Clean up unused Polynomial Cutoff Class from ZBLBasis, remove r_max argument.

mace/modules/models.py

@@ -93,7 +93,7 @@ def __init__(
         )
         edge_feats_irreps = o3.Irreps(f"{self.radial_embedding.out_dim}x0e")
         if pair_repulsion:
-            self.pair_repulsion_fn = ZBLBasis(r_max=r_max, p=num_polynomial_cutoff)
+            self.pair_repulsion_fn = ZBLBasis(p=num_polynomial_cutoff)
             self.pair_repulsion = True
 
         sh_irreps = o3.Irreps.spherical_harmonics(max_ell)

mace/modules/radial.py

@@ -4,6 +4,8 @@
 # This program is distributed under the MIT License (see MIT.md)
 ###########################################################################################
 
+import logging
+
 import ase
 import numpy as np
 import torch
@@ -110,67 +112,70 @@ def forward(self, x: torch.Tensor) -> torch.Tensor:  # [..., 1]
 
 @compile_mode("script")
 class PolynomialCutoff(torch.nn.Module):
-    """
-    Equation (8)
+    """Polynomial cutoff function that goes from 1 to 0 as x goes from 0 to r_max.
+    Equation (8) -- TODO: from where?
     """
 
     p: torch.Tensor
     r_max: torch.Tensor
 
     def __init__(self, r_max: float, p=6):
         super().__init__()
-        self.register_buffer("p", torch.tensor(p, dtype=torch.get_default_dtype()))
+        self.register_buffer("p", torch.tensor(p, dtype=torch.int))
         self.register_buffer(
             "r_max", torch.tensor(r_max, dtype=torch.get_default_dtype())
         )
 
     def forward(self, x: torch.Tensor) -> torch.Tensor:
-        # yapf: disable
+        return self.calculate_envelope(x, self.r_max, self.p.to(torch.int))
+
+    @staticmethod
+    def calculate_envelope(
+        x: torch.Tensor, r_max: torch.Tensor, p: int
+    ) -> torch.Tensor:
+        r_over_r_max = x / r_max
         envelope = (
-                1.0
-                - ((self.p + 1.0) * (self.p + 2.0) / 2.0) * torch.pow(x / self.r_max, self.p)
-                + self.p * (self.p + 2.0) * torch.pow(x / self.r_max, self.p + 1)
-                - (self.p * (self.p + 1.0) / 2) * torch.pow(x / self.r_max, self.p + 2)
+            1.0
+            - ((p + 1.0) * (p + 2.0) / 2.0) * torch.pow(r_over_r_max, p)
+            + p * (p + 2.0) * torch.pow(r_over_r_max, p + 1)
+            - (p * (p + 1.0) / 2) * torch.pow(r_over_r_max, p + 2)
         )
-        # yapf: enable
-
-        # noinspection PyUnresolvedReferences
-        return envelope * (x < self.r_max)
+        return envelope * (x < r_max)
 
     def __repr__(self):
         return f"{self.__class__.__name__}(p={self.p}, r_max={self.r_max})"
 
 
 @compile_mode("script")
 class ZBLBasis(torch.nn.Module):
-    """
-    Implementation of the Ziegler-Biersack-Littmark (ZBL) potential
+    """Implementation of the Ziegler-Biersack-Littmark (ZBL) potential
+    with a polynomial cutoff envelope.
     """
 
     p: torch.Tensor
-    r_max: torch.Tensor
 
-    def __init__(self, r_max: float, p=6, trainable=False):
+    def __init__(self, p=6, trainable=False, **kwargs):
         super().__init__()
-        self.register_buffer(
-            "r_max", torch.tensor(r_max, dtype=torch.get_default_dtype())
-        )
+        if "r_max" in kwargs:
+            logging.warning(
+                "r_max is deprecated. r_max is determined from the covalent radii."
+            )
+
         # Pre-calculate the p coefficients for the ZBL potential
         self.register_buffer(
             "c",
             torch.tensor(
                 [0.1818, 0.5099, 0.2802, 0.02817], dtype=torch.get_default_dtype()
             ),
         )
-        self.register_buffer("p", torch.tensor(p, dtype=torch.get_default_dtype()))
+        self.register_buffer("p", torch.tensor(p, dtype=torch.int))
         self.register_buffer(
             "covalent_radii",
             torch.tensor(
                 ase.data.covalent_radii,
                 dtype=torch.get_default_dtype(),
             ),
         )
-        self.cutoff = PolynomialCutoff(r_max, p)
         if trainable:
             self.a_exp = torch.nn.Parameter(torch.tensor(0.300, requires_grad=True))
             self.a_prefactor = torch.nn.Parameter(
@@ -208,12 +213,7 @@ def forward(
         )
         v_edges = (14.3996 * Z_u * Z_v) / x * phi
         r_max = self.covalent_radii[Z_u] + self.covalent_radii[Z_v]
-        envelope = (
-            1.0
-            - ((self.p + 1.0) * (self.p + 2.0) / 2.0) * torch.pow(x / r_max, self.p)
-            + self.p * (self.p + 2.0) * torch.pow(x / r_max, self.p + 1)
-            - (self.p * (self.p + 1.0) / 2) * torch.pow(x / r_max, self.p + 2)
-        ) * (x < r_max)
+        envelope = PolynomialCutoff.calculate_envelope(x, r_max, self.p)
         v_edges = 0.5 * v_edges * envelope
         V_ZBL = scatter_sum(v_edges, receiver, dim=0, dim_size=node_attrs.size(0))
         return V_ZBL.squeeze(-1)
@@ -224,8 +224,8 @@ def __repr__(self):
 
 @compile_mode("script")
 class AgnesiTransform(torch.nn.Module):
-    """
-    Agnesi transform see ACEpotentials.jl, JCP 2023, p. 160
+    """Agnesi transform - see section on Radial transformations in
+    ACEpotentials.jl, JCP 2023 (https://doi.org/10.1063/5.0158783).
     """
 
     def __init__(
@@ -265,21 +265,27 @@ def forward(
         )
         Z_u = node_atomic_numbers[sender]
         Z_v = node_atomic_numbers[receiver]
-        r_0 = 0.5 * (self.covalent_radii[Z_u] + self.covalent_radii[Z_v])
+        r_0: torch.Tensor = 0.5 * (self.covalent_radii[Z_u] + self.covalent_radii[Z_v])
+        r_over_r_0 = x / r_0
         return (
-            1 + (self.a * ((x / r_0) ** self.q) / (1 + (x / r_0) ** (self.q - self.p)))
-        ) ** (-1)
+            1
+            + (
+                self.a
+                * torch.pow(r_over_r_0, self.q)
+                / (1 + torch.pow(r_over_r_0, self.q - self.p))
+            )
+        ).reciprocal_()
 
     def __repr__(self):
-        return f"{self.__class__.__name__}(a={self.a}, q={self.q}, p={self.p})"
+        return (
+            f"{self.__class__.__name__}(a={self.a:.4f}, q={self.q:.4f}, p={self.p:.4f})"
+        )
 
 
 @simplify_if_compile
 @compile_mode("script")
 class SoftTransform(torch.nn.Module):
-    """
-    Soft Transform
-    """
+    """Soft Transform."""
 
     def __init__(self, a: float = 0.2, b: float = 3.0, trainable=False):
         super().__init__()
@@ -312,9 +318,10 @@ def forward(
         Z_u = node_atomic_numbers[sender]
         Z_v = node_atomic_numbers[receiver]
         r_0 = (self.covalent_radii[Z_u] + self.covalent_radii[Z_v]) / 4
+        r_over_r_0 = x / r_0
         y = (
             x
-            + (1 / 2) * torch.tanh(-(x / r_0) - self.a * ((x / r_0) ** self.b))
+            + (1 / 2) * torch.tanh(-r_over_r_0 - self.a * torch.pow(r_over_r_0, self.b))
             + 1 / 2
         )
         return y

tests/modules/test_radial.py

@@ -0,0 +1,83 @@
+import pytest
+import torch
+from mace.modules.radial import ZBLBasis, AgnesiTransform
+
+@pytest.fixture
+def zbl_basis():
+    return ZBLBasis(p=6, trainable=False)
+
+def test_zbl_basis_initialization(zbl_basis):
+    assert zbl_basis.p == torch.tensor(6.0)
+    assert torch.allclose(zbl_basis.c, torch.tensor([0.1818, 0.5099, 0.2802, 0.02817]))
+
+    assert zbl_basis.a_exp == torch.tensor(0.300)
+    assert zbl_basis.a_prefactor == torch.tensor(0.4543)
+    assert not zbl_basis.a_exp.requires_grad
+    assert not zbl_basis.a_prefactor.requires_grad
+
+def test_trainable_zbl_basis_initialization(zbl_basis):
+    zbl_basis = ZBLBasis(p=6, trainable=True)
+    assert zbl_basis.p == torch.tensor(6.0)
+    assert torch.allclose(zbl_basis.c, torch.tensor([0.1818, 0.5099, 0.2802, 0.02817]))
+
+    assert zbl_basis.a_exp == torch.tensor(0.300)
+    assert zbl_basis.a_prefactor == torch.tensor(0.4543)
+    assert zbl_basis.a_exp.requires_grad
+    assert zbl_basis.a_prefactor.requires_grad
+
+def test_forward(zbl_basis):
+    x = torch.tensor([1.0, 1.0, 2.0]).unsqueeze(-1)  # [n_edges]
+    node_attrs = torch.tensor([[1, 0], [0, 1]])  # [n_nodes, n_node_features] - one_hot encoding of atomic numbers
+    edge_index = torch.tensor([[0, 1, 1], [1, 0, 1]])  # [2, n_edges]
+    atomic_numbers = torch.tensor([1, 6])  # [n_nodes]
+    output = zbl_basis(x, node_attrs, edge_index, atomic_numbers)
+
+    assert output.shape == torch.Size([node_attrs.shape[0]])
+    assert torch.is_tensor(output)
+    assert torch.allclose(
+        output,
+        torch.tensor([0.0031, 0.0031], dtype=torch.get_default_dtype()),
+        rtol=1e-2
+    )
+
+@pytest.fixture
+def agnesi():
+    return AgnesiTransform(trainable=False)
+
+def test_agnesi_transform_initialization(agnesi: AgnesiTransform):
+    assert agnesi.q.item() == pytest.approx(0.9183, rel=1e-4)
+    assert agnesi.p.item() == pytest.approx(4.5791, rel=1e-4)
+    assert agnesi.a.item() == pytest.approx(1.0805, rel=1e-4)
+    assert not agnesi.a.requires_grad
+    assert not agnesi.q.requires_grad
+    assert not agnesi.p.requires_grad
+
+def test_trainable_agnesi_transform_initialization():
+    agnesi = AgnesiTransform(trainable=True)
+
+    assert agnesi.q.item() == pytest.approx(0.9183, rel=1e-4)
+    assert agnesi.p.item() == pytest.approx(4.5791, rel=1e-4)
+    assert agnesi.a.item() == pytest.approx(1.0805, rel=1e-4)
+    assert agnesi.a.requires_grad
+    assert agnesi.q.requires_grad
+    assert agnesi.p.requires_grad
+
+def test_agnesi_transform_forward():
+    agnesi = AgnesiTransform()
+    x = torch.tensor([1.0, 2.0, 3.0], dtype=torch.get_default_dtype()).unsqueeze(-1)
+    node_attrs = torch.tensor([[0, 1], [1, 0], [0, 1]], dtype=torch.get_default_dtype())
+    edge_index = torch.tensor([[0, 1, 2], [1, 2, 0]])
+    atomic_numbers = torch.tensor([1, 6, 8])
+    output = agnesi(x, node_attrs, edge_index, atomic_numbers)
+    assert output.shape == x.shape
+    assert torch.is_tensor(output)
+    assert torch.allclose(
+        output,
+        torch.tensor(
+            [0.3646, 0.2175, 0.2089], dtype=torch.get_default_dtype()
+        ).unsqueeze(-1),
+        rtol=1e-2
+    )
+
+if __name__ == "__main__":
+    pytest.main([__file__])