https://spindynamics.org/wiki/index.php?action=history&feed=atom&title=Euler_equiv.m 2026-10-04T16:57:15Z Revision history for this page on the wiki MediaWiki 1.31.15 https://spindynamics.org/wiki/index.php?title=Euler_equiv.m&diff=10219&oldid=prev 2026-08-30T09:11:30Z

<p>version fragment to 2.13 per IK 2026-08-30</p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 09:11, 30 August 2026</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l27" >Line 27:</td> <td colspan="2" class="diff-lineno">Line 27:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[euler2dcm.m]], [[euler_sup.m]], [[dcm2euler.m]], [[euler2qter.m]], [[Rotation conventions]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[euler2dcm.m]], [[euler_sup.m]], [[dcm2euler.m]], [[euler2qter.m]], [[Rotation conventions]]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>''Version 2.<del class="diffchange diffchange-inline">11</del>, authors: [[Ilya Kuprov]]''</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>''Version 2.<ins class="diffchange diffchange-inline">13</ins>, authors: [[Ilya Kuprov]]''</div></td></tr> </table>

Kuprov https://spindynamics.org/wiki/index.php?title=Euler_equiv.m&diff=10089&oldid=prev 2026-08-30T08:02:59Z

<p>new page for Spinach main f053e432: documents euler_equiv.m from the source header and implementation</p> <p><b>New page</b></p><div>{{DISPLAYTITLE:euler_equiv.m}} __NOTOC__<br /> Checks whether two ZYZ active Euler angle sets specify the same rotation. Both angle sets are cast into row vectors and converted into direction cosine matrices by [[euler2dcm.m]] function. The relative rotation is formed as the product of the second matrix with the transpose of the first one; the sine of its rotation angle is obtained as half the Euclidean norm of the vector of the antisymmetric part, the cosine as (trace-1)/2, and the cosine is clamped into the [-1,1] interval to absorb round-off. The geodesic distance on SO(3) is then computed with atan2 and compared with the tolerance.<br /> <br /> ==Syntax==<br /> <br /> answer=euler_equiv(eulers_a,eulers_b,tol)<br /> <br /> ==Parameters==<br /> <br /> eulers_a - first Euler angle set [alpha beta gamma],<br /> radians, ZYZ active convention<br /> <br /> eulers_b - second Euler angle set [alpha beta gamma],<br /> radians, ZYZ active convention<br /> <br /> tol - non-negative angular tolerance, radians<br /> <br /> ==Outputs==<br /> <br /> answer - true if the relative rotation angle between<br /> the two rotations is not greater than tol<br /> <br /> ==Notes==<br /> Note: Euler angles are not unique, and so this function compares the rotations produced by euler2dcm(), not the angles themselves.<br /> <br /> ==See also==<br /> [[euler2dcm.m]], [[euler_sup.m]], [[dcm2euler.m]], [[euler2qter.m]], [[Rotation conventions]]<br /> <br /> ''Version 2.11, authors: [[Ilya Kuprov]]''</div>

Kuprov