Line data Source code
1 : /* +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
2 : Copyright (c) 2011-2019 The plumed team
3 : (see the PEOPLE file at the root of the distribution for a list of names)
4 :
5 : See http://www.plumed.org for more information.
6 :
7 : This file is part of plumed, version 2.
8 :
9 : plumed is free software: you can redistribute it and/or modify
10 : it under the terms of the GNU Lesser General Public License as published by
11 : the Free Software Foundation, either version 3 of the License, or
12 : (at your option) any later version.
13 :
14 : plumed is distributed in the hope that it will be useful,
15 : but WITHOUT ANY WARRANTY; without even the implied warranty of
16 : MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
17 : GNU Lesser General Public License for more details.
18 :
19 : You should have received a copy of the GNU Lesser General Public License
20 : along with plumed. If not, see <http://www.gnu.org/licenses/>.
21 : +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ */
22 : #include "Angle.h"
23 : #include "Tools.h"
24 : #include <cmath>
25 :
26 : namespace PLMD {
27 :
28 0 : double Angle::compute(const Vector& v1,const Vector& v2)const {
29 0 : return std::acos(dotProduct(v1,v2)/(v1.modulo()*v2.modulo()));
30 : }
31 :
32 543449 : double Angle::compute(const Vector& v1,const Vector& v2,Vector& d1,Vector& d2)const {
33 543449 : const double dp(dotProduct(v1,v2));
34 : const Vector& dp_dv1(v2);
35 : const Vector& dp_dv2(v1);
36 543449 : const double sv1(v1.modulo2());
37 543449 : const double sv2(v2.modulo2());
38 543449 : const Vector dsv1_dv1(2*v1);
39 543449 : const Vector dsv2_dv2(2*v2);
40 543449 : const double nn(1.0/sqrt(sv1*sv2));
41 543449 : const Vector dnn_dv1(-0.5*nn/sv1*dsv1_dv1);
42 543449 : const Vector dnn_dv2(-0.5*nn/sv2*dsv2_dv2);
43 :
44 543449 : const double dpnn(dp*nn);
45 :
46 543449 : if(dpnn>=1.0-epsilon) {
47 0 : d1=Vector(0.0,0.0,0.0);
48 0 : d2=Vector(0.0,0.0,0.0);
49 0 : return 0.0;
50 : }
51 543449 : if(dpnn<=-1.0+epsilon) {
52 0 : d1=Vector(0.0,0.0,0.0);
53 0 : d2=Vector(0.0,0.0,0.0);
54 0 : return pi;
55 : }
56 543449 : const Vector ddpnn_dv1(dp*dnn_dv1+dp_dv1*nn);
57 543449 : const Vector ddpnn_dv2(dp*dnn_dv2+dp_dv2*nn);
58 :
59 543449 : const double x(-1.0/sqrt(1-dpnn*dpnn));
60 :
61 543449 : d1=x*ddpnn_dv1;
62 543449 : d2=x*ddpnn_dv2;
63 :
64 :
65 543449 : return std::acos(dpnn);
66 : }
67 :
68 : }
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