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submission 859092

jer · python · License unknown
Kernel source · 3054 lines ↓

Use it

Vendorable · source mirrored · license unknownView source →

No package. Vendor the mirrored source: 3054 lines, June 9 Researcher Reciprocity License v1.0.

submission_49.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-eigh-859092?include=source"
interfacepython
Compatibility
measured onNVIDIA B200
declared hardwareNVIDIA B200
architecturessm_100
dtypesfp32

Benchmark evidence

1 measurement across 1 GPU, fastest first.

Operation / workload
Hardware
Latency
Rank
Observed
Batched symmetric eigendecompositionsuite of 13 cases
NVIDIA B200
47.0ms
#115 of 286
2026-07-06
Run →

Reported · How evidence levels are derived →

Source and license

sourceavailable
revision digestsha256:fffacb3b2fba757c82cc890e70a3c6b24f6cf57243df1701dfc3772832ee0ac3
license declaredunknown
license concludedunknown
authorsjer
imported2026-08-26

Kernel source

submission_49.py3054 lines
#!POPCORN leaderboard eigh
#!POPCORN gpu b200
"""eigh v49: v46 routing (two-stage reduction for n=512, fused shared-memory parallel
Jacobi for n=32, cusolverDnXsyevBatched elsewhere, adaptive near-diagonal dispatch)
with the 512 host path consolidated: cached workspaces/views/launch args, fused band
extraction, baddbmm-folded updates, single in-call sync."""

import base64 as _b64
import ctypes as C
import os as _os

import torch

BW, REC, DEPTH, TW = 16, 20, 32, 32

_PTX = _b64.b64decode(
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_cu = C.CDLL("libcuda.so")
_cu.cuLaunchKernel.argtypes = [C.c_void_p, C.c_uint, C.c_uint, C.c_uint, C.c_uint, C.c_uint,
                               C.c_uint, C.c_uint, C.c_void_p, C.POINTER(C.c_void_p), C.c_void_p]
_cus = C.CDLL("libcusolver.so")
CUDA_R_32F = 0
EIG_VECTOR = 1
FILL_LOWER = 0

_funcs: dict[str, C.c_void_p] = {}
_h = None
_params = None
_ws: dict = {}
_bufs: dict = {}


def _p(x):
    return C.cast(x, C.c_void_p)


def _init():
    global _h, _params
    if _h is not None:
        return
    torch.cuda.init()
    torch.empty(1, device="cuda")
    _cu.cuInit(0)
    ctx = C.c_void_p()
    _cu.cuCtxGetCurrent(C.byref(ctx))
    if not ctx.value:
        dev = C.c_int(0)
        _cu.cuDeviceGet(C.byref(dev), 0)
        pctx = C.c_void_p()
        _cu.cuDevicePrimaryCtxRetain(C.byref(pctx), dev)
        _cu.cuCtxSetCurrent(pctx)
    mod = C.c_void_p()
    if _cu.cuModuleLoadData(C.byref(mod), _PTX) != 0:
        raise RuntimeError("cuModuleLoadData failed")
    for fn in ("panelqr", "chase", "applyq2", "sturm", "stein", "jac32"):
        f = C.c_void_p()
        if _cu.cuModuleGetFunction(C.byref(f), mod, fn.encode()) != 0:
            raise RuntimeError(f"cuModuleGetFunction {fn} failed")
        _funcs[fn] = f
    for fn, sz in (("chase", DEPTH * 512 * 4 + 64), ("applyq2", 512 * TW * 4 + 8 * REC * 4)):
        if _cu.cuFuncSetAttribute(_funcs[fn], 8, sz) != 0:
            raise RuntimeError("cuFuncSetAttribute failed")
    h = C.c_void_p()
    if _cus.cusolverDnCreate(C.byref(h)) != 0:
        raise RuntimeError("cusolverDnCreate failed")
    pr = C.c_void_p()
    if _cus.cusolverDnCreateParams(C.byref(pr)) != 0:
        raise RuntimeError("cusolverDnCreateParams failed")
    _h, _params = h, pr


def _launch(fn, grid, block, args, shmem=0):
    params = (C.c_void_p * len(args))(*[C.cast(C.byref(v), C.c_void_p) for v in args])
    if _cu.cuLaunchKernel(_funcs[fn], grid[0], grid[1], grid[2], block[0], block[1], block[2],
                          shmem, None, params, None) != 0:
        raise RuntimeError(f"cuLaunchKernel {fn} failed")


def _mklaunch(fn, grid, block, args, shmem=0):
    params = (C.c_void_p * len(args))(*[C.cast(C.byref(v), C.c_void_p) for v in args])
    f = _funcs[fn]
    gx, gy, gz = grid
    bx, by, bz = block
    lk = _cu.cuLaunchKernel

    def go(_f=f, _a=(args, params)):
        if lk(_f, gx, gy, gz, bx, by, bz, shmem, None, _a[1], None) != 0:
            raise RuntimeError(f"cuLaunchKernel {fn} failed")
    return go


def _buf(t):
    return C.c_uint64(t.data_ptr()), C.c_uint64(t.numel())


def _nsteps(n):
    return sum((n - 3 - v) // BW + 1 for v in range(n - 2))


def _scratch(batch, n, dev):
    key = (batch, n)
    if key in _bufs:
        return _bufs[key]
    steps = _nsteps(n)
    s = {
        "band": torch.zeros(batch, DEPTH, n, device=dev),
        "refs": torch.empty(batch, steps, REC, device=dev),
        "d": torch.empty(batch, n, dtype=torch.float64, device=dev),
        "e": torch.empty(batch, n, dtype=torch.float64, device=dev),
        "en": torch.empty(batch, n - 1, dtype=torch.float64, device=dev),
        "nref": torch.empty(batch, dtype=torch.float32, device=dev),
        "lam": torch.empty(batch, n, dtype=torch.float64, device=dev),
        "z": torch.empty(batch, n, n, device=dev),
        "cp": torch.empty(batch, n, n, dtype=torch.float64, device=dev),
        "rp": torch.empty(batch, n, n, dtype=torch.float64, device=dev),
        "vv": torch.empty(batch, n, n, dtype=torch.float64, device=dev),
        "a": torch.empty(batch, n, n, device=dev),
        "g": torch.empty(batch, n, n, device=dev),
        "y1": torch.empty(batch, BW, n, device=dev),
        "y2": torch.empty(batch, BW, n, device=dev),
    }
    a, z = s["a"], s["z"]
    vtf = torch.empty(batch, n - BW, BW, device=dev)
    wf = torch.empty(batch, n - BW, BW, device=dev)
    panels = []
    for k in range(0, n - 2 * BW + 1, BW):
        m = n - k - BW
        v = torch.empty(batch, m, BW, device=dev)
        t = torch.empty(batch, BW, BW, device=dev)
        w = wf[:, :m, :]
        panels.append({
            "v": v, "t": t, "vt": vtf[:, :m, :], "w": w,
            "h": torch.empty(batch, BW, BW, device=dev),
            "gg": torch.empty(batch, BW, BW, device=dev),
            "vT": v.transpose(1, 2), "tT": t.transpose(1, 2), "wT": w.transpose(1, 2),
            "a22": a[:, k + BW:, k + BW:], "zr": z[:, k + BW:, :],
            "qr": _mklaunch("panelqr", (batch, 1, 1), (128, 1, 1),
                            [*_buf(a), *_buf(v), *_buf(t), C.c_uint32(k), C.c_uint32(n)]),
        })
    s["p"] = panels
    ar = torch.arange(n, device=dev)
    dd = torch.arange(DEPTH, device=dev).unsqueeze(1)
    valid = ar.unsqueeze(0) < (n - dd)
    idx = ((ar + dd) * n + ar).clamp(max=n * n - 1) * valid
    s["bidx"] = idx.reshape(1, -1).expand(batch, -1).contiguous()
    s["bmask"] = valid.to(torch.float32).reshape(1, DEPTH, n)
    s["chase"] = _mklaunch("chase", (batch, 1, 1), (256, 1, 1),
                           [*_buf(s["band"]), *_buf(s["refs"]), *_buf(s["d"]), *_buf(s["e"]),
                            *_buf(s["nref"]), C.c_uint32(n), C.c_uint32(2)],
                           shmem=DEPTH * n * 4 + 64)
    s["sturm"] = _mklaunch("sturm", ((n + 255) // 256, batch, 1), (256, 1, 1),
                           [*_buf(s["d"]), *_buf(s["en"]), *_buf(s["lam"]),
                            C.c_uint32(n), C.c_uint32(40)])
    s["stein"] = _mklaunch("stein", ((n + 255) // 256, batch, 1), (256, 1, 1),
                           [*_buf(s["d"]), *_buf(s["en"]), *_buf(s["lam"]), *_buf(z),
                            *_buf(s["cp"]), *_buf(s["rp"]), *_buf(s["vv"]),
                            C.c_uint32(n), C.c_double(1e-30)])
    s["applyq2"] = _mklaunch("applyq2", (batch * (n // TW), 1, 1), (256, 1, 1),
                             [*_buf(z), *_buf(s["refs"]), C.c_uint32(n),
                              C.c_uint32(s["refs"].shape[1])],
                             shmem=n * TW * 4 + 8 * REC * 4)
    _bufs[key] = s
    return s


def _pipeline(s, batch, n):
    for pp in s["p"]:
        pp["qr"]()
        torch.bmm(pp["v"], pp["t"], out=pp["vt"])
        torch.bmm(pp["a22"], pp["vt"], out=pp["w"])
        torch.bmm(pp["vT"], pp["w"], out=pp["h"])
        torch.bmm(pp["tT"], pp["h"], out=pp["gg"])
        pp["w"].baddbmm_(pp["v"], pp["gg"], alpha=-0.5)
        pp["a22"].baddbmm_(pp["v"], pp["wT"], alpha=-1.0)
        pp["a22"].baddbmm_(pp["w"], pp["vT"], alpha=-1.0)
    band = s["band"]
    torch.gather(s["a"].reshape(batch, n * n), 1, s["bidx"],
                 out=band.reshape(batch, DEPTH * n))
    band.mul_(s["bmask"])
    s["chase"]()
    s["en"].copy_(s["e"][:, : n - 1])
    s["sturm"]()
    s["stein"]()
    s["applyq2"]()
    y1, y2 = s["y1"], s["y2"]
    for pp in reversed(s["p"]):
        torch.bmm(pp["vT"], pp["zr"], out=y1)
        torch.bmm(pp["t"], y1, out=y2)
        pp["zr"].baddbmm_(pp["v"], y2, alpha=-1.0)
    return s["z"], s["lam"].float()


def _jac32(data):
    batch = data.shape[0]
    a = data.contiguous()
    q = torch.empty(batch, 32, 32, device=data.device)
    lam = torch.empty(batch, 32, device=data.device)
    _launch("jac32", (batch, 1, 1), (256, 1, 1), [*_buf(a), *_buf(q), *_buf(lam)])
    return q, lam


def _custom(data, triv_all):
    batch, n, _ = data.shape
    s = _scratch(batch, n, data.device)
    s["a"].copy_(data.contiguous())
    z, lam32 = _pipeline(s, batch, n)
    z = z.clone()
    lam32 = lam32.contiguous()

    aa = data
    g = s["g"]
    torch.bmm(z.transpose(1, 2), z, out=g)
    g.diagonal(dim1=1, dim2=2).sub_(1.0)
    ga = g.abs_()
    bad = (ga.flatten(1).amax(dim=1) > 5e-4) | (ga.sum(dim=1).amax(dim=1) > 3e-3)
    b_any, t_all = torch.stack([bad.any(), triv_all]).tolist()
    if _DBG:
        print(f"[route] n={n} batch={batch} trivial={'all' if t_all else 'no'}", flush=True)
    if t_all:
        return _diagsolve(data)
    if b_any:
        idx = bad.nonzero(as_tuple=True)[0]
        ab = aa[idx]
        lb = lam32[idx].unsqueeze(1)
        anorm = ab.abs().sum(dim=1).amax(dim=1)
        allowed = 200.0 * n * 1.1920929e-7 * anorm
        zb = z[idx]
        for _ in range(4):
            gb = zb.transpose(1, 2) @ zb
            zb = 1.5 * zb - 0.5 * (zb @ gb)
        zb = torch.nan_to_num(zb, nan=1.0, posinf=1.0, neginf=1.0)
        g2 = zb.transpose(1, 2) @ zb
        g2.diagonal(dim1=1, dim2=2).sub_(1.0)
        g2a = g2.abs()
        ok_o = (g2a.flatten(1).amax(dim=1) <= 5e-4) & (g2a.sum(dim=1).amax(dim=1) <= 3e-3)
        r = (ab @ zb - zb * lb).abs().sum(dim=1).amax(dim=1)
        ok_e = r <= 0.6 * allowed
        z[idx] = zb
        still = ~(ok_o & ok_e)
        if bool(still.any()):
            sidx = idx[still]
            zq = torch.linalg.qr(z[sidx])[0]
            r2 = (aa[sidx] @ zq - zq * lam32[sidx].unsqueeze(1)).abs().sum(dim=1).amax(dim=1)
            z[sidx] = zq
            fail = r2 > 0.6 * allowed[still]
            if bool(fail.any()):
                fidx = sidx[fail]
                le, qe = torch.linalg.eigh(aa[fidx])
                z[fidx] = qe
                lam32[fidx] = le
    return z, lam32.contiguous()


def _cusolver(data):
    batch, n, _ = data.shape
    A = data.contiguous().clone()
    W = torch.empty(batch, n, dtype=torch.float32, device=A.device)
    info = torch.empty(batch, dtype=torch.int32, device=A.device)
    n64 = C.c_int64(n)
    b64_ = C.c_int64(batch)
    key = (n, batch)
    if key not in _ws:
        db = C.c_size_t()
        hb = C.c_size_t()
        if _cus.cusolverDnXsyevBatched_bufferSize(
                _h, _params, EIG_VECTOR, FILL_LOWER, n64, CUDA_R_32F, _p(A.data_ptr()), n64,
                CUDA_R_32F, _p(W.data_ptr()), CUDA_R_32F, C.byref(db), C.byref(hb), b64_) != 0:
            raise RuntimeError("bufferSize failed")
        dwork = torch.empty(max(1, db.value), dtype=torch.uint8, device=A.device)
        hwork = (C.c_char * max(1, hb.value))()
        _ws[key] = (db, hb, dwork, hwork)
    db, hb, dwork, hwork = _ws[key]
    if _cus.cusolverDnXsyevBatched(
            _h, _params, EIG_VECTOR, FILL_LOWER, n64, CUDA_R_32F, _p(A.data_ptr()), n64,
            CUDA_R_32F, _p(W.data_ptr()), CUDA_R_32F,
            _p(dwork.data_ptr()), db, hwork, hb, _p(info.data_ptr()), b64_) != 0:
        raise RuntimeError("XsyevBatched failed")
    return A.transpose(-1, -2).contiguous(), W


_EPS = 1.1920929e-7
_DBG = bool(_os.environ.get("POPCORN_DEBUG_ROUTE"))


def _diagsolve(a):
    b, n, _ = a.shape
    lam, perm = a.diagonal(dim1=1, dim2=2).sort(dim=1)
    q = torch.zeros_like(a)
    q[torch.arange(b, device=a.device).unsqueeze(1), perm,
      torch.arange(n, device=a.device)] = 1.0
    return q, lam.contiguous()


def custom_kernel(data):
    _init()
    batch, n, _ = data.shape
    if n == 32:
        return _jac32(data)
    colsum = data.abs().sum(dim=1)
    off = (colsum - data.diagonal(dim1=1, dim2=2).abs()).amax(dim=1)
    triv = off <= 50.0 * n * _EPS * colsum.amax(dim=1)
    if n == 512:
        return _custom(data, triv.all())
    ntriv = int(triv.sum())
    if _DBG:
        print(f"[route] n={n} batch={batch} trivial={ntriv}", flush=True)
    if ntriv == batch:
        return _diagsolve(data)
    if ntriv:
        q = torch.empty_like(data)
        lam = torch.empty(batch, n, device=data.device)
        q[triv], lam[triv] = _diagsolve(data[triv])
        hard = ~triv
        q[hard], lam[hard] = _cusolver(data[hard].contiguous())
        return q, lam
    return _cusolver(data)
scrolls · 3054 lines total

Source code from GPU Mode and the KernelBot dataset · June 9 Researcher Reciprocity License v1.0

Best evidence level for this revision: reported

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