From 659a09f0324c6c841ee2590adada64609c0e8932 Mon Sep 17 00:00:00 2001 From: Karen Ehrhardt Date: Wed, 10 Jun 2026 16:29:59 -0700 Subject: [PATCH 01/45] torch-native elliptical calibration --- src/quantem/diffraction/ellipticity.py | 400 +++++++++++++++++++++++++ tests/diffraction/test_ellipse_fit.py | 210 +++++++++++++ 2 files changed, 610 insertions(+) create mode 100644 src/quantem/diffraction/ellipticity.py create mode 100644 tests/diffraction/test_ellipse_fit.py diff --git a/src/quantem/diffraction/ellipticity.py b/src/quantem/diffraction/ellipticity.py new file mode 100644 index 000000000..0268e21ca --- /dev/null +++ b/src/quantem/diffraction/ellipticity.py @@ -0,0 +1,400 @@ +import numpy as np +import torch +import torch.nn.functional as F +from numpy.typing import NDArray + +from quantem.core.datastructures.dataset2d import Dataset2d +from quantem.core.datastructures.dataset4dstem import Dataset4dstem + + +# --------------------------------------------------------------------------- +# Main API +# --------------------------------------------------------------------------- + + +def fit_elliptical_distortion( + data: Dataset4dstem | Dataset2d, + center: tuple[float, float], + fit_radii: tuple[float, float], + p0: torch.Tensor | None = None, + mask: NDArray | torch.Tensor | None = None, + device: str = "cpu", + max_iter: int = 500, + lr: float = 0.5, + write_metadata: bool = True, +) -> dict: + """Fit elliptical distortion from the mean diffraction pattern. + + Fits a central-beam Gaussian + a two-sided ("Janus") elliptical ring + a constant background to the + mean diffraction pattern. The ellipse is parameterized in + **canonical-conic** form ``(A, B, C)`` — which stays smooth through + the circular point (no theta degeneracy at low ellipticity). + + Model + ----- + Let ``u_col = col - col0`` and ``u_row = row - row0`` be the pixel + offsets from the fitted center. The ring is the level set of the + form: + + A·u_col² + B·u_col·u_row + C·u_row² = 1 + + with semiaxes ``a`` and ``b`` derived from (A, B, C) (see + :func:`convert_ellipse_params`) and mean ring radius + ``R = (a + b) / 2``. Define an ellipse-adapted radial coordinate ρ + that is 0 at the center, R on the ring, and grows linearly along every ray from + the center. Iso-ρ contours are concentric ellipses similar to + the ring. In pixel units: + + ρ = R · √(A·u_col² + B·u_col·u_row + C·u_row²) + + For a circle, ρ reduces to the ordinary Euclidean radius + ``√(u_col² + u_row²)``. The model intensity is: + + f = I0 · exp(-ρ² / (2·σ0²)) # central beam + + I1 · exp(-(ρ - R)² / (2·σ1²)) · Θ(R - ρ) # inner ring half + + I1 · exp(-(ρ - R)² / (2·σ2²)) · Θ(ρ - R) # outer ring half + + c_bkgd + + where Θ is the Heaviside step. Inner and outer halves share the same + amplitude I1 and meet continuously at ρ = R, but with different + half-widths σ1 (inside the ring) and σ2 (outside). The 11 fit + parameters ``(I0, I1, σ0, σ1, σ2, c_bkgd, row0, col0, A, B, C)`` are + described under :func:`_amorphous_ring_model`. The central beam + shares the elliptical metric, so its iso-intensity contours are + ellipses concentric with the ring. + + Algorithm + --------- + The mean DP is reduced once over all scan positions (or used + directly for 2D input). The fit minimizes the loss over pixels in + the annulus ``fit_radii``, using torch Adam. Softplus + conic rescale gives us GPU-compatible gradients + and built-in positivity. + + Parameters + ---------- + data : Dataset4dstem or Dataset2d + ``Dataset4dstem`` is averaged over scan + positions to produce the mean DP. ``Dataset2d`` (e.g. SAED) is + used directly. + center : (float, float) + Approximate (row, col) center; refined to sub-pixel by the fit + via the ``row0, col0`` offset parameters. + fit_radii : (float, float) + Inner and outer radii in pixels of the annular fit region. The + annulus should bracket the ring and exclude the central beam. + p0 : Tensor or None + Optional initial guess for all 11 model parameters in the order + ``(I0, I1, σ0, σ1, σ2, c_bkgd, row0, col0, A, B, C)`` (see + :func:`_amorphous_ring_model`). If ``None``, all 11 are + auto-estimated. + mask : ndarray, Tensor, or None + Optional boolean mask of shape ``(n_row, n_col)``. + ``True`` = exclude pixel. + device : str + Torch device for the fit. + max_iter : int + Number of Adam iterations. + lr : float + Adam learning rate. + write_metadata : bool + If True (default), stamp ``data.metadata["ellipticity"]`` with + the fitted ``(a, b, theta_deg)``. + + Returns + ------- + dict with keys: + "ellipse_params" : (a, b, theta_deg) + Semimajor axis, semiminor axis (``a ≥ b``), and tilt of the + semimajor axis measured from the column axis toward the row + axis, in degrees, in the range ``[-90, 90)``. Usable + directly as the ``ellipse_params`` argument of + :func:`polar_transform`. + "center" : (row, col) + Refined center = ``center + (row0, col0)``. + "fit_params" : Tensor of shape (11,) + All 11 fitted parameters in canonical-conic form. Recover + ``(a, b, θ_rad)`` from the last three with + :func:`convert_ellipse_params`. + "cost" : float + Sum of squared residuals over the fit region at the + best-loss iterate. + """ + # Compute mean DP over all scan positions + data_t = ( + torch.from_numpy(np.ascontiguousarray(data.array)) + if data.array is not None + else data.tensor + ) + if data_t.ndim == 4: + mean_dp = data_t.mean(dim=(0, 1), dtype=torch.float32) + elif data_t.ndim == 2: + mean_dp = data_t.to(torch.float32) + else: + raise ValueError( + f"Got data with shape {tuple(data.shape)}. Expected a 2D or 4D-STEM dataset." + ) + + dp_t = mean_dp.to(device) + n_row, n_col = dp_t.shape + center_row, center_col = float(center[0]), float(center[1]) + r_inner, r_outer = float(fit_radii[0]), float(fit_radii[1]) + # Build coordinate grids relative to center + row_offsets = torch.arange(n_row, dtype=torch.float32, device=device) - center_row + col_offsets = torch.arange(n_col, dtype=torch.float32, device=device) - center_col + offset_row_grid, offset_col_grid = torch.meshgrid(row_offsets, col_offsets, indexing="ij") + r_grid = torch.sqrt(offset_col_grid**2 + offset_row_grid**2) + # Select pixels and data in annular region + annular_mask = (r_grid > r_inner) & (r_grid < r_outer) + if mask is not None: + if isinstance(mask, np.ndarray): + mask_t = torch.from_numpy(mask.astype(bool)).to(device) + else: + mask_t = mask.bool().to(device) + annular_mask = annular_mask & ~mask_t + offset_row_fit = offset_row_grid[annular_mask] + offset_col_fit = offset_col_grid[annular_mask] + val_fit = dp_t[annular_mask] + if val_fit.numel() == 0: + raise ValueError("No pixels in the fitting annulus. Check center and fit_radii.") + + # Auto-estimate initial parameters if not provided + if p0 is None: + # Radial integral (r-weighted) to find ring peak. + # Weighting by r suppresses the central beam contribution. + r_flat = r_grid[annular_mask] + # make a binned 1d hist to find ring peak + nbins = max(int(r_outer - r_inner), 10) + bin_step = (r_outer - r_inner) / nbins + bin_idx = ((r_flat - r_inner) / bin_step).long().clamp(0, nbins - 1) + radial_integral = torch.zeros(nbins, device=device).scatter_add_(0, bin_idx, val_fit) + # get ring peak's radius in pixels (bin center) + peak_idx = int(radial_integral.argmax().item()) + R_init = float(r_inner + (peak_idx + 0.5) * bin_step) + # set init param guesses + c_bkgd_init = max(float(val_fit.min()), 0.0) + near_ring = val_fit[(r_flat - R_init).abs() < 3.0] + if near_ring.numel() == 0: + raise ValueError( + f"No annulus pixels within 3 px of R_init={R_init:.1f}. " + "Annulus is too narrow or fit_radii is misaligned with the ring." + ) + I1_init = max(float(near_ring.mean()) - c_bkgd_init, 1.0) + I0_init = max(float(dp_t[int(center_row), int(center_col)]) - c_bkgd_init, 1.0) + # All sigmas in pixel units + sigma0_init = R_init * 0.3 + sigma1_init = R_init * 0.15 + sigma2_init = R_init * 0.2 + + A_init, B_init, C_init = convert_ellipse_params_r(R_init, R_init, 0.0) + p0 = torch.tensor( + [ + I0_init, + I1_init, + sigma0_init, + sigma1_init, + sigma2_init, + c_bkgd_init, + 0.0, # row0 offset (relative to provided center) + 0.0, # col0 offset + A_init, # conic A (init as circle of radius R_init) + B_init, # conic B + C_init, # conic C + ], + dtype=torch.float32, + device=device, + ) + else: + if isinstance(p0, np.ndarray): + p0 = torch.from_numpy(p0.astype(np.float32)).to(device) + p0 = p0.float().to(device) + + def _inv_softplus(x: float) -> float: + """Inverse of softplus: log(exp(x) - 1).""" + if x > 20.0: + return x + return float(np.log(np.expm1(x))) + + # Optimize an unconstrained raw, the live param is softplus(raw) > 0 to + # ensure positivity. Adam can step a param through zero, so this guard is needed. + _POS_IDX = [0, 1, 2, 3, 4, 5, 8, 10] # I0, I1, sigma0-2, c_bkgd, A, C + _CONIC_IDX = [8, 9, 10] # A, B, C + # Conic rescale by R0^2. The conic equation A·u²+B·uv+C·v² = 1 forces + # A,B,C ~ 1/R² physically, but LR is tuned for the larger params, so without + # this rescale (A,B,C) would barely move. We pick R0 from the initial + # circle init and hold it fixed during optimization to avoid feedback loops. + a0, b0, _ = convert_ellipse_params( + float(p0[8]), + float(p0[9]), + float(p0[10]), + ) + R2 = ((a0 + b0) / 2.0) ** 2 + raw = p0.clone() + for i in _CONIC_IDX: + raw[i] = raw[i] * R2 + for i in _POS_IDX: + raw[i] = _inv_softplus(max(float(raw[i]), 1e-6)) + raw = raw.requires_grad_(True) + + def _to_physical(raw_params: torch.Tensor) -> torch.Tensor: + """Map unconstrained raw params to physical params.""" + phys = raw_params.clone() + for i in _POS_IDX: + phys[i] = F.softplus(raw_params[i]) + for i in _CONIC_IDX: + phys[i] = phys[i] / R2 + return phys + + optimizer = torch.optim.Adam([raw], lr=lr) + # Track the best iterate seen + best_loss = float("inf") + best_raw = raw.detach().clone() + for _ in range(max_iter): + optimizer.zero_grad() + phys = _to_physical(raw) + model_vals = _amorphous_ring_model(phys, offset_row_fit, offset_col_fit) + loss = ((model_vals - val_fit) ** 2).mean() + lv = loss.item() + if lv < best_loss: + best_loss = lv + best_raw = raw.detach().clone() + loss.backward() + optimizer.step() + with torch.no_grad(): + # the canonical conic is an ellipse if B² < 4·A·C. + # A and C stay > 0 from softplus; clamping |B| < 2·√(A·C)·0.999 + # enforces B² < 4·A·C strictly. + A_hat = F.softplus(raw[8]) + C_hat = F.softplus(raw[10]) + B_hat_max = 2.0 * torch.sqrt(A_hat * C_hat) * 0.999 + raw[9].clamp_(-B_hat_max, B_hat_max) + # Extract final parameters + with torch.no_grad(): + final_params = _to_physical(best_raw) + final_loss = best_loss * float(val_fit.numel()) + a_fit, b_fit, theta_fit_rad = convert_ellipse_params( + float(final_params[8]), + float(final_params[9]), + float(final_params[10]), + ) + theta_fit_deg = float(np.degrees(theta_fit_rad)) + # Normalize angle to [-90, 90) + theta_fit_deg = ((theta_fit_deg + 90.0) % 180.0) - 90.0 + # Refined center = nominal center + fitted offset + refined_row = center_row + float(final_params[6]) + refined_col = center_col + float(final_params[7]) + if write_metadata: + data.metadata["ellipticity"] = (a_fit, b_fit, theta_fit_deg) + return { + "ellipse_params": (a_fit, b_fit, theta_fit_deg), + "center": (refined_row, refined_col), + "fit_params": final_params, + "cost": final_loss, + } + + +def _amorphous_ring_model( + params: torch.Tensor, + offset_row: torch.Tensor, + offset_col: torch.Tensor, +) -> torch.Tensor: + """Evaluate a parametric amorphous ring diffraction model. + + The model consists of a central-beam Gaussian, an asymmetric Gaussian ring + (with separate inner and outer half-widths), and a constant background. + Both the central beam and the ring share an elliptical radial metric + given by ``A*x^2 + B*x*y + C*y^2 = 1`` (x = column offset, y = row offset + from the fitted center). + + Parameters + ---------- + params : torch.Tensor + 11 model parameters: (I0, I1, sigma0, sigma1, sigma2, c_bkgd, + row0, col0, A, B, C) where: + - I0: central beam peak intensity + - I1: ring peak intensity + - sigma0: central beam width in pixels + - sigma1: ring inner half-width in pixels + - sigma2: ring outer half-width in pixels + - c_bkgd: constant background + - row0, col0: center offsets from nominal center in pixels + - A, B, C: canonical conic parameters; the ring lies on + ``A*u_col^2 + B*u_col*u_row + C*u_row^2 = 1`` + offset_row : torch.Tensor + Row pixel offsets from the nominal center. + offset_col : torch.Tensor + Column pixel offsets from the nominal center. + + Returns + ------- + torch.Tensor + Model intensity values at each (offset_row, offset_col) position. + """ + I0, I1, sigma0, sigma1, sigma2, c_bkgd, row0, col0, A, B, C = params + # Shift coordinates by fitted center offset + u_col = offset_col - col0 + u_row = offset_row - row0 + # Ring radius in pixels = mean semiaxis; rescale the conic by R^2 so the + # elliptical radial coordinate r is in pixel units (r = R on the ring) + a, b = _ellipse_semiaxes(A, B, C) + ring_radius = (a + b) / 2.0 + r2 = ring_radius**2 * (A * u_col**2 + B * u_col * u_row + C * u_row**2) + r_elliptical = torch.sqrt(torch.clamp(r2, min=1e-12)) + # Central beam Gaussian in the shared elliptical metric + central = I0 * torch.exp(-r2 / (2.0 * sigma0**2)) + # Asymmetric ring: deviation from the ring radius, in pixel units + dr_pixels = r_elliptical - ring_radius + inner_mask = (dr_pixels < 0).float() + outer_mask = 1.0 - inner_mask + ring = I1 * ( + inner_mask * torch.exp(-(dr_pixels**2) / (2.0 * sigma1**2)) + + outer_mask * torch.exp(-(dr_pixels**2) / (2.0 * sigma2**2)) + ) + return central + ring + c_bkgd + + +# --------------------------------------------------------------------------- +# Helpers +# --------------------------------------------------------------------------- + + +def convert_ellipse_params(A: float, B: float, C: float) -> tuple[float, float, float]: + """Convert canonical-conic ellipse parameters to semiaxes and tilt.""" + val = np.sqrt((A - C) ** 2 + B**2) + b4a = B**2 - 4.0 * A * C + if B == 0: + theta = 0.0 if A < C else np.pi / 2.0 + else: + theta = np.arctan2((C - A - val), B) + a = -np.sqrt(-2.0 * b4a * (A + C + val)) / b4a + b = -np.sqrt(-2.0 * b4a * (A + C - val)) / b4a + a, b = max(a, b), min(a, b) + return float(a), float(b), float(theta) + + +def convert_ellipse_params_r(a: float, b: float, theta: float) -> tuple[float, float, float]: + """Convert ellipse semiaxes and tilt to canonical-conic parameters. + Inverse of :func:`convert_ellipse_params`. + """ + sin2, cos2 = np.sin(theta) ** 2, np.cos(theta) ** 2 + a2, b2 = a**2, b**2 + A = sin2 / b2 + cos2 / a2 + C = cos2 / b2 + sin2 / a2 + B = 2.0 * (b2 - a2) * np.sin(theta) * np.cos(theta) / (a2 * b2) + return float(A), float(B), float(C) + + +def _ellipse_semiaxes( + A: torch.Tensor, B: torch.Tensor, C: torch.Tensor +) -> tuple[torch.Tensor, torch.Tensor]: + """Differentiable semiaxis lengths of the conic ``A*x^2 + B*x*y + C*y^2 = 1``. + + Torch counterpart of the (a, b) part of :func:`convert_ellipse_params`, + used inside the fit model. The clamps guard the sqrt at the circular + point (where ``(A - C)**2 + B**2 == 0``) and keep the discriminant + strictly negative so gradients stay finite. + """ + val = torch.sqrt(torch.clamp((A - C) ** 2 + B**2, min=1e-24)) + b4a = torch.clamp(B**2 - 4.0 * A * C, max=-1e-24) + a = -torch.sqrt(torch.clamp(-2.0 * b4a * (A + C + val), min=1e-24)) / b4a + b = -torch.sqrt(torch.clamp(-2.0 * b4a * (A + C - val), min=1e-24)) / b4a + return a, b diff --git a/tests/diffraction/test_ellipse_fit.py b/tests/diffraction/test_ellipse_fit.py new file mode 100644 index 000000000..c32aaf56d --- /dev/null +++ b/tests/diffraction/test_ellipse_fit.py @@ -0,0 +1,210 @@ +"""Tests for elliptical distortion fitting from amorphous ring patterns.""" + +import numpy as np +import pytest +import torch + +from quantem.core.datastructures.dataset4dstem import Dataset4dstem +from quantem.diffraction.ellipticity import ( + _amorphous_ring_model, + convert_ellipse_params, + convert_ellipse_params_r, + fit_elliptical_distortion, +) +from quantem.diffraction.polar_transform import polar_transform + + +def _make_synthetic_dataset( + n_row: int = 256, + n_col: int = 256, + center: tuple[float, float] = (128.0, 128.0), + a: float = 80.0, + b: float = 60.0, + theta_deg: float = 30.0, + I0: float = 1000.0, + I1: float = 50.0, + sigma0: float = 20.0, + sigma1: float = 10.0, + sigma2: float = 14.0, + c_bkgd: float = 2.0, + noise: bool = True, +) -> Dataset4dstem: + """Generate a synthetic 4D-STEM dataset (1x1 scan) with known elliptical distortion.""" + row_offsets = torch.arange(n_row, dtype=torch.float32) - center[0] + col_offsets = torch.arange(n_col, dtype=torch.float32) - center[1] + offset_row, offset_col = torch.meshgrid(row_offsets, col_offsets, indexing="ij") + + A, B, C = convert_ellipse_params_r(a, b, np.radians(theta_deg)) + params = torch.tensor( + [I0, I1, sigma0, sigma1, sigma2, c_bkgd, 0.0, 0.0, A, B, C], + dtype=torch.float32, + ) + dp = _amorphous_ring_model(params, offset_row.reshape(-1), offset_col.reshape(-1)) + dp = dp.reshape(n_row, n_col).numpy() + if noise: + dp = np.maximum(dp, 0.0) + rng = np.random.default_rng(42) + dp = rng.poisson(dp).astype(np.float32) + + # Wrap as a 1x1 scan 4D-STEM dataset + arr_4d = dp[np.newaxis, np.newaxis, :, :] + return Dataset4dstem.from_array(arr_4d, name="synthetic") + + +class TestConvertEllipseParams: + """Tests for the (a, b, theta) <-> (A, B, C) converters.""" + + @pytest.mark.parametrize( + "a,b,theta_deg", + [(80.0, 60.0, 30.0), (70.0, 70.0, 0.0)], # general ellipse + circle (θ-undefined branch) + ) + def test_round_trip(self, a, b, theta_deg): + """(a, b, theta) -> (A, B, C) -> (a, b, theta) should be the identity.""" + A, B, C = convert_ellipse_params_r(a, b, np.radians(theta_deg)) + a_back, b_back, theta_back = convert_ellipse_params(A, B, C) + assert abs(a_back - a) < 1e-6 * a + assert abs(b_back - b) < 1e-6 * b + if a != b: # theta is undefined for a circle + angle_err = abs(((np.degrees(theta_back) - theta_deg) + 90.0) % 180.0 - 90.0) + assert angle_err < 1e-6 + + +class TestAmorphousRingModel: + """Tests for the _amorphous_ring_model function.""" + + def test_circular_ring_peak_at_radius(self): + """Model should peak at the ring radius for a circular ring.""" + R = 50.0 + A, B, C = convert_ellipse_params_r(R, R, 0.0) + params = torch.tensor( + [0.0, 100.0, 10.0, 5.0, 5.0, 0.0, 0.0, 0.0, A, B, C], + dtype=torch.float32, + ) + # Sample along the column axis at various radii + offset_col = torch.linspace(0, 80, 200) + offset_row = torch.zeros_like(offset_col) + vals = _amorphous_ring_model(params, offset_row, offset_col) + peak_r = float(offset_col[vals.argmax()]) + assert abs(peak_r - R) < 1.0, f"Peak at {peak_r}, expected ~{R}" + + def test_background_far_from_ring(self): + """Far from the ring and center, model should return ~c_bkgd.""" + R = 50.0 + c_bkgd = 5.0 + A, B, C = convert_ellipse_params_r(R, R, 0.0) + params = torch.tensor( + [100.0, 100.0, 5.0, 3.0, 3.0, c_bkgd, 0.0, 0.0, A, B, C], + dtype=torch.float32, + ) + # Very far from center and ring + offset_row = torch.tensor([200.0]) + offset_col = torch.tensor([200.0]) + val = float(_amorphous_ring_model(params, offset_row, offset_col)) + assert abs(val - c_bkgd) < 1.0, f"Expected ~{c_bkgd}, got {val}" + + +class TestFitEllipticalDistortion: + """Tests for fit_elliptical_distortion.""" + + def test_recover_known_ellipse(self): + """Fit should recover known ellipse params from a synthetic pattern.""" + a_true, b_true, theta_true = 80.0, 60.0, 30.0 + center_true = (128.0, 128.0) + ds = _make_synthetic_dataset(a=a_true, b=b_true, theta_deg=theta_true, center=center_true) + # fit_radii brackets the ring (mean_r~70) well outside the central beam + result = fit_elliptical_distortion( + ds, + center=center_true, + fit_radii=(45.0, 100.0), + ) + a_fit, b_fit, theta_fit = result["ellipse_params"] + # Check semiaxes within 10% relative error + assert abs(a_fit - a_true) / a_true < 0.10, f"a: got {a_fit:.2f}, expected {a_true}" + assert abs(b_fit - b_true) / b_true < 0.10, f"b: got {b_fit:.2f}, expected {b_true}" + # Angle within 5 degrees + angle_err = abs(theta_fit - theta_true) + angle_err = min(angle_err, 180.0 - angle_err) # handle wrapping + assert angle_err < 5.0, f"theta: got {theta_fit:.1f}, expected {theta_true}" + + def test_recover_circular(self): + """For a circular pattern (a==b), fitted a and b should be similar.""" + R = 70.0 + ds = _make_synthetic_dataset(a=R, b=R, theta_deg=0.0, noise=False) + result = fit_elliptical_distortion( + ds, + center=(128.0, 128.0), + fit_radii=(45.0, 100.0), + ) + a_fit, b_fit, _ = result["ellipse_params"] + ratio = a_fit / b_fit + assert 0.95 < ratio < 1.05, f"Expected a/b ~ 1 for circular, got {ratio:.3f}" + + def test_refined_center(self): + """Fit should refine center when it's slightly off.""" + center_true = (130.0, 126.0) + ds = _make_synthetic_dataset(center=center_true, noise=False) + # Give a slightly wrong center + result = fit_elliptical_distortion( + ds, + center=(128.0, 128.0), + fit_radii=(45.0, 100.0), + ) + row_fit, col_fit = result["center"] + assert abs(row_fit - center_true[0]) < 3.0, ( + f"row: got {row_fit:.1f}, expected {center_true[0]}" + ) + assert abs(col_fit - center_true[1]) < 3.0, ( + f"col: got {col_fit:.1f}, expected {center_true[1]}" + ) + + def test_empty_annulus_raises(self): + """Should raise if no pixels fall in the annulus.""" + ds = _make_synthetic_dataset() + with pytest.raises(ValueError, match="No pixels"): + fit_elliptical_distortion( + ds, + center=(128.0, 128.0), + fit_radii=(200.0, 210.0), # outside image + ) + + @pytest.mark.parametrize("write", [True, False]) + def test_writes_ellipticity_metadata(self, write): + """metadata['ellipticity'] is stamped iff write_metadata is True.""" + ds = _make_synthetic_dataset(noise=False) + assert ds.metadata["ellipticity"] is None + result = fit_elliptical_distortion( + ds, + center=(128.0, 128.0), + fit_radii=(45.0, 100.0), + max_iter=10, + write_metadata=write, + ) + expected = result["ellipse_params"] if write else None + assert ds.metadata["ellipticity"] == expected + + def test_accepts_tensor_backed_input(self): + """Tensor-backed datasets should fit identically to numpy-backed ones.""" + ds_np = _make_synthetic_dataset(noise=False) + ds_t = Dataset4dstem.from_tensor( + torch.from_numpy(ds_np.array.copy()), name="synthetic_tensor" + ) + kwargs = dict(center=(128.0, 128.0), fit_radii=(45.0, 100.0)) + result_np = fit_elliptical_distortion(ds_np, **kwargs) + result_t = fit_elliptical_distortion(ds_t, **kwargs) + np.testing.assert_allclose( + result_t["ellipse_params"], result_np["ellipse_params"], rtol=1e-4 + ) + + +def test_ellipse_correction_pipeline(): + """fit_elliptical_distortion -> polar_transform: corrected ring is uniform across phi.""" + ds = _make_synthetic_dataset(a=80.0, b=60.0, theta_deg=30.0, noise=False) + fit = fit_elliptical_distortion(ds, center=(128.0, 128.0), fit_radii=(45.0, 100.0)) + polar = polar_transform(ds, ellipse_params=fit["ellipse_params"]) + # In the corrected polar the ring sits at a constant radius, so intensity + # at the peak radius should be ~uniform across phi. + arr = polar.numpy()[0, 0] # (n_phi, n_r), single 1x1 scan position + peak_r = int(arr.mean(axis=0).argmax()) + ring_at_phi = arr[:, peak_r] + cv = float(ring_at_phi.std() / ring_at_phi.mean()) + assert cv < 0.1, f"Ring varies across phi (cv={cv:.3f}); correction not applied." From 87b96d5aff64c4f42b8d0bab3747939e5920203c Mon Sep 17 00:00:00 2001 From: Ehrdt Ehrhardt Date: Wed, 10 Jun 2026 18:09:04 -0700 Subject: [PATCH 02/45] initial q/px calibration commit --- src/quantem/diffraction/calibration.py | 744 +++++++++++++++++++++++++ 1 file changed, 744 insertions(+) create mode 100644 src/quantem/diffraction/calibration.py diff --git a/src/quantem/diffraction/calibration.py b/src/quantem/diffraction/calibration.py new file mode 100644 index 000000000..10e9d6c21 --- /dev/null +++ b/src/quantem/diffraction/calibration.py @@ -0,0 +1,744 @@ +from __future__ import annotations + +from typing import Any + +import matplotlib.pyplot as plt +import numpy as np +import torch +from numpy.typing import NDArray +from scipy import sparse +from scipy.sparse.linalg import spsolve + +from quantem.core.datastructures.dataset2d import Dataset2d +from quantem.core.datastructures.dataset4dstem import Dataset4dstem +from quantem.core.datastructures.polar4dstem import Polar4dstem +from quantem.diffraction.polar import PairDistributionFunction +from quantem.diffraction.polar_transform import find_origin_angular_grid, polar_transform + + +def _arpls_baseline( + y: NDArray, lam: float = 0.1, ratio: float = 1e-2, niter: int = 100 +) -> NDArray: + """Asymmetrically reweighted penalized least squares baseline. + + Smoothness-regularised lower-envelope estimator that handles both + polycrystalline (many sharp peaks on a flat baseline) and amorphous + (one broad diffuse halo) profile topologies. Iteratively reweights + points that sit above the current estimate so peaks get pushed away + instead of absorbed. + + Reference: Baek, Park, Ahn & Choo, Analyst 140 (2015) 250-257. + + Parameters + ---------- + y : NDArray + 1D signal to fit a baseline under. + lam : float + Smoothness penalty. Larger -> stiffer baseline. + ratio : float + Convergence tolerance on the relative change in weights. + niter : int + Maximum iterations. + + Returns + ------- + z : NDArray + Smooth baseline, same length as ``y``. + """ + y = np.asarray(y, dtype=float) + L = len(y) + D = sparse.diags([1.0, -2.0, 1.0], [0, -1, -2], shape=(L, L - 2)) + H = lam * (D @ D.T) + w = np.ones(L) + for _ in range(niter): + W = sparse.diags(w) + z = spsolve((W + H).tocsc(), w * y) + d = y - z + dn = d[d < 0] + if dn.size == 0: + break + m, s = dn.mean(), dn.std() + # Asymmetric reweighting; clip the logistic exponent so peaks don't overflow + expo = np.clip(2.0 * (d - (2.0 * s - m)) / (s + 1e-12), -50.0, 50.0) + wt = 1.0 / (1.0 + np.exp(expo)) + if np.linalg.norm(w - wt) / (np.linalg.norm(w) + 1e-12) < ratio: + break + w = wt + return z + + +def _find_peaks_torch( + y: torch.Tensor, + distance: int | None = None, + prominence: float | None = None, + height: float | None = None, +) -> torch.Tensor: + """Torch-native 1D peak detection. + + Strict interior local maxima (``y[i] > y[i-1] AND y[i] > y[i+1]``), + optionally filtered by absolute ``height``, minimum sample + ``distance`` between peaks (greedy: smaller peaks dropped first to + enforce the separation), and topographic ``prominence`` (vertical + distance from the peak to the higher of the two surrounding valley + minima, where each valley min is the running min from the peak to + the nearest higher peak or array edge). + + Matches the semantics of ``scipy.signal.find_peaks`` for the + filter set used by :meth:`ReciprocalCalibration.find_peaks`. + Plateau peaks (equal-valued runs surrounded by lower values) are + NOT detected — strict ``>`` only. + + Parameters + ---------- + y : 1D torch.Tensor + Signal to search. + distance : int or None + Minimum samples between peaks. + prominence : float or None + Minimum topographic prominence. + height : float or None + Minimum absolute peak value. + + Returns + ------- + peaks : 1D torch.Tensor (long), peak indices sorted ascending. + """ + n = int(y.numel()) + if n < 3: + return torch.empty(0, dtype=torch.long, device=y.device) + + # Pull to Python floats. The data is small (typical radial profile + # length is ~100), so a tight Python loop over a few candidates is + # cheaper than any vectorized prominence scheme. The scipy version + # we're replacing is also CPU-bound for the same reason. + vals = y.detach().cpu().tolist() + + # Strict interior local maxima + candidates = [ + i for i in range(1, n - 1) if vals[i] > vals[i - 1] and vals[i] > vals[i + 1] + ] + + # Absolute height + if height is not None: + candidates = [i for i in candidates if vals[i] >= height] + + # Minimum separation — greedy by descending height, drop smaller + # candidates within `distance` of any already-kept candidate + if distance is not None and candidates: + by_height = sorted(candidates, key=lambda i: vals[i], reverse=True) + kept: list[int] = [] + for c in by_height: + if all(abs(c - k) >= distance for k in kept): + kept.append(c) + candidates = sorted(kept) + + # Prominence — walk left/right from each candidate tracking running min + # until a strictly higher value (or edge) is hit + if prominence is not None and candidates: + kept_prom: list[int] = [] + for c in candidates: + h = vals[c] + left_min = h + j = c - 1 + while j >= 0: + v = vals[j] + if v > h: + break + if v < left_min: + left_min = v + j -= 1 + right_min = h + j = c + 1 + while j < n: + v = vals[j] + if v > h: + break + if v < right_min: + right_min = v + j += 1 + if h - max(left_min, right_min) >= prominence: + kept_prom.append(c) + candidates = kept_prom + + return torch.tensor(candidates, dtype=torch.long, device=y.device) + +# --------------------------------------------------------------------------- +# Reference material data +# {material: (lattice_param_Å, {hkl_label: h²+k²+l²})} +# Au -- FCC, allowed when (h,k,l) all same parity. +# Si -- diamond cubic, allowed when (h,k,l) all odd, OR all even with +# h+k+l = 4n. The 200, 222, 420 FCC reflections are forbidden. +# --------------------------------------------------------------------------- +MATERIALS: dict[str, tuple[float, dict[str, int]]] = { + "Au": ( + 4.0782, + { + "111": 3, "200": 4, "220": 8, "311": 11, + "222": 12, "400": 16, "331": 19, "420": 20, + }, + ), + "Si": ( + 5.4307, + { + "111": 3, "220": 8, "311": 11, "400": 16, + "331": 19, "422": 24, "511": 27, "440": 32, + "531": 35, "620": 40, + }, + ), +} + + +def _q_values_for(material: str) -> dict[str, float]: + """Return q = sqrt(h²+k²+l²) / a for each allowed reflection of `material`.""" + if material not in MATERIALS: + raise ValueError( + f"Unknown material '{material}'. Available: {sorted(MATERIALS)}" + ) + a, reflections = MATERIALS[material] + return {hkl: np.sqrt(n) / a for hkl, n in reflections.items()} + + +class ReciprocalCalibration: + """Calibrate reciprocal-space pixel size from polycrystalline diffraction rings. + + This class determines the pixel-to-inverse-Angstrom conversion factor by + matching detected ring positions in a radial profile to known d-spacings + of a reference material (currently Au FCC). + + Construction is enforced through :meth:`from_data`. + """ + + _token = object() + + def __init__( + self, + pdf: PairDistributionFunction, + radial_profile: NDArray, + radial_pixel_positions: NDArray, + mean_dp: NDArray, + input_data: Any | None = None, + _token: object | None = None, + ): + if _token is not self._token: + raise RuntimeError( + "Direct instantiation of ReciprocalCalibration is not allowed. " + "Use ReciprocalCalibration.from_data() to instantiate this class." + ) + + self._pdf = pdf # used for fit_bg + self.radial_profile = radial_profile # 1-D, length = n_radial_bins + self.radial_pixel_positions = radial_pixel_positions # 1-D pixel indices + self.mean_dp = mean_dp # 2-D mean diffraction pattern + self.input_data = input_data + + # Set after fit_bg() / find_peaks() + self.background: NDArray | None = None + self.peak_indices: NDArray | None = None + self.peak_pixel_positions: NDArray | None = None + + # Set after calibrate() + self.pixel_size: float | None = None # 1/Å per pixel + self.material: str | None = None + self.matched_hkl: list[str] | None = None + self.matched_q: NDArray | None = None + self.matched_pixel_positions: NDArray | None = None + + @classmethod + def from_data( + cls, + data: Dataset4dstem | Dataset2d | Polar4dstem, + *, + mask_realspace: NDArray | None = None, + voltage_kV: float = 200, + find_origin: bool = True, + origin_row: float | None = None, + origin_col: float | None = None, + radial_min: float = 0.0, + radial_max: float | None = None, + radial_step: float = 1.0, + num_annular_bins: int = 180, + ellipse_params: tuple[float, float, float] | None = None, + ) -> "ReciprocalCalibration": + """Create a ReciprocalCalibration from diffraction data. + + Parameters + ---------- + data + A Dataset4dstem, Dataset2d, or Polar4dstem. + mask_realspace + Boolean array (scan_y, scan_x) selecting which probe positions + to include when averaging diffraction patterns. Only used with + Dataset4dstem input. + voltage_kV + Accelerating voltage in kV (stored for metadata / future use). + find_origin, origin_row, origin_col + Origin-finding parameters forwarded to the polar transform. + radial_min, radial_max, radial_step, num_annular_bins + Polar-transform parameters. + ellipse_params + Elliptical-distortion correction ``(a, b, theta_deg)`` applied + during origin finding and the polar transform. Must match the + value passed to the PDF's polar transform so the calibration is + measured on the same (ellipse-corrected) geometry. + """ + # Polar4dstem input: use directly + if isinstance(data, Polar4dstem): + polar = data + mean_dp = None + else: + # Dataset2d: wrap as 1×1 4DSTEM + if isinstance(data, Dataset2d): + arr2d = data.array + arr4 = arr2d[None, None, ...] + data = Dataset4dstem.from_array( + array=arr4, + name=f"{data.name}_as4dstem" + if getattr(data, "name", None) + else "cal_4dstem_from_2d", + origin=np.concatenate( + [np.zeros(2, dtype=float), np.asarray(data.origin, dtype=float)] + ), + sampling=np.concatenate( + [np.ones(2, dtype=float), np.asarray(data.sampling, dtype=float)] + ), + units=["pixels", "pixels"] + list(data.units), + signal_units=data.signal_units, + ) + mask_realspace = None # irrelevant for 1×1 scan + # Dataset4dstem: compute mean DP then polar transform + if not isinstance(data, Dataset4dstem): + raise TypeError( + f"Unsupported data type {type(data).__name__}. " + "Expected Dataset4dstem, Dataset2d, or Polar4dstem." + ) + arr4d_t = ( + torch.from_numpy(np.ascontiguousarray(data.array)) + if data.array is not None + else data.tensor + ) + if mask_realspace is not None: + n_pos = int(mask_realspace.sum()) + print(f"Averaging {n_pos} masked diffraction patterns ...") + mask_t = torch.from_numpy(np.asarray(mask_realspace, dtype=bool)).to( + arr4d_t.device + ) + mean_dp = arr4d_t[mask_t].mean(dim=0, dtype=torch.float64).cpu().numpy() + else: + n_pos = int(data.shape[0] * data.shape[1]) + print(f"Averaging all {n_pos} diffraction patterns ...") + mean_dp = arr4d_t.mean(dim=(0, 1), dtype=torch.float64).cpu().numpy() + mean_ds = Dataset4dstem.from_array( + array=mean_dp[None, None, ...], + name="calibration_mean_dp", + origin=np.array([0.0, 0.0, data.origin[2], data.origin[3]]), + sampling=np.array([1.0, 1.0, data.sampling[2], data.sampling[3]]), + units=["pixels", "pixels"] + list(data.units[2:]), + signal_units=data.signal_units, + ) + + if find_origin: + origin_array = find_origin_angular_grid( + mean_ds, + ellipse_params=ellipse_params, + num_annular_bins=num_annular_bins, + radial_min=radial_min, + radial_max=radial_max, + radial_step=radial_step, + ) + else: + ny, nx = mean_dp.shape + if origin_row is None: + origin_row = (ny - 1) / 2.0 + if origin_col is None: + origin_col = (nx - 1) / 2.0 + origin_array = np.zeros((1, 1, 2), dtype=float) + origin_array[0, 0, 0] = origin_row + origin_array[0, 0, 1] = origin_col + + polar = polar_transform( + mean_ds, + origin_array=origin_array, + ellipse_params=ellipse_params, + num_annular_bins=num_annular_bins, + radial_min=radial_min, + radial_max=radial_max, + radial_step=radial_step, + ) + + # --- Build a PairDistributionFunction for background fitting -------- + # PairDistributionFunction.from_data does not accept a Polar4dstem + # directly, so construct via the class-level token. + pdf_input = data if isinstance(data, Dataset4dstem) else None + pdf = PairDistributionFunction( + polar=polar, + input_data=pdf_input, + _token=PairDistributionFunction._token, + ) + pdf.calculate_radial_mean() + + # --- Compute radial profile (azimuthal average) --------------------- + radial_profile = pdf.Ik.detach().cpu().numpy() + n_r = radial_profile.shape[0] + radial_pixel_positions = np.arange(n_r, dtype=float) + + if mean_dp is None: + mean_dp = np.zeros((1, 1), dtype=float) + + return cls( + pdf=pdf, + radial_profile=radial_profile, + radial_pixel_positions=radial_pixel_positions, + mean_dp=mean_dp, + input_data=data, + _token=cls._token, + ) + + def fit_bg( + self, + radial_min: int = 0, + lam: float = 0.001, + ) -> NDArray: + """Estimate the smooth background under the diffraction rings. + + Runs arPLS (asymmetrically reweighted penalized least squares; + see :func:`_arpls_baseline`) in log-space on + ``radial_profile[radial_min:]``. Below ``radial_min`` the + background is set equal to the profile, so the residual is ~0 + there and the central-beam region can't dominate peak finding. + Tunable via one smoothness parameter. + + Parameters + ---------- + radial_min : int + Below this pixel index, ``bg = radial_profile`` (no fit). + lam : float + arPLS smoothness penalty. Larger -> stiffer baseline. + + Returns + ------- + bg : NDArray + Background curve, same length as :attr:`radial_profile`. + """ + profile = np.asarray(self.radial_profile, dtype=float) + bg = profile.copy() + # arPLS in log space so the steep central-beam decay is tractable + log_seg = np.log(np.clip(profile[radial_min:], 0.0, None) + 1.0) + bg[radial_min:] = np.exp(_arpls_baseline(log_seg, lam=lam)) - 1.0 + bg = np.clip(bg, 0.0, None) + self.background = bg + return self.background + + def find_peaks( + self, + radial_min: int = 0, + n_peaks: int | None = None, + distance: int | None = None, + prominence: float | None = None, + height: float | None = None, + ) -> NDArray: + """Detect peaks in the background-subtracted radial profile. + + Runs :func:`scipy.signal.find_peaks` on + ``radial_profile - background``. If :attr:`background` has not been + fit yet, calls :meth:`fit_bg` with defaults first. + + Parameters + ---------- + radial_min + Ignore the profile below this pixel index (skip the central beam). + n_peaks + If provided, keep only the first ``n_peaks`` detected peaks + (the innermost rings). Useful when the detector finds more + candidates than you want to use for the calibration fit. + distance, prominence, height + Passed through to ``scipy.signal.find_peaks``. + + Returns + ------- + peak_indices : NDArray + Indices into :attr:`radial_profile` where peaks were found. + """ + if self.background is None: + self.fit_bg(radial_min=radial_min) + residual = self.radial_profile - self.background + + # zero out central beam region + residual[:radial_min] = 0.0 + self._residual = residual + + residual_t = torch.from_numpy(np.ascontiguousarray(residual)) + indices_t = _find_peaks_torch( + residual_t, + distance=distance, + prominence=prominence, + height=height, + ) + indices = indices_t.cpu().numpy() + indices = indices[indices >= radial_min] + if n_peaks is not None: + indices = indices[:n_peaks] + + self.peak_indices = indices + self.peak_pixel_positions = self.radial_pixel_positions[indices] + return indices + + # ------------------------------------------------------------------ + # Calibration + # ------------------------------------------------------------------ + def calibrate( + self, + material: str = "Au", + peak_indices: NDArray | list[int] | None = None, + ) -> float: + """Match detected peaks to known ring positions and fit pixel size. + + Performs a zero-intercept least-squares fit: ``q = pixel_size * r_pixels`` + to determine the reciprocal-space pixel size in 1/Å per pixel. + + Parameters + ---------- + material + Reference material; must be a key in :data:`MATERIALS` + (currently ``'Au'`` or ``'Si'``). + peak_indices + Indices of peaks (into :attr:`radial_profile`) to use for the + fit. If ``None``, uses all peaks found by :meth:`find_peaks`. + + Returns + ------- + pixel_size : float + Calibrated pixel size in 1/Å per pixel. + """ + if peak_indices is not None: + peak_pix = self.radial_pixel_positions[np.asarray(peak_indices)] + elif self.peak_pixel_positions is not None: + peak_pix = self.peak_pixel_positions + else: + raise RuntimeError( + "No peaks available. Call find_peaks() first or provide peak_indices." + ) + + q_ref = _q_values_for(material) + self.material = material + hkl_labels = list(q_ref.keys()) + q_vals = np.array(list(q_ref.values())) + sorted_order = np.argsort(q_vals) + q_sorted = q_vals[sorted_order] + hkl_sorted = [hkl_labels[i] for i in sorted_order] + peak_pix = np.sort(peak_pix.astype(float)) + n_peaks = len(peak_pix) + n_ref = len(q_sorted) + + # Try all ordered subsets of n_peaks reflections from the n_ref + # available and find the assignment with the lowest relative fit + # residual. Since both peaks and q-values are sorted, we only + # need to consider combinations (order-preserving). + from itertools import combinations + + best_rss = np.inf + best_combo = None + for combo in combinations(range(n_ref), n_peaks): + q_sel = q_sorted[list(combo)] + # Zero-intercept LS: pixel_size = (r · q) / (r · r) + ps = float(np.dot(peak_pix, q_sel) / np.dot(peak_pix, peak_pix)) + if ps <= 0: + continue + # Relative residual sum of squares + predicted_q = ps * peak_pix + rss = float(np.sum(((predicted_q - q_sel) / q_sel) ** 2)) + if rss < best_rss: + best_rss = rss + best_combo = combo + if best_combo is None: + raise RuntimeError("Could not find a valid peak-to-reflection matching.") + + matched_q = q_sorted[list(best_combo)] + matched_hkl = [hkl_sorted[i] for i in best_combo] + pixel_size = float(np.dot(peak_pix, matched_q) / np.dot(peak_pix, peak_pix)) + self.pixel_size = pixel_size + self.matched_hkl = matched_hkl + self.matched_q = matched_q + self.matched_pixel_positions = peak_pix + # Print matching for user verification + print(f"Calibrated pixel size: {pixel_size:.6f} 1/Å/px") + print("Peak matching:") + for r_px, hkl, q in zip(peak_pix, matched_hkl, matched_q): + q_pred = pixel_size * r_px + print(f" r={r_px:.1f} px → {hkl} (q={q:.4f}, predicted={q_pred:.4f})") + return pixel_size + + def apply(self, dataset: Dataset4dstem) -> None: + """Update a Dataset4dstem's diffraction-axis sampling and units.""" + if self.pixel_size is None: + raise RuntimeError("No calibration available. Call calibrate() first.") + new_sampling = list(dataset.sampling) + new_sampling[2] = self.pixel_size + new_sampling[3] = self.pixel_size + dataset.sampling = new_sampling + new_units = list(dataset.units) + new_units[2] = "1/Angstrom" + new_units[3] = "1/Angstrom" + dataset.units = new_units + + # ------------------------------------------------------------------ + # Plotting helpers + # ------------------------------------------------------------------ + def plot_radial_profile(self) -> plt.Figure: + """Plot the radial profile, background fit, and residual with peaks.""" + has_bg = self.background is not None + n_axes = 2 if has_bg else 1 + + fig, axes = plt.subplots(1, n_axes, figsize=(5 * n_axes, 4)) + if n_axes == 1: + axes = [axes] + + # --- Left panel: raw profile + background --- + ax = axes[0] + ax.plot(self.radial_pixel_positions, self.radial_profile, label="I(r)") + if has_bg: + ax.plot(self.radial_pixel_positions, self.background, "--", label="Background") + if self.peak_pixel_positions is not None: + ax.plot( + self.peak_pixel_positions, + self.radial_profile[self.peak_indices], + "x", + color="red", + markersize=8, + label="Peaks", + ) + ax.set_yscale("log") + ax.set_xlabel("Radial position (pixels)") + ax.set_ylabel("Mean intensity") + ax.set_title("Radial profile + background") + ax.legend() + + # --- Right panel: residual with peaks --- + if has_bg: + ax2 = axes[1] + residual = getattr(self, "_residual", self.radial_profile - self.background) + ax2.plot(self.radial_pixel_positions, residual, label="I(r) - B(r)") + if self.peak_pixel_positions is not None: + ax2.plot( + self.peak_pixel_positions, + residual[self.peak_indices], + "x", + color="red", + markersize=8, + label="Peaks", + ) + ax2.axhline(0, color="gray", linewidth=0.5) + ax2.set_xlabel("Radial position (pixels)") + ax2.set_ylabel("Residual intensity") + ax2.set_title("Background-subtracted profile") + ax2.legend() + + fig.tight_layout() + return fig + + def plot_trial_pixel_sizes( + self, + trial_sizes: list[float] | None = None, + material: str | None = None, + ) -> plt.Figure: + """Overlay expected ring positions on the residual for several + trial pixel sizes so the user can visually identify the correct + matching. + + Parameters + ---------- + trial_sizes + List of pixel sizes (1/Å per pixel) to try. Defaults to + three values spanning a plausible range. + material + Reference material whose rings are overlaid. Defaults to + ``self.material`` (set by :meth:`calibrate`) or ``'Au'``. + """ + if trial_sizes is None: + trial_sizes = [0.018, 0.026, 0.040] + + if material is None: + material = self.material or "Au" + q_ref = _q_values_for(material) + residual = getattr(self, "_residual", self.radial_profile) + r_max = float(self.radial_pixel_positions[-1]) + + n = len(trial_sizes) + fig, axes = plt.subplots(1, n, figsize=(5 * n, 4)) + if n == 1: + axes = [axes] + + for ax, ps in zip(axes, trial_sizes): + ax.plot(self.radial_pixel_positions, residual, "b-", linewidth=1) + if self.peak_pixel_positions is not None: + ax.plot( + self.peak_pixel_positions, + residual[self.peak_indices.astype(int)], + "rx", + markersize=8, + zorder=5, + ) + y_top = max(residual.max() * 1.05, 1.0) + for hkl, qv in q_ref.items(): + r_exp = qv / ps + if r_exp < r_max: + ax.axvline(r_exp, color="green", alpha=0.5, linestyle="--", linewidth=1) + ax.text( + r_exp + 0.5, + y_top * 0.92, + hkl, + rotation=90, + va="top", + fontsize=7, + color="green", + ) + ax.set_title(f"pixel_size = {ps} 1/\u00c5/px") + ax.set_xlabel("Radial position (pixels)") + ax.set_ylabel("Residual intensity") + ax.set_xlim(0, r_max) + ax.set_ylim(None, y_top) + + fig.tight_layout() + return fig + + def plot_calibration_fit(self) -> plt.Figure: + """Plot the linear calibration fit and residuals. + + Left panel shows matched peak positions vs. known q-values with + the zero-intercept linear fit. Right panel shows the residuals + (measured q - predicted q) for each matched reflection. + """ + if self.pixel_size is None or self.matched_q is None: + raise RuntimeError("No calibration available. Call calibrate() first.") + + r = self.matched_pixel_positions + q_pred = self.pixel_size * r + residuals = self.matched_q - q_pred + + fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4)) + + # --- Left: linear fit --- + ax1.scatter(r, self.matched_q, zorder=3, label="Matched peaks") + r_fit = np.linspace(0, r.max() * 1.1, 100) + ax1.plot( + r_fit, self.pixel_size * r_fit, "--", label=f"Fit: {self.pixel_size:.6f} 1/\u00c5/px" + ) + for i, hkl in enumerate(self.matched_hkl): + ax1.annotate(hkl, (r[i], self.matched_q[i]), textcoords="offset points", xytext=(5, 5)) + ax1.set_xlabel("Radial position (pixels)") + ax1.set_ylabel("q (1/\u00c5)") + ax1.set_title("Calibration fit") + ax1.legend() + + # --- Right: residuals --- + ax2.stem(r, residuals, markerfmt="o", basefmt="k-") + for i, hkl in enumerate(self.matched_hkl): + ax2.annotate( + hkl, (r[i], residuals[i]), textcoords="offset points", xytext=(5, 5), fontsize=8 + ) + ax2.axhline(0, color="gray", linewidth=0.5) + ax2.set_xlabel("Radial position (pixels)") + ax2.set_ylabel("\u0394q (1/\u00c5)") + ax2.set_title("Residuals (measured - predicted)") + + fig.tight_layout() + return fig From f7892cb73824b399967c30a5445a5d4e0b92a00b Mon Sep 17 00:00:00 2001 From: Ehrdt Ehrhardt Date: Wed, 10 Jun 2026 22:07:33 -0700 Subject: [PATCH 03/45] add k^pow weighting to find_origin_angular_grid --- src/quantem/diffraction/polar_transform.py | 42 +++++++++++++++++----- 1 file changed, 34 insertions(+), 8 deletions(-) diff --git a/src/quantem/diffraction/polar_transform.py b/src/quantem/diffraction/polar_transform.py index c3f9239ea..03adcc659 100644 --- a/src/quantem/diffraction/polar_transform.py +++ b/src/quantem/diffraction/polar_transform.py @@ -27,6 +27,7 @@ def find_origin_angular_grid( device: str = "cpu", batch_size: int = 16, local_margin: int = 40, + kpow: float = 0.0, ) -> NDArray: """ Automatic diffraction center finding by minimizing angular intensity @@ -66,6 +67,9 @@ def find_origin_angular_grid( ``(2*local_margin+1)`` square window centered on the global origin. Set this large enough to cover the worst-case descan drift across the scan. + kpow : float + Up-weight each ring's contribution to the score by ``k**kpow`` + (k = ring radius). Returns ------- @@ -138,6 +142,12 @@ def find_origin_angular_grid( n_r = radial_bins.numel() min_r_idx = 0 max_r_idx = int(np.ceil(0.9 * n_r)) + # k-weighting (k = ring radius). None when kpow == 0 to skip the multiply. + ring_weights = ( + None + if kpow == 0.0 + else (radial_bins[min_r_idx:max_r_idx].to(device) ** kpow).to(torch.float32) + ) # Normalize offsets to [-1, 1] because grid_sample expects normalized coordinates col_norm_scale = 2.0 / (n_col - 1) row_norm_scale = 2.0 / (n_row - 1) @@ -161,7 +171,7 @@ def find_origin_angular_grid( device, step=2, ) - scores = _angular_std_scores(mean_dp_batch, grids, min_r_idx, max_r_idx) + scores = _angular_std_scores(mean_dp_batch, grids, min_r_idx, max_r_idx, ring_weights) valid = ( (rows >= safe_low) & (rows <= safe_high_row) & (cols >= safe_low) & (cols <= safe_high_col) ) @@ -181,7 +191,7 @@ def find_origin_angular_grid( device, step=1, ) - scores = _angular_std_scores(mean_dp_batch, grids, min_r_idx, max_r_idx) + scores = _angular_std_scores(mean_dp_batch, grids, min_r_idx, max_r_idx, ring_weights) valid = ( (rows >= safe_low) & (rows <= safe_high_row) & (cols >= safe_low) & (cols <= safe_high_col) ) @@ -246,7 +256,12 @@ def refine(dp_batch, current_row, current_col, drow, dcol): region = polars.view(dp_batch.shape[0], n_cands, *base_col_norm.shape)[ ..., min_r_idx:max_r_idx ] - scores = region.std(dim=2).sum(dim=2) / (region.mean(dim=2).sum(dim=2) + 1e-6) + std_r = region.std(dim=2) + mean_r = region.mean(dim=2) + if ring_weights is not None: + std_r = std_r * ring_weights + mean_r = mean_r * ring_weights + scores = std_r.sum(dim=2) / (mean_r.sum(dim=2) + 1e-6) valid = ( (cand_rows >= safe_low) & (cand_rows <= safe_high_row) @@ -275,9 +290,12 @@ def refine(dp_batch, current_row, current_col, drow, dcol): align_corners=True, ) region_coarse = polars_coarse[:, :, :, min_r_idx:max_r_idx] - scores_coarse = region_coarse.std(dim=2).sum(dim=2) / ( - region_coarse.mean(dim=2).sum(dim=2) + 1e-6 - ) + std_r_coarse = region_coarse.std(dim=2) + mean_r_coarse = region_coarse.mean(dim=2) + if ring_weights is not None: + std_r_coarse = std_r_coarse * ring_weights + mean_r_coarse = mean_r_coarse * ring_weights + scores_coarse = std_r_coarse.sum(dim=2) / (mean_r_coarse.sum(dim=2) + 1e-6) scores_coarse = scores_coarse.masked_fill(~coarse_valid[:, None], float("inf")) best_coarse = scores_coarse.argmin(dim=0) # best candidate per DP current_row, current_col = coarse_rows[best_coarse], coarse_cols[best_coarse] @@ -661,9 +679,12 @@ def _angular_std_scores( grids: torch.Tensor, min_r_idx: int, max_r_idx: int, + ring_weights: torch.Tensor | None = None, ) -> torch.Tensor: """Score candidate origins by angular std over a mid-radius band. - Lower scores indicate better centering.""" + Lower scores indicate better centering. Optional ``ring_weights`` + (shape ``(n_r_window,)``) applies a per-ring weighting before + summation (e.g. ``k**kpow`` for high-k emphasis).""" n = grids.shape[0] # Sample the diffraction pattern at each candidate's polar grid positions polars = F.grid_sample( @@ -679,7 +700,12 @@ def _angular_std_scores( # do not win on absolute std alone (relevant when search windows are # wide enough to include centers far from the direct beam). region = polars.squeeze(1)[:, :, min_r_idx:max_r_idx] - return region.std(dim=1).sum(dim=1) / (region.mean(dim=1).sum(dim=1) + 1e-6) + std_r = region.std(dim=1) + mean_r = region.mean(dim=1) + if ring_weights is not None: + std_r = std_r * ring_weights + mean_r = mean_r * ring_weights + return std_r.sum(dim=1) / (mean_r.sum(dim=1) + 1e-6) def _quadratic_subpixel_offset(patch: torch.Tensor) -> torch.Tensor: From 11225bbb722881f3694bd39c2db746c0d34be6bf Mon Sep 17 00:00:00 2001 From: Ehrdt Ehrhardt Date: Wed, 10 Jun 2026 21:54:51 -0700 Subject: [PATCH 04/45] add ShowPDF widget --- widget/js/showpdf/index.tsx | 1574 +++++++++++++++++++++++++ widget/scripts/build.mjs | 1 + widget/src/quantem/widget/__init__.py | 3 +- widget/src/quantem/widget/detector.py | 136 +++ widget/src/quantem/widget/showpdf.py | 1260 ++++++++++++++++++++ 5 files changed, 2973 insertions(+), 1 deletion(-) create mode 100644 widget/js/showpdf/index.tsx create mode 100644 widget/src/quantem/widget/detector.py create mode 100644 widget/src/quantem/widget/showpdf.py diff --git a/widget/js/showpdf/index.tsx b/widget/js/showpdf/index.tsx new file mode 100644 index 000000000..f4ad8d9e8 --- /dev/null +++ b/widget/js/showpdf/index.tsx @@ -0,0 +1,1574 @@ +import * as React from "react"; +import { createRender, useModelState, useModel } from "@anywidget/react"; +import Box from "@mui/material/Box"; +import Typography from "@mui/material/Typography"; +import Stack from "@mui/material/Stack"; +import Button from "@mui/material/Button"; +import Switch from "@mui/material/Switch"; +import Select from "@mui/material/Select"; +import MenuItem from "@mui/material/MenuItem"; +import Slider from "@mui/material/Slider"; +import CircularProgress from "@mui/material/CircularProgress"; +import { useTheme } from "../theme"; +import { COLORMAPS, renderToOffscreen, renderToOffscreenReuse } from "../colormaps"; + +const CMAP_OPTIONS = ["gray", "inferno", "viridis", "magma"] as const; +import { + findDataRange, + percentileClip, + applyLogScale, +} from "../stats"; +import { extractFloat32, formatNumber } from "../format"; +import { roundToNiceValue, drawScaleBarHiDPI } from "../figure"; + +// ============================================================================ +// Constants +// ============================================================================ +const DPR = Math.max(1, window.devicePixelRatio || 1); +const SPACING = { XS: 4, SM: 8, MD: 12, LG: 16 }; +const FONT = "-apple-system, BlinkMacSystemFont, 'Segoe UI', sans-serif"; +const MONO = "ui-monospace, SFMono-Regular, 'SF Mono', Menlo, monospace"; +const MIN_ZOOM = 0.5; +const MAX_ZOOM = 32; + +const TRACE_COLORS = { + ik: "#4fc3f7", + bg: "#ef5350", + fk: "#66bb6a", + gr: "#4fc3f7", + pdf: "#ba68c8", +}; + +const MARGIN_TOP = 12; +const MARGIN_RIGHT = 16; +const MARGIN_BOTTOM = 56; +const MARGIN_LEFT_MIN = 72; +const AXIS_TICK_PX = 4; +const TICK_LABEL_W = 50; + +// ============================================================================ +// Helpers +// ============================================================================ +function snap(v: number): number { + return Math.round(v) + 0.5; +} + +function computeTicks(min: number, max: number, maxTicks = 8): number[] { + const range = max - min; + if (range <= 0 || !isFinite(range)) return [min, max]; + const step = roundToNiceValue(range / maxTicks); + if (step <= 0) return [min, max]; + const start = Math.ceil(min / step) * step; + const ticks: number[] = []; + for (let v = start; v <= max + step * 0.001; v += step) { + if (v >= min - step * 0.001) ticks.push(v); + } + return ticks.length > 0 ? ticks : [min, max]; +} + +function fillRectMask( + mask: Uint8Array, w: number, h: number, + r0: number, c0: number, r1: number, c1: number, value: number, +) { + const minR = Math.max(0, Math.min(r0, r1)); + const maxR = Math.min(h - 1, Math.max(r0, r1)); + const minC = Math.max(0, Math.min(c0, c1)); + const maxC = Math.min(w - 1, Math.max(c0, c1)); + for (let r = minR; r <= maxR; r++) + for (let c = minC; c <= maxC; c++) + mask[r * w + c] = value; +} + +function fillCircleMask( + mask: Uint8Array, w: number, h: number, + cr: number, cc: number, radius: number, value: number, +) { + const r2 = radius * radius; + const rMin = Math.max(0, Math.floor(cr - radius)); + const rMax = Math.min(h - 1, Math.ceil(cr + radius)); + const cMin = Math.max(0, Math.floor(cc - radius)); + const cMax = Math.min(w - 1, Math.ceil(cc + radius)); + for (let r = rMin; r <= rMax; r++) + for (let c = cMin; c <= cMax; c++) + if ((r - cr) ** 2 + (c - cc) ** 2 <= r2) + mask[r * w + c] = value; +} + +// ============================================================================ +// Main component +// ============================================================================ +function ShowPDFWidget() { + const model = useModel(); + const { colors } = useTheme(); + const isDark = colors.bg === "#1e1e1e"; + + // --- Model state --- + const [title] = useModelState("title"); + const [scanRows] = useModelState("scan_rows"); + const [scanCols] = useModelState("scan_cols"); + const [navImageBytes] = useModelState("nav_image_bytes"); + const [navPixelSize] = useModelState("nav_pixel_size"); + const [navUnit] = useModelState("nav_unit"); + const [maskPixelCount] = useModelState("mask_pixel_count"); + const [maskFraction] = useModelState("mask_fraction"); + const [maskVersion, setMaskVersion_model] = useModelState("mask_version"); + const [maskTool, setMaskTool] = useModelState("mask_tool"); + const [maskBrushSize, setMaskBrushSize] = useModelState("mask_brush_size"); + const [ikXBytes] = useModelState("ik_x_bytes"); + const [ikYBytes] = useModelState("ik_y_bytes"); + const [ikBgYBytes] = useModelState("ik_bg_y_bytes"); + const [fkXBytes] = useModelState("fk_x_bytes"); + const [fkYBytes] = useModelState("fk_y_bytes"); + const [grXBytes] = useModelState("gr_x_bytes"); + const [grYBytes] = useModelState("gr_y_bytes"); + const [pdfXBytes] = useModelState("pdf_x_bytes"); + const [pdfYBytes] = useModelState("pdf_y_bytes"); + const [kMinFit, setKMinFit] = useModelState("k_min_fit"); + const [kMaxFit, setKMaxFit] = useModelState("k_max_fit"); + const [kMinWindow, setKMinWindow] = useModelState("k_min_window"); + const [kMaxWindow, setKMaxWindow] = useModelState("k_max_window"); + const [rMax, setRMax] = useModelState("r_max"); + const [kLowpass, setKLowpass] = useModelState("k_lowpass"); + const [kHighpass, setKHighpass] = useModelState("k_highpass"); + const [dampOrigin, setDampOrigin] = useModelState("damp_origin_oscillations"); + const [rCut, setRCut] = useModelState("r_cut"); + const [densityMode, setDensityMode] = useModelState("density_mode"); + const [densityValue, setDensityValue] = useModelState("density_value"); + const [kMinAvail] = useModelState("k_min_available"); + const [kMaxAvail] = useModelState("k_max_available"); + const [plotMode, setPlotMode] = useModelState("plot_mode"); + const [showBackground, setShowBackground] = useModelState("show_background"); + const [cmap, setCmap] = useModelState("cmap"); + const [logScale] = useModelState("log_scale"); + const [autoContrast] = useModelState("auto_contrast"); + const [showStats] = useModelState("show_stats"); + const [showControls] = useModelState("show_controls"); + const [computing] = useModelState("computing"); + const [statusMessage] = useModelState("status_message"); + const [analysisMode, setAnalysisMode] = useModelState("analysis_mode"); + // ShowPDF no longer surfaces registry-driven tool-visibility traits; all + // UI groups are always visible/enabled. Constants kept as `false` here so + // the downstream JSX conditionals (`disabled={lockMask}`, etc.) stay valid + // without rewriting every call site. If per-feature visibility traits are + // ever wanted, expose them in showpdf.py with the show2d trait style. + const lockMask = false; + const hideMask = false; + const lockDisplay = false; + const lockParameters = false; + const hideParameters = false; + const hideStats = false; + const [probeRow, setProbeRow] = useModelState("probe_row"); + const [probeCol, setProbeCol] = useModelState("probe_col"); + const [probeSize, setProbeSize] = useModelState("probe_size"); + const [lineRow0] = useModelState("line_row0"); + const [lineCol0] = useModelState("line_col0"); + const [lineRow1] = useModelState("line_row1"); + const [lineCol1] = useModelState("line_col1"); + const [lineWidth, setLineWidth] = useModelState("line_width"); + const [lineActive] = useModelState("line_active"); + const [lineMode, setLineMode] = useModelState("line_mode"); + const [linePerp, setLinePerp] = useModelState("line_perpendicular"); + const [linescanBytes] = useModelState("linescan_bytes"); + const [nLinescan] = useModelState("n_linescan"); + const [linescanNPoints] = useModelState("linescan_n_points"); + const [linescanAxisBytes] = useModelState("linescan_axis_bytes"); + + // --- Local state --- + const PLOT_H = 360; + const NAV_SIZE = PLOT_H; + const PLOT_W = 520; + const navH = Math.round(NAV_SIZE * (scanRows / Math.max(scanCols, 1))); + const [navZoom, setNavZoom] = React.useState(1); + const [navPanX, setNavPanX] = React.useState(0); + const [navPanY, setNavPanY] = React.useState(0); + const [maskAction, setMaskAction] = React.useState<"add" | "subtract">("add"); + const [maskRenderVersion, setMaskRenderVersion] = React.useState(0); + const [shapePreview, setShapePreview] = React.useState<{ r0: number; c0: number; r1: number; c1: number } | null>(null); + const [plotXMin, setPlotXMin] = React.useState(0); + const [plotXMax, setPlotXMax] = React.useState(10); + const [plotYMin, setPlotYMin] = React.useState(-1); + const [plotYMax, setPlotYMax] = React.useState(1); + const [ikLogScale, setIkLogScale] = React.useState(true); + const [cursorData, setCursorData] = React.useState<{ x: number; y: number } | null>(null); + // Heatmap hover readout: position along line, r/k, and the stack value there. + const [hmHover, setHmHover] = React.useState<{ pos: number; r: number; val: number } | null>(null); + const [localProbe, setLocalProbe] = React.useState<{ row: number; col: number }>({ row: probeRow, col: probeCol }); + const probeGenRef = React.useRef(0); + const isDraggingProbeRef = React.useRef(false); + // Line: local endpoints (scan coords) mirror the model for smooth dragging. + const [localLine, setLocalLine] = React.useState<{ r0: number; c0: number; r1: number; c1: number }>( + { r0: lineRow0, c0: lineCol0, r1: lineRow1, c1: lineCol1 }); + const localLineRef = React.useRef(localLine); + const lineGenRef = React.useRef(0); + const lineVersionRef = React.useRef(0); + const [localLineWidth, setLocalLineWidth] = React.useState(lineWidth); + const isDrawingLineRef = React.useRef(false); + const isDraggingLineBodyRef = React.useRef(false); + const draggingEndpointRef = React.useRef<0 | 1 | null>(null); + const lineDrawStartRef = React.useRef<{ row: number; col: number } | null>(null); + const lineBodyStartRef = React.useRef<{ imgX: number; imgY: number; line: { r0: number; c0: number; r1: number; c1: number } } | null>(null); + // Heatmap vertical reference guides (constant r/k) + geometry for click→r mapping. + const [hmGuides, setHmGuides] = React.useState([]); + const heatmapGeomRef = React.useRef<{ rLo: number; rHi: number; pwH: number; lenUnits: number; N: number; M: number; data: Float32Array } | null>(null); + const draggingGuideRef = React.useRef<{ index: number; moved: boolean; added: boolean } | null>(null); + const [localKFit, setLocalKFit] = React.useState<[number, number]>([kMinFit, kMaxFit]); + const [localKWin, setLocalKWin] = React.useState<[number, number]>([kMinWindow, kMaxWindow]); + const [localRMax, setLocalRMax] = React.useState(rMax); + const [localKLowpass, setLocalKLowpass] = React.useState(kLowpass); + const [localKHighpass, setLocalKHighpass] = React.useState(kHighpass); + const [localRCut, setLocalRCut] = React.useState(rCut); + const [localDensity, setLocalDensity] = React.useState(String(densityValue)); + const [dataVersion, setDataVersion] = React.useState(0); + + React.useEffect(() => { setLocalKFit([kMinFit, kMaxFit]); }, [kMinFit, kMaxFit]); + React.useEffect(() => { setLocalKWin([kMinWindow, kMaxWindow]); }, [kMinWindow, kMaxWindow]); + React.useEffect(() => { setLocalRMax(rMax); }, [rMax]); + React.useEffect(() => { setLocalKLowpass(kLowpass); }, [kLowpass]); + React.useEffect(() => { setLocalKHighpass(kHighpass); }, [kHighpass]); + React.useEffect(() => { setLocalRCut(rCut); }, [rCut]); + React.useEffect(() => { setLocalDensity(densityValue.toPrecision(4)); }, [densityValue]); + React.useEffect(() => { setLocalProbe({ row: probeRow, col: probeCol }); }, [probeRow, probeCol]); + React.useEffect(() => { + const nl = { r0: lineRow0, c0: lineCol0, r1: lineRow1, c1: lineCol1 }; + localLineRef.current = nl; + setLocalLine(nl); + }, [lineRow0, lineCol0, lineRow1, lineCol1]); + React.useEffect(() => { setLocalLineWidth(lineWidth); }, [lineWidth]); + // Line length (scan px) and undirected orientation (0°=horizontal, 90°=vertical). + const lineLenPx = Math.hypot(localLine.r1 - localLine.r0, localLine.c1 - localLine.c0); + const lineOrientDeg = ((Math.atan2(-(localLine.r1 - localLine.r0), localLine.c1 - localLine.c0) * 180 / Math.PI) % 180 + 180) % 180; + // The line actually sampled: perpendicular bisector of the drawn line when + // line_perpendicular is on, else the drawn line itself (mirrors Python). + function effectiveLine(l: { r0: number; c0: number; r1: number; c1: number }) { + if (!linePerp) return l; + const dr = l.r1 - l.r0, dc = l.c1 - l.c0, L = Math.hypot(dr, dc); + if (L === 0) return l; + const mr = (l.r0 + l.r1) / 2, mc = (l.c0 + l.c1) / 2, pr = -dc / L, pc = dr / L, half = L / 2; + return { r0: mr - pr * half, c0: mc - pc * half, r1: mr + pr * half, c1: mc + pc * half }; + } + + const userZoomedRef = React.useRef(false); + + // --- Refs --- + const navCanvasRef = React.useRef(null); + const navUiRef = React.useRef(null); // High-DPI overlay for scale bar + const navOverlayRef = React.useRef(null); + const navOffscreenRef = React.useRef(null); + const navImgDataRef = React.useRef(null); + const rawNavRef = React.useRef(null); + const maskRef = React.useRef(null); + const plotCanvasRef = React.useRef(null); + const ikXRef = React.useRef(null); + const ikYRef = React.useRef(null); + const ikBgRef = React.useRef(null); + const fkXRef = React.useRef(null); + const fkYRef = React.useRef(null); + const grXRef = React.useRef(null); + const grYRef = React.useRef(null); + const pdfXRef = React.useRef(null); + const pdfYRef = React.useRef(null); + const isPanningRef = React.useRef(false); + const panStartRef = React.useRef<{ x: number; y: number; px: number; py: number } | null>(null); + const isPaintingRef = React.useRef(false); + const shapeStartRef = React.useRef<{ row: number; col: number } | null>(null); + const isDraggingShapeRef = React.useRef(false); + const isPlotPanRef = React.useRef(false); + const plotPanStartRef = React.useRef<{ mx: number; my: number; xMin: number; xMax: number; yMin: number; yMax: number } | null>(null); + + // ========================================================================= + // Effect 1: Parse nav image + // ========================================================================= + React.useEffect(() => { + if (!navImageBytes || navImageBytes.byteLength < 4) return; + const raw = extractFloat32(navImageBytes); + if (!raw) return; + rawNavRef.current = raw; + if (!navOffscreenRef.current || navOffscreenRef.current.width !== scanCols || navOffscreenRef.current.height !== scanRows) { + const oc = document.createElement("canvas"); + oc.width = scanCols; + oc.height = scanRows; + navOffscreenRef.current = oc; + navImgDataRef.current = new ImageData(scanCols, scanRows); + } + if (!maskRef.current || maskRef.current.length !== scanRows * scanCols) { + maskRef.current = new Uint8Array(scanRows * scanCols).fill(1); + } + setDataVersion((v) => v + 1); + }, [navImageBytes, scanRows, scanCols]); + + // Effect 1b: Init mask from Python + React.useEffect(() => { + const raw = model.get("mask_bytes") as DataView | undefined; + if (!raw || raw.byteLength === 0) { + if (scanRows > 0 && scanCols > 0) + maskRef.current = new Uint8Array(scanRows * scanCols).fill(1); + } else { + maskRef.current = new Uint8Array(raw.buffer, raw.byteOffset, raw.byteLength).slice(); + } + setMaskRenderVersion((v) => v + 1); + }, [model, scanRows, scanCols]); + + // ========================================================================= + // Effect 2: Render nav to offscreen (expensive) + // ========================================================================= + React.useEffect(() => { + const raw = rawNavRef.current; + const oc = navOffscreenRef.current; + const imgData = navImgDataRef.current; + if (!raw || !oc || !imgData) return; + const lut = COLORMAPS[cmap] || COLORMAPS.inferno; + const processed = logScale ? applyLogScale(raw) : raw; + let vmin: number, vmax: number; + if (autoContrast) { + ({ vmin, vmax } = percentileClip(processed, 2, 98)); + } else { + const range = findDataRange(processed); + vmin = range.min; + vmax = range.max; + } + renderToOffscreenReuse(processed, lut, vmin, vmax, oc, imgData); + setDataVersion((v) => v + 1); + }, [cmap, logScale, autoContrast, dataVersion]); + + // ========================================================================= + // Effect 3: Draw nav canvas (cheap) + // ========================================================================= + React.useLayoutEffect(() => { + const cvs = navCanvasRef.current; + const oc = navOffscreenRef.current; + if (!cvs || !oc || oc.width === 0) return; + const w = NAV_SIZE * DPR; + const h = navH * DPR; + cvs.width = w; + cvs.height = h; + const ctx = cvs.getContext("2d"); + if (!ctx) return; + ctx.clearRect(0, 0, w, h); + ctx.save(); + ctx.translate(w / 2 + navPanX * DPR, h / 2 + navPanY * DPR); + ctx.scale(navZoom, navZoom); + ctx.translate(-w / 2, -h / 2); + ctx.imageSmoothingEnabled = false; + ctx.drawImage(oc, 0, 0, scanCols, scanRows, 0, 0, w, h); + ctx.restore(); + }, [dataVersion, navZoom, navPanX, navPanY, navH, scanCols, scanRows]); + + // ========================================================================= + // Effect 3b: Nav scale bar (HiDPI overlay) + // ========================================================================= + React.useEffect(() => { + const cvs = navUiRef.current; + if (!cvs) return; + cvs.width = NAV_SIZE * DPR; + cvs.height = navH * DPR; + const unit = (navUnit === "Å" ? "Å" : "px") as "Å" | "px"; + drawScaleBarHiDPI(cvs, DPR, navZoom, navPixelSize || 1, unit, scanCols); + }, [navZoom, navPanX, navPanY, navPixelSize, navUnit, scanCols, scanRows, navH]); + + // ========================================================================= + // Effect 4: Render mask overlay + // ========================================================================= + React.useLayoutEffect(() => { + const cvs = navOverlayRef.current; + if (!cvs) return; + const w = NAV_SIZE * DPR; + const h = navH * DPR; + cvs.width = w; + cvs.height = h; + const ctx = cvs.getContext("2d"); + if (!ctx) return; + ctx.clearRect(0, 0, w, h); + const scX = (NAV_SIZE * DPR) / Math.max(scanCols, 1); + const scY = (navH * DPR) / Math.max(scanRows, 1); + + // Probe mode: draw a single circle inscribed in the synthetic square at (localProbe). + if (analysisMode === "probe") { + const half = Math.max(0, probeSize - 1); + const r0 = localProbe.row - half; + const c0 = localProbe.col - half; + const sideScan = 2 * half + 1; + const sx = c0 * scX; + const sy = r0 * scY; + const sw = sideScan * scX; + const sh = sideScan * scY; + ctx.save(); + ctx.translate(w / 2 + navPanX * DPR, h / 2 + navPanY * DPR); + ctx.scale(navZoom, navZoom); + ctx.translate(-w / 2, -h / 2); + // Translucent fill of the square footprint (data actually used) + ctx.fillStyle = "rgba(100,200,255,0.18)"; + ctx.fillRect(sx, sy, sw, sh); + // Inscribed circle outline (visual probe) + ctx.strokeStyle = "rgba(100,200,255,1.0)"; + ctx.lineWidth = 2 / navZoom; + ctx.setLineDash([]); + ctx.beginPath(); + ctx.ellipse(sx + sw / 2, sy + sh / 2, sw / 2, sh / 2, 0, 0, Math.PI * 2); + ctx.stroke(); + ctx.restore(); + return; + } + + // Line mode: draw the reference line (the drawn line — its endpoints are the + // drag handles) and the scan line (perpendicular bisector when ⟂ is on). + if (analysisMode === "line") { + const ll = localLine; + const degenerate = ll.r0 === ll.r1 && ll.c0 === ll.c1; + if (!lineActive && !isDrawingLineRef.current && degenerate) return; + const sl = effectiveLine(ll); + const refAx = (ll.c0 + 0.5) * scX, refAy = (ll.r0 + 0.5) * scY; + const refBx = (ll.c1 + 0.5) * scX, refBy = (ll.r1 + 0.5) * scY; + const ax = (sl.c0 + 0.5) * scX, ay = (sl.r0 + 0.5) * scY; // scan start (A) + const bx = (sl.c1 + 0.5) * scX, by = (sl.r1 + 0.5) * scY; // scan end (B) + const bandPx = Math.max(0.5, localLineWidth) * (scX + scY) / 2; + ctx.save(); + ctx.translate(w / 2 + navPanX * DPR, h / 2 + navPanY * DPR); + ctx.scale(navZoom, navZoom); + ctx.translate(-w / 2, -h / 2); + // Reference line (dimmed, dashed) + its drag handles — only when ⟂, since + // otherwise the reference and scan lines coincide. + if (linePerp) { + ctx.strokeStyle = "rgba(180,180,180,0.75)"; + ctx.lineWidth = 1.5 / navZoom; + ctx.setLineDash([4 / navZoom, 3 / navZoom]); + ctx.beginPath(); ctx.moveTo(refAx, refAy); ctx.lineTo(refBx, refBy); ctx.stroke(); + ctx.setLineDash([]); + const rh = 3.5 / navZoom; + ctx.fillStyle = "rgba(200,200,200,0.95)"; + for (const [ex, ey] of [[refAx, refAy], [refBx, refBy]] as const) { + ctx.beginPath(); ctx.rect(ex - rh, ey - rh, rh * 2, rh * 2); ctx.fill(); + } + } + // Translucent band footprint (selected positions) along the scan line — + // flat ends (butt) so it's a rectangle of even width, matching the mask. + ctx.strokeStyle = "rgba(100,200,255,0.20)"; + ctx.lineWidth = bandPx; + ctx.lineCap = "butt"; + ctx.beginPath(); + ctx.moveTo(ax, ay); + ctx.lineTo(bx, by); + ctx.stroke(); + // Center segment + ctx.strokeStyle = "rgba(100,200,255,1.0)"; + ctx.lineWidth = 2 / navZoom; + ctx.lineCap = "butt"; + ctx.setLineDash([]); + ctx.beginPath(); + ctx.moveTo(ax, ay); + ctx.lineTo(bx, by); + ctx.stroke(); + // Arrowhead at the end (B) pointing start→end, so direction is unambiguous. + const segLen = Math.hypot(bx - ax, by - ay); + if (segLen > 0) { + const ux = (bx - ax) / segLen, uy = (by - ay) / segLen; + const ah = 9 / navZoom; + const px = -uy, py = ux; // perpendicular + ctx.fillStyle = "rgba(255,110,110,1)"; + ctx.beginPath(); + ctx.moveTo(bx, by); + ctx.lineTo(bx - ah * ux + ah * 0.5 * px, by - ah * uy + ah * 0.5 * py); + ctx.lineTo(bx - ah * ux - ah * 0.5 * px, by - ah * uy - ah * 0.5 * py); + ctx.closePath(); + ctx.fill(); + } + // Scan endpoints: start (A) green, end (B) red, with labels. When ⟂ these + // are not the drag handles (those are on the dimmed reference line above). + const hr = 4 / navZoom; + const ends = [ + [ax, ay, "rgba(100,225,140,1)", "A"], + [bx, by, "rgba(255,110,110,1)", "B"], + ] as const; + for (const [ex, ey, col, lbl] of ends) { + ctx.fillStyle = col; + ctx.beginPath(); + ctx.ellipse(ex, ey, hr, hr, 0, 0, Math.PI * 2); + ctx.fill(); + ctx.font = `${12 / navZoom}px ${FONT}`; + ctx.textAlign = "left"; ctx.textBaseline = "bottom"; + ctx.fillText(lbl, ex + hr + 1 / navZoom, ey - hr); + } + ctx.restore(); + return; + } + + // Mask mode: paint excluded pixels with a translucent overlay. + const mask = maskRef.current; + if (!mask || mask.length === 0) return; + const mc = document.createElement("canvas"); + mc.width = scanCols; + mc.height = scanRows; + const mctx = mc.getContext("2d")!; + const mimg = mctx.createImageData(scanCols, scanRows); + for (let i = 0; i < mask.length; i++) { + if (mask[i] === 0) { + mimg.data[i * 4] = 255; + mimg.data[i * 4 + 1] = 0; + mimg.data[i * 4 + 2] = 0; + mimg.data[i * 4 + 3] = 110; + } + } + mctx.putImageData(mimg, 0, 0); + ctx.save(); + ctx.translate(w / 2 + navPanX * DPR, h / 2 + navPanY * DPR); + ctx.scale(navZoom, navZoom); + ctx.translate(-w / 2, -h / 2); + ctx.imageSmoothingEnabled = false; + ctx.drawImage(mc, 0, 0, scanCols, scanRows, 0, 0, w, h); + ctx.restore(); + // Shape preview + if (shapePreview && isDraggingShapeRef.current) { + const { r0, c0, r1, c1 } = shapePreview; + const scX = (NAV_SIZE * DPR) / Math.max(scanCols, 1); + const scY = (navH * DPR) / Math.max(scanRows, 1); + ctx.save(); + ctx.translate(w / 2 + navPanX * DPR, h / 2 + navPanY * DPR); + ctx.scale(navZoom, navZoom); + ctx.translate(-w / 2, -h / 2); + ctx.strokeStyle = maskAction === "add" ? "rgba(100,200,255,0.9)" : "rgba(255,100,100,0.9)"; + ctx.lineWidth = 2 / navZoom; + ctx.setLineDash([4 / navZoom, 4 / navZoom]); + const sx = Math.min(c0, c1) * scX; + const sy = Math.min(r0, r1) * scY; + const sw = Math.abs(c1 - c0) * scX; + const sh = Math.abs(r1 - r0) * scY; + if (maskTool === "circle") { + ctx.beginPath(); + ctx.ellipse((c0 + c1) / 2 * scX, (r0 + r1) / 2 * scY, sw / 2, sh / 2, 0, 0, Math.PI * 2); + ctx.stroke(); + } else { + ctx.strokeRect(sx, sy, sw, sh); + } + ctx.restore(); + } + }, [maskRenderVersion, navZoom, navPanX, navPanY, navH, scanRows, scanCols, shapePreview, maskAction, maskTool, analysisMode, localProbe, probeSize, localLine, localLineWidth, lineActive, linePerp]); + + // ========================================================================= + // Effect 5: Parse curve bytes + auto-fit + // ========================================================================= + React.useEffect(() => { + ikXRef.current = ikXBytes ? extractFloat32(ikXBytes) : null; + ikYRef.current = ikYBytes ? extractFloat32(ikYBytes) : null; + ikBgRef.current = ikBgYBytes ? extractFloat32(ikBgYBytes) : null; + fkXRef.current = fkXBytes ? extractFloat32(fkXBytes) : null; + fkYRef.current = fkYBytes ? extractFloat32(fkYBytes) : null; + grXRef.current = grXBytes ? extractFloat32(grXBytes) : null; + grYRef.current = grYBytes ? extractFloat32(grYBytes) : null; + pdfXRef.current = pdfXBytes ? extractFloat32(pdfXBytes) : null; + pdfYRef.current = pdfYBytes ? extractFloat32(pdfYBytes) : null; + if (!userZoomedRef.current) autoFitPlot(); + }, [ikXBytes, ikYBytes, ikBgYBytes, fkXBytes, fkYBytes, grXBytes, grYBytes, pdfXBytes, pdfYBytes]); + + React.useEffect(() => { userZoomedRef.current = false; autoFitPlot(); }, [plotMode]); + // r/k units change with plot mode, so existing guide positions become invalid. + React.useEffect(() => { setHmGuides([]); }, [plotMode]); + + function autoFitPlot() { + let xArr: Float32Array | null = null; + let yArr: Float32Array | null = null; + if (plotMode === "Ik") { xArr = ikXRef.current; yArr = ikYRef.current; } + else if (plotMode === "Fk") { xArr = fkXRef.current; yArr = fkYRef.current; } + else if (plotMode === "gr") { xArr = pdfXRef.current; yArr = pdfYRef.current; } + else { xArr = grXRef.current; yArr = grYRef.current; } + if (!xArr || !yArr || xArr.length === 0) return; + const xR = findDataRange(xArr); + const useLog = plotMode === "Ik" && ikLogScale; + const yR = findDataRange(yArr); + setPlotXMin(xR.min); + setPlotXMax(xR.max); + if (useLog) { + const logMin = yR.min > 0 ? Math.log10(yR.min) : 0; + const logMax = yR.max > 0 ? Math.log10(yR.max) : 1; + const logPad = (logMax - logMin) * 0.05 || 0.1; + setPlotYMin(logMin - logPad); + setPlotYMax(logMax + logPad); + } else { + const yPad = (yR.max - yR.min) * 0.05 || 0.1; + setPlotYMin(yR.min - yPad); + setPlotYMax(yR.max + yPad); + } + } + + // Value of the currently displayed 1D curve at a given x (linear interp). + function curveValueAt(x: number): number | null { + let xa: Float32Array | null, ya: Float32Array | null; + if (plotMode === "Ik") { xa = ikXRef.current; ya = ikYRef.current; } + else if (plotMode === "Fk") { xa = fkXRef.current; ya = fkYRef.current; } + else if (plotMode === "gr") { xa = pdfXRef.current; ya = pdfYRef.current; } + else { xa = grXRef.current; ya = grYRef.current; } + if (!xa || !ya || xa.length === 0) return null; + const n = Math.min(xa.length, ya.length); + if (x <= xa[0]) return ya[0]; + if (x >= xa[n - 1]) return ya[n - 1]; + let lo = 0, hi = n - 1; + while (hi - lo > 1) { const m = (lo + hi) >> 1; if (xa[m] <= x) lo = m; else hi = m; } + const span = xa[hi] - xa[lo]; + const t = span !== 0 ? (x - xa[lo]) / span : 0; + return ya[lo] + t * (ya[hi] - ya[lo]); + } + + // ========================================================================= + // Effect 6: Render 1D plot + // ========================================================================= + React.useLayoutEffect(() => { + const cvs = plotCanvasRef.current; + if (!cvs) return; + const cw = PLOT_W * DPR; + const ch = PLOT_H * DPR; + cvs.width = cw; + cvs.height = ch; + const ctx = cvs.getContext("2d"); + if (!ctx) return; + ctx.scale(DPR, DPR); + const mL = MARGIN_LEFT_MIN, mT = MARGIN_TOP, mR = MARGIN_RIGHT, mB = MARGIN_BOTTOM; + const pw = PLOT_W - mL - mR; + const ph = PLOT_H - mT - mB; + if (pw <= 0 || ph <= 0) return; + + // Line-scan heatmap: r/k (x) vs position-along-line (y), color = curve value. + if (analysisMode === "line" && lineMode === "linescan") { + const CB_RESERVE = 52; // right-side room for the colorbar + labels + const pwH = pw - CB_RESERVE; // heatmap plot width (x = r/k) + ctx.fillStyle = isDark ? "#1a1a1a" : "#f8f8f8"; + ctx.fillRect(0, 0, PLOT_W, PLOT_H); + const N = nLinescan, M = linescanNPoints; + const ready = N > 0 && M > 0 && !!linescanBytes && linescanBytes.byteLength >= N * M * 4; + if (!ready) { + heatmapGeomRef.current = null; + ctx.fillStyle = isDark ? "#888" : "#777"; + ctx.font = `14px ${FONT}`; ctx.textAlign = "center"; ctx.textBaseline = "middle"; + ctx.fillText(lineActive ? "Computing line-scan…" : "Draw a line to compute the line-scan", mL + pwH / 2, mT + ph / 2); + return; + } + const data = extractFloat32(linescanBytes); + if (!data) return; + const axis = linescanAxisBytes && linescanAxisBytes.byteLength >= M * 4 ? extractFloat32(linescanAxisBytes) : null; + let nf = 0; + for (let i = 0; i < N * M; i++) if (isFinite(data[i])) nf++; + const finite = new Float32Array(nf); + let fi = 0; + for (let i = 0; i < N * M; i++) { const v = data[i]; if (isFinite(v)) finite[fi++] = v; } + const { vmin, vmax } = percentileClip(finite, 1, 99); + const lut = COLORMAPS.viridis || COLORMAPS.inferno; + // Offscreen M (x = r/k) × N (y = position); col 0 = smallest r/k (left), + // row 0 = top = end of line (position increases upward, start (A) at bottom). + const img = new Float32Array(M * N); + for (let bin = 0; bin < N; bin++) + for (let j = 0; j < M; j++) { const v = data[bin * M + j]; img[(N - 1 - bin) * M + j] = isFinite(v) ? v : vmin; } + const off = renderToOffscreen(img, M, N, lut, vmin, vmax); + if (off) { ctx.imageSmoothingEnabled = true; ctx.drawImage(off, 0, 0, M, N, mL, mT, pwH, ph); } + const lenScan = Math.hypot(localLine.r1 - localLine.r0, localLine.c1 - localLine.c0); + const calibrated = navUnit === "Å" && navPixelSize > 0; + const lenUnits = calibrated ? lenScan * navPixelSize : lenScan; + const rLo = axis ? axis[0] : 0, rHi = axis ? axis[M - 1] : 1; + heatmapGeomRef.current = { rLo, rHi, pwH, lenUnits, N, M, data }; + const hx = (rv: number) => mL + ((rv - rLo) / ((rHi - rLo) || 1)) * pwH; // r/k → x + const hy = (pos: number) => mT + ph - (pos / (lenUnits || 1)) * ph; // position → y + // Vertical guide lines (constant r/k) for checking how straight features are. + if (hmGuides.length) { + for (const gv of hmGuides) { + const cx = snap(hx(gv)); + if (cx < mL || cx > mL + pwH) continue; + ctx.strokeStyle = isDark ? "rgba(255,255,255,0.85)" : "rgba(0,0,0,0.8)"; + ctx.lineWidth = 1; ctx.setLineDash([5, 4]); + ctx.beginPath(); ctx.moveTo(cx, mT); ctx.lineTo(cx, mT + ph); ctx.stroke(); + ctx.setLineDash([]); + ctx.fillStyle = isDark ? "#eee" : "#222"; ctx.font = `10px ${MONO}`; + ctx.textAlign = "center"; ctx.textBaseline = "top"; + ctx.fillText(formatNumber(gv), cx, mT + 2); + } + } + // Axes + ctx.strokeStyle = isDark ? "#666" : "#999"; ctx.lineWidth = 1; ctx.setLineDash([]); + ctx.beginPath(); ctx.moveTo(snap(mL), mT); ctx.lineTo(snap(mL), snap(mT + ph)); ctx.lineTo(mL + pwH, snap(mT + ph)); ctx.stroke(); + ctx.fillStyle = isDark ? "#aaa" : "#555"; ctx.font = `13px ${FONT}`; + ctx.textAlign = "center"; ctx.textBaseline = "top"; // X ticks: r/k + for (const tv of computeTicks(rLo, rHi, Math.max(3, Math.floor(pwH / TICK_LABEL_W)))) { + const cx = snap(hx(tv)); if (cx < mL - 1 || cx > mL + pwH + 1) continue; + ctx.beginPath(); ctx.moveTo(cx, mT + ph); ctx.lineTo(cx, mT + ph + AXIS_TICK_PX); ctx.stroke(); + ctx.fillText(formatNumber(tv), cx, mT + ph + AXIS_TICK_PX + 2); + } + ctx.textAlign = "right"; ctx.textBaseline = "middle"; // Y ticks: position + for (const tv of computeTicks(0, lenUnits, Math.max(3, Math.floor(ph / 40)))) { + const cy = snap(hy(tv)); if (cy < mT - 1 || cy > mT + ph + 1) continue; + ctx.beginPath(); ctx.moveTo(mL, cy); ctx.lineTo(mL - AXIS_TICK_PX, cy); ctx.stroke(); + ctx.fillText(formatNumber(tv), mL - AXIS_TICK_PX - 2, cy); + } + ctx.font = `14px ${FONT}`; ctx.fillStyle = isDark ? "#ccc" : "#333"; ctx.textAlign = "center"; ctx.textBaseline = "top"; + ctx.fillText((plotMode === "Gr" || plotMode === "gr") ? "r (Å)" : "k (Å⁻¹)", mL + pwH / 2, mT + ph + AXIS_TICK_PX + 26); + ctx.save(); ctx.translate(14, mT + ph / 2); ctx.rotate(-Math.PI / 2); ctx.textAlign = "center"; ctx.textBaseline = "top"; + ctx.fillText(calibrated ? "position (Å)" : "position (px)", 0, 0); ctx.restore(); + // Start/end markers tying the heatmap to the nav line endpoints. + ctx.font = `11px ${MONO}`; ctx.textAlign = "left"; + ctx.fillStyle = "rgba(255,110,110,1)"; ctx.textBaseline = "top"; + ctx.fillText("B", mL + 4, mT + 3); + ctx.fillStyle = "rgba(100,225,140,1)"; ctx.textBaseline = "bottom"; + ctx.fillText("A", mL + 4, mT + ph - 3); + // Colorbar + const barX = mL + pwH + 14, barY = mT, barH = ph, barW = 12; + for (let row = 0; row < barH; row++) { + const t = 1 - row / Math.max(1, barH - 1); const li = Math.round(t * 255) * 3; + ctx.fillStyle = `rgb(${lut[li]},${lut[li + 1]},${lut[li + 2]})`; + ctx.fillRect(barX, barY + row, barW, 1); + } + ctx.strokeStyle = isDark ? "#666" : "#999"; ctx.lineWidth = 1; ctx.strokeRect(snap(barX), snap(barY), barW, barH); + ctx.fillStyle = isDark ? "#aaa" : "#555"; ctx.font = `10px ${MONO}`; ctx.textAlign = "left"; + ctx.textBaseline = "top"; ctx.fillText(formatNumber(vmax), barX + barW + 3, barY); + ctx.textBaseline = "middle"; ctx.fillText(formatNumber((vmin + vmax) / 2), barX + barW + 3, barY + barH / 2); + ctx.textBaseline = "bottom"; ctx.fillText(formatNumber(vmin), barX + barW + 3, barY + barH); + // Hover crosshair + value readout (position, r, stack value). + if (hmHover) { + const cx = snap(hx(hmHover.r)), cy = snap(hy(hmHover.pos)); + if (cx >= mL && cx <= mL + pwH && cy >= mT && cy <= mT + ph) { + ctx.strokeStyle = isDark ? "rgba(255,255,255,0.5)" : "rgba(0,0,0,0.5)"; + ctx.lineWidth = 1; ctx.setLineDash([3, 3]); + ctx.beginPath(); ctx.moveTo(cx, mT); ctx.lineTo(cx, mT + ph); ctx.stroke(); + ctx.beginPath(); ctx.moveTo(mL, cy); ctx.lineTo(mL + pwH, cy); ctx.stroke(); + ctx.setLineDash([]); + const label = `${formatNumber(hmHover.r)}, ${formatNumber(hmHover.pos)} → ${formatNumber(hmHover.val)}`; + ctx.font = `12px ${MONO}`; + const tw = ctx.measureText(label).width + 8; + let bx = cx + 10; if (bx + tw > mL + pwH) bx = cx - tw - 10; + let by = Math.max(mT, Math.min(mT + ph - 18, cy - 22)); + ctx.fillStyle = isDark ? "rgba(30,30,30,0.92)" : "rgba(255,255,255,0.92)"; + ctx.fillRect(bx, by, tw, 18); + ctx.strokeStyle = isDark ? "#555" : "#ccc"; ctx.lineWidth = 1; ctx.strokeRect(bx, by, tw, 18); + ctx.fillStyle = isDark ? "#eee" : "#333"; ctx.textAlign = "left"; ctx.textBaseline = "middle"; + ctx.fillText(label, bx + 4, by + 9); + } + } + if (computing) { ctx.fillStyle = isDark ? "rgba(0,0,0,0.3)" : "rgba(255,255,255,0.3)"; ctx.fillRect(mL, mT, pwH, ph); } + return; + } + + const xMin = plotXMin, xMax = plotXMax, yMin = plotYMin, yMax = plotYMax; + const xRange = xMax - xMin || 1; + const yRange = yMax - yMin || 1; + const d2cx = (dx: number) => mL + ((dx - xMin) / xRange) * pw; + const useLogY = plotMode === "Ik" && ikLogScale; + // Maps axis-space value to canvas y (yMin/yMax are already in log10 space when useLogY) + const d2cy = (dy: number) => mT + ph - ((dy - yMin) / yRange) * ph; + // Maps raw data value to canvas y, applying log10 when needed + const d2cyData = (dy: number) => { + const v = useLogY ? (dy > 0 ? Math.log10(dy) : yMin) : dy; + return mT + ph - ((v - yMin) / yRange) * ph; + }; + + // Background + ctx.fillStyle = isDark ? "#1a1a1a" : "#f8f8f8"; + ctx.fillRect(0, 0, PLOT_W, PLOT_H); + // Grid + ctx.strokeStyle = isDark ? "rgba(255,255,255,0.08)" : "rgba(0,0,0,0.08)"; + ctx.lineWidth = 1; + ctx.setLineDash([2, 3]); + const xTicks = computeTicks(xMin, xMax, Math.max(3, Math.floor(pw / TICK_LABEL_W))); + for (const tv of xTicks) { const cx = snap(d2cx(tv)); ctx.beginPath(); ctx.moveTo(cx, mT); ctx.lineTo(cx, mT + ph); ctx.stroke(); } + const yTicks = computeTicks(yMin, yMax, Math.max(3, Math.floor(ph / 40))); + for (const tv of yTicks) { const cy = snap(d2cy(tv)); ctx.beginPath(); ctx.moveTo(mL, cy); ctx.lineTo(mL + pw, cy); ctx.stroke(); } + ctx.setLineDash([]); + // Axes + ctx.strokeStyle = isDark ? "#666" : "#999"; + ctx.lineWidth = 1; + ctx.beginPath(); ctx.moveTo(snap(mL), mT); ctx.lineTo(snap(mL), snap(mT + ph)); ctx.lineTo(mL + pw, snap(mT + ph)); ctx.stroke(); + // X ticks + ctx.fillStyle = isDark ? "#aaa" : "#555"; + ctx.font = `13px ${FONT}`; + ctx.textAlign = "center"; ctx.textBaseline = "top"; + for (const tv of xTicks) { const cx = snap(d2cx(tv)); ctx.beginPath(); ctx.moveTo(cx, mT + ph); ctx.lineTo(cx, mT + ph + AXIS_TICK_PX); ctx.stroke(); ctx.fillText(formatNumber(tv), cx, mT + ph + AXIS_TICK_PX + 2); } + // Y ticks + ctx.textAlign = "right"; ctx.textBaseline = "middle"; + for (const tv of yTicks) { const cy = snap(d2cy(tv)); ctx.beginPath(); ctx.moveTo(mL, cy); ctx.lineTo(mL - AXIS_TICK_PX, cy); ctx.stroke(); ctx.fillText(useLogY ? formatNumber(Math.pow(10, tv)) : formatNumber(tv), mL - AXIS_TICK_PX - 2, cy); } + // Axis labels + ctx.font = `14px ${FONT}`; ctx.fillStyle = isDark ? "#ccc" : "#333"; ctx.textAlign = "center"; ctx.textBaseline = "top"; + const xAxisLabel = (plotMode === "Gr" || plotMode === "gr") ? "r (Å)" : "k (Å⁻¹)"; + ctx.fillText(xAxisLabel, mL + pw / 2, mT + ph + AXIS_TICK_PX + 26); + ctx.save(); ctx.translate(14, mT + ph / 2); ctx.rotate(-Math.PI / 2); ctx.textAlign = "center"; ctx.textBaseline = "top"; + const yAxisLabel = plotMode === "Ik" ? "I(k)" : plotMode === "Fk" ? "F(k)" : plotMode === "gr" ? "g(r)" : "G(r)"; + ctx.fillText(yAxisLabel, 0, 0); ctx.restore(); + // Clip + ctx.save(); ctx.beginPath(); ctx.rect(mL, mT, pw, ph); ctx.clip(); + // Draw traces + const drawLine = (xD: Float32Array | null, yD: Float32Array | null, color: string, dashed = false, lw = 1.5) => { + if (!xD || !yD) return; + ctx.strokeStyle = color; ctx.lineWidth = lw; + if (dashed) ctx.setLineDash([4, 3]); else ctx.setLineDash([]); + ctx.beginPath(); + let started = false; + const len = Math.min(xD.length, yD.length); + for (let i = 0; i < len; i++) { + if (!isFinite(yD[i])) continue; + const cx = d2cx(xD[i]), cy = d2cyData(yD[i]); + if (!started) { ctx.moveTo(cx, cy); started = true; } else ctx.lineTo(cx, cy); + } + ctx.stroke(); ctx.setLineDash([]); + }; + const drawKRange = (k0: number, k1: number, color: string, label0: string, label1: string) => { + ctx.save(); + ctx.strokeStyle = color; + ctx.lineWidth = 2.5; + ctx.setLineDash([14, 6]); + ctx.fillStyle = color; + ctx.font = `11px ${MONO}`; + ctx.textBaseline = "top"; + for (const [kv, lbl, align] of [[k0, label0, "left"], [k1, label1, "right"]] as const) { + if (!isFinite(kv)) continue; + const cx = snap(d2cx(kv)); + if (cx < mL || cx > mL + pw) continue; + ctx.beginPath(); + ctx.moveTo(cx, mT); + ctx.lineTo(cx, mT + ph); + ctx.stroke(); + ctx.textAlign = align; + const tx = align === "left" ? cx + 3 : cx - 3; + ctx.fillText(lbl, tx, mT + 2); + } + ctx.restore(); + }; + if (plotMode === "Ik") { + drawLine(ikXRef.current, ikYRef.current, TRACE_COLORS.ik); + if (showBackground) drawLine(ikXRef.current, ikBgRef.current, TRACE_COLORS.bg, true); + drawKRange(kMinFit, kMaxFit, "#ffb300", "k fit", ""); + } else if (plotMode === "Fk") { + drawLine(fkXRef.current, fkYRef.current, TRACE_COLORS.fk); + drawKRange(kMinWindow, kMaxWindow, "#ffb300", "k window", ""); + } else if (plotMode === "gr") { + ctx.strokeStyle = isDark ? "rgba(255,255,255,0.2)" : "rgba(0,0,0,0.2)"; + ctx.lineWidth = 1; ctx.setLineDash([3, 3]); + const oneY = d2cy(1); ctx.beginPath(); ctx.moveTo(mL, oneY); ctx.lineTo(mL + pw, oneY); ctx.stroke(); ctx.setLineDash([]); + drawLine(pdfXRef.current, pdfYRef.current, TRACE_COLORS.pdf); + } else { + ctx.strokeStyle = isDark ? "rgba(255,255,255,0.2)" : "rgba(0,0,0,0.2)"; + ctx.lineWidth = 1; ctx.setLineDash([3, 3]); + const zy = d2cy(0); ctx.beginPath(); ctx.moveTo(mL, zy); ctx.lineTo(mL + pw, zy); ctx.stroke(); ctx.setLineDash([]); + drawLine(grXRef.current, grYRef.current, TRACE_COLORS.gr); + } + ctx.restore(); + // Crosshair — the readout snaps to the displayed curve's value at cursor x. + if (cursorData) { + const cval = curveValueAt(cursorData.x); + const cx = d2cx(cursorData.x); + if (cval !== null && isFinite(cval) && cx >= mL && cx <= mL + pw) { + const cy = d2cyData(cval); + ctx.strokeStyle = isDark ? "rgba(255,255,255,0.25)" : "rgba(0,0,0,0.25)"; + ctx.lineWidth = 1; ctx.setLineDash([3, 3]); + ctx.beginPath(); ctx.moveTo(snap(cx), mT); ctx.lineTo(snap(cx), mT + ph); ctx.stroke(); + ctx.setLineDash([]); + if (cy >= mT && cy <= mT + ph) { + ctx.fillStyle = isDark ? "#eee" : "#333"; + ctx.beginPath(); ctx.ellipse(cx, cy, 3, 3, 0, 0, Math.PI * 2); ctx.fill(); + } + const label = `${formatNumber(cursorData.x)}, ${formatNumber(cval)}`; + ctx.font = `12px ${MONO}`; + const tw = ctx.measureText(label).width + 8; + let bx = cx + 10; if (bx + tw > mL + pw) bx = cx - tw - 10; + let by = Math.max(mT, Math.min(mT + ph - 18, cy - 22)); + ctx.fillStyle = isDark ? "rgba(30,30,30,0.9)" : "rgba(255,255,255,0.9)"; + ctx.fillRect(bx, by, tw, 18); + ctx.strokeStyle = isDark ? "#555" : "#ccc"; ctx.lineWidth = 1; ctx.strokeRect(bx, by, tw, 18); + ctx.fillStyle = isDark ? "#eee" : "#333"; ctx.textAlign = "left"; ctx.textBaseline = "middle"; + ctx.fillText(label, bx + 4, by + 9); + } + } + if (computing) { + ctx.fillStyle = isDark ? "rgba(0,0,0,0.3)" : "rgba(255,255,255,0.3)"; + ctx.fillRect(mL, mT, pw, ph); + } + }, [PLOT_W, PLOT_H, plotXMin, plotXMax, plotYMin, plotYMax, plotMode, showBackground, ikLogScale, cursorData, computing, isDark, + ikXBytes, ikYBytes, ikBgYBytes, fkXBytes, fkYBytes, grXBytes, grYBytes, pdfXBytes, pdfYBytes, + kMinFit, kMaxFit, kMinWindow, kMaxWindow, + analysisMode, lineMode, nLinescan, linescanNPoints, linescanBytes, linescanAxisBytes, localLine, navPixelSize, navUnit, lineActive, hmGuides, hmHover]); + + // ========================================================================= + // Nav mouse handlers + // ========================================================================= + function screenToImage(e: React.MouseEvent) { + const cvs = navCanvasRef.current; + if (!cvs) return { row: 0, col: 0 }; + const rect = cvs.getBoundingClientRect(); + const sx = e.clientX - rect.left; + const sy = e.clientY - rect.top; + const cx = NAV_SIZE / 2, cy = navH / 2; + const imgX = (sx - cx - navPanX) / navZoom + cx; + const imgY = (sy - cy - navPanY) / navZoom + cy; + return { row: Math.round((imgY / navH) * scanRows), col: Math.round((imgX / NAV_SIZE) * scanCols) }; + } + + const maskVersionRef = React.useRef(maskVersion ?? 0); + function syncMaskToPython() { + if (!maskRef.current) return; + const copy = maskRef.current.slice(); + // Encode mask as base64 string (Bytes traits don't sync JS→Python in anywidget) + let binary = ""; + for (let i = 0; i < copy.length; i++) binary += String.fromCharCode(copy[i]); + model.set("mask_b64", btoa(binary)); + model.save_changes(); + // Increment mask_version to trigger Python observer + maskVersionRef.current += 1; + setMaskVersion_model(maskVersionRef.current); + } + + // Live probe move with rAF coalescing — accumulates rapid mousemoves and + // sends at most one model.set per display frame. + function syncProbeRAF(row: number, col: number) { + const r = Math.max(0, Math.min(scanRows - 1, row)); + const c = Math.max(0, Math.min(scanCols - 1, col)); + setLocalProbe({ row: r, col: c }); + const gen = ++probeGenRef.current; + requestAnimationFrame(() => { + if (gen !== probeGenRef.current) return; + if (r !== probeRow) setProbeRow(r); + if (c !== probeCol) setProbeCol(c); + }); + } + + // Mouse position in un-zoomed canvas (image) coordinates — used for + // hit-testing line endpoints/body in the same space the overlay draws in. + function screenToImgXY(e: React.MouseEvent) { + const cvs = navCanvasRef.current; + if (!cvs) return { imgX: 0, imgY: 0 }; + const rect = cvs.getBoundingClientRect(); + const sx = e.clientX - rect.left, sy = e.clientY - rect.top; + const cx = NAV_SIZE / 2, cy = navH / 2; + return { imgX: (sx - cx - navPanX) / navZoom + cx, imgY: (sy - cy - navPanY) / navZoom + cy }; + } + // Scan (row,col) → image-space pixel center (matches the overlay transform). + function scanToImgXY(row: number, col: number) { + return { imgX: (col + 0.5) / Math.max(scanCols, 1) * NAV_SIZE, imgY: (row + 0.5) / Math.max(scanRows, 1) * navH }; + } + function distToSegmentImg(px: number, py: number, ax: number, ay: number, bx: number, by: number) { + const dx = bx - ax, dy = by - ay; + const lenSq = dx * dx + dy * dy; + let t = lenSq > 0 ? ((px - ax) * dx + (py - ay) * dy) / lenSq : 0; + t = Math.max(0, Math.min(1, t)); + return Math.hypot(px - (ax + t * dx), py - (ay + t * dy)); + } + + function applyLineLocal(line: { r0: number; c0: number; r1: number; c1: number }) { + const clampR = (v: number) => Math.max(0, Math.min(scanRows - 1, v)); + const clampC = (v: number) => Math.max(0, Math.min(scanCols - 1, v)); + const nl = { r0: clampR(line.r0), c0: clampC(line.c0), r1: clampR(line.r1), c1: clampC(line.c1) }; + localLineRef.current = nl; + setLocalLine(nl); + return nl; + } + // Push endpoints + a single line_version bump → one Python recompute. + function commitLine(nl: { r0: number; c0: number; r1: number; c1: number }) { + model.set("line_row0", nl.r0); model.set("line_col0", nl.c0); + model.set("line_row1", nl.r1); model.set("line_col1", nl.c1); + if (!lineActive) model.set("line_active", true); + lineVersionRef.current = (model.get("line_version") as number ?? lineVersionRef.current) + 1; + model.set("line_version", lineVersionRef.current); + model.save_changes(); + } + // During a drag: update the local overlay every frame. In averaged mode also + // commit live (rAF-coalesced, one recompute per frame). In line-scan mode the + // N-PDF compute is heavy, so commit is deferred to mouse-up. + function dragLine(line: { r0: number; c0: number; r1: number; c1: number }) { + const nl = applyLineLocal(line); + if (lineMode !== "linescan") { + const gen = ++lineGenRef.current; + requestAnimationFrame(() => { if (gen === lineGenRef.current) commitLine(nl); }); + } + } + + function clearLine() { + isDrawingLineRef.current = false; + isDraggingLineBodyRef.current = false; + draggingEndpointRef.current = null; + const nl = { r0: 0, c0: 0, r1: 0, c1: 0 }; + localLineRef.current = nl; + setLocalLine(nl); + model.set("line_row0", 0); model.set("line_col0", 0); + model.set("line_row1", 0); model.set("line_col1", 0); + model.set("line_active", false); + lineVersionRef.current = (model.get("line_version") as number ?? 0) + 1; + model.set("line_version", lineVersionRef.current); + model.save_changes(); + } + + const handleNavMouseDown = (e: React.MouseEvent) => { + if (!maskRef.current) return; + e.preventDefault(); + if (e.button === 1 || (e.button === 0 && e.altKey)) { + if (lockDisplay) return; // pan locked + isPanningRef.current = true; + panStartRef.current = { x: e.clientX, y: e.clientY, px: navPanX, py: navPanY }; + return; + } + if (lockMask) return; // mask group locked: blocks paint AND probe drag + const { row, col } = screenToImage(e); + if (analysisMode === "line") { + const hit = 8 / navZoom; // endpoint/body hit radius in image px + const { imgX, imgY } = screenToImgXY(e); + if (lineActive) { + const e0 = scanToImgXY(localLineRef.current.r0, localLineRef.current.c0); + const e1 = scanToImgXY(localLineRef.current.r1, localLineRef.current.c1); + const d0 = Math.hypot(imgX - e0.imgX, imgY - e0.imgY); + const d1 = Math.hypot(imgX - e1.imgX, imgY - e1.imgY); + if (d0 < hit || d1 < hit) { + draggingEndpointRef.current = d0 <= d1 ? 0 : 1; + return; + } + if (distToSegmentImg(imgX, imgY, e0.imgX, e0.imgY, e1.imgX, e1.imgY) < hit) { + isDraggingLineBodyRef.current = true; + lineBodyStartRef.current = { imgX, imgY, line: { ...localLineRef.current } }; + return; + } + } + // Otherwise start drawing a fresh line from this point. + isDrawingLineRef.current = true; + lineDrawStartRef.current = { row, col }; + dragLine({ r0: row, c0: col, r1: row, c1: col }); + return; + } + if (analysisMode === "probe") { + isDraggingProbeRef.current = true; + syncProbeRAF(row, col); + return; + } + // "+" adds to the mask (excludes the area from analysis = 0); + // "-" removes from the mask (re-includes the area = 1). + const value = maskAction === "add" ? 0 : 1; + if (maskTool === "freeform") { + isPaintingRef.current = true; + const half = maskBrushSize - 1; + fillRectMask(maskRef.current, scanCols, scanRows, row - half, col - half, row + half, col + half, value); + setMaskRenderVersion((v) => v + 1); + } else { + isDraggingShapeRef.current = true; + shapeStartRef.current = { row, col }; + setShapePreview({ r0: row, c0: col, r1: row, c1: col }); + } + }; + + const handleNavMouseMove = (e: React.MouseEvent) => { + if (isPanningRef.current && panStartRef.current) { + setNavPanX(panStartRef.current.px + e.clientX - panStartRef.current.x); + setNavPanY(panStartRef.current.py + e.clientY - panStartRef.current.y); + return; + } + const { row, col } = screenToImage(e); + if (isDraggingProbeRef.current) { + syncProbeRAF(row, col); + return; + } + if (isDrawingLineRef.current && lineDrawStartRef.current) { + const s = lineDrawStartRef.current; + dragLine({ r0: s.row, c0: s.col, r1: row, c1: col }); + return; + } + if (draggingEndpointRef.current !== null) { + const upd = draggingEndpointRef.current === 0 ? { r0: row, c0: col } : { r1: row, c1: col }; + dragLine({ ...localLineRef.current, ...upd }); + return; + } + if (isDraggingLineBodyRef.current && lineBodyStartRef.current) { + const { imgX, imgY } = screenToImgXY(e); + const start = lineBodyStartRef.current; + const dRow = (imgY - start.imgY) / navH * scanRows; + const dCol = (imgX - start.imgX) / NAV_SIZE * scanCols; + dragLine({ + r0: start.line.r0 + dRow, c0: start.line.c0 + dCol, + r1: start.line.r1 + dRow, c1: start.line.c1 + dCol, + }); + return; + } + if (isPaintingRef.current && maskRef.current) { + const half = maskBrushSize - 1; + fillRectMask(maskRef.current, scanCols, scanRows, row - half, col - half, row + half, col + half, maskAction === "add" ? 0 : 1); + setMaskRenderVersion((v) => v + 1); + } + if (isDraggingShapeRef.current && shapeStartRef.current) + setShapePreview({ r0: shapeStartRef.current.row, c0: shapeStartRef.current.col, r1: row, c1: col }); + }; + + const handleNavMouseUp = () => { + if (isPanningRef.current) { isPanningRef.current = false; panStartRef.current = null; return; } + if (isDraggingProbeRef.current) { isDraggingProbeRef.current = false; return; } + if (isDrawingLineRef.current) { isDrawingLineRef.current = false; lineDrawStartRef.current = null; commitLine(localLineRef.current); return; } + if (draggingEndpointRef.current !== null) { draggingEndpointRef.current = null; commitLine(localLineRef.current); return; } + if (isDraggingLineBodyRef.current) { isDraggingLineBodyRef.current = false; lineBodyStartRef.current = null; commitLine(localLineRef.current); return; } + if (isPaintingRef.current) { isPaintingRef.current = false; syncMaskToPython(); return; } + if (isDraggingShapeRef.current && shapeStartRef.current && maskRef.current && shapePreview) { + const value = maskAction === "add" ? 0 : 1; + const { r0, c0, r1, c1 } = shapePreview; + if (maskTool === "circle") { + fillCircleMask(maskRef.current, scanCols, scanRows, (r0 + r1) / 2, (c0 + c1) / 2, Math.max(Math.abs(c1 - c0), Math.abs(r1 - r0)) / 2, value); + } else { + fillRectMask(maskRef.current, scanCols, scanRows, r0, c0, r1, c1, value); + } + setMaskRenderVersion((v) => v + 1); + syncMaskToPython(); + } + isDraggingShapeRef.current = false; shapeStartRef.current = null; setShapePreview(null); + }; + + const handleNavWheel = (e: React.WheelEvent) => { + e.preventDefault(); e.stopPropagation(); + if (lockDisplay) return; // zoom locked + setNavZoom((z) => Math.max(MIN_ZOOM, Math.min(MAX_ZOOM, z * (e.deltaY > 0 ? 0.9 : 1.1)))); + }; + + // ========================================================================= + // Plot mouse handlers + // ========================================================================= + function plotScreenToData(e: React.MouseEvent) { + const cvs = plotCanvasRef.current; + if (!cvs) return null; + const rect = cvs.getBoundingClientRect(); + const sx = e.clientX - rect.left, sy = e.clientY - rect.top; + const pw = PLOT_W - MARGIN_LEFT_MIN - MARGIN_RIGHT; + const ph = PLOT_H - MARGIN_TOP - MARGIN_BOTTOM; + return { + x: plotXMin + ((sx - MARGIN_LEFT_MIN) / pw) * (plotXMax - plotXMin), + y: plotYMin + ((MARGIN_TOP + ph - sy) / ph) * (plotYMax - plotYMin), + }; + } + + const handlePlotMouseDown = (e: React.MouseEvent) => { + e.preventDefault(); + // Line-scan heatmap: click empty space adds a vertical guide; click on an + // existing guide removes it; drag a guide to fine-tune its r/k position. + if (analysisMode === "line" && lineMode === "linescan") { + const g = heatmapGeomRef.current; + const cvs = plotCanvasRef.current; + if (g && cvs) { + const rect = cvs.getBoundingClientRect(); + const sx = e.clientX - rect.left, sy = e.clientY - rect.top; + const mL = MARGIN_LEFT_MIN, mT = MARGIN_TOP; + const ph = PLOT_H - mT - MARGIN_BOTTOM; + if (sx >= mL && sx <= mL + g.pwH && sy >= mT && sy <= mT + ph) { + const r = g.rLo + ((sx - mL) / g.pwH) * (g.rHi - g.rLo); + const tolR = ((g.rHi - g.rLo) / g.pwH) * 6; + const near = hmGuides.findIndex((v) => Math.abs(v - r) <= tolR); + if (near >= 0) { + draggingGuideRef.current = { index: near, moved: false, added: false }; + } else { + draggingGuideRef.current = { index: hmGuides.length, moved: false, added: true }; + setHmGuides((prev) => [...prev, r]); + } + } + } + return; + } + if (lockDisplay) return; // pan locked + isPlotPanRef.current = true; + plotPanStartRef.current = { mx: e.clientX, my: e.clientY, xMin: plotXMin, xMax: plotXMax, yMin: plotYMin, yMax: plotYMax }; + }; + + const handlePlotMouseMove = (e: React.MouseEvent) => { + // Dragging a heatmap guide line to fine-tune its r/k position. + if (draggingGuideRef.current) { + const g = heatmapGeomRef.current; + const cvs = plotCanvasRef.current; + if (g && cvs) { + const rect = cvs.getBoundingClientRect(); + const sx = e.clientX - rect.left; + const mL = MARGIN_LEFT_MIN; + const r = Math.max(g.rLo, Math.min(g.rHi, g.rLo + ((sx - mL) / g.pwH) * (g.rHi - g.rLo))); + const idx = draggingGuideRef.current.index; + draggingGuideRef.current.moved = true; + setHmGuides((prev) => { const c = [...prev]; if (idx < c.length) c[idx] = r; return c; }); + } + return; + } + // Heatmap hover: report position, r/k, and the stack value under the cursor. + if (analysisMode === "line" && lineMode === "linescan") { + const g = heatmapGeomRef.current; + const cvs = plotCanvasRef.current; + if (g && cvs) { + const rect = cvs.getBoundingClientRect(); + const sx = e.clientX - rect.left, sy = e.clientY - rect.top; + const mL = MARGIN_LEFT_MIN, mT = MARGIN_TOP, ph = PLOT_H - mT - MARGIN_BOTTOM; + if (sx >= mL && sx <= mL + g.pwH && sy >= mT && sy <= mT + ph) { + const r = g.rLo + ((sx - mL) / g.pwH) * (g.rHi - g.rLo); + const pos = (1 - (sy - mT) / ph) * g.lenUnits; // 0 at bottom + const j = Math.max(0, Math.min(g.M - 1, Math.round(((r - g.rLo) / ((g.rHi - g.rLo) || 1)) * (g.M - 1)))); + const bin = Math.max(0, Math.min(g.N - 1, Math.floor((pos / (g.lenUnits || 1)) * g.N))); + const val = g.data[bin * g.M + j]; + setHmHover({ pos, r, val }); + } else { + setHmHover(null); + } + } + return; + } + if (isPlotPanRef.current && plotPanStartRef.current) { + const dx = e.clientX - plotPanStartRef.current.mx; + const dy = e.clientY - plotPanStartRef.current.my; + const pw = PLOT_W - MARGIN_LEFT_MIN - MARGIN_RIGHT; + const ph = PLOT_H - MARGIN_TOP - MARGIN_BOTTOM; + const dxD = -(dx / pw) * (plotPanStartRef.current.xMax - plotPanStartRef.current.xMin); + const dyD = (dy / ph) * (plotPanStartRef.current.yMax - plotPanStartRef.current.yMin); + setPlotXMin(plotPanStartRef.current.xMin + dxD); setPlotXMax(plotPanStartRef.current.xMax + dxD); + setPlotYMin(plotPanStartRef.current.yMin + dyD); setPlotYMax(plotPanStartRef.current.yMax + dyD); + userZoomedRef.current = true; + return; + } + const d = plotScreenToData(e); + if (d) setCursorData(d); + }; + + const handlePlotMouseUp = () => { + const d = draggingGuideRef.current; + if (d) { + draggingGuideRef.current = null; + // A click (no drag) on an existing guide removes it; a click on empty + // space already added one, so leave it. + if (!d.moved && !d.added) setHmGuides((prev) => prev.filter((_, i) => i !== d.index)); + return; + } + isPlotPanRef.current = false; plotPanStartRef.current = null; + }; + + const handlePlotWheel = (e: React.WheelEvent) => { + e.preventDefault(); e.stopPropagation(); + if (lockDisplay) return; // zoom locked + const d = plotScreenToData(e); + if (!d) return; + const f = e.deltaY > 0 ? 1.1 : 1 / 1.1; + setPlotXMin((p) => d.x - (d.x - p) * f); setPlotXMax((p) => d.x + (p - d.x) * f); + setPlotYMin((p) => d.y - (d.y - p) * f); setPlotYMax((p) => d.y + (p - d.y) * f); + userZoomedRef.current = true; + }; + + // ========================================================================= + // Keyboard + // ========================================================================= + const handleKeyDown = (e: React.KeyboardEvent) => { + if (e.target instanceof HTMLInputElement || e.target instanceof HTMLTextAreaElement) return; + switch (e.key.toLowerCase()) { + case "r": if (!lockDisplay) { setNavZoom(1); setNavPanX(0); setNavPanY(0); userZoomedRef.current = false; autoFitPlot(); } break; + case "x": if (!lockMask) setMaskAction((a) => { + if (maskRef.current) { + maskRef.current.fill(a === "add" ? 0 : 1); + setMaskRenderVersion((v) => v + 1); + syncMaskToPython(); + } + return a === "add" ? "subtract" : "add"; + }); break; + case "c": + if (!lockMask && maskRef.current) { maskRef.current.fill(1); setMaskRenderVersion((v) => v + 1); syncMaskToPython(); } + break; + case "i": + if (!lockMask && maskRef.current) { for (let i = 0; i < maskRef.current.length; i++) maskRef.current[i] = maskRef.current[i] ? 0 : 1; setMaskRenderVersion((v) => v + 1); syncMaskToPython(); } + break; + case "1": setPlotMode("Ik"); break; + case "2": setPlotMode("Fk"); break; + case "3": setPlotMode("Gr"); break; + } + }; + + // Prevent scroll + React.useEffect(() => { + const h = (e: WheelEvent) => e.preventDefault(); + const opts: AddEventListenerOptions = { passive: false }; + const n1 = navCanvasRef.current?.parentElement; + const n2 = plotCanvasRef.current?.parentElement; + n1?.addEventListener("wheel", h, opts); + n2?.addEventListener("wheel", h, opts); + return () => { n1?.removeEventListener("wheel", h); n2?.removeEventListener("wheel", h); }; + }, []); + + // ========================================================================= + // Styles + // ========================================================================= + const typo = { + title: { fontSize: 15, fontWeight: 600, color: colors.accent, fontFamily: FONT }, + label: { fontSize: 13, color: colors.text, fontFamily: FONT }, + labelSmall: { fontSize: 12, fontWeight: 600, color: colors.textMuted, fontFamily: FONT }, + value: { fontSize: 12, fontFamily: MONO, color: colors.text }, + }; + const switchSmall = { "& .MuiSwitch-thumb": { width: 12, height: 12 }, "& .MuiSwitch-switchBase": { padding: "4px" } }; + const compactBtn = { fontSize: 12, minWidth: 36, px: 1, py: 0.25, textTransform: "none" as const }; + const imageBox = { position: "relative" as const, border: `1px solid ${colors.border}`, overflow: "hidden", bgcolor: isDark ? "#111" : "#eee" }; + + // ========================================================================= + // JSX + // ========================================================================= + return ( + + + {title || "PDF"} + + {computing && } + {statusMessage && {statusMessage}} + + + + + {/* LEFT: Nav + Mask */} + + + Scan ({scanRows}×{scanCols}) + + {(["mask", "probe", "line"] as const).map((m) => ( + + ))} + + + {analysisMode === "mask" && !hideMask && ( + + {(["rectangle", "circle", "freeform"] as const).map((tool) => ( + + ))} + + + + + )} + + + + +
{ isPaintingRef.current = false; isDraggingShapeRef.current = false; isDraggingProbeRef.current = false; setShapePreview(null); }} + onWheel={handleNavWheel} /> + + {showStats && !hideStats &&
{maskPixelCount} / {scanRows * scanCols} included ({(maskFraction * 100).toFixed(1)}%)
} + {showControls && ( + + {analysisMode === "mask" && maskTool === "freeform" && ( + + Brush: + setMaskBrushSize(v as number)} disabled={lockMask} min={1} max={20} size="small" + sx={{ width: 80, "& .MuiSlider-thumb": { width: 10, height: 10 } }} /> + {maskBrushSize} + + )} + {analysisMode === "probe" && ( + + Probe: + setProbeSize(v as number)} disabled={lockMask} min={1} max={100} size="small" + sx={{ width: 80, "& .MuiSlider-thumb": { width: 10, height: 10 } }} /> + {probeSize} + + @({localProbe.row}, {localProbe.col}) + + + )} + {analysisMode === "line" && ( + + Width: + setLocalLineWidth(v as number)} + onChangeCommitted={(_, v) => setLineWidth(v as number)} disabled={lockMask} min={1} max={100} size="small" + sx={{ width: 80, "& .MuiSlider-thumb": { width: 10, height: 10 } }} /> + {localLineWidth} + + {(["averaged", "linescan"] as const).map((lm) => ( + + ))} + + {lineActive ? `len ${lineLenPx.toFixed(1)} px · θ ${lineOrientDeg.toFixed(1)}°` : "draw a line…"} + + + + )} + + Cmap: + + + + )} + + + {/* RIGHT: Curves */} + + {/* Spacer matching the height of the left-panel mask-tools row, so + both canvases sit at the same vertical position in mask mode. */} + {analysisMode === "mask" && ( + + + + )} + + + {([["Ik", "I(k)"], ["Fk", "F(k)"], ["Gr", "G(r)"], ["gr", "g(r)"]] as const).map(([mode, label]) => ( + + ))} + + + {plotMode === "Ik" && (<>Log: + { setIkLogScale(e.target.checked); userZoomedRef.current = false; setTimeout(autoFitPlot, 0); }} size="small" sx={switchSmall} /> + Background: + setShowBackground(e.target.checked)} size="small" sx={switchSmall} />)} + + + + + { isPlotPanRef.current = false; draggingGuideRef.current = null; setCursorData(null); setHmHover(null); }} + onDoubleClick={() => { + if (analysisMode === "line" && lineMode === "linescan") { setHmGuides([]); return; } + if (!lockDisplay) { userZoomedRef.current = false; autoFitPlot(); } + }} onWheel={handlePlotWheel} /> + + {showStats && !hideStats && (() => { + const xLab = (plotMode === "Gr" || plotMode === "gr") ? "r" : "k"; + const yLab = plotMode === "Ik" ? "I" : plotMode === "Fk" ? "F" : plotMode === "gr" ? "g" : "G"; + if (analysisMode === "line" && lineMode === "linescan") { + if (!hmHover) return null; + return + {xLab} = {formatNumber(hmHover.r, 4)}, position = {formatNumber(hmHover.pos, 2)}, {yLab} = {formatNumber(hmHover.val, 4)} + ; + } + if (!cursorData) return null; + const v = curveValueAt(cursorData.x); + if (v === null) return null; + return + {xLab} = {formatNumber(cursorData.x, 4)}, {yLab} = {formatNumber(v, 4)} + ; + })()} + {showControls && !hideParameters && ( + + + k fit: + setLocalKFit(v as [number, number])} + onChangeCommitted={(_, v) => { const val = v as [number, number]; setKMinFit(val[0]); setKMaxFit(val[1]); }} + disabled={lockParameters} min={kMinAvail} max={kMaxAvail} step={0.01} size="small" + sx={{ flex: 1, "& .MuiSlider-thumb": { width: 10, height: 10 } }} /> + [{localKFit[0].toFixed(2)}, {localKFit[1].toFixed(2)}] + + + k window: + setLocalKWin(v as [number, number])} + onChangeCommitted={(_, v) => { const val = v as [number, number]; setKMinWindow(val[0]); setKMaxWindow(val[1]); }} + disabled={lockParameters} min={kMinAvail} max={kMaxAvail} step={0.01} size="small" + sx={{ flex: 1, "& .MuiSlider-thumb": { width: 10, height: 10 } }} /> + [{localKWin[0].toFixed(2)}, {localKWin[1].toFixed(2)}] + + + r max: + setLocalRMax(v as number)} + onChangeCommitted={(_, v) => setRMax(v as number)} disabled={lockParameters} min={1} max={50} step={0.5} size="small" + sx={{ flex: 1, "& .MuiSlider-thumb": { width: 10, height: 10 } }} /> + {localRMax.toFixed(1)} Å + + + k lowpass: + setLocalKLowpass(v as number)} + onChangeCommitted={(_, v) => setKLowpass(v as number)} disabled={lockParameters} min={0} max={0.1} step={0.001} size="small" + sx={{ flex: 1, "& .MuiSlider-thumb": { width: 10, height: 10 } }} /> + {localKLowpass > 0 ? localKLowpass.toFixed(3) : "off"} + + + k highpass: + setLocalKHighpass(v as number)} + onChangeCommitted={(_, v) => setKHighpass(v as number)} disabled={lockParameters} min={0} max={0.1} step={0.001} size="small" + sx={{ flex: 1, "& .MuiSlider-thumb": { width: 10, height: 10 } }} /> + {localKHighpass > 0 ? localKHighpass.toFixed(3) : "off"} + + + Damp: + setDampOrigin(e.target.checked)} size="small" sx={switchSmall} /> + {dampOrigin && (<> + r_cut: + setLocalRCut(v as number)} + onChangeCommitted={(_, v) => setRCut(v as number)} disabled={lockParameters} min={0.1} max={5} step={0.1} size="small" + sx={{ width: 80, "& .MuiSlider-thumb": { width: 10, height: 10 } }} /> + {localRCut.toFixed(1)} Å + )} + + {plotMode === "gr" && ( + + Density: + Estimated + setDensityMode(e.target.checked ? "manual" : "estimated")} + size="small" + sx={switchSmall} + /> + Manual + setLocalDensity(e.target.value)} + onBlur={() => { + const v = parseFloat(localDensity); + if (!isNaN(v) && v > 0 && v !== densityValue) setDensityValue(v); + else setLocalDensity(densityValue.toPrecision(4)); + }} + onKeyDown={(e) => { if (e.key === "Enter") (e.target as HTMLInputElement).blur(); }} + style={{ + width: 90, fontSize: 12, padding: "3px 6px", marginLeft: SPACING.LG, fontFamily: MONO, + border: `1px solid ${colors.border}`, + background: densityMode === "estimated" ? (isDark ? "#222" : "#f0f0f0") : (isDark ? "#1a1a1a" : "#fff"), + color: colors.textMuted, + outline: "none", + }} + /> + Å⁻³ + + )} + + )} + + + + ); +} + +export const render = createRender(ShowPDFWidget); diff --git a/widget/scripts/build.mjs b/widget/scripts/build.mjs index 7c8daea95..8d1fa963c 100644 --- a/widget/scripts/build.mjs +++ b/widget/scripts/build.mjs @@ -9,6 +9,7 @@ const watch = process.argv.includes("--watch"); const widgets = [ { name: "show2d" }, { name: "show4dstem" }, + { name: "showpdf" }, ]; rmSync("src/quantem/widget/static", { recursive: true, force: true }); diff --git a/widget/src/quantem/widget/__init__.py b/widget/src/quantem/widget/__init__.py index 96d8aebc3..64847fc0b 100644 --- a/widget/src/quantem/widget/__init__.py +++ b/widget/src/quantem/widget/__init__.py @@ -2,6 +2,7 @@ from quantem.widget.show2d import Show2D from quantem.widget.show4dstem import Show4DSTEM +from quantem.widget.showpdf import ShowPDF try: __version__ = version("quantem.widget") @@ -9,4 +10,4 @@ # Source-tree imports (e.g. `PYTHONPATH=src pytest`) skip pip install. __version__ = "0.0.0+local" -__all__ = ["Show2D", "Show4DSTEM"] +__all__ = ["Show2D", "Show4DSTEM", "ShowPDF"] diff --git a/widget/src/quantem/widget/detector.py b/widget/src/quantem/widget/detector.py new file mode 100644 index 000000000..3f55c990d --- /dev/null +++ b/widget/src/quantem/widget/detector.py @@ -0,0 +1,136 @@ +"""Detector utilities for 4D-STEM virtual imaging. + +Provides BF disk detection and BF/ADF/HAADF virtual image computation. +The detection algorithm matches Show4DSTEM.auto_detect_center (sum all +diffraction patterns, threshold at mean+std, centroid, radius from area). +""" + +from typing import Any + +import numpy as np + +from quantem.widget.array_utils import to_numpy + + +def detect_bf_disk(data: Any) -> tuple[float, float, float]: + """Detect BF disk center and radius from a 4D-STEM dataset. + + Uses the same algorithm as Show4DSTEM.auto_detect_center: + sum all diffraction patterns, threshold at mean+std, compute centroid, + estimate radius from disk area (A = pi * r^2). + + Parameters + ---------- + data : array-like + 4D array ``(scan_rows, scan_cols, det_rows, det_cols)`` or + 5D array ``(n_frames, scan_rows, scan_cols, det_rows, det_cols)``. + Accepts NumPy, PyTorch, or CuPy. + + Returns + ------- + center_row, center_col, bf_radius : float + Detected center position and estimated BF disk radius in pixels. + """ + arr = to_numpy(data) + det_rows, det_cols = arr.shape[-2], arr.shape[-1] + summed = arr.reshape(-1, det_rows, det_cols).sum(axis=0) + threshold = summed.mean() + summed.std() + disk = summed > threshold + total = disk.sum() + if total > 0: + row_coords = np.arange(det_rows, dtype=np.float64).reshape(-1, 1) + col_coords = np.arange(det_cols, dtype=np.float64).reshape(1, -1) + center_row = float((row_coords * disk).sum() / total) + center_col = float((col_coords * disk).sum() / total) + bf_radius = float(np.sqrt(total / np.pi)) + else: + center_row = det_rows / 2.0 + center_col = det_cols / 2.0 + bf_radius = det_rows / 6.0 + return center_row, center_col, bf_radius + + +def make_virtual_masks( + det_rows: int, + det_cols: int, + center_row: float, + center_col: float, + bf_radius: float, +) -> tuple[np.ndarray, np.ndarray, np.ndarray]: + """Create BF, ADF, HAADF annular masks for virtual imaging. + + - BF: r < bf_radius + - ADF: bf_radius <= r < 2 * bf_radius + - HAADF: r >= 2 * bf_radius + + Parameters + ---------- + det_rows, det_cols : int + Detector dimensions. + center_row, center_col : float + BF disk center in (row, col) coordinates. + bf_radius : float + Estimated BF disk radius. + + Returns + ------- + bf_mask, adf_mask, haadf_mask : np.ndarray + Float32 masks with shape ``(det_rows, det_cols)``. + """ + row_coords = np.arange(det_rows, dtype=np.float64).reshape(-1, 1) + col_coords = np.arange(det_cols, dtype=np.float64).reshape(1, -1) + rad = np.sqrt((row_coords - center_row) ** 2 + (col_coords - center_col) ** 2) + bf_mask = (rad < bf_radius).astype(np.float32) + adf_mask = ((rad >= bf_radius) & (rad < bf_radius * 2)).astype(np.float32) + haadf_mask = (rad >= bf_radius * 2).astype(np.float32) + return bf_mask, adf_mask, haadf_mask + + +def virtual_images( + data: Any, + center: tuple[float, float] | None = None, + bf_radius: float | None = None, +) -> tuple[np.ndarray, np.ndarray, np.ndarray]: + """Compute BF, ADF, HAADF virtual images from 4D/5D-STEM data. + + Auto-detects the BF disk center and radius if not provided. + + Parameters + ---------- + data : array-like + 4D ``(scan_r, scan_c, det_r, det_c)`` or + 5D ``(n_frames, scan_r, scan_c, det_r, det_c)``. + center : (row, col), optional + BF disk center. Auto-detected if None. + bf_radius : float, optional + BF disk radius. Auto-detected if None. + + Returns + ------- + bf, adf, haadf : np.ndarray + Virtual images. Same leading dimensions as input minus the + last two (detector) axes. + + Examples + -------- + >>> from quantem.widget import virtual_images + >>> bf, adf, haadf = virtual_images(data_4d) + >>> Show2D(bf, title="BF") + """ + arr = to_numpy(data, dtype=np.float32) + if center is None or bf_radius is None: + cr, cc, br = detect_bf_disk(arr) + if center is not None: + cr, cc = center + if bf_radius is not None: + br = bf_radius + else: + cr, cc = center + br = bf_radius + bf_mask, adf_mask, haadf_mask = make_virtual_masks( + arr.shape[-2], arr.shape[-1], cr, cc, br, + ) + bf = (arr * bf_mask).mean(axis=(-2, -1)) + adf = (arr * adf_mask).mean(axis=(-2, -1)) + haadf = (arr * haadf_mask).mean(axis=(-2, -1)) + return bf, adf, haadf diff --git a/widget/src/quantem/widget/showpdf.py b/widget/src/quantem/widget/showpdf.py new file mode 100644 index 000000000..7e837fa9d --- /dev/null +++ b/widget/src/quantem/widget/showpdf.py @@ -0,0 +1,1260 @@ +import base64 +import json +import pathlib +import time +from typing import Self + +import anywidget +import numpy as np +import traitlets + +from quantem.core.datastructures import Dataset2d, Dataset4dstem +from quantem.diffraction import PairDistributionFunction +from quantem.widget.array_utils import to_numpy +from quantem.widget.detector import virtual_images +from quantem.widget.state import ( + resolve_widget_version, + save_state_file, + unwrap_state_payload, +) + + +class ShowPDF(anywidget.AnyWidget): + """Interactive pair distribution function (PDF) analysis widget for 4D-STEM data. + + Wraps ``PairDistributionFunction`` from ``quantem.diffraction``. This widget provides: + - A real-space navigation image with masking function (left panel) + - Real-time 1D curve plots for I(k)+B(k), windowed F(k), and G(r) (right panel) + - Tunable PDF parameters (k-range, window, damping) with live feedback + """ + + _esm = pathlib.Path(__file__).parent / "static" / "showpdf.js" + + # ========================================================================= + # Version + # ========================================================================= + widget_version = traitlets.Unicode("unknown").tag(sync=True) + + # ========================================================================= + # Shape / data (read-only from JS) + # ========================================================================= + title = traitlets.Unicode("PDF").tag(sync=True) + scan_rows = traitlets.Int(1).tag(sync=True) + scan_cols = traitlets.Int(1).tag(sync=True) + nav_image_bytes = traitlets.Bytes(b"").tag(sync=True) + nav_data_min = traitlets.Float(0.0).tag(sync=True) + nav_data_max = traitlets.Float(1.0).tag(sync=True) + # Real-space scan calibration for the nav panel scalebar. Set from + # input_data.sampling[0] / units[0] when the dataset is loaded; defaults + # to "px" with size 1.0 when no calibration is present. + nav_pixel_size = traitlets.Float(1.0).tag(sync=True) + nav_unit = traitlets.Unicode("px").tag(sync=True) + + # ========================================================================= + # Mask (bidirectional — JS paints, Python reads) + # Convention: 1 = include, 0 = exclude (matches calculate_radial_mean) + # ========================================================================= + mask_bytes = traitlets.Bytes(b"").tag(sync=True) # Python→JS only + mask_b64 = traitlets.Unicode("").tag(sync=True) # JS→Python (base64-encoded mask) + mask_version = traitlets.Int(0).tag(sync=True) # JS increments to trigger recompute + mask_tool = traitlets.Unicode("rectangle").tag(sync=True) + mask_brush_size = traitlets.Int(5).tag(sync=True) + mask_pixel_count = traitlets.Int(0).tag(sync=True) + mask_fraction = traitlets.Float(0.0).tag(sync=True) + + # ========================================================================= + # Analysis mode: "mask" (existing painted mask) or "probe" (single moveable + # square region of side 2*probe_size-1 centered on the scan grid). + # In probe mode, mask_b64 is ignored and a synthetic mask is built from + # probe_row/probe_col/probe_size. + # ========================================================================= + analysis_mode = traitlets.Unicode("mask").tag(sync=True) + probe_row = traitlets.Int(0).tag(sync=True) + probe_col = traitlets.Int(0).tag(sync=True) + probe_size = traitlets.Int(1).tag(sync=True) + + # ========================================================================= + # Line mode: a straight selection band across the scan. The two endpoints + # (row0,col0)-(row1,col1) and line_width (band thickness in scan px) define + # a boolean mask of every scan position within line_width/2 of the segment. + # line_active is False until a line is drawn. line_mode selects "averaged" + # (one PDF from the whole band) or "linescan" (per-position PDFs — Phase 2). + # JS bumps line_version after editing endpoints to trigger a single recompute. + # ========================================================================= + line_row0 = traitlets.Float(0.0).tag(sync=True) + line_col0 = traitlets.Float(0.0).tag(sync=True) + line_row1 = traitlets.Float(0.0).tag(sync=True) + line_col1 = traitlets.Float(0.0).tag(sync=True) + line_width = traitlets.Int(3).tag(sync=True) + line_active = traitlets.Bool(False).tag(sync=True) + line_mode = traitlets.Unicode("averaged").tag(sync=True) + line_version = traitlets.Int(0).tag(sync=True) + # When True the drawn line is a reference (e.g. traced along a feature) and + # the band/line-scan is sampled along its perpendicular bisector instead — + # so the scan is perpendicular to the traced feature regardless of frame. + line_perpendicular = traitlets.Bool(False).tag(sync=True) + + # Line-scan output (line_mode="linescan"): a per-position PDF stack along + # the line. linescan_bytes is float32 (n_linescan × linescan_n_points), + # row-major by bin; linescan_axis_bytes is the shared r/k axis (the curve + # selected by plot_mode). Empty until a line is drawn in linescan mode. + linescan_bytes = traitlets.Bytes(b"").tag(sync=True) + n_linescan = traitlets.Int(0).tag(sync=True) + linescan_n_points = traitlets.Int(0).tag(sync=True) + linescan_axis_bytes = traitlets.Bytes(b"").tag(sync=True) + linescan_max_bins = traitlets.Int(256).tag(sync=True) + + # ========================================================================= + # 1D curve data (synced to JS, all updated on every recompute) + # ========================================================================= + # I(k) radial mean + background fit + ik_x_bytes = traitlets.Bytes(b"").tag(sync=True) + ik_y_bytes = traitlets.Bytes(b"").tag(sync=True) + ik_bg_y_bytes = traitlets.Bytes(b"").tag(sync=True) + n_points_ik = traitlets.Int(0).tag(sync=True) + # F(k) windowed (Lorch) + fk_x_bytes = traitlets.Bytes(b"").tag(sync=True) + fk_y_bytes = traitlets.Bytes(b"").tag(sync=True) + n_points_fk = traitlets.Int(0).tag(sync=True) + # G(r) reduced PDF + gr_x_bytes = traitlets.Bytes(b"").tag(sync=True) + gr_y_bytes = traitlets.Bytes(b"").tag(sync=True) + n_points_gr = traitlets.Int(0).tag(sync=True) + # g(r) pair distribution function + pdf_x_bytes = traitlets.Bytes(b"").tag(sync=True) + pdf_y_bytes = traitlets.Bytes(b"").tag(sync=True) + n_points_pdf = traitlets.Int(0).tag(sync=True) + + # ========================================================================= + # PDF parameters (user-tunable, trigger recompute) + # 0.0 sentinel means "auto" or "disabled" + # ========================================================================= + k_min_fit = traitlets.Float(0.0).tag(sync=True) + k_max_fit = traitlets.Float(0.0).tag(sync=True) + k_min_window = traitlets.Float(0.0).tag(sync=True) + k_max_window = traitlets.Float(0.0).tag(sync=True) + k_lowpass = traitlets.Float(0.0).tag(sync=True) + k_highpass = traitlets.Float(0.0).tag(sync=True) + r_min = traitlets.Float(0.0).tag(sync=True) + r_max = traitlets.Float(20.0).tag(sync=True) + r_step = traitlets.Float(0.02).tag(sync=True) + damp_origin_oscillations = traitlets.Bool(False).tag(sync=True) + r_cut = traitlets.Float(1.0).tag(sync=True) + + # Density for g(r) computation. mode: "estimated" (auto via estimate_density, + # shares r_cut with damping) or "manual" (user-supplied density_value). + density_mode = traitlets.Unicode("estimated").tag(sync=True) + density_value = traitlets.Float(0.05).tag(sync=True) + + # K-range metadata (read-only, set once from data, used for slider bounds) + k_min_available = traitlets.Float(0.0).tag(sync=True) + k_max_available = traitlets.Float(10.0).tag(sync=True) + + # ========================================================================= + # Display + # ========================================================================= + plot_mode = traitlets.Unicode("Gr").tag(sync=True) + show_background = traitlets.Bool(True).tag(sync=True) + cmap = traitlets.Unicode("gray").tag(sync=True) + log_scale = traitlets.Bool(False).tag(sync=True) + auto_contrast = traitlets.Bool(True).tag(sync=True) + show_stats = traitlets.Bool(True).tag(sync=True) + show_controls = traitlets.Bool(True).tag(sync=True) + + # Status + computing = traitlets.Bool(False).tag(sync=True) + status_message = traitlets.Unicode("").tag(sync=True) + + # ========================================================================= + # Constructor + # ========================================================================= + def __init__( + self, + data, + *, + nav_image=None, + title="", + # PDF parameters + k_min_fit=0.0, + k_max_fit=0.0, + k_min_window=0.0, + k_max_window=0.0, + k_lowpass=0.0, + k_highpass=0.0, + r_min=0.0, + r_max=20.0, + r_step=0.02, + damp_origin_oscillations=False, + r_cut=1.0, + # Density (for g(r)) + density_mode="estimated", + density_value=0.05, + # Analysis mode + probe geometry + analysis_mode="mask", + probe_row=None, + probe_col=None, + probe_size=1, + # Line geometry (analysis_mode="line") + line_row0=0.0, + line_col0=0.0, + line_row1=0.0, + line_col1=0.0, + line_width=3, + line_mode="averaged", + line_perpendicular=False, + line_max_bins=256, + # Display + plot_mode="Gr", + show_background=True, + cmap="gray", + log_scale=False, + auto_contrast=True, + show_stats=True, + show_controls=True, + # PDF construction params (only used when data is not already a PDF) + find_origin=True, + origin_row=None, + origin_col=None, + num_annular_bins=180, + radial_min=0.0, + radial_max=None, + radial_step=1.0, + two_fold_rotation_symmetry=False, + device=None, + # Real-space scale bar (overrides auto-detect from ds.sampling/units) + pixel_size=None, + # State + state=None, + **kwargs, + ): + super().__init__(**kwargs) + self._initializing = True + self.widget_version = resolve_widget_version() + _t0 = time.perf_counter() + + # --- Input dispatch --- + _extracted_title = "" + if isinstance(data, PairDistributionFunction): + self._pdf = data + else: + # Duck-type IOResult / Dataset + if hasattr(data, "title") and hasattr(data, "data"): + _extracted_title = data.title or "" + data = data.data + if hasattr(data, "array") and hasattr(data, "name"): + _extracted_title = _extracted_title or (data.name or "") + + # Wrap raw NumPy/Torch/CuPy arrays in a Dataset so PairDistributionFunction + # can consume them. Datasets (which carry .array) pass through unchanged. + if not hasattr(data, "array"): + arr = to_numpy(data) + if arr.ndim == 4: + data = Dataset4dstem.from_array(arr) + elif arr.ndim == 2: + data = Dataset2d.from_array(arr) + else: + raise ValueError( + f"ShowPDF expects 4D (4D-STEM) or 2D input; got {arr.ndim}D array." + ) + + # Resolve device. PairDistributionFunction uses float64 tensors + # internally, which MPS does not support and which AMD/embedded + # GPU drivers handle inconsistently. The compute is light (1D + # FFTs, radial mean, iterative density solver), so default to CPU + # for cross-platform reliability. Users can still pass + # device="cuda" explicitly if they have a confirmed-working GPU. + if device is None: + device_str = "cpu" + else: + device_str = device + + self._pdf = PairDistributionFunction.from_data( + data, + find_origin=find_origin, + origin_row=origin_row, + origin_col=origin_col, + num_annular_bins=num_annular_bins, + radial_min=radial_min, + radial_max=radial_max, + radial_step=radial_step, + two_fold_rotation_symmetry=two_fold_rotation_symmetry, + device=device_str, + ) + + # Clear any cached intermediates carried in from preprocessing or a + # serialized cache. calculate_Gr reuses a cached background/radial mean + # when no mask is passed, so stale caches would make the initial compute + # ignore this widget's k-fit/window settings. Clearing guarantees a fresh + # recompute with the widget's own parameters (a loaded rdf then behaves + # identically to a freshly constructed one). + for _attr in ("Ik", "bg", "f", "Sk", "Fk", "Fk_masked", "rho0", + "_reduced_pdf", "_r", "_pdf", "reduced_pdf_damped"): + if hasattr(self._pdf, _attr): + setattr(self._pdf, _attr, None) + + # --- Extract shape and k-range from polar data --- + polar_shape = self._pdf.polar.shape + self.scan_rows = int(polar_shape[0]) + self.scan_cols = int(polar_shape[1]) + + qq = np.asarray(self._pdf.qq, dtype=np.float32) + self.k_min_available = float(qq[0]) + self.k_max_available = float(qq[-1]) + + # --- Default k fit/window range to the full data range if not set --- + if k_min_fit == 0.0: + k_min_fit = float(qq[0]) + if k_max_fit == 0.0: + k_max_fit = float(qq[-1]) + if k_min_window == 0.0: + k_min_window = float(qq[0]) + if k_max_window == 0.0: + k_max_window = float(qq[-1]) + + # --- Set parameter traits --- + self.title = title or _extracted_title or "PDF" + self.k_min_fit = k_min_fit + self.k_max_fit = k_max_fit + self.k_min_window = k_min_window + self.k_max_window = k_max_window + self.k_lowpass = k_lowpass + self.k_highpass = k_highpass + self.r_min = r_min + self.r_max = r_max + self.r_step = r_step + self.damp_origin_oscillations = damp_origin_oscillations + self.r_cut = r_cut + self.density_mode = density_mode + self.density_value = float(density_value) + self.analysis_mode = analysis_mode + self.probe_row = int(probe_row) if probe_row is not None else self.scan_rows // 2 + self.probe_col = int(probe_col) if probe_col is not None else self.scan_cols // 2 + self.probe_size = int(probe_size) + self.line_row0 = float(line_row0) + self.line_col0 = float(line_col0) + self.line_row1 = float(line_row1) + self.line_col1 = float(line_col1) + self.line_width = int(line_width) + self.line_mode = line_mode + self.line_perpendicular = bool(line_perpendicular) + self.linescan_max_bins = int(line_max_bins) + # A line is "active" once its endpoints span a nonzero length. + self.line_active = (line_row0, line_col0) != (line_row1, line_col1) + + # --- Set display traits --- + self.plot_mode = plot_mode + self.show_background = show_background + self.cmap = cmap + self.log_scale = log_scale + self.auto_contrast = auto_contrast + self.show_stats = show_stats + self.show_controls = show_controls + + # --- Navigation image --- + if nav_image is not None: + nav_img = to_numpy(nav_image).astype(np.float32) + else: + nav_img = self._compute_nav_image() + self._nav_image = nav_img + self.nav_data_min = float(nav_img.min()) + self.nav_data_max = float(nav_img.max()) + self.nav_image_bytes = nav_img.tobytes() + self.nav_pixel_size, self.nav_unit = self._resolve_nav_calibration() + if pixel_size is not None: + self.nav_pixel_size = float(pixel_size) + self.nav_unit = "Å" + + # --- Register observers --- + self.observe(self._on_mask_change, names=["mask_version"]) + self.observe( + self._on_fit_params_change, + names=[ + "k_min_fit", + "k_max_fit", + "k_min_window", + "k_max_window", + "k_lowpass", + "k_highpass", + ], + ) + self.observe( + self._on_output_params_change, + names=[ + "r_min", + "r_max", + "r_step", + "damp_origin_oscillations", + "r_cut", + ], + ) + self.observe( + self._on_density_change, + names=["density_mode", "density_value"], + ) + self.observe( + self._on_probe_change, + names=["analysis_mode", "probe_row", "probe_col", "probe_size"], + ) + # Endpoints sync without observers; JS bumps line_version once per edit + # so a drag triggers a single recompute (not one per endpoint trait). + self.observe( + self._on_line_change, + names=["line_version", "line_width", "line_mode", "line_perpendicular"], + ) + # In line-scan mode the displayed curve drives which PDF the stack holds, + # so a plot_mode change must recompute the stack. + self.observe(self._on_plot_mode_change, names=["plot_mode"]) + + # --- Initial computation --- + self._initializing = False + self._update_mask_stats() + self._recompute_full() + + # Preserve any error message _recompute_full set instead of clobbering it. + _elapsed = time.perf_counter() - _t0 + if not self.status_message.startswith("Error"): + self.status_message = f"Ready ({_elapsed:.1f}s)" + + # --- Restore state --- + if state is not None: + if isinstance(state, (str, pathlib.Path)): + state = unwrap_state_payload( + json.loads(pathlib.Path(state).read_text()), + require_envelope=True, + ) + else: + state = unwrap_state_payload(state) + self.load_state_dict(state) + + # ========================================================================= + # Observers + # ========================================================================= + def _compute_nav_image(self) -> np.ndarray: + """Compute a BF virtual image for the nav panel. + + Uses the original 4D-STEM data if available (via input_data), + otherwise falls back to summing the polar data over angle and radius. + """ + input_data = getattr(self._pdf, "input_data", None) + if input_data is not None: + arr = getattr(input_data, "array", None) + if arr is not None and arr.ndim == 4: + bf, _, _ = virtual_images(arr) + return bf.astype(np.float32) + # Fallback: sum polar data over phi and r + return self._pdf.polar.numpy().sum(axis=(-2, -1)).astype(np.float32) + + def _resolve_nav_calibration(self) -> tuple[float, str]: + """Resolve real-space scan calibration from the input dataset. + + Returns (pixel_size, unit) where unit is "Å" if the dataset's first + axis is in Å/A/angstrom/nm (with nm→Å conversion), else "px". + """ + input_data = getattr(self._pdf, "input_data", None) + sampling = getattr(input_data, "sampling", None) + units = getattr(input_data, "units", None) + if sampling is None or units is None or len(units) == 0: + return 1.0, "px" + unit0 = str(units[0]).lower() + size0 = float(sampling[0]) + if unit0 in ("å", "a", "angstrom", "angstroms"): + return size0, "Å" + if unit0 == "nm": + return size0 * 10.0, "Å" + return 1.0, "px" + + def _on_mask_change(self, change=None): + if self._initializing: + return + self._pdf.Ik = None + self._pdf.bg = None + self._update_mask_stats() + self._recompute_full() + + def _on_fit_params_change(self, change=None): + if self._initializing: + return + self._pdf.bg = None + self._recompute_full() + + def _on_output_params_change(self, change=None): + if self._initializing: + return + self._pdf.bg = None + self._recompute_full() + + def _on_density_change(self, change=None): + if self._initializing: + return + # In manual mode the user-supplied value is used directly; in estimated + # mode we invalidate the cached rho0 so estimate_density runs again + # against the current G(r). + if self.density_mode == "estimated": + self._pdf.rho0 = None + self._compute_gr() + + def _on_probe_change(self, change=None): + if self._initializing: + return + # Probe defines a synthetic mask; treat as a mask change and recompute. + self._pdf.Ik = None + self._pdf.bg = None + self._update_mask_stats() + self._recompute_full() + + def _on_line_change(self, change=None): + if self._initializing: + return + # The line defines a synthetic band mask; treat as a mask change. + self._pdf.Ik = None + self._pdf.bg = None + self._update_mask_stats() + self._recompute_full() + + def _on_plot_mode_change(self, change=None): + if self._initializing: + return + # Only line-scan mode depends on plot_mode for its compute; the 1D + # paths just re-draw the already-synced curves on the JS side. + if self.analysis_mode == "line" and self.line_mode == "linescan": + self._compute_linescan() + + # ========================================================================= + # Core computation + # ========================================================================= + def _effective_line(self): + """Endpoints actually sampled: the perpendicular bisector of the drawn + line when line_perpendicular is set, else the drawn line itself. + + The bisector keeps the drawn line's length and is centered on its + midpoint, rotated 90° — so tracing along a feature samples across it. + """ + r0, c0 = self.line_row0, self.line_col0 + r1, c1 = self.line_row1, self.line_col1 + if not self.line_perpendicular: + return r0, c0, r1, c1 + dr, dc = r1 - r0, c1 - c0 + length = float(np.hypot(dr, dc)) + if length == 0: + return r0, c0, r1, c1 + mr, mc = (r0 + r1) / 2.0, (c0 + c1) / 2.0 + pr, pc = -dc / length, dr / length # unit vector ⟂ to the drawn line + half = length / 2.0 + return mr - pr * half, mc - pc * half, mr + pr * half, mc + pc * half + + def _line_band_mask(self): + """Boolean mask of scan positions within line_width/2 of the line segment. + + Returns None when no line is active or the segment has zero length. + """ + if not self.line_active: + return None + r0, c0, r1, c1 = self._effective_line() + dr, dc = r1 - r0, c1 - c0 + seg_len_sq = dr * dr + dc * dc + if seg_len_sq <= 0: + return None + length = np.sqrt(seg_len_sq) + rows = np.arange(self.scan_rows, dtype=np.float64)[:, None] + cols = np.arange(self.scan_cols, dtype=np.float64)[None, :] + pr = rows - r0 + pc = cols - c0 + # Position along the line (0 = start, 1 = end) and perpendicular distance + # to the *infinite* line. Requiring t in [0, 1] gives flat ends (no + # caps); the perpendicular test gives a constant width → a rectangle. + t = (pr * dr + pc * dc) / seg_len_sq + perp = np.abs(pr * dc - pc * dr) / length + half_w = max(0.5, self.line_width / 2.0) + mask = (t >= 0.0) & (t <= 1.0) & (perp <= half_w) + if not mask.any(): + return None + return mask + + def _get_mask(self): + # Line mode: synthesize a band mask along the drawn segment. + if self.analysis_mode == "line": + return self._line_band_mask() + # Probe mode: synthesize a square mask centered at (probe_row, probe_col) + # with side 2*probe_size-1 (matching the freeform brush sizing convention). + if self.analysis_mode == "probe": + half = max(0, int(self.probe_size) - 1) + r0 = max(0, int(self.probe_row) - half) + r1 = min(self.scan_rows, int(self.probe_row) + half + 1) + c0 = max(0, int(self.probe_col) - half) + c1 = min(self.scan_cols, int(self.probe_col) + half + 1) + if r1 <= r0 or c1 <= c0: + return None + mask = np.zeros((self.scan_rows, self.scan_cols), dtype=bool) + mask[r0:r1, c0:c1] = True + return mask + # Mask mode: decode painted mask + if not self.mask_b64: + return None + raw = base64.b64decode(self.mask_b64) + mask = np.frombuffer(raw, dtype=np.uint8).reshape( + self.scan_rows, self.scan_cols + ) + # All-ones mask is equivalent to no mask + if mask.all(): + return None + bool_mask = mask > 0 + if not bool_mask.any(): + return None + return bool_mask + + def _update_mask_stats(self): + mask = self._get_mask() + total = self.scan_rows * self.scan_cols + if mask is not None: + count = int(mask.sum()) + self.mask_pixel_count = count + self.mask_fraction = count / total + elif self.analysis_mode in ("probe", "line"): + # Probe out of bounds / no line drawn — nothing selected + self.mask_pixel_count = 0 + self.mask_fraction = 0.0 + elif not self.mask_b64: + self.mask_pixel_count = total + self.mask_fraction = 1.0 + else: + raw = base64.b64decode(self.mask_b64) + count = int(np.frombuffer(raw, dtype=np.uint8).sum()) + self.mask_pixel_count = count if count > 0 else total + self.mask_fraction = (count / total) if count > 0 else 1.0 + + def _curve_params(self): + """k-range sentinels (0.0 → None) shared by every calculate_Gr call.""" + return dict( + k_min_fit=self.k_min_fit if self.k_min_fit > 0 else None, + k_max_fit=self.k_max_fit if self.k_max_fit > 0 else None, + k_min_window=self.k_min_window if self.k_min_window > 0 else None, + k_max_window=self.k_max_window if self.k_max_window > 0 else None, + k_lowpass=self.k_lowpass if self.k_lowpass > 0 else None, + k_highpass=self.k_highpass if self.k_highpass > 0 else None, + r_min=self.r_min, + r_max=self.r_max, + r_step=self.r_step, + damp_origin_oscillations=self.damp_origin_oscillations, + r_cut=self.r_cut, + ) + + def _compute_curve_for_mask(self, mask): + """Compute the curve selected by plot_mode for one real-space mask. + + Returns (y, x) float32 arrays, or (None, None) if unavailable. + """ + self._pdf.Ik = None + self._pdf.bg = None + self._pdf.calculate_Gr(mask_realspace=mask, **self._curve_params()) + return self._extract_plot_curve() + + def _extract_plot_curve(self): + """Extract (y, x) for the current plot_mode from the already-computed + PDF state (Ik / Fk_masked / reduced_pdf). Returns (None, None) if the + needed quantity has not been computed.""" + mode = self.plot_mode + if mode == "Ik": + x = np.asarray(self._pdf.qq, dtype=np.float32) + y = to_numpy(self._pdf.Ik).astype(np.float32) + elif mode == "Fk": + if self._pdf.Fk_masked is None: + return None, None + qq = np.asarray(self._pdf.qq, dtype=np.float32) + y = to_numpy(self._pdf.Fk_masked).astype(np.float32) + x = qq[: len(y)] + elif mode == "gr": + if self._pdf._reduced_pdf is None or self._pdf._r is None: + return None, None + density = float(self.density_value) if self.density_mode == "manual" else None + self._pdf.calculate_gr(density=density, r_cut=self.r_cut) + x = to_numpy(self._pdf._r).astype(np.float32) + y = to_numpy(self._pdf._pdf).astype(np.float32) + else: # "Gr" + if self._pdf._r is None or self._pdf._reduced_pdf is None: + return None, None + Gr = ( + self._pdf.reduced_pdf_damped + if self._pdf.reduced_pdf_damped is not None + else self._pdf._reduced_pdf + ) + x = to_numpy(self._pdf._r).astype(np.float32) + y = to_numpy(Gr).astype(np.float32) + return y, x + + def _clear_linescan(self): + self.n_linescan = 0 + self.linescan_n_points = 0 + self.linescan_bytes = b"" + self.linescan_axis_bytes = b"" + + def _linescan_bin_radial_means(self, band, bin_idx, n_bins): + """All bins' radial means I(k) in a single pass over the polar data. + + Returns (Ik_all, valid_bins): Ik_all is an (n_valid, Nk) torch tensor on + the PDF device, valid_bins the matching non-empty bin indices. This is + equivalent to calling calculate_radial_mean once per bin mask, but reads + the 4D polar array only once (chunked) instead of n_bins times. + """ + import torch + + polar = self._pdf.polar.numpy() # (Sr, Sc, phi, Nk) + scan_row, scan_col, _n_phi, n_k = polar.shape + device = self._pdf.device + # Per-position bin label, -1 outside the band. + labels = np.where(band, bin_idx, -1).astype(np.int64) + sums = torch.zeros(n_bins, n_k, dtype=torch.float64, device=device) + counts = torch.zeros(n_bins, dtype=torch.float64, device=device) + chunk = 16 + for row0 in range(0, scan_row, chunk): + row1 = min(row0 + chunk, scan_row) + arr = torch.as_tensor( + np.ascontiguousarray(polar[row0:row1]), device=device + ) + # mean over phi, flatten scan positions, accumulate into bins. + rad = arr.mean(dim=2).reshape(-1, n_k).double() + lbl = torch.as_tensor(labels[row0:row1].reshape(-1), device=device) + valid = lbl >= 0 + if bool(valid.any()): + v = lbl[valid] + sums.index_add_(0, v, rad[valid]) + counts.index_add_( + 0, v, torch.ones(int(valid.sum()), dtype=torch.float64, device=device) + ) + nonempty = counts > 0 + valid_bins = torch.nonzero(nonempty, as_tuple=False).flatten().tolist() + Ik_all = sums[nonempty] / counts[nonempty][:, None] + return Ik_all, valid_bins + + def _compute_linescan(self): + """Compute a per-position PDF stack along the drawn line. + + The band is split into n_linescan bins along the line direction; each + bin averages the scan positions whose projection falls in that bin and + whose perpendicular distance is within line_width/2. All bins' radial + means are computed in one pass and all backgrounds are fit at once + (batched LM); only the cheap F(k) -> windowing -> sine transform runs + per bin. The curve selected by plot_mode is stacked into linescan_bytes + (n_bins × n_points). + """ + self.computing = True + self.status_message = "Computing line-scan..." + try: + band = self._line_band_mask() + if band is None: + self._clear_linescan() + self.status_message = "" + return + r0, c0, r1, c1 = self._effective_line() + dr, dc = r1 - r0, c1 - c0 + seg_len_sq = dr * dr + dc * dc + length = float(np.sqrt(seg_len_sq)) + n_bins = max(1, min(int(self.linescan_max_bins), int(round(length)) + 1)) + + rows = np.arange(self.scan_rows, dtype=np.float64)[:, None] + cols = np.arange(self.scan_cols, dtype=np.float64)[None, :] + t = np.clip(((rows - r0) * dr + (cols - c0) * dc) / seg_len_sq, 0.0, 1.0) + bin_idx = np.minimum((t * n_bins).astype(int), n_bins - 1) + + # One pass for every bin's I(k), then fit all backgrounds at once. + Ik_all, valid_bins = self._linescan_bin_radial_means(band, bin_idx, n_bins) + if not valid_bins: + self._clear_linescan() + self.status_message = "" + return + params = self._curve_params() + bg_all, f_all = self._pdf.fit_bg_batched( + Ik_all, kmin=params["k_min_fit"], kmax=params["k_max_fit"] + ) + + # Per-bin downstream reuses the precomputed I(k)/bg/f (mask=None), so + # calculate_Gr skips the radial mean and the background refit and only + # does F(k) -> windowing -> sine transform. + stack = None + axis = None + for j, bin_i in enumerate(valid_bins): + self._pdf.Ik = Ik_all[j] + self._pdf.bg = bg_all[j] + self._pdf.f = f_all[j] + self._pdf.calculate_Gr(mask_realspace=None, **params) + y, x = self._extract_plot_curve() + if y is None: + continue + if stack is None: + axis = x + stack = np.full((n_bins, len(y)), np.nan, dtype=np.float32) + n = min(len(y), stack.shape[1]) + stack[bin_i, :n] = y[:n] + + if stack is None: + self._clear_linescan() + self.status_message = "" + return + self.n_linescan = int(n_bins) + self.linescan_n_points = int(stack.shape[1]) + self.linescan_bytes = stack.tobytes() + self.linescan_axis_bytes = np.asarray(axis, dtype=np.float32).tobytes() + self.status_message = "" + except Exception as e: + self.status_message = f"Line-scan error: {e}" + self._clear_linescan() + finally: + self.computing = False + + def _recompute_full(self): + # Line-scan: compute a per-position PDF stack instead of one curve set. + if self.analysis_mode == "line" and self.line_mode == "linescan": + self._compute_linescan() + return + self.computing = True + self.status_message = "Computing..." + try: + mask = self._get_mask() + + # Convert 0.0 sentinels to None for the PDF API + k_min_fit = self.k_min_fit if self.k_min_fit > 0 else None + k_max_fit = self.k_max_fit if self.k_max_fit > 0 else None + k_min_window = self.k_min_window if self.k_min_window > 0 else None + k_max_window = self.k_max_window if self.k_max_window > 0 else None + k_lowpass = self.k_lowpass if self.k_lowpass > 0 else None + k_highpass = self.k_highpass if self.k_highpass > 0 else None + + self._pdf.calculate_Gr( + k_min_fit=k_min_fit, + k_max_fit=k_max_fit, + k_min_window=k_min_window, + k_max_window=k_max_window, + k_lowpass=k_lowpass, + k_highpass=k_highpass, + r_min=self.r_min, + r_max=self.r_max, + r_step=self.r_step, + mask_realspace=mask, + damp_origin_oscillations=self.damp_origin_oscillations, + r_cut=self.r_cut, + ) + self._sync_curves_to_js() + self._compute_gr() + self.status_message = "" + except Exception as e: + self.status_message = f"Error: {e}" + finally: + self.computing = False + + def _compute_gr(self): + """Compute g(r) via PairDistributionFunction.calculate_gr and sync to JS. + + Density choice follows ``self.density_mode``: + - "manual": pass ``self.density_value`` to calculate_gr. + - "estimated": density=None → calculate_gr uses cached rho0 or runs + estimate_density (with the shared ``r_cut``). Result is written back + to ``self.density_value`` so the JS readout reflects the estimate. + """ + if self._pdf._reduced_pdf is None or self._pdf._r is None: + self.n_points_pdf = 0 + self.pdf_x_bytes = b"" + self.pdf_y_bytes = b"" + return + try: + if self.density_mode == "manual": + self._pdf.calculate_gr( + density=float(self.density_value), + r_cut=self.r_cut, + ) + else: + self._pdf.calculate_gr(density=None, r_cut=self.r_cut) + if self._pdf.rho0 is not None: + rho_est = float(self._pdf.rho0) + if rho_est != self.density_value: + # Update the displayed value without re-triggering the + # density observer. + self._initializing = True + self.density_value = rho_est + self._initializing = False + except Exception as e: + self.status_message = f"g(r) error: {e}" + self.n_points_pdf = 0 + self.pdf_x_bytes = b"" + self.pdf_y_bytes = b"" + return + + r = to_numpy(self._pdf._r).astype(np.float32) + gr_arr = to_numpy(self._pdf._pdf).astype(np.float32) + self.n_points_pdf = len(r) + self.pdf_x_bytes = r.tobytes() + self.pdf_y_bytes = gr_arr.tobytes() + + def _sync_curves_to_js(self): + qq = np.asarray(self._pdf.qq, dtype=np.float32) + self.n_points_ik = len(qq) + self.ik_x_bytes = qq.tobytes() + self.ik_y_bytes = ( + to_numpy(self._pdf.Ik).astype(np.float32).tobytes() + ) + + # Background fit B(k) + if self._pdf.bg is not None: + self.ik_bg_y_bytes = ( + to_numpy(self._pdf.bg).astype(np.float32).tobytes() + ) + else: + self.ik_bg_y_bytes = b"" + + # F(k) windowed (Lorch window applied) + if self._pdf.Fk_masked is not None: + fk = to_numpy(self._pdf.Fk_masked).astype(np.float32) + self.n_points_fk = len(fk) + self.fk_x_bytes = qq[: len(fk)].tobytes() + self.fk_y_bytes = fk.tobytes() + else: + self.n_points_fk = 0 + self.fk_x_bytes = b"" + self.fk_y_bytes = b"" + + # G(r) + if self._pdf._r is not None and self._pdf._reduced_pdf is not None: + Gr = ( + self._pdf.reduced_pdf_damped + if self._pdf.reduced_pdf_damped is not None + else self._pdf._reduced_pdf + ) + r = to_numpy(self._pdf._r).astype(np.float32) + gr = to_numpy(Gr).astype(np.float32) + self.n_points_gr = len(r) + self.gr_x_bytes = r.tobytes() + self.gr_y_bytes = gr.tobytes() + else: + self.n_points_gr = 0 + self.gr_x_bytes = b"" + self.gr_y_bytes = b"" + + # ========================================================================= + # Public API + # ========================================================================= + @property + def pdf(self) -> PairDistributionFunction: + return self._pdf + + @property + def mask(self) -> np.ndarray: + m = self._get_mask() + if m is None: + return np.ones((self.scan_rows, self.scan_cols), dtype=bool) + return m + + def set_mask(self, mask) -> Self: + mask_np = to_numpy(mask).astype(bool) + if mask_np.shape != (self.scan_rows, self.scan_cols): + raise ValueError( + f"Mask shape {mask_np.shape} does not match scan shape " + f"({self.scan_rows}, {self.scan_cols})" + ) + raw = mask_np.astype(np.uint8).tobytes() + self.mask_bytes = raw + # Mirror to mask_b64 so _get_mask() (analysis read path) sees it. + self.mask_b64 = base64.b64encode(raw).decode("ascii") + self._on_mask_change() + return self + + def clear_mask(self) -> Self: + self.mask_bytes = b"" + self.mask_b64 = "" + self._on_mask_change() + return self + + def set_line( + self, + row0: float, + col0: float, + row1: float, + col1: float, + width: int | None = None, + ) -> Self: + """Set the line-band selection and switch to line mode. + + Endpoints are in scan (row, col) coordinates. ``width`` is the band + thickness in scan pixels; when omitted the current ``line_width`` is kept. + """ + self._initializing = True + self.line_row0 = float(row0) + self.line_col0 = float(col0) + self.line_row1 = float(row1) + self.line_col1 = float(col1) + if width is not None: + self.line_width = int(width) + self.line_active = True + self.analysis_mode = "line" + self._initializing = False + self._on_line_change() + return self + + def clear_line(self) -> Self: + self._initializing = True + self.line_active = False + self.line_row0 = self.line_col0 = self.line_row1 = self.line_col1 = 0.0 + self._initializing = False + self._on_line_change() + return self + + def set_data(self, data, *, nav_image=None, find_origin=True, **pdf_kwargs) -> Self: + if isinstance(data, PairDistributionFunction): + self._pdf = data + else: + if hasattr(data, "data") and hasattr(data, "title"): + data = data.data + if not hasattr(data, "array"): + arr = to_numpy(data) + if arr.ndim == 4: + data = Dataset4dstem.from_array(arr) + elif arr.ndim == 2: + data = Dataset2d.from_array(arr) + else: + raise ValueError( + f"ShowPDF expects 4D (4D-STEM) or 2D input; got {arr.ndim}D array." + ) + self._pdf = PairDistributionFunction.from_data( + data, find_origin=find_origin, **pdf_kwargs + ) + + polar_shape = self._pdf.polar.shape + self.scan_rows = int(polar_shape[0]) + self.scan_cols = int(polar_shape[1]) + + qq = np.asarray(self._pdf.qq, dtype=np.float32) + self.k_min_available = float(qq[0]) + self.k_max_available = float(qq[-1]) + + # Nav image + if nav_image is not None: + nav_img = to_numpy(nav_image).astype(np.float32) + else: + nav_img = self._compute_nav_image() + self._nav_image = nav_img + self.nav_data_min = float(nav_img.min()) + self.nav_data_max = float(nav_img.max()) + self.nav_image_bytes = nav_img.tobytes() + self.nav_pixel_size, self.nav_unit = self._resolve_nav_calibration() + + # Reset mask and recompute + self.mask_bytes = b"" + self._update_mask_stats() + self._pdf.Ik = None + self._pdf.bg = None + self._recompute_full() + return self + + def save_image( + self, + path: str | pathlib.Path, + *, + plot_mode: str | None = None, + format: str | None = None, + dpi: int = 150, + ) -> pathlib.Path: + """Save the current PDF curve as PNG, PDF, or TIFF. + + Parameters + ---------- + path : str or pathlib.Path + Output file path. + plot_mode : {"Ik", "Fk", "Gr", "gr"}, optional + Curve to render. Defaults to the widget's current ``plot_mode``. + format : {"png", "pdf", "tiff"}, optional + Inferred from the file extension when omitted. + dpi : int, default 150 + Output resolution. + + Returns + ------- + pathlib.Path + The written file path. + """ + import matplotlib + matplotlib.use("Agg") + import matplotlib.pyplot as plt + + path = pathlib.Path(path) + fmt = (format or path.suffix.lstrip(".").lower() or "png").lower() + if fmt in ("tif",): + fmt = "tiff" + if fmt not in ("png", "pdf", "tiff"): + raise ValueError(f"Unsupported format: {fmt!r}. Use 'png', 'pdf', or 'tiff'.") + + mode = plot_mode if plot_mode is not None else self.plot_mode + if mode not in ("Ik", "Fk", "Gr", "gr"): + raise ValueError(f"Unknown plot_mode: {mode!r}. Use 'Ik', 'Fk', 'Gr', or 'gr'.") + + bg = None + if mode == "Ik": + if self._pdf.Ik is None: + raise ValueError("I(k) is not computed yet — set a mask or call _recompute_full().") + x = np.asarray(self._pdf.qq, dtype=np.float32) + y = to_numpy(self._pdf.Ik).astype(np.float32) + if self._pdf.bg is not None and self.show_background: + bg = to_numpy(self._pdf.bg).astype(np.float32) + xlabel, ylabel = "k (1/Å)", "I(k)" + elif mode == "Fk": + if self._pdf.Fk_masked is None: + raise ValueError("F(k) is not computed yet.") + qq = np.asarray(self._pdf.qq, dtype=np.float32) + fk = to_numpy(self._pdf.Fk_masked).astype(np.float32) + x = qq[: len(fk)] + y = fk + xlabel, ylabel = "k (1/Å)", "F(k)" + elif mode == "Gr": + if self._pdf._r is None or self._pdf._reduced_pdf is None: + raise ValueError("G(r) is not computed yet.") + Gr = ( + self._pdf.reduced_pdf_damped + if self._pdf.reduced_pdf_damped is not None + else self._pdf._reduced_pdf + ) + x = to_numpy(self._pdf._r).astype(np.float32) + y = to_numpy(Gr).astype(np.float32) + xlabel, ylabel = "r (Å)", "G(r)" + else: # "gr" + if not self.pdf_x_bytes or not self.pdf_y_bytes: + raise ValueError("g(r) is not computed yet.") + x = np.frombuffer(self.pdf_x_bytes, dtype=np.float32) + y = np.frombuffer(self.pdf_y_bytes, dtype=np.float32) + xlabel, ylabel = "r (Å)", "g(r)" + + fig, ax = plt.subplots(figsize=(6, 3.5), dpi=dpi) + ax.plot(x, y, color="steelblue", linewidth=1.0, label=ylabel) + if bg is not None: + ax.plot(x, bg, color="orange", linewidth=1.0, linestyle="--", label="B(k)") + ax.legend(fontsize=8, framealpha=0.8) + ax.set_xlabel(xlabel) + ax.set_ylabel(ylabel) + if self.title: + ax.set_title(self.title, fontsize=11) + ax.grid(True, alpha=0.3, linestyle="--") + fig.tight_layout() + + path.parent.mkdir(parents=True, exist_ok=True) + fig.savefig(str(path), format=fmt, dpi=dpi, bbox_inches="tight") + plt.close(fig) + return path + + # ========================================================================= + # State persistence + # ========================================================================= + def state_dict(self) -> dict: + return { + "title": self.title, + "k_min_fit": self.k_min_fit, + "k_max_fit": self.k_max_fit, + "k_min_window": self.k_min_window, + "k_max_window": self.k_max_window, + "k_lowpass": self.k_lowpass, + "k_highpass": self.k_highpass, + "r_min": self.r_min, + "r_max": self.r_max, + "r_step": self.r_step, + "damp_origin_oscillations": self.damp_origin_oscillations, + "r_cut": self.r_cut, + "density_mode": self.density_mode, + "density_value": self.density_value, + "analysis_mode": self.analysis_mode, + "probe_row": self.probe_row, + "probe_col": self.probe_col, + "probe_size": self.probe_size, + "line_row0": self.line_row0, + "line_col0": self.line_col0, + "line_row1": self.line_row1, + "line_col1": self.line_col1, + "line_width": self.line_width, + "line_active": self.line_active, + "line_mode": self.line_mode, + "line_perpendicular": self.line_perpendicular, + "linescan_max_bins": self.linescan_max_bins, + # Painted mask at save time (base64 uint8, scan_rows*scan_cols). + # Empty string means "no mask / full scan". + "mask_b64": self.mask_b64, + "plot_mode": self.plot_mode, + "show_background": self.show_background, + "cmap": self.cmap, + "log_scale": self.log_scale, + "auto_contrast": self.auto_contrast, + "show_stats": self.show_stats, + "show_controls": self.show_controls, + } + + def save(self, path: str) -> None: + save_state_file(path, "ShowPDF", self.state_dict()) + + def load_state_dict(self, state: dict) -> None: + self._initializing = True + allowed_keys = set(self.state_dict().keys()) + for key, val in state.items(): + if key in allowed_keys and hasattr(self, key): + setattr(self, key, val) + # Restore the painted mask to the frontend canvas. mask_b64 is the + # JS→Python read path; mask_bytes is the Python→JS path the canvas + # reads on mount, so both must be set for the mask to repaint and to + # feed _get_mask(). Drop a saved mask whose size no longer matches the + # current scan shape (e.g. restoring onto a different dataset). + if self.mask_b64: + try: + raw = base64.b64decode(self.mask_b64) + except Exception: + raw = b"" + if len(raw) == self.scan_rows * self.scan_cols: + self.mask_bytes = raw + else: + self.mask_b64 = "" + self.mask_bytes = b"" + self._initializing = False + # Recompute with all restored parameters + self._update_mask_stats() + self._pdf.Ik = None + self._pdf.bg = None + self._recompute_full() + + def summary(self) -> None: + name = self.title or "ShowPDF" + lines = [name, "═" * 32] + lines.append(f"Scan: {self.scan_rows} × {self.scan_cols}") + lines.append( + f"k range: [{self.k_min_available:.2f}, {self.k_max_available:.2f}] Å⁻¹" + ) + lines.append(f"Fit: k=[{self.k_min_fit:.2f}, {self.k_max_fit:.2f}]") + lines.append( + f"Output: r=[{self.r_min:.2f}, {self.r_max:.2f}], step={self.r_step}" + ) + lines.append(f"Plot: {self.plot_mode}") + if self.analysis_mode == "line": + if self.line_active: + length = float( + np.hypot( + self.line_row1 - self.line_row0, + self.line_col1 - self.line_col0, + ) + ) + lines.append( + f"Line: ({self.line_row0:.1f}, {self.line_col0:.1f}) → " + f"({self.line_row1:.1f}, {self.line_col1:.1f})" + ) + lines.append( + f" len={length:.1f} px, width={self.line_width} px, " + f"{self.mask_pixel_count} px ({self.mask_fraction * 100:.1f}%)" + ) + else: + lines.append("Line: none drawn") + elif self.mask_bytes: + lines.append( + f"Mask: {self.mask_pixel_count} px ({self.mask_fraction * 100:.1f}%)" + ) + else: + lines.append("Mask: full scan (no mask)") + if self.damp_origin_oscillations: + lines.append(f"Damping: ON (r_cut={self.r_cut})") + print("\n".join(lines)) + + def __repr__(self) -> str: + mask_info = ( + f", mask={self.mask_pixel_count}px" if self.mask_bytes else "" + ) + return ( + f"ShowPDF(scan=({self.scan_rows}, {self.scan_cols}), " + f"k=[{self.k_min_fit:.1f}, {self.k_max_fit:.1f}]{mask_info})" + ) From ae9d7a3a68d87d81084898d50ed761e70228d285 Mon Sep 17 00:00:00 2001 From: Ehrdt Ehrhardt Date: Thu, 11 Jun 2026 12:41:21 -0700 Subject: [PATCH 05/45] add file save from widget --- widget/src/quantem/widget/showpdf.py | 627 +++++++++++++++++++++++++++ 1 file changed, 627 insertions(+) diff --git a/widget/src/quantem/widget/showpdf.py b/widget/src/quantem/widget/showpdf.py index 7e837fa9d..7e74703a5 100644 --- a/widget/src/quantem/widget/showpdf.py +++ b/widget/src/quantem/widget/showpdf.py @@ -800,6 +800,124 @@ def _compute_linescan(self): finally: self.computing = False + def _compute_linescan_all_modes(self): + """Per-bin curves for all four plot modes plus the fitted background. + + Mirrors ``_compute_linescan`` but, for each bin, captures + (I(k), B(k), F(k), G(r), g(r)) instead of just the active plot_mode. + Used by ``save_results`` to export the full line scan. Does NOT update + any trait-synced bytes — the live widget keeps its single-mode stack. + + Returns ``None`` if no line is drawn or no bin has valid data; else a + dict with the per-bin stacks and shared axes. + """ + import torch + + band = self._line_band_mask() + if band is None: + return None + r0, c0, r1, c1 = self._effective_line() + dr, dc = r1 - r0, c1 - c0 + seg_len_sq = dr * dr + dc * dc + length = float(np.sqrt(seg_len_sq)) + n_bins = max(1, min(int(self.linescan_max_bins), int(round(length)) + 1)) + + rows = np.arange(self.scan_rows, dtype=np.float64)[:, None] + cols = np.arange(self.scan_cols, dtype=np.float64)[None, :] + t = np.clip(((rows - r0) * dr + (cols - c0) * dc) / seg_len_sq, 0.0, 1.0) + bin_idx = np.minimum((t * n_bins).astype(int), n_bins - 1) + + Ik_all, valid_bins = self._linescan_bin_radial_means(band, bin_idx, n_bins) + if not valid_bins: + return None + params = self._curve_params() + bg_all, f_all = self._pdf.fit_bg_batched( + Ik_all, kmin=params["k_min_fit"], kmax=params["k_max_fit"] + ) + + k_axis = np.asarray(self._pdf.qq, dtype=np.float32) + n_k = int(k_axis.size) + Ik_stack = np.full((n_bins, n_k), np.nan, dtype=np.float32) + bg_stack = np.full((n_bins, n_k), np.nan, dtype=np.float32) + Fk_stack = None # allocated once we know n_k_fk + Gr_stack = None # allocated once we know n_r + gr_stack = None # allocated only if any bin produces a g(r) + r_axis = None + k_fk_axis = None + density_mode = self.density_mode + try_gr = density_mode in ("manual", "estimated") + + for j, bin_i in enumerate(valid_bins): + self._pdf.Ik = Ik_all[j] + self._pdf.bg = bg_all[j] + self._pdf.f = f_all[j] + self._pdf.calculate_Gr(mask_realspace=None, **params) + + Ik_stack[bin_i] = to_numpy(Ik_all[j]).astype(np.float32) + bg_stack[bin_i] = to_numpy(bg_all[j]).astype(np.float32) + + if self._pdf.Fk_masked is not None: + fk_j = to_numpy(self._pdf.Fk_masked).astype(np.float32) + if Fk_stack is None: + n_k_fk = int(fk_j.size) + k_fk_axis = k_axis[:n_k_fk] + Fk_stack = np.full((n_bins, n_k_fk), np.nan, dtype=np.float32) + m = min(int(fk_j.size), Fk_stack.shape[1]) + Fk_stack[bin_i, :m] = fk_j[:m] + + if self._pdf._r is not None and self._pdf._reduced_pdf is not None: + Gr_j = ( + self._pdf.reduced_pdf_damped + if self._pdf.reduced_pdf_damped is not None + else self._pdf._reduced_pdf + ) + Gr_j = to_numpy(Gr_j).astype(np.float32) + if Gr_stack is None: + r_axis = to_numpy(self._pdf._r).astype(np.float32) + Gr_stack = np.full((n_bins, int(r_axis.size)), np.nan, dtype=np.float32) + m = min(int(Gr_j.size), Gr_stack.shape[1]) + Gr_stack[bin_i, :m] = Gr_j[:m] + + if try_gr: + try: + density = ( + float(self.density_value) + if density_mode == "manual" + else None + ) + self._pdf.calculate_gr(density=density, r_cut=self.r_cut) + if self._pdf._pdf is not None: + gr_j = to_numpy(self._pdf._pdf).astype(np.float32) + if gr_stack is None: + gr_stack = np.full( + (n_bins, Gr_stack.shape[1]), np.nan, dtype=np.float32 + ) + m = min(int(gr_j.size), gr_stack.shape[1]) + gr_stack[bin_i, :m] = gr_j[:m] + except Exception: + # If g(r) fails for this bin (e.g. density estimation), + # leave NaN and keep going — G(r) is still valid. + pass + + # Bin-center position along the line in scan pixels. + bin_centers_t = (np.arange(n_bins, dtype=np.float64) + 0.5) / float(n_bins) + bin_positions_px = (bin_centers_t * length).astype(np.float32) + + return { + "n_bins": int(n_bins), + "valid_bins": list(valid_bins), + "bin_positions_px": bin_positions_px, + "line_length_px": float(length), + "k": k_axis, + "Ik": Ik_stack, + "bg": bg_stack, + "k_fk": k_fk_axis if k_fk_axis is not None else np.zeros(0, dtype=np.float32), + "Fk": Fk_stack if Fk_stack is not None else np.zeros((n_bins, 0), dtype=np.float32), + "r": r_axis if r_axis is not None else np.zeros(0, dtype=np.float32), + "Gr": Gr_stack if Gr_stack is not None else np.zeros((n_bins, 0), dtype=np.float32), + "gr": gr_stack, # None if no density set / never produced + } + def _recompute_full(self): # Line-scan: compute a per-position PDF stack instead of one curve set. if self.analysis_mode == "line" and self.line_mode == "linescan": @@ -1135,6 +1253,274 @@ def save_image( plt.close(fig) return path + def save_results( + self, + path: str | pathlib.Path, + *, + overwrite: bool = False, + ) -> pathlib.Path: + """Save the current PDF results to a self-contained zip file. + + The zip is laid out to be openable with very little Python knowledge: + a plaintext README, a JSON metadata file, and CSV curve files. The mask + (for mask mode) is the one exception — saved as ``mask.npy`` because a + scan-shaped boolean CSV is unwieldy. + + Layout (always present): + README.txt + metadata.txt + curves_k.csv k, I(k), B(k), F(k) (selected region) + curves_r.csv r, G(r), g(r) (if computed) + + Extra files by mode: + mask mode: mask.npy + line/linescan: linescan_position.csv, linescan_Ik.csv, + linescan_Ik_bg.csv, linescan_Fk.csv, + linescan_Gr.csv, linescan_gr.csv (if g(r) computed) + + Parameters + ---------- + path : str or pathlib.Path + Output zip path. Should end in ``.zip``; the extension is added if + missing. + overwrite : bool, default False + If False and the file already exists, raises FileExistsError. + + Returns + ------- + pathlib.Path + The written zip path. + """ + import csv + import datetime + import io + import zipfile + + path = pathlib.Path(path) + if path.suffix.lower() != ".zip": + path = path.with_suffix(path.suffix + ".zip" if path.suffix else ".zip") + if path.exists() and not overwrite: + raise FileExistsError( + f"{path} already exists; pass overwrite=True to replace it." + ) + + is_linescan = ( + self.analysis_mode == "line" and self.line_mode == "linescan" + ) + + # ---- Gather data ---------------------------------------------------- + # For single-curve modes (mask / probe / line-averaged) the curves are + # already in self._pdf after the most recent _recompute_full(). For + # linescan we run the all-modes helper so every per-bin curve is saved. + if is_linescan: + ls = self._compute_linescan_all_modes() + if ls is None: + raise RuntimeError( + "Line scan has no valid bins yet — draw a line and let the " + "widget compute before saving." + ) + # For the single-curve "curves_*.csv" files we still emit the + # whole-band-averaged curves so the zip always has a 1D summary. + band_mask = self._line_band_mask() + if band_mask is None: + raise RuntimeError("Line is no longer active; cannot save.") + saved_state = (self._pdf.Ik, self._pdf.bg, getattr(self._pdf, "f", None)) + try: + self._pdf.Ik = None + self._pdf.bg = None + self._pdf.calculate_Gr( + mask_realspace=band_mask, **self._curve_params() + ) + if self.density_mode in ("manual", "estimated"): + try: + density = ( + float(self.density_value) + if self.density_mode == "manual" + else None + ) + self._pdf.calculate_gr(density=density, r_cut=self.r_cut) + except Exception: + pass + k1d, ik1d, bg1d, fk1d, r1d, gr1d, grden1d = self._extract_1d_curves() + finally: + # Restore whatever the widget was last showing — leaving self._pdf + # in a half-mutated state would break the next slider event. + self._pdf.Ik, self._pdf.bg = saved_state[0], saved_state[1] + if saved_state[2] is not None: + self._pdf.f = saved_state[2] + else: + if self._pdf.Ik is None: + raise RuntimeError( + "Curves not yet computed — interact with the widget once " + "(or call set_mask / set_line / change a slider) before saving." + ) + k1d, ik1d, bg1d, fk1d, r1d, gr1d, grden1d = self._extract_1d_curves() + + # ---- Build metadata -------------------------------------------------- + metadata = { + "widget_version": str(self.widget_version), + "saved_at": datetime.datetime.now(datetime.timezone.utc).isoformat(), + "title": self.title, + "scan_shape": [int(self.scan_rows), int(self.scan_cols)], + "analysis_mode": self.analysis_mode, + "line_mode": self.line_mode if self.analysis_mode == "line" else None, + "plot_mode_at_save": self.plot_mode, + "region": self._region_metadata(), + "fit_parameters": { + "k_min_fit": float(self.k_min_fit), + "k_max_fit": float(self.k_max_fit), + "k_min_window": float(self.k_min_window), + "k_max_window": float(self.k_max_window), + "k_lowpass": float(self.k_lowpass), + "k_highpass": float(self.k_highpass), + "r_min": float(self.r_min), + "r_max": float(self.r_max), + "r_step": float(self.r_step), + "damp_origin_oscillations": bool(self.damp_origin_oscillations), + "r_cut": float(self.r_cut), + "density_mode": self.density_mode, + "density_value": float(self.density_value), + }, + } + if is_linescan: + metadata["region"]["n_linescan_bins"] = int(ls["n_bins"]) + metadata["region"]["line_length_px"] = float(ls["line_length_px"]) + + # ---- Write into the zip --------------------------------------------- + path.parent.mkdir(parents=True, exist_ok=True) + with zipfile.ZipFile(path, "w", compression=zipfile.ZIP_DEFLATED) as zf: + zf.writestr("metadata.txt", _format_metadata_txt(metadata)) + zf.writestr( + "curves_k.csv", + _columns_to_csv( + ["k", "Ik", "bg", "Fk"], + [k1d, ik1d, bg1d, fk1d], + ), + ) + zf.writestr( + "curves_r.csv", + _columns_to_csv( + ["r", "Gr", "gr"], + [r1d, gr1d, grden1d], + ), + ) + + if self.analysis_mode == "mask": + mask = self._get_mask() + if mask is None: + mask = np.ones((self.scan_rows, self.scan_cols), dtype=bool) + buf = io.BytesIO() + np.save(buf, mask.astype(bool), allow_pickle=False) + zf.writestr("mask.npy", buf.getvalue()) + + if is_linescan: + pos_buf = io.StringIO() + w = csv.writer(pos_buf) + w.writerow(["bin_index", "position_px"]) + for i, p in enumerate(ls["bin_positions_px"]): + w.writerow([i, f"{float(p):.6g}"]) + zf.writestr("linescan_position.csv", pos_buf.getvalue()) + + zf.writestr( + "linescan_Ik.csv", + _stack_to_csv_with_axis(ls["k"], ls["Ik"]), + ) + zf.writestr( + "linescan_Ik_bg.csv", + _stack_to_csv_with_axis(ls["k"], ls["bg"]), + ) + if ls["Fk"].size: + zf.writestr( + "linescan_Fk.csv", + _stack_to_csv_with_axis(ls["k_fk"], ls["Fk"]), + ) + if ls["Gr"].size: + zf.writestr( + "linescan_Gr.csv", + _stack_to_csv_with_axis(ls["r"], ls["Gr"]), + ) + if ls["gr"] is not None and ls["gr"].size: + zf.writestr( + "linescan_gr.csv", + _stack_to_csv_with_axis(ls["r"], ls["gr"]), + ) + + zf.writestr("README.txt", _build_readme(is_linescan, self.analysis_mode)) + + return path.resolve() + + def _extract_1d_curves(self): + """Return (k, I(k), B(k), F(k), r, G(r), g(r)) for the current state. + + Each array is float32. F(k) may be shorter than I(k); the caller is + responsible for padding when writing aligned CSVs. r-axis curves are + empty arrays when G(r) has not been computed. + """ + k = np.asarray(self._pdf.qq, dtype=np.float32) + ik = ( + to_numpy(self._pdf.Ik).astype(np.float32) + if self._pdf.Ik is not None + else np.zeros(0, dtype=np.float32) + ) + bg = ( + to_numpy(self._pdf.bg).astype(np.float32) + if self._pdf.bg is not None + else np.zeros(0, dtype=np.float32) + ) + fk = ( + to_numpy(self._pdf.Fk_masked).astype(np.float32) + if self._pdf.Fk_masked is not None + else np.zeros(0, dtype=np.float32) + ) + if self._pdf._r is not None and self._pdf._reduced_pdf is not None: + r_axis = to_numpy(self._pdf._r).astype(np.float32) + Gr_arr = ( + self._pdf.reduced_pdf_damped + if self._pdf.reduced_pdf_damped is not None + else self._pdf._reduced_pdf + ) + gr_curve = to_numpy(Gr_arr).astype(np.float32) + else: + r_axis = np.zeros(0, dtype=np.float32) + gr_curve = np.zeros(0, dtype=np.float32) + if self._pdf._pdf is not None and r_axis.size: + grden = to_numpy(self._pdf._pdf).astype(np.float32) + else: + grden = np.zeros(0, dtype=np.float32) + return k, ik, bg, fk, r_axis, gr_curve, grden + + def _region_metadata(self): + """Mode-specific region selection for metadata.txt.""" + if self.analysis_mode == "mask": + return { + "kind": "mask", + "mask_pixel_count": int(self.mask_pixel_count), + "mask_fraction": float(self.mask_fraction), + "mask_file": "mask.npy", + } + if self.analysis_mode == "probe": + return { + "kind": "probe", + "probe_row": int(self.probe_row), + "probe_col": int(self.probe_col), + "probe_size": int(self.probe_size), + "mask_pixel_count": int(self.mask_pixel_count), + "mask_fraction": float(self.mask_fraction), + } + if self.analysis_mode == "line": + return { + "kind": "line", + "line_row0": float(self.line_row0), + "line_col0": float(self.line_col0), + "line_row1": float(self.line_row1), + "line_col1": float(self.line_col1), + "line_width": int(self.line_width), + "line_perpendicular": bool(self.line_perpendicular), + "mask_pixel_count": int(self.mask_pixel_count), + "mask_fraction": float(self.mask_fraction), + } + return {"kind": self.analysis_mode} + # ========================================================================= # State persistence # ========================================================================= @@ -1258,3 +1644,244 @@ def __repr__(self) -> str: f"ShowPDF(scan=({self.scan_rows}, {self.scan_cols}), " f"k=[{self.k_min_fit:.1f}, {self.k_max_fit:.1f}]{mask_info})" ) + + +# ============================================================================= +# save_results helpers (module-level so they stay testable / out of the trait +# class). All CSV output uses comma separators, dot-decimals, and empty cells +# for missing values so the files open cleanly in Excel / pandas. +# ============================================================================= +def _format_cell(v) -> str: + """Float → short decimal; NaN / empty → empty cell.""" + import math + try: + f = float(v) + except (TypeError, ValueError): + return "" + if math.isnan(f): + return "" + return f"{f:.7g}" + + +def _columns_to_csv(headers, columns) -> str: + """Write ragged 1D columns as a CSV, padding shorter columns with empty cells. + + Used for ``curves_k.csv`` (F(k) typically shorter than I(k)) and + ``curves_r.csv`` (g(r) absent if no density). + """ + import csv + import io + + n_rows = max((len(c) for c in columns), default=0) + buf = io.StringIO() + w = csv.writer(buf) + w.writerow(headers) + for i in range(n_rows): + row = [] + for col in columns: + row.append(_format_cell(col[i]) if i < len(col) else "") + w.writerow(row) + return buf.getvalue() + + +def _stack_to_csv_with_axis(axis, stack) -> str: + """2D stack as CSV with the axis values as a header row. + + Layout: + axis_0, axis_1, ..., axis_{n_cols-1} + stack[0, 0], stack[0, 1], ... + stack[1, 0], ... + ... + + NaN cells are written empty (linescan stacks NaN-fill invalid bins). + """ + import csv + import io + + n_cols = int(stack.shape[1]) + axis_arr = np.asarray(axis).reshape(-1)[:n_cols] + buf = io.StringIO() + w = csv.writer(buf) + w.writerow([_format_cell(v) for v in axis_arr]) + for row in stack: + w.writerow([_format_cell(v) for v in row]) + return buf.getvalue() + + +def _format_metadata_txt(meta: dict) -> str: + """Render the metadata dict as a human-readable plaintext file. + + Layout: title + underlined section headers, two-column ``key: value`` + pairs inside each section, no quotes / braces / brackets. Sentinel 0.0 + values for k-range parameters render as ``disabled``. + """ + def _section(title: str, char: str = "-") -> list[str]: + return [title, char * len(title)] + + def _k_val(v) -> str: + return "disabled" if float(v) == 0.0 else f"{float(v):g}" + + def _bool_val(v) -> str: + return "on" if v else "off" + + lines: list[str] = [] + lines += [ + "quantem ShowPDF — exported results", + "===================================", + "", + f"Saved: {meta['saved_at']}", + f"Widget version: {meta['widget_version']}", + f"Title: {meta['title']}", + "", + ] + + lines += _section("Scan") + sr, sc = meta["scan_shape"] + lines.append(f" shape: {sr} x {sc} pixels") + lines.append("") + + lines += _section("Analysis") + lines.append(f" mode: {meta['analysis_mode']}") + if meta.get("line_mode"): + lines.append(f" line mode: {meta['line_mode']}") + lines.append(f" plot mode at save: {meta['plot_mode_at_save']}") + lines.append("") + + region = meta["region"] + kind = region.get("kind", "unknown") + lines += _section(f"Region ({kind})") + if kind == "mask": + lines.append( + f" pixels selected: {region.get('mask_pixel_count', 0)} " + f"({region.get('mask_fraction', 0.0) * 100:.1f}% of scan)" + ) + lines.append(f" mask file: {region.get('mask_file', 'mask.npy')}") + elif kind == "probe": + lines.append( + f" centre (row, col): ({region['probe_row']}, {region['probe_col']})" + ) + side = 2 * int(region["probe_size"]) - 1 + lines.append(f" size: {side} x {side} px") + lines.append( + f" pixels selected: {region.get('mask_pixel_count', 0)} " + f"({region.get('mask_fraction', 0.0) * 100:.1f}% of scan)" + ) + elif kind == "line": + lines.append( + f" start (row, col): " + f"({region['line_row0']:.2f}, {region['line_col0']:.2f})" + ) + lines.append( + f" end (row, col): " + f"({region['line_row1']:.2f}, {region['line_col1']:.2f})" + ) + lines.append(f" width: {region['line_width']} px") + lines.append( + f" perpendicular: " + f"{'yes' if region['line_perpendicular'] else 'no'}" + ) + lines.append( + f" pixels selected: {region.get('mask_pixel_count', 0)} " + f"({region.get('mask_fraction', 0.0) * 100:.1f}% of scan)" + ) + if "n_linescan_bins" in region: + lines.append(f" linescan bins: {region['n_linescan_bins']}") + lines.append(f" line length: {region['line_length_px']:.2f} px") + lines.append("") + + lines += _section("Fit parameters") + fp = meta["fit_parameters"] + lines.append(f" k_min_fit: {_k_val(fp['k_min_fit'])}") + lines.append(f" k_max_fit: {_k_val(fp['k_max_fit'])}") + lines.append(f" k_min_window: {_k_val(fp['k_min_window'])}") + lines.append(f" k_max_window: {_k_val(fp['k_max_window'])}") + lines.append(f" k_lowpass: {_k_val(fp['k_lowpass'])}") + lines.append(f" k_highpass: {_k_val(fp['k_highpass'])}") + lines.append(f" r_min: {float(fp['r_min']):g}") + lines.append(f" r_max: {float(fp['r_max']):g}") + lines.append(f" r_step: {float(fp['r_step']):g}") + lines.append( + f" damp_origin_oscillations: {_bool_val(fp['damp_origin_oscillations'])}" + ) + lines.append(f" r_cut: {float(fp['r_cut']):g}") + lines.append(f" density_mode: {fp['density_mode']}") + lines.append(f" density_value: {float(fp['density_value']):g}") + lines.append("") + + return "\n".join(lines) + + +def _build_readme(is_linescan: bool, analysis_mode: str) -> str: + lines = [ + "quantem ShowPDF — exported results", + "===================================", + "", + "Files in this archive:", + "", + " metadata.txt Mode, region selection, fit parameters, axis info,", + " timestamp. Plain text — open in any editor.", + "", + " curves_k.csv Reciprocal-space curves for the selected region:", + " columns are k, I(k), B(k), F(k).", + " Background B(k) is the fit; F(k) is the windowed", + " reduced structure factor (may end before I(k) does).", + "", + " curves_r.csv Real-space curves: columns are r, G(r), g(r).", + " g(r) is only present when a density was set.", + "", + ] + if analysis_mode == "mask": + lines += [ + " mask.npy Boolean 2D array (scan_rows × scan_cols) marking", + " the scan positions used. Load with numpy:", + " import numpy as np", + " mask = np.load('mask.npy')", + "", + ] + if is_linescan: + lines += [ + " linescan_position.csv", + " Two columns: bin_index, position_px.", + " position_px is the bin center along the drawn", + " line, in scan pixels.", + "", + " linescan_Ik.csv, linescan_Ik_bg.csv, linescan_Fk.csv,", + " linescan_Gr.csv, linescan_gr.csv", + " 2D stacks of per-bin curves. The FIRST row of", + " each file is the axis (k for Ik/Ik_bg/Fk; r for", + " Gr/gr). Each subsequent row is one bin (same", + " order as linescan_position.csv). Empty cells", + " indicate bins with no scan positions inside.", + "", + ] + lines += [ + "Quick load in Python:", + "", + " import numpy as np", + "", + " # 1D curves (Excel-style: skip the header row, blank cells → NaN)", + " curves_k = np.genfromtxt('curves_k.csv', delimiter=',',", + " names=True, missing_values='', filling_values=np.nan)", + " k = curves_k['k']", + " Ik = curves_k['Ik']", + " bg = curves_k['bg']", + " Fk = curves_k['Fk']", + "", + " # metadata.txt is plain text — read it with open() or just look at it", + " # in a text editor; the values are also visible in any browser.", + "", + ] + if is_linescan: + lines += [ + " # 2D linescan stack — first row is the axis, rest is data", + " raw = np.genfromtxt('linescan_Gr.csv', delimiter=',',", + " missing_values='', filling_values=np.nan)", + " r_axis = raw[0]", + " Gr_stack = raw[1:] # shape (n_bins, n_r)", + "", + ] + lines += [ + "Excel / Google Sheets: open any .csv file directly.", + "", + ] + return "\n".join(lines) From d1fcab26b490faffbd9596fa113cd2c0e4337827 Mon Sep 17 00:00:00 2001 From: Ehrdt Ehrhardt Date: Thu, 11 Jun 2026 12:53:07 -0700 Subject: [PATCH 06/45] subpixel calibration, casting cleanup --- src/quantem/diffraction/calibration.py | 157 +++++++++++++++++-------- src/quantem/diffraction/ellipticity.py | 6 +- 2 files changed, 108 insertions(+), 55 deletions(-) diff --git a/src/quantem/diffraction/calibration.py b/src/quantem/diffraction/calibration.py index 10e9d6c21..21eab3698 100644 --- a/src/quantem/diffraction/calibration.py +++ b/src/quantem/diffraction/calibration.py @@ -6,8 +6,6 @@ import numpy as np import torch from numpy.typing import NDArray -from scipy import sparse -from scipy.sparse.linalg import spsolve from quantem.core.datastructures.dataset2d import Dataset2d from quantem.core.datastructures.dataset4dstem import Dataset4dstem @@ -17,8 +15,8 @@ def _arpls_baseline( - y: NDArray, lam: float = 0.1, ratio: float = 1e-2, niter: int = 100 -) -> NDArray: + y: torch.Tensor, lam: float = 0.1, ratio: float = 1e-2, niter: int = 100 +) -> torch.Tensor: """Asymmetrically reweighted penalized least squares baseline. Smoothness-regularised lower-envelope estimator that handles both @@ -31,7 +29,7 @@ def _arpls_baseline( Parameters ---------- - y : NDArray + y : torch.Tensor 1D signal to fit a baseline under. lam : float Smoothness penalty. Larger -> stiffer baseline. @@ -42,26 +40,39 @@ def _arpls_baseline( Returns ------- - z : NDArray - Smooth baseline, same length as ``y``. + z : torch.Tensor + Smooth baseline, same length, device, and dtype-promoted-to-float64 + as ``y``. """ - y = np.asarray(y, dtype=float) - L = len(y) - D = sparse.diags([1.0, -2.0, 1.0], [0, -1, -2], shape=(L, L - 2)) + y = y.to(dtype=torch.float64) + L = y.numel() + device = y.device + # 2nd-difference operator D is L x (L-2); column j has [1, -2, 1] at + # rows j, j+1, j+2. H = lam * D @ D.T is the smoothness penalty (band-5). + col = torch.arange(L - 2, device=device) + D = torch.zeros(L, L - 2, device=device, dtype=torch.float64) + D[col, col] = 1.0 + D[col + 1, col] = -2.0 + D[col + 2, col] = 1.0 H = lam * (D @ D.T) - w = np.ones(L) + diag_rows = torch.arange(L, device=device) + + w = torch.ones(L, device=device, dtype=torch.float64) + z = y.clone() for _ in range(niter): - W = sparse.diags(w) - z = spsolve((W + H).tocsc(), w * y) + A = H.clone() + A[diag_rows, diag_rows] += w # A = diag(w) + H, symmetric PD + z = torch.linalg.solve(A, w * y) d = y - z dn = d[d < 0] - if dn.size == 0: + if dn.numel() == 0: break - m, s = dn.mean(), dn.std() + m = dn.mean() + s = dn.std(correction=0) # ddof=0 to match numpy default # Asymmetric reweighting; clip the logistic exponent so peaks don't overflow - expo = np.clip(2.0 * (d - (2.0 * s - m)) / (s + 1e-12), -50.0, 50.0) - wt = 1.0 / (1.0 + np.exp(expo)) - if np.linalg.norm(w - wt) / (np.linalg.norm(w) + 1e-12) < ratio: + expo = torch.clamp(2.0 * (d - (2.0 * s - m)) / (s + 1e-12), -50.0, 50.0) + wt = 1.0 / (1.0 + torch.exp(expo)) + if torch.linalg.norm(w - wt) / (torch.linalg.norm(w) + 1e-12) < ratio: break w = wt return z @@ -103,7 +114,7 @@ def _find_peaks_torch( ------- peaks : 1D torch.Tensor (long), peak indices sorted ascending. """ - n = int(y.numel()) + n = y.numel() if n < 3: return torch.empty(0, dtype=torch.long, device=y.device) @@ -324,7 +335,7 @@ def from_data( ) mean_dp = arr4d_t[mask_t].mean(dim=0, dtype=torch.float64).cpu().numpy() else: - n_pos = int(data.shape[0] * data.shape[1]) + n_pos = data.shape[0] * data.shape[1] print(f"Averaging all {n_pos} diffraction patterns ...") mean_dp = arr4d_t.mean(dim=(0, 1), dtype=torch.float64).cpu().numpy() mean_ds = Dataset4dstem.from_array( @@ -423,7 +434,9 @@ def fit_bg( bg = profile.copy() # arPLS in log space so the steep central-beam decay is tractable log_seg = np.log(np.clip(profile[radial_min:], 0.0, None) + 1.0) - bg[radial_min:] = np.exp(_arpls_baseline(log_seg, lam=lam)) - 1.0 + log_seg_t = torch.from_numpy(np.ascontiguousarray(log_seg)) + bg_seg = (torch.exp(_arpls_baseline(log_seg_t, lam=lam)) - 1.0).cpu().numpy() + bg[radial_min:] = bg_seg bg = np.clip(bg, 0.0, None) self.background = bg return self.background @@ -438,9 +451,15 @@ def find_peaks( ) -> NDArray: """Detect peaks in the background-subtracted radial profile. - Runs :func:`scipy.signal.find_peaks` on - ``radial_profile - background``. If :attr:`background` has not been - fit yet, calls :meth:`fit_bg` with defaults first. + Runs :func:`_find_peaks_torch` on ``radial_profile - background``, + then refines each detected peak to sub-pixel precision via a + parabolic vertex fit to its three nearest samples. The integer + bins remain in :attr:`peak_indices` (for residual-value lookups); + the refined positions go in :attr:`peak_pixel_positions` and feed + :meth:`calibrate`'s least-squares fit. + + If :attr:`background` has not been fit yet, calls :meth:`fit_bg` + with defaults first. Parameters ---------- @@ -451,12 +470,14 @@ def find_peaks( (the innermost rings). Useful when the detector finds more candidates than you want to use for the calibration fit. distance, prominence, height - Passed through to ``scipy.signal.find_peaks``. + Passed through to :func:`_find_peaks_torch` (scipy-equivalent + semantics). Returns ------- - peak_indices : NDArray - Indices into :attr:`radial_profile` where peaks were found. + peak_positions : NDArray + Sub-pixel-refined peak positions (same units as + :attr:`radial_pixel_positions`). """ if self.background is None: self.fit_bg(radial_min=radial_min) @@ -478,9 +499,31 @@ def find_peaks( if n_peaks is not None: indices = indices[:n_peaks] + # Sub-pixel parabolic refinement: vertex offset of the parabola + # through residual[idx-1], residual[idx], residual[idx+1]. Clipped + # to [-1, 1] bin steps to guard against flat / inverted curvature. + positions = self.radial_pixel_positions + step = float(positions[1] - positions[0]) if len(positions) > 1 else 1.0 + refined = np.empty_like(indices, dtype=float) + for k, idx in enumerate(indices): + base = float(positions[idx]) + if 0 < idx < len(residual) - 1: + y0 = float(residual[idx - 1]) + y1 = float(residual[idx]) + y2 = float(residual[idx + 1]) + denom = y0 - 2.0 * y1 + y2 + if denom != 0.0: + delta = 0.5 * (y0 - y2) / denom + delta = max(-1.0, min(1.0, delta)) + else: + delta = 0.0 + refined[k] = base + delta * step + else: + refined[k] = base + self.peak_indices = indices - self.peak_pixel_positions = self.radial_pixel_positions[indices] - return indices + self.peak_pixel_positions = refined + return refined # ------------------------------------------------------------------ # Calibration @@ -584,7 +627,13 @@ def apply(self, dataset: Dataset4dstem) -> None: # Plotting helpers # ------------------------------------------------------------------ def plot_radial_profile(self) -> plt.Figure: - """Plot the radial profile, background fit, and residual with peaks.""" + """Plot the radial profile, background fit, and residual with peaks. + + Peak markers sit at the sub-pixel-refined positions stored in + :attr:`peak_pixel_positions` (their y-values are linearly + interpolated onto the underlying curve). If :meth:`calibrate` has + been run, each marker is annotated with the matched ``{hkl}``. + """ has_bg = self.background is not None n_axes = 2 if has_bg else 1 @@ -592,20 +641,28 @@ def plot_radial_profile(self) -> plt.Figure: if n_axes == 1: axes = [axes] + marker_kw = dict(s=40, color="red", alpha=0.5, edgecolors="none", + zorder=5, label="Peaks") + ann_kw = dict(textcoords="offset points", xytext=(5, 6), + fontsize=7, color="red", alpha=0.9) + + def _annotate_peaks(ax, y_curve): + if self.peak_pixel_positions is None: + return + peak_y = np.interp(self.peak_pixel_positions, + self.radial_pixel_positions, y_curve) + ax.scatter(self.peak_pixel_positions, peak_y, **marker_kw) + if self.matched_hkl is not None: + for r_sub, hkl, y in zip(self.peak_pixel_positions, + self.matched_hkl, peak_y): + ax.annotate(f"{{{hkl}}}", (r_sub, y), **ann_kw) + # --- Left panel: raw profile + background --- ax = axes[0] ax.plot(self.radial_pixel_positions, self.radial_profile, label="I(r)") if has_bg: ax.plot(self.radial_pixel_positions, self.background, "--", label="Background") - if self.peak_pixel_positions is not None: - ax.plot( - self.peak_pixel_positions, - self.radial_profile[self.peak_indices], - "x", - color="red", - markersize=8, - label="Peaks", - ) + _annotate_peaks(ax, self.radial_profile) ax.set_yscale("log") ax.set_xlabel("Radial position (pixels)") ax.set_ylabel("Mean intensity") @@ -617,15 +674,7 @@ def plot_radial_profile(self) -> plt.Figure: ax2 = axes[1] residual = getattr(self, "_residual", self.radial_profile - self.background) ax2.plot(self.radial_pixel_positions, residual, label="I(r) - B(r)") - if self.peak_pixel_positions is not None: - ax2.plot( - self.peak_pixel_positions, - residual[self.peak_indices], - "x", - color="red", - markersize=8, - label="Peaks", - ) + _annotate_peaks(ax2, residual) ax2.axhline(0, color="gray", linewidth=0.5) ax2.set_xlabel("Radial position (pixels)") ax2.set_ylabel("Residual intensity") @@ -670,11 +719,15 @@ def plot_trial_pixel_sizes( for ax, ps in zip(axes, trial_sizes): ax.plot(self.radial_pixel_positions, residual, "b-", linewidth=1) if self.peak_pixel_positions is not None: - ax.plot( + peak_y = np.interp(self.peak_pixel_positions, + self.radial_pixel_positions, residual) + ax.scatter( self.peak_pixel_positions, - residual[self.peak_indices.astype(int)], - "rx", - markersize=8, + peak_y, + s=40, + color="red", + alpha=0.5, + edgecolors="none", zorder=5, ) y_top = max(residual.max() * 1.05, 1.0) diff --git a/src/quantem/diffraction/ellipticity.py b/src/quantem/diffraction/ellipticity.py index 0268e21ca..2ce237523 100644 --- a/src/quantem/diffraction/ellipticity.py +++ b/src/quantem/diffraction/ellipticity.py @@ -168,8 +168,8 @@ def fit_elliptical_distortion( bin_idx = ((r_flat - r_inner) / bin_step).long().clamp(0, nbins - 1) radial_integral = torch.zeros(nbins, device=device).scatter_add_(0, bin_idx, val_fit) # get ring peak's radius in pixels (bin center) - peak_idx = int(radial_integral.argmax().item()) - R_init = float(r_inner + (peak_idx + 0.5) * bin_step) + peak_idx = radial_integral.argmax().item() + R_init = r_inner + (peak_idx + 0.5) * bin_step # set init param guesses c_bkgd_init = max(float(val_fit.min()), 0.0) near_ring = val_fit[(r_flat - R_init).abs() < 3.0] @@ -270,7 +270,7 @@ def _to_physical(raw_params: torch.Tensor) -> torch.Tensor: # Extract final parameters with torch.no_grad(): final_params = _to_physical(best_raw) - final_loss = best_loss * float(val_fit.numel()) + final_loss = best_loss * val_fit.numel() a_fit, b_fit, theta_fit_rad = convert_ellipse_params( float(final_params[8]), float(final_params[9]), From 258b4dbbf465a03906f583f218af9dd554095a12 Mon Sep 17 00:00:00 2001 From: Ehrdt Ehrhardt Date: Thu, 11 Jun 2026 13:22:50 -0700 Subject: [PATCH 07/45] complete merge --- widget/src/quantem/widget/showpdf.py | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/widget/src/quantem/widget/showpdf.py b/widget/src/quantem/widget/showpdf.py index 7e74703a5..030b35f04 100644 --- a/widget/src/quantem/widget/showpdf.py +++ b/widget/src/quantem/widget/showpdf.py @@ -1253,6 +1253,7 @@ def save_image( plt.close(fig) return path +<<<<<<< HEAD def save_results( self, path: str | pathlib.Path, @@ -1521,6 +1522,8 @@ def _region_metadata(self): } return {"kind": self.analysis_mode} +======= +>>>>>>> origin/showpdf-widget # ========================================================================= # State persistence # ========================================================================= @@ -1644,6 +1647,7 @@ def __repr__(self) -> str: f"ShowPDF(scan=({self.scan_rows}, {self.scan_cols}), " f"k=[{self.k_min_fit:.1f}, {self.k_max_fit:.1f}]{mask_info})" ) +<<<<<<< HEAD # ============================================================================= @@ -1885,3 +1889,5 @@ def _build_readme(is_linescan: bool, analysis_mode: str) -> str: "", ] return "\n".join(lines) +======= +>>>>>>> origin/showpdf-widget From 57e752f04a7e0b39e36ee45ce64466c7f1924ce0 Mon Sep 17 00:00:00 2001 From: Ehrdt Ehrhardt Date: Thu, 11 Jun 2026 13:35:27 -0700 Subject: [PATCH 08/45] resolve stale conflict markers in showpdf.py --- widget/src/quantem/widget/showpdf.py | 6 ------ 1 file changed, 6 deletions(-) diff --git a/widget/src/quantem/widget/showpdf.py b/widget/src/quantem/widget/showpdf.py index 030b35f04..7e74703a5 100644 --- a/widget/src/quantem/widget/showpdf.py +++ b/widget/src/quantem/widget/showpdf.py @@ -1253,7 +1253,6 @@ def save_image( plt.close(fig) return path -<<<<<<< HEAD def save_results( self, path: str | pathlib.Path, @@ -1522,8 +1521,6 @@ def _region_metadata(self): } return {"kind": self.analysis_mode} -======= ->>>>>>> origin/showpdf-widget # ========================================================================= # State persistence # ========================================================================= @@ -1647,7 +1644,6 @@ def __repr__(self) -> str: f"ShowPDF(scan=({self.scan_rows}, {self.scan_cols}), " f"k=[{self.k_min_fit:.1f}, {self.k_max_fit:.1f}]{mask_info})" ) -<<<<<<< HEAD # ============================================================================= @@ -1889,5 +1885,3 @@ def _build_readme(is_linescan: bool, analysis_mode: str) -> str: "", ] return "\n".join(lines) -======= ->>>>>>> origin/showpdf-widget From 32c1f6ced09ef2285fc1b3fff9238fcf01e38187 Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Thu, 16 Jul 2026 09:53:02 -0700 Subject: [PATCH 09/45] initial commit --- src/quantem/diffraction/padf.py | 69 +++++++++++++++++++++++++++++++++ 1 file changed, 69 insertions(+) create mode 100644 src/quantem/diffraction/padf.py diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py new file mode 100644 index 000000000..b775de9a2 --- /dev/null +++ b/src/quantem/diffraction/padf.py @@ -0,0 +1,69 @@ +import matplotlib.pyplot as plt +import numpy as np +import torch +from numpy.typing import NDArray + +from quantem.core.datastructures.dataset4dstem import Dataset4dstem +from quantem.core.datastructures.polar4dstem import Polar4dstem +from quantem.core.io.serialize import AutoSerialize +from quantem.diffraction.polar_transform import ( + find_origin_angular_descent, + find_origin_angular_grid, + polar_transform, +) + +from quantem.core.io.serialize import load +from pathlib import Path + +# TODO: import the load function and generate a ds from sample data from Karen's tutorial +# TODO: use the sample ds to explore type(origin) (after calling angular descent function) + +class PairAngleDistributionFunction(AutoSerialize): + """ + Compute pair-angle distribution function for a given 4D-STEM dataset. + + Outline of extraction pipeline: + - Create the PairAngleDistributionFunction class (just use init constructor) + - Store dataset + - Store diffraction-pattern center (if given) + - Store other parameters from appendix B + - Use the established function to find origin/center + - Use polar transform + - Rescale_intensity function (equation 7) + - Compute angular cross-correlation - C(q, q’, delta phi) for ONE pattern, then average over ALL diffraction patterns + - Decompose into spherical harmonic components + - Spherical Bessel transform from q to r + - Legendre sum to get padf! + - Plot padf + + + """ + def __init__(self, + ds: Dataset4dstem = None, + origin: NDArray | None = None + ): + super().__init__() + + self.ds = ds + self.origin = origin + + if origin is None: + self.origin = find_origin_angular_grid(ds) + + def find_origin(): + pass + + + + + + + +if __name__ == "__main__": + path = Path(r"C:\Users\Emanu\Downloads\Ta_sim_binned.zip") + ds = load(path) + print(type(ds)) + + padf = PairAngleDistributionFunction(ds=ds) + print(padf.origin) + print(type(padf.origin)) \ No newline at end of file From 36f32675fbab7d3d31f5fe36f63559b509f6ccdb Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Thu, 16 Jul 2026 09:55:59 -0700 Subject: [PATCH 10/45] update --- src/quantem/diffraction/.vscode/settings.json | 4 + src/quantem/diffraction/padf.py | 222 +++++++++++++++--- src/quantem/diffraction/test.py | 3 + src/quantem/diffraction/trash.py | 105 +++++++++ 4 files changed, 295 insertions(+), 39 deletions(-) create mode 100644 src/quantem/diffraction/.vscode/settings.json create mode 100644 src/quantem/diffraction/test.py create mode 100644 src/quantem/diffraction/trash.py diff --git a/src/quantem/diffraction/.vscode/settings.json b/src/quantem/diffraction/.vscode/settings.json new file mode 100644 index 000000000..4b5a29442 --- /dev/null +++ b/src/quantem/diffraction/.vscode/settings.json @@ -0,0 +1,4 @@ +{ + "python-envs.defaultEnvManager": "ms-python.python:conda", + "python-envs.defaultPackageManager": "ms-python.python:conda" +} \ No newline at end of file diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index b775de9a2..9c56e78ee 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -1,7 +1,9 @@ import matplotlib.pyplot as plt -import numpy as np import torch +import numpy as np from numpy.typing import NDArray +from numpy.polynomial.legendre import legval +from scipy.special import spherical_jn from quantem.core.datastructures.dataset4dstem import Dataset4dstem from quantem.core.datastructures.polar4dstem import Polar4dstem @@ -15,55 +17,197 @@ from quantem.core.io.serialize import load from pathlib import Path -# TODO: import the load function and generate a ds from sample data from Karen's tutorial -# TODO: use the sample ds to explore type(origin) (after calling angular descent function) - class PairAngleDistributionFunction(AutoSerialize): """ Compute pair-angle distribution function for a given 4D-STEM dataset. - Outline of extraction pipeline: - - Create the PairAngleDistributionFunction class (just use init constructor) - - Store dataset - - Store diffraction-pattern center (if given) - - Store other parameters from appendix B - - Use the established function to find origin/center - - Use polar transform - - Rescale_intensity function (equation 7) - - Compute angular cross-correlation - C(q, q’, delta phi) for ONE pattern, then average over ALL diffraction patterns - - Decompose into spherical harmonic components - - Spherical Bessel transform from q to r - - Legendre sum to get padf! - - Plot padf - + Run the following pipeline: + pad = PairAngleDistributionFunction(ds) + 1. find_origin_angular_grid(ds) + 2. polar_transform(ds, origin_array=self.origin) + 3. rescale_intensity(self.polar, rho=1, fq=1) + 4. compute_avg_angular_correlation(self.polar_rescaled, dtype=torch.float64) + 5. extract_Bl_matrices(self.ang_corr) + 6. transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) + 7. reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], self.ds.shape[0] * self.ds.shape[1]) """ def __init__(self, ds: Dataset4dstem = None, - origin: NDArray | None = None + origin: NDArray | None = None, + polar_ds: Polar4dstem | None = None, + ang_corr: torch.Tensor | None = None, + Bl_mats = None ): super().__init__() self.ds = ds - self.origin = origin - - if origin is None: - self.origin = find_origin_angular_grid(ds) - - def find_origin(): + self.origin = origin if origin is not None else find_origin_angular_grid(ds) + self.polar = polar_ds if polar_ds is not None else polar_transform(ds, origin_array=self.origin) + + # TODO: we get rho and fq from sample identity, so either the user provides them, we find them in the dataset, or we look them up based on sample identity + self.polar_rescaled = self.rescale_intensity(self.polar, rho=1, fq=1) + + self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled, dtype=torch.float64) + self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr) + self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) + self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], self.ds.shape[0] * self.ds.shape[1]) + + def rescale_intensity(self, + data: Polar4dstem | Dataset4dstem | None = None, + rho: float | int | None = None, + fq: float | int | None = None): + """ + Equation 7: Take the raw intensity and divide by the following factors + - Mean number density (rho) + - Mean atomic scattering factor squared (f(q)^2) + - Number of atoms in the beam (N_a) + - phi_0 (dependent on experimental parameters) + + Most likely we will need to fit phi_0 * N_a term via another function + """ + # TODO: Look at the Martin code to see how he calculated atoms in beam and phi_0 + intensity = data.tensor + rescaled_intensity = intensity / (rho * fq**2) # / still need to include atoms in beam and phi + return rescaled_intensity + + # phi_0 is not measureable, make a function to fit. (edit: Maybe not necessary) + def fit_phi_0(self): pass + + + def compute_avg_angular_correlation(self, data, dtype=torch.float64): + """ + Equation 8: angular cross correlation function + WARNING this part is computationally expensive, takes 20 seconds on my laptop + """ + + scan_row, scan_col, phi, r = data.shape + g_all = data.reshape(scan_row * scan_col, phi, r) # Flatten grid of dps to one dimension, makes for loop simpler + N_alpha = g_all.shape[0] # Number of dps we have = number of configurations (N_alpha) + + dphi = 2.0 * torch.pi / phi # A small change in angle + + C_sum = torch.zeros(phi, r, r) + + for a in range(N_alpha): + g = g_all[a] + for d in range(phi): + shifted = torch.roll(g, shifts=-d, dims=0) # shift by d pixels UP + C_sum[d] += g.T @ shifted + + C_avg = (C_sum / N_alpha) * dphi + return C_avg + + def extract_Bl_matrices(self, C_avg, l_max=20, sv_cutoff=0.05): + # Equation 9, 10, 11 + # for each l: + # build the linear system relating C to B_l(q, q') + # solve it by SVD + # Ignore odd l-terms, Friedel symmetry? + # 5% SVD cutoff + Nphi, Nq, Nqp = C_avg.shape + dphi = np.linspace(0, 2 * np.pi, Nphi + 1)[:-1] # Include every dphi using torch.linspace array rather than loop to faciiltate legval + l_values = list(range(0, l_max, 2)) # This is for the even-only case. + Nl = len(l_values) + B_l = torch.zeros((Nl, Nq, Nqp)) + cos_dphi = np.cos(dphi) + + for iq in range(Nq): + for iqp in range(Nqp): # Handled for each q, qp pair by for loops + + # data vector + c = C_avg[:, iq, iqp].to(torch.float64) + + # build matrix (including 4pi term here) + leg_matrix = np.zeros((Nphi, Nl)) # Ndphi by Nl + for i in range(Nl): + coeffs = np.zeros(Nl) + coeffs[i] = 1.0 + leg_matrix[:, i] = legval(cos_dphi, coeffs) / (4 * np.pi) + leg_matrix = torch.as_tensor(leg_matrix, dtype=torch.float64) + + # SVD solve (from Claude) + U, S, Vh = torch.linalg.svd(leg_matrix, full_matrices=False) + S_max = S.max() + S_inv = torch.where(S > sv_cutoff * S_max, 1.0 / S, torch.zeros_like(S)) + b = Vh.T @ (S_inv * (U.T @ c)) + + B_l[:, iq, iqp] = b + return B_l, l_values + + # TODO: It is mentioned in the paper that a 5% cutoff for SVD is necessary because of "conditioning." When you make a notebook/visuals, demonstrate the need for this by playing with the cutoff. + # TODO: Compare each function to the martin code to see the difference/similarity or understand the repo better + + def transform_to_real_space(self, Bl_mats, l_values, dq=0.01): + """ + IN PROGRESS + dq should be the size of an individual pixel. Default conversion for now is 0.01 angstrom^-1/pixel. + """ + # Equation 12, 13 + # apply bessel transform twice for each l + # → shape = (l, r, r') + + # Step one is to define q + q = torch.arange(0, Bl_mats.shape[1]) * dq + r = torch.reciprocal(q) + real_Bl = torch.zeros(Bl_mats.shape) + + for l in range(len(l_values)): + Bl = Bl_mats[l].to(dtype=torch.float64) # The corresponding q x q' matrix + arg = 2 * torch.pi * torch.outer(r, q) # Shape len(r) x len(q) + jl = torch.from_numpy(spherical_jn(l_values[l], arg)).to(dtype=torch.float64) + + # Representing DSBT (eq 12) as a transformation matrix "sbessel" + sbessel = 4 * torch.pi * jl * (q**2) * dq + # Applying it twice (once along each axis) + real_Bl[l] = sbessel @ Bl @ sbessel.T * (-1) ** l_values[l] + + return real_Bl + + def reconstruct_PADF(self, real_Bl, l_values, Na): + """ + Reconstruct the pair-angle distribution function from B_l(r, r') + For each theta: + - Sum Pl(cos theta) times B_l() over all l + - Multiply by n_alpha * 2 pi + + NOTE: Theta will go from 0 to 180 + """ + padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180)) + theta = np.linspace(0, 179, 180) + cos_theta = np.cos(theta) + chosen_l_values = l_values[1:] + + # Sum over all l + for l in range(len(chosen_l_values)): # skipping l = 0 + coeffs = np.zeros(chosen_l_values[-1] + 1) + coeffs[chosen_l_values[l]] = 1 + Pl = torch.tensor(legval(cos_theta, coeffs)) + Bl = real_Bl[l] + padf += Bl[:, :, np.newaxis] * Pl[np.newaxis, np.newaxis, :] + + padf *= 2 * torch.pi * Na + return padf + + def simple_plot(self): + """ + Plot the r = r' diagonal of the PADF as a 2D map over (r, theta). + + Uses self.padf, which should be a (Nr, Nr, Ntheta) ndarray + (from reconstruct_PAD()) defined in __init__. + """ + # Take padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) + diag = np.einsum("iik->ik", self.padf) + + fig, ax = plt.subplots(figsize=(7, 5)) + im = ax.pcolormesh(diag, shading="auto") + fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") + + ax.set_xlabel(r"$\theta$ index") + ax.set_ylabel("r = r' index") + ax.set_title("PADF diagonal") + fig.tight_layout() + + return ax - - - - - - -if __name__ == "__main__": - path = Path(r"C:\Users\Emanu\Downloads\Ta_sim_binned.zip") - ds = load(path) - print(type(ds)) - - padf = PairAngleDistributionFunction(ds=ds) - print(padf.origin) - print(type(padf.origin)) \ No newline at end of file diff --git a/src/quantem/diffraction/test.py b/src/quantem/diffraction/test.py new file mode 100644 index 000000000..798c07c2f --- /dev/null +++ b/src/quantem/diffraction/test.py @@ -0,0 +1,3 @@ +import numpy as np + +print(np.linspace(0, 180, 181)) \ No newline at end of file diff --git a/src/quantem/diffraction/trash.py b/src/quantem/diffraction/trash.py new file mode 100644 index 000000000..47a144c3b --- /dev/null +++ b/src/quantem/diffraction/trash.py @@ -0,0 +1,105 @@ +def test_extract_Bl_matrices(C_avg, l_max=20, sv_cutoff=0.05): + Nphi, Nq, Nqp = C_avg.shape + """EDIT: Dropped the last element from cos_dphi""" + dphi = np.linspace(0, 2 * np.pi, Nphi + 1)[:-1] # Include every dphi using torch.linspace array rather than loop to faciiltate legval + l_values = list(range(0, l_max, 2)) # This is for the even-only case. Q: Why even only? + Nl = len(l_values) + B_l = torch.zeros(Nl, Nq, Nqp) + cos_dphi = np.cos(dphi) + + for iq in range(Nq): + for iqp in range(Nqp): # Handled for each q, qp pair by for loops + + # data vector + """EDIT: Apparently dtype specification was very important or else you get float * double * float""" + c = C_avg[:, iq, iqp].to(torch.float64) + + # build legendre matrix (including 4pi term here) + """EDIT: np.zeros takes in a tuple, not two separate parameters!""" + leg_matrix = np.zeros((Nphi, Nl)) # Ndphi by Nl + for i in range(Nl): + coeffs = np.zeros(Nl) + coeffs[i] = 1.0 + leg_matrix[:, i] = legval(cos_dphi, coeffs) / (4 * np.pi) + """EDIT: dtype specification again""" + leg_matrix = torch.as_tensor(leg_matrix, dtype=torch.float64) + + # SVD solve (from Claude) + U, S, Vh = torch.linalg.svd(leg_matrix, full_matrices=False) + S_max = S.max() + S_inv = torch.where(S > sv_cutoff * S_max, 1.0 / S, + torch.zeros_like(S)) # truncate small SVs + b = Vh.T @ (S_inv * (U.T @ c)) # least-squares solution + + B_l[:, iq, iqp] = b + + return B_l, l_values + + +def transform_to_real_space(Bl_mats, l_values, dq=0.01): + """ + IN PROGRESS + dq should be the size of an individual pixel. Default conversion for now is 0.01 angstrom^-1/pixel. + """ + # Equation 12, 13 + # for each l: + # apply the discrete spherical Bessel transform (DSBT) + # once for q→r and once for q'→r' + # include the (-1)^l factor from Eq. 13 + # → shape = (l, r, r') + + # Step one is to define q + q = torch.arange(0, Bl_mats.shape[1]) * dq + r = torch.reciprocal(q) + real_Bl = torch.zeros(Bl_mats.shape) # EDIT: Should be Bl.shape or Bl_mats.shape??? + + """EDIT: It's range(len()) not just len()""" + for l in range(len(l_values)): + """EDIT: data type specification again""" + Bl = Bl_mats[l].to(dtype=torch.float64) # The corresponding q x q' matrix + + # TODO: Understand why size is r, q + arg = 2 * torch.pi * torch.outer(r, q) # Shape len(r) x len(q) + """EDIT: data type specification AND numpy to torch conversion""" + jl = torch.from_numpy(spherical_jn(l_values[l], arg)).to(dtype=torch.float64) + + # Representing DSBT (eq 12) as a transformation matrix "sbessel" + sbessel = 4 * torch.pi * jl * (q**2) * dq + real_Bl[l] = sbessel @ Bl @ sbessel.T * (-1) ** l_values[l] + + return real_Bl + + +def reconstruct_PADF(real_Bl, l_values, Na): + """ + Reconstruct the pair-angle distribution function from B_l(r, r') + For each theta: + - Sum Pl(cos theta) times B_l() over all l + - Multiply by n_alpha * 2 pi + + NOTE: Theta will go from 0 to 180 + """ + + """EDIT: Change the order of padf from theta, r, r' to r, r', theta""" + padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180)) + theta = np.linspace(0, 179, 180) + cos_theta = np.cos(theta) + chosen_l_values = l_values[1:] + + # Sum over all l + for l in range(len(chosen_l_values)): # skipping l = 0 + """ + EDIT: The coeffs array needs to be as long as the highest l-value, although it might be best to just use + eval_legendre() from scipy.special because this avoids the coeffs array which is not necessary for our + purposes. + """ + coeffs = np.zeros(chosen_l_values[-1] + 1) + coeffs[chosen_l_values[l]] = 1 + """EDIT: Make Pl a torch tensor""" + Pl = torch.tensor(legval(cos_theta, coeffs)) + Bl = real_Bl[l] + padf += Bl[:, :, np.newaxis] * Pl[np.newaxis, np.newaxis, :] + print(padf.size()) + + padf *= 2 * torch.pi * Na + return padf \ No newline at end of file From 19b7a604825ec5086ac90311d2f26174b770d785 Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Fri, 17 Jul 2026 14:26:26 -0700 Subject: [PATCH 11/45] bug fixes in reconstruct_PADF: deg/rad & Bl matrices off by one --- src/quantem/diffraction/PDFs_3batch.py | 297 +++++++++++++++++++++++++ src/quantem/diffraction/padf.py | 9 +- src/quantem/diffraction/test.py | 3 - 3 files changed, 302 insertions(+), 7 deletions(-) create mode 100644 src/quantem/diffraction/PDFs_3batch.py diff --git a/src/quantem/diffraction/PDFs_3batch.py b/src/quantem/diffraction/PDFs_3batch.py new file mode 100644 index 000000000..8fb4bb968 --- /dev/null +++ b/src/quantem/diffraction/PDFs_3batch.py @@ -0,0 +1,297 @@ +import numpy as np +import time + +from scipy.spatial import KDTree +from datetime import timedelta + +try: + import cupy as cp +except (ImportError, ModuleNotFoundError): + cp = np + + +class PDF3B(object): + + def __init__(self, device="cpu", v=1): + if isinstance(device, int): + self._xp = cp + cp.cuda.runtime.setDevice(device) + elif device.lower() == "cpu": + self._xp = np + self.device = device + self._v = v + return + + def pdf3B( + self, + atoms, + dr=0.1, + dtheta=1, + hist_r_max=20, + skip=1, + batch_size=1, + v=None, + pbcs=None, + subpixel_weights=True, + ): + xp = self._xp + stime = time.perf_counter() + v = self._v if v is None else v + vprint = print if v >= 1 else lambda *a, **k: None + if skip == None: + skip = 1 + if pbcs is None: + pbcs = atoms.get_pbc() + self.pbcs = pbcs + + bbox_np = np.array(atoms.cell[(0, 1, 2), (0, 1, 2)]) + bbox = xp.array(bbox_np) + pbcs_np = np.copy(pbcs) + pbcs = xp.array(pbcs) + positions = xp.array(atoms.positions) + positions_np = np.array(atoms.positions) # for KD tree + + vprint(f"Cell size (A): {bbox_np}") + # vprint(f"max dist possible between two points with full pbcs: {np.sqrt(3*(bbox_np.max()/2)**2):.2f} A") + vprint(f"Using a max radius of {hist_r_max} A") + + ### get center positions that aren't within r_max of a boundary without pbcs + goods = np.ones(len(positions_np)).astype("bool") + for i, p in enumerate(pbcs_np): + if p: + continue + goods *= (positions_np[:, i] > hist_r_max) & ( + positions_np[:, i] < (bbox_np[i] - hist_r_max) + ) + center_inds = np.where(goods)[0] + + ### KD tree for getting neighbors, cpu cuz faster + start_KD = time.perf_counter() + bbox_np_pbcs = bbox_np * pbcs_np + if np.any( + np.round(positions_np.max(axis=0), 9) >= np.round(bbox_np, 9) + ): # cant have atom right on cell edge + for i in range(len(pbcs)): + if bbox_np_pbcs[i] != 0: + bbox_np_pbcs += 1e-9 + tree_all = KDTree(positions_np, copy_data=True, boxsize=bbox_np_pbcs) + center_inds_skip = center_inds[::skip] + tree_centers = KDTree( + positions_np[center_inds_skip], copy_data=True, boxsize=bbox_np_pbcs + ) + inds_all = tree_centers.query_ball_tree(tree_all, hist_r_max) + inds_all = [xp.array(i) for i in inds_all] + end_KD = time.perf_counter() + vprint(f"KDTree calc time: {end_KD - start_KD:.1e} s") + + ### Histogram coordinates + hist_theta = xp.arange(0.0, 180 + dtheta, dtheta) + hist_r = xp.arange(0.0, hist_r_max + dr, dr) + num_bins_r = hist_r.shape[0] + num_bins_theta = hist_theta.shape[0] + hist_sig = xp.zeros((num_bins_theta, num_bins_r, num_bins_r)) + + ### Density + cell = xp.array(atoms.cell) + volume = xp.abs(xp.sum(cell[:, 0] * xp.cross(cell[:, 1], cell[:, 2]))) + dens = positions.shape[0] / volume + + ### making big arrays that will be filled + natoms_dens = (4 / 3 * xp.pi * hist_r_max**3) * dens + maxval_n = int(1.25 * natoms_dens**2) + vals = xp.zeros((3, maxval_n * batch_size)).astype("int") + maxinds = max([len(i) for i in inds_all]) + inds2 = xp.zeros((batch_size, maxinds)).astype("int") + if subpixel_weights: + weights_full = xp.empty(maxval_n * batch_size) + weights = weights_full + else: + weights_full = None + weights = None + + if hist_r_max > 15: + split_bincount = True + off_inds = xp.triu_indices(maxinds, k=1) + else: + split_bincount = False + off_inds = xp.where(~xp.eye(maxinds, dtype=bool)) + + vprint(f"Num total atoms in sim = {len(positions)}") + if not np.all(pbcs): + vprint(f"Num non-edge atoms = {len(center_inds)}") + if skip != 1: + vprint( + f"Skip = {skip}, so calculating using {len(center_inds_skip)} atoms as centers" + ) + # vprint(f'atomic density = {dens:.3} atoms / A^3') + vprint("Final shape will be: ", hist_sig.shape) + + for a0 in range(0, len(center_inds_skip), batch_size): + b0 = min(a0 + batch_size, len(center_inds_skip)) + batch_center_inds = center_inds_skip[a0:b0] + bsize = len(batch_center_inds) + bnum_inds = [len(inds) for inds in inds_all[a0:b0]] + for i in range(bsize): + inds2[i, : bnum_inds[i]] = inds_all[a0 + i] + + vecs = self._get_vecs_pbcs( + positions[batch_center_inds], + positions[inds2[:bsize]], + bbox=bbox, + pbcs=pbcs, + ) + for i in range(bsize): + vecs[i, bnum_inds[i] :] = 0 + + drs = xp.sqrt(xp.sum(vecs**2, axis=-1)) + + thetas_full = self._get_thetas_all(vecs, vecs, deg=True) + thetas = thetas_full[:, off_inds[0], off_inds[1]] + thetas = thetas[:bsize].ravel() + + dr1s = drs[:, off_inds[0]] + dr2s = drs[:, off_inds[1]] + dr1s = dr1s[:bsize].ravel() + dr2s = dr2s[:bsize].ravel() + + r_ind1 = dr1s / dr + r_ind2 = dr2s / dr + theta_ind = thetas / dtheta + + if subpixel_weights: + ### this isn't perfect, doesn't do corners + r_floor1 = xp.floor(r_ind1).astype("int") + dr_ind1 = r_ind1 - r_floor1 + + r_floor2 = xp.floor(r_ind2).astype("int") + dr_ind2 = r_ind2 - r_floor2 + + theta_floor = xp.floor(theta_ind).astype("int") + dtheta_ind = theta_ind - theta_floor + + else: + r_floor1 = xp.round(r_ind1).astype("int") + r_floor2 = xp.round(r_ind2).astype("int") + theta_floor = xp.round(theta_ind).astype("int") + + good_vals = (r_floor1 > 1e-9) & (r_floor2 > 1e-9) & (theta_floor > 0) & (theta_floor < 180) + nvals = good_vals.sum() + vals[0, :nvals] = theta_floor[good_vals] + vals[1, :nvals] = r_floor2[good_vals] + vals[2, :nvals] = r_floor1[good_vals] + if subpixel_weights: + weights_full[:nvals] = ( + dtheta_ind[good_vals] + dr_ind2[good_vals] + dr_ind1[good_vals] + ) / 3 + weights = weights_full[:nvals] + + ### Because taking triu, have to do this twice + ### and doing bincount twice with half indices seems to be ~10% faster than + ### once with twice as many (for a 20A cutoff), but slower if < 15 A + hist_sig += self._bincountdd( + vals[:, :nvals], + (num_bins_theta, num_bins_r, num_bins_r), + weights=weights, + ) + if split_bincount: + vals[[1,2]] = vals[[2,1]] + hist_sig += self._bincountdd( + vals[:, :nvals], + (num_bins_theta, num_bins_r, num_bins_r), + weights=weights, + ) + + + hist_sig /= len(center_inds_skip) + + gr = hist_sig.copy() + r1 = hist_r[1:][None, None, ...] + r2 = hist_r[1:][None, ..., None] + th = hist_theta[1:-1, None, None] + gr[1:-1, 1:, 1:] /= ( + dens**2 + * dr**2 + * 8 # if all off diag indices + # * 4 # if triu + * xp.pi**2 + * r1**2 + * r2**2 + * xp.sin(xp.deg2rad(th)) + * np.deg2rad(dtheta) + ) + + ### required because dividing by sin(theta) + gr[-1] = 0 + gr[0] = 0 + gr[:, 0] = 0 + gr[:, :, 0] = 0 + + vprint("-- done --") + ttime = time.perf_counter() - stime + vprint( + f"Total time (h:m:s) {str(timedelta(seconds=round(ttime,3))).rstrip('0')}" + ) + vprint(f"Center atoms per sec: {len(center_inds_skip) / ttime:.1f}\n") + return gr + + def _get_vecs_pbcs(self, points, pointslists, bbox, pbcs=[1, 1, 1]): + xp = self._xp + if np.any(pbcs): + assert xp.all(xp.min(pointslists, axis=1) >= 0) + assert xp.all(xp.max(pointslists, axis=1) <= bbox) + assert xp.issubdtype( + pointslists, float + ), f"pointslists type: {pointslists.dtype}" + dif = pointslists - points[:, None] + for i, ind in enumerate(pbcs): + if ind: + dif[:, :, i] = ( + xp.mod(dif[:, :, i] + bbox[i] * 0.5, bbox[i]) - bbox[i] * 0.5 + ) + return dif + + def _bincountdd(self, vals, nbins, weights=None): + # based on xp.histogramdd + """ + vals: array shape (N, D) + weights: array shape N + nbins: (D,) tuple (nbinsz, nbinsy, nbinsx) + based on xp.histogramdd + """ + xp = self._xp + vals = xp.floor(vals).astype("int") + xy = xp.ravel_multi_index(vals, nbins, mode="wrap") + minlength = int(np.prod(nbins)) + if weights is not None: + hist = xp.bincount(xy, weights=1 - weights, minlength=minlength).reshape( + nbins + ) + xy = xp.ravel_multi_index(vals + 1, nbins, mode="wrap") + hist += xp.bincount(xy, weights=weights, minlength=minlength).reshape(nbins) + else: + hist = xp.bincount(xy, minlength=minlength).reshape(nbins) + return hist + + def _get_thetas_all(self, v1, v2, deg=True): + """ + get angles between all vectors, outer product style + """ + xp = self._xp + v11 = self._norm_vecs(v1) + v21 = self._norm_vecs(v2) + mmul = xp.transpose(xp.matmul(v11, xp.transpose(v21, (0, 2, 1))), (0, 2, 1)) + theta = xp.arccos(xp.clip(mmul, -1.0, 1.0)) + if deg: + theta = xp.rad2deg(theta) + return theta + + def _norm_vecs(self, v): + xp = self._xp + if xp.ndim(v) == 1: + return v / xp.sqrt(xp.sum(v**2, axis=-1))[..., None] + mags = xp.sqrt(xp.sum(v**2, axis=-1)) + bads = xp.where(mags == 0) + mags[bads] = 1 + normed = v / mags[..., None] + normed[bads] = 0 + return normed diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 9c56e78ee..815b5e053 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -51,7 +51,7 @@ def __init__(self, self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled, dtype=torch.float64) self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr) self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) - self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], self.ds.shape[0] * self.ds.shape[1]) + self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam def rescale_intensity(self, data: Polar4dstem | Dataset4dstem | None = None, @@ -172,10 +172,11 @@ def reconstruct_PADF(self, real_Bl, l_values, Na): - Sum Pl(cos theta) times B_l() over all l - Multiply by n_alpha * 2 pi - NOTE: Theta will go from 0 to 180 + NOTE: Theta will go from 0 to pi + EDIT: Na should be number of atoms not number of dps """ padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180)) - theta = np.linspace(0, 179, 180) + theta = np.linspace(0, np.pi, 180) cos_theta = np.cos(theta) chosen_l_values = l_values[1:] @@ -184,7 +185,7 @@ def reconstruct_PADF(self, real_Bl, l_values, Na): coeffs = np.zeros(chosen_l_values[-1] + 1) coeffs[chosen_l_values[l]] = 1 Pl = torch.tensor(legval(cos_theta, coeffs)) - Bl = real_Bl[l] + Bl = real_Bl[l + 1] # skipping l = 0 padf += Bl[:, :, np.newaxis] * Pl[np.newaxis, np.newaxis, :] padf *= 2 * torch.pi * Na diff --git a/src/quantem/diffraction/test.py b/src/quantem/diffraction/test.py index 798c07c2f..e69de29bb 100644 --- a/src/quantem/diffraction/test.py +++ b/src/quantem/diffraction/test.py @@ -1,3 +0,0 @@ -import numpy as np - -print(np.linspace(0, 180, 181)) \ No newline at end of file From b96480d46ed89e9928955ac455d9c020bfac4d4f Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Tue, 21 Jul 2026 16:35:32 -0700 Subject: [PATCH 12/45] re-implementing ang correlation via fourier correlation --- src/quantem/diffraction/PDFs_3batch.py | 6 +++--- src/quantem/diffraction/padf.py | 26 +++++++++++--------------- src/quantem/diffraction/test.py | 0 3 files changed, 14 insertions(+), 18 deletions(-) delete mode 100644 src/quantem/diffraction/test.py diff --git a/src/quantem/diffraction/PDFs_3batch.py b/src/quantem/diffraction/PDFs_3batch.py index 8fb4bb968..d2c4b7ecc 100644 --- a/src/quantem/diffraction/PDFs_3batch.py +++ b/src/quantem/diffraction/PDFs_3batch.py @@ -239,9 +239,9 @@ def _get_vecs_pbcs(self, points, pointslists, bbox, pbcs=[1, 1, 1]): if np.any(pbcs): assert xp.all(xp.min(pointslists, axis=1) >= 0) assert xp.all(xp.max(pointslists, axis=1) <= bbox) - assert xp.issubdtype( - pointslists, float - ), f"pointslists type: {pointslists.dtype}" + # assert xp.issubdtype( + # pointslists, float + # ), f"pointslists type: {pointslists.dtype}" dif = pointslists - points[:, None] for i, ind in enumerate(pbcs): if ind: diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 815b5e053..b299f5c9c 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -48,10 +48,10 @@ def __init__(self, # TODO: we get rho and fq from sample identity, so either the user provides them, we find them in the dataset, or we look them up based on sample identity self.polar_rescaled = self.rescale_intensity(self.polar, rho=1, fq=1) - self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled, dtype=torch.float64) - self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr) - self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) - self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam + self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) + # self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr) + # self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) + # self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam def rescale_intensity(self, data: Polar4dstem | Dataset4dstem | None = None, @@ -76,10 +76,9 @@ def fit_phi_0(self): pass - def compute_avg_angular_correlation(self, data, dtype=torch.float64): + def compute_avg_angular_correlation(self, data): """ - Equation 8: angular cross correlation function - WARNING this part is computationally expensive, takes 20 seconds on my laptop + Equation 8: angular cross correlation implemented via Fourier correlation theorem """ scan_row, scan_col, phi, r = data.shape @@ -88,13 +87,9 @@ def compute_avg_angular_correlation(self, data, dtype=torch.float64): dphi = 2.0 * torch.pi / phi # A small change in angle - C_sum = torch.zeros(phi, r, r) - - for a in range(N_alpha): - g = g_all[a] - for d in range(phi): - shifted = torch.roll(g, shifts=-d, dims=0) # shift by d pixels UP - C_sum[d] += g.T @ shifted + G = torch.fft.rfft(g_all, dim=1) # Fourier transform along phi axis + P = torch.einsum('afi,afj->fij', G.conj(), G) # Outer product of r between G and its conjugate, summed over all N_alpha + C_sum = torch.fft.irfft(P, n=phi, dim=0) C_avg = (C_sum / N_alpha) * dphi return C_avg @@ -113,6 +108,7 @@ def extract_Bl_matrices(self, C_avg, l_max=20, sv_cutoff=0.05): B_l = torch.zeros((Nl, Nq, Nqp)) cos_dphi = np.cos(dphi) + # TODO: Vectorize for iq in range(Nq): for iqp in range(Nqp): # Handled for each q, qp pair by for loops @@ -161,7 +157,7 @@ def transform_to_real_space(self, Bl_mats, l_values, dq=0.01): # Representing DSBT (eq 12) as a transformation matrix "sbessel" sbessel = 4 * torch.pi * jl * (q**2) * dq # Applying it twice (once along each axis) - real_Bl[l] = sbessel @ Bl @ sbessel.T * (-1) ** l_values[l] + real_Bl[l] = sbessel @ Bl @ sbessel.T * (-1)**l_values[l] return real_Bl diff --git a/src/quantem/diffraction/test.py b/src/quantem/diffraction/test.py deleted file mode 100644 index e69de29bb..000000000 From 3cbf0c8cafccd23403adcb05c24b5d29c18d2e65 Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Wed, 22 Jul 2026 12:10:23 -0700 Subject: [PATCH 13/45] vectorized extract_Bl_matrices --- src/quantem/diffraction/padf.py | 53 ++++++++++++++------------------- 1 file changed, 22 insertions(+), 31 deletions(-) diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index b299f5c9c..1749385d2 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -2,27 +2,23 @@ import torch import numpy as np from numpy.typing import NDArray -from numpy.polynomial.legendre import legval -from scipy.special import spherical_jn +from scipy.special import eval_legendre, spherical_jn from quantem.core.datastructures.dataset4dstem import Dataset4dstem from quantem.core.datastructures.polar4dstem import Polar4dstem from quantem.core.io.serialize import AutoSerialize +from quantem.core.io.serialize import load from quantem.diffraction.polar_transform import ( - find_origin_angular_descent, find_origin_angular_grid, polar_transform, ) -from quantem.core.io.serialize import load -from pathlib import Path - class PairAngleDistributionFunction(AutoSerialize): """ Compute pair-angle distribution function for a given 4D-STEM dataset. Run the following pipeline: - pad = PairAngleDistributionFunction(ds) + padf = PairAngleDistributionFunction(ds) 1. find_origin_angular_grid(ds) 2. polar_transform(ds, origin_array=self.origin) 3. rescale_intensity(self.polar, rho=1, fq=1) @@ -65,9 +61,11 @@ def rescale_intensity(self, - phi_0 (dependent on experimental parameters) Most likely we will need to fit phi_0 * N_a term via another function + + Handles dtype conversion to float64 """ # TODO: Look at the Martin code to see how he calculated atoms in beam and phi_0 - intensity = data.tensor + intensity = data.tensor.to(dtype=torch.float64) rescaled_intensity = intensity / (rho * fq**2) # / still need to include atoms in beam and phi return rescaled_intensity @@ -108,29 +106,22 @@ def extract_Bl_matrices(self, C_avg, l_max=20, sv_cutoff=0.05): B_l = torch.zeros((Nl, Nq, Nqp)) cos_dphi = np.cos(dphi) - # TODO: Vectorize - for iq in range(Nq): - for iqp in range(Nqp): # Handled for each q, qp pair by for loops - - # data vector - c = C_avg[:, iq, iqp].to(torch.float64) - - # build matrix (including 4pi term here) - leg_matrix = np.zeros((Nphi, Nl)) # Ndphi by Nl - for i in range(Nl): - coeffs = np.zeros(Nl) - coeffs[i] = 1.0 - leg_matrix[:, i] = legval(cos_dphi, coeffs) / (4 * np.pi) - leg_matrix = torch.as_tensor(leg_matrix, dtype=torch.float64) - - # SVD solve (from Claude) - U, S, Vh = torch.linalg.svd(leg_matrix, full_matrices=False) - S_max = S.max() - S_inv = torch.where(S > sv_cutoff * S_max, 1.0 / S, torch.zeros_like(S)) - b = Vh.T @ (S_inv * (U.T @ c)) - - B_l[:, iq, iqp] = b - return B_l, l_values + C_flat = C_avg.reshape(Nphi, Nq * Nqp) + + # Build matrix + l_values = l_values.reshape(1, Nl) + cos_dphi = cos_dphi.reshape(Nphi, 1) + leg_matrix = eval_legendre(l_values, cos_dphi) # Shape due to broadcasting (Nphi, Nl) + + U, S, Vh = torch.linalg.svd(leg_matrix, full_matrices=False) + S_max = S.max() + S_inv = torch.where(S > sv_cutoff * S_max, 1.0 / S, torch.zeros_like(S)) + + tmp = U.T @ C_flat + tmp = S_inv.unsqueeze(1) * tmp + B_flat = Vh.T @ tmp + + return B_flat.reshape(Nl, Nq, Nqp), l_values # TODO: It is mentioned in the paper that a 5% cutoff for SVD is necessary because of "conditioning." When you make a notebook/visuals, demonstrate the need for this by playing with the cutoff. # TODO: Compare each function to the martin code to see the difference/similarity or understand the repo better From 2e82886045b58143855c2a3600035c2c6cdf6cd0 Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Wed, 22 Jul 2026 15:50:09 -0700 Subject: [PATCH 14/45] bug fix in extract_Bl_matrices --- src/quantem/diffraction/padf.py | 15 +++-- src/quantem/diffraction/trash.py | 105 ------------------------------- 2 files changed, 7 insertions(+), 113 deletions(-) delete mode 100644 src/quantem/diffraction/trash.py diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 1749385d2..9fd494c1a 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -45,7 +45,7 @@ def __init__(self, self.polar_rescaled = self.rescale_intensity(self.polar, rho=1, fq=1) self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) - # self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr) + self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr) # self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) # self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam @@ -100,18 +100,18 @@ def extract_Bl_matrices(self, C_avg, l_max=20, sv_cutoff=0.05): # Ignore odd l-terms, Friedel symmetry? # 5% SVD cutoff Nphi, Nq, Nqp = C_avg.shape - dphi = np.linspace(0, 2 * np.pi, Nphi + 1)[:-1] # Include every dphi using torch.linspace array rather than loop to faciiltate legval - l_values = list(range(0, l_max, 2)) # This is for the even-only case. + dphi = torch.linspace(0, 2 * torch.pi, Nphi + 1, dtype=torch.float64)[:-1] # Ranges from [0, 2pi) + l_values = torch.arange(0, l_max, 2) # Even only Nl = len(l_values) B_l = torch.zeros((Nl, Nq, Nqp)) - cos_dphi = np.cos(dphi) + cos_dphi = torch.cos(dphi) C_flat = C_avg.reshape(Nphi, Nq * Nqp) # Build matrix - l_values = l_values.reshape(1, Nl) - cos_dphi = cos_dphi.reshape(Nphi, 1) - leg_matrix = eval_legendre(l_values, cos_dphi) # Shape due to broadcasting (Nphi, Nl) + L = l_values.reshape(1, Nl) + X = cos_dphi.reshape(Nphi, 1) + leg_matrix = eval_legendre(L, X) # Shape due to broadcasting (Nphi, Nl) U, S, Vh = torch.linalg.svd(leg_matrix, full_matrices=False) S_max = S.max() @@ -123,7 +123,6 @@ def extract_Bl_matrices(self, C_avg, l_max=20, sv_cutoff=0.05): return B_flat.reshape(Nl, Nq, Nqp), l_values - # TODO: It is mentioned in the paper that a 5% cutoff for SVD is necessary because of "conditioning." When you make a notebook/visuals, demonstrate the need for this by playing with the cutoff. # TODO: Compare each function to the martin code to see the difference/similarity or understand the repo better def transform_to_real_space(self, Bl_mats, l_values, dq=0.01): diff --git a/src/quantem/diffraction/trash.py b/src/quantem/diffraction/trash.py deleted file mode 100644 index 47a144c3b..000000000 --- a/src/quantem/diffraction/trash.py +++ /dev/null @@ -1,105 +0,0 @@ -def test_extract_Bl_matrices(C_avg, l_max=20, sv_cutoff=0.05): - Nphi, Nq, Nqp = C_avg.shape - """EDIT: Dropped the last element from cos_dphi""" - dphi = np.linspace(0, 2 * np.pi, Nphi + 1)[:-1] # Include every dphi using torch.linspace array rather than loop to faciiltate legval - l_values = list(range(0, l_max, 2)) # This is for the even-only case. Q: Why even only? - Nl = len(l_values) - B_l = torch.zeros(Nl, Nq, Nqp) - cos_dphi = np.cos(dphi) - - for iq in range(Nq): - for iqp in range(Nqp): # Handled for each q, qp pair by for loops - - # data vector - """EDIT: Apparently dtype specification was very important or else you get float * double * float""" - c = C_avg[:, iq, iqp].to(torch.float64) - - # build legendre matrix (including 4pi term here) - """EDIT: np.zeros takes in a tuple, not two separate parameters!""" - leg_matrix = np.zeros((Nphi, Nl)) # Ndphi by Nl - for i in range(Nl): - coeffs = np.zeros(Nl) - coeffs[i] = 1.0 - leg_matrix[:, i] = legval(cos_dphi, coeffs) / (4 * np.pi) - """EDIT: dtype specification again""" - leg_matrix = torch.as_tensor(leg_matrix, dtype=torch.float64) - - # SVD solve (from Claude) - U, S, Vh = torch.linalg.svd(leg_matrix, full_matrices=False) - S_max = S.max() - S_inv = torch.where(S > sv_cutoff * S_max, 1.0 / S, - torch.zeros_like(S)) # truncate small SVs - b = Vh.T @ (S_inv * (U.T @ c)) # least-squares solution - - B_l[:, iq, iqp] = b - - return B_l, l_values - - -def transform_to_real_space(Bl_mats, l_values, dq=0.01): - """ - IN PROGRESS - dq should be the size of an individual pixel. Default conversion for now is 0.01 angstrom^-1/pixel. - """ - # Equation 12, 13 - # for each l: - # apply the discrete spherical Bessel transform (DSBT) - # once for q→r and once for q'→r' - # include the (-1)^l factor from Eq. 13 - # → shape = (l, r, r') - - # Step one is to define q - q = torch.arange(0, Bl_mats.shape[1]) * dq - r = torch.reciprocal(q) - real_Bl = torch.zeros(Bl_mats.shape) # EDIT: Should be Bl.shape or Bl_mats.shape??? - - """EDIT: It's range(len()) not just len()""" - for l in range(len(l_values)): - """EDIT: data type specification again""" - Bl = Bl_mats[l].to(dtype=torch.float64) # The corresponding q x q' matrix - - # TODO: Understand why size is r, q - arg = 2 * torch.pi * torch.outer(r, q) # Shape len(r) x len(q) - """EDIT: data type specification AND numpy to torch conversion""" - jl = torch.from_numpy(spherical_jn(l_values[l], arg)).to(dtype=torch.float64) - - # Representing DSBT (eq 12) as a transformation matrix "sbessel" - sbessel = 4 * torch.pi * jl * (q**2) * dq - real_Bl[l] = sbessel @ Bl @ sbessel.T * (-1) ** l_values[l] - - return real_Bl - - -def reconstruct_PADF(real_Bl, l_values, Na): - """ - Reconstruct the pair-angle distribution function from B_l(r, r') - For each theta: - - Sum Pl(cos theta) times B_l() over all l - - Multiply by n_alpha * 2 pi - - NOTE: Theta will go from 0 to 180 - """ - - """EDIT: Change the order of padf from theta, r, r' to r, r', theta""" - padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180)) - theta = np.linspace(0, 179, 180) - cos_theta = np.cos(theta) - chosen_l_values = l_values[1:] - - # Sum over all l - for l in range(len(chosen_l_values)): # skipping l = 0 - """ - EDIT: The coeffs array needs to be as long as the highest l-value, although it might be best to just use - eval_legendre() from scipy.special because this avoids the coeffs array which is not necessary for our - purposes. - """ - coeffs = np.zeros(chosen_l_values[-1] + 1) - coeffs[chosen_l_values[l]] = 1 - """EDIT: Make Pl a torch tensor""" - Pl = torch.tensor(legval(cos_theta, coeffs)) - Bl = real_Bl[l] - padf += Bl[:, :, np.newaxis] * Pl[np.newaxis, np.newaxis, :] - print(padf.size()) - - padf *= 2 * torch.pi * Na - return padf \ No newline at end of file From 2730270e2fedb56d5ef79f41fa64ade186c91836 Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Fri, 24 Jul 2026 12:22:55 -0700 Subject: [PATCH 15/45] r no longer dependend on q in transform_to_real_space --- src/quantem/diffraction/padf.py | 14 +++++++++----- 1 file changed, 9 insertions(+), 5 deletions(-) diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 9fd494c1a..4bdbf5a26 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -3,6 +3,7 @@ import numpy as np from numpy.typing import NDArray from scipy.special import eval_legendre, spherical_jn +from numpy.polynomial.legendre import legval from quantem.core.datastructures.dataset4dstem import Dataset4dstem from quantem.core.datastructures.polar4dstem import Polar4dstem @@ -46,8 +47,8 @@ def __init__(self, self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr) - # self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) - # self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam + self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) + self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam def rescale_intensity(self, data: Polar4dstem | Dataset4dstem | None = None, @@ -133,11 +134,14 @@ def transform_to_real_space(self, Bl_mats, l_values, dq=0.01): # Equation 12, 13 # apply bessel transform twice for each l # → shape = (l, r, r') - + r_min = 0.0 + r_max = 20.0 + r_step = 0.02 + # Step one is to define q q = torch.arange(0, Bl_mats.shape[1]) * dq - r = torch.reciprocal(q) - real_Bl = torch.zeros(Bl_mats.shape) + r = torch.arange(r_min, r_max, r_step) # Line 797 in polar.py implements this well. Use the same meshgrid in 798 + real_Bl = torch.zeros((Bl_mats.shape[0], r.shape[0], r.shape[0])) for l in range(len(l_values)): Bl = Bl_mats[l].to(dtype=torch.float64) # The corresponding q x q' matrix From 2c1ec421b9744aea0a0561de973370f40c65aa69 Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Thu, 30 Jul 2026 10:04:10 -0700 Subject: [PATCH 16/45] updated simple plot axes --- src/quantem/diffraction/padf.py | 34 ++++++++++++++++++--------------- 1 file changed, 19 insertions(+), 15 deletions(-) diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 4bdbf5a26..feecd87bc 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -182,23 +182,27 @@ def reconstruct_PADF(self, real_Bl, l_values, Na): return padf def simple_plot(self): - """ - Plot the r = r' diagonal of the PADF as a 2D map over (r, theta). + """ + Plot the r = r' diagonal of the PADF as a 2D map with + r = r' on the x-axis and theta on the y-axis. - Uses self.padf, which should be a (Nr, Nr, Ntheta) ndarray - (from reconstruct_PAD()) defined in __init__. - """ - # Take padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) - diag = np.einsum("iik->ik", self.padf) + Uses self.padf, which should be a (Nr, Nr, Ntheta) ndarray + (from reconstruct_PAD()) defined in __init__. + """ + # Take padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) + diag = np.einsum("iik->ik", self.padf) + + # Transpose so rows = theta, columns = r -> (Ntheta, Nr) + diag = diag.T - fig, ax = plt.subplots(figsize=(7, 5)) - im = ax.pcolormesh(diag, shading="auto") - fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") + fig, ax = plt.subplots(figsize=(7, 5)) + im = ax.pcolormesh(diag, shading="auto") + fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") - ax.set_xlabel(r"$\theta$ index") - ax.set_ylabel("r = r' index") - ax.set_title("PADF diagonal") - fig.tight_layout() + ax.set_xlabel("r = r' index") + ax.set_ylabel(r"$\theta$ index") + ax.set_title("PADF diagonal") + fig.tight_layout() - return ax + return ax From 4df9d08370d6ed27e9c7a65060fa7a034b258b2b Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Mon, 10 Aug 2026 11:37:06 -0700 Subject: [PATCH 17/45] saving before plotting update --- src/quantem/diffraction/.vscode/settings.json | 4 +- src/quantem/diffraction/calibration.py | 797 ------------------ src/quantem/diffraction/ellipticity.py | 400 --------- src/quantem/diffraction/padf.py | 3 +- src/quantem/diffraction/padf_symfilter1.py | 238 ++++++ src/quantem/diffraction/padf_symfilter2.py | 231 +++++ src/quantem/diffraction/polar.py | 5 + 7 files changed, 478 insertions(+), 1200 deletions(-) delete mode 100644 src/quantem/diffraction/calibration.py delete mode 100644 src/quantem/diffraction/ellipticity.py create mode 100644 src/quantem/diffraction/padf_symfilter1.py create mode 100644 src/quantem/diffraction/padf_symfilter2.py diff --git a/src/quantem/diffraction/.vscode/settings.json b/src/quantem/diffraction/.vscode/settings.json index 4b5a29442..de70d3b44 100644 --- a/src/quantem/diffraction/.vscode/settings.json +++ b/src/quantem/diffraction/.vscode/settings.json @@ -1,4 +1,4 @@ { - "python-envs.defaultEnvManager": "ms-python.python:conda", - "python-envs.defaultPackageManager": "ms-python.python:conda" + "python-envs.defaultEnvManager": "ms-python.python:venv", + "python-envs.defaultPackageManager": "ms-python.python:pip" } \ No newline at end of file diff --git a/src/quantem/diffraction/calibration.py b/src/quantem/diffraction/calibration.py deleted file mode 100644 index 21eab3698..000000000 --- a/src/quantem/diffraction/calibration.py +++ /dev/null @@ -1,797 +0,0 @@ -from __future__ import annotations - -from typing import Any - -import matplotlib.pyplot as plt -import numpy as np -import torch -from numpy.typing import NDArray - -from quantem.core.datastructures.dataset2d import Dataset2d -from quantem.core.datastructures.dataset4dstem import Dataset4dstem -from quantem.core.datastructures.polar4dstem import Polar4dstem -from quantem.diffraction.polar import PairDistributionFunction -from quantem.diffraction.polar_transform import find_origin_angular_grid, polar_transform - - -def _arpls_baseline( - y: torch.Tensor, lam: float = 0.1, ratio: float = 1e-2, niter: int = 100 -) -> torch.Tensor: - """Asymmetrically reweighted penalized least squares baseline. - - Smoothness-regularised lower-envelope estimator that handles both - polycrystalline (many sharp peaks on a flat baseline) and amorphous - (one broad diffuse halo) profile topologies. Iteratively reweights - points that sit above the current estimate so peaks get pushed away - instead of absorbed. - - Reference: Baek, Park, Ahn & Choo, Analyst 140 (2015) 250-257. - - Parameters - ---------- - y : torch.Tensor - 1D signal to fit a baseline under. - lam : float - Smoothness penalty. Larger -> stiffer baseline. - ratio : float - Convergence tolerance on the relative change in weights. - niter : int - Maximum iterations. - - Returns - ------- - z : torch.Tensor - Smooth baseline, same length, device, and dtype-promoted-to-float64 - as ``y``. - """ - y = y.to(dtype=torch.float64) - L = y.numel() - device = y.device - # 2nd-difference operator D is L x (L-2); column j has [1, -2, 1] at - # rows j, j+1, j+2. H = lam * D @ D.T is the smoothness penalty (band-5). - col = torch.arange(L - 2, device=device) - D = torch.zeros(L, L - 2, device=device, dtype=torch.float64) - D[col, col] = 1.0 - D[col + 1, col] = -2.0 - D[col + 2, col] = 1.0 - H = lam * (D @ D.T) - diag_rows = torch.arange(L, device=device) - - w = torch.ones(L, device=device, dtype=torch.float64) - z = y.clone() - for _ in range(niter): - A = H.clone() - A[diag_rows, diag_rows] += w # A = diag(w) + H, symmetric PD - z = torch.linalg.solve(A, w * y) - d = y - z - dn = d[d < 0] - if dn.numel() == 0: - break - m = dn.mean() - s = dn.std(correction=0) # ddof=0 to match numpy default - # Asymmetric reweighting; clip the logistic exponent so peaks don't overflow - expo = torch.clamp(2.0 * (d - (2.0 * s - m)) / (s + 1e-12), -50.0, 50.0) - wt = 1.0 / (1.0 + torch.exp(expo)) - if torch.linalg.norm(w - wt) / (torch.linalg.norm(w) + 1e-12) < ratio: - break - w = wt - return z - - -def _find_peaks_torch( - y: torch.Tensor, - distance: int | None = None, - prominence: float | None = None, - height: float | None = None, -) -> torch.Tensor: - """Torch-native 1D peak detection. - - Strict interior local maxima (``y[i] > y[i-1] AND y[i] > y[i+1]``), - optionally filtered by absolute ``height``, minimum sample - ``distance`` between peaks (greedy: smaller peaks dropped first to - enforce the separation), and topographic ``prominence`` (vertical - distance from the peak to the higher of the two surrounding valley - minima, where each valley min is the running min from the peak to - the nearest higher peak or array edge). - - Matches the semantics of ``scipy.signal.find_peaks`` for the - filter set used by :meth:`ReciprocalCalibration.find_peaks`. - Plateau peaks (equal-valued runs surrounded by lower values) are - NOT detected — strict ``>`` only. - - Parameters - ---------- - y : 1D torch.Tensor - Signal to search. - distance : int or None - Minimum samples between peaks. - prominence : float or None - Minimum topographic prominence. - height : float or None - Minimum absolute peak value. - - Returns - ------- - peaks : 1D torch.Tensor (long), peak indices sorted ascending. - """ - n = y.numel() - if n < 3: - return torch.empty(0, dtype=torch.long, device=y.device) - - # Pull to Python floats. The data is small (typical radial profile - # length is ~100), so a tight Python loop over a few candidates is - # cheaper than any vectorized prominence scheme. The scipy version - # we're replacing is also CPU-bound for the same reason. - vals = y.detach().cpu().tolist() - - # Strict interior local maxima - candidates = [ - i for i in range(1, n - 1) if vals[i] > vals[i - 1] and vals[i] > vals[i + 1] - ] - - # Absolute height - if height is not None: - candidates = [i for i in candidates if vals[i] >= height] - - # Minimum separation — greedy by descending height, drop smaller - # candidates within `distance` of any already-kept candidate - if distance is not None and candidates: - by_height = sorted(candidates, key=lambda i: vals[i], reverse=True) - kept: list[int] = [] - for c in by_height: - if all(abs(c - k) >= distance for k in kept): - kept.append(c) - candidates = sorted(kept) - - # Prominence — walk left/right from each candidate tracking running min - # until a strictly higher value (or edge) is hit - if prominence is not None and candidates: - kept_prom: list[int] = [] - for c in candidates: - h = vals[c] - left_min = h - j = c - 1 - while j >= 0: - v = vals[j] - if v > h: - break - if v < left_min: - left_min = v - j -= 1 - right_min = h - j = c + 1 - while j < n: - v = vals[j] - if v > h: - break - if v < right_min: - right_min = v - j += 1 - if h - max(left_min, right_min) >= prominence: - kept_prom.append(c) - candidates = kept_prom - - return torch.tensor(candidates, dtype=torch.long, device=y.device) - -# --------------------------------------------------------------------------- -# Reference material data -# {material: (lattice_param_Å, {hkl_label: h²+k²+l²})} -# Au -- FCC, allowed when (h,k,l) all same parity. -# Si -- diamond cubic, allowed when (h,k,l) all odd, OR all even with -# h+k+l = 4n. The 200, 222, 420 FCC reflections are forbidden. -# --------------------------------------------------------------------------- -MATERIALS: dict[str, tuple[float, dict[str, int]]] = { - "Au": ( - 4.0782, - { - "111": 3, "200": 4, "220": 8, "311": 11, - "222": 12, "400": 16, "331": 19, "420": 20, - }, - ), - "Si": ( - 5.4307, - { - "111": 3, "220": 8, "311": 11, "400": 16, - "331": 19, "422": 24, "511": 27, "440": 32, - "531": 35, "620": 40, - }, - ), -} - - -def _q_values_for(material: str) -> dict[str, float]: - """Return q = sqrt(h²+k²+l²) / a for each allowed reflection of `material`.""" - if material not in MATERIALS: - raise ValueError( - f"Unknown material '{material}'. Available: {sorted(MATERIALS)}" - ) - a, reflections = MATERIALS[material] - return {hkl: np.sqrt(n) / a for hkl, n in reflections.items()} - - -class ReciprocalCalibration: - """Calibrate reciprocal-space pixel size from polycrystalline diffraction rings. - - This class determines the pixel-to-inverse-Angstrom conversion factor by - matching detected ring positions in a radial profile to known d-spacings - of a reference material (currently Au FCC). - - Construction is enforced through :meth:`from_data`. - """ - - _token = object() - - def __init__( - self, - pdf: PairDistributionFunction, - radial_profile: NDArray, - radial_pixel_positions: NDArray, - mean_dp: NDArray, - input_data: Any | None = None, - _token: object | None = None, - ): - if _token is not self._token: - raise RuntimeError( - "Direct instantiation of ReciprocalCalibration is not allowed. " - "Use ReciprocalCalibration.from_data() to instantiate this class." - ) - - self._pdf = pdf # used for fit_bg - self.radial_profile = radial_profile # 1-D, length = n_radial_bins - self.radial_pixel_positions = radial_pixel_positions # 1-D pixel indices - self.mean_dp = mean_dp # 2-D mean diffraction pattern - self.input_data = input_data - - # Set after fit_bg() / find_peaks() - self.background: NDArray | None = None - self.peak_indices: NDArray | None = None - self.peak_pixel_positions: NDArray | None = None - - # Set after calibrate() - self.pixel_size: float | None = None # 1/Å per pixel - self.material: str | None = None - self.matched_hkl: list[str] | None = None - self.matched_q: NDArray | None = None - self.matched_pixel_positions: NDArray | None = None - - @classmethod - def from_data( - cls, - data: Dataset4dstem | Dataset2d | Polar4dstem, - *, - mask_realspace: NDArray | None = None, - voltage_kV: float = 200, - find_origin: bool = True, - origin_row: float | None = None, - origin_col: float | None = None, - radial_min: float = 0.0, - radial_max: float | None = None, - radial_step: float = 1.0, - num_annular_bins: int = 180, - ellipse_params: tuple[float, float, float] | None = None, - ) -> "ReciprocalCalibration": - """Create a ReciprocalCalibration from diffraction data. - - Parameters - ---------- - data - A Dataset4dstem, Dataset2d, or Polar4dstem. - mask_realspace - Boolean array (scan_y, scan_x) selecting which probe positions - to include when averaging diffraction patterns. Only used with - Dataset4dstem input. - voltage_kV - Accelerating voltage in kV (stored for metadata / future use). - find_origin, origin_row, origin_col - Origin-finding parameters forwarded to the polar transform. - radial_min, radial_max, radial_step, num_annular_bins - Polar-transform parameters. - ellipse_params - Elliptical-distortion correction ``(a, b, theta_deg)`` applied - during origin finding and the polar transform. Must match the - value passed to the PDF's polar transform so the calibration is - measured on the same (ellipse-corrected) geometry. - """ - # Polar4dstem input: use directly - if isinstance(data, Polar4dstem): - polar = data - mean_dp = None - else: - # Dataset2d: wrap as 1×1 4DSTEM - if isinstance(data, Dataset2d): - arr2d = data.array - arr4 = arr2d[None, None, ...] - data = Dataset4dstem.from_array( - array=arr4, - name=f"{data.name}_as4dstem" - if getattr(data, "name", None) - else "cal_4dstem_from_2d", - origin=np.concatenate( - [np.zeros(2, dtype=float), np.asarray(data.origin, dtype=float)] - ), - sampling=np.concatenate( - [np.ones(2, dtype=float), np.asarray(data.sampling, dtype=float)] - ), - units=["pixels", "pixels"] + list(data.units), - signal_units=data.signal_units, - ) - mask_realspace = None # irrelevant for 1×1 scan - # Dataset4dstem: compute mean DP then polar transform - if not isinstance(data, Dataset4dstem): - raise TypeError( - f"Unsupported data type {type(data).__name__}. " - "Expected Dataset4dstem, Dataset2d, or Polar4dstem." - ) - arr4d_t = ( - torch.from_numpy(np.ascontiguousarray(data.array)) - if data.array is not None - else data.tensor - ) - if mask_realspace is not None: - n_pos = int(mask_realspace.sum()) - print(f"Averaging {n_pos} masked diffraction patterns ...") - mask_t = torch.from_numpy(np.asarray(mask_realspace, dtype=bool)).to( - arr4d_t.device - ) - mean_dp = arr4d_t[mask_t].mean(dim=0, dtype=torch.float64).cpu().numpy() - else: - n_pos = data.shape[0] * data.shape[1] - print(f"Averaging all {n_pos} diffraction patterns ...") - mean_dp = arr4d_t.mean(dim=(0, 1), dtype=torch.float64).cpu().numpy() - mean_ds = Dataset4dstem.from_array( - array=mean_dp[None, None, ...], - name="calibration_mean_dp", - origin=np.array([0.0, 0.0, data.origin[2], data.origin[3]]), - sampling=np.array([1.0, 1.0, data.sampling[2], data.sampling[3]]), - units=["pixels", "pixels"] + list(data.units[2:]), - signal_units=data.signal_units, - ) - - if find_origin: - origin_array = find_origin_angular_grid( - mean_ds, - ellipse_params=ellipse_params, - num_annular_bins=num_annular_bins, - radial_min=radial_min, - radial_max=radial_max, - radial_step=radial_step, - ) - else: - ny, nx = mean_dp.shape - if origin_row is None: - origin_row = (ny - 1) / 2.0 - if origin_col is None: - origin_col = (nx - 1) / 2.0 - origin_array = np.zeros((1, 1, 2), dtype=float) - origin_array[0, 0, 0] = origin_row - origin_array[0, 0, 1] = origin_col - - polar = polar_transform( - mean_ds, - origin_array=origin_array, - ellipse_params=ellipse_params, - num_annular_bins=num_annular_bins, - radial_min=radial_min, - radial_max=radial_max, - radial_step=radial_step, - ) - - # --- Build a PairDistributionFunction for background fitting -------- - # PairDistributionFunction.from_data does not accept a Polar4dstem - # directly, so construct via the class-level token. - pdf_input = data if isinstance(data, Dataset4dstem) else None - pdf = PairDistributionFunction( - polar=polar, - input_data=pdf_input, - _token=PairDistributionFunction._token, - ) - pdf.calculate_radial_mean() - - # --- Compute radial profile (azimuthal average) --------------------- - radial_profile = pdf.Ik.detach().cpu().numpy() - n_r = radial_profile.shape[0] - radial_pixel_positions = np.arange(n_r, dtype=float) - - if mean_dp is None: - mean_dp = np.zeros((1, 1), dtype=float) - - return cls( - pdf=pdf, - radial_profile=radial_profile, - radial_pixel_positions=radial_pixel_positions, - mean_dp=mean_dp, - input_data=data, - _token=cls._token, - ) - - def fit_bg( - self, - radial_min: int = 0, - lam: float = 0.001, - ) -> NDArray: - """Estimate the smooth background under the diffraction rings. - - Runs arPLS (asymmetrically reweighted penalized least squares; - see :func:`_arpls_baseline`) in log-space on - ``radial_profile[radial_min:]``. Below ``radial_min`` the - background is set equal to the profile, so the residual is ~0 - there and the central-beam region can't dominate peak finding. - Tunable via one smoothness parameter. - - Parameters - ---------- - radial_min : int - Below this pixel index, ``bg = radial_profile`` (no fit). - lam : float - arPLS smoothness penalty. Larger -> stiffer baseline. - - Returns - ------- - bg : NDArray - Background curve, same length as :attr:`radial_profile`. - """ - profile = np.asarray(self.radial_profile, dtype=float) - bg = profile.copy() - # arPLS in log space so the steep central-beam decay is tractable - log_seg = np.log(np.clip(profile[radial_min:], 0.0, None) + 1.0) - log_seg_t = torch.from_numpy(np.ascontiguousarray(log_seg)) - bg_seg = (torch.exp(_arpls_baseline(log_seg_t, lam=lam)) - 1.0).cpu().numpy() - bg[radial_min:] = bg_seg - bg = np.clip(bg, 0.0, None) - self.background = bg - return self.background - - def find_peaks( - self, - radial_min: int = 0, - n_peaks: int | None = None, - distance: int | None = None, - prominence: float | None = None, - height: float | None = None, - ) -> NDArray: - """Detect peaks in the background-subtracted radial profile. - - Runs :func:`_find_peaks_torch` on ``radial_profile - background``, - then refines each detected peak to sub-pixel precision via a - parabolic vertex fit to its three nearest samples. The integer - bins remain in :attr:`peak_indices` (for residual-value lookups); - the refined positions go in :attr:`peak_pixel_positions` and feed - :meth:`calibrate`'s least-squares fit. - - If :attr:`background` has not been fit yet, calls :meth:`fit_bg` - with defaults first. - - Parameters - ---------- - radial_min - Ignore the profile below this pixel index (skip the central beam). - n_peaks - If provided, keep only the first ``n_peaks`` detected peaks - (the innermost rings). Useful when the detector finds more - candidates than you want to use for the calibration fit. - distance, prominence, height - Passed through to :func:`_find_peaks_torch` (scipy-equivalent - semantics). - - Returns - ------- - peak_positions : NDArray - Sub-pixel-refined peak positions (same units as - :attr:`radial_pixel_positions`). - """ - if self.background is None: - self.fit_bg(radial_min=radial_min) - residual = self.radial_profile - self.background - - # zero out central beam region - residual[:radial_min] = 0.0 - self._residual = residual - - residual_t = torch.from_numpy(np.ascontiguousarray(residual)) - indices_t = _find_peaks_torch( - residual_t, - distance=distance, - prominence=prominence, - height=height, - ) - indices = indices_t.cpu().numpy() - indices = indices[indices >= radial_min] - if n_peaks is not None: - indices = indices[:n_peaks] - - # Sub-pixel parabolic refinement: vertex offset of the parabola - # through residual[idx-1], residual[idx], residual[idx+1]. Clipped - # to [-1, 1] bin steps to guard against flat / inverted curvature. - positions = self.radial_pixel_positions - step = float(positions[1] - positions[0]) if len(positions) > 1 else 1.0 - refined = np.empty_like(indices, dtype=float) - for k, idx in enumerate(indices): - base = float(positions[idx]) - if 0 < idx < len(residual) - 1: - y0 = float(residual[idx - 1]) - y1 = float(residual[idx]) - y2 = float(residual[idx + 1]) - denom = y0 - 2.0 * y1 + y2 - if denom != 0.0: - delta = 0.5 * (y0 - y2) / denom - delta = max(-1.0, min(1.0, delta)) - else: - delta = 0.0 - refined[k] = base + delta * step - else: - refined[k] = base - - self.peak_indices = indices - self.peak_pixel_positions = refined - return refined - - # ------------------------------------------------------------------ - # Calibration - # ------------------------------------------------------------------ - def calibrate( - self, - material: str = "Au", - peak_indices: NDArray | list[int] | None = None, - ) -> float: - """Match detected peaks to known ring positions and fit pixel size. - - Performs a zero-intercept least-squares fit: ``q = pixel_size * r_pixels`` - to determine the reciprocal-space pixel size in 1/Å per pixel. - - Parameters - ---------- - material - Reference material; must be a key in :data:`MATERIALS` - (currently ``'Au'`` or ``'Si'``). - peak_indices - Indices of peaks (into :attr:`radial_profile`) to use for the - fit. If ``None``, uses all peaks found by :meth:`find_peaks`. - - Returns - ------- - pixel_size : float - Calibrated pixel size in 1/Å per pixel. - """ - if peak_indices is not None: - peak_pix = self.radial_pixel_positions[np.asarray(peak_indices)] - elif self.peak_pixel_positions is not None: - peak_pix = self.peak_pixel_positions - else: - raise RuntimeError( - "No peaks available. Call find_peaks() first or provide peak_indices." - ) - - q_ref = _q_values_for(material) - self.material = material - hkl_labels = list(q_ref.keys()) - q_vals = np.array(list(q_ref.values())) - sorted_order = np.argsort(q_vals) - q_sorted = q_vals[sorted_order] - hkl_sorted = [hkl_labels[i] for i in sorted_order] - peak_pix = np.sort(peak_pix.astype(float)) - n_peaks = len(peak_pix) - n_ref = len(q_sorted) - - # Try all ordered subsets of n_peaks reflections from the n_ref - # available and find the assignment with the lowest relative fit - # residual. Since both peaks and q-values are sorted, we only - # need to consider combinations (order-preserving). - from itertools import combinations - - best_rss = np.inf - best_combo = None - for combo in combinations(range(n_ref), n_peaks): - q_sel = q_sorted[list(combo)] - # Zero-intercept LS: pixel_size = (r · q) / (r · r) - ps = float(np.dot(peak_pix, q_sel) / np.dot(peak_pix, peak_pix)) - if ps <= 0: - continue - # Relative residual sum of squares - predicted_q = ps * peak_pix - rss = float(np.sum(((predicted_q - q_sel) / q_sel) ** 2)) - if rss < best_rss: - best_rss = rss - best_combo = combo - if best_combo is None: - raise RuntimeError("Could not find a valid peak-to-reflection matching.") - - matched_q = q_sorted[list(best_combo)] - matched_hkl = [hkl_sorted[i] for i in best_combo] - pixel_size = float(np.dot(peak_pix, matched_q) / np.dot(peak_pix, peak_pix)) - self.pixel_size = pixel_size - self.matched_hkl = matched_hkl - self.matched_q = matched_q - self.matched_pixel_positions = peak_pix - # Print matching for user verification - print(f"Calibrated pixel size: {pixel_size:.6f} 1/Å/px") - print("Peak matching:") - for r_px, hkl, q in zip(peak_pix, matched_hkl, matched_q): - q_pred = pixel_size * r_px - print(f" r={r_px:.1f} px → {hkl} (q={q:.4f}, predicted={q_pred:.4f})") - return pixel_size - - def apply(self, dataset: Dataset4dstem) -> None: - """Update a Dataset4dstem's diffraction-axis sampling and units.""" - if self.pixel_size is None: - raise RuntimeError("No calibration available. Call calibrate() first.") - new_sampling = list(dataset.sampling) - new_sampling[2] = self.pixel_size - new_sampling[3] = self.pixel_size - dataset.sampling = new_sampling - new_units = list(dataset.units) - new_units[2] = "1/Angstrom" - new_units[3] = "1/Angstrom" - dataset.units = new_units - - # ------------------------------------------------------------------ - # Plotting helpers - # ------------------------------------------------------------------ - def plot_radial_profile(self) -> plt.Figure: - """Plot the radial profile, background fit, and residual with peaks. - - Peak markers sit at the sub-pixel-refined positions stored in - :attr:`peak_pixel_positions` (their y-values are linearly - interpolated onto the underlying curve). If :meth:`calibrate` has - been run, each marker is annotated with the matched ``{hkl}``. - """ - has_bg = self.background is not None - n_axes = 2 if has_bg else 1 - - fig, axes = plt.subplots(1, n_axes, figsize=(5 * n_axes, 4)) - if n_axes == 1: - axes = [axes] - - marker_kw = dict(s=40, color="red", alpha=0.5, edgecolors="none", - zorder=5, label="Peaks") - ann_kw = dict(textcoords="offset points", xytext=(5, 6), - fontsize=7, color="red", alpha=0.9) - - def _annotate_peaks(ax, y_curve): - if self.peak_pixel_positions is None: - return - peak_y = np.interp(self.peak_pixel_positions, - self.radial_pixel_positions, y_curve) - ax.scatter(self.peak_pixel_positions, peak_y, **marker_kw) - if self.matched_hkl is not None: - for r_sub, hkl, y in zip(self.peak_pixel_positions, - self.matched_hkl, peak_y): - ax.annotate(f"{{{hkl}}}", (r_sub, y), **ann_kw) - - # --- Left panel: raw profile + background --- - ax = axes[0] - ax.plot(self.radial_pixel_positions, self.radial_profile, label="I(r)") - if has_bg: - ax.plot(self.radial_pixel_positions, self.background, "--", label="Background") - _annotate_peaks(ax, self.radial_profile) - ax.set_yscale("log") - ax.set_xlabel("Radial position (pixels)") - ax.set_ylabel("Mean intensity") - ax.set_title("Radial profile + background") - ax.legend() - - # --- Right panel: residual with peaks --- - if has_bg: - ax2 = axes[1] - residual = getattr(self, "_residual", self.radial_profile - self.background) - ax2.plot(self.radial_pixel_positions, residual, label="I(r) - B(r)") - _annotate_peaks(ax2, residual) - ax2.axhline(0, color="gray", linewidth=0.5) - ax2.set_xlabel("Radial position (pixels)") - ax2.set_ylabel("Residual intensity") - ax2.set_title("Background-subtracted profile") - ax2.legend() - - fig.tight_layout() - return fig - - def plot_trial_pixel_sizes( - self, - trial_sizes: list[float] | None = None, - material: str | None = None, - ) -> plt.Figure: - """Overlay expected ring positions on the residual for several - trial pixel sizes so the user can visually identify the correct - matching. - - Parameters - ---------- - trial_sizes - List of pixel sizes (1/Å per pixel) to try. Defaults to - three values spanning a plausible range. - material - Reference material whose rings are overlaid. Defaults to - ``self.material`` (set by :meth:`calibrate`) or ``'Au'``. - """ - if trial_sizes is None: - trial_sizes = [0.018, 0.026, 0.040] - - if material is None: - material = self.material or "Au" - q_ref = _q_values_for(material) - residual = getattr(self, "_residual", self.radial_profile) - r_max = float(self.radial_pixel_positions[-1]) - - n = len(trial_sizes) - fig, axes = plt.subplots(1, n, figsize=(5 * n, 4)) - if n == 1: - axes = [axes] - - for ax, ps in zip(axes, trial_sizes): - ax.plot(self.radial_pixel_positions, residual, "b-", linewidth=1) - if self.peak_pixel_positions is not None: - peak_y = np.interp(self.peak_pixel_positions, - self.radial_pixel_positions, residual) - ax.scatter( - self.peak_pixel_positions, - peak_y, - s=40, - color="red", - alpha=0.5, - edgecolors="none", - zorder=5, - ) - y_top = max(residual.max() * 1.05, 1.0) - for hkl, qv in q_ref.items(): - r_exp = qv / ps - if r_exp < r_max: - ax.axvline(r_exp, color="green", alpha=0.5, linestyle="--", linewidth=1) - ax.text( - r_exp + 0.5, - y_top * 0.92, - hkl, - rotation=90, - va="top", - fontsize=7, - color="green", - ) - ax.set_title(f"pixel_size = {ps} 1/\u00c5/px") - ax.set_xlabel("Radial position (pixels)") - ax.set_ylabel("Residual intensity") - ax.set_xlim(0, r_max) - ax.set_ylim(None, y_top) - - fig.tight_layout() - return fig - - def plot_calibration_fit(self) -> plt.Figure: - """Plot the linear calibration fit and residuals. - - Left panel shows matched peak positions vs. known q-values with - the zero-intercept linear fit. Right panel shows the residuals - (measured q - predicted q) for each matched reflection. - """ - if self.pixel_size is None or self.matched_q is None: - raise RuntimeError("No calibration available. Call calibrate() first.") - - r = self.matched_pixel_positions - q_pred = self.pixel_size * r - residuals = self.matched_q - q_pred - - fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4)) - - # --- Left: linear fit --- - ax1.scatter(r, self.matched_q, zorder=3, label="Matched peaks") - r_fit = np.linspace(0, r.max() * 1.1, 100) - ax1.plot( - r_fit, self.pixel_size * r_fit, "--", label=f"Fit: {self.pixel_size:.6f} 1/\u00c5/px" - ) - for i, hkl in enumerate(self.matched_hkl): - ax1.annotate(hkl, (r[i], self.matched_q[i]), textcoords="offset points", xytext=(5, 5)) - ax1.set_xlabel("Radial position (pixels)") - ax1.set_ylabel("q (1/\u00c5)") - ax1.set_title("Calibration fit") - ax1.legend() - - # --- Right: residuals --- - ax2.stem(r, residuals, markerfmt="o", basefmt="k-") - for i, hkl in enumerate(self.matched_hkl): - ax2.annotate( - hkl, (r[i], residuals[i]), textcoords="offset points", xytext=(5, 5), fontsize=8 - ) - ax2.axhline(0, color="gray", linewidth=0.5) - ax2.set_xlabel("Radial position (pixels)") - ax2.set_ylabel("\u0394q (1/\u00c5)") - ax2.set_title("Residuals (measured - predicted)") - - fig.tight_layout() - return fig diff --git a/src/quantem/diffraction/ellipticity.py b/src/quantem/diffraction/ellipticity.py deleted file mode 100644 index 2ce237523..000000000 --- a/src/quantem/diffraction/ellipticity.py +++ /dev/null @@ -1,400 +0,0 @@ -import numpy as np -import torch -import torch.nn.functional as F -from numpy.typing import NDArray - -from quantem.core.datastructures.dataset2d import Dataset2d -from quantem.core.datastructures.dataset4dstem import Dataset4dstem - - -# --------------------------------------------------------------------------- -# Main API -# --------------------------------------------------------------------------- - - -def fit_elliptical_distortion( - data: Dataset4dstem | Dataset2d, - center: tuple[float, float], - fit_radii: tuple[float, float], - p0: torch.Tensor | None = None, - mask: NDArray | torch.Tensor | None = None, - device: str = "cpu", - max_iter: int = 500, - lr: float = 0.5, - write_metadata: bool = True, -) -> dict: - """Fit elliptical distortion from the mean diffraction pattern. - - Fits a central-beam Gaussian + a two-sided ("Janus") elliptical ring + a constant background to the - mean diffraction pattern. The ellipse is parameterized in - **canonical-conic** form ``(A, B, C)`` — which stays smooth through - the circular point (no theta degeneracy at low ellipticity). - - Model - ----- - Let ``u_col = col - col0`` and ``u_row = row - row0`` be the pixel - offsets from the fitted center. The ring is the level set of the - form: - - A·u_col² + B·u_col·u_row + C·u_row² = 1 - - with semiaxes ``a`` and ``b`` derived from (A, B, C) (see - :func:`convert_ellipse_params`) and mean ring radius - ``R = (a + b) / 2``. Define an ellipse-adapted radial coordinate ρ - that is 0 at the center, R on the ring, and grows linearly along every ray from - the center. Iso-ρ contours are concentric ellipses similar to - the ring. In pixel units: - - ρ = R · √(A·u_col² + B·u_col·u_row + C·u_row²) - - For a circle, ρ reduces to the ordinary Euclidean radius - ``√(u_col² + u_row²)``. The model intensity is: - - f = I0 · exp(-ρ² / (2·σ0²)) # central beam - + I1 · exp(-(ρ - R)² / (2·σ1²)) · Θ(R - ρ) # inner ring half - + I1 · exp(-(ρ - R)² / (2·σ2²)) · Θ(ρ - R) # outer ring half - + c_bkgd - - where Θ is the Heaviside step. Inner and outer halves share the same - amplitude I1 and meet continuously at ρ = R, but with different - half-widths σ1 (inside the ring) and σ2 (outside). The 11 fit - parameters ``(I0, I1, σ0, σ1, σ2, c_bkgd, row0, col0, A, B, C)`` are - described under :func:`_amorphous_ring_model`. The central beam - shares the elliptical metric, so its iso-intensity contours are - ellipses concentric with the ring. - - Algorithm - --------- - The mean DP is reduced once over all scan positions (or used - directly for 2D input). The fit minimizes the loss over pixels in - the annulus ``fit_radii``, using torch Adam. Softplus + conic rescale gives us GPU-compatible gradients - and built-in positivity. - - Parameters - ---------- - data : Dataset4dstem or Dataset2d - ``Dataset4dstem`` is averaged over scan - positions to produce the mean DP. ``Dataset2d`` (e.g. SAED) is - used directly. - center : (float, float) - Approximate (row, col) center; refined to sub-pixel by the fit - via the ``row0, col0`` offset parameters. - fit_radii : (float, float) - Inner and outer radii in pixels of the annular fit region. The - annulus should bracket the ring and exclude the central beam. - p0 : Tensor or None - Optional initial guess for all 11 model parameters in the order - ``(I0, I1, σ0, σ1, σ2, c_bkgd, row0, col0, A, B, C)`` (see - :func:`_amorphous_ring_model`). If ``None``, all 11 are - auto-estimated. - mask : ndarray, Tensor, or None - Optional boolean mask of shape ``(n_row, n_col)``. - ``True`` = exclude pixel. - device : str - Torch device for the fit. - max_iter : int - Number of Adam iterations. - lr : float - Adam learning rate. - write_metadata : bool - If True (default), stamp ``data.metadata["ellipticity"]`` with - the fitted ``(a, b, theta_deg)``. - - Returns - ------- - dict with keys: - "ellipse_params" : (a, b, theta_deg) - Semimajor axis, semiminor axis (``a ≥ b``), and tilt of the - semimajor axis measured from the column axis toward the row - axis, in degrees, in the range ``[-90, 90)``. Usable - directly as the ``ellipse_params`` argument of - :func:`polar_transform`. - "center" : (row, col) - Refined center = ``center + (row0, col0)``. - "fit_params" : Tensor of shape (11,) - All 11 fitted parameters in canonical-conic form. Recover - ``(a, b, θ_rad)`` from the last three with - :func:`convert_ellipse_params`. - "cost" : float - Sum of squared residuals over the fit region at the - best-loss iterate. - """ - # Compute mean DP over all scan positions - data_t = ( - torch.from_numpy(np.ascontiguousarray(data.array)) - if data.array is not None - else data.tensor - ) - if data_t.ndim == 4: - mean_dp = data_t.mean(dim=(0, 1), dtype=torch.float32) - elif data_t.ndim == 2: - mean_dp = data_t.to(torch.float32) - else: - raise ValueError( - f"Got data with shape {tuple(data.shape)}. Expected a 2D or 4D-STEM dataset." - ) - - dp_t = mean_dp.to(device) - n_row, n_col = dp_t.shape - center_row, center_col = float(center[0]), float(center[1]) - r_inner, r_outer = float(fit_radii[0]), float(fit_radii[1]) - # Build coordinate grids relative to center - row_offsets = torch.arange(n_row, dtype=torch.float32, device=device) - center_row - col_offsets = torch.arange(n_col, dtype=torch.float32, device=device) - center_col - offset_row_grid, offset_col_grid = torch.meshgrid(row_offsets, col_offsets, indexing="ij") - r_grid = torch.sqrt(offset_col_grid**2 + offset_row_grid**2) - # Select pixels and data in annular region - annular_mask = (r_grid > r_inner) & (r_grid < r_outer) - if mask is not None: - if isinstance(mask, np.ndarray): - mask_t = torch.from_numpy(mask.astype(bool)).to(device) - else: - mask_t = mask.bool().to(device) - annular_mask = annular_mask & ~mask_t - offset_row_fit = offset_row_grid[annular_mask] - offset_col_fit = offset_col_grid[annular_mask] - val_fit = dp_t[annular_mask] - if val_fit.numel() == 0: - raise ValueError("No pixels in the fitting annulus. Check center and fit_radii.") - - # Auto-estimate initial parameters if not provided - if p0 is None: - # Radial integral (r-weighted) to find ring peak. - # Weighting by r suppresses the central beam contribution. - r_flat = r_grid[annular_mask] - # make a binned 1d hist to find ring peak - nbins = max(int(r_outer - r_inner), 10) - bin_step = (r_outer - r_inner) / nbins - bin_idx = ((r_flat - r_inner) / bin_step).long().clamp(0, nbins - 1) - radial_integral = torch.zeros(nbins, device=device).scatter_add_(0, bin_idx, val_fit) - # get ring peak's radius in pixels (bin center) - peak_idx = radial_integral.argmax().item() - R_init = r_inner + (peak_idx + 0.5) * bin_step - # set init param guesses - c_bkgd_init = max(float(val_fit.min()), 0.0) - near_ring = val_fit[(r_flat - R_init).abs() < 3.0] - if near_ring.numel() == 0: - raise ValueError( - f"No annulus pixels within 3 px of R_init={R_init:.1f}. " - "Annulus is too narrow or fit_radii is misaligned with the ring." - ) - I1_init = max(float(near_ring.mean()) - c_bkgd_init, 1.0) - I0_init = max(float(dp_t[int(center_row), int(center_col)]) - c_bkgd_init, 1.0) - # All sigmas in pixel units - sigma0_init = R_init * 0.3 - sigma1_init = R_init * 0.15 - sigma2_init = R_init * 0.2 - - A_init, B_init, C_init = convert_ellipse_params_r(R_init, R_init, 0.0) - p0 = torch.tensor( - [ - I0_init, - I1_init, - sigma0_init, - sigma1_init, - sigma2_init, - c_bkgd_init, - 0.0, # row0 offset (relative to provided center) - 0.0, # col0 offset - A_init, # conic A (init as circle of radius R_init) - B_init, # conic B - C_init, # conic C - ], - dtype=torch.float32, - device=device, - ) - else: - if isinstance(p0, np.ndarray): - p0 = torch.from_numpy(p0.astype(np.float32)).to(device) - p0 = p0.float().to(device) - - def _inv_softplus(x: float) -> float: - """Inverse of softplus: log(exp(x) - 1).""" - if x > 20.0: - return x - return float(np.log(np.expm1(x))) - - # Optimize an unconstrained raw, the live param is softplus(raw) > 0 to - # ensure positivity. Adam can step a param through zero, so this guard is needed. - _POS_IDX = [0, 1, 2, 3, 4, 5, 8, 10] # I0, I1, sigma0-2, c_bkgd, A, C - _CONIC_IDX = [8, 9, 10] # A, B, C - # Conic rescale by R0^2. The conic equation A·u²+B·uv+C·v² = 1 forces - # A,B,C ~ 1/R² physically, but LR is tuned for the larger params, so without - # this rescale (A,B,C) would barely move. We pick R0 from the initial - # circle init and hold it fixed during optimization to avoid feedback loops. - a0, b0, _ = convert_ellipse_params( - float(p0[8]), - float(p0[9]), - float(p0[10]), - ) - R2 = ((a0 + b0) / 2.0) ** 2 - raw = p0.clone() - for i in _CONIC_IDX: - raw[i] = raw[i] * R2 - for i in _POS_IDX: - raw[i] = _inv_softplus(max(float(raw[i]), 1e-6)) - raw = raw.requires_grad_(True) - - def _to_physical(raw_params: torch.Tensor) -> torch.Tensor: - """Map unconstrained raw params to physical params.""" - phys = raw_params.clone() - for i in _POS_IDX: - phys[i] = F.softplus(raw_params[i]) - for i in _CONIC_IDX: - phys[i] = phys[i] / R2 - return phys - - optimizer = torch.optim.Adam([raw], lr=lr) - # Track the best iterate seen - best_loss = float("inf") - best_raw = raw.detach().clone() - for _ in range(max_iter): - optimizer.zero_grad() - phys = _to_physical(raw) - model_vals = _amorphous_ring_model(phys, offset_row_fit, offset_col_fit) - loss = ((model_vals - val_fit) ** 2).mean() - lv = loss.item() - if lv < best_loss: - best_loss = lv - best_raw = raw.detach().clone() - loss.backward() - optimizer.step() - with torch.no_grad(): - # the canonical conic is an ellipse if B² < 4·A·C. - # A and C stay > 0 from softplus; clamping |B| < 2·√(A·C)·0.999 - # enforces B² < 4·A·C strictly. - A_hat = F.softplus(raw[8]) - C_hat = F.softplus(raw[10]) - B_hat_max = 2.0 * torch.sqrt(A_hat * C_hat) * 0.999 - raw[9].clamp_(-B_hat_max, B_hat_max) - # Extract final parameters - with torch.no_grad(): - final_params = _to_physical(best_raw) - final_loss = best_loss * val_fit.numel() - a_fit, b_fit, theta_fit_rad = convert_ellipse_params( - float(final_params[8]), - float(final_params[9]), - float(final_params[10]), - ) - theta_fit_deg = float(np.degrees(theta_fit_rad)) - # Normalize angle to [-90, 90) - theta_fit_deg = ((theta_fit_deg + 90.0) % 180.0) - 90.0 - # Refined center = nominal center + fitted offset - refined_row = center_row + float(final_params[6]) - refined_col = center_col + float(final_params[7]) - if write_metadata: - data.metadata["ellipticity"] = (a_fit, b_fit, theta_fit_deg) - return { - "ellipse_params": (a_fit, b_fit, theta_fit_deg), - "center": (refined_row, refined_col), - "fit_params": final_params, - "cost": final_loss, - } - - -def _amorphous_ring_model( - params: torch.Tensor, - offset_row: torch.Tensor, - offset_col: torch.Tensor, -) -> torch.Tensor: - """Evaluate a parametric amorphous ring diffraction model. - - The model consists of a central-beam Gaussian, an asymmetric Gaussian ring - (with separate inner and outer half-widths), and a constant background. - Both the central beam and the ring share an elliptical radial metric - given by ``A*x^2 + B*x*y + C*y^2 = 1`` (x = column offset, y = row offset - from the fitted center). - - Parameters - ---------- - params : torch.Tensor - 11 model parameters: (I0, I1, sigma0, sigma1, sigma2, c_bkgd, - row0, col0, A, B, C) where: - - I0: central beam peak intensity - - I1: ring peak intensity - - sigma0: central beam width in pixels - - sigma1: ring inner half-width in pixels - - sigma2: ring outer half-width in pixels - - c_bkgd: constant background - - row0, col0: center offsets from nominal center in pixels - - A, B, C: canonical conic parameters; the ring lies on - ``A*u_col^2 + B*u_col*u_row + C*u_row^2 = 1`` - offset_row : torch.Tensor - Row pixel offsets from the nominal center. - offset_col : torch.Tensor - Column pixel offsets from the nominal center. - - Returns - ------- - torch.Tensor - Model intensity values at each (offset_row, offset_col) position. - """ - I0, I1, sigma0, sigma1, sigma2, c_bkgd, row0, col0, A, B, C = params - # Shift coordinates by fitted center offset - u_col = offset_col - col0 - u_row = offset_row - row0 - # Ring radius in pixels = mean semiaxis; rescale the conic by R^2 so the - # elliptical radial coordinate r is in pixel units (r = R on the ring) - a, b = _ellipse_semiaxes(A, B, C) - ring_radius = (a + b) / 2.0 - r2 = ring_radius**2 * (A * u_col**2 + B * u_col * u_row + C * u_row**2) - r_elliptical = torch.sqrt(torch.clamp(r2, min=1e-12)) - # Central beam Gaussian in the shared elliptical metric - central = I0 * torch.exp(-r2 / (2.0 * sigma0**2)) - # Asymmetric ring: deviation from the ring radius, in pixel units - dr_pixels = r_elliptical - ring_radius - inner_mask = (dr_pixels < 0).float() - outer_mask = 1.0 - inner_mask - ring = I1 * ( - inner_mask * torch.exp(-(dr_pixels**2) / (2.0 * sigma1**2)) - + outer_mask * torch.exp(-(dr_pixels**2) / (2.0 * sigma2**2)) - ) - return central + ring + c_bkgd - - -# --------------------------------------------------------------------------- -# Helpers -# --------------------------------------------------------------------------- - - -def convert_ellipse_params(A: float, B: float, C: float) -> tuple[float, float, float]: - """Convert canonical-conic ellipse parameters to semiaxes and tilt.""" - val = np.sqrt((A - C) ** 2 + B**2) - b4a = B**2 - 4.0 * A * C - if B == 0: - theta = 0.0 if A < C else np.pi / 2.0 - else: - theta = np.arctan2((C - A - val), B) - a = -np.sqrt(-2.0 * b4a * (A + C + val)) / b4a - b = -np.sqrt(-2.0 * b4a * (A + C - val)) / b4a - a, b = max(a, b), min(a, b) - return float(a), float(b), float(theta) - - -def convert_ellipse_params_r(a: float, b: float, theta: float) -> tuple[float, float, float]: - """Convert ellipse semiaxes and tilt to canonical-conic parameters. - Inverse of :func:`convert_ellipse_params`. - """ - sin2, cos2 = np.sin(theta) ** 2, np.cos(theta) ** 2 - a2, b2 = a**2, b**2 - A = sin2 / b2 + cos2 / a2 - C = cos2 / b2 + sin2 / a2 - B = 2.0 * (b2 - a2) * np.sin(theta) * np.cos(theta) / (a2 * b2) - return float(A), float(B), float(C) - - -def _ellipse_semiaxes( - A: torch.Tensor, B: torch.Tensor, C: torch.Tensor -) -> tuple[torch.Tensor, torch.Tensor]: - """Differentiable semiaxis lengths of the conic ``A*x^2 + B*x*y + C*y^2 = 1``. - - Torch counterpart of the (a, b) part of :func:`convert_ellipse_params`, - used inside the fit model. The clamps guard the sqrt at the circular - point (where ``(A - C)**2 + B**2 == 0``) and keep the discriminant - strictly negative so gradients stay finite. - """ - val = torch.sqrt(torch.clamp((A - C) ** 2 + B**2, min=1e-24)) - b4a = torch.clamp(B**2 - 4.0 * A * C, max=-1e-24) - a = -torch.sqrt(torch.clamp(-2.0 * b4a * (A + C + val), min=1e-24)) / b4a - b = -torch.sqrt(torch.clamp(-2.0 * b4a * (A + C - val), min=1e-24)) / b4a - return a, b diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index feecd87bc..c0e66b9a3 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -65,6 +65,7 @@ def rescale_intensity(self, Handles dtype conversion to float64 """ + # TODO: Look at the Martin code to see how he calculated atoms in beam and phi_0 intensity = data.tensor.to(dtype=torch.float64) rescaled_intensity = intensity / (rho * fq**2) # / still need to include atoms in beam and phi @@ -93,7 +94,7 @@ def compute_avg_angular_correlation(self, data): C_avg = (C_sum / N_alpha) * dphi return C_avg - def extract_Bl_matrices(self, C_avg, l_max=20, sv_cutoff=0.05): + def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05): # Equation 9, 10, 11 # for each l: # build the linear system relating C to B_l(q, q') diff --git a/src/quantem/diffraction/padf_symfilter1.py b/src/quantem/diffraction/padf_symfilter1.py new file mode 100644 index 000000000..88d6a5d8f --- /dev/null +++ b/src/quantem/diffraction/padf_symfilter1.py @@ -0,0 +1,238 @@ +import matplotlib.pyplot as plt +import torch +import numpy as np +from numpy.typing import NDArray +from scipy.special import eval_legendre, spherical_jn +from numpy.polynomial.legendre import legval + +from quantem.core.datastructures.dataset4dstem import Dataset4dstem +from quantem.core.datastructures.polar4dstem import Polar4dstem +from quantem.core.io.serialize import AutoSerialize +from quantem.core.io.serialize import load +from quantem.diffraction.polar_transform import ( + find_origin_angular_grid, + polar_transform, +) + +class PairAngleDistributionFunction(AutoSerialize): + """ + Compute pair-angle distribution function for a given 4D-STEM dataset. + + Run the following pipeline: + padf = PairAngleDistributionFunction(ds) + 1. find_origin_angular_grid(ds) + 2. polar_transform(ds, origin_array=self.origin) + 3. rescale_intensity(self.polar, rho=1, fq=1) + 4. compute_avg_angular_correlation(self.polar_rescaled, dtype=torch.float64) + 5. extract_Bl_matrices(self.ang_corr) + 6. transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) + 7. reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], self.ds.shape[0] * self.ds.shape[1]) + + """ + def __init__(self, + ds: Dataset4dstem = None, + origin: NDArray | None = None, + polar_ds: Polar4dstem | None = None, + ang_corr: torch.Tensor | None = None, + Bl_mats = None + ): + super().__init__() + + self.ds = ds + self.origin = origin if origin is not None else find_origin_angular_grid(ds) + self.polar = polar_ds if polar_ds is not None else polar_transform(ds, origin_array=self.origin) + + # TODO: we get rho and fq from sample identity, so either the user provides them, we find them in the dataset, or we look them up based on sample identity + self.polar_rescaled = self.rescale_intensity(self.polar, rho=1, fq=1) + + self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) + print(type(self.ang_corr)) + self.ang_corr_filtered = self.apply_centrosymmetric_filter(self.ang_corr) + self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr_filtered) + self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) + self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam + + def rescale_intensity(self, + data: Polar4dstem | Dataset4dstem | None = None, + rho: float | int | None = None, + fq: float | int | None = None): + """ + Equation 7: Take the raw intensity and divide by the following factors + - Mean number density (rho) + - Mean atomic scattering factor squared (f(q)^2) + - Number of atoms in the beam (N_a) + - phi_0 (dependent on experimental parameters) + + Most likely we will need to fit phi_0 * N_a term via another function + + Handles dtype conversion to float64 + """ + # TODO: Look at the Martin code to see how he calculated atoms in beam and phi_0 + intensity = data.tensor.to(dtype=torch.float64) + rescaled_intensity = intensity / (rho * fq**2) # / still need to include atoms in beam and phi + return rescaled_intensity + + # phi_0 is not measureable, make a function to fit. (edit: Maybe not necessary) + def fit_phi_0(self): + pass + + + def compute_avg_angular_correlation(self, data): + """ + Equation 8: angular cross correlation implemented via Fourier correlation theorem + """ + + scan_row, scan_col, phi, r = data.shape + g_all = data.reshape(scan_row * scan_col, phi, r) # Flatten grid of dps to one dimension, makes for loop simpler + N_alpha = g_all.shape[0] # Number of dps we have = number of configurations (N_alpha) + + dphi = 2.0 * torch.pi / phi # A small change in angle + + G = torch.fft.rfft(g_all, dim=1) # Fourier transform along phi axis + P = torch.einsum('afi,afj->fij', G.conj(), G) # Outer product of r between G and its conjugate, summed over all N_alpha + C_sum = torch.fft.irfft(P, n=phi, dim=0) + + C_avg = (C_sum / N_alpha) * dphi + return C_avg + + def apply_centrosymmetric_filter(self, C_avg, half_width_deg: float = 5.0) -> torch.Tensor: + """ + Remove the shot-noise self-correlation spike near Delta-phi = 0 by + replacing those angular bins with the corresponding bins near + Delta-phi = pi, exploiting the centrosymmetry of the true signal + (Theta(r, r', pi - theta) = Theta(r, r', theta)). + + C_avg : tensor of shape (Nphi, Nq, Nqp), angular axis first, with + Delta-phi sampled uniformly over [0, 2*pi). + half_width_deg : angular half-width around 0 (and, by periodicity, + around 2*pi) to replace. Should be a few times the angular bin + width; too narrow leaves noise, too wide throws away real signal. + """ + Nphi = C_avg.shape[0] + dphi_deg = 360.0 / Nphi + half_width_bins = max(1, round(half_width_deg / dphi_deg)) + + # Bin indices within +/- half_width_bins of Delta-phi = 0, wrapped. + bad_idx = torch.arange(-half_width_bins, half_width_bins + 1) % Nphi + + # The mirror bins sit exactly half a turn away (Delta-phi = pi + same offset). + shift = Nphi // 2 + mirror_idx = (bad_idx + shift) % Nphi + + filtered = C_avg.clone() + filtered[bad_idx] = C_avg[mirror_idx] + return filtered + + def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05): + # Equation 9, 10, 11 + # for each l: + # build the linear system relating C to B_l(q, q') + # solve it by SVD + # Ignore odd l-terms, Friedel symmetry? + # 5% SVD cutoff + Nphi, Nq, Nqp = C_avg.shape + dphi = torch.linspace(0, 2 * torch.pi, Nphi + 1, dtype=torch.float64)[:-1] # Ranges from [0, 2pi) + l_values = torch.arange(0, l_max, 2) # Even only + Nl = len(l_values) + B_l = torch.zeros((Nl, Nq, Nqp)) + cos_dphi = torch.cos(dphi) + + C_flat = C_avg.reshape(Nphi, Nq * Nqp) + + # Build matrix + L = l_values.reshape(1, Nl) + X = cos_dphi.reshape(Nphi, 1) + leg_matrix = eval_legendre(L, X) # Shape due to broadcasting (Nphi, Nl) + + U, S, Vh = torch.linalg.svd(leg_matrix, full_matrices=False) + S_max = S.max() + S_inv = torch.where(S > sv_cutoff * S_max, 1.0 / S, torch.zeros_like(S)) + + tmp = U.T @ C_flat + tmp = S_inv.unsqueeze(1) * tmp + B_flat = Vh.T @ tmp + + return B_flat.reshape(Nl, Nq, Nqp), l_values + + # TODO: Compare each function to the martin code to see the difference/similarity or understand the repo better + + def transform_to_real_space(self, Bl_mats, l_values, dq=0.01): + """ + IN PROGRESS + dq should be the size of an individual pixel. Default conversion for now is 0.01 angstrom^-1/pixel. + """ + # Equation 12, 13 + # apply bessel transform twice for each l + # → shape = (l, r, r') + r_min = 0.0 + r_max = 20.0 + r_step = 0.02 + + # Step one is to define q + q = torch.arange(0, Bl_mats.shape[1]) * dq + r = torch.arange(r_min, r_max, r_step) # Line 797 in polar.py implements this well. Use the same meshgrid in 798 + real_Bl = torch.zeros((Bl_mats.shape[0], r.shape[0], r.shape[0])) + + for l in range(len(l_values)): + Bl = Bl_mats[l].to(dtype=torch.float64) # The corresponding q x q' matrix + arg = 2 * torch.pi * torch.outer(r, q) # Shape len(r) x len(q) + jl = torch.from_numpy(spherical_jn(l_values[l], arg)).to(dtype=torch.float64) + + # Representing DSBT (eq 12) as a transformation matrix "sbessel" + sbessel = 4 * torch.pi * jl * (q**2) * dq + # Applying it twice (once along each axis) + real_Bl[l] = sbessel @ Bl @ sbessel.T * (-1)**l_values[l] + + return real_Bl + + def reconstruct_PADF(self, real_Bl, l_values, Na): + """ + Reconstruct the pair-angle distribution function from B_l(r, r') + For each theta: + - Sum Pl(cos theta) times B_l() over all l + - Multiply by n_alpha * 2 pi + + NOTE: Theta will go from 0 to pi + EDIT: Na should be number of atoms not number of dps + """ + padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180)) + theta = np.linspace(0, np.pi, 180) + cos_theta = np.cos(theta) + chosen_l_values = l_values[1:] + + # Sum over all l + for l in range(len(chosen_l_values)): # skipping l = 0 + coeffs = np.zeros(chosen_l_values[-1] + 1) + coeffs[chosen_l_values[l]] = 1 + Pl = torch.tensor(legval(cos_theta, coeffs)) + Bl = real_Bl[l + 1] # skipping l = 0 + padf += Bl[:, :, np.newaxis] * Pl[np.newaxis, np.newaxis, :] + + padf *= 2 * torch.pi * Na + return padf + + def simple_plot(self): + """ + Plot the r = r' diagonal of the PADF as a 2D map with + r = r' on the x-axis and theta on the y-axis. + + Uses self.padf, which should be a (Nr, Nr, Ntheta) ndarray + (from reconstruct_PAD()) defined in __init__. + """ + # Take padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) + diag = np.einsum("iik->ik", self.padf) + + # Transpose so rows = theta, columns = r -> (Ntheta, Nr) + diag = diag.T + + fig, ax = plt.subplots(figsize=(7, 5)) + im = ax.pcolormesh(diag, shading="auto") + fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") + + ax.set_xlabel("r = r' index") + ax.set_ylabel(r"$\theta$ index") + ax.set_title("PADF diagonal") + fig.tight_layout() + + return ax + diff --git a/src/quantem/diffraction/padf_symfilter2.py b/src/quantem/diffraction/padf_symfilter2.py new file mode 100644 index 000000000..98c75e99c --- /dev/null +++ b/src/quantem/diffraction/padf_symfilter2.py @@ -0,0 +1,231 @@ +import matplotlib.pyplot as plt +import torch +import numpy as np +from numpy.typing import NDArray +from scipy.special import eval_legendre, spherical_jn +from numpy.polynomial.legendre import legval + +from quantem.core.datastructures.dataset4dstem import Dataset4dstem +from quantem.core.datastructures.polar4dstem import Polar4dstem +from quantem.core.io.serialize import AutoSerialize +from quantem.core.io.serialize import load +from quantem.diffraction.polar_transform import ( + find_origin_angular_grid, + polar_transform, +) + +class PairAngleDistributionFunction(AutoSerialize): + """ + Compute pair-angle distribution function for a given 4D-STEM dataset. + + Run the following pipeline: + padf = PairAngleDistributionFunction(ds) + 1. find_origin_angular_grid(ds) + 2. polar_transform(ds, origin_array=self.origin) + 3. rescale_intensity(self.polar, rho=1, fq=1) + 4. compute_avg_angular_correlation(self.polar_rescaled, dtype=torch.float64) + 5. extract_Bl_matrices(self.ang_corr) + 6. transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) + 7. reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], self.ds.shape[0] * self.ds.shape[1]) + + """ + def __init__(self, + ds: Dataset4dstem = None, + origin: NDArray | None = None, + polar_ds: Polar4dstem | None = None, + ang_corr: torch.Tensor | None = None, + Bl_mats = None + ): + super().__init__() + + self.ds = ds + self.origin = origin if origin is not None else find_origin_angular_grid(ds) + self.polar = polar_ds if polar_ds is not None else polar_transform(ds, origin_array=self.origin) + + # TODO: we get rho and fq from sample identity, so either the user provides them, we find them in the dataset, or we look them up based on sample identity + self.polar_rescaled = self.rescale_intensity(self.polar, rho=1, fq=1) + + self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) + self.ang_corr = self.centrosymmetric_filter(self.ang_corr) + self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr) + self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) + self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam + + def rescale_intensity(self, + data: Polar4dstem | Dataset4dstem | None = None, + rho: float | int | None = None, + fq: float | int | None = None): + """ + Equation 7: Take the raw intensity and divide by the following factors + - Mean number density (rho) + - Mean atomic scattering factor squared (f(q)^2) + - Number of atoms in the beam (N_a) + - phi_0 (dependent on experimental parameters) + + Most likely we will need to fit phi_0 * N_a term via another function + + Handles dtype conversion to float64 + """ + + # TODO: Look at the Martin code to see how he calculated atoms in beam and phi_0 + intensity = data.tensor.to(dtype=torch.float64) + rescaled_intensity = intensity / (rho * fq**2) # / still need to include atoms in beam and phi + return rescaled_intensity + + # phi_0 is not measureable, make a function to fit. (edit: Maybe not necessary) + def fit_phi_0(self): + pass + + + def compute_avg_angular_correlation(self, data): + """ + Equation 8: angular cross correlation implemented via Fourier correlation theorem + """ + + scan_row, scan_col, phi, r = data.shape + g_all = data.reshape(scan_row * scan_col, phi, r) # Flatten grid of dps to one dimension, makes for loop simpler + N_alpha = g_all.shape[0] # Number of dps we have = number of configurations (N_alpha) + + dphi = 2.0 * torch.pi / phi # A small change in angle + + G = torch.fft.rfft(g_all, dim=1) # Fourier transform along phi axis + P = torch.einsum('afi,afj->fij', G.conj(), G) # Outer product of r between G and its conjugate, summed over all N_alpha + C_sum = torch.fft.irfft(P, n=phi, dim=0) + + C_avg = (C_sum / N_alpha) * dphi + return C_avg + + def centrosymmetric_filter(self, C_avg: torch.Tensor, width: int = 10) -> torch.Tensor: + """ + Replace correlation values near theta=0 (and its wrap-around at theta=2pi) + with values from theta=180 deg, removing the shot-noise self-correlation + peak at theta=0, q=q' (Martin 2017 IUCrJ, Appendix B / Fig. 4). + + C_avg has shape (Nphi, Nq, Nqp) as produced by compute_avg_angular_correlation. + """ + Nphi = C_avg.shape[0] + mask = torch.ones(Nphi, dtype=C_avg.dtype, device=C_avg.device) + mask[:width] = 0.0 + mask[Nphi - width:] = 0.0 + mask = mask.view(Nphi, 1, 1) + + shifted_mask = torch.roll(mask, Nphi // 2, dims=0) + shifted_C = torch.roll(C_avg * mask, Nphi // 2, dims=0) + + numer = C_avg * mask + shifted_C + denom = mask + shifted_mask + return numer / denom + + def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05): + # Equation 9, 10, 11 + # for each l: + # build the linear system relating C to B_l(q, q') + # solve it by SVD + # Ignore odd l-terms, Friedel symmetry? + # 5% SVD cutoff + Nphi, Nq, Nqp = C_avg.shape + dphi = torch.linspace(0, 2 * torch.pi, Nphi + 1, dtype=torch.float64)[:-1] # Ranges from [0, 2pi) + l_values = torch.arange(0, l_max, 2) # Even only + Nl = len(l_values) + B_l = torch.zeros((Nl, Nq, Nqp)) + cos_dphi = torch.cos(dphi) + + C_flat = C_avg.reshape(Nphi, Nq * Nqp) + + # Build matrix + L = l_values.reshape(1, Nl) + X = cos_dphi.reshape(Nphi, 1) + leg_matrix = eval_legendre(L, X) # Shape due to broadcasting (Nphi, Nl) + + U, S, Vh = torch.linalg.svd(leg_matrix, full_matrices=False) + S_max = S.max() + S_inv = torch.where(S > sv_cutoff * S_max, 1.0 / S, torch.zeros_like(S)) + + tmp = U.T @ C_flat + tmp = S_inv.unsqueeze(1) * tmp + B_flat = Vh.T @ tmp + + return B_flat.reshape(Nl, Nq, Nqp), l_values + + # TODO: Compare each function to the martin code to see the difference/similarity or understand the repo better + + def transform_to_real_space(self, Bl_mats, l_values, dq=0.01): + """ + IN PROGRESS + dq should be the size of an individual pixel. Default conversion for now is 0.01 angstrom^-1/pixel. + """ + # Equation 12, 13 + # apply bessel transform twice for each l + # → shape = (l, r, r') + r_min = 0.0 + r_max = 20.0 + r_step = 0.02 + + # Step one is to define q + q = torch.arange(0, Bl_mats.shape[1]) * dq + r = torch.arange(r_min, r_max, r_step) # Line 797 in polar.py implements this well. Use the same meshgrid in 798 + real_Bl = torch.zeros((Bl_mats.shape[0], r.shape[0], r.shape[0])) + + for l in range(len(l_values)): + Bl = Bl_mats[l].to(dtype=torch.float64) # The corresponding q x q' matrix + arg = 2 * torch.pi * torch.outer(r, q) # Shape len(r) x len(q) + jl = torch.from_numpy(spherical_jn(l_values[l], arg)).to(dtype=torch.float64) + + # Representing DSBT (eq 12) as a transformation matrix "sbessel" + sbessel = 4 * torch.pi * jl * (q**2) * dq + # Applying it twice (once along each axis) + real_Bl[l] = sbessel @ Bl @ sbessel.T * (-1)**l_values[l] + + return real_Bl + + def reconstruct_PADF(self, real_Bl, l_values, Na): + """ + Reconstruct the pair-angle distribution function from B_l(r, r') + For each theta: + - Sum Pl(cos theta) times B_l() over all l + - Multiply by n_alpha * 2 pi + + NOTE: Theta will go from 0 to pi + EDIT: Na should be number of atoms not number of dps + """ + padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180)) + theta = np.linspace(0, np.pi, 180) + cos_theta = np.cos(theta) + chosen_l_values = l_values[1:] + + # Sum over all l + for l in range(len(chosen_l_values)): # skipping l = 0 + coeffs = np.zeros(chosen_l_values[-1] + 1) + coeffs[chosen_l_values[l]] = 1 + Pl = torch.tensor(legval(cos_theta, coeffs)) + Bl = real_Bl[l + 1] # skipping l = 0 + padf += Bl[:, :, np.newaxis] * Pl[np.newaxis, np.newaxis, :] + + padf *= 2 * torch.pi * Na + return padf + + def simple_plot(self): + """ + Plot the r = r' diagonal of the PADF as a 2D map with + r = r' on the x-axis and theta on the y-axis. + + Uses self.padf, which should be a (Nr, Nr, Ntheta) ndarray + (from reconstruct_PAD()) defined in __init__. + """ + # Take padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) + diag = np.einsum("iik->ik", self.padf) + + # Transpose so rows = theta, columns = r -> (Ntheta, Nr) + diag = diag.T + + fig, ax = plt.subplots(figsize=(7, 5)) + im = ax.pcolormesh(diag, shading="auto") + fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") + + ax.set_xlabel("r = r' index") + ax.set_ylabel(r"$\theta$ index") + ax.set_title("PADF diagonal") + fig.tight_layout() + + return ax + diff --git a/src/quantem/diffraction/polar.py b/src/quantem/diffraction/polar.py index d2d73eb4f..88de4b08b 100644 --- a/src/quantem/diffraction/polar.py +++ b/src/quantem/diffraction/polar.py @@ -781,6 +781,9 @@ def calculate_Gr( Fk_win = Fk * wk r = torch.arange(r_min, r_max, r_step, device=self.device, dtype=torch.float32) + print(k.shape) + print(r.shape) + ka, ra = torch.meshgrid(k, r, indexing="ij") # compute reduced PDF using discrete sine transform reduced_pdf = ( @@ -793,7 +796,9 @@ def calculate_Gr( dim=0, ) ) + print(reduced_pdf.shape) reduced_pdf[0] = 0 # physically must be at 0 when r = 0 + self.Ik = Ik self.bg = bg From 208ef95b0d2d6e4cd0f3a7e0084bb158255f5b0c Mon Sep 17 00:00:00 2001 From: ectsegaye Date: Tue, 11 Aug 2026 10:51:29 -0700 Subject: [PATCH 18/45] new plotting functions --- src/quantem/diffraction/padf.py | 5 +- src/quantem/diffraction/plotting.py | 145 ++++++++++++++++++++++++++++ 2 files changed, 149 insertions(+), 1 deletion(-) create mode 100644 src/quantem/diffraction/plotting.py diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index c0e66b9a3..1522e56a0 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -138,10 +138,11 @@ def transform_to_real_space(self, Bl_mats, l_values, dq=0.01): r_min = 0.0 r_max = 20.0 r_step = 0.02 - + # Step one is to define q q = torch.arange(0, Bl_mats.shape[1]) * dq r = torch.arange(r_min, r_max, r_step) # Line 797 in polar.py implements this well. Use the same meshgrid in 798 + self.r = r.numpy() real_Bl = torch.zeros((Bl_mats.shape[0], r.shape[0], r.shape[0])) for l in range(len(l_values)): @@ -168,6 +169,8 @@ def reconstruct_PADF(self, real_Bl, l_values, Na): """ padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180)) theta = np.linspace(0, np.pi, 180) + self.theta = theta + self.theta_deg = np.degrees(theta) cos_theta = np.cos(theta) chosen_l_values = l_values[1:] diff --git a/src/quantem/diffraction/plotting.py b/src/quantem/diffraction/plotting.py new file mode 100644 index 000000000..84331aa69 --- /dev/null +++ b/src/quantem/diffraction/plotting.py @@ -0,0 +1,145 @@ +import matplotlib.pyplot as plt +import numpy as np + + +def _range_mask(x, xmin, xmax): + """Return a boolean mask selecting `x` within [xmin, xmax], defaulting to all True.""" + if xmin is None and xmax is None: + return np.ones_like(x, dtype=bool) + xmin_eff = x.min() if xmin is None else xmin + xmax_eff = x.max() if xmax is None else xmax + if xmax_eff <= xmin_eff: + raise ValueError(f"xmax must be > xmin (got xmin={xmin_eff}, xmax={xmax_eff}).") + mask = (x >= xmin_eff) & (x <= xmax_eff) + if not np.any(mask): + raise ValueError("Requested plot range contains no data.") + return mask + + +def _nearest_index(x, value): + return int(np.argmin(np.abs(x - value))) + + +def plot_diagonal( + padf, + rmin: float | None = None, + rmax: float | None = None, + figsize: tuple[float, float] = (7, 5), + returnfig: bool = False, +): + """ + Plot the r = r' diagonal of the PADF as a 2D map with r on the x-axis + (Angstrom) and theta on the y-axis (degrees). + + Equivalent view to PairAngleDistributionFunction.simple_plot(), but with + physical-unit axes taken from padf.r / padf.theta_deg instead of raw + array indices. + """ + r = padf.r + theta_deg = padf.theta_deg + + diag = np.einsum("iik->ik", padf.padf.numpy() if hasattr(padf.padf, "numpy") else np.asarray(padf.padf)) # (Nr, Ntheta) + + r_mask = _range_mask(r, rmin, rmax) + r_sel = r[r_mask] + diag = diag[r_mask, :].T # (Ntheta, Nr_sel) + + fig, ax = plt.subplots(figsize=figsize) + im = ax.pcolormesh(r_sel, theta_deg, diag, shading="auto") + fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") + + ax.set_xlabel("r = r' (Å)") + ax.set_ylabel(r"$\theta$ (degrees)") + ax.set_title("PADF diagonal") + fig.tight_layout() + + if returnfig: + return fig + plt.show() + + +def plot_theta0_map( + padf, + rmin: float | None = None, + rmax: float | None = None, + figsize: tuple[float, float] = (6, 5), + returnfig: bool = False, +): + """ + Plot Theta(r, r', theta=0) as a 2D map over the full (r, r') grid, + reproducing the top row of Fig. 2 in Martin (2017). + """ + return plot_rrp_slice(padf, theta_deg=0.0, rmin=rmin, rmax=rmax, figsize=figsize, returnfig=returnfig) + + +def plot_rrp_slice( + padf, + theta_deg: float, + rmin: float | None = None, + rmax: float | None = None, + figsize: tuple[float, float] = (6, 5), + returnfig: bool = False, +): + """ + Plot Theta(r, r', theta) as a 2D map over the full (r, r') grid at a + fixed angle theta (degrees), generalizing plot_theta0_map to any theta. + """ + r = padf.r + theta_axis = padf.theta_deg + + padf_arr = padf.padf.numpy() if hasattr(padf.padf, "numpy") else np.asarray(padf.padf) + theta_idx = _nearest_index(theta_axis, theta_deg) + slice_2d = padf_arr[:, :, theta_idx] # (Nr, Nr') + + r_mask = _range_mask(r, rmin, rmax) + r_sel = r[r_mask] + slice_2d = slice_2d[np.ix_(r_mask, r_mask)] + + fig, ax = plt.subplots(figsize=figsize) + im = ax.pcolormesh(r_sel, r_sel, slice_2d.T, shading="auto") + fig.colorbar(im, ax=ax, label=r"$\Theta(r, r', \theta)$") + + ax.set_xlabel("r (Å)") + ax.set_ylabel("r' (Å)") + ax.set_title(rf"$\Theta(r, r', \theta={theta_axis[theta_idx]:.1f}\degree)$") + fig.tight_layout() + + if returnfig: + return fig + plt.show() + + +def plot_angular_slice( + padf, + r_shell: float | list[float], + figsize: tuple[float, float] = (6, 4), + returnfig: bool = False, +): + """ + Plot Theta(r, r, theta) vs theta (degrees) at one or more fixed radial + shells r = r', reproducing the top row of Fig. 3 in Martin (2017). + + r_shell : float or list of float + Radial distance(s) in Angstrom (Angstrom) at which to take the r = r' shell. + Nearest available r bin is used. + """ + r = padf.r + theta_deg = padf.theta_deg + padf_arr = padf.padf.numpy() if hasattr(padf.padf, "numpy") else np.asarray(padf.padf) + + shells = [r_shell] if np.isscalar(r_shell) else list(r_shell) + + fig, ax = plt.subplots(figsize=figsize) + for shell in shells: + idx = _nearest_index(r, shell) + ax.plot(theta_deg, padf_arr[idx, idx, :], label=f"r = r' = {r[idx]:.2f} Å") + + ax.set_xlabel(r"$\theta$ (degrees)") + ax.set_ylabel(r"$\Theta(r, r, \theta)$") + ax.set_title("Angular dependence of PADF") + ax.legend() + fig.tight_layout() + + if returnfig: + return fig + plt.show() From 690d143d392b88f7b8225f9a008577158bb9e5ce Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Tue, 11 Aug 2026 16:00:08 -0700 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zP@$~W&j@0c=$#&q^uQCCsv(9J!6jJgw&UAvZ5lf_f~=Ed$&sJott@3I_r8Eyl_bcg zNQ#Pty~w;%jU){LUF+cUTBRY~TvWwp&e62@x-5Or;C%zfxdX;ofj*QCA3FM? zSXCj!^ledN{t>!Q7L$tfbovBI?n{v;&7DihBut8`{=3cZ`2@_q$Jup}?`&w-22=>0pgGkGv3!TBz<3+9 zWlgc~<^hDiiNw3qzj2|onZ@7uk42Y9vcHx8VYcsPqiJRhYrJWIjv#BO`piS3R2}=| zB!Y4IcbH3pBo-f+NAtZ3w%4mn=#f2N7+EqykgMyi+Z?`8CoJ55PFY{#?B;kq_5TBT Cj?01o literal 0 HcmV?d00001 From 591c3e42ae9bb8273475f42c884ecf39272e4ad0 Mon Sep 17 00:00:00 2001 From: cophus Date: Wed, 12 Aug 2026 09:55:25 -0600 Subject: [PATCH 20/45] some fixes --- src/quantem/diffraction/padf.py | 74 ++++++++++++++++------ src/quantem/diffraction/polar_transform.py | 57 ++++++++++++----- 2 files changed, 96 insertions(+), 35 deletions(-) diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 1522e56a0..9db21e8fb 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -10,27 +10,31 @@ from quantem.core.io.serialize import AutoSerialize from quantem.core.io.serialize import load from quantem.diffraction.polar_transform import ( + as_dataset4dstem, find_origin_angular_grid, polar_transform, ) class PairAngleDistributionFunction(AutoSerialize): """ - Compute pair-angle distribution function for a given 4D-STEM dataset. + Compute the pair-angle distribution function from diffraction data: + a single 2D pattern (Dataset2d), a 3D stack of patterns, or a 4D-STEM + dataset. Non-4D inputs are wrapped as (1, 1, H, W) / (N, 1, H, W). Run the following pipeline: padf = PairAngleDistributionFunction(ds) 1. find_origin_angular_grid(ds) 2. polar_transform(ds, origin_array=self.origin) 3. rescale_intensity(self.polar, rho=1, fq=1) - 4. compute_avg_angular_correlation(self.polar_rescaled, dtype=torch.float64) - 5. extract_Bl_matrices(self.ang_corr) - 6. transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) - 7. reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], self.ds.shape[0] * self.ds.shape[1]) + 4. compute_avg_angular_correlation(self.polar_rescaled) + 5. correct_angular_correlation(self.ang_corr) # theta-mean subtraction + |sin(theta)| factor + 6. extract_Bl_matrices(self.ang_corr_corrected) + 7. transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) + 8. reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], self.ds.shape[0] * self.ds.shape[1]) """ def __init__(self, - ds: Dataset4dstem = None, + ds=None, origin: NDArray | None = None, polar_ds: Polar4dstem | None = None, ang_corr: torch.Tensor | None = None, @@ -38,7 +42,8 @@ def __init__(self, ): super().__init__() - self.ds = ds + # accept a single 2D pattern, a 3D stack, or a 4D-STEM dataset + self.ds = as_dataset4dstem(ds) if ds is not None else None self.origin = origin if origin is not None else find_origin_angular_grid(ds) self.polar = polar_ds if polar_ds is not None else polar_transform(ds, origin_array=self.origin) @@ -46,8 +51,12 @@ def __init__(self, self.polar_rescaled = self.rescale_intensity(self.polar, rho=1, fq=1) self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) - self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr) - self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) + self.ang_corr_corrected = self.correct_angular_correlation(self.ang_corr) + self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr_corrected) + # radial q calibration of the polar dataset: bin i sits at q_min + i * dq + dq = float(np.asarray(self.polar.sampling)[3]) + q_min = float(np.asarray(self.polar.origin)[3]) + self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1], dq=dq, q_min=q_min) self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam def rescale_intensity(self, @@ -94,6 +103,29 @@ def compute_avg_angular_correlation(self, data): C_avg = (C_sum / N_alpha) * dphi return C_avg + def correct_angular_correlation(self, + C_avg: torch.Tensor, + subtract_mean: bool = True, + sintheta: bool = True): + """ + Corrections applied to the angular correlation before B_l extraction, + matching the pypadf maskcorr.py defaults: + + - subtract_mean: subtract the theta-average from each (q, q') ring, + removing the dominant isotropic (uncorrelated) background. + - sintheta: multiply by |sin(theta)| (evaluated at bin centers). + This is the conversion factor between the correlation function and + the PADF (eq 11), applied in q-space as in the pypadf workflow. + """ + C = C_avg.clone() + Nphi = C.shape[0] + if subtract_mean: + C -= C.mean(dim=0, keepdim=True) + if sintheta: + theta = 2.0 * torch.pi * (torch.arange(Nphi, dtype=C.dtype) + 0.5) / Nphi + C *= torch.abs(torch.sin(theta))[:, None, None] + return C + def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05): # Equation 9, 10, 11 # for each l: @@ -105,7 +137,6 @@ def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05): dphi = torch.linspace(0, 2 * torch.pi, Nphi + 1, dtype=torch.float64)[:-1] # Ranges from [0, 2pi) l_values = torch.arange(0, l_max, 2) # Even only Nl = len(l_values) - B_l = torch.zeros((Nl, Nq, Nqp)) cos_dphi = torch.cos(dphi) C_flat = C_avg.reshape(Nphi, Nq * Nqp) @@ -127,23 +158,26 @@ def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05): # TODO: Compare each function to the martin code to see the difference/similarity or understand the repo better - def transform_to_real_space(self, Bl_mats, l_values, dq=0.01): + def transform_to_real_space(self, Bl_mats, l_values, dq=0.01, q_min=0.0, + r_min=0.0, r_max=20.0, r_step=0.02): """ - IN PROGRESS - dq should be the size of an individual pixel. Default conversion for now is 0.01 angstrom^-1/pixel. + Transform B_l(q, q') to B_l(r, r') by applying the spherical Bessel + transform (eq 8) along each q axis via direct quadrature. + + dq : radial q step of the polar dataset (e.g. angstrom^-1 / bin). + q_min : q value of the first radial bin (nonzero if the polar + transform used radial_min > 0). + r_min, r_max, r_step : real-space grid, in the reciprocal units of q. """ # Equation 12, 13 # apply bessel transform twice for each l # → shape = (l, r, r') - r_min = 0.0 - r_max = 20.0 - r_step = 0.02 # Step one is to define q - q = torch.arange(0, Bl_mats.shape[1]) * dq - r = torch.arange(r_min, r_max, r_step) # Line 797 in polar.py implements this well. Use the same meshgrid in 798 + q = q_min + torch.arange(0, Bl_mats.shape[1], dtype=torch.float64) * dq + r = torch.arange(r_min, r_max, r_step, dtype=torch.float64) self.r = r.numpy() - real_Bl = torch.zeros((Bl_mats.shape[0], r.shape[0], r.shape[0])) + real_Bl = torch.zeros((Bl_mats.shape[0], r.shape[0], r.shape[0]), dtype=torch.float64) for l in range(len(l_values)): Bl = Bl_mats[l].to(dtype=torch.float64) # The corresponding q x q' matrix @@ -167,7 +201,7 @@ def reconstruct_PADF(self, real_Bl, l_values, Na): NOTE: Theta will go from 0 to pi EDIT: Na should be number of atoms not number of dps """ - padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180)) + padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180), dtype=torch.float64) theta = np.linspace(0, np.pi, 180) self.theta = theta self.theta_deg = np.degrees(theta) diff --git a/src/quantem/diffraction/polar_transform.py b/src/quantem/diffraction/polar_transform.py index 03adcc659..c0175c979 100644 --- a/src/quantem/diffraction/polar_transform.py +++ b/src/quantem/diffraction/polar_transform.py @@ -15,6 +15,45 @@ # but is noted where the call occures +def as_dataset4dstem(data) -> Dataset4dstem: + """ + Normalize a dataset to 4D-STEM form so the polar/PADF pipeline can treat + all inputs uniformly: + + - 2D (single diffraction pattern) -> (1, 1, H, W) + - 3D (stack of patterns) -> (N, 1, H, W) + - 4D -> unchanged + + The detector calibration (last two dims) is preserved; wrapped scan dims + get sampling 1 pixel. + """ + if data.ndim == 4: + return data + arr = data.array if data.array is not None else to_numpy(data.tensor) + sampling = np.asarray(data.sampling, dtype=float) + origin = np.asarray(data.origin, dtype=float) + units = list(data.units) + if data.ndim == 2: + arr4 = arr[None, None] + scan_sampling = [1.0, 1.0] + elif data.ndim == 3: + arr4 = arr[:, None] + scan_sampling = [float(sampling[0]), 1.0] + else: + raise ValueError( + f"Got array with shape {data.shape}. " + "Expected a 2D pattern, 3D stack of patterns, or 4D-STEM dataset." + ) + return Dataset4dstem.from_array( + arr4, + name=data.name, + origin=np.concatenate([np.zeros(2), origin[-2:]]), + sampling=np.concatenate([scan_sampling, sampling[-2:]]), + units=["pixels", "pixels"] + units[-2:], + signal_units=data.signal_units, + ) + + def find_origin_angular_grid( data: Dataset4dstem, *, @@ -77,16 +116,8 @@ def find_origin_angular_grid( Array of shape (scan_row, scan_col, 2) containing (row, col) origin estimates in pixels. """ - if data.ndim == 2: - n_row, n_col = data.shape - scan_row, scan_col = 1, 1 - elif data.ndim == 4: - scan_row, scan_col, n_row, n_col = data.shape - else: - raise ValueError( - f" Got array with shape {data.shape}." - "To use find_origin_angular_grid, pass a 2D or 4DSTEM dataset." - ) + data = as_dataset4dstem(data) + scan_row, scan_col, n_row, n_col = data.shape # Move the full dataset to the chosen device once dps = ( @@ -360,11 +391,7 @@ def polar_transform( device: str = "cpu", batch_size: int = 128, ) -> Polar4dstem | torch.Tensor: - if data.ndim != 4: - raise ValueError( - f"Found array with shape: {data.shape}. " - "polar_transform requires a 4D-STEM dataset (ndim=4)." - ) + data = as_dataset4dstem(data) scan_row, scan_col, n_row, n_col = data.shape # Standardize origin_array input From ba82452f30b6e1d87007f1b4d6d9dcfb294d54cd Mon Sep 17 00:00:00 2001 From: cophus Date: Wed, 12 Aug 2026 11:56:23 -0600 Subject: [PATCH 21/45] adding g3 type plots --- src/quantem/diffraction/padf.py | 218 ++++++++++++++++++++++++++++++-- 1 file changed, 207 insertions(+), 11 deletions(-) diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 9db21e8fb..0768dda39 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -38,7 +38,9 @@ def __init__(self, origin: NDArray | None = None, polar_ds: Polar4dstem | None = None, ang_corr: torch.Tensor | None = None, - Bl_mats = None + Bl_mats = None, + rho: float = 1.0, + fq: NDArray | torch.Tensor | float | None = None, ): super().__init__() @@ -47,8 +49,8 @@ def __init__(self, self.origin = origin if origin is not None else find_origin_angular_grid(ds) self.polar = polar_ds if polar_ds is not None else polar_transform(ds, origin_array=self.origin) - # TODO: we get rho and fq from sample identity, so either the user provides them, we find them in the dataset, or we look them up based on sample identity - self.polar_rescaled = self.rescale_intensity(self.polar, rho=1, fq=1) + # TODO: look up rho and fq from sample identity when not provided + self.polar_rescaled = self.rescale_intensity(self.polar, rho=rho, fq=fq) self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) self.ang_corr_corrected = self.correct_angular_correlation(self.ang_corr) @@ -61,8 +63,8 @@ def __init__(self, def rescale_intensity(self, data: Polar4dstem | Dataset4dstem | None = None, - rho: float | int | None = None, - fq: float | int | None = None): + rho: float | int = 1.0, + fq: NDArray | torch.Tensor | float | int | None = None): """ Equation 7: Take the raw intensity and divide by the following factors - Mean number density (rho) @@ -70,14 +72,37 @@ def rescale_intensity(self, - Number of atoms in the beam (N_a) - phi_0 (dependent on experimental parameters) - Most likely we will need to fit phi_0 * N_a term via another function + fq may be a scalar or a per-radial-bin array f(q) of length Nq + (broadcast along the last axis of the polar data). Dividing by + f(q)^2 removes the atom-shape damping of the diffraction rings; + leaving it in biases the real-space peak positions of the PADF. + Floor small f(q) values before passing to avoid amplifying the + high-q noise floor. + + Finally the intensity is normalized to unit mean. This is the + analogue of pypadf's scalar 1/beamnorm^2 correlation scaling: it + absorbs the unmeasurable overall factors (phi_0, N_a, detector + gain) so the PADF magnitude is independent of the raw intensity + scale. Handles dtype conversion to float64 """ - - # TODO: Look at the Martin code to see how he calculated atoms in beam and phi_0 + intensity = data.tensor.to(dtype=torch.float64) - rescaled_intensity = intensity / (rho * fq**2) # / still need to include atoms in beam and phi + if fq is None: + fq2 = 1.0 + elif isinstance(fq, (int, float)): + fq2 = float(fq) ** 2 + else: + fq_t = torch.as_tensor(np.asarray(fq), dtype=torch.float64) + if fq_t.shape[-1] != intensity.shape[-1]: + raise ValueError( + f"fq has length {fq_t.shape[-1]} but the polar data has " + f"{intensity.shape[-1]} radial bins." + ) + fq2 = fq_t ** 2 # broadcasts along the radial (last) axis + rescaled_intensity = intensity / (rho * fq2) + rescaled_intensity /= rescaled_intensity.mean() return rescaled_intensity # phi_0 is not measureable, make a function to fit. (edit: Maybe not necessary) @@ -168,6 +193,12 @@ def transform_to_real_space(self, Bl_mats, l_values, dq=0.01, q_min=0.0, q_min : q value of the first radial bin (nonzero if the polar transform used radial_min > 0). r_min, r_max, r_step : real-space grid, in the reciprocal units of q. + + The transform kernel is nondimensionalized by q_max (the quadrature + uses (q / q_max)^2 d(q / q_max) per axis), so the output B_l(r, r') + is dimensionless rather than carrying units of q^6. Combined with + the unit-mean intensity normalization in rescale_intensity, this + keeps PADF values of order 1. """ # Equation 12, 13 # apply bessel transform twice for each l @@ -175,6 +206,7 @@ def transform_to_real_space(self, Bl_mats, l_values, dq=0.01, q_min=0.0, # Step one is to define q q = q_min + torch.arange(0, Bl_mats.shape[1], dtype=torch.float64) * dq + q_max = float(q[-1]) r = torch.arange(r_min, r_max, r_step, dtype=torch.float64) self.r = r.numpy() real_Bl = torch.zeros((Bl_mats.shape[0], r.shape[0], r.shape[0]), dtype=torch.float64) @@ -184,8 +216,9 @@ def transform_to_real_space(self, Bl_mats, l_values, dq=0.01, q_min=0.0, arg = 2 * torch.pi * torch.outer(r, q) # Shape len(r) x len(q) jl = torch.from_numpy(spherical_jn(l_values[l], arg)).to(dtype=torch.float64) - # Representing DSBT (eq 12) as a transformation matrix "sbessel" - sbessel = 4 * torch.pi * jl * (q**2) * dq + # Representing DSBT (eq 12) as a transformation matrix "sbessel", + # with q scaled by q_max so the quadrature is dimensionless + sbessel = 4 * torch.pi * jl * (q**2) * dq / q_max**3 # Applying it twice (once along each axis) real_Bl[l] = sbessel @ Bl @ sbessel.T * (-1)**l_values[l] @@ -219,6 +252,169 @@ def reconstruct_PADF(self, real_Bl, l_values, Na): padf *= 2 * torch.pi * Na return padf + def plot_g2_g3( + self, + r_min: float | None = None, + r_max: float | None = None, + r_display_power: int = 1, + r_max_display: float | None = None, + r_search_min: float = 0.5, + r_marks=None, + markers=None, + title: str | None = None, + figsize: tuple[float, float] = (4.8, 4.4), + returnfig: bool = False, + ): + """ + Stacked 2-body / 3-body correlation summary of the PADF, after + atomode's G3 explorer. The two panels share the radial axis. + + Top panel: 3-body correlation map - Theta(r, r', theta) integrated + over r in [r_min, r_max] (symmetrized over both radial axes), + plotted as angle theta vs r'. + + Bottom panel: 2-body correlation profile - the |sin(theta)|-weighted + RMS of the r = r' diagonal over the interior angular range + (15-165 deg), + sqrt( sum_theta Theta(r, r, theta)^2 sin(theta) + / sum_theta sin(theta) ). + This stands in for the isotropic pair correlation (whose true l = 0 + component is removed by the correlation mean subtraction; a plain + sin-weighted integral of Theta cancels to ~zero by Legendre + orthogonality). It peaks at the radial shells where the PADF has + angular structure and is used to choose the near-neighbor shell; + the integration shell [r_min, r_max] is shaded. + + Both panels are weighted by r^(2 * r_display_power) for display, and + the map's color limits are taken from the interior angular range + (15-165 deg) so the collinear theta = 0 / 180 bands saturate rather + than compressing the color scale. + + Parameters + ---------- + r_min, r_max : float or None + Integration shell bounds in the r units of the PADF (Angstroms + for calibrated data). If None, the first peak of g2 is selected + automatically: from the last point below 5% of the peak height + up to the first local minimum past the peak (atomode's default + shell heuristic). + r_display_power : int + Display weighting exponent; each panel is multiplied by + r^(2 * r_display_power). 0 plots the raw values. + r_max_display : float or None + Upper limit of the radial axes; defaults to min(8 A, r.max()). + r_search_min : float + Ignore r below this value when auto-locating the g2 peak + (excludes the r ~ 0 reconstruction artifacts). + r_marks : sequence of float or None + Radii (e.g. the 1st/2nd/3rd neighbor shell distances) marked + with dotted vertical lines on both panels. + markers : sequence of (r, theta_deg) or None + Expected 3-body maxima overlaid on the map as open circles - + e.g. the (shell distance, arm-arm angle) targets from a known + structure. A third element per tuple, if present, scales the + marker size (relative multiplicity). + title : str or None + Figure title; a shell summary is used if None. + returnfig : bool + Return (fig, (ax_g2, ax_g3)) instead of calling plt.show(). + """ + r = np.asarray(self.r) + theta = np.asarray(self.theta) # radians + theta_deg = np.asarray(self.theta_deg) + arr = self.padf.numpy() if hasattr(self.padf, "numpy") else np.asarray(self.padf) + + # pair profile: sin(theta)-weighted RMS of the diagonal over the + # interior angles (a plain integral cancels by Legendre orthogonality + # since the l = 0 term is removed by the mean subtraction) + diag = np.einsum("iik->ik", arr) + interior_t = (theta_deg > 15) & (theta_deg < 165) + w_t = np.abs(np.sin(theta[interior_t])) + g2 = np.sqrt((diag[:, interior_t] ** 2 * w_t[None, :]).sum(axis=1) / w_t.sum()) + + # auto-select the first g2 peak if no shell was given + if r_min is None or r_max is None: + kernel = np.array([1.0, 2.0, 3.0, 2.0, 1.0]) + kernel /= kernel.sum() + smooth = np.convolve(np.where(r < r_search_min, 0.0, g2), kernel, mode="same") + i_pk = None + for idx in range(1, smooth.size - 1): + if smooth[idx] > 0 and smooth[idx] >= smooth[idx - 1] and smooth[idx] > smooth[idx + 1]: + i_pk = idx + break + if i_pk is None: + i_pk = int(np.argmax(smooth)) + below = np.flatnonzero(smooth[:i_pk] < 0.05 * smooth[i_pk]) + i_lo = int(below[-1]) if below.size else int(np.searchsorted(r, r_search_min)) + i_hi = min(smooth.size - 1, 2 * i_pk - i_lo) + for idx in range(i_pk + 1, smooth.size - 1): + if smooth[idx] <= smooth[idx - 1] and smooth[idx] <= smooth[idx + 1]: + i_hi = idx + break + if r_min is None: + r_min = float(r[i_lo]) + if r_max is None: + r_max = float(r[i_hi]) + + shell = (r >= r_min) & (r <= r_max) + if not np.any(shell): + shell[int(np.argmin(np.abs(r - 0.5 * (r_min + r_max))))] = True + + # g3 map: integrate over the shell, symmetrized over both r axes + g3_map = 0.5 * (arr[shell].sum(axis=0) + arr[:, shell].sum(axis=1)) # (Nr', Ntheta) + + # display weighting and color limits + if r_max_display is None: + r_max_display = float(min(8.0, r[-1])) + weight = r ** (2 * r_display_power) + g2_disp = g2 * weight + g3_disp = (g3_map * weight[:, None]).T # (Ntheta, Nr') + rs = r <= r_max_display + interior = (theta_deg > 15) & (theta_deg < 165) + vmax = np.quantile(np.abs(g3_disp[np.ix_(interior, rs)]), 0.999) + + fig, (ax_g3, ax_g2) = plt.subplots( + 2, 1, sharex=True, figsize=figsize, + gridspec_kw={"height_ratios": [2, 1]}, + constrained_layout=True, + ) + im = ax_g3.pcolormesh( + r[rs], theta_deg, g3_disp[:, rs], + cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto", + ) + ax_g3.set_ylabel("$\\theta$ (deg)") + ax_g3.set_yticks(np.arange(0, 181, 45)) + fig.colorbar(im, ax=[ax_g3, ax_g2], label="3-body correlation", pad=0.02) + + if markers is not None: + for mk in markers: + r_mk, t_mk = mk[0], mk[1] + size = 12.0 * (mk[2] ** 0.5) if len(mk) > 2 else 10.0 + if r_mk <= r_max_display: + ax_g3.plot(r_mk, t_mk, "o", ms=max(size, 5.0), mfc="none", + mec="k", mew=1.0) + + ax_g2.plot(r[rs], g2_disp[rs], "k-", lw=1) + ax_g2.axvspan(r_min, r_max, color="C1", alpha=0.25) + ax_g2.axhline(0, color="0.85", lw=0.8, zorder=0) + + if r_marks is not None: + for r_mk in r_marks: + for ax in (ax_g3, ax_g2): + ax.axvline(r_mk, color="k", ls=":", lw=0.8) + ax_g2.set_ylabel("2-body corr.") + ax_g2.set_xlabel("r, r' (Å)") + + ax_g3.set_title( + title if title is not None + else f"shell r = {r_min:.2f} - {r_max:.2f}", + fontsize=10, + ) + + if returnfig: + return fig, (ax_g3, ax_g2) + plt.show() + def simple_plot(self): """ Plot the r = r' diagonal of the PADF as a 2D map with From cc0d26e3c1c6812f613ad0df1a442f277421ee51 Mon Sep 17 00:00:00 2001 From: cophus Date: Wed, 12 Aug 2026 17:01:54 -0600 Subject: [PATCH 22/45] testing 2D variant of PADF --- src/quantem/diffraction/bispectrum.py | 161 +++++++++++++++++++++++++ src/quantem/diffraction/padf2d.py | 166 ++++++++++++++++++++++++++ 2 files changed, 327 insertions(+) create mode 100644 src/quantem/diffraction/bispectrum.py create mode 100644 src/quantem/diffraction/padf2d.py diff --git a/src/quantem/diffraction/bispectrum.py b/src/quantem/diffraction/bispectrum.py new file mode 100644 index 000000000..a36c3a13a --- /dev/null +++ b/src/quantem/diffraction/bispectrum.py @@ -0,0 +1,161 @@ +""" +Angular bispectrum (triple correlation) of polar diffraction data. + +The pair angular correlation used by the PADF keeps only |I_hat(q, n)|^2 - +the angular power spectrum - discarding the relative phases between angular +harmonics. The bispectrum + + B_{q1 q2 q3}(n1, n2) = < I_hat_{q1}(n1) I_hat_{q2}(n2) + conj( I_hat_{q3}(n1 + n2) ) >_patterns + +is the lowest-order rotation-invariant statistic that retains those phases +(the harmonic closure n3 = n1 + n2 cancels the e^{i n alpha} rotation +phases). Its 2D inverse Fourier transform is the angular triple correlation + + C3(delta1, delta2) = < mean_phi I(phi) I(phi + delta1) I(phi + delta2) >. + +Working in the harmonic domain with a cutoff n_max keeps the object small: +(2 n_max + 1)^2 complex values per ring triple, instead of the +(N_phi)^2-per-triple maps of a direct triple loop. + +Note: for single flat-Ewald diffraction patterns, Friedel symmetry makes +I(q, phi) pi-periodic, so odd harmonics vanish and C3 is 180-deg periodic +in each angle; only the joint reflection (d1, d2) -> (pi - d1, pi - d2) +remains degenerate - the relative fold between the two angles is broken. + +Class: AngularBispectrum +""" + +import matplotlib.pyplot as plt +import numpy as np +import torch + + +class AngularBispectrum: + """ + Angular bispectrum / triple correlation of polar diffraction data. + + Parameters + ---------- + polar : Polar4dstem or torch.Tensor or ndarray + Polar data with the angular axis second-to-last and the radial axis + last: (..., N_phi, N_q). Leading dimensions (scan positions, + pattern index) are flattened into an ensemble of patterns. + n_max : int + Maximum angular harmonic retained. Governs angular resolution + (~180 / n_max degrees) and cost; the bispectrum is + (2 n_max + 1)^2 per ring triple. + subtract_mean : bool + Subtract each ring's angular mean per pattern (removes the n = 0 + term, which otherwise dominates C3 with structureless offsets). + batch_size : int + Patterns per chunk when accumulating ensemble averages. + """ + + def __init__(self, polar, n_max: int = 60, subtract_mean: bool = True, + batch_size: int = 4096): + tensor = polar.tensor if hasattr(polar, "tensor") else torch.as_tensor(np.asarray(polar)) + tensor = tensor.to(torch.float64) + n_phi, n_q = tensor.shape[-2], tensor.shape[-1] + if n_max >= n_phi // 2: + n_max = n_phi // 2 - 1 + self.n_max = int(n_max) + self.n_phi = n_phi + self.n_q = n_q + self.batch_size = int(batch_size) + + data = tensor.reshape(-1, n_phi, n_q) + if subtract_mean: + data = data - data.mean(dim=1, keepdim=True) + self.n_patterns = data.shape[0] + + # angular FFT per ring; normalized so coefficients are per-radian + # Fourier amplitudes independent of the phi sampling + F = torch.fft.rfft(data, dim=1) / n_phi # (Npat, Nphi//2+1, Nq) + F = F[:, : self.n_max + 1, :] + # signed-harmonic spectrum from Hermitian symmetry of real data: + # index i <-> n = i - n_max, so F_signed[..., 0] is n = -n_max + neg = torch.conj(torch.flip(F[:, 1:, :], dims=[1])) + self.F = torch.cat([neg, F], dim=1).permute(0, 2, 1).contiguous() + # self.F: (Npat, Nq, 2*n_max+1), harmonic n at index n + n_max + self.n_values = np.arange(-self.n_max, self.n_max + 1) + + def bispectrum(self, q1: int, q2: int | None = None, q3: int | None = None): + """ + Ensemble-averaged bispectrum B(n1, n2) for the ring triple + (q1, q2, q3) (radial bin indices; q2, q3 default to q1). + + Returns + ------- + B : ndarray, complex, shape (2 n_max + 1, 2 n_max + 1) + B[i, j] with n1 = i - n_max, n2 = j - n_max. Entries with + |n1 + n2| > n_max are zero (outside the harmonic cutoff). + """ + q2 = q1 if q2 is None else q2 + q3 = q1 if q3 is None else q3 + m = self.n_max + n = self.n_values + idx = n[:, None] + n[None, :] # n1 + n2 + valid = np.abs(idx) <= m + idx_c = torch.from_numpy(np.where(valid, idx + m, 0)) + valid_t = torch.from_numpy(valid) + + B = torch.zeros((2 * m + 1, 2 * m + 1), dtype=torch.complex128) + for start in range(0, self.n_patterns, self.batch_size): + F1 = self.F[start:start + self.batch_size, q1] # (b, 2m+1) + F2 = self.F[start:start + self.batch_size, q2] + F3 = self.F[start:start + self.batch_size, q3] + F3g = F3[:, idx_c] # (b, 2m+1, 2m+1) + B += (F1[:, :, None] * F2[:, None, :] * torch.conj(F3g)).sum(dim=0) + B = B / self.n_patterns + B[~valid_t] = 0 + return B.numpy() + + def triple_correlation(self, q1: int, q2: int | None = None, + q3: int | None = None, n_delta: int = 181): + """ + Angular triple correlation C3(delta1, delta2) for the ring triple, + evaluated on an n_delta x n_delta grid over [0, 360) degrees. + + Returns + ------- + delta_deg : ndarray (n_delta,) + C3 : ndarray (n_delta, n_delta), real + """ + B = self.bispectrum(q1, q2, q3) + delta = 2 * np.pi * np.arange(n_delta) / n_delta + E = np.exp(1j * np.outer(self.n_values, delta)) # (2m+1, n_delta) + C3 = np.real(E.T @ B @ E) + return np.degrees(delta), C3 + + def plot_triple_correlation(self, q1: int, q2: int | None = None, + q3: int | None = None, n_delta: int = 181, + delta_max: float = 180.0, + title: str | None = None, + figsize: tuple[float, float] = (4.6, 4.0), + returnfig: bool = False): + """ + Plot C3(delta1, delta2) as a zero-centered map. For diffraction + data C3 is 180-deg periodic in each angle, so the default view is + [0, 180]^2. + """ + delta_deg, C3 = self.triple_correlation(q1, q2, q3, n_delta=2 * n_delta) + sel = delta_deg <= delta_max + 1e-9 + d = delta_deg[sel] + M = C3[np.ix_(sel, sel)] + vmax = np.quantile(np.abs(M), 0.999) + + fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) + im = ax.pcolormesh(d, d, M.T, cmap="RdBu_r", vmin=-vmax, vmax=vmax, + shading="auto") + ax.set_xlabel("$\\Delta_1$ (deg)") + ax.set_ylabel("$\\Delta_2$ (deg)") + ax.set_xticks(np.arange(0, delta_max + 1, 45)) + ax.set_yticks(np.arange(0, delta_max + 1, 45)) + ax.set_aspect("equal") + fig.colorbar(im, ax=ax, label="3-point correlation") + ax.set_title(title if title is not None else f"C3, ring {q1}", + fontsize=10) + if returnfig: + return fig, ax + plt.show() diff --git a/src/quantem/diffraction/padf2d.py b/src/quantem/diffraction/padf2d.py new file mode 100644 index 000000000..4816b574f --- /dev/null +++ b/src/quantem/diffraction/padf2d.py @@ -0,0 +1,166 @@ +""" +2D pair-angle distribution function for in-plane (non-isotropic) samples. + +The standard PADF assumes 3D orientation averaging and expands the +correlation in Legendre polynomials / spherical Bessel functions. For +samples that only rotate in the plane - 2D materials at zone axis, surface +layers, the FFT-of-image test geometry - the correct decomposition is +circular harmonics and Hankel (J_n Bessel) transforms: + + C_n(q, q') = < conj(I_hat_n(q)) I_hat_n(q') >_patterns (exact, + read directly from the angular FFT - no basis inversion needed) + + C_n(r, r') = (2 pi)^2 int int q q' J_n(2 pi q r) J_n(2 pi q' r') + C_n(q, q') dq dq' + + Theta(r, r', dtheta) = sum_n C_n(r, r') e^{i n dtheta} + +Compared with pushing 2D data through the 3D machinery this removes the +~2% systematic peak-position bias of the mismatched j_l kernel, needs no +SVD regularization, and has no sin(theta) sampling corrections (the 2D +angular measure is uniform). + +Friedel symmetry of single kinematic patterns makes odd n vanish, and the +relative angle folds to [0, 180]. When Friedel is broken (dynamical +scattering from a non-centrosymmetric projection), the odd harmonics are +retained naturally and the full 0-360 degree relative angle is recovered - +the 3D pipeline discards odd terms by construction. + +Class: PairAngleDistributionFunction2D +""" + +import matplotlib.pyplot as plt +import numpy as np +import torch +from scipy.special import jv + + +class PairAngleDistributionFunction2D: + """ + 2D (in-plane) pair-angle distribution function. + + Parameters + ---------- + polar : Polar4dstem or torch.Tensor or ndarray + Polar diffraction data, angular axis second-to-last, radial axis + last: (..., N_phi, N_q). Leading dims are flattened into patterns. + n_max : int + Maximum circular harmonic order retained (angular resolution + ~180 / n_max degrees). + dq : float or None + Radial calibration (q units per bin). Read from the polar dataset's + sampling when available; required otherwise. + q_min : float + q of the first radial bin (from the polar dataset when available). + r_min, r_max, r_step : float + Real-space grid, in the reciprocal units of q. + normalize_mean : bool + Normalize the intensity to unit mean (magnitude convention shared + with the 3D PADF pipeline). + batch_size : int + Patterns per chunk when accumulating C_n(q, q'). + """ + + def __init__(self, polar, n_max: int = 60, dq: float | None = None, + q_min: float | None = None, r_min: float = 0.0, + r_max: float = 20.0, r_step: float = 0.02, + normalize_mean: bool = True, batch_size: int = 4096): + if dq is None and hasattr(polar, "sampling"): + dq = float(np.asarray(polar.sampling)[3]) + if q_min is None: + q_min = float(np.asarray(polar.origin)[3]) if hasattr(polar, "origin") else 0.0 + if dq is None: + raise ValueError("dq must be given when polar carries no calibration.") + + tensor = polar.tensor if hasattr(polar, "tensor") else torch.as_tensor(np.asarray(polar)) + tensor = tensor.to(torch.float64) + n_phi, n_q = tensor.shape[-2], tensor.shape[-1] + if n_max >= n_phi // 2: + n_max = n_phi // 2 - 1 + self.n_max = int(n_max) + self.dq = float(dq) + self.q = q_min + np.arange(n_q) * self.dq + + data = tensor.reshape(-1, n_phi, n_q) + if normalize_mean: + data = data / data.mean() + n_patterns = data.shape[0] + + # circular harmonic correlation matrices C_n(q, q'), accumulated + # directly from the angular FFT (per-radian normalization) + Cn = torch.zeros((self.n_max + 1, n_q, n_q), dtype=torch.complex128) + for start in range(0, n_patterns, batch_size): + F = torch.fft.rfft(data[start:start + batch_size], dim=1) / n_phi + F = F[:, : self.n_max + 1, :] # (b, n, q) + Cn += torch.einsum("bnq,bnp->nqp", torch.conj(F), F) + self.Cn_q = (Cn / n_patterns).numpy() + + # Hankel transform of order n on both q axes, nondimensionalized by + # q_max^2 per axis (2D quadrature measure q dq / q_max^2) + r = np.arange(r_min, r_max, r_step) + self.r = r + q_max = self.q[-1] + w = 2.0 * np.pi * self.q * self.dq / q_max**2 # (Nq,) quadrature weight + arg = 2.0 * np.pi * np.outer(r, self.q) # (Nr, Nq) + self.Cn_r = np.zeros((self.n_max + 1, r.size, r.size), dtype=np.complex128) + for n in range(self.n_max + 1): + K = jv(n, arg) * w[None, :] + self.Cn_r[n] = K @ self.Cn_q[n] @ K.T + + def reconstruct(self, n_theta: int = 360, include_n0: bool = False): + """ + Reconstruct Theta(r, r', dtheta) on n_theta angles over [0, 360). + + include_n0 : keep the isotropic n = 0 term (a dtheta-independent + offset containing the uncorrelated background); excluded by + default, matching the 3D pipeline's l = 0 handling. + + Returns + ------- + theta_deg : (n_theta,) angles in degrees. + padf : (Nr, Nr, n_theta) real array. + """ + theta = 2.0 * np.pi * np.arange(n_theta) / n_theta + n0 = 0 if include_n0 else 1 + n_vals = np.arange(n0, self.n_max + 1) + # Hermitian sum: C_{-n} = conj(C_n) -> 2 Re for n > 0 + E = np.exp(1j * np.outer(n_vals, theta)) # (Nn, n_theta) + padf = 2.0 * np.real(np.einsum("nij,nt->ijt", self.Cn_r[n0:], E)) + if include_n0: + padf -= np.real(self.Cn_r[0])[:, :, None] # counted twice above + self.theta_deg = np.degrees(theta) + return self.theta_deg, padf + + def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, + theta_max: float = 360.0, r_display_power: int = 1, + title: str | None = None, + figsize: tuple[float, float] = (5.4, 3.6), + returnfig: bool = False): + """ + Map of the r = r' diagonal vs relative angle, weighted by + r^(2 * r_display_power), zero-centered RdBu_r. theta_max = 180 + shows the folded view (sufficient for Friedel-symmetric data); + 360 shows the full relative angle available when odd harmonics + are present. + """ + theta_deg, padf = self.reconstruct(n_theta=n_theta) + r = self.r + rs = r <= r_max_display + ts = theta_deg <= theta_max + 1e-9 + diag = np.einsum("iik->ik", padf)[rs][:, ts] + disp = (diag * (r[rs] ** (2 * r_display_power))[:, None]).T + interior = (theta_deg[ts] % 180 > 15) & (theta_deg[ts] % 180 < 165) + vmax = np.quantile(np.abs(disp[interior]), 0.999) + + fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) + im = ax.pcolormesh(r[rs], theta_deg[ts], disp, cmap="RdBu_r", + vmin=-vmax, vmax=vmax, shading="auto") + ax.set_xlabel("r = r' (Å)") + ax.set_ylabel("$\\Delta\\theta$ (deg)") + ax.set_yticks(np.arange(0, theta_max + 1, 45)) + fig.colorbar(im, ax=ax, label=f"$\\Theta_{{2D}} \\cdot r^{{{2 * r_display_power}}}$") + if title is not None: + ax.set_title(title, fontsize=10) + if returnfig: + return fig, ax + plt.show() From dcc97d8b3dd349a70898b6761b04b72c07ddf974 Mon Sep 17 00:00:00 2001 From: cophus Date: Wed, 12 Aug 2026 17:20:51 -0600 Subject: [PATCH 23/45] bugfixes --- src/quantem/diffraction/padf2d.py | 37 +++++++++++++++++++++++++------ 1 file changed, 30 insertions(+), 7 deletions(-) diff --git a/src/quantem/diffraction/padf2d.py b/src/quantem/diffraction/padf2d.py index 4816b574f..838d2db8b 100644 --- a/src/quantem/diffraction/padf2d.py +++ b/src/quantem/diffraction/padf2d.py @@ -54,6 +54,16 @@ class PairAngleDistributionFunction2D: q of the first radial bin (from the polar dataset when available). r_min, r_max, r_step : float Real-space grid, in the reciprocal units of q. + fq : scalar or (N_q,) array or None + Atomic form factor f(q) per radial bin; the intensity is divided by + f(q)^2 (same eq-7 rescaling as the 3D pipeline). Leaving the atom- + shape damping in shrinks the effective q range and makes the + real-space maps broad and oscillatory. Floor small values before + passing to avoid amplifying the high-q noise floor. + q_taper : float + Fraction of the radial range cosine-tapered to zero at q_max + (default 0.25). Softens the hard-cutoff ringing of the Hankel + transform; 0 disables. normalize_mean : bool Normalize the intensity to unit mean (magnitude convention shared with the 3D PADF pipeline). @@ -64,6 +74,7 @@ class PairAngleDistributionFunction2D: def __init__(self, polar, n_max: int = 60, dq: float | None = None, q_min: float | None = None, r_min: float = 0.0, r_max: float = 20.0, r_step: float = 0.02, + fq=None, q_taper: float = 0.25, normalize_mean: bool = True, batch_size: int = 4096): if dq is None and hasattr(polar, "sampling"): dq = float(np.asarray(polar.sampling)[3]) @@ -82,6 +93,15 @@ def __init__(self, polar, n_max: int = 60, dq: float | None = None, self.q = q_min + np.arange(n_q) * self.dq data = tensor.reshape(-1, n_phi, n_q) + if fq is not None: + fq_t = torch.as_tensor(np.broadcast_to(np.asarray(fq, dtype=np.float64), (n_q,)).copy()) + data = data / fq_t[None, None, :] ** 2 + if q_taper > 0: + taper = torch.ones(n_q, dtype=torch.float64) + i0 = int((1.0 - q_taper) * n_q) + ramp = np.arange(n_q - i0) / max(n_q - i0, 1) + taper[i0:] = torch.from_numpy(0.5 * (1 + np.cos(np.pi * ramp))) + data = data * taper[None, None, :] if normalize_mean: data = data / data.mean() n_patterns = data.shape[0] @@ -138,19 +158,22 @@ def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, returnfig: bool = False): """ Map of the r = r' diagonal vs relative angle, weighted by - r^(2 * r_display_power), zero-centered RdBu_r. theta_max = 180 - shows the folded view (sufficient for Friedel-symmetric data); - 360 shows the full relative angle available when odd harmonics - are present. + r^r_display_power (r^1 by default), zero-centered RdBu_r. + theta_max = 180 shows the folded view (sufficient for + Friedel-symmetric data); 360 shows the full relative angle + available when odd harmonics are present. Color limits are set + from interior angles and r <= 0.92 * r_max_display, so edge + artifacts do not compress the scale. """ theta_deg, padf = self.reconstruct(n_theta=n_theta) r = self.r rs = r <= r_max_display ts = theta_deg <= theta_max + 1e-9 diag = np.einsum("iik->ik", padf)[rs][:, ts] - disp = (diag * (r[rs] ** (2 * r_display_power))[:, None]).T + disp = (diag * (r[rs] ** r_display_power)[:, None]).T interior = (theta_deg[ts] % 180 > 15) & (theta_deg[ts] % 180 < 165) - vmax = np.quantile(np.abs(disp[interior]), 0.999) + r_inner = r[rs] <= 0.92 * r_max_display + vmax = np.quantile(np.abs(disp[np.ix_(interior, r_inner)]), 0.999) fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) im = ax.pcolormesh(r[rs], theta_deg[ts], disp, cmap="RdBu_r", @@ -158,7 +181,7 @@ def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, ax.set_xlabel("r = r' (Å)") ax.set_ylabel("$\\Delta\\theta$ (deg)") ax.set_yticks(np.arange(0, theta_max + 1, 45)) - fig.colorbar(im, ax=ax, label=f"$\\Theta_{{2D}} \\cdot r^{{{2 * r_display_power}}}$") + fig.colorbar(im, ax=ax, label=f"$\\Theta_{{2D}} \\cdot r^{{{r_display_power}}}$") if title is not None: ax.set_title(title, fontsize=10) if returnfig: From 082f507e852f7124ee87dacb3bcb249160280e3c Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Thu, 20 Aug 2026 15:21:16 -0700 Subject: [PATCH 24/45] update plotting in padf.py and bug fix in ground truth padf --- src/quantem/diffraction/PDFs_3batch.py | 63 ++++++-- src/quantem/diffraction/padf.py | 191 +++++++++++++++++++++++++ 2 files changed, 240 insertions(+), 14 deletions(-) diff --git a/src/quantem/diffraction/PDFs_3batch.py b/src/quantem/diffraction/PDFs_3batch.py index d2c4b7ecc..8f82d96c4 100644 --- a/src/quantem/diffraction/PDFs_3batch.py +++ b/src/quantem/diffraction/PDFs_3batch.py @@ -97,17 +97,8 @@ def pdf3B( dens = positions.shape[0] / volume ### making big arrays that will be filled - natoms_dens = (4 / 3 * xp.pi * hist_r_max**3) * dens - maxval_n = int(1.25 * natoms_dens**2) - vals = xp.zeros((3, maxval_n * batch_size)).astype("int") maxinds = max([len(i) for i in inds_all]) inds2 = xp.zeros((batch_size, maxinds)).astype("int") - if subpixel_weights: - weights_full = xp.empty(maxval_n * batch_size) - weights = weights_full - else: - weights_full = None - weights = None if hist_r_max > 15: split_bincount = True @@ -116,6 +107,36 @@ def pdf3B( split_bincount = False off_inds = xp.where(~xp.eye(maxinds, dtype=bool)) + ### exact upper bound: one entry per (center, pair) in the batch + maxval_n = int(off_inds[0].shape[0]) + vals = xp.zeros((3, maxval_n * batch_size)).astype("int") + if subpixel_weights: + weights_full = xp.empty(maxval_n * batch_size) + weights = weights_full + else: + weights_full = None + weights = None + + # ### making big arrays that will be filled + # natoms_dens = (4 / 3 * xp.pi * hist_r_max**3) * dens + # maxval_n = int(1.25 * natoms_dens**2) + # vals = xp.zeros((3, maxval_n * batch_size)).astype("int") + # maxinds = max([len(i) for i in inds_all]) + # inds2 = xp.zeros((batch_size, maxinds)).astype("int") + # if subpixel_weights: + # weights_full = xp.empty(maxval_n * batch_size) + # weights = weights_full + # else: + # weights_full = None + # weights = None + + # if hist_r_max > 15: + # split_bincount = True + # off_inds = xp.triu_indices(maxinds, k=1) + # else: + # split_bincount = False + # off_inds = xp.where(~xp.eye(maxinds, dtype=bool)) + vprint(f"Num total atoms in sim = {len(positions)}") if not np.all(pbcs): vprint(f"Num non-edge atoms = {len(center_inds)}") @@ -175,15 +196,29 @@ def pdf3B( theta_floor = xp.round(theta_ind).astype("int") good_vals = (r_floor1 > 1e-9) & (r_floor2 > 1e-9) & (theta_floor > 0) & (theta_floor < 180) - nvals = good_vals.sum() - vals[0, :nvals] = theta_floor[good_vals] - vals[1, :nvals] = r_floor2[good_vals] - vals[2, :nvals] = r_floor1[good_vals] + good_inds = xp.where(good_vals)[0] # Get the actual indices where good_vals is True + nvals = len(good_inds) + vals[0, :nvals] = theta_floor[good_inds] + vals[1, :nvals] = r_floor2[good_inds] + vals[2, :nvals] = r_floor1[good_inds] if subpixel_weights: weights_full[:nvals] = ( - dtheta_ind[good_vals] + dr_ind2[good_vals] + dr_ind1[good_vals] + dtheta_ind[good_inds] + dr_ind2[good_inds] + dr_ind1[good_inds] ) / 3 weights = weights_full[:nvals] + # nvals = good_vals.sum() + + # print(f"nvals: {nvals}, theta_floor[good_vals].shape: {theta_floor[good_vals].shape}") + # print(f"r_floor2[good_vals].shape: {r_floor2[good_vals].shape}, r_floor1[good_vals].shape: {r_floor1[good_vals].shape}") + + # vals[0, :nvals] = theta_floor[good_vals] + # vals[1, :nvals] = r_floor2[good_vals] + # vals[2, :nvals] = r_floor1[good_vals] + # if subpixel_weights: + # weights_full[:nvals] = ( + # dtheta_ind[good_vals] + dr_ind2[good_vals] + dr_ind1[good_vals] + # ) / 3 + # weights = weights_full[:nvals] ### Because taking triu, have to do this twice ### and doing bincount twice with half indices seems to be ~10% faster than diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 0768dda39..852db244c 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -415,6 +415,197 @@ def plot_g2_g3( return fig, (ax_g3, ax_g2) plt.show() + # Theta helper + def _range_mask(self, x, xmin, xmax): + """Return a boolean mask selecting `x` within [xmin, xmax], defaulting to all True.""" + if xmin is None and xmax is None: + return np.ones_like(x, dtype=bool) + xmin_eff = x.min() if xmin is None else xmin + xmax_eff = x.max() if xmax is None else xmax + if xmax_eff <= xmin_eff: + raise ValueError(f"xmax must be > xmin (got xmin={xmin_eff}, xmax={xmax_eff}).") + mask = (x >= xmin_eff) & (x <= xmax_eff) + if not np.any(mask): + raise ValueError("Requested plot range contains no data.") + return mask + + # Theta helper + def _nearest_index(self, x, value): + return int(np.argmin(np.abs(x - value))) + + def plot_theta( + self, + theta_deg: float, + rmin: float | None = None, + rmax: float | None = None, + r_display_power: int = 0, + r_max_display: float | None = None, + r_search_min: float = 0.5, + r_marks=None, + markers=None, + title: str | None = None, + figsize: tuple[float, float] = (6, 5), + returnfig: bool = False, + ): + """ + Plot Theta(r, r', theta) as a 2D map over the (r, r') grid at a fixed + angle theta (degrees), generalizing plot_theta0_map to any theta. + + The raw slice mixes two very different signals: a strong ridge along + r = r' (essentially the g2-like self-correlation already shown by + plot_g2_g3's bottom panel) and the much weaker off-diagonal r != r' + structure that encodes genuine 3-body angular correlations. Plotted + naively with a linear color scale, the diagonal ridge saturates the + colorbar and the off-diagonal structure disappears. This version: + + - Symmetrizes the slice over r <-> r', since swapping which atom is + "first" is just a relabeling and any asymmetry is numerical noise + from the reconstruction. + - Sets color limits from the off-diagonal region only (excluding a + small artifact zone near r = r' < r_search_min), analogous to how + plot_g2_g3 excludes the collinear theta bands when choosing vmax. + - Uses a diverging RdBu_r colormap centered at zero, since Theta can + be positive or negative. + - Optionally weights the display by (r * r')^r_display_power to + compensate for the PADF's natural radial amplitude decay. + - Draws the r = r' diagonal as a dashed reference line, and supports + the same r_marks / markers overlays as plot_g2_g3 for annotating + known neighbor distances or expected (r, r') pair maxima. + - Uses a square aspect ratio, since r and r' share the same units + and axis. + + Parameters + ---------- + theta_deg : float + Angle (degrees) at which to take the slice; snapped to the + nearest available theta bin. + rmin, rmax : float or None + Display range for both r and r' axes (Angstroms). Defaults to + [0, r_max_display]. + r_display_power : int + Display weighting exponent; the map is multiplied by + (r * r')^r_display_power. 0 plots the raw values. + r_max_display : float or None + Upper limit of both axes if rmax is not given; defaults to + min(8 A, r.max()). + r_search_min : float + Radii below this are excluded when computing the off-diagonal + color scale, avoiding r ~ 0 reconstruction artifacts. + r_marks : sequence of float or None + Radii (e.g. known neighbor shell distances) marked with dotted + lines on both axes. + markers : sequence of (r, r', [size]) or None + Expected (r, r') pair maxima overlaid as open circles; a third + element per tuple scales the marker size. + title : str or None + Figure title; a theta-value summary is used if None. + returnfig : bool + Return (fig, ax) instead of calling plt.show(). + """ + r = np.asarray(self.r) + theta_axis = np.asarray(self.theta_deg) + + padf_arr = self.padf.numpy() if hasattr(self.padf, "numpy") else np.asarray(self.padf) + theta_idx = self._nearest_index(theta_axis, theta_deg) + slice_2d = padf_arr[:, :, theta_idx] # (Nr, Nr') + + # symmetrize over r <-> r' + slice_2d = 0.5 * (slice_2d + slice_2d.T) + + if r_max_display is None: + r_max_display = float(min(8.0, r[-1])) + if rmax is None: + rmax = r_max_display + + r_mask = self._range_mask(r, rmin, rmax) + r_sel = r[r_mask] + slice_disp = slice_2d[np.ix_(r_mask, r_mask)] + + # display weighting + weight = r_sel ** r_display_power + slice_disp = slice_disp * weight[:, None] * weight[None, :] + + # color limits from off-diagonal region only, excluding a small + # zone near the origin where reconstruction artifacts dominate + keep = r_sel >= r_search_min + off_diag = ~np.eye(len(r_sel), dtype=bool) + keep_mask = np.outer(keep, keep) + sub_off = slice_disp[off_diag & keep_mask] + vmax = np.quantile(np.abs(sub_off), 0.999) if sub_off.size else np.quantile(np.abs(slice_disp), 0.999) + + fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) + im = ax.pcolormesh( + r_sel, r_sel, slice_disp.T, + cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto", + ) + fig.colorbar(im, ax=ax, label=r"$\Theta(r, r', \theta)$", pad=0.02) + + # r = r' reference line + ax.plot([r_sel[0], r_sel[-1]], [r_sel[0], r_sel[-1]], + color="k", lw=0.6, ls="--", alpha=0.5) + + if r_marks is not None: + for r_mk in r_marks: + ax.axvline(r_mk, color="k", ls=":", lw=0.8) + ax.axhline(r_mk, color="k", ls=":", lw=0.8) + + if markers is not None: + for mk in markers: + r_mk, rp_mk = mk[0], mk[1] + size = 12.0 * (mk[2] ** 0.5) if len(mk) > 2 else 10.0 + if r_mk <= r_sel[-1] and rp_mk <= r_sel[-1]: + ax.plot(r_mk, rp_mk, "o", ms=max(size, 5.0), + mfc="none", mec="k", mew=1.0) + + ax.set_aspect("equal") + ax.set_xlabel("r (Å)") + ax.set_ylabel("r' (Å)") + ax.set_title( + title if title is not None + else rf"$\Theta(r, r', \theta={theta_axis[theta_idx]:.1f}\degree)$", + fontsize=10, + ) + + if returnfig: + return fig, ax + plt.show() + + def plot_theta_simple( + self, + theta_deg: float, + rmin: float | None = None, + rmax: float | None = None, + figsize: tuple[float, float] = (6, 5), + returnfig: bool = False, + ): + """ + Plot Theta(r, r', theta) as a 2D map over the full (r, r') grid at a + fixed angle theta (degrees), generalizing plot_theta0_map to any theta. + """ + r = self.r + theta_axis = self.theta_deg + + padf_arr = self.padf.numpy() if hasattr(self.padf, "numpy") else np.asarray(self.padf) + theta_idx = self._nearest_index(theta_axis, theta_deg) + slice_2d = padf_arr[:, :, theta_idx] # (Nr, Nr') + + r_mask = self._range_mask(r, rmin, rmax) + r_sel = r[r_mask] + slice_2d = slice_2d[np.ix_(r_mask, r_mask)] + + fig, ax = plt.subplots(figsize=figsize) + im = ax.pcolormesh(r_sel, r_sel, slice_2d.T, shading="auto") + fig.colorbar(im, ax=ax, label=r"$\Theta(r, r', \theta)$") + + ax.set_xlabel("r (Å)") + ax.set_ylabel("r' (Å)") + ax.set_title(rf"$\Theta(r, r', \theta={theta_axis[theta_idx]:.1f}\degree)$") + fig.tight_layout() + + if returnfig: + return fig + plt.show() + def simple_plot(self): """ Plot the r = r' diagonal of the PADF as a 2D map with From 99b415291604f95ac64c43eff62b9cd478b1662e Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Thu, 20 Aug 2026 15:23:52 -0700 Subject: [PATCH 25/45] simple lattice simulated data --- src/quantem/diffraction/lattices.py | 456 ++++++++++++++++++++++++++ src/quantem/diffraction/multislice.py | 109 ++++++ 2 files changed, 565 insertions(+) create mode 100644 src/quantem/diffraction/lattices.py create mode 100644 src/quantem/diffraction/multislice.py diff --git a/src/quantem/diffraction/lattices.py b/src/quantem/diffraction/lattices.py new file mode 100644 index 000000000..4772c2463 --- /dev/null +++ b/src/quantem/diffraction/lattices.py @@ -0,0 +1,456 @@ +""" +Lattice test-image generation for PADF testing. + +Generates 2D "atom" images for lattices with different symmetries and +near-neighbor spacings: + - triangular (hexagonal Bravais lattice, 6-fold coordination) + - square + - honeycomb (graphene-like, 2-atom basis; called "hexagonal" informally) + - decagonal (10-fold quasilattice via the de Bruijn pentagrid method) + +All positions are computed in pixels with (row, col) ordering; bond lengths +and atom widths are specified in Angstroms and converted with pixel_size_ang. +""" + +import matplotlib.pyplot as plt +import numpy as np +from scipy.ndimage import gaussian_filter + +GOLDEN = (1 + np.sqrt(5)) / 2 + + +def gaussian_form_factor(q, atom_sigma): + """ + Scattering factor f(q) of the Gaussian atoms drawn by render_atoms: + a real-space Gaussian of width sigma transforms to + f(q) = exp(-2 pi^2 sigma^2 q^2). + + Divide diffraction intensities by f(q)^2 (e.g. via the PADF module's + `fq` argument) to undo the atom-shape damping of the ring intensities; + floor the returned values before dividing so the high-q noise floor is + not amplified. + """ + q = np.asarray(q, dtype=float) + return np.exp(-2 * np.pi**2 * atom_sigma**2 * q**2) + + +def lattice_vectors(lattice: str, bond_length: float): + """ + Return (lat, basis) for a periodic lattice with the requested bond length. + + lat : (2, 2) array, rows are the lattice vectors in Angstroms. + basis : (n_atoms, 2) array of fractional coordinates in the cell. + + The triangular and square lattices have lattice parameter equal to the + bond length. The honeycomb cell is the triangular cell scaled by sqrt(3) + because its bond length is a / sqrt(3). + """ + if lattice == "boron_nitride": + # honeycomb geometry with two species; weights looked up separately + lattice = "honeycomb" + if lattice == "triangular": + lat = np.array([ + [1.0, 0.0], + [0.5, np.sqrt(3) / 2], + ]) * bond_length + basis = np.array([[0.0, 0.0]]) + elif lattice == "square": + lat = np.array([ + [1.0, 0.0], + [0.0, 1.0], + ]) * bond_length + basis = np.array([[0.0, 0.0]]) + elif lattice == "honeycomb": + lat = np.array([ + [1.0, 0.0], + [0.5, np.sqrt(3) / 2], + ]) * (bond_length * np.sqrt(3)) + basis = np.array([ + [1 / 3, 1 / 3], + [2 / 3, 2 / 3], + ]) + else: + raise ValueError(f"Unknown lattice '{lattice}'") + return lat, basis + + +def tile_lattice(lat_px, basis, im_shape, pad_px=2.0): + """ + Tile a periodic lattice so it fully covers a rectangular image. + + Parameters + ---------- + lat_px : (2, 2) array + Lattice vectors in pixels (rows are vectors, (row, col) components). + basis : (n, 2) array + Fractional coordinates of the atoms in the cell. + im_shape : tuple + Image shape (rows, cols) in pixels. + pad_px : float + Extra margin (pixels) kept around the image so atoms straddling the + border still render correctly. + + Returns + ------- + points_px : (m, 2) array of atom positions in pixels. + + Notes + ----- + The (a, b) index range needed to cover the image is found by expressing + the four image corners in lattice coordinates: solve lat_px.T @ (a, b) = + corner for each corner. Because the image is convex, the extreme lattice + coordinates occur at the corners, so tiling the bounding index box and + cropping afterwards is guaranteed to cover the image. + """ + n_row, n_col = im_shape + corners = np.array([ + [-pad_px, -pad_px], + [-pad_px, n_col + pad_px], + [n_row + pad_px, -pad_px], + [n_row + pad_px, n_col + pad_px], + ]) + # corners and lat_px are both in PIXELS - mixing units here breaks the + # tiling range. lat_px.T is 2x2 and invertible, so solve exactly. + ab = np.linalg.solve(lat_px.T, corners.T) # (2, 4) lattice coords + # widen by 1 for the basis offsets (fractional coords in [0, 1)) + a_lo, a_hi = int(np.floor(ab[0].min())) - 1, int(np.ceil(ab[0].max())) + 1 + b_lo, b_hi = int(np.floor(ab[1].min())) - 1, int(np.ceil(ab[1].max())) + 1 + + a, b = np.meshgrid( + np.arange(a_lo, a_hi + 1), + np.arange(b_lo, b_hi + 1), # b gets its own range - a and b differ + indexing="ij", + ) + cells = np.stack([a.ravel(), b.ravel()], axis=1).astype(float) # (m, 2) + # combine every cell with every basis atom + frac = (cells[:, None, :] + basis[None, :, :]).reshape(-1, 2) + points_px = frac @ lat_px + + keep = ( + (points_px[:, 0] >= -pad_px) + & (points_px[:, 0] <= n_row + pad_px) + & (points_px[:, 1] >= -pad_px) + & (points_px[:, 1] <= n_col + pad_px) + ) + return points_px[keep] + + +def decagonal_points(radius, edge_length, gamma=None, rng=None): + """ + Vertices of a decagonal (Penrose-like) quasilattice via the de Bruijn + pentagrid dual method, out to the given radius (both in Angstroms). + + Five families of parallel grid lines with normals e_j at angles 2*pi*j/5 + and offsets gamma_j are intersected pairwise; each intersection maps to a + rhombic tile of the dual tiling whose four vertices are sums of integer + multiples of the e_j. Edges of the tiling all have length `edge_length`. + NOTE: the SHORTEST pair distance in the vertex set is the thin-rhomb + short diagonal, edge_length / GOLDEN (= 0.618 * edge_length) - scale + edge_length by GOLDEN if the shortest distance should equal a target + bond length (make_images does this). + + gamma : (5,) grid offsets. Random (generalized Penrose) by default, + which avoids the degenerate >2-line intersections of the singular + sum(gamma) = 0 case. + """ + if rng is None: + rng = np.random.default_rng(0) + if gamma is None: + gamma = rng.uniform(0.05, 0.95, 5) + angles = 2 * np.pi * np.arange(5) / 5 + e = np.stack([np.cos(angles), np.sin(angles)], axis=1) # (5, 2) + + r_lat = radius / edge_length # work in units of the edge length + nmax = int(np.ceil(r_lat)) + 2 + ns = np.arange(-nmax, nmax + 1) + + all_verts = [] + for j in range(5): + for k in range(j + 1, 5): + A = np.array([e[j], e[k]]) # (2, 2) + nj, nk = np.meshgrid(ns, ns, indexing="ij") + nj, nk = nj.ravel(), nk.ravel() + rhs = np.stack([nj + gamma[j], nk + gamma[k]]) # (2, m) + X = np.linalg.solve(A, rhs) # (2, m) intersection points + near = np.hypot(X[0], X[1]) <= r_lat + 1.5 + X, nj_s, nk_s = X[:, near], nj[near], nk[near] + proj = e @ X - gamma[:, None] # (5, m) + K = np.ceil(proj) + for da in (0.0, 1.0): + for db in (0.0, 1.0): + Kv = K.copy() + # on the two defining grids the projection is exactly + # integer; set those indices explicitly (ceil is + # numerically unstable there) + Kv[j] = nj_s + da + Kv[k] = nk_s + db + all_verts.append(Kv.T @ e) # (m, 2) + + verts = np.vstack(all_verts) + verts = np.unique(np.round(verts, 6), axis=0) + verts = verts[np.hypot(verts[:, 0], verts[:, 1]) <= r_lat] + return verts * edge_length + + +# per-basis-atom scattering weights (relative); default is 1 for every atom. +# boron_nitride: honeycomb with B (Z=5) on one sublattice, N (Z=7) on the +# other - the projection loses its inversion center, so dynamical scattering +# can violate Friedel symmetry (unlike every other lattice here). +BASIS_WEIGHTS = { + "boron_nitride": (5.0 / 7.0, 1.0), +} + +SHELL_MULTS = { + "triangular": (1.0, np.sqrt(3), 2.0), + "square": (1.0, np.sqrt(2), 2.0), + "honeycomb": (1.0, np.sqrt(3), 2.0), + "boron_nitride": (1.0, np.sqrt(3), 2.0), + # decagonal: shortest-distance pairs (thin-rhomb diagonals) are rare; + # the strong shells are tile edges (phi d), the thick-rhomb short + # diagonal (2 sin36 phi d = 1.902 d), and phi^2 d + "decagonal": (GOLDEN, 2 * np.sin(np.radians(36)) * GOLDEN, GOLDEN**2), +} + + +def bond_angle_targets(lattice, bond_length, tol_frac=0.03): + """ + Expected (r', theta) maxima of the 3-body (PADF) correlation when one + arm is fixed on a 1st-shell bond: for every central atom, one arm goes + to a 1st-shell neighbor and the other to a 1st / 2nd / 3rd shell + neighbor; collect the shell distance r' and the angle between the arms. + + 1st: O--O 2nd: O----O 3rd: O------O + | | | + O O O + + Computed numerically by enumerating a patch of the actual lattice + (shell distances from SHELL_MULTS; for the decagonal quasilattice the + "1st shell" arm is the tile edge at GOLDEN * bond_length, its dominant + pair distance). + + Returns + ------- + targets : list of (r_shell, angles_deg, weights) + One entry per shell. angles_deg are the distinct arm-arm angles in + [0, 180] (degrees); weights are the relative multiplicities of each + angle (normalized to the most frequent). + """ + shells = [m * bond_length for m in SHELL_MULTS[lattice]] + span = shells[-1] * 2.5 + if lattice == "decagonal": + pts = decagonal_points(span + 2 * bond_length, bond_length * GOLDEN, + rng=np.random.default_rng(0)) + else: + lat, basis = lattice_vectors(lattice, bond_length) + n_cell = int(np.ceil(span / bond_length)) + 2 + a, b = np.meshgrid(np.arange(-n_cell, n_cell + 1), + np.arange(-n_cell, n_cell + 1), indexing="ij") + cells = np.stack([a.ravel(), b.ravel()], axis=1).astype(float) + frac = (cells[:, None, :] + basis[None, :, :]).reshape(-1, 2) + pts = frac @ lat + pts = pts[np.hypot(pts[:, 0], pts[:, 1]) <= span] + + tol = tol_frac * bond_length + 1e-9 + radii = np.hypot(pts[:, 0], pts[:, 1]) + # central atoms far enough from the patch edge to see all shells + centers = pts[radii <= span - shells[-1] - tol] + + targets = [] + diff_all = pts[None, :, :] - centers[:, None, :] # (Nc, Np, 2) + dist_all = np.hypot(diff_all[..., 0], diff_all[..., 1]) + arm_mask = np.abs(dist_all - shells[0]) < tol + for r_shell in shells: + partner_mask = np.abs(dist_all - r_shell) < tol + angles = [] + for i in range(centers.shape[0]): + arms = diff_all[i][arm_mask[i]] + partners = diff_all[i][partner_mask[i]] + if arms.size == 0 or partners.size == 0: + continue + cosang = (arms @ partners.T) / ( + np.hypot(arms[:, 0], arms[:, 1])[:, None] + * np.hypot(partners[:, 0], partners[:, 1])[None, :] + ) + ang = np.degrees(np.arccos(np.clip(cosang, -1, 1))).ravel() + # drop the self-pair (same vector for both arms -> angle 0) + if abs(r_shell - shells[0]) < tol: + ang = ang[ang > 0.5] + angles.append(ang) + ang = np.concatenate(angles) + # cluster to distinct angles (1 degree bins) + vals, counts = np.unique(np.round(ang).astype(int), return_counts=True) + keep = counts > 0.05 * counts.max() + vals, counts = vals[keep], counts[keep] + # merge adjacent-degree bins + merged_vals, merged_wts = [], [] + for v, c in zip(vals, counts): + if merged_vals and v - merged_vals[-1][-1] <= 1: + merged_vals[-1].append(v) + merged_wts[-1] += c + else: + merged_vals.append([v]) + merged_wts.append(c) + angs = np.array([float(np.mean(g)) for g in merged_vals]) + wts = np.array(merged_wts, dtype=float) + targets.append((float(r_shell), angs, wts / wts.max())) + return targets + + +def render_atoms(points_px, im_shape, atom_sigma_px, weights=None): + """ + Render atoms as Gaussians of width atom_sigma_px (pixels): bilinear + deposition of one weight per atom onto a padded grid, then a Gaussian + blur, then crop. Atoms slightly outside the image contribute their + in-image tails, as they would in a real micrograph. + + weights : per-atom deposit weights (e.g. relative scattering strengths + of different species); defaults to 1 for every atom. + """ + n_row, n_col = im_shape + p = int(np.ceil(4 * atom_sigma_px + 2)) # padding so border atoms blur in + im = np.zeros((n_row + 2 * p, n_col + 2 * p)) + + pts = points_px + p + w = np.ones(pts.shape[0]) if weights is None else np.asarray(weights, dtype=float) + keep = ( + (pts[:, 0] >= 0) & (pts[:, 0] < im.shape[0] - 1) + & (pts[:, 1] >= 0) & (pts[:, 1] < im.shape[1] - 1) + ) + pts, w = pts[keep], w[keep] + r0 = np.floor(pts[:, 0]).astype(int) + c0 = np.floor(pts[:, 1]).astype(int) + dr = pts[:, 0] - r0 + dc = pts[:, 1] - c0 + np.add.at(im, (r0, c0), w * (1 - dr) * (1 - dc)) + np.add.at(im, (r0, c0 + 1), w * (1 - dr) * dc) + np.add.at(im, (r0 + 1, c0), w * dr * (1 - dc)) + np.add.at(im, (r0 + 1, c0 + 1), w * dr * dc) + + im = gaussian_filter(im, atom_sigma_px) + return im[p:-p, p:-p] + + +def make_images( + im_shape=(256, 256), + pixel_size_ang=0.2, + atom_sigma_ang=0.4, + bond_length_ang=(2.0, 2.5, 3.0), + lattices=("triangular", "square", "honeycomb", "decagonal"), + rotation_deg=None, + seed=0, + plot_images=True, +): + """ + Generate lattice test images for every (lattice, bond length) pair. + + Parameters + ---------- + im_shape : tuple + Image shape (rows, cols) in pixels. + pixel_size_ang : float + Pixel size in Angstroms. + atom_sigma_ang : float + Gaussian atom width (sigma) in Angstroms. + bond_length_ang : sequence of float + Near-neighbor bond lengths to generate. For every lattice type + (including decagonal) this is the SHORTEST pair distance in the + generated points. + lattices : sequence of str + Any of "triangular", "square", "honeycomb", "decagonal". + rotation_deg : float or None + In-plane lattice rotation. None draws a random angle per image so no + lattice aligns with the pixel grid (avoids FFT axis artifacts). + seed : int + Seed for the rotation angles and quasilattice offsets. + plot_images : bool + Show a grid of the generated images. + + Returns + ------- + data : list of (rows, cols) float arrays + info : list of dicts with keys + lattice, bond_length_ang, rotation_deg, pixel_size_ang, num_atoms, + positions_ang (the (row, col) atom coordinates in Angstroms that + were rendered into the image, e.g. for building an ase.Atoms + ground truth structure) + """ + rng = np.random.default_rng(seed) + n_row, n_col = im_shape + atom_sigma_px = atom_sigma_ang / pixel_size_ang + center_px = np.array([(n_row - 1) / 2, (n_col - 1) / 2]) + + data = [] + info = [] + for lattice in lattices: + for bond in bond_length_ang: + theta = ( + rng.uniform(0, 360) if rotation_deg is None else float(rotation_deg) + ) + t = np.deg2rad(theta) + R = np.array([[np.cos(t), -np.sin(t)], [np.sin(t), np.cos(t)]]) + + if lattice == "decagonal": + # Tile edges are scaled by the golden ratio so the SHORTEST + # pair distance in the vertex set (the thin-rhomb diagonal, + # edge / GOLDEN) equals the requested bond length. Pair + # distances are then bond, GOLDEN * bond (tile edges), ... + radius = 0.5 * np.hypot(n_row, n_col) * pixel_size_ang + 2 * bond + pts_ang = decagonal_points(radius, bond * GOLDEN, rng=rng) + pts_px = (pts_ang @ R.T) / pixel_size_ang + center_px + pad = 2.0 + keep = ( + (pts_px[:, 0] >= -pad) & (pts_px[:, 0] <= n_row + pad) + & (pts_px[:, 1] >= -pad) & (pts_px[:, 1] <= n_col + pad) + ) + pts_px = pts_px[keep] + weights = None + else: + lat, basis = lattice_vectors(lattice, bond) + lat_px = (lat @ R.T) / pixel_size_ang + basis_weights = BASIS_WEIGHTS.get(lattice) + if basis_weights is None: + pts_px = tile_lattice(lat_px, basis, im_shape) + weights = None + else: + # tile each basis atom separately so it keeps its weight + pts_list, wt_list = [], [] + for b_frac, b_w in zip(basis, basis_weights): + pts_b = tile_lattice(lat_px, b_frac[None, :], im_shape) + pts_list.append(pts_b) + wt_list.append(np.full(pts_b.shape[0], b_w)) + pts_px = np.vstack(pts_list) + weights = np.concatenate(wt_list) + + data.append(render_atoms(pts_px, im_shape, atom_sigma_px, weights=weights)) + info.append({ + "lattice": lattice, + "bond_length_ang": bond, + "rotation_deg": theta, + "pixel_size_ang": pixel_size_ang, + "atom_sigma_ang": atom_sigma_ang, + "num_atoms": pts_px.shape[0], + "basis_weights": BASIS_WEIGHTS.get(lattice), + "positions_ang": pts_px * pixel_size_ang, + }) + + if plot_images: + n_bond = len(bond_length_ang) + n_lat = len(lattices) + fig, axs = plt.subplots( + n_lat, n_bond, + figsize=(3 * n_bond, 3 * n_lat), + squeeze=False, + ) + for i, (im, meta) in enumerate(zip(data, info)): + ax = axs[i // n_bond, i % n_bond] + ax.imshow(im, cmap="gray") + ax.set_title( + f"{meta['lattice']}, d = {meta['bond_length_ang']:.2f} $\\AA$", + fontsize=9, + ) + ax.set_xticks([]) + ax.set_yticks([]) + fig.tight_layout() + plt.show() + + return data, info diff --git a/src/quantem/diffraction/multislice.py b/src/quantem/diffraction/multislice.py new file mode 100644 index 000000000..2a60cf320 --- /dev/null +++ b/src/quantem/diffraction/multislice.py @@ -0,0 +1,109 @@ +""" +Repeat-slice multislice propagation for the PADF test lattices. + +Treats a 2D lattice image as the projected potential of one slice and +propagates a plane wave through n_slices identical copies (AA stacking) - +a minimal dynamical-diffraction model of a column structure. With a +NON-centrosymmetric projection (e.g. the boron_nitride lattice), multiple +scattering violates Friedel symmetry: odd angular harmonics appear in the +diffraction rings and grow with thickness. Centrosymmetric projections +(triangular, honeycomb, square) keep I(q) = I(-q) at any thickness. + +For quantitative work use abTEM with a real 3D structure; this module is +for fast, controlled tests of how dynamical scattering perturbs +correlation / PADF / bispectrum observables. +""" + +import numpy as np + + +def circular_window(shape): + """ + Radially symmetric Hann window: w = cos^2(pi rho / 2R) with R half the + smaller image dimension, zero outside. Unlike the separable 2D Hann + (outer product of 1D windows), its FFT skirt is isotropic, so the + windowed central beam carries no spurious 4-fold angular structure + into the correlations. + """ + n_row, n_col = shape + row = np.arange(n_row) - (n_row - 1) / 2 + col = np.arange(n_col) - (n_col - 1) / 2 + rho = np.hypot(row[:, None], col[None, :]) + R = min(n_row, n_col) / 2.0 + w = np.cos(0.5 * np.pi * np.minimum(rho / R, 1.0)) ** 2 + return w + + +def electron_wavelength(voltage_kv: float) -> float: + """Relativistic electron wavelength in Angstroms.""" + v = voltage_kv * 1e3 + h = 6.62607015e-34 + m0 = 9.1093837015e-31 + e = 1.602176634e-19 + c = 2.99792458e8 + lam = h / np.sqrt(2 * m0 * e * v * (1 + e * v / (2 * m0 * c**2))) + return lam * 1e10 + + +def multislice( + potential, + pixel_size_ang: float, + n_slices: int, + slice_thickness_ang: float = 3.33, + voltage_kv: float = 80.0, + phase_per_slice: float = 0.15, +): + """ + Propagate a plane wave through n_slices copies of the same 2D potential. + + Parameters + ---------- + potential : (N, N) array + Projected potential of one slice (arbitrary units; normalized + internally so its maximum produces `phase_per_slice` radians). + pixel_size_ang : float + Real-space pixel size in Angstroms. + n_slices : int + Number of identical slices (thickness = n_slices * slice_thickness). + slice_thickness_ang : float + Slice spacing in Angstroms (3.33 = graphite/h-BN interlayer). + voltage_kv : float + Accelerating voltage in kV (sets the Fresnel propagator). + phase_per_slice : float + Peak phase shift (radians) of one slice at the strongest atom. + n_slices = 1 with a small value approaches the kinematic limit. + + Returns + ------- + psi : (N, N) complex exit wave. + """ + pot = np.asarray(potential, dtype=np.float64) + n_row, n_col = pot.shape + lam = electron_wavelength(voltage_kv) + + transmission = np.exp(1j * phase_per_slice * pot / pot.max()) + + q_row = np.fft.fftfreq(n_row, d=pixel_size_ang) + q_col = np.fft.fftfreq(n_col, d=pixel_size_ang) + q2 = q_row[:, None] ** 2 + q_col[None, :] ** 2 + propagator = np.exp(-1j * np.pi * lam * slice_thickness_ang * q2) + # standard 2/3 bandwidth limit to prevent aliasing of scattered orders + q_max = min(np.abs(q_row).max(), np.abs(q_col).max()) + propagator *= q2 <= (2.0 / 3.0 * q_max) ** 2 + + psi = np.ones((n_row, n_col), dtype=np.complex128) + for _ in range(n_slices): + psi = np.fft.ifft2(np.fft.fft2(psi * transmission) * propagator) + return psi + + +def diffraction_intensity(psi, window: bool = True): + """ + Diffraction intensity of an exit wave: |FFT(psi * w)|^2, fftshifted, + with a circular (radial Hann) window so the finite-field skirt is + isotropic. The DC (unscattered beam) still dominates; downstream + analysis should treat it like the experimental central beam. + """ + if window: + psi = psi * circular_window(psi.shape) + return np.abs(np.fft.fftshift(np.fft.fft2(psi))) ** 2 From 68f514ec894a315cf214d342a39bdf3704b638d2 Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Fri, 21 Aug 2026 15:49:59 -0700 Subject: [PATCH 26/45] new diagonal plot in padf.py --- src/quantem/diffraction/padf.py | 107 ++++++++++++++++++++++++++++++++ 1 file changed, 107 insertions(+) diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 852db244c..605f05fbc 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -433,6 +433,111 @@ def _range_mask(self, x, xmin, xmax): def _nearest_index(self, x, value): return int(np.argmin(np.abs(x - value))) + def plot_diagonal( + self, + rmin: float | None = None, + rmax: float | None = None, + r_display_power: int = 0, + r_max_display: float | None = None, + r_search_min: float = 0.5, + r_marks=None, + markers=None, + title: str | None = None, + figsize: tuple[float, float] = (7, 5), + returnfig: bool = False, + ): + """ + Plot the r = r' diagonal of the PADF, Theta(r, r, theta), as a 2D map + with r on the x-axis (Angstrom) and theta on the y-axis (degrees). + + This is the same quantity plotted by plotting.plot_diagonal(), but with + the display treatment used elsewhere in padf.py (plot_g2_g3, plot_theta): + + - Color limits are taken from a quantile of the interior angular range + (15-165 deg) only, so the collinear theta = 0 / 180 deg bands (which + are typically much larger in magnitude) saturate the colorbar instead + of compressing it and hiding the interior angular structure. + - A diverging RdBu_r colormap centered at zero is used, since Theta can + be positive or negative. + - The map can optionally be weighted by r^(2 * r_display_power) to + compensate the PADF's natural radial amplitude decay (0 = raw values). + - r_marks / markers overlays support annotating known neighbor-shell + radii or expected (r, theta) maxima, matching plot_g2_g3's conventions. + + Parameters + ---------- + rmin, rmax : float or None + Radial display range (Angstrom). Defaults to [0, r_max_display]. + r_display_power : int + Display weighting exponent; the map is multiplied by + r^(2 * r_display_power). 0 plots the raw values. + r_max_display : float or None + Upper limit of the radial axis if rmax is not given; defaults to + min(8 A, r.max()). + r_search_min : float + Radii below this are excluded when computing the color scale, + avoiding r ~ 0 reconstruction artifacts. + r_marks : sequence of float or None + Radii (e.g. neighbor shell distances) marked with dotted vertical + lines. + markers : sequence of (r, theta_deg) or (r, theta_deg, size) or None + Expected diagonal maxima overlaid as open circles; a third element + per tuple scales the marker size (relative multiplicity). + title : str or None + Figure title; a default is used if None. + returnfig : bool + Return (fig, ax) instead of calling plt.show(). + """ + r = np.asarray(self.r) + theta_deg = np.asarray(self.theta_deg) + arr = self.padf.numpy() if hasattr(self.padf, "numpy") else np.asarray(self.padf) + + diag = np.einsum("iik->ik", arr) # (Nr, Ntheta) + + if r_max_display is None: + r_max_display = float(min(8.0, r[-1])) + if rmax is None: + rmax = r_max_display + + r_mask = self._range_mask(r, rmin, rmax) + r_sel = r[r_mask] + diag_sel = diag[r_mask, :] # (Nr_sel, Ntheta) + + weight = r_sel ** (2 * r_display_power) + diag_disp = (diag_sel * weight[:, None]).T # (Ntheta, Nr_sel) + + interior = (theta_deg > 15) & (theta_deg < 165) + keep_r = r_sel >= r_search_min + sub = diag_disp[np.ix_(interior, keep_r)] + vmax = np.quantile(np.abs(sub), 0.999) if sub.size else np.quantile(np.abs(diag_disp), 0.999) + + fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) + im = ax.pcolormesh( + r_sel, theta_deg, diag_disp, + cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto", + ) + fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$", pad=0.02) + + if r_marks is not None: + for r_mk in r_marks: + ax.axvline(r_mk, color="k", ls=":", lw=0.8) + + if markers is not None: + for mk in markers: + r_mk, t_mk = mk[0], mk[1] + size = 12.0 * (mk[2] ** 0.5) if len(mk) > 2 else 10.0 + if r_mk <= r_sel[-1]: + ax.plot(r_mk, t_mk, "o", ms=max(size, 5.0), mfc="none", mec="k", mew=1.0) + + ax.set_yticks(np.arange(0, 181, 45)) + ax.set_xlabel("r = r' (Å)") + ax.set_ylabel(r"$\theta$ (degrees)") + ax.set_title(title if title is not None else "PADF diagonal", fontsize=10) + + if returnfig: + return fig, ax + plt.show() + def plot_theta( self, theta_deg: float, @@ -570,6 +675,8 @@ def plot_theta( return fig, ax plt.show() + ########################## OBSOLETE ########################## + def plot_theta_simple( self, theta_deg: float, From e64f0f5c8742b7cb2ce9f2ffbc58d56817e28755 Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Fri, 21 Aug 2026 15:51:19 -0700 Subject: [PATCH 27/45] clearer ground truth plotting --- src/quantem/diffraction/PDF_show.py | 314 ++++++++++++++++++++++++++++ 1 file changed, 314 insertions(+) create mode 100644 src/quantem/diffraction/PDF_show.py diff --git a/src/quantem/diffraction/PDF_show.py b/src/quantem/diffraction/PDF_show.py new file mode 100644 index 000000000..fe0dbd88e --- /dev/null +++ b/src/quantem/diffraction/PDF_show.py @@ -0,0 +1,314 @@ +import matplotlib.pyplot as plt +import numpy as np +import matplotlib as mpl +from mpl_toolkits.axes_grid1.axes_divider import make_axes_locatable + + +def plot_RDF3b( + gr, + dtheta, + dr, + theta_slices=None, + r_slices=None, + log=False, + title=None, + cbar=False, + aspect=None, + intensity_range = "ordered", + vmin=None, + vmax=None, + **kwargs, +): + def rFormatter(x, pos): + return f"{x*dr:.3g}" + + def thetaFormatter(x, pos): + return f"{x*dtheta:.3g}" + + # alias + r_slices = kwargs.pop("r_slice", None) if r_slices is None else r_slices + theta_slices = ( + kwargs.pop("theta_slice", None) if theta_slices is None else theta_slices + ) + + cmap = kwargs.pop("cmap", "magma") + origin = kwargs.pop("origin", "lower") + if aspect is None: + aspect = "auto" + aspect_num = 1 + else: + aspect_num = aspect + + plot_thetas = False if theta_slices is None else True + plot_rs = False if r_slices is None else True + if plot_thetas == plot_rs: + print(f"Theta slices: {theta_slices} -- {plot_thetas}") + print(f"r slices: {r_slices} -- {plot_rs}") + print("Currently plots theta slices or r slices, not both (or neither)") + return + + val_slices = theta_slices if plot_thetas else r_slices + dind = dtheta if plot_thetas else dr + + if isinstance(val_slices, str): + if val_slices.lower() not in ["peak", "max"]: + print(f"Wrong val slices given {val_slices}") + print("Expected 'peak' or 'max'") + return + if plot_rs: + val_slices = np.unravel_index(np.argmax(gr), gr.shape)[1] * dr + elif plot_thetas: + val_slices = np.unravel_index(np.argmax(gr), gr.shape)[0] * dr + + if isinstance(val_slices, (int, float)): + int_slice = int(round(val_slices / dind)) + ind_slices = np.array([(int_slice, int_slice + 1)]) + val_slices = [val_slices] + elif isinstance(val_slices, (tuple, list, np.ndarray)): + if np.ndim(val_slices) == 1: + int_slices = np.round(np.array(val_slices) / dind).astype("int") + ind_slices = np.array([[sl, sl + 1] for sl in int_slices]) + elif np.ndim(val_slices) == 2: + ind_slices = np.array( + [np.round(np.array(sl) / dind) for sl in val_slices] + ).astype("int") + + ncols = len(ind_slices) + figsize = kwargs.pop("figsize", (ncols * 4 * aspect_num, 3)) + fig, axs = plt.subplots(ncols=ncols, nrows=1, figsize=figsize) + if ncols == 1: + axs = [axs] + for i, (ax, slice) in enumerate(zip(axs, ind_slices)): + if np.ndim(val_slices[i]) == 0: + slice_title = str(round(val_slices[i], 3)) + elif np.ndim(val_slices[i]) == 1: + islice = np.round(val_slices[i], 3) + slice_title = f"{islice[0]} : {islice[1]}" + if plot_thetas: + gslice = gr[slice[0] : slice[1]].mean(axis=0) + yformatter = rFormatter + ax.set_title(f"$\\theta = {slice_title}^\\circ$") + if i == 0: + ax.set_ylabel(f"r2 (A)") + elif plot_rs: + gslice = gr[:, slice[0] : slice[1]].mean(axis=1) + yformatter = thetaFormatter + ax.set_title(f"r2 = {slice_title} A") + if i == 0: + ax.set_ylabel(f"$\\theta$ (deg)") + if log: + _mask = gslice > 0.0 + gslice[_mask] = np.log(gslice[_mask]) + gslice[~_mask] = 0 + + if intensity_range == "ordered": + vmin = 0.001 if vmin is None else vmin + vmax = 0.999 if vmax is None else vmax + vals = np.sort(gslice.ravel()) + ind_vmin = np.round((vals.shape[0] - 1) * vmin).astype("int") + ind_vmax = np.round((vals.shape[0] - 1) * vmax).astype("int") + ind_vmin = np.max([0, ind_vmin]) + ind_vmax = np.min([len(vals) - 1, ind_vmax]) + vmin_ax = vals[ind_vmin] + vmax_ax = vals[ind_vmax] + else: + vmin_ax, vmax_ax = vmin, vmax + + im = ax.matshow(gslice, cmap=cmap, origin=origin, aspect=aspect, vmin=vmin_ax, vmax=vmax_ax, **kwargs) + ax.set_xlabel(f"r1 (A)") + ax.yaxis.set_major_formatter(mpl.ticker.FuncFormatter(yformatter)) + ax.xaxis.set_major_formatter(mpl.ticker.FuncFormatter(rFormatter)) + ax.xaxis.tick_bottom() + ax.tick_params(direction="out") + + if cbar: + cax = fig.colorbar(im, ax=ax, fraction=0.046, pad=0.04, label=str(kwargs.get("cbar_title", ""))) + + fig.subplots_adjust(wspace=0.35 if cbar else 0.15) + + if title is not None: + fig.suptitle(title, y=1.02) + + return + +def plot_r1r2_RDF3b(gr, dtheta, dr, log=False, title="", cbar=False, aspect=None, intensity_range="ordered", ax=None, **kwargs): + "theta_slice and r_slice given in deg and angstroms respectively" + + def rFormatter(x, pos): + return f"{x*dr:.3g}" + + def thetaFormatter(x, pos): + return f"{x*dtheta:.3g}" + + cmap = kwargs.pop("cmap", "magma") + origin = kwargs.pop("origin", "lower") + + gr_r1r2 = np.array([np.diag(gr[i]) for i in range(gr.shape[0])]) + if log: + _mask = gr_r1r2 > 0.0 + gr_r1r2[_mask] = np.log(gr_r1r2[_mask]) + gr_r1r2[~_mask] = 0 + + if aspect is None: + aspect = gr_r1r2.shape[0] / gr_r1r2.shape[1] + + if ax == None: + fig, ax = plt.subplots(figsize=kwargs.pop("figsize", (5, 5*aspect))) + else: + fig = ax.get_figure() + + if intensity_range == "ordered": + vmin = kwargs.pop("vmin", 0.001) + vmax = kwargs.pop("vmax", 0.999) + vals = np.sort(gr_r1r2.ravel()) + ind_vmin = np.round((vals.shape[0] - 1) * vmin).astype("int") + ind_vmax = np.round((vals.shape[0] - 1) * vmax).astype("int") + ind_vmin = np.max([0, ind_vmin]) + ind_vmax = np.min([len(vals) - 1, ind_vmax]) + vmin_ax = vals[ind_vmin] + vmax_ax = vals[ind_vmax] + else: + vmin_ax = kwargs.pop("vmin", None) + vmax_ax = kwargs.pop("vmax", None) + + im = ax.matshow(gr_r1r2, cmap=cmap, origin=origin, vmin=vmin_ax, vmax=vmax_ax, **kwargs) + ax.set_ylabel(f"$\\theta$ (deg)") + ax.set_xlabel(f"r1 = r2 (A)") + ax.set_title(title) + ax.yaxis.set_major_formatter(mpl.ticker.FuncFormatter(thetaFormatter)) + ax.xaxis.set_major_formatter(mpl.ticker.FuncFormatter(rFormatter)) + ax.set_yticks(np.arange(0, 190, 30) / dtheta) + + ax.xaxis.tick_bottom() + ax.tick_params(direction="out") + + if cbar: + ax_divider = make_axes_locatable(ax) + c_axis = ax_divider.append_axes("right", size="4%", pad="2%") + fig.colorbar(im, cax=c_axis, format="%g", label=str(kwargs.pop("cbar_title", ""))) + + # plt.show() + return ax + +def plot_diagonal_grtruth( + gr, + dtheta, + dr, + r_search_min: float = 0.5, + r_max_display: float | None = None, + r_display_power: int = 0, + vmax_quantile: float = 0.999, + r_marks=None, + markers=None, + cmap: str = "magma", + title: str | None = None, + figsize: tuple[float, float] = (7, 5), + ax=None, + cbar: bool = True, + returnfig: bool = False, +): + """ + Plot the r = r' diagonal of a ground-truth 3-body PADF, gr(r, r, theta), + as a 2D map with r on the x-axis (Angstrom) and theta on the y-axis + (degrees). + + This is the same quantity plotted by PDF_show.plot_r1r2_RDF3b(), but with + a fix for its main visibility problem: gr's normalization divides by + r1^2 * r2^2, so bins at very small r (just above the exactly-zeroed r=0 + bin) can take on enormous values that are a normalization artifact, not + real structure. plot_r1r2_RDF3b computes its percentile color scale over + the whole diagonal image, so that artifact dominates the scale and washes + out the genuine, physically meaningful peaks at larger r. + + Following the approach used by padf.py's plot_g2_g3() for an analogous + problem, the color scale here is instead computed as a quantile taken + only over r > r_search_min, excluding the small-r artifact region. Since + gr is non-negative everywhere (histogram counts divided by positive + normalization factors), a sequential colormap with vmin=0 is used. + + Parameters + ---------- + gr : ndarray, shape (Ntheta, Nr, Nr) + Ground-truth 3-body PADF, as returned by PDF3B.pdf3B(). + dtheta, dr : float + Bin widths (degrees, Angstrom) used to build gr. + r_search_min : float + Radii below this are excluded when computing the color scale, + avoiding the small-r normalization artifact. + r_max_display : float or None + Upper limit of the radial axis; defaults to min(8 A, r.max()). + r_display_power : int + Display weighting exponent; the map is multiplied by + r^(2 * r_display_power). 0 plots the raw values. + vmax_quantile : float + Quantile (over the r > r_search_min region) used as the color-scale + maximum. + r_marks : sequence of float or None + Radii (e.g. neighbor shell distances) marked with dotted vertical + lines. + markers : sequence of (r, theta_deg) or (r, theta_deg, size) or None + Expected diagonal maxima overlaid as open circles; a third element + per tuple scales the marker size (relative multiplicity). + title : str or None + Figure title; a default is used if None. + ax : matplotlib Axes or None + Axes to draw into; a new figure/axes is created if None. + cbar : bool + Whether to draw a colorbar. + returnfig : bool + Return (fig, ax) instead of calling plt.show(). + """ + gr = np.asarray(gr) + ntheta, nr = gr.shape[0], gr.shape[1] + + r = np.arange(nr) * dr + theta_deg = np.arange(ntheta) * dtheta + + diag = np.array([np.diag(gr[i]) for i in range(ntheta)]) # (Ntheta, Nr) + + if r_max_display is None: + r_max_display = float(min(8.0, r[-1])) + + r_mask = r <= r_max_display + r_sel = r[r_mask] + diag_sel = diag[:, r_mask] + + weight = r_sel ** (2 * r_display_power) + diag_disp = diag_sel * weight[None, :] + + artifact_free = r_sel > r_search_min + vals = diag_disp[:, artifact_free] if np.any(artifact_free) else diag_disp + vmax = np.quantile(vals, vmax_quantile) if vals.size else diag_disp.max() + + if ax is None: + fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) + else: + fig = ax.get_figure() + + im = ax.pcolormesh( + r_sel, theta_deg, diag_disp, + cmap=cmap, vmin=0, vmax=vmax, shading="auto", + ) + + if r_marks is not None: + for r_mk in r_marks: + ax.axvline(r_mk, color="w", ls=":", lw=0.8) + + if markers is not None: + for mk in markers: + r_mk, t_mk = mk[0], mk[1] + size = 12.0 * (mk[2] ** 0.5) if len(mk) > 2 else 10.0 + if r_mk <= r_sel[-1]: + ax.plot(r_mk, t_mk, "o", ms=max(size, 5.0), mfc="none", mec="w", mew=1.0) + + ax.set_yticks(np.arange(0, 181, 30)) + ax.set_xlabel("r = r' (Å)") + ax.set_ylabel(r"$\theta$ (degrees)") + ax.set_title(title if title is not None else "Ground-truth PADF diagonal", fontsize=10) + + if cbar: + fig.colorbar(im, ax=ax, label="g(r, r, θ)", pad=0.02) + + if returnfig: + return fig, ax + plt.show() From 02bcfea4a78cb4928750bb61de55a517b9612e45 Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Sat, 22 Aug 2026 12:57:11 -0700 Subject: [PATCH 28/45] update color scaling in plot_diagonal --- src/quantem/diffraction/padf.py | 196 +++++++++++++++++--------------- 1 file changed, 105 insertions(+), 91 deletions(-) diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 605f05fbc..935e6a23e 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -415,129 +415,166 @@ def plot_g2_g3( return fig, (ax_g3, ax_g2) plt.show() - # Theta helper - def _range_mask(self, x, xmin, xmax): - """Return a boolean mask selecting `x` within [xmin, xmax], defaulting to all True.""" - if xmin is None and xmax is None: - return np.ones_like(x, dtype=bool) - xmin_eff = x.min() if xmin is None else xmin - xmax_eff = x.max() if xmax is None else xmax - if xmax_eff <= xmin_eff: - raise ValueError(f"xmax must be > xmin (got xmin={xmin_eff}, xmax={xmax_eff}).") - mask = (x >= xmin_eff) & (x <= xmax_eff) - if not np.any(mask): - raise ValueError("Requested plot range contains no data.") - return mask - - # Theta helper - def _nearest_index(self, x, value): - return int(np.argmin(np.abs(x - value))) - def plot_diagonal( self, rmin: float | None = None, rmax: float | None = None, - r_display_power: int = 0, + r_display_power: int = 1, r_max_display: float | None = None, - r_search_min: float = 0.5, + interior_theta_deg: tuple[float, float] = (15.0, 165.0), r_marks=None, markers=None, title: str | None = None, - figsize: tuple[float, float] = (7, 5), + figsize: tuple[float, float] = (4.8, 4.4), returnfig: bool = False, ): """ - Plot the r = r' diagonal of the PADF, Theta(r, r, theta), as a 2D map - with r on the x-axis (Angstrom) and theta on the y-axis (degrees). - - This is the same quantity plotted by plotting.plot_diagonal(), but with - the display treatment used elsewhere in padf.py (plot_g2_g3, plot_theta): - - - Color limits are taken from a quantile of the interior angular range - (15-165 deg) only, so the collinear theta = 0 / 180 deg bands (which - are typically much larger in magnitude) saturate the colorbar instead - of compressing it and hiding the interior angular structure. - - A diverging RdBu_r colormap centered at zero is used, since Theta can - be positive or negative. - - The map can optionally be weighted by r^(2 * r_display_power) to - compensate the PADF's natural radial amplitude decay (0 = raw values). - - r_marks / markers overlays support annotating known neighbor-shell - radii or expected (r, theta) maxima, matching plot_g2_g3's conventions. + Map of the PADF's r = r' diagonal, Theta(r, r, theta), plotted as angle + theta (y-axis) vs radius r (x-axis). + + The full PADF Theta(r, r', theta) lives on a 3D (r, r', theta) grid. The + r = r' diagonal is the self-correlation slice: for every radius r, how + the angular correlation Theta(r, r, theta) varies with theta. This is + the same diagonal collapsed to a single r^(2*r_display_power)-weighted + RMS number by the bottom (g2) panel of plot_g2_g3; here the theta + dependence is kept instead of being reduced away, so structure that g2 + averages out (e.g. which angles dominate at a given shell) is visible. + + Unlike plot_g2_g3's g3 map (which integrates the PADF over a chosen + radial shell on one axis, symmetrized over both r axes), this map takes + no integration and needs no symmetrization: r = r' is already a single, + well-defined line through the (r, r', theta) volume, so the diagonal is + read off directly as Theta(r, r, theta). + + As in plot_g2_g3, color limits are taken from the interior angular + range (theta in interior_theta_deg) rather than the full 0-180 range, + so the collinear theta ~ 0 / 180 bands - where the diagonal tends to be + large simply because forward/backward-scattered triplets are geometrically + degenerate - don't saturate the color scale and hide the interior-angle + structure. The display is weighted by r^(2 * r_display_power), matching + plot_g2_g3's convention (equivalent to weighting each of the two + coincident r, r' axes by r^r_display_power, as plot_theta does for its + off-diagonal map). Parameters ---------- + padf : PairAngleDistributionFunction + Reconstructed PADF object exposing `.r` (radii), `.theta_deg` + (theta axis in degrees), and `.padf` (the (Nr, Nr, Ntheta) tensor + or array of Theta(r, r', theta)). rmin, rmax : float or None - Radial display range (Angstrom). Defaults to [0, r_max_display]. + Display range of the radial axis (Angstroms). Defaults to + [0, r_max_display]. r_display_power : int Display weighting exponent; the map is multiplied by - r^(2 * r_display_power). 0 plots the raw values. + r^(2 * r_display_power). 0 plots the raw diagonal values. r_max_display : float or None Upper limit of the radial axis if rmax is not given; defaults to min(8 A, r.max()). - r_search_min : float - Radii below this are excluded when computing the color scale, - avoiding r ~ 0 reconstruction artifacts. + interior_theta_deg : (float, float) + Theta range (degrees) used both to select the color-scale quantile + and to mark the excluded collinear bands are outside of; defaults + to (15, 165), matching plot_g2_g3. r_marks : sequence of float or None - Radii (e.g. neighbor shell distances) marked with dotted vertical - lines. - markers : sequence of (r, theta_deg) or (r, theta_deg, size) or None - Expected diagonal maxima overlaid as open circles; a third element - per tuple scales the marker size (relative multiplicity). + Radii (e.g. known neighbor shell distances) marked with dotted + vertical lines. + markers : sequence of (r, theta_deg) or None + Expected diagonal maxima overlaid as open circles - e.g. the + (shell distance, arm-arm angle) targets from a known structure. A + third element per tuple, if present, scales the marker size + (relative multiplicity). title : str or None - Figure title; a default is used if None. + Figure title; a generic default is used if None. + figsize : (float, float) + Figure size in inches. returnfig : bool Return (fig, ax) instead of calling plt.show(). + + Returns + ------- + (fig, ax) if returnfig is True, otherwise None (the figure is shown). """ r = np.asarray(self.r) theta_deg = np.asarray(self.theta_deg) arr = self.padf.numpy() if hasattr(self.padf, "numpy") else np.asarray(self.padf) - diag = np.einsum("iik->ik", arr) # (Nr, Ntheta) + # r = r' diagonal: Theta(r, r, theta), shape (Nr, Ntheta) + diag = np.einsum("iik->ik", arr) if r_max_display is None: r_max_display = float(min(8.0, r[-1])) if rmax is None: rmax = r_max_display + rmin_eff = 0.0 if rmin is None else rmin + if rmax <= rmin_eff: + raise ValueError(f"rmax must be > rmin (got rmin={rmin_eff}, rmax={rmax}).") - r_mask = self._range_mask(r, rmin, rmax) - r_sel = r[r_mask] - diag_sel = diag[r_mask, :] # (Nr_sel, Ntheta) + r_mask = (r >= rmin_eff) & (r <= rmax) + if not np.any(r_mask): + raise ValueError("Requested plot range contains no data.") - weight = r_sel ** (2 * r_display_power) - diag_disp = (diag_sel * weight[:, None]).T # (Ntheta, Nr_sel) + # display weighting and orientation: theta on rows (y-axis), r on columns (x-axis) + weight = r ** (2 * r_display_power) + diag_disp = (diag * weight[:, None]).T # (Ntheta, Nr) - interior = (theta_deg > 15) & (theta_deg < 165) - keep_r = r_sel >= r_search_min - sub = diag_disp[np.ix_(interior, keep_r)] - vmax = np.quantile(np.abs(sub), 0.999) if sub.size else np.quantile(np.abs(diag_disp), 0.999) + # color limits from the interior angular range only, so the collinear + # theta ~ 0 / 180 bands don't saturate the scale + t_lo, t_hi = interior_theta_deg + interior_t = (theta_deg > t_lo) & (theta_deg < t_hi) + interior_vals = diag_disp[np.ix_(interior_t, r_mask)] + vmax = np.quantile(np.abs(interior_vals), 0.999) if interior_vals.size else \ + np.quantile(np.abs(diag_disp[:, r_mask]), 0.999) fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) im = ax.pcolormesh( - r_sel, theta_deg, diag_disp, + r[r_mask], theta_deg, diag_disp[:, r_mask], cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto", ) fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$", pad=0.02) - if r_marks is not None: - for r_mk in r_marks: - ax.axvline(r_mk, color="k", ls=":", lw=0.8) - if markers is not None: for mk in markers: r_mk, t_mk = mk[0], mk[1] size = 12.0 * (mk[2] ** 0.5) if len(mk) > 2 else 10.0 - if r_mk <= r_sel[-1]: - ax.plot(r_mk, t_mk, "o", ms=max(size, 5.0), mfc="none", mec="k", mew=1.0) + if rmin_eff <= r_mk <= rmax: + ax.plot(r_mk, t_mk, "o", ms=max(size, 5.0), mfc="none", + mec="k", mew=1.0) + + if r_marks is not None: + for r_mk in r_marks: + ax.axvline(r_mk, color="k", ls=":", lw=0.8) - ax.set_yticks(np.arange(0, 181, 45)) ax.set_xlabel("r = r' (Å)") - ax.set_ylabel(r"$\theta$ (degrees)") - ax.set_title(title if title is not None else "PADF diagonal", fontsize=10) + ax.set_ylabel(r"$\theta$ (deg)") + ax.set_yticks(np.arange(0, 181, 45)) + ax.set_title( + title if title is not None + else f"r = r' diagonal, θ ∈ [0°, 180°]", + fontsize=10, + ) if returnfig: return fig, ax plt.show() + # Theta helper + def _range_mask(self, x, xmin, xmax): + """Return a boolean mask selecting `x` within [xmin, xmax], defaulting to all True.""" + if xmin is None and xmax is None: + return np.ones_like(x, dtype=bool) + xmin_eff = x.min() if xmin is None else xmin + xmax_eff = x.max() if xmax is None else xmax + if xmax_eff <= xmin_eff: + raise ValueError(f"xmax must be > xmin (got xmin={xmin_eff}, xmax={xmax_eff}).") + mask = (x >= xmin_eff) & (x <= xmax_eff) + if not np.any(mask): + raise ValueError("Requested plot range contains no data.") + return mask + + # Theta helper + def _nearest_index(self, x, value): + return int(np.argmin(np.abs(x - value))) + def plot_theta( self, theta_deg: float, @@ -713,28 +750,5 @@ def plot_theta_simple( return fig plt.show() - def simple_plot(self): - """ - Plot the r = r' diagonal of the PADF as a 2D map with - r = r' on the x-axis and theta on the y-axis. - - Uses self.padf, which should be a (Nr, Nr, Ntheta) ndarray - (from reconstruct_PAD()) defined in __init__. - """ - # Take padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) - diag = np.einsum("iik->ik", self.padf) - - # Transpose so rows = theta, columns = r -> (Ntheta, Nr) - diag = diag.T - - fig, ax = plt.subplots(figsize=(7, 5)) - im = ax.pcolormesh(diag, shading="auto") - fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") - - ax.set_xlabel("r = r' index") - ax.set_ylabel(r"$\theta$ index") - ax.set_title("PADF diagonal") - fig.tight_layout() - return ax From cd2081bb33834d15e1259fed4cf22659b28a0e7a Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Sat, 22 Aug 2026 12:59:03 -0700 Subject: [PATCH 29/45] clear unused copies --- src/quantem/diffraction/padf_symfilter1.py | 238 --------------------- src/quantem/diffraction/padf_symfilter2.py | 231 -------------------- 2 files changed, 469 deletions(-) delete mode 100644 src/quantem/diffraction/padf_symfilter1.py delete mode 100644 src/quantem/diffraction/padf_symfilter2.py diff --git a/src/quantem/diffraction/padf_symfilter1.py b/src/quantem/diffraction/padf_symfilter1.py deleted file mode 100644 index 88d6a5d8f..000000000 --- a/src/quantem/diffraction/padf_symfilter1.py +++ /dev/null @@ -1,238 +0,0 @@ -import matplotlib.pyplot as plt -import torch -import numpy as np -from numpy.typing import NDArray -from scipy.special import eval_legendre, spherical_jn -from numpy.polynomial.legendre import legval - -from quantem.core.datastructures.dataset4dstem import Dataset4dstem -from quantem.core.datastructures.polar4dstem import Polar4dstem -from quantem.core.io.serialize import AutoSerialize -from quantem.core.io.serialize import load -from quantem.diffraction.polar_transform import ( - find_origin_angular_grid, - polar_transform, -) - -class PairAngleDistributionFunction(AutoSerialize): - """ - Compute pair-angle distribution function for a given 4D-STEM dataset. - - Run the following pipeline: - padf = PairAngleDistributionFunction(ds) - 1. find_origin_angular_grid(ds) - 2. polar_transform(ds, origin_array=self.origin) - 3. rescale_intensity(self.polar, rho=1, fq=1) - 4. compute_avg_angular_correlation(self.polar_rescaled, dtype=torch.float64) - 5. extract_Bl_matrices(self.ang_corr) - 6. transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) - 7. reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], self.ds.shape[0] * self.ds.shape[1]) - - """ - def __init__(self, - ds: Dataset4dstem = None, - origin: NDArray | None = None, - polar_ds: Polar4dstem | None = None, - ang_corr: torch.Tensor | None = None, - Bl_mats = None - ): - super().__init__() - - self.ds = ds - self.origin = origin if origin is not None else find_origin_angular_grid(ds) - self.polar = polar_ds if polar_ds is not None else polar_transform(ds, origin_array=self.origin) - - # TODO: we get rho and fq from sample identity, so either the user provides them, we find them in the dataset, or we look them up based on sample identity - self.polar_rescaled = self.rescale_intensity(self.polar, rho=1, fq=1) - - self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) - print(type(self.ang_corr)) - self.ang_corr_filtered = self.apply_centrosymmetric_filter(self.ang_corr) - self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr_filtered) - self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) - self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam - - def rescale_intensity(self, - data: Polar4dstem | Dataset4dstem | None = None, - rho: float | int | None = None, - fq: float | int | None = None): - """ - Equation 7: Take the raw intensity and divide by the following factors - - Mean number density (rho) - - Mean atomic scattering factor squared (f(q)^2) - - Number of atoms in the beam (N_a) - - phi_0 (dependent on experimental parameters) - - Most likely we will need to fit phi_0 * N_a term via another function - - Handles dtype conversion to float64 - """ - # TODO: Look at the Martin code to see how he calculated atoms in beam and phi_0 - intensity = data.tensor.to(dtype=torch.float64) - rescaled_intensity = intensity / (rho * fq**2) # / still need to include atoms in beam and phi - return rescaled_intensity - - # phi_0 is not measureable, make a function to fit. (edit: Maybe not necessary) - def fit_phi_0(self): - pass - - - def compute_avg_angular_correlation(self, data): - """ - Equation 8: angular cross correlation implemented via Fourier correlation theorem - """ - - scan_row, scan_col, phi, r = data.shape - g_all = data.reshape(scan_row * scan_col, phi, r) # Flatten grid of dps to one dimension, makes for loop simpler - N_alpha = g_all.shape[0] # Number of dps we have = number of configurations (N_alpha) - - dphi = 2.0 * torch.pi / phi # A small change in angle - - G = torch.fft.rfft(g_all, dim=1) # Fourier transform along phi axis - P = torch.einsum('afi,afj->fij', G.conj(), G) # Outer product of r between G and its conjugate, summed over all N_alpha - C_sum = torch.fft.irfft(P, n=phi, dim=0) - - C_avg = (C_sum / N_alpha) * dphi - return C_avg - - def apply_centrosymmetric_filter(self, C_avg, half_width_deg: float = 5.0) -> torch.Tensor: - """ - Remove the shot-noise self-correlation spike near Delta-phi = 0 by - replacing those angular bins with the corresponding bins near - Delta-phi = pi, exploiting the centrosymmetry of the true signal - (Theta(r, r', pi - theta) = Theta(r, r', theta)). - - C_avg : tensor of shape (Nphi, Nq, Nqp), angular axis first, with - Delta-phi sampled uniformly over [0, 2*pi). - half_width_deg : angular half-width around 0 (and, by periodicity, - around 2*pi) to replace. Should be a few times the angular bin - width; too narrow leaves noise, too wide throws away real signal. - """ - Nphi = C_avg.shape[0] - dphi_deg = 360.0 / Nphi - half_width_bins = max(1, round(half_width_deg / dphi_deg)) - - # Bin indices within +/- half_width_bins of Delta-phi = 0, wrapped. - bad_idx = torch.arange(-half_width_bins, half_width_bins + 1) % Nphi - - # The mirror bins sit exactly half a turn away (Delta-phi = pi + same offset). - shift = Nphi // 2 - mirror_idx = (bad_idx + shift) % Nphi - - filtered = C_avg.clone() - filtered[bad_idx] = C_avg[mirror_idx] - return filtered - - def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05): - # Equation 9, 10, 11 - # for each l: - # build the linear system relating C to B_l(q, q') - # solve it by SVD - # Ignore odd l-terms, Friedel symmetry? - # 5% SVD cutoff - Nphi, Nq, Nqp = C_avg.shape - dphi = torch.linspace(0, 2 * torch.pi, Nphi + 1, dtype=torch.float64)[:-1] # Ranges from [0, 2pi) - l_values = torch.arange(0, l_max, 2) # Even only - Nl = len(l_values) - B_l = torch.zeros((Nl, Nq, Nqp)) - cos_dphi = torch.cos(dphi) - - C_flat = C_avg.reshape(Nphi, Nq * Nqp) - - # Build matrix - L = l_values.reshape(1, Nl) - X = cos_dphi.reshape(Nphi, 1) - leg_matrix = eval_legendre(L, X) # Shape due to broadcasting (Nphi, Nl) - - U, S, Vh = torch.linalg.svd(leg_matrix, full_matrices=False) - S_max = S.max() - S_inv = torch.where(S > sv_cutoff * S_max, 1.0 / S, torch.zeros_like(S)) - - tmp = U.T @ C_flat - tmp = S_inv.unsqueeze(1) * tmp - B_flat = Vh.T @ tmp - - return B_flat.reshape(Nl, Nq, Nqp), l_values - - # TODO: Compare each function to the martin code to see the difference/similarity or understand the repo better - - def transform_to_real_space(self, Bl_mats, l_values, dq=0.01): - """ - IN PROGRESS - dq should be the size of an individual pixel. Default conversion for now is 0.01 angstrom^-1/pixel. - """ - # Equation 12, 13 - # apply bessel transform twice for each l - # → shape = (l, r, r') - r_min = 0.0 - r_max = 20.0 - r_step = 0.02 - - # Step one is to define q - q = torch.arange(0, Bl_mats.shape[1]) * dq - r = torch.arange(r_min, r_max, r_step) # Line 797 in polar.py implements this well. Use the same meshgrid in 798 - real_Bl = torch.zeros((Bl_mats.shape[0], r.shape[0], r.shape[0])) - - for l in range(len(l_values)): - Bl = Bl_mats[l].to(dtype=torch.float64) # The corresponding q x q' matrix - arg = 2 * torch.pi * torch.outer(r, q) # Shape len(r) x len(q) - jl = torch.from_numpy(spherical_jn(l_values[l], arg)).to(dtype=torch.float64) - - # Representing DSBT (eq 12) as a transformation matrix "sbessel" - sbessel = 4 * torch.pi * jl * (q**2) * dq - # Applying it twice (once along each axis) - real_Bl[l] = sbessel @ Bl @ sbessel.T * (-1)**l_values[l] - - return real_Bl - - def reconstruct_PADF(self, real_Bl, l_values, Na): - """ - Reconstruct the pair-angle distribution function from B_l(r, r') - For each theta: - - Sum Pl(cos theta) times B_l() over all l - - Multiply by n_alpha * 2 pi - - NOTE: Theta will go from 0 to pi - EDIT: Na should be number of atoms not number of dps - """ - padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180)) - theta = np.linspace(0, np.pi, 180) - cos_theta = np.cos(theta) - chosen_l_values = l_values[1:] - - # Sum over all l - for l in range(len(chosen_l_values)): # skipping l = 0 - coeffs = np.zeros(chosen_l_values[-1] + 1) - coeffs[chosen_l_values[l]] = 1 - Pl = torch.tensor(legval(cos_theta, coeffs)) - Bl = real_Bl[l + 1] # skipping l = 0 - padf += Bl[:, :, np.newaxis] * Pl[np.newaxis, np.newaxis, :] - - padf *= 2 * torch.pi * Na - return padf - - def simple_plot(self): - """ - Plot the r = r' diagonal of the PADF as a 2D map with - r = r' on the x-axis and theta on the y-axis. - - Uses self.padf, which should be a (Nr, Nr, Ntheta) ndarray - (from reconstruct_PAD()) defined in __init__. - """ - # Take padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) - diag = np.einsum("iik->ik", self.padf) - - # Transpose so rows = theta, columns = r -> (Ntheta, Nr) - diag = diag.T - - fig, ax = plt.subplots(figsize=(7, 5)) - im = ax.pcolormesh(diag, shading="auto") - fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") - - ax.set_xlabel("r = r' index") - ax.set_ylabel(r"$\theta$ index") - ax.set_title("PADF diagonal") - fig.tight_layout() - - return ax - diff --git a/src/quantem/diffraction/padf_symfilter2.py b/src/quantem/diffraction/padf_symfilter2.py deleted file mode 100644 index 98c75e99c..000000000 --- a/src/quantem/diffraction/padf_symfilter2.py +++ /dev/null @@ -1,231 +0,0 @@ -import matplotlib.pyplot as plt -import torch -import numpy as np -from numpy.typing import NDArray -from scipy.special import eval_legendre, spherical_jn -from numpy.polynomial.legendre import legval - -from quantem.core.datastructures.dataset4dstem import Dataset4dstem -from quantem.core.datastructures.polar4dstem import Polar4dstem -from quantem.core.io.serialize import AutoSerialize -from quantem.core.io.serialize import load -from quantem.diffraction.polar_transform import ( - find_origin_angular_grid, - polar_transform, -) - -class PairAngleDistributionFunction(AutoSerialize): - """ - Compute pair-angle distribution function for a given 4D-STEM dataset. - - Run the following pipeline: - padf = PairAngleDistributionFunction(ds) - 1. find_origin_angular_grid(ds) - 2. polar_transform(ds, origin_array=self.origin) - 3. rescale_intensity(self.polar, rho=1, fq=1) - 4. compute_avg_angular_correlation(self.polar_rescaled, dtype=torch.float64) - 5. extract_Bl_matrices(self.ang_corr) - 6. transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) - 7. reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], self.ds.shape[0] * self.ds.shape[1]) - - """ - def __init__(self, - ds: Dataset4dstem = None, - origin: NDArray | None = None, - polar_ds: Polar4dstem | None = None, - ang_corr: torch.Tensor | None = None, - Bl_mats = None - ): - super().__init__() - - self.ds = ds - self.origin = origin if origin is not None else find_origin_angular_grid(ds) - self.polar = polar_ds if polar_ds is not None else polar_transform(ds, origin_array=self.origin) - - # TODO: we get rho and fq from sample identity, so either the user provides them, we find them in the dataset, or we look them up based on sample identity - self.polar_rescaled = self.rescale_intensity(self.polar, rho=1, fq=1) - - self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) - self.ang_corr = self.centrosymmetric_filter(self.ang_corr) - self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr) - self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) - self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam - - def rescale_intensity(self, - data: Polar4dstem | Dataset4dstem | None = None, - rho: float | int | None = None, - fq: float | int | None = None): - """ - Equation 7: Take the raw intensity and divide by the following factors - - Mean number density (rho) - - Mean atomic scattering factor squared (f(q)^2) - - Number of atoms in the beam (N_a) - - phi_0 (dependent on experimental parameters) - - Most likely we will need to fit phi_0 * N_a term via another function - - Handles dtype conversion to float64 - """ - - # TODO: Look at the Martin code to see how he calculated atoms in beam and phi_0 - intensity = data.tensor.to(dtype=torch.float64) - rescaled_intensity = intensity / (rho * fq**2) # / still need to include atoms in beam and phi - return rescaled_intensity - - # phi_0 is not measureable, make a function to fit. (edit: Maybe not necessary) - def fit_phi_0(self): - pass - - - def compute_avg_angular_correlation(self, data): - """ - Equation 8: angular cross correlation implemented via Fourier correlation theorem - """ - - scan_row, scan_col, phi, r = data.shape - g_all = data.reshape(scan_row * scan_col, phi, r) # Flatten grid of dps to one dimension, makes for loop simpler - N_alpha = g_all.shape[0] # Number of dps we have = number of configurations (N_alpha) - - dphi = 2.0 * torch.pi / phi # A small change in angle - - G = torch.fft.rfft(g_all, dim=1) # Fourier transform along phi axis - P = torch.einsum('afi,afj->fij', G.conj(), G) # Outer product of r between G and its conjugate, summed over all N_alpha - C_sum = torch.fft.irfft(P, n=phi, dim=0) - - C_avg = (C_sum / N_alpha) * dphi - return C_avg - - def centrosymmetric_filter(self, C_avg: torch.Tensor, width: int = 10) -> torch.Tensor: - """ - Replace correlation values near theta=0 (and its wrap-around at theta=2pi) - with values from theta=180 deg, removing the shot-noise self-correlation - peak at theta=0, q=q' (Martin 2017 IUCrJ, Appendix B / Fig. 4). - - C_avg has shape (Nphi, Nq, Nqp) as produced by compute_avg_angular_correlation. - """ - Nphi = C_avg.shape[0] - mask = torch.ones(Nphi, dtype=C_avg.dtype, device=C_avg.device) - mask[:width] = 0.0 - mask[Nphi - width:] = 0.0 - mask = mask.view(Nphi, 1, 1) - - shifted_mask = torch.roll(mask, Nphi // 2, dims=0) - shifted_C = torch.roll(C_avg * mask, Nphi // 2, dims=0) - - numer = C_avg * mask + shifted_C - denom = mask + shifted_mask - return numer / denom - - def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05): - # Equation 9, 10, 11 - # for each l: - # build the linear system relating C to B_l(q, q') - # solve it by SVD - # Ignore odd l-terms, Friedel symmetry? - # 5% SVD cutoff - Nphi, Nq, Nqp = C_avg.shape - dphi = torch.linspace(0, 2 * torch.pi, Nphi + 1, dtype=torch.float64)[:-1] # Ranges from [0, 2pi) - l_values = torch.arange(0, l_max, 2) # Even only - Nl = len(l_values) - B_l = torch.zeros((Nl, Nq, Nqp)) - cos_dphi = torch.cos(dphi) - - C_flat = C_avg.reshape(Nphi, Nq * Nqp) - - # Build matrix - L = l_values.reshape(1, Nl) - X = cos_dphi.reshape(Nphi, 1) - leg_matrix = eval_legendre(L, X) # Shape due to broadcasting (Nphi, Nl) - - U, S, Vh = torch.linalg.svd(leg_matrix, full_matrices=False) - S_max = S.max() - S_inv = torch.where(S > sv_cutoff * S_max, 1.0 / S, torch.zeros_like(S)) - - tmp = U.T @ C_flat - tmp = S_inv.unsqueeze(1) * tmp - B_flat = Vh.T @ tmp - - return B_flat.reshape(Nl, Nq, Nqp), l_values - - # TODO: Compare each function to the martin code to see the difference/similarity or understand the repo better - - def transform_to_real_space(self, Bl_mats, l_values, dq=0.01): - """ - IN PROGRESS - dq should be the size of an individual pixel. Default conversion for now is 0.01 angstrom^-1/pixel. - """ - # Equation 12, 13 - # apply bessel transform twice for each l - # → shape = (l, r, r') - r_min = 0.0 - r_max = 20.0 - r_step = 0.02 - - # Step one is to define q - q = torch.arange(0, Bl_mats.shape[1]) * dq - r = torch.arange(r_min, r_max, r_step) # Line 797 in polar.py implements this well. Use the same meshgrid in 798 - real_Bl = torch.zeros((Bl_mats.shape[0], r.shape[0], r.shape[0])) - - for l in range(len(l_values)): - Bl = Bl_mats[l].to(dtype=torch.float64) # The corresponding q x q' matrix - arg = 2 * torch.pi * torch.outer(r, q) # Shape len(r) x len(q) - jl = torch.from_numpy(spherical_jn(l_values[l], arg)).to(dtype=torch.float64) - - # Representing DSBT (eq 12) as a transformation matrix "sbessel" - sbessel = 4 * torch.pi * jl * (q**2) * dq - # Applying it twice (once along each axis) - real_Bl[l] = sbessel @ Bl @ sbessel.T * (-1)**l_values[l] - - return real_Bl - - def reconstruct_PADF(self, real_Bl, l_values, Na): - """ - Reconstruct the pair-angle distribution function from B_l(r, r') - For each theta: - - Sum Pl(cos theta) times B_l() over all l - - Multiply by n_alpha * 2 pi - - NOTE: Theta will go from 0 to pi - EDIT: Na should be number of atoms not number of dps - """ - padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180)) - theta = np.linspace(0, np.pi, 180) - cos_theta = np.cos(theta) - chosen_l_values = l_values[1:] - - # Sum over all l - for l in range(len(chosen_l_values)): # skipping l = 0 - coeffs = np.zeros(chosen_l_values[-1] + 1) - coeffs[chosen_l_values[l]] = 1 - Pl = torch.tensor(legval(cos_theta, coeffs)) - Bl = real_Bl[l + 1] # skipping l = 0 - padf += Bl[:, :, np.newaxis] * Pl[np.newaxis, np.newaxis, :] - - padf *= 2 * torch.pi * Na - return padf - - def simple_plot(self): - """ - Plot the r = r' diagonal of the PADF as a 2D map with - r = r' on the x-axis and theta on the y-axis. - - Uses self.padf, which should be a (Nr, Nr, Ntheta) ndarray - (from reconstruct_PAD()) defined in __init__. - """ - # Take padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) - diag = np.einsum("iik->ik", self.padf) - - # Transpose so rows = theta, columns = r -> (Ntheta, Nr) - diag = diag.T - - fig, ax = plt.subplots(figsize=(7, 5)) - im = ax.pcolormesh(diag, shading="auto") - fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") - - ax.set_xlabel("r = r' index") - ax.set_ylabel(r"$\theta$ index") - ax.set_title("PADF diagonal") - fig.tight_layout() - - return ax - From 1a66b6ee14d22ddb0c4d69a381da43b1b8e60d4c Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Sat, 22 Aug 2026 23:03:23 -0700 Subject: [PATCH 30/45] bug fix in ground truth padf --- src/quantem/diffraction/PDFs_3batch.py | 15 ++++++++------- 1 file changed, 8 insertions(+), 7 deletions(-) diff --git a/src/quantem/diffraction/PDFs_3batch.py b/src/quantem/diffraction/PDFs_3batch.py index 8f82d96c4..e0c3b14c3 100644 --- a/src/quantem/diffraction/PDFs_3batch.py +++ b/src/quantem/diffraction/PDFs_3batch.py @@ -48,9 +48,15 @@ def pdf3B( bbox = xp.array(bbox_np) pbcs_np = np.copy(pbcs) pbcs = xp.array(pbcs) - positions = xp.array(atoms.positions) positions_np = np.array(atoms.positions) # for KD tree + ### wrap into the cell along periodic dims (KDTree requires 0 <= x < L) + for i, p in enumerate(pbcs_np): + if p: + positions_np[:, i] = np.mod(positions_np[:, i], bbox_np[i]) + positions_np[positions_np[:, i] >= bbox_np[i], i] = 0.0 # fp edge case + positions = xp.array(positions_np) + vprint(f"Cell size (A): {bbox_np}") # vprint(f"max dist possible between two points with full pbcs: {np.sqrt(3*(bbox_np.max()/2)**2):.2f} A") vprint(f"Using a max radius of {hist_r_max} A") @@ -68,12 +74,7 @@ def pdf3B( ### KD tree for getting neighbors, cpu cuz faster start_KD = time.perf_counter() bbox_np_pbcs = bbox_np * pbcs_np - if np.any( - np.round(positions_np.max(axis=0), 9) >= np.round(bbox_np, 9) - ): # cant have atom right on cell edge - for i in range(len(pbcs)): - if bbox_np_pbcs[i] != 0: - bbox_np_pbcs += 1e-9 + bbox_np_pbcs[pbcs_np.astype(bool)] += 1e-9 tree_all = KDTree(positions_np, copy_data=True, boxsize=bbox_np_pbcs) center_inds_skip = center_inds[::skip] tree_centers = KDTree( From 7d768cb2d57c458e290863393fdc40579737d885 Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Sat, 22 Aug 2026 23:58:18 -0700 Subject: [PATCH 31/45] new ground truth for 2d lattice --- src/quantem/diffraction/PDFs_3batch_2d.py | 397 ++++++++++++++++++++++ 1 file changed, 397 insertions(+) create mode 100644 src/quantem/diffraction/PDFs_3batch_2d.py diff --git a/src/quantem/diffraction/PDFs_3batch_2d.py b/src/quantem/diffraction/PDFs_3batch_2d.py new file mode 100644 index 000000000..a09b4e9d4 --- /dev/null +++ b/src/quantem/diffraction/PDFs_3batch_2d.py @@ -0,0 +1,397 @@ +""" +PDF3B with support for 2D (monolayer / coplanar) structures. + +Differences from PDFs_3batch.py +------------------------------- +1. Flat-axis detection: a non-periodic axis along which every atom shares the + same coordinate is "flat". Centers are no longer trimmed along such an axis + (a monolayer loses no neighbors above/below the plane), which previously + emptied `center_inds` and crashed on `max([len(i) for i in inds_all])`. + For genuinely thick non-periodic axes the trim margin is now measured from + the atomic extent rather than the cell, so a thin film in a tall vacuum cell + is handled correctly. +2. Areal density (atoms / A^2) is used when exactly one axis is flat, instead of + a volumetric density taken from an arbitrary vacuum-padded cell. +3. 2D normalization: the coplanar ideal-gas pair measure is + 4 * pi * sigma^2 * r1 * r2 * dr^2 * dtheta + i.e. linear in r and with NO sin(theta) factor. Dividing a 2D PADF by + sin(theta) manufactures spurious intensity at 0 and 180 degrees. +4. `good_vals` now compares the theta bin index against the number of theta + bins rather than against the literal value 180 (the original was only + correct for dtheta == 1). + +The 3D code path is unchanged; a fully periodic or thick non-periodic cell +behaves exactly as before. +""" + +import numpy as np +import time + +from scipy.spatial import KDTree +from datetime import timedelta + +try: + import cupy as cp +except (ImportError, ModuleNotFoundError): + cp = np + + +class PDF3B(object): + + def __init__(self, device="cpu", v=1): + if isinstance(device, int): + self._xp = cp + cp.cuda.runtime.setDevice(device) + elif device.lower() == "cpu": + self._xp = np + self.device = device + self._v = v + return + + def pdf3B( + self, + atoms, + dr=0.1, + dtheta=1, + hist_r_max=20, + skip=1, + batch_size=1, + v=None, + pbcs=None, + subpixel_weights=True, + flat_tol=1e-6, + ): + xp = self._xp + stime = time.perf_counter() + v = self._v if v is None else v + vprint = print if v >= 1 else lambda *a, **k: None + if skip == None: + skip = 1 + if pbcs is None: + pbcs = atoms.get_pbc() + self.pbcs = pbcs + + bbox_np = np.array(atoms.cell[(0, 1, 2), (0, 1, 2)]) + bbox = xp.array(bbox_np) + pbcs_np = np.copy(pbcs) + pbcs = xp.array(pbcs) + positions_np = np.array(atoms.positions) # for KD tree + + ### wrap into the cell along periodic dims (KDTree requires 0 <= x < L) + for i, p in enumerate(pbcs_np): + if p: + positions_np[:, i] = np.mod(positions_np[:, i], bbox_np[i]) + positions_np[positions_np[:, i] >= bbox_np[i], i] = 0.0 # fp edge case + positions = xp.array(positions_np) + + vprint(f"Cell size (A): {bbox_np}") + vprint(f"Using a max radius of {hist_r_max} A") + + ### FIX 1a: identify flat axes -- non-periodic with zero atomic extent. + ### A monolayer has no neighbors to lose along such an axis, so every + ### atom already has a complete neighborhood and must not be trimmed. + flat_axes = [ + i + for i in range(3) + if not pbcs_np[i] and np.ptp(positions_np[:, i]) < flat_tol + ] + self.flat_axes = flat_axes + if len(flat_axes) == 1: + vprint( + f"Detected flat (2D) axis {flat_axes[0]}: using areal density " + "and 2D normalization" + ) + elif len(flat_axes) > 1: + vprint( + f"WARNING: {len(flat_axes)} flat axes {flat_axes} -> structure is " + "1D or a single point. Falling back to volumetric normalization, " + "which is not correct for this geometry." + ) + + ### warn if the minimum-image convention is violated in a periodic dim. + ### _get_vecs_pbcs and query_ball_tree both require L > 2 * hist_r_max + for i, p in enumerate(pbcs_np): + if p and bbox_np[i] <= 2 * hist_r_max: + vprint( + f"WARNING: periodic axis {i} has L = {bbox_np[i]:.2f} A " + f"<= 2 * hist_r_max = {2 * hist_r_max} A. Minimum-image " + "distances and neighbor counts will be wrong -- tile the " + "cell first, e.g. atoms * (n, m, 1)." + ) + + ### FIX 1b: get center positions that aren't within r_max of a boundary + ### without pbcs. Margins are measured from the atomic extent, not the + ### cell, and flat axes are skipped entirely. + goods = np.ones(len(positions_np)).astype("bool") + for i, p in enumerate(pbcs_np): + if p or i in flat_axes: + continue + lo = positions_np[:, i].min() + hi = positions_np[:, i].max() + goods *= (positions_np[:, i] > lo + hist_r_max) & ( + positions_np[:, i] < hi - hist_r_max + ) + center_inds = np.where(goods)[0] + if len(center_inds) == 0: + raise ValueError( + "No valid center atoms: every atom lies within hist_r_max of a " + "non-periodic boundary. The atomic extent along each finite, " + f"non-flat axis must exceed 2 * hist_r_max = {2 * hist_r_max} A. " + "Reduce hist_r_max, use a thicker sample, or enable pbcs." + ) + + ### KD tree for getting neighbors, cpu cuz faster + start_KD = time.perf_counter() + bbox_np_pbcs = bbox_np * pbcs_np + bbox_np_pbcs[pbcs_np.astype(bool)] += 1e-9 + tree_all = KDTree(positions_np, copy_data=True, boxsize=bbox_np_pbcs) + center_inds_skip = center_inds[::skip] + tree_centers = KDTree( + positions_np[center_inds_skip], copy_data=True, boxsize=bbox_np_pbcs + ) + inds_all = tree_centers.query_ball_tree(tree_all, hist_r_max) + inds_all = [xp.array(i) for i in inds_all] + end_KD = time.perf_counter() + vprint(f"KDTree calc time: {end_KD - start_KD:.1e} s") + + ### Histogram coordinates + hist_theta = xp.arange(0.0, 180 + dtheta, dtheta) + hist_r = xp.arange(0.0, hist_r_max + dr, dr) + num_bins_r = hist_r.shape[0] + num_bins_theta = hist_theta.shape[0] + hist_sig = xp.zeros((num_bins_theta, num_bins_r, num_bins_r)) + + ### FIX 2: Density -- areal for a 2D structure, volumetric otherwise + cell = xp.array(atoms.cell) + if len(flat_axes) == 1: + i, j = [k for k in range(3) if k != flat_axes[0]] + area = xp.linalg.norm(xp.cross(cell[i], cell[j])) + assert area > 0, "in-plane cell area is zero" + dens = positions.shape[0] / area # atoms / A^2 + vprint(f"Areal density = {float(dens):.4g} atoms / A^2") + else: + volume = xp.abs(xp.sum(cell[:, 0] * xp.cross(cell[:, 1], cell[:, 2]))) + assert volume > 0, "cell volume is zero" + dens = positions.shape[0] / volume # atoms / A^3 + + ### making big arrays that will be filled + maxinds = max([len(i) for i in inds_all]) + inds2 = xp.zeros((batch_size, maxinds)).astype("int") + + if hist_r_max > 15: + split_bincount = True + off_inds = xp.triu_indices(maxinds, k=1) + else: + split_bincount = False + off_inds = xp.where(~xp.eye(maxinds, dtype=bool)) + + ### exact upper bound: one entry per (center, pair) in the batch + maxval_n = int(off_inds[0].shape[0]) + vals = xp.zeros((3, maxval_n * batch_size)).astype("int") + if subpixel_weights: + weights_full = xp.empty(maxval_n * batch_size) + weights = weights_full + else: + weights_full = None + weights = None + + vprint(f"Num total atoms in sim = {len(positions)}") + if not np.all(pbcs_np) and len(flat_axes) < 3: + vprint(f"Num valid center atoms = {len(center_inds)}") + if skip != 1: + vprint( + f"Skip = {skip}, so calculating using {len(center_inds_skip)} atoms as centers" + ) + vprint("Final shape will be: ", hist_sig.shape) + + for a0 in range(0, len(center_inds_skip), batch_size): + b0 = min(a0 + batch_size, len(center_inds_skip)) + batch_center_inds = center_inds_skip[a0:b0] + bsize = len(batch_center_inds) + bnum_inds = [len(inds) for inds in inds_all[a0:b0]] + for i in range(bsize): + inds2[i, : bnum_inds[i]] = inds_all[a0 + i] + + vecs = self._get_vecs_pbcs( + positions[batch_center_inds], + positions[inds2[:bsize]], + bbox=bbox, + pbcs=pbcs, + ) + for i in range(bsize): + vecs[i, bnum_inds[i] :] = 0 + + drs = xp.sqrt(xp.sum(vecs**2, axis=-1)) + + thetas_full = self._get_thetas_all(vecs, vecs, deg=True) + thetas = thetas_full[:, off_inds[0], off_inds[1]] + thetas = thetas[:bsize].ravel() + + dr1s = drs[:, off_inds[0]] + dr2s = drs[:, off_inds[1]] + dr1s = dr1s[:bsize].ravel() + dr2s = dr2s[:bsize].ravel() + + r_ind1 = dr1s / dr + r_ind2 = dr2s / dr + theta_ind = thetas / dtheta + + if subpixel_weights: + ### this isn't perfect, doesn't do corners + r_floor1 = xp.floor(r_ind1).astype("int") + dr_ind1 = r_ind1 - r_floor1 + + r_floor2 = xp.floor(r_ind2).astype("int") + dr_ind2 = r_ind2 - r_floor2 + + theta_floor = xp.floor(theta_ind).astype("int") + dtheta_ind = theta_ind - theta_floor + + else: + r_floor1 = xp.round(r_ind1).astype("int") + r_floor2 = xp.round(r_ind2).astype("int") + theta_floor = xp.round(theta_ind).astype("int") + + ### FIX 4: theta_floor is a BIN INDEX, so bound it by the number of + ### theta bins. The original compared it against the literal 180, + ### which was only correct for dtheta == 1. + good_vals = ( + (r_floor1 > 1e-9) + & (r_floor2 > 1e-9) + & (theta_floor > 0) + & (theta_floor < num_bins_theta - 1) + ) + good_inds = xp.where(good_vals)[0] + nvals = len(good_inds) + vals[0, :nvals] = theta_floor[good_inds] + vals[1, :nvals] = r_floor2[good_inds] + vals[2, :nvals] = r_floor1[good_inds] + if subpixel_weights: + weights_full[:nvals] = ( + dtheta_ind[good_inds] + dr_ind2[good_inds] + dr_ind1[good_inds] + ) / 3 + weights = weights_full[:nvals] + + ### Because taking triu, have to do this twice + ### and doing bincount twice with half indices seems to be ~10% faster than + ### once with twice as many (for a 20A cutoff), but slower if < 15 A + hist_sig += self._bincountdd( + vals[:, :nvals], + (num_bins_theta, num_bins_r, num_bins_r), + weights=weights, + ) + if split_bincount: + vals[[1, 2]] = vals[[2, 1]] + hist_sig += self._bincountdd( + vals[:, :nvals], + (num_bins_theta, num_bins_r, num_bins_r), + weights=weights, + ) + + hist_sig /= len(center_inds_skip) + + ### FIX 3: normalization + gr = hist_sig.copy() + r1 = hist_r[1:][None, None, ...] + r2 = hist_r[1:][None, ..., None] + th = hist_theta[1:-1, None, None] + if len(flat_axes) == 1: + ### 2D ideal-gas pair measure: + ### sigma^2 * (2 pi r1 dr) * (2 r2 dr dtheta) + ### -> linear in r, and no sin(theta): the out-of-plane solid-angle + ### band that produces sin(theta) in 3D does not exist for coplanar + ### vectors. The factor 2 folds +/- azimuth into [0, 180]. + gr[1:-1, 1:, 1:] /= ( + dens**2 + * dr**2 + * 4 # 2 * 2pi, for all off-diagonal (ordered) pairs; use 2 for triu only + * xp.pi + * r1 + * r2 + * np.deg2rad(dtheta) + ) + else: + gr[1:-1, 1:, 1:] /= ( + dens**2 + * dr**2 + * 8 # if all off diag indices + # * 4 # if triu + * xp.pi**2 + * r1**2 + * r2**2 + * xp.sin(xp.deg2rad(th)) + * np.deg2rad(dtheta) + ) + + ### edge bins are half-width, and bin 0 is excluded by good_vals + gr[-1] = 0 + gr[0] = 0 + gr[:, 0] = 0 + gr[:, :, 0] = 0 + + vprint("-- done --") + ttime = time.perf_counter() - stime + vprint( + f"Total time (h:m:s) {str(timedelta(seconds=round(ttime,3))).rstrip('0')}" + ) + vprint(f"Center atoms per sec: {len(center_inds_skip) / ttime:.1f}\n") + return gr + + def _get_vecs_pbcs(self, points, pointslists, bbox, pbcs=[1, 1, 1]): + xp = self._xp + if np.any(pbcs): + assert xp.all(xp.min(pointslists, axis=1) >= 0) + assert xp.all(xp.max(pointslists, axis=1) <= bbox) + dif = pointslists - points[:, None] + for i, ind in enumerate(pbcs): + if ind: + dif[:, :, i] = ( + xp.mod(dif[:, :, i] + bbox[i] * 0.5, bbox[i]) - bbox[i] * 0.5 + ) + return dif + + def _bincountdd(self, vals, nbins, weights=None): + # based on xp.histogramdd + """ + vals: array shape (N, D) + weights: array shape N + nbins: (D,) tuple (nbinsz, nbinsy, nbinsx) + based on xp.histogramdd + """ + xp = self._xp + vals = xp.floor(vals).astype("int") + xy = xp.ravel_multi_index(vals, nbins, mode="wrap") + minlength = int(np.prod(nbins)) + if weights is not None: + hist = xp.bincount(xy, weights=1 - weights, minlength=minlength).reshape( + nbins + ) + xy = xp.ravel_multi_index(vals + 1, nbins, mode="wrap") + hist += xp.bincount(xy, weights=weights, minlength=minlength).reshape(nbins) + else: + hist = xp.bincount(xy, minlength=minlength).reshape(nbins) + return hist + + def _get_thetas_all(self, v1, v2, deg=True): + """ + get angles between all vectors, outer product style + """ + xp = self._xp + v11 = self._norm_vecs(v1) + v21 = self._norm_vecs(v2) + mmul = xp.transpose(xp.matmul(v11, xp.transpose(v21, (0, 2, 1))), (0, 2, 1)) + theta = xp.arccos(xp.clip(mmul, -1.0, 1.0)) + if deg: + theta = xp.rad2deg(theta) + return theta + + def _norm_vecs(self, v): + xp = self._xp + if xp.ndim(v) == 1: + return v / xp.sqrt(xp.sum(v**2, axis=-1))[..., None] + mags = xp.sqrt(xp.sum(v**2, axis=-1)) + bads = xp.where(mags == 0) + mags[bads] = 1 + normed = v / mags[..., None] + normed[bads] = 0 + return normed From 5f27b5fd8c8a6fa6319a091172cb2d4943ae506d Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Mon, 24 Aug 2026 00:46:21 -0700 Subject: [PATCH 32/45] new ground truth plotting feature g2_g3 --- src/quantem/diffraction/PDF_show.py | 198 +++++++++++++++++++++++++++- 1 file changed, 195 insertions(+), 3 deletions(-) diff --git a/src/quantem/diffraction/PDF_show.py b/src/quantem/diffraction/PDF_show.py index fe0dbd88e..9a76f08d3 100644 --- a/src/quantem/diffraction/PDF_show.py +++ b/src/quantem/diffraction/PDF_show.py @@ -2,6 +2,7 @@ import numpy as np import matplotlib as mpl from mpl_toolkits.axes_grid1.axes_divider import make_axes_locatable +from scipy.ndimage import gaussian_filter def plot_RDF3b( @@ -203,8 +204,11 @@ def plot_diagonal_grtruth( cmap: str = "magma", title: str | None = None, figsize: tuple[float, float] = (7, 5), + fontsize: int = 10, + labelsize: int = 10, ax=None, cbar: bool = True, + sigma: int | None = None, returnfig: bool = False, ): """ @@ -259,6 +263,10 @@ def plot_diagonal_grtruth( Return (fig, ax) instead of calling plt.show(). """ gr = np.asarray(gr) + + if sigma is not None: + gr = gaussian_filter(gr, sigma=sigma, mode="wrap") + ntheta, nr = gr.shape[0], gr.shape[1] r = np.arange(nr) * dr @@ -301,10 +309,12 @@ def plot_diagonal_grtruth( if r_mk <= r_sel[-1]: ax.plot(r_mk, t_mk, "o", ms=max(size, 5.0), mfc="none", mec="w", mew=1.0) - ax.set_yticks(np.arange(0, 181, 30)) - ax.set_xlabel("r = r' (Å)") - ax.set_ylabel(r"$\theta$ (degrees)") + ax.set_yticks(np.arange(0, 181, 30)[1:]) + ax.tick_params(axis='both', labelsize=labelsize) + ax.set_xlabel("r = r' (Å)", fontsize=fontsize) + ax.set_ylabel(r"$\theta$ (degrees)", fontsize=fontsize) ax.set_title(title if title is not None else "Ground-truth PADF diagonal", fontsize=10) + if cbar: fig.colorbar(im, ax=ax, label="g(r, r, θ)", pad=0.02) @@ -312,3 +322,185 @@ def plot_diagonal_grtruth( if returnfig: return fig, ax plt.show() + +def plot_g2_g3_grtruth( + gr, + dtheta, + dr, + r_min: float | None = None, + r_max: float | None = None, + r_display_power: int = 1, + r_max_display: float | None = None, + r_search_min: float = 0.5, + vmax_quantile: float = 0.999, + r_marks=None, + markers=None, + title: str | None = None, + figsize: tuple[float, float] = (4.8, 4.4), + returnfig: bool = False, +): + """ + Stacked 2-body / 3-body correlation summary of a ground-truth 3-body + PADF (as returned by PDF3B.pdf3B()), analogous to padf.py's + plot_g2_g3() but built from gr(theta, r2, r1) + bin widths (dtheta, dr) + instead of a PairAngleDistributionFunction instance. + + Top panel: 3-body correlation map - gr(r, r', theta) integrated over r + in [r_min, r_max] (symmetrized over both radial axes), plotted as angle + theta vs r'. + + Bottom panel: 2-body correlation profile - the sin(theta)-weighted mean + of the r = r' diagonal over the interior angular range (15-165 deg), + sum_theta gr(r, r, theta) sin(theta) / sum_theta sin(theta). + Unlike plot_g2_g3's Theta (a correlation function whose true l = 0 + component is removed by the mean subtraction, forcing a sin-weighted + RMS proxy since a plain integral cancels by Legendre orthogonality), + gr is a genuine non-negative pair density, so its plain sin-weighted + mean is itself the angularly-integrated 2-body correlation - no RMS + trick is needed. It peaks at the radial shells where the PADF has + angular structure and is used to choose the near-neighbor shell; the + integration shell [r_min, r_max] is shaded. + + Both panels are weighted by r^(2 * r_display_power) for display. Since + gr is non-negative, the map uses a sequential colormap with vmin=0 + (rather than plot_g2_g3's diverging RdBu_r), and its color limits are a + quantile taken over the interior angular range (15-165 deg) and r > + r_search_min - following plot_diagonal_grtruth's fix for the small-r + normalization artifact (gr's r1^2 * r2^2 division blows up bins just + above the exactly-zeroed r=0 bin). + + Parameters + ---------- + gr : ndarray, shape (Ntheta, Nr, Nr) + Ground-truth 3-body PADF, as returned by PDF3B.pdf3B(). + dtheta, dr : float + Bin widths (degrees, Angstrom) used to build gr. + r_min, r_max : float or None + Integration shell bounds in Angstrom. If None, the first peak of + g2 is selected automatically: from the last point below 5% of the + peak height up to the first local minimum past the peak (same + shell heuristic as plot_g2_g3). + r_display_power : int + Display weighting exponent; each panel is multiplied by + r^(2 * r_display_power). 0 plots the raw values. + r_max_display : float or None + Upper limit of the radial axes; defaults to min(8 A, r.max()). + r_search_min : float + Radii below this are ignored both when auto-locating the g2 peak + and when computing the map's color scale (excludes the small-r + normalization artifact). + vmax_quantile : float + Quantile (over the artifact-free region) used as the map's color + scale maximum. + r_marks : sequence of float or None + Radii (e.g. the 1st/2nd/3rd neighbor shell distances) marked with + dotted vertical lines on both panels. + markers : sequence of (r, theta_deg) or (r, theta_deg, size) or None + Expected 3-body maxima overlaid on the map as open circles - e.g. + the (shell distance, arm-arm angle) targets from a known + structure. A third element per tuple, if present, scales the + marker size (relative multiplicity). + title : str or None + Figure title; a shell summary is used if None. + returnfig : bool + Return (fig, (ax_g3, ax_g2)) instead of calling plt.show(). + """ + gr = np.asarray(gr) + ntheta, nr = gr.shape[0], gr.shape[1] + + r = np.arange(nr) * dr + theta_deg = np.arange(ntheta) * dtheta + theta = np.deg2rad(theta_deg) + + # pair profile: sin(theta)-weighted mean of the diagonal over the + # interior angles (gr's l = 0 term is real, unlike the mean-subtracted + # correlation function plot_g2_g3 was written for) + diag = np.array([np.diag(gr[i]) for i in range(ntheta)]) # (Ntheta, Nr) + interior_t = (theta_deg > 15) & (theta_deg < 165) + w_t = np.abs(np.sin(theta[interior_t])) + g2 = (diag[interior_t, :] * w_t[:, None]).sum(axis=0) / w_t.sum() + + # auto-select the first g2 peak if no shell was given + if r_min is None or r_max is None: + kernel = np.array([1.0, 2.0, 3.0, 2.0, 1.0]) + kernel /= kernel.sum() + smooth = np.convolve(np.where(r < r_search_min, 0.0, g2), kernel, mode="same") + i_pk = None + for idx in range(1, smooth.size - 1): + if smooth[idx] > 0 and smooth[idx] >= smooth[idx - 1] and smooth[idx] > smooth[idx + 1]: + i_pk = idx + break + if i_pk is None: + i_pk = int(np.argmax(smooth)) + below = np.flatnonzero(smooth[:i_pk] < 0.05 * smooth[i_pk]) + i_lo = int(below[-1]) if below.size else int(np.searchsorted(r, r_search_min)) + i_hi = min(smooth.size - 1, 2 * i_pk - i_lo) + for idx in range(i_pk + 1, smooth.size - 1): + if smooth[idx] <= smooth[idx - 1] and smooth[idx] <= smooth[idx + 1]: + i_hi = idx + break + if r_min is None: + r_min = float(r[i_lo]) + if r_max is None: + r_max = float(r[i_hi]) + + shell = (r >= r_min) & (r <= r_max) + if not np.any(shell): + shell[int(np.argmin(np.abs(r - 0.5 * (r_min + r_max))))] = True + + # g3 map: integrate over the shell, symmetrized over both r axes + g3_map = 0.5 * (gr[:, :, shell].sum(axis=2) + gr[:, shell, :].sum(axis=1)) # (Ntheta, Nr') + + # display weighting and color limits + if r_max_display is None: + r_max_display = float(min(8.0, r[-1])) + weight = r ** (2 * r_display_power) + g2_disp = g2 * weight + g3_disp = g3_map * weight[None, :] # (Ntheta, Nr') + rs = r <= r_max_display + interior = (theta_deg > 15) & (theta_deg < 165) + artifact_free = rs & (r > r_search_min) + vmax_cols = artifact_free if np.any(artifact_free) else rs + vmax = np.quantile(g3_disp[np.ix_(interior, vmax_cols)], vmax_quantile) + + fig, (ax_g3, ax_g2) = plt.subplots( + 2, 1, sharex=True, figsize=figsize, + gridspec_kw={"height_ratios": [2, 1]}, + constrained_layout=True, + ) + im = ax_g3.pcolormesh( + r[rs], theta_deg, g3_disp[:, rs], + cmap="magma", vmin=0, vmax=vmax, shading="auto", + ) + ax_g3.set_ylabel("$\\theta$ (deg)") + ax_g3.set_yticks(np.arange(0, 181, 45)) + fig.colorbar(im, ax=[ax_g3, ax_g2], label="3-body correlation", pad=0.02) + + if markers is not None: + for mk in markers: + r_mk, t_mk = mk[0], mk[1] + size = 12.0 * (mk[2] ** 0.5) if len(mk) > 2 else 10.0 + if r_mk <= r_max_display: + ax_g3.plot(r_mk, t_mk, "o", ms=max(size, 5.0), mfc="none", + mec="w", mew=1.0) + + ax_g2.plot(r[rs], g2_disp[rs], "k-", lw=1) + ax_g2.axvspan(r_min, r_max, color="C1", alpha=0.25) + ax_g2.axhline(0, color="0.85", lw=0.8, zorder=0) + + if r_marks is not None: + for r_mk in r_marks: + ax_g3.axvline(r_mk, color="w", ls=":", lw=0.8) + ax_g2.axvline(r_mk, color="k", ls=":", lw=0.8) + ax_g2.set_ylabel("2-body corr.") + ax_g2.set_xlabel("r, r' (Å)") + + ax_g3.set_title( + title if title is not None + else f"shell r = {r_min:.2f} - {r_max:.2f}", + fontsize=10, + ) + + if returnfig: + return fig, (ax_g3, ax_g2) + plt.show() From 0629e001b3bbf81b3830d518c29f3970c3383ad4 Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Mon, 24 Aug 2026 00:56:46 -0700 Subject: [PATCH 33/45] custom plot sizing --- src/quantem/diffraction/padf.py | 10 +++++++--- 1 file changed, 7 insertions(+), 3 deletions(-) diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 935e6a23e..f37807cdd 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -587,6 +587,8 @@ def plot_theta( markers=None, title: str | None = None, figsize: tuple[float, float] = (6, 5), + labels: bool = True, + cbar: bool = True, returnfig: bool = False, ): """ @@ -680,7 +682,8 @@ def plot_theta( r_sel, r_sel, slice_disp.T, cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto", ) - fig.colorbar(im, ax=ax, label=r"$\Theta(r, r', \theta)$", pad=0.02) + if cbar: + fig.colorbar(im, ax=ax, label=r"$\Theta(r, r', \theta)$", pad=0.02) # r = r' reference line ax.plot([r_sel[0], r_sel[-1]], [r_sel[0], r_sel[-1]], @@ -700,8 +703,9 @@ def plot_theta( mfc="none", mec="k", mew=1.0) ax.set_aspect("equal") - ax.set_xlabel("r (Å)") - ax.set_ylabel("r' (Å)") + if labels: + ax.set_xlabel("r (Å)") + ax.set_ylabel("r' (Å)") ax.set_title( title if title is not None else rf"$\Theta(r, r', \theta={theta_axis[theta_idx]:.1f}\degree)$", From 8929d4aff318b5242edcd406cf58b1b67f5ea50b Mon Sep 17 00:00:00 2001 From: Emanuel Tsegaye Date: Wed, 23 Sep 2026 15:31:18 -0700 Subject: [PATCH 34/45] file reorganization --- src/quantem/diffraction/PDF_show.py | 506 ----------- src/quantem/diffraction/calibration.py | 797 ++++++++++++++++++ src/quantem/diffraction/ellipticity.py | 400 +++++++++ .../{PDFs_3batch.py => gr_truth.py} | 4 + .../{PDFs_3batch_2d.py => gr_truth_2d.py} | 2 + src/quantem/diffraction/plotting.py | 145 ---- .../repeated_fe_4dstem1020.npy | Bin 4700352 -> 0 bytes 7 files changed, 1203 insertions(+), 651 deletions(-) delete mode 100644 src/quantem/diffraction/PDF_show.py create mode 100644 src/quantem/diffraction/calibration.py create mode 100644 src/quantem/diffraction/ellipticity.py rename src/quantem/diffraction/{PDFs_3batch.py => gr_truth.py} (99%) rename src/quantem/diffraction/{PDFs_3batch_2d.py => gr_truth_2d.py} (99%) delete mode 100644 src/quantem/diffraction/plotting.py delete mode 100644 src/quantem/diffraction/repeated_fe_4dstem/repeated_fe_4dstem1020.npy diff --git a/src/quantem/diffraction/PDF_show.py b/src/quantem/diffraction/PDF_show.py deleted file mode 100644 index 9a76f08d3..000000000 --- a/src/quantem/diffraction/PDF_show.py +++ /dev/null @@ -1,506 +0,0 @@ -import matplotlib.pyplot as plt -import numpy as np -import matplotlib as mpl -from mpl_toolkits.axes_grid1.axes_divider import make_axes_locatable -from scipy.ndimage import gaussian_filter - - -def plot_RDF3b( - gr, - dtheta, - dr, - theta_slices=None, - r_slices=None, - log=False, - title=None, - cbar=False, - aspect=None, - intensity_range = "ordered", - vmin=None, - vmax=None, - **kwargs, -): - def rFormatter(x, pos): - return f"{x*dr:.3g}" - - def thetaFormatter(x, pos): - return f"{x*dtheta:.3g}" - - # alias - r_slices = kwargs.pop("r_slice", None) if r_slices is None else r_slices - theta_slices = ( - kwargs.pop("theta_slice", None) if theta_slices is None else theta_slices - ) - - cmap = kwargs.pop("cmap", "magma") - origin = kwargs.pop("origin", "lower") - if aspect is None: - aspect = "auto" - aspect_num = 1 - else: - aspect_num = aspect - - plot_thetas = False if theta_slices is None else True - plot_rs = False if r_slices is None else True - if plot_thetas == plot_rs: - print(f"Theta slices: {theta_slices} -- {plot_thetas}") - print(f"r slices: {r_slices} -- {plot_rs}") - print("Currently plots theta slices or r slices, not both (or neither)") - return - - val_slices = theta_slices if plot_thetas else r_slices - dind = dtheta if plot_thetas else dr - - if isinstance(val_slices, str): - if val_slices.lower() not in ["peak", "max"]: - print(f"Wrong val slices given {val_slices}") - print("Expected 'peak' or 'max'") - return - if plot_rs: - val_slices = np.unravel_index(np.argmax(gr), gr.shape)[1] * dr - elif plot_thetas: - val_slices = np.unravel_index(np.argmax(gr), gr.shape)[0] * dr - - if isinstance(val_slices, (int, float)): - int_slice = int(round(val_slices / dind)) - ind_slices = np.array([(int_slice, int_slice + 1)]) - val_slices = [val_slices] - elif isinstance(val_slices, (tuple, list, np.ndarray)): - if np.ndim(val_slices) == 1: - int_slices = np.round(np.array(val_slices) / dind).astype("int") - ind_slices = np.array([[sl, sl + 1] for sl in int_slices]) - elif np.ndim(val_slices) == 2: - ind_slices = np.array( - [np.round(np.array(sl) / dind) for sl in val_slices] - ).astype("int") - - ncols = len(ind_slices) - figsize = kwargs.pop("figsize", (ncols * 4 * aspect_num, 3)) - fig, axs = plt.subplots(ncols=ncols, nrows=1, figsize=figsize) - if ncols == 1: - axs = [axs] - for i, (ax, slice) in enumerate(zip(axs, ind_slices)): - if np.ndim(val_slices[i]) == 0: - slice_title = str(round(val_slices[i], 3)) - elif np.ndim(val_slices[i]) == 1: - islice = np.round(val_slices[i], 3) - slice_title = f"{islice[0]} : {islice[1]}" - if plot_thetas: - gslice = gr[slice[0] : slice[1]].mean(axis=0) - yformatter = rFormatter - ax.set_title(f"$\\theta = {slice_title}^\\circ$") - if i == 0: - ax.set_ylabel(f"r2 (A)") - elif plot_rs: - gslice = gr[:, slice[0] : slice[1]].mean(axis=1) - yformatter = thetaFormatter - ax.set_title(f"r2 = {slice_title} A") - if i == 0: - ax.set_ylabel(f"$\\theta$ (deg)") - if log: - _mask = gslice > 0.0 - gslice[_mask] = np.log(gslice[_mask]) - gslice[~_mask] = 0 - - if intensity_range == "ordered": - vmin = 0.001 if vmin is None else vmin - vmax = 0.999 if vmax is None else vmax - vals = np.sort(gslice.ravel()) - ind_vmin = np.round((vals.shape[0] - 1) * vmin).astype("int") - ind_vmax = np.round((vals.shape[0] - 1) * vmax).astype("int") - ind_vmin = np.max([0, ind_vmin]) - ind_vmax = np.min([len(vals) - 1, ind_vmax]) - vmin_ax = vals[ind_vmin] - vmax_ax = vals[ind_vmax] - else: - vmin_ax, vmax_ax = vmin, vmax - - im = ax.matshow(gslice, cmap=cmap, origin=origin, aspect=aspect, vmin=vmin_ax, vmax=vmax_ax, **kwargs) - ax.set_xlabel(f"r1 (A)") - ax.yaxis.set_major_formatter(mpl.ticker.FuncFormatter(yformatter)) - ax.xaxis.set_major_formatter(mpl.ticker.FuncFormatter(rFormatter)) - ax.xaxis.tick_bottom() - ax.tick_params(direction="out") - - if cbar: - cax = fig.colorbar(im, ax=ax, fraction=0.046, pad=0.04, label=str(kwargs.get("cbar_title", ""))) - - fig.subplots_adjust(wspace=0.35 if cbar else 0.15) - - if title is not None: - fig.suptitle(title, y=1.02) - - return - -def plot_r1r2_RDF3b(gr, dtheta, dr, log=False, title="", cbar=False, aspect=None, intensity_range="ordered", ax=None, **kwargs): - "theta_slice and r_slice given in deg and angstroms respectively" - - def rFormatter(x, pos): - return f"{x*dr:.3g}" - - def thetaFormatter(x, pos): - return f"{x*dtheta:.3g}" - - cmap = kwargs.pop("cmap", "magma") - origin = kwargs.pop("origin", "lower") - - gr_r1r2 = np.array([np.diag(gr[i]) for i in range(gr.shape[0])]) - if log: - _mask = gr_r1r2 > 0.0 - gr_r1r2[_mask] = np.log(gr_r1r2[_mask]) - gr_r1r2[~_mask] = 0 - - if aspect is None: - aspect = gr_r1r2.shape[0] / gr_r1r2.shape[1] - - if ax == None: - fig, ax = plt.subplots(figsize=kwargs.pop("figsize", (5, 5*aspect))) - else: - fig = ax.get_figure() - - if intensity_range == "ordered": - vmin = kwargs.pop("vmin", 0.001) - vmax = kwargs.pop("vmax", 0.999) - vals = np.sort(gr_r1r2.ravel()) - ind_vmin = np.round((vals.shape[0] - 1) * vmin).astype("int") - ind_vmax = np.round((vals.shape[0] - 1) * vmax).astype("int") - ind_vmin = np.max([0, ind_vmin]) - ind_vmax = np.min([len(vals) - 1, ind_vmax]) - vmin_ax = vals[ind_vmin] - vmax_ax = vals[ind_vmax] - else: - vmin_ax = kwargs.pop("vmin", None) - vmax_ax = kwargs.pop("vmax", None) - - im = ax.matshow(gr_r1r2, cmap=cmap, origin=origin, vmin=vmin_ax, vmax=vmax_ax, **kwargs) - ax.set_ylabel(f"$\\theta$ (deg)") - ax.set_xlabel(f"r1 = r2 (A)") - ax.set_title(title) - ax.yaxis.set_major_formatter(mpl.ticker.FuncFormatter(thetaFormatter)) - ax.xaxis.set_major_formatter(mpl.ticker.FuncFormatter(rFormatter)) - ax.set_yticks(np.arange(0, 190, 30) / dtheta) - - ax.xaxis.tick_bottom() - ax.tick_params(direction="out") - - if cbar: - ax_divider = make_axes_locatable(ax) - c_axis = ax_divider.append_axes("right", size="4%", pad="2%") - fig.colorbar(im, cax=c_axis, format="%g", label=str(kwargs.pop("cbar_title", ""))) - - # plt.show() - return ax - -def plot_diagonal_grtruth( - gr, - dtheta, - dr, - r_search_min: float = 0.5, - r_max_display: float | None = None, - r_display_power: int = 0, - vmax_quantile: float = 0.999, - r_marks=None, - markers=None, - cmap: str = "magma", - title: str | None = None, - figsize: tuple[float, float] = (7, 5), - fontsize: int = 10, - labelsize: int = 10, - ax=None, - cbar: bool = True, - sigma: int | None = None, - returnfig: bool = False, -): - """ - Plot the r = r' diagonal of a ground-truth 3-body PADF, gr(r, r, theta), - as a 2D map with r on the x-axis (Angstrom) and theta on the y-axis - (degrees). - - This is the same quantity plotted by PDF_show.plot_r1r2_RDF3b(), but with - a fix for its main visibility problem: gr's normalization divides by - r1^2 * r2^2, so bins at very small r (just above the exactly-zeroed r=0 - bin) can take on enormous values that are a normalization artifact, not - real structure. plot_r1r2_RDF3b computes its percentile color scale over - the whole diagonal image, so that artifact dominates the scale and washes - out the genuine, physically meaningful peaks at larger r. - - Following the approach used by padf.py's plot_g2_g3() for an analogous - problem, the color scale here is instead computed as a quantile taken - only over r > r_search_min, excluding the small-r artifact region. Since - gr is non-negative everywhere (histogram counts divided by positive - normalization factors), a sequential colormap with vmin=0 is used. - - Parameters - ---------- - gr : ndarray, shape (Ntheta, Nr, Nr) - Ground-truth 3-body PADF, as returned by PDF3B.pdf3B(). - dtheta, dr : float - Bin widths (degrees, Angstrom) used to build gr. - r_search_min : float - Radii below this are excluded when computing the color scale, - avoiding the small-r normalization artifact. - r_max_display : float or None - Upper limit of the radial axis; defaults to min(8 A, r.max()). - r_display_power : int - Display weighting exponent; the map is multiplied by - r^(2 * r_display_power). 0 plots the raw values. - vmax_quantile : float - Quantile (over the r > r_search_min region) used as the color-scale - maximum. - r_marks : sequence of float or None - Radii (e.g. neighbor shell distances) marked with dotted vertical - lines. - markers : sequence of (r, theta_deg) or (r, theta_deg, size) or None - Expected diagonal maxima overlaid as open circles; a third element - per tuple scales the marker size (relative multiplicity). - title : str or None - Figure title; a default is used if None. - ax : matplotlib Axes or None - Axes to draw into; a new figure/axes is created if None. - cbar : bool - Whether to draw a colorbar. - returnfig : bool - Return (fig, ax) instead of calling plt.show(). - """ - gr = np.asarray(gr) - - if sigma is not None: - gr = gaussian_filter(gr, sigma=sigma, mode="wrap") - - ntheta, nr = gr.shape[0], gr.shape[1] - - r = np.arange(nr) * dr - theta_deg = np.arange(ntheta) * dtheta - - diag = np.array([np.diag(gr[i]) for i in range(ntheta)]) # (Ntheta, Nr) - - if r_max_display is None: - r_max_display = float(min(8.0, r[-1])) - - r_mask = r <= r_max_display - r_sel = r[r_mask] - diag_sel = diag[:, r_mask] - - weight = r_sel ** (2 * r_display_power) - diag_disp = diag_sel * weight[None, :] - - artifact_free = r_sel > r_search_min - vals = diag_disp[:, artifact_free] if np.any(artifact_free) else diag_disp - vmax = np.quantile(vals, vmax_quantile) if vals.size else diag_disp.max() - - if ax is None: - fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) - else: - fig = ax.get_figure() - - im = ax.pcolormesh( - r_sel, theta_deg, diag_disp, - cmap=cmap, vmin=0, vmax=vmax, shading="auto", - ) - - if r_marks is not None: - for r_mk in r_marks: - ax.axvline(r_mk, color="w", ls=":", lw=0.8) - - if markers is not None: - for mk in markers: - r_mk, t_mk = mk[0], mk[1] - size = 12.0 * (mk[2] ** 0.5) if len(mk) > 2 else 10.0 - if r_mk <= r_sel[-1]: - ax.plot(r_mk, t_mk, "o", ms=max(size, 5.0), mfc="none", mec="w", mew=1.0) - - ax.set_yticks(np.arange(0, 181, 30)[1:]) - ax.tick_params(axis='both', labelsize=labelsize) - ax.set_xlabel("r = r' (Å)", fontsize=fontsize) - ax.set_ylabel(r"$\theta$ (degrees)", fontsize=fontsize) - ax.set_title(title if title is not None else "Ground-truth PADF diagonal", fontsize=10) - - - if cbar: - fig.colorbar(im, ax=ax, label="g(r, r, θ)", pad=0.02) - - if returnfig: - return fig, ax - plt.show() - -def plot_g2_g3_grtruth( - gr, - dtheta, - dr, - r_min: float | None = None, - r_max: float | None = None, - r_display_power: int = 1, - r_max_display: float | None = None, - r_search_min: float = 0.5, - vmax_quantile: float = 0.999, - r_marks=None, - markers=None, - title: str | None = None, - figsize: tuple[float, float] = (4.8, 4.4), - returnfig: bool = False, -): - """ - Stacked 2-body / 3-body correlation summary of a ground-truth 3-body - PADF (as returned by PDF3B.pdf3B()), analogous to padf.py's - plot_g2_g3() but built from gr(theta, r2, r1) + bin widths (dtheta, dr) - instead of a PairAngleDistributionFunction instance. - - Top panel: 3-body correlation map - gr(r, r', theta) integrated over r - in [r_min, r_max] (symmetrized over both radial axes), plotted as angle - theta vs r'. - - Bottom panel: 2-body correlation profile - the sin(theta)-weighted mean - of the r = r' diagonal over the interior angular range (15-165 deg), - sum_theta gr(r, r, theta) sin(theta) / sum_theta sin(theta). - Unlike plot_g2_g3's Theta (a correlation function whose true l = 0 - component is removed by the mean subtraction, forcing a sin-weighted - RMS proxy since a plain integral cancels by Legendre orthogonality), - gr is a genuine non-negative pair density, so its plain sin-weighted - mean is itself the angularly-integrated 2-body correlation - no RMS - trick is needed. It peaks at the radial shells where the PADF has - angular structure and is used to choose the near-neighbor shell; the - integration shell [r_min, r_max] is shaded. - - Both panels are weighted by r^(2 * r_display_power) for display. Since - gr is non-negative, the map uses a sequential colormap with vmin=0 - (rather than plot_g2_g3's diverging RdBu_r), and its color limits are a - quantile taken over the interior angular range (15-165 deg) and r > - r_search_min - following plot_diagonal_grtruth's fix for the small-r - normalization artifact (gr's r1^2 * r2^2 division blows up bins just - above the exactly-zeroed r=0 bin). - - Parameters - ---------- - gr : ndarray, shape (Ntheta, Nr, Nr) - Ground-truth 3-body PADF, as returned by PDF3B.pdf3B(). - dtheta, dr : float - Bin widths (degrees, Angstrom) used to build gr. - r_min, r_max : float or None - Integration shell bounds in Angstrom. If None, the first peak of - g2 is selected automatically: from the last point below 5% of the - peak height up to the first local minimum past the peak (same - shell heuristic as plot_g2_g3). - r_display_power : int - Display weighting exponent; each panel is multiplied by - r^(2 * r_display_power). 0 plots the raw values. - r_max_display : float or None - Upper limit of the radial axes; defaults to min(8 A, r.max()). - r_search_min : float - Radii below this are ignored both when auto-locating the g2 peak - and when computing the map's color scale (excludes the small-r - normalization artifact). - vmax_quantile : float - Quantile (over the artifact-free region) used as the map's color - scale maximum. - r_marks : sequence of float or None - Radii (e.g. the 1st/2nd/3rd neighbor shell distances) marked with - dotted vertical lines on both panels. - markers : sequence of (r, theta_deg) or (r, theta_deg, size) or None - Expected 3-body maxima overlaid on the map as open circles - e.g. - the (shell distance, arm-arm angle) targets from a known - structure. A third element per tuple, if present, scales the - marker size (relative multiplicity). - title : str or None - Figure title; a shell summary is used if None. - returnfig : bool - Return (fig, (ax_g3, ax_g2)) instead of calling plt.show(). - """ - gr = np.asarray(gr) - ntheta, nr = gr.shape[0], gr.shape[1] - - r = np.arange(nr) * dr - theta_deg = np.arange(ntheta) * dtheta - theta = np.deg2rad(theta_deg) - - # pair profile: sin(theta)-weighted mean of the diagonal over the - # interior angles (gr's l = 0 term is real, unlike the mean-subtracted - # correlation function plot_g2_g3 was written for) - diag = np.array([np.diag(gr[i]) for i in range(ntheta)]) # (Ntheta, Nr) - interior_t = (theta_deg > 15) & (theta_deg < 165) - w_t = np.abs(np.sin(theta[interior_t])) - g2 = (diag[interior_t, :] * w_t[:, None]).sum(axis=0) / w_t.sum() - - # auto-select the first g2 peak if no shell was given - if r_min is None or r_max is None: - kernel = np.array([1.0, 2.0, 3.0, 2.0, 1.0]) - kernel /= kernel.sum() - smooth = np.convolve(np.where(r < r_search_min, 0.0, g2), kernel, mode="same") - i_pk = None - for idx in range(1, smooth.size - 1): - if smooth[idx] > 0 and smooth[idx] >= smooth[idx - 1] and smooth[idx] > smooth[idx + 1]: - i_pk = idx - break - if i_pk is None: - i_pk = int(np.argmax(smooth)) - below = np.flatnonzero(smooth[:i_pk] < 0.05 * smooth[i_pk]) - i_lo = int(below[-1]) if below.size else int(np.searchsorted(r, r_search_min)) - i_hi = min(smooth.size - 1, 2 * i_pk - i_lo) - for idx in range(i_pk + 1, smooth.size - 1): - if smooth[idx] <= smooth[idx - 1] and smooth[idx] <= smooth[idx + 1]: - i_hi = idx - break - if r_min is None: - r_min = float(r[i_lo]) - if r_max is None: - r_max = float(r[i_hi]) - - shell = (r >= r_min) & (r <= r_max) - if not np.any(shell): - shell[int(np.argmin(np.abs(r - 0.5 * (r_min + r_max))))] = True - - # g3 map: integrate over the shell, symmetrized over both r axes - g3_map = 0.5 * (gr[:, :, shell].sum(axis=2) + gr[:, shell, :].sum(axis=1)) # (Ntheta, Nr') - - # display weighting and color limits - if r_max_display is None: - r_max_display = float(min(8.0, r[-1])) - weight = r ** (2 * r_display_power) - g2_disp = g2 * weight - g3_disp = g3_map * weight[None, :] # (Ntheta, Nr') - rs = r <= r_max_display - interior = (theta_deg > 15) & (theta_deg < 165) - artifact_free = rs & (r > r_search_min) - vmax_cols = artifact_free if np.any(artifact_free) else rs - vmax = np.quantile(g3_disp[np.ix_(interior, vmax_cols)], vmax_quantile) - - fig, (ax_g3, ax_g2) = plt.subplots( - 2, 1, sharex=True, figsize=figsize, - gridspec_kw={"height_ratios": [2, 1]}, - constrained_layout=True, - ) - im = ax_g3.pcolormesh( - r[rs], theta_deg, g3_disp[:, rs], - cmap="magma", vmin=0, vmax=vmax, shading="auto", - ) - ax_g3.set_ylabel("$\\theta$ (deg)") - ax_g3.set_yticks(np.arange(0, 181, 45)) - fig.colorbar(im, ax=[ax_g3, ax_g2], label="3-body correlation", pad=0.02) - - if markers is not None: - for mk in markers: - r_mk, t_mk = mk[0], mk[1] - size = 12.0 * (mk[2] ** 0.5) if len(mk) > 2 else 10.0 - if r_mk <= r_max_display: - ax_g3.plot(r_mk, t_mk, "o", ms=max(size, 5.0), mfc="none", - mec="w", mew=1.0) - - ax_g2.plot(r[rs], g2_disp[rs], "k-", lw=1) - ax_g2.axvspan(r_min, r_max, color="C1", alpha=0.25) - ax_g2.axhline(0, color="0.85", lw=0.8, zorder=0) - - if r_marks is not None: - for r_mk in r_marks: - ax_g3.axvline(r_mk, color="w", ls=":", lw=0.8) - ax_g2.axvline(r_mk, color="k", ls=":", lw=0.8) - ax_g2.set_ylabel("2-body corr.") - ax_g2.set_xlabel("r, r' (Å)") - - ax_g3.set_title( - title if title is not None - else f"shell r = {r_min:.2f} - {r_max:.2f}", - fontsize=10, - ) - - if returnfig: - return fig, (ax_g3, ax_g2) - plt.show() diff --git a/src/quantem/diffraction/calibration.py b/src/quantem/diffraction/calibration.py new file mode 100644 index 000000000..21eab3698 --- /dev/null +++ b/src/quantem/diffraction/calibration.py @@ -0,0 +1,797 @@ +from __future__ import annotations + +from typing import Any + +import matplotlib.pyplot as plt +import numpy as np +import torch +from numpy.typing import NDArray + +from quantem.core.datastructures.dataset2d import Dataset2d +from quantem.core.datastructures.dataset4dstem import Dataset4dstem +from quantem.core.datastructures.polar4dstem import Polar4dstem +from quantem.diffraction.polar import PairDistributionFunction +from quantem.diffraction.polar_transform import find_origin_angular_grid, polar_transform + + +def _arpls_baseline( + y: torch.Tensor, lam: float = 0.1, ratio: float = 1e-2, niter: int = 100 +) -> torch.Tensor: + """Asymmetrically reweighted penalized least squares baseline. + + Smoothness-regularised lower-envelope estimator that handles both + polycrystalline (many sharp peaks on a flat baseline) and amorphous + (one broad diffuse halo) profile topologies. Iteratively reweights + points that sit above the current estimate so peaks get pushed away + instead of absorbed. + + Reference: Baek, Park, Ahn & Choo, Analyst 140 (2015) 250-257. + + Parameters + ---------- + y : torch.Tensor + 1D signal to fit a baseline under. + lam : float + Smoothness penalty. Larger -> stiffer baseline. + ratio : float + Convergence tolerance on the relative change in weights. + niter : int + Maximum iterations. + + Returns + ------- + z : torch.Tensor + Smooth baseline, same length, device, and dtype-promoted-to-float64 + as ``y``. + """ + y = y.to(dtype=torch.float64) + L = y.numel() + device = y.device + # 2nd-difference operator D is L x (L-2); column j has [1, -2, 1] at + # rows j, j+1, j+2. H = lam * D @ D.T is the smoothness penalty (band-5). + col = torch.arange(L - 2, device=device) + D = torch.zeros(L, L - 2, device=device, dtype=torch.float64) + D[col, col] = 1.0 + D[col + 1, col] = -2.0 + D[col + 2, col] = 1.0 + H = lam * (D @ D.T) + diag_rows = torch.arange(L, device=device) + + w = torch.ones(L, device=device, dtype=torch.float64) + z = y.clone() + for _ in range(niter): + A = H.clone() + A[diag_rows, diag_rows] += w # A = diag(w) + H, symmetric PD + z = torch.linalg.solve(A, w * y) + d = y - z + dn = d[d < 0] + if dn.numel() == 0: + break + m = dn.mean() + s = dn.std(correction=0) # ddof=0 to match numpy default + # Asymmetric reweighting; clip the logistic exponent so peaks don't overflow + expo = torch.clamp(2.0 * (d - (2.0 * s - m)) / (s + 1e-12), -50.0, 50.0) + wt = 1.0 / (1.0 + torch.exp(expo)) + if torch.linalg.norm(w - wt) / (torch.linalg.norm(w) + 1e-12) < ratio: + break + w = wt + return z + + +def _find_peaks_torch( + y: torch.Tensor, + distance: int | None = None, + prominence: float | None = None, + height: float | None = None, +) -> torch.Tensor: + """Torch-native 1D peak detection. + + Strict interior local maxima (``y[i] > y[i-1] AND y[i] > y[i+1]``), + optionally filtered by absolute ``height``, minimum sample + ``distance`` between peaks (greedy: smaller peaks dropped first to + enforce the separation), and topographic ``prominence`` (vertical + distance from the peak to the higher of the two surrounding valley + minima, where each valley min is the running min from the peak to + the nearest higher peak or array edge). + + Matches the semantics of ``scipy.signal.find_peaks`` for the + filter set used by :meth:`ReciprocalCalibration.find_peaks`. + Plateau peaks (equal-valued runs surrounded by lower values) are + NOT detected — strict ``>`` only. + + Parameters + ---------- + y : 1D torch.Tensor + Signal to search. + distance : int or None + Minimum samples between peaks. + prominence : float or None + Minimum topographic prominence. + height : float or None + Minimum absolute peak value. + + Returns + ------- + peaks : 1D torch.Tensor (long), peak indices sorted ascending. + """ + n = y.numel() + if n < 3: + return torch.empty(0, dtype=torch.long, device=y.device) + + # Pull to Python floats. The data is small (typical radial profile + # length is ~100), so a tight Python loop over a few candidates is + # cheaper than any vectorized prominence scheme. The scipy version + # we're replacing is also CPU-bound for the same reason. + vals = y.detach().cpu().tolist() + + # Strict interior local maxima + candidates = [ + i for i in range(1, n - 1) if vals[i] > vals[i - 1] and vals[i] > vals[i + 1] + ] + + # Absolute height + if height is not None: + candidates = [i for i in candidates if vals[i] >= height] + + # Minimum separation — greedy by descending height, drop smaller + # candidates within `distance` of any already-kept candidate + if distance is not None and candidates: + by_height = sorted(candidates, key=lambda i: vals[i], reverse=True) + kept: list[int] = [] + for c in by_height: + if all(abs(c - k) >= distance for k in kept): + kept.append(c) + candidates = sorted(kept) + + # Prominence — walk left/right from each candidate tracking running min + # until a strictly higher value (or edge) is hit + if prominence is not None and candidates: + kept_prom: list[int] = [] + for c in candidates: + h = vals[c] + left_min = h + j = c - 1 + while j >= 0: + v = vals[j] + if v > h: + break + if v < left_min: + left_min = v + j -= 1 + right_min = h + j = c + 1 + while j < n: + v = vals[j] + if v > h: + break + if v < right_min: + right_min = v + j += 1 + if h - max(left_min, right_min) >= prominence: + kept_prom.append(c) + candidates = kept_prom + + return torch.tensor(candidates, dtype=torch.long, device=y.device) + +# --------------------------------------------------------------------------- +# Reference material data +# {material: (lattice_param_Å, {hkl_label: h²+k²+l²})} +# Au -- FCC, allowed when (h,k,l) all same parity. +# Si -- diamond cubic, allowed when (h,k,l) all odd, OR all even with +# h+k+l = 4n. The 200, 222, 420 FCC reflections are forbidden. +# --------------------------------------------------------------------------- +MATERIALS: dict[str, tuple[float, dict[str, int]]] = { + "Au": ( + 4.0782, + { + "111": 3, "200": 4, "220": 8, "311": 11, + "222": 12, "400": 16, "331": 19, "420": 20, + }, + ), + "Si": ( + 5.4307, + { + "111": 3, "220": 8, "311": 11, "400": 16, + "331": 19, "422": 24, "511": 27, "440": 32, + "531": 35, "620": 40, + }, + ), +} + + +def _q_values_for(material: str) -> dict[str, float]: + """Return q = sqrt(h²+k²+l²) / a for each allowed reflection of `material`.""" + if material not in MATERIALS: + raise ValueError( + f"Unknown material '{material}'. Available: {sorted(MATERIALS)}" + ) + a, reflections = MATERIALS[material] + return {hkl: np.sqrt(n) / a for hkl, n in reflections.items()} + + +class ReciprocalCalibration: + """Calibrate reciprocal-space pixel size from polycrystalline diffraction rings. + + This class determines the pixel-to-inverse-Angstrom conversion factor by + matching detected ring positions in a radial profile to known d-spacings + of a reference material (currently Au FCC). + + Construction is enforced through :meth:`from_data`. + """ + + _token = object() + + def __init__( + self, + pdf: PairDistributionFunction, + radial_profile: NDArray, + radial_pixel_positions: NDArray, + mean_dp: NDArray, + input_data: Any | None = None, + _token: object | None = None, + ): + if _token is not self._token: + raise RuntimeError( + "Direct instantiation of ReciprocalCalibration is not allowed. " + "Use ReciprocalCalibration.from_data() to instantiate this class." + ) + + self._pdf = pdf # used for fit_bg + self.radial_profile = radial_profile # 1-D, length = n_radial_bins + self.radial_pixel_positions = radial_pixel_positions # 1-D pixel indices + self.mean_dp = mean_dp # 2-D mean diffraction pattern + self.input_data = input_data + + # Set after fit_bg() / find_peaks() + self.background: NDArray | None = None + self.peak_indices: NDArray | None = None + self.peak_pixel_positions: NDArray | None = None + + # Set after calibrate() + self.pixel_size: float | None = None # 1/Å per pixel + self.material: str | None = None + self.matched_hkl: list[str] | None = None + self.matched_q: NDArray | None = None + self.matched_pixel_positions: NDArray | None = None + + @classmethod + def from_data( + cls, + data: Dataset4dstem | Dataset2d | Polar4dstem, + *, + mask_realspace: NDArray | None = None, + voltage_kV: float = 200, + find_origin: bool = True, + origin_row: float | None = None, + origin_col: float | None = None, + radial_min: float = 0.0, + radial_max: float | None = None, + radial_step: float = 1.0, + num_annular_bins: int = 180, + ellipse_params: tuple[float, float, float] | None = None, + ) -> "ReciprocalCalibration": + """Create a ReciprocalCalibration from diffraction data. + + Parameters + ---------- + data + A Dataset4dstem, Dataset2d, or Polar4dstem. + mask_realspace + Boolean array (scan_y, scan_x) selecting which probe positions + to include when averaging diffraction patterns. Only used with + Dataset4dstem input. + voltage_kV + Accelerating voltage in kV (stored for metadata / future use). + find_origin, origin_row, origin_col + Origin-finding parameters forwarded to the polar transform. + radial_min, radial_max, radial_step, num_annular_bins + Polar-transform parameters. + ellipse_params + Elliptical-distortion correction ``(a, b, theta_deg)`` applied + during origin finding and the polar transform. Must match the + value passed to the PDF's polar transform so the calibration is + measured on the same (ellipse-corrected) geometry. + """ + # Polar4dstem input: use directly + if isinstance(data, Polar4dstem): + polar = data + mean_dp = None + else: + # Dataset2d: wrap as 1×1 4DSTEM + if isinstance(data, Dataset2d): + arr2d = data.array + arr4 = arr2d[None, None, ...] + data = Dataset4dstem.from_array( + array=arr4, + name=f"{data.name}_as4dstem" + if getattr(data, "name", None) + else "cal_4dstem_from_2d", + origin=np.concatenate( + [np.zeros(2, dtype=float), np.asarray(data.origin, dtype=float)] + ), + sampling=np.concatenate( + [np.ones(2, dtype=float), np.asarray(data.sampling, dtype=float)] + ), + units=["pixels", "pixels"] + list(data.units), + signal_units=data.signal_units, + ) + mask_realspace = None # irrelevant for 1×1 scan + # Dataset4dstem: compute mean DP then polar transform + if not isinstance(data, Dataset4dstem): + raise TypeError( + f"Unsupported data type {type(data).__name__}. " + "Expected Dataset4dstem, Dataset2d, or Polar4dstem." + ) + arr4d_t = ( + torch.from_numpy(np.ascontiguousarray(data.array)) + if data.array is not None + else data.tensor + ) + if mask_realspace is not None: + n_pos = int(mask_realspace.sum()) + print(f"Averaging {n_pos} masked diffraction patterns ...") + mask_t = torch.from_numpy(np.asarray(mask_realspace, dtype=bool)).to( + arr4d_t.device + ) + mean_dp = arr4d_t[mask_t].mean(dim=0, dtype=torch.float64).cpu().numpy() + else: + n_pos = data.shape[0] * data.shape[1] + print(f"Averaging all {n_pos} diffraction patterns ...") + mean_dp = arr4d_t.mean(dim=(0, 1), dtype=torch.float64).cpu().numpy() + mean_ds = Dataset4dstem.from_array( + array=mean_dp[None, None, ...], + name="calibration_mean_dp", + origin=np.array([0.0, 0.0, data.origin[2], data.origin[3]]), + sampling=np.array([1.0, 1.0, data.sampling[2], data.sampling[3]]), + units=["pixels", "pixels"] + list(data.units[2:]), + signal_units=data.signal_units, + ) + + if find_origin: + origin_array = find_origin_angular_grid( + mean_ds, + ellipse_params=ellipse_params, + num_annular_bins=num_annular_bins, + radial_min=radial_min, + radial_max=radial_max, + radial_step=radial_step, + ) + else: + ny, nx = mean_dp.shape + if origin_row is None: + origin_row = (ny - 1) / 2.0 + if origin_col is None: + origin_col = (nx - 1) / 2.0 + origin_array = np.zeros((1, 1, 2), dtype=float) + origin_array[0, 0, 0] = origin_row + origin_array[0, 0, 1] = origin_col + + polar = polar_transform( + mean_ds, + origin_array=origin_array, + ellipse_params=ellipse_params, + num_annular_bins=num_annular_bins, + radial_min=radial_min, + radial_max=radial_max, + radial_step=radial_step, + ) + + # --- Build a PairDistributionFunction for background fitting -------- + # PairDistributionFunction.from_data does not accept a Polar4dstem + # directly, so construct via the class-level token. + pdf_input = data if isinstance(data, Dataset4dstem) else None + pdf = PairDistributionFunction( + polar=polar, + input_data=pdf_input, + _token=PairDistributionFunction._token, + ) + pdf.calculate_radial_mean() + + # --- Compute radial profile (azimuthal average) --------------------- + radial_profile = pdf.Ik.detach().cpu().numpy() + n_r = radial_profile.shape[0] + radial_pixel_positions = np.arange(n_r, dtype=float) + + if mean_dp is None: + mean_dp = np.zeros((1, 1), dtype=float) + + return cls( + pdf=pdf, + radial_profile=radial_profile, + radial_pixel_positions=radial_pixel_positions, + mean_dp=mean_dp, + input_data=data, + _token=cls._token, + ) + + def fit_bg( + self, + radial_min: int = 0, + lam: float = 0.001, + ) -> NDArray: + """Estimate the smooth background under the diffraction rings. + + Runs arPLS (asymmetrically reweighted penalized least squares; + see :func:`_arpls_baseline`) in log-space on + ``radial_profile[radial_min:]``. Below ``radial_min`` the + background is set equal to the profile, so the residual is ~0 + there and the central-beam region can't dominate peak finding. + Tunable via one smoothness parameter. + + Parameters + ---------- + radial_min : int + Below this pixel index, ``bg = radial_profile`` (no fit). + lam : float + arPLS smoothness penalty. Larger -> stiffer baseline. + + Returns + ------- + bg : NDArray + Background curve, same length as :attr:`radial_profile`. + """ + profile = np.asarray(self.radial_profile, dtype=float) + bg = profile.copy() + # arPLS in log space so the steep central-beam decay is tractable + log_seg = np.log(np.clip(profile[radial_min:], 0.0, None) + 1.0) + log_seg_t = torch.from_numpy(np.ascontiguousarray(log_seg)) + bg_seg = (torch.exp(_arpls_baseline(log_seg_t, lam=lam)) - 1.0).cpu().numpy() + bg[radial_min:] = bg_seg + bg = np.clip(bg, 0.0, None) + self.background = bg + return self.background + + def find_peaks( + self, + radial_min: int = 0, + n_peaks: int | None = None, + distance: int | None = None, + prominence: float | None = None, + height: float | None = None, + ) -> NDArray: + """Detect peaks in the background-subtracted radial profile. + + Runs :func:`_find_peaks_torch` on ``radial_profile - background``, + then refines each detected peak to sub-pixel precision via a + parabolic vertex fit to its three nearest samples. The integer + bins remain in :attr:`peak_indices` (for residual-value lookups); + the refined positions go in :attr:`peak_pixel_positions` and feed + :meth:`calibrate`'s least-squares fit. + + If :attr:`background` has not been fit yet, calls :meth:`fit_bg` + with defaults first. + + Parameters + ---------- + radial_min + Ignore the profile below this pixel index (skip the central beam). + n_peaks + If provided, keep only the first ``n_peaks`` detected peaks + (the innermost rings). Useful when the detector finds more + candidates than you want to use for the calibration fit. + distance, prominence, height + Passed through to :func:`_find_peaks_torch` (scipy-equivalent + semantics). + + Returns + ------- + peak_positions : NDArray + Sub-pixel-refined peak positions (same units as + :attr:`radial_pixel_positions`). + """ + if self.background is None: + self.fit_bg(radial_min=radial_min) + residual = self.radial_profile - self.background + + # zero out central beam region + residual[:radial_min] = 0.0 + self._residual = residual + + residual_t = torch.from_numpy(np.ascontiguousarray(residual)) + indices_t = _find_peaks_torch( + residual_t, + distance=distance, + prominence=prominence, + height=height, + ) + indices = indices_t.cpu().numpy() + indices = indices[indices >= radial_min] + if n_peaks is not None: + indices = indices[:n_peaks] + + # Sub-pixel parabolic refinement: vertex offset of the parabola + # through residual[idx-1], residual[idx], residual[idx+1]. Clipped + # to [-1, 1] bin steps to guard against flat / inverted curvature. + positions = self.radial_pixel_positions + step = float(positions[1] - positions[0]) if len(positions) > 1 else 1.0 + refined = np.empty_like(indices, dtype=float) + for k, idx in enumerate(indices): + base = float(positions[idx]) + if 0 < idx < len(residual) - 1: + y0 = float(residual[idx - 1]) + y1 = float(residual[idx]) + y2 = float(residual[idx + 1]) + denom = y0 - 2.0 * y1 + y2 + if denom != 0.0: + delta = 0.5 * (y0 - y2) / denom + delta = max(-1.0, min(1.0, delta)) + else: + delta = 0.0 + refined[k] = base + delta * step + else: + refined[k] = base + + self.peak_indices = indices + self.peak_pixel_positions = refined + return refined + + # ------------------------------------------------------------------ + # Calibration + # ------------------------------------------------------------------ + def calibrate( + self, + material: str = "Au", + peak_indices: NDArray | list[int] | None = None, + ) -> float: + """Match detected peaks to known ring positions and fit pixel size. + + Performs a zero-intercept least-squares fit: ``q = pixel_size * r_pixels`` + to determine the reciprocal-space pixel size in 1/Å per pixel. + + Parameters + ---------- + material + Reference material; must be a key in :data:`MATERIALS` + (currently ``'Au'`` or ``'Si'``). + peak_indices + Indices of peaks (into :attr:`radial_profile`) to use for the + fit. If ``None``, uses all peaks found by :meth:`find_peaks`. + + Returns + ------- + pixel_size : float + Calibrated pixel size in 1/Å per pixel. + """ + if peak_indices is not None: + peak_pix = self.radial_pixel_positions[np.asarray(peak_indices)] + elif self.peak_pixel_positions is not None: + peak_pix = self.peak_pixel_positions + else: + raise RuntimeError( + "No peaks available. Call find_peaks() first or provide peak_indices." + ) + + q_ref = _q_values_for(material) + self.material = material + hkl_labels = list(q_ref.keys()) + q_vals = np.array(list(q_ref.values())) + sorted_order = np.argsort(q_vals) + q_sorted = q_vals[sorted_order] + hkl_sorted = [hkl_labels[i] for i in sorted_order] + peak_pix = np.sort(peak_pix.astype(float)) + n_peaks = len(peak_pix) + n_ref = len(q_sorted) + + # Try all ordered subsets of n_peaks reflections from the n_ref + # available and find the assignment with the lowest relative fit + # residual. Since both peaks and q-values are sorted, we only + # need to consider combinations (order-preserving). + from itertools import combinations + + best_rss = np.inf + best_combo = None + for combo in combinations(range(n_ref), n_peaks): + q_sel = q_sorted[list(combo)] + # Zero-intercept LS: pixel_size = (r · q) / (r · r) + ps = float(np.dot(peak_pix, q_sel) / np.dot(peak_pix, peak_pix)) + if ps <= 0: + continue + # Relative residual sum of squares + predicted_q = ps * peak_pix + rss = float(np.sum(((predicted_q - q_sel) / q_sel) ** 2)) + if rss < best_rss: + best_rss = rss + best_combo = combo + if best_combo is None: + raise RuntimeError("Could not find a valid peak-to-reflection matching.") + + matched_q = q_sorted[list(best_combo)] + matched_hkl = [hkl_sorted[i] for i in best_combo] + pixel_size = float(np.dot(peak_pix, matched_q) / np.dot(peak_pix, peak_pix)) + self.pixel_size = pixel_size + self.matched_hkl = matched_hkl + self.matched_q = matched_q + self.matched_pixel_positions = peak_pix + # Print matching for user verification + print(f"Calibrated pixel size: {pixel_size:.6f} 1/Å/px") + print("Peak matching:") + for r_px, hkl, q in zip(peak_pix, matched_hkl, matched_q): + q_pred = pixel_size * r_px + print(f" r={r_px:.1f} px → {hkl} (q={q:.4f}, predicted={q_pred:.4f})") + return pixel_size + + def apply(self, dataset: Dataset4dstem) -> None: + """Update a Dataset4dstem's diffraction-axis sampling and units.""" + if self.pixel_size is None: + raise RuntimeError("No calibration available. Call calibrate() first.") + new_sampling = list(dataset.sampling) + new_sampling[2] = self.pixel_size + new_sampling[3] = self.pixel_size + dataset.sampling = new_sampling + new_units = list(dataset.units) + new_units[2] = "1/Angstrom" + new_units[3] = "1/Angstrom" + dataset.units = new_units + + # ------------------------------------------------------------------ + # Plotting helpers + # ------------------------------------------------------------------ + def plot_radial_profile(self) -> plt.Figure: + """Plot the radial profile, background fit, and residual with peaks. + + Peak markers sit at the sub-pixel-refined positions stored in + :attr:`peak_pixel_positions` (their y-values are linearly + interpolated onto the underlying curve). If :meth:`calibrate` has + been run, each marker is annotated with the matched ``{hkl}``. + """ + has_bg = self.background is not None + n_axes = 2 if has_bg else 1 + + fig, axes = plt.subplots(1, n_axes, figsize=(5 * n_axes, 4)) + if n_axes == 1: + axes = [axes] + + marker_kw = dict(s=40, color="red", alpha=0.5, edgecolors="none", + zorder=5, label="Peaks") + ann_kw = dict(textcoords="offset points", xytext=(5, 6), + fontsize=7, color="red", alpha=0.9) + + def _annotate_peaks(ax, y_curve): + if self.peak_pixel_positions is None: + return + peak_y = np.interp(self.peak_pixel_positions, + self.radial_pixel_positions, y_curve) + ax.scatter(self.peak_pixel_positions, peak_y, **marker_kw) + if self.matched_hkl is not None: + for r_sub, hkl, y in zip(self.peak_pixel_positions, + self.matched_hkl, peak_y): + ax.annotate(f"{{{hkl}}}", (r_sub, y), **ann_kw) + + # --- Left panel: raw profile + background --- + ax = axes[0] + ax.plot(self.radial_pixel_positions, self.radial_profile, label="I(r)") + if has_bg: + ax.plot(self.radial_pixel_positions, self.background, "--", label="Background") + _annotate_peaks(ax, self.radial_profile) + ax.set_yscale("log") + ax.set_xlabel("Radial position (pixels)") + ax.set_ylabel("Mean intensity") + ax.set_title("Radial profile + background") + ax.legend() + + # --- Right panel: residual with peaks --- + if has_bg: + ax2 = axes[1] + residual = getattr(self, "_residual", self.radial_profile - self.background) + ax2.plot(self.radial_pixel_positions, residual, label="I(r) - B(r)") + _annotate_peaks(ax2, residual) + ax2.axhline(0, color="gray", linewidth=0.5) + ax2.set_xlabel("Radial position (pixels)") + ax2.set_ylabel("Residual intensity") + ax2.set_title("Background-subtracted profile") + ax2.legend() + + fig.tight_layout() + return fig + + def plot_trial_pixel_sizes( + self, + trial_sizes: list[float] | None = None, + material: str | None = None, + ) -> plt.Figure: + """Overlay expected ring positions on the residual for several + trial pixel sizes so the user can visually identify the correct + matching. + + Parameters + ---------- + trial_sizes + List of pixel sizes (1/Å per pixel) to try. Defaults to + three values spanning a plausible range. + material + Reference material whose rings are overlaid. Defaults to + ``self.material`` (set by :meth:`calibrate`) or ``'Au'``. + """ + if trial_sizes is None: + trial_sizes = [0.018, 0.026, 0.040] + + if material is None: + material = self.material or "Au" + q_ref = _q_values_for(material) + residual = getattr(self, "_residual", self.radial_profile) + r_max = float(self.radial_pixel_positions[-1]) + + n = len(trial_sizes) + fig, axes = plt.subplots(1, n, figsize=(5 * n, 4)) + if n == 1: + axes = [axes] + + for ax, ps in zip(axes, trial_sizes): + ax.plot(self.radial_pixel_positions, residual, "b-", linewidth=1) + if self.peak_pixel_positions is not None: + peak_y = np.interp(self.peak_pixel_positions, + self.radial_pixel_positions, residual) + ax.scatter( + self.peak_pixel_positions, + peak_y, + s=40, + color="red", + alpha=0.5, + edgecolors="none", + zorder=5, + ) + y_top = max(residual.max() * 1.05, 1.0) + for hkl, qv in q_ref.items(): + r_exp = qv / ps + if r_exp < r_max: + ax.axvline(r_exp, color="green", alpha=0.5, linestyle="--", linewidth=1) + ax.text( + r_exp + 0.5, + y_top * 0.92, + hkl, + rotation=90, + va="top", + fontsize=7, + color="green", + ) + ax.set_title(f"pixel_size = {ps} 1/\u00c5/px") + ax.set_xlabel("Radial position (pixels)") + ax.set_ylabel("Residual intensity") + ax.set_xlim(0, r_max) + ax.set_ylim(None, y_top) + + fig.tight_layout() + return fig + + def plot_calibration_fit(self) -> plt.Figure: + """Plot the linear calibration fit and residuals. + + Left panel shows matched peak positions vs. known q-values with + the zero-intercept linear fit. Right panel shows the residuals + (measured q - predicted q) for each matched reflection. + """ + if self.pixel_size is None or self.matched_q is None: + raise RuntimeError("No calibration available. Call calibrate() first.") + + r = self.matched_pixel_positions + q_pred = self.pixel_size * r + residuals = self.matched_q - q_pred + + fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4)) + + # --- Left: linear fit --- + ax1.scatter(r, self.matched_q, zorder=3, label="Matched peaks") + r_fit = np.linspace(0, r.max() * 1.1, 100) + ax1.plot( + r_fit, self.pixel_size * r_fit, "--", label=f"Fit: {self.pixel_size:.6f} 1/\u00c5/px" + ) + for i, hkl in enumerate(self.matched_hkl): + ax1.annotate(hkl, (r[i], self.matched_q[i]), textcoords="offset points", xytext=(5, 5)) + ax1.set_xlabel("Radial position (pixels)") + ax1.set_ylabel("q (1/\u00c5)") + ax1.set_title("Calibration fit") + ax1.legend() + + # --- Right: residuals --- + ax2.stem(r, residuals, markerfmt="o", basefmt="k-") + for i, hkl in enumerate(self.matched_hkl): + ax2.annotate( + hkl, (r[i], residuals[i]), textcoords="offset points", xytext=(5, 5), fontsize=8 + ) + ax2.axhline(0, color="gray", linewidth=0.5) + ax2.set_xlabel("Radial position (pixels)") + ax2.set_ylabel("\u0394q (1/\u00c5)") + ax2.set_title("Residuals (measured - predicted)") + + fig.tight_layout() + return fig diff --git a/src/quantem/diffraction/ellipticity.py b/src/quantem/diffraction/ellipticity.py new file mode 100644 index 000000000..2ce237523 --- /dev/null +++ b/src/quantem/diffraction/ellipticity.py @@ -0,0 +1,400 @@ +import numpy as np +import torch +import torch.nn.functional as F +from numpy.typing import NDArray + +from quantem.core.datastructures.dataset2d import Dataset2d +from quantem.core.datastructures.dataset4dstem import Dataset4dstem + + +# --------------------------------------------------------------------------- +# Main API +# --------------------------------------------------------------------------- + + +def fit_elliptical_distortion( + data: Dataset4dstem | Dataset2d, + center: tuple[float, float], + fit_radii: tuple[float, float], + p0: torch.Tensor | None = None, + mask: NDArray | torch.Tensor | None = None, + device: str = "cpu", + max_iter: int = 500, + lr: float = 0.5, + write_metadata: bool = True, +) -> dict: + """Fit elliptical distortion from the mean diffraction pattern. + + Fits a central-beam Gaussian + a two-sided ("Janus") elliptical ring + a constant background to the + mean diffraction pattern. The ellipse is parameterized in + **canonical-conic** form ``(A, B, C)`` — which stays smooth through + the circular point (no theta degeneracy at low ellipticity). + + Model + ----- + Let ``u_col = col - col0`` and ``u_row = row - row0`` be the pixel + offsets from the fitted center. The ring is the level set of the + form: + + A·u_col² + B·u_col·u_row + C·u_row² = 1 + + with semiaxes ``a`` and ``b`` derived from (A, B, C) (see + :func:`convert_ellipse_params`) and mean ring radius + ``R = (a + b) / 2``. Define an ellipse-adapted radial coordinate ρ + that is 0 at the center, R on the ring, and grows linearly along every ray from + the center. Iso-ρ contours are concentric ellipses similar to + the ring. In pixel units: + + ρ = R · √(A·u_col² + B·u_col·u_row + C·u_row²) + + For a circle, ρ reduces to the ordinary Euclidean radius + ``√(u_col² + u_row²)``. The model intensity is: + + f = I0 · exp(-ρ² / (2·σ0²)) # central beam + + I1 · exp(-(ρ - R)² / (2·σ1²)) · Θ(R - ρ) # inner ring half + + I1 · exp(-(ρ - R)² / (2·σ2²)) · Θ(ρ - R) # outer ring half + + c_bkgd + + where Θ is the Heaviside step. Inner and outer halves share the same + amplitude I1 and meet continuously at ρ = R, but with different + half-widths σ1 (inside the ring) and σ2 (outside). The 11 fit + parameters ``(I0, I1, σ0, σ1, σ2, c_bkgd, row0, col0, A, B, C)`` are + described under :func:`_amorphous_ring_model`. The central beam + shares the elliptical metric, so its iso-intensity contours are + ellipses concentric with the ring. + + Algorithm + --------- + The mean DP is reduced once over all scan positions (or used + directly for 2D input). The fit minimizes the loss over pixels in + the annulus ``fit_radii``, using torch Adam. Softplus + conic rescale gives us GPU-compatible gradients + and built-in positivity. + + Parameters + ---------- + data : Dataset4dstem or Dataset2d + ``Dataset4dstem`` is averaged over scan + positions to produce the mean DP. ``Dataset2d`` (e.g. SAED) is + used directly. + center : (float, float) + Approximate (row, col) center; refined to sub-pixel by the fit + via the ``row0, col0`` offset parameters. + fit_radii : (float, float) + Inner and outer radii in pixels of the annular fit region. The + annulus should bracket the ring and exclude the central beam. + p0 : Tensor or None + Optional initial guess for all 11 model parameters in the order + ``(I0, I1, σ0, σ1, σ2, c_bkgd, row0, col0, A, B, C)`` (see + :func:`_amorphous_ring_model`). If ``None``, all 11 are + auto-estimated. + mask : ndarray, Tensor, or None + Optional boolean mask of shape ``(n_row, n_col)``. + ``True`` = exclude pixel. + device : str + Torch device for the fit. + max_iter : int + Number of Adam iterations. + lr : float + Adam learning rate. + write_metadata : bool + If True (default), stamp ``data.metadata["ellipticity"]`` with + the fitted ``(a, b, theta_deg)``. + + Returns + ------- + dict with keys: + "ellipse_params" : (a, b, theta_deg) + Semimajor axis, semiminor axis (``a ≥ b``), and tilt of the + semimajor axis measured from the column axis toward the row + axis, in degrees, in the range ``[-90, 90)``. Usable + directly as the ``ellipse_params`` argument of + :func:`polar_transform`. + "center" : (row, col) + Refined center = ``center + (row0, col0)``. + "fit_params" : Tensor of shape (11,) + All 11 fitted parameters in canonical-conic form. Recover + ``(a, b, θ_rad)`` from the last three with + :func:`convert_ellipse_params`. + "cost" : float + Sum of squared residuals over the fit region at the + best-loss iterate. + """ + # Compute mean DP over all scan positions + data_t = ( + torch.from_numpy(np.ascontiguousarray(data.array)) + if data.array is not None + else data.tensor + ) + if data_t.ndim == 4: + mean_dp = data_t.mean(dim=(0, 1), dtype=torch.float32) + elif data_t.ndim == 2: + mean_dp = data_t.to(torch.float32) + else: + raise ValueError( + f"Got data with shape {tuple(data.shape)}. Expected a 2D or 4D-STEM dataset." + ) + + dp_t = mean_dp.to(device) + n_row, n_col = dp_t.shape + center_row, center_col = float(center[0]), float(center[1]) + r_inner, r_outer = float(fit_radii[0]), float(fit_radii[1]) + # Build coordinate grids relative to center + row_offsets = torch.arange(n_row, dtype=torch.float32, device=device) - center_row + col_offsets = torch.arange(n_col, dtype=torch.float32, device=device) - center_col + offset_row_grid, offset_col_grid = torch.meshgrid(row_offsets, col_offsets, indexing="ij") + r_grid = torch.sqrt(offset_col_grid**2 + offset_row_grid**2) + # Select pixels and data in annular region + annular_mask = (r_grid > r_inner) & (r_grid < r_outer) + if mask is not None: + if isinstance(mask, np.ndarray): + mask_t = torch.from_numpy(mask.astype(bool)).to(device) + else: + mask_t = mask.bool().to(device) + annular_mask = annular_mask & ~mask_t + offset_row_fit = offset_row_grid[annular_mask] + offset_col_fit = offset_col_grid[annular_mask] + val_fit = dp_t[annular_mask] + if val_fit.numel() == 0: + raise ValueError("No pixels in the fitting annulus. Check center and fit_radii.") + + # Auto-estimate initial parameters if not provided + if p0 is None: + # Radial integral (r-weighted) to find ring peak. + # Weighting by r suppresses the central beam contribution. + r_flat = r_grid[annular_mask] + # make a binned 1d hist to find ring peak + nbins = max(int(r_outer - r_inner), 10) + bin_step = (r_outer - r_inner) / nbins + bin_idx = ((r_flat - r_inner) / bin_step).long().clamp(0, nbins - 1) + radial_integral = torch.zeros(nbins, device=device).scatter_add_(0, bin_idx, val_fit) + # get ring peak's radius in pixels (bin center) + peak_idx = radial_integral.argmax().item() + R_init = r_inner + (peak_idx + 0.5) * bin_step + # set init param guesses + c_bkgd_init = max(float(val_fit.min()), 0.0) + near_ring = val_fit[(r_flat - R_init).abs() < 3.0] + if near_ring.numel() == 0: + raise ValueError( + f"No annulus pixels within 3 px of R_init={R_init:.1f}. " + "Annulus is too narrow or fit_radii is misaligned with the ring." + ) + I1_init = max(float(near_ring.mean()) - c_bkgd_init, 1.0) + I0_init = max(float(dp_t[int(center_row), int(center_col)]) - c_bkgd_init, 1.0) + # All sigmas in pixel units + sigma0_init = R_init * 0.3 + sigma1_init = R_init * 0.15 + sigma2_init = R_init * 0.2 + + A_init, B_init, C_init = convert_ellipse_params_r(R_init, R_init, 0.0) + p0 = torch.tensor( + [ + I0_init, + I1_init, + sigma0_init, + sigma1_init, + sigma2_init, + c_bkgd_init, + 0.0, # row0 offset (relative to provided center) + 0.0, # col0 offset + A_init, # conic A (init as circle of radius R_init) + B_init, # conic B + C_init, # conic C + ], + dtype=torch.float32, + device=device, + ) + else: + if isinstance(p0, np.ndarray): + p0 = torch.from_numpy(p0.astype(np.float32)).to(device) + p0 = p0.float().to(device) + + def _inv_softplus(x: float) -> float: + """Inverse of softplus: log(exp(x) - 1).""" + if x > 20.0: + return x + return float(np.log(np.expm1(x))) + + # Optimize an unconstrained raw, the live param is softplus(raw) > 0 to + # ensure positivity. Adam can step a param through zero, so this guard is needed. + _POS_IDX = [0, 1, 2, 3, 4, 5, 8, 10] # I0, I1, sigma0-2, c_bkgd, A, C + _CONIC_IDX = [8, 9, 10] # A, B, C + # Conic rescale by R0^2. The conic equation A·u²+B·uv+C·v² = 1 forces + # A,B,C ~ 1/R² physically, but LR is tuned for the larger params, so without + # this rescale (A,B,C) would barely move. We pick R0 from the initial + # circle init and hold it fixed during optimization to avoid feedback loops. + a0, b0, _ = convert_ellipse_params( + float(p0[8]), + float(p0[9]), + float(p0[10]), + ) + R2 = ((a0 + b0) / 2.0) ** 2 + raw = p0.clone() + for i in _CONIC_IDX: + raw[i] = raw[i] * R2 + for i in _POS_IDX: + raw[i] = _inv_softplus(max(float(raw[i]), 1e-6)) + raw = raw.requires_grad_(True) + + def _to_physical(raw_params: torch.Tensor) -> torch.Tensor: + """Map unconstrained raw params to physical params.""" + phys = raw_params.clone() + for i in _POS_IDX: + phys[i] = F.softplus(raw_params[i]) + for i in _CONIC_IDX: + phys[i] = phys[i] / R2 + return phys + + optimizer = torch.optim.Adam([raw], lr=lr) + # Track the best iterate seen + best_loss = float("inf") + best_raw = raw.detach().clone() + for _ in range(max_iter): + optimizer.zero_grad() + phys = _to_physical(raw) + model_vals = _amorphous_ring_model(phys, offset_row_fit, offset_col_fit) + loss = ((model_vals - val_fit) ** 2).mean() + lv = loss.item() + if lv < best_loss: + best_loss = lv + best_raw = raw.detach().clone() + loss.backward() + optimizer.step() + with torch.no_grad(): + # the canonical conic is an ellipse if B² < 4·A·C. + # A and C stay > 0 from softplus; clamping |B| < 2·√(A·C)·0.999 + # enforces B² < 4·A·C strictly. + A_hat = F.softplus(raw[8]) + C_hat = F.softplus(raw[10]) + B_hat_max = 2.0 * torch.sqrt(A_hat * C_hat) * 0.999 + raw[9].clamp_(-B_hat_max, B_hat_max) + # Extract final parameters + with torch.no_grad(): + final_params = _to_physical(best_raw) + final_loss = best_loss * val_fit.numel() + a_fit, b_fit, theta_fit_rad = convert_ellipse_params( + float(final_params[8]), + float(final_params[9]), + float(final_params[10]), + ) + theta_fit_deg = float(np.degrees(theta_fit_rad)) + # Normalize angle to [-90, 90) + theta_fit_deg = ((theta_fit_deg + 90.0) % 180.0) - 90.0 + # Refined center = nominal center + fitted offset + refined_row = center_row + float(final_params[6]) + refined_col = center_col + float(final_params[7]) + if write_metadata: + data.metadata["ellipticity"] = (a_fit, b_fit, theta_fit_deg) + return { + "ellipse_params": (a_fit, b_fit, theta_fit_deg), + "center": (refined_row, refined_col), + "fit_params": final_params, + "cost": final_loss, + } + + +def _amorphous_ring_model( + params: torch.Tensor, + offset_row: torch.Tensor, + offset_col: torch.Tensor, +) -> torch.Tensor: + """Evaluate a parametric amorphous ring diffraction model. + + The model consists of a central-beam Gaussian, an asymmetric Gaussian ring + (with separate inner and outer half-widths), and a constant background. + Both the central beam and the ring share an elliptical radial metric + given by ``A*x^2 + B*x*y + C*y^2 = 1`` (x = column offset, y = row offset + from the fitted center). + + Parameters + ---------- + params : torch.Tensor + 11 model parameters: (I0, I1, sigma0, sigma1, sigma2, c_bkgd, + row0, col0, A, B, C) where: + - I0: central beam peak intensity + - I1: ring peak intensity + - sigma0: central beam width in pixels + - sigma1: ring inner half-width in pixels + - sigma2: ring outer half-width in pixels + - c_bkgd: constant background + - row0, col0: center offsets from nominal center in pixels + - A, B, C: canonical conic parameters; the ring lies on + ``A*u_col^2 + B*u_col*u_row + C*u_row^2 = 1`` + offset_row : torch.Tensor + Row pixel offsets from the nominal center. + offset_col : torch.Tensor + Column pixel offsets from the nominal center. + + Returns + ------- + torch.Tensor + Model intensity values at each (offset_row, offset_col) position. + """ + I0, I1, sigma0, sigma1, sigma2, c_bkgd, row0, col0, A, B, C = params + # Shift coordinates by fitted center offset + u_col = offset_col - col0 + u_row = offset_row - row0 + # Ring radius in pixels = mean semiaxis; rescale the conic by R^2 so the + # elliptical radial coordinate r is in pixel units (r = R on the ring) + a, b = _ellipse_semiaxes(A, B, C) + ring_radius = (a + b) / 2.0 + r2 = ring_radius**2 * (A * u_col**2 + B * u_col * u_row + C * u_row**2) + r_elliptical = torch.sqrt(torch.clamp(r2, min=1e-12)) + # Central beam Gaussian in the shared elliptical metric + central = I0 * torch.exp(-r2 / (2.0 * sigma0**2)) + # Asymmetric ring: deviation from the ring radius, in pixel units + dr_pixels = r_elliptical - ring_radius + inner_mask = (dr_pixels < 0).float() + outer_mask = 1.0 - inner_mask + ring = I1 * ( + inner_mask * torch.exp(-(dr_pixels**2) / (2.0 * sigma1**2)) + + outer_mask * torch.exp(-(dr_pixels**2) / (2.0 * sigma2**2)) + ) + return central + ring + c_bkgd + + +# --------------------------------------------------------------------------- +# Helpers +# --------------------------------------------------------------------------- + + +def convert_ellipse_params(A: float, B: float, C: float) -> tuple[float, float, float]: + """Convert canonical-conic ellipse parameters to semiaxes and tilt.""" + val = np.sqrt((A - C) ** 2 + B**2) + b4a = B**2 - 4.0 * A * C + if B == 0: + theta = 0.0 if A < C else np.pi / 2.0 + else: + theta = np.arctan2((C - A - val), B) + a = -np.sqrt(-2.0 * b4a * (A + C + val)) / b4a + b = -np.sqrt(-2.0 * b4a * (A + C - val)) / b4a + a, b = max(a, b), min(a, b) + return float(a), float(b), float(theta) + + +def convert_ellipse_params_r(a: float, b: float, theta: float) -> tuple[float, float, float]: + """Convert ellipse semiaxes and tilt to canonical-conic parameters. + Inverse of :func:`convert_ellipse_params`. + """ + sin2, cos2 = np.sin(theta) ** 2, np.cos(theta) ** 2 + a2, b2 = a**2, b**2 + A = sin2 / b2 + cos2 / a2 + C = cos2 / b2 + sin2 / a2 + B = 2.0 * (b2 - a2) * np.sin(theta) * np.cos(theta) / (a2 * b2) + return float(A), float(B), float(C) + + +def _ellipse_semiaxes( + A: torch.Tensor, B: torch.Tensor, C: torch.Tensor +) -> tuple[torch.Tensor, torch.Tensor]: + """Differentiable semiaxis lengths of the conic ``A*x^2 + B*x*y + C*y^2 = 1``. + + Torch counterpart of the (a, b) part of :func:`convert_ellipse_params`, + used inside the fit model. The clamps guard the sqrt at the circular + point (where ``(A - C)**2 + B**2 == 0``) and keep the discriminant + strictly negative so gradients stay finite. + """ + val = torch.sqrt(torch.clamp((A - C) ** 2 + B**2, min=1e-24)) + b4a = torch.clamp(B**2 - 4.0 * A * C, max=-1e-24) + a = -torch.sqrt(torch.clamp(-2.0 * b4a * (A + C + val), min=1e-24)) / b4a + b = -torch.sqrt(torch.clamp(-2.0 * b4a * (A + C - val), min=1e-24)) / b4a + return a, b diff --git a/src/quantem/diffraction/PDFs_3batch.py b/src/quantem/diffraction/gr_truth.py similarity index 99% rename from src/quantem/diffraction/PDFs_3batch.py rename to src/quantem/diffraction/gr_truth.py index e0c3b14c3..9e6ee40b1 100644 --- a/src/quantem/diffraction/PDFs_3batch.py +++ b/src/quantem/diffraction/gr_truth.py @@ -1,3 +1,7 @@ +""" +Adapted from PDFs_3batch by Arthur McCray (renamed 9/23/2026) +""" + import numpy as np import time diff --git a/src/quantem/diffraction/PDFs_3batch_2d.py b/src/quantem/diffraction/gr_truth_2d.py similarity index 99% rename from src/quantem/diffraction/PDFs_3batch_2d.py rename to src/quantem/diffraction/gr_truth_2d.py index a09b4e9d4..40fe521dd 100644 --- a/src/quantem/diffraction/PDFs_3batch_2d.py +++ b/src/quantem/diffraction/gr_truth_2d.py @@ -1,4 +1,6 @@ """ +Adapted from PDFs_3batch by Arthur McCray (renamed 9/23/2026) + PDF3B with support for 2D (monolayer / coplanar) structures. Differences from PDFs_3batch.py diff --git a/src/quantem/diffraction/plotting.py b/src/quantem/diffraction/plotting.py deleted file mode 100644 index 84331aa69..000000000 --- a/src/quantem/diffraction/plotting.py +++ /dev/null @@ -1,145 +0,0 @@ -import matplotlib.pyplot as plt -import numpy as np - - -def _range_mask(x, xmin, xmax): - """Return a boolean mask selecting `x` within [xmin, xmax], defaulting to all True.""" - if xmin is None and xmax is None: - return np.ones_like(x, dtype=bool) - xmin_eff = x.min() if xmin is None else xmin - xmax_eff = x.max() if xmax is None else xmax - if xmax_eff <= xmin_eff: - raise ValueError(f"xmax must be > xmin (got xmin={xmin_eff}, xmax={xmax_eff}).") - mask = (x >= xmin_eff) & (x <= xmax_eff) - if not np.any(mask): - raise ValueError("Requested plot range contains no data.") - return mask - - -def _nearest_index(x, value): - return int(np.argmin(np.abs(x - value))) - - -def plot_diagonal( - padf, - rmin: float | None = None, - rmax: float | None = None, - figsize: tuple[float, float] = (7, 5), - returnfig: bool = False, -): - """ - Plot the r = r' diagonal of the PADF as a 2D map with r on the x-axis - (Angstrom) and theta on the y-axis (degrees). - - Equivalent view to PairAngleDistributionFunction.simple_plot(), but with - physical-unit axes taken from padf.r / padf.theta_deg instead of raw - array indices. - """ - r = padf.r - theta_deg = padf.theta_deg - - diag = np.einsum("iik->ik", padf.padf.numpy() if hasattr(padf.padf, "numpy") else np.asarray(padf.padf)) # (Nr, Ntheta) - - r_mask = _range_mask(r, rmin, rmax) - r_sel = r[r_mask] - diag = diag[r_mask, :].T # (Ntheta, Nr_sel) - - fig, ax = plt.subplots(figsize=figsize) - im = ax.pcolormesh(r_sel, theta_deg, diag, shading="auto") - fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") - - ax.set_xlabel("r = r' (Å)") - ax.set_ylabel(r"$\theta$ (degrees)") - ax.set_title("PADF diagonal") - fig.tight_layout() - - if returnfig: - return fig - plt.show() - - -def plot_theta0_map( - padf, - rmin: float | None = None, - rmax: float | None = None, - figsize: tuple[float, float] = (6, 5), - returnfig: bool = False, -): - """ - Plot Theta(r, r', theta=0) as a 2D map over the full (r, r') grid, - reproducing the top row of Fig. 2 in Martin (2017). - """ - return plot_rrp_slice(padf, theta_deg=0.0, rmin=rmin, rmax=rmax, figsize=figsize, returnfig=returnfig) - - -def plot_rrp_slice( - padf, - theta_deg: float, - rmin: float | None = None, - rmax: float | None = None, - figsize: tuple[float, float] = (6, 5), - returnfig: bool = False, -): - """ - Plot Theta(r, r', theta) as a 2D map over the full (r, r') grid at a - fixed angle theta (degrees), generalizing plot_theta0_map to any theta. - """ - r = padf.r - theta_axis = padf.theta_deg - - padf_arr = padf.padf.numpy() if hasattr(padf.padf, "numpy") else np.asarray(padf.padf) - theta_idx = _nearest_index(theta_axis, theta_deg) - slice_2d = padf_arr[:, :, theta_idx] # (Nr, Nr') - - r_mask = _range_mask(r, rmin, rmax) - r_sel = r[r_mask] - slice_2d = slice_2d[np.ix_(r_mask, r_mask)] - - fig, ax = plt.subplots(figsize=figsize) - im = ax.pcolormesh(r_sel, r_sel, slice_2d.T, shading="auto") - fig.colorbar(im, ax=ax, label=r"$\Theta(r, r', \theta)$") - - ax.set_xlabel("r (Å)") - ax.set_ylabel("r' (Å)") - ax.set_title(rf"$\Theta(r, r', \theta={theta_axis[theta_idx]:.1f}\degree)$") - fig.tight_layout() - - if returnfig: - return fig - plt.show() - - -def plot_angular_slice( - padf, - r_shell: float | list[float], - figsize: tuple[float, float] = (6, 4), - returnfig: bool = False, -): - """ - Plot Theta(r, r, theta) vs theta (degrees) at one or more fixed radial - shells r = r', reproducing the top row of Fig. 3 in Martin (2017). - - r_shell : float or list of float - Radial distance(s) in Angstrom (Angstrom) at which to take the r = r' shell. - Nearest available r bin is used. - """ - r = padf.r - theta_deg = padf.theta_deg - padf_arr = padf.padf.numpy() if hasattr(padf.padf, "numpy") else np.asarray(padf.padf) - - shells = [r_shell] if np.isscalar(r_shell) else list(r_shell) - - fig, ax = plt.subplots(figsize=figsize) - for shell in shells: - idx = _nearest_index(r, shell) - ax.plot(theta_deg, padf_arr[idx, idx, :], label=f"r = r' = {r[idx]:.2f} Å") - - ax.set_xlabel(r"$\theta$ (degrees)") - ax.set_ylabel(r"$\Theta(r, r, \theta)$") - ax.set_title("Angular dependence of PADF") - ax.legend() - fig.tight_layout() - - if returnfig: - return fig - plt.show() diff --git a/src/quantem/diffraction/repeated_fe_4dstem/repeated_fe_4dstem1020.npy b/src/quantem/diffraction/repeated_fe_4dstem/repeated_fe_4dstem1020.npy deleted file mode 100644 index 5bc0272f13c96fe6ad708b000f5c26efc15ca528..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 4700352 zcmb4~iC;{A+{KerDyc*vX_KV&o+C;~B_v6dRA`fAOG3g=+N6?-7L|k~L?I+0glyT9 zBzuyO5VAe@dH#cEUh|rH&7FD8%$>RS^F5#UIiGFLZc|-mcavBpv36*{{1yJ8L#?!i zS_g8dk=D?_WualAzDwsV3k{h6zuO&r7q6HvZeJ1P8!}&fY(OI|@hXfo|G%4IMq2B& 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zP@$~W&j@0c=$#&q^uQCCsv(9J!6jJgw&UAvZ5lf_f~=Ed$&sJott@3I_r8Eyl_bcg zNQ#Pty~w;%jU){LUF+cUTBRY~TvWwp&e62@x-5Or;C%zfxdX;ofj*QCA3FM? zSXCj!^ledN{t>!Q7L$tfbovBI?n{v;&7DihBut8`{=3cZ`2@_q$Jup}?`&w-22=>0pgGkGv3!TBz<3+9 zWlgc~<^hDiiNw3qzj2|onZ@7uk42Y9vcHx8VYcsPqiJRhYrJWIjv#BO`piS3R2}=| zB!Y4IcbH3pBo-f+NAtZ3w%4mn=#f2N7+EqykgMyi+Z?`8CoJ55PFY{#?B;kq_5TBT Cj?01o From 36d8475a664ae7a78e49beb26c1dc271d483d76a Mon Sep 17 00:00:00 2001 From: Colin Ophus Date: Sat, 24 Oct 2026 15:23:57 -0700 Subject: [PATCH 35/45] padf.py from Karen: sin-weighted Legendre fit, per-theta PADF output Co-Authored-By: Claude Opus 5.5 --- src/quantem/diffraction/padf.py | 421 +++++--------------------------- 1 file changed, 61 insertions(+), 360 deletions(-) diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index f37807cdd..daa64fc10 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -27,7 +27,7 @@ class PairAngleDistributionFunction(AutoSerialize): 2. polar_transform(ds, origin_array=self.origin) 3. rescale_intensity(self.polar, rho=1, fq=1) 4. compute_avg_angular_correlation(self.polar_rescaled) - 5. correct_angular_correlation(self.ang_corr) # theta-mean subtraction + |sin(theta)| factor + 5. subtract_angular_mean(self.ang_corr) 6. extract_Bl_matrices(self.ang_corr_corrected) 7. transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) 8. reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], self.ds.shape[0] * self.ds.shape[1]) @@ -53,7 +53,7 @@ def __init__(self, self.polar_rescaled = self.rescale_intensity(self.polar, rho=rho, fq=fq) self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) - self.ang_corr_corrected = self.correct_angular_correlation(self.ang_corr) + self.ang_corr_corrected = self.subtract_angular_mean(self.ang_corr) self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr_corrected) # radial q calibration of the polar dataset: bin i sits at q_min + i * dq dq = float(np.asarray(self.polar.sampling)[3]) @@ -128,30 +128,32 @@ def compute_avg_angular_correlation(self, data): C_avg = (C_sum / N_alpha) * dphi return C_avg - def correct_angular_correlation(self, - C_avg: torch.Tensor, - subtract_mean: bool = True, - sintheta: bool = True): + def subtract_angular_mean(self, C_avg: torch.Tensor): """ - Corrections applied to the angular correlation before B_l extraction, - matching the pypadf maskcorr.py defaults: - - - subtract_mean: subtract the theta-average from each (q, q') ring, - removing the dominant isotropic (uncorrelated) background. - - sintheta: multiply by |sin(theta)| (evaluated at bin centers). - This is the conversion factor between the correlation function and - the PADF (eq 11), applied in q-space as in the pypadf workflow. + Subtract the theta-average from each (q, q') ring of the angular + correlation, removing the uncorrelated background. + + Matches the subtraction in pypadf's maskcorr.py. We do not apply their |sin(theta)| + factor here because it changes the function being expanded and mixes Legendre orders + before the order-dependent Bessel transforms. Instead, we sin-weight the Legendre + fit in extract_Bl_matrices() to match the d(cos theta) measure of the Legendre + polynomials. + """ + return C_avg - C_avg.mean(dim=0, keepdim=True) + + def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05, sin_weight=True, + theta_exclude=0.0): + """ + sin_weight : bool + Weight each angle in the least-squares fit by |sin(theta)|. C is + sampled evenly in theta, but Legendre polynomials are orthogonal in + cos(theta), and near 0 and 180 deg many samples crowd into a small + range of cos(theta). Since |sin(theta)| d(theta) = |d cos(theta)|, + this weight counts each sample by the cos(theta) range it covers. + theta_exclude : float + In degrees, correlation bins within theta_exclude of 0 and 360 deg get zero + weight in the fit. Use to exclude self correlations and keeps them out of B_l. """ - C = C_avg.clone() - Nphi = C.shape[0] - if subtract_mean: - C -= C.mean(dim=0, keepdim=True) - if sintheta: - theta = 2.0 * torch.pi * (torch.arange(Nphi, dtype=C.dtype) + 0.5) / Nphi - C *= torch.abs(torch.sin(theta))[:, None, None] - return C - - def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05): # Equation 9, 10, 11 # for each l: # build the linear system relating C to B_l(q, q') @@ -171,6 +173,14 @@ def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05): X = cos_dphi.reshape(Nphi, 1) leg_matrix = eval_legendre(L, X) # Shape due to broadcasting (Nphi, Nl) + # per-angle fit weight: sqrt|sin| (sin_weight), zero within theta_exclude of 0/360 deg + w = torch.sqrt(torch.abs(torch.sin(dphi))) if sin_weight else torch.ones_like(dphi) + if theta_exclude > 0: + te = np.deg2rad(theta_exclude) + w[(dphi < te) | (dphi > 2 * torch.pi - te)] = 0 + leg_matrix = leg_matrix * w[:, None] + C_flat = C_flat * w[:, None] + U, S, Vh = torch.linalg.svd(leg_matrix, full_matrices=False) S_max = S.max() S_inv = torch.where(S > sv_cutoff * S_max, 1.0 / S, torch.zeros_like(S)) @@ -224,7 +234,7 @@ def transform_to_real_space(self, Bl_mats, l_values, dq=0.01, q_min=0.0, return real_Bl - def reconstruct_PADF(self, real_Bl, l_values, Na): + def reconstruct_PADF(self, real_Bl, l_values, Na, per_theta=True): """ Reconstruct the pair-angle distribution function from B_l(r, r') For each theta: @@ -233,6 +243,11 @@ def reconstruct_PADF(self, real_Bl, l_values, Na): NOTE: Theta will go from 0 to pi EDIT: Na should be number of atoms not number of dps + + per_theta : bool + The Legendre sum is the real-space correlation C(r, r', cos theta) + (pypadf paper eq. 10). If True, multiply by |sin theta| to return a + quantity proportional to Theta(r, r', theta) (pypadf paper eq. 11). """ padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180), dtype=torch.float64) theta = np.linspace(0, np.pi, 180) @@ -250,6 +265,8 @@ def reconstruct_PADF(self, real_Bl, l_values, Na): padf += Bl[:, :, np.newaxis] * Pl[np.newaxis, np.newaxis, :] padf *= 2 * torch.pi * Na + if per_theta: + padf *= torch.as_tensor(np.abs(np.sin(theta)), dtype=torch.float64) return padf def plot_g2_g3( @@ -415,344 +432,28 @@ def plot_g2_g3( return fig, (ax_g3, ax_g2) plt.show() - def plot_diagonal( - self, - rmin: float | None = None, - rmax: float | None = None, - r_display_power: int = 1, - r_max_display: float | None = None, - interior_theta_deg: tuple[float, float] = (15.0, 165.0), - r_marks=None, - markers=None, - title: str | None = None, - figsize: tuple[float, float] = (4.8, 4.4), - returnfig: bool = False, - ): - """ - Map of the PADF's r = r' diagonal, Theta(r, r, theta), plotted as angle - theta (y-axis) vs radius r (x-axis). - - The full PADF Theta(r, r', theta) lives on a 3D (r, r', theta) grid. The - r = r' diagonal is the self-correlation slice: for every radius r, how - the angular correlation Theta(r, r, theta) varies with theta. This is - the same diagonal collapsed to a single r^(2*r_display_power)-weighted - RMS number by the bottom (g2) panel of plot_g2_g3; here the theta - dependence is kept instead of being reduced away, so structure that g2 - averages out (e.g. which angles dominate at a given shell) is visible. - - Unlike plot_g2_g3's g3 map (which integrates the PADF over a chosen - radial shell on one axis, symmetrized over both r axes), this map takes - no integration and needs no symmetrization: r = r' is already a single, - well-defined line through the (r, r', theta) volume, so the diagonal is - read off directly as Theta(r, r, theta). - - As in plot_g2_g3, color limits are taken from the interior angular - range (theta in interior_theta_deg) rather than the full 0-180 range, - so the collinear theta ~ 0 / 180 bands - where the diagonal tends to be - large simply because forward/backward-scattered triplets are geometrically - degenerate - don't saturate the color scale and hide the interior-angle - structure. The display is weighted by r^(2 * r_display_power), matching - plot_g2_g3's convention (equivalent to weighting each of the two - coincident r, r' axes by r^r_display_power, as plot_theta does for its - off-diagonal map). - - Parameters - ---------- - padf : PairAngleDistributionFunction - Reconstructed PADF object exposing `.r` (radii), `.theta_deg` - (theta axis in degrees), and `.padf` (the (Nr, Nr, Ntheta) tensor - or array of Theta(r, r', theta)). - rmin, rmax : float or None - Display range of the radial axis (Angstroms). Defaults to - [0, r_max_display]. - r_display_power : int - Display weighting exponent; the map is multiplied by - r^(2 * r_display_power). 0 plots the raw diagonal values. - r_max_display : float or None - Upper limit of the radial axis if rmax is not given; defaults to - min(8 A, r.max()). - interior_theta_deg : (float, float) - Theta range (degrees) used both to select the color-scale quantile - and to mark the excluded collinear bands are outside of; defaults - to (15, 165), matching plot_g2_g3. - r_marks : sequence of float or None - Radii (e.g. known neighbor shell distances) marked with dotted - vertical lines. - markers : sequence of (r, theta_deg) or None - Expected diagonal maxima overlaid as open circles - e.g. the - (shell distance, arm-arm angle) targets from a known structure. A - third element per tuple, if present, scales the marker size - (relative multiplicity). - title : str or None - Figure title; a generic default is used if None. - figsize : (float, float) - Figure size in inches. - returnfig : bool - Return (fig, ax) instead of calling plt.show(). - - Returns - ------- - (fig, ax) if returnfig is True, otherwise None (the figure is shown). - """ - r = np.asarray(self.r) - theta_deg = np.asarray(self.theta_deg) - arr = self.padf.numpy() if hasattr(self.padf, "numpy") else np.asarray(self.padf) - - # r = r' diagonal: Theta(r, r, theta), shape (Nr, Ntheta) - diag = np.einsum("iik->ik", arr) - - if r_max_display is None: - r_max_display = float(min(8.0, r[-1])) - if rmax is None: - rmax = r_max_display - rmin_eff = 0.0 if rmin is None else rmin - if rmax <= rmin_eff: - raise ValueError(f"rmax must be > rmin (got rmin={rmin_eff}, rmax={rmax}).") + def simple_plot(self): + """ + Plot the r = r' diagonal of the PADF as a 2D map with + r = r' on the x-axis and theta on the y-axis. - r_mask = (r >= rmin_eff) & (r <= rmax) - if not np.any(r_mask): - raise ValueError("Requested plot range contains no data.") + Uses self.padf, which should be a (Nr, Nr, Ntheta) ndarray + (from reconstruct_PAD()) defined in __init__. + """ + # Take padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) + diag = np.einsum("iik->ik", self.padf) - # display weighting and orientation: theta on rows (y-axis), r on columns (x-axis) - weight = r ** (2 * r_display_power) - diag_disp = (diag * weight[:, None]).T # (Ntheta, Nr) - - # color limits from the interior angular range only, so the collinear - # theta ~ 0 / 180 bands don't saturate the scale - t_lo, t_hi = interior_theta_deg - interior_t = (theta_deg > t_lo) & (theta_deg < t_hi) - interior_vals = diag_disp[np.ix_(interior_t, r_mask)] - vmax = np.quantile(np.abs(interior_vals), 0.999) if interior_vals.size else \ - np.quantile(np.abs(diag_disp[:, r_mask]), 0.999) - - fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) - im = ax.pcolormesh( - r[r_mask], theta_deg, diag_disp[:, r_mask], - cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto", - ) - fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$", pad=0.02) + # Transpose so rows = theta, columns = r -> (Ntheta, Nr) + diag = diag.T - if markers is not None: - for mk in markers: - r_mk, t_mk = mk[0], mk[1] - size = 12.0 * (mk[2] ** 0.5) if len(mk) > 2 else 10.0 - if rmin_eff <= r_mk <= rmax: - ax.plot(r_mk, t_mk, "o", ms=max(size, 5.0), mfc="none", - mec="k", mew=1.0) - - if r_marks is not None: - for r_mk in r_marks: - ax.axvline(r_mk, color="k", ls=":", lw=0.8) - - ax.set_xlabel("r = r' (Å)") - ax.set_ylabel(r"$\theta$ (deg)") - ax.set_yticks(np.arange(0, 181, 45)) - ax.set_title( - title if title is not None - else f"r = r' diagonal, θ ∈ [0°, 180°]", - fontsize=10, - ) - - if returnfig: - return fig, ax - plt.show() - - # Theta helper - def _range_mask(self, x, xmin, xmax): - """Return a boolean mask selecting `x` within [xmin, xmax], defaulting to all True.""" - if xmin is None and xmax is None: - return np.ones_like(x, dtype=bool) - xmin_eff = x.min() if xmin is None else xmin - xmax_eff = x.max() if xmax is None else xmax - if xmax_eff <= xmin_eff: - raise ValueError(f"xmax must be > xmin (got xmin={xmin_eff}, xmax={xmax_eff}).") - mask = (x >= xmin_eff) & (x <= xmax_eff) - if not np.any(mask): - raise ValueError("Requested plot range contains no data.") - return mask - - # Theta helper - def _nearest_index(self, x, value): - return int(np.argmin(np.abs(x - value))) - - def plot_theta( - self, - theta_deg: float, - rmin: float | None = None, - rmax: float | None = None, - r_display_power: int = 0, - r_max_display: float | None = None, - r_search_min: float = 0.5, - r_marks=None, - markers=None, - title: str | None = None, - figsize: tuple[float, float] = (6, 5), - labels: bool = True, - cbar: bool = True, - returnfig: bool = False, - ): - """ - Plot Theta(r, r', theta) as a 2D map over the (r, r') grid at a fixed - angle theta (degrees), generalizing plot_theta0_map to any theta. - - The raw slice mixes two very different signals: a strong ridge along - r = r' (essentially the g2-like self-correlation already shown by - plot_g2_g3's bottom panel) and the much weaker off-diagonal r != r' - structure that encodes genuine 3-body angular correlations. Plotted - naively with a linear color scale, the diagonal ridge saturates the - colorbar and the off-diagonal structure disappears. This version: - - - Symmetrizes the slice over r <-> r', since swapping which atom is - "first" is just a relabeling and any asymmetry is numerical noise - from the reconstruction. - - Sets color limits from the off-diagonal region only (excluding a - small artifact zone near r = r' < r_search_min), analogous to how - plot_g2_g3 excludes the collinear theta bands when choosing vmax. - - Uses a diverging RdBu_r colormap centered at zero, since Theta can - be positive or negative. - - Optionally weights the display by (r * r')^r_display_power to - compensate for the PADF's natural radial amplitude decay. - - Draws the r = r' diagonal as a dashed reference line, and supports - the same r_marks / markers overlays as plot_g2_g3 for annotating - known neighbor distances or expected (r, r') pair maxima. - - Uses a square aspect ratio, since r and r' share the same units - and axis. - - Parameters - ---------- - theta_deg : float - Angle (degrees) at which to take the slice; snapped to the - nearest available theta bin. - rmin, rmax : float or None - Display range for both r and r' axes (Angstroms). Defaults to - [0, r_max_display]. - r_display_power : int - Display weighting exponent; the map is multiplied by - (r * r')^r_display_power. 0 plots the raw values. - r_max_display : float or None - Upper limit of both axes if rmax is not given; defaults to - min(8 A, r.max()). - r_search_min : float - Radii below this are excluded when computing the off-diagonal - color scale, avoiding r ~ 0 reconstruction artifacts. - r_marks : sequence of float or None - Radii (e.g. known neighbor shell distances) marked with dotted - lines on both axes. - markers : sequence of (r, r', [size]) or None - Expected (r, r') pair maxima overlaid as open circles; a third - element per tuple scales the marker size. - title : str or None - Figure title; a theta-value summary is used if None. - returnfig : bool - Return (fig, ax) instead of calling plt.show(). - """ - r = np.asarray(self.r) - theta_axis = np.asarray(self.theta_deg) - - padf_arr = self.padf.numpy() if hasattr(self.padf, "numpy") else np.asarray(self.padf) - theta_idx = self._nearest_index(theta_axis, theta_deg) - slice_2d = padf_arr[:, :, theta_idx] # (Nr, Nr') - - # symmetrize over r <-> r' - slice_2d = 0.5 * (slice_2d + slice_2d.T) - - if r_max_display is None: - r_max_display = float(min(8.0, r[-1])) - if rmax is None: - rmax = r_max_display - - r_mask = self._range_mask(r, rmin, rmax) - r_sel = r[r_mask] - slice_disp = slice_2d[np.ix_(r_mask, r_mask)] - - # display weighting - weight = r_sel ** r_display_power - slice_disp = slice_disp * weight[:, None] * weight[None, :] - - # color limits from off-diagonal region only, excluding a small - # zone near the origin where reconstruction artifacts dominate - keep = r_sel >= r_search_min - off_diag = ~np.eye(len(r_sel), dtype=bool) - keep_mask = np.outer(keep, keep) - sub_off = slice_disp[off_diag & keep_mask] - vmax = np.quantile(np.abs(sub_off), 0.999) if sub_off.size else np.quantile(np.abs(slice_disp), 0.999) - - fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) - im = ax.pcolormesh( - r_sel, r_sel, slice_disp.T, - cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto", - ) - if cbar: - fig.colorbar(im, ax=ax, label=r"$\Theta(r, r', \theta)$", pad=0.02) - - # r = r' reference line - ax.plot([r_sel[0], r_sel[-1]], [r_sel[0], r_sel[-1]], - color="k", lw=0.6, ls="--", alpha=0.5) - - if r_marks is not None: - for r_mk in r_marks: - ax.axvline(r_mk, color="k", ls=":", lw=0.8) - ax.axhline(r_mk, color="k", ls=":", lw=0.8) - - if markers is not None: - for mk in markers: - r_mk, rp_mk = mk[0], mk[1] - size = 12.0 * (mk[2] ** 0.5) if len(mk) > 2 else 10.0 - if r_mk <= r_sel[-1] and rp_mk <= r_sel[-1]: - ax.plot(r_mk, rp_mk, "o", ms=max(size, 5.0), - mfc="none", mec="k", mew=1.0) - - ax.set_aspect("equal") - if labels: - ax.set_xlabel("r (Å)") - ax.set_ylabel("r' (Å)") - ax.set_title( - title if title is not None - else rf"$\Theta(r, r', \theta={theta_axis[theta_idx]:.1f}\degree)$", - fontsize=10, - ) - - if returnfig: - return fig, ax - plt.show() - - ########################## OBSOLETE ########################## - - def plot_theta_simple( - self, - theta_deg: float, - rmin: float | None = None, - rmax: float | None = None, - figsize: tuple[float, float] = (6, 5), - returnfig: bool = False, - ): - """ - Plot Theta(r, r', theta) as a 2D map over the full (r, r') grid at a - fixed angle theta (degrees), generalizing plot_theta0_map to any theta. - """ - r = self.r - theta_axis = self.theta_deg - - padf_arr = self.padf.numpy() if hasattr(self.padf, "numpy") else np.asarray(self.padf) - theta_idx = self._nearest_index(theta_axis, theta_deg) - slice_2d = padf_arr[:, :, theta_idx] # (Nr, Nr') - - r_mask = self._range_mask(r, rmin, rmax) - r_sel = r[r_mask] - slice_2d = slice_2d[np.ix_(r_mask, r_mask)] - - fig, ax = plt.subplots(figsize=figsize) - im = ax.pcolormesh(r_sel, r_sel, slice_2d.T, shading="auto") - fig.colorbar(im, ax=ax, label=r"$\Theta(r, r', \theta)$") - - ax.set_xlabel("r (Å)") - ax.set_ylabel("r' (Å)") - ax.set_title(rf"$\Theta(r, r', \theta={theta_axis[theta_idx]:.1f}\degree)$") - fig.tight_layout() - - if returnfig: - return fig - plt.show() + fig, ax = plt.subplots(figsize=(7, 5)) + im = ax.pcolormesh(diag, shading="auto") + fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") + ax.set_xlabel("r = r' index") + ax.set_ylabel(r"$\theta$ index") + ax.set_title("PADF diagonal") + fig.tight_layout() + return ax From 992fb6f169b1183e4872e3ac3d4b188da5d44274 Mon Sep 17 00:00:00 2001 From: Colin Ophus Date: Sat, 24 Oct 2026 15:38:51 -0700 Subject: [PATCH 36/45] padf: bandlimit_volume for band-limiting model g3 to the measured q range and l_max Co-Authored-By: Claude Opus 5.5 --- src/quantem/diffraction/padf.py | 52 +++++++++++++++++++++++++++++++++ 1 file changed, 52 insertions(+) diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index daa64fc10..05ff040bf 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -457,3 +457,55 @@ def simple_plot(self): return ax + +# Band-limit a model g3(r, r', theta) to what a PADF measurement can resolve +# (pypadf blfilter.py approach): expand in P_l(cos theta) for even l < l_max, +# take each order to the measured q points with the order-l spherical Bessel +# transform, and transform back. +def bandlimit_volume( + G: NDArray, + r: NDArray, + theta_deg: NDArray, + q: NDArray, + l_max: int = 40, +) -> NDArray: + """ + Parameters + ---------- + G : (Nr, Nr, Ntheta) array + Volume on a uniform r grid, theta in [0, 180] degrees. + r : (Nr,) array + Radial grid (Angstroms), uniformly spaced. + theta_deg : (Ntheta,) array + Angles in degrees. + q : (Nq,) array + Measured q values (1/Angstroms, no 2 pi), uniformly spaced. + l_max : int + Even orders l = 0, 2, ..., < l_max are kept (same as extract_Bl_matrices). + + Returns + ------- + (Nr, Nr, Ntheta) array, the band-limited volume. + """ + G = np.asarray(G, dtype=np.float64) + r = np.asarray(r, dtype=np.float64) + q = np.asarray(q, dtype=np.float64) + theta = np.radians(np.asarray(theta_deg, dtype=np.float64)) + dr, dq = r[1] - r[0], q[1] - q[0] + l_values = np.arange(0, l_max, 2) + + # Legendre projection over theta with the sin(theta) d(theta) measure + dtheta = np.gradient(theta) + w = np.abs(np.sin(theta)) * dtheta + P = eval_legendre(l_values[:, None], np.cos(theta)[None, :]) # (Nl, Ntheta) + Gl = np.einsum("ijt,lt->lij", G, P * w[None, :]) * (2 * l_values[:, None, None] + 1) / 2 + + out = np.zeros_like(G) + arg = 2 * np.pi * np.outer(q, r) # (Nq, Nr) + for k, l in enumerate(l_values): + jl = spherical_jn(l, arg) + fwd = 4 * np.pi * jl * (r**2 * dr)[None, :] # r -> q + inv = 4 * np.pi * jl.T * (q**2 * dq)[None, :] # q -> r + Bq = fwd @ Gl[k] @ fwd.T + out += (inv @ Bq @ inv.T)[:, :, None] * P[k][None, None, :] + return out From 090ea0f90ed0513cc7734ca14906c183d53fded3 Mon Sep 17 00:00:00 2001 From: Colin Ophus Date: Sat, 24 Oct 2026 15:39:26 -0700 Subject: [PATCH 37/45] show_1d from diffractive_imaging (identical text) for PADF notebook line plots Co-Authored-By: Claude Opus 5.5 --- src/quantem/core/visualization/__init__.py | 1 + .../core/visualization/visualization.py | 159 ++++++++++++++++++ 2 files changed, 160 insertions(+) diff --git a/src/quantem/core/visualization/__init__.py b/src/quantem/core/visualization/__init__.py index 125fb02e0..76082a117 100644 --- a/src/quantem/core/visualization/__init__.py +++ b/src/quantem/core/visualization/__init__.py @@ -3,6 +3,7 @@ NormalizationConfig as NormalizationConfig, ) from quantem.core.visualization.show_params import ShowParams as ShowParams +from quantem.core.visualization.visualization import show_1d as show_1d from quantem.core.visualization.visualization import show_2d as show_2d from quantem.core.visualization.visualization_utils import ( ScalebarConfig as ScalebarConfig, diff --git a/src/quantem/core/visualization/visualization.py b/src/quantem/core/visualization/visualization.py index e252caa67..6575163c1 100644 --- a/src/quantem/core/visualization/visualization.py +++ b/src/quantem/core/visualization/visualization.py @@ -669,3 +669,162 @@ def show_2d( axs_out = axs return fig, axs_out + + +def show_1d( + arrays: ArrayLike | Sequence[ArrayLike] | Sequence[Sequence[ArrayLike]], + *, + x: ArrayLike | Sequence[ArrayLike] | None = None, + labels: str | Sequence[str] | Sequence[Sequence[str]] | None = None, + title: str | Sequence[str] | None = None, + xlabel: str | Sequence[str] | None = None, + ylabel: str | Sequence[str] | None = None, + log_y: bool | Sequence[bool] = False, + colors: Sequence[str] | None = None, + figax: tuple[Any, Any] | None = None, + axsize: tuple[float, float] = (5, 3), + save: os.PathLike | str | None = None, + **kwargs: Any, +) -> tuple[Any, Any]: + """Plot one or more 1D arrays as line profiles. + + A single array or a flat sequence of arrays is drawn in one panel, so that the curves can + be compared directly. A nested sequence draws one panel per inner sequence, in one row. + ``title``, ``xlabel``, ``ylabel``, and ``log_y`` may be scalars or one value per panel. + + Parameters + ---------- + arrays : ndarray or sequence of ndarray or sequence of sequences of ndarray + The 1D arrays to plot. + x : ndarray or sequence of ndarray, optional + Horizontal coordinates, either one array shared by all curves or one array per panel. + Defaults to the array indices. + labels : str or sequence of str or sequence of sequences of str, optional + Legend labels, one per curve. A legend is drawn in each panel that has labels. + title : str or sequence of str, optional + Panel titles. + xlabel, ylabel : str or sequence of str, optional + Axis labels. + log_y : bool or sequence of bool, default=False + Whether to use a logarithmic vertical axis. + colors : sequence of str, optional + Line colors, cycled over the curves of each panel. Defaults to ``viz.colors.set``. + figax : tuple, optional + (fig, axs) tuple to plot on. If None, a new figure and axes are created. + axsize : tuple, default=(5, 3) + Size of each panel in inches. + save : os.PathLike or str, optional + Path to save the figure to. + **kwargs : dict + Additional keyword arguments passed to ``matplotlib.axes.Axes.plot``, for example + ``marker``, ``linestyle``, or ``linewidth`` (default 2). + + Returns + ------- + fig : Figure + The matplotlib figure object. + axs : Axes | ndarray of Axes + A single Axes for one panel, otherwise a 1D ndarray of Axes. + + Examples + -------- + >>> depth = np.arange(9) * 17.5 + >>> fig, ax = show_1d( + ... [mean_potential, std_potential], + ... x=depth, + ... labels=["mean", "std"], + ... xlabel="depth (Å)", + ... ylabel="potential (rad)", + ... marker="o", + ... ) + """ + + def as_numpy(value: Any) -> Any: + if isinstance(value, (list, tuple)) and len(value) > 0 and np.isscalar(value[0]): + return np.asarray(value) # a plain list of numbers is one curve + return to_cpu(value) + + dpi = kwargs.pop("dpi", 300) + arrays = as_numpy(arrays) + if isinstance(arrays, np.ndarray): + arrays = [arrays] + panels = ( + [[as_numpy(a) for a in p] for p in arrays] + if not isinstance(arrays[0], np.ndarray) + else [list(arrays)] + ) + panels = [[np.asarray(a).ravel() for a in panel] for panel in panels] + num_panels = len(panels) + + def per_panel(value: Any, name: str) -> list[Any]: + if value is None or isinstance(value, (str, bool)): + return [value] * num_panels + value = list(value) + if len(value) != num_panels: + raise ValueError(f"{name} has {len(value)} entries for {num_panels} panels") + return value + + if x is None: + xs = [None] * num_panels + else: + x = as_numpy(x) + if isinstance(x, np.ndarray) and x.ndim == 1: + xs = [x] * num_panels + else: + xs = [np.asarray(v).ravel() for v in per_panel(x, "x")] + + if labels is None or isinstance(labels, str): + panel_labels = [[labels] for _ in range(num_panels)] + elif num_panels == 1 and all(isinstance(lab, str) for lab in labels): + panel_labels = [list(labels)] + else: + panel_labels = [ + [lab] if isinstance(lab, str) else list(lab) for lab in per_panel(labels, "labels") + ] + + titles = per_panel(title, "title") + xlabels = per_panel(xlabel, "xlabel") + ylabels = per_panel(ylabel, "ylabel") + log_ys = per_panel(log_y, "log_y") + colors = list(config.get("viz.colors.set")) if colors is None else list(colors) + kwargs.setdefault("linewidth", 2) + + if figax is not None: + fig, axs = figax + axs = np.atleast_1d(axs).ravel() + if len(axs) != num_panels: + raise ValueError(f"figax has {len(axs)} axes for {num_panels} panels") + else: + fig, axs = plt.subplots( + 1, num_panels, figsize=(axsize[0] * num_panels, axsize[1]), squeeze=False + ) + axs = axs.ravel() + + for ax, panel, xv, labs, ttl, xl, yl, logy in zip( + axs, panels, xs, panel_labels, titles, xlabels, ylabels, log_ys + ): + for k, y in enumerate(panel): + coords = np.arange(len(y)) if xv is None else xv + if len(coords) != len(y): + raise ValueError(f"x has length {len(coords)} but the curve has length {len(y)}") + label = labs[k] if k < len(labs) else None + ax.plot(coords, y, color=colors[k % len(colors)], label=label, **kwargs) + if logy: + ax.set_yscale("log") + if ttl is not None: + ax.set_title(ttl) + if xl is not None: + ax.set_xlabel(xl) + if yl is not None: + ax.set_ylabel(yl) + if any(lab is not None for lab in labs): + ax.legend() + + if figax is None: + fig.tight_layout() + + if save is not None: + print(f"Saving figure to {save}") + fig.savefig(save, bbox_inches="tight", dpi=dpi) + + return fig, (axs[0] if num_panels == 1 else axs) From dacbd49895c47d7d62e3374de6e9a39abeb9608d Mon Sep 17 00:00:00 2001 From: Colin Ophus Date: Sat, 24 Oct 2026 16:09:21 -0700 Subject: [PATCH 38/45] PADF model references and a-Si simulation helpers - padf_from_clusters / padf2d_from_clusters: model PADFs from all interatomic vectors (2-, 3-, 4-body terms), band-limited like the data - lattices.random_clusters / cluster_patterns: kinematic patterns of random clusters with the Weickenmeier-Kohl scattering factor - PairAngleDistributionFunction: l_max and r-grid kwargs; simple_plot in physical units with an optional volume to plot - PairAngleDistributionFunction2D.plot_diagonal: optional volume to plot - torch in place of scipy except spherical_jn / jv Co-Authored-By: Claude Opus 5.5 --- src/quantem/diffraction/lattices.py | 82 +++++++++++ src/quantem/diffraction/padf.py | 216 ++++++++++++++++++++++------ src/quantem/diffraction/padf2d.py | 73 +++++++++- 3 files changed, 324 insertions(+), 47 deletions(-) diff --git a/src/quantem/diffraction/lattices.py b/src/quantem/diffraction/lattices.py index 4772c2463..be2f590c7 100644 --- a/src/quantem/diffraction/lattices.py +++ b/src/quantem/diffraction/lattices.py @@ -8,6 +8,8 @@ - honeycomb (graphene-like, 2-atom basis; called "hexagonal" informally) - decagonal (10-fold quasilattice via the de Bruijn pentagrid method) +plus kinematic diffraction patterns of 3D structures (cluster_patterns). + All positions are computed in pixels with (row, col) ordering; bond lengths and atom widths are specified in Angstroms and converted with pixel_size_ang. """ @@ -15,6 +17,7 @@ import matplotlib.pyplot as plt import numpy as np from scipy.ndimage import gaussian_filter +import torch GOLDEN = (1 + np.sqrt(5)) / 2 @@ -454,3 +457,82 @@ def make_images( plt.show() return data, info + + +def cluster_patterns(atoms, n_patterns, n_px=256, q_max=2.5, r_cluster=None, + voltage=200e3, seed=0): + """ + Kinematic diffraction patterns of spherical clusters cut from a periodic + structure, each with a random centre and a random 3D orientation + (random_clusters, same seed). + + Projected atoms are deposited bilinearly on a grid at 2x Nyquist, Fourier + transformed and cropped to q_max. The bilinear kernel is divided out and + replaced by the Weickenmeier-Kohl electron scattering factor of each + element, so patterns follow f(q). + + Returns + ------- + patterns : (n_patterns, n_px, n_px) float32 intensities, q = 0 at n_px // 2. + dq : float, pixel size in 1/A. + """ + from quantem.diffraction.wk_scattering_factors import compute_WK_factor + + pix = 1.0 / (4.0 * q_max) + n_big = 2 * n_px + dq = 1.0 / (n_big * pix) + qx = (torch.arange(n_big, dtype=torch.float64) - n_big // 2) * dq + QX, QY = torch.meshgrid(qx, qx, indexing="ij") + Q = torch.hypot(QX, QY) + bilinear = torch.sinc(QX * pix) ** 2 * torch.sinc(QY * pix) ** 2 + crop = slice(n_big // 2 - n_px // 2, n_big // 2 + n_px // 2) + species = np.unique(atoms.numbers) + filters = { + z: (torch.from_numpy(compute_WK_factor(Q.numpy().ravel(), int(z), voltage, include_core=False, + include_phonon=False).real).reshape(Q.shape) / bilinear)[crop, crop] + for z in species + } + + patterns = torch.empty((n_patterns, n_px, n_px), dtype=torch.float32) + for k, (pos, z_atoms) in enumerate(random_clusters(atoms, n_patterns, r_cluster, seed)): + xy = torch.as_tensor(pos[:, :2] / pix + n_big / 2) + psi = 0 + for z in species: + p = xy[torch.as_tensor(z_atoms == z)] + i0 = torch.floor(p).long() + f = p - i0 + im = torch.zeros((n_big + 1) * (n_big + 1), dtype=torch.float64) + for di, dj, w in [(0, 0, (1 - f[:, 0]) * (1 - f[:, 1])), (0, 1, (1 - f[:, 0]) * f[:, 1]), + (1, 0, f[:, 0] * (1 - f[:, 1])), (1, 1, f[:, 0] * f[:, 1])]: + im.index_add_(0, (i0[:, 0] + di) * (n_big + 1) + i0[:, 1] + dj, w) + im = im.reshape(n_big + 1, n_big + 1)[:n_big, :n_big] + psi = psi + torch.fft.fftshift(torch.fft.fft2(im))[crop, crop] * filters[z] + patterns[k] = torch.abs(psi) ** 2 + return patterns.numpy(), dq + + +def random_clusters(atoms, n_clusters, r_cluster=None, seed=0): + """ + Yield (positions, atomic numbers) of spherical clusters cut from a periodic + structure, each with a random centre and rotated to a random orientation + (the beam is along z). The same seed gives the clusters of cluster_patterns. + Clusters use the minimum image about their centre, so r_cluster is capped + at half the shortest cell length and no atom appears twice. + """ + cell = torch.as_tensor(atoms.cell.lengths()) + pos0 = torch.as_tensor(atoms.get_positions()) + r_max = 0.5 * float(cell.min()) + r_cluster = r_max if r_cluster is None else min(r_cluster, r_max) + gen = torch.Generator().manual_seed(seed) + for _ in range(n_clusters): + # uniform random rotation from a normalized Gaussian quaternion + w, x, y, z = torch.nn.functional.normalize(torch.randn(4, generator=gen, dtype=torch.float64), dim=0) + rot = torch.stack([ + torch.stack([1 - 2 * (y * y + z * z), 2 * (x * y - w * z), 2 * (x * z + w * y)]), + torch.stack([2 * (x * y + w * z), 1 - 2 * (x * x + z * z), 2 * (y * z - w * x)]), + torch.stack([2 * (x * z - w * y), 2 * (y * z + w * x), 1 - 2 * (x * x + y * y)]), + ]) + d = pos0 - torch.rand(3, generator=gen, dtype=torch.float64) * cell + d -= cell * torch.round(d / cell) # minimum image about the centre + keep = torch.linalg.norm(d, dim=1) <= r_cluster + yield (d[keep] @ rot.T).numpy(), atoms.numbers[keep.numpy()] diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 05ff040bf..6f48c46a2 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -41,6 +41,10 @@ def __init__(self, Bl_mats = None, rho: float = 1.0, fq: NDArray | torch.Tensor | float | None = None, + l_max: int = 40, + r_min: float = 0.0, + r_max: float = 20.0, + r_step: float = 0.02, ): super().__init__() @@ -54,11 +58,12 @@ def __init__(self, self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) self.ang_corr_corrected = self.subtract_angular_mean(self.ang_corr) - self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr_corrected) + self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr_corrected, l_max=l_max) # radial q calibration of the polar dataset: bin i sits at q_min + i * dq dq = float(np.asarray(self.polar.sampling)[3]) q_min = float(np.asarray(self.polar.origin)[3]) - self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1], dq=dq, q_min=q_min) + self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1], dq=dq, q_min=q_min, + r_min=r_min, r_max=r_max, r_step=r_step) self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam def rescale_intensity(self, @@ -432,30 +437,51 @@ def plot_g2_g3( return fig, (ax_g3, ax_g2) plt.show() - def simple_plot(self): - """ - Plot the r = r' diagonal of the PADF as a 2D map with - r = r' on the x-axis and theta on the y-axis. - - Uses self.padf, which should be a (Nr, Nr, Ntheta) ndarray - (from reconstruct_PAD()) defined in __init__. - """ - # Take padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) - diag = np.einsum("iik->ik", self.padf) - - # Transpose so rows = theta, columns = r -> (Ntheta, Nr) - diag = diag.T - - fig, ax = plt.subplots(figsize=(7, 5)) - im = ax.pcolormesh(diag, shading="auto") - fig.colorbar(im, ax=ax, label=r"$\Theta(r, r, \theta)$") - - ax.set_xlabel("r = r' index") - ax.set_ylabel(r"$\theta$ index") - ax.set_title("PADF diagonal") - fig.tight_layout() + def simple_plot( + self, + padf=None, + r_display_power: int = 2, + r_max_display: float | None = None, + theta_marks=None, + title: str | None = None, + figsize: tuple[float, float] = (6, 4.5), + returnfig: bool = False, + ): + """ + Plot the r = r' diagonal of the PADF as a 2D map, r on the x-axis and + theta on the y-axis, weighted by r^(2 * r_display_power) for display. + + padf : (Nr, Nr, Ntheta) array or None + Volume on the same (r, theta) grid, e.g. a model g3; defaults to self.padf. + theta_marks : sequence of float or None + Angles (degrees) marked with dotted lines. + Color limits are symmetric, from the largest |value| at 15-165 deg. + """ + vol = self.padf if padf is None else padf + vol = vol.numpy() if isinstance(vol, torch.Tensor) else np.asarray(vol) + r = np.asarray(self.r) + theta_deg = np.asarray(self.theta_deg) + rs = r <= (r.max() if r_max_display is None else r_max_display) - return ax + # padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) + diag = np.einsum("iik->ik", vol)[rs] * (r[rs] ** (2 * r_display_power))[:, None] + interior = (theta_deg > 15) & (theta_deg < 165) + vmax = np.abs(diag[:, interior]).max() + + fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) + im = ax.pcolormesh(r[rs], theta_deg, diag.T, cmap="RdBu_r", vmin=-vmax, vmax=vmax, + shading="auto") + for t in theta_marks or []: + ax.axhline(t, color="k", ls=":", lw=1) + ax.set_xlabel("r = r' (Å)") + ax.set_ylabel(r"$\theta$ (deg)") + ax.set_yticks(np.arange(0, 181, 45)) + fig.colorbar(im, ax=ax, label=rf"$\Theta(r, r, \theta) \cdot r^{{{2 * r_display_power}}}$") + if title is not None: + ax.set_title(title) + if returnfig: + return fig, ax + plt.show() # Band-limit a model g3(r, r', theta) to what a PADF measurement can resolve @@ -487,25 +513,127 @@ def bandlimit_volume( ------- (Nr, Nr, Ntheta) array, the band-limited volume. """ - G = np.asarray(G, dtype=np.float64) + G = torch.as_tensor(np.asarray(G), dtype=torch.float64) + theta = torch.deg2rad(torch.as_tensor(np.asarray(theta_deg), dtype=torch.float64)) + l_values = torch.arange(0, l_max, 2, dtype=torch.float64) + + # Legendre projection over theta with the sin(theta) d(theta) measure + w = torch.abs(torch.sin(theta)) * torch.gradient(theta)[0] + P = torch.special.legendre_polynomial_p(torch.cos(theta)[None, :], l_values[:, None]) # (Nl, Ntheta) + Gl = torch.einsum("ijt,lt->lij", G, P * w[None, :]) * (2 * l_values[:, None, None] + 1) / 2 + + out = torch.zeros_like(G) + for k, l in enumerate(l_values.int().tolist()): + out += _bandlimit_order(Gl[k], l, r, q)[:, :, None] * P[k][None, None, :] + return out.numpy() + + +def _bandlimit_order(Gl: torch.Tensor, l: int, r, q) -> torch.Tensor: + """Order-l spherical Bessel transform of Gl(r, r') to the q points and back.""" r = np.asarray(r, dtype=np.float64) q = np.asarray(q, dtype=np.float64) - theta = np.radians(np.asarray(theta_deg, dtype=np.float64)) - dr, dq = r[1] - r[0], q[1] - q[0] - l_values = np.arange(0, l_max, 2) + jl = torch.from_numpy(spherical_jn(l, 2 * np.pi * np.outer(q, r))) # (Nq, Nr), not in torch + fwd = 4 * np.pi * jl * torch.from_numpy(r**2 * (r[1] - r[0]))[None, :] # r -> q + inv = 4 * np.pi * jl.T * torch.from_numpy(q**2 * (q[1] - q[0]))[None, :] # q -> r + return inv @ (fwd @ Gl @ fwd.T) @ inv.T - # Legendre projection over theta with the sin(theta) d(theta) measure - dtheta = np.gradient(theta) - w = np.abs(np.sin(theta)) * dtheta - P = eval_legendre(l_values[:, None], np.cos(theta)[None, :]) # (Nl, Ntheta) - Gl = np.einsum("ijt,lt->lij", G, P * w[None, :]) * (2 * l_values[:, None, None] + 1) / 2 - - out = np.zeros_like(G) - arg = 2 * np.pi * np.outer(q, r) # (Nq, Nr) - for k, l in enumerate(l_values): - jl = spherical_jn(l, arg) - fwd = 4 * np.pi * jl * (r**2 * dr)[None, :] # r -> q - inv = 4 * np.pi * jl.T * (q**2 * dq)[None, :] # q -> r - Bq = fwd @ Gl[k] @ fwd.T - out += (inv @ Bq @ inv.T)[:, :, None] * P[k][None, None, :] - return out + +def _real_sph_harm_power(cos_t, sin_t, phi, l_values, weights, n_r, index): + """ + sum_m A_lm(r) conj(A_lm(r')) for each l in l_values, where + A_lm(r) = sum_v weights[v] Y_lm(v) binned to r by index (Nvec,) -> [0, n_r]. + Orthonormal associated Legendre functions by the standard stable + recurrence in l at fixed m; m < 0 enters through |A_l,-m| = |A_lm|. + """ + l_max = int(l_values.max()) + C = torch.zeros((len(l_values), n_r, n_r), dtype=torch.float64) + row = {int(l): k for k, l in enumerate(l_values.tolist())} + p_mm = torch.full_like(cos_t, (1 / (4 * np.pi)) ** 0.5) + for m in range(l_max + 1): + if m > 0: + p_mm = -((2 * m + 1) / (2 * m)) ** 0.5 * sin_t * p_mm + e = torch.polar(torch.ones_like(phi), m * phi) * weights + p_prev, p_l = None, p_mm + for l in range(m, l_max + 1): + if l == m + 1: + p_prev, p_l = p_l, (2 * m + 3) ** 0.5 * cos_t * p_l + elif l > m + 1: + a = ((4 * l * l - 1) / (l * l - m * m)) ** 0.5 + b = (((l - 1) ** 2 - m * m) / (4 * (l - 1) ** 2 - 1)) ** 0.5 + p_prev, p_l = p_l, a * (cos_t * p_l - b * p_prev) + if l in row: + A = torch.zeros(n_r + 1, dtype=torch.complex128).index_add_(0, index, p_l * e)[:n_r] + C[row[l]] += (1.0 if m == 0 else 2.0) * torch.real(A.conj()[:, None] * A[None, :]) + return C + + +def padf_from_clusters( + clusters, + r: NDArray, + theta_deg: NDArray, + q: NDArray | None = None, + l_max: int = 40, +) -> NDArray: + """ + PADF of atomic models: the angular correlation of all interatomic vectors + within each cluster, summed over clusters. Like the diffraction PADF it + holds two-, three- and four-body terms (Martin et al. IUCrJ 2017), not + only triplets sharing an atom. + + Uses the addition theorem: for each even l < l_max, + C_l(r, r') = 2 pi sum_m A_lm(r) conj(A_lm(r')), + A_lm(r) = sum over vectors at |d| = r of Y_lm(d / |d|), per unit volume, + then Theta = |sin theta| sum_{l >= 2} C_l(r, r') P_l(cos theta), matching + reconstruct_PADF (l = 0 is dropped, as the PADF's mean subtraction does). + + Parameters + ---------- + clusters : iterable of (N, 3) arrays + Atom positions (Angstroms), one array per cluster. + r : (Nr,) array + Uniform radial grid (Angstroms); vectors are binned with linear weights. + theta_deg : (Ntheta,) array + Angles in degrees. + q : (Nq,) array or None + Measured q values (1/Angstroms, no 2 pi). If given, each C_l is + band-limited to them, as bandlimit_volume does. + l_max : int + Even orders l = 0, 2, ..., < l_max. + + Returns + ------- + (Nr, Nr, Ntheta) array. + """ + r_t = torch.as_tensor(np.asarray(r), dtype=torch.float64) + dr = float(r_t[1] - r_t[0]) + n_r = r_t.numel() + l_values = torch.arange(0, l_max, 2) + shell = 4 * np.pi * torch.clamp(r_t, min=0.5 * dr) ** 2 * dr + Cl = torch.zeros((len(l_values), n_r, n_r), dtype=torch.float64) + for pos in clusters: + pos = torch.as_tensor(np.asarray(pos), dtype=torch.float64) + d = (pos[None, :, :] - pos[:, None, :]).reshape(-1, 3) + dist = torch.linalg.norm(d, dim=1) + keep = (dist > 0) & (dist < float(r_t[-1])) + d, dist = d[keep], dist[keep] + cos_t = torch.clamp(d[:, 2] / dist, -1, 1) + sin_t = torch.sqrt(1 - cos_t**2) + phi = torch.atan2(d[:, 1], d[:, 0]) + # linear binning onto the r grid: each vector split between bins i0 and i0 + 1 + x = (dist - float(r_t[0])) / dr + i0 = torch.floor(x).long() + f = x - i0 + index = torch.cat([i0, i0 + 1]) + weights = torch.cat([1 - f, f]) / torch.cat([shell, shell[-1:]])[index] # per unit volume + cos_t, sin_t, phi = (torch.cat([t, t]) for t in (cos_t, sin_t, phi)) + Cl += _real_sph_harm_power(cos_t, sin_t, phi, l_values, weights, n_r, index) + Cl *= 2 * np.pi + + theta = torch.deg2rad(torch.as_tensor(np.asarray(theta_deg), dtype=torch.float64)) + out = torch.zeros((n_r, n_r, theta.numel()), dtype=torch.float64) + for k, l in enumerate(l_values.tolist()): + if l == 0: + continue + C = Cl[k] if q is None else _bandlimit_order(Cl[k], l, r, q) + out += C[:, :, None] * torch.special.legendre_polynomial_p(torch.cos(theta), l)[None, None, :] + return (out * torch.abs(torch.sin(theta))[None, None, :]).numpy() diff --git a/src/quantem/diffraction/padf2d.py b/src/quantem/diffraction/padf2d.py index 838d2db8b..167492b4f 100644 --- a/src/quantem/diffraction/padf2d.py +++ b/src/quantem/diffraction/padf2d.py @@ -155,7 +155,7 @@ def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, theta_max: float = 360.0, r_display_power: int = 1, title: str | None = None, figsize: tuple[float, float] = (5.4, 3.6), - returnfig: bool = False): + returnfig: bool = False, padf=None): """ Map of the r = r' diagonal vs relative angle, weighted by r^r_display_power (r^1 by default), zero-centered RdBu_r. @@ -163,9 +163,14 @@ def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, Friedel-symmetric data); 360 shows the full relative angle available when odd harmonics are present. Color limits are set from interior angles and r <= 0.92 * r_max_display, so edge - artifacts do not compress the scale. + artifacts do not compress the scale. padf: an (Nr, Nr, Ntheta) + volume on this r grid and angles 360 k / Ntheta (e.g. a model from + padf2d_from_clusters) to plot instead of this reconstruction. """ - theta_deg, padf = self.reconstruct(n_theta=n_theta) + if padf is None: + theta_deg, padf = self.reconstruct(n_theta=n_theta) + else: + theta_deg = 360.0 * np.arange(padf.shape[2]) / padf.shape[2] r = self.r rs = r <= r_max_display ts = theta_deg <= theta_max + 1e-9 @@ -187,3 +192,65 @@ def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, if returnfig: return fig, ax plt.show() + + +def padf2d_from_clusters(clusters_xy, r, n_max: int = 60, n_theta: int = 360, + q=None, q_taper: float = 0.25): + """ + 2D PADF of atomic models: the angular correlation of all in-plane + interatomic vectors within each cluster (two-, three- and four-body + terms), summed over clusters, on the angle grid of + PairAngleDistributionFunction2D.reconstruct. + + A_n(r) = sum over vectors at |d| = r of exp(-i n phi), per unit area + C_n(r, r') = conj(A_n(r)) A_n(r') + + q : (Nq,) array or None + Measured q values. If given, each C_n is band-limited to them with + the same q_taper as the class (order-n Hankel transform and back). + + Returns + ------- + theta_deg : (n_theta,) angles in degrees. + padf : (Nr, Nr, n_theta) real array, n = 0 excluded. + """ + r = np.asarray(r, dtype=np.float64) + dr = r[1] - r[0] + n_r = r.size + ring = torch.from_numpy(2 * np.pi * np.maximum(r, 0.5 * dr) * dr) + n_vals = torch.arange(1, n_max + 1, dtype=torch.float64) + Cn = torch.zeros((n_max, n_r, n_r), dtype=torch.complex128) + for xy in clusters_xy: + xy = torch.as_tensor(np.asarray(xy)[:, :2], dtype=torch.float64) + d = (xy[None, :, :] - xy[:, None, :]).reshape(-1, 2) + dist = torch.hypot(d[:, 0], d[:, 1]) + keep = (dist > 0) & (dist < r[-1]) + d, dist = d[keep], dist[keep] + phi = torch.atan2(d[:, 1], d[:, 0]) + # linear binning onto the r grid + x = (dist - r[0]) / dr + i0 = torch.floor(x).long() + f = (x - i0)[:, None] + E = torch.polar(torch.ones(phi.numel(), n_max, dtype=torch.float64), -phi[:, None] * n_vals[None, :]) + A = torch.zeros((n_r + 1, n_max), dtype=torch.complex128) + A.index_add_(0, i0, (1 - f) * E).index_add_(0, i0 + 1, f * E) + A = A[:n_r] / ring[:, None] + Cn += torch.einsum("in,jn->nij", A.conj(), A) + + if q is not None: + q = np.asarray(q, dtype=np.float64) + dq, n_q = q[1] - q[0], q.size + taper = np.ones(n_q) + i0 = int((1.0 - q_taper) * n_q) + taper[i0:] = 0.5 * (1 + np.cos(np.pi * np.arange(n_q - i0) / max(n_q - i0, 1))) + for k in range(n_max): + Jn = torch.from_numpy(jv(k + 1, 2 * np.pi * np.outer(q, r))) # (Nq, Nr), not in torch + fwd = (2 * np.pi * Jn * torch.from_numpy(r * dr)[None, :] + * torch.from_numpy(taper)[:, None]).to(torch.complex128) # r -> q, tapered + inv = (2 * np.pi * Jn.T * torch.from_numpy(q * dq)[None, :]).to(torch.complex128) # q -> r + Cn[k] = inv @ (fwd @ Cn[k] @ fwd.T) @ inv.T + + theta = 2.0 * np.pi * torch.arange(n_theta, dtype=torch.float64) / n_theta + E = torch.polar(torch.ones(n_max, n_theta, dtype=torch.float64), n_vals[:, None] * theta[None, :]) + padf = 2.0 * torch.real(torch.einsum("nij,nt->ijt", Cn, E)) + return np.degrees(theta.numpy()), padf.numpy() From 40837205a592b88fb6b834a02b2cd5501c5fdf6d Mon Sep 17 00:00:00 2001 From: Colin Ophus Date: Sat, 24 Oct 2026 16:39:20 -0700 Subject: [PATCH 39/45] padf: rescale_intensity and compute_avg_angular_correlation as staticmethods for batched correlation Co-Authored-By: Claude Opus 5.5 --- src/quantem/diffraction/padf.py | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 6f48c46a2..9a225bf46 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -66,8 +66,8 @@ def __init__(self, r_min=r_min, r_max=r_max, r_step=r_step) self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam - def rescale_intensity(self, - data: Polar4dstem | Dataset4dstem | None = None, + @staticmethod + def rescale_intensity(data: Polar4dstem | Dataset4dstem | None = None, rho: float | int = 1.0, fq: NDArray | torch.Tensor | float | int | None = None): """ @@ -115,7 +115,8 @@ def fit_phi_0(self): pass - def compute_avg_angular_correlation(self, data): + @staticmethod + def compute_avg_angular_correlation(data): """ Equation 8: angular cross correlation implemented via Fourier correlation theorem """ From be6e2acdfa40f0df3b17c4ffab3332830a12c7cc Mon Sep 17 00:00:00 2001 From: Colin Ophus Date: Sat, 24 Oct 2026 17:33:08 -0700 Subject: [PATCH 40/45] PADF: median subtraction, order tapers, side-by-side plots - subtract_angular_median, used by PairAngleDistributionFunction - l_taper / n_taper (cos^2 over the harmonic orders) in the data reconstructions and in padf_from_clusters / padf2d_from_clusters, to suppress ringing from truncating at l_max / n_max - simple_plot: several volumes side by side, fixed-r slices, r marks, color limits from the displayed r range; plot_angular_correlation - plot_diagonal: several volumes side by side - random_clusters / cluster_patterns: random_orientation=False keeps the cell axes (zone-axis patterns) Co-Authored-By: Claude Opus 5.5 --- src/quantem/diffraction/lattices.py | 13 +-- src/quantem/diffraction/padf.py | 130 +++++++++++++++++++++------- src/quantem/diffraction/padf2d.py | 60 ++++++++----- 3 files changed, 143 insertions(+), 60 deletions(-) diff --git a/src/quantem/diffraction/lattices.py b/src/quantem/diffraction/lattices.py index be2f590c7..eb4b1e588 100644 --- a/src/quantem/diffraction/lattices.py +++ b/src/quantem/diffraction/lattices.py @@ -460,7 +460,7 @@ def make_images( def cluster_patterns(atoms, n_patterns, n_px=256, q_max=2.5, r_cluster=None, - voltage=200e3, seed=0): + voltage=200e3, seed=0, random_orientation=True): """ Kinematic diffraction patterns of spherical clusters cut from a periodic structure, each with a random centre and a random 3D orientation @@ -494,7 +494,7 @@ def cluster_patterns(atoms, n_patterns, n_px=256, q_max=2.5, r_cluster=None, } patterns = torch.empty((n_patterns, n_px, n_px), dtype=torch.float32) - for k, (pos, z_atoms) in enumerate(random_clusters(atoms, n_patterns, r_cluster, seed)): + for k, (pos, z_atoms) in enumerate(random_clusters(atoms, n_patterns, r_cluster, seed, random_orientation)): xy = torch.as_tensor(pos[:, :2] / pix + n_big / 2) psi = 0 for z in species: @@ -511,11 +511,13 @@ def cluster_patterns(atoms, n_patterns, n_px=256, q_max=2.5, r_cluster=None, return patterns.numpy(), dq -def random_clusters(atoms, n_clusters, r_cluster=None, seed=0): +def random_clusters(atoms, n_clusters, r_cluster=None, seed=0, random_orientation=True): """ Yield (positions, atomic numbers) of spherical clusters cut from a periodic structure, each with a random centre and rotated to a random orientation - (the beam is along z). The same seed gives the clusters of cluster_patterns. + (the beam is along z). With random_orientation=False the cell axes are + kept, so the beam is along the cell's z axis. The same seed gives the + clusters of cluster_patterns. Clusters use the minimum image about their centre, so r_cluster is capped at half the shortest cell length and no atom appears twice. """ @@ -535,4 +537,5 @@ def random_clusters(atoms, n_clusters, r_cluster=None, seed=0): d = pos0 - torch.rand(3, generator=gen, dtype=torch.float64) * cell d -= cell * torch.round(d / cell) # minimum image about the centre keep = torch.linalg.norm(d, dim=1) <= r_cluster - yield (d[keep] @ rot.T).numpy(), atoms.numbers[keep.numpy()] + pos = d[keep] @ rot.T if random_orientation else d[keep] + yield pos.numpy(), atoms.numbers[keep.numpy()] diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 9a225bf46..c38d05d51 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -45,6 +45,7 @@ def __init__(self, r_min: float = 0.0, r_max: float = 20.0, r_step: float = 0.02, + l_taper: bool = False, ): super().__init__() @@ -57,14 +58,14 @@ def __init__(self, self.polar_rescaled = self.rescale_intensity(self.polar, rho=rho, fq=fq) self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) - self.ang_corr_corrected = self.subtract_angular_mean(self.ang_corr) + self.ang_corr_corrected = self.subtract_angular_median(self.ang_corr) self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr_corrected, l_max=l_max) # radial q calibration of the polar dataset: bin i sits at q_min + i * dq dq = float(np.asarray(self.polar.sampling)[3]) q_min = float(np.asarray(self.polar.origin)[3]) self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1], dq=dq, q_min=q_min, r_min=r_min, r_max=r_max, r_step=r_step) - self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20) # TODO: determine atoms in beam + self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20, l_taper=l_taper) # TODO: determine atoms in beam @staticmethod def rescale_intensity(data: Polar4dstem | Dataset4dstem | None = None, @@ -147,6 +148,16 @@ def subtract_angular_mean(self, C_avg: torch.Tensor): """ return C_avg - C_avg.mean(dim=0, keepdim=True) + @staticmethod + def subtract_angular_median(C_avg: torch.Tensor): + """ + Subtract the theta-median from each (q, q') ring of the angular + correlation. Unlike the mean, the median is not pulled up by the + self-correlation peak at theta = 0. The offset only changes B_0, so + the PADF (l >= 2) is the same as with subtract_angular_mean. + """ + return C_avg - C_avg.median(dim=0, keepdim=True).values + def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05, sin_weight=True, theta_exclude=0.0): """ @@ -240,7 +251,7 @@ def transform_to_real_space(self, Bl_mats, l_values, dq=0.01, q_min=0.0, return real_Bl - def reconstruct_PADF(self, real_Bl, l_values, Na, per_theta=True): + def reconstruct_PADF(self, real_Bl, l_values, Na, per_theta=True, l_taper=False): """ Reconstruct the pair-angle distribution function from B_l(r, r') For each theta: @@ -254,8 +265,13 @@ def reconstruct_PADF(self, real_Bl, l_values, Na, per_theta=True): The Legendre sum is the real-space correlation C(r, r', cos theta) (pypadf paper eq. 10). If True, multiply by |sin theta| to return a quantity proportional to Theta(r, r', theta) (pypadf paper eq. 11). + l_taper : bool + Weight each order by order_taper(l, l_max), which suppresses the + ringing in theta from truncating the Legendre sum at l_max. """ padf = torch.zeros((real_Bl.shape[1], real_Bl.shape[2], 180), dtype=torch.float64) + l_values = np.asarray(l_values).astype(int) + weights = order_taper(l_values, l_values[-1] + 2) if l_taper else np.ones(len(l_values)) theta = np.linspace(0, np.pi, 180) self.theta = theta self.theta_deg = np.degrees(theta) @@ -267,7 +283,7 @@ def reconstruct_PADF(self, real_Bl, l_values, Na, per_theta=True): coeffs = np.zeros(chosen_l_values[-1] + 1) coeffs[chosen_l_values[l]] = 1 Pl = torch.tensor(legval(cos_theta, coeffs)) - Bl = real_Bl[l + 1] # skipping l = 0 + Bl = real_Bl[l + 1] * weights[l + 1] # skipping l = 0 padf += Bl[:, :, np.newaxis] * Pl[np.newaxis, np.newaxis, :] padf *= 2 * torch.pi * Na @@ -441,45 +457,87 @@ def plot_g2_g3( def simple_plot( self, padf=None, - r_display_power: int = 2, + r_display_power: int = 1, r_max_display: float | None = None, + r_fixed: float | None = None, theta_marks=None, - title: str | None = None, - figsize: tuple[float, float] = (6, 4.5), + r_marks=None, + title=None, + axsize: tuple[float, float] = (4.5, 3.5), returnfig: bool = False, ): """ - Plot the r = r' diagonal of the PADF as a 2D map, r on the x-axis and - theta on the y-axis, weighted by r^(2 * r_display_power) for display. - - padf : (Nr, Nr, Ntheta) array or None - Volume on the same (r, theta) grid, e.g. a model g3; defaults to self.padf. - theta_marks : sequence of float or None - Angles (degrees) marked with dotted lines. - Color limits are symmetric, from the largest |value| at 15-165 deg. + Map of the PADF against theta (y-axis) and r (x-axis): the r = r' + diagonal Theta(r, r, theta), or Theta(r_fixed, r', theta) when r_fixed + is given. The display is weighted by r^(2 * r_display_power), or by + (r_fixed r')^r_display_power for a fixed-r slice. + + padf : (Nr, Nr, Ntheta) array, or a list of them, or None + Volumes on the same (r, theta) grid, e.g. a model PADF, drawn in + separate panels; defaults to self.padf. + theta_marks, r_marks : sequence of float or None + Angles (degrees) and radii (Angstroms) marked with dotted lines. + Each panel has symmetric color limits from its largest |value| at + 15-165 deg and r <= r_max_display. """ - vol = self.padf if padf is None else padf - vol = vol.numpy() if isinstance(vol, torch.Tensor) else np.asarray(vol) + vols = [self.padf] if padf is None else (list(padf) if isinstance(padf, (list, tuple)) else [padf]) + titles = title if isinstance(title, (list, tuple)) else [title] * len(vols) r = np.asarray(self.r) theta_deg = np.asarray(self.theta_deg) rs = r <= (r.max() if r_max_display is None else r_max_display) - - # padf[i, i, k] for every distance i and angle k -> (Nr, Ntheta) - diag = np.einsum("iik->ik", vol)[rs] * (r[rs] ** (2 * r_display_power))[:, None] interior = (theta_deg > 15) & (theta_deg < 165) - vmax = np.abs(diag[:, interior]).max() + fig, axs = plt.subplots(1, len(vols), figsize=(axsize[0] * len(vols), axsize[1]), + squeeze=False, constrained_layout=True) + for ax, vol, t in zip(axs[0], vols, titles): + vol = vol.numpy() if isinstance(vol, torch.Tensor) else np.asarray(vol) + if r_fixed is None: + m = np.einsum("iik->ik", vol)[rs] * (r[rs] ** (2 * r_display_power))[:, None] + xlabel, label = "r = r' (Å)", rf"$\Theta(r, r, \theta) \cdot r^{{{2 * r_display_power}}}$" + else: + i0 = int(np.argmin(np.abs(r - r_fixed))) + m = vol[i0][rs] * ((r[i0] * r[rs]) ** r_display_power)[:, None] + xlabel, label = f"r' (Å), r = {r[i0]:.2f} Å", rf"$\Theta(r, r', \theta) \cdot (r r')^{{{r_display_power}}}$" + vmax = np.abs(m[:, interior]).max() + im = ax.pcolormesh(r[rs], theta_deg, m.T, cmap="RdBu_r", vmin=-vmax, vmax=vmax, + shading="auto") + for th in theta_marks or []: + ax.axhline(th, color="k", ls=":", lw=1) + for rm in r_marks or []: + ax.axvline(rm, color="k", ls=":", lw=1) + ax.set_xlabel(xlabel) + ax.set_ylabel(r"$\theta$ (deg)") + ax.set_yticks(np.arange(0, 181, 45)) + fig.colorbar(im, ax=ax, label=label) + if t is not None: + ax.set_title(t) + if returnfig: + return fig, axs[0] + plt.show() + + def plot_angular_correlation( + self, + q: float, + figsize: tuple[float, float] = (5, 3.5), + returnfig: bool = False, + ): + """ + Median-subtracted angular correlation C(dphi, q, q') at the radial bin + nearest q (1/Angstroms), against q' (x-axis) and dphi (y-axis). + """ + C = self.ang_corr_corrected.numpy() + q_axis = float(np.asarray(self.polar.origin)[3]) + np.arange(C.shape[1]) * float(np.asarray(self.polar.sampling)[3]) + iq = int(np.argmin(np.abs(q_axis - q))) + dphi = np.arange(C.shape[0]) * 360.0 / C.shape[0] + M = C[:, iq, :] + vmax = np.quantile(np.abs(M), 0.995) fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) - im = ax.pcolormesh(r[rs], theta_deg, diag.T, cmap="RdBu_r", vmin=-vmax, vmax=vmax, - shading="auto") - for t in theta_marks or []: - ax.axhline(t, color="k", ls=":", lw=1) - ax.set_xlabel("r = r' (Å)") - ax.set_ylabel(r"$\theta$ (deg)") - ax.set_yticks(np.arange(0, 181, 45)) - fig.colorbar(im, ax=ax, label=rf"$\Theta(r, r, \theta) \cdot r^{{{2 * r_display_power}}}$") - if title is not None: - ax.set_title(title) + im = ax.pcolormesh(q_axis, dphi, M, cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto") + ax.set_xlabel("q' (1/Å)") + ax.set_ylabel(r"$\Delta\phi$ (deg)") + ax.set_yticks(np.arange(0, 361, 90)) + ax.set_title(f"q = {q_axis[iq]:.3f} 1/Å") + fig.colorbar(im, ax=ax, label=r"$C(\Delta\phi, q, q')$") if returnfig: return fig, ax plt.show() @@ -529,6 +587,11 @@ def bandlimit_volume( return out.numpy() +def order_taper(orders, order_max): + """cos^2 taper of harmonic orders, 1 at order 0 and 0 at order_max.""" + return np.cos(0.5 * np.pi * np.asarray(orders, dtype=np.float64) / order_max) ** 2 + + def _bandlimit_order(Gl: torch.Tensor, l: int, r, q) -> torch.Tensor: """Order-l spherical Bessel transform of Gl(r, r') to the q points and back.""" r = np.asarray(r, dtype=np.float64) @@ -574,6 +637,7 @@ def padf_from_clusters( theta_deg: NDArray, q: NDArray | None = None, l_max: int = 40, + l_taper: bool = False, ) -> NDArray: """ PADF of atomic models: the angular correlation of all interatomic vectors @@ -600,6 +664,8 @@ def padf_from_clusters( band-limited to them, as bandlimit_volume does. l_max : int Even orders l = 0, 2, ..., < l_max. + l_taper : bool + Weight each order by order_taper(l, l_max), as reconstruct_PADF does. Returns ------- @@ -636,5 +702,7 @@ def padf_from_clusters( if l == 0: continue C = Cl[k] if q is None else _bandlimit_order(Cl[k], l, r, q) + if l_taper: + C = C * float(order_taper(l, l_max)) out += C[:, :, None] * torch.special.legendre_polynomial_p(torch.cos(theta), l)[None, None, :] return (out * torch.abs(torch.sin(theta))[None, None, :]).numpy() diff --git a/src/quantem/diffraction/padf2d.py b/src/quantem/diffraction/padf2d.py index 167492b4f..b9ee468b9 100644 --- a/src/quantem/diffraction/padf2d.py +++ b/src/quantem/diffraction/padf2d.py @@ -34,6 +34,8 @@ import torch from scipy.special import jv +from quantem.diffraction.padf import order_taper + class PairAngleDistributionFunction2D: """ @@ -127,13 +129,15 @@ def __init__(self, polar, n_max: int = 60, dq: float | None = None, K = jv(n, arg) * w[None, :] self.Cn_r[n] = K @ self.Cn_q[n] @ K.T - def reconstruct(self, n_theta: int = 360, include_n0: bool = False): + def reconstruct(self, n_theta: int = 360, include_n0: bool = False, n_taper: bool = False): """ Reconstruct Theta(r, r', dtheta) on n_theta angles over [0, 360). include_n0 : keep the isotropic n = 0 term (a dtheta-independent offset containing the uncorrelated background); excluded by default, matching the 3D pipeline's l = 0 handling. + n_taper : weight each harmonic by order_taper(n, n_max + 1), which + suppresses the ringing in dtheta from truncating the sum at n_max. Returns ------- @@ -143,8 +147,9 @@ def reconstruct(self, n_theta: int = 360, include_n0: bool = False): theta = 2.0 * np.pi * np.arange(n_theta) / n_theta n0 = 0 if include_n0 else 1 n_vals = np.arange(n0, self.n_max + 1) + w = order_taper(n_vals, self.n_max + 1) if n_taper else np.ones(n_vals.size) # Hermitian sum: C_{-n} = conj(C_n) -> 2 Re for n > 0 - E = np.exp(1j * np.outer(n_vals, theta)) # (Nn, n_theta) + E = np.exp(1j * np.outer(n_vals, theta)) * w[:, None] # (Nn, n_theta) padf = 2.0 * np.real(np.einsum("nij,nt->ijt", self.Cn_r[n0:], E)) if include_n0: padf -= np.real(self.Cn_r[0])[:, :, None] # counted twice above @@ -153,9 +158,8 @@ def reconstruct(self, n_theta: int = 360, include_n0: bool = False): def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, theta_max: float = 360.0, r_display_power: int = 1, - title: str | None = None, - figsize: tuple[float, float] = (5.4, 3.6), - returnfig: bool = False, padf=None): + title=None, axsize: tuple[float, float] = (5.4, 3.6), + returnfig: bool = False, padf=None, n_taper: bool = False): """ Map of the r = r' diagonal vs relative angle, weighted by r^r_display_power (r^1 by default), zero-centered RdBu_r. @@ -165,37 +169,41 @@ def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, from interior angles and r <= 0.92 * r_max_display, so edge artifacts do not compress the scale. padf: an (Nr, Nr, Ntheta) volume on this r grid and angles 360 k / Ntheta (e.g. a model from - padf2d_from_clusters) to plot instead of this reconstruction. + padf2d_from_clusters), or a list of them drawn in separate panels, + to plot instead of this reconstruction. """ if padf is None: - theta_deg, padf = self.reconstruct(n_theta=n_theta) + vols = [self.reconstruct(n_theta=n_theta, n_taper=n_taper)[1]] else: - theta_deg = 360.0 * np.arange(padf.shape[2]) / padf.shape[2] + vols = list(padf) if isinstance(padf, (list, tuple)) else [padf] + titles = title if isinstance(title, (list, tuple)) else [title] * len(vols) r = self.r rs = r <= r_max_display - ts = theta_deg <= theta_max + 1e-9 - diag = np.einsum("iik->ik", padf)[rs][:, ts] - disp = (diag * (r[rs] ** r_display_power)[:, None]).T - interior = (theta_deg[ts] % 180 > 15) & (theta_deg[ts] % 180 < 165) r_inner = r[rs] <= 0.92 * r_max_display - vmax = np.quantile(np.abs(disp[np.ix_(interior, r_inner)]), 0.999) - fig, ax = plt.subplots(figsize=figsize, constrained_layout=True) - im = ax.pcolormesh(r[rs], theta_deg[ts], disp, cmap="RdBu_r", - vmin=-vmax, vmax=vmax, shading="auto") - ax.set_xlabel("r = r' (Å)") - ax.set_ylabel("$\\Delta\\theta$ (deg)") - ax.set_yticks(np.arange(0, theta_max + 1, 45)) - fig.colorbar(im, ax=ax, label=f"$\\Theta_{{2D}} \\cdot r^{{{r_display_power}}}$") - if title is not None: - ax.set_title(title, fontsize=10) + fig, axs = plt.subplots(1, len(vols), figsize=(axsize[0] * len(vols), axsize[1]), + squeeze=False, constrained_layout=True) + for ax, vol, t in zip(axs[0], vols, titles): + theta_deg = 360.0 * np.arange(vol.shape[2]) / vol.shape[2] + ts = theta_deg <= theta_max + 1e-9 + disp = (np.einsum("iik->ik", vol)[rs][:, ts] * (r[rs] ** r_display_power)[:, None]).T + interior = (theta_deg[ts] % 180 > 15) & (theta_deg[ts] % 180 < 165) + vmax = np.quantile(np.abs(disp[np.ix_(interior, r_inner)]), 0.999) + im = ax.pcolormesh(r[rs], theta_deg[ts], disp, cmap="RdBu_r", + vmin=-vmax, vmax=vmax, shading="auto") + ax.set_xlabel("r = r' (Å)") + ax.set_ylabel("$\\Delta\\theta$ (deg)") + ax.set_yticks(np.arange(0, theta_max + 1, 45)) + fig.colorbar(im, ax=ax, label=f"$\\Theta_{{2D}} \\cdot r^{{{r_display_power}}}$") + if t is not None: + ax.set_title(t, fontsize=10) if returnfig: - return fig, ax + return fig, axs[0] plt.show() def padf2d_from_clusters(clusters_xy, r, n_max: int = 60, n_theta: int = 360, - q=None, q_taper: float = 0.25): + q=None, q_taper: float = 0.25, n_taper: bool = False): """ 2D PADF of atomic models: the angular correlation of all in-plane interatomic vectors within each cluster (two-, three- and four-body @@ -208,6 +216,8 @@ def padf2d_from_clusters(clusters_xy, r, n_max: int = 60, n_theta: int = 360, q : (Nq,) array or None Measured q values. If given, each C_n is band-limited to them with the same q_taper as the class (order-n Hankel transform and back). + n_taper : bool + Weight each harmonic by order_taper(n, n_max + 1), as reconstruct does. Returns ------- @@ -252,5 +262,7 @@ def padf2d_from_clusters(clusters_xy, r, n_max: int = 60, n_theta: int = 360, theta = 2.0 * np.pi * torch.arange(n_theta, dtype=torch.float64) / n_theta E = torch.polar(torch.ones(n_max, n_theta, dtype=torch.float64), n_vals[:, None] * theta[None, :]) + if n_taper: + E = E * torch.from_numpy(order_taper(n_vals.numpy(), n_max + 1))[:, None] padf = 2.0 * torch.real(torch.einsum("nij,nt->ijt", Cn, E)) return np.degrees(theta.numpy()), padf.numpy() From aafb33dfacd995f6b6d787f09995fff478b5b7ba Mon Sep 17 00:00:00 2001 From: Colin Ophus Date: Sun, 25 Oct 2026 06:20:41 -0700 Subject: [PATCH 41/45] cluster_patterns: Gaussian splat rendering and real-space blur Render atoms as sampled Gaussians and divide the Gaussian out; patterns match a direct structure-factor sum to 6e-5. blur_px applies a real-space Gaussian blur for partial coherence (a Fourier-space blur truncated at Nyquist rang along the axes next to the central beam). Co-Authored-By: Claude Opus 5.5 --- src/quantem/diffraction/lattices.py | 47 ++++++++++++++++++++--------- 1 file changed, 32 insertions(+), 15 deletions(-) diff --git a/src/quantem/diffraction/lattices.py b/src/quantem/diffraction/lattices.py index eb4b1e588..bfddddeb9 100644 --- a/src/quantem/diffraction/lattices.py +++ b/src/quantem/diffraction/lattices.py @@ -460,16 +460,19 @@ def make_images( def cluster_patterns(atoms, n_patterns, n_px=256, q_max=2.5, r_cluster=None, - voltage=200e3, seed=0, random_orientation=True): + voltage=200e3, seed=0, random_orientation=True, blur_px=0.0): """ Kinematic diffraction patterns of spherical clusters cut from a periodic structure, each with a random centre and a random 3D orientation (random_clusters, same seed). - Projected atoms are deposited bilinearly on a grid at 2x Nyquist, Fourier - transformed and cropped to q_max. The bilinear kernel is divided out and - replaced by the Weickenmeier-Kohl electron scattering factor of each - element, so patterns follow f(q). + Projected atoms are rendered as sampled Gaussians (sigma 1.5 px, which is + band-limited well inside Nyquist, so crystal reflections do not alias) on + a grid at 2x Nyquist, Fourier transformed and cropped to q_max. The + Gaussian is divided out and replaced by the Weickenmeier-Kohl electron + scattering factor of each element, so patterns follow f(q). blur_px is the sigma (pixels) of a + Gaussian blur of each intensity pattern, which approximates the partial + coherence of the illumination. Returns ------- @@ -484,30 +487,44 @@ def cluster_patterns(atoms, n_patterns, n_px=256, q_max=2.5, r_cluster=None, qx = (torch.arange(n_big, dtype=torch.float64) - n_big // 2) * dq QX, QY = torch.meshgrid(qx, qx, indexing="ij") Q = torch.hypot(QX, QY) - bilinear = torch.sinc(QX * pix) ** 2 * torch.sinc(QY * pix) ** 2 + sigma, half = 1.5, 6 # Gaussian atom width and patch half-width (px) + gaussian = torch.exp(-2 * np.pi**2 * (sigma * pix) ** 2 * Q**2) crop = slice(n_big // 2 - n_px // 2, n_big // 2 + n_px // 2) species = np.unique(atoms.numbers) filters = { z: (torch.from_numpy(compute_WK_factor(Q.numpy().ravel(), int(z), voltage, include_core=False, - include_phonon=False).real).reshape(Q.shape) / bilinear)[crop, crop] + include_phonon=False).real).reshape(Q.shape) / gaussian)[crop, crop] for z in species } + offsets = torch.arange(-half, half + 1) + n_pad = n_big + 2 * half + 2 + if blur_px > 0: # real-space Gaussian kernel, positive, so no ringing from the bright central beam + x = torch.arange(-int(np.ceil(4 * blur_px)), int(np.ceil(4 * blur_px)) + 1, dtype=torch.float64) + kernel = torch.exp(-(x**2) / (2 * blur_px**2)) + kernel = (kernel / kernel.sum())[None, None, :] patterns = torch.empty((n_patterns, n_px, n_px), dtype=torch.float32) for k, (pos, z_atoms) in enumerate(random_clusters(atoms, n_patterns, r_cluster, seed, random_orientation)): xy = torch.as_tensor(pos[:, :2] / pix + n_big / 2) psi = 0 for z in species: p = xy[torch.as_tensor(z_atoms == z)] - i0 = torch.floor(p).long() - f = p - i0 - im = torch.zeros((n_big + 1) * (n_big + 1), dtype=torch.float64) - for di, dj, w in [(0, 0, (1 - f[:, 0]) * (1 - f[:, 1])), (0, 1, (1 - f[:, 0]) * f[:, 1]), - (1, 0, f[:, 0] * (1 - f[:, 1])), (1, 1, f[:, 0] * f[:, 1])]: - im.index_add_(0, (i0[:, 0] + di) * (n_big + 1) + i0[:, 1] + dj, w) - im = im.reshape(n_big + 1, n_big + 1)[:n_big, :n_big] + i0 = torch.round(p).long() + rows = i0[:, 0, None] + offsets[None, :] # (Natoms, patch) + cols = i0[:, 1, None] + offsets[None, :] + wr = torch.exp(-((rows - p[:, 0, None]) ** 2) / (2 * sigma**2)) + wc = torch.exp(-((cols - p[:, 1, None]) ** 2) / (2 * sigma**2)) + w = (wr[:, :, None] * wc[:, None, :]).reshape(-1) / (2 * np.pi * sigma**2) + idx = ((rows[:, :, None] + half + 1) * n_pad + cols[:, None, :] + half + 1).reshape(-1) + im = torch.zeros(n_pad * n_pad, dtype=torch.float64).index_add_(0, idx, w) + im = im.reshape(n_pad, n_pad)[half + 1:half + 1 + n_big, half + 1:half + 1 + n_big] psi = psi + torch.fft.fftshift(torch.fft.fft2(im))[crop, crop] * filters[z] - patterns[k] = torch.abs(psi) ** 2 + intensity = torch.abs(psi) ** 2 + if blur_px > 0: + pad = kernel.shape[-1] // 2 + intensity = torch.nn.functional.conv1d(intensity[:, None, :], kernel, padding=pad)[:, 0, :] + intensity = torch.nn.functional.conv1d(intensity.T[:, None, :], kernel, padding=pad)[:, 0, :].T + patterns[k] = intensity return patterns.numpy(), dq From 8f9aafcac42de07b3cc26be216d0392377c66eb9 Mon Sep 17 00:00:00 2001 From: Colin Ophus Date: Sun, 25 Oct 2026 06:38:01 -0700 Subject: [PATCH 42/45] PairDistributionFunction: power-law and known-scattering-factor backgrounds - bg_model='power': c + sum_i a_i (1 + k^2/s_i^2)^(-p_i), 1 or 2 terms, all parameters positive so f(k) = B - c is positive and monotonic - bg_model='known': N ^2 + c from tabulated scattering factors (the standard ePDF normalization), N, c >= 0 by weighted least squares - bg_weight='k' or 'k/I' (error in F(k)) besides the py4DSTEM weighting - windowed_model_pdf: model g(r) through the same k window, for comparison Co-Authored-By: Claude Opus 5.5 --- src/quantem/diffraction/polar.py | 170 ++++++++++++++++++++++++++++++- tests/diffraction/test_polar.py | 2 +- 2 files changed, 168 insertions(+), 4 deletions(-) diff --git a/src/quantem/diffraction/polar.py b/src/quantem/diffraction/polar.py index c600f7a65..d13ebe96e 100644 --- a/src/quantem/diffraction/polar.py +++ b/src/quantem/diffraction/polar.py @@ -430,6 +430,10 @@ def fit_bg( Ik: torch.Tensor, kmin: float | None = None, kmax: float | None = None, + bg_model: str = "gaussian", + num_power_laws: int = 2, + fk: NDArray | None = None, + bg_weight: str = "default", ) -> tuple[torch.Tensor, torch.Tensor]: """ Fit a smooth background B(k) to a radial intensity curve I(k). @@ -460,6 +464,8 @@ def fit_bg( Restrict the fit to k in [kmin, kmax]. The returned B(k) is still evaluated over the full k axis. If None, the full k range is used. + bg_model, num_power_laws, fk, bg_weight + Background model and fit weighting, see :meth:`fit_bg_batched`. Returns ------- @@ -471,7 +477,9 @@ def fit_bg( """ # A single curve is just a batch of one Ik_row = torch.as_tensor(Ik)[None, :] - bg_stack, f_stack = self.fit_bg_batched(Ik_row, kmin=kmin, kmax=kmax) + bg_stack, f_stack = self.fit_bg_batched( + Ik_row, kmin=kmin, kmax=kmax, bg_model=bg_model, num_power_laws=num_power_laws, fk=fk, bg_weight=bg_weight + ) self.bg, self.f = bg_stack[0], f_stack[0] return self.bg, self.f @@ -480,6 +488,10 @@ def fit_bg_batched( Ik_stack: torch.Tensor, kmin: float | None = None, kmax: float | None = None, + bg_model: str = "gaussian", + num_power_laws: int = 2, + fk: NDArray | None = None, + bg_weight: str = "default", ) -> tuple[torch.Tensor, torch.Tensor]: """Fit B(k) for a stack of N radial curves at once (vectorized LM). @@ -500,6 +512,26 @@ def fit_bg_batched( (N, Nk) radial means, one row per curve. kmin, kmax Fit range. + bg_model + "gaussian": B(k) = c + i0 exp(-k^2 / 2 s0^2) + i1 exp(-k^4 / 2 s1^4), + the py4DSTEM model. + "power": B(k) = c + sum_i a_i (1 + k^2 / s_i^2)^(-p_i), with + num_power_laws (1 or 2) terms. Every parameter is positive, so the + single-scattering term f(k) = B(k) - c is positive and decreases + monotonically, and it falls off as a power of k like the atomic + scattering factors rather than exponentially. + "known": B(k) = N fk(k)^2 + c, the standard normalization by the + composition-averaged scattering factor, for a known composition. + Only N >= 0 and c >= 0 are fit (weighted linear least squares). + fk + Mean atomic scattering factor on the k axis of the polar + data, required for bg_model="known". For several elements pass + sqrt(). + bg_weight + Residual weighting of the fit. "default" (py4DSTEM) divides by a line + that falls with k. "k" weights by k. "k/I" weights by k / I(k), the + error in F(k) = k [I(k) - B(k)] / f(k)^2 for B close to I. All use + the low-k taper. Returns ------- @@ -520,11 +552,42 @@ def fit_bg_batched( # first 0.25 1/A above kmin suppresses the central-beam tail, and dividing # by a line that falls with k favours high k. taper = torch.sin(0.5 * torch.pi * torch.clamp((k_fit - kmin) / 0.25, 0.0, 1.0)) ** 2 - resid_weights = torch.where(taper > 1e-4, taper, 0.0) / (k_fit[-1] - 0.9 * k_fit + dk) + taper = torch.where(taper > 1e-4, taper, 0.0) Ik = torch.as_tensor(Ik_stack, dtype=torch.float64, device=self.device) Ik_fit = Ik[:, fit_mask].clamp(min=1e-10) # (N, Nf) + if bg_weight == "default": + resid_weights = taper / (k_fit[-1] - 0.9 * k_fit + dk) + elif bg_weight == "k": + resid_weights = taper * k_fit + elif bg_weight == "k/I": # one curve's weights, shared by the batch + resid_weights = taper * k_fit / Ik_fit.mean(dim=0) + else: + raise ValueError(f"bg_weight must be 'default', 'k' or 'k/I', got {bg_weight!r}") + resid_weights = resid_weights / resid_weights.max() n = Ik_fit.shape[0] # number of Ik in batch + if bg_model == "power": + return self._fit_bg_power(k, k_fit, Ik_fit, resid_weights, num_power_laws) + if bg_model == "known": + if fk is None: + raise ValueError("bg_model='known' needs fk, the scattering factor on the k axis") + f2 = torch.as_tensor(np.asarray(fk), dtype=torch.float64, device=self.device) ** 2 + A = torch.stack([f2[fit_mask], torch.ones_like(k_fit)], dim=1) * resid_weights[:, None] + coef = torch.linalg.lstsq(A, (Ik_fit * resid_weights[None, :]).T).solution # (2, N) + scale = coef[0].clamp(min=1e-30) + c = coef[1].clamp(min=0.0) + # refit the scale alone where the constant was clamped to zero + refit = coef[1] < 0 + scale = torch.where( + refit, + (Ik_fit * resid_weights**2 * f2[fit_mask]).sum(1) / (resid_weights**2 * f2[fit_mask] ** 2).sum(), + scale, + ) + f = scale[:, None] * f2[None, :] + return (f + c[:, None]).to(dtype=torch.float32), f.to(dtype=torch.float32) + if bg_model != "gaussian": + raise ValueError(f"bg_model must be 'gaussian', 'power' or 'known', got {bg_model!r}") + # Build Jacobian # Initial guesses: constant = min(I), amplitudes = median(I) - min(I), widths = mean(k). c0 = Ik_fit.amin(dim=1) # (N,) @@ -634,6 +697,79 @@ def _loss(theta: torch.Tensor) -> torch.Tensor: f = (bg - c[:, None]).clamp(min=1e-10 * bg.amax(dim=1, keepdim=True)) return bg.to(dtype=torch.float32), f.to(dtype=torch.float32) + def _fit_bg_power(self, k, k_fit, Ik_fit, resid_weights, num_power_laws): + """Power-law background B(k) = c + sum_i a_i (1 + k^2 / s_i^2)^(-p_i), + fit by batched Levenberg-Marquardt on log-parameters (all positive).""" + if num_power_laws not in (1, 2): + raise ValueError("num_power_laws must be 1 or 2") + n = Ik_fit.shape[0] + k2_fit, k2 = k_fit**2, k**2 + + def model(theta, kk2): + # theta: (P,) log-parameters [c, a_1, s_1, p_1, (a_2, s_2, p_2)] + par = torch.exp(theta) + B = par[0] + 0 * kk2 + for i in range(num_power_laws): + a, s, pw = par[1 + 3 * i], par[2 + 3 * i], par[3 + 3 * i] + B = B + a * (1.0 + kk2 / s**2) ** (-pw) + return B + + def residual(theta, Ik_row): + return (model(theta, k2_fit) - Ik_row) * resid_weights + + jac_fn = torch.func.vmap(torch.func.jacrev(residual), in_dims=(0, 0)) + res_fn = torch.func.vmap(residual, in_dims=(0, 0)) + + # initial guesses: constant = min(I), a steep term near the central beam and a slower tail + c0 = Ik_fit.amin(dim=1).clamp(min=1e-10) + amp = (Ik_fit[:, 0] - c0).clamp(min=1e-10) + cols = [c0] + for s0, p0 in [(0.3, 2.0), (1.0, 1.0)][:num_power_laws]: + cols += [amp / num_power_laws, torch.full_like(c0, s0), torch.full_like(c0, p0)] + theta = torch.log(torch.stack(cols, dim=1)) # (N, P) + n_par = theta.shape[1] + + def loss_fn(th): + r = res_fn(th, Ik_fit) + return (r * r).sum(dim=1) + + lam = torch.ones(n, dtype=torch.float64, device=self.device) + loss = loss_fn(theta) + eye = 1e-12 * torch.eye(n_par, dtype=torch.float64, device=self.device) + for _ in range(300): + r = res_fn(theta, Ik_fit) + jac = jac_fn(theta, Ik_fit) # (N, Nf, P) + JtJ = torch.einsum("nki,nkj->nij", jac, jac) + Jtr = torch.einsum("nki,nk->ni", jac, r) + diag = torch.diagonal(JtJ, dim1=1, dim2=2).clamp(min=1e-12) + theta_base, prev_loss = theta, loss + accepted = torch.zeros(n, dtype=torch.bool, device=self.device) + for _ in range(30): + delta = torch.linalg.solve(JtJ + lam[:, None, None] * torch.diag_embed(diag) + eye, Jtr) + step = (1.0 / delta.abs().amax(dim=1).clamp(min=1e-30)).clamp(max=1.0) + theta_trial = theta_base - delta * step[:, None] + loss_trial = loss_fn(theta_trial) + improved = torch.isfinite(loss_trial) & (loss_trial < loss) & (~accepted) + theta = torch.where(improved[:, None], theta_trial, theta) + loss = torch.where(improved, loss_trial, loss) + accepted = accepted | improved + lam = torch.where( + improved, + (lam * 0.3).clamp(min=1e-12), + torch.where(~accepted, (lam * 3.0).clamp(max=1e12), lam), + ) + if bool(accepted.all()): + break + if not bool(accepted.any()): + break + if float(((prev_loss - loss) / (prev_loss + 1e-30)).max()) < 1e-10: + break + + with torch.no_grad(): + bg = torch.stack([model(th, k2) for th in theta]) # (N, Nk) + f = (bg - torch.exp(theta[:, :1])).clamp(min=1e-10 * bg.amax(dim=1, keepdim=True)) + return bg.to(dtype=torch.float32), f.to(dtype=torch.float32) + def calculate_Gr( self, k_min_fit: float | None = None, @@ -650,6 +786,10 @@ def calculate_Gr( r_cut: float = 0.8, max_iter: int = 6, returnval: bool = False, + bg_model: str = "gaussian", + num_power_laws: int = 2, + fk: NDArray | None = None, + bg_weight: str = "default", ) -> list[NDArray] | None: """ Calculate the reduced pair distribution function G(r) from a 4D-STEM dataset. @@ -710,6 +850,10 @@ def calculate_Gr( :meth:`damp_origin_oscillations`. returnval : bool, optional If True, return ``[r, G(r)]`` as numpy arrays. + bg_model, num_power_laws, fk, bg_weight : optional + Background model: "gaussian" (default), "power" with 1 or 2 power + laws, or "known" with the scattering factor fk; see + :meth:`fit_bg_batched`. bg_weight sets the fit weighting. Returns ------- @@ -758,7 +902,8 @@ def calculate_Gr( else: Ik = self.calculate_radial_mean(mask_realspace=mask_bool, returnval=True) # always refit the background fit bc it is cheap - bg, f = self.fit_bg(Ik, self.kmin_fit, self.kmax_fit) + bg, f = self.fit_bg(Ik, self.kmin_fit, self.kmax_fit, bg_model=bg_model, num_power_laws=num_power_laws, fk=fk, + bg_weight=bg_weight) # prevent division by near-zero values which cause NaNs at high k f_safe = torch.clamp(f, min=1e-10 * f.max()) @@ -816,6 +961,25 @@ def calculate_Gr( return [to_numpy(self._r), to_numpy(Gr)] return None + def windowed_model_pdf(self, r_model: NDArray, g_model: NDArray, density: float) -> NDArray: + """ + g(r) of a model after the same k range and window as the last + calculate_Gr, on self.r, for comparison with the measured PDF: + G(r) = 4 pi r rho0 [g(r) - 1] -> F(k) -> windowed F(k) -> G(r). + + r_model, g_model : uniform r grid (Angstroms) and model g(r). + density : number density rho0 (atoms / A^3). + """ + r_m = torch.as_tensor(np.asarray(r_model), dtype=torch.float64) + G_m = 4 * np.pi * r_m * density * (torch.as_tensor(np.asarray(g_model), dtype=torch.float64) - 1) + k = torch.as_tensor(np.asarray(self.qq), dtype=torch.float64) + dr, dk = float(r_m[1] - r_m[0]), float(k[1] - k[0]) + F = torch.sin(2 * np.pi * torch.outer(k, r_m)) @ G_m * dr # F(Q), Q = 2 pi k + w = self._k_window(k.float(), self.kmin_window, self.kmax_window).double() + r = torch.as_tensor(np.asarray(self.r), dtype=torch.float64) + G = (2 / np.pi) * (torch.sin(2 * np.pi * torch.outer(r, k)) @ (F * w)) * 2 * np.pi * dk + return (1 + G / (4 * np.pi * torch.clamp(r, min=1e-6) * density)).numpy() + def calculate_gr( self, density: float | None = None, diff --git a/tests/diffraction/test_polar.py b/tests/diffraction/test_polar.py index 7f8e77164..e0aaca147 100644 --- a/tests/diffraction/test_polar.py +++ b/tests/diffraction/test_polar.py @@ -681,7 +681,7 @@ def _pdf_with_injected_S(cls): pdf.Ik = torch.tensor(S - 1, dtype=torch.float32) pdf.bg = torch.zeros(len(k)) pdf.f = torch.ones(len(k)) - pdf.fit_bg = lambda Ik, kmin=None, kmax=None: (pdf.bg, pdf.f) + pdf.fit_bg = lambda Ik, kmin=None, kmax=None, **kwargs: (pdf.bg, pdf.f) return pdf, k, S def test_G_matches_windowed_transform_of_true_S(self): From caeb9919b2ec8b211bec85ff48b2bf629e0ebfea Mon Sep 17 00:00:00 2001 From: Colin Ophus Date: Sun, 25 Oct 2026 06:55:49 -0700 Subject: [PATCH 43/45] PairDistributionFunction: power-law background by default, low-r fix - default background: one power law with k / I(k) weighting - background weights per curve, so batched and single fits agree - low-r density correction acts over the window, not the bg fit range - remove windowed_model_pdf - tests: each background model recovers a background of its own form Co-Authored-By: Claude Opus 5.5 --- src/quantem/diffraction/polar.py | 128 ++++++++++++++----------------- tests/diffraction/test_polar.py | 27 ++++--- 2 files changed, 74 insertions(+), 81 deletions(-) diff --git a/src/quantem/diffraction/polar.py b/src/quantem/diffraction/polar.py index d13ebe96e..dab69df5c 100644 --- a/src/quantem/diffraction/polar.py +++ b/src/quantem/diffraction/polar.py @@ -35,7 +35,7 @@ class PairDistributionFunction(AutoSerialize): - polar transform of the diffraction patterns - azimuthal averaging to obtain I(k) - - parametric background fit B(k) (Gaussian model in k² and k⁴) + - parametric background fit B(k) (by default a constant plus a power law) - reduced structure factor F(k) = 2π · k · [S(k) − 1] - windowed sine transform of F(k) to recover the reduced PDF G(r) - optional low-r correction of S(k) for a known density (Kaplow 1965 / @@ -430,29 +430,29 @@ def fit_bg( Ik: torch.Tensor, kmin: float | None = None, kmax: float | None = None, - bg_model: str = "gaussian", - num_power_laws: int = 2, + bg_model: str = "power", + num_power_laws: int = 1, fk: NDArray | None = None, - bg_weight: str = "default", + bg_weight: str = "k/I", ) -> tuple[torch.Tensor, torch.Tensor]: """ Fit a smooth background B(k) to a radial intensity curve I(k). - The background model is a constant plus two monotonically decaying - terms (adopted from py4DSTEM): + The default background model is a constant plus a power law, - B(k) = c - + i0 * exp(-k^2 / (2 s0^2)) - + i1 * exp(-k^4 / (2 s1^4)) + B(k) = c + a * (1 + k^2 / s^2)^(-p), - B(k) is later subtracted from I(k) to isolate the diffuse signal, and - f(k) = B(k) - c is used as the denominator in the structure factor - S(k) = 1 + [I(k) − B(k)] / f(k). + with every parameter positive, so f(k) = B(k) - c is positive and + decreases monotonically. B(k) is later subtracted from I(k) to isolate + the diffuse signal, and f(k) is used as the denominator in the + structure factor S(k) = 1 + [I(k) − B(k)] / f(k). A second power law, + the py4DSTEM Gaussian model, or tabulated scattering factors can be + chosen with bg_model (see :meth:`fit_bg_batched`). - The five parameters are fit by weighted least squares over k in [kmin, kmax]. - Each residual is weighted by a sin² low-k taper that downweights the central - beam, divided by a linear factor that falls with k so that higher k counts - more (see :meth:`fit_bg_batched`). This is the single-curve convenience over + The parameters are fit by weighted least squares over k in [kmin, kmax]. + By default each residual is weighted by k / I(k), the error in F(k), times + a sin² low-k taper that downweights the central beam. This is the + single-curve convenience over :meth:`fit_bg_batched`, which holds the torch-native Levenberg-Marquardt solver. Parameters @@ -488,10 +488,10 @@ def fit_bg_batched( Ik_stack: torch.Tensor, kmin: float | None = None, kmax: float | None = None, - bg_model: str = "gaussian", - num_power_laws: int = 2, + bg_model: str = "power", + num_power_laws: int = 1, fk: NDArray | None = None, - bg_weight: str = "default", + bg_weight: str = "k/I", ) -> tuple[torch.Tensor, torch.Tensor]: """Fit B(k) for a stack of N radial curves at once (vectorized LM). @@ -514,8 +514,9 @@ def fit_bg_batched( Fit range. bg_model "gaussian": B(k) = c + i0 exp(-k^2 / 2 s0^2) + i1 exp(-k^4 / 2 s1^4), - the py4DSTEM model. - "power": B(k) = c + sum_i a_i (1 + k^2 / s_i^2)^(-p_i), with + the py4DSTEM model, which falls off too fast to follow the atomic + scattering factors at high k. + "power" (default): B(k) = c + sum_i a_i (1 + k^2 / s_i^2)^(-p_i), with num_power_laws (1 or 2) terms. Every parameter is positive, so the single-scattering term f(k) = B(k) - c is positive and decreases monotonically, and it falls off as a power of k like the atomic @@ -528,10 +529,10 @@ def fit_bg_batched( data, required for bg_model="known". For several elements pass sqrt(). bg_weight - Residual weighting of the fit. "default" (py4DSTEM) divides by a line - that falls with k. "k" weights by k. "k/I" weights by k / I(k), the - error in F(k) = k [I(k) - B(k)] / f(k)^2 for B close to I. All use - the low-k taper. + Residual weighting of the fit. "k/I" (default) weights by k / I(k), + the error in F(k) = k [I(k) - B(k)] / f(k)^2 for B close to I. "k" + weights by k. "default" (py4DSTEM) divides by a line that falls + with k. All use the low-k taper. Returns ------- @@ -555,15 +556,16 @@ def fit_bg_batched( taper = torch.where(taper > 1e-4, taper, 0.0) Ik = torch.as_tensor(Ik_stack, dtype=torch.float64, device=self.device) Ik_fit = Ik[:, fit_mask].clamp(min=1e-10) # (N, Nf) + # residual weights, one row per curve: (N, Nf) if bg_weight == "default": - resid_weights = taper / (k_fit[-1] - 0.9 * k_fit + dk) + resid_weights = (taper / (k_fit[-1] - 0.9 * k_fit + dk)).expand_as(Ik_fit) elif bg_weight == "k": - resid_weights = taper * k_fit - elif bg_weight == "k/I": # one curve's weights, shared by the batch - resid_weights = taper * k_fit / Ik_fit.mean(dim=0) + resid_weights = (taper * k_fit).expand_as(Ik_fit) + elif bg_weight == "k/I": + resid_weights = taper * k_fit / Ik_fit else: raise ValueError(f"bg_weight must be 'default', 'k' or 'k/I', got {bg_weight!r}") - resid_weights = resid_weights / resid_weights.max() + resid_weights = resid_weights / resid_weights.amax(dim=1, keepdim=True) n = Ik_fit.shape[0] # number of Ik in batch if bg_model == "power": @@ -572,17 +574,17 @@ def fit_bg_batched( if fk is None: raise ValueError("bg_model='known' needs fk, the scattering factor on the k axis") f2 = torch.as_tensor(np.asarray(fk), dtype=torch.float64, device=self.device) ** 2 - A = torch.stack([f2[fit_mask], torch.ones_like(k_fit)], dim=1) * resid_weights[:, None] - coef = torch.linalg.lstsq(A, (Ik_fit * resid_weights[None, :]).T).solution # (2, N) - scale = coef[0].clamp(min=1e-30) - c = coef[1].clamp(min=0.0) + basis = torch.stack([f2[fit_mask], torch.ones_like(k_fit)], dim=1) # (Nf, 2) + A = basis[None, :, :] * resid_weights[:, :, None] # (N, Nf, 2) + coef = torch.linalg.lstsq(A, (Ik_fit * resid_weights)[:, :, None]).solution[:, :, 0] # (N, 2) + c = coef[:, 1].clamp(min=0.0) # refit the scale alone where the constant was clamped to zero - refit = coef[1] < 0 + w2f = resid_weights**2 * f2[fit_mask] scale = torch.where( - refit, - (Ik_fit * resid_weights**2 * f2[fit_mask]).sum(1) / (resid_weights**2 * f2[fit_mask] ** 2).sum(), - scale, - ) + coef[:, 1] < 0, + (Ik_fit * w2f).sum(1) / (w2f * f2[fit_mask]).sum(1), + coef[:, 0], + ).clamp(min=1e-30) f = scale[:, None] * f2[None, :] return (f + c[:, None]).to(dtype=torch.float32), f.to(dtype=torch.float32) if bg_model != "gaussian": @@ -616,7 +618,7 @@ def _rj(theta: torch.Tensor) -> tuple[torch.Tensor, torch.Tensor]: ) ) B = c[:, None] + i0[:, None] * E0 + i1[:, None] * E1 - w = resid_weights[None, :] # residual weights, broadcast over the batch + w = resid_weights # (N, Nf) residual weights r = (B - Ik_fit) * w t0 = i0[:, None] * E0 t1 = i1[:, None] * E1 @@ -714,11 +716,11 @@ def model(theta, kk2): B = B + a * (1.0 + kk2 / s**2) ** (-pw) return B - def residual(theta, Ik_row): - return (model(theta, k2_fit) - Ik_row) * resid_weights + def residual(theta, Ik_row, w_row): + return (model(theta, k2_fit) - Ik_row) * w_row - jac_fn = torch.func.vmap(torch.func.jacrev(residual), in_dims=(0, 0)) - res_fn = torch.func.vmap(residual, in_dims=(0, 0)) + jac_fn = torch.func.vmap(torch.func.jacrev(residual), in_dims=(0, 0, 0)) + res_fn = torch.func.vmap(residual, in_dims=(0, 0, 0)) # initial guesses: constant = min(I), a steep term near the central beam and a slower tail c0 = Ik_fit.amin(dim=1).clamp(min=1e-10) @@ -730,15 +732,15 @@ def residual(theta, Ik_row): n_par = theta.shape[1] def loss_fn(th): - r = res_fn(th, Ik_fit) + r = res_fn(th, Ik_fit, resid_weights) return (r * r).sum(dim=1) lam = torch.ones(n, dtype=torch.float64, device=self.device) loss = loss_fn(theta) eye = 1e-12 * torch.eye(n_par, dtype=torch.float64, device=self.device) for _ in range(300): - r = res_fn(theta, Ik_fit) - jac = jac_fn(theta, Ik_fit) # (N, Nf, P) + r = res_fn(theta, Ik_fit, resid_weights) + jac = jac_fn(theta, Ik_fit, resid_weights) # (N, Nf, P) JtJ = torch.einsum("nki,nkj->nij", jac, jac) Jtr = torch.einsum("nki,nk->ni", jac, r) diag = torch.diagonal(JtJ, dim1=1, dim2=2).clamp(min=1e-12) @@ -786,10 +788,10 @@ def calculate_Gr( r_cut: float = 0.8, max_iter: int = 6, returnval: bool = False, - bg_model: str = "gaussian", - num_power_laws: int = 2, + bg_model: str = "power", + num_power_laws: int = 1, fk: NDArray | None = None, - bg_weight: str = "default", + bg_weight: str = "k/I", ) -> list[NDArray] | None: """ Calculate the reduced pair distribution function G(r) from a 4D-STEM dataset. @@ -851,8 +853,8 @@ def calculate_Gr( returnval : bool, optional If True, return ``[r, G(r)]`` as numpy arrays. bg_model, num_power_laws, fk, bg_weight : optional - Background model: "gaussian" (default), "power" with 1 or 2 power - laws, or "known" with the scattering factor fk; see + Background model: "power" with 1 (default) or 2 power laws, + "gaussian", or "known" with the scattering factor fk; see :meth:`fit_bg_batched`. bg_weight sets the fit weighting. Returns @@ -961,25 +963,6 @@ def calculate_Gr( return [to_numpy(self._r), to_numpy(Gr)] return None - def windowed_model_pdf(self, r_model: NDArray, g_model: NDArray, density: float) -> NDArray: - """ - g(r) of a model after the same k range and window as the last - calculate_Gr, on self.r, for comparison with the measured PDF: - G(r) = 4 pi r rho0 [g(r) - 1] -> F(k) -> windowed F(k) -> G(r). - - r_model, g_model : uniform r grid (Angstroms) and model g(r). - density : number density rho0 (atoms / A^3). - """ - r_m = torch.as_tensor(np.asarray(r_model), dtype=torch.float64) - G_m = 4 * np.pi * r_m * density * (torch.as_tensor(np.asarray(g_model), dtype=torch.float64) - 1) - k = torch.as_tensor(np.asarray(self.qq), dtype=torch.float64) - dr, dk = float(r_m[1] - r_m[0]), float(k[1] - k[0]) - F = torch.sin(2 * np.pi * torch.outer(k, r_m)) @ G_m * dr # F(Q), Q = 2 pi k - w = self._k_window(k.float(), self.kmin_window, self.kmax_window).double() - r = torch.as_tensor(np.asarray(self.r), dtype=torch.float64) - G = (2 / np.pi) * (torch.sin(2 * np.pi * torch.outer(r, k)) @ (F * w)) * 2 * np.pi * dk - return (1 + G / (4 * np.pi * torch.clamp(r, min=1e-6) * density)).numpy() - def calculate_gr( self, density: float | None = None, @@ -1116,7 +1099,8 @@ def damp_origin_oscillations( k = torch.from_numpy(np.asarray(self.qq).astype(np.float32)).to(device=self.device) dk = k[1] - k[0] - k_fit_mask = (k >= self.kmin_fit) & (k <= self.kmax_window) + # correct S(k) over the transformed (window) range, which can be wider than the bg fit range + k_fit_mask = (k >= self.kmin_window) & (k <= self.kmax_window) k_fit = k[k_fit_mask] ka, ra = torch.meshgrid(k, self._r, indexing="ij") diff --git a/tests/diffraction/test_polar.py b/tests/diffraction/test_polar.py index e0aaca147..3b349c1a5 100644 --- a/tests/diffraction/test_polar.py +++ b/tests/diffraction/test_polar.py @@ -315,29 +315,38 @@ def test_fit_bg_basic(self, synthetic_dataset2d): # Check that background is positive assert (bg >= 0).all() - def test_fit_bg_recovers_known_background(self, synthetic_4dstem_dataset): - """The torch fit recovers a known smooth background under a structure - modulation, on a realistic high-dynamic-range I(k) / calibrated axis.""" + @pytest.mark.parametrize("bg_model", ["power", "gaussian"]) + def test_fit_bg_recovers_known_background(self, synthetic_4dstem_dataset, bg_model): + """Each background model recovers a known smooth background of its own + form under a structure modulation, on a realistic high-dynamic-range + I(k) / calibrated axis.""" pdf = PairDistributionFunction.from_data(synthetic_4dstem_dataset, find_origin=False) nb = len(np.asarray(pdf.qq)) pdf.polar.sampling[3] = 2.3 / (nb - 1) # realistic 1/A q-axis k = np.asarray(pdf.qq) rng = np.random.RandomState(0) - bg_true = ( - 0.5 + 900.0 * np.exp(-(k**2) / (2 * 0.09**2)) + 6.0 * np.exp(-(k**4) / (2 * 0.8**4)) - ) + if bg_model == "gaussian": + bg_true = 0.5 + 900.0 * np.exp(-(k**2) / (2 * 0.09**2)) + 6.0 * np.exp(-(k**4) / (2 * 0.8**4)) + else: + bg_true = 0.5 + 900.0 * (1 + k**2 / 0.15**2) ** -1.8 # add 35% amplitude ripple to the true bg to simulate scattering modulation = 1.0 + 0.35 * np.sin(2 * np.pi * k / 0.42 + 0.5) * np.exp(-k / 1.2) Ik = np.clip(bg_true * modulation + np.abs(0.5 * rng.randn(k.size)), 1e-6, None).astype( np.float32 ) # try fitting to this simulated Ik - bg, _ = pdf.fit_bg(Ik.copy()) - bg = bg.cpu().numpy() - assert (bg >= 0).all() + weight = "default" if bg_model == "gaussian" else "k/I" + bg, f = pdf.fit_bg(Ik.copy(), bg_model=bg_model, bg_weight=weight) + bg, f = bg.cpu().numpy(), f.cpu().numpy() + assert (bg >= 0).all() and (f > 0).all() + assert (np.diff(f) <= 0).all(), "single scattering f(k) must decrease monotonically" # The fit tracks the modulated data, so pointwise error reflects the # ~35% structure modulation # the recovered shape of the smooth background should still correlate strongly with the truth. + # The power model is weighted toward the whole dynamic range (k / I), so + # compare it in log space; the Gaussian model keeps the linear comparison. + if bg_model == "power": + bg, bg_true = np.log(bg), np.log(bg_true) corr = float(np.corrcoef(bg, bg_true)[0, 1]) assert corr > 0.99, f"bg shape far from truth: corr {corr:.4g}" From 23b5fcb957740b0553918901ed672a449cbf91b8 Mon Sep 17 00:00:00 2001 From: Colin Ophus Date: Sun, 25 Oct 2026 08:13:30 -0700 Subject: [PATCH 44/45] PADF cleanup after review Fixes: - random_clusters works for any cell shape (fractional minimum image, radius capped at half the smallest face spacing); hcp clusters were missing atoms - cluster_patterns raises when the cluster does not fit the render grid and returns a calibrated Dataset4dstem - padf_from_clusters / padf2d_from_clusters accept r grids not starting at 0 - PairAngleDistributionFunction: accepts a list of polar datasets (averaged angular correlation), fq as a function of q, exposes q, skips the origin search when polar data is given, constructor r grid includes r_max, Na = 1 - k/I background weights floor I(k) at 1e-3 of its median Cleanup: - one batched Levenberg-Marquardt helper for the power and Gaussian backgrounds; 'default' weighting renamed 'py4dstem'; stale docs fixed - torch Legendre polynomials and Hankel transforms in place of scipy/numpy - plot_diagonal: full r range by default, (r r')^p weighting as in simple_plot, median subtracted over angle for display - gr_truth_2d folded into gr_truth (identical for 3D cells) - dead code and stale comments removed Co-Authored-By: Claude Opus 5.5 --- src/quantem/diffraction/gr_truth.py | 189 ++++++++---- src/quantem/diffraction/gr_truth_2d.py | 399 ------------------------- src/quantem/diffraction/lattices.py | 60 ++-- src/quantem/diffraction/padf.py | 88 +++--- src/quantem/diffraction/padf2d.py | 78 +++-- src/quantem/diffraction/polar.py | 361 ++++++++-------------- tests/diffraction/test_polar.py | 2 +- 7 files changed, 389 insertions(+), 788 deletions(-) delete mode 100644 src/quantem/diffraction/gr_truth_2d.py diff --git a/src/quantem/diffraction/gr_truth.py b/src/quantem/diffraction/gr_truth.py index 9e6ee40b1..a77a1262b 100644 --- a/src/quantem/diffraction/gr_truth.py +++ b/src/quantem/diffraction/gr_truth.py @@ -1,5 +1,30 @@ """ Adapted from PDFs_3batch by Arthur McCray (renamed 9/23/2026) + +Three-body g3(r, r', theta) histograms of atomic structures (PDF3B), for 3D +cells and for 2D (monolayer / coplanar) structures. + +Differences from PDFs_3batch.py +------------------------------- +1. Flat-axis detection: a non-periodic axis along which every atom shares the + same coordinate is "flat". Centers are no longer trimmed along such an axis + (a monolayer loses no neighbors above/below the plane), which previously + emptied `center_inds` and crashed on `max([len(i) for i in inds_all])`. + For genuinely thick non-periodic axes the trim margin is now measured from + the atomic extent rather than the cell, so a thin film in a tall vacuum cell + is handled correctly. +2. Areal density (atoms / A^2) is used when exactly one axis is flat, instead of + a volumetric density taken from an arbitrary vacuum-padded cell. +3. 2D normalization: the coplanar ideal-gas pair measure is + 4 * pi * sigma^2 * r1 * r2 * dr^2 * dtheta + i.e. linear in r and with NO sin(theta) factor. Dividing a 2D PADF by + sin(theta) manufactures spurious intensity at 0 and 180 degrees. +4. `good_vals` now compares the theta bin index against the number of theta + bins rather than against the literal value 180 (the original was only + correct for dtheta == 1). + +The 3D code path is unchanged; a fully periodic or thick non-periodic cell +behaves exactly as before. """ import numpy as np @@ -37,6 +62,7 @@ def pdf3B( v=None, pbcs=None, subpixel_weights=True, + flat_tol=1e-6, ): xp = self._xp stime = time.perf_counter() @@ -62,18 +88,60 @@ def pdf3B( positions = xp.array(positions_np) vprint(f"Cell size (A): {bbox_np}") - # vprint(f"max dist possible between two points with full pbcs: {np.sqrt(3*(bbox_np.max()/2)**2):.2f} A") vprint(f"Using a max radius of {hist_r_max} A") - ### get center positions that aren't within r_max of a boundary without pbcs + ### FIX 1a: identify flat axes -- non-periodic with zero atomic extent. + ### A monolayer has no neighbors to lose along such an axis, so every + ### atom already has a complete neighborhood and must not be trimmed. + flat_axes = [ + i + for i in range(3) + if not pbcs_np[i] and np.ptp(positions_np[:, i]) < flat_tol + ] + self.flat_axes = flat_axes + if len(flat_axes) == 1: + vprint( + f"Detected flat (2D) axis {flat_axes[0]}: using areal density " + "and 2D normalization" + ) + elif len(flat_axes) > 1: + vprint( + f"WARNING: {len(flat_axes)} flat axes {flat_axes} -> structure is " + "1D or a single point. Falling back to volumetric normalization, " + "which is not correct for this geometry." + ) + + ### warn if the minimum-image convention is violated in a periodic dim. + ### _get_vecs_pbcs and query_ball_tree both require L > 2 * hist_r_max + for i, p in enumerate(pbcs_np): + if p and bbox_np[i] <= 2 * hist_r_max: + vprint( + f"WARNING: periodic axis {i} has L = {bbox_np[i]:.2f} A " + f"<= 2 * hist_r_max = {2 * hist_r_max} A. Minimum-image " + "distances and neighbor counts will be wrong -- tile the " + "cell first, e.g. atoms * (n, m, 1)." + ) + + ### FIX 1b: get center positions that aren't within r_max of a boundary + ### without pbcs. Margins are measured from the atomic extent, not the + ### cell, and flat axes are skipped entirely. goods = np.ones(len(positions_np)).astype("bool") for i, p in enumerate(pbcs_np): - if p: + if p or i in flat_axes: continue - goods *= (positions_np[:, i] > hist_r_max) & ( - positions_np[:, i] < (bbox_np[i] - hist_r_max) + lo = positions_np[:, i].min() + hi = positions_np[:, i].max() + goods *= (positions_np[:, i] > lo + hist_r_max) & ( + positions_np[:, i] < hi - hist_r_max ) center_inds = np.where(goods)[0] + if len(center_inds) == 0: + raise ValueError( + "No valid center atoms: every atom lies within hist_r_max of a " + "non-periodic boundary. The atomic extent along each finite, " + f"non-flat axis must exceed 2 * hist_r_max = {2 * hist_r_max} A. " + "Reduce hist_r_max, use a thicker sample, or enable pbcs." + ) ### KD tree for getting neighbors, cpu cuz faster start_KD = time.perf_counter() @@ -96,10 +164,18 @@ def pdf3B( num_bins_theta = hist_theta.shape[0] hist_sig = xp.zeros((num_bins_theta, num_bins_r, num_bins_r)) - ### Density + ### FIX 2: Density -- areal for a 2D structure, volumetric otherwise cell = xp.array(atoms.cell) - volume = xp.abs(xp.sum(cell[:, 0] * xp.cross(cell[:, 1], cell[:, 2]))) - dens = positions.shape[0] / volume + if len(flat_axes) == 1: + i, j = [k for k in range(3) if k != flat_axes[0]] + area = xp.linalg.norm(xp.cross(cell[i], cell[j])) + assert area > 0, "in-plane cell area is zero" + dens = positions.shape[0] / area # atoms / A^2 + vprint(f"Areal density = {float(dens):.4g} atoms / A^2") + else: + volume = xp.abs(xp.sum(cell[:, 0] * xp.cross(cell[:, 1], cell[:, 2]))) + assert volume > 0, "cell volume is zero" + dens = positions.shape[0] / volume # atoms / A^3 ### making big arrays that will be filled maxinds = max([len(i) for i in inds_all]) @@ -122,34 +198,13 @@ def pdf3B( weights_full = None weights = None - # ### making big arrays that will be filled - # natoms_dens = (4 / 3 * xp.pi * hist_r_max**3) * dens - # maxval_n = int(1.25 * natoms_dens**2) - # vals = xp.zeros((3, maxval_n * batch_size)).astype("int") - # maxinds = max([len(i) for i in inds_all]) - # inds2 = xp.zeros((batch_size, maxinds)).astype("int") - # if subpixel_weights: - # weights_full = xp.empty(maxval_n * batch_size) - # weights = weights_full - # else: - # weights_full = None - # weights = None - - # if hist_r_max > 15: - # split_bincount = True - # off_inds = xp.triu_indices(maxinds, k=1) - # else: - # split_bincount = False - # off_inds = xp.where(~xp.eye(maxinds, dtype=bool)) - vprint(f"Num total atoms in sim = {len(positions)}") - if not np.all(pbcs): - vprint(f"Num non-edge atoms = {len(center_inds)}") + if not np.all(pbcs_np) and len(flat_axes) < 3: + vprint(f"Num valid center atoms = {len(center_inds)}") if skip != 1: vprint( f"Skip = {skip}, so calculating using {len(center_inds_skip)} atoms as centers" ) - # vprint(f'atomic density = {dens:.3} atoms / A^3') vprint("Final shape will be: ", hist_sig.shape) for a0 in range(0, len(center_inds_skip), batch_size): @@ -200,8 +255,16 @@ def pdf3B( r_floor2 = xp.round(r_ind2).astype("int") theta_floor = xp.round(theta_ind).astype("int") - good_vals = (r_floor1 > 1e-9) & (r_floor2 > 1e-9) & (theta_floor > 0) & (theta_floor < 180) - good_inds = xp.where(good_vals)[0] # Get the actual indices where good_vals is True + ### FIX 4: theta_floor is a BIN INDEX, so bound it by the number of + ### theta bins. The original compared it against the literal 180, + ### which was only correct for dtheta == 1. + good_vals = ( + (r_floor1 > 1e-9) + & (r_floor2 > 1e-9) + & (theta_floor > 0) + & (theta_floor < num_bins_theta - 1) + ) + good_inds = xp.where(good_vals)[0] nvals = len(good_inds) vals[0, :nvals] = theta_floor[good_inds] vals[1, :nvals] = r_floor2[good_inds] @@ -211,19 +274,6 @@ def pdf3B( dtheta_ind[good_inds] + dr_ind2[good_inds] + dr_ind1[good_inds] ) / 3 weights = weights_full[:nvals] - # nvals = good_vals.sum() - - # print(f"nvals: {nvals}, theta_floor[good_vals].shape: {theta_floor[good_vals].shape}") - # print(f"r_floor2[good_vals].shape: {r_floor2[good_vals].shape}, r_floor1[good_vals].shape: {r_floor1[good_vals].shape}") - - # vals[0, :nvals] = theta_floor[good_vals] - # vals[1, :nvals] = r_floor2[good_vals] - # vals[2, :nvals] = r_floor1[good_vals] - # if subpixel_weights: - # weights_full[:nvals] = ( - # dtheta_ind[good_vals] + dr_ind2[good_vals] + dr_ind1[good_vals] - # ) / 3 - # weights = weights_full[:nvals] ### Because taking triu, have to do this twice ### and doing bincount twice with half indices seems to be ~10% faster than @@ -234,33 +284,49 @@ def pdf3B( weights=weights, ) if split_bincount: - vals[[1,2]] = vals[[2,1]] + vals[[1, 2]] = vals[[2, 1]] hist_sig += self._bincountdd( vals[:, :nvals], (num_bins_theta, num_bins_r, num_bins_r), weights=weights, ) - hist_sig /= len(center_inds_skip) + ### FIX 3: normalization gr = hist_sig.copy() r1 = hist_r[1:][None, None, ...] r2 = hist_r[1:][None, ..., None] th = hist_theta[1:-1, None, None] - gr[1:-1, 1:, 1:] /= ( - dens**2 - * dr**2 - * 8 # if all off diag indices - # * 4 # if triu - * xp.pi**2 - * r1**2 - * r2**2 - * xp.sin(xp.deg2rad(th)) - * np.deg2rad(dtheta) - ) + if len(flat_axes) == 1: + ### 2D ideal-gas pair measure: + ### sigma^2 * (2 pi r1 dr) * (2 r2 dr dtheta) + ### -> linear in r, and no sin(theta): the out-of-plane solid-angle + ### band that produces sin(theta) in 3D does not exist for coplanar + ### vectors. The factor 2 folds +/- azimuth into [0, 180]. + gr[1:-1, 1:, 1:] /= ( + dens**2 + * dr**2 + * 4 # 2 * 2pi, for all off-diagonal (ordered) pairs; use 2 for triu only + * xp.pi + * r1 + * r2 + * np.deg2rad(dtheta) + ) + else: + gr[1:-1, 1:, 1:] /= ( + dens**2 + * dr**2 + * 8 # if all off diag indices + # * 4 # if triu + * xp.pi**2 + * r1**2 + * r2**2 + * xp.sin(xp.deg2rad(th)) + * np.deg2rad(dtheta) + ) - ### required because dividing by sin(theta) + ### edge bins are half-width, and bin 0 is excluded by good_vals gr[-1] = 0 gr[0] = 0 gr[:, 0] = 0 @@ -279,9 +345,6 @@ def _get_vecs_pbcs(self, points, pointslists, bbox, pbcs=[1, 1, 1]): if np.any(pbcs): assert xp.all(xp.min(pointslists, axis=1) >= 0) assert xp.all(xp.max(pointslists, axis=1) <= bbox) - # assert xp.issubdtype( - # pointslists, float - # ), f"pointslists type: {pointslists.dtype}" dif = pointslists - points[:, None] for i, ind in enumerate(pbcs): if ind: diff --git a/src/quantem/diffraction/gr_truth_2d.py b/src/quantem/diffraction/gr_truth_2d.py deleted file mode 100644 index 40fe521dd..000000000 --- a/src/quantem/diffraction/gr_truth_2d.py +++ /dev/null @@ -1,399 +0,0 @@ -""" -Adapted from PDFs_3batch by Arthur McCray (renamed 9/23/2026) - -PDF3B with support for 2D (monolayer / coplanar) structures. - -Differences from PDFs_3batch.py -------------------------------- -1. Flat-axis detection: a non-periodic axis along which every atom shares the - same coordinate is "flat". Centers are no longer trimmed along such an axis - (a monolayer loses no neighbors above/below the plane), which previously - emptied `center_inds` and crashed on `max([len(i) for i in inds_all])`. - For genuinely thick non-periodic axes the trim margin is now measured from - the atomic extent rather than the cell, so a thin film in a tall vacuum cell - is handled correctly. -2. Areal density (atoms / A^2) is used when exactly one axis is flat, instead of - a volumetric density taken from an arbitrary vacuum-padded cell. -3. 2D normalization: the coplanar ideal-gas pair measure is - 4 * pi * sigma^2 * r1 * r2 * dr^2 * dtheta - i.e. linear in r and with NO sin(theta) factor. Dividing a 2D PADF by - sin(theta) manufactures spurious intensity at 0 and 180 degrees. -4. `good_vals` now compares the theta bin index against the number of theta - bins rather than against the literal value 180 (the original was only - correct for dtheta == 1). - -The 3D code path is unchanged; a fully periodic or thick non-periodic cell -behaves exactly as before. -""" - -import numpy as np -import time - -from scipy.spatial import KDTree -from datetime import timedelta - -try: - import cupy as cp -except (ImportError, ModuleNotFoundError): - cp = np - - -class PDF3B(object): - - def __init__(self, device="cpu", v=1): - if isinstance(device, int): - self._xp = cp - cp.cuda.runtime.setDevice(device) - elif device.lower() == "cpu": - self._xp = np - self.device = device - self._v = v - return - - def pdf3B( - self, - atoms, - dr=0.1, - dtheta=1, - hist_r_max=20, - skip=1, - batch_size=1, - v=None, - pbcs=None, - subpixel_weights=True, - flat_tol=1e-6, - ): - xp = self._xp - stime = time.perf_counter() - v = self._v if v is None else v - vprint = print if v >= 1 else lambda *a, **k: None - if skip == None: - skip = 1 - if pbcs is None: - pbcs = atoms.get_pbc() - self.pbcs = pbcs - - bbox_np = np.array(atoms.cell[(0, 1, 2), (0, 1, 2)]) - bbox = xp.array(bbox_np) - pbcs_np = np.copy(pbcs) - pbcs = xp.array(pbcs) - positions_np = np.array(atoms.positions) # for KD tree - - ### wrap into the cell along periodic dims (KDTree requires 0 <= x < L) - for i, p in enumerate(pbcs_np): - if p: - positions_np[:, i] = np.mod(positions_np[:, i], bbox_np[i]) - positions_np[positions_np[:, i] >= bbox_np[i], i] = 0.0 # fp edge case - positions = xp.array(positions_np) - - vprint(f"Cell size (A): {bbox_np}") - vprint(f"Using a max radius of {hist_r_max} A") - - ### FIX 1a: identify flat axes -- non-periodic with zero atomic extent. - ### A monolayer has no neighbors to lose along such an axis, so every - ### atom already has a complete neighborhood and must not be trimmed. - flat_axes = [ - i - for i in range(3) - if not pbcs_np[i] and np.ptp(positions_np[:, i]) < flat_tol - ] - self.flat_axes = flat_axes - if len(flat_axes) == 1: - vprint( - f"Detected flat (2D) axis {flat_axes[0]}: using areal density " - "and 2D normalization" - ) - elif len(flat_axes) > 1: - vprint( - f"WARNING: {len(flat_axes)} flat axes {flat_axes} -> structure is " - "1D or a single point. Falling back to volumetric normalization, " - "which is not correct for this geometry." - ) - - ### warn if the minimum-image convention is violated in a periodic dim. - ### _get_vecs_pbcs and query_ball_tree both require L > 2 * hist_r_max - for i, p in enumerate(pbcs_np): - if p and bbox_np[i] <= 2 * hist_r_max: - vprint( - f"WARNING: periodic axis {i} has L = {bbox_np[i]:.2f} A " - f"<= 2 * hist_r_max = {2 * hist_r_max} A. Minimum-image " - "distances and neighbor counts will be wrong -- tile the " - "cell first, e.g. atoms * (n, m, 1)." - ) - - ### FIX 1b: get center positions that aren't within r_max of a boundary - ### without pbcs. Margins are measured from the atomic extent, not the - ### cell, and flat axes are skipped entirely. - goods = np.ones(len(positions_np)).astype("bool") - for i, p in enumerate(pbcs_np): - if p or i in flat_axes: - continue - lo = positions_np[:, i].min() - hi = positions_np[:, i].max() - goods *= (positions_np[:, i] > lo + hist_r_max) & ( - positions_np[:, i] < hi - hist_r_max - ) - center_inds = np.where(goods)[0] - if len(center_inds) == 0: - raise ValueError( - "No valid center atoms: every atom lies within hist_r_max of a " - "non-periodic boundary. The atomic extent along each finite, " - f"non-flat axis must exceed 2 * hist_r_max = {2 * hist_r_max} A. " - "Reduce hist_r_max, use a thicker sample, or enable pbcs." - ) - - ### KD tree for getting neighbors, cpu cuz faster - start_KD = time.perf_counter() - bbox_np_pbcs = bbox_np * pbcs_np - bbox_np_pbcs[pbcs_np.astype(bool)] += 1e-9 - tree_all = KDTree(positions_np, copy_data=True, boxsize=bbox_np_pbcs) - center_inds_skip = center_inds[::skip] - tree_centers = KDTree( - positions_np[center_inds_skip], copy_data=True, boxsize=bbox_np_pbcs - ) - inds_all = tree_centers.query_ball_tree(tree_all, hist_r_max) - inds_all = [xp.array(i) for i in inds_all] - end_KD = time.perf_counter() - vprint(f"KDTree calc time: {end_KD - start_KD:.1e} s") - - ### Histogram coordinates - hist_theta = xp.arange(0.0, 180 + dtheta, dtheta) - hist_r = xp.arange(0.0, hist_r_max + dr, dr) - num_bins_r = hist_r.shape[0] - num_bins_theta = hist_theta.shape[0] - hist_sig = xp.zeros((num_bins_theta, num_bins_r, num_bins_r)) - - ### FIX 2: Density -- areal for a 2D structure, volumetric otherwise - cell = xp.array(atoms.cell) - if len(flat_axes) == 1: - i, j = [k for k in range(3) if k != flat_axes[0]] - area = xp.linalg.norm(xp.cross(cell[i], cell[j])) - assert area > 0, "in-plane cell area is zero" - dens = positions.shape[0] / area # atoms / A^2 - vprint(f"Areal density = {float(dens):.4g} atoms / A^2") - else: - volume = xp.abs(xp.sum(cell[:, 0] * xp.cross(cell[:, 1], cell[:, 2]))) - assert volume > 0, "cell volume is zero" - dens = positions.shape[0] / volume # atoms / A^3 - - ### making big arrays that will be filled - maxinds = max([len(i) for i in inds_all]) - inds2 = xp.zeros((batch_size, maxinds)).astype("int") - - if hist_r_max > 15: - split_bincount = True - off_inds = xp.triu_indices(maxinds, k=1) - else: - split_bincount = False - off_inds = xp.where(~xp.eye(maxinds, dtype=bool)) - - ### exact upper bound: one entry per (center, pair) in the batch - maxval_n = int(off_inds[0].shape[0]) - vals = xp.zeros((3, maxval_n * batch_size)).astype("int") - if subpixel_weights: - weights_full = xp.empty(maxval_n * batch_size) - weights = weights_full - else: - weights_full = None - weights = None - - vprint(f"Num total atoms in sim = {len(positions)}") - if not np.all(pbcs_np) and len(flat_axes) < 3: - vprint(f"Num valid center atoms = {len(center_inds)}") - if skip != 1: - vprint( - f"Skip = {skip}, so calculating using {len(center_inds_skip)} atoms as centers" - ) - vprint("Final shape will be: ", hist_sig.shape) - - for a0 in range(0, len(center_inds_skip), batch_size): - b0 = min(a0 + batch_size, len(center_inds_skip)) - batch_center_inds = center_inds_skip[a0:b0] - bsize = len(batch_center_inds) - bnum_inds = [len(inds) for inds in inds_all[a0:b0]] - for i in range(bsize): - inds2[i, : bnum_inds[i]] = inds_all[a0 + i] - - vecs = self._get_vecs_pbcs( - positions[batch_center_inds], - positions[inds2[:bsize]], - bbox=bbox, - pbcs=pbcs, - ) - for i in range(bsize): - vecs[i, bnum_inds[i] :] = 0 - - drs = xp.sqrt(xp.sum(vecs**2, axis=-1)) - - thetas_full = self._get_thetas_all(vecs, vecs, deg=True) - thetas = thetas_full[:, off_inds[0], off_inds[1]] - thetas = thetas[:bsize].ravel() - - dr1s = drs[:, off_inds[0]] - dr2s = drs[:, off_inds[1]] - dr1s = dr1s[:bsize].ravel() - dr2s = dr2s[:bsize].ravel() - - r_ind1 = dr1s / dr - r_ind2 = dr2s / dr - theta_ind = thetas / dtheta - - if subpixel_weights: - ### this isn't perfect, doesn't do corners - r_floor1 = xp.floor(r_ind1).astype("int") - dr_ind1 = r_ind1 - r_floor1 - - r_floor2 = xp.floor(r_ind2).astype("int") - dr_ind2 = r_ind2 - r_floor2 - - theta_floor = xp.floor(theta_ind).astype("int") - dtheta_ind = theta_ind - theta_floor - - else: - r_floor1 = xp.round(r_ind1).astype("int") - r_floor2 = xp.round(r_ind2).astype("int") - theta_floor = xp.round(theta_ind).astype("int") - - ### FIX 4: theta_floor is a BIN INDEX, so bound it by the number of - ### theta bins. The original compared it against the literal 180, - ### which was only correct for dtheta == 1. - good_vals = ( - (r_floor1 > 1e-9) - & (r_floor2 > 1e-9) - & (theta_floor > 0) - & (theta_floor < num_bins_theta - 1) - ) - good_inds = xp.where(good_vals)[0] - nvals = len(good_inds) - vals[0, :nvals] = theta_floor[good_inds] - vals[1, :nvals] = r_floor2[good_inds] - vals[2, :nvals] = r_floor1[good_inds] - if subpixel_weights: - weights_full[:nvals] = ( - dtheta_ind[good_inds] + dr_ind2[good_inds] + dr_ind1[good_inds] - ) / 3 - weights = weights_full[:nvals] - - ### Because taking triu, have to do this twice - ### and doing bincount twice with half indices seems to be ~10% faster than - ### once with twice as many (for a 20A cutoff), but slower if < 15 A - hist_sig += self._bincountdd( - vals[:, :nvals], - (num_bins_theta, num_bins_r, num_bins_r), - weights=weights, - ) - if split_bincount: - vals[[1, 2]] = vals[[2, 1]] - hist_sig += self._bincountdd( - vals[:, :nvals], - (num_bins_theta, num_bins_r, num_bins_r), - weights=weights, - ) - - hist_sig /= len(center_inds_skip) - - ### FIX 3: normalization - gr = hist_sig.copy() - r1 = hist_r[1:][None, None, ...] - r2 = hist_r[1:][None, ..., None] - th = hist_theta[1:-1, None, None] - if len(flat_axes) == 1: - ### 2D ideal-gas pair measure: - ### sigma^2 * (2 pi r1 dr) * (2 r2 dr dtheta) - ### -> linear in r, and no sin(theta): the out-of-plane solid-angle - ### band that produces sin(theta) in 3D does not exist for coplanar - ### vectors. The factor 2 folds +/- azimuth into [0, 180]. - gr[1:-1, 1:, 1:] /= ( - dens**2 - * dr**2 - * 4 # 2 * 2pi, for all off-diagonal (ordered) pairs; use 2 for triu only - * xp.pi - * r1 - * r2 - * np.deg2rad(dtheta) - ) - else: - gr[1:-1, 1:, 1:] /= ( - dens**2 - * dr**2 - * 8 # if all off diag indices - # * 4 # if triu - * xp.pi**2 - * r1**2 - * r2**2 - * xp.sin(xp.deg2rad(th)) - * np.deg2rad(dtheta) - ) - - ### edge bins are half-width, and bin 0 is excluded by good_vals - gr[-1] = 0 - gr[0] = 0 - gr[:, 0] = 0 - gr[:, :, 0] = 0 - - vprint("-- done --") - ttime = time.perf_counter() - stime - vprint( - f"Total time (h:m:s) {str(timedelta(seconds=round(ttime,3))).rstrip('0')}" - ) - vprint(f"Center atoms per sec: {len(center_inds_skip) / ttime:.1f}\n") - return gr - - def _get_vecs_pbcs(self, points, pointslists, bbox, pbcs=[1, 1, 1]): - xp = self._xp - if np.any(pbcs): - assert xp.all(xp.min(pointslists, axis=1) >= 0) - assert xp.all(xp.max(pointslists, axis=1) <= bbox) - dif = pointslists - points[:, None] - for i, ind in enumerate(pbcs): - if ind: - dif[:, :, i] = ( - xp.mod(dif[:, :, i] + bbox[i] * 0.5, bbox[i]) - bbox[i] * 0.5 - ) - return dif - - def _bincountdd(self, vals, nbins, weights=None): - # based on xp.histogramdd - """ - vals: array shape (N, D) - weights: array shape N - nbins: (D,) tuple (nbinsz, nbinsy, nbinsx) - based on xp.histogramdd - """ - xp = self._xp - vals = xp.floor(vals).astype("int") - xy = xp.ravel_multi_index(vals, nbins, mode="wrap") - minlength = int(np.prod(nbins)) - if weights is not None: - hist = xp.bincount(xy, weights=1 - weights, minlength=minlength).reshape( - nbins - ) - xy = xp.ravel_multi_index(vals + 1, nbins, mode="wrap") - hist += xp.bincount(xy, weights=weights, minlength=minlength).reshape(nbins) - else: - hist = xp.bincount(xy, minlength=minlength).reshape(nbins) - return hist - - def _get_thetas_all(self, v1, v2, deg=True): - """ - get angles between all vectors, outer product style - """ - xp = self._xp - v11 = self._norm_vecs(v1) - v21 = self._norm_vecs(v2) - mmul = xp.transpose(xp.matmul(v11, xp.transpose(v21, (0, 2, 1))), (0, 2, 1)) - theta = xp.arccos(xp.clip(mmul, -1.0, 1.0)) - if deg: - theta = xp.rad2deg(theta) - return theta - - def _norm_vecs(self, v): - xp = self._xp - if xp.ndim(v) == 1: - return v / xp.sqrt(xp.sum(v**2, axis=-1))[..., None] - mags = xp.sqrt(xp.sum(v**2, axis=-1)) - bads = xp.where(mags == 0) - mags[bads] = 1 - normed = v / mags[..., None] - normed[bads] = 0 - return normed diff --git a/src/quantem/diffraction/lattices.py b/src/quantem/diffraction/lattices.py index bfddddeb9..e7276f1a0 100644 --- a/src/quantem/diffraction/lattices.py +++ b/src/quantem/diffraction/lattices.py @@ -8,10 +8,12 @@ - honeycomb (graphene-like, 2-atom basis; called "hexagonal" informally) - decagonal (10-fold quasilattice via the de Bruijn pentagrid method) -plus kinematic diffraction patterns of 3D structures (cluster_patterns). +plus kinematic diffraction patterns of random clusters cut from 3D structures +(random_clusters, cluster_patterns). -All positions are computed in pixels with (row, col) ordering; bond lengths -and atom widths are specified in Angstroms and converted with pixel_size_ang. +The 2D lattice positions are computed in pixels with (row, col) ordering; bond +lengths and atom widths are specified in Angstroms and converted with +pixel_size_ang. The cluster functions work in Angstroms. """ import matplotlib.pyplot as plt @@ -476,24 +478,30 @@ def cluster_patterns(atoms, n_patterns, n_px=256, q_max=2.5, r_cluster=None, Returns ------- - patterns : (n_patterns, n_px, n_px) float32 intensities, q = 0 at n_px // 2. - dq : float, pixel size in 1/A. + Dataset4dstem of shape (n_patterns, 1, n_px, n_px), calibrated in 1/A, + with q = 0 at pixel (n_px // 2, n_px // 2). """ + from quantem.core.datastructures import Dataset4dstem from quantem.diffraction.wk_scattering_factors import compute_WK_factor pix = 1.0 / (4.0 * q_max) n_big = 2 * n_px dq = 1.0 / (n_big * pix) - qx = (torch.arange(n_big, dtype=torch.float64) - n_big // 2) * dq + sigma, half = 1.5, 6 # Gaussian atom width and patch half-width (px) + r_cluster = max_cluster_radius(atoms) if r_cluster is None else min(r_cluster, max_cluster_radius(atoms)) + if r_cluster + (half + 1) * pix > 0.5 * n_big * pix: + raise ValueError( + f"r_cluster = {r_cluster:.1f} A does not fit the render grid of half-width " + f"{0.5 * n_big * pix:.1f} A = n_px / (4 q_max); increase n_px or reduce r_cluster." + ) + qx = (torch.arange(n_px, dtype=torch.float64) - n_px // 2) * dq QX, QY = torch.meshgrid(qx, qx, indexing="ij") Q = torch.hypot(QX, QY) - sigma, half = 1.5, 6 # Gaussian atom width and patch half-width (px) gaussian = torch.exp(-2 * np.pi**2 * (sigma * pix) ** 2 * Q**2) crop = slice(n_big // 2 - n_px // 2, n_big // 2 + n_px // 2) species = np.unique(atoms.numbers) filters = { - z: (torch.from_numpy(compute_WK_factor(Q.numpy().ravel(), int(z), voltage, include_core=False, - include_phonon=False).real).reshape(Q.shape) / gaussian)[crop, crop] + z: torch.from_numpy(compute_WK_factor(Q.numpy().ravel(), int(z), voltage).real).reshape(Q.shape) / gaussian for z in species } @@ -525,7 +533,22 @@ def cluster_patterns(atoms, n_patterns, n_px=256, q_max=2.5, r_cluster=None, intensity = torch.nn.functional.conv1d(intensity[:, None, :], kernel, padding=pad)[:, 0, :] intensity = torch.nn.functional.conv1d(intensity.T[:, None, :], kernel, padding=pad)[:, 0, :].T patterns[k] = intensity - return patterns.numpy(), dq + return Dataset4dstem.from_array( + patterns.numpy()[:, None], + origin=(0, 0, -(n_px // 2) * dq, -(n_px // 2) * dq), + sampling=(1, 1, dq, dq), + units=["pixels", "pixels", "A^-1", "A^-1"], + signal_units="intensity", + ) + + +def max_cluster_radius(atoms): + """Half the smallest distance between opposite faces of the periodic cell: + the largest sphere that contains no periodic image twice.""" + cell = np.asarray(atoms.cell) + volume = abs(np.linalg.det(cell)) + heights = [volume / np.linalg.norm(np.cross(cell[(i + 1) % 3], cell[(i + 2) % 3])) for i in range(3)] + return 0.5 * min(heights) def random_clusters(atoms, n_clusters, r_cluster=None, seed=0, random_orientation=True): @@ -534,13 +557,12 @@ def random_clusters(atoms, n_clusters, r_cluster=None, seed=0, random_orientatio structure, each with a random centre and rotated to a random orientation (the beam is along z). With random_orientation=False the cell axes are kept, so the beam is along the cell's z axis. The same seed gives the - clusters of cluster_patterns. - Clusters use the minimum image about their centre, so r_cluster is capped - at half the shortest cell length and no atom appears twice. + clusters of cluster_patterns. r_cluster is capped at max_cluster_radius, + so no atom appears twice; any cell shape works. """ - cell = torch.as_tensor(atoms.cell.lengths()) - pos0 = torch.as_tensor(atoms.get_positions()) - r_max = 0.5 * float(cell.min()) + cell = torch.as_tensor(np.asarray(atoms.cell), dtype=torch.float64) # rows are the cell vectors + frac0 = torch.as_tensor(atoms.get_scaled_positions(wrap=True), dtype=torch.float64) + r_max = max_cluster_radius(atoms) r_cluster = r_max if r_cluster is None else min(r_cluster, r_max) gen = torch.Generator().manual_seed(seed) for _ in range(n_clusters): @@ -551,8 +573,10 @@ def random_clusters(atoms, n_clusters, r_cluster=None, seed=0, random_orientatio torch.stack([2 * (x * y + w * z), 1 - 2 * (x * x + z * z), 2 * (y * z - w * x)]), torch.stack([2 * (x * z - w * y), 2 * (y * z + w * x), 1 - 2 * (x * x + y * y)]), ]) - d = pos0 - torch.rand(3, generator=gen, dtype=torch.float64) * cell - d -= cell * torch.round(d / cell) # minimum image about the centre + # minimum image about a random centre, in fractional coordinates: within r_max of + # the centre every fractional offset is at most 1/2, so rounding picks the right image + frac = frac0 - torch.rand(3, generator=gen, dtype=torch.float64) + d = (frac - torch.round(frac)) @ cell keep = torch.linalg.norm(d, dim=1) <= r_cluster pos = d[keep] @ rot.T if random_orientation else d[keep] yield pos.numpy(), atoms.numbers[keep.numpy()] diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index c38d05d51..1422f53b3 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -2,13 +2,11 @@ import torch import numpy as np from numpy.typing import NDArray -from scipy.special import eval_legendre, spherical_jn -from numpy.polynomial.legendre import legval +from scipy.special import spherical_jn from quantem.core.datastructures.dataset4dstem import Dataset4dstem from quantem.core.datastructures.polar4dstem import Polar4dstem from quantem.core.io.serialize import AutoSerialize -from quantem.core.io.serialize import load from quantem.diffraction.polar_transform import ( as_dataset4dstem, find_origin_angular_grid, @@ -26,21 +24,26 @@ class PairAngleDistributionFunction(AutoSerialize): 1. find_origin_angular_grid(ds) 2. polar_transform(ds, origin_array=self.origin) 3. rescale_intensity(self.polar, rho=1, fq=1) - 4. compute_avg_angular_correlation(self.polar_rescaled) - 5. subtract_angular_mean(self.ang_corr) + 4. compute_avg_angular_correlation(rescaled intensity) + 5. subtract_angular_median(self.ang_corr) 6. extract_Bl_matrices(self.ang_corr_corrected) 7. transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1]) - 8. reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], self.ds.shape[0] * self.ds.shape[1]) + 8. reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], Na=1); the overall scale is arbitrary + polar_ds can instead be a polar dataset, or a list of them with the same + q axis, in which case steps 1-2 are skipped and the angular correlation is + averaged over the list (useful for more patterns than fit in memory). + fq may be a function of q (1/A), evaluated on the polar q axis self.q. + The real-space grid r = r_min, r_min + r_step, ... includes r_max. """ def __init__(self, ds=None, origin: NDArray | None = None, - polar_ds: Polar4dstem | None = None, + polar_ds: Polar4dstem | list[Polar4dstem] | None = None, ang_corr: torch.Tensor | None = None, Bl_mats = None, rho: float = 1.0, - fq: NDArray | torch.Tensor | float | None = None, + fq=None, l_max: int = 40, r_min: float = 0.0, r_max: float = 20.0, @@ -51,21 +54,31 @@ def __init__(self, # accept a single 2D pattern, a 3D stack, or a 4D-STEM dataset self.ds = as_dataset4dstem(ds) if ds is not None else None - self.origin = origin if origin is not None else find_origin_angular_grid(ds) - self.polar = polar_ds if polar_ds is not None else polar_transform(ds, origin_array=self.origin) + if polar_ds is None: + self.origin = origin if origin is not None else find_origin_angular_grid(self.ds) + polar_ds = polar_transform(self.ds, origin_array=self.origin) + else: + self.origin = origin + polars = list(polar_ds) if isinstance(polar_ds, (list, tuple)) else [polar_ds] + self.polar = polars[0] + # radial q calibration of the polar dataset: bin i sits at q_min + i * dq + dq = float(np.asarray(self.polar.sampling)[3]) + q_min = float(np.asarray(self.polar.origin)[3]) + self.q = q_min + np.arange(self.polar.shape[-1]) * dq + if callable(fq): + fq = fq(self.q) # TODO: look up rho and fq from sample identity when not provided - self.polar_rescaled = self.rescale_intensity(self.polar, rho=rho, fq=fq) - - self.ang_corr = ang_corr if ang_corr is not None else self.compute_avg_angular_correlation(self.polar_rescaled) + if ang_corr is None: + ang_corr = sum( + self.compute_avg_angular_correlation(self.rescale_intensity(p, rho=rho, fq=fq)) for p in polars + ) / len(polars) + self.ang_corr = ang_corr self.ang_corr_corrected = self.subtract_angular_median(self.ang_corr) self.Bl_mats = Bl_mats if Bl_mats is not None else self.extract_Bl_matrices(self.ang_corr_corrected, l_max=l_max) - # radial q calibration of the polar dataset: bin i sits at q_min + i * dq - dq = float(np.asarray(self.polar.sampling)[3]) - q_min = float(np.asarray(self.polar.origin)[3]) self.real_Bl_mats = self.transform_to_real_space(self.Bl_mats[0], self.Bl_mats[1], dq=dq, q_min=q_min, - r_min=r_min, r_max=r_max, r_step=r_step) - self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 20, l_taper=l_taper) # TODO: determine atoms in beam + r_min=r_min, r_max=r_max + 0.5 * r_step, r_step=r_step) + self.padf = self.reconstruct_PADF(self.real_Bl_mats, self.Bl_mats[1], 1, l_taper=l_taper) @staticmethod def rescale_intensity(data: Polar4dstem | Dataset4dstem | None = None, @@ -97,7 +110,7 @@ def rescale_intensity(data: Polar4dstem | Dataset4dstem | None = None, intensity = data.tensor.to(dtype=torch.float64) if fq is None: fq2 = 1.0 - elif isinstance(fq, (int, float)): + elif np.ndim(fq) == 0: fq2 = float(fq) ** 2 else: fq_t = torch.as_tensor(np.asarray(fq), dtype=torch.float64) @@ -111,11 +124,6 @@ def rescale_intensity(data: Polar4dstem | Dataset4dstem | None = None, rescaled_intensity /= rescaled_intensity.mean() return rescaled_intensity - # phi_0 is not measureable, make a function to fit. (edit: Maybe not necessary) - def fit_phi_0(self): - pass - - @staticmethod def compute_avg_angular_correlation(data): """ @@ -175,7 +183,7 @@ def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05, sin_weight=True, # for each l: # build the linear system relating C to B_l(q, q') # solve it by SVD - # Ignore odd l-terms, Friedel symmetry? + # even l only: a single kinematic pattern is Friedel symmetric # 5% SVD cutoff Nphi, Nq, Nqp = C_avg.shape dphi = torch.linspace(0, 2 * torch.pi, Nphi + 1, dtype=torch.float64)[:-1] # Ranges from [0, 2pi) @@ -188,7 +196,7 @@ def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05, sin_weight=True, # Build matrix L = l_values.reshape(1, Nl) X = cos_dphi.reshape(Nphi, 1) - leg_matrix = eval_legendre(L, X) # Shape due to broadcasting (Nphi, Nl) + leg_matrix = torch.special.legendre_polynomial_p(X, L.to(torch.float64)) # (Nphi, Nl) by broadcasting # per-angle fit weight: sqrt|sin| (sin_weight), zero within theta_exclude of 0/360 deg w = torch.sqrt(torch.abs(torch.sin(dphi))) if sin_weight else torch.ones_like(dphi) @@ -208,8 +216,6 @@ def extract_Bl_matrices(self, C_avg, l_max=40, sv_cutoff=0.05, sin_weight=True, return B_flat.reshape(Nl, Nq, Nqp), l_values - # TODO: Compare each function to the martin code to see the difference/similarity or understand the repo better - def transform_to_real_space(self, Bl_mats, l_values, dq=0.01, q_min=0.0, r_min=0.0, r_max=20.0, r_step=0.02): """ @@ -238,9 +244,9 @@ def transform_to_real_space(self, Bl_mats, l_values, dq=0.01, q_min=0.0, self.r = r.numpy() real_Bl = torch.zeros((Bl_mats.shape[0], r.shape[0], r.shape[0]), dtype=torch.float64) + arg = 2 * torch.pi * torch.outer(r, q) # Shape len(r) x len(q) for l in range(len(l_values)): Bl = Bl_mats[l].to(dtype=torch.float64) # The corresponding q x q' matrix - arg = 2 * torch.pi * torch.outer(r, q) # Shape len(r) x len(q) jl = torch.from_numpy(spherical_jn(l_values[l], arg)).to(dtype=torch.float64) # Representing DSBT (eq 12) as a transformation matrix "sbessel", @@ -258,8 +264,8 @@ def reconstruct_PADF(self, real_Bl, l_values, Na, per_theta=True, l_taper=False) - Sum Pl(cos theta) times B_l() over all l - Multiply by n_alpha * 2 pi - NOTE: Theta will go from 0 to pi - EDIT: Na should be number of atoms not number of dps + Theta goes from 0 to pi in 180 steps. Na scales the result; with the + unit-mean intensity normalization the overall scale is arbitrary. per_theta : bool The Legendre sum is the real-space correlation C(r, r', cos theta) @@ -275,14 +281,12 @@ def reconstruct_PADF(self, real_Bl, l_values, Na, per_theta=True, l_taper=False) theta = np.linspace(0, np.pi, 180) self.theta = theta self.theta_deg = np.degrees(theta) - cos_theta = np.cos(theta) + cos_theta = torch.cos(torch.as_tensor(theta, dtype=torch.float64)) chosen_l_values = l_values[1:] # Sum over all l for l in range(len(chosen_l_values)): # skipping l = 0 - coeffs = np.zeros(chosen_l_values[-1] + 1) - coeffs[chosen_l_values[l]] = 1 - Pl = torch.tensor(legval(cos_theta, coeffs)) + Pl = torch.special.legendre_polynomial_p(cos_theta, int(chosen_l_values[l])) Bl = real_Bl[l + 1] * weights[l + 1] # skipping l = 0 padf += Bl[:, :, np.newaxis] * Pl[np.newaxis, np.newaxis, :] @@ -341,7 +345,7 @@ def plot_g2_g3( Display weighting exponent; each panel is multiplied by r^(2 * r_display_power). 0 plots the raw values. r_max_display : float or None - Upper limit of the radial axes; defaults to min(8 A, r.max()). + Upper limit of the radial axes; defaults to r.max(). r_search_min : float Ignore r below this value when auto-locating the g2 peak (excludes the r ~ 0 reconstruction artifacts). @@ -404,7 +408,7 @@ def plot_g2_g3( # display weighting and color limits if r_max_display is None: - r_max_display = float(min(8.0, r[-1])) + r_max_display = float(r[-1]) weight = r ** (2 * r_display_power) g2_disp = g2 * weight g3_disp = (g3_map * weight[:, None]).T # (Ntheta, Nr') @@ -526,7 +530,7 @@ def plot_angular_correlation( nearest q (1/Angstroms), against q' (x-axis) and dphi (y-axis). """ C = self.ang_corr_corrected.numpy() - q_axis = float(np.asarray(self.polar.origin)[3]) + np.arange(C.shape[1]) * float(np.asarray(self.polar.sampling)[3]) + q_axis = self.q iq = int(np.argmin(np.abs(q_axis - q))) dphi = np.arange(C.shape[0]) * 360.0 / C.shape[0] M = C[:, iq, :] @@ -674,14 +678,14 @@ def padf_from_clusters( r_t = torch.as_tensor(np.asarray(r), dtype=torch.float64) dr = float(r_t[1] - r_t[0]) n_r = r_t.numel() - l_values = torch.arange(0, l_max, 2) + l_values = torch.arange(2, l_max, 2) # l = 0 is dropped, as the PADF's median subtraction does shell = 4 * np.pi * torch.clamp(r_t, min=0.5 * dr) ** 2 * dr Cl = torch.zeros((len(l_values), n_r, n_r), dtype=torch.float64) for pos in clusters: pos = torch.as_tensor(np.asarray(pos), dtype=torch.float64) d = (pos[None, :, :] - pos[:, None, :]).reshape(-1, 3) dist = torch.linalg.norm(d, dim=1) - keep = (dist > 0) & (dist < float(r_t[-1])) + keep = (dist > 0) & (dist >= float(r_t[0])) & (dist < float(r_t[-1])) d, dist = d[keep], dist[keep] cos_t = torch.clamp(d[:, 2] / dist, -1, 1) sin_t = torch.sqrt(1 - cos_t**2) @@ -699,10 +703,8 @@ def padf_from_clusters( theta = torch.deg2rad(torch.as_tensor(np.asarray(theta_deg), dtype=torch.float64)) out = torch.zeros((n_r, n_r, theta.numel()), dtype=torch.float64) for k, l in enumerate(l_values.tolist()): - if l == 0: - continue C = Cl[k] if q is None else _bandlimit_order(Cl[k], l, r, q) if l_taper: - C = C * float(order_taper(l, l_max)) + C = C * float(order_taper(l, int(l_values[-1]) + 2)) # same as reconstruct_PADF out += C[:, :, None] * torch.special.legendre_polynomial_p(torch.cos(theta), l)[None, None, :] return (out * torch.abs(torch.sin(theta))[None, None, :]).numpy() diff --git a/src/quantem/diffraction/padf2d.py b/src/quantem/diffraction/padf2d.py index b9ee468b9..064ad7def 100644 --- a/src/quantem/diffraction/padf2d.py +++ b/src/quantem/diffraction/padf2d.py @@ -11,7 +11,7 @@ read directly from the angular FFT - no basis inversion needed) C_n(r, r') = (2 pi)^2 int int q q' J_n(2 pi q r) J_n(2 pi q' r') - C_n(q, q') dq dq' + C_n(q, q') dq dq' / q_max^4 Theta(r, r', dtheta) = sum_n C_n(r, r') e^{i n dtheta} @@ -55,9 +55,9 @@ class PairAngleDistributionFunction2D: q_min : float q of the first radial bin (from the polar dataset when available). r_min, r_max, r_step : float - Real-space grid, in the reciprocal units of q. - fq : scalar or (N_q,) array or None - Atomic form factor f(q) per radial bin; the intensity is divided by + Real-space grid (including r_max), in the reciprocal units of q. + fq : scalar, (N_q,) array, callable or None + Atomic form factor f(q) per radial bin, or a function of q (1/A); the intensity is divided by f(q)^2 (same eq-7 rescaling as the 3D pipeline). Leaving the atom- shape damping in shrinks the effective q range and makes the real-space maps broad and oscillatory. Floor small values before @@ -93,41 +93,41 @@ def __init__(self, polar, n_max: int = 60, dq: float | None = None, self.n_max = int(n_max) self.dq = float(dq) self.q = q_min + np.arange(n_q) * self.dq + if callable(fq): + fq = fq(self.q) data = tensor.reshape(-1, n_phi, n_q) if fq is not None: fq_t = torch.as_tensor(np.broadcast_to(np.asarray(fq, dtype=np.float64), (n_q,)).copy()) data = data / fq_t[None, None, :] ** 2 if q_taper > 0: - taper = torch.ones(n_q, dtype=torch.float64) - i0 = int((1.0 - q_taper) * n_q) - ramp = np.arange(n_q - i0) / max(n_q - i0, 1) - taper[i0:] = torch.from_numpy(0.5 * (1 + np.cos(np.pi * ramp))) - data = data * taper[None, None, :] + data = data * _q_taper(n_q, q_taper)[None, None, :] if normalize_mean: data = data / data.mean() n_patterns = data.shape[0] # circular harmonic correlation matrices C_n(q, q'), accumulated - # directly from the angular FFT (per-radian normalization) + # directly from the angular FFT (Fourier-series coefficients) Cn = torch.zeros((self.n_max + 1, n_q, n_q), dtype=torch.complex128) for start in range(0, n_patterns, batch_size): F = torch.fft.rfft(data[start:start + batch_size], dim=1) / n_phi F = F[:, : self.n_max + 1, :] # (b, n, q) Cn += torch.einsum("bnq,bnp->nqp", torch.conj(F), F) - self.Cn_q = (Cn / n_patterns).numpy() + Cn = Cn / n_patterns + self.Cn_q = Cn.numpy() # Hankel transform of order n on both q axes, nondimensionalized by # q_max^2 per axis (2D quadrature measure q dq / q_max^2) - r = np.arange(r_min, r_max, r_step) + r = np.arange(r_min, r_max + 0.5 * r_step, r_step) # includes r_max self.r = r q_max = self.q[-1] w = 2.0 * np.pi * self.q * self.dq / q_max**2 # (Nq,) quadrature weight arg = 2.0 * np.pi * np.outer(r, self.q) # (Nr, Nq) - self.Cn_r = np.zeros((self.n_max + 1, r.size, r.size), dtype=np.complex128) + Cn_r = torch.zeros((self.n_max + 1, r.size, r.size), dtype=torch.complex128) for n in range(self.n_max + 1): - K = jv(n, arg) * w[None, :] - self.Cn_r[n] = K @ self.Cn_q[n] @ K.T + K = torch.from_numpy(jv(n, arg) * w[None, :]).to(torch.complex128) # jv is not in torch + Cn_r[n] = K @ Cn[n] @ K.T + self.Cn_r = Cn_r.numpy() def reconstruct(self, n_theta: int = 360, include_n0: bool = False, n_taper: bool = False): """ @@ -149,20 +149,22 @@ def reconstruct(self, n_theta: int = 360, include_n0: bool = False, n_taper: boo n_vals = np.arange(n0, self.n_max + 1) w = order_taper(n_vals, self.n_max + 1) if n_taper else np.ones(n_vals.size) # Hermitian sum: C_{-n} = conj(C_n) -> 2 Re for n > 0 - E = np.exp(1j * np.outer(n_vals, theta)) * w[:, None] # (Nn, n_theta) - padf = 2.0 * np.real(np.einsum("nij,nt->ijt", self.Cn_r[n0:], E)) + E = torch.from_numpy(np.exp(1j * np.outer(n_vals, theta)) * w[:, None]) # (Nn, n_theta) + padf = 2.0 * torch.real(torch.einsum("nij,nt->ijt", torch.from_numpy(self.Cn_r[n0:]), E)).numpy() if include_n0: padf -= np.real(self.Cn_r[0])[:, :, None] # counted twice above self.theta_deg = np.degrees(theta) return self.theta_deg, padf - def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, - theta_max: float = 360.0, r_display_power: int = 1, - title=None, axsize: tuple[float, float] = (5.4, 3.6), - returnfig: bool = False, padf=None, n_taper: bool = False): + def plot_diagonal(self, r_max_display: float | None = None, n_theta: int = 360, + theta_max: float = 360.0, r_display_power: float = 0.5, + title=None, axsize: tuple[float, float] = (5, 3.6), + returnfig: bool = False, padf=None, n_taper: bool = False, + subtract_median: bool = True): """ - Map of the r = r' diagonal vs relative angle, weighted by - r^r_display_power (r^1 by default), zero-centered RdBu_r. + Map of the r = r' diagonal vs relative angle, weighted for display by + (r r')^r_display_power as in PairAngleDistributionFunction.simple_plot + (r^1 on the diagonal by default), zero-centered RdBu_r. theta_max = 180 shows the folded view (sufficient for Friedel-symmetric data); 360 shows the full relative angle available when odd harmonics are present. Color limits are set @@ -170,7 +172,11 @@ def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, artifacts do not compress the scale. padf: an (Nr, Nr, Ntheta) volume on this r grid and angles 360 k / Ntheta (e.g. a model from padf2d_from_clusters), or a list of them drawn in separate panels, - to plot instead of this reconstruction. + to plot instead of this reconstruction. subtract_median subtracts, + for display, the median over the interior angles at each r: the + self-correlation bands at 0 and 180 deg otherwise offset every + interior angle (the 2D measure has no sin(theta) factor to suppress + them). """ if padf is None: vols = [self.reconstruct(n_theta=n_theta, n_taper=n_taper)[1]] @@ -178,6 +184,7 @@ def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, vols = list(padf) if isinstance(padf, (list, tuple)) else [padf] titles = title if isinstance(title, (list, tuple)) else [title] * len(vols) r = self.r + r_max_display = r.max() if r_max_display is None else r_max_display rs = r <= r_max_display r_inner = r[rs] <= 0.92 * r_max_display @@ -186,15 +193,17 @@ def plot_diagonal(self, r_max_display: float = 8.0, n_theta: int = 360, for ax, vol, t in zip(axs[0], vols, titles): theta_deg = 360.0 * np.arange(vol.shape[2]) / vol.shape[2] ts = theta_deg <= theta_max + 1e-9 - disp = (np.einsum("iik->ik", vol)[rs][:, ts] * (r[rs] ** r_display_power)[:, None]).T + disp = (np.einsum("iik->ik", vol)[rs][:, ts] * (r[rs] ** (2 * r_display_power))[:, None]).T interior = (theta_deg[ts] % 180 > 15) & (theta_deg[ts] % 180 < 165) + if subtract_median: + disp = disp - np.median(disp[interior], axis=0, keepdims=True) vmax = np.quantile(np.abs(disp[np.ix_(interior, r_inner)]), 0.999) im = ax.pcolormesh(r[rs], theta_deg[ts], disp, cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto") ax.set_xlabel("r = r' (Å)") ax.set_ylabel("$\\Delta\\theta$ (deg)") ax.set_yticks(np.arange(0, theta_max + 1, 45)) - fig.colorbar(im, ax=ax, label=f"$\\Theta_{{2D}} \\cdot r^{{{r_display_power}}}$") + fig.colorbar(im, ax=ax, label=f"$\\Theta_{{2D}} \\cdot r^{{{2 * r_display_power:g}}}$") if t is not None: ax.set_title(t, fontsize=10) if returnfig: @@ -234,7 +243,7 @@ def padf2d_from_clusters(clusters_xy, r, n_max: int = 60, n_theta: int = 360, xy = torch.as_tensor(np.asarray(xy)[:, :2], dtype=torch.float64) d = (xy[None, :, :] - xy[:, None, :]).reshape(-1, 2) dist = torch.hypot(d[:, 0], d[:, 1]) - keep = (dist > 0) & (dist < r[-1]) + keep = (dist > 0) & (dist >= r[0]) & (dist < r[-1]) d, dist = d[keep], dist[keep] phi = torch.atan2(d[:, 1], d[:, 0]) # linear binning onto the r grid @@ -249,10 +258,8 @@ def padf2d_from_clusters(clusters_xy, r, n_max: int = 60, n_theta: int = 360, if q is not None: q = np.asarray(q, dtype=np.float64) - dq, n_q = q[1] - q[0], q.size - taper = np.ones(n_q) - i0 = int((1.0 - q_taper) * n_q) - taper[i0:] = 0.5 * (1 + np.cos(np.pi * np.arange(n_q - i0) / max(n_q - i0, 1))) + dq = q[1] - q[0] + taper = _q_taper(q.size, q_taper).numpy() for k in range(n_max): Jn = torch.from_numpy(jv(k + 1, 2 * np.pi * np.outer(q, r))) # (Nq, Nr), not in torch fwd = (2 * np.pi * Jn * torch.from_numpy(r * dr)[None, :] @@ -266,3 +273,12 @@ def padf2d_from_clusters(clusters_xy, r, n_max: int = 60, n_theta: int = 360, E = E * torch.from_numpy(order_taper(n_vals.numpy(), n_max + 1))[:, None] padf = 2.0 * torch.real(torch.einsum("nij,nt->ijt", Cn, E)) return np.degrees(theta.numpy()), padf.numpy() + + +def _q_taper(n_q: int, q_taper: float) -> torch.Tensor: + """Cosine taper of the top q_taper fraction of n_q radial bins to zero.""" + taper = torch.ones(n_q, dtype=torch.float64) + i0 = int((1.0 - q_taper) * n_q) + ramp = torch.arange(n_q - i0, dtype=torch.float64) / max(n_q - i0, 1) + taper[i0:] = 0.5 * (1 + torch.cos(torch.pi * ramp)) + return taper diff --git a/src/quantem/diffraction/polar.py b/src/quantem/diffraction/polar.py index dab69df5c..96898a954 100644 --- a/src/quantem/diffraction/polar.py +++ b/src/quantem/diffraction/polar.py @@ -493,18 +493,12 @@ def fit_bg_batched( fk: NDArray | None = None, bg_weight: str = "k/I", ) -> tuple[torch.Tensor, torch.Tensor]: - """Fit B(k) for a stack of N radial curves at once (vectorized LM). + """Fit B(k) for a stack of N radial curves at once. The fit minimises ``sum_k [w(k) * (B(k) - I(k))]^2`` over k in - [kmin, kmax], with the residual weight - - w(k) = taper(k) / (k_end - 0.9 * k + dk) - - Here ``taper`` rises as sin² from 0 at kmin to 1 at kmin + 0.25 1/A - (points where it is below 1e-4 get zero weight), and ``k_end`` is the - last k of the fit range. The weighting scheme follows the background fit - in py4DSTEM. All N curves are fit together in a single solve rather - than one at a time. + [kmin, kmax], by batched Levenberg-Marquardt on the log of the + (positive) parameters, or by linear least squares for "known". All N + curves are fit together. Parameters ---------- @@ -513,9 +507,6 @@ def fit_bg_batched( kmin, kmax Fit range. bg_model - "gaussian": B(k) = c + i0 exp(-k^2 / 2 s0^2) + i1 exp(-k^4 / 2 s1^4), - the py4DSTEM model, which falls off too fast to follow the atomic - scattering factors at high k. "power" (default): B(k) = c + sum_i a_i (1 + k^2 / s_i^2)^(-p_i), with num_power_laws (1 or 2) terms. Every parameter is positive, so the single-scattering term f(k) = B(k) - c is positive and decreases @@ -523,16 +514,21 @@ def fit_bg_batched( scattering factors rather than exponentially. "known": B(k) = N fk(k)^2 + c, the standard normalization by the composition-averaged scattering factor, for a known composition. - Only N >= 0 and c >= 0 are fit (weighted linear least squares). + Only N >= 0 and c >= 0 are fit. + "gaussian": B(k) = c + i0 exp(-k^2 / 2 s0^2) + i1 exp(-k^4 / 2 s1^4), + the py4DSTEM model, which falls off too fast to follow the atomic + scattering factors at high k. fk Mean atomic scattering factor on the k axis of the polar - data, required for bg_model="known". For several elements pass - sqrt(). + data, or a function of k (1/A), required for bg_model="known". + For several elements pass sqrt(). bg_weight - Residual weighting of the fit. "k/I" (default) weights by k / I(k), - the error in F(k) = k [I(k) - B(k)] / f(k)^2 for B close to I. "k" - weights by k. "default" (py4DSTEM) divides by a line that falls - with k. All use the low-k taper. + Residual weight w(k), always times a sin² taper that rises from 0 at + kmin to 1 at kmin + 0.25 1/A to suppress the central-beam tail. + "k/I" (default): k / I(k), the error in F(k) = k [I(k) - B(k)] / f(k) + for B close to I; I(k) is floored at 1e-3 of its median so empty + bins (e.g. a beam stop) cannot dominate. "k": k. + "py4dstem": 1 / (k_end - 0.9 k + dk), with k_end the end of the fit range. Returns ------- @@ -540,235 +536,82 @@ def fit_bg_batched( Each (N, Nk) float32: fitted background and f(k) = B(k) - c per row. """ k = torch.as_tensor(self.qq, dtype=torch.float64, device=self.device) - if kmin is None: - kmin = float(k.min()) - if kmax is None: - kmax = float(k.max()) - k2 = k**2 + kmin = float(k.min()) if kmin is None else kmin + kmax = float(k.max()) if kmax is None else kmax fit_mask = (k >= kmin) & (k <= kmax) - k2_fit = k2[fit_mask] # (Nf,) k_fit = k[fit_mask] - dk = k[1] - k[0] - # Residual weights over the fit window (length Nf): a sin^2 taper over the - # first 0.25 1/A above kmin suppresses the central-beam tail, and dividing - # by a line that falls with k favours high k. - taper = torch.sin(0.5 * torch.pi * torch.clamp((k_fit - kmin) / 0.25, 0.0, 1.0)) ** 2 - taper = torch.where(taper > 1e-4, taper, 0.0) Ik = torch.as_tensor(Ik_stack, dtype=torch.float64, device=self.device) Ik_fit = Ik[:, fit_mask].clamp(min=1e-10) # (N, Nf) - # residual weights, one row per curve: (N, Nf) - if bg_weight == "default": - resid_weights = (taper / (k_fit[-1] - 0.9 * k_fit + dk)).expand_as(Ik_fit) + + taper = torch.sin(0.5 * torch.pi * torch.clamp((k_fit - kmin) / 0.25, 0.0, 1.0)) ** 2 + taper = torch.where(taper > 1e-4, taper, 0.0) + if bg_weight == "k/I": + floor = 1e-3 * Ik_fit.median(dim=1, keepdim=True).values + weights = taper * k_fit / torch.maximum(Ik_fit, floor) elif bg_weight == "k": - resid_weights = (taper * k_fit).expand_as(Ik_fit) - elif bg_weight == "k/I": - resid_weights = taper * k_fit / Ik_fit + weights = (taper * k_fit).expand_as(Ik_fit) + elif bg_weight == "py4dstem": + weights = (taper / (k_fit[-1] - 0.9 * k_fit + (k[1] - k[0]))).expand_as(Ik_fit) else: - raise ValueError(f"bg_weight must be 'default', 'k' or 'k/I', got {bg_weight!r}") - resid_weights = resid_weights / resid_weights.amax(dim=1, keepdim=True) - n = Ik_fit.shape[0] # number of Ik in batch + raise ValueError(f"bg_weight must be 'k/I', 'k' or 'py4dstem', got {bg_weight!r}") + weights = weights / weights.amax(dim=1, keepdim=True) # (N, Nf), one row per curve - if bg_model == "power": - return self._fit_bg_power(k, k_fit, Ik_fit, resid_weights, num_power_laws) if bg_model == "known": if fk is None: raise ValueError("bg_model='known' needs fk, the scattering factor on the k axis") + fk = fk(np.asarray(self.qq, dtype=float)) if callable(fk) else fk f2 = torch.as_tensor(np.asarray(fk), dtype=torch.float64, device=self.device) ** 2 basis = torch.stack([f2[fit_mask], torch.ones_like(k_fit)], dim=1) # (Nf, 2) - A = basis[None, :, :] * resid_weights[:, :, None] # (N, Nf, 2) - coef = torch.linalg.lstsq(A, (Ik_fit * resid_weights)[:, :, None]).solution[:, :, 0] # (N, 2) + coef = torch.linalg.lstsq( + basis[None] * weights[:, :, None], (Ik_fit * weights)[:, :, None] + ).solution[:, :, 0] # (N, 2) c = coef[:, 1].clamp(min=0.0) # refit the scale alone where the constant was clamped to zero - w2f = resid_weights**2 * f2[fit_mask] + w2f = weights**2 * f2[fit_mask] scale = torch.where( - coef[:, 1] < 0, - (Ik_fit * w2f).sum(1) / (w2f * f2[fit_mask]).sum(1), - coef[:, 0], + coef[:, 1] < 0, (Ik_fit * w2f).sum(1) / (w2f * f2[fit_mask]).sum(1), coef[:, 0] ).clamp(min=1e-30) f = scale[:, None] * f2[None, :] return (f + c[:, None]).to(dtype=torch.float32), f.to(dtype=torch.float32) - if bg_model != "gaussian": - raise ValueError(f"bg_model must be 'gaussian', 'power' or 'known', got {bg_model!r}") - - # Build Jacobian - # Initial guesses: constant = min(I), amplitudes = median(I) - min(I), widths = mean(k). - c0 = Ik_fit.amin(dim=1) # (N,) - amp = (Ik_fit.median(dim=1).values - c0).clamp(min=1e-10) # (N,) - sig = torch.full((n,), max(float(k.mean()), 1e-3), dtype=torch.float64, device=self.device) - init = torch.stack([c0.clamp(min=1e-10), amp, sig, amp, sig], dim=1) # (N, 5) - # exp(theta) = parameters ensures that they remain positive - theta = torch.log(init) - - def _rj(theta: torch.Tensor) -> tuple[torch.Tensor, torch.Tensor]: - """Batched residual (N, Nf) and analytic Jacobian (N, Nf, 5). - - Model B(k): - B(k) = c + i0 * E0 + i1 * E1 - where: - E0 = exp(-k^2 / (2 s0^2)) - E1 = exp(-k^4 / (2 s1^4)) - """ - c, i0, s0, i1, s1 = torch.exp(theta).unbind(dim=1) # each (N,) - E0 = torch.exp( - torch.clamp(-k2_fit[None, :] / (2.0 * s0[:, None] ** 2), min=-100.0, max=0.0) - ) - E1 = torch.exp( - torch.clamp( - -(k2_fit[None, :] ** 2) / (2.0 * s1[:, None] ** 4), min=-100.0, max=0.0 - ) - ) - B = c[:, None] + i0[:, None] * E0 + i1[:, None] * E1 - w = resid_weights # (N, Nf) residual weights - r = (B - Ik_fit) * w - t0 = i0[:, None] * E0 - t1 = i1[:, None] * E1 - jac = torch.stack( - [ - c[:, None] * w, - t0 * w, - t0 * (k2_fit[None, :] / s0[:, None] ** 2) * w, - t1 * w, - t1 * (2.0 * k2_fit[None, :] ** 2 / s1[:, None] ** 4) * w, - ], - dim=2, - ) - return r, jac - - def _loss(theta: torch.Tensor) -> torch.Tensor: - r, _ = _rj(theta) - return (r * r).sum(dim=1) # (N,) - - # Batched Levenberg-Marquardt, replaces scipy.curve_fit. - # recompute Jacobian every iteration and take one step, accepting - # per-curve where the loss improved. lamba is adapted per-curve - # over the course of fitting (decrease on accept toward Gauss-Newton, - # increase on reject toward gradient descent). Converged curves simply stop being updated. - lam = torch.ones(n, dtype=torch.float64, device=self.device) - loss = _loss(theta) - eye = 1e-12 * torch.eye(5, dtype=torch.float64, device=self.device) - max_log_step = 1.0 - for _ in range(200): # outer loop: recompute the Jacobian at the current theta - r, jac = _rj(theta) - JtJ = torch.einsum("nki,nkj->nij", jac, jac) # (N, 5, 5) - Jtr = torch.einsum("nki,nk->ni", jac, r) # (N, 5) - diag = torch.diagonal(JtJ, dim1=1, dim2=2).clamp(min=1e-12) # (N, 5) - theta_base = theta # all trial steps start from here this iter - prev_loss = loss - accepted = torch.zeros(n, dtype=torch.bool, device=self.device) - # inner loop: per-curve lambda search. increase damping and retry until - # each curve finds a downhill step - for _ in range(30): - A = JtJ + lam[:, None, None] * torch.diag_embed(diag) + eye - delta = torch.linalg.solve(A, Jtr) # (N, 5) - # shrink the step if largest component exceeds max_log_step - step_scale = (max_log_step / delta.abs().amax(dim=1).clamp(min=1e-30)).clamp( - max=1.0 - ) - theta_trial = theta_base - delta * step_scale[:, None] - loss_trial = _loss(theta_trial) - # accept improvements per-curve - improved = torch.isfinite(loss_trial) & (loss_trial < loss) & (~accepted) - theta = torch.where(improved[:, None], theta_trial, theta) - loss = torch.where(improved, loss_trial, loss) - accepted = accepted | improved - # Accepted curves relax lambda (toward Gauss-Newton), curves not accepted tighten it (toward gradient descent). - lam = torch.where( - improved, - (lam * 0.3).clamp(min=1e-12), - torch.where(~accepted, (lam * 3.0).clamp(max=1e12), lam), - ) - if bool(accepted.all()): - break - if not bool(accepted.any()): - break # no curve found a downhill step -> all converged / stuck - # Stop once every curve's relative improvement is negligible. - rel = (prev_loss - loss) / (prev_loss + 1e-30) - if float(rel.max()) < 1e-9: - break - # Evaluate B(k) over the full k-range (not just k_fit) for every curve - with torch.no_grad(): - c, i0, s0, i1, s1 = torch.exp(theta).unbind(dim=1) - E0 = torch.exp( - torch.clamp(-k2[None, :] / (2.0 * s0[:, None] ** 2), min=-100.0, max=0.0) - ) - E1 = torch.exp( - torch.clamp(-(k2[None, :] ** 2) / (2.0 * s1[:, None] ** 4), min=-100.0, max=0.0) - ) - bg = c[:, None] + i0[:, None] * E0 + i1[:, None] * E1 # (N, Nk) - f = (bg - c[:, None]).clamp(min=1e-10 * bg.amax(dim=1, keepdim=True)) - return bg.to(dtype=torch.float32), f.to(dtype=torch.float32) - - def _fit_bg_power(self, k, k_fit, Ik_fit, resid_weights, num_power_laws): - """Power-law background B(k) = c + sum_i a_i (1 + k^2 / s_i^2)^(-p_i), - fit by batched Levenberg-Marquardt on log-parameters (all positive).""" - if num_power_laws not in (1, 2): - raise ValueError("num_power_laws must be 1 or 2") - n = Ik_fit.shape[0] - k2_fit, k2 = k_fit**2, k**2 - - def model(theta, kk2): - # theta: (P,) log-parameters [c, a_1, s_1, p_1, (a_2, s_2, p_2)] - par = torch.exp(theta) - B = par[0] + 0 * kk2 - for i in range(num_power_laws): - a, s, pw = par[1 + 3 * i], par[2 + 3 * i], par[3 + 3 * i] - B = B + a * (1.0 + kk2 / s**2) ** (-pw) - return B - - def residual(theta, Ik_row, w_row): - return (model(theta, k2_fit) - Ik_row) * w_row - - jac_fn = torch.func.vmap(torch.func.jacrev(residual), in_dims=(0, 0, 0)) - res_fn = torch.func.vmap(residual, in_dims=(0, 0, 0)) - - # initial guesses: constant = min(I), a steep term near the central beam and a slower tail c0 = Ik_fit.amin(dim=1).clamp(min=1e-10) - amp = (Ik_fit[:, 0] - c0).clamp(min=1e-10) - cols = [c0] - for s0, p0 in [(0.3, 2.0), (1.0, 1.0)][:num_power_laws]: - cols += [amp / num_power_laws, torch.full_like(c0, s0), torch.full_like(c0, p0)] - theta = torch.log(torch.stack(cols, dim=1)) # (N, P) - n_par = theta.shape[1] - - def loss_fn(th): - r = res_fn(th, Ik_fit, resid_weights) - return (r * r).sum(dim=1) - - lam = torch.ones(n, dtype=torch.float64, device=self.device) - loss = loss_fn(theta) - eye = 1e-12 * torch.eye(n_par, dtype=torch.float64, device=self.device) - for _ in range(300): - r = res_fn(theta, Ik_fit, resid_weights) - jac = jac_fn(theta, Ik_fit, resid_weights) # (N, Nf, P) - JtJ = torch.einsum("nki,nkj->nij", jac, jac) - Jtr = torch.einsum("nki,nk->ni", jac, r) - diag = torch.diagonal(JtJ, dim1=1, dim2=2).clamp(min=1e-12) - theta_base, prev_loss = theta, loss - accepted = torch.zeros(n, dtype=torch.bool, device=self.device) - for _ in range(30): - delta = torch.linalg.solve(JtJ + lam[:, None, None] * torch.diag_embed(diag) + eye, Jtr) - step = (1.0 / delta.abs().amax(dim=1).clamp(min=1e-30)).clamp(max=1.0) - theta_trial = theta_base - delta * step[:, None] - loss_trial = loss_fn(theta_trial) - improved = torch.isfinite(loss_trial) & (loss_trial < loss) & (~accepted) - theta = torch.where(improved[:, None], theta_trial, theta) - loss = torch.where(improved, loss_trial, loss) - accepted = accepted | improved - lam = torch.where( - improved, - (lam * 0.3).clamp(min=1e-12), - torch.where(~accepted, (lam * 3.0).clamp(max=1e12), lam), - ) - if bool(accepted.all()): - break - if not bool(accepted.any()): - break - if float(((prev_loss - loss) / (prev_loss + 1e-30)).max()) < 1e-10: - break + if bg_model == "power": + if num_power_laws not in (1, 2): + raise ValueError("num_power_laws must be 1 or 2") + amp = (Ik_fit[:, 0] - c0).clamp(min=1e-10) + cols = [c0] # a steep term near the central beam and a slower tail + for s0, p0 in [(0.3, 2.0), (1.0, 1.0)][:num_power_laws]: + cols += [amp / num_power_laws, torch.full_like(c0, s0), torch.full_like(c0, p0)] + + def model(theta, kk): + par = torch.exp(theta) # [c, a_1, s_1, p_1, (a_2, s_2, p_2)] + B = par[0] + 0 * kk + for i in range(num_power_laws): + B = B + par[1 + 3 * i] * (1.0 + kk**2 / par[2 + 3 * i] ** 2) ** (-par[3 + 3 * i]) + return B + + elif bg_model == "gaussian": + amp = (Ik_fit.median(dim=1).values - c0).clamp(min=1e-10) + sig = torch.full_like(c0, max(float(k.mean()), 1e-3)) + cols = [c0, amp, sig, amp, sig] + + def model(theta, kk): + c, i0, s0, i1, s1 = torch.exp(theta) + E0 = torch.exp(torch.clamp(-(kk**2) / (2.0 * s0**2), min=-100.0, max=0.0)) + E1 = torch.exp(torch.clamp(-(kk**4) / (2.0 * s1**4), min=-100.0, max=0.0)) + return c + i0 * E0 + i1 * E1 + + else: + raise ValueError(f"bg_model must be 'power', 'known' or 'gaussian', got {bg_model!r}") + theta = _levenberg_marquardt( + lambda th, I_row, w_row: (model(th, k_fit) - I_row) * w_row, + torch.log(torch.stack(cols, dim=1)), + Ik_fit, + weights, + ) with torch.no_grad(): - bg = torch.stack([model(th, k2) for th in theta]) # (N, Nk) + bg = torch.stack([model(th, k) for th in theta]) # (N, Nk) f = (bg - torch.exp(theta[:, :1])).clamp(min=1e-10 * bg.amax(dim=1, keepdim=True)) return bg.to(dtype=torch.float32), f.to(dtype=torch.float32) @@ -1100,15 +943,15 @@ def damp_origin_oscillations( k = torch.from_numpy(np.asarray(self.qq).astype(np.float32)).to(device=self.device) dk = k[1] - k[0] # correct S(k) over the transformed (window) range, which can be wider than the bg fit range - k_fit_mask = (k >= self.kmin_window) & (k <= self.kmax_window) - k_fit = k[k_fit_mask] + k_win_mask = (k >= self.kmin_window) & (k <= self.kmax_window) + k_win = k[k_win_mask] ka, ra = torch.meshgrid(k, self._r, indexing="ij") # Restrict r to [0, r_cut] for the correction r_mask = (self._r >= 0.0) & (self._r <= r_cut) r_short = self._r[r_mask] - k_fit_scaled = k_fit * 2 * torch.pi - k2d_fit, r2d_fit = torch.meshgrid(k_fit_scaled, r_short, indexing="ij") + k_win_scaled = k_win * 2 * torch.pi + k2d_win, r2d_win = torch.meshgrid(k_win_scaled, r_short, indexing="ij") Sk_cor = self.Sk.clone() # the window does not change during the iteration @@ -1127,7 +970,7 @@ def damp_origin_oscillations( for _ in range(max_iter): # alpha and beta are the ideal and actual contributions to G(r) in the short-r range # from the current S(k) and G(r) - alpha, beta = self._compute_alpha_beta(k2d_fit, r2d_fit, G_iter[r_mask], r_short) + alpha, beta = self._compute_alpha_beta(k2d_win, r2d_win, G_iter[r_mask], r_short) # converge on the S(k) correction magnitude if beta_prev is not None: delta = float(torch.max(torch.abs(beta - beta_prev))) @@ -1135,7 +978,7 @@ def damp_origin_oscillations( break beta_prev = beta.clone() # Update S_cor(k) and G_cor - Sk_cor[k_fit_mask] = Sk_cor[k_fit_mask] - beta + rho0 * alpha + Sk_cor[k_win_mask] = Sk_cor[k_win_mask] - beta + rho0 * alpha Fk_win = k * (Sk_cor - 1.0) * wk * 2 * torch.pi G_iter = ( (2.0 / torch.pi) @@ -1569,3 +1412,55 @@ def _apply_xrange( if not np.any(m): raise ValueError("Requested plot range contains no data.") return x[m], y[m] + + +def _levenberg_marquardt(residual, theta, data, weights, max_iter: int = 200, tol: float = 1e-9): + """ + Batched Levenberg-Marquardt. residual(theta_row, data_row, weight_row) + returns one curve's weighted residual; theta is (N, P), one parameter row + per curve. The Jacobian comes from autodiff. Each curve keeps its own + damping, which falls toward Gauss-Newton when a step lowers its loss and + rises toward gradient descent when it does not; converged curves stop + moving. + """ + res_fn = torch.func.vmap(residual) + jac_fn = torch.func.vmap(torch.func.jacrev(residual)) + n, n_par = theta.shape + + def loss_fn(th): + r = res_fn(th, data, weights) + return (r * r).sum(dim=1) + + lam = torch.ones(n, dtype=theta.dtype, device=theta.device) + loss = loss_fn(theta) + eye = 1e-12 * torch.eye(n_par, dtype=theta.dtype, device=theta.device) + for _ in range(max_iter): + r = res_fn(theta, data, weights) + jac = jac_fn(theta, data, weights) # (N, Nf, P) + JtJ = torch.einsum("nki,nkj->nij", jac, jac) + Jtr = torch.einsum("nki,nk->ni", jac, r) + diag = torch.diagonal(JtJ, dim1=1, dim2=2).clamp(min=1e-12) + theta_base, prev_loss = theta, loss + accepted = torch.zeros(n, dtype=torch.bool, device=theta.device) + for _ in range(30): # per-curve damping search + delta = torch.linalg.solve(JtJ + lam[:, None, None] * torch.diag_embed(diag) + eye, Jtr) + # limit the largest log-parameter step to 1 + step = (1.0 / delta.abs().amax(dim=1).clamp(min=1e-30)).clamp(max=1.0) + theta_trial = theta_base - delta * step[:, None] + loss_trial = loss_fn(theta_trial) + improved = torch.isfinite(loss_trial) & (loss_trial < loss) & (~accepted) + theta = torch.where(improved[:, None], theta_trial, theta) + loss = torch.where(improved, loss_trial, loss) + accepted = accepted | improved + lam = torch.where( + improved, + (lam * 0.3).clamp(min=1e-12), + torch.where(~accepted, (lam * 3.0).clamp(max=1e12), lam), + ) + if bool(accepted.all()): + break + if not bool(accepted.any()): + break # no curve found a downhill step + if float(((prev_loss - loss) / (prev_loss + 1e-30)).max()) < tol: + break + return theta diff --git a/tests/diffraction/test_polar.py b/tests/diffraction/test_polar.py index 3b349c1a5..bae2382b4 100644 --- a/tests/diffraction/test_polar.py +++ b/tests/diffraction/test_polar.py @@ -335,7 +335,7 @@ def test_fit_bg_recovers_known_background(self, synthetic_4dstem_dataset, bg_mod np.float32 ) # try fitting to this simulated Ik - weight = "default" if bg_model == "gaussian" else "k/I" + weight = "py4dstem" if bg_model == "gaussian" else "k/I" bg, f = pdf.fit_bg(Ik.copy(), bg_model=bg_model, bg_weight=weight) bg, f = bg.cpu().numpy(), f.cpu().numpy() assert (bg >= 0).all() and (f > 0).all() From 7a81b216cfd212f671845380d523d7ffa7e991d8 Mon Sep 17 00:00:00 2001 From: Colin Ophus Date: Thu, 29 Oct 2026 09:20:57 -0700 Subject: [PATCH 45/45] PADF plots: nearest-neighbor maps side by side, angle axes in 30 degree steps - simple_plot / plot_diagonal: per-panel r_fixed, theta_marks and r_marks, so several structures fit in one row; angle axes end at 180 (or 360) deg with 30 (or 60) degree ticks - plot_angular_correlation and plot_g2_g3 use the same angle ticks - show_1d: xlim and xticks options Co-Authored-By: Claude Opus 5.5 --- .../core/visualization/visualization.py | 10 +++ src/quantem/diffraction/padf.py | 56 +++++++++++------ src/quantem/diffraction/padf2d.py | 63 +++++++++++-------- 3 files changed, 85 insertions(+), 44 deletions(-) diff --git a/src/quantem/core/visualization/visualization.py b/src/quantem/core/visualization/visualization.py index 6575163c1..252c5f0dc 100644 --- a/src/quantem/core/visualization/visualization.py +++ b/src/quantem/core/visualization/visualization.py @@ -680,6 +680,8 @@ def show_1d( xlabel: str | Sequence[str] | None = None, ylabel: str | Sequence[str] | None = None, log_y: bool | Sequence[bool] = False, + xlim: tuple[float, float] | None = None, + xticks: ArrayLike | None = None, colors: Sequence[str] | None = None, figax: tuple[Any, Any] | None = None, axsize: tuple[float, float] = (5, 3), @@ -707,6 +709,10 @@ def show_1d( Axis labels. log_y : bool or sequence of bool, default=False Whether to use a logarithmic vertical axis. + xlim : tuple, optional + Horizontal axis limits, shared by all panels. + xticks : array-like, optional + Horizontal tick positions, shared by all panels. colors : sequence of str, optional Line colors, cycled over the curves of each panel. Defaults to ``viz.colors.set``. figax : tuple, optional @@ -811,6 +817,10 @@ def per_panel(value: Any, name: str) -> list[Any]: ax.plot(coords, y, color=colors[k % len(colors)], label=label, **kwargs) if logy: ax.set_yscale("log") + if xlim is not None: + ax.set_xlim(xlim) + if xticks is not None: + ax.set_xticks(xticks) if ttl is not None: ax.set_title(ttl) if xl is not None: diff --git a/src/quantem/diffraction/padf.py b/src/quantem/diffraction/padf.py index 1422f53b3..0875bf98a 100644 --- a/src/quantem/diffraction/padf.py +++ b/src/quantem/diffraction/padf.py @@ -426,7 +426,8 @@ def plot_g2_g3( cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto", ) ax_g3.set_ylabel("$\\theta$ (deg)") - ax_g3.set_yticks(np.arange(0, 181, 45)) + ax_g3.set_ylim(0, 180) + ax_g3.set_yticks(np.arange(0, 181, 30)) fig.colorbar(im, ax=[ax_g3, ax_g2], label="3-body correlation", pad=0.02) if markers is not None: @@ -463,7 +464,7 @@ def simple_plot( padf=None, r_display_power: int = 1, r_max_display: float | None = None, - r_fixed: float | None = None, + r_fixed=None, theta_marks=None, r_marks=None, title=None, @@ -471,47 +472,53 @@ def simple_plot( returnfig: bool = False, ): """ - Map of the PADF against theta (y-axis) and r (x-axis): the r = r' - diagonal Theta(r, r, theta), or Theta(r_fixed, r', theta) when r_fixed - is given. The display is weighted by r^(2 * r_display_power), or by - (r_fixed r')^r_display_power for a fixed-r slice. + Maps of the PADF against theta (y-axis, 0 to 180 deg) and r (x-axis), + one panel per volume in a single row: the r = r' diagonal + Theta(r, r, theta), or Theta(r_fixed, r', theta) when r_fixed is given. + The display is weighted by (r r')^r_display_power. padf : (Nr, Nr, Ntheta) array, or a list of them, or None - Volumes on the same (r, theta) grid, e.g. a model PADF, drawn in - separate panels; defaults to self.padf. - theta_marks, r_marks : sequence of float or None + Volumes on the same (r, theta) grid, e.g. a model PADF; defaults to self.padf. + r_fixed : float, list of float (one per panel) or None + Fixed first radius (Angstroms) for each panel. + theta_marks, r_marks : sequence of float, list of them (one per panel) or None Angles (degrees) and radii (Angstroms) marked with dotted lines. + title : str or list of str (one per panel) Each panel has symmetric color limits from its largest |value| at 15-165 deg and r <= r_max_display. """ vols = [self.padf] if padf is None else (list(padf) if isinstance(padf, (list, tuple)) else [padf]) - titles = title if isinstance(title, (list, tuple)) else [title] * len(vols) + n = len(vols) + titles = _per_panel(title, n) + r_fixeds = list(r_fixed) if isinstance(r_fixed, (list, tuple)) else [r_fixed] * n + theta_markss = _per_panel(theta_marks, n, nested=True) + r_markss = _per_panel(r_marks, n, nested=True) r = np.asarray(self.r) theta_deg = np.asarray(self.theta_deg) rs = r <= (r.max() if r_max_display is None else r_max_display) interior = (theta_deg > 15) & (theta_deg < 165) - fig, axs = plt.subplots(1, len(vols), figsize=(axsize[0] * len(vols), axsize[1]), - squeeze=False, constrained_layout=True) - for ax, vol, t in zip(axs[0], vols, titles): + fig, axs = plt.subplots(1, n, figsize=(axsize[0] * n, axsize[1]), squeeze=False, constrained_layout=True) + for ax, vol, t, r0, t_marks, rm_marks in zip(axs[0], vols, titles, r_fixeds, theta_markss, r_markss): vol = vol.numpy() if isinstance(vol, torch.Tensor) else np.asarray(vol) - if r_fixed is None: + if r0 is None: m = np.einsum("iik->ik", vol)[rs] * (r[rs] ** (2 * r_display_power))[:, None] xlabel, label = "r = r' (Å)", rf"$\Theta(r, r, \theta) \cdot r^{{{2 * r_display_power}}}$" else: - i0 = int(np.argmin(np.abs(r - r_fixed))) + i0 = int(np.argmin(np.abs(r - r0))) m = vol[i0][rs] * ((r[i0] * r[rs]) ** r_display_power)[:, None] xlabel, label = f"r' (Å), r = {r[i0]:.2f} Å", rf"$\Theta(r, r', \theta) \cdot (r r')^{{{r_display_power}}}$" vmax = np.abs(m[:, interior]).max() im = ax.pcolormesh(r[rs], theta_deg, m.T, cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto") - for th in theta_marks or []: + for th in t_marks or []: ax.axhline(th, color="k", ls=":", lw=1) - for rm in r_marks or []: + for rm in rm_marks or []: ax.axvline(rm, color="k", ls=":", lw=1) ax.set_xlabel(xlabel) ax.set_ylabel(r"$\theta$ (deg)") - ax.set_yticks(np.arange(0, 181, 45)) + ax.set_ylim(0, 180) + ax.set_yticks(np.arange(0, 181, 30)) fig.colorbar(im, ax=ax, label=label) if t is not None: ax.set_title(t) @@ -539,7 +546,8 @@ def plot_angular_correlation( im = ax.pcolormesh(q_axis, dphi, M, cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto") ax.set_xlabel("q' (1/Å)") ax.set_ylabel(r"$\Delta\phi$ (deg)") - ax.set_yticks(np.arange(0, 361, 90)) + ax.set_ylim(0, 360) + ax.set_yticks(np.arange(0, 361, 60)) ax.set_title(f"q = {q_axis[iq]:.3f} 1/Å") fig.colorbar(im, ax=ax, label=r"$C(\Delta\phi, q, q')$") if returnfig: @@ -708,3 +716,13 @@ def padf_from_clusters( C = C * float(order_taper(l, int(l_values[-1]) + 2)) # same as reconstruct_PADF out += C[:, :, None] * torch.special.legendre_polynomial_p(torch.cos(theta), l)[None, None, :] return (out * torch.abs(torch.sin(theta))[None, None, :]).numpy() + + +def _per_panel(value, n, nested=False): + """One entry per panel: a list with one item per panel is used as is, + anything else is repeated. With nested=True only a list of lists (or + Nones) counts as per panel, so a flat list of marks is shared.""" + if isinstance(value, (list, tuple)) and len(value) == n: + if not nested or all(v is None or isinstance(v, (list, tuple, np.ndarray)) for v in value): + return list(value) + return [value] * n diff --git a/src/quantem/diffraction/padf2d.py b/src/quantem/diffraction/padf2d.py index 064ad7def..3b9f7a63b 100644 --- a/src/quantem/diffraction/padf2d.py +++ b/src/quantem/diffraction/padf2d.py @@ -34,7 +34,7 @@ import torch from scipy.special import jv -from quantem.diffraction.padf import order_taper +from quantem.diffraction.padf import _per_panel, order_taper class PairAngleDistributionFunction2D: @@ -158,52 +158,65 @@ def reconstruct(self, n_theta: int = 360, include_n0: bool = False, n_taper: boo def plot_diagonal(self, r_max_display: float | None = None, n_theta: int = 360, theta_max: float = 360.0, r_display_power: float = 0.5, - title=None, axsize: tuple[float, float] = (5, 3.6), + title=None, axsize: tuple[float, float] = (4.5, 3.5), returnfig: bool = False, padf=None, n_taper: bool = False, - subtract_median: bool = True): + subtract_median: bool = True, r_fixed=None): """ - Map of the r = r' diagonal vs relative angle, weighted for display by - (r r')^r_display_power as in PairAngleDistributionFunction.simple_plot - (r^1 on the diagonal by default), zero-centered RdBu_r. - theta_max = 180 shows the folded view (sufficient for - Friedel-symmetric data); 360 shows the full relative angle - available when odd harmonics are present. Color limits are set - from interior angles and r <= 0.92 * r_max_display, so edge - artifacts do not compress the scale. padf: an (Nr, Nr, Ntheta) - volume on this r grid and angles 360 k / Ntheta (e.g. a model from - padf2d_from_clusters), or a list of them drawn in separate panels, - to plot instead of this reconstruction. subtract_median subtracts, - for display, the median over the interior angles at each r: the - self-correlation bands at 0 and 180 deg otherwise offset every - interior angle (the 2D measure has no sin(theta) factor to suppress - them). + Maps against relative angle (y-axis, 0 to theta_max) and r (x-axis), + one panel per volume in a single row: the r = r' diagonal, or + Theta(r_fixed, r', dtheta) when r_fixed is given (one value or one per + panel). The display is weighted by (r r')^r_display_power, as in + PairAngleDistributionFunction.simple_plot (r^1 on the diagonal by + default), zero-centered RdBu_r. theta_max = 180 shows the folded view + (sufficient for Friedel-symmetric data); 360 shows the full relative + angle available when odd harmonics are present. Color limits are set + from interior angles and r <= 0.92 * r_max_display, so edge artifacts + do not compress the scale. + + padf: an (Nr, Nr, Ntheta) volume on this r grid and angles 360 k / Ntheta + (e.g. a model from padf2d_from_clusters), or a list of them, to plot + instead of this reconstruction. subtract_median subtracts, for display, + the median over the interior angles at each r: the self-correlation + bands at 0 and 180 deg otherwise offset every interior angle (the 2D + measure has no sin(theta) factor to suppress them). """ if padf is None: vols = [self.reconstruct(n_theta=n_theta, n_taper=n_taper)[1]] else: vols = list(padf) if isinstance(padf, (list, tuple)) else [padf] - titles = title if isinstance(title, (list, tuple)) else [title] * len(vols) + n = len(vols) + titles = _per_panel(title, n) + r_fixeds = list(r_fixed) if isinstance(r_fixed, (list, tuple)) else [r_fixed] * n r = self.r r_max_display = r.max() if r_max_display is None else r_max_display rs = r <= r_max_display r_inner = r[rs] <= 0.92 * r_max_display - fig, axs = plt.subplots(1, len(vols), figsize=(axsize[0] * len(vols), axsize[1]), + fig, axs = plt.subplots(1, n, figsize=(axsize[0] * n, axsize[1]), squeeze=False, constrained_layout=True) - for ax, vol, t in zip(axs[0], vols, titles): + for ax, vol, t, r0 in zip(axs[0], vols, titles, r_fixeds): theta_deg = 360.0 * np.arange(vol.shape[2]) / vol.shape[2] ts = theta_deg <= theta_max + 1e-9 - disp = (np.einsum("iik->ik", vol)[rs][:, ts] * (r[rs] ** (2 * r_display_power))[:, None]).T + if r0 is None: + m = np.einsum("iik->ik", vol)[rs][:, ts] * (r[rs] ** (2 * r_display_power))[:, None] + xlabel, label = "r = r' (Å)", f"$\\Theta_{{2D}} \\cdot r^{{{2 * r_display_power:g}}}$" + else: + i0 = int(np.argmin(np.abs(r - r0))) + m = vol[i0][rs][:, ts] * ((r[i0] * r[rs]) ** r_display_power)[:, None] + xlabel = f"r' (Å), r = {r[i0]:.2f} Å" + label = f"$\\Theta_{{2D}} \\cdot (r r')^{{{r_display_power:g}}}$" + disp = m.T interior = (theta_deg[ts] % 180 > 15) & (theta_deg[ts] % 180 < 165) if subtract_median: disp = disp - np.median(disp[interior], axis=0, keepdims=True) vmax = np.quantile(np.abs(disp[np.ix_(interior, r_inner)]), 0.999) im = ax.pcolormesh(r[rs], theta_deg[ts], disp, cmap="RdBu_r", vmin=-vmax, vmax=vmax, shading="auto") - ax.set_xlabel("r = r' (Å)") + ax.set_xlabel(xlabel) ax.set_ylabel("$\\Delta\\theta$ (deg)") - ax.set_yticks(np.arange(0, theta_max + 1, 45)) - fig.colorbar(im, ax=ax, label=f"$\\Theta_{{2D}} \\cdot r^{{{2 * r_display_power:g}}}$") + ax.set_ylim(0, theta_max) + ax.set_yticks(np.arange(0, theta_max + 1, 30 if theta_max <= 180 else 60)) + fig.colorbar(im, ax=ax, label=label) if t is not None: ax.set_title(t, fontsize=10) if returnfig:

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