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openmc-dev / openmc / 15067923817

16 May 2025 11:59AM UTC coverage: 85.22% (+0.02%) from 85.2%
15067923817

Pull #3375

github

web-flow
Merge c6894ff20 into 7382b5d1c
Pull Request #3375: added test for dagmc geometry plot

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96.32
/src/random_ray/random_ray.cpp
1
#include "openmc/random_ray/random_ray.h"
2

3
#include "openmc/constants.h"
4
#include "openmc/geometry.h"
5
#include "openmc/message_passing.h"
6
#include "openmc/mgxs_interface.h"
7
#include "openmc/random_ray/flat_source_domain.h"
8
#include "openmc/random_ray/linear_source_domain.h"
9
#include "openmc/search.h"
10
#include "openmc/settings.h"
11
#include "openmc/simulation.h"
12

13
#include "openmc/distribution_spatial.h"
14
#include "openmc/random_dist.h"
15
#include "openmc/source.h"
16

17
namespace openmc {
18

19
//==============================================================================
20
// Non-method functions
21
//==============================================================================
22

23
// returns 1 - exp(-tau)
24
// Equivalent to -(_expm1f(-tau)), but faster
25
// Written by Colin Josey.
26
float cjosey_exponential(float tau)
1,139,144,567✔
27
{
28
  constexpr float c1n = -1.0000013559236386308f;
1,139,144,567✔
29
  constexpr float c2n = 0.23151368626911062025f;
1,139,144,567✔
30
  constexpr float c3n = -0.061481916409314966140f;
1,139,144,567✔
31
  constexpr float c4n = 0.0098619906458127653020f;
1,139,144,567✔
32
  constexpr float c5n = -0.0012629460503540849940f;
1,139,144,567✔
33
  constexpr float c6n = 0.00010360973791574984608f;
1,139,144,567✔
34
  constexpr float c7n = -0.000013276571933735820960f;
1,139,144,567✔
35

36
  constexpr float c0d = 1.0f;
1,139,144,567✔
37
  constexpr float c1d = -0.73151337729389001396f;
1,139,144,567✔
38
  constexpr float c2d = 0.26058381273536471371f;
1,139,144,567✔
39
  constexpr float c3d = -0.059892419041316836940f;
1,139,144,567✔
40
  constexpr float c4d = 0.0099070188241094279067f;
1,139,144,567✔
41
  constexpr float c5d = -0.0012623388962473160860f;
1,139,144,567✔
42
  constexpr float c6d = 0.00010361277635498731388f;
1,139,144,567✔
43
  constexpr float c7d = -0.000013276569500666698498f;
1,139,144,567✔
44

45
  float x = -tau;
1,139,144,567✔
46

47
  float den = c7d;
1,139,144,567✔
48
  den = den * x + c6d;
1,139,144,567✔
49
  den = den * x + c5d;
1,139,144,567✔
50
  den = den * x + c4d;
1,139,144,567✔
51
  den = den * x + c3d;
1,139,144,567✔
52
  den = den * x + c2d;
1,139,144,567✔
53
  den = den * x + c1d;
1,139,144,567✔
54
  den = den * x + c0d;
1,139,144,567✔
55

56
  float num = c7n;
1,139,144,567✔
57
  num = num * x + c6n;
1,139,144,567✔
58
  num = num * x + c5n;
1,139,144,567✔
59
  num = num * x + c4n;
1,139,144,567✔
60
  num = num * x + c3n;
1,139,144,567✔
61
  num = num * x + c2n;
1,139,144,567✔
62
  num = num * x + c1n;
1,139,144,567✔
63
  num = num * x;
1,139,144,567✔
64

65
  return num / den;
1,139,144,567✔
66
}
67

68
// The below two functions (exponentialG and exponentialG2) were developed
69
// by Colin Josey. The implementation of these functions is closely based
70
// on the OpenMOC versions of these functions. The OpenMOC license is given
71
// below:
72

73
// Copyright (C) 2012-2023 Massachusetts Institute of Technology and OpenMOC
74
// contributors
75
//
76
// Permission is hereby granted, free of charge, to any person obtaining a copy
77
// of this software and associated documentation files (the "Software"), to deal
78
// in the Software without restriction, including without limitation the rights
79
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
80
// copies of the Software, and to permit persons to whom the Software is
81
// furnished to do so, subject to the following conditions:
82
//
83
// The above copyright notice and this permission notice shall be included in
84
// all copies or substantial portions of the Software.
85
//
86
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
87
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
88
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
89
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
90
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
91
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
92
// SOFTWARE.
93

94
// Computes y = 1/x-(1-exp(-x))/x**2 using a 5/6th order rational
95
// approximation. It is accurate to 2e-7 over [0, 1e5]. Developed by Colin
96
// Josey using Remez's algorithm, with original implementation in OpenMOC at:
97
// https://github.com/mit-crpg/OpenMOC/blob/develop/src/exponentials.h
98
float exponentialG(float tau)
2,129,833,530✔
99
{
100
  // Numerator coefficients in rational approximation for 1/x - (1 - exp(-x)) /
101
  // x^2
102
  constexpr float d0n = 0.5f;
2,129,833,530✔
103
  constexpr float d1n = 0.176558112351595f;
2,129,833,530✔
104
  constexpr float d2n = 0.04041584305811143f;
2,129,833,530✔
105
  constexpr float d3n = 0.006178333902037397f;
2,129,833,530✔
106
  constexpr float d4n = 0.0006429894635552992f;
2,129,833,530✔
107
  constexpr float d5n = 0.00006064409107557148f;
2,129,833,530✔
108

109
  // Denominator coefficients in rational approximation for 1/x - (1 - exp(-x))
110
  // / x^2
111
  constexpr float d0d = 1.0f;
2,129,833,530✔
112
  constexpr float d1d = 0.6864462055546078f;
2,129,833,530✔
113
  constexpr float d2d = 0.2263358514260129f;
2,129,833,530✔
114
  constexpr float d3d = 0.04721469893686252f;
2,129,833,530✔
115
  constexpr float d4d = 0.006883236664917246f;
2,129,833,530✔
116
  constexpr float d5d = 0.0007036272419147752f;
2,129,833,530✔
117
  constexpr float d6d = 0.00006064409107557148f;
2,129,833,530✔
118

119
  float x = tau;
2,129,833,530✔
120

121
  float num = d5n;
2,129,833,530✔
122
  num = num * x + d4n;
2,129,833,530✔
123
  num = num * x + d3n;
2,129,833,530✔
124
  num = num * x + d2n;
2,129,833,530✔
125
  num = num * x + d1n;
2,129,833,530✔
126
  num = num * x + d0n;
2,129,833,530✔
127

128
  float den = d6d;
2,129,833,530✔
129
  den = den * x + d5d;
2,129,833,530✔
130
  den = den * x + d4d;
2,129,833,530✔
131
  den = den * x + d3d;
2,129,833,530✔
132
  den = den * x + d2d;
2,129,833,530✔
133
  den = den * x + d1d;
2,129,833,530✔
134
  den = den * x + d0d;
2,129,833,530✔
135

136
  return num / den;
2,129,833,530✔
137
}
138

139
// Computes G2 : y = 2/3 - (1 + 2/x) * (1/x + 0.5 - (1 + 1/x) * (1-exp(-x)) /
140
// x) using a 5/5th order rational approximation. It is accurate to 1e-6 over
141
// [0, 1e6]. Developed by Colin Josey using Remez's algorithm, with original
142
// implementation in OpenMOC at:
143
// https://github.com/mit-crpg/OpenMOC/blob/develop/src/exponentials.h
144
float exponentialG2(float tau)
2,129,833,530✔
145
{
146

147
  // Coefficients for numerator in rational approximation
148
  constexpr float g1n = -0.08335775885589858f;
2,129,833,530✔
149
  constexpr float g2n = -0.003603942303847604f;
2,129,833,530✔
150
  constexpr float g3n = 0.0037673183263550827f;
2,129,833,530✔
151
  constexpr float g4n = 0.00001124183494990467f;
2,129,833,530✔
152
  constexpr float g5n = 0.00016837426505799449f;
2,129,833,530✔
153

154
  // Coefficients for denominator in rational approximation
155
  constexpr float g1d = 0.7454048371823628f;
2,129,833,530✔
156
  constexpr float g2d = 0.23794300531408347f;
2,129,833,530✔
157
  constexpr float g3d = 0.05367250964303789f;
2,129,833,530✔
158
  constexpr float g4d = 0.006125197988351906f;
2,129,833,530✔
159
  constexpr float g5d = 0.0010102514456857377f;
2,129,833,530✔
160

161
  float x = tau;
2,129,833,530✔
162

163
  float num = g5n;
2,129,833,530✔
164
  num = num * x + g4n;
2,129,833,530✔
165
  num = num * x + g3n;
2,129,833,530✔
166
  num = num * x + g2n;
2,129,833,530✔
167
  num = num * x + g1n;
2,129,833,530✔
168
  num = num * x;
2,129,833,530✔
169

170
  float den = g5d;
2,129,833,530✔
171
  den = den * x + g4d;
2,129,833,530✔
172
  den = den * x + g3d;
2,129,833,530✔
173
  den = den * x + g2d;
2,129,833,530✔
174
  den = den * x + g1d;
2,129,833,530✔
175
  den = den * x + 1.0f;
2,129,833,530✔
176

177
  return num / den;
2,129,833,530✔
178
}
179

180
// Implementation of the Fisher-Yates shuffle algorithm.
181
// Algorithm adapted from:
182
//    https://en.cppreference.com/w/cpp/algorithm/random_shuffle#Version_3
183
void fisher_yates_shuffle(vector<int64_t>& arr, uint64_t* seed)
1,584,000✔
184
{
185
  // Loop over the array from the last element down to the second
186
  for (int i = arr.size() - 1; i > 0; --i) {
6,831,000✔
187
    // Generate a random index in the range [0, i]
188
    int j = uniform_int_distribution(0, i, seed);
5,247,000✔
189
    std::swap(arr[i], arr[j]);
5,247,000✔
190
  }
191
}
1,584,000✔
192

193
// Function to generate randomized Halton sequence samples
194
//
195
// Algorithm adapted from:
196
//      A. B. Owen. A randomized halton algorithm in r. Arxiv, 6 2017.
197
//      URL https://arxiv.org/abs/1706.02808
198
vector<double> rhalton(int dim, uint64_t* seed, int64_t skip = 0)
11,000✔
199
{
200
  if (dim > 10) {
11,000✔
201
    fatal_error("Halton sampling dimension too large");
×
202
  }
203
  int64_t b, res, dig;
204
  double b2r, ans;
205
  const std::array<int64_t, 10> primes = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29};
11,000✔
206
  vector<double> halton(dim, 0.0);
11,000✔
207

208
  vector<int64_t> perm;
11,000✔
209
  for (int D = 0; D < dim; ++D) {
66,000✔
210
    b = primes[D];
55,000✔
211
    perm.resize(b);
55,000✔
212
    b2r = 1.0 / b;
55,000✔
213
    res = skip;
55,000✔
214
    ans = 0.0;
55,000✔
215

216
    while ((1.0 - b2r) < 1.0) {
1,639,000✔
217
      std::iota(perm.begin(), perm.end(), 0);
1,584,000✔
218
      fisher_yates_shuffle(perm, seed);
1,584,000✔
219
      dig = res % b;
1,584,000✔
220
      ans += perm[dig] * b2r;
1,584,000✔
221
      res = (res - dig) / b;
1,584,000✔
222
      b2r /= b;
1,584,000✔
223
    }
224

225
    halton[D] = ans;
55,000✔
226
  }
227

228
  return halton;
22,000✔
229
}
11,000✔
230

231
//==============================================================================
232
// RandomRay implementation
233
//==============================================================================
234

235
// Static Variable Declarations
236
double RandomRay::distance_inactive_;
237
double RandomRay::distance_active_;
238
unique_ptr<Source> RandomRay::ray_source_;
239
RandomRaySourceShape RandomRay::source_shape_ {RandomRaySourceShape::FLAT};
240
bool RandomRay::mesh_subdivision_enabled_ {false};
241
RandomRaySampleMethod RandomRay::sample_method_ {RandomRaySampleMethod::PRNG};
242

243
RandomRay::RandomRay()
1,856,800✔
244
  : angular_flux_(data::mg.num_energy_groups_),
1,856,800✔
245
    delta_psi_(data::mg.num_energy_groups_),
1,856,800✔
246
    negroups_(data::mg.num_energy_groups_)
5,570,400✔
247
{
248
  if (source_shape_ == RandomRaySourceShape::LINEAR ||
1,856,800✔
249
      source_shape_ == RandomRaySourceShape::LINEAR_XY) {
1,035,100✔
250
    delta_moments_.resize(negroups_);
946,550✔
251
  }
252
}
1,856,800✔
253

254
RandomRay::RandomRay(uint64_t ray_id, FlatSourceDomain* domain) : RandomRay()
1,856,800✔
255
{
256
  initialize_ray(ray_id, domain);
1,856,800✔
257
}
1,856,800✔
258

259
// Transports ray until termination criteria are met
260
uint64_t RandomRay::transport_history_based_single_ray()
1,856,800✔
261
{
262
  using namespace openmc;
263
  while (alive()) {
766,782,115✔
264
    event_advance_ray();
766,782,115✔
265
    if (!alive())
766,782,115✔
266
      break;
1,856,800✔
267
    event_cross_surface();
764,925,315✔
268
  }
269

270
  return n_event();
1,856,800✔
271
}
272

273
// Transports ray across a single source region
274
void RandomRay::event_advance_ray()
766,782,115✔
275
{
276
  // Find the distance to the nearest boundary
277
  boundary() = distance_to_boundary(*this);
766,782,115✔
278
  double distance = boundary().distance;
766,782,115✔
279

280
  if (distance < 0.0) {
766,782,115✔
281
    mark_as_lost("Negative transport distance detected for particle " +
×
282
                 std::to_string(id()));
×
283
    return;
×
284
  }
285

286
  if (is_active_) {
766,782,115✔
287
    // If the ray is in the active length, need to check if it has
288
    // reached its maximum termination distance. If so, reduce
289
    // the ray traced length so that the ray does not overrun the
290
    // maximum numerical length (so as to avoid numerical bias).
291
    if (distance_travelled_ + distance >= distance_active_) {
620,621,430✔
292
      distance = distance_active_ - distance_travelled_;
1,856,800✔
293
      wgt() = 0.0;
1,856,800✔
294
    }
295

296
    distance_travelled_ += distance;
620,621,430✔
297
    attenuate_flux(distance, true);
620,621,430✔
298
  } else {
299
    // If the ray is still in the dead zone, need to check if it
300
    // has entered the active phase. If so, split into two segments (one
301
    // representing the final part of the dead zone, the other representing the
302
    // first part of the active length) and attenuate each. Otherwise, if the
303
    // full length of the segment is within the dead zone, attenuate as normal.
304
    if (distance_travelled_ + distance >= distance_inactive_) {
146,160,685✔
305
      is_active_ = true;
1,856,800✔
306
      double distance_dead = distance_inactive_ - distance_travelled_;
1,856,800✔
307
      attenuate_flux(distance_dead, false);
1,856,800✔
308

309
      double distance_alive = distance - distance_dead;
1,856,800✔
310

311
      // Ensure we haven't travelled past the active phase as well
312
      if (distance_alive > distance_active_) {
1,856,800✔
313
        distance_alive = distance_active_;
×
314
        wgt() = 0.0;
×
315
      }
316

317
      attenuate_flux(distance_alive, true, distance_dead);
1,856,800✔
318
      distance_travelled_ = distance_alive;
1,856,800✔
319
    } else {
320
      distance_travelled_ += distance;
144,303,885✔
321
      attenuate_flux(distance, false);
144,303,885✔
322
    }
323
  }
324

325
  // Advance particle
326
  for (int j = 0; j < n_coord(); ++j) {
2,147,483,647✔
327
    coord(j).r += distance * coord(j).u;
2,147,483,647✔
328
  }
329
}
330

331
void RandomRay::attenuate_flux(double distance, bool is_active, double offset)
768,638,915✔
332
{
333
  // Determine source region index etc.
334
  int i_cell = lowest_coord().cell;
768,638,915✔
335

336
  // The base source region is the spatial region index
337
  int64_t sr = domain_->source_region_offsets_[i_cell] + cell_instance();
768,638,915✔
338

339
  // Perform ray tracing across mesh
340
  if (mesh_subdivision_enabled_) {
768,638,915✔
341
    // Determine the mesh index for the base source region, if any
342
    int mesh_idx = domain_->base_source_regions_.mesh(sr);
425,121,774✔
343

344
    if (mesh_idx == C_NONE) {
425,121,774✔
345
      // If there's no mesh being applied to this cell, then
346
      // we just attenuate the flux as normal, and set
347
      // the mesh bin to 0
348
      attenuate_flux_inner(distance, is_active, sr, 0, r());
×
349
    } else {
350
      // If there is a mesh being applied to this cell, then
351
      // we loop over all the bin crossings and attenuate
352
      // separately.
353
      Mesh* mesh = model::meshes[mesh_idx].get();
425,121,774✔
354

355
      // We adjust the start and end positions of the ray slightly
356
      // to accomodate for floating point precision issues that tend
357
      // to occur at mesh boundaries that overlap with geometry lattice
358
      // boundaries.
359
      Position start = r() + (offset + TINY_BIT) * u();
425,121,774✔
360
      Position end = start + (distance - 2.0 * TINY_BIT) * u();
425,121,774✔
361
      double reduced_distance = (end - start).norm();
425,121,774✔
362

363
      // Ray trace through the mesh and record bins and lengths
364
      mesh_bins_.resize(0);
425,121,774✔
365
      mesh_fractional_lengths_.resize(0);
425,121,774✔
366
      mesh->bins_crossed(start, end, u(), mesh_bins_, mesh_fractional_lengths_);
425,121,774✔
367

368
      // Loop over all mesh bins and attenuate flux
369
      for (int b = 0; b < mesh_bins_.size(); b++) {
1,295,492,528✔
370
        double physical_length = reduced_distance * mesh_fractional_lengths_[b];
870,370,754✔
371
        attenuate_flux_inner(
870,370,754✔
372
          physical_length, is_active, sr, mesh_bins_[b], start);
870,370,754✔
373
        start += physical_length * u();
870,370,754✔
374
      }
375
    }
376
  } else {
377
    attenuate_flux_inner(distance, is_active, sr, C_NONE, r());
343,517,141✔
378
  }
379
}
768,638,915✔
380

381
void RandomRay::attenuate_flux_inner(
1,213,887,895✔
382
  double distance, bool is_active, int64_t sr, int mesh_bin, Position r)
383
{
384
  SourceRegionHandle srh;
1,213,887,895✔
385
  if (mesh_subdivision_enabled_) {
1,213,887,895✔
386
    srh = domain_->get_subdivided_source_region_handle(
870,370,754✔
387
      sr, mesh_bin, r, distance, u());
870,370,754✔
388
    if (srh.is_numerical_fp_artifact_) {
870,370,754✔
389
      return;
88✔
390
    }
391
  } else {
392
    srh = domain_->source_regions_.get_source_region_handle(sr);
343,517,141✔
393
  }
394

395
  switch (source_shape_) {
1,213,887,807✔
396
  case RandomRaySourceShape::FLAT:
603,143,134✔
397
    if (this->material() == MATERIAL_VOID) {
603,143,134✔
398
      attenuate_flux_flat_source_void(srh, distance, is_active, r);
8,287,235✔
399
    } else {
400
      attenuate_flux_flat_source(srh, distance, is_active, r);
594,855,899✔
401
    }
402
    break;
603,143,134✔
403
  case RandomRaySourceShape::LINEAR:
610,744,673✔
404
  case RandomRaySourceShape::LINEAR_XY:
405
    if (this->material() == MATERIAL_VOID) {
610,744,673✔
406
      attenuate_flux_linear_source_void(srh, distance, is_active, r);
8,287,235✔
407
    } else {
408
      attenuate_flux_linear_source(srh, distance, is_active, r);
602,457,438✔
409
    }
410
    break;
610,744,673✔
411
  default:
×
412
    fatal_error("Unknown source shape for random ray transport.");
×
413
  }
414
}
415

416
// This function forms the inner loop of the random ray transport process.
417
// It is responsible for several tasks. Based on the incoming angular flux
418
// of the ray and the source term in the region, the outgoing angular flux
419
// is computed. The delta psi between the incoming and outgoing fluxes is
420
// contributed to the estimate of the total scalar flux in the source region.
421
// Additionally, the contribution of the ray path to the stochastically
422
// estimated volume is also kept track of. All tasks involving writing
423
// to the data for the source region are done with a lock over the entire
424
// source region.  Locks are used instead of atomics as all energy groups
425
// must be written, such that locking once is typically much more efficient
426
// than use of many atomic operations corresponding to each energy group
427
// individually (at least on CPU). Several other bookkeeping tasks are also
428
// performed when inside the lock.
429
void RandomRay::attenuate_flux_flat_source(
594,855,899✔
430
  SourceRegionHandle& srh, double distance, bool is_active, Position r)
431
{
432
  // The number of geometric intersections is counted for reporting purposes
433
  n_event()++;
594,855,899✔
434

435
  // Get material
436
  int material = this->material();
594,855,899✔
437

438
  // MOC incoming flux attenuation + source contribution/attenuation equation
439
  for (int g = 0; g < negroups_; g++) {
1,734,000,466✔
440
    float sigma_t = domain_->sigma_t_[material * negroups_ + g];
1,139,144,567✔
441
    float tau = sigma_t * distance;
1,139,144,567✔
442
    float exponential = cjosey_exponential(tau); // exponential = 1 - exp(-tau)
1,139,144,567✔
443
    float new_delta_psi = (angular_flux_[g] - srh.source(g)) * exponential;
1,139,144,567✔
444
    delta_psi_[g] = new_delta_psi;
1,139,144,567✔
445
    angular_flux_[g] -= new_delta_psi;
1,139,144,567✔
446
  }
447

448
  // If ray is in the active phase (not in dead zone), make contributions to
449
  // source region bookkeeping
450

451
  // Aquire lock for source region
452
  srh.lock();
594,855,899✔
453

454
  if (is_active) {
594,855,899✔
455
    // Accumulate delta psi into new estimate of source region flux for
456
    // this iteration
457
    for (int g = 0; g < negroups_; g++) {
1,376,067,858✔
458
      srh.scalar_flux_new(g) += delta_psi_[g];
889,333,203✔
459
    }
460

461
    // Accomulate volume (ray distance) into this iteration's estimate
462
    // of the source region's volume
463
    srh.volume() += distance;
486,734,655✔
464

465
    srh.n_hits() += 1;
486,734,655✔
466
  }
467

468
  // Tally valid position inside the source region (e.g., midpoint of
469
  // the ray) if not done already
470
  if (!srh.position_recorded()) {
594,855,899✔
471
    Position midpoint = r + u() * (distance / 2.0);
1,530,628✔
472
    srh.position() = midpoint;
1,530,628✔
473
    srh.position_recorded() = 1;
1,530,628✔
474
  }
475

476
  // Release lock
477
  srh.unlock();
594,855,899✔
478
}
594,855,899✔
479

480
// Alternative flux attenuation function for true void regions.
481
void RandomRay::attenuate_flux_flat_source_void(
8,287,235✔
482
  SourceRegionHandle& srh, double distance, bool is_active, Position r)
483
{
484
  // The number of geometric intersections is counted for reporting purposes
485
  n_event()++;
8,287,235✔
486

487
  int material = this->material();
8,287,235✔
488

489
  // If ray is in the active phase (not in dead zone), make contributions to
490
  // source region bookkeeping
491
  if (is_active) {
8,287,235✔
492

493
    // Aquire lock for source region
494
    srh.lock();
6,892,402✔
495

496
    // Accumulate delta psi into new estimate of source region flux for
497
    // this iteration
498
    for (int g = 0; g < negroups_; g++) {
13,784,804✔
499
      srh.scalar_flux_new(g) += angular_flux_[g] * distance;
6,892,402✔
500
    }
501

502
    // Accomulate volume (ray distance) into this iteration's estimate
503
    // of the source region's volume
504
    srh.volume() += distance;
6,892,402✔
505
    srh.volume_sq() += distance * distance;
6,892,402✔
506
    srh.n_hits() += 1;
6,892,402✔
507

508
    // Tally valid position inside the source region (e.g., midpoint of
509
    // the ray) if not done already
510
    if (!srh.position_recorded()) {
6,892,402✔
511
      Position midpoint = r + u() * (distance / 2.0);
11,000✔
512
      srh.position() = midpoint;
11,000✔
513
      srh.position_recorded() = 1;
11,000✔
514
    }
515

516
    // Release lock
517
    srh.unlock();
6,892,402✔
518
  }
519

520
  // Add source to incoming angular flux, assuming void region
521
  if (settings::run_mode == RunMode::FIXED_SOURCE) {
8,287,235✔
522
    for (int g = 0; g < negroups_; g++) {
16,574,470✔
523
      angular_flux_[g] += srh.external_source(g) * distance;
8,287,235✔
524
    }
525
  }
526
}
8,287,235✔
527

528
void RandomRay::attenuate_flux_linear_source(
602,457,438✔
529
  SourceRegionHandle& srh, double distance, bool is_active, Position r)
530
{
531
  // The number of geometric intersections is counted for reporting purposes
532
  n_event()++;
602,457,438✔
533

534
  int material = this->material();
602,457,438✔
535

536
  Position& centroid = srh.centroid();
602,457,438✔
537
  Position midpoint = r + u() * (distance / 2.0);
602,457,438✔
538

539
  // Determine the local position of the midpoint and the ray origin
540
  // relative to the source region's centroid
541
  Position rm_local;
602,457,438✔
542
  Position r0_local;
602,457,438✔
543

544
  // In the first few iterations of the simulation, the source region
545
  // may not yet have had any ray crossings, in which case there will
546
  // be no estimate of its centroid. We detect this by checking if it has
547
  // any accumulated volume. If its volume is zero, just use the midpoint
548
  // of the ray as the region's centroid.
549
  if (srh.volume_t()) {
602,457,438✔
550
    rm_local = midpoint - centroid;
582,612,899✔
551
    r0_local = r - centroid;
582,612,899✔
552
  } else {
553
    rm_local = {0.0, 0.0, 0.0};
19,844,539✔
554
    r0_local = -u() * 0.5 * distance;
19,844,539✔
555
  }
556
  double distance_2 = distance * distance;
602,457,438✔
557

558
  // Linear Source MOC incoming flux attenuation + source
559
  // contribution/attenuation equation
560
  for (int g = 0; g < negroups_; g++) {
2,147,483,647✔
561

562
    // Compute tau, the optical thickness of the ray segment
563
    float sigma_t = domain_->sigma_t_[material * negroups_ + g];
2,129,833,530✔
564
    float tau = sigma_t * distance;
2,129,833,530✔
565

566
    // If tau is very small, set it to zero to avoid numerical issues.
567
    // The following computations will still work with tau = 0.
568
    if (tau < 1.0e-8f) {
2,129,833,530✔
569
      tau = 0.0f;
5,874✔
570
    }
571

572
    // Compute linear source terms, spatial and directional (dir),
573
    // calculated from the source gradients dot product with local centroid
574
    // and direction, respectively.
575
    float spatial_source =
576
      srh.source(g) + rm_local.dot(srh.source_gradients(g));
2,129,833,530✔
577
    float dir_source = u().dot(srh.source_gradients(g));
2,129,833,530✔
578

579
    float gn = exponentialG(tau);
2,129,833,530✔
580
    float f1 = 1.0f - tau * gn;
2,129,833,530✔
581
    float f2 = (2.0f * gn - f1) * distance_2;
2,129,833,530✔
582
    float new_delta_psi = (angular_flux_[g] - spatial_source) * f1 * distance -
2,129,833,530✔
583
                          0.5 * dir_source * f2;
2,129,833,530✔
584

585
    float h1 = f1 - gn;
2,129,833,530✔
586
    float g1 = 0.5f - h1;
2,129,833,530✔
587
    float g2 = exponentialG2(tau);
2,129,833,530✔
588
    g1 = g1 * spatial_source;
2,129,833,530✔
589
    g2 = g2 * dir_source * distance * 0.5f;
2,129,833,530✔
590
    h1 = h1 * angular_flux_[g];
2,129,833,530✔
591
    h1 = (g1 + g2 + h1) * distance_2;
2,129,833,530✔
592
    spatial_source = spatial_source * distance + new_delta_psi;
2,129,833,530✔
593

594
    // Store contributions for this group into arrays, so that they can
595
    // be accumulated into the source region's estimates inside of the locked
596
    // region.
597
    delta_psi_[g] = new_delta_psi;
2,129,833,530✔
598
    delta_moments_[g] = r0_local * spatial_source + u() * h1;
2,129,833,530✔
599

600
    // Update the angular flux for this group
601
    angular_flux_[g] -= new_delta_psi * sigma_t;
2,129,833,530✔
602

603
    // If 2D mode is enabled, the z-component of the flux moments is forced
604
    // to zero
605
    if (source_shape_ == RandomRaySourceShape::LINEAR_XY) {
2,129,833,530✔
606
      delta_moments_[g].z = 0.0;
462,208,043✔
607
    }
608
  }
609

610
  // Compute an estimate of the spatial moments matrix for the source
611
  // region based on parameters from this ray's crossing
612
  MomentMatrix moment_matrix_estimate;
613
  moment_matrix_estimate.compute_spatial_moments_matrix(
602,457,438✔
614
    rm_local, u(), distance);
602,457,438✔
615

616
  // Aquire lock for source region
617
  srh.lock();
602,457,438✔
618

619
  // If ray is in the active phase (not in dead zone), make contributions to
620
  // source region bookkeeping
621

622
  if (is_active) {
602,457,438✔
623
    // Accumulate deltas into the new estimate of source region flux for this
624
    // iteration
625
    for (int g = 0; g < negroups_; g++) {
2,147,483,647✔
626
      srh.scalar_flux_new(g) += delta_psi_[g];
1,713,818,480✔
627
      srh.flux_moments_new(g) += delta_moments_[g];
1,713,818,480✔
628
    }
629

630
    // Accumulate the volume (ray segment distance), centroid, and spatial
631
    // momement estimates into the running totals for the iteration for this
632
    // source region. The centroid and spatial momements estimates are scaled
633
    // by the ray segment length as part of length averaging of the estimates.
634
    srh.volume() += distance;
492,996,350✔
635
    srh.centroid_iteration() += midpoint * distance;
492,996,350✔
636
    moment_matrix_estimate *= distance;
492,996,350✔
637
    srh.mom_matrix() += moment_matrix_estimate;
492,996,350✔
638

639
    srh.n_hits() += 1;
492,996,350✔
640
  }
641

642
  // Tally valid position inside the source region (e.g., midpoint of
643
  // the ray) if not done already
644
  if (!srh.position_recorded()) {
602,457,438✔
645
    srh.position() = midpoint;
809,534✔
646
    srh.position_recorded() = 1;
809,534✔
647
  }
648

649
  // Release lock
650
  srh.unlock();
602,457,438✔
651
}
602,457,438✔
652

653
// If traveling through a void region, the source term is either zero
654
// or an external source. As all external sources are currently assumed
655
// to be flat, we don't really need this function and could instead just call
656
// the "attenuate_flux_flat_source_void" function and get the same numerical and
657
// tally results. However, computation of the flux moments in void regions is
658
// nonetheless useful as this information is still used by the plotter when
659
// estimating the flux at specific pixel coordinates. Thus, plots will look
660
// nicer/more accurate if we record flux moments, so this function is useful.
661
void RandomRay::attenuate_flux_linear_source_void(
8,287,235✔
662
  SourceRegionHandle& srh, double distance, bool is_active, Position r)
663
{
664
  // The number of geometric intersections is counted for reporting purposes
665
  n_event()++;
8,287,235✔
666

667
  Position& centroid = srh.centroid();
8,287,235✔
668
  Position midpoint = r + u() * (distance / 2.0);
8,287,235✔
669

670
  // Determine the local position of the midpoint and the ray origin
671
  // relative to the source region's centroid
672
  Position rm_local;
8,287,235✔
673
  Position r0_local;
8,287,235✔
674

675
  // In the first few iterations of the simulation, the source region
676
  // may not yet have had any ray crossings, in which case there will
677
  // be no estimate of its centroid. We detect this by checking if it has
678
  // any accumulated volume. If its volume is zero, just use the midpoint
679
  // of the ray as the region's centroid.
680
  if (srh.volume_t()) {
8,287,235✔
681
    rm_local = midpoint - centroid;
8,084,186✔
682
    r0_local = r - centroid;
8,084,186✔
683
  } else {
684
    rm_local = {0.0, 0.0, 0.0};
203,049✔
685
    r0_local = -u() * 0.5 * distance;
203,049✔
686
  }
687
  double distance_2 = distance * distance;
8,287,235✔
688

689
  // Compared to linear flux attenuation through solid regions,
690
  // transport through a void region is greatly simplified. Here we
691
  // compute the updated flux moments.
692
  for (int g = 0; g < negroups_; g++) {
16,574,470✔
693
    float spatial_source = 0.f;
8,287,235✔
694
    if (settings::run_mode == RunMode::FIXED_SOURCE) {
8,287,235✔
695
      spatial_source = srh.external_source(g);
8,287,235✔
696
    }
697
    float new_delta_psi = (angular_flux_[g] - spatial_source) * distance;
8,287,235✔
698
    float h1 = 0.5f;
8,287,235✔
699
    h1 = h1 * angular_flux_[g];
8,287,235✔
700
    h1 = h1 * distance_2;
8,287,235✔
701
    spatial_source = spatial_source * distance + new_delta_psi;
8,287,235✔
702

703
    // Store contributions for this group into arrays, so that they can
704
    // be accumulated into the source region's estimates inside of the locked
705
    // region.
706
    delta_moments_[g] = r0_local * spatial_source + u() * h1;
8,287,235✔
707

708
    // If 2D mode is enabled, the z-component of the flux moments is forced
709
    // to zero
710
    if (source_shape_ == RandomRaySourceShape::LINEAR_XY) {
8,287,235✔
711
      delta_moments_[g].z = 0.0;
×
712
    }
713
  }
714

715
  // If ray is in the active phase (not in dead zone), make contributions to
716
  // source region bookkeeping
717
  if (is_active) {
8,287,235✔
718
    // Compute an estimate of the spatial moments matrix for the source
719
    // region based on parameters from this ray's crossing
720
    MomentMatrix moment_matrix_estimate;
721
    moment_matrix_estimate.compute_spatial_moments_matrix(
6,892,402✔
722
      rm_local, u(), distance);
6,892,402✔
723

724
    // Aquire lock for source region
725
    srh.lock();
6,892,402✔
726

727
    // Accumulate delta psi into new estimate of source region flux for
728
    // this iteration, and update flux momements
729
    for (int g = 0; g < negroups_; g++) {
13,784,804✔
730
      srh.scalar_flux_new(g) += angular_flux_[g] * distance;
6,892,402✔
731
      srh.flux_moments_new(g) += delta_moments_[g];
6,892,402✔
732
    }
733

734
    // Accumulate the volume (ray segment distance), centroid, and spatial
735
    // momement estimates into the running totals for the iteration for this
736
    // source region. The centroid and spatial momements estimates are scaled by
737
    // the ray segment length as part of length averaging of the estimates.
738
    srh.volume() += distance;
6,892,402✔
739
    srh.volume_sq() += distance_2;
6,892,402✔
740
    srh.centroid_iteration() += midpoint * distance;
6,892,402✔
741
    moment_matrix_estimate *= distance;
6,892,402✔
742
    srh.mom_matrix() += moment_matrix_estimate;
6,892,402✔
743

744
    // Tally valid position inside the source region (e.g., midpoint of
745
    // the ray) if not done already
746
    if (!srh.position_recorded()) {
6,892,402✔
747
      srh.position() = midpoint;
11,000✔
748
      srh.position_recorded() = 1;
11,000✔
749
    }
750

751
    srh.n_hits() += 1;
6,892,402✔
752

753
    // Release lock
754
    srh.unlock();
6,892,402✔
755
  }
756

757
  // Add source to incoming angular flux, assuming void region
758
  if (settings::run_mode == RunMode::FIXED_SOURCE) {
8,287,235✔
759
    for (int g = 0; g < negroups_; g++) {
16,574,470✔
760
      angular_flux_[g] += srh.external_source(g) * distance;
8,287,235✔
761
    }
762
  }
763
}
8,287,235✔
764

765
void RandomRay::initialize_ray(uint64_t ray_id, FlatSourceDomain* domain)
1,856,800✔
766
{
767
  domain_ = domain;
1,856,800✔
768

769
  // Reset particle event counter
770
  n_event() = 0;
1,856,800✔
771

772
  is_active_ = (distance_inactive_ <= 0.0);
1,856,800✔
773

774
  wgt() = 1.0;
1,856,800✔
775

776
  // set identifier for particle
777
  id() = ray_id;
1,856,800✔
778

779
  // generate source site using sample method
780
  SourceSite site;
1,856,800✔
781
  switch (sample_method_) {
1,856,800✔
782
  case RandomRaySampleMethod::PRNG:
1,845,800✔
783
    site = sample_prng();
1,845,800✔
784
    break;
1,845,800✔
785
  case RandomRaySampleMethod::HALTON:
11,000✔
786
    site = sample_halton();
11,000✔
787
    break;
11,000✔
788
  default:
×
789
    fatal_error("Unknown sample method for random ray transport.");
×
790
  }
791

792
  site.E = 0.0;
1,856,800✔
793
  this->from_source(&site);
1,856,800✔
794

795
  // Locate ray
796
  if (lowest_coord().cell == C_NONE) {
1,856,800✔
797
    if (!exhaustive_find_cell(*this)) {
1,856,800✔
798
      this->mark_as_lost(
×
799
        "Could not find the cell containing particle " + std::to_string(id()));
×
800
    }
801

802
    // Set birth cell attribute
803
    if (cell_born() == C_NONE)
1,856,800✔
804
      cell_born() = lowest_coord().cell;
1,856,800✔
805
  }
806

807
  // Initialize ray's starting angular flux to starting location's isotropic
808
  // source
809
  int i_cell = lowest_coord().cell;
1,856,800✔
810
  int64_t sr = domain_->source_region_offsets_[i_cell] + cell_instance();
1,856,800✔
811

812
  SourceRegionHandle srh;
1,856,800✔
813
  if (mesh_subdivision_enabled_) {
1,856,800✔
814
    int mesh_idx = domain_->base_source_regions_.mesh(sr);
1,145,100✔
815
    int mesh_bin;
816
    if (mesh_idx == C_NONE) {
1,145,100✔
817
      mesh_bin = 0;
×
818
    } else {
819
      Mesh* mesh = model::meshes[mesh_idx].get();
1,145,100✔
820
      mesh_bin = mesh->get_bin(r());
1,145,100✔
821
    }
822
    srh =
823
      domain_->get_subdivided_source_region_handle(sr, mesh_bin, r(), 0.0, u());
1,145,100✔
824
  } else {
825
    srh = domain_->source_regions_.get_source_region_handle(sr);
711,700✔
826
  }
827

828
  if (!srh.is_numerical_fp_artifact_) {
1,856,800✔
829
    for (int g = 0; g < negroups_; g++) {
6,617,600✔
830
      angular_flux_[g] = srh.source(g);
4,760,800✔
831
    }
832
  }
833
}
1,856,800✔
834

835
SourceSite RandomRay::sample_prng()
1,845,800✔
836
{
837
  // set random number seed
838
  int64_t particle_seed =
839
    (simulation::current_batch - 1) * settings::n_particles + id();
1,845,800✔
840
  init_particle_seeds(particle_seed, seeds());
1,845,800✔
841
  stream() = STREAM_TRACKING;
1,845,800✔
842

843
  // Sample from ray source distribution
844
  SourceSite site {ray_source_->sample(current_seed())};
1,845,800✔
845

846
  return site;
1,845,800✔
847
}
848

849
SourceSite RandomRay::sample_halton()
11,000✔
850
{
851
  SourceSite site;
11,000✔
852

853
  // Set random number seed
854
  int64_t batch_seed = (simulation::current_batch - 1) * settings::n_particles;
11,000✔
855
  int64_t skip = id();
11,000✔
856
  init_particle_seeds(batch_seed, seeds());
11,000✔
857
  stream() = STREAM_TRACKING;
11,000✔
858

859
  // Calculate next samples in LDS across 5 dimensions
860
  vector<double> samples = rhalton(5, current_seed(), skip = skip);
11,000✔
861

862
  // Get spatial box of ray_source_
863
  SpatialBox* sb = dynamic_cast<SpatialBox*>(
11,000✔
864
    dynamic_cast<IndependentSource*>(RandomRay::ray_source_.get())->space());
11,000✔
865

866
  // Sample spatial distribution
867
  Position xi {samples[0], samples[1], samples[2]};
11,000✔
868
  // make a small shift in position to avoid geometry floating point issues
869
  Position shift {FP_COINCIDENT, FP_COINCIDENT, FP_COINCIDENT};
11,000✔
870
  site.r = (sb->lower_left() + shift) +
871
           xi * ((sb->upper_right() - shift) - (sb->lower_left() + shift));
11,000✔
872

873
  // Sample Polar cosine and azimuthal angles
874
  double mu = 2.0 * samples[3] - 1.0;
11,000✔
875
  double azi = 2.0 * PI * samples[4];
11,000✔
876
  // Convert to Cartesian coordinates
877
  double c = std::sqrt(1.0 - mu * mu);
11,000✔
878
  site.u.x = mu;
11,000✔
879
  site.u.y = std::cos(azi) * c;
11,000✔
880
  site.u.z = std::sin(azi) * c;
11,000✔
881

882
  return site;
22,000✔
883
}
11,000✔
884

885
} // namespace openmc
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