//public static OOverlapWeighted OverlapWeightedByFreq(IList<Mode> modes1, IList<Mode> modes2, ILinAlg ila, bool bResetUnitVector, string optSelectOverlap) //{ // Vector weights = new double[modes1.Count]; // for(int i=0; i<weights.Size; i++) // weights[i] = 1/Math.Sqrt(Math.Abs(modes1[i].eigval)); // weights /= weights.Sum(); // // return OverlapWeighted(modes1, modes2, weights.ToArray(), ila, bResetUnitVector, optSelectOverlap); //} public static OOverlapWeighted OverlapWeighted(IList <Mode> modes1, double[] mass1, double[] mass2, IList <Mode> modes2, IList <double> weights, ILinAlg ila, bool bResetUnitVector, string optSelectOverlap) { Matrix soverlap = OverlapSigned(modes1, mass1, mass2, modes2, ila, bResetUnitVector); HDebug.Exception(modes1.Count == weights.Count); int[] idxOverlap1to2; switch (optSelectOverlap) { case "corresponding index": if (modes1.Count != modes2.Count) { throw new HException(); } idxOverlap1to2 = HEnum.HEnumCount(modes1.Count).ToArray(); break; case "best matching overlap": idxOverlap1to2 = new int[modes1.Count]; for (int im = 0; im < modes1.Count; im++) { idxOverlap1to2[im] = 0; for (int k = 0; k < modes2.Count; k++) { if (Math.Abs(soverlap[im, idxOverlap1to2[im]]) < Math.Abs(soverlap[im, k])) { idxOverlap1to2[im] = k; } } } break; default: throw new HException(); } Vector overlap1to2 = new double[modes1.Count]; Vector overlap1to2signed = new double[modes1.Count]; double woverlap = 0; for (int i = 0; i < modes1.Count; i++) { overlap1to2 [i] = Math.Abs(soverlap[i, idxOverlap1to2[i]]); overlap1to2signed[i] = soverlap[i, idxOverlap1to2[i]]; woverlap += weights[i] * overlap1to2[i]; } return(new OOverlapWeighted { soverlap1to2 = soverlap, woverlap = woverlap, weights = weights.ToArray(), overlaps = overlap1to2.ToArray(), sgnoverlaps = overlap1to2signed.ToArray(), idxOverlap1to2 = idxOverlap1to2, modes1 = modes1.ToArray(), modes2 = modes2.ToArray(), }); }
// Constructor for Moving Objects public HBackground(HEnum.BackgroundTyp pType, String pTextureName, String pPfad, Vector2 pXAxis, Vector2 pYAxis, int pAmount, float pSpeed) { this.Initialize("", Vector2.Zero, pTextureName, pPfad); _type = pType; _xRange = pXAxis; _yRange = pYAxis; _cloudAmount = pAmount; _cloudSpeed = pSpeed; }
public void Rotate(HEnum._direction direction, HEnum.GeometryTyp pType) { //if (direction.HasFlag(HEnum._direction.Left)) if (HateEngine.Input.HKeyboard.isMoveLeft || (direction.HasFlag(HEnum._direction.Left) && pType == HEnum.GeometryTyp.Viereck)) _rotation -= _rotationSpeed; //else if (direction.HasFlag(HEnum._direction.Right)) else if (HateEngine.Input.HKeyboard.isMoveRight || (direction.HasFlag(HEnum._direction.Right) && pType == HEnum.GeometryTyp.Viereck)) _rotation += _rotationSpeed; if (_rotation > 360) _rotation = 0; }
static void Main() { //exe Application.EnableVisualStyles(); Application.SetCompatibleTextRenderingDefault(false); Application.Run(new Form1()); //控制台 bool b = EnumUse1.D >= EnumUse1.A; Console.WriteLine(b.ToString()); Show(EnumUse2.E); HEnum.ForEach((x) => Console.WriteLine("{0} = {1},", x, (int)x)); }
public static Vector[] GetTrans(Vector[] coords, Vector cent, int[] block) { int leng = coords.Length; Vector[] transx = new Vector[leng]; Vector[] transy = new Vector[leng]; Vector[] transz = new Vector[leng]; Vector zeros = new double[3]; for (int i = 0; i < leng; i++) { transx[i] = transy[i] = transz[i] = zeros; } Vector dx = new double[3] { 1, 0, 0 }; Vector dy = new double[3] { 0, 1, 0 }; Vector dz = new double[3] { 0, 0, 1 }; IEnumerable <int> enumblock = block; if (block != null) { enumblock = block; } else { enumblock = HEnum.HEnumCount(leng); } foreach (int i in enumblock) { transx[i] = dx; transy[i] = dy; transz[i] = dz; } Vector[] trans = new Vector[3] { transx.ToVector().UnitVector(), transy.ToVector().UnitVector(), transz.ToVector().UnitVector(), }; return(trans); }
public static Tuple <Sheet[], Atom[]>[] HSelectAtoms <Atom>(this IList <Sheet> sheets, IList <Atom> atoms) where Atom : IAtom { var chain_resi_atoms = atoms.GroupChainIDResSeq(); var id_sheets = sheets.HGroupBySheetID(); List <Tuple <Sheet[], Atom[]> > list = new List <Tuple <Sheet[], Atom[]> >(); foreach (string id in id_sheets.Keys) { Sheet[] idsheets = id_sheets[id]; List <Atom> idsheets_atoms = new List <Atom>(); foreach (var sheet in idsheets) { HDebug.Exception(sheet.initChainID == sheet.endChainID); char chain = sheet.initChainID; if (chain_resi_atoms.ContainsKey(chain) == false) { continue; } var chainresi_atoms = chain_resi_atoms[chain]; int[] resis; resis = new int[] { sheet.initSeqNum, sheet.endSeqNum }; resis = resis.HSort(); resis = HEnum.HEnumFromTo(resis[0], resis[1]).ToArray(); foreach (var resi in resis) { if (chainresi_atoms.ContainsKey(resi) == false) { continue; } idsheets_atoms.AddRange(chainresi_atoms[resi]); } } list.Add(new Tuple <Sheet[], Atom[]> ( idsheets, idsheets_atoms.ToArray() )); } return(list.ToArray()); }
public void ChangeForm(HEnum.GeometryTyp pType) { State = pType; switch (State) { case HEnum.GeometryTyp.Strich: SetMultiplyer(1.0f, 0.6f); _rotationSpeed = 10; break; case HEnum.GeometryTyp.Viereck: SetMultiplyer(1.0f, 0.7f); //(0.85f, 0.7f) _rotationSpeed = 3; break; case HEnum.GeometryTyp.Sechseck: SetMultiplyer(1.0f, 1.0f); _rotationSpeed = 10; break; case HEnum.GeometryTyp.Kreis: SetMultiplyer(1.0f, 1.0f); _rotationSpeed = 10; break; } }
public static MixHessInfo GetHessMixModel(Universe univ, IList <Vector> coords, ILinAlg la , IList <ResInfo> lstResAllAtom, FnGetHess GetHess, out string errmsg , bool bGetIntmInfo, string strBkbnReso ) { FnGetHess lGetHess = delegate(Universe luniv, IList <Vector> lcoords, int[] lidxAll, int[] lidxBuffer, int[] lidxCoarse, int[] idxBackbone) { // double check if all three indices are disjoint HDebug.Assert(lidxAll.HUnion().Length == lidxAll.Length); HDebug.Assert(lidxBuffer.HUnion().Length == lidxBuffer.Length); HDebug.Assert(lidxCoarse.HUnion().Length == lidxCoarse.Length); HDebug.Assert(lidxAll.HListCommonT(lidxBuffer).Count == 0); HDebug.Assert(lidxBuffer.HListCommonT(lidxCoarse).Count == 0); HDebug.Assert(lidxCoarse.HListCommonT(lidxAll).Count == 0); if (HDebug.IsDebuggerAttached) { foreach (int idx in lidxAll) { HDebug.Assert(lcoords[idx] != null); } foreach (int idx in lidxBuffer) { HDebug.Assert(lcoords[idx] != null); } foreach (int idx in lidxCoarse) { HDebug.Assert(lcoords[idx] != null); } } var hessinfo = GetHess(luniv, lcoords, lidxAll, lidxBuffer, lidxCoarse, idxBackbone); return(hessinfo); }; bool bVerifySteps = false; // HDebug.IsDebuggerAttached; Vector bfactorFull = null; if (bVerifySteps && HDebug.IsDebuggerAttached) { int[] idxAll = HEnum.HEnumCount(coords.Count).ToArray(); var hessinfo = lGetHess(univ, coords, idxAll, new int[0], new int[0], new int[0]); var modes = hessinfo.GetModesMassReduced(); var modesPosZero = modes.SeparateTolerants(); HDebug.Assert(modesPosZero.Item2.Length == 6); bfactorFull = modesPosZero.Item1.GetBFactor().ToArray(); } IList <Pdb.Atom> pdbatoms = univ.atoms.ListPdbAtoms(); ResInfo[] resinfos = pdbatoms.ListResInfo(true); int[] idxCa; // idxs of Ca atoms int[] idxBkbn; // idxs of backbone atoms int[] idxSele; // idxs of all atoms of lstResAllAtom (selected) int[] idxCntk; // idxs of all atoms contacting idxSele { string[] nameBkbn; switch (strBkbnReso) { case "NCaC": nameBkbn = new string[] { "N", "CA", "C" }; break; case "NCaC-O": nameBkbn = new string[] { "N", "CA", "C", "O" }; break; case "NCaC-OHn": nameBkbn = new string[] { "N", "CA", "C", "O", "HN" }; break; case "NCaC-O-Ha": nameBkbn = new string[] { "N", "CA", "C", "O", "HA" }; break; case "NCaC-OHn-HaCb": nameBkbn = new string[] { "N", "CA", "C", "O", "HN", "HA", "CB" }; break; default: throw new NotImplementedException(); } idxCa = univ.atoms.ListPdbAtoms().IdxByName(true, "CA"); //idxBkbn = univ.atoms.ListPdbAtoms().IdxByName(true, "N", "CA", "C", "O", "HA"); idxBkbn = univ.atoms.ListPdbAtoms().IdxByName(true, nameBkbn); idxSele = resinfos.HIdxEqual(ResInfo.Equals, lstResAllAtom.ToArray()); Vector[] coordSele = coords.HSelectByIndex(idxSele); int[] idxCtof = coords.HIdxWithinCutoff(4.5, coordSele); ResInfo[] resCtof = resinfos.HSelectByIndex(idxCtof); resCtof = resCtof.HUnion(); // remove redundant residues resCtof = resCtof.HRemoveAll(lstResAllAtom.ToArray()).ToArray(); // remove active site residues idxCntk = resinfos.HIdxEqual(ResInfo.Equals, resCtof); bool plot = false; if (plot) #region verify by plotting { Pdb.ToFile(@"C:\temp\mix.pdb", pdbatoms, coords); Pymol.Py.CgoOld.WriteBlank(@"C:\temp\mix.py", false); Pymol.Py.CgoOld.WriteSphere(@"C:\temp\mix.py", "Ca", coords.HSelectByIndex(idxCa).HRemoveAllNull(), 0.3); Pymol.Py.CgoOld.WriteSphere(@"C:\temp\mix.py", "backbone", coords.HSelectByIndex(idxBkbn).HRemoveAllNull(), 0.3); Pymol.Py.CgoOld.WriteSphere(@"C:\temp\mix.py", "active", coordSele.HRemoveAllNull() , 0.3 , red: 1, green: 0, blue: 0); Pymol.Py.CgoOld.WriteSphere(@"C:\temp\mix.py", "connect", coords.HSelectByIndex(idxCntk).HRemoveAllNull() , 0.3 , red: 0, green: 0, blue: 1); HFile.WriteAllLines(@"C:\temp\mix.pml", new string[] { "load mix.pdb", "run mix.py", "reset", }); } #endregion } //idxBkbn = HEnum.HSequence(coords.Count).ToArray(); int[] idxFull = idxSele.HUnionWith(idxCntk).HUnionWith(idxBkbn); Vector[] coordsFull = coords.HCopyIdx(idxFull, null); var hessinfoFull = lGetHess(univ, coordsFull , idxAll: idxSele , idxBuffer: idxCntk.HRemoveAll(idxSele) , idxCoarse: idxBkbn.HRemoveAll(idxSele).HRemoveAll(idxCntk) , idxBackbone: idxBkbn ); HDebug.Assert(hessinfoFull.hess.IsComputable() == false); //{ // var modes = hessinfoFull.GetModesMassReduced(false, la); // var modesPosZero = modes.SeparateTolerants(); // Vector bf = modesPosZero.Item1.GetBFactor().ToArray(); // Vector nma = ext as Vector; // double corr = BFactor.Corr(bf, nma); //} var hessinfoSub = hessinfoFull.GetSubHessInfo(idxFull); HDebug.Assert(hessinfoSub.hess.IsComputable() == true); if (HDebug.IsDebuggerAttached) { Mode[] lmodes = hessinfoSub.GetModesMassReduced(); if (lmodes.SeparateTolerants().Item2.Length != 6) { HDebug.Assert(false); //throw new Exception(); } } if (bVerifySteps && HDebug.IsDebuggerAttached) { var modes = hessinfoSub.GetModesMassReduced(); var modesPosZero = modes.SeparateTolerants(); Vector bf0 = modesPosZero.Item1.GetBFactor().ToArray(); Vector bf = new double[coords.Count]; bf.SetValue(double.NaN); for (int i = 0; i < idxFull.Length; i++) { bf[idxFull[i]] = bf0[i]; } int[] idxCax = idxCa.HRemoveAll(idxSele).HRemoveAll(idxCntk); double corr = HBioinfo.BFactor.Corr(bf, bfactorFull, idxFull); double corrCa = HBioinfo.BFactor.Corr(bf, bfactorFull, idxCa); double corrCax = HBioinfo.BFactor.Corr(bf, bfactorFull, idxCax); double corrBkbn = HBioinfo.BFactor.Corr(bf, bfactorFull, idxBkbn); double corrSele = HBioinfo.BFactor.Corr(bf, bfactorFull, idxSele); double corrCntk = HBioinfo.BFactor.Corr(bf, bfactorFull, idxCntk); } int[] idxMix; { Universe.Atom[] mixAtoms = hessinfoSub.atoms.HToType <object, Universe.Atom>(); Pdb.Atom[] mixPdbAtoms = mixAtoms.ListPdbAtoms(); ResInfo[] mixResinfos = mixPdbAtoms.ListResInfo(true); int[] mixIdxCa = mixPdbAtoms.IdxByName(true, "CA"); int[] mixIdxSele = mixResinfos.HIdxEqual(ResInfo.Equals, lstResAllAtom.ToArray()); idxMix = mixIdxCa.HUnionWith(mixIdxSele).HSort(); } HessMatrix hessMix = Hess.GetHessCoarseBlkmat(hessinfoSub.hess, idxMix, la); if (hessMix.IsComputable() == false) { // hessSub (=hessinfoSub.hess) is computable, but hessMix become in-computable. // This happens when 1. hessSub=[A,B;C,D] has more then 6 zero eigenvalues, // 2. the D matrix become singular, // 3. inv(D) is incomputable // 4. "A - B inv(D) C" becomes incomputable. errmsg = "hess(Sele,Cntk,Bkbn)->hess(Sele,Ca) becomes incomputable"; return(null); } MixHessInfo hessinfoMix = new MixHessInfo { hess = hessMix, mass = hessinfoSub.mass.ToArray().HSelectByIndex(idxMix), atoms = hessinfoSub.atoms.ToArray().HSelectByIndex(idxMix), coords = hessinfoSub.coords.ToArray().HSelectByIndex(idxMix), numZeroEigval = 6, }; if (bGetIntmInfo) { hessinfoMix.intmHessinfoAllMidBkbn = hessinfoSub; hessinfoMix.intmAtomCa = univ.atoms.ToArray().HSelectByIndex(idxCa); hessinfoMix.intmAtomAll = univ.atoms.ToArray().HSelectByIndex(idxSele); hessinfoMix.intmAtomMid = univ.atoms.ToArray().HSelectByIndex(idxCntk); hessinfoMix.intmAtomBkbn = univ.atoms.ToArray().HSelectByIndex(idxBkbn); } if (HDebug.IsDebuggerAttached) { Mode[] lmodes = hessinfoMix.GetModesMassReduced(); if (lmodes.SeparateTolerants().Item2.Length != 6) { throw new Exception(); } } if (bVerifySteps && HDebug.IsDebuggerAttached) { var modes = hessinfoMix.GetModesMassReduced(); var modesPosZero = modes.SeparateTolerants(); Vector bf0 = modesPosZero.Item1.GetBFactor().ToArray(); Vector bf = new double[coords.Count]; bf.SetValue(double.NaN); for (int i = 0; i < idxMix.Length; i++) { bf[idxFull[idxMix[i]]] = bf0[i]; } int[] idxCax = idxCa.HRemoveAll(idxSele).HRemoveAll(idxCntk); double corr = HBioinfo.BFactor.Corr(bf, bfactorFull, true); double corrCa = HBioinfo.BFactor.Corr(bf, bfactorFull, idxCa); double corrCax = HBioinfo.BFactor.Corr(bf, bfactorFull, idxCax); double corrBkbn = HBioinfo.BFactor.Corr(bf, bfactorFull, idxBkbn); double corrSele = HBioinfo.BFactor.Corr(bf, bfactorFull, idxSele); double corrCntk = HBioinfo.BFactor.Corr(bf, bfactorFull, idxCntk); } errmsg = null; return(hessinfoMix); }
public static CGetHessCoarseResiIterImpl GetHessCoarseResiIterImpl_Matlab_IterLowerTri (object[] atoms , HessMatrix H , List <int>[] lstNewIdxRemv , double thres_zeroblk , ILinAlg ila , bool cloneH , string[] options // { "pinv(D)" } ) { ila = null; if (cloneH) { H = H.CloneHess(); } bool process_disp_console = true; if (options != null && options.Contains("print process")) { process_disp_console = true; } bool parallel = true; /// keep only lower triangle of H (lower block triangles) { HashSet <Tuple <int, int, MatrixByArr> > lstUppTrig = new HashSet <Tuple <int, int, MatrixByArr> >(); foreach (ValueTuple <int, int, MatrixByArr> bc_br_bval in H.EnumBlocks()) { int bc = bc_br_bval.Item1; int br = bc_br_bval.Item2; if (bc < br) { lstUppTrig.Add(bc_br_bval.ToTuple()); } } foreach (Tuple <int, int, MatrixByArr> bc_br_bval in lstUppTrig) { int bc = bc_br_bval.Item1; int br = bc_br_bval.Item2; HDebug.Assert(bc < br); H.SetBlock(bc, br, null); } } GC.Collect(); List <DateTime> process_time = new List <DateTime>(); //System.Console.WriteLine("begin coarse-graining"); List <HessCoarseResiIterInfo> iterinfos = new List <HessCoarseResiIterInfo>(); for (int iter = lstNewIdxRemv.Length - 1; iter >= 0; iter--) { process_time.Clear(); if (process_disp_console) { process_time.Add(DateTime.UtcNow); System.Console.Write(" - {0:000} : ", iter); } //int[] ikeep = lstNewIdxRemv[iter].Item1; int[] iremv = lstNewIdxRemv[iter].ToArray(); int iremv_min = iremv.Min(); int iremv_max = iremv.Max(); HDebug.Assert(H.ColBlockSize == H.RowBlockSize); int blksize = H.ColBlockSize; //HDebug.Assert(ikeep.Max() < blksize); //HDebug.Assert(iremv.Max() < blksize); //HDebug.Assert(iremv.Max()+1 == blksize); //HDebug.Assert(iremv.Max() - iremv.Min() + 1 == iremv.Length); int[] idxkeep = HEnum.HEnumFromTo(0, iremv_min - 1).ToArray(); int[] idxremv = HEnum.HEnumFromTo(iremv_min, iremv_max).ToArray(); //HDebug.Assert(idxkeep.HUnionWith(idxremv).Length == blksize); HessCoarseResiIterInfo iterinfo = new HessCoarseResiIterInfo(); iterinfo.sizeHessBlkMat = idxremv.Max() + 1; // H.ColBlockSize; iterinfo.numAtomsRemoved = idxremv.Length; iterinfo.time0 = DateTime.UtcNow; //////////////////////////////////////////////////////////////////////////////////////// // make C sparse double C_density0; double C_density1; { double thres_absmax = thres_zeroblk; C_density0 = 0; List <Tuple <int, int> > lstIdxToMakeZero = new List <Tuple <int, int> >(); foreach (var bc_br_bval in H.EnumBlocksInCols(idxremv)) { int bc = bc_br_bval.Item1; int br = bc_br_bval.Item2; var bval = bc_br_bval.Item3; if (br >= iremv_min) { // bc_br is in D, not in C continue; } C_density0++; double absmax_bval = bval.HAbsMax(); if (absmax_bval < thres_absmax) { lstIdxToMakeZero.Add(new Tuple <int, int>(bc, br)); } } C_density1 = C_density0 - lstIdxToMakeZero.Count; foreach (var bc_br in lstIdxToMakeZero) { int bc = bc_br.Item1; int br = bc_br.Item2; HDebug.Assert(bc > br); var Cval = H.GetBlock(bc, br); var Dval = H.GetBlock(bc, bc); var Aval = H.GetBlock(br, br); var Bval = Cval.Tr(); H.SetBlock(bc, br, null); // nCval = Cval -Cval H.SetBlock(bc, bc, Dval + Cval); // nDval = Dval - (-Cval) = Dval + Cval // nBval = Bval -Bval H.SetBlock(br, br, Aval + Bval); // nAval = Aval - (-Bval) = Aval + Bval } iterinfo.numSetZeroBlock = lstIdxToMakeZero.Count; iterinfo.numNonZeroBlock = (int)C_density1; C_density0 /= (idxkeep.Length * idxremv.Length); C_density1 /= (idxkeep.Length * idxremv.Length); } //////////////////////////////////////////////////////////////////////////////////////// // get A, B, C, D HessMatrix A = H; // HessMatrix A = H.SubMatrixByAtoms(false, idxkeep, idxkeep); // HessMatrix B = H.SubMatrixByAtoms(false, idxkeep, idxremv); HessMatrix C; // HessMatrix C = H.SubMatrixByAtoms(false, idxremv, idxkeep, parallel:parallel); HessMatrix D; // HessMatrix D = H.SubMatrixByAtoms(false, idxremv, idxremv, parallel:parallel); { C = H.Zeros(idxremv.Length * 3, idxkeep.Length * 3); D = H.Zeros(idxremv.Length * 3, idxremv.Length * 3); //List<Tuple<int, int, MatrixByArr>> lst_bc_br_bval = H.EnumBlocksInCols(idxremv).ToList(); //foreach(var bc_br_bval in lst_bc_br_bval) foreach (var bc_br_bval in H.EnumBlocksInCols(idxremv)) { int bc = bc_br_bval.Item1; int br = bc_br_bval.Item2; var bval = bc_br_bval.Item3; H.SetBlock(bc, br, null); if (bc > iremv_max) { HDebug.Assert(false); continue; } if (br > iremv_max) { HDebug.Assert(false); continue; } if (br < iremv_min) { int nc = bc - iremv_min; int nr = br; HDebug.Assert(C.HasBlock(nc, nr) == false); C.SetBlock(nc, nr, bval.CloneT()); } else { int nc = bc - iremv_min; int nr = br - iremv_min; HDebug.Assert(D.HasBlock(nc, nr) == false); D.SetBlock(nc, nr, bval); if (nc != nr) { HDebug.Assert(D.HasBlock(nr, nc) == false); D.SetBlock(nr, nc, bval.Tr()); } } } HDebug.Assert(H.EnumBlocksInCols(idxremv).Count() == 0); } if (process_disp_console) { process_time.Add(DateTime.UtcNow); int ptc = process_time.Count; System.Console.Write("CD({0:00.00} min), ", (process_time[ptc - 1] - process_time[ptc - 2]).TotalMinutes); } //////////////////////////////////////////////////////////////////////////////////////// // Get B.inv(D).C HessMatrix B_invD_C; { { B_invD_C = GetHessCoarseResiIterImpl_Matlab_IterLowerTri_Get_BInvDC(A, C, D, process_disp_console , options , thld_BinvDC: thres_zeroblk / lstNewIdxRemv.Length , parallel: parallel ); } if (process_disp_console) { process_time.Add(DateTime.UtcNow); int ptc = process_time.Count; System.Console.Write("B.invD.C({0:00.00} min), ", (process_time[ptc - 1] - process_time[ptc - 2]).TotalMinutes); } GC.Collect(0); } //////////////////////////////////////////////////////////////////////////////////////// // Get A - B.inv(D).C /// iterinfo.numAddIgnrBlock = A.UpdateAdd(B_invD_C, -1, null, thres_zeroblk/lstNewIdxRemv.Length, parallel:parallel); { HessMatrix __this = A; HessMatrix other = B_invD_C; double _thres_NearZeroBlock = thres_zeroblk / lstNewIdxRemv.Length; int[] _count = new int[1]; int[] _count_ignored = new int[1]; //foreach(var bc_br_bval in other.EnumBlocks()) Action <ValueTuple <int, int, MatrixByArr> > func = delegate(ValueTuple <int, int, MatrixByArr> bc_br_bval) { _count[0]++; int bc = bc_br_bval.Item1; int br = bc_br_bval.Item2; MatrixByArr other_bmat = bc_br_bval.Item3; if (bc < br) { return; // continue; } if (other_bmat.HAbsMax() <= _thres_NearZeroBlock) { /// other_bmat = other_bmat -other_bmat; /// other_diag = other_diag - (-other_bmat) = other_diag + other_bmat; /// this_diag = this_diat - B_invD_C /// = this_diat - other_diag /// = this_diat - (other_diag + other_bmat) /// = this_diat - other_diag - other_bmat /// = (this_diat - other_bmat) - other_diag /// = (this_diat - other_bmat) - (processed later) /// = (this_diat - other_bmat) MatrixByArr this_diag = __this.GetBlock(bc, bc); MatrixByArr new_diag = this_diag - other_bmat; __this.SetBlockLock(bc, bc, new_diag); other_bmat = null; lock (_count_ignored) _count_ignored[0]++; } if (other_bmat != null) { MatrixByArr this_bmat = __this.GetBlock(bc, br); if (this_bmat == null) { this_bmat = new double[3, 3]; } MatrixByArr new_bmat = this_bmat - other_bmat; __this.SetBlockLock(bc, br, new_bmat); } }; if (parallel) { HParallel.ForEach(other.EnumBlocks(), func); } else { foreach (var bc_br_bval in other.EnumBlocks()) { func(bc_br_bval); } } iterinfo.numAddIgnrBlock = _count_ignored[0]; } if (process_disp_console) { process_time.Add(DateTime.UtcNow); int ptc = process_time.Count; System.Console.Write("A-BinvDC({0:00.00} min), ", (process_time[ptc - 1] - process_time[ptc - 2]).TotalMinutes); } //HessMatrix nH = A - B_invD_C; //nH = ((nH + nH.Tr())/2).ToHessMatrix(); //////////////////////////////////////////////////////////////////////////////////////// // Replace A -> H H = A; //////////////////////////////////////////////////////////////////////////////////////// // print iteration log iterinfo.usedMemoryByte = GC.GetTotalMemory(false); iterinfo.time1 = DateTime.UtcNow; iterinfos.Add(iterinfo); if (process_disp_console) { System.Console.Write("summary(makezero {0,5}, nonzero {1,5}, numIgnMul {2,7}, numRemvAtoms {3,3}, {4,5:0.00} min, {5} mb, {6}x{6}, nzeroBlk/Atom {7:0.00}), GC(" , iterinfo.numSetZeroBlock , iterinfo.numNonZeroBlock , iterinfo.numAddIgnrBlock , iterinfo.numAtomsRemoved , iterinfo.compTime.TotalMinutes , iterinfo.usedMemoryByte / (1024 * 1024) , (idxkeep.Length * 3) , ((double)iterinfo.numNonZeroBlock / idxremv.Length) ); } GC.Collect(); if (process_disp_console) { System.Console.WriteLine(")"); } } int numca = H.ColBlockSize - lstNewIdxRemv.HListCount().Sum(); //System.Console.WriteLine("finish coarse-graining"); { int[] idxkeep = HEnum.HEnumCount(numca).ToArray(); H = H.SubMatrixByAtoms(false, idxkeep, idxkeep, false); } { H.MakeNearZeroBlockAsZero(thres_zeroblk); } GC.Collect(); //System.Console.WriteLine("finish resizing"); return(new CGetHessCoarseResiIterImpl { iterinfos = iterinfos, H = H, }); }
static void Show(HEnum e) { Console.WriteLine(@"{0} = {1},""{2}""", e, (int)e, e.ToString()); }
public static CGetHessCoarseResiIterImpl GetHessCoarseResiIterImpl_ILinAlg_20150329(HessMatrix H, List <int>[] lstNewIdxRemv, double thres_zeroblk, ILinAlg ila, bool cloneH) { if (cloneH) { H = H.CloneHess(); } //System.Console.WriteLine("begin coarse-graining"); List <HessCoarseResiIterInfo> iterinfos = new List <HessCoarseResiIterInfo>(); for (int iter = lstNewIdxRemv.Length - 1; iter >= 0; iter--) { //int[] ikeep = lstNewIdxRemv[iter].Item1; int[] iremv = lstNewIdxRemv[iter].ToArray(); HDebug.Assert(H.ColBlockSize == H.RowBlockSize); int blksize = H.ColBlockSize; //HDebug.Assert(ikeep.Max() < blksize); //HDebug.Assert(iremv.Max() < blksize); //HDebug.Assert(iremv.Max()+1 == blksize); //HDebug.Assert(iremv.Max() - iremv.Min() + 1 == iremv.Length); int[] idxkeep = HEnum.HEnumFromTo(0, iremv.Min() - 1).ToArray(); int[] idxremv = HEnum.HEnumFromTo(iremv.Min(), iremv.Max()).ToArray(); //HDebug.Assert(idxkeep.HUnionWith(idxremv).Length == blksize); HessCoarseResiIterInfo iterinfo = new HessCoarseResiIterInfo(); iterinfo.sizeHessBlkMat = idxremv.Max() + 1; // H.ColBlockSize; iterinfo.numAtomsRemoved = idxremv.Length; iterinfo.time0 = DateTime.UtcNow; { //HessMatrix A = H.SubMatrixByAtoms(false, idxkeep, idxkeep); HessMatrix A = H; //HessMatrix B = H.SubMatrixByAtoms(false, idxkeep, idxremv); HessMatrix C = H.SubMatrixByAtoms(false, idxremv, idxkeep); HessMatrix D = H.SubMatrixByAtoms(false, idxremv, idxremv); HessMatrix invD = new HessMatrixDense { hess = ila.InvSymm(D) }; // make B,C sparse //int B_cntzero = B.MakeNearZeroBlockAsZero(thres_zeroblk); iterinfo.numSetZeroBlock = C.MakeNearZeroBlockAsZero(thres_zeroblk); //int B_nzeros = B.NumUsedBlocks; double B_nzeros_ = Math.Sqrt(B_nzeros); iterinfo.numNonZeroBlock = C.NumUsedBlocks; HessMatrix B = C.Tr(); HessMatrix B_invD_C = B * invD * C; iterinfo.numAddIgnrBlock = A.UpdateAdd(B_invD_C, -1, null, thres_zeroblk / lstNewIdxRemv.Length); //HessMatrix nH = A - B_invD_C; //nH = ((nH + nH.Tr())/2).ToHessMatrix(); H = A; } iterinfo.usedMemoryByte = GC.GetTotalMemory(false); iterinfo.time1 = DateTime.UtcNow; iterinfos.Add(iterinfo); //System.Console.WriteLine(" - {0:000} : makezero {1,5}, nonzero {2,5}, numIgnMul {3,7}, numRemvAtoms {4,3}, {5,5:0.00} sec, {6} mb, {7}x{7}" // , iter // , iterinfo.numSetZeroBlock // , iterinfo.numNonZeroBlock // , iterinfo.numAddIgnrBlock // , iterinfo.numAtomsRemoved // , iterinfo.compSec // , iterinfo.usedMemoryByte/(1024*1024) // , (idxkeep.Length*3) // ); GC.Collect(); } int numca = H.ColBlockSize - lstNewIdxRemv.HListCount().Sum(); //System.Console.WriteLine("finish coarse-graining"); { int[] idxkeep = HEnum.HEnumCount(numca).ToArray(); H = H.SubMatrixByAtoms(false, idxkeep, idxkeep, false); } { H.MakeNearZeroBlockAsZero(thres_zeroblk); } GC.Collect(); //System.Console.WriteLine("finish resizing"); return(new CGetHessCoarseResiIterImpl { iterinfos = iterinfos, H = H, }); }
public static CGetHessCoarseResiIterImpl Do (object[] atoms , HessMatrix H , List <int>[] lstNewIdxRemv , double thres_zeroblk , ILinAlg ila , bool cloneH , string[] options ) { //HDebug.ToDo(); ila = null; cloneH = true; if (cloneH) { H = H.CloneHess(); } bool process_disp_console = true; if (options != null && options.Contains("print process")) { process_disp_console = true; } bool parallel = false; /// keep only lower triangle of H (lower block triangles) { HashSet <Tuple <int, int, MatrixByArr> > lstUppTrig = new HashSet <Tuple <int, int, MatrixByArr> >(); foreach (ValueTuple <int, int, MatrixByArr> bc_br_bval in H.EnumBlocks()) { int bc = bc_br_bval.Item1; int br = bc_br_bval.Item2; if (bc < br) { lstUppTrig.Add(bc_br_bval.ToTuple()); } } foreach (Tuple <int, int, MatrixByArr> bc_br_bval in lstUppTrig) { int bc = bc_br_bval.Item1; int br = bc_br_bval.Item2; HDebug.Assert(bc < br); H.SetBlock(bc, br, null); } } GC.Collect(); DateTime[] process_time = new DateTime[6]; //System.Console.WriteLine("begin coarse-graining"); List <HessCoarseResiIterInfo> iterinfos = new List <HessCoarseResiIterInfo>(); for (int iter = lstNewIdxRemv.Length - 1; iter >= 0; iter--) { bool lprocess_disp_console = (process_disp_console && iter % 5 == 0); lprocess_disp_console = true; if (lprocess_disp_console) { process_time[0] = DateTime.UtcNow; System.Console.Write(" - {0:000} : ", iter); } //int[] ikeep = lstNewIdxRemv[iter].Item1; HessCoarseResiIterInfo iterinfo = new HessCoarseResiIterInfo(); iterinfo.sizeHessBlkMat = 1; iterinfo.numAtomsRemoved = 1; iterinfo.time0 = DateTime.UtcNow; int _count_update = 0; { HDebug.Assert(lstNewIdxRemv[iter].Count == 1); int iremv = lstNewIdxRemv[iter][0]; HessMatrix A = H; MatrixByArr D = null; double D_absmin = 0; List <int> C_lstbr = new List <int>(); List <MatrixByArr> C_lstbval = new List <MatrixByArr>(); { // get C and D foreach (var(bc, br, bval) in H.EnumBlocksInCols(new int[] { iremv })) { HDebug.Assert(iremv == bc); if (bc == br) { HDebug.Assert(D == null); D = bval; D_absmin = D.HAbsMin(); } else { if (bval.HAbsMin() >= thres_zeroblk) { C_lstbr.Add(br); C_lstbval.Add(bval); } } } // remove C and D { int bc = iremv; H.SetBlock(bc, bc, null); foreach (int br in C_lstbr) { H.SetBlock(bc, br, null); } } } if (lprocess_disp_console) { process_time[1] = process_time[2] = DateTime.UtcNow; System.Console.Write("CD({0:00.00} min), ", (process_time[2] - process_time[0]).TotalMinutes); } double threshold = thres_zeroblk / lstNewIdxRemv.Length; // DD ={ { d00,d01,d02},{ d10,d11,d12},{ d20,d21,d22} }; MatrixForm[DD] // BB ={ { b00,b01,b02},{ b10,b11,b12},{ b20,b21,b22} }; MatrixForm[BB] // CC ={ { c00,c01,c02},{ c10,c11,c12},{ c20,c21,c22} }; MatrixForm[CC] // object[] dbginfo = null; // new object[] { iremv, atoms, H, D, C_lstbr, C_lstbval }; Action <ValueTuple <int, int, MatrixByArr, MatrixByArr> > Update_A_B_invD_C = delegate(ValueTuple <int, int, MatrixByArr, MatrixByArr> info) { int bc = info.Item1; // bc int br = info.Item2; // br MatrixByArr DC = info.Item3; // invDD_CC // XX ={ { x00,x01,x02},{ x10,x11,x12},{ x20,x21,x22} }; MatrixForm[CC] MatrixByArr B = info.Item4; // BB // BB ={ { b00,b01,b02},{ b10,b11,b12},{ b20,b21,b22} }; MatrixForm[BB] //var _iremv = (int)dbginfo[0]; //var _atoms = dbginfo[1] as Universe.Atom[] ; //var _H = dbginfo[2] as HessMatrix ; //var _D = dbginfo[3] as MatrixByArr ; //var _C_lstbr = dbginfo[4] as List<int> ; //var _C_lstbval = dbginfo[5] as List<MatrixByArr>; //MatrixByArr BB_invDD_CC = BB * invDD_CC; double _BDC00 = 0 - B[0, 0] * DC[0, 0] - B[0, 1] * DC[1, 0] - B[0, 2] * DC[2, 0]; // { { b00 x00 +b01 x10 + b02 x20 double _BDC01 = 0 - B[0, 0] * DC[0, 1] - B[0, 1] * DC[1, 1] - B[0, 2] * DC[2, 1]; // , b00 x01 +b01 x11 + b02 x21 double _BDC02 = 0 - B[0, 0] * DC[0, 2] - B[0, 1] * DC[1, 2] - B[0, 2] * DC[2, 2]; // , b00 x02 +b01 x12 + b02 x22 double _BDC10 = 0 - B[1, 0] * DC[0, 0] - B[1, 1] * DC[1, 0] - B[1, 2] * DC[2, 0]; // },{ b10 x00 +b11 x10 + b12 x20 double _BDC11 = 0 - B[1, 0] * DC[0, 1] - B[1, 1] * DC[1, 1] - B[1, 2] * DC[2, 1]; // , b10 x01 +b11 x11 + b12 x21 double _BDC12 = 0 - B[1, 0] * DC[0, 2] - B[1, 1] * DC[1, 2] - B[1, 2] * DC[2, 2]; // , b10 x02 +b11 x12 + b12 x22 double _BDC20 = 0 - B[2, 0] * DC[0, 0] - B[2, 1] * DC[1, 0] - B[2, 2] * DC[2, 0]; // },{ b20 x00 +b21 x10 + b22 x20 double _BDC21 = 0 - B[2, 0] * DC[0, 1] - B[2, 1] * DC[1, 1] - B[2, 2] * DC[2, 1]; // , b20 x01 +b21 x11 + b22 x21 double _BDC22 = 0 - B[2, 0] * DC[0, 2] - B[2, 1] * DC[1, 2] - B[2, 2] * DC[2, 2]; // , b20 x02 +b21 x12 + b22 x22 }} if (A.HasBlockLock(bc, br)) { MatrixByArr A_bc_br = A.GetBlockLock(bc, br); A_bc_br[0, 0] += _BDC00; // A = A + (-B.invD.C) A_bc_br[0, 1] += _BDC01; // A = A + (-B.invD.C) A_bc_br[0, 2] += _BDC02; // A = A + (-B.invD.C) A_bc_br[1, 0] += _BDC10; // A = A + (-B.invD.C) A_bc_br[1, 1] += _BDC11; // A = A + (-B.invD.C) A_bc_br[1, 2] += _BDC12; // A = A + (-B.invD.C) A_bc_br[2, 0] += _BDC20; // A = A + (-B.invD.C) A_bc_br[2, 1] += _BDC21; // A = A + (-B.invD.C) A_bc_br[2, 2] += _BDC22; // A = A + (-B.invD.C) // (small && small && small) == !(large || large || large) bool toosmall = !(Math.Abs(A_bc_br[0, 0]) > threshold || Math.Abs(A_bc_br[0, 1]) > threshold || Math.Abs(A_bc_br[0, 2]) > threshold || Math.Abs(A_bc_br[1, 0]) > threshold || Math.Abs(A_bc_br[1, 1]) > threshold || Math.Abs(A_bc_br[1, 2]) > threshold || Math.Abs(A_bc_br[2, 0]) > threshold || Math.Abs(A_bc_br[2, 1]) > threshold || Math.Abs(A_bc_br[2, 2]) > threshold); if (toosmall) { HDebug.Assert(bc != br); A.SetBlockLock(bc, br, null); } } else { // (small && small && small) == !(large || large || large) bool toosmall = !(Math.Abs(_BDC00) > threshold || Math.Abs(_BDC01) > threshold || Math.Abs(_BDC02) > threshold || Math.Abs(_BDC10) > threshold || Math.Abs(_BDC11) > threshold || Math.Abs(_BDC12) > threshold || Math.Abs(_BDC20) > threshold || Math.Abs(_BDC21) > threshold || Math.Abs(_BDC22) > threshold); if (!toosmall) { MatrixByArr A_bc_br = new double[3, 3] { { _BDC00, _BDC01, _BDC02 } // A = 0 + (-B.invD.C) , { _BDC10, _BDC11, _BDC12 } // A = 0 + (-B.invD.C) , { _BDC20, _BDC21, _BDC22 } // A = 0 + (-B.invD.C) }; A.SetBlockLock(bc, br, A_bc_br); } } System.Threading.Interlocked.Increment(ref _count_update); }; var lstCompInfo = EnumComput(D, C_lstbr, C_lstbval, threshold); if (parallel) { Parallel.ForEach(lstCompInfo, Update_A_B_invD_C); } else { foreach (var info in lstCompInfo) { Update_A_B_invD_C(info); } } //GC.Collect(0); if (lprocess_disp_console) { process_time[4] = DateTime.UtcNow; System.Console.Write("B.invD.C({0:00.00} min), ", (process_time[4] - process_time[3]).TotalMinutes); } H = A; } iterinfo.usedMemoryByte = GC.GetTotalMemory(false); iterinfo.time1 = DateTime.UtcNow; iterinfos.Add(iterinfo); if (lprocess_disp_console) { System.Console.WriteLine("summary(makezero {0,5}, nonzero {1,5}, numIgnMul {2,7}, numRemvAtoms {3,3}, {4,5:0.00} sec, {5} mb, {6}x{6}, nzeroBlk/Atom {7:0.00}, cntUpdateBlk({8}))" , iterinfo.numSetZeroBlock , iterinfo.numNonZeroBlock , iterinfo.numAddIgnrBlock , iterinfo.numAtomsRemoved , iterinfo.compSec , iterinfo.usedMemoryByte / (1024 * 1024) , (0 * 3) , 0//((double)iterinfo.numNonZeroBlock / idxremv.Length) , _count_update ); } } int numca = H.ColBlockSize - lstNewIdxRemv.HListCount().Sum(); //System.Console.WriteLine("finish coarse-graining"); { int[] idxkeep = HEnum.HEnumCount(numca).ToArray(); H = H.SubMatrixByAtoms(false, idxkeep, idxkeep, false); } { H.MakeNearZeroBlockAsZero(thres_zeroblk); } GC.Collect(0); //System.Console.WriteLine("finish resizing"); return(new CGetHessCoarseResiIterImpl { iterinfos = iterinfos, H = H, }); }
public int UpdateAdd(HessMatrix other, double mul_other, IList <int> idxOther, double thres_NearZeroBlock, bool parallel = false) { Matrix debug_updateadd = null; if (UpdateAdd_SelfTest && idxOther == null && thres_NearZeroBlock == 0) { if ((100 < ColBlockSize) && (ColBlockSize < 1000) && (100 < RowBlockSize) && (RowBlockSize < 1000) && (other.NumUsedBlocks > 20)) { UpdateAdd_SelfTest = false; debug_updateadd = this.ToArray(); debug_updateadd.UpdateAdd(other, mul_other); } } int[] idx_other; if (idxOther == null) { //HDebug.Exception(ColSize == other.ColSize); //HDebug.Exception(RowSize == other.RowSize); idx_other = HEnum.HEnumCount(other.ColSize).ToArray(); } else { idx_other = idxOther.ToArray(); } int count = 0; int count_ignored = 0; object _lock = new object(); object _lock_ignored = new object(); Action <ValueTuple <int, int, MatrixByArr> > func = delegate(ValueTuple <int, int, MatrixByArr> bc_br_bval) { count++; int other_bc = bc_br_bval.Item1; int other_br = bc_br_bval.Item2; MatrixByArr other_bmat = bc_br_bval.Item3; if (other_bmat.HAbsMax() <= thres_NearZeroBlock) { lock (_lock_ignored) count_ignored++; //continue; return; } int bc = idx_other[other_bc]; int br = idx_other[other_br]; lock (_lock) { MatrixByArr this_bmat = GetBlock(bc, br); MatrixByArr new_bmat; if (this_bmat == null) { if (other_bmat == null) { new_bmat = null; } else { new_bmat = mul_other * other_bmat; } } else { if (other_bmat == null) { new_bmat = this_bmat.CloneT(); } else { new_bmat = this_bmat + mul_other * other_bmat; } } SetBlock(bc, br, new_bmat); } }; if (parallel) { Parallel.ForEach(other.EnumBlocks(), func); } else { foreach (var bc_br_bval in other.EnumBlocks()) { func(bc_br_bval); } } if (debug_updateadd != null) { Matrix debug_diff = debug_updateadd - this; double debug_absmax = debug_diff.HAbsMax(); HDebug.AssertToleranceMatrix(0, debug_diff); } return(count_ignored); }
public static CGetHessCoarseResiIterImpl GetHessCoarseResiIterImpl_ILinAlg(HessMatrix H, List <int>[] lstNewIdxRemv, double thres_zeroblk, ILinAlg ila, bool cloneH) { if (cloneH) { H = H.CloneHess(); } bool process_disp_console = true; DateTime[] process_time = new DateTime[7]; //System.Console.WriteLine("begin coarse-graining"); List <HessCoarseResiIterInfo> iterinfos = new List <HessCoarseResiIterInfo>(); for (int iter = lstNewIdxRemv.Length - 1; iter >= 0; iter--) { if (process_disp_console) { process_time[0] = DateTime.UtcNow; System.Console.Write(" - {0:000} : ", iter); } //int[] ikeep = lstNewIdxRemv[iter].Item1; int[] iremv = lstNewIdxRemv[iter].ToArray(); HDebug.Assert(H.ColBlockSize == H.RowBlockSize); int blksize = H.ColBlockSize; //HDebug.Assert(ikeep.Max() < blksize); //HDebug.Assert(iremv.Max() < blksize); //HDebug.Assert(iremv.Max()+1 == blksize); //HDebug.Assert(iremv.Max() - iremv.Min() + 1 == iremv.Length); int[] idxkeep = HEnum.HEnumFromTo(0, iremv.Min() - 1).ToArray(); int[] idxremv = HEnum.HEnumFromTo(iremv.Min(), iremv.Max()).ToArray(); //HDebug.Assert(idxkeep.HUnionWith(idxremv).Length == blksize); HessCoarseResiIterInfo iterinfo = new HessCoarseResiIterInfo(); iterinfo.sizeHessBlkMat = idxremv.Max() + 1; // H.ColBlockSize; iterinfo.numAtomsRemoved = idxremv.Length; iterinfo.time0 = DateTime.UtcNow; double C_density0 = double.NaN; double C_density1 = double.NaN; { //HessMatrix A = H.SubMatrixByAtoms(false, idxkeep, idxkeep); HessMatrix A = H; //HessMatrix B = H.SubMatrixByAtoms(false, idxkeep, idxremv); HessMatrix C = H.SubMatrixByAtoms(false, idxremv, idxkeep); if (process_disp_console) { process_time[1] = DateTime.UtcNow; System.Console.Write("C({0:00.00} min), ", (process_time[1] - process_time[0]).TotalMinutes); } HessMatrix D = H.SubMatrixByAtoms(false, idxremv, idxremv); if (process_disp_console) { process_time[2] = DateTime.UtcNow; System.Console.Write("D({0:00.00} min), ", (process_time[2] - process_time[1]).TotalMinutes); } HessMatrix invD = new HessMatrixDense { hess = ila.InvSymm(D) }; if (process_disp_console) { process_time[3] = DateTime.UtcNow; System.Console.Write("invD({0:00.00} min), ", (process_time[3] - process_time[2]).TotalMinutes); } // make B,C sparse //int B_cntzero = B.MakeNearZeroBlockAsZero(thres_zeroblk); C_density0 = C.RatioUsedBlocks; iterinfo.numSetZeroBlock = C.MakeNearZeroBlockAsZero(thres_zeroblk); if (process_disp_console) { process_time[4] = DateTime.UtcNow; System.Console.Write("sparseC({0:00.00} min), ", (process_time[4] - process_time[3]).TotalMinutes); } //int B_nzeros = B.NumUsedBlocks; double B_nzeros_ = Math.Sqrt(B_nzeros); iterinfo.numNonZeroBlock = C.NumUsedBlocks; C_density1 = C.RatioUsedBlocks; HessMatrix B = C.Tr(); HessMatrix B_invD_C = HessMatrix.GetMul(ila, B, invD, C); /* B * invD * C;*/ if (process_disp_console) { process_time[5] = DateTime.UtcNow; System.Console.Write("B.invD.C({0:00.00} min), ", (process_time[5] - process_time[4]).TotalMinutes); } iterinfo.numAddIgnrBlock = A.UpdateAdd(B_invD_C, -1, null, thres_zeroblk / lstNewIdxRemv.Length); if (process_disp_console) { process_time[6] = DateTime.UtcNow; System.Console.Write("A+BinvDC({0:00.00} min), ", (process_time[6] - process_time[5]).TotalMinutes); } //HessMatrix nH = A - B_invD_C; //nH = ((nH + nH.Tr())/2).ToHessMatrix(); H = A; } iterinfo.usedMemoryByte = GC.GetTotalMemory(false); iterinfo.time1 = DateTime.UtcNow; iterinfos.Add(iterinfo); if (process_disp_console) { System.Console.WriteLine("summary(makezero {0,5}, nonzero {1,5}, numIgnMul {2,7}, numRemvAtoms {3,3}, {4,5:0.00} sec, {5} mb, {6}x{6}, nzeroBlk/Atom {7:0.00})" , iterinfo.numSetZeroBlock , iterinfo.numNonZeroBlock , iterinfo.numAddIgnrBlock , iterinfo.numAtomsRemoved , iterinfo.compSec , iterinfo.usedMemoryByte / (1024 * 1024) , (idxkeep.Length * 3) , ((double)iterinfo.numNonZeroBlock / idxremv.Length) ); } GC.Collect(0); } int numca = H.ColBlockSize - lstNewIdxRemv.HListCount().Sum(); //System.Console.WriteLine("finish coarse-graining"); { int[] idxkeep = HEnum.HEnumCount(numca).ToArray(); H = H.SubMatrixByAtoms(false, idxkeep, idxkeep, false); } { H.MakeNearZeroBlockAsZero(thres_zeroblk); } GC.Collect(0); //System.Console.WriteLine("finish resizing"); return(new CGetHessCoarseResiIterImpl { iterinfos = iterinfos, H = H, }); }
public static Vector[] ToOrthonormal(Vector[] coords, double[] masses, int[] block, Vector[] PBlk) { if (HDebug.IsDebuggerAttached) #region check if elements in non-block are zeros. { int leng = coords.Length; foreach (int i in HEnum.HEnumCount(leng).HEnumExcept(block.HToHashSet())) { for (int r = 0; r < PBlk.Length; r++) { int c0 = i * 3; HDebug.Assert(PBlk[r][c0 + 0] == 0); HDebug.Assert(PBlk[r][c0 + 1] == 0); HDebug.Assert(PBlk[r][c0 + 2] == 0); } } } #endregion Matrix Pmat = new double[block.Length * 3, PBlk.Length]; for (int r = 0; r < PBlk.Length; r++) { for (int i = 0; i < block.Length; i++) { int i0 = i * 3; int c0 = block[i] * 3; Pmat[i0 + 0, r] = PBlk[r][c0 + 0]; Pmat[i0 + 1, r] = PBlk[r][c0 + 1]; Pmat[i0 + 2, r] = PBlk[r][c0 + 2]; } } using (new Matlab.NamedLock("")) { Matlab.PutValue("n", PBlk.Length); Matlab.PutMatrix("P", Pmat); Matlab.Execute("[U,S,V] = svd(P);"); Matlab.Execute("U = U(:,1:n);"); if (HDebug.IsDebuggerAttached) { Matlab.Execute("SV = S(1:n,1:n)*V';"); double err = Matlab.GetValue("max(max(abs(P - U*SV)))"); HDebug.Assert(Math.Abs(err) < 0.00000001); } Pmat = Matlab.GetMatrix("U"); } Vector[] PBlkOrth = new Vector[PBlk.Length]; for (int r = 0; r < PBlk.Length; r++) { Vector PBlkOrth_r = new double[PBlk[r].Size]; for (int i = 0; i < block.Length; i++) { int i0 = i * 3; int c0 = block[i] * 3; PBlkOrth_r[c0 + 0] = Pmat[i0 + 0, r]; PBlkOrth_r[c0 + 1] = Pmat[i0 + 1, r]; PBlkOrth_r[c0 + 2] = Pmat[i0 + 2, r]; } PBlkOrth[r] = PBlkOrth_r; } if (HDebug.IsDebuggerAttached) #region checi the orthonormal condition, and rot/trans condition (using ANM) { { // check if all trans/rot modes are orthonormal for (int i = 0; i < PBlkOrth.Length; i++) { HDebug.Exception(Math.Abs(PBlkOrth[i].Dist - 1) < 0.00000001); for (int j = i + 1; j < PBlkOrth.Length; j++) { double dot = LinAlg.VtV(PBlkOrth[i], PBlkOrth[j]); HDebug.Exception(Math.Abs(dot) < 0.00000001); } } } { // check if this is true rot/trans modes using ANM Vector[] anmcoords = coords.HClone(); int leng = coords.Length; foreach (int i in HEnum.HEnumCount(leng).HEnumExcept(block.HToHashSet())) { anmcoords[i] = null; } HessMatrix H = GetHessAnm(anmcoords, 100); Matrix PHP; using (new Matlab.NamedLock("")) { Matlab.PutSparseMatrix("H", H.GetMatrixSparse(), 3, 3); Matlab.PutMatrix("P", PBlkOrth.ToMatrix(true)); PHP = Matlab.GetMatrix("P'*H*P"); } double maxerr = PHP.HAbsMax(); HDebug.Exception(Math.Abs(maxerr) < 0.00000001); } } #endregion return(PBlkOrth); }
public static Vector[] GetRotate(Vector[] coords, Vector cent, int[] block) { throw new Exception("this implementation is wrong. Use the following algorithm to get rotation modes for RTB."); double[] io_mass = null; if (HDebug.IsDebuggerAttached) { using (var temp = new HTempDirectory(@"K:\temp\", null)) { temp.EnterTemp(); HFile.WriteAllText("rtbProjection.m", @" function [P, xyz] = rtbProjection(xyz, mass) % the approach is to find the inertia. compute the principal axes. and then use them to determine directly translation or rotation. n = size(xyz, 1); % n: the number of atoms if nargin == 1 mass = ones(n,1); end M = sum(mass); % find the mass center. m3 = repmat(mass, 1, 3); center = sum (xyz.*m3)/M; xyz = xyz - center(ones(n, 1), :); mwX = sqrt (m3).*xyz; inertia = sum(sum(mwX.^2))*eye(3) - mwX'*mwX; [V,D] = eig(inertia); tV = V'; % tV: transpose of V. Columns of V are principal axes. for i=1:3 trans{i} = tV(ones(n,1)*i, :); % the 3 translations are along principal axes end P = zeros(n*3, 6); for i=1:3 rotate{i} = cross(trans{i}, xyz); temp = mat2vec(trans{i}); P(:,i) = temp/norm(temp); temp = mat2vec(rotate{i}); P(:,i+3) = temp/norm(temp); end m3 = mat2vec(sqrt(m3)); P = repmat (m3(:),1,size(P,2)).*P; % now normalize columns of P P = P*diag(1./normMat(P,1)); function vec = mat2vec(mat) % convert a matrix to a vector, extracting data *row-wise*. vec = reshape(mat',1,prod(size(mat))); "); Matlab.Execute("cd \'" + temp.dirinfo.FullName + "\'"); Matlab.PutMatrix("xyz", coords.ToMatrix(false)); Matlab.PutVector("mass", io_mass); temp.QuitTemp(); } } HDebug.Assert(coords.Length == io_mass.Length); Vector mwcenter = new double[3]; for (int i = 0; i < coords.Length; i++) { mwcenter += (coords[i] * io_mass[i]); } mwcenter /= io_mass.Sum(); Vector[] mwcoords = new Vector[coords.Length]; for (int i = 0; i < coords.Length; i++) { mwcoords[i] = (coords[i] - mwcenter) * io_mass[i]; } Matrix mwPCA = new double[3, 3]; for (int i = 0; i < coords.Length; i++) { mwPCA += LinAlg.VVt(mwcoords[i], mwcoords[i]); } var V_D = LinAlg.Eig(mwPCA.ToArray()); var V = V_D.Item1; Vector[] rotvecs = new Vector[3]; for (int i = 0; i < 3; i++) { Vector rotaxis = new double[] { V[0, i], V[1, i], V[2, i] }; Vector[] rotveci = new Vector[coords.Length]; for (int j = 0; j < coords.Length; j++) { rotveci[j] = LinAlg.CrossProd(rotaxis, mwcoords[i]); } rotvecs[i] = rotveci.ToVector().UnitVector(); } if (HDebug.IsDebuggerAttached) { double dot01 = LinAlg.VtV(rotvecs[0], rotvecs[1]); double dot02 = LinAlg.VtV(rotvecs[0], rotvecs[2]); double dot12 = LinAlg.VtV(rotvecs[1], rotvecs[2]); HDebug.Assert(Math.Abs(dot01) < 0.0000001); HDebug.Assert(Math.Abs(dot02) < 0.0000001); HDebug.Assert(Math.Abs(dot12) < 0.0000001); } return(rotvecs); //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /// from song: rtbProjection.m //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /// function [P, xyz] = rtbProjection(xyz, mass) /// % the approach is to find the inertia. compute the principal axes. and then use them to determine directly translation or rotation. /// /// n = size(xyz, 1); % n: the number of atoms /// if nargin == 1 /// mass = ones(n,1); /// end /// /// M = sum(mass); /// % find the mass center. /// m3 = repmat(mass, 1, 3); /// center = sum (xyz.*m3)/M; /// xyz = xyz - center(ones(n, 1), :); /// /// mwX = sqrt (m3).*xyz; /// inertia = sum(sum(mwX.^2))*eye(3) - mwX'*mwX; /// [V,D] = eig(inertia); /// tV = V'; % tV: transpose of V. Columns of V are principal axes. /// for i=1:3 /// trans{i} = tV(ones(n,1)*i, :); % the 3 translations are along principal axes /// end /// P = zeros(n*3, 6); /// for i=1:3 /// rotate{i} = cross(trans{i}, xyz); /// temp = mat2vec(trans{i}); /// P(:,i) = temp/norm(temp); /// temp = mat2vec(rotate{i}); /// P(:,i+3) = temp/norm(temp); /// end /// m3 = mat2vec(sqrt(m3)); /// P = repmat (m3(:),1,size(P,2)).*P; /// % now normalize columns of P /// P = P*diag(1./normMat(P,1)); /// /// function vec = mat2vec(mat) /// % convert a matrix to a vector, extracting data *row-wise*. /// vec = reshape(mat',1,prod(size(mat))); //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /// rotx[t_ ] := { { 1,0,0,0},{ 0,Cos[t],-Sin[t],0},{ 0,Sin[t],Cos[t],0},{ 0,0,0,1} }; /// roty[t_ ] := { { Cos[t],0,Sin[t],0},{ 0,1,0,0},{ -Sin[t],0,Cos[t],0},{ 0,0,0,1} }; /// rotz[t_ ] := { { Cos[t],-Sin[t],0,0},{ Sin[t],Cos[t],0,0},{ 0,0,1,0},{ 0,0,0,1} }; /// tran[tx_, ty_, tz_] := { { 1,0,0,tx},{ 0,1,0,ty},{ 0,0,1,tz},{ 0,0,0,1} }; /// pt = Transpose[{{px,py,pz,1}}]; /// /// point : (px,py,pz) /// center : (cx,cy,cz) /// angle : t /// /// tran[cx, cy, cz].rotx[t].tran[-cx, -cy, -cz].pt = {{px}, {cy - cy Cos[t] + py Cos[t] + cz Sin[t] - pz Sin[t]}, {cz - cz Cos[t] + pz Cos[t] - cy Sin[t] + py Sin[t]}, {1}} /// tran[cx, cy, cz].roty[t].tran[-cx, -cy, -cz].pt = {{cx - cx Cos[t] + px Cos[t] - cz Sin[t] + pz Sin[t]}, {py}, {cz - cz Cos[t] + pz Cos[t] + cx Sin[t] - px Sin[t]}, {1}} /// tran[cx, cy, cz].rotz[t].tran[-cx, -cy, -cz].pt = {{cx - cx Cos[t] + px Cos[t] + cy Sin[t] - py Sin[t]}, {cy - cy Cos[t] + py Cos[t] - cx Sin[t] + px Sin[t]}, {pz}, {1}} /// /// D[tran[cx, cy, cz].rotx[t].tran[-cx, -cy, -cz].pt, t] = {{0}, {cz Cos[t] - pz Cos[t] + cy Sin[t] - py Sin[t]}, {-cy Cos[t] + py Cos[t] + cz Sin[t] - pz Sin[t]}, {0}} /// D[tran[cx, cy, cz].roty[t].tran[-cx, -cy, -cz].pt, t] = {{-cz Cos[t] + pz Cos[t] + cx Sin[t] - px Sin[t]}, {0}, {cx Cos[t] - px Cos[t] + cz Sin[t] - pz Sin[t]}, {0}} /// D[tran[cx, cy, cz].rotz[t].tran[-cx, -cy, -cz].pt, t] = {{cy Cos[t] - py Cos[t] + cx Sin[t] - px Sin[t]}, {-cx Cos[t] + px Cos[t] + cy Sin[t] - py Sin[t]}, {0}, {0}} /// /// D[tran[cx,cy,cz].rotx[a].tran[-cx,-cy,-cz].pt,a]/.a->0 = {{0}, {cz - pz}, {-cy + py}, {0}} /// D[tran[cx,cy,cz].roty[a].tran[-cx,-cy,-cz].pt,a]/.a->0 = {{-cz + pz}, {0}, {cx - px}, {0}} /// D[tran[cx,cy,cz].rotz[a].tran[-cx,-cy,-cz].pt,a]/.a->0 = {{cy - py}, {-cx + px}, {0}, {0}} /// rotx of atom (px,py,pz) with center (cx,cy,cz): {{0}, {cz - pz}, {-cy + py}, {0}} = { 0, cz - pz, -cy + py, 0 } => { 0, cz - pz, -cy + py } /// rotx of atom (px,py,pz) with center (cx,cy,cz): {{-cz + pz}, {0}, {cx - px}, {0}} = { -cz + pz, 0, cx - px, 0 } => { -cz + pz, 0, cx - px } /// rotx of atom (px,py,pz) with center (cx,cy,cz): {{cy - py}, {-cx + px}, {0}, {0}} = { cy - py, -cx + px, 0, 0 } => { cy - py, -cx + px, 0 } /// int leng = coords.Length; Vector[] rots; { Vector[] rotbyx = new Vector[leng]; Vector[] rotbyy = new Vector[leng]; Vector[] rotbyz = new Vector[leng]; double cx = cent[0]; double cy = cent[1]; double cz = cent[2]; for (int i = 0; i < leng; i++) { double px = coords[i][0]; double py = coords[i][1]; double pz = coords[i][2]; rotbyx[i] = new double[] { 0, cz - pz, -cy + py }; rotbyy[i] = new double[] { -cz + pz, 0, cx - px }; rotbyz[i] = new double[] { cy - py, -cx + px, 0 }; } rots = new Vector[] { rotbyx.ToVector().UnitVector(), rotbyy.ToVector().UnitVector(), rotbyz.ToVector().UnitVector(), }; } if (HDebug.IsDebuggerAttached) { Vector[] rotbyx = new Vector[leng]; Vector[] rotbyy = new Vector[leng]; Vector[] rotbyz = new Vector[leng]; Vector zeros = new double[3]; for (int i = 0; i < leng; i++) { rotbyx[i] = rotbyy[i] = rotbyz[i] = zeros; } Vector rx = new double[3] { 1, 0, 0 }; Vector ry = new double[3] { 0, 1, 0 }; Vector rz = new double[3] { 0, 0, 1 }; Func <Vector, Vector, Vector> GetTangent = delegate(Vector pt, Vector axisdirect) { /// Magnitude of rotation tangent is proportional to the distance from the point to the axis. /// Ex) when a point is in x-axis (r,0), rotating along z-axis by θ is: (r*sin(θ), 0) /// /// | /// | ^ sin(θ) /// | | /// -+-----------------r---------- /// Vector rot1 = cent; Vector rot2 = cent + axisdirect; double dist = Geometry.DistancePointLine(pt, rot1, rot2); Vector tan = Geometry.RotateTangentUnit(pt, rot1, rot2) * dist; return(tan); }; IEnumerable <int> enumblock = block; if (block != null) { enumblock = block; } else { enumblock = HEnum.HEnumCount(leng); } foreach (int i in enumblock) { Vector pt = coords[i]; rotbyx[i] = GetTangent(pt, rx); rotbyy[i] = GetTangent(pt, ry); rotbyz[i] = GetTangent(pt, rz); } Vector[] trots = new Vector[3] { rotbyx.ToVector().UnitVector(), rotbyy.ToVector().UnitVector(), rotbyz.ToVector().UnitVector(), }; double test0 = LinAlg.VtV(rots[0], trots[0]); double test1 = LinAlg.VtV(rots[1], trots[1]); double test2 = LinAlg.VtV(rots[2], trots[2]); HDebug.Assert(Math.Abs(test0 - 1) < 0.00000001); HDebug.Assert(Math.Abs(test1 - 1) < 0.00000001); HDebug.Assert(Math.Abs(test2 - 1) < 0.00000001); } return(rots); }
public static HessForcInfo GetCoarseHessForcSubSimple (object[] atoms , HessMatrix hess , Vector[] forc , List <int>[] lstNewIdxRemv , double thres_zeroblk , ILinAlg ila , bool cloneH , string[] options // { "pinv(D)" } ) { HessMatrix H = hess; Vector F = forc.ToVector(); if (cloneH) { H = H.CloneHess(); } bool process_disp_console = false; bool parallel = true; for (int iter = lstNewIdxRemv.Length - 1; iter >= 0; iter--) { //int[] ikeep = lstNewIdxRemv[iter].Item1; int[] iremv = lstNewIdxRemv[iter].ToArray(); int iremv_min = iremv.Min(); int iremv_max = iremv.Max(); HDebug.Assert(H.ColBlockSize == H.RowBlockSize); int blksize = H.ColBlockSize; //HDebug.Assert(ikeep.Max() < blksize); //HDebug.Assert(iremv.Max() < blksize); //HDebug.Assert(iremv.Max()+1 == blksize); //HDebug.Assert(iremv.Max() - iremv.Min() + 1 == iremv.Length); int[] idxkeep = HEnum.HEnumFromTo(0, iremv_min - 1).ToArray(); int[] idxremv = HEnum.HEnumFromTo(iremv_min, iremv_max).ToArray(); //HDebug.Assert(idxkeep.HUnionWith(idxremv).Length == blksize); IterInfo iterinfo = new IterInfo(); iterinfo.sizeHessBlkMat = idxremv.Max() + 1; // H.ColBlockSize; iterinfo.numAtomsRemoved = idxremv.Length; iterinfo.time0 = DateTime.UtcNow; //////////////////////////////////////////////////////////////////////////////////////// // make C sparse double C_density0; double C_density1; { double thres_absmax = thres_zeroblk; C_density0 = 0; List <Tuple <int, int> > lstIdxToMakeZero = new List <Tuple <int, int> >(); foreach (var bc_br_bval in H.EnumBlocksInCols(idxremv)) { int bc = bc_br_bval.Item1; int br = bc_br_bval.Item2; var bval = bc_br_bval.Item3; if (br >= iremv_min) { // bc_br is in D, not in C continue; } C_density0++; double absmax_bval = bval.HAbsMax(); if (absmax_bval < thres_absmax) { lstIdxToMakeZero.Add(new Tuple <int, int>(bc, br)); } } C_density1 = C_density0 - lstIdxToMakeZero.Count; foreach (var bc_br in lstIdxToMakeZero) { int bc = bc_br.Item1; int br = bc_br.Item2; HDebug.Assert(bc > br); var Cval = H.GetBlock(bc, br); var Dval = H.GetBlock(bc, bc); var Aval = H.GetBlock(br, br); var Bval = Cval.Tr(); H.SetBlock(bc, br, null); // nCval = Cval -Cval H.SetBlock(bc, bc, Dval + Cval); // nDval = Dval - (-Cval) = Dval + Cval // nBval = Bval -Bval H.SetBlock(br, br, Aval + Bval); // nAval = Aval - (-Bval) = Aval + Bval } iterinfo.numSetZeroBlock = lstIdxToMakeZero.Count; iterinfo.numNonZeroBlock = (int)C_density1; C_density0 /= (idxkeep.Length * idxremv.Length); C_density1 /= (idxkeep.Length * idxremv.Length); } //////////////////////////////////////////////////////////////////////////////////////// // get A, B, C, D HessMatrix A = H.SubMatrixByAtoms(false, idxkeep, idxkeep); HessMatrix B = H.SubMatrixByAtoms(false, idxkeep, idxremv); HessMatrix C = H.SubMatrixByAtoms(false, idxremv, idxkeep); HessMatrix D = H.SubMatrixByAtoms(false, idxremv, idxremv); Vector nF; Vector nG; { nF = new double[idxkeep.Length * 3]; nG = new double[idxremv.Length * 3]; for (int i = 0; i < idxkeep.Length * 3; i++) { nF[i] = F[i]; } for (int i = 0; i < idxremv.Length * 3; i++) { nG[i] = F[i + nF.Size]; } } Matlab.PutMatrix("A", A, true); Matlab.PutMatrix("B", B, true); Matlab.PutMatrix("C", C, true); Matlab.PutMatrix("D", D, true); Matlab.PutVector("F", nF); Matlab.PutVector("G", nG); //////////////////////////////////////////////////////////////////////////////////////// // Get B.inv(D).C // // var BInvDC_BInvDG = Get_BInvDC_BInvDG_WithSqueeze(C, D, nG, process_disp_console // , options // , thld_BinvDC: thres_zeroblk/lstNewIdxRemv.Length // , parallel: parallel // ); // HessMatrix B_invD_C = BInvDC_BInvDG.Item1; // Vector B_invD_G = BInvDC_BInvDG.Item2; // GC.Collect(0); Matlab.Execute("BinvD = B * inv(D);"); Matlab.Execute("clear B, D;"); Matlab.Execute("BinvDC = BinvD * C;"); Matlab.Execute("BinvDG = BinvD * G;"); //////////////////////////////////////////////////////////////////////////////////////// // Get A - B.inv(D).C // F - B.inv(D).G Matlab.Execute("HH = A - BinvDC;"); Matlab.Execute("FF = F - BinvDG;"); //////////////////////////////////////////////////////////////////////////////////////// // Replace A -> H H = Matlab.GetMatrix("HH", H.Zeros, true); F = Matlab.GetVector("FF"); Matlab.Execute("clear;"); { ValueTuple <HessMatrix, Vector> BBInvDDCC_BBInvDDGG = Get_BInvDC_BInvDG_Simple (C , D , nG , process_disp_console: process_disp_console , thld_BinvDC: thres_zeroblk / lstNewIdxRemv.Length , parallel: parallel ); HessMatrix HH = A - BBInvDDCC_BBInvDDGG.Item1; Vector FF = nF - BBInvDDCC_BBInvDDGG.Item2; double dbg_HH = (HH - H).HAbsMax(); double dbg_FF = (FF - F).ToArray().MaxAbs(); HDebug.Assert(Math.Abs(dbg_HH) < 0.00000001); HDebug.Assert(Math.Abs(dbg_FF) < 0.00000001); } { ValueTuple <HessMatrix, Vector> BBInvDDCC_BBInvDDGG = Get_BInvDC_BInvDG (C , D , nG , process_disp_console: process_disp_console , options: new string[0] , thld_BinvDC: thres_zeroblk / lstNewIdxRemv.Length , parallel: parallel ); HessMatrix HH = A - BBInvDDCC_BBInvDDGG.Item1; Vector FF = nF - BBInvDDCC_BBInvDDGG.Item2; double dbg_HH = (HH - H).HAbsMax(); double dbg_FF = (FF - F).ToArray().MaxAbs(); HDebug.Assert(Math.Abs(dbg_HH) < 0.00000001); HDebug.Assert(Math.Abs(dbg_FF) < 0.00000001); } { ValueTuple <HessMatrix, Vector> BBInvDDCC_BBInvDDGG = Get_BInvDC_BInvDG_WithSqueeze (C , D , nG , process_disp_console: process_disp_console , options: new string[0] , thld_BinvDC: thres_zeroblk / lstNewIdxRemv.Length , parallel: parallel ); HessMatrix HH = A - BBInvDDCC_BBInvDDGG.Item1; Vector FF = nF - BBInvDDCC_BBInvDDGG.Item2; double dbg_HH = (HH - H).HAbsMax(); double dbg_FF = (FF - F).ToArray().MaxAbs(); HDebug.Assert(Math.Abs(dbg_HH) < 0.00000001); HDebug.Assert(Math.Abs(dbg_FF) < 0.00000001); } GC.Collect(); } HDebug.Assert(H.ColSize == H.RowSize); HDebug.Assert(H.ColSize == F.Size); return(new HessForcInfo { hess = H, forc = F.ToVectors(3), }); }
public static HessInfoCoarseResiIter GetHessCoarseResiIter (Hess.HessInfo hessinfo , Vector[] coords , FuncGetIdxKeepListRemv GetIdxKeepListRemv , ILinAlg ila , double thres_zeroblk = 0.001 , IterOption iteropt = IterOption.Matlab_experimental , string[] options = null ) { bool rediag = true; HessMatrix H = null; List <int>[] lstNewIdxRemv = null; int numca = 0; double[] reMass = null; object[] reAtoms = null; Vector[] reCoords = null; Tuple <int[], int[][]> idxKeepRemv = null; //System.Console.WriteLine("begin re-indexing hess"); { object[] atoms = hessinfo.atoms; idxKeepRemv = GetIdxKeepListRemv(atoms, coords); int[] idxKeep = idxKeepRemv.Item1; int[][] idxsRemv = idxKeepRemv.Item2; { List <int> check = new List <int>(); check.AddRange(idxKeep); foreach (int[] idxRemv in idxsRemv) { check.AddRange(idxRemv); } check = check.HToHashSet().ToList(); if (check.Count != coords.Length) { throw new Exception("the re-index contains the duplicated atoms or the missing atoms"); } } List <int> idxs = new List <int>(); idxs.AddRange(idxKeep); foreach (int[] idxRemv in idxsRemv) { idxs.AddRange(idxRemv); } HDebug.Assert(idxs.Count == idxs.HToHashSet().Count); H = hessinfo.hess.ReshapeByAtom(idxs); numca = idxKeep.Length; reMass = hessinfo.mass.ToArray().HSelectByIndex(idxs); reAtoms = hessinfo.atoms.ToArray().HSelectByIndex(idxs); reCoords = coords.HSelectByIndex(idxs); int nidx = idxKeep.Length; lstNewIdxRemv = new List <int> [idxsRemv.Length]; for (int i = 0; i < idxsRemv.Length; i++) { lstNewIdxRemv[i] = new List <int>(); foreach (var idx in idxsRemv[i]) { lstNewIdxRemv[i].Add(nidx); nidx++; } } HDebug.Assert(nidx == lstNewIdxRemv.Last().Last() + 1); HDebug.Assert(nidx == idxs.Count); } GC.Collect(0); HDebug.Assert(numca == H.ColBlockSize - lstNewIdxRemv.HListCount().Sum()); //if(bool.Parse("false")) { if (bool.Parse("false")) #region { int[] idxKeep = idxKeepRemv.Item1; int[][] idxsRemv = idxKeepRemv.Item2; Pdb.Atom[] pdbatoms = hessinfo.atomsAsUniverseAtom.ListPdbAtoms(); Pdb.ToFile(@"C:\temp\coarse-keeps.pdb", pdbatoms.HSelectByIndex(idxKeep), false); if (HFile.Exists(@"C:\temp\coarse-graining.pdb")) { HFile.Delete(@"C:\temp\coarse-graining.pdb"); } foreach (int[] idxremv in idxsRemv.Reverse()) { List <Pdb.Element> delatoms = new List <Pdb.Element>(); foreach (int idx in idxremv) { if (pdbatoms[idx] == null) { continue; } string line = pdbatoms[idx].GetUpdatedLine(coords[idx]); Pdb.Atom delatom = Pdb.Atom.FromString(line); delatoms.Add(delatom); } Pdb.ToFile(@"C:\temp\coarse-graining.pdb", delatoms.ToArray(), true); } } #endregion if (bool.Parse("false")) #region { // export matrix to matlab, so the matrix can be checked in there. int[] idxca = HEnum.HEnumCount(numca).ToArray(); int[] idxoth = HEnum.HEnumFromTo(numca, coords.Length - 1).ToArray(); Matlab.Register(@"C:\temp\"); Matlab.PutSparseMatrix("H", H.GetMatrixSparse(), 3, 3); Matlab.Execute("figure; spy(H)"); Matlab.Clear(); } #endregion if (bool.Parse("false")) #region { HDirectory.CreateDirectory(@"K:\temp\$coarse-graining\"); { // export original hessian matrix List <int> cs = new List <int>(); List <int> rs = new List <int>(); foreach (ValueTuple <int, int, MatrixByArr> bc_br_bval in hessinfo.hess.EnumBlocks()) { cs.Add(bc_br_bval.Item1); rs.Add(bc_br_bval.Item2); } Matlab.Clear(); Matlab.PutVector("cs", cs.ToArray()); Matlab.PutVector("rs", rs.ToArray()); Matlab.Execute("hess = sparse(cs+1, rs+1, ones(size(cs)));"); Matlab.Execute("hess = float(hess);"); Matlab.Execute("figure; spy(hess)"); Matlab.Execute("cs = int32(cs+1);"); Matlab.Execute("rs = int32(rs+1);"); Matlab.Execute(@"save('K:\temp\$coarse-graining\hess-original.mat', 'cs', 'rs', '-v6');"); Matlab.Clear(); } { // export reshuffled hessian matrix List <int> cs = new List <int>(); List <int> rs = new List <int>(); foreach (ValueTuple <int, int, MatrixByArr> bc_br_bval in H.EnumBlocks()) { cs.Add(bc_br_bval.Item1); rs.Add(bc_br_bval.Item2); } Matlab.Clear(); Matlab.PutVector("cs", cs.ToArray()); Matlab.PutVector("rs", rs.ToArray()); Matlab.Execute("H = sparse(cs+1, rs+1, ones(size(cs)));"); Matlab.Execute("H = float(H);"); Matlab.Execute("figure; spy(H)"); Matlab.Execute("cs = int32(cs+1);"); Matlab.Execute("rs = int32(rs+1);"); Matlab.Execute(@"save('K:\temp\$coarse-graining\hess-reshuffled.mat', 'cs', 'rs', '-v6');"); Matlab.Clear(); } } #endregion if (bool.Parse("false")) #region { int[] idxca = HEnum.HEnumCount(numca).ToArray(); int[] idxoth = HEnum.HEnumFromTo(numca, coords.Length - 1).ToArray(); HessMatrix A = H.SubMatrixByAtoms(false, idxca, idxca); HessMatrix B = H.SubMatrixByAtoms(false, idxca, idxoth); HessMatrix C = H.SubMatrixByAtoms(false, idxoth, idxca); HessMatrix D = H.SubMatrixByAtoms(false, idxoth, idxoth); Matlab.Clear(); Matlab.PutSparseMatrix("A", A.GetMatrixSparse(), 3, 3); Matlab.PutSparseMatrix("B", B.GetMatrixSparse(), 3, 3); Matlab.PutSparseMatrix("C", C.GetMatrixSparse(), 3, 3); Matlab.PutSparseMatrix("D", D.GetMatrixSparse(), 3, 3); Matlab.Clear(); } #endregion } List <HessCoarseResiIterInfo> iterinfos = null; { object[] atoms = reAtoms; // reAtoms.HToType(null as Universe.Atom[]); CGetHessCoarseResiIterImpl info = null; switch (iteropt) { case IterOption.ILinAlg_20150329: info = GetHessCoarseResiIterImpl_ILinAlg_20150329(H, lstNewIdxRemv, thres_zeroblk, ila, false); break; case IterOption.ILinAlg: info = GetHessCoarseResiIterImpl_ILinAlg(H, lstNewIdxRemv, thres_zeroblk, ila, false); break; case IterOption.Matlab: info = GetHessCoarseResiIterImpl_Matlab(atoms, H, lstNewIdxRemv, thres_zeroblk, ila, false, options); break; case IterOption.Matlab_experimental: info = GetHessCoarseResiIterImpl_Matlab_experimental(atoms, H, lstNewIdxRemv, thres_zeroblk, ila, false, options); break; case IterOption.Matlab_IterLowerTri: info = GetHessCoarseResiIterImpl_Matlab_IterLowerTri(atoms, H, lstNewIdxRemv, thres_zeroblk, ila, false, options); break; case IterOption.LinAlg_IterLowerTri: info = GetHessCoarseResiIterImpl_LinAlg_IterLowerTri.Do(atoms, H, lstNewIdxRemv, thres_zeroblk, ila, false, options); break; } ; H = info.H; iterinfos = info.iterinfos; } //{ // var info = GetHessCoarseResiIterImpl_Matlab(H, lstNewIdxRemv, thres_zeroblk); // H = info.H; //} GC.Collect(0); if (HDebug.IsDebuggerAttached) { int nidx = 0; int[] ikeep = idxKeepRemv.Item1; foreach (int idx in ikeep) { bool equal = object.ReferenceEquals(hessinfo.atoms[idx], reAtoms[nidx]); if (equal == false) { HDebug.Assert(false); } HDebug.Assert(equal); nidx++; } } if (rediag) { H = H.CorrectHessDiag(); } //System.Console.WriteLine("finish fixing diag"); return(new HessInfoCoarseResiIter { hess = H, mass = reMass.HSelectCount(numca), atoms = reAtoms.HSelectCount(numca), coords = reCoords.HSelectCount(numca), numZeroEigval = 6, iterinfos = iterinfos, }); }
public static CGetHessCoarseResiIterImpl GetHessCoarseResiIterImpl_Matlab(HessMatrix H, List <int>[] lstNewIdxRemv, double thres_zeroblk) { HessMatrix CGH = null; List <HessCoarseResiIterInfo> iterinfos = new List <HessCoarseResiIterInfo>(); using (new Matlab.NamedLock("CGHessIter")) { Matlab.PutSparseMatrix("CG.H", H.GetMatrixSparse(), 3, 3); Matlab.PutValue("CG.th", thres_zeroblk); Matlab.PutValue("CG.iter", lstNewIdxRemv.Length); for (int iter = lstNewIdxRemv.Length - 1; iter >= 0; iter--) { int[] iremv = lstNewIdxRemv[iter].ToArray(); int[] idxkeep = HEnum.HEnumFromTo(0, iremv.Min() - 1).ToArray(); int[] idxremv = HEnum.HEnumFromTo(iremv.Min(), iremv.Max()).ToArray(); Matlab.PutVector("CG.idxkeep", idxkeep); Matlab.PutVector("CG.idxremv", idxremv); Matlab.Execute("CG.idxkeep = sort([CG.idxkeep*3+1; CG.idxkeep*3+2; CG.idxkeep*3+3]);"); Matlab.Execute("CG.idxremv = sort([CG.idxremv*3+1; CG.idxremv*3+2; CG.idxremv*3+3]);"); HessCoarseResiIterInfo iterinfo = new HessCoarseResiIterInfo(); iterinfo.sizeHessBlkMat = idxremv.Max() + 1; // H.ColBlockSize; iterinfo.numAtomsRemoved = idxremv.Length; iterinfo.idxkeep = idxkeep.HClone(); iterinfo.idxremv = idxremv.HClone(); iterinfo.time0 = DateTime.UtcNow; if (HDebug.IsDebuggerAttached) { int maxkeep = Matlab.GetValueInt("max(CG.idxkeep)"); int minremv = Matlab.GetValueInt("min(CG.idxremv)"); HDebug.Assert(maxkeep + 1 == minremv); int maxremv = Matlab.GetValueInt("max(CG.idxremv)"); int Hsize = Matlab.GetValueInt("max(size(CG.H))"); HDebug.Assert(Hsize == maxremv); int idxsize = Matlab.GetValueInt("length(union(CG.idxkeep,CG.idxremv))"); HDebug.Assert(Hsize == idxsize); } Matlab.Execute("CG.A = CG.H(CG.idxkeep, CG.idxkeep);"); Matlab.Execute("CG.B = CG.H(CG.idxkeep, CG.idxremv);"); //Matlab.Execute("CG.C = CG.H(CG.idxremv, CG.idxkeep);"); Matlab.Execute("CG.D = CG.H(CG.idxremv, CG.idxremv);"); HDebug.Assert(false); Matlab.Execute("CG.B(abs(CG.B) < CG.th) = 0;"); /// matlab cannot handle this call. Matlab try to use 20G memory. Matlab.Execute("CG.BDC = CG.B * inv(full(CG.D)) * CG.B';"); Matlab.Execute("CG.BDC = sparse(CG.BDC);"); Matlab.Execute("CG.BDC(abs(CG.BDC) < (CG.th / CG.iter)) = 0;"); Matlab.Execute("CG.H = CG.A - sparse(CG.BDC);"); iterinfo.numSetZeroBlock = -1; iterinfo.numNonZeroBlock = -1; iterinfo.numAddIgnrBlock = -1; iterinfo.usedMemoryByte = -1; iterinfo.time1 = DateTime.UtcNow; iterinfos.Add(iterinfo); System.Console.WriteLine(" - {0:000} : makezero {1,5}, nonzero {2,5}, numIgnMul {3,7}, numRemvAtoms {4,3}, {5,5:0.00} sec, {6} mb, {7}x{7}" , iter , iterinfo.numSetZeroBlock , iterinfo.numNonZeroBlock , iterinfo.numAddIgnrBlock , iterinfo.numAtomsRemoved , iterinfo.compSec , iterinfo.usedMemoryByte / (1024 * 1024) , (idxkeep.Length * 3) ); } Matrix CG_H = Matlab.GetMatrix("CG.H"); CGH = new HessMatrixDense { hess = CG_H }; } return(new CGetHessCoarseResiIterImpl { iterinfos = iterinfos, H = CGH, }); }
public void ChangeForm(HEnum.GeometryTyp pType) { Typ = pType; _typSettings.ChangeForm(Typ); _acceleration = _typSettings.Acceleration; _maxSpeed = _typSettings.Speed; }
public static CGetHessCoarseResiIterImpl GetHessCoarseResiIterImpl_Matlab_experimental (object[] atoms , HessMatrix H , List <int>[] lstNewIdxRemv , double thres_zeroblk , ILinAlg ila , bool cloneH , string[] options ) { ila = null; if (cloneH) { H = H.CloneHess(); } bool process_disp_console = true; if (options != null && options.Contains("print process")) { process_disp_console = true; } bool parallel = true; GC.Collect(0); DateTime[] process_time = new DateTime[6]; //System.Console.WriteLine("begin coarse-graining"); List <HessCoarseResiIterInfo> iterinfos = new List <HessCoarseResiIterInfo>(); for (int iter = lstNewIdxRemv.Length - 1; iter >= 0; iter--) { if (process_disp_console) { process_time[0] = DateTime.UtcNow; System.Console.Write(" - {0:000} : ", iter); } //int[] ikeep = lstNewIdxRemv[iter].Item1; int[] iremv = lstNewIdxRemv[iter].ToArray(); HDebug.Assert(H.ColBlockSize == H.RowBlockSize); int blksize = H.ColBlockSize; //HDebug.Assert(ikeep.Max() < blksize); //HDebug.Assert(iremv.Max() < blksize); //HDebug.Assert(iremv.Max()+1 == blksize); //HDebug.Assert(iremv.Max() - iremv.Min() + 1 == iremv.Length); int[] idxkeep = HEnum.HEnumFromTo(0, iremv.Min() - 1).ToArray(); int[] idxremv = HEnum.HEnumFromTo(iremv.Min(), iremv.Max()).ToArray(); //HDebug.Assert(idxkeep.HUnionWith(idxremv).Length == blksize); HessCoarseResiIterInfo iterinfo = new HessCoarseResiIterInfo(); iterinfo.sizeHessBlkMat = idxremv.Max() + 1; // H.ColBlockSize; iterinfo.numAtomsRemoved = idxremv.Length; iterinfo.time0 = DateTime.UtcNow; double C_density0 = double.NaN; double C_density1 = double.NaN; { //HessMatrix A = H.SubMatrixByAtoms(false, idxkeep, idxkeep); HessMatrix A = H; //HessMatrix B = H.SubMatrixByAtoms(false, idxkeep, idxremv); HessMatrix C, D; /// HessMatrix C = H.SubMatrixByAtoms(false, idxremv, idxkeep, parallel:parallel); /// HessMatrix D = H.SubMatrixByAtoms(false, idxremv, idxremv, parallel:parallel); { C = H.Zeros(idxremv.Length * 3, idxkeep.Length * 3); D = H.Zeros(idxremv.Length * 3, idxremv.Length * 3); int iremv_min = iremv.Min(); int iremv_max = iremv.Max(); foreach (var bc_br_bval in H.EnumBlocksInCols(idxremv)) { int bc = bc_br_bval.Item1; int br = bc_br_bval.Item2; var bval = bc_br_bval.Item3; if (bc > iremv_max) { continue; } if (br > iremv_max) { continue; } if (br < iremv_min) { int nc = bc - iremv_min; int nr = br; C.SetBlock(nc, nr, bval.CloneT()); } else { int nc = bc - iremv_min; int nr = br - iremv_min; D.SetBlock(nc, nr, bval.CloneT()); } } } if (process_disp_console) { process_time[1] = process_time[2] = DateTime.UtcNow; System.Console.Write("CD({0:00.00} min), ", (process_time[2] - process_time[0]).TotalMinutes); } // make B,C sparse //int B_cntzero = B.MakeNearZeroBlockAsZero(thres_zeroblk); C_density0 = C.RatioUsedBlocks; /// iterinfo.numSetZeroBlock = C.MakeNearZeroBlockAsZero(thres_zeroblk); { double thres_absmax = thres_zeroblk; List <Tuple <int, int> > lstIdxToMakeZero = new List <Tuple <int, int> >(); foreach (var bc_br_bval in C.EnumBlocks()) { int bc = bc_br_bval.Item1; int br = bc_br_bval.Item2; var bval = bc_br_bval.Item3; double absmax_bval = bval.HAbsMax(); if (absmax_bval < thres_absmax) { lstIdxToMakeZero.Add(new Tuple <int, int>(bc, br)); } } foreach (var bc_br in lstIdxToMakeZero) { int cc = bc_br.Item1; int cr = bc_br.Item2; var Cval = C.GetBlock(cc, cr); C.SetBlock(cc, cr, null); var Dval = D.GetBlock(cc, cc); // nCval = Cval -Cval D.SetBlock(cc, cc, Dval + Cval); // nDval = Dval - (-Cval) = Dval + Cval int bc = cr; int br = cc; var Bval = Cval.Tr(); var Aval = A.GetBlock(bc, bc); // nBval = Bval -Bval A.SetBlock(bc, bc, Aval + Bval); // nAval = Aval - (-Bval) = Aval + Bval } iterinfo.numSetZeroBlock = lstIdxToMakeZero.Count; } //int B_nzeros = B.NumUsedBlocks; double B_nzeros_ = Math.Sqrt(B_nzeros); iterinfo.numNonZeroBlock = C.NumUsedBlocks; C_density1 = C.RatioUsedBlocks; HessMatrix B_invD_C = Get_BInvDC(A, C, D, process_disp_console , options , parallel: parallel ); if (process_disp_console) { process_time[4] = DateTime.UtcNow; System.Console.Write("B.invD.C({0:00.00} min), ", (process_time[4] - process_time[3]).TotalMinutes); } /// iterinfo.numAddIgnrBlock = A.UpdateAdd(B_invD_C, -1, null, thres_zeroblk/lstNewIdxRemv.Length, parallel:parallel); { HessMatrix _this = A; HessMatrix other = B_invD_C; double thres_NearZeroBlock = thres_zeroblk / lstNewIdxRemv.Length; int count = 0; int count_ignored = 0; foreach (var bc_br_bval in other.EnumBlocks()) { count++; int bc = bc_br_bval.Item1; int br = bc_br_bval.Item2; MatrixByArr other_bmat = bc_br_bval.Item3; if (other_bmat.HAbsMax() <= thres_NearZeroBlock) { // other_bmat = other_bmat -other_bmat; // other_diag = other_diag - (-other_bmat) = other_diag + other_bmat; // this_diag = this_diat - B_invD_C // = this_diat - other_diag // = this_diat - (other_diag + other_bmat) // = this_diat - other_diag - other_bmat // = (this_diat - other_bmat) - other_diag // = (this_diat - other_bmat) - (processed later) // = (this_diat - other_bmat) MatrixByArr this_diag = _this.GetBlock(bc, bc); MatrixByArr new_diag = this_diag - other_bmat; _this.SetBlock(bc, bc, new_diag); other_bmat = null; count_ignored++; } if (other_bmat != null) { MatrixByArr this_bmat = _this.GetBlock(bc, br); MatrixByArr new_bmat = this_bmat - other_bmat; _this.SetBlock(bc, br, new_bmat); } } iterinfo.numAddIgnrBlock = count_ignored; } //HessMatrix nH = A - B_invD_C; //nH = ((nH + nH.Tr())/2).ToHessMatrix(); H = A; } iterinfo.usedMemoryByte = GC.GetTotalMemory(false); iterinfo.time1 = DateTime.UtcNow; iterinfos.Add(iterinfo); if (process_disp_console) { System.Console.WriteLine("summary(makezero {0,5}, nonzero {1,5}, numIgnMul {2,7}, numRemvAtoms {3,3}, {4,5:0.00} sec, {5} mb, {6}x{6}, nzeroBlk/Atom {7:0.00})" , iterinfo.numSetZeroBlock , iterinfo.numNonZeroBlock , iterinfo.numAddIgnrBlock , iterinfo.numAtomsRemoved , iterinfo.compSec , iterinfo.usedMemoryByte / (1024 * 1024) , (idxkeep.Length * 3) , ((double)iterinfo.numNonZeroBlock / idxremv.Length) ); } GC.Collect(0); } int numca = H.ColBlockSize - lstNewIdxRemv.HListCount().Sum(); //System.Console.WriteLine("finish coarse-graining"); { int[] idxkeep = HEnum.HEnumCount(numca).ToArray(); H = H.SubMatrixByAtoms(false, idxkeep, idxkeep, false); } { H.MakeNearZeroBlockAsZero(thres_zeroblk); } GC.Collect(0); //System.Console.WriteLine("finish resizing"); return(new CGetHessCoarseResiIterImpl { iterinfos = iterinfos, H = H, }); }