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#include <cmath> |
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#include <math.h> |
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#include "Atom.hpp" |
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#include "DirectionalAtom.hpp" |
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#include "simError.h" |
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#include "MatVec3.h" |
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void DirectionalAtom::zeroForces() { |
| 9 |
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if( hasCoords ){ |
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frc[offsetX] = 0.0; |
| 11 |
< |
frc[offsetY] = 0.0; |
| 10 |
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frc[offsetZ] = 0.0; |
| 10 |
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|
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Atom::zeroForces(); |
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|
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trq[offsetX] = 0.0; |
| 14 |
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trq[offsetY] = 0.0; |
| 35 |
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&trq, |
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&Amat, |
| 37 |
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&mu, |
| 38 |
< |
&ul ); |
| 38 |
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&ul, |
| 39 |
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&quat); |
| 40 |
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} |
| 41 |
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else{ |
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sprintf( painCave.errMsg, |
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"Attempted to set Atom %d coordinates with an unallocated " |
| 44 |
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"SimState object.\n" ); |
| 44 |
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"SimState object.\n", index ); |
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painCave.isFatal = 1; |
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simError(); |
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} |
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|
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hasCoords = true; |
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|
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*mu = myMu; |
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|
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} |
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|
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double DirectionalAtom::getMu( void ) { |
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|
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if( hasCoords ){ |
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return *mu; |
| 57 |
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} |
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else{ |
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return myMu; |
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} |
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return 0; |
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} |
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|
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void DirectionalAtom::setMu( double the_mu ) { |
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|
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if( hasCoords ){ |
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*mu = the_mu; |
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myMu = the_mu; |
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} |
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else{ |
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myMu = the_mu; |
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} |
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} |
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|
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void DirectionalAtom::setA( double the_A[3][3] ){ |
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|
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if( hasCoords ){ |
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} |
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} |
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|
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< |
void DirectionalAtom::setI( double the_I[3][3] ){ |
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void DirectionalAtom::setI( double the_I[3][3] ){ |
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|
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Ixx = the_I[0][0]; Ixy = the_I[0][1]; Ixz = the_I[0][2]; |
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Iyx = the_I[1][0]; Iyy = the_I[1][1]; Iyz = the_I[1][2]; |
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void DirectionalAtom::getU( double the_u[3] ){ |
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|
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the_u[0] = sux; |
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the_u[1] = suy; |
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the_u[2] = suz; |
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|
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the_u[0] = sU[2][0]; |
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the_u[1] = sU[2][1]; |
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the_u[2] = sU[2][2]; |
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|
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this->body2Lab( the_u ); |
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} |
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|
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} |
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} |
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|
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void DirectionalAtom::setUnitFrameFromEuler(double phi, |
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double theta, |
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double psi) { |
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|
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double myA[3][3]; |
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double uFrame[3][3]; |
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double len; |
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int i, j; |
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|
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myA[0][0] = (cos(phi) * cos(psi)) - (sin(phi) * cos(theta) * sin(psi)); |
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myA[0][1] = (sin(phi) * cos(psi)) + (cos(phi) * cos(theta) * sin(psi)); |
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myA[0][2] = sin(theta) * sin(psi); |
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|
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myA[1][0] = -(cos(phi) * sin(psi)) - (sin(phi) * cos(theta) * cos(psi)); |
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myA[1][1] = -(sin(phi) * sin(psi)) + (cos(phi) * cos(theta) * cos(psi)); |
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myA[1][2] = sin(theta) * cos(psi); |
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|
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myA[2][0] = sin(phi) * sin(theta); |
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myA[2][1] = -cos(phi) * sin(theta); |
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myA[2][2] = cos(theta); |
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|
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// Make the unit Frame: |
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|
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for (i=0; i < 3; i++) |
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for (j=0; j < 3; j++) |
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uFrame[i][j] = 0.0; |
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|
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for (i=0; i < 3; i++) |
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uFrame[i][i] = 1.0; |
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|
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// rotate by the given rotation matrix: |
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|
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matMul3(myA, uFrame, sU); |
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|
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// renormalize column vectors: |
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|
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for (i=0; i < 3; i++) { |
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len = 0.0; |
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for (j = 0; j < 3; j++) { |
| 266 |
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len += sU[i][j]*sU[i][j]; |
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} |
| 268 |
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len = sqrt(len); |
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for (j = 0; j < 3; j++) { |
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sU[i][j] /= len; |
| 271 |
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} |
| 272 |
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} |
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|
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// sU now contains the coordinates of the 'special' frame; |
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|
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} |
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|
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void DirectionalAtom::setEuler( double phi, double theta, double psi ){ |
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|
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if( hasCoords ){ |
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} |
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|
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void DirectionalAtom::rotateBy( double by_A[3][3]) { |
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|
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// Check this |
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|
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double r00, r01, r02, r10, r11, r12, r20, r21, r22; |
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|
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if( hasCoords ){ |
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|
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r00 = by_A[0][0]*Amat[Axx] + by_A[0][1]*Amat[Ayx] + by_A[0][2]*Amat[Azx]; |
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r01 = by_A[0][0]*Amat[Axy] + by_A[0][1]*Amat[Ayy] + by_A[0][2]*Amat[Azy]; |
| 340 |
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r02 = by_A[0][0]*Amat[Axz] + by_A[0][1]*Amat[Ayz] + by_A[0][2]*Amat[Azz]; |
| 341 |
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|
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r10 = by_A[1][0]*Amat[Axx] + by_A[1][1]*Amat[Ayx] + by_A[1][2]*Amat[Azx]; |
| 343 |
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r11 = by_A[1][0]*Amat[Axy] + by_A[1][1]*Amat[Ayy] + by_A[1][2]*Amat[Azy]; |
| 344 |
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r12 = by_A[1][0]*Amat[Axz] + by_A[1][1]*Amat[Ayz] + by_A[1][2]*Amat[Azz]; |
| 345 |
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|
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r20 = by_A[2][0]*Amat[Axx] + by_A[2][1]*Amat[Ayx] + by_A[2][2]*Amat[Azx]; |
| 347 |
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r21 = by_A[2][0]*Amat[Axy] + by_A[2][1]*Amat[Ayy] + by_A[2][2]*Amat[Azy]; |
| 348 |
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r22 = by_A[2][0]*Amat[Axz] + by_A[2][1]*Amat[Ayz] + by_A[2][2]*Amat[Azz]; |
| 349 |
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|
| 350 |
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Amat[Axx] = r00; Amat[Axy] = r01; Amat[Axz] = r02; |
| 351 |
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Amat[Ayx] = r10; Amat[Ayy] = r11; Amat[Ayz] = r12; |
| 352 |
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Amat[Azx] = r20; Amat[Azy] = r21; Amat[Azz] = r22; |
| 353 |
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|
| 354 |
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} |
| 355 |
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else{ |
| 356 |
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|
| 357 |
+ |
sprintf( painCave.errMsg, |
| 358 |
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"Attempt to rotate frame for atom %d before coords set.\n", |
| 359 |
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index ); |
| 360 |
+ |
painCave.isFatal = 1; |
| 361 |
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simError(); |
| 362 |
+ |
} |
| 363 |
+ |
|
| 364 |
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} |
| 365 |
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|
| 366 |
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|
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void DirectionalAtom::body2Lab( double r[3] ){ |
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|
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double rb[3]; // the body frame vector |
| 390 |
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void DirectionalAtom::updateU( void ){ |
| 391 |
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|
| 392 |
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if( hasCoords ){ |
| 393 |
< |
ul[offsetX] = (Amat[Axx] * sux) + (Amat[Ayx] * suy) + (Amat[Azx] * suz); |
| 394 |
< |
ul[offsetY] = (Amat[Axy] * sux) + (Amat[Ayy] * suy) + (Amat[Azy] * suz); |
| 395 |
< |
ul[offsetZ] = (Amat[Axz] * sux) + (Amat[Ayz] * suy) + (Amat[Azz] * suz); |
| 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 |
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} |
| 400 |
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else{ |
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|
| 438 |
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} |
| 439 |
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} |
| 440 |
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|
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+ |
void DirectionalAtom::setTrq( double theT[3] ){ |
| 442 |
+ |
|
| 443 |
+ |
if( hasCoords ){ |
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trq[offsetX] = theT[0]; |
| 445 |
+ |
trq[offsetY] = theT[1]; |
| 446 |
+ |
trq[offsetZ] = theT[2]; |
| 447 |
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} |
| 448 |
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else{ |
| 449 |
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|
| 450 |
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sprintf( painCave.errMsg, |
| 451 |
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"Attempt to add Trq for atom %d before coords set.\n", |
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index ); |
| 453 |
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painCave.isFatal = 1; |
| 454 |
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simError(); |
| 455 |
+ |
} |
| 456 |
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} |
| 457 |
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|
| 458 |
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void DirectionalAtom::addTrq( double theT[3] ){ |
| 459 |
|
|
| 460 |
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if( hasCoords ){ |
| 486 |
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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 |
+ |
} |