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#include "erfa.h" |
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double eraPap(double a[3], double b[3]) |
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/* |
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** - - - - - - - |
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** e r a P a p |
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** - - - - - - - |
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** |
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** Position-angle from two p-vectors. |
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** |
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** Given: |
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** a double[3] direction of reference point |
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** b double[3] direction of point whose PA is required |
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** |
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** Returned (function value): |
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** double position angle of b with respect to a (radians) |
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** |
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** Notes: |
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** |
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** 1) The result is the position angle, in radians, of direction b with |
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** respect to direction a. It is in the range -pi to +pi. The |
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** sense is such that if b is a small distance "north" of a the |
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** position angle is approximately zero, and if b is a small |
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** distance "east" of a the position angle is approximately +pi/2. |
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** |
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** 2) The vectors a and b need not be of unit length. |
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** |
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** 3) Zero is returned if the two directions are the same or if either |
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** vector is null. |
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** |
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** 4) If vector a is at a pole, the result is ill-defined. |
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** |
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** Called: |
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** eraPn decompose p-vector into modulus and direction |
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** eraPm modulus of p-vector |
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** eraPxp vector product of two p-vectors |
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** eraPmp p-vector minus p-vector |
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** eraPdp scalar product of two p-vectors |
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** |
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** Copyright (C) 2013-2019, NumFOCUS Foundation. |
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** Derived, with permission, from the SOFA library. See notes at end of file. |
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*/ |
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{ |
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double am, au[3], bm, st, ct, xa, ya, za, eta[3], xi[3], a2b[3], pa; |
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/* Modulus and direction of the a vector. */ |
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eraPn(a, &am, au); |
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/* Modulus of the b vector. */ |
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bm = eraPm(b); |
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/* Deal with the case of a null vector. */ |
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if ((am == 0.0) || (bm == 0.0)) { |
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st = 0.0; |
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ct = 1.0; |
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} else { |
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/* The "north" axis tangential from a (arbitrary length). */ |
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xa = a[0]; |
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ya = a[1]; |
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za = a[2]; |
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eta[0] = -xa * za; |
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eta[1] = -ya * za; |
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eta[2] = xa*xa + ya*ya; |
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/* The "east" axis tangential from a (same length). */ |
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eraPxp(eta, au, xi); |
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/* The vector from a to b. */ |
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eraPmp(b, a, a2b); |
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/* Resolve into components along the north and east axes. */ |
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st = eraPdp(a2b, xi); |
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ct = eraPdp(a2b, eta); |
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/* Deal with degenerate cases. */ |
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if ((st == 0.0) && (ct == 0.0)) ct = 1.0; |
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} |
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/* Position angle. */ |
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pa = atan2(st, ct); |
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return pa; |
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} |
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/*---------------------------------------------------------------------- |
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** |
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** |
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** Copyright (C) 2013-2019, NumFOCUS Foundation. |
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** All rights reserved. |
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** |
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** This library is derived, with permission, from the International |
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** Astronomical Union's "Standards of Fundamental Astronomy" library, |
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** available from http://www.iausofa.org. |
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** |
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** The ERFA version is intended to retain identical functionality to |
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** the SOFA library, but made distinct through different function and |
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** file names, as set out in the SOFA license conditions. The SOFA |
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** original has a role as a reference standard for the IAU and IERS, |
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** and consequently redistribution is permitted only in its unaltered |
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** state. The ERFA version is not subject to this restriction and |
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** therefore can be included in distributions which do not support the |
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** concept of "read only" software. |
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** |
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** Although the intent is to replicate the SOFA API (other than |
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** replacement of prefix names) and results (with the exception of |
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** bugs; any that are discovered will be fixed), SOFA is not |
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** responsible for any errors found in this version of the library. |
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** |
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** If you wish to acknowledge the SOFA heritage, please acknowledge |
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** that you are using a library derived from SOFA, rather than SOFA |
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** itself. |
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** |
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** |
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** TERMS AND CONDITIONS |
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** |
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** Redistribution and use in source and binary forms, with or without |
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** modification, are permitted provided that the following conditions |
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** are met: |
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** |
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** 1 Redistributions of source code must retain the above copyright |
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** notice, this list of conditions and the following disclaimer. |
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** |
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** 2 Redistributions in binary form must reproduce the above copyright |
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** notice, this list of conditions and the following disclaimer in |
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** the documentation and/or other materials provided with the |
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** distribution. |
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** |
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** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
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** the International Astronomical Union nor the names of its |
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** contributors may be used to endorse or promote products derived |
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** from this software without specific prior written permission. |
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** |
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** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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** POSSIBILITY OF SUCH DAMAGE. |
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** |
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*/ |