Build refinement transfers from union and pin physical body support
This commit is contained in:
@@ -151,20 +151,17 @@ class FixedPatch2D:
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raise ValueError("levels are not synchronized: fine_steps must equal 2*coarse_steps")
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MIN_PATCH_GAP = 4 # coarse cells: the full 4-fine-cell supports stay disjoint
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MIN_PATCH_GAP = 4 # Legacy exported constant; union transfers impose no gap policy.
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@dataclass(frozen=True, eq=False)
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class FixedPatchSet2D:
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"""Several separated FixedPatch2D rectangles sharing one 2:1 fine level.
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"""Rectangles describing one 2:1 fine union, with unique transfer ownership.
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The fine level is the whole (2*ny, 2*nx) grid in level coordinates; only
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the patch supports (active region + HALO ghost band) are stored, by a
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sparse BlockLayout2D from fine_layout(). Tables have FixedPatch2D meaning
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and row/child order, re-addressed to level cells: ghost_fine are level
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fine cells, coalesce_fine are q*N+cell level slots; coarse ids unchanged.
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Patches are kept in canonical (y0, x0) order, so input order is irrelevant.
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Active regions must be >= MIN_PATCH_GAP coarse cells apart (Chebyshev).
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Input patches remain canonical metadata. Numerical kinds and tables are
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built once from their union; adjacent, overlapping and concave unions are
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accepted when their actual transfer dependencies close. Sparse storage owns
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every whole tile intersecting the support, independent of rectangle edges.
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"""
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coarse_shape: tuple[int, int]
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patches: tuple
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@@ -182,42 +179,43 @@ class FixedPatchSet2D:
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if not rectangles:
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raise ValueError("at least one patch rectangle is required")
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patches = sorted((FixedPatch2D.from_config(cfg, r) for r in rectangles),
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key=lambda p: (p.bounds[1], p.bounds[0]))
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for i, a in enumerate(patches):
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for b in patches[i + 1:]:
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(ax0, ay0, ax1, ay1), (bx0, by0, bx1, by1) = a.bounds, b.bounds
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if max(ay0 - by1, by0 - ay1, ax0 - bx1, bx0 - ax1) < MIN_PATCH_GAP:
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raise ValueError(f"patches {a.bounds} and {b.bounds} are closer "
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f"than {MIN_PATCH_GAP} coarse cells")
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key=lambda p: (p.bounds[1], p.bounds[0], p.bounds[3], p.bounds[2]))
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ny, nx = patches[0].coarse_shape
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fy, fx = 2 * ny, 2 * nx
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if fy * fx * 9 > np.iinfo(np.uint64).max // 2:
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raise ValueError("fine level exceeds 64-bit indexing")
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kind = np.full((fy, fx), OUTER_GHOST, np.uint8)
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ghost_fine, coalesce_fine = [], []
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for p in patches:
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y0, x0 = p.fine_level_origin
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ly, lx = p.fine_shape
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kind[y0:y0 + ly, x0:x0 + lx] = p.fine_kind
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gy, gx = np.divmod(p.ghost_fine.astype(np.int64), lx)
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ghost_fine.append((gy + y0) * fx + gx + x0)
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q, cell = np.divmod(p.coalesce_fine.astype(np.int64), ly * lx)
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cy, cx = np.divmod(cell, lx)
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coalesce_fine.append(q * fy * fx + (cy + y0) * fx + cx + x0)
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ghost_coarse = np.concatenate([p.ghost_coarse for p in patches])
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coalesce_coarse = np.concatenate([p.coalesce_coarse for p in patches])
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covered = np.zeros((ny, nx), bool)
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for p in patches:
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covered |= p.covered
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cells = ny * nx
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if (covered.ravel()[ghost_coarse].any()
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or covered.ravel()[coalesce_coarse % np.uint64(cells)].any()
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or len(np.unique(coalesce_coarse)) != len(coalesce_coarse)):
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raise ValueError("patch transfers overlap another patch")
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return cls((ny, nx), tuple(patches), patches[0].tau_coarse, patches[0].tau_fine,
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_readonly(kind, np.uint8), _readonly(np.concatenate(ghost_fine), np.uint64),
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_readonly(ghost_coarse, np.uint32), _readonly(coalesce_coarse, np.uint64),
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_readonly(np.concatenate(coalesce_fine), np.uint64).reshape(-1, 4))
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fy, fx = 2 * ny, 2 * nx
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if fy * fx * 9 > np.iinfo(np.uint64).max // 2:
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raise ValueError("fine level exceeds 64-bit indexing")
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active = np.kron(covered, np.ones((2, 2), bool))
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inner = _dilate(active, 2)
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support = _dilate(active, HALO)
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kind = np.full((fy, fx), OUTER_GHOST, np.uint8)
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kind[inner] = INNER_GHOST
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kind[active] = ACTIVE
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gy, gx = np.nonzero(support & ~active)
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ghost_fine = (gy * fx + gx).astype(np.uint64)
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ghost_coarse = ((gy >> 1) * nx + (gx >> 1)).astype(np.uint32)
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targets, children = [], []
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ry, rx = np.nonzero(_dilate(covered, 1) & ~covered)
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for y, x in zip(ry.tolist(), rx.tolist()):
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for q in range(1, 9):
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if _closed_union_contains(covered, 2 * x + 1 - D2Q9_EX[q], 2 * y + 1 - D2Q9_EY[q]):
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targets.append(q * ny * nx + y * nx + x)
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children.append([q * fy * fx + (2 * y + dy) * fx + 2 * x + dx
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for dy in (0, 1) for dx in (0, 1)])
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targets = np.asarray(targets, np.uint64)
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children = np.asarray(children, np.uint64).reshape(-1, 4)
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cells = np.asarray(children % np.uint64(fy * fx), np.intp)
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if not (kind.ravel()[cells] == INNER_GHOST).all():
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raise ValueError("coalesce children must be INNER ghost cells")
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pair = cls((ny, nx), tuple(patches), patches[0].tau_coarse, patches[0].tau_fine,
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_readonly(kind, np.uint8), _readonly(ghost_fine, np.uint64),
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_readonly(ghost_coarse, np.uint32), _readonly(targets, np.uint64),
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_readonly(children, np.uint64))
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_transfer_footprint(pair)
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_check_parent_pull_closure(pair)
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return pair
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@property
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def fine_shape(self) -> tuple[int, int]:
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@@ -240,22 +238,61 @@ class FixedPatchSet2D:
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return mask
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def fine_layout(self, block):
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"""Sparse non-periodic layout storing exactly the patch supports."""
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"""Sparse non-periodic tiles covering union support; domain divisibility remains."""
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from .blocks import BlockLayout2D
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block = tuple(block)
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if len(block) != 2 or any(isinstance(v, (bool, np.bool_)) or not isinstance(v, Integral)
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or v <= 0 for v in block):
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raise ValueError("fine block must be two positive integers (by, bx)")
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by, bx = map(int, block)
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origins = set()
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for p in self.patches:
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y0, x0 = p.fine_level_origin
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ly, lx = p.fine_shape
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if y0 % by or x0 % bx or ly % by or lx % bx:
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raise ValueError(f"patch {p.bounds} support is not aligned to fine blocks {block}")
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origins.update((y, x) for y in range(y0, y0 + ly, by) for x in range(x0, x0 + lx, bx))
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support = _dilate(self.fine_kind == ACTIVE, HALO)
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ty, tx = np.nonzero(support)
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origins = sorted({(int(y) // by * by, int(x) // bx * bx) for y, x in zip(ty, tx)})
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return BlockLayout2D.build(*self.fine_shape, by, bx, periodic=(False, False),
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origins=sorted(origins))
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origins=origins)
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def _dilate(mask, steps):
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"""Chebyshev dilation with a zero (non-periodic) exterior."""
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out = np.asarray(mask, bool)
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for _ in range(steps):
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grown = out.copy()
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grown[1:] |= out[:-1]
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grown[:-1] |= out[1:]
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wide = grown.copy()
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wide[:, 1:] |= grown[:, :-1]
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wide[:, :-1] |= grown[:, 1:]
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out = wide
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return out
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def _closed_union_contains(covered, mx, my):
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"""Does doubled point (mx, my) lie in a closed covered square [2X, 2X+2] x [2Y, 2Y+2]?"""
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xs = (mx // 2 - 1, mx // 2) if mx % 2 == 0 else ((mx - 1) // 2,)
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ys = (my // 2 - 1, my // 2) if my % 2 == 0 else ((my - 1) // 2,)
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ny, nx = covered.shape
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return any(0 <= y < ny and 0 <= x < nx and covered[y, x] for y in ys for x in xs)
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def _check_parent_pull_closure(pair):
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"""Every uncovered parent cell pulling q from a covered cell needs its (R, q) row; no row
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may stage into an uncovered parent cell unless its link passes the closed union."""
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ny, nx = pair.coarse_shape
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rows = set(map(int, pair.coalesce_coarse))
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if len(rows) != len(pair.coalesce_coarse):
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raise ValueError("duplicate coalesce writer (receiver, q)")
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covered = pair.covered
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for y, x in zip(*np.nonzero(~covered)):
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for q in range(1, 9):
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sy, sx = y - D2Q9_EY[q], x - D2Q9_EX[q]
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if 0 <= sy < ny and 0 <= sx < nx and covered[sy, sx]:
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if q * ny * nx + y * nx + x not in rows:
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raise ValueError("a surviving parent ACTIVE pull lacks its coalesce row")
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for slot in rows:
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q, cell = divmod(slot, ny * nx)
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y, x = divmod(cell, nx)
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if covered[y, x] or not _closed_union_contains(covered, 2*x + 1 - D2Q9_EX[q], 2*y + 1 - D2Q9_EY[q]):
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raise ValueError("coalesce row outside the union boundary")
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@dataclass(frozen=True, eq=False)
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@@ -323,14 +360,14 @@ def nest_patch(cfg, parent, child_bounds):
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def nest_patch_set(cfg, parent, child_rectangles_in_parent):
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"""Separated child union in the parent's allocated L1 array coordinates.
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"""Child rectangle union in the parent's allocated L1 array coordinates.
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The root edge coordinate of L1 index (x, y) is
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``parent.fine_origin + (x, y)/2``. For a set parent its origin is zero;
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a scalar parent's window includes its ghost band and has a shifted origin.
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The child set allocates a dense public extent twice that L1 array, while
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its blocked storage omits holes. Both adjacent pairs retain gap >= 4 in
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their respective parent-cell units. Validate support over the whole union.
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its blocked storage omits holes. Validate the actual adjacent-pair support over the whole union;
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no rectangle-gap policy is imposed.
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"""
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child = FixedPatchSet2D.from_config(
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_middle_config(cfg, parent), child_rectangles_in_parent)
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@@ -373,6 +410,17 @@ def _nested_kind(parent, child):
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return _readonly(composed, np.uint8)
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def _circle_in_coverage(covered, cx, cy, radius):
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"""Exact disk versus uncovered parent squares; no containing-rectangle rule."""
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ny, nx = covered.shape
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if cx-radius < 0 or cy-radius < 0 or cx+radius > nx or cy+radius > ny:
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return False
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y, x = np.nonzero(~covered)
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dx = np.maximum(np.maximum(x-cx, cx-(x+1)), 0.)
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dy = np.maximum(np.maximum(y-cy, cy-(y+1)), 0.)
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return not np.any(dx*dx + dy*dy < radius*radius)
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def prepare_fine_boundary(cfg, patch, objects, *, wall_aware=False, jets=(),
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parent_origin=(0., 0.), parent_spacing=1.):
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"""Project fixed circles and reject boundary/transfer overlap before CUDA.
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@@ -386,7 +434,7 @@ def prepare_fine_boundary(cfg, patch, objects, *, wall_aware=False, jets=(),
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Original objects are not retained or mutated. No runtime geometry updates.
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``patch`` may be a FixedPatchSet2D: objects are then projected once onto
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the level-wide fine grid (fine_origin (0, 0)); each circle must lie inside
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one patch, body ids are the positions in ``objects`` (never patch ids), and
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the union, body ids are the positions in ``objects`` (never patch ids), and
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jets and the (receiver, dir) writer checks run once over the whole level.
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``jets`` use the same coarse cell-edge frame as the objects; their
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selection is checked against true fine hits here. Jet amplitudes need no
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@@ -416,7 +464,6 @@ def prepare_fine_boundary(cfg, patch, objects, *, wall_aware=False, jets=(),
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flags = np.full(nx * ny, FLUID, np.uint16)
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active = patch.fine_kind.ravel() == ACTIVE
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local, links = [], []
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rects = patch.bounds if isinstance(patch, FixedPatchSet2D) else (patch.bounds,)
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covered = patch.covered
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dx = dt = .5 * parent_spacing
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fine_origin = origin + parent_spacing * np.asarray(patch.fine_origin)
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@@ -430,9 +477,8 @@ def prepare_fine_boundary(cfg, patch, objects, *, wall_aware=False, jets=(),
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px, py = (np.asarray((cx, cy)) - origin) / parent_spacing
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pr = radius / parent_spacing
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if (not np.isfinite([cx, cy, radius]).all() or radius <= 0
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or not any(x0 <= px-pr and px+pr <= x1 and y0 <= py-pr
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and py+pr <= y1 for x0, y0, x1, y1 in rects)):
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raise ValueError("Entire fine circle must lie inside one physical patch")
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or not _circle_in_coverage(covered, px, py, pr)):
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raise ValueError("Entire fine circle must lie inside the physical patch union")
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center = tuple((v-o)/dx-.5 for v, o in zip((cx, cy), fine_origin))
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spec = obj.surface_actuation
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if spec is not None:
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@@ -170,13 +170,13 @@ class FixedPatchStepper:
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re-uploads the per-link velocity column only.
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Several patches: pass ``bounds`` as a sequence of (x0, y0, x1, y1)
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rectangles (FixedPatchSet2D, >= 4 coarse cells apart). This requires
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rectangles (FixedPatchSet2D, dependency-validated union). This requires
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fine_block and base_block; fine_objects/jets are projected once onto the
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level-wide fine grid (each circle inside one patch, body ids = object
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level-wide fine grid (each circle inside the union, body ids = object
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positions, jet and writer checks level-wide), and
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uses one level-wide fine grid (2*ny, 2*nx): public fine arrays have that
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shape, NaN outside the patches' ACTIVE cells. The step sequence is the
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blocked one above, with every patch's transfers in one launch each.
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blocked one above, with unique union transfers in one launch each.
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Three-level separated unions: ``child_rectangles_in_parent=[...]`` is
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mutually exclusive with scalar ``child`` and accepts either parent form.
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@@ -507,8 +507,8 @@ class FixedPatchStepper:
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Periodic three-level set children only; L0/L1 and block sizes stay fixed.
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A body run requires its original root-edge-frame ``child_objects``:
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stationary circles pinned in unchanged complete L2 rectangles.
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Separated fluid-only rectangles may be added, moved or removed.
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stationary circles with identical physical boundary and BFL support.
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Other fluid coverage may change, even in the same connected union.
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Current L2 Jets (including updated amplitudes)
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are preserved. Local projected boundary objects are not valid inputs.
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The lock and stream synchronization certify
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@@ -547,10 +547,9 @@ class FixedPatchStepper:
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raise ValueError("child_objects changed boundary ownership or surface velocity")
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new = RemapTopology.from_config(cfg, pairs[0], rectangles,
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child_objects=child_objects, child_jets=jets)
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if (old.pinned_rectangles != new.pinned_rectangles
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or not same_physical_boundary(old.boundary, new.boundary)
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if (not same_physical_boundary(old.boundary, new.boundary)
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or not np.array_equal(old.surface_velocity, new.surface_velocity)):
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raise ValueError("remap requires the identical pinned body rectangles and boundary")
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raise ValueError("remap requires the identical pinned physical boundary and BFL support")
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base_block, fine_block, child_block = self._level_blocks
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# Check sparse block alignment/launch size before any device read/allocation.
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layout = new.child.fine_layout(child_block)
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@@ -1,7 +1,7 @@
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"""CPU-only whole-volume G transfer, not a runtime adaptive solver.
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Periodic three-level grids with fixed L0/L1 topology are supported, including
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stationary circles pinned inside unchanged L2 rectangles. The caller
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stationary circles with unchanged physical boundary/BFL support. The caller
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certifies that current owned leaves are quiescent,
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unshifted D2Q9 postcollision G at the supplied completed base interval.
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No device buffers, device boundary state, ghosts, collision or time advance
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@@ -20,13 +20,14 @@ from ..body.jets import surface_link_velocity
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@dataclass(frozen=True, eq=False)
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class RemapTopology:
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"""Validated fixed parent and separated L2 set; use ``from_config``.
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"""Validated fixed parent and L2 union; use ``from_config``.
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Child rectangles are in the parent's allocated L1 coordinates, including
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its window offset/halo when the parent is a scalar patch. Dense masks are
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rebuilt from geometry, never inferred from finite values in input arrays.
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``pinned_rectangles`` canonically lists each body-containing rectangle once;
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fluid-only layouts have no pins.
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``pinned_rectangles`` is legacy metadata for single-rectangle containment.
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Eligibility pins physical boundary/stencil data, not entire rectangles or
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connected fluid regions; each topology independently validates transfer closure.
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"""
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parent: object
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child: FixedPatchSet2D
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@@ -59,9 +60,11 @@ class RemapTopology:
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for obj in child_objects:
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cx, cy = (np.asarray(obj.geometry.center) - parent.fine_origin) * 2
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radius = obj.geometry._radius * 2
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containing.add(next(r for r in child.bounds if
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r[0] <= cx-radius and cx+radius <= r[2] and
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r[1] <= cy-radius and cy+radius <= r[3]))
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match = next((r for r in child.bounds if
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r[0] <= cx-radius and cx+radius <= r[2] and
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r[1] <= cy-radius and cy+radius <= r[3]), None)
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if match is not None:
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containing.add(match)
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pinned = tuple(sorted(containing))
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velocity = boundary_velocity(cfg, child, boundary, child_jets)
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if velocity is not None:
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@@ -167,10 +170,9 @@ def remap_synchronized(old, new, old_g, *, base_count, level_steps, phase,
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or not _same_parent(old.parent, new.parent)
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or old.child.tau_fine != new.child.tau_fine):
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raise ValueError("remap requires unchanged L0/L1 geometry and relaxation")
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if (old.pinned_rectangles != new.pinned_rectangles
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or not same_physical_boundary(old.boundary, new.boundary)
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if (not same_physical_boundary(old.boundary, new.boundary)
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or not np.array_equal(old.surface_velocity, new.surface_velocity)):
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raise ValueError("remap requires the identical pinned body rectangles and physical boundary")
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raise ValueError("remap requires the identical pinned physical boundary and BFL support")
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if not isinstance(level_steps, (tuple, list)):
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raise ValueError("level_steps must be three completed integer counts")
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counts = (base_count, *level_steps)
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