| 48 |  |  | 
| 49 |  | void SimInfo::setBox(double newBox[3]) { | 
| 50 |  |  | 
| 51 | < | int i; | 
| 52 | < | double tempMat[9]; | 
| 51 | > | int i, j; | 
| 52 | > | double tempMat[3][3]; | 
| 53 |  |  | 
| 54 | < | for(i=0; i<9; i++) tempMat[i] = 0.0;; | 
| 54 | > | for(i=0; i<3; i++) | 
| 55 | > | for (j=0; j<3; j++) tempMat[i][j] = 0.0;; | 
| 56 |  |  | 
| 57 | < | tempMat[0] = newBox[0]; | 
| 58 | < | tempMat[4] = newBox[1]; | 
| 59 | < | tempMat[8] = newBox[2]; | 
| 57 | > | tempMat[0][0] = newBox[0]; | 
| 58 | > | tempMat[1][1] = newBox[1]; | 
| 59 | > | tempMat[2][2] = newBox[2]; | 
| 60 |  |  | 
| 61 |  | setBoxM( tempMat ); | 
| 62 |  |  | 
| 63 |  | } | 
| 64 |  |  | 
| 65 | < | void SimInfo::setBoxM( double theBox[9] ){ | 
| 65 | > | void SimInfo::setBoxM( double theBox[3][3] ){ | 
| 66 |  |  | 
| 67 | < | int i, status; | 
| 67 | > | int i, j, status; | 
| 68 |  | double smallestBoxL, maxCutoff; | 
| 69 | + | double FortranHmat[9]; // to preserve compatibility with Fortran the | 
| 70 | + | // ordering in the array is as follows: | 
| 71 | + | // [ 0 3 6 ] | 
| 72 | + | // [ 1 4 7 ] | 
| 73 | + | // [ 2 5 8 ] | 
| 74 | + | double FortranHmatInv[9]; // the inverted Hmat (for Fortran); | 
| 75 |  |  | 
| 69 | – | for(i=0; i<9; i++) Hmat[i] = theBox[i]; | 
| 76 |  |  | 
| 77 | + | for(i=0; i < 3; i++) | 
| 78 | + | for (j=0; j < 3; j++) Hmat[i][j] = theBox[i][j]; | 
| 79 | + |  | 
| 80 |  | cerr | 
| 81 |  | << "setting Hmat ->\n" | 
| 82 | < | << "[ " << Hmat[0] << ", " << Hmat[3] << ", " << Hmat[6] << " ]\n" | 
| 83 | < | << "[ " << Hmat[1] << ", " << Hmat[4] << ", " << Hmat[7] << " ]\n" | 
| 84 | < | << "[ " << Hmat[2] << ", " << Hmat[5] << ", " << Hmat[8] << " ]\n"; | 
| 82 | > | << "[ " << Hmat[0][0] << ", " << Hmat[0][1] << ", " << Hmat[0][2] << " ]\n" | 
| 83 | > | << "[ " << Hmat[1][0] << ", " << Hmat[1][1] << ", " << Hmat[1][2] << " ]\n" | 
| 84 | > | << "[ " << Hmat[2][0] << ", " << Hmat[2][1] << ", " << Hmat[2][2] << " ]\n"; | 
| 85 |  |  | 
| 77 | – | calcHmatI(); | 
| 86 |  | calcBoxL(); | 
| 87 | + | calcHmatInv(); | 
| 88 |  |  | 
| 89 | + | for(i=0; i < 3; i++) { | 
| 90 | + | for (j=0; j < 3; j++) { | 
| 91 | + | FortranHmat[3*j + i] = Hmat[i][j]; | 
| 92 | + | FortranHmatInv[3*j + i] = HmatInv[i][j]; | 
| 93 | + | } | 
| 94 | + | } | 
| 95 |  |  | 
| 96 | < |  | 
| 82 | < | setFortranBoxSize(Hmat, HmatI, &orthoRhombic); | 
| 96 | > | setFortranBoxSize(FortranHmat, FortranHmatI, &orthoRhombic); | 
| 97 |  |  | 
| 98 |  | smallestBoxL = boxLx; | 
| 99 |  | if (boxLy < smallestBoxL) smallestBoxL = boxLy; | 
| 141 |  | } | 
| 142 |  |  | 
| 143 |  |  | 
| 144 | < | void SimInfo::getBoxM (double theBox[9]) { | 
| 144 | > | void SimInfo::getBoxM (double theBox[3][3]) { | 
| 145 |  |  | 
| 146 | < | int i; | 
| 147 | < | for(i=0; i<9; i++) theBox[i] = Hmat[i]; | 
| 146 | > | int i, j; | 
| 147 | > | for(i=0; i<3; i++) | 
| 148 | > | for (j=0; j<3; j++) theBox[i][j] = Hmat[i][j]; | 
| 149 |  | } | 
| 150 |  |  | 
| 151 |  |  | 
| 152 |  | void SimInfo::scaleBox(double scale) { | 
| 153 | < | double theBox[9]; | 
| 154 | < | int i; | 
| 153 | > | double theBox[3][3]; | 
| 154 | > | int i, j; | 
| 155 |  |  | 
| 156 |  | cerr << "Scaling box by " << scale << "\n"; | 
| 157 |  |  | 
| 158 | < | for(i=0; i<9; i++) theBox[i] = Hmat[i]*scale; | 
| 158 | > | for(i=0; i<3; i++) | 
| 159 | > | for (j=0; j<3; j++) theBox[i][j] = Hmat[i][j]*scale; | 
| 160 |  |  | 
| 161 |  | setBoxM(theBox); | 
| 162 |  |  | 
| 163 |  | } | 
| 164 |  |  | 
| 165 | < | void SimInfo::calcHmatI( void ) { | 
| 165 | > | void SimInfo::calcHmatInv( void ) { | 
| 166 |  |  | 
| 151 | – | double C[3][3]; | 
| 152 | – | double detHmat; | 
| 153 | – | int i, j, k; | 
| 167 |  | double smallDiag; | 
| 168 |  | double tol; | 
| 169 |  | double sanity[3][3]; | 
| 170 |  |  | 
| 171 | < | // calculate the adjunct of Hmat; | 
| 171 | > | invertMat3( Hmat, HmatInv ); | 
| 172 |  |  | 
| 173 | < | C[0][0] =  ( Hmat[4]*Hmat[8]) - (Hmat[7]*Hmat[5]); | 
| 161 | < | C[1][0] = -( Hmat[1]*Hmat[8]) + (Hmat[7]*Hmat[2]); | 
| 162 | < | C[2][0] =  ( Hmat[1]*Hmat[5]) - (Hmat[4]*Hmat[2]); | 
| 173 | > | // Check the inverse to make sure it is sane: | 
| 174 |  |  | 
| 175 | < | C[0][1] = -( Hmat[3]*Hmat[8]) + (Hmat[6]*Hmat[5]); | 
| 165 | < | C[1][1] =  ( Hmat[0]*Hmat[8]) - (Hmat[6]*Hmat[2]); | 
| 166 | < | C[2][1] = -( Hmat[0]*Hmat[5]) + (Hmat[3]*Hmat[2]); | 
| 175 | > | matMul3( Hmat, HmatInv, sanity ); | 
| 176 |  |  | 
| 168 | – | C[0][2] =  ( Hmat[3]*Hmat[7]) - (Hmat[6]*Hmat[4]); | 
| 169 | – | C[1][2] = -( Hmat[0]*Hmat[7]) + (Hmat[6]*Hmat[1]); | 
| 170 | – | C[2][2] =  ( Hmat[0]*Hmat[4]) - (Hmat[3]*Hmat[1]); | 
| 171 | – |  | 
| 172 | – | // calcutlate the determinant of Hmat | 
| 173 | – |  | 
| 174 | – | detHmat = 0.0; | 
| 175 | – | for(i=0; i<3; i++) detHmat += Hmat[i] * C[i][0]; | 
| 176 | – |  | 
| 177 | – |  | 
| 178 | – | // H^-1 = C^T / det(H) | 
| 179 | – |  | 
| 180 | – | i=0; | 
| 181 | – | for(j=0; j<3; j++){ | 
| 182 | – | for(k=0; k<3; k++){ | 
| 183 | – |  | 
| 184 | – | HmatI[i] = C[j][k] / detHmat; | 
| 185 | – | i++; | 
| 186 | – | } | 
| 187 | – | } | 
| 188 | – |  | 
| 189 | – | // sanity check | 
| 190 | – |  | 
| 191 | – | for(i=0; i<3; i++){ | 
| 192 | – | for(j=0; j<3; j++){ | 
| 193 | – |  | 
| 194 | – | sanity[i][j] = 0.0; | 
| 195 | – | for(k=0; k<3; k++){ | 
| 196 | – | sanity[i][j] += Hmat[3*k+i] * HmatI[3*j+k]; | 
| 197 | – | } | 
| 198 | – | } | 
| 199 | – | } | 
| 200 | – |  | 
| 177 |  | cerr << "sanity => \n" | 
| 178 |  | << sanity[0][0] << "\t" << sanity[0][1] << "\t" << sanity [0][2] << "\n" | 
| 179 |  | << sanity[1][0] << "\t" << sanity[1][1] << "\t" << sanity [1][2] << "\n" | 
| 180 |  | << sanity[2][0] << "\t" << sanity[2][1] << "\t" << sanity [2][2] | 
| 181 |  | << "\n"; | 
| 182 |  |  | 
| 207 | – |  | 
| 183 |  | // check to see if Hmat is orthorhombic | 
| 184 |  |  | 
| 185 | < | smallDiag = Hmat[0]; | 
| 186 | < | if(smallDiag > Hmat[4]) smallDiag = Hmat[4]; | 
| 187 | < | if(smallDiag > Hmat[8]) smallDiag = Hmat[8]; | 
| 185 | > | smallDiag = Hmat[0][0]; | 
| 186 | > | if(smallDiag > Hmat[1][1]) smallDiag = Hmat[1][1]; | 
| 187 | > | if(smallDiag > Hmat[2][2]) smallDiag = Hmat[2][2]; | 
| 188 |  | tol = smallDiag * 1E-6; | 
| 189 |  |  | 
| 190 |  | orthoRhombic = 1; | 
| 191 | < | for(i=0; (i<9) && orthoRhombic; i++){ | 
| 192 | < |  | 
| 193 | < | if( (i%4) ){ // ignore the diagonals (0, 4, and 8) | 
| 194 | < | orthoRhombic = (Hmat[i] <= tol); | 
| 191 | > |  | 
| 192 | > | for (i = 0; i < 3; i++ ) { | 
| 193 | > | for (j = 0 ; j < 3; j++) { | 
| 194 | > | if (i != j) { | 
| 195 | > | if (orthoRhombic) { | 
| 196 | > | if (Hmat[i][j] >= tol) orthoRhombic = 0; | 
| 197 | > | } | 
| 198 | > | } | 
| 199 |  | } | 
| 200 |  | } | 
| 222 | – |  | 
| 201 |  | } | 
| 202 |  |  | 
| 203 | + | double SimInfo::matDet3(double a[3][3]) { | 
| 204 | + | int i, j, k; | 
| 205 | + | double determinant; | 
| 206 | + |  | 
| 207 | + | determinant = 0.0; | 
| 208 | + |  | 
| 209 | + | for(i = 0; i < 3; i++) { | 
| 210 | + | j = (i+1)%3; | 
| 211 | + | k = (i+2)%3; | 
| 212 | + |  | 
| 213 | + | determinant += a[0][i] * (a[1][j]*a[2][k] - a[1][k]*a[2][j]); | 
| 214 | + | } | 
| 215 | + |  | 
| 216 | + | return determinant; | 
| 217 | + | } | 
| 218 | + |  | 
| 219 | + | void SimInfo::invertMat3(double a[3][3], double b[3][3]) { | 
| 220 | + |  | 
| 221 | + | int  i, j, k, l, m, n; | 
| 222 | + | double determinant; | 
| 223 | + |  | 
| 224 | + | determinant = matDet3( a ); | 
| 225 | + |  | 
| 226 | + | if (determinant == 0.0) { | 
| 227 | + | sprintf( painCave.errMsg, | 
| 228 | + | "Can't invert a matrix with a zero determinant!\n"); | 
| 229 | + | painCave.isFatal = 1; | 
| 230 | + | simError(); | 
| 231 | + | } | 
| 232 | + |  | 
| 233 | + | for (i=0; i < 3; i++) { | 
| 234 | + | j = (i+1)%3; | 
| 235 | + | k = (i+2)%3; | 
| 236 | + | for(l = 0; l < 3; l++) { | 
| 237 | + | m = (l+1)%3; | 
| 238 | + | n = (l+2)%3; | 
| 239 | + |  | 
| 240 | + | b[l][i] = (a[j][m]*a[k][n] - a[j][n]*a[k][m]) / determinant; | 
| 241 | + | } | 
| 242 | + | } | 
| 243 | + | } | 
| 244 | + |  | 
| 245 | + | void SimInfo::matMul3(double a[3][3], double b[3][3], double c[3][3]) { | 
| 246 | + | double r00, r01, r02, r10, r11, r12, r20, r21, r22; | 
| 247 | + |  | 
| 248 | + | r00 = a[0][0]*b[0][0] + a[0][1]*b[1][0] + a[0][2]*b[2][0]; | 
| 249 | + | r01 = a[0][0]*b[0][1] + a[0][1]*b[1][1] + a[0][2]*b[2][1]; | 
| 250 | + | r02 = a[0][0]*b[0][2] + a[0][1]*b[1][2] + a[0][2]*b[2][2]; | 
| 251 | + |  | 
| 252 | + | r10 = a[1][0]*b[0][0] + a[1][1]*b[1][0] + a[1][2]*b[2][0]; | 
| 253 | + | r11 = a[1][0]*b[0][1] + a[1][1]*b[1][1] + a[1][2]*b[2][1]; | 
| 254 | + | r12 = a[1][0]*b[0][2] + a[1][1]*b[1][2] + a[1][2]*b[2][2]; | 
| 255 | + |  | 
| 256 | + | r20 = a[2][0]*b[0][0] + a[2][1]*b[1][0] + a[2][2]*b[2][0]; | 
| 257 | + | r21 = a[2][0]*b[0][1] + a[2][1]*b[1][1] + a[2][2]*b[2][1]; | 
| 258 | + | r22 = a[2][0]*b[0][2] + a[2][1]*b[1][2] + a[2][2]*b[2][2]; | 
| 259 | + |  | 
| 260 | + | c[0][0] = r00; c[0][1] = r01; c[0][2] = r02; | 
| 261 | + | c[1][0] = r10; c[1][1] = r11; c[1][2] = r12; | 
| 262 | + | c[2][0] = r20; c[2][1] = r21; c[2][2] = r22; | 
| 263 | + | } | 
| 264 | + |  | 
| 265 | + | void SimInfo::matVecMul3(double m[3][3], double inVec[3], double outVec[3]) { | 
| 266 | + | double a0, a1, a2; | 
| 267 | + |  | 
| 268 | + | a0 = inVec[0];  a1 = inVec[1];  a2 = inVec[2]; | 
| 269 | + |  | 
| 270 | + | outVec[0] = m[0][0]*a0 + m[0][1]*a1 + m[0][2]*a2; | 
| 271 | + | outVec[1] = m[1][0]*a0 + m[1][1]*a1 + m[1][2]*a2; | 
| 272 | + | outVec[2] = m[2][0]*a0 + m[2][1]*a1 + m[2][2]*a2; | 
| 273 | + | } | 
| 274 | + |  | 
| 275 |  | void SimInfo::calcBoxL( void ){ | 
| 276 |  |  | 
| 277 |  | double dx, dy, dz, dsq; | 
| 278 |  | int i; | 
| 279 |  |  | 
| 280 | < | // boxVol = h1 (dot) h2 (cross) h3 | 
| 280 | > | // boxVol = Determinant of Hmat | 
| 281 |  |  | 
| 282 | < | boxVol = Hmat[0] * ( (Hmat[4]*Hmat[8]) - (Hmat[7]*Hmat[5]) ) | 
| 233 | < | + Hmat[1] * ( (Hmat[5]*Hmat[6]) - (Hmat[8]*Hmat[3]) ) | 
| 234 | < | + Hmat[2] * ( (Hmat[3]*Hmat[7]) - (Hmat[6]*Hmat[4]) ); | 
| 282 | > | boxVol = matDet3( Hmat ); | 
| 283 |  |  | 
| 236 | – |  | 
| 284 |  | // boxLx | 
| 285 |  |  | 
| 286 | < | dx = Hmat[0]; dy = Hmat[1]; dz = Hmat[2]; | 
| 286 | > | dx = Hmat[0][0]; dy = Hmat[1][0]; dz = Hmat[2][0]; | 
| 287 |  | dsq = dx*dx + dy*dy + dz*dz; | 
| 288 |  | boxLx = sqrt( dsq ); | 
| 289 |  |  | 
| 290 |  | // boxLy | 
| 291 |  |  | 
| 292 | < | dx = Hmat[3]; dy = Hmat[4]; dz = Hmat[5]; | 
| 292 | > | dx = Hmat[0][1]; dy = Hmat[1][1]; dz = Hmat[2][1]; | 
| 293 |  | dsq = dx*dx + dy*dy + dz*dz; | 
| 294 |  | boxLy = sqrt( dsq ); | 
| 295 |  |  | 
| 296 |  | // boxLz | 
| 297 |  |  | 
| 298 | < | dx = Hmat[6]; dy = Hmat[7]; dz = Hmat[8]; | 
| 298 | > | dx = Hmat[0][2]; dy = Hmat[1][2]; dz = Hmat[2][2]; | 
| 299 |  | dsq = dx*dx + dy*dy + dz*dz; | 
| 300 |  | boxLz = sqrt( dsq ); | 
| 301 |  |  | 
| 309 |  |  | 
| 310 |  | if( !orthoRhombic ){ | 
| 311 |  | // calc the scaled coordinates. | 
| 312 | + |  | 
| 313 | + |  | 
| 314 | + | matVecMul3(HmatInv, thePos, scaled); | 
| 315 |  |  | 
| 316 |  | for(i=0; i<3; i++) | 
| 267 | – | scaled[i] = | 
| 268 | – | thePos[0]*HmatI[i] + thePos[1]*HmatI[i+3] + thePos[3]*HmatI[i+6]; | 
| 269 | – |  | 
| 270 | – | // wrap the scaled coordinates | 
| 271 | – |  | 
| 272 | – | for(i=0; i<3; i++) | 
| 317 |  | scaled[i] -= roundMe(scaled[i]); | 
| 318 |  |  | 
| 319 |  | // calc the wrapped real coordinates from the wrapped scaled coordinates | 
| 320 |  |  | 
| 321 | < | for(i=0; i<3; i++) | 
| 322 | < | thePos[i] = | 
| 279 | < | scaled[0]*Hmat[i] + scaled[1]*Hmat[i+3] + scaled[2]*Hmat[i+6]; | 
| 321 | > | matVecMul3(Hmat, scaled, thePos); | 
| 322 | > |  | 
| 323 |  | } | 
| 324 |  | else{ | 
| 325 |  | // calc the scaled coordinates. | 
| 326 |  |  | 
| 327 |  | for(i=0; i<3; i++) | 
| 328 | < | scaled[i] = thePos[i]*HmatI[i*4]; | 
| 328 | > | scaled[i] = thePos[i]*HmatInv[i][i]; | 
| 329 |  |  | 
| 330 |  | // wrap the scaled coordinates | 
| 331 |  |  | 
| 335 |  | // calc the wrapped real coordinates from the wrapped scaled coordinates | 
| 336 |  |  | 
| 337 |  | for(i=0; i<3; i++) | 
| 338 | < | thePos[i] = scaled[i]*Hmat[i*4]; | 
| 338 | > | thePos[i] = scaled[i]*Hmat[i][i]; | 
| 339 |  | } | 
| 340 |  |  | 
| 298 | – |  | 
| 341 |  | } | 
| 342 |  |  | 
| 343 |  |  |