| 1 | chrisfen | 1287 | #include "SphereHarm.hpp" | 
| 2 |  |  |  | 
| 3 |  |  | SphereHarm::SphereHarm( int bandWidth ){ | 
| 4 |  |  | bw = bandWidth; | 
| 5 |  |  |  | 
| 6 |  |  | /*** ASSUMING WILL SEMINAIVE ALL ORDERS ***/ | 
| 7 |  |  | cutoff = bw; | 
| 8 |  |  | size = 2*bw; | 
| 9 |  |  |  | 
| 10 |  |  | /* allocate memory */ | 
| 11 |  |  | rdata = (double *) fftw_malloc(sizeof(double) * (size * size)); | 
| 12 |  |  | idata = (double *) fftw_malloc(sizeof(double) * (size * size)); | 
| 13 |  |  | rcoeffs = (double *) fftw_malloc(sizeof(double) * (bw * bw)); | 
| 14 |  |  | icoeffs = (double *) fftw_malloc(sizeof(double) * (bw * bw)); | 
| 15 |  |  | weights = (double *) fftw_malloc(sizeof(double) * 4 * bw); | 
| 16 |  |  | seminaive_naive_tablespace = | 
| 17 |  |  | (double *) fftw_malloc(sizeof(double) * | 
| 18 |  |  | (Reduced_Naive_TableSize(bw,cutoff) + | 
| 19 |  |  | Reduced_SpharmonicTableSize(bw,cutoff))); | 
| 20 |  |  | workspace = (double *) fftw_malloc(sizeof(double) * | 
| 21 |  |  | ((8 * (bw*bw)) + | 
| 22 |  |  | (7 * bw))); | 
| 23 |  |  |  | 
| 24 |  |  |  | 
| 25 |  |  | /**** | 
| 26 |  |  | At this point, check to see if all the memory has been | 
| 27 |  |  | allocated. If it has not, there's no point in going further. | 
| 28 |  |  | ****/ | 
| 29 |  |  |  | 
| 30 |  |  | if ( (rdata == NULL) || (idata == NULL) || | 
| 31 |  |  | (rcoeffs == NULL) || (icoeffs == NULL) || | 
| 32 |  |  | (seminaive_naive_tablespace == NULL) || | 
| 33 |  |  | (workspace == NULL) ) | 
| 34 |  |  | { | 
| 35 |  |  | perror("Error in allocating memory"); | 
| 36 |  |  | exit( 1 ) ; | 
| 37 |  |  | } | 
| 38 |  |  |  | 
| 39 |  |  | //precompute the Legendres | 
| 40 |  |  | fprintf(stdout,"Precomputing the Legendres...\n"); | 
| 41 |  |  | seminaive_naive_table = SemiNaive_Naive_Pml_Table( bw, cutoff, | 
| 42 |  |  | seminaive_naive_tablespace, | 
| 43 |  |  | workspace ); | 
| 44 |  |  |  | 
| 45 |  |  | //construct fftw plans using the GURU interface | 
| 46 |  |  | /* forward DCT */ | 
| 47 |  |  | dctPlan = fftw_plan_r2r_1d( 2*bw, weights, rdata, | 
| 48 |  |  | FFTW_REDFT10, FFTW_ESTIMATE ) ; | 
| 49 |  |  |  | 
| 50 |  |  | /* | 
| 51 |  |  | fftw "preamble" ; | 
| 52 |  |  | note that this plan places the output in a transposed array | 
| 53 |  |  | */ | 
| 54 |  |  | rank = 1 ; | 
| 55 |  |  | dims[0].n = 2*bw ; | 
| 56 |  |  | dims[0].is = 1 ; | 
| 57 |  |  | dims[0].os = 2*bw ; | 
| 58 |  |  | howmany_rank = 1 ; | 
| 59 |  |  | howmany_dims[0].n = 2*bw ; | 
| 60 |  |  | howmany_dims[0].is = 2*bw ; | 
| 61 |  |  | howmany_dims[0].os = 1 ; | 
| 62 |  |  |  | 
| 63 |  |  | /* forward fft */ | 
| 64 |  |  | fftPlan = fftw_plan_guru_split_dft( rank, dims, | 
| 65 |  |  | howmany_rank, howmany_dims, | 
| 66 |  |  | rdata, idata, | 
| 67 |  |  | workspace, workspace+(4*bw*bw), | 
| 68 |  |  | FFTW_ESTIMATE ); | 
| 69 |  |  |  | 
| 70 |  |  | //make the weights | 
| 71 |  |  | makeweights( bw, weights ); | 
| 72 |  |  | } | 
| 73 |  |  |  | 
| 74 |  |  | SphereHarm::~SphereHarm(){ | 
| 75 |  |  | //free up memory | 
| 76 |  |  | fftw_destroy_plan( fftPlan ); | 
| 77 |  |  | fftw_destroy_plan( dctPlan ); | 
| 78 |  |  |  | 
| 79 |  |  | fftw_free(workspace); | 
| 80 |  |  | fftw_free(seminaive_naive_table); | 
| 81 |  |  | fftw_free(seminaive_naive_tablespace); | 
| 82 |  |  | fftw_free(weights); | 
| 83 |  |  | fftw_free(icoeffs); | 
| 84 |  |  | fftw_free(rcoeffs); | 
| 85 |  |  | fftw_free(idata); | 
| 86 |  |  | fftw_free(rdata); | 
| 87 |  |  | } | 
| 88 |  |  |  | 
| 89 |  |  | void SphereHarm::doTransforms(vector<double> gridData){ | 
| 90 |  |  | int i; | 
| 91 |  |  |  | 
| 92 |  |  | //load the data | 
| 93 |  |  | for (i=0; i<size*size; i++){ | 
| 94 |  |  | rdata[i] = gridData[i]; | 
| 95 |  |  | //our data is all real, so load the imaginary part with zeros | 
| 96 |  |  | idata[i] = 0.0; | 
| 97 |  |  | } | 
| 98 |  |  |  | 
| 99 |  |  | //do the forward spherical transform | 
| 100 |  |  | FST_semi_memo(rdata, idata, | 
| 101 |  |  | rcoeffs, icoeffs, | 
| 102 |  |  | bw, | 
| 103 |  |  | seminaive_naive_table, | 
| 104 |  |  | workspace, | 
| 105 |  |  | 0, | 
| 106 |  |  | cutoff, | 
| 107 |  |  | &dctPlan, | 
| 108 |  |  | &fftPlan, | 
| 109 |  |  | weights ); | 
| 110 |  |  | } | 
| 111 |  |  |  | 
| 112 | chrisfen | 1292 | void SphereHarm::printShapesFileStart(char name[200], char particle[80], | 
| 113 | chrisfen | 1287 | double mass, double momInert[3][3]){ | 
| 114 | gezelter | 1360 | ofstream myShapes(name); | 
| 115 |  |  | printShapesStreamStart(myShapes, particle, mass, momInert); | 
| 116 |  |  | } | 
| 117 |  |  |  | 
| 118 |  |  | void SphereHarm::printShapesStreamStart(ostream& shapes, char particle[80], | 
| 119 |  |  | double mass, double momInert[3][3]){ | 
| 120 | chrisfen | 1298 | shapes << "begin ShapeInfo\n"; | 
| 121 |  |  | shapes << "#name\t\tmass\tI_xx\tI_yy\tI_zz\n"; | 
| 122 | chrisfen | 1287 | shapes << particle << "\t" << mass << "\t" << momInert[0][0] << "\t" | 
| 123 | chrisfen | 1292 | << momInert[1][1] << "\t" << momInert[2][2] << "\n"; | 
| 124 | chrisfen | 1298 | shapes << "end ShapeInfo\n"; | 
| 125 | chrisfen | 1287 | } | 
| 126 |  |  |  | 
| 127 | gezelter | 1360 |  | 
| 128 |  |  |  | 
| 129 | chrisfen | 1313 | void SphereHarm::printToShapesFile(char name[200], int index, double tolVal){ | 
| 130 | chrisfen | 1287 | ofstream shapes(name, ios::app); | 
| 131 | gezelter | 1360 |  | 
| 132 |  |  | printToShapesStream(shapes, index, tolVal); | 
| 133 |  |  | } | 
| 134 |  |  |  | 
| 135 |  |  | void SphereHarm::printToShapesStream(ostream& shapes, int index, double tolVal) { | 
| 136 | chrisfen | 1287 |  | 
| 137 |  |  | biggest = 0.0; | 
| 138 |  |  | nfuncs = 0; | 
| 139 |  |  | for ( l = 0 ; l < bw ; l++ ) { | 
| 140 |  |  | for (m = 0; m < l+1; m++) { | 
| 141 |  |  | dummy1 = seanindex(m, l, bw); | 
| 142 |  |  | dummy2 = seanindex(-m, l, bw); | 
| 143 |  |  |  | 
| 144 |  |  | if (m == 0) { | 
| 145 | chrisfen | 1309 | cm = normFactor(l,m)*rcoeffs[dummy1]; | 
| 146 |  |  | sm = normFactor(l,m)*icoeffs[dummy1]; | 
| 147 | chrisfen | 1287 | } else { | 
| 148 | chrisfen | 1309 | cm = normFactor(l,m)*(pow(-1.0,(double)m)*rcoeffs[dummy1] | 
| 149 |  |  | + rcoeffs[dummy2]); | 
| 150 |  |  | sm = normFactor(l,m)*(pow(-1.0,(double)m)*icoeffs[dummy1] | 
| 151 |  |  | - icoeffs[dummy2]); | 
| 152 | chrisfen | 1287 | } | 
| 153 |  |  |  | 
| 154 |  |  | if (fabs(cm) > biggest) biggest = fabs(cm); | 
| 155 |  |  | if (fabs(sm) > biggest) biggest = fabs(sm); | 
| 156 |  |  | } | 
| 157 |  |  | } | 
| 158 |  |  | for ( l = 0 ; l < bw ; l++ ) { | 
| 159 |  |  | for (m = 0; m < l+1; m++) { | 
| 160 |  |  | dummy1 = seanindex(m, l, bw); | 
| 161 |  |  | dummy2 = seanindex(-m, l, bw); | 
| 162 |  |  |  | 
| 163 |  |  | if (m == 0) { | 
| 164 | chrisfen | 1309 | cm = normFactor(l,m)*rcoeffs[dummy1]; | 
| 165 |  |  | sm = normFactor(l,m)*icoeffs[dummy1]; | 
| 166 | chrisfen | 1287 | } else { | 
| 167 | chrisfen | 1309 | cm = normFactor(l,m)*(pow(-1.0,(double)m)*rcoeffs[dummy1] | 
| 168 |  |  | + rcoeffs[dummy2]); | 
| 169 |  |  | sm = normFactor(l,m)*(pow(-1.0,(double)m)*icoeffs[dummy1] | 
| 170 |  |  | - icoeffs[dummy2]); | 
| 171 | chrisfen | 1287 | } | 
| 172 |  |  |  | 
| 173 | chrisfen | 1313 | if (fabs(cm) > tolVal * biggest) nfuncs++; | 
| 174 |  |  | if (fabs(sm) > tolVal * biggest) nfuncs++; | 
| 175 | chrisfen | 1287 | } | 
| 176 |  |  | } | 
| 177 |  |  |  | 
| 178 |  |  | switch(index){ | 
| 179 |  |  | case 0:{ | 
| 180 |  |  | shapes << "\nbegin ContactFunctions\n"; | 
| 181 |  |  | shapes << "#l\tm\tsin or cos\tcoeff (Ang)\n"; | 
| 182 |  |  | }; break; | 
| 183 |  |  | case 1:{ | 
| 184 |  |  | shapes << "\nbegin RangeFunctions\n"; | 
| 185 |  |  | shapes << "#l\tm\tsin or cos\tcoeff (Ang)\n"; | 
| 186 |  |  | }; break; | 
| 187 |  |  | case 2:{ | 
| 188 |  |  | shapes << "\nbegin StrengthFunctions\n"; | 
| 189 |  |  | shapes << "#l\tm\tsin or cos\tcoeff (kcal/mol)\n"; | 
| 190 |  |  | }; break; | 
| 191 |  |  | } | 
| 192 |  |  |  | 
| 193 |  |  | for ( l = 0 ; l < bw ; l++ ) { | 
| 194 |  |  | for (m = 0; m < l+1; m++) { | 
| 195 |  |  | dummy1 = seanindex(m, l, bw); | 
| 196 |  |  | dummy2 = seanindex(-m, l, bw); | 
| 197 |  |  |  | 
| 198 |  |  | if (m == 0) { | 
| 199 | chrisfen | 1309 | cm = normFactor(l,m)*rcoeffs[dummy1]; | 
| 200 |  |  | sm = normFactor(l,m)*icoeffs[dummy1]; | 
| 201 | chrisfen | 1287 | } else { | 
| 202 | chrisfen | 1309 | cm = normFactor(l,m)*(pow(-1.0,(double)m)*rcoeffs[dummy1] | 
| 203 |  |  | + rcoeffs[dummy2]); | 
| 204 |  |  | sm = normFactor(l,m)*(pow(-1.0,(double)m)*icoeffs[dummy1] | 
| 205 |  |  | - icoeffs[dummy2]); | 
| 206 | chrisfen | 1287 | } | 
| 207 |  |  |  | 
| 208 | chrisfen | 1313 | if (fabs(cm) > tolVal * biggest) | 
| 209 | chrisfen | 1292 | shapes << l << "\t" << m << "\tcos\t\t" << cm << "\n"; | 
| 210 | chrisfen | 1313 | if (fabs(sm) > tolVal * biggest) | 
| 211 | chrisfen | 1292 | shapes << l << "\t" << m << "\tsin\t\t" << sm << "\n"; | 
| 212 | chrisfen | 1287 | } | 
| 213 |  |  | } | 
| 214 |  |  | switch(index){ | 
| 215 |  |  | case 0:{ | 
| 216 | chrisfen | 1292 | shapes << "end ContactFunctions\n"; | 
| 217 | chrisfen | 1287 | }; break; | 
| 218 |  |  | case 1:{ | 
| 219 | chrisfen | 1292 | shapes << "end RangeFunctions\n"; | 
| 220 | chrisfen | 1287 | }; break; | 
| 221 |  |  | case 2:{ | 
| 222 | chrisfen | 1292 | shapes << "end StrengthFunctions\n"; | 
| 223 | chrisfen | 1287 | }; break; | 
| 224 |  |  | } | 
| 225 |  |  | } | 
| 226 |  |  |  | 
| 227 | chrisfen | 1309 | double SphereHarm::normFactor(int L, int M){ | 
| 228 |  |  | // normalization factor: | 
| 229 |  |  | if (L+M > 170){ | 
| 230 |  |  | printf("Warning: A coefficient was omitted because l + m > 170.\n" | 
| 231 |  |  | "\tThe double buffer overflows with factorial calculations\n" | 
| 232 |  |  | "\tof 170 and higher.  You should consider using a smaller\n" | 
| 233 |  |  | "\tbandwidth if you aren't okay with the loss of the %i, %i\n" | 
| 234 |  |  | "\tspherical harmonic.\n", L, M); | 
| 235 |  |  | return 0.0; | 
| 236 |  |  | } | 
| 237 |  |  | else | 
| 238 |  |  | return sqrt( (2*L+1)/(4.0*M_PI)*factorialFunc((double)(L-M)) | 
| 239 |  |  | / factorialFunc(double(L+M)) ); | 
| 240 |  |  | } | 
| 241 |  |  |  | 
| 242 |  |  | double SphereHarm::factorialFunc(double n) { | 
| 243 |  |  | if (n < 0.0) return NAN; | 
| 244 |  |  | else { | 
| 245 |  |  | if (n < 2.0) return 1.0; | 
| 246 |  |  | else | 
| 247 |  |  | return n*factorialFunc(n-1.0); | 
| 248 |  |  | } | 
| 249 |  |  | } |