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| """Source-only, one-edit Brownian/ancestral-gap reference (CPU validation). | |
| Coordinates and Gaussian means are in Angstrom; variances/covariance rates are | |
| in Angstrom squared. This deliberately broad reference does not impose bonds. | |
| Every birth/reset mean places its actual named atoms at the source CA (or the | |
| permanent source-gap CA midpoint). No target or evolving neighbor defines it. | |
| """ | |
| from __future__ import annotations | |
| from dataclasses import dataclass, field, replace | |
| import hashlib | |
| import json | |
| from typing import Any | |
| import numpy as np | |
| AA = "ACDEFGHIKLMNPQRSTVWY" | |
| SIDECHAINS = dict(zip(AA, [ | |
| "CB", "CB SG", "CB CG OD1 OD2", "CB CG CD OE1 OE2", | |
| "CB CG CD1 CD2 CE1 CE2 CZ", "", "CB CG ND1 CD2 NE2", | |
| "CB CG1 CG2 CD1", "CB CG CD CE NZ", "CB CG CD1 CD2", | |
| "CB CG SD CE", "CB CG OD1 ND2", "CB CG CD", "CB CG CD OE1 NE2", | |
| "CB CG CD NE CZ NH1 NH2", "CB OG", "CB OG1 CG2", "CB CG1 CG2", | |
| "CB CG CD1 CD2 NE1 CE2 CE3 CZ2 CZ3 CH2", "CB CG CD1 CD2 CE1 CE2 CZ OH", | |
| ])) | |
| # Histidine includes CE1 as in the deployed real-heavy-atom inventory. | |
| SIDECHAINS["H"] = "CB CG ND1 CD2 CE1 NE2" | |
| NAMES = {a: tuple(["N", "CA", "C", "O"] + SIDECHAINS[a].split()) for a in AA} | |
| BACKBONE_NAMES = ("N", "CA", "C", "O") | |
| def _immutable_array(value, dtype=float): | |
| result = np.array(value, dtype=dtype, copy=True) | |
| result.setflags(write=False) | |
| return result | |
| class Residue: | |
| aa: str | |
| coords: np.ndarray | |
| def __post_init__(self): | |
| if self.aa not in NAMES: | |
| raise ValueError(f"Noncanonical amino acid: {self.aa!r}") | |
| x = _immutable_array(self.coords) | |
| if x.shape != (len(NAMES[self.aa]), 3) or not np.isfinite(x).all(): | |
| raise ValueError(f"{self.aa}: expected finite coordinates for {NAMES[self.aa]}") | |
| object.__setattr__(self, "coords", x) | |
| def names(self): | |
| return NAMES[self.aa] | |
| class Endpoint: | |
| residues: tuple[Residue, ...] | |
| # Target entry j is -1 or the uniquely mandated protected SOURCE origin. | |
| protected_origins: np.ndarray | None = None | |
| def __post_init__(self): | |
| residues = tuple(self.residues) | |
| if not residues or not all(isinstance(r, Residue) for r in residues): | |
| raise ValueError("An endpoint must contain at least one typed residue") | |
| labels = np.full(len(residues), -1, dtype=np.int64) if self.protected_origins is None else self.protected_origins | |
| labels = _immutable_array(labels, np.int64) | |
| if labels.shape != (len(residues),) or np.any(labels < -1): | |
| raise ValueError("protected_origins must have one -1/source-origin label per residue") | |
| nonnegative = labels[labels >= 0] | |
| if len(np.unique(nonnegative)) != len(nonnegative): | |
| raise ValueError("A protected source origin cannot label two target positions") | |
| object.__setattr__(self, "residues", residues) | |
| object.__setattr__(self, "protected_origins", labels) | |
| def sequence(self): | |
| return "".join(r.aa for r in self.residues) | |
| def fingerprint(self): | |
| h = hashlib.sha256(self.sequence.encode()) | |
| h.update(self.protected_origins.tobytes()) | |
| for r in self.residues: | |
| h.update(r.coords.tobytes()) | |
| return h.hexdigest() | |
| def regularize_target(target, sigma_A, rng): | |
| """Draw endpoint-coordinate jitter BEFORE computing emissions/posterior. | |
| Labels, AA identities and actual atom inventories are retained. sigma=0 is | |
| allowed for kernel/oracle diagnostics and denotes point conditioning, not a | |
| finite-KL claim for an absolutely continuous endpoint law. | |
| """ | |
| if not np.isfinite(sigma_A) or sigma_A < 0: | |
| raise ValueError("Endpoint jitter standard deviation must be nonnegative") | |
| return Endpoint(tuple(Residue(r.aa, r.coords + sigma_A * rng.normal(size=r.coords.shape)) | |
| for r in target.residues), target.protected_origins) | |
| class ReferenceConfig: | |
| horizon: float = 1.0 | |
| deletion_rate: float = 0.35 | |
| substitution_rate: float = 0.35 # TOTAL race rate, divided over 19 alternatives | |
| birth_rate: float = 0.1 # per immutable ancestral gap | |
| backbone_diffusion_A2: float = 1.0 | |
| sidechain_diffusion_A2: float = 1.0 | |
| birth_variance_A2: float = 4.0 | |
| reset_variance_A2: float = 4.0 | |
| aa_probabilities: tuple[float, ...] = tuple([1.0 / 20] * 20) | |
| def __post_init__(self): | |
| positive = ("horizon", "backbone_diffusion_A2", "sidechain_diffusion_A2", | |
| "birth_variance_A2", "reset_variance_A2") | |
| for key in positive: | |
| value = getattr(self, key) | |
| if not np.isfinite(value) or value <= 0: | |
| raise ValueError(f"{key} must be finite and strictly positive") | |
| for key in ("deletion_rate", "substitution_rate", "birth_rate"): | |
| value = getattr(self, key) | |
| if not np.isfinite(value) or value < 0: | |
| raise ValueError(f"{key} must be finite and nonnegative") | |
| p = np.asarray(self.aa_probabilities, dtype=float) | |
| if p.shape != (20,) or not np.isfinite(p).all() or np.any(p <= 0): | |
| raise ValueError("All 20 birth AA probabilities must be finite and positive") | |
| if not np.isclose(p.sum(), 1.0, rtol=0, atol=1e-12): | |
| raise ValueError("Birth AA probabilities must already be normalized") | |
| object.__setattr__(self, "aa_probabilities", tuple(p.tolist())) | |
| class SourceCondition: | |
| source: Endpoint | |
| protection: np.ndarray | |
| config: ReferenceConfig = field(default_factory=ReferenceConfig) | |
| # A fixed supplied ligand context is permitted; no target ligand is stored. | |
| fixed_ligand_context: Any = None | |
| requested_shortening: float | None = None | |
| def __post_init__(self): | |
| protection = _immutable_array(self.protection, bool) | |
| if protection.shape != (len(self.source.residues),) or not protection.any(): | |
| raise ValueError("v0 requires a source-length protection mask with >=1 protected original") | |
| object.__setattr__(self, "protection", protection) | |
| def n(self): | |
| return len(self.source.residues) | |
| def beta(self): | |
| return np.full(self.n + 1, self.config.birth_rate) | |
| def race_rates(self, origin): | |
| if self.protection[origin]: | |
| return 0.0, np.zeros(20) | |
| a = self.source.residues[origin].aa | |
| rates = np.full(20, self.config.substitution_rate / 19) | |
| rates[AA.index(a)] = 0 | |
| return self.config.deletion_rate, rates | |
| def original_probabilities(self, origin): | |
| d, s = self.race_rates(origin) | |
| q = d + s.sum() | |
| if q == 0: | |
| return 1.0, 0.0, np.zeros(20) | |
| T = self.config.horizon | |
| # Multiply rates by integrated survival rather than event*rate/q; | |
| # the latter loses small positive support through premature underflow. | |
| integral = T * _negative_exprel(q * T) | |
| return np.exp(-q * T), d * integral, s * integral | |
| def diffusion(self, aa, *, sidechain_only=False): | |
| count = len(NAMES[aa]) | |
| values = np.full((count, 3), self.config.sidechain_diffusion_A2) | |
| values[:4] = self.config.backbone_diffusion_A2 | |
| return values[4:] if sidechain_only else values | |
| def gap_anchor(self, gap): | |
| if not 0 <= gap <= self.n: | |
| raise ValueError("Invalid ancestral gap") | |
| residues = self.source.residues | |
| if gap == 0: | |
| return residues[0].coords[1] | |
| if gap == self.n: | |
| return residues[-1].coords[1] | |
| return (residues[gap - 1].coords[1] + residues[gap].coords[1]) / 2 | |
| def entrance(self, aa, *, gap=None, origin=None): | |
| if (gap is None) == (origin is None): | |
| raise ValueError("Specify exactly one ancestral gap or substitution origin") | |
| is_reset = origin is not None | |
| anchor = self.source.residues[origin].coords[1] if is_reset else self.gap_anchor(gap) | |
| count = len(NAMES[aa]) - (4 if is_reset else 0) | |
| mean = np.broadcast_to(anchor, (count, 3)).copy() | |
| v0 = self.config.reset_variance_A2 if is_reset else self.config.birth_variance_A2 | |
| variance = np.full_like(mean, v0) | |
| return mean, variance, self.diffusion(aa, sidechain_only=is_reset) | |
| def fingerprint(self): | |
| h = hashlib.sha256(self.source.fingerprint().encode()) | |
| h.update(self.protection.tobytes()) | |
| h.update(json.dumps(self.config.__dict__, sort_keys=True).encode()) | |
| return h.hexdigest() | |
| def log_gaussian(value, mean, variance): | |
| """Normalized diagonal-Gaussian log density, including zero-dimensional 1.""" | |
| value, mean = np.asarray(value, float), np.asarray(mean, float) | |
| variance = np.broadcast_to(np.asarray(variance, float), value.shape) | |
| if value.shape != mean.shape or not np.isfinite(value).all() or not np.isfinite(mean).all(): | |
| raise ValueError("Gaussian coordinate shapes/nonfinite values") | |
| if np.any(variance <= 0) or not np.isfinite(variance).all(): | |
| raise ValueError("Gaussian variance must be finite and positive") | |
| return float(-0.5 * np.sum(np.log(2 * np.pi * variance) + (value - mean) ** 2 / variance)) | |
| def bridge_moments(x0, endpoint, diffusion, t, horizon=1.0): | |
| if not 0 <= t <= horizon or horizon <= 0: | |
| raise ValueError("Invalid bridge time") | |
| x0, endpoint, diffusion = np.broadcast_arrays(x0, endpoint, diffusion) | |
| return x0 + (t / horizon) * (endpoint - x0), (t * (horizon - t) / horizon) * diffusion | |
| def entrance_moments(mean0, variance0, diffusion, endpoint, t, horizon=1.0): | |
| """m_t(x) P_(T-t)(x,y) / m_T(y); stable diagonal conditional moments.""" | |
| if not 0 <= t <= horizon or horizon <= 0: | |
| raise ValueError("Invalid entrance-law time") | |
| mean0, variance0, diffusion, endpoint = np.broadcast_arrays(mean0, variance0, diffusion, endpoint) | |
| vt, vT = variance0 + t * diffusion, variance0 + horizon * diffusion | |
| mean = mean0 + vt / vT * (endpoint - mean0) | |
| variance = vt * ((horizon - t) * diffusion) / vT | |
| if np.any(variance < 0) or not np.isfinite(variance).all(): | |
| raise ValueError("Invalid conditional covariance") | |
| return mean, variance | |
| def draw_gaussian(mean, variance, rng): | |
| variance = np.broadcast_to(variance, np.shape(mean)) | |
| if np.any(variance < 0) or not np.isfinite(variance).all(): | |
| raise ValueError("Invalid sampling covariance") | |
| return np.asarray(mean) + np.sqrt(variance) * rng.normal(size=np.shape(mean)) | |
| def conditioned_event_cdf(q, t, horizon=1.0): | |
| if q <= 0 or not 0 <= t <= horizon: | |
| raise ValueError("A conditioned event requires q>0 and valid time") | |
| return float((t / horizon) * _negative_exprel(q * t) / _negative_exprel(q * horizon)) | |
| def conditioned_event_survival(q, t, horizon=1.0): | |
| """Pending-event mass without subtracting a near-one CDF from one.""" | |
| if q <= 0 or not 0 <= t <= horizon: | |
| raise ValueError("A conditioned event requires q>0 and valid time") | |
| return float(np.exp(-q * t) * ((horizon - t) / horizon) | |
| * _negative_exprel(q * (horizon - t)) / _negative_exprel(q * horizon)) | |
| def conditioned_event_hazard(q, t, horizon=1.0): | |
| if q <= 0 or not 0 <= t < horizon: | |
| raise ValueError("A conditioned event requires q>0 and t<T") | |
| return float(1.0 / (horizon - t) / _negative_exprel(q * (horizon - t))) | |
| def _negative_exprel(z): | |
| """(1-exp(-z))/z, with its limit evaluated without subnormal products.""" | |
| if abs(z) < 1e-8: | |
| return 1.0 - z / 2.0 + z * z / 6.0 | |
| return float(-np.expm1(-z) / z) | |
| class CurrentResidue(Residue): | |
| origin: int = -1 | |
| eligible: bool = False | |
| gap: int = -1 | |
| rank: int = -1 | |
| class ModelInputs: | |
| condition: SourceCondition | |
| t: float | |
| residues: tuple[CurrentResidue, ...] | |
| def __post_init__(self): | |
| object.__setattr__(self, "residues", tuple(self.residues)) | |
| if not 0 <= self.t < self.condition.config.horizon: | |
| raise ValueError("Model input time must be in [0,T)") | |
| seen, keys, gap_ranks = set(), [], {} | |
| for r in self.residues: | |
| if r.origin >= 0: | |
| if r.origin >= self.condition.n or r.origin in seen or r.gap != -1 or r.rank != -1: | |
| raise ValueError("Invalid or repeated original ancestry") | |
| seen.add(r.origin) | |
| source = self.condition.source.residues[r.origin] | |
| if self.condition.protection[r.origin] and (r.aa != source.aa or r.eligible): | |
| raise ValueError("Protected original chemistry/eligibility changed") | |
| if r.eligible and r.aa != source.aa: | |
| raise ValueError("Substituted originals must be locked") | |
| keys.append((2 * r.origin + 1, 0)) | |
| else: | |
| if not 0 <= r.gap <= self.condition.n or r.rank < 0 or r.eligible: | |
| raise ValueError("Invalid born-residue ancestral gap/rank/eligibility") | |
| gap_ranks.setdefault(r.gap, []).append(r.rank) | |
| keys.append((2 * r.gap, r.rank)) | |
| if keys != sorted(keys) or len(set(keys)) != len(keys): | |
| raise ValueError("Current chain must preserve ancestral-gap/original ordering") | |
| if any(ranks != list(range(len(ranks))) for ranks in gap_ranks.values()): | |
| raise ValueError("Current born ranks must be consecutive within each gap") | |
| if not set(np.flatnonzero(self.condition.protection)).issubset(seen): | |
| raise ValueError("A protected original disappeared") | |
| def sequence(self): | |
| return "".join(r.aa for r in self.residues) | |
| def apply_delete(state, origin): | |
| selected = [r for r in state.residues if r.origin == origin] | |
| if len(selected) != 1 or not selected[0].eligible: | |
| raise ValueError("Deletion requires an eligible original") | |
| return replace(state, residues=tuple(r for r in state.residues if r.origin != origin)) | |
| def apply_substitute(state, origin, aa, sidechain_coords): | |
| selected = [r for r in state.residues if r.origin == origin] | |
| if len(selected) != 1 or not selected[0].eligible or selected[0].aa == aa: | |
| raise ValueError("Substitution requires eligible original and a different AA") | |
| old = selected[0] | |
| new = CurrentResidue(aa, np.concatenate([old.coords[:4], np.asarray(sidechain_coords)]), | |
| origin=origin, eligible=False) | |
| return replace(state, residues=tuple(new if r is old else r for r in state.residues)) | |
| def apply_insert(state, gap, rank, aa, coords): | |
| count = sum(r.origin < 0 and r.gap == gap for r in state.residues) | |
| if not 0 <= gap <= state.condition.n or not 0 <= rank <= count: | |
| raise ValueError("Invalid ancestral gap or insertion rank") | |
| residues = [replace(r, rank=r.rank + 1) if r.origin < 0 and r.gap == gap and r.rank >= rank else r | |
| for r in state.residues] | |
| residues.append(CurrentResidue(aa, coords, gap=gap, rank=rank)) | |
| residues.sort(key=lambda r: (2 * r.origin + 1, 0) if r.origin >= 0 else (2 * r.gap, r.rank)) | |
| return replace(state, residues=tuple(residues)) | |