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Ifpack2_Details_Chebyshev_Weights.hpp
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43 
44 #ifndef IFPACK2_DETAILS_CHEBYSHEV_WEIGHTS_HPP
45 #define IFPACK2_DETAILS_CHEBYSHEV_WEIGHTS_HPP
46 
47 #include <stdexcept>
48 #include <vector>
49 #include "Teuchos_StandardParameterEntryValidators.hpp"
50 
58 
59 
60 namespace Ifpack2 {
61 namespace Details {
62 
73  template<typename ScalarType>
74  std::vector<ScalarType>
75  optimalWeightsImpl (const int chebyOrder)
76  {
77  if (chebyOrder == 0){
78  return {};
79  }
80  if (chebyOrder == 1){
81  return {
82  1.12500000000000,
83  };
84  }
85 
86  if (chebyOrder == 2){
87  return {
88  1.02387287570313,
89  1.26408905371085,
90  };
91  }
92 
93  if (chebyOrder == 3){
94  return {
95  1.00842544782028,
96  1.08867839208730,
97  1.33753125909618,
98  };
99  }
100 
101  if (chebyOrder == 4){
102  return {
103  1.00391310427285,
104  1.04035811188593,
105  1.14863498546254,
106  1.38268869241000,
107  };
108  }
109 
110  if (chebyOrder == 5){
111  return {
112  1.00212930146164,
113  1.02173711549260,
114  1.07872433192603,
115  1.19810065292663,
116  1.41322542791682,
117  };
118  }
119 
120  if (chebyOrder == 6){
121  return {
122  1.00128517255940,
123  1.01304293035233,
124  1.04678215124113,
125  1.11616489419675,
126  1.23829020218444,
127  1.43524297106744,
128  };
129  }
130 
131  if (chebyOrder == 7){
132  return {
133  1.00083464397912,
134  1.00843949430122,
135  1.03008707768713,
136  1.07408384092003,
137  1.15036186707366,
138  1.27116474046139,
139  1.45186658649364,
140  };
141  }
142 
143  if (chebyOrder == 8){
144  return {
145  1.00057246631197,
146  1.00577427662415,
147  1.02050187922941,
148  1.05019803444565,
149  1.10115572984941,
150  1.18086042806856,
151  1.29838585382576,
152  1.46486073151099,
153  };
154  }
155 
156  if (chebyOrder == 9){
157  return {
158  1.00040960072832,
159  1.00412439506106,
160  1.01460212148266,
161  1.03561113626671,
162  1.07139972529194,
163  1.12688273710962,
164  1.20785219140729,
165  1.32121930716746,
166  1.47529642820699,
167  };
168  }
169 
170  if (chebyOrder == 10){
171  return {
172  1.00030312229652,
173  1.00304840660796,
174  1.01077022715387,
175  1.02619011597640,
176  1.05231724933755,
177  1.09255743207549,
178  1.15083376663972,
179  1.23172250870894,
180  1.34060802024460,
181  1.48386124407011,
182  };
183  }
184 
185  if (chebyOrder == 11){
186  return {
187  1.00023058595209,
188  1.00231675024028,
189  1.00817245396304,
190  1.01982986566342,
191  1.03950210235324,
192  1.06965042700541,
193  1.11305754295742,
194  1.17290876275564,
195  1.25288300576792,
196  1.35725579919519,
197  1.49101672564139,
198  };
199  }
200 
201  if (chebyOrder == 12){
202  return {
203  1.00017947200828,
204  1.00180189139619,
205  1.00634861907307,
206  1.01537864566306,
207  1.03056942830760,
208  1.05376019693943,
209  1.08699862592072,
210  1.13259183097913,
211  1.19316273358172,
212  1.27171293675110,
213  1.37169337969799,
214  1.49708418575562,
215  };
216  }
217 
218  if (chebyOrder == 13){
219  return {
220  1.00014241921559,
221  1.00142906932629,
222  1.00503028986298,
223  1.01216910518495,
224  1.02414874342792,
225  1.04238158880820,
226  1.06842008128700,
227  1.10399010936759,
228  1.15102748242645,
229  1.21171811910125,
230  1.28854264865128,
231  1.38432619380991,
232  1.50229418757368,
233  };
234  }
235 
236  if (chebyOrder == 14){
237  return {
238  1.00011490538261,
239  1.00115246376914,
240  1.00405357333264,
241  1.00979590573153,
242  1.01941300472994,
243  1.03401425035436,
244  1.05480599606629,
245  1.08311420301813,
246  1.12040891660892,
247  1.16833095655446,
248  1.22872122288238,
249  1.30365305707817,
250  1.39546814053678,
251  1.50681646209583,
252  };
253  }
254 
255  if (chebyOrder == 15){
256  return {
257  1.00009404750752,
258  1.00094291696343,
259  1.00331449056444,
260  1.00800294833816,
261  1.01584236259140,
262  1.02772083317705,
263  1.04459535422831,
264  1.06750761206125,
265  1.09760092545889,
266  1.13613855366157,
267  1.18452361426236,
268  1.24432087304475,
269  1.31728069083392,
270  1.40536543893560,
271  1.51077872501845,
272  };
273  }
274 
275  if (chebyOrder == 16){
276  return {
277  1.00007794828179,
278  1.00078126847253,
279  1.00274487974401,
280  1.00662291017015,
281  1.01309858836971,
282  1.02289448329337,
283  1.03678321409983,
284  1.05559875719896,
285  1.08024848405560,
286  1.11172607131497,
287  1.15112543431072,
288  1.19965584614973,
289  1.25865841744946,
290  1.32962412656664,
291  1.41421360695576,
292  1.51427891730346,
293  };
294  }
295 
297  true, std::runtime_error, "Ifpack2::Details::optimalWeightsImpl::"
298  "Requested Chebyshev order exceeds maximum of 16."
299  );
300  }
301 
302 } // namespace Details
303 } // namespace Ifpack2
304 
305 #endif // IFPACK2_DETAILS_CHEBYSHEV_WEIGHTS_HPP
#define TEUCHOS_TEST_FOR_EXCEPTION(throw_exception_test, Exception, msg)