def sliceVector(vector, atoms, select): """Return part of the *vector* for *atoms* matching *select*. Note that returned :class:`.Vector` instance is not normalized. :arg vector: vector instance to be sliced :type vector: :class:`.VectorBase` :arg atoms: atoms for which *vector* describes a deformation, motion, etc. :type atoms: :class:`.Atomic` :arg select: an atom selection or a selection string :type select: :class:`.Selection`, str :returns: (:class:`.Vector`, :class:`.Selection`)""" if not isinstance(vector, VectorBase): raise TypeError('vector must be a VectorBase instance, not {0:s}' .format(type(vector))) if not isinstance(atoms, Atomic): raise TypeError('atoms must be an Atomic instance, not {0:s}' .format(type(atoms))) if atoms.numAtoms() != vector.numAtoms(): raise ValueError('number of atoms in model and atoms must be equal') if isinstance(select, str): selstr = select if isinstance(atoms, AtomGroup): sel = atoms.select(selstr) which = sel._getIndices() else: which = SELECT.getIndices(atoms, selstr) sel = Selection(atoms.getAtomGroup(), atoms.getIndices()[which], selstr, atoms.getACSIndex()) elif isinstance(select, AtomSubset): sel = select if isinstance(atoms, AtomGroup): if sel.getAtomGroup() != atoms: raise ValueError('select and atoms do not match') which = sel._getIndices() else: if atoms.getAtomGroup() != sel.getAtomGroup(): raise ValueError('select and atoms do not match') elif not sel in atoms: raise ValueError('select is not a subset of atoms') idxset = set(atoms._getIndices()) which = np.array([idx in idxset for idx in sel._getIndices()]) which = which.nonzero()[0] selstr = sel.getSelstr() else: raise TypeError('select must be a string or a Selection instance') vec = Vector(vector.getArrayNx3()[ which, :].flatten(), '{0:s} slice {1:s}'.format(str(vector), repr(selstr)), vector.is3d()) return (vec, sel)
def sliceVector(vector, atoms, select): """Return part of the *vector* for *atoms* matching *select*. Note that returned :class:`.Vector` instance is not normalized. :arg vector: vector instance to be sliced :type vector: :class:`.VectorBase` :arg atoms: atoms for which *vector* describes a deformation, motion, etc. :type atoms: :class:`.Atomic` :arg select: an atom selection or a selection string :type select: :class:`.Selection`, str :returns: (:class:`.Vector`, :class:`.Selection`)""" if not isinstance(vector, VectorBase): raise TypeError('vector must be a VectorBase instance, not {0}' .format(type(vector))) if not isinstance(atoms, Atomic): raise TypeError('atoms must be an Atomic instance, not {0}' .format(type(atoms))) if atoms.numAtoms() != vector.numAtoms(): raise ValueError('number of atoms in model and atoms must be equal') if isinstance(select, str): selstr = select if isinstance(atoms, AtomGroup): sel = atoms.select(selstr) which = sel._getIndices() else: which = SELECT.getIndices(atoms, selstr) sel = Selection(atoms.getAtomGroup(), atoms.getIndices()[which], selstr, atoms.getACSIndex()) elif isinstance(select, AtomSubset): sel = select if isinstance(atoms, AtomGroup): if sel.getAtomGroup() != atoms: raise ValueError('select and atoms do not match') which = sel._getIndices() else: if atoms.getAtomGroup() != sel.getAtomGroup(): raise ValueError('select and atoms do not match') elif not sel in atoms: raise ValueError('select is not a subset of atoms') idxset = set(atoms._getIndices()) which = np.array([idx in idxset for idx in sel._getIndices()]) which = which.nonzero()[0] selstr = sel.getSelstr() else: raise TypeError('select must be a string or a Selection instance') vec = Vector(vector.getArrayNx3()[ which, :].flatten(), '{0} slice {1}'.format(str(vector), repr(selstr)), vector.is3d()) return (vec, sel)
def reduceModel(model, atoms, select): """Return reduced NMA model. Reduces a :class:`.NMA` model to a subset of *atoms* matching *select*. This function behaves differently depending on the type of the *model* argument. For :class:`.ANM` and :class:`.GNM` or other :class:`.NMA` models, force constant matrix for system of interest (specified by the *select*) is derived from the force constant matrix for the *model* by assuming that for any given displacement of the system of interest, other atoms move along in such a way as to minimize the potential energy. This is based on the formulation in [KH00]_. For :class:`.PCA` models, this function simply takes the sub-covariance matrix for selection. .. [KH00] Konrad H, Andrei-Jose P, Serge D, Marie-Claire BF, Gerald RK. Harmonicity in slow protein dynamics. *Chem Phys* **2000** 261:25-37. :arg model: dynamics model :type model: :class:`.ANM`, :class:`.GNM`, or :class:`.PCA` :arg atoms: atoms that were used to build the model :type atoms: :class:`.Atomic` :arg select: an atom selection or a selection string :type select: :class:`.Selection`, str :returns: (:class:`.NMA`, :class:`.Selection`)""" linalg = importLA() if not isinstance(model, NMA): raise TypeError('model must be an NMA instance, not {0}' .format(type(model))) if not isinstance(atoms, (AtomGroup, AtomSubset, AtomMap)): raise TypeError('atoms type is not valid') if len(atoms) <= 1: raise TypeError('atoms must contain more than 1 atoms') if isinstance(model, GNM): matrix = model._kirchhoff elif isinstance(model, ANM): matrix = model._hessian elif isinstance(model, PCA): matrix = model._cov else: raise TypeError('model does not have a valid type derived from NMA') if matrix is None: raise ValueError('model matrix (Hessian/Kirchhoff/Covariance) is not ' 'built') if isinstance(select, str): system = SELECT.getBoolArray(atoms, select) n_sel = sum(system) if n_sel == 0: raise ValueError('select matches 0 atoms') if len(atoms) == n_sel: raise ValueError('select matches all atoms') if isinstance(atoms, AtomGroup): ag = atoms which = np.arange(len(atoms))[system] else: ag = atoms.getAtomGroup() which = atoms._getIndices()[system] sel = Selection(ag, which, select, atoms.getACSIndex()) elif isinstance(select, AtomSubset): sel = select if isinstance(atoms, AtomGroup): if sel.getAtomGroup() != atoms: raise ValueError('select and atoms do not match') system = np.zeros(len(atoms), bool) system[sel._getIndices()] = True else: if atoms.getAtomGroup() != sel.getAtomGroup(): raise ValueError('select and atoms do not match') elif not sel in atoms: raise ValueError('select is not a subset of atoms') idxset = set(atoms._getIndices()) system = np.array([idx in idxset for idx in sel._getIndices()]) else: raise TypeError('select must be a string or a Selection instance') other = np.invert(system) if model.is3d(): system = np.tile(system, (3, 1)).transpose().flatten() other = np.tile(other, (3, 1)).transpose().flatten() ss = matrix[system, :][:, system] if isinstance(model, PCA): eda = PCA(model.getTitle() + ' reduced') eda.setCovariance(ss) return eda, system so = matrix[system, :][:, other] os = matrix[other, :][:, system] oo = matrix[other, :][:, other] matrix = ss - np.dot(so, np.dot(linalg.inv(oo), os)) if isinstance(model, GNM): gnm = GNM(model.getTitle() + ' reduced') gnm.setKirchhoff(matrix) return gnm, sel elif isinstance(model, ANM): anm = ANM(model.getTitle() + ' reduced') anm.setHessian(matrix) return anm, sel elif isinstance(model, PCA): eda = PCA(model.getTitle() + ' reduced') eda.setCovariance(matrix) return eda, sel
def sliceModel(model, atoms, select): """Return a part of the *model* for *atoms* matching *select*. Note that normal modes (eigenvectors) are not normalized. :arg mode: NMA model instance to be sliced :type mode: :class:`.NMA` :arg atoms: atoms for which the *model* was built :type atoms: :class:`.Atomic` :arg select: an atom selection or a selection string :type select: :class:`.Selection`, str :returns: (:class:`.NMA`, :class:`.Selection`)""" if not isinstance(model, NMA): raise TypeError('mode must be a NMA instance, not {0:s}' .format(type(model))) if not isinstance(atoms, Atomic): raise TypeError('atoms must be an Atomic instance, not {0:s}' .format(type(atoms))) if atoms.numAtoms() != model.numAtoms(): raise ValueError('number of atoms in model and atoms must be equal') array = model._getArray() if isinstance(select, str): selstr = select if isinstance(atoms, AtomGroup): sel = atoms.select(selstr) which = sel.getIndices() else: which = SELECT.getIndices(atoms, selstr) sel = Selection(atoms.getAtomGroup(), atoms.getIndices()[which], selstr, atoms.getACSIndex()) elif isinstance(select, AtomSubset): sel = select if isinstance(atoms, AtomGroup): if sel.getAtomGroup() != atoms: raise ValueError('select and atoms do not match') which = sel._getIndices() else: if atoms.getAtomGroup() != sel.getAtomGroup(): raise ValueError('select and atoms do not match') elif not sel in atoms: raise ValueError('select is not a subset of atoms') idxset = set(atoms._getIndices()) which = np.array([idx in idxset for idx in sel._getIndices()]) which = which.nonzero()[0] selstr = sel.getSelstr() else: raise TypeError('select must be a string or a Selection instance') nma = type(model)('{0:s} slice {1:s}' .format(model.getTitle(), repr(selstr))) if model.is3d(): which = [which.reshape((len(which),1))*3] which.append(which[0]+1) which.append(which[0]+2) which = np.concatenate(which, 1).flatten() nma.setEigens( array[which, :], model.getEigvals() ) return (nma, sel)
def sliceMode(mode, atoms, select): """Return part of the *mode* for *atoms* matching *select*. This works slightly different from :func:`.sliceVector`. Mode array (eigenvector) is multiplied by square-root of the variance along the mode. If mode is from an elastic network model, variance is defined as the inverse of the eigenvalue. Note that returned :class:`~.Vector` instance is not normalized. :arg mode: mode instance to be sliced :type mode: :class:`.Mode` :arg atoms: atoms for which *mode* describes a deformation, motion, etc. :type atoms: :class:`.Atomic` :arg select: an atom selection or a selection string :type select: :class:`.Selection`, str :returns: (:class:`~.Vector`, :class:`~.Selection`)""" if not isinstance(mode, Mode): raise TypeError('mode must be a Mode instance, not {0:s}' .format(type(mode))) if not isinstance(atoms, Atomic): raise TypeError('atoms must be an Atomic instance, not {0:s}' .format(type(atoms))) if atoms.numAtoms() != mode.numAtoms(): raise ValueError('number of atoms in model and atoms must be equal') if isinstance(select, str): selstr = select if isinstance(atoms, AtomGroup): sel = atoms.select(selstr) which = sel._getIndices() else: which = SELECT.getIndices(atoms, selstr) sel = Selection(atoms.getAtomGroup(), atoms.getIndices()[which], selstr, atoms.getACSIndex()) elif isinstance(select, AtomSubset): sel = select if isinstance(atoms, AtomGroup): if sel.getAtomGroup() != atoms: raise ValueError('select and atoms do not match') which = sel._getIndices() else: if atoms.getAtomGroup() != sel.getAtomGroup(): raise ValueError('select and atoms do not match') elif not sel in atoms: raise ValueError('select is not a subset of atoms') idxset = set(atoms._getIndices()) which = np.array([idx in idxset for idx in sel._getIndices()]) which = which.nonzero()[0] selstr = sel.getSelstr() else: raise TypeError('select must be a string or a Selection instance') vec = Vector(mode.getArrayNx3()[ which,:].flatten() * mode.getVariance()**0.5, '{0:s} slice {1:s}'.format(str(mode), repr(selstr)), mode.is3d()) return (vec, sel)
def sliceModel(model, atoms, select): """Return a part of the *model* for *atoms* matching *select*. Note that normal modes (eigenvectors) are not normalized. :arg mode: NMA model instance to be sliced :type mode: :class:`.NMA` :arg atoms: atoms for which the *model* was built :type atoms: :class:`.Atomic` :arg select: an atom selection or a selection string :type select: :class:`.Selection`, str :returns: (:class:`.NMA`, :class:`.Selection`)""" if not isinstance(model, NMA): raise TypeError('mode must be a NMA instance, not {0}' .format(type(model))) if not isinstance(atoms, Atomic): raise TypeError('atoms must be an Atomic instance, not {0}' .format(type(atoms))) if atoms.numAtoms() != model.numAtoms(): raise ValueError('number of atoms in model and atoms must be equal') array = model._getArray() if isinstance(select, str): selstr = select if isinstance(atoms, AtomGroup): sel = atoms.select(selstr) which = sel.getIndices() else: which = SELECT.getIndices(atoms, selstr) sel = Selection(atoms.getAtomGroup(), atoms.getIndices()[which], selstr, atoms.getACSIndex()) elif isinstance(select, AtomSubset): sel = select if isinstance(atoms, AtomGroup): if sel.getAtomGroup() != atoms: raise ValueError('select and atoms do not match') which = sel._getIndices() else: if atoms.getAtomGroup() != sel.getAtomGroup(): raise ValueError('select and atoms do not match') elif not sel in atoms: raise ValueError('select is not a subset of atoms') idxset = set(atoms._getIndices()) which = np.array([idx in idxset for idx in sel._getIndices()]) which = which.nonzero()[0] selstr = sel.getSelstr() else: raise TypeError('select must be a string or a Selection instance') nma = type(model)('{0} slice {1}' .format(model.getTitle(), repr(selstr))) if model.is3d(): which = [which.reshape((len(which), 1))*3] which.append(which[0]+1) which.append(which[0]+2) which = np.concatenate(which, 1).flatten() nma.setEigens(array[which, :], model.getEigvals()) return (nma, sel)
def sliceMode(mode, atoms, select): """Return part of the *mode* for *atoms* matching *select*. This works slightly different from :func:`.sliceVector`. Mode array (eigenvector) is multiplied by square-root of the variance along the mode. If mode is from an elastic network model, variance is defined as the inverse of the eigenvalue. Note that returned :class:`.Vector` instance is not normalized. :arg mode: mode instance to be sliced :type mode: :class:`.Mode` :arg atoms: atoms for which *mode* describes a deformation, motion, etc. :type atoms: :class:`.Atomic` :arg select: an atom selection or a selection string :type select: :class:`.Selection`, str :returns: (:class:`.Vector`, :class:`.Selection`)""" if not isinstance(mode, Mode): raise TypeError('mode must be a Mode instance, not {0}' .format(type(mode))) if not isinstance(atoms, Atomic): raise TypeError('atoms must be an Atomic instance, not {0}' .format(type(atoms))) if atoms.numAtoms() != mode.numAtoms(): raise ValueError('number of atoms in model and atoms must be equal') if isinstance(select, str): selstr = select if isinstance(atoms, AtomGroup): sel = atoms.select(selstr) which = sel._getIndices() else: which = SELECT.getIndices(atoms, selstr) sel = Selection(atoms.getAtomGroup(), atoms.getIndices()[which], selstr, atoms.getACSIndex()) elif isinstance(select, AtomSubset): sel = select if isinstance(atoms, AtomGroup): if sel.getAtomGroup() != atoms: raise ValueError('select and atoms do not match') which = sel._getIndices() else: if atoms.getAtomGroup() != sel.getAtomGroup(): raise ValueError('select and atoms do not match') elif not sel in atoms: raise ValueError('select is not a subset of atoms') idxset = set(atoms._getIndices()) which = np.array([idx in idxset for idx in sel._getIndices()]) which = which.nonzero()[0] selstr = sel.getSelstr() else: raise TypeError('select must be a string or a Selection instance') vec = Vector(mode.getArrayNx3()[which, :].flatten() * mode.getVariance()**0.5, '{0} slice {1}'.format(str(mode), repr(selstr)), mode.is3d()) return (vec, sel)