n2p2 - A neural network potential package
SymFncExpRadWeighted.cpp
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1// n2p2 - A neural network potential package
2// Copyright (C) 2018 Andreas Singraber (University of Vienna)
3//
4// This program is free software: you can redistribute it and/or modify
5// it under the terms of the GNU General Public License as published by
6// the Free Software Foundation, either version 3 of the License, or
7// (at your option) any later version.
8//
9// This program is distributed in the hope that it will be useful,
10// but WITHOUT ANY WARRANTY; without even the implied warranty of
11// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
12// GNU General Public License for more details.
13//
14// You should have received a copy of the GNU General Public License
15// along with this program. If not, see <https://www.gnu.org/licenses/>.
16
18#include "Atom.h"
19#include "ElementMap.h"
20#include "utility.h"
21#include "Vec3D.h"
22#include <cstdlib> // atof, atoi
23#include <cmath> // exp
24#include <stdexcept> // std::runtime_error
25
26using namespace std;
27using namespace nnp;
28
29SymFncExpRadWeighted::SymFncExpRadWeighted(ElementMap const& elementMap) :
30 SymFncBaseCutoff(12, elementMap),
31 eta (0.0),
32 rs (0.0)
33{
34 minNeighbors = 1;
35 parameters.insert("eta");
36 parameters.insert("rs/rl");
37}
38
40{
41 if (ec != rhs.getEc() ) return false;
42 if (type != rhs.getType()) return false;
43 SymFncExpRadWeighted const& c =
44 dynamic_cast<SymFncExpRadWeighted const&>(rhs);
45 if (cutoffType != c.cutoffType ) return false;
46 if (cutoffAlpha != c.cutoffAlpha) return false;
47 if (rc != c.rc ) return false;
48 if (eta != c.eta ) return false;
49 if (rs != c.rs ) return false;
50 return true;
51}
52
54{
55 if (ec < rhs.getEc() ) return true;
56 else if (ec > rhs.getEc() ) return false;
57 if (type < rhs.getType()) return true;
58 else if (type > rhs.getType()) return false;
59 SymFncExpRadWeighted const& c =
60 dynamic_cast<SymFncExpRadWeighted const&>(rhs);
61 if (cutoffType < c.cutoffType ) return true;
62 else if (cutoffType > c.cutoffType ) return false;
63 if (cutoffAlpha < c.cutoffAlpha) return true;
64 else if (cutoffAlpha > c.cutoffAlpha) return false;
65 if (rc < c.rc ) return true;
66 else if (rc > c.rc ) return false;
67 if (eta < c.eta ) return true;
68 else if (eta > c.eta ) return false;
69 if (rs < c.rs ) return true;
70 else if (rs > c.rs ) return false;
71 return false;
72}
73
74void SymFncExpRadWeighted::setParameters(string const& parameterString)
75{
76 vector<string> splitLine = split(reduce(parameterString));
77
78 if (type != (size_t)atoi(splitLine.at(1).c_str()))
79 {
80 throw runtime_error("ERROR: Incorrect symmetry function type.\n");
81 }
82
83 ec = elementMap[splitLine.at(0)];
84 eta = atof(splitLine.at(2).c_str());
85 rs = atof(splitLine.at(3).c_str());
86 rc = atof(splitLine.at(4).c_str());
87
90
91 return;
92}
93
95{
96 this->convLength = convLength;
98 rs *= convLength;
99 rc *= convLength;
100
103
104 return;
105}
106
108{
109 string s = strpr("symfunction_short %2s %2zu %16.8E %16.8E %16.8E\n",
110 elementMap[ec].c_str(),
111 type,
113 rs / convLength,
114 rc / convLength);
115
116 return s;
117}
118
119void SymFncExpRadWeighted::calculate(Atom& atom, bool const derivatives) const
120{
121 double result = 0.0;
122
123 for (size_t j = 0; j < atom.numNeighbors; ++j)
124 {
125 Atom::Neighbor& n = atom.neighbors[j];
126 if (n.d < rc)
127 {
128 // Energy calculation.
129 size_t const ne = n.element;
130 double const rij = n.d;
131 double const pexp = elementMap.atomicNumber(n.element)
132 * exp(-eta * (rij - rs) * (rij - rs));
133
134 // Calculate cutoff function and derivative.
135 double pfc;
136 double pdfc;
137#ifndef N2P2_NO_SF_CACHE
138 if (cacheIndices[ne].size() == 0) fc.fdf(rij, pfc, pdfc);
139 else
140 {
141 double& cfc = n.cache[cacheIndices[ne][0]];
142 double& cdfc = n.cache[cacheIndices[ne][1]];
143 if (cfc < 0) fc.fdf(rij, cfc, cdfc);
144 pfc = cfc;
145 pdfc = cdfc;
146 }
147#else
148 fc.fdf(rij, pfc, pdfc);
149#endif
150 result += pexp * pfc;
151 // Force calculation.
152 if (!derivatives) continue;
153 double const p1 = scalingFactor
154 * (pdfc - 2.0 * eta * (rij - rs)
155 * pfc) * pexp / rij;
156 Vec3D dij = p1 * n.dr;
157 // Save force contributions in Atom storage.
158 atom.dGdr[index] += dij;
159#ifndef N2P2_FULL_SFD_MEMORY
160 n.dGdr[indexPerElement[ne]] -= dij;
161#else
162 n.dGdr[index] -= dij;
163#endif
164 }
165 }
166
167 atom.G[index] = scale(result);
168
169 return;
170}
171
173{
174 return strpr(getPrintFormat().c_str(),
175 index + 1,
176 elementMap[ec].c_str(),
177 type,
178 subtype.c_str(),
180 rs / convLength,
181 rc / convLength,
183 lineNumber + 1);
184}
185
187{
188 vector<string> v = SymFncBaseCutoff::parameterInfo();
189 string s;
190 size_t w = sfinfoWidth;
191
192 s = "eta";
193 v.push_back(strpr((pad(s, w) + "%14.8E").c_str(),
195 s = "rs";
196 v.push_back(strpr((pad(s, w) + "%14.8E").c_str(), rs / convLength));
197
198 return v;
199}
200
201double SymFncExpRadWeighted::calculateRadialPart(double distance) const
202{
203 double const& r = distance * convLength;
204
205 return exp(-eta * (r - rs) * (r - rs)) * fc.f(r);
206}
207
208double SymFncExpRadWeighted::calculateAngularPart(double /* angle */) const
209{
210 return 1.0;
211}
212
214{
215 return true;
216}
217
218#ifndef N2P2_NO_SF_CACHE
220{
221 vector<string> v;
222 string s("");
223
224 s += subtype;
225 s += " ";
226 s += strpr("alpha = %16.8E", cutoffAlpha);
227 s += " ";
228 s += strpr("rc = %16.8E", rc / convLength);
229
230 for (size_t i = 0; i < elementMap.size(); ++i)
231 {
232 v.push_back(strpr("%zu f ", i) + s);
233 v.push_back(strpr("%zu df ", i) + s);
234 }
235
236 return v;
237}
238#endif
double f(double r) const
Cutoff function .
void fdf(double r, double &fc, double &dfc) const
Calculate cutoff function and derivative .
void setCutoffParameter(double const alpha)
Set parameter for polynomial cutoff function (CT_POLY).
void setCutoffRadius(double const cutoffRadius)
Set cutoff radius.
Contains element map.
Definition: ElementMap.h:30
std::size_t size() const
Get element map size.
Definition: ElementMap.h:140
std::size_t atomicNumber(std::size_t index) const
Get atomic number from element index.
Definition: ElementMap.h:145
Intermediate class for SFs based on cutoff functions.
std::string subtype
Subtype string (specifies cutoff type).
CutoffFunction fc
Cutoff function used by this symmetry function.
CutoffFunction::CutoffType cutoffType
Cutoff type used by this symmetry function.
virtual std::vector< std::string > parameterInfo() const
Get description with parameter names and values.
double cutoffAlpha
Cutoff parameter .
Weighted radial symmetry function (type 12)
virtual std::vector< std::string > parameterInfo() const
Get description with parameter names and values.
double rs
Shift of gaussian.
virtual void setParameters(std::string const &parameterString)
Set symmetry function parameters.
virtual std::string getSettingsLine() const
Get settings file line from currently set parameters.
virtual std::vector< std::string > getCacheIdentifiers() const
Get unique cache identifiers.
virtual double calculateRadialPart(double distance) const
Calculate (partial) symmetry function value for one given distance.
virtual bool operator<(SymFnc const &rhs) const
Overload < operator.
virtual std::string parameterLine() const
Give symmetry function parameters in one line.
double eta
Width of gaussian.
virtual void calculate(Atom &atom, bool const derivatives) const
Calculate symmetry function for one atom.
virtual bool operator==(SymFnc const &rhs) const
Overload == operator.
virtual void changeLengthUnit(double convLength)
Change length unit.
virtual double calculateAngularPart(double angle) const
Calculate (partial) symmetry function value for one given angle.
virtual bool checkRelevantElement(std::size_t index) const
Check whether symmetry function is relevant for given element.
Symmetry function base class.
Definition: SymFnc.h:40
double convLength
Data set normalization length conversion factor.
Definition: SymFnc.h:296
std::size_t type
Symmetry function type.
Definition: SymFnc.h:268
std::set< std::string > parameters
Set with symmetry function parameter IDs (lookup for printing).
Definition: SymFnc.h:300
std::size_t index
Symmetry function index (per element).
Definition: SymFnc.h:272
double scalingFactor
Scaling factor.
Definition: SymFnc.h:294
std::size_t getType() const
Get private type member variable.
Definition: SymFnc.h:355
double rc
Cutoff radius .
Definition: SymFnc.h:292
std::vector< std::vector< std::size_t > > cacheIndices
Cache indices for each element.
Definition: SymFnc.h:306
ElementMap elementMap
Copy of element map.
Definition: SymFnc.h:270
double scale(double value) const
Apply symmetry function scaling and/or centering.
Definition: SymFnc.cpp:169
std::size_t getEc() const
Get private ec member variable.
Definition: SymFnc.h:356
std::vector< std::size_t > indexPerElement
Per-element index for derivative memory in Atom::Neighbor::dGdr arrays.
Definition: SymFnc.h:302
std::size_t ec
Element index of center atom.
Definition: SymFnc.h:276
static std::size_t const sfinfoWidth
Width of the SFINFO parameter description field (see parameterInfo()).
Definition: SymFnc.h:309
std::size_t minNeighbors
Minimum number of neighbors required.
Definition: SymFnc.h:278
std::size_t lineNumber
Line number.
Definition: SymFnc.h:274
std::string getPrintFormat() const
Generate format string for symmetry function parameter printing.
Definition: SymFnc.cpp:285
Definition: Atom.h:28
string pad(string const &input, size_t num, char fill, bool right)
Definition: utility.cpp:79
string strpr(const char *format,...)
String version of printf function.
Definition: utility.cpp:90
vector< string > split(string const &input, char delimiter)
Split string at each delimiter.
Definition: utility.cpp:33
string reduce(string const &line, string const &whitespace, string const &fill)
Replace multiple whitespaces with fill.
Definition: utility.cpp:60
Struct to store information on neighbor atoms.
Definition: Atom.h:35
std::vector< double > cache
Symmetry function cache (e.g. for cutoffs, compact functions).
Definition: Atom.h:48
std::size_t element
Element index of neighbor atom.
Definition: Atom.h:41
double d
Distance to neighbor atom.
Definition: Atom.h:43
Vec3D dr
Distance vector to neighbor atom.
Definition: Atom.h:45
std::vector< Vec3D > dGdr
Derivatives of symmetry functions with respect to neighbor coordinates.
Definition: Atom.h:59
Storage for a single atom.
Definition: Atom.h:32
std::vector< Neighbor > neighbors
Neighbor array (maximum number defined in macros.h.
Definition: Atom.h:148
std::vector< Vec3D > dGdr
Derivative of symmetry functions with respect to this atom's coordinates.
Definition: Atom.h:146
std::vector< double > G
Symmetry function values.
Definition: Atom.h:134
std::size_t numNeighbors
Total number of neighbors.
Definition: Atom.h:106
Vector in 3 dimensional real space.
Definition: Vec3D.h:29