#include "erfa.h" void eraRv2m(double w[3], double r[3][3]) /* ** - - - - - - - - ** e r a R v 2 m ** - - - - - - - - ** ** Form the r-matrix corresponding to a given r-vector. ** ** Given: ** w double[3] rotation vector (Note 1) ** ** Returned: ** r double[3][3] rotation matrix ** ** Notes: ** ** 1) A rotation matrix describes a rotation through some angle about ** some arbitrary axis called the Euler axis. The "rotation vector" ** supplied to This function has the same direction as the Euler ** axis, and its magnitude is the angle in radians. ** ** 2) If w is null, the unit matrix is returned. ** ** 3) The reference frame rotates clockwise as seen looking along the ** rotation vector from the origin. ** ** Copyright (C) 2013-2017, NumFOCUS Foundation. ** Derived, with permission, from the SOFA library. See notes at end of file. */ { double x, y, z, phi, s, c, f; /* Euler angle (magnitude of rotation vector) and functions. */ x = w[0]; y = w[1]; z = w[2]; phi = sqrt(x*x + y*y + z*z); s = sin(phi); c = cos(phi); f = 1.0 - c; /* Euler axis (direction of rotation vector), perhaps null. */ if (phi > 0.0) { x /= phi; y /= phi; z /= phi; } /* Form the rotation matrix. */ r[0][0] = x*x*f + c; r[0][1] = x*y*f + z*s; r[0][2] = x*z*f - y*s; r[1][0] = y*x*f - z*s; r[1][1] = y*y*f + c; r[1][2] = y*z*f + x*s; r[2][0] = z*x*f + y*s; r[2][1] = z*y*f - x*s; r[2][2] = z*z*f + c; return; } /*---------------------------------------------------------------------- ** ** ** Copyright (C) 2013-2017, NumFOCUS Foundation. ** All rights reserved. ** ** This library is derived, with permission, from the International ** Astronomical Union's "Standards of Fundamental Astronomy" library, ** available from http://www.iausofa.org. ** ** The ERFA version is intended to retain identical functionality to ** the SOFA library, but made distinct through different function and ** file names, as set out in the SOFA license conditions. The SOFA ** original has a role as a reference standard for the IAU and IERS, ** and consequently redistribution is permitted only in its unaltered ** state. The ERFA version is not subject to this restriction and ** therefore can be included in distributions which do not support the ** concept of "read only" software. ** ** Although the intent is to replicate the SOFA API (other than ** replacement of prefix names) and results (with the exception of ** bugs; any that are discovered will be fixed), SOFA is not ** responsible for any errors found in this version of the library. ** ** If you wish to acknowledge the SOFA heritage, please acknowledge ** that you are using a library derived from SOFA, rather than SOFA ** itself. ** ** ** TERMS AND CONDITIONS ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** 1 Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** 2 Redistributions in binary form must reproduce the above copyright ** notice, this list of conditions and the following disclaimer in ** the documentation and/or other materials provided with the ** distribution. ** ** 3 Neither the name of the Standards Of Fundamental Astronomy Board, ** the International Astronomical Union nor the names of its ** contributors may be used to endorse or promote products derived ** from this software without specific prior written permission. ** ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE ** POSSIBILITY OF SUCH DAMAGE. ** */