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- import time
- import torch
- import warnings
- WITH_SELECTIVESCAN_OFLEX = True
- WITH_SELECTIVESCAN_CORE = False
- WITH_SELECTIVESCAN_MAMBA = True
- try:
- import selective_scan_cuda_oflex
- except ImportError:
- WITH_SELECTIVESCAN_OFLEX = False
- warnings.warn("selective_scan_cuda_oflex is unavailable; SS2D will use a slower backend.", stacklevel=2)
- try:
- import selective_scan_cuda_core
- except ImportError:
- WITH_SELECTIVESCAN_CORE = False
- try:
- import selective_scan_cuda
- except ImportError:
- WITH_SELECTIVESCAN_MAMBA = False
- def selective_scan_torch(
- u: torch.Tensor, # (B, K * C, L)
- delta: torch.Tensor, # (B, K * C, L)
- A: torch.Tensor, # (K * C, N)
- B: torch.Tensor, # (B, K, N, L)
- C: torch.Tensor, # (B, K, N, L)
- D: torch.Tensor = None, # (K * C)
- delta_bias: torch.Tensor = None, # (K * C)
- delta_softplus=True,
- oflex=True,
- *args,
- **kwargs
- ):
- dtype_in = u.dtype
- Batch, K, N, L = B.shape
- KCdim = u.shape[1]
- Cdim = int(KCdim / K)
- assert u.shape == (Batch, KCdim, L)
- assert delta.shape == (Batch, KCdim, L)
- assert A.shape == (KCdim, N)
- assert C.shape == B.shape
- if delta_bias is not None:
- delta = delta + delta_bias[..., None]
- if delta_softplus:
- delta = torch.nn.functional.softplus(delta)
-
- u, delta, A, B, C = u.float(), delta.float(), A.float(), B.float(), C.float()
- B = B.view(Batch, K, 1, N, L).repeat(1, 1, Cdim, 1, 1).view(Batch, KCdim, N, L)
- C = C.view(Batch, K, 1, N, L).repeat(1, 1, Cdim, 1, 1).view(Batch, KCdim, N, L)
- deltaA = torch.exp(torch.einsum('bdl,dn->bdln', delta, A))
- deltaB_u = torch.einsum('bdl,bdnl,bdl->bdln', delta, B, u)
-
- if True:
- x = A.new_zeros((Batch, KCdim, N))
- ys = []
- for i in range(L):
- x = deltaA[:, :, i, :] * x + deltaB_u[:, :, i, :]
- y = torch.einsum('bdn,bdn->bd', x, C[:, :, :, i])
- ys.append(y)
- y = torch.stack(ys, dim=2) # (B, C, L)
-
- out = y if D is None else y + u * D.unsqueeze(-1)
- return out if oflex else out.to(dtype=dtype_in)
- class SelectiveScanCuda(torch.autograd.Function):
- @staticmethod
- @torch.amp.custom_fwd(device_type="cuda")
- def forward(ctx, u, delta, A, B, C, D=None, delta_bias=None, delta_softplus=False, oflex=True, backend=None):
- ctx.delta_softplus = delta_softplus
- backend = "oflex" if WITH_SELECTIVESCAN_OFLEX and (backend is None) else backend
- backend = "core" if WITH_SELECTIVESCAN_CORE and (backend is None) else backend
- backend = "mamba" if WITH_SELECTIVESCAN_MAMBA and (backend is None) else backend
- ctx.backend = backend
- if backend == "oflex":
- out, x, *rest = selective_scan_cuda_oflex.fwd(u, delta, A, B, C, D, delta_bias, delta_softplus, 1, oflex)
- elif backend == "core":
- out, x, *rest = selective_scan_cuda_core.fwd(u, delta, A, B, C, D, delta_bias, delta_softplus, 1)
- elif backend == "mamba":
- out, x, *rest = selective_scan_cuda.fwd(u, delta, A, B, C, D, None, delta_bias, delta_softplus)
- ctx.save_for_backward(u, delta, A, B, C, D, delta_bias, x)
- return out
-
- @staticmethod
- @torch.amp.custom_bwd(device_type="cuda")
- def backward(ctx, dout, *args):
- u, delta, A, B, C, D, delta_bias, x = ctx.saved_tensors
- backend = ctx.backend
- if dout.stride(-1) != 1:
- dout = dout.contiguous()
- if backend == "oflex":
- du, ddelta, dA, dB, dC, dD, ddelta_bias, *rest = selective_scan_cuda_oflex.bwd(
- u, delta, A, B, C, D, delta_bias, dout, x, ctx.delta_softplus, 1
- )
- elif backend == "core":
- du, ddelta, dA, dB, dC, dD, ddelta_bias, *rest = selective_scan_cuda_core.bwd(
- u, delta, A, B, C, D, delta_bias, dout, x, ctx.delta_softplus, 1
- )
- elif backend == "mamba":
- du, ddelta, dA, dB, dC, dD, ddelta_bias, *rest = selective_scan_cuda.bwd(
- u, delta, A, B, C, D, None, delta_bias, dout, x, None, None, ctx.delta_softplus,
- False
- )
- return du, ddelta, dA, dB, dC, dD, ddelta_bias, None, None, None
- def selective_scan_fn(
- u: torch.Tensor, # (B, K * C, L)
- delta: torch.Tensor, # (B, K * C, L)
- A: torch.Tensor, # (K * C, N)
- B: torch.Tensor, # (B, K, N, L)
- C: torch.Tensor, # (B, K, N, L)
- D: torch.Tensor = None, # (K * C)
- delta_bias: torch.Tensor = None, # (K * C)
- delta_softplus=True,
- oflex=True,
- backend=None,
- ):
- WITH_CUDA = (WITH_SELECTIVESCAN_OFLEX or WITH_SELECTIVESCAN_CORE or WITH_SELECTIVESCAN_MAMBA)
- fn = selective_scan_torch if backend == "torch" or (not WITH_CUDA) else SelectiveScanCuda.apply
- return fn(u, delta, A, B, C, D, delta_bias, delta_softplus, oflex, backend)
- # fvcore flops =======================================
- def print_jit_input_names(inputs):
- print("input params: ", end=" ", flush=True)
- try:
- for i in range(10):
- print(inputs[i].debugName(), end=" ", flush=True)
- except Exception as e:
- pass
- print("", flush=True)
- def flops_selective_scan_fn(B=1, L=256, D=768, N=16, with_D=True, with_Z=False, with_complex=False):
- """
- u: r(B D L)
- delta: r(B D L)
- A: r(D N)
- B: r(B N L)
- C: r(B N L)
- D: r(D)
- z: r(B D L)
- delta_bias: r(D), fp32
-
- ignores:
- [.float(), +, .softplus, .shape, new_zeros, repeat, stack, to(dtype), silu]
- """
- assert not with_complex
- # https://github.com/state-spaces/mamba/issues/110
- flops = 9 * B * L * D * N
- if with_D:
- flops += B * D * L
- if with_Z:
- flops += B * D * L
- return flops
- # this is only for selective_scan_ref...
- def flops_selective_scan_ref(B=1, L=256, D=768, N=16, with_D=True, with_Z=False, with_Group=True, with_complex=False):
- """
- u: r(B D L)
- delta: r(B D L)
- A: r(D N)
- B: r(B N L)
- C: r(B N L)
- D: r(D)
- z: r(B D L)
- delta_bias: r(D), fp32
-
- ignores:
- [.float(), +, .softplus, .shape, new_zeros, repeat, stack, to(dtype), silu]
- """
- import numpy as np
-
- # fvcore.nn.jit_handles
- def get_flops_einsum(input_shapes, equation):
- np_arrs = [np.zeros(s) for s in input_shapes]
- optim = np.einsum_path(equation, *np_arrs, optimize="optimal")[1]
- for line in optim.split("\n"):
- if "optimized flop" in line.lower():
- # divided by 2 because we count MAC (multiply-add counted as one flop)
- flop = float(np.floor(float(line.split(":")[-1]) / 2))
- return flop
-
- assert not with_complex
- flops = 0 # below code flops = 0
- flops += get_flops_einsum([[B, D, L], [D, N]], "bdl,dn->bdln")
- if with_Group:
- flops += get_flops_einsum([[B, D, L], [B, N, L], [B, D, L]], "bdl,bnl,bdl->bdln")
- else:
- flops += get_flops_einsum([[B, D, L], [B, D, N, L], [B, D, L]], "bdl,bdnl,bdl->bdln")
-
- in_for_flops = B * D * N
- if with_Group:
- in_for_flops += get_flops_einsum([[B, D, N], [B, D, N]], "bdn,bdn->bd")
- else:
- in_for_flops += get_flops_einsum([[B, D, N], [B, N]], "bdn,bn->bd")
- flops += L * in_for_flops
- if with_D:
- flops += B * D * L
- if with_Z:
- flops += B * D * L
- return flops
- def selective_scan_flop_jit(inputs, outputs, backend="prefixsum", verbose=True):
- if verbose:
- print_jit_input_names(inputs)
- flops_fn = flops_selective_scan_ref if backend == "naive" else flops_selective_scan_fn
- B, D, L = inputs[0].type().sizes()
- N = inputs[2].type().sizes()[1]
- flops = flops_fn(B=B, L=L, D=D, N=N, with_D=True, with_Z=False)
- return flops
- if __name__ == "__main__":
- def params(B, K, C, N, L, device = torch.device("cuda"), itype = torch.float):
- As = (-0.5 * torch.rand(K * C, N, device=device, dtype=torch.float32)).requires_grad_()
- Bs = torch.randn((B, K, N, L), device=device, dtype=itype).requires_grad_()
- Cs = torch.randn((B, K, N, L), device=device, dtype=itype).requires_grad_()
- Ds = torch.randn((K * C), device=device, dtype=torch.float32).requires_grad_()
- u = torch.randn((B, K * C, L), device=device, dtype=itype).requires_grad_()
- delta = (0.5 * torch.rand((B, K * C, L), device=device, dtype=itype)).requires_grad_()
- delta_bias = (0.5 * torch.rand((K * C), device=device, dtype=torch.float32)).requires_grad_()
- return u, delta, As, Bs, Cs, Ds, delta_bias
- def bench(func, xs, Warmup=30, NTimes=20):
- import time
- torch.cuda.synchronize()
- for r in range(Warmup):
- for x in xs:
- func(x)
- torch.cuda.synchronize()
- tim0 = time.time()
- for r in range(NTimes):
- for x in xs:
- func(x)
- torch.cuda.synchronize()
- return (time.time() - tim0) / NTimes
- def check():
- u, delta, As, Bs, Cs, Ds, delta_bias = params(1, 4, 16, 8, 512, itype=torch.float16)
- u1, delta1, As1, Bs1, Cs1, Ds1, delta_bias1 = [x.clone().detach().requires_grad_() for x in [u, delta, As, Bs, Cs, Ds, delta_bias]]
-
- # out_ref = selective_scan_fn(u, delta, As, Bs, Cs, Ds, delta_bias, True, backend="torch")
- out = selective_scan_fn(u1, delta1, As1, Bs1, Cs1, Ds1, delta_bias1, True, backend="oflex")
- out_ref = selective_scan_fn(u, delta, As, Bs, Cs, Ds, delta_bias, True, backend="mamba")
- print((out_ref - out).abs().max())
- out.sum().backward()
- out_ref.sum().backward()
- for x, y in zip([u, As, Bs, Cs, Ds, delta, delta_bias], [u1, As1, Bs1, Cs1, Ds1, delta1, delta_bias1]):
- print((x.grad - y.grad).abs().max())
- u, delta, As, Bs, Cs, Ds, delta_bias = params(128, 4, 96, 8, 56 * 56)
- print(bench(lambda x: selective_scan_fn(x[0], x[1], x[2], x[3], x[4], x[5], x[6], True, backend="oflex"), [(u, delta, As, Bs, Cs, Ds, delta_bias),]))
- print(bench(lambda x: selective_scan_fn(x[0], x[1], x[2], x[3], x[4], x[5], x[6], True, backend="mamba"), [(u, delta, As, Bs, Cs, Ds, delta_bias),]))
- print(bench(lambda x: selective_scan_fn(x[0], x[1], x[2], x[3], x[4], x[5], x[6], True, backend="torch"), [(u, delta, As, Bs, Cs, Ds, delta_bias),]))
- check()
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