"></a> <p> Next: <a rel="next" accesskey="n" href="Mathematical-Constants.html#Mathematical-Constants">Mathematical Constants</a>, Previous: <a rel="previous" accesskey="p" href="Special-Functions.html#Special-Functions">Special Functions</a>, Up: <a rel="up" accesskey="u" href="Arithmetic.html#Arithmetic">Arithmetic</a> <hr> </div> <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). <!-- Texinfo @sp should work but in practice produces ugly results for HTML. --> <!-- A simple blank line produces the correct behavior. --> <!-- @sp 1 --> <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). <!-- Texinfo @sp should work but in practice produces ugly results for HTML. --> <!-- A simple blank line produces the correct behavior. --> <!-- @sp 1 --> <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). <!-- Texinfo @sp should work but in practice produces ugly results for HTML. --> <!-- A simple blank line produces the correct behavior. --> <!-- @sp 1 --> <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). <!-- Texinfo @sp should work but in practice produces ugly results for HTML. --> <!-- A simple blank line produces the correct behavior. --> <!-- @sp 1 --> <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>. </p></blockquote></div> </body></html>