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| package org.sat4j.minisat.constraints.pb; |
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27 |
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28 |
| import java.math.BigInteger; |
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29 |
| import java.util.HashMap; |
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30 |
| import java.util.Map; |
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31 |
| import java.util.Random; |
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32 |
| |
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33 |
| import org.sat4j.core.Vec; |
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34 |
| import org.sat4j.minisat.constraints.cnf.Lits; |
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35 |
| import org.sat4j.minisat.core.Constr; |
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36 |
| import org.sat4j.minisat.core.ILits; |
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37 |
| import org.sat4j.minisat.core.Undoable; |
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38 |
| import org.sat4j.minisat.core.UnitPropagationListener; |
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39 |
| import org.sat4j.specs.ContradictionException; |
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40 |
| import org.sat4j.specs.IVec; |
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41 |
| import org.sat4j.specs.IVecInt; |
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42 |
| |
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43 |
| public abstract class WatchPb implements Constr, Undoable { |
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46 |
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48 |
| public static final boolean ATMOST = false; |
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| public static final boolean ATLEAST = true; |
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| private static final Random rand = new Random(91648253); |
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60 |
| protected double activity; |
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| protected BigInteger[] coefs; |
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| protected BigInteger degree; |
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| protected int[] lits; |
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| protected boolean learnt = false; |
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85 |
| protected boolean locked; |
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90 |
| protected boolean moreThan; |
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94 |
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| protected BigInteger watchCumul = BigInteger.ZERO; |
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| protected IVecInt undos; |
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102 |
| protected int backtrackLiteral; |
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110 |
| protected ILits voc; |
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113 |
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114 |
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115 |
0
| WatchPb() {
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116 |
| } |
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117 |
| |
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118 |
1621870
| WatchPb(IVecInt ps, IVec<BigInteger> bigCoefs, boolean moreThan,
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119 |
| BigInteger bigDeg) { |
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120 |
| assert ps.size() > 0; |
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121 |
| assert ps.size() == bigCoefs.size(); |
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122 |
1621870
| this.moreThan = moreThan;
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123 |
| |
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124 |
1621870
| MapPb mpb = new MapPb();
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125 |
1621870
| lits = new int[ps.size()];
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126 |
1621870
| ps.copyTo(lits);
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127 |
1621870
| BigInteger[] bc = new BigInteger[bigCoefs.size()];
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128 |
1621870
| bigCoefs.copyTo(bc);
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129 |
1621870
| BigInteger bigDegree = bigDeg;
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130 |
1621870
| if (!moreThan) {
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131 |
8067
| for (int i = 0; i < lits.length; i++) {
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132 |
73586
| bc[i] = bc[i].negate();
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133 |
| } |
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134 |
8067
| bigDegree = bigDegree.negate();
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135 |
| } |
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136 |
1621870
| for (int i = 0; i < bc.length; i++)
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137 |
9064750
| if (bc[i].signum() < 0) {
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138 |
3437594
| lits[i] = lits[i] ^ 1;
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139 |
3437594
| bc[i] = bc[i].negate();
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140 |
3437594
| bigDegree = bigDegree.add(bc[i]);
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141 |
| } |
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142 |
1621870
| if (bigDegree.signum() > 0)
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143 |
1621870
| bigDegree = mpb.addCoeffNewConstraint(lits, bc, bigDegree);
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144 |
1621870
| if (bigDegree.signum() > 0)
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145 |
1621870
| bigDegree = mpb.saturation();
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146 |
1621870
| int size = mpb.size();
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147 |
1621870
| lits = new int[size];
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148 |
1621870
| this.coefs = new BigInteger[size];
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149 |
1621870
| mpb.buildConstraintFromMapPb(lits, coefs);
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150 |
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151 |
1621870
| this.degree = bigDegree;
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152 |
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153 |
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154 |
1621870
| sort();
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155 |
| } |
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162 |
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163 |
208878
| public boolean isAssertive(int dl) {
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164 |
208878
| BigInteger slack = BigInteger.ZERO;
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165 |
208878
| for (int i = 0; i < lits.length; i++) {
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166 |
8607010
| if ((coefs[i].signum() > 0)
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167 |
| && ((!voc.isFalsified(lits[i]) || voc.getLevel(lits[i]) >= dl))) |
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168 |
3599352
| slack = slack.add(coefs[i]);
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169 |
| } |
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170 |
208878
| slack = slack.subtract(degree);
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171 |
208878
| if (slack.signum() < 0)
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172 |
0
| return false;
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173 |
208878
| for (int i = 0; i < lits.length; i++) {
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174 |
6719811
| if ((coefs[i].signum() > 0)
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175 |
| && (voc.isUnassigned(lits[i]) || voc.getLevel(lits[i]) >= dl) |
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176 |
| && (slack.subtract(coefs[i]).signum() < 0)) { |
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177 |
64904
| return true;
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178 |
| } |
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179 |
| } |
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180 |
143974
| return false;
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181 |
| } |
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192 |
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193 |
151001862
| public void calcReason(int p, IVecInt outReason) {
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194 |
151001862
| for (int q : lits) {
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195 |
| if (voc.isFalsified(q)) { |
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196 |
649628553
| outReason.push(q ^ 1);
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197 |
| } |
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198 |
| } |
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199 |
| } |
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200 |
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201 |
| abstract protected void computeWatches() throws ContradictionException; |
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202 |
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203 |
| abstract protected void computePropagation(UnitPropagationListener s) |
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204 |
| throws ContradictionException; |
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205 |
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213 |
2021390
| public int get(int i) {
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214 |
2021390
| return lits[i];
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215 |
| } |
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223 |
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224 |
0
| public BigInteger getCoef(int i) {
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225 |
0
| return coefs[i];
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226 |
| } |
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229 |
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231 |
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232 |
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233 |
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234 |
| public double getActivity() { |
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235 |
| return activity; |
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236 |
| } |
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237 |
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238 |
1559408
| protected static void niceParameter(IVecInt lits, IVec<BigInteger> coefs)
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239 |
| throws ContradictionException { |
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240 |
| |
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241 |
1559408
| if (lits.size() == 0) {
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242 |
0
| throw new ContradictionException("Creating Empty clause ?");
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243 |
1559408
| } else if (lits.size() != coefs.size()) {
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244 |
0
| throw new IllegalArgumentException(
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245 |
| "Contradiction dans la taille des tableaux ps=" |
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246 |
| + lits.size() + " coefs=" + coefs.size() + "."); |
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247 |
| } |
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248 |
| } |
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249 |
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251 |
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252 |
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253 |
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254 |
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255 |
0
| public void incActivity(double claInc) {
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256 |
0
| activity += claInc;
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257 |
| } |
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258 |
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259 |
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260 |
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261 |
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262 |
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263 |
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264 |
62462
| public BigInteger slackConstraint() {
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265 |
62462
| return recalcLeftSide().subtract(this.degree);
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266 |
| } |
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267 |
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273 |
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275 |
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276 |
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277 |
708558
| public BigInteger slackConstraint(BigInteger[] coefs, BigInteger degree) {
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278 |
708558
| return recalcLeftSide(coefs).subtract(degree);
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279 |
| } |
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280 |
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284 |
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285 |
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286 |
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287 |
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288 |
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289 |
701666396
| public BigInteger recalcLeftSide(BigInteger[] coefs) {
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290 |
701666396
| BigInteger poss = BigInteger.ZERO;
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291 |
| |
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292 |
701666396
| for (int i = 0; i < coefs.length; i++)
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293 |
1673415731
| if ((coefs[i].signum() > 0) && (!voc.isFalsified(lits[i])))
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294 |
| poss = poss.add(coefs[i]); |
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295 |
701666396
| return poss;
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296 |
| } |
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297 |
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298 |
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299 |
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300 |
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301 |
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302 |
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303 |
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304 |
700957838
| public BigInteger recalcLeftSide() {
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305 |
700957838
| return recalcLeftSide(this.coefs);
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306 |
| } |
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307 |
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308 |
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309 |
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310 |
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311 |
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312 |
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313 |
10384383
| protected boolean isSatisfiable() {
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314 |
10384383
| BigInteger sum = BigInteger.ZERO;
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315 |
10384383
| for (int i = 0; i < lits.length; i++) {
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316 |
120400914
| if (!voc.isFalsified(lits[i])) {
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317 |
| assert coefs[i].signum() > 0; |
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318 |
71629821
| sum = sum.add(coefs[i]);
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319 |
| } |
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320 |
| } |
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321 |
10384383
| return sum.compareTo(degree) >= 0;
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322 |
| } |
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323 |
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324 |
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326 |
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327 |
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328 |
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329 |
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330 |
151001862
| public boolean learnt() {
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331 |
151001862
| return learnt;
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332 |
| } |
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333 |
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334 |
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335 |
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336 |
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337 |
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338 |
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339 |
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340 |
115378617
| public boolean locked() {
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341 |
115378617
| return true;
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342 |
| } |
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343 |
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344 |
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345 |
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346 |
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347 |
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348 |
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349 |
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350 |
0
| protected void normalize() {
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351 |
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352 |
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353 |
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354 |
0
| if (!moreThan) {
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355 |
0
| for (int i = 0; i < lits.length; i++) {
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356 |
0
| coefs[i] = coefs[i].negate();
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357 |
| } |
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358 |
0
| degree = degree.negate();
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359 |
0
| moreThan = true;
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360 |
| } |
|
361 |
| assert moreThan == true; |
|
362 |
| |
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363 |
| |
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364 |
0
| for (int indLit = 0; indLit < this.lits.length; indLit++) {
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365 |
0
| if (coefs[indLit].signum() < 0) {
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366 |
0
| lits[indLit] = lits[indLit] ^ 1;
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367 |
0
| coefs[indLit] = coefs[indLit].negate();
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368 |
0
| degree = degree.add(coefs[indLit]);
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|
369 |
| } |
|
370 |
| assert coefs[indLit].signum() >= 0; |
|
371 |
| } |
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372 |
| |
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373 |
0
| sort();
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374 |
| |
|
375 |
| |
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376 |
0
| int indLit = 0;
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377 |
0
| while (coefs.length > indLit && coefs[indLit].compareTo(degree) > 0) {
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378 |
0
| coefs[indLit++] = degree;
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379 |
| } |
|
380 |
| |
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381 |
| |
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382 |
0
| if (indLit == coefs.length && degree.signum() > 0) {
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383 |
0
| degree = BigInteger.ONE;
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|
384 |
0
| for (int i = 0; i < coefs.length; i++)
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385 |
0
| coefs[i] = degree;
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|
386 |
| } |
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387 |
| |
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388 |
| |
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389 |
| } |
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390 |
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391 |
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392 |
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393 |
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394 |
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395 |
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396 |
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397 |
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398 |
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399 |
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400 |
0
| protected static BigInteger ppcm(BigInteger a, BigInteger b) {
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401 |
0
| return a.divide(a.gcd(b)).multiply(b);
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402 |
| } |
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403 |
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404 |
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405 |
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406 |
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407 |
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408 |
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409 |
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410 |
0
| public void rescaleBy(double d) {
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411 |
0
| activity *= d;
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412 |
| } |
|
413 |
| |
|
414 |
1848884
| void selectionSort(int from, int to) {
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415 |
1848884
| int i, j, best_i;
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|
416 |
1848884
| BigInteger tmp;
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|
417 |
1848884
| int tmp2;
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|
418 |
| |
|
419 |
1848884
| for (i = from; i < to - 1; i++) {
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420 |
7215889
| best_i = i;
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421 |
7215889
| for (j = i + 1; j < to; j++) {
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422 |
30638453
| if (coefs[j].compareTo(coefs[best_i]) > 0)
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423 |
483981
| best_i = j;
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|
424 |
| } |
|
425 |
7215889
| tmp = coefs[i];
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|
426 |
7215889
| coefs[i] = coefs[best_i];
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|
427 |
7215889
| coefs[best_i] = tmp;
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428 |
7215889
| tmp2 = lits[i];
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|
429 |
7215889
| lits[i] = lits[best_i];
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|
430 |
7215889
| lits[best_i] = tmp2;
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|
431 |
| } |
|
432 |
| } |
|
433 |
| |
|
434 |
| |
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435 |
| |
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436 |
| |
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437 |
124748
| public void setLearnt() {
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438 |
124748
| learnt = true;
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|
439 |
| } |
|
440 |
| |
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441 |
| |
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442 |
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443 |
| |
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444 |
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445 |
| |
|
446 |
4188534
| public boolean simplify() {
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|
447 |
4188534
| BigInteger cumul = BigInteger.ZERO;
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|
448 |
| |
|
449 |
4188534
| int i = 0;
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|
450 |
4188534
| while (i < lits.length && cumul.compareTo(degree) < 0) {
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451 |
26220961
| if (voc.isSatisfied(lits[i])) {
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|
452 |
| |
|
453 |
71962
| cumul = cumul.add(coefs[i]);
|
|
454 |
| } |
|
455 |
26220961
| i++;
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|
456 |
| } |
|
457 |
| |
|
458 |
4188534
| return (cumul.compareTo(degree) >= 0);
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|
459 |
| } |
|
460 |
| |
|
461 |
176188993
| public int size() {
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|
462 |
176188993
| return lits.length;
|
|
463 |
| } |
|
464 |
| |
|
465 |
| |
|
466 |
| |
|
467 |
| |
|
468 |
1621870
| protected void sort() {
|
|
469 |
| assert this.lits != null; |
|
470 |
1621870
| if (size() > 0) {
|
|
471 |
1621870
| this.sort(0, size());
|
|
472 |
1621870
| BigInteger buffInt = coefs[0];
|
|
473 |
1621870
| for (int i = 1; i < size(); i++) {
|
|
474 |
| assert buffInt.compareTo(coefs[i]) >= 0; |
|
475 |
7442880
| buffInt = coefs[i];
|
|
476 |
| } |
|
477 |
| |
|
478 |
| } |
|
479 |
| } |
|
480 |
| |
|
481 |
| |
|
482 |
| |
|
483 |
| |
|
484 |
| |
|
485 |
| |
|
486 |
| |
|
487 |
| |
|
488 |
| |
|
489 |
2075898
| protected void sort(int from, int to) {
|
|
490 |
2075898
| int width = to - from;
|
|
491 |
2075898
| if (to - from <= 15)
|
|
492 |
1848884
| selectionSort(from, to);
|
|
493 |
| |
|
494 |
| else { |
|
495 |
227014
| BigInteger pivot = coefs[rand.nextInt(width) + from];
|
|
496 |
227014
| BigInteger tmp;
|
|
497 |
227014
| int i = from - 1;
|
|
498 |
227014
| int j = to;
|
|
499 |
227014
| int tmp2;
|
|
500 |
| |
|
501 |
227014
| for (;;) {
|
|
502 |
3238008
| do
|
|
503 |
3578425
| i++;
|
|
504 |
3578425
| while (coefs[i].compareTo(pivot) > 0);
|
|
505 |
3238008
| do
|
|
506 |
3595759
| j--;
|
|
507 |
3595759
| while (pivot.compareTo(coefs[j]) > 0);
|
|
508 |
| |
|
509 |
3238008
| if (i >= j)
|
|
510 |
227014
| break;
|
|
511 |
| |
|
512 |
3010994
| tmp = coefs[i];
|
|
513 |
3010994
| coefs[i] = coefs[j];
|
|
514 |
3010994
| coefs[j] = tmp;
|
|
515 |
3010994
| tmp2 = lits[i];
|
|
516 |
3010994
| lits[i] = lits[j];
|
|
517 |
3010994
| lits[j] = tmp2;
|
|
518 |
| } |
|
519 |
| |
|
520 |
227014
| sort(from, i);
|
|
521 |
227014
| sort(i, to);
|
|
522 |
| } |
|
523 |
| |
|
524 |
| } |
|
525 |
| |
|
526 |
| |
|
527 |
| |
|
528 |
| |
|
529 |
| |
|
530 |
| |
|
531 |
0
| @Override
|
|
532 |
| public String toString() { |
|
533 |
0
| StringBuffer stb = new StringBuffer();
|
|
534 |
| |
|
535 |
0
| if (lits.length > 0) {
|
|
536 |
| |
|
537 |
0
| stb.append(this.coefs[0]);
|
|
538 |
0
| stb.append(".");
|
|
539 |
0
| stb.append(Lits.toString(this.lits[0]));
|
|
540 |
0
| stb.append("[");
|
|
541 |
0
| stb.append(voc.valueToString(lits[0]));
|
|
542 |
0
| stb.append("@");
|
|
543 |
0
| stb.append(voc.getLevel(lits[0]));
|
|
544 |
0
| stb.append("]");
|
|
545 |
0
| stb.append(" ");
|
|
546 |
| |
|
547 |
0
| for (int i = 1; i < lits.length; i++) {
|
|
548 |
| |
|
549 |
0
| stb.append(" + ");
|
|
550 |
0
| stb.append(this.coefs[i]);
|
|
551 |
0
| stb.append(".");
|
|
552 |
0
| stb.append(Lits.toString(this.lits[i]));
|
|
553 |
0
| stb.append("[");
|
|
554 |
0
| stb.append(voc.valueToString(lits[i]));
|
|
555 |
0
| stb.append("@");
|
|
556 |
0
| stb.append(voc.getLevel(lits[i]));
|
|
557 |
0
| stb.append("]");
|
|
558 |
0
| stb.append(" ");
|
|
559 |
| |
|
560 |
| } |
|
561 |
0
| stb.append((this.moreThan) ? ">= " : "<= ");
|
|
562 |
0
| stb.append(this.degree);
|
|
563 |
| } |
|
564 |
0
| return stb.toString();
|
|
565 |
| } |
|
566 |
| |
|
567 |
| |
|
568 |
| |
|
569 |
| |
|
570 |
| |
|
571 |
| |
|
572 |
| |
|
573 |
| |
|
574 |
| |
|
575 |
62462
| public int getBacktrackLevel(int maxLevel) {
|
|
576 |
62462
| int litLevel;
|
|
577 |
62462
| int borneMax = maxLevel;
|
|
578 |
| |
|
579 |
| |
|
580 |
| assert isAssertive(borneMax); |
|
581 |
62462
| int borneMin = -1;
|
|
582 |
| |
|
583 |
| |
|
584 |
62462
| for (int i = 0; i < lits.length; i++) {
|
|
585 |
1959104
| litLevel = voc.getLevel(lits[i]);
|
|
586 |
1959104
| if (litLevel < borneMax && litLevel > borneMin)
|
|
587 |
146416
| if (isAssertive(litLevel))
|
|
588 |
2442
| borneMax = litLevel;
|
|
589 |
| else |
|
590 |
143974
| borneMin = litLevel;
|
|
591 |
| } |
|
592 |
| |
|
593 |
| |
|
594 |
62462
| int retour = 0;
|
|
595 |
62462
| for (int i = 0; i < lits.length; i++) {
|
|
596 |
1959104
| litLevel = voc.getLevel(lits[i]);
|
|
597 |
1959104
| if (litLevel > retour && litLevel < borneMax)
|
|
598 |
141726
| retour = litLevel;
|
|
599 |
| } |
|
600 |
62462
| return retour;
|
|
601 |
| } |
|
602 |
| |
|
603 |
62462
| public void assertConstraint(UnitPropagationListener s) {
|
|
604 |
62462
| BigInteger tmp = slackConstraint();
|
|
605 |
62462
| for (int i = 0; i < lits.length; i++) {
|
|
606 |
1959104
| if (voc.isUnassigned(lits[i])
|
|
607 |
| && tmp.subtract(coefs[i]).signum() < 0) { |
|
608 |
72782
| boolean ret = s.enqueue(lits[i], this);
|
|
609 |
| assert ret; |
|
610 |
| } |
|
611 |
| } |
|
612 |
| } |
|
613 |
| |
|
614 |
| |
|
615 |
| |
|
616 |
| |
|
617 |
| |
|
618 |
| |
|
619 |
580023
| public BigInteger getDegree() {
|
|
620 |
580023
| return degree;
|
|
621 |
| } |
|
622 |
| |
|
623 |
62286
| public void register() {
|
|
624 |
| assert learnt; |
|
625 |
62286
| try {
|
|
626 |
62286
| computeWatches();
|
|
627 |
| } catch (ContradictionException e) { |
|
628 |
0
| System.out.println(this);
|
|
629 |
| assert false; |
|
630 |
| } |
|
631 |
| } |
|
632 |
| |
|
633 |
998672
| protected static IVec<BigInteger> toVecBigInt(IVecInt vec) {
|
|
634 |
998672
| IVec<BigInteger> bigVec = new Vec<BigInteger>(vec.size());
|
|
635 |
998672
| for (int i = 0; i < vec.size(); ++i)
|
|
636 |
3073048
| bigVec.push(BigInteger.valueOf(vec.get(i)));
|
|
637 |
998672
| return bigVec;
|
|
638 |
| } |
|
639 |
| |
|
640 |
998672
| protected static BigInteger toBigInt(int i) {
|
|
641 |
998672
| return BigInteger.valueOf(i);
|
|
642 |
| } |
|
643 |
| |
|
644 |
62490
| protected Conflict createConflict() {
|
|
645 |
62490
| Map<Integer, BigInteger> m = new HashMap<Integer, BigInteger>();
|
|
646 |
62490
| for (int i = 0; i < lits.length; i++) {
|
|
647 |
| assert lits[i] != 0; |
|
648 |
| assert coefs[i].signum() > 0; |
|
649 |
810098
| m.put(lits[i], coefs[i]);
|
|
650 |
| } |
|
651 |
62490
| return new Conflict(m, degree, voc);
|
|
652 |
| } |
|
653 |
| |
|
654 |
580022
| protected BigInteger[] getCoefs() {
|
|
655 |
580022
| BigInteger[] coefsBis = new BigInteger[coefs.length];
|
|
656 |
580022
| System.arraycopy(coefs, 0, coefsBis, 0, coefs.length);
|
|
657 |
580022
| return coefsBis;
|
|
658 |
| } |
|
659 |
| |
|
660 |
580022
| protected int[] getLits() {
|
|
661 |
580022
| int[] litsBis = new int[lits.length];
|
|
662 |
580022
| System.arraycopy(lits, 0, litsBis, 0, lits.length);
|
|
663 |
580022
| return litsBis;
|
|
664 |
| } |
|
665 |
| |
|
666 |
| } |