Feature Extraction
Transformers
PyTorch
Safetensors
boltz2_automodel
protein-language-model
fastplms
custom_code
Instructions to use Synthyra/Boltz2 with libraries, inference providers, notebooks, and local apps. Follow these links to get started.
- Libraries
- Transformers
How to use Synthyra/Boltz2 with Transformers:
# Use a pipeline as a high-level helper from transformers import pipeline pipe = pipeline("feature-extraction", model="Synthyra/Boltz2", trust_remote_code=True)# Load model directly from transformers import AutoModel model = AutoModel.from_pretrained("Synthyra/Boltz2", trust_remote_code=True, device_map="auto") - Notebooks
- Google Colab
- Kaggle
Upload vb_modules_utils.py with huggingface_hub
Browse files- vb_modules_utils.py +303 -303
vb_modules_utils.py
CHANGED
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@@ -1,303 +1,303 @@
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# started from code from https://github.com/lucidrains/alphafold3-pytorch, MIT License, Copyright (c) 2024 Phil Wang
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from functools import partial
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from typing import Optional
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import torch
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import torch.nn.functional as F
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from torch.nn import (
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Linear,
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Module,
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)
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from torch.types import Device
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LinearNoBias = partial(Linear, bias=False)
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def exists(v):
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return v is not None
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-
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-
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def default(v, d):
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return v if exists(v) else d
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def log(t, eps=1e-20):
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return torch.log(t.clamp(min=eps))
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-
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class SwiGLU(Module):
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def forward(
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self,
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x, #: Float['... d']
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): # -> Float[' ... (d//2)']:
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x, gates = x.chunk(2, dim=-1)
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return F.silu(gates) * x
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def center(atom_coords, atom_mask):
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atom_mean = torch.sum(
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atom_coords * atom_mask[:, :, None], dim=1, keepdim=True
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) / torch.sum(atom_mask[:, :, None], dim=1, keepdim=True)
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atom_coords = atom_coords - atom_mean
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return atom_coords
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-
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-
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def compute_random_augmentation(
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multiplicity, s_trans=1.0, device=None, dtype=torch.float32
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-
):
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R = random_rotations(multiplicity, dtype=dtype, device=device)
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random_trans = (
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torch.randn((multiplicity, 1, 3), dtype=dtype, device=device) * s_trans
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)
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return R, random_trans
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-
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def randomly_rotate(coords, return_second_coords=False, second_coords=None):
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R = random_rotations(len(coords), coords.dtype, coords.device)
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if return_second_coords:
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return torch.einsum("bmd,bds->bms", coords, R), torch.einsum(
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"bmd,bds->bms", second_coords, R
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) if second_coords is not None else None
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return torch.einsum("bmd,bds->bms", coords, R)
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def center_random_augmentation(
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atom_coords,
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atom_mask,
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s_trans=1.0,
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augmentation=True,
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centering=True,
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return_second_coords=False,
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second_coords=None,
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):
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"""Algorithm 19"""
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if centering:
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atom_mean = torch.sum(
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atom_coords * atom_mask[:, :, None], dim=1, keepdim=True
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) / torch.sum(atom_mask[:, :, None], dim=1, keepdim=True)
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atom_coords = atom_coords - atom_mean
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if second_coords is not None:
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# apply same transformation also to this input
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second_coords = second_coords - atom_mean
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if augmentation:
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atom_coords, second_coords = randomly_rotate(
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atom_coords, return_second_coords=True, second_coords=second_coords
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)
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random_trans = torch.randn_like(atom_coords[:, 0:1, :]) * s_trans
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atom_coords = atom_coords + random_trans
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if second_coords is not None:
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second_coords = second_coords + random_trans
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if return_second_coords:
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return atom_coords, second_coords
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return atom_coords
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class ExponentialMovingAverage:
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"""from https://github.com/yang-song/score_sde_pytorch/blob/main/models/ema.py, Apache-2.0 license
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Maintains (exponential) moving average of a set of parameters."""
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def __init__(self, parameters, decay, use_num_updates=True):
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"""
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Args:
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parameters: Iterable of `torch.nn.Parameter`; usually the result of
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`model.parameters()`.
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decay: The exponential decay.
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use_num_updates: Whether to use number of updates when computing
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averages.
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"""
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if decay < 0.0 or decay > 1.0:
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raise ValueError("Decay must be between 0 and 1")
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self.decay = decay
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self.num_updates = 0 if use_num_updates else None
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self.shadow_params = [p.clone().detach() for p in parameters if p.requires_grad]
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self.collected_params = []
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def update(self, parameters):
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"""
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Update currently maintained parameters.
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Call this every time the parameters are updated, such as the result of
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the `optimizer.step()` call.
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Args:
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parameters: Iterable of `torch.nn.Parameter`; usually the same set of
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parameters used to initialize this object.
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"""
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decay = self.decay
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if self.num_updates is not None:
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self.num_updates += 1
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decay = min(decay, (1 + self.num_updates) / (10 + self.num_updates))
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one_minus_decay = 1.0 - decay
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with torch.no_grad():
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parameters = [p for p in parameters if p.requires_grad]
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for s_param, param in zip(self.shadow_params, parameters):
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s_param.sub_(one_minus_decay * (s_param - param))
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def compatible(self, parameters):
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if len(self.shadow_params) != len(parameters):
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print(
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f"Model has {len(self.shadow_params)} parameter tensors, the incoming ema {len(parameters)}"
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)
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return False
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for s_param, param in zip(self.shadow_params, parameters):
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if param.data.shape != s_param.data.shape:
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print(
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f"Model has parameter tensor of shape {s_param.data.shape} , the incoming ema {param.data.shape}"
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)
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return False
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return True
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def copy_to(self, parameters):
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"""
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Copy current parameters into given collection of parameters.
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Args:
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parameters: Iterable of `torch.nn.Parameter`; the parameters to be
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updated with the stored moving averages.
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"""
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parameters = [p for p in parameters if p.requires_grad]
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for s_param, param in zip(self.shadow_params, parameters):
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if param.requires_grad:
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param.data.copy_(s_param.data)
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def store(self, parameters):
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"""
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Save the current parameters for restoring later.
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Args:
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parameters: Iterable of `torch.nn.Parameter`; the parameters to be
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temporarily stored.
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"""
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| 176 |
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self.collected_params = [param.clone() for param in parameters]
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| 178 |
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def restore(self, parameters):
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"""
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Restore the parameters stored with the `store` method.
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Useful to validate the model with EMA parameters without affecting the
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original optimization process. Store the parameters before the
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`copy_to` method. After validation (or model saving), use this to
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restore the former parameters.
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Args:
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| 186 |
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parameters: Iterable of `torch.nn.Parameter`; the parameters to be
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updated with the stored parameters.
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"""
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| 189 |
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for c_param, param in zip(self.collected_params, parameters):
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param.data.copy_(c_param.data)
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| 191 |
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| 192 |
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def state_dict(self):
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| 193 |
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return dict(
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decay=self.decay,
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num_updates=self.num_updates,
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shadow_params=self.shadow_params,
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)
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def load_state_dict(self, state_dict, device):
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self.decay = state_dict["decay"]
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self.num_updates = state_dict["num_updates"]
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self.shadow_params = [
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tensor.to(device) for tensor in state_dict["shadow_params"]
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]
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def to(self, device):
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self.shadow_params = [tensor.to(device) for tensor in self.shadow_params]
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# the following is copied from Torch3D, BSD License, Copyright (c) Meta Platforms, Inc. and affiliates.
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def _copysign(a: torch.Tensor, b: torch.Tensor) -> torch.Tensor:
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"""
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| 215 |
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Return a tensor where each element has the absolute value taken from the,
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corresponding element of a, with sign taken from the corresponding
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element of b. This is like the standard copysign floating-point operation,
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but is not careful about negative 0 and NaN.
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Args:
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a: source tensor.
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b: tensor whose signs will be used, of the same shape as a.
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Returns:
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Tensor of the same shape as a with the signs of b.
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"""
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signs_differ = (a < 0) != (b < 0)
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return torch.where(signs_differ, -a, a)
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| 231 |
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def quaternion_to_matrix(quaternions: torch.Tensor) -> torch.Tensor:
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"""
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Convert rotations given as quaternions to rotation matrices.
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Args:
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quaternions: quaternions with real part first,
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as tensor of shape (..., 4).
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| 238 |
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Returns:
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Rotation matrices as tensor of shape (..., 3, 3).
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"""
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r, i, j, k = torch.unbind(quaternions, -1)
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| 243 |
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# pyre-fixme[58]: `/` is not supported for operand types `float` and `Tensor`.
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two_s = 2.0 / (quaternions * quaternions).sum(-1)
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-
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| 246 |
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o = torch.stack(
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| 247 |
-
(
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1 - two_s * (j * j + k * k),
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two_s * (i * j - k * r),
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two_s * (i * k + j * r),
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two_s * (i * j + k * r),
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1 - two_s * (i * i + k * k),
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two_s * (j * k - i * r),
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two_s * (i * k - j * r),
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two_s * (j * k + i * r),
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1 - two_s * (i * i + j * j),
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),
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| 258 |
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-1,
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)
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return o.reshape(quaternions.shape[:-1] + (3, 3))
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| 262 |
-
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| 263 |
-
def random_quaternions(
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| 264 |
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n: int, dtype: Optional[torch.dtype] = None, device: Optional[Device] = None
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| 265 |
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) -> torch.Tensor:
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| 266 |
-
"""
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| 267 |
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Generate random quaternions representing rotations,
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| 268 |
-
i.e. versors with nonnegative real part.
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| 269 |
-
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| 270 |
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Args:
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| 271 |
-
n: Number of quaternions in a batch to return.
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| 272 |
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dtype: Type to return.
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| 273 |
-
device: Desired device of returned tensor. Default:
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| 274 |
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uses the current device for the default tensor type.
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| 275 |
-
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| 276 |
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Returns:
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| 277 |
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Quaternions as tensor of shape (N, 4).
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| 278 |
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"""
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| 279 |
-
if isinstance(device, str):
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| 280 |
-
device = torch.device(device)
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| 281 |
-
o = torch.randn((n, 4), dtype=dtype, device=device)
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| 282 |
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s = (o * o).sum(1)
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| 283 |
-
o = o / _copysign(torch.sqrt(s), o[:, 0])[:, None]
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| 284 |
-
return o
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| 285 |
-
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| 286 |
-
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| 287 |
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def random_rotations(
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| 288 |
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n: int, dtype: Optional[torch.dtype] = None, device: Optional[Device] = None
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| 289 |
-
) -> torch.Tensor:
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| 290 |
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"""
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| 291 |
-
Generate random rotations as 3x3 rotation matrices.
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| 292 |
-
|
| 293 |
-
Args:
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| 294 |
-
n: Number of rotation matrices in a batch to return.
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| 295 |
-
dtype: Type to return.
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| 296 |
-
device: Device of returned tensor. Default: if None,
|
| 297 |
-
uses the current device for the default tensor type.
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| 298 |
-
|
| 299 |
-
Returns:
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| 300 |
-
Rotation matrices as tensor of shape (n, 3, 3).
|
| 301 |
-
"""
|
| 302 |
-
quaternions = random_quaternions(n, dtype=dtype, device=device)
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| 303 |
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return quaternion_to_matrix(quaternions)
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|
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| 1 |
+
# started from code from https://github.com/lucidrains/alphafold3-pytorch, MIT License, Copyright (c) 2024 Phil Wang
|
| 2 |
+
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| 3 |
+
from functools import partial
|
| 4 |
+
from typing import Optional
|
| 5 |
+
|
| 6 |
+
import torch
|
| 7 |
+
import torch.nn.functional as F
|
| 8 |
+
from torch.nn import (
|
| 9 |
+
Linear,
|
| 10 |
+
Module,
|
| 11 |
+
)
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| 12 |
+
from torch.types import Device
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| 13 |
+
|
| 14 |
+
LinearNoBias = partial(Linear, bias=False)
|
| 15 |
+
|
| 16 |
+
|
| 17 |
+
def exists(v):
|
| 18 |
+
return v is not None
|
| 19 |
+
|
| 20 |
+
|
| 21 |
+
def default(v, d):
|
| 22 |
+
return v if exists(v) else d
|
| 23 |
+
|
| 24 |
+
|
| 25 |
+
def log(t, eps=1e-20):
|
| 26 |
+
return torch.log(t.clamp(min=eps))
|
| 27 |
+
|
| 28 |
+
|
| 29 |
+
class SwiGLU(Module):
|
| 30 |
+
def forward(
|
| 31 |
+
self,
|
| 32 |
+
x, #: Float['... d']
|
| 33 |
+
): # -> Float[' ... (d//2)']:
|
| 34 |
+
x, gates = x.chunk(2, dim=-1)
|
| 35 |
+
return F.silu(gates) * x
|
| 36 |
+
|
| 37 |
+
|
| 38 |
+
def center(atom_coords, atom_mask):
|
| 39 |
+
atom_mean = torch.sum(
|
| 40 |
+
atom_coords * atom_mask[:, :, None], dim=1, keepdim=True
|
| 41 |
+
) / torch.sum(atom_mask[:, :, None], dim=1, keepdim=True)
|
| 42 |
+
atom_coords = atom_coords - atom_mean
|
| 43 |
+
return atom_coords
|
| 44 |
+
|
| 45 |
+
|
| 46 |
+
def compute_random_augmentation(
|
| 47 |
+
multiplicity, s_trans=1.0, device=None, dtype=torch.float32
|
| 48 |
+
):
|
| 49 |
+
R = random_rotations(multiplicity, dtype=dtype, device=device)
|
| 50 |
+
random_trans = (
|
| 51 |
+
torch.randn((multiplicity, 1, 3), dtype=dtype, device=device) * s_trans
|
| 52 |
+
)
|
| 53 |
+
return R, random_trans
|
| 54 |
+
|
| 55 |
+
|
| 56 |
+
def randomly_rotate(coords, return_second_coords=False, second_coords=None):
|
| 57 |
+
R = random_rotations(len(coords), coords.dtype, coords.device)
|
| 58 |
+
|
| 59 |
+
if return_second_coords:
|
| 60 |
+
return torch.einsum("bmd,bds->bms", coords, R), torch.einsum(
|
| 61 |
+
"bmd,bds->bms", second_coords, R
|
| 62 |
+
) if second_coords is not None else None
|
| 63 |
+
|
| 64 |
+
return torch.einsum("bmd,bds->bms", coords, R)
|
| 65 |
+
|
| 66 |
+
|
| 67 |
+
def center_random_augmentation(
|
| 68 |
+
atom_coords,
|
| 69 |
+
atom_mask,
|
| 70 |
+
s_trans=1.0,
|
| 71 |
+
augmentation=True,
|
| 72 |
+
centering=True,
|
| 73 |
+
return_second_coords=False,
|
| 74 |
+
second_coords=None,
|
| 75 |
+
):
|
| 76 |
+
"""Algorithm 19"""
|
| 77 |
+
if centering:
|
| 78 |
+
atom_mean = torch.sum(
|
| 79 |
+
atom_coords * atom_mask[:, :, None], dim=1, keepdim=True
|
| 80 |
+
) / torch.sum(atom_mask[:, :, None], dim=1, keepdim=True)
|
| 81 |
+
atom_coords = atom_coords - atom_mean
|
| 82 |
+
|
| 83 |
+
if second_coords is not None:
|
| 84 |
+
# apply same transformation also to this input
|
| 85 |
+
second_coords = second_coords - atom_mean
|
| 86 |
+
|
| 87 |
+
if augmentation:
|
| 88 |
+
atom_coords, second_coords = randomly_rotate(
|
| 89 |
+
atom_coords, return_second_coords=True, second_coords=second_coords
|
| 90 |
+
)
|
| 91 |
+
random_trans = torch.randn_like(atom_coords[:, 0:1, :]) * s_trans
|
| 92 |
+
atom_coords = atom_coords + random_trans
|
| 93 |
+
|
| 94 |
+
if second_coords is not None:
|
| 95 |
+
second_coords = second_coords + random_trans
|
| 96 |
+
|
| 97 |
+
if return_second_coords:
|
| 98 |
+
return atom_coords, second_coords
|
| 99 |
+
|
| 100 |
+
return atom_coords
|
| 101 |
+
|
| 102 |
+
|
| 103 |
+
class ExponentialMovingAverage:
|
| 104 |
+
"""from https://github.com/yang-song/score_sde_pytorch/blob/main/models/ema.py, Apache-2.0 license
|
| 105 |
+
Maintains (exponential) moving average of a set of parameters."""
|
| 106 |
+
|
| 107 |
+
def __init__(self, parameters, decay, use_num_updates=True):
|
| 108 |
+
"""
|
| 109 |
+
Args:
|
| 110 |
+
parameters: Iterable of `torch.nn.Parameter`; usually the result of
|
| 111 |
+
`model.parameters()`.
|
| 112 |
+
decay: The exponential decay.
|
| 113 |
+
use_num_updates: Whether to use number of updates when computing
|
| 114 |
+
averages.
|
| 115 |
+
"""
|
| 116 |
+
if decay < 0.0 or decay > 1.0:
|
| 117 |
+
raise ValueError("Decay must be between 0 and 1")
|
| 118 |
+
self.decay = decay
|
| 119 |
+
self.num_updates = 0 if use_num_updates else None
|
| 120 |
+
self.shadow_params = [p.clone().detach() for p in parameters if p.requires_grad]
|
| 121 |
+
self.collected_params = []
|
| 122 |
+
|
| 123 |
+
def update(self, parameters):
|
| 124 |
+
"""
|
| 125 |
+
Update currently maintained parameters.
|
| 126 |
+
Call this every time the parameters are updated, such as the result of
|
| 127 |
+
the `optimizer.step()` call.
|
| 128 |
+
Args:
|
| 129 |
+
parameters: Iterable of `torch.nn.Parameter`; usually the same set of
|
| 130 |
+
parameters used to initialize this object.
|
| 131 |
+
"""
|
| 132 |
+
decay = self.decay
|
| 133 |
+
if self.num_updates is not None:
|
| 134 |
+
self.num_updates += 1
|
| 135 |
+
decay = min(decay, (1 + self.num_updates) / (10 + self.num_updates))
|
| 136 |
+
one_minus_decay = 1.0 - decay
|
| 137 |
+
with torch.no_grad():
|
| 138 |
+
parameters = [p for p in parameters if p.requires_grad]
|
| 139 |
+
for s_param, param in zip(self.shadow_params, parameters):
|
| 140 |
+
s_param.sub_(one_minus_decay * (s_param - param))
|
| 141 |
+
|
| 142 |
+
def compatible(self, parameters):
|
| 143 |
+
if len(self.shadow_params) != len(parameters):
|
| 144 |
+
print(
|
| 145 |
+
f"Model has {len(self.shadow_params)} parameter tensors, the incoming ema {len(parameters)}"
|
| 146 |
+
)
|
| 147 |
+
return False
|
| 148 |
+
|
| 149 |
+
for s_param, param in zip(self.shadow_params, parameters):
|
| 150 |
+
if param.data.shape != s_param.data.shape:
|
| 151 |
+
print(
|
| 152 |
+
f"Model has parameter tensor of shape {s_param.data.shape} , the incoming ema {param.data.shape}"
|
| 153 |
+
)
|
| 154 |
+
return False
|
| 155 |
+
return True
|
| 156 |
+
|
| 157 |
+
def copy_to(self, parameters):
|
| 158 |
+
"""
|
| 159 |
+
Copy current parameters into given collection of parameters.
|
| 160 |
+
Args:
|
| 161 |
+
parameters: Iterable of `torch.nn.Parameter`; the parameters to be
|
| 162 |
+
updated with the stored moving averages.
|
| 163 |
+
"""
|
| 164 |
+
parameters = [p for p in parameters if p.requires_grad]
|
| 165 |
+
for s_param, param in zip(self.shadow_params, parameters):
|
| 166 |
+
if param.requires_grad:
|
| 167 |
+
param.data.copy_(s_param.data)
|
| 168 |
+
|
| 169 |
+
def store(self, parameters):
|
| 170 |
+
"""
|
| 171 |
+
Save the current parameters for restoring later.
|
| 172 |
+
Args:
|
| 173 |
+
parameters: Iterable of `torch.nn.Parameter`; the parameters to be
|
| 174 |
+
temporarily stored.
|
| 175 |
+
"""
|
| 176 |
+
self.collected_params = [param.clone() for param in parameters]
|
| 177 |
+
|
| 178 |
+
def restore(self, parameters):
|
| 179 |
+
"""
|
| 180 |
+
Restore the parameters stored with the `store` method.
|
| 181 |
+
Useful to validate the model with EMA parameters without affecting the
|
| 182 |
+
original optimization process. Store the parameters before the
|
| 183 |
+
`copy_to` method. After validation (or model saving), use this to
|
| 184 |
+
restore the former parameters.
|
| 185 |
+
Args:
|
| 186 |
+
parameters: Iterable of `torch.nn.Parameter`; the parameters to be
|
| 187 |
+
updated with the stored parameters.
|
| 188 |
+
"""
|
| 189 |
+
for c_param, param in zip(self.collected_params, parameters):
|
| 190 |
+
param.data.copy_(c_param.data)
|
| 191 |
+
|
| 192 |
+
def state_dict(self):
|
| 193 |
+
return dict(
|
| 194 |
+
decay=self.decay,
|
| 195 |
+
num_updates=self.num_updates,
|
| 196 |
+
shadow_params=self.shadow_params,
|
| 197 |
+
)
|
| 198 |
+
|
| 199 |
+
def load_state_dict(self, state_dict, device):
|
| 200 |
+
self.decay = state_dict["decay"]
|
| 201 |
+
self.num_updates = state_dict["num_updates"]
|
| 202 |
+
self.shadow_params = [
|
| 203 |
+
tensor.to(device) for tensor in state_dict["shadow_params"]
|
| 204 |
+
]
|
| 205 |
+
|
| 206 |
+
def to(self, device):
|
| 207 |
+
self.shadow_params = [tensor.to(device) for tensor in self.shadow_params]
|
| 208 |
+
|
| 209 |
+
|
| 210 |
+
# the following is copied from Torch3D, BSD License, Copyright (c) Meta Platforms, Inc. and affiliates.
|
| 211 |
+
|
| 212 |
+
|
| 213 |
+
def _copysign(a: torch.Tensor, b: torch.Tensor) -> torch.Tensor:
|
| 214 |
+
"""
|
| 215 |
+
Return a tensor where each element has the absolute value taken from the,
|
| 216 |
+
corresponding element of a, with sign taken from the corresponding
|
| 217 |
+
element of b. This is like the standard copysign floating-point operation,
|
| 218 |
+
but is not careful about negative 0 and NaN.
|
| 219 |
+
|
| 220 |
+
Args:
|
| 221 |
+
a: source tensor.
|
| 222 |
+
b: tensor whose signs will be used, of the same shape as a.
|
| 223 |
+
|
| 224 |
+
Returns:
|
| 225 |
+
Tensor of the same shape as a with the signs of b.
|
| 226 |
+
"""
|
| 227 |
+
signs_differ = (a < 0) != (b < 0)
|
| 228 |
+
return torch.where(signs_differ, -a, a)
|
| 229 |
+
|
| 230 |
+
|
| 231 |
+
def quaternion_to_matrix(quaternions: torch.Tensor) -> torch.Tensor:
|
| 232 |
+
"""
|
| 233 |
+
Convert rotations given as quaternions to rotation matrices.
|
| 234 |
+
|
| 235 |
+
Args:
|
| 236 |
+
quaternions: quaternions with real part first,
|
| 237 |
+
as tensor of shape (..., 4).
|
| 238 |
+
|
| 239 |
+
Returns:
|
| 240 |
+
Rotation matrices as tensor of shape (..., 3, 3).
|
| 241 |
+
"""
|
| 242 |
+
r, i, j, k = torch.unbind(quaternions, -1)
|
| 243 |
+
# pyre-fixme[58]: `/` is not supported for operand types `float` and `Tensor`.
|
| 244 |
+
two_s = 2.0 / (quaternions * quaternions).sum(-1)
|
| 245 |
+
|
| 246 |
+
o = torch.stack(
|
| 247 |
+
(
|
| 248 |
+
1 - two_s * (j * j + k * k),
|
| 249 |
+
two_s * (i * j - k * r),
|
| 250 |
+
two_s * (i * k + j * r),
|
| 251 |
+
two_s * (i * j + k * r),
|
| 252 |
+
1 - two_s * (i * i + k * k),
|
| 253 |
+
two_s * (j * k - i * r),
|
| 254 |
+
two_s * (i * k - j * r),
|
| 255 |
+
two_s * (j * k + i * r),
|
| 256 |
+
1 - two_s * (i * i + j * j),
|
| 257 |
+
),
|
| 258 |
+
-1,
|
| 259 |
+
)
|
| 260 |
+
return o.reshape(quaternions.shape[:-1] + (3, 3))
|
| 261 |
+
|
| 262 |
+
|
| 263 |
+
def random_quaternions(
|
| 264 |
+
n: int, dtype: Optional[torch.dtype] = None, device: Optional[Device] = None
|
| 265 |
+
) -> torch.Tensor:
|
| 266 |
+
"""
|
| 267 |
+
Generate random quaternions representing rotations,
|
| 268 |
+
i.e. versors with nonnegative real part.
|
| 269 |
+
|
| 270 |
+
Args:
|
| 271 |
+
n: Number of quaternions in a batch to return.
|
| 272 |
+
dtype: Type to return.
|
| 273 |
+
device: Desired device of returned tensor. Default:
|
| 274 |
+
uses the current device for the default tensor type.
|
| 275 |
+
|
| 276 |
+
Returns:
|
| 277 |
+
Quaternions as tensor of shape (N, 4).
|
| 278 |
+
"""
|
| 279 |
+
if isinstance(device, str):
|
| 280 |
+
device = torch.device(device)
|
| 281 |
+
o = torch.randn((n, 4), dtype=dtype, device=device)
|
| 282 |
+
s = (o * o).sum(1)
|
| 283 |
+
o = o / _copysign(torch.sqrt(s), o[:, 0])[:, None]
|
| 284 |
+
return o
|
| 285 |
+
|
| 286 |
+
|
| 287 |
+
def random_rotations(
|
| 288 |
+
n: int, dtype: Optional[torch.dtype] = None, device: Optional[Device] = None
|
| 289 |
+
) -> torch.Tensor:
|
| 290 |
+
"""
|
| 291 |
+
Generate random rotations as 3x3 rotation matrices.
|
| 292 |
+
|
| 293 |
+
Args:
|
| 294 |
+
n: Number of rotation matrices in a batch to return.
|
| 295 |
+
dtype: Type to return.
|
| 296 |
+
device: Device of returned tensor. Default: if None,
|
| 297 |
+
uses the current device for the default tensor type.
|
| 298 |
+
|
| 299 |
+
Returns:
|
| 300 |
+
Rotation matrices as tensor of shape (n, 3, 3).
|
| 301 |
+
"""
|
| 302 |
+
quaternions = random_quaternions(n, dtype=dtype, device=device)
|
| 303 |
+
return quaternion_to_matrix(quaternions)
|