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| 1 | + |
| 2 | +#include "EbsdLib/Core/EbsdLibConstants.h" |
| 3 | + |
| 4 | +#include "EbsdLib/Core/OrientationTransformation.hpp" |
| 5 | +#include "EbsdLib/LaueOps/LaueOps.h" |
| 6 | +#include "EbsdLib/Math/EbsdLibMath.h" |
| 7 | +#include "EbsdLib/Math/Matrix3X1.hpp" |
| 8 | +#include "EbsdLib/Math/Matrix3X3.hpp" |
| 9 | + |
| 10 | +#include <cmath> |
| 11 | +#include <fstream> |
| 12 | +#include <iomanip> |
| 13 | +#include <iostream> |
| 14 | +#include <limits> |
| 15 | +#include <map> |
| 16 | +#include <string> |
| 17 | +#include <vector> |
| 18 | + |
| 19 | +const double sq22 = 0.7071067811865475244; // sqrt(2)/2 |
| 20 | +static double sq32 = std::sqrt(3.0) / 2.0; |
| 21 | + |
| 22 | +const double half = 0.50; // 1/2 |
| 23 | + |
| 24 | +std::vector<QuatD> SYM_Qsymop = { |
| 25 | + QuatD(0.0, 0.0, 0.0, 0.0), // 0: JUNK. |
| 26 | + QuatD(1.0, 0.0, 0.0, 0.0), // 1: identity operator |
| 27 | + QuatD(0.0, 1.0, 0.0, 0.0), // 2: 180@[100] |
| 28 | + QuatD(0.0, 0.0, 1.0, 0.0), // 3: 180@[010] |
| 29 | + QuatD(0.0, 0.0, 0.0, 1.0), // 4: 180@[001] |
| 30 | + QuatD(sq22, sq22, 0.0, 0.0), // 5: 90@[100] |
| 31 | + QuatD(sq22, 0.0, sq22, 0.0), // 6: 90@[010] |
| 32 | + QuatD(sq22, 0.0, 0.0, sq22), // 7: 90@[001] |
| 33 | + QuatD(sq22, -sq22, 0.0, 0.0), // 8: 270@[100] |
| 34 | + QuatD(sq22, 0.0, -sq22, 0.0), // 9: 270@[010] |
| 35 | + QuatD(sq22, 0.0, 0.0, -sq22), // 10: 270@[001] |
| 36 | + QuatD(0.0, sq22, sq22, 0.0), // 11: 180@[110] |
| 37 | + QuatD(0.0, -sq22, sq22, 0.0), // 12: 180@[-110] |
| 38 | + QuatD(0.0, 0.0, sq22, sq22), // 13: 180@[011] |
| 39 | + QuatD(0.0, 0.0, -sq22, sq22), // 14: 180@[0-11] |
| 40 | + QuatD(0.0, sq22, 0.0, sq22), // 15: 180@[101] |
| 41 | + QuatD(0.0, -sq22, 0.0, sq22), // 16: 180@[-101] |
| 42 | + QuatD(half, half, half, half), // 17: 120@[111] |
| 43 | + QuatD(half, -half, -half, -half), // 18: 120@[-1-1-1] |
| 44 | + QuatD(half, half, -half, half), // 19: 120@[1-11] |
| 45 | + QuatD(half, -half, half, -half), // 20: 120@[-11-1] |
| 46 | + QuatD(half, -half, half, half), // 21: 120@[-111] |
| 47 | + QuatD(half, half, -half, -half), // 22: 120@[1-1-1] |
| 48 | + QuatD(half, -half, -half, half), // 23: 120@[-1-11] |
| 49 | + QuatD(half, half, half, -half), // 24: 120@[11-1] |
| 50 | + QuatD(sq32, 0.0, 0.0, half), // 25: 60@[001] (hexagonal/trigonal operators start here) |
| 51 | + QuatD(half, 0.0, 0.0, sq32), // 26: 120@[001] |
| 52 | + QuatD(0.0, 0.0, 0.0, 1.0), // 27: 180@[001] (duplicate from above, but useful to keep it here) |
| 53 | + QuatD(-half, 0.0, 0.0, sq32), // 28: 240@[001] |
| 54 | + QuatD(-sq32, 0.0, 0.0, half), // 29: 300@[001] |
| 55 | + QuatD(0.0, 1.0, 0.0, 0.0), // 30: 180@[100] |
| 56 | + QuatD(0.0, sq32, half, 0.0), // 31: 180@[xxx] |
| 57 | + QuatD(0.0, half, sq32, 0.0), // 32: 180@[xxx] |
| 58 | + QuatD(0.0, 0.0, 1.0, 0.0), // 33: 180@[010] |
| 59 | + QuatD(0.0, -half, sq32, 0.0), // 34: 180@[xxx] |
| 60 | + QuatD(0.0, -sq32, half, 0.0), // 35: 180@[xxx] |
| 61 | +}; |
| 62 | + |
| 63 | +std::vector<QuatD> InitRotationPointGroup(int rotPointGroup) |
| 64 | +{ |
| 65 | + std::vector<QuatD> sym_ops; |
| 66 | + |
| 67 | + // identity operator is part of all point groups |
| 68 | + // sym_ops.at = 0.D0 // initialize all entries to zero |
| 69 | + sym_ops.push_back(SYM_Qsymop[1]); |
| 70 | + size_t i = 0; |
| 71 | + // select statement for each individual rotational point group (see typedefs.f90 for SYM_Qsymop definitions) |
| 72 | + switch(rotPointGroup) |
| 73 | + { |
| 74 | + case(1): // 1 (no additional symmetry elements) |
| 75 | + sym_ops.resize(1); |
| 76 | + // sym_ops.at(2-1) = -sym_ops.at(1) |
| 77 | + break; |
| 78 | + case(2): // 2 (we'll assume that the two-fold axis lies along the e_y-axis) |
| 79 | + sym_ops.resize(2); |
| 80 | + sym_ops.at(2 - 1) = SYM_Qsymop[3]; |
| 81 | + break; |
| 82 | + case(222): // 222 |
| 83 | + sym_ops.resize(4); |
| 84 | + for(i = 2; i <= 4; i++) |
| 85 | + sym_ops.at(i - 1) = SYM_Qsymop[i]; |
| 86 | + |
| 87 | + break; |
| 88 | + case(4): // 4 |
| 89 | + sym_ops.resize(4); |
| 90 | + sym_ops.at(2 - 1) = SYM_Qsymop[4]; |
| 91 | + sym_ops.at(3 - 1) = SYM_Qsymop[7]; |
| 92 | + sym_ops.at(4 - 1) = SYM_Qsymop[10]; |
| 93 | + break; |
| 94 | + case(422): // 422 |
| 95 | + sym_ops.resize(8); |
| 96 | + sym_ops.at(2 - 1) = SYM_Qsymop[4]; |
| 97 | + sym_ops.at(3 - 1) = SYM_Qsymop[7]; |
| 98 | + sym_ops.at(4 - 1) = SYM_Qsymop[10]; |
| 99 | + sym_ops.at(5 - 1) = SYM_Qsymop[2]; |
| 100 | + sym_ops.at(6 - 1) = SYM_Qsymop[3]; |
| 101 | + sym_ops.at(7 - 1) = SYM_Qsymop[11]; |
| 102 | + sym_ops.at(8 - 1) = SYM_Qsymop[12]; |
| 103 | + break; |
| 104 | + case(3): // 3 |
| 105 | + sym_ops.resize(3); |
| 106 | + sym_ops.at(2 - 1) = SYM_Qsymop[26]; |
| 107 | + sym_ops.at(3 - 1) = SYM_Qsymop[28]; |
| 108 | + // call FatalError('InitDictionaryIndexing','this symmetry has not yet been implemented (pg 3)') |
| 109 | + break; |
| 110 | + case(32): // 32 (needs special handling) |
| 111 | + sym_ops.resize(6); |
| 112 | + sym_ops.at(2 - 1) = SYM_Qsymop[26]; |
| 113 | + sym_ops.at(3 - 1) = SYM_Qsymop[28]; |
| 114 | + sym_ops.at(4 - 1) = SYM_Qsymop[30]; |
| 115 | + sym_ops.at(5 - 1) = SYM_Qsymop[32]; |
| 116 | + sym_ops.at(6 - 1) = SYM_Qsymop[34]; |
| 117 | + // call FatalError('InitDictionaryIndexing','this symmetry has not yet been implemented (pg 32)') |
| 118 | + break; |
| 119 | + case(6): // 6 |
| 120 | + sym_ops.resize(6); |
| 121 | + for(i = 25; i <= 29; i++) // i=25,29 |
| 122 | + sym_ops.at(i - 23 - 1) = SYM_Qsymop[i]; |
| 123 | + |
| 124 | + break; |
| 125 | + case(622): // 622 |
| 126 | + sym_ops.resize(12); |
| 127 | + for(i = 25; i <= 35; i++) // do i=25,35 |
| 128 | + sym_ops.at(i - 23 - 1) = SYM_Qsymop[i]; |
| 129 | + |
| 130 | + break; |
| 131 | + case(23): // 23 |
| 132 | + sym_ops.resize(12); |
| 133 | + for(i = 2; i <= 4; i++) // do i=2,4 |
| 134 | + sym_ops.at(i - 1) = SYM_Qsymop[i]; |
| 135 | + |
| 136 | + for(i = 17; i <= 24; i++) // do i=17,24 |
| 137 | + sym_ops.at(4 + (i - 16) - 1) = SYM_Qsymop[i]; |
| 138 | + |
| 139 | + break; |
| 140 | + case(432): // 432 |
| 141 | + sym_ops.resize(24); |
| 142 | + for(i = 2; i <= 24; i++) // do i=2,24 |
| 143 | + sym_ops.at(i - 1) = SYM_Qsymop[i]; |
| 144 | + |
| 145 | + break; |
| 146 | + |
| 147 | + default: // this should never happen ... |
| 148 | + throw std::runtime_error("Rotation Point Group is not recognized"); |
| 149 | + } |
| 150 | + |
| 151 | + return sym_ops; |
| 152 | +} |
| 153 | + |
| 154 | +void Print3x3(const OrientationD& m) |
| 155 | +{ |
| 156 | + std::cout << std::fixed; |
| 157 | + std::cout << std::setprecision(16); |
| 158 | + size_t i = 0; |
| 159 | + std::cout << " {{" << m[i++] << ", " << m[i++] << ", " << m[i++] << "},\n"; |
| 160 | + std::cout << " {" << m[i++] << ", " << m[i++] << ", " << m[i++] << "},\n"; |
| 161 | + std::cout << " {" << m[i++] << ", " << m[i++] << ", " << m[i++] << "}},\n"; |
| 162 | +} |
| 163 | + |
| 164 | +void PrintQuat(const QuatD& q, bool sv) |
| 165 | +{ |
| 166 | + std::cout << std::fixed; |
| 167 | + std::cout << std::setprecision(16); |
| 168 | + size_t i = 0; |
| 169 | + if(sv) |
| 170 | + { |
| 171 | + std::cout << " QuatD(" << q[1] << ", " << q[2] << ", " << q[3] << ", " << q[0] << ")"; |
| 172 | + } |
| 173 | + { |
| 174 | + std::cout << " QuatD(" << q[i++] << ", " << q[i++] << ", " << q[i++] << ", " << q[i++] << ")"; |
| 175 | + } |
| 176 | +} |
| 177 | + |
| 178 | +void PrintRod(const OrientationD& q) |
| 179 | +{ |
| 180 | + std::cout << std::fixed; |
| 181 | + std::cout << std::setprecision(16); |
| 182 | + |
| 183 | + std::cout << " {" << (std::isinf(q[0]) ? 10.0E12 : q[0]) << ", " << (std::isinf(q[1]) ? 10.0E12 : q[1]) << ", " << (std::isinf(q[2]) ? 10.0E12 : q[2]) << ", " |
| 184 | + << (std::isinf(q[3]) ? 10.0E12 : q[3]) << "}"; |
| 185 | +} |
| 186 | + |
| 187 | +// ----------------------------------------------------------------------------- |
| 188 | +int main(int argc, char* argv[]) |
| 189 | +{ |
| 190 | + std::cout << "Starting SymOP GenCode" << std::endl; |
| 191 | + |
| 192 | + std::vector<int> rotPointGroup = {1, 2, 222, 4, 422, 3, 32, 6, 622, 23, 432}; |
| 193 | + std::vector<std::string> names = {"TriclinicOps", "MonoclinicOps", "OrthorhombicOps", "TetragonalLowOps", "TetragonalOps", "TrigonalLowOps", |
| 194 | + "TrigonalOps", "HexagonalLowOps", "HexagonalOps", "CubicLowOps", "CubicOps"}; |
| 195 | + |
| 196 | + for(size_t i = 0; i < rotPointGroup.size(); i++) |
| 197 | + { |
| 198 | + std::cout << "###########################################################################\n"; |
| 199 | + std::cout << names[i] << "\n// Rotation Point Group: " << rotPointGroup[i] << std::endl; |
| 200 | + auto symOPs = InitRotationPointGroup(rotPointGroup[i]); |
| 201 | + |
| 202 | + for(auto& quat : symOPs) |
| 203 | + { |
| 204 | + quat = QuatD(quat[1], quat[2], quat[3], quat[0]); |
| 205 | + } |
| 206 | + |
| 207 | + std::cout << std::setprecision(8); |
| 208 | + std::cout << "// clang-format off\n"; |
| 209 | + std::cout << "static const std::vector<QuatD> QuatSym ={\n"; |
| 210 | + for(const auto& symOp : symOPs) |
| 211 | + { |
| 212 | + PrintQuat(symOp, false); |
| 213 | + std::cout << ",\n"; |
| 214 | + } |
| 215 | + std::cout << "};\n\n"; |
| 216 | + |
| 217 | + std::cout << "static const std::vector<OrientationD> RodSym = {\n"; |
| 218 | + for(const auto& symOp : symOPs) |
| 219 | + { |
| 220 | + auto ro = OrientationTransformation::qu2ro<QuatD, OrientationD>(symOp); |
| 221 | + PrintRod(ro); |
| 222 | + std::cout << ",\n"; |
| 223 | + } |
| 224 | + std::cout << "};\n\n"; |
| 225 | + |
| 226 | + std::cout << "static const double MatSym[k_SymOpsCount][3][3] = {\n"; |
| 227 | + for(const auto& symOp : symOPs) |
| 228 | + { |
| 229 | + auto om = OrientationTransformation::qu2om<QuatD, OrientationD>(symOp); |
| 230 | + Print3x3(om); |
| 231 | + std::cout << " \n"; |
| 232 | + } |
| 233 | + std::cout << "};\n"; |
| 234 | + std::cout << "// clang-format on\n\n"; |
| 235 | + } |
| 236 | + |
| 237 | + return -1; |
| 238 | + |
| 239 | + return 0; |
| 240 | +} |
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