From dc1b088eb8348266b04dc6730fdd37cace56d7b0 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Wed, 26 Jun 2024 15:11:58 -0500 Subject: [PATCH 01/23] implement angles between two vectors as new cv --- docs/source/module-pysages-colvars-angles.rst | 1 + pysages/colvars/angles.py | 50 +++++++++++++++++++ 2 files changed, 51 insertions(+) diff --git a/docs/source/module-pysages-colvars-angles.rst b/docs/source/module-pysages-colvars-angles.rst index 2b3a279a..7cf25440 100644 --- a/docs/source/module-pysages-colvars-angles.rst +++ b/docs/source/module-pysages-colvars-angles.rst @@ -7,6 +7,7 @@ Angles as collective variables pysages.colvars.angles.Angle pysages.colvars.angles.DihedralAngle + pysages.colvars.angles.VectorAngle pysages.colvars.angles.RingPuckeringCoordinates pysages.colvars.angles.RingPhaseAngle pysages.colvars.angles.RingAmplitude diff --git a/pysages/colvars/angles.py b/pysages/colvars/angles.py index 2c9c2cdf..d7f97e40 100644 --- a/pysages/colvars/angles.py +++ b/pysages/colvars/angles.py @@ -128,6 +128,56 @@ def dihedral_angle(p1, p2, p3, p4): return np.arctan2(np.dot(np.cross(r, s), q), np.dot(r, s) * linalg.norm(q)) +class VectorAngle(FourPointCV): + """ + Compute the angle formed by two vectors (four points). + Notice that the two vectors are defined as p1->p2, p3->p4. + """ + + @property + def function(self): + """ + Returns + -------- + Functions that calculates the angle value from a simulation snapshot. + """ + return vector_angle + + +def vector_angle(p1, p2, p3, p4): + r""" + Calculates angle between two vectors (4 points) in space. + + Takes 4 positions in space and calculates the angle between them. + + :math:`\vec{q} = \vec{p}_2 - \vec{p}_1` + + :math:`\vec{r} = \vec{p}_4 - \vec{p}_3` + + :math:`\theta = \arctan(|\vec{q} \times \vec{r}|, \vec{q} \cdot \vec{r})` + + Parameters + ---------- + p1: jax.Array + :math:`\vec{p}_1` 3D vector in space + p2: jax.Array + :math:`\vec{p}_2` 3D vector in space + p3: jax.Array + :math:`\vec{p}_3` 3D vector in space + p4: jax.Array + :math:`\vec{p}_3` 3D vector in space + + Returns + ------- + float + :math:`\theta` + """ + + q = p2 - p1 + r = p4 - p3 + return np.arctan2(linalg.norm(np.cross(q, r)), np.dot(q, r)) + + @multicomponent class RingPuckeringCoordinates(CollectiveVariable): """ From 112ebfe1393c6e45db1893946527da27d5aaf263 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Sat, 6 Jul 2024 19:23:00 -0500 Subject: [PATCH 02/23] Initial implementation of Q (still has nan deriv) --- examples/openmm/cv_Q/Q_comparison.png | Bin 0 -> 113617 bytes examples/openmm/cv_Q/check_Q.py | 50 ++++++++ examples/openmm/cv_Q/check_force.py | 47 ++++++++ examples/openmm/cv_Q/contact_pairs.npy | Bin 0 -> 70096 bytes .../openmm/cv_Q/contact_pairs_remapped.npy | Bin 0 -> 70096 bytes examples/openmm/cv_Q/log | 101 ++++++++++++++++ examples/openmm/cv_Q/plot_q.py | 24 ++++ examples/openmm/cv_Q/state.pkl | Bin 0 -> 494701 bytes examples/openmm/cv_Q/unbiased.py | 91 ++++++++++++++ pysages/colvars/contacts.py | 111 ++++++++++++++++++ 10 files changed, 424 insertions(+) create mode 100644 examples/openmm/cv_Q/Q_comparison.png create mode 100644 examples/openmm/cv_Q/check_Q.py create mode 100644 examples/openmm/cv_Q/check_force.py create mode 100644 examples/openmm/cv_Q/contact_pairs.npy create mode 100644 examples/openmm/cv_Q/contact_pairs_remapped.npy create mode 100644 examples/openmm/cv_Q/log create mode 100644 examples/openmm/cv_Q/plot_q.py create mode 100644 examples/openmm/cv_Q/state.pkl create mode 100644 examples/openmm/cv_Q/unbiased.py create mode 100644 pysages/colvars/contacts.py diff --git a/examples/openmm/cv_Q/Q_comparison.png b/examples/openmm/cv_Q/Q_comparison.png new file mode 100644 index 0000000000000000000000000000000000000000..c43e3155cddb215b0f59912ec47de9898f62ed0b GIT binary patch literal 113617 zcmeFZcT`ka*YJrCt#-ExjVL+Tpdcd9BmoO3YzbljktA6`asifTkwa@M8B{=&sG#Ij zgaXO7KmjVC2ow}SDG35aSwNA)>|4e2e6!X!@3&^neE-a>*VVyQ_ug~Q*=L`<_u2b* 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--git a/examples/openmm/cv_Q/plot_q.py b/examples/openmm/cv_Q/plot_q.py new file mode 100644 index 00000000..d619d025 --- /dev/null +++ b/examples/openmm/cv_Q/plot_q.py @@ -0,0 +1,24 @@ +import matplotlib.pyplot as plt +import numpy as np + +a = np.loadtxt("Q.txt") + +b = np.loadtxt("Q_posthoc.txt") + +mi, ma = np.min(a), np.max(a) + +plt.figure(figsize=(5, 5)) + +plt.scatter(a[1::], b[:-1], alpha=0.5) +# plt.plot(a[1::], '-o') +# plt.plot(b[:-1], '-o') + +plt.plot([mi * 0.999, ma * 1.001], [mi * 0.999, ma * 1.001]) + +plt.xlim(mi * 0.999, ma * 1.001) + +plt.ylim(mi * 0.999, ma * 1.001) +plt.xlabel("Q from pysages", fontsize=15) +plt.ylabel("Q from post-hoc calculation", fontsize=15) +plt.savefig("Q_comparison.png", dpi=300) +plt.show() diff --git a/examples/openmm/cv_Q/state.pkl b/examples/openmm/cv_Q/state.pkl new file mode 100644 index 0000000000000000000000000000000000000000..93388932f3099802eb2c2b34e93dafaa87f4e1ee GIT binary patch literal 494701 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zRX#7CBB>lB;>iA7rf-CoMRlPwzv*;*(qliyGiV>Cm|^hwLRi7$;~wd zDcPa!PIj?Z+dlSFTwH>Z0pe1WW;!#NNkwB+qB1$GGbgziq-`)mXhMQHY0{{apX$vPtwg>A;z&JH%PkxkT)QEW@~}t0z3iis{K`}zgg7LjIL#T(vR}>t z4$_03^rEP?Vic#cdr*a{bP{)_3kgWb@8mJ3yyRoCIW1u+pN##P{}|_a7|(z~LZ z+R&DE?^y;@Pv5@!u|M|cF-}e8V!T)}#T$y0L mQ_i5V|Id;9!~ZQZeCnX7B?>ldT<-k4W#79B8g*-&;r{_kL~?}y From 1ca2bc302b2b98a6900ce06e5df97d847fd256e8 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Tue, 16 Jul 2024 22:08:56 -0500 Subject: [PATCH 12/23] get rid of the dependency of networkx in the eg --- examples/openmm/cv_Q/abf.py | 111 +++++----- examples/openmm/cv_Q/contact_pairs.npy | Bin 41536 -> 41312 bytes .../openmm/cv_Q/contact_pairs_remapped.npy | Bin 41536 -> 41312 bytes examples/openmm/cv_Q/log | 200 +++++++++--------- examples/openmm/cv_Q/state.pkl | Bin 466132 -> 465908 bytes 5 files changed, 148 insertions(+), 163 deletions(-) diff --git a/examples/openmm/cv_Q/abf.py b/examples/openmm/cv_Q/abf.py index 73d6ba9b..ca823c07 100644 --- a/examples/openmm/cv_Q/abf.py +++ b/examples/openmm/cv_Q/abf.py @@ -1,8 +1,5 @@ #!/usr/bin/env python -from itertools import product - -import networkx as nx import numpy as np import openmm as mm import openmm.app as app @@ -17,64 +14,33 @@ AUGC = ["A", "U", "G", "C"] -def init_graph(top): - graph = nx.Graph() - rna_indices = [] - full_id2rna_heavy_id = {} - index = 0 - for atom in top.atoms(): - if atom.residue.name in AUGC and atom.element.name != "hydrogen": - graph.add_node(index, name=atom.name, resid=atom.residue.index) - full_id2rna_heavy_id[atom.index] = index - rna_indices.append(atom.index) - index += 1 - - for bond in top.bonds(): - if ( - bond.atom1.residue.name in AUGC - and bond.atom1.element.name != "hydrogen" - and bond.atom2.residue.name in AUGC - and bond.atom2.element.name != "hydrogen" - ): - graph.add_edge( - full_id2rna_heavy_id[bond.atom1.index], full_id2rna_heavy_id[bond.atom2.index] - ) - - return graph, rna_indices - - -def gen_dihedral_indices(graph): - dihedral_indices = [] - for n1, n2 in nx.edge_dfs(graph): - neibor1 = list(graph.adj[n1]) - neibor1.remove(n2) - # we want to exclude neightbor n2 - # because we are trying to construct a dihedral pre-n1-n2-post, - # and we don't want pre is the same as n2 - neibor2 = list(graph.adj[n2]) - neibor2.remove(n1) - for pre, post in product(neibor1, neibor2): - if pre != post: # exlucde ring dihedrals - dihedral_indices.append([pre, n1, n2, post]) - return dihedral_indices - - -def calc_include_ij(graph, dihedral_indices): +def create_exclusions_from_bonds(particles, bonds, bond_cutoff=3): """ - calculate all the atom pairs that are connected by 1 or 2 or 3 bonds. - Those pairs can't be included in the native contacts - return a matrix for all the atoms in the graph: - True means we can include the pair - False means we should exclude the pair + create exclusion from bond. """ - n_atoms = len(graph) - exclude_ij = np.full((n_atoms, n_atoms), False) - for dihedral in dihedral_indices: - indices = np.array(np.meshgrid(dihedral, dihedral)).T.reshape(-1, 2) - i, j = indices[:, 0], indices[:, 1] - exclude_ij[i, j] = True - - return ~exclude_ij + n_particles = max(particles) + 1 + exclusions = [set() for _ in range(n_particles)] + bonded12 = [set() for _ in range(n_particles)] + for bond in bonds: + p1, p2 = bond + exclusions[p1].add(p2) + exclusions[p2].add(p1) + bonded12[p1].add(p2) + bonded12[p2].add(p1) + + for level in range(bond_cutoff - 1): + current_exclusions = [exclusion.copy() for exclusion in exclusions] + for i in range(n_particles): + for j in current_exclusions[i]: + exclusions[j].update(bonded12[i]) + + final_exclusions = [] + for i in range(len(exclusions)): + for j in exclusions[i]: + if j < i: + final_exclusions.append((j, i)) + + return final_exclusions step_size = 2 * unit.femtosecond @@ -85,15 +51,34 @@ def calc_include_ij(graph, dihedral_indices): pdb = app.PDBFile("../../inputs/GAGA.box_0mM.pdb") positions = pdb.getPositions(asNumpy=True).value_in_unit(unit.nanometer) -rna_graph, rna_indices = init_graph(pdb.topology) -dihedral_indices = gen_dihedral_indices(rna_graph) -include_ij = calc_include_ij(rna_graph, dihedral_indices) +rna_indices = [] +for atom in pdb.topology.atoms(): + if atom.residue.name in AUGC and atom.element.name != "hydrogen": + rna_indices.append(atom.index) + +rna_bonds = [] +for bond in pdb.topology.bonds(): + if ( + bond.atom1.residue.name in AUGC + and bond.atom1.element.name != "hydrogen" + and bond.atom2.residue.name in AUGC + and bond.atom2.element.name != "hydrogen" + ): + rna_bonds.append([bond.atom1.index, bond.atom2.index]) + +exclusions = create_exclusions_from_bonds(rna_indices, rna_bonds) rna_pos = positions.astype("float")[np.asarray(rna_indices)] contact_matrix = sd.squareform(sd.pdist(rna_pos)) < contact_cutoff contacts = np.transpose(np.nonzero(contact_matrix)) rna_id_contacts = np.array( - [[rna_indices[i], rna_indices[j]] for i, j in contacts if i != j and include_ij[i, j]] + [ + [rna_indices[i], rna_indices[j]] + for i, j in contacts + if i != j + and (rna_indices[i], rna_indices[j]) not in exclusions + and (rna_indices[j], rna_indices[i]) not in exclusions + ] ) # notice that we need to get rid of self-self contact! indices = np.unique(rna_id_contacts) diff --git a/examples/openmm/cv_Q/contact_pairs.npy b/examples/openmm/cv_Q/contact_pairs.npy index eaed2b7ab7298e40ee063cc4a585545b25dbcc63..9f05251e5b9476744b040d43786682121a0fcab5 100644 GIT binary patch delta 132 zcmV-~0DJ$y!~)>L0+2rfH#D(92Mm*-4hWNA3}}us7I~Fgggcpg6b>lfX;}vv5d=0h7>72(u7MXcv> mV(1f-aCr!mfOdG3fO!bB5O>%alkk!Vl95=FlL)hLk)H`oDRlfgL`vp_hw4*`LbF-#Y-NQeOefRjN?7qgH_ zXcqyalQCo$l3~~ZqLV>n7qj4D=o10Nlc9JQlhAc|0mGBAco(x!cGwvK=92-E7n3lM PSOMje5t0|PkdV+21{XZv diff --git a/examples/openmm/cv_Q/contact_pairs_remapped.npy b/examples/openmm/cv_Q/contact_pairs_remapped.npy index 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zA{1q;e&ZO=QR5!tIMbNU?|jnsnJ*l69!EIJ3Rbd;JNEG|_c+ISF0jget!52Th)OhC z(u&sHw!e3{%P+X6#!W|h2Ab<226Io_eID?yd3@v(E5)l=%`x$DPEbLOic}(^+L4G%S@*si<$0#x zb6!xJI@IN;e#bb@Befs%gq`eSH;LWLBqZg5oQFIjxq2x`$qsYc$u9P4+sA%-iF?zB z;*_8y)3yE13@WNoiOQ4|m!dQ|JWDyr#USxuh7gbVB%mRUXv|;o7qOV8YBZxc%UI3| z;t-d3ypi*kcZ4Jqq1kUQ4sei2)*P8AY%}h5cCdksY@&von$%*Ux&Fytlo6Mu9KqxV zCj_sJ`-ZoiHIH+gCzp3bZt}24+g|ojNq%Lj5JDW1Q0&+500-$oPkIr_U5rc=Dm(is zROPgsGn}Opo#{dX67nl~oMm3}vDloJu$1{MU?JVQ*S&I0_@8~Ceenr zv?Hgxo{QX!kw2DkJm&>332E;_5jwDs=Cp{#)bZ}9OFgbx=XGwdTfB$8+~YnEXhBO_ zag}RaXCM1HKnd@Zl9VDNnaIpnzVV&0-a+FS&k0U)ioDwLk)PD0AuY4D&0#K8#8s)r z5QZ|0m)7=**Sxo1|L}o0<`kEBoD`qpH2LjU0SdCt9a_%@1~}J&4C0o4x4A=XcO?#S z=^*Y%Cl)w^h5Sh(dzzRejAArnc&XnjUh^Ul^NQ|j_n;>o)$2rO_8aQ}2kGnl`q7^< z{`^;(@|2|u7V<9tpa1#)ZU65K{`;kJWrF!mIYndt&r1Hs{|+*I Z>Y%A53N~z9?)=+j-?|DKb!(jA{{YnT?}Y#W From ff9da1802a0e4e500c1716b9ff6dfb71f8d80070 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Fri, 9 Aug 2024 18:44:18 -0500 Subject: [PATCH 13/23] remove the unnecessary @multicomponent --- pysages/colvars/contacts.py | 3 +-- pysages/colvars/orientation.py | 2 -- 2 files changed, 1 insertion(+), 4 deletions(-) diff --git a/pysages/colvars/contacts.py b/pysages/colvars/contacts.py index 1993010f..73c00003 100644 --- a/pysages/colvars/contacts.py +++ b/pysages/colvars/contacts.py @@ -9,7 +9,7 @@ """ from jax import numpy as np -from pysages.colvars.core import CollectiveVariable, multicomponent +from pysages.colvars.core import CollectiveVariable def remap_indices(contacts, sorted_unique_indices): @@ -25,7 +25,6 @@ def remap_indices(contacts, sorted_unique_indices): return remapped_contacts -@multicomponent class NativeContactFraction(CollectiveVariable): """ Calculate the native contact fraction Q. diff --git a/pysages/colvars/orientation.py b/pysages/colvars/orientation.py index 867cdce0..19c91748 100644 --- a/pysages/colvars/orientation.py +++ b/pysages/colvars/orientation.py @@ -126,7 +126,6 @@ def function(self): return lambda r: rmsd(r, self.Q, self.weights, self.optimal_rotation) -@multicomponent class ERMSD(CollectiveVariable): """ Use a reference to calculate the eRMSD of a set of RNA structures. @@ -378,7 +377,6 @@ def ermsd(rs, reference, cutoff, a, b): return ermsd_core(rs, reference, cutoff, a, b) -@multicomponent class ERMSDCG(CollectiveVariable): """ Use a reference to calculate the eRMSD of From f92ccde1698ce41ff2c42b5a1281cf6b40f401d1 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Fri, 9 Aug 2024 18:45:38 -0500 Subject: [PATCH 14/23] get rid of unused import multicomponent --- pysages/colvars/orientation.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pysages/colvars/orientation.py b/pysages/colvars/orientation.py index 19c91748..6736d1ad 100644 --- a/pysages/colvars/orientation.py +++ b/pysages/colvars/orientation.py @@ -21,7 +21,7 @@ from jax.numpy import linalg from pysages.colvars.coordinates import weighted_barycenter -from pysages.colvars.core import CollectiveVariable, multicomponent +from pysages.colvars.core import CollectiveVariable def fitted_positions(positions, weights): From d071911f4fa32ffdfc5fc81b7fceb7fec8f50e2b Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Fri, 9 Aug 2024 18:52:51 -0500 Subject: [PATCH 15/23] reduce code duplication by using lambda function --- pysages/colvars/angles.py | 88 +++++++++++++-------------------------- 1 file changed, 29 insertions(+), 59 deletions(-) diff --git a/pysages/colvars/angles.py b/pysages/colvars/angles.py index d7f97e40..0adc8912 100644 --- a/pysages/colvars/angles.py +++ b/pysages/colvars/angles.py @@ -40,18 +40,34 @@ def function(self): Function that calculates the angle value from a simulation snapshot. Look at `pysages.colvars.angles.angle` for details. """ - return angle + return lambda p1, p2, p3: angle(p2, p1, p2, p3) -def angle(p1, p2, p3): +class VectorAngle(FourPointCV): + """ + Compute the angle formed by two vectors (four points). + Notice that the two vectors are defined as p1->p2, p3->p4. + """ + + @property + def function(self): + """ + Returns + -------- + Functions that calculates the angle value from a simulation snapshot. + """ + return vector_angle + + +def angle(p1, p2, p3, p4): r""" - Calculates angle between 3 points in space. + Calculates angle between two vectors (4 points) in space. - Takes 3 positions in space and calculates the angle between them. + Takes 4 positions in space and calculates the angle between them. - :math:`\vec{q} = \vec{p}_1 - \vec{p}_2` + :math:`\vec{q} = \vec{p}_2 - \vec{p}_1` - :math:`\vec{r} = \vec{p}_3 - \vec{p}_2` + :math:`\vec{r} = \vec{p}_4 - \vec{p}_3` :math:`\theta = \arctan(|\vec{q} \times \vec{r}|, \vec{q} \cdot \vec{r})` @@ -63,14 +79,17 @@ def angle(p1, p2, p3): :math:`\vec{p}_2` 3D vector in space p3: jax.Array :math:`\vec{p}_3` 3D vector in space + p4: jax.Array + :math:`\vec{p}_3` 3D vector in space Returns ------- float :math:`\theta` """ - q = p1 - p2 - r = p3 - p2 + + q = p2 - p1 + r = p4 - p3 return np.arctan2(linalg.norm(np.cross(q, r)), np.dot(q, r)) @@ -128,60 +147,11 @@ def dihedral_angle(p1, p2, p3, p4): return np.arctan2(np.dot(np.cross(r, s), q), np.dot(r, s) * linalg.norm(q)) -class VectorAngle(FourPointCV): - """ - Compute the angle formed by two vectors (four points). - Notice that the two vectors are defined as p1->p2, p3->p4. - """ - - @property - def function(self): - """ - Returns - -------- - Functions that calculates the angle value from a simulation snapshot. - """ - return vector_angle - - -def vector_angle(p1, p2, p3, p4): - r""" - Calculates angle between two vectors (4 points) in space. - - Takes 4 positions in space and calculates the angle between them. - - :math:`\vec{q} = \vec{p}_2 - \vec{p}_1` - - :math:`\vec{r} = \vec{p}_4 - \vec{p}_3` - - :math:`\theta = \arctan(|\vec{q} \times \vec{r}|, \vec{q} \cdot \vec{r})` - - Parameters - ---------- - p1: jax.Array - :math:`\vec{p}_1` 3D vector in space - p2: jax.Array - :math:`\vec{p}_2` 3D vector in space - p3: jax.Array - :math:`\vec{p}_3` 3D vector in space - p4: jax.Array - :math:`\vec{p}_3` 3D vector in space - - Returns - ------- - float - :math:`\theta` - """ - - q = p2 - p1 - r = p4 - p3 - return np.arctan2(linalg.norm(np.cross(q, r)), np.dot(q, r)) - - @multicomponent class RingPuckeringCoordinates(CollectiveVariable): """ - Computes the amplitude and the phase angle of a monocyclic ring by the Cremer-Pople method. + Computes the amplitude and the phase angle of a monocyclic ring + by the Cremer-Pople method. Mathematical definitions can be found in [D. Cremer and J. A. Pople, JACS, 1974](https://pubs.acs.org/doi/10.1021/ja00839a011) Equations 4-14. From 1551dda9c3c52d4f37f8ab5b9260413f5da183ac Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Fri, 9 Aug 2024 18:54:23 -0500 Subject: [PATCH 16/23] bug fix: change the name from vector_angle to angle --- pysages/colvars/angles.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pysages/colvars/angles.py b/pysages/colvars/angles.py index 0adc8912..eec86453 100644 --- a/pysages/colvars/angles.py +++ b/pysages/colvars/angles.py @@ -56,7 +56,7 @@ def function(self): -------- Functions that calculates the angle value from a simulation snapshot. """ - return vector_angle + return angle def angle(p1, p2, p3, p4): From e759b74fd8d404f9845d60425a8de3b31fee776b Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Fri, 9 Aug 2024 19:06:00 -0500 Subject: [PATCH 17/23] reimplement remap_indices by argsort --- examples/openmm/cv_Q/log | 124 +++++++----------------------------- pysages/colvars/contacts.py | 9 +-- 2 files changed, 29 insertions(+), 104 deletions(-) diff --git a/examples/openmm/cv_Q/log b/examples/openmm/cv_Q/log index c7b120a6..03ece766 100644 --- a/examples/openmm/cv_Q/log +++ b/examples/openmm/cv_Q/log @@ -1,101 +1,25 @@ #"Step","Time (ps)","Speed (ns/day)","Elapsed Time (s)","Time Remaining" -1,0.002,0,0.00022101402282714844,-- -2,0.004,0.21,0.8227248191833496,1:20 -3,0.006,0.24,1.4425551891326904,1:09 -4,0.008,0.339,1.5272512435913086,0:48 -5,0.01,0.429,1.610468864440918,0:38 -6,0.012,0.51,1.693587064743042,0:31 -7,0.014,0.563,1.840118408203125,0:28 -8,0.016,0.628,1.9254417419433594,0:25 -9,0.018000000000000002,0.689,2.0073280334472656,0:22 -10,0.020000000000000004,0.744,2.0890250205993652,0:20 -11,0.022000000000000006,0.794,2.175332546234131,0:19 -12,0.024000000000000007,0.842,2.2585818767547607,0:18 -13,0.02600000000000001,0.885,2.3418662548065186,0:16 -14,0.02800000000000001,0.927,2.423513174057007,0:16 -15,0.030000000000000013,0.966,2.505436897277832,0:15 -16,0.032000000000000015,1,2.5873866081237793,0:14 -17,0.034000000000000016,1.04,2.6675479412078857,0:13 -18,0.03600000000000002,1.05,2.8018243312835693,0:13 -19,0.03800000000000002,1.08,2.8864688873291016,0:12 -20,0.04000000000000002,1.11,2.969536781311035,0:12 -21,0.04200000000000002,1.13,3.052172899246216,0:12 -22,0.044000000000000025,1.16,3.1340787410736084,0:11 -23,0.04600000000000003,1.18,3.2186665534973145,0:11 -24,0.04800000000000003,1.2,3.300657272338867,0:10 -25,0.05000000000000003,1.23,3.384861946105957,0:10 -26,0.05200000000000003,1.24,3.474282741546631,0:10 -27,0.054000000000000034,1.26,3.560129165649414,0:09 -28,0.056000000000000036,1.26,3.702094316482544,0:09 -29,0.05800000000000004,1.28,3.7889840602874756,0:09 -30,0.06000000000000004,1.29,3.876796007156372,0:09 -31,0.06200000000000004,1.31,3.9615395069122314,0:09 -32,0.06400000000000004,1.32,4.043964147567749,0:08 -33,0.06600000000000004,1.34,4.125448942184448,0:08 -34,0.06800000000000005,1.36,4.205911636352539,0:08 -35,0.07000000000000005,1.37,4.286661624908447,0:08 -36,0.07200000000000005,1.39,4.366098642349243,0:07 -37,0.07400000000000005,1.4,4.445927143096924,0:07 -38,0.07600000000000005,1.39,4.59551739692688,0:07 -39,0.07800000000000006,1.4,4.680671215057373,0:07 -40,0.08000000000000006,1.42,4.761897802352905,0:07 -41,0.08200000000000006,1.43,4.843828916549683,0:07 -42,0.08400000000000006,1.44,4.926450490951538,0:06 -43,0.08600000000000006,1.45,5.006367206573486,0:06 -44,0.08800000000000006,1.46,5.086201429367065,0:06 -45,0.09000000000000007,1.47,5.16817569732666,0:06 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+24,0.04800000000000003,0.754,5.270459890365601,0:17 diff --git a/pysages/colvars/contacts.py b/pysages/colvars/contacts.py index 73c00003..bee2f8f8 100644 --- a/pysages/colvars/contacts.py +++ b/pysages/colvars/contacts.py @@ -13,11 +13,12 @@ def remap_indices(contacts, sorted_unique_indices): - # create the mapping from old indices to new indices + # Generate the mapping by using argsort on sorted_unique_indices old_indices = np.array(sorted_unique_indices) - new_indices = np.arange(len(sorted_unique_indices)) - index_mapping = np.zeros(old_indices.max() + 1, dtype=new_indices.dtype) - index_mapping = index_mapping.at[old_indices].set(new_indices) + new_indices = np.argsort(old_indices) + + index_mapping = np.zeros(old_indices[-1] + 1, dtype=int) + index_mapping.at[old_indices].set(new_indices) contacts = np.array(contacts) remapped_contacts = index_mapping[contacts] From 3542073c654e84e524fb79d6c86a1f1da993a322 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Fri, 9 Aug 2024 21:15:07 -0500 Subject: [PATCH 18/23] bug fix: index_mapping creation in remap_indices --- examples/openmm/cv_Q/log | 124 ++++++++++++++++++++++++++------- examples/openmm/cv_Q/state.pkl | Bin 465908 -> 465908 bytes pysages/colvars/contacts.py | 4 +- 3 files changed, 102 insertions(+), 26 deletions(-) diff --git a/examples/openmm/cv_Q/log b/examples/openmm/cv_Q/log index 03ece766..e1108d1f 100644 --- a/examples/openmm/cv_Q/log +++ b/examples/openmm/cv_Q/log @@ -1,25 +1,101 @@ #"Step","Time (ps)","Speed (ns/day)","Elapsed Time (s)","Time Remaining" -1,0.002,0,0.00028324127197265625,-- -2,0.004,0.161,1.0749821662902832,1:45 -3,0.006,0.178,1.9444363117218018,1:34 -4,0.008,0.247,2.101069688796997,1:07 -5,0.01,0.306,2.255244016647339,0:53 -6,0.012,0.36,2.4017300605773926,0:45 -7,0.014,0.395,2.623060464859009,0:40 -8,0.016,0.436,2.7752857208251953,0:36 -9,0.018000000000000002,0.472,2.927558422088623,0:33 -10,0.020000000000000004,0.506,3.0759613513946533,0:30 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J*tJo{{|7puIp+WX diff --git a/pysages/colvars/contacts.py b/pysages/colvars/contacts.py index bee2f8f8..14aa6da0 100644 --- a/pysages/colvars/contacts.py +++ b/pysages/colvars/contacts.py @@ -17,8 +17,8 @@ def remap_indices(contacts, sorted_unique_indices): old_indices = np.array(sorted_unique_indices) new_indices = np.argsort(old_indices) - index_mapping = np.zeros(old_indices[-1] + 1, dtype=int) - index_mapping.at[old_indices].set(new_indices) + index_mapping = np.zeros(old_indices.max() + 1, dtype=new_indices.dtype) + index_mapping = index_mapping.at[old_indices].set(new_indices) contacts = np.array(contacts) remapped_contacts = index_mapping[contacts] From 47bef30bf589115e0b4702aade964e25a4303b99 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Thu, 5 Sep 2024 10:12:19 -0500 Subject: [PATCH 19/23] add options for clip large exponentials --- examples/openmm/cv_Q/abf.py | 4 +- examples/openmm/cv_Q/check_Q.py | 20 ++-- examples/openmm/cv_Q/log | 200 ++++++++++++++++---------------- examples/openmm/cv_Q/state.pkl | Bin 465908 -> 465942 bytes pysages/colvars/contacts.py | 29 ++++- 5 files changed, 137 insertions(+), 116 deletions(-) diff --git a/examples/openmm/cv_Q/abf.py b/examples/openmm/cv_Q/abf.py index ca823c07..8fc3bbc9 100644 --- a/examples/openmm/cv_Q/abf.py +++ b/examples/openmm/cv_Q/abf.py @@ -123,10 +123,10 @@ def generate_simulation(): def main(): cvs = [ - NativeContactFraction(indices, rna_id_contacts, references), + NativeContactFraction(indices, rna_id_contacts, references, clip=True), ] - method = ABF(cvs, Grid(lower=(0,), upper=(1,), shape=(32,))) + method = ABF(cvs, Grid(lower=(0,), upper=(1,), shape=(32,)), use_pinv=True) callback = HistogramLogger(1) raw_result = pysages.run(method, generate_simulation, nsteps, callback) diff --git a/examples/openmm/cv_Q/check_Q.py b/examples/openmm/cv_Q/check_Q.py index 48a1eb28..f130089a 100644 --- a/examples/openmm/cv_Q/check_Q.py +++ b/examples/openmm/cv_Q/check_Q.py @@ -7,21 +7,23 @@ from scipy.spatial import distance as sd -def calc_q(contact_dists, contact_dists0, gamma=50, lambda_d=1.5): +def calc_q(contact_dists, contact_dists0, gamma=50, lambda_d=1.5, clip=False, clip_val=5): N_contacts = len(contact_dists) - Q = ( - 1 - / N_contacts - * np.sum(1 / (1 + np.exp(gamma * (contact_dists - lambda_d * contact_dists0)))) - ) + diff = gamma * (contact_dists - lambda_d * contact_dists0) + if clip: + diff = np.clip(diff, None, clip_val) + + Q = 1 / N_contacts * np.sum(1 / (1 + np.exp(diff))) return Q -def pos2q(pos, contact_pairs, contact_dists0, gamma=50, lambda_d=1.5): +def pos2q(pos, contact_pairs, contact_dists0, gamma=50, lambda_d=1.5, clip=False, clip_val=5): dist_matrix = sd.squareform(sd.pdist(pos)) contact_dists = dist_matrix[contact_pairs[:, 0], contact_pairs[:, 1]] - Q = calc_q(contact_dists, contact_dists0, gamma=gamma, lambda_d=lambda_d) + Q = calc_q( + contact_dists, contact_dists0, gamma=gamma, lambda_d=lambda_d, clip=clip, clip_val=clip_val + ) return Q @@ -37,7 +39,7 @@ def pos2q(pos, contact_pairs, contact_dists0, gamma=50, lambda_d=1.5): Q_posthoc = [] for i in range(n_frames): pos = traj.getPositions(asNumpy=True, frame=i).value_in_unit(unit.nanometer).astype("float") - Q_hot = pos2q(pos, contact_pairs, contact_dists0, gamma=50, lambda_d=1.5) + Q_hot = pos2q(pos, contact_pairs, contact_dists0, gamma=50, lambda_d=1.5, clip=True) Q_posthoc.append(Q_hot) Q_pysages = np.loadtxt("Q.txt") diff --git a/examples/openmm/cv_Q/log b/examples/openmm/cv_Q/log index e1108d1f..8af35127 100644 --- a/examples/openmm/cv_Q/log +++ b/examples/openmm/cv_Q/log @@ -1,101 +1,101 @@ #"Step","Time (ps)","Speed (ns/day)","Elapsed Time (s)","Time Remaining" -1,0.002,0,0.0002818107604980469,-- -2,0.004,0.159,1.08992600440979,1:46 -3,0.006,0.179,1.9281718730926514,1:33 -4,0.008,0.249,2.0846221446990967,1:06 -5,0.01,0.31,2.2309930324554443,0:52 -6,0.012,0.363,2.3769898414611816,0:44 -7,0.014,0.398,2.6044957637786865,0:40 -8,0.016,0.439,2.7535996437072754,0:36 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R<<7lb`n{{5QMbk!{vSkl!B_wQ diff --git a/pysages/colvars/contacts.py b/pysages/colvars/contacts.py index 14aa6da0..d3fb8da9 100644 --- a/pysages/colvars/contacts.py +++ b/pysages/colvars/contacts.py @@ -48,9 +48,16 @@ class NativeContactFraction(CollectiveVariable): Smoothing parameter. Default is 50 nm^-1. lambda_d: float Scaling factor for the distances. + clip: bool + Clip the :math:`\gamma(r_{ij}-\lambda_d*r_{ij}^0)` by some value. + Default is False + clip_val: float + Default is 5. """ - def __init__(self, indices, contact_pairs, references, gamma=50, lambda_d=1.5): + def __init__( + self, indices, contact_pairs, references, gamma=50, lambda_d=1.5, clip=False, clip_val=5 + ): super().__init__(indices) indices = np.sort(np.asarray(indices)) contact_pairs = np.asarray(contact_pairs) @@ -65,15 +72,23 @@ def __init__(self, indices, contact_pairs, references, gamma=50, lambda_d=1.5): self.references = np.asarray(references) self.gamma = gamma self.lambda_d = lambda_d + self.clip = clip + self.clip_val = clip_val @property def function(self): return lambda r: native_contact_fraction( - r, self.contact_pairs, self.references, self.gamma, self.lambda_d + r, + self.contact_pairs, + self.references, + self.gamma, + self.lambda_d, + self.clip, + self.clip_val, ) -def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d): +def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d, clip, clip_val): r""" Calculate the native contact fraction Q. @@ -89,6 +104,9 @@ def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d): Smoothing parameter. lambda_d: float Scaling factor for the distances. + clip: bool + Clip the :math:`\gamma(r_{ij}-\lambda_d*r_{ij}^0)` by some value. + clip_val: float Returns ------- @@ -97,8 +115,7 @@ def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d): Mathematical details can be found in [Best, Mittal, JPCB, 2010](https://pubs.acs.org/doi/10.1021/jp102575b) - :math:`Q=\frac{1}{N_\mathrm{contacts}}\sum_{(i, j)} \frac{1}{1+\exp(\gamma(r_{ij}-r_{ij}^0))}` - + :math:`Q=\frac{1}{N_\mathrm{contacts}}\sum_{(i, j)}\frac{1}{1+\exp(\gamma(r_{ij}-\lambda_d r_{ij}^0))}` """ # Calculate pairwise distances distance_matrix = r[:, None, :] - r[None, :, :] @@ -116,6 +133,8 @@ def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d): distances_contacts = distances[contact_pairs[:, 0], contact_pairs[:, 1]] reference_distances_contacts = reference_distances[contact_pairs[:, 0], contact_pairs[:, 1]] diff = distances_contacts - lambda_d * reference_distances_contacts + if clip: + diff = np.clip(diff, None, clip_val) Q_contribution = 1 / (1 + np.exp(gamma * diff)) N_contacts = contact_pairs.shape[0] From 2af7f18da60caeda30ba59c4f671d5b97eda264c Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Thu, 5 Sep 2024 10:21:59 -0500 Subject: [PATCH 20/23] bug fix: fix math formats --- pysages/colvars/contacts.py | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/pysages/colvars/contacts.py b/pysages/colvars/contacts.py index d3fb8da9..5d6d6bb6 100644 --- a/pysages/colvars/contacts.py +++ b/pysages/colvars/contacts.py @@ -27,7 +27,7 @@ def remap_indices(contacts, sorted_unique_indices): class NativeContactFraction(CollectiveVariable): - """ + r""" Calculate the native contact fraction Q. Parameters @@ -115,7 +115,8 @@ def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d, clip, Mathematical details can be found in [Best, Mittal, JPCB, 2010](https://pubs.acs.org/doi/10.1021/jp102575b) - :math:`Q=\frac{1}{N_\mathrm{contacts}}\sum_{(i, j)}\frac{1}{1+\exp(\gamma(r_{ij}-\lambda_d r_{ij}^0))}` + :math:`Q=\frac{1}{N_\mathrm{contacts}}\sum_{(i, j)}\\ + \frac{1}{1+\exp(\gamma(r_{ij}-\lambda_d r_{ij}^0))}` """ # Calculate pairwise distances distance_matrix = r[:, None, :] - r[None, :, :] From 251c6f42fa0359b56c3cbfb4f6c9414283dc50d9 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Thu, 5 Sep 2024 10:49:59 -0500 Subject: [PATCH 21/23] bug fix: documentation wording & math issues --- docs/source/pysages_wordlist.txt | 1 + pysages/colvars/contacts.py | 11 +++++++---- 2 files changed, 8 insertions(+), 4 deletions(-) diff --git a/docs/source/pysages_wordlist.txt b/docs/source/pysages_wordlist.txt index ee241703..c702b8d9 100644 --- a/docs/source/pysages_wordlist.txt +++ b/docs/source/pysages_wordlist.txt @@ -96,3 +96,4 @@ unitless nm nucleotides nt +Mittal diff --git a/pysages/colvars/contacts.py b/pysages/colvars/contacts.py index 5d6d6bb6..07b76470 100644 --- a/pysages/colvars/contacts.py +++ b/pysages/colvars/contacts.py @@ -91,6 +91,11 @@ def function(self): def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d, clip, clip_val): r""" Calculate the native contact fraction Q. + Mathematical details can be found in + [Best, Mittal, JPCB, 2010](https://pubs.acs.org/doi/10.1021/jp102575b) + + :math:`Q=\frac{1}{N_\mathrm{contacts}}\sum_{(i, j)} \ + \frac{1}{1+\exp(\gamma(r_{ij}-\lambda_d r_{ij}^0))}` Parameters ---------- @@ -107,16 +112,14 @@ def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d, clip, clip: bool Clip the :math:`\gamma(r_{ij}-\lambda_d*r_{ij}^0)` by some value. clip_val: float + clip value Returns ------- Q: float Native contact fraction. - Mathematical details can be found in - [Best, Mittal, JPCB, 2010](https://pubs.acs.org/doi/10.1021/jp102575b) - :math:`Q=\frac{1}{N_\mathrm{contacts}}\sum_{(i, j)}\\ - \frac{1}{1+\exp(\gamma(r_{ij}-\lambda_d r_{ij}^0))}` + """ # Calculate pairwise distances distance_matrix = r[:, None, :] - r[None, :, :] From 2460ced55eaf5aa418878e5a1b1e10c0edeb1e43 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Tue, 10 Sep 2024 12:03:20 -0500 Subject: [PATCH 22/23] bug fix: proper clipping in the Q --- pysages/colvars/contacts.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pysages/colvars/contacts.py b/pysages/colvars/contacts.py index 07b76470..edd75c97 100644 --- a/pysages/colvars/contacts.py +++ b/pysages/colvars/contacts.py @@ -138,7 +138,7 @@ def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d, clip, reference_distances_contacts = reference_distances[contact_pairs[:, 0], contact_pairs[:, 1]] diff = distances_contacts - lambda_d * reference_distances_contacts if clip: - diff = np.clip(diff, None, clip_val) + diff = np.clip(diff, None, clip_val / gamma) Q_contribution = 1 / (1 + np.exp(gamma * diff)) N_contacts = contact_pairs.shape[0] From 7e40fcd8f24ae259d55d1c51ef834b7bf2490f74 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Tue, 10 Sep 2024 12:17:00 -0500 Subject: [PATCH 23/23] refactorizing Q calculation for easy understanding --- pysages/colvars/contacts.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/pysages/colvars/contacts.py b/pysages/colvars/contacts.py index edd75c97..9c6c1869 100644 --- a/pysages/colvars/contacts.py +++ b/pysages/colvars/contacts.py @@ -136,10 +136,10 @@ def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d, clip, distances_contacts = distances[contact_pairs[:, 0], contact_pairs[:, 1]] reference_distances_contacts = reference_distances[contact_pairs[:, 0], contact_pairs[:, 1]] - diff = distances_contacts - lambda_d * reference_distances_contacts + diff = gamma * (distances_contacts - lambda_d * reference_distances_contacts) if clip: - diff = np.clip(diff, None, clip_val / gamma) - Q_contribution = 1 / (1 + np.exp(gamma * diff)) + diff = np.clip(diff, None, clip_val) + Q_contribution = 1 / (1 + np.exp(diff)) N_contacts = contact_pairs.shape[0]

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+pdb = app.PDBFile("../../inputs/GAGA.box_0mM.pdb") +positions = pdb.getPositions(asNumpy=True).value_in_unit(unit.nanometer) +rna_indices = [] +for i, residue in enumerate(pdb.topology.residues()): + if residue.name in ["A", "U", "G", "C"]: + for atom in residue.atoms(): + if atom.element.name != "hydrogen": + rna_indices.append(atom.index) + +rna_pos = positions.astype("float")[np.asarray(rna_indices)] +contact_matrix = sd.squareform(sd.pdist(rna_pos)) < contact_cutoff +contacts = np.transpose(np.nonzero(contact_matrix)) +rna_id_contacts = np.array([[rna_indices[i], rna_indices[j]] for i, j in contacts]) +indices = np.unique(rna_id_contacts) +references = positions.astype("float")[np.asarray(indices)] + + +def generate_simulation(): + forcefield = app.ForceField("amber14-all.xml", "amber14/tip3pfb.xml") + system = forcefield.createSystem( + pdb.topology, + nonbondedMethod=app.PME, + nonbondedCutoff=1.2 * unit.nanometer, + constraints=app.HBonds, + ) + + integrator = mm.LangevinIntegrator( + 298 * unit.kelvin, 5 / unit.picosecond, step_size.in_units_of(unit.picosecond) + ) + simulation = app.Simulation(pdb.topology, system, integrator) + simulation.context.setPositions(pdb.positions) + + print("minimizing energy...") + simulation.minimizeEnergy() + + print("Using {} platform".format(simulation.context.getPlatform().getName())) + simulation.reporters.append(app.PDBReporter("output.pdb", 1, enforcePeriodicBox=False)) + simulation.reporters.append( + app.StateDataReporter( + "log", + 1, + step=True, + time=True, + speed=True, + remainingTime=True, + elapsedTime=True, + totalSteps=nsteps, + ) + ) + + return simulation + + +def main(): + cvs = [ + NativeContactFraction(indices, rna_id_contacts, references), + ] + + method = ABF(cvs, Grid(lower=(0,), upper=(1,), shape=(32,))) + callback = HistogramLogger(1) + + raw_result = pysages.run(method, generate_simulation, nsteps, callback) + pysages.save(raw_result, "state.pkl") + + np.savetxt("Q.txt", raw_result.callbacks[0].data[:, :1]) + np.savetxt("references.txt", references) + np.save("contact_pairs.npy", rna_id_contacts) + np.save("contact_pairs_remapped.npy", cvs[0].contact_pairs) + + +if __name__ == "__main__": + main() diff --git a/pysages/colvars/contacts.py b/pysages/colvars/contacts.py new file mode 100644 index 00000000..93339975 --- /dev/null +++ b/pysages/colvars/contacts.py @@ -0,0 +1,111 @@ +# SPDX-License-Identifier: MIT +# See LICENSE.md and CONTRIBUTORS.md at https://github.com/SSAGESLabs/PySAGES + +""" +Collective variable related to native contacts. + +Q describes the fraction of the native contacts +for folding of proteins or nucleic acids +""" +from jax import numpy as np + +from pysages.colvars.core import CollectiveVariable, multicomponent + + +def remap_indices(contacts, sorted_unique_indices): + # create the mapping from old indices to new indices + old_indices = np.array(sorted_unique_indices) + new_indices = np.arange(len(sorted_unique_indices)) + index_mapping = np.zeros(old_indices.max() + 1, dtype=new_indices.dtype) + index_mapping = index_mapping.at[old_indices].set(new_indices) + + contacts = np.array(contacts) + remapped_contacts = index_mapping[contacts] + + return remapped_contacts + + +@multicomponent +class NativeContactFraction(CollectiveVariable): + """ + Calculate the native contact fraction Q. + + Parameters + ------------ + indices: list[int] + List of the indices of the atoms of interests. + indices should be equal to np.unique(contact_pairs) + contact_pairs: list[tuple(int)] + List of pairs of indices of atoms (list of contacts) to be considered. + The overall shape should be (n_contacts, 2). + These pairs are usually generated by a cutoff radius. + For example, in a system with 5 atoms, if in the reference structure, + only 2-3, 2-4 and 1-5 are in contact with each other, + we should pass in [(2, 3), (2, 4), (1, 5)] + reference: list[tuple(float)] + Reference coordinates for the selected atoms. + gamma: float + Smoothing parameter. Default is 50 nm^-1. + lambda_d: float + Scaling factor for the distances. + """ + + def __init__(self, indices, contact_pairs, references, gamma=50, lambda_d=1.5): + super().__init__(indices) + indices = np.sort(np.asarray(indices)) + contact_pairs = np.asarray(contact_pairs) + assert all( + indices == np.unique(contact_pairs) + ), "contact pairs should contain and only contain index from indices" + self.contact_pairs = remap_indices(contact_pairs, indices) + + self.references = np.asarray(references) + self.gamma = gamma + self.lambda_d = lambda_d + + @property + def function(self): + return lambda r: native_contact_fraction( + r, self.contact_pairs, self.references, self.gamma, self.lambda_d + ) + + +def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d): + r""" + Calculate the native contact fraction Q. + + Parameters + ---------- + r: (n_atoms, 3) array + Current positions of the atoms. + contact_pairs: (n_contacts, 2) array + pairs of indices of atoms that are in contact. + references: (n_atoms, 3) array + Reference contact distances. + gamma: float + Smoothing parameter. + lambda_d: float + Scaling factor for the distances. + + Returns + ------- + Q: float + Native contact fraction. + + Mathematical details can be found in + [Best, Mittal, JPCB, 2010](https://pubs.acs.org/doi/10.1021/jp102575b) + :math:`Q=\frac{1}{N_\mathrm{contacts}}\sum_{(i, j)} \frac{1}{1+\exp(\gamma(r_{ij}-r_{ij}^0))}` + + """ + # Calculate pairwise distances + distances = np.linalg.norm(r[:, None, :] - r[None, :, :], axis=-1) + reference_distances = np.linalg.norm(references[:, None, :] - references[None, :, :], axis=-1) + + # Calculate Q + diff = distances - lambda_d * reference_distances + Q_matrix = 1 / (1 + np.exp(gamma * diff)) + Q_contribution = Q_matrix[contact_pairs[:, 0], contact_pairs[:, 1]] + + N_contacts = contact_pairs.shape[0] + + return np.sum(Q_contribution) / N_contacts From f255531cdcfac0d13d0f24ad938618b0315bdcb9 Mon Sep 17 00:00:00 2001 From: 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Subject: [PATCH 04/23] add contacts to the documentation --- docs/source/module-pysages-colvars-contacts.rst | 14 ++++++++++++++ docs/source/module-pysages-colvars.rst | 3 +++ pysages/colvars/contacts.py | 2 +- 3 files changed, 18 insertions(+), 1 deletion(-) create mode 100644 docs/source/module-pysages-colvars-contacts.rst diff --git a/docs/source/module-pysages-colvars-contacts.rst b/docs/source/module-pysages-colvars-contacts.rst new file mode 100644 index 00000000..914398e3 --- /dev/null +++ b/docs/source/module-pysages-colvars-contacts.rst @@ -0,0 +1,14 @@ +Contacts as collective variables +------------------------------------ + +.. rubric:: Overview + +.. autosummary:: + + pysages.colvars.contacts.NativeContactFraction + +.. rubric:: Details + +.. automodule:: pysages.colvars.contacts + :synopsis: Python classes Contacts collective variables. + :members: diff --git a/docs/source/module-pysages-colvars.rst b/docs/source/module-pysages-colvars.rst index bf2d1419..a288897e 100644 --- a/docs/source/module-pysages-colvars.rst +++ b/docs/source/module-pysages-colvars.rst @@ -22,6 +22,8 @@ Collective Variables available in PySAGES pysages.colvars.orientation.ERMSD pysages.colvars.orientation.ERMSDCG + pysages.colvars.contacts.NativeContactFraction + Abstract base classes .. autosummary:: @@ -41,6 +43,7 @@ Abstract base classes module-pysages-colvars-coordinates module-pysages-colvars-core module-pysages-colvars-orientation + module-pysages-colvars-contacts .. automodule:: pysages.colvars :synopsis: Python classes for collective variables. diff --git a/pysages/colvars/contacts.py b/pysages/colvars/contacts.py index 93339975..cfc57ebe 100644 --- a/pysages/colvars/contacts.py +++ b/pysages/colvars/contacts.py @@ -34,7 +34,7 @@ class NativeContactFraction(CollectiveVariable): ------------ indices: list[int] List of the indices of the atoms of interests. - indices should be equal to np.unique(contact_pairs) + indices should be equal to unique(contact_pairs) contact_pairs: list[tuple(int)] List of pairs of indices of atoms (list of contacts) to be considered. The overall shape should be (n_contacts, 2). From aaa40ec8636b902bbbf604cda163e517bbd07896 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Tue, 9 Jul 2024 12:00:47 -0500 Subject: [PATCH 05/23] implement checks for forces of Q --- examples/openmm/cv_Q/check_force.py | 63 ++++++++++++----------------- 1 file changed, 25 insertions(+), 38 deletions(-) mode change 100644 => 100755 examples/openmm/cv_Q/check_force.py diff --git a/examples/openmm/cv_Q/check_force.py b/examples/openmm/cv_Q/check_force.py old mode 100644 new mode 100755 index 9a01d13f..9ab9e603 --- a/examples/openmm/cv_Q/check_force.py +++ b/examples/openmm/cv_Q/check_force.py @@ -4,44 +4,31 @@ import numpy as np import openmm.app as app from jax import grad +from openmm import unit +from scipy.spatial import distance as sd +from pysages.colvars.contacts import NativeContactFraction from pysages.colvars.orientation import ERMSD, RMSD -pdb = app.PDBFile("../../../inputs/GAGA.box_0mM.pdb") - -C246_indices = [] -for i, res in enumerate(pdb.topology.residues()): - C246_residue = dict.fromkeys(["C2", "C4", "C6"]) - for atom in res.atoms(): - if atom.name in ["C2", "C4", "C6"]: - C246_residue[atom.name] = atom.index - C246_indices.append(C246_residue) - -# notice that the order of the indices for eRMSD is tricky! -C246_indices_ordered = [] -for i, res in enumerate(pdb.topology.residues()): - if res.name in ["G", "A"]: - C246 = C246_indices[i] - C246_indices_ordered.extend((C246["C2"], C246["C6"], C246["C4"])) - elif res.name in ["U", "C"]: - C246 = C246_indices[i] - C246_indices_ordered.extend((C246["C2"], C246["C4"], C246["C6"])) - -reference = pdb.getPositions(asNumpy=True).astype("float")[np.asarray(C246_indices_ordered)] - -ermsd = ERMSD(C246_indices_ordered, reference) -ermsd_grad = grad(ermsd.function) -print(ermsd_grad(reference + np.random.random(reference.shape))) - -rmsd = RMSD(C246_indices_ordered, reference) -rmsd_grad = grad(rmsd.function) -print(rmsd_grad(reference + np.random.random(reference.shape))) - - -def G(r, cutoff=2.4): - gamma = jax.numpy.pi / cutoff - end = jax.numpy.sin(gamma * r) * jax.numpy.heaviside(cutoff - r, np.zeros(r.shape)) - return end[0] - - -print(grad(G)(np.ones((10,)))) +contact_cutoff = 0.5 # nm + +pdb = app.PDBFile("../../inputs/GAGA.box_0mM.pdb") +positions = pdb.getPositions(asNumpy=True).value_in_unit(unit.nanometer) +rna_indices = [] +for i, residue in enumerate(pdb.topology.residues()): + if residue.name in ["A", "U", "G", "C"]: + for atom in residue.atoms(): + if atom.element.name != "hydrogen": + rna_indices.append(atom.index) + +rna_pos = positions.astype("float")[np.asarray(rna_indices)] +contact_matrix = sd.squareform(sd.pdist(rna_pos)) < contact_cutoff +contacts = np.transpose(np.nonzero(contact_matrix)) +rna_id_contacts = np.array([[rna_indices[i], rna_indices[j]] for i, j in contacts]) +indices = np.unique(rna_id_contacts) +references = positions.astype("float")[np.asarray(indices)] +ncf = NativeContactFraction(indices, rna_id_contacts, references) +ncf_grad = grad(ncf.function) +grad_hot = ncf_grad(references + np.random.random(references.shape)) +assert not np.any(np.isnan(grad_hot)), "force contains NaN values" +print("checking for forces of Q passed!") From d4ac0da9fd98efe01287795a06d327f4574a84c1 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Tue, 9 Jul 2024 12:02:08 -0500 Subject: [PATCH 06/23] get rid of unused import in check_force.py --- examples/openmm/cv_Q/check_force.py | 2 -- 1 file changed, 2 deletions(-) diff --git a/examples/openmm/cv_Q/check_force.py b/examples/openmm/cv_Q/check_force.py index 9ab9e603..17abff1a 100755 --- a/examples/openmm/cv_Q/check_force.py +++ b/examples/openmm/cv_Q/check_force.py @@ -1,6 +1,5 @@ #!/usr/bin/env python -import jax import numpy as np import openmm.app as app from jax import grad @@ -8,7 +7,6 @@ from scipy.spatial import distance as sd from pysages.colvars.contacts import NativeContactFraction -from pysages.colvars.orientation import ERMSD, RMSD contact_cutoff = 0.5 # nm From e6251f0b9d5fefd81bbea013544d202ac0f3ebc9 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Tue, 9 Jul 2024 13:42:16 -0500 Subject: [PATCH 07/23] bug fix: fix diverging derivs by mask trick --- examples/openmm/cv_Q/check_force.py | 2 +- examples/openmm/cv_Q/unbiased.py | 3 ++- pysages/colvars/contacts.py | 26 +++++++++++++++++++------- 3 files changed, 22 insertions(+), 9 deletions(-) diff --git a/examples/openmm/cv_Q/check_force.py b/examples/openmm/cv_Q/check_force.py index 17abff1a..863eb86c 100755 --- a/examples/openmm/cv_Q/check_force.py +++ b/examples/openmm/cv_Q/check_force.py @@ -22,7 +22,7 @@ rna_pos = positions.astype("float")[np.asarray(rna_indices)] contact_matrix = sd.squareform(sd.pdist(rna_pos)) < contact_cutoff contacts = np.transpose(np.nonzero(contact_matrix)) -rna_id_contacts = np.array([[rna_indices[i], rna_indices[j]] for i, j in contacts]) +rna_id_contacts = np.array([[rna_indices[i], rna_indices[j]] for i, j in contacts if i != j]) indices = np.unique(rna_id_contacts) references = positions.astype("float")[np.asarray(indices)] ncf = NativeContactFraction(indices, rna_id_contacts, references) diff --git a/examples/openmm/cv_Q/unbiased.py b/examples/openmm/cv_Q/unbiased.py index 62e2bb57..4929af75 100644 --- a/examples/openmm/cv_Q/unbiased.py +++ b/examples/openmm/cv_Q/unbiased.py @@ -28,7 +28,8 @@ rna_pos = positions.astype("float")[np.asarray(rna_indices)] contact_matrix = sd.squareform(sd.pdist(rna_pos)) < contact_cutoff contacts = np.transpose(np.nonzero(contact_matrix)) -rna_id_contacts = np.array([[rna_indices[i], rna_indices[j]] for i, j in contacts]) +rna_id_contacts = np.array([[rna_indices[i], rna_indices[j]] for i, j in contacts if i != j]) +# notice that we need to get rid of self-self contact! indices = np.unique(rna_id_contacts) references = positions.astype("float")[np.asarray(indices)] diff --git a/pysages/colvars/contacts.py b/pysages/colvars/contacts.py index cfc57ebe..1993010f 100644 --- a/pysages/colvars/contacts.py +++ b/pysages/colvars/contacts.py @@ -57,6 +57,9 @@ def __init__(self, indices, contact_pairs, references, gamma=50, lambda_d=1.5): assert all( indices == np.unique(contact_pairs) ), "contact pairs should contain and only contain index from indices" + assert not np.any( + contact_pairs[:, 0] == contact_pairs[:, 1] + ), "contact pairs contain self-self interaction" self.contact_pairs = remap_indices(contact_pairs, indices) self.references = np.asarray(references) @@ -98,13 +101,22 @@ def native_contact_fraction(r, contact_pairs, references, gamma, lambda_d): """ # Calculate pairwise distances - distances = np.linalg.norm(r[:, None, :] - r[None, :, :], axis=-1) - reference_distances = np.linalg.norm(references[:, None, :] - references[None, :, :], axis=-1) - - # Calculate Q - diff = distances - lambda_d * reference_distances - Q_matrix = 1 / (1 + np.exp(gamma * diff)) - Q_contribution = Q_matrix[contact_pairs[:, 0], contact_pairs[:, 1]] + distance_matrix = r[:, None, :] - r[None, :, :] + N = distance_matrix.shape[0] + diagonal_indices = np.arange(N), np.arange(N) + mask_val = 100 # mask trick to avoid divergence + mask_array = np.array([mask_val, mask_val, mask_val]) + distance_matrix = distance_matrix.at[diagonal_indices].set(mask_array) + distances = np.linalg.norm(distance_matrix, axis=-1) + + reference_distance_matrix = references[:, None, :] - references[None, :, :] + reference_distance_matrix = reference_distance_matrix.at[diagonal_indices].set(mask_array) + reference_distances = np.linalg.norm(reference_distance_matrix, axis=-1) + + distances_contacts = distances[contact_pairs[:, 0], contact_pairs[:, 1]] + reference_distances_contacts = reference_distances[contact_pairs[:, 0], contact_pairs[:, 1]] + diff = distances_contacts - lambda_d * reference_distances_contacts + Q_contribution = 1 / (1 + np.exp(gamma * diff)) N_contacts = contact_pairs.shape[0] From 6708dacbd17d3b12e062c79c6218c6eefc00cd43 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Tue, 9 Jul 2024 13:44:46 -0500 Subject: [PATCH 08/23] Implement automatic testing of cv q and its deriv --- .github/workflows/docker-ci.yml | 16 ++++++++++++++++ examples/openmm/cv_Q/{unbiased.py => abf.py} | 0 2 files changed, 16 insertions(+) rename examples/openmm/cv_Q/{unbiased.py => abf.py} (100%) diff --git a/.github/workflows/docker-ci.yml b/.github/workflows/docker-ci.yml index c8b3e748..486347a8 100644 --- a/.github/workflows/docker-ci.yml +++ b/.github/workflows/docker-ci.yml @@ -191,6 +191,22 @@ jobs: docker load --input /tmp/pysages.tar docker run -t pysages bash -c "cd PySAGES/examples/openmm/cv_ermsd/ermsd_cg && python3 ./unbiased.py && python3 ./check_ermsd.py" + cv-q-openmm-abf: + runs-on: ubuntu-latest + needs: build + steps: + - name: Set up Docker Buildx + uses: docker/setup-buildx-action@v2 + - name: Download artifact + uses: actions/download-artifact@v3 + with: + name: pysages + path: /tmp + - name: Load and run test + run: | + docker load --input /tmp/pysages.tar + docker run -t pysages bash -c "cd PySAGES/examples/openmm/cv_q && python3 ./abf.py && python3 ./check_q.py && python3 ./check_force.py" + alanine-dipeptide-string: runs-on: ubuntu-latest needs: build diff --git a/examples/openmm/cv_Q/unbiased.py b/examples/openmm/cv_Q/abf.py similarity index 100% rename from examples/openmm/cv_Q/unbiased.py rename to examples/openmm/cv_Q/abf.py From 58d9fcea6844a4889aec91704c4e1eabbe8997ef Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Tue, 9 Jul 2024 14:21:56 -0500 Subject: [PATCH 09/23] correct the path name cv_Q --- .github/workflows/docker-ci.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/docker-ci.yml b/.github/workflows/docker-ci.yml index 486347a8..56100f23 100644 --- a/.github/workflows/docker-ci.yml +++ b/.github/workflows/docker-ci.yml @@ -205,7 +205,7 @@ jobs: - name: Load and run test run: | docker load --input /tmp/pysages.tar - docker run -t pysages bash -c "cd PySAGES/examples/openmm/cv_q && python3 ./abf.py && python3 ./check_q.py && python3 ./check_force.py" + docker run -t pysages bash -c "cd PySAGES/examples/openmm/cv_Q && python3 ./abf.py && python3 ./check_q.py && python3 ./check_force.py" alanine-dipeptide-string: runs-on: ubuntu-latest From 0d1d1f4d046c5d8fd4e96c6d068575e8b3304e56 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Wed, 10 Jul 2024 17:00:50 -0500 Subject: [PATCH 10/23] bug fix: name issue in ci, check_q.py->check_Q.py --- .github/workflows/docker-ci.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/docker-ci.yml b/.github/workflows/docker-ci.yml index 56100f23..32d8560b 100644 --- a/.github/workflows/docker-ci.yml +++ b/.github/workflows/docker-ci.yml @@ -205,7 +205,7 @@ jobs: - name: Load and run test run: | docker load --input /tmp/pysages.tar - docker run -t pysages bash -c "cd PySAGES/examples/openmm/cv_Q && python3 ./abf.py && python3 ./check_q.py && python3 ./check_force.py" + docker run -t pysages bash -c "cd PySAGES/examples/openmm/cv_Q && python3 ./abf.py && python3 ./check_Q.py && python3 ./check_force.py" alanine-dipeptide-string: runs-on: ubuntu-latest From 6e3457256d1578da86cb48c256bbe436f2c76a30 Mon Sep 17 00:00:00 2001 From: yihengwuKP Date: Tue, 16 Jul 2024 17:20:16 -0500 Subject: [PATCH 11/23] def contacts by filtering 1-4 bonding pairs update the examples, this is simply a better choice of the contacts. Otherwise it contains bonded pairs which will always be there. --- examples/openmm/cv_Q/abf.py | 80 ++++++- examples/openmm/cv_Q/contact_pairs.npy | Bin 70096 -> 41536 bytes .../openmm/cv_Q/contact_pairs_remapped.npy | Bin 70096 -> 41536 bytes examples/openmm/cv_Q/log | 200 +++++++++--------- examples/openmm/cv_Q/state.pkl | Bin 494701 -> 466132 bytes 5 files changed, 173 insertions(+), 107 deletions(-) diff --git a/examples/openmm/cv_Q/abf.py b/examples/openmm/cv_Q/abf.py index 4929af75..73d6ba9b 100644 --- a/examples/openmm/cv_Q/abf.py +++ b/examples/openmm/cv_Q/abf.py @@ -1,5 +1,8 @@ #!/usr/bin/env python +from itertools import product + +import networkx as nx import numpy as np import openmm as mm import openmm.app as app @@ -11,6 +14,69 @@ from pysages.colvars.contacts import NativeContactFraction from pysages.methods import ABF, HistogramLogger +AUGC = ["A", "U", "G", "C"] + + +def init_graph(top): + graph = nx.Graph() + rna_indices = [] + full_id2rna_heavy_id = {} + index = 0 + for atom in top.atoms(): + if atom.residue.name in AUGC and atom.element.name != "hydrogen": + graph.add_node(index, name=atom.name, resid=atom.residue.index) + full_id2rna_heavy_id[atom.index] = index + rna_indices.append(atom.index) + index += 1 + + for bond in top.bonds(): + if ( + bond.atom1.residue.name in AUGC + and bond.atom1.element.name != "hydrogen" + and bond.atom2.residue.name in AUGC + and bond.atom2.element.name != "hydrogen" + ): + graph.add_edge( + full_id2rna_heavy_id[bond.atom1.index], full_id2rna_heavy_id[bond.atom2.index] + ) + + return graph, rna_indices + + +def gen_dihedral_indices(graph): + dihedral_indices = [] + for n1, n2 in nx.edge_dfs(graph): + neibor1 = list(graph.adj[n1]) + neibor1.remove(n2) + # we want to exclude neightbor n2 + # because we are trying to construct a dihedral pre-n1-n2-post, + # and we don't want pre is the same as n2 + neibor2 = list(graph.adj[n2]) + neibor2.remove(n1) + for pre, post in product(neibor1, neibor2): + if pre != post: # exlucde ring dihedrals + dihedral_indices.append([pre, n1, n2, post]) + return dihedral_indices + + +def calc_include_ij(graph, dihedral_indices): + """ + calculate all the atom pairs that are connected by 1 or 2 or 3 bonds. + Those pairs can't be included in the native contacts + return a matrix for all the atoms in the graph: + True means we can include the pair + False means we should exclude the pair + """ + n_atoms = len(graph) + exclude_ij = np.full((n_atoms, n_atoms), False) + for dihedral in dihedral_indices: + indices = np.array(np.meshgrid(dihedral, dihedral)).T.reshape(-1, 2) + i, j = indices[:, 0], indices[:, 1] + exclude_ij[i, j] = True + + return ~exclude_ij + + step_size = 2 * unit.femtosecond nsteps = 100 @@ -18,17 +84,17 @@ pdb = app.PDBFile("../../inputs/GAGA.box_0mM.pdb") positions = pdb.getPositions(asNumpy=True).value_in_unit(unit.nanometer) -rna_indices = [] -for i, residue in enumerate(pdb.topology.residues()): - if residue.name in ["A", "U", "G", "C"]: - for atom in residue.atoms(): - if atom.element.name != "hydrogen": - rna_indices.append(atom.index) + +rna_graph, rna_indices = init_graph(pdb.topology) +dihedral_indices = gen_dihedral_indices(rna_graph) +include_ij = calc_include_ij(rna_graph, dihedral_indices) rna_pos = positions.astype("float")[np.asarray(rna_indices)] contact_matrix = sd.squareform(sd.pdist(rna_pos)) < contact_cutoff contacts = np.transpose(np.nonzero(contact_matrix)) -rna_id_contacts = np.array([[rna_indices[i], rna_indices[j]] for i, j in contacts if i != j]) +rna_id_contacts = np.array( + [[rna_indices[i], rna_indices[j]] for i, j in contacts if i != j and include_ij[i, j]] +) # notice that we need to get rid of self-self contact! indices = np.unique(rna_id_contacts) references = positions.astype("float")[np.asarray(indices)] diff --git a/examples/openmm/cv_Q/contact_pairs.npy b/examples/openmm/cv_Q/contact_pairs.npy index f953d2fa983a13c04a657af727e518ef40065f9a..eaed2b7ab7298e40ee063cc4a585545b25dbcc63 100644 GIT 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