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root/group/trunk/OOPSE/libmdtools/DirectionalAtom.cpp
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Comparing trunk/OOPSE/libmdtools/DirectionalAtom.cpp (file contents):
Revision 597 by mmeineke, Mon Jul 14 21:28:54 2003 UTC vs.
Revision 1452 by tim, Mon Aug 23 15:11:36 2004 UTC

# Line 1 | Line 1
1 < #include <cmath>
1 > #include <math.h>
2  
3   #include "Atom.hpp"
4 + #include "DirectionalAtom.hpp"
5 + #include "simError.h"
6 + #include "MatVec3.h"
7  
8 + void DirectionalAtom::zeroForces() {
9 +  if( hasCoords ){
10  
11 +    Atom::zeroForces();
12 +    
13 +    trq[offsetX] = 0.0;
14 +    trq[offsetY] = 0.0;
15 +    trq[offsetZ] = 0.0;
16 +  }
17 +  else{
18 +    
19 +    sprintf( painCave.errMsg,
20 +             "Attempt to zero frc and trq for atom %d before coords set.\n",
21 +             index );
22 +    painCave.isFatal = 1;
23 +    simError();
24 +  }
25 + }
26  
27 + void DirectionalAtom::setCoords(void){
28 +
29 +  if( myConfig->isAllocated() ){
30 +
31 +    myConfig->getAtomPointers( index,
32 +                     &pos,
33 +                     &vel,
34 +                     &frc,
35 +                     &trq,
36 +                     &Amat,
37 +                     &mu,  
38 +                     &ul,
39 +                     &quat);
40 +  }
41 +  else{
42 +    sprintf( painCave.errMsg,
43 +             "Attempted to set Atom %d  coordinates with an unallocated "
44 +             "SimState object.\n", index );
45 +    painCave.isFatal = 1;
46 +    simError();
47 +  }
48 +
49 +  hasCoords = true;
50 +
51 + }
52 +
53   void DirectionalAtom::setA( double the_A[3][3] ){
8 –  
9 –  Amat[Axx] = the_A[0][0]; Amat[Axy] = the_A[0][1]; Amat[Axz] = the_A[0][2];
10 –  Amat[Ayx] = the_A[1][0]; Amat[Ayy] = the_A[1][1]; Amat[Ayz] = the_A[1][2];
11 –  Amat[Azx] = the_A[2][0]; Amat[Azy] = the_A[2][1]; Amat[Azz] = the_A[2][2];
54  
55 <  this->updateU();  
55 >  if( hasCoords ){
56 >    Amat[Axx] = the_A[0][0]; Amat[Axy] = the_A[0][1]; Amat[Axz] = the_A[0][2];
57 >    Amat[Ayx] = the_A[1][0]; Amat[Ayy] = the_A[1][1]; Amat[Ayz] = the_A[1][2];
58 >    Amat[Azx] = the_A[2][0]; Amat[Azy] = the_A[2][1]; Amat[Azz] = the_A[2][2];
59 >    
60 >    this->updateU();  
61 >  }
62 >  else{
63 >    
64 >    sprintf( painCave.errMsg,
65 >             "Attempt to set Amat for atom %d before coords set.\n",
66 >             index );
67 >    painCave.isFatal = 1;
68 >    simError();
69 >  }
70   }
71  
72 < void DirectionalAtom::setI( double the_I[3][3] ){
72 > void DirectionalAtom::setI( double the_I[3][3] ){  
73    
74    Ixx = the_I[0][0]; Ixy = the_I[0][1]; Ixz = the_I[0][2];
75    Iyx = the_I[1][0]; Iyy = the_I[1][1]; Iyz = the_I[1][2];
# Line 24 | Line 80 | void DirectionalAtom::setQ( double the_q[4] ){
80  
81    double q0Sqr, q1Sqr, q2Sqr, q3Sqr;
82  
83 <  q0Sqr = the_q[0] * the_q[0];
84 <  q1Sqr = the_q[1] * the_q[1];
85 <  q2Sqr = the_q[2] * the_q[2];
86 <  q3Sqr = the_q[3] * the_q[3];
87 <  
83 >  if( hasCoords ){
84 >    q0Sqr = the_q[0] * the_q[0];
85 >    q1Sqr = the_q[1] * the_q[1];
86 >    q2Sqr = the_q[2] * the_q[2];
87 >    q3Sqr = the_q[3] * the_q[3];
88 >    
89 >    
90 >    Amat[Axx] = q0Sqr + q1Sqr - q2Sqr - q3Sqr;
91 >    Amat[Axy] = 2.0 * ( the_q[1] * the_q[2] + the_q[0] * the_q[3] );
92 >    Amat[Axz] = 2.0 * ( the_q[1] * the_q[3] - the_q[0] * the_q[2] );
93 >    
94 >    Amat[Ayx] = 2.0 * ( the_q[1] * the_q[2] - the_q[0] * the_q[3] );
95 >    Amat[Ayy] = q0Sqr - q1Sqr + q2Sqr - q3Sqr;
96 >    Amat[Ayz] = 2.0 * ( the_q[2] * the_q[3] + the_q[0] * the_q[1] );
97 >    
98 >    Amat[Azx] = 2.0 * ( the_q[1] * the_q[3] + the_q[0] * the_q[2] );
99 >    Amat[Azy] = 2.0 * ( the_q[2] * the_q[3] - the_q[0] * the_q[1] );
100 >    Amat[Azz] = q0Sqr - q1Sqr -q2Sqr +q3Sqr;
101 >    
102 >    this->updateU();
103 >  }
104 >  else{
105 >    
106 >    sprintf( painCave.errMsg,
107 >             "Attempt to set Q for atom %d before coords set.\n",
108 >             index );
109 >    painCave.isFatal = 1;
110 >    simError();
111 >  }
112  
33 –  Amat[Axx] = q0Sqr + q1Sqr - q2Sqr - q3Sqr;
34 –  Amat[Axy] = 2.0 * ( the_q[1] * the_q[2] + the_q[0] * the_q[3] );
35 –  Amat[Axz] = 2.0 * ( the_q[1] * the_q[3] - the_q[0] * the_q[2] );
36 –  
37 –  Amat[Ayx] = 2.0 * ( the_q[1] * the_q[2] - the_q[0] * the_q[3] );
38 –  Amat[Ayy] = q0Sqr - q1Sqr + q2Sqr - q3Sqr;
39 –  Amat[Ayz] = 2.0 * ( the_q[2] * the_q[3] + the_q[0] * the_q[1] );
40 –
41 –  Amat[Azx] = 2.0 * ( the_q[1] * the_q[3] + the_q[0] * the_q[2] );
42 –  Amat[Azy] = 2.0 * ( the_q[2] * the_q[3] - the_q[0] * the_q[1] );
43 –  Amat[Azz] = q0Sqr - q1Sqr -q2Sqr +q3Sqr;
44 –
45 –  this->updateU();
113   }
114  
115   void DirectionalAtom::getA( double the_A[3][3] ){
116    
117 <  the_A[0][0] = Amat[Axx];
118 <  the_A[0][1] = Amat[Axy];
119 <  the_A[0][2] = Amat[Axz];
117 >  if( hasCoords ){
118 >    the_A[0][0] = Amat[Axx];
119 >    the_A[0][1] = Amat[Axy];
120 >    the_A[0][2] = Amat[Axz];
121 >    
122 >    the_A[1][0] = Amat[Ayx];
123 >    the_A[1][1] = Amat[Ayy];
124 >    the_A[1][2] = Amat[Ayz];
125 >    
126 >    the_A[2][0] = Amat[Azx];
127 >    the_A[2][1] = Amat[Azy];
128 >    the_A[2][2] = Amat[Azz];
129 >  }
130 >  else{
131 >    
132 >    sprintf( painCave.errMsg,
133 >             "Attempt to get Amat for atom %d before coords set.\n",
134 >             index );
135 >    painCave.isFatal = 1;
136 >    simError();
137 >  }
138  
54 –  the_A[1][0] = Amat[Ayx];
55 –  the_A[1][1] = Amat[Ayy];
56 –  the_A[1][2] = Amat[Ayz];
57 –
58 –  the_A[2][0] = Amat[Azx];
59 –  the_A[2][1] = Amat[Azy];
60 –  the_A[2][2] = Amat[Azz];
139   }
140  
141   void DirectionalAtom::printAmatIndex( void ){
142  
143 <  std::cerr << "Atom[" << index << "] index =>\n"
144 <            << "[ " << Axx << ", " << Axy << ", " << Axz << " ]\n"
145 <            << "[ " << Ayx << ", " << Ayy << ", " << Ayz << " ]\n"
146 <            << "[ " << Azx << ", " << Azy << ", " << Azz << " ]\n";
143 >  if( hasCoords ){
144 >    std::cerr << "Atom[" << index << "] index =>\n"
145 >              << "[ " << Axx << ", " << Axy << ", " << Axz << " ]\n"
146 >              << "[ " << Ayx << ", " << Ayy << ", " << Ayz << " ]\n"
147 >              << "[ " << Azx << ", " << Azy << ", " << Azz << " ]\n";
148 >  }
149 >  else{
150 >    
151 >    sprintf( painCave.errMsg,
152 >             "Attempt to print Amat indices for atom %d before coords set.\n",
153 >             index );
154 >    painCave.isFatal = 1;
155 >    simError();
156 >  }
157   }
158  
159  
160   void DirectionalAtom::getU( double the_u[3] ){
161    
162 <  the_u[0] = sux;
163 <  the_u[1] = suy;
164 <  the_u[2] = suz;
165 <
162 >  the_u[0] = sU[2][0];
163 >  the_u[1] = sU[2][1];
164 >  the_u[2] = sU[2][2];
165 >  
166    this->body2Lab( the_u );
167   }
168  
# Line 83 | Line 171 | void DirectionalAtom::getQ( double q[4] ){
171    double t, s;
172    double ad1, ad2, ad3;
173  
174 <  t = Amat[Axx] + Amat[Ayy] + Amat[Azz] + 1.0;
87 <  if( t > 0.0 ){
174 >  if( hasCoords ){
175      
176 <    s = 0.5 / sqrt( t );
177 <    q[0] = 0.25 / s;
91 <    q[1] = (Amat[Ayz] - Amat[Azy]) * s;
92 <    q[2] = (Amat[Azx] - Amat[Axz]) * s;
93 <    q[3] = (Amat[Axy] - Amat[Ayx]) * s;
94 <  }
95 <  else{
96 <    
97 <    ad1 = fabs( Amat[Axx] );
98 <    ad2 = fabs( Amat[Ayy] );
99 <    ad3 = fabs( Amat[Azz] );
100 <
101 <    if( ad1 >= ad2 && ad1 >= ad3 ){
176 >    t = Amat[Axx] + Amat[Ayy] + Amat[Azz] + 1.0;
177 >    if( t > 0.0 ){
178        
179 <      s = 2.0 * sqrt( 1.0 + Amat[Axx] - Amat[Ayy] - Amat[Azz] );
180 <      q[0] = (Amat[Ayz] + Amat[Azy]) / s;
181 <      q[1] = 0.5 / s;
182 <      q[2] = (Amat[Axy] + Amat[Ayx]) / s;
183 <      q[3] = (Amat[Axz] + Amat[Azx]) / s;
179 >      s = 0.5 / sqrt( t );
180 >      q[0] = 0.25 / s;
181 >      q[1] = (Amat[Ayz] - Amat[Azy]) * s;
182 >      q[2] = (Amat[Azx] - Amat[Axz]) * s;
183 >      q[3] = (Amat[Axy] - Amat[Ayx]) * s;
184      }
109 –    else if( ad2 >= ad1 && ad2 >= ad3 ){
110 –
111 –      s = sqrt( 1.0 + Amat[Ayy] - Amat[Axx] - Amat[Azz] ) * 2.0;
112 –      q[0] = (Amat[Axz] + Amat[Azx]) / s;
113 –      q[1] = (Amat[Axy] + Amat[Ayx]) / s;
114 –      q[2] = 0.5 / s;
115 –      q[3] = (Amat[Ayz] + Amat[Azy]) / s;
116 –    }
185      else{
186        
187 <      s = sqrt( 1.0 + Amat[Azz] - Amat[Axx] - Amat[Ayy] ) * 2.0;
188 <      q[0] = (Amat[Axy] + Amat[Ayx]) / s;
189 <      q[1] = (Amat[Axz] + Amat[Azx]) / s;
190 <      q[2] = (Amat[Ayz] + Amat[Azy]) / s;
191 <      q[3] = 0.5 / s;
187 >      ad1 = fabs( Amat[Axx] );
188 >      ad2 = fabs( Amat[Ayy] );
189 >      ad3 = fabs( Amat[Azz] );
190 >      
191 >      if( ad1 >= ad2 && ad1 >= ad3 ){
192 >        
193 >        s = 2.0 * sqrt( 1.0 + Amat[Axx] - Amat[Ayy] - Amat[Azz] );
194 >        q[0] = (Amat[Ayz] + Amat[Azy]) / s;
195 >        q[1] = 0.5 / s;
196 >        q[2] = (Amat[Axy] + Amat[Ayx]) / s;
197 >        q[3] = (Amat[Axz] + Amat[Azx]) / s;
198 >      }
199 >      else if( ad2 >= ad1 && ad2 >= ad3 ){
200 >        
201 >        s = sqrt( 1.0 + Amat[Ayy] - Amat[Axx] - Amat[Azz] ) * 2.0;
202 >        q[0] = (Amat[Axz] + Amat[Azx]) / s;
203 >        q[1] = (Amat[Axy] + Amat[Ayx]) / s;
204 >        q[2] = 0.5 / s;
205 >        q[3] = (Amat[Ayz] + Amat[Azy]) / s;
206 >      }
207 >      else{
208 >        
209 >        s = sqrt( 1.0 + Amat[Azz] - Amat[Axx] - Amat[Ayy] ) * 2.0;
210 >        q[0] = (Amat[Axy] + Amat[Ayx]) / s;
211 >        q[1] = (Amat[Axz] + Amat[Azx]) / s;
212 >        q[2] = (Amat[Ayz] + Amat[Azy]) / s;
213 >        q[3] = 0.5 / s;
214 >      }
215      }
216    }
217 +  else{
218 +    
219 +    sprintf( painCave.errMsg,
220 +             "Attempt to get Q for atom %d before coords set.\n",
221 +             index );
222 +    painCave.isFatal = 1;
223 +    simError();
224 +  }
225   }
226  
227 + void DirectionalAtom::setUnitFrameFromEuler(double phi,
228 +                                            double theta,
229 +                                            double psi) {
230  
231 < void DirectionalAtom::setEuler( double phi, double theta, double psi ){
231 >  double myA[3][3];
232 >  double uFrame[3][3];
233 >  double len;
234 >  int i, j;
235    
236 <  Amat[Axx] = (cos(phi) * cos(psi)) - (sin(phi) * cos(theta) * sin(psi));
237 <  Amat[Axy] = (sin(phi) * cos(psi)) + (cos(phi) * cos(theta) * sin(psi));
238 <  Amat[Axz] = sin(theta) * sin(psi);
236 >  myA[0][0] = (cos(phi) * cos(psi)) - (sin(phi) * cos(theta) * sin(psi));
237 >  myA[0][1] = (sin(phi) * cos(psi)) + (cos(phi) * cos(theta) * sin(psi));
238 >  myA[0][2] = sin(theta) * sin(psi);
239    
240 <  Amat[Ayx] = -(cos(phi) * sin(psi)) - (sin(phi) * cos(theta) * cos(psi));
241 <  Amat[Ayy] = -(sin(phi) * sin(psi)) + (cos(phi) * cos(theta) * cos(psi));
242 <  Amat[Ayz] = sin(theta) * cos(psi);
240 >  myA[1][0] = -(cos(phi) * sin(psi)) - (sin(phi) * cos(theta) * cos(psi));
241 >  myA[1][1] = -(sin(phi) * sin(psi)) + (cos(phi) * cos(theta) * cos(psi));
242 >  myA[1][2] = sin(theta) * cos(psi);
243 >  
244 >  myA[2][0] = sin(phi) * sin(theta);
245 >  myA[2][1] = -cos(phi) * sin(theta);
246 >  myA[2][2] = cos(theta);
247 >  
248 >  // Make the unit Frame:
249  
250 <  Amat[Azx] = sin(phi) * sin(theta);
251 <  Amat[Azy] = -cos(phi) * sin(theta);
252 <  Amat[Azz] = cos(theta);
250 >  for (i=0; i < 3; i++)
251 >    for (j=0; j < 3; j++)
252 >      uFrame[i][j] = 0.0;
253  
254 <  this->updateU();
254 >  for (i=0; i < 3; i++)
255 >    uFrame[i][i] = 1.0;
256 >
257 >  // rotate by the given rotation matrix:
258 >
259 >  matMul3(myA, uFrame, sU);
260 >
261 >  // renormalize column vectors:
262 >
263 >  for (i=0; i < 3; i++) {
264 >    len = 0.0;
265 >    for (j = 0; j < 3; j++) {
266 >      len += sU[i][j]*sU[i][j];
267 >    }
268 >    len = sqrt(len);
269 >    for (j = 0; j < 3; j++) {
270 >      sU[i][j] /= len;    
271 >    }
272 >  }
273 >  
274 >  // sU now contains the coordinates of the 'special' frame;
275 >    
276   }
277  
278 + void DirectionalAtom::setEuler( double phi, double theta, double psi ){
279 +  
280 +  if( hasCoords ){
281 +    Amat[Axx] = (cos(phi) * cos(psi)) - (sin(phi) * cos(theta) * sin(psi));
282 +    Amat[Axy] = (sin(phi) * cos(psi)) + (cos(phi) * cos(theta) * sin(psi));
283 +    Amat[Axz] = sin(theta) * sin(psi);
284 +    
285 +    Amat[Ayx] = -(cos(phi) * sin(psi)) - (sin(phi) * cos(theta) * cos(psi));
286 +    Amat[Ayy] = -(sin(phi) * sin(psi)) + (cos(phi) * cos(theta) * cos(psi));
287 +    Amat[Ayz] = sin(theta) * cos(psi);
288 +    
289 +    Amat[Azx] = sin(phi) * sin(theta);
290 +    Amat[Azy] = -cos(phi) * sin(theta);
291 +    Amat[Azz] = cos(theta);
292 +    
293 +    this->updateU();
294 +  }
295 +  else{
296 +    
297 +    sprintf( painCave.errMsg,
298 +             "Attempt to set Euler angles for atom %d before coords set.\n",
299 +             index );
300 +    painCave.isFatal = 1;
301 +    simError();
302 +  }
303 + }
304  
305 +
306   void DirectionalAtom::lab2Body( double r[3] ){
307  
308    double rl[3]; // the lab frame vector
309    
310 <  rl[0] = r[0];
311 <  rl[1] = r[1];
312 <  rl[2] = r[2];
313 <
314 <  r[0] = (Amat[Axx] * rl[0]) + (Amat[Axy] * rl[1]) + (Amat[Axz] * rl[2]);
315 <  r[1] = (Amat[Ayx] * rl[0]) + (Amat[Ayy] * rl[1]) + (Amat[Ayz] * rl[2]);
316 <  r[2] = (Amat[Azx] * rl[0]) + (Amat[Azy] * rl[1]) + (Amat[Azz] * rl[2]);
310 >  if( hasCoords ){
311 >    rl[0] = r[0];
312 >    rl[1] = r[1];
313 >    rl[2] = r[2];
314 >    
315 >    r[0] = (Amat[Axx] * rl[0]) + (Amat[Axy] * rl[1]) + (Amat[Axz] * rl[2]);
316 >    r[1] = (Amat[Ayx] * rl[0]) + (Amat[Ayy] * rl[1]) + (Amat[Ayz] * rl[2]);
317 >    r[2] = (Amat[Azx] * rl[0]) + (Amat[Azy] * rl[1]) + (Amat[Azz] * rl[2]);
318 >  }
319 >  else{
320 >    
321 >    sprintf( painCave.errMsg,
322 >             "Attempt to convert lab2body for atom %d before coords set.\n",
323 >             index );
324 >    painCave.isFatal = 1;
325 >    simError();
326 >  }
327 >
328   }
329  
330 + void DirectionalAtom::rotateBy( double by_A[3][3]) {
331 +
332 +  // Check this
333 +  
334 +  double r00, r01, r02, r10, r11, r12, r20, r21, r22;
335 +
336 +  if( hasCoords ){
337 +
338 +    r00 = by_A[0][0]*Amat[Axx] + by_A[0][1]*Amat[Ayx] + by_A[0][2]*Amat[Azx];
339 +    r01 = by_A[0][0]*Amat[Axy] + by_A[0][1]*Amat[Ayy] + by_A[0][2]*Amat[Azy];
340 +    r02 = by_A[0][0]*Amat[Axz] + by_A[0][1]*Amat[Ayz] + by_A[0][2]*Amat[Azz];
341 +    
342 +    r10 = by_A[1][0]*Amat[Axx] + by_A[1][1]*Amat[Ayx] + by_A[1][2]*Amat[Azx];
343 +    r11 = by_A[1][0]*Amat[Axy] + by_A[1][1]*Amat[Ayy] + by_A[1][2]*Amat[Azy];
344 +    r12 = by_A[1][0]*Amat[Axz] + by_A[1][1]*Amat[Ayz] + by_A[1][2]*Amat[Azz];
345 +    
346 +    r20 = by_A[2][0]*Amat[Axx] + by_A[2][1]*Amat[Ayx] + by_A[2][2]*Amat[Azx];
347 +    r21 = by_A[2][0]*Amat[Axy] + by_A[2][1]*Amat[Ayy] + by_A[2][2]*Amat[Azy];
348 +    r22 = by_A[2][0]*Amat[Axz] + by_A[2][1]*Amat[Ayz] + by_A[2][2]*Amat[Azz];
349 +    
350 +    Amat[Axx] = r00; Amat[Axy] = r01; Amat[Axz] = r02;
351 +    Amat[Ayx] = r10; Amat[Ayy] = r11; Amat[Ayz] = r12;
352 +    Amat[Azx] = r20; Amat[Azy] = r21; Amat[Azz] = r22;
353 +
354 +  }
355 +  else{
356 +    
357 +    sprintf( painCave.errMsg,
358 +             "Attempt to rotate frame for atom %d before coords set.\n",
359 +             index );
360 +    painCave.isFatal = 1;
361 +    simError();
362 +  }
363 +
364 + }
365 +
366 +
367   void DirectionalAtom::body2Lab( double r[3] ){
368  
369    double rb[3]; // the body frame vector
370    
371 <  rb[0] = r[0];
372 <  rb[1] = r[1];
373 <  rb[2] = r[2];
374 <
375 <  r[0] = (Amat[Axx] * rb[0]) + (Amat[Ayx] * rb[1]) + (Amat[Azx] * rb[2]);
376 <  r[1] = (Amat[Axy] * rb[0]) + (Amat[Ayy] * rb[1]) + (Amat[Azy] * rb[2]);
377 <  r[2] = (Amat[Axz] * rb[0]) + (Amat[Ayz] * rb[1]) + (Amat[Azz] * rb[2]);
371 >  if( hasCoords ){
372 >    rb[0] = r[0];
373 >    rb[1] = r[1];
374 >    rb[2] = r[2];
375 >    
376 >    r[0] = (Amat[Axx] * rb[0]) + (Amat[Ayx] * rb[1]) + (Amat[Azx] * rb[2]);
377 >    r[1] = (Amat[Axy] * rb[0]) + (Amat[Ayy] * rb[1]) + (Amat[Azy] * rb[2]);
378 >    r[2] = (Amat[Axz] * rb[0]) + (Amat[Ayz] * rb[1]) + (Amat[Azz] * rb[2]);
379 >  }
380 >  else{
381 >    
382 >    sprintf( painCave.errMsg,
383 >             "Attempt to convert body2lab for atom %d before coords set.\n",
384 >             index );
385 >    painCave.isFatal = 1;
386 >    simError();
387 >  }
388   }
389  
390   void DirectionalAtom::updateU( void ){
391  
392 <  ul[offsetX] = (Amat[Axx] * sux) + (Amat[Ayx] * suy) + (Amat[Azx] * suz);
393 <  ul[offsetY] = (Amat[Axy] * sux) + (Amat[Ayy] * suy) + (Amat[Azy] * suz);
394 <  ul[offsetZ] = (Amat[Axz] * sux) + (Amat[Ayz] * suy) + (Amat[Azz] * suz);
392 >  if( hasCoords ){
393 >    ul[offsetX] = (Amat[Axx] * sU[2][0]) +
394 >      (Amat[Ayx] * sU[2][1]) + (Amat[Azx] * sU[2][2]);
395 >    ul[offsetY] = (Amat[Axy] * sU[2][0]) +
396 >      (Amat[Ayy] * sU[2][1]) + (Amat[Azy] * sU[2][2]);
397 >    ul[offsetZ] = (Amat[Axz] * sU[2][0]) +
398 >      (Amat[Ayz] * sU[2][1]) + (Amat[Azz] * sU[2][2]);
399 >  }
400 >  else{
401 >    
402 >    sprintf( painCave.errMsg,
403 >             "Attempt to updateU for atom %d before coords set.\n",
404 >             index );
405 >    painCave.isFatal = 1;
406 >    simError();
407 >  }
408   }
409  
410 + void DirectionalAtom::getJ( double theJ[3] ){
411 +  
412 +  theJ[0] = jx;
413 +  theJ[1] = jy;
414 +  theJ[2] = jz;
415 + }
416 +
417 + void DirectionalAtom::setJ( double theJ[3] ){
418 +  
419 +  jx = theJ[0];
420 +  jy = theJ[1];
421 +  jz = theJ[2];
422 + }
423 +
424 + void DirectionalAtom::getTrq( double theT[3] ){
425 +  
426 +  if( hasCoords ){
427 +    theT[0] = trq[offsetX];
428 +    theT[1] = trq[offsetY];
429 +    theT[2] = trq[offsetZ];
430 +  }
431 +  else{
432 +    
433 +    sprintf( painCave.errMsg,
434 +             "Attempt to get Trq for atom %d before coords set.\n",
435 +             index );
436 +    painCave.isFatal = 1;
437 +    simError();
438 +  }
439 + }
440 +
441 + void DirectionalAtom::setTrq( double theT[3] ){
442 +  
443 +  if( hasCoords ){
444 +    trq[offsetX] = theT[0];
445 +    trq[offsetY] = theT[1];
446 +    trq[offsetZ] = theT[2];
447 +  }
448 +  else{
449 +    
450 +    sprintf( painCave.errMsg,
451 +             "Attempt to add Trq for atom %d before coords set.\n",
452 +             index );
453 +    painCave.isFatal = 1;
454 +    simError();
455 +  }
456 + }
457 +
458 + void DirectionalAtom::addTrq( double theT[3] ){
459 +  
460 +  if( hasCoords ){
461 +    trq[offsetX] += theT[0];
462 +    trq[offsetY] += theT[1];
463 +    trq[offsetZ] += theT[2];
464 +  }
465 +  else{
466 +    
467 +    sprintf( painCave.errMsg,
468 +             "Attempt to add Trq for atom %d before coords set.\n",
469 +             index );
470 +    painCave.isFatal = 1;
471 +    simError();
472 +  }
473 + }
474 +
475 +
476 + void DirectionalAtom::getI( double the_I[3][3] ){
477 +  
478 +  the_I[0][0] = Ixx;
479 +  the_I[0][1] = Ixy;
480 +  the_I[0][2] = Ixz;
481 +
482 +  the_I[1][0] = Iyx;
483 +  the_I[1][1] = Iyy;
484 +  the_I[1][2] = Iyz;
485 +
486 +  the_I[2][0] = Izx;
487 +  the_I[2][1] = Izy;
488 +  the_I[2][2] = Izz;
489 + }
490 +
491 + void DirectionalAtom::getGrad( double grad[6] ) {
492 +
493 +  double myEuler[3];
494 +  double phi, theta, psi;
495 +  double cphi, sphi, ctheta, stheta;
496 +  double ephi[3];
497 +  double etheta[3];
498 +  double epsi[3];
499 +
500 +  this->getEulerAngles(myEuler);
501 +
502 +  phi = myEuler[0];
503 +  theta = myEuler[1];
504 +  psi = myEuler[2];
505 +
506 +  cphi = cos(phi);
507 +  sphi = sin(phi);
508 +  ctheta = cos(theta);
509 +  stheta = sin(theta);
510 +
511 +  // get unit vectors along the phi, theta and psi rotation axes
512 +
513 +  ephi[0] = 0.0;
514 +  ephi[1] = 0.0;
515 +  ephi[2] = 1.0;
516 +
517 +  etheta[0] = cphi;
518 +  etheta[1] = sphi;
519 +  etheta[2] = 0.0;
520 +  
521 +  epsi[0] = stheta * cphi;
522 +  epsi[1] = stheta * sphi;
523 +  epsi[2] = ctheta;
524 +  
525 +  for (int j = 0 ; j<3; j++)
526 +    grad[j] = frc[j];
527 +
528 +  grad[3] = 0;
529 +  grad[4] = 0;
530 +  grad[5] = 0;
531 +
532 +  for (int j = 0; j < 3; j++ ) {
533 +    
534 +    grad[3] += trq[j]*ephi[j];
535 +    grad[4] += trq[j]*etheta[j];
536 +    grad[5] += trq[j]*epsi[j];
537 +    
538 +  }
539 +
540 + }
541 +
542 + /**
543 +  * getEulerAngles computes a set of Euler angle values consistent
544 +  *  with an input rotation matrix.  They are returned in the following
545 +  * order:
546 +  *  myEuler[0] = phi;
547 +  *  myEuler[1] = theta;
548 +  *  myEuler[2] = psi;
549 + */
550 + void DirectionalAtom::getEulerAngles(double myEuler[3]) {
551 +
552 +  // We use so-called "x-convention", which is the most common definition.
553 +  // In this convention, the rotation given by Euler angles (phi, theta, psi), where the first
554 +  // rotation is by an angle phi about the z-axis, the second is by an angle  
555 +  // theta (0 <= theta <= 180)about the x-axis, and thethird is by an angle psi about the
556 +  //z-axis (again).
557 +  
558 +  
559 +  double phi,theta,psi,eps;
560 +  double ctheta,stheta;
561 +
562 +  // set the tolerance for Euler angles and rotation elements
563 +  
564 +  eps = 1.0e-8;
565 +
566 +  theta = acos(min(1.0,max(-1.0,Amat[Azz])));
567 +  ctheta = Amat[Azz];
568 +  stheta = sqrt(1.0 - ctheta * ctheta);
569 +
570 +  // when sin(theta) is close to 0, we need to consider singularity
571 +  // In this case, we can assign an arbitary value to phi (or psi), and then determine
572 +  // the psi (or phi) or vice-versa. We'll assume that phi always gets the rotation, and psi is 0
573 +  // in cases of singularity.  
574 +  // we use atan2 instead of atan, since atan2 will give us -Pi to Pi.
575 +  // Since 0 <= theta <= 180, sin(theta) will be always non-negative. Therefore, it never
576 +  // change the sign of both of the parameters passed to atan2.
577 +  
578 +  if (fabs(stheta) <= eps){
579 +    psi = 0.0;
580 +    phi = atan2(-Amat[Ayx], Amat[Axx]);  
581 +  }
582 +  // we only have one unique solution
583 +  else{    
584 +      phi = atan2(Amat[Azx], -Amat[Azy]);
585 +      psi = atan2(Amat[Axz], Amat[Ayz]);
586 +  }
587 +
588 +  //wrap phi and psi, make sure they are in the range from 0 to 2*Pi
589 +  //if (phi < 0)
590 +  //  phi += M_PI;
591 +
592 +  //if (psi < 0)
593 +  //  psi += M_PI;
594 +
595 +  myEuler[0] = phi;
596 +  myEuler[1] = theta;
597 +  myEuler[2] = psi;
598 +  
599 +  return;
600 + }
601 +
602 + double DirectionalAtom::getZangle( ){
603 +  
604 +  if( hasCoords ){
605 +    return zAngle;
606 +  }
607 +  else{
608 +    
609 +    sprintf( painCave.errMsg,
610 +             "Attempt to get zAngle for atom %d before coords set.\n",
611 +             index );
612 +    painCave.isFatal = 1;
613 +    simError();
614 +    return 0;
615 +  }
616 + }
617 +
618 + void DirectionalAtom::setZangle( double zAng ){
619 +  
620 +  if( hasCoords ){
621 +    zAngle = zAng;
622 +  }
623 +  else{
624 +    
625 +    sprintf( painCave.errMsg,
626 +             "Attempt to set zAngle for atom %d before coords set.\n",
627 +             index );
628 +    painCave.isFatal = 1;
629 +    simError();
630 +  }
631 + }
632 +
633 + void DirectionalAtom::addZangle( double zAng ){
634 +  
635 +  if( hasCoords ){
636 +    zAngle += zAng;
637 +  }
638 +  else{
639 +    
640 +    sprintf( painCave.errMsg,
641 +             "Attempt to add zAngle to atom %d before coords set.\n",
642 +             index );
643 +    painCave.isFatal = 1;
644 +    simError();
645 +  }
646 + }
647 +
648 + double DirectionalAtom::max(double x, double  y) {  
649 +  return (x > y) ? x : y;
650 + }
651 +
652 + double DirectionalAtom::min(double x, double  y) {  
653 +  return (x > y) ? y : x;
654 + }

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