374 lines
13 KiB
Python
Vendored
374 lines
13 KiB
Python
Vendored
# -*- coding: utf-8 -*-
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# Copyright (c) 2024, Yu Zhang, Songlin Yang
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# this function implements the chunkwise form of HGRN, inspired by
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# [Volodymyr Kyrylov in his blog post](https://proger.github.io/posts/scan/chunk.html)
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# also refer to the `accelerated-scan` lib: https://github.com/proger/accelerated-scan
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# from tests on H800, with B, H, D = 16, 4, 128, we see that the chunk can be greatly faster than the recurrent:
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#
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# Performance:
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# seq_len chunk recurrent chunk_bwd recurrent_bwd
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# 0 128.0 0.039360 0.061056 0.312160 0.205008
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# 1 256.0 0.045824 0.123712 0.308784 0.297696
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# 2 512.0 0.058688 0.241952 0.310720 0.626528
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# 3 1024.0 0.088288 0.476992 0.313184 1.333152
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# 4 2048.0 0.169472 0.943264 0.452464 2.724864
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# 5 4096.0 0.329920 1.886144 0.881600 5.551520
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# 6 8192.0 0.647872 3.755040 1.740496 11.117184
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# 7 16384.0 1.272064 7.520576 3.446608 22.362528
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from typing import Tuple
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import torch
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import triton
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import triton.language as tl
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from fla.utils import contiguous
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@triton.autotune(
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configs=[
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triton.Config({'BD': 32}, num_warps=1),
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triton.Config({'BD': 32}, num_warps=2),
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triton.Config({'BD': 32}, num_warps=4),
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triton.Config({'BD': 32}, num_warps=8),
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triton.Config({'BD': 64}, num_warps=1),
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triton.Config({'BD': 64}, num_warps=2),
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triton.Config({'BD': 64}, num_warps=4),
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triton.Config({'BD': 64}, num_warps=8),
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triton.Config({'BD': 128}, num_warps=1),
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triton.Config({'BD': 128}, num_warps=2),
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triton.Config({'BD': 128}, num_warps=4),
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triton.Config({'BD': 128}, num_warps=8),
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],
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key=['D']
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)
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@triton.jit
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def chunk_hgrn_fwd_kernel_h(
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x,
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g,
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gc,
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o,
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h0,
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T: tl.constexpr,
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D: tl.constexpr,
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BT: tl.constexpr,
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BD: tl.constexpr,
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USE_INITIAL_STATE: tl.constexpr
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):
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i_d, i_t, i_bh = tl.program_id(0), tl.program_id(1), tl.program_id(2)
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o_d = i_d * BD + tl.arange(0, BD)
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mask = o_d < D
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p_x = x + i_bh * T * D + i_t * BT * D + o_d
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p_g = g + i_bh * T * D + i_t * BT * D + o_d
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p_gc = gc + i_bh * T * D + i_t * BT * D + o_d
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p_o = o + i_bh * T * D + i_t * BT * D + o_d
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b_h = tl.zeros([BD], dtype=tl.float32)
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b_gc = tl.zeros([BD], dtype=tl.float32)
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if USE_INITIAL_STATE:
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if i_t == 0:
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b_h += tl.load(h0 + i_bh * D + o_d, mask=mask, other=0).to(tl.float32)
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for i in range(0, BT):
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mask_t = mask & ((i_t * BT + i) < T)
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b_x = tl.load(p_x, mask=mask_t, other=0).to(tl.float32)
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b_g = tl.load(p_g, mask=mask_t, other=0).to(tl.float32)
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b_h = tl.exp(b_g) * b_h + b_x
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b_gc = b_gc + b_g
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tl.store(p_gc, b_gc.to(p_o.dtype.element_ty), mask=mask_t)
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tl.store(p_o, b_h.to(p_o.dtype.element_ty), mask=mask_t)
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p_x += D
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p_g += D
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p_gc += D
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p_o += D
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@triton.jit
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def chunk_hgrn_fwd_kernel_o(
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gc,
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o,
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s_h,
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s_t,
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s_d,
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T: tl.constexpr,
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D: tl.constexpr,
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BT: tl.constexpr,
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BD: tl.constexpr
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):
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i_d, i_bh = tl.program_id(0), tl.program_id(1)
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o_d = i_d * BD + tl.arange(0, BD)
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mask = o_d < D
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for i_t in range(1, tl.cdiv(T, BT)):
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p_gc = tl.make_block_ptr(gc + i_bh * s_h, (T, D), (s_t, s_d), (i_t * BT, i_d * BD), (BT, BD), (1, 0))
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p_o = tl.make_block_ptr(o + i_bh * s_h, (T, D), (s_t, s_d), (i_t * BT, i_d * BD), (BT, BD), (1, 0))
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# [BD,]
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b_h0 = tl.load(o + i_bh * T * D + i_t * BT * D - D + o_d, mask=mask, other=0).to(tl.float32)
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# [BT, BD]
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b_gc = tl.load(p_gc, boundary_check=(0, 1)).to(tl.float32)
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b_o = tl.load(p_o, boundary_check=(0, 1)).to(tl.float32)
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b_o = b_o + tl.exp(b_gc) * b_h0[None, :]
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tl.store(p_o, b_o.to(p_o.dtype.element_ty), boundary_check=(0, 1))
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@triton.autotune(
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configs=[
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triton.Config({'BD': 32}, num_warps=1),
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triton.Config({'BD': 32}, num_warps=2),
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triton.Config({'BD': 32}, num_warps=4),
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triton.Config({'BD': 32}, num_warps=8),
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triton.Config({'BD': 64}, num_warps=1),
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triton.Config({'BD': 64}, num_warps=2),
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triton.Config({'BD': 64}, num_warps=4),
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triton.Config({'BD': 64}, num_warps=8),
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triton.Config({'BD': 128}, num_warps=1),
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triton.Config({'BD': 128}, num_warps=2),
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triton.Config({'BD': 128}, num_warps=4),
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triton.Config({'BD': 128}, num_warps=8),
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],
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key=['D']
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)
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@triton.jit
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def chunk_hgrn_bwd_kernel_h(
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g,
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gc,
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dx,
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do,
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T: tl.constexpr,
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D: tl.constexpr,
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BT: tl.constexpr,
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BD: tl.constexpr
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):
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i_d, i_t, i_bh = tl.program_id(0), tl.program_id(1), tl.program_id(2)
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o_d = i_d * BD + tl.arange(0, BD)
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mask = o_d < D
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BC = min(BT, T - i_t * BT)
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NT = tl.num_programs(1)
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p_g = g + (i_bh * T + i_t * BT + BC - 1) * D + o_d
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p_gc = gc + (i_bh * T + i_t * BT + BC - 1) * D + o_d
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p_dx = dx + (i_bh * T + i_t * BT + BC - 1) * D + o_d
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p_do = do + (i_bh * T + i_t * BT + BC - 1) * D + o_d
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if i_t == NT - 1:
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b_gc = tl.zeros([BD], dtype=tl.float32)
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else:
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b_gc = tl.load(g + (i_bh * T + i_t * BT + BT) * D + o_d, mask=mask, other=0).to(tl.float32)
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b_dh = tl.zeros([BD], dtype=tl.float32)
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for _ in range(BC - 1, -1, -1):
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tl.store(p_gc, b_gc.to(p_gc.dtype.element_ty), mask=mask)
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b_g = tl.load(p_g, mask=mask, other=0).to(tl.float32)
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b_do = tl.load(p_do, mask=mask, other=0).to(tl.float32)
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b_gc = b_gc + b_g
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b_dh = b_dh + b_do
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b_dx = b_dh
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b_dh = b_dh * tl.exp(b_g)
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tl.store(p_dx, b_dx.to(p_dx.dtype.element_ty), mask=mask)
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p_g -= D
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p_gc -= D
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p_dx -= D
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p_do -= D
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@triton.jit
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def chunk_hgrn_bwd_kernel_o(
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g,
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gc,
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o,
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dx,
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dg,
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s_h,
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s_t,
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s_d,
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T: tl.constexpr,
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D: tl.constexpr,
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BT: tl.constexpr,
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BD: tl.constexpr
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):
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i_d, i_bh = tl.program_id(0), tl.program_id(1)
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o_d = i_d * BD + tl.arange(0, BD)
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mask = o_d < D
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for i_t in range(tl.cdiv(T, BT) - 1, -1, -1):
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p_g = tl.make_block_ptr(g + i_bh * s_h, (T, D), (s_t, s_d), (i_t * BT, i_d * BD), (BT, BD), (1, 0))
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p_gc = tl.make_block_ptr(gc + i_bh * s_h, (T, D), (s_t, s_d), (i_t * BT, i_d * BD), (BT, BD), (1, 0))
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p_o = tl.make_block_ptr(o + i_bh * s_h, (T, D), (s_t, s_d), (i_t * BT - 1, i_d * BD), (BT, BD), (1, 0))
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p_dx = tl.make_block_ptr(dx + i_bh * s_h, (T, D), (s_t, s_d), (i_t * BT, i_d * BD), (BT, BD), (1, 0))
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p_dg = tl.make_block_ptr(dg + i_bh * s_h, (T, D), (s_t, s_d), (i_t * BT, i_d * BD), (BT, BD), (1, 0))
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# [BD,]
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mask_t = mask & ((i_t + 1) * BT < T)
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b_ht = tl.load(dx + i_bh * T * D + (i_t + 1) * BT * D + o_d, mask=mask_t, other=0).to(tl.float32)
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# [BT, BD]
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b_g = tl.load(p_g, boundary_check=(0, 1)).to(tl.float32)
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b_gc = tl.load(p_gc, boundary_check=(0, 1)).to(tl.float32)
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b_o = tl.load(p_o, boundary_check=(0, 1)).to(tl.float32)
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b_dx = tl.load(p_dx, boundary_check=(0, 1)).to(tl.float32)
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b_dg = tl.load(p_dg, boundary_check=(0, 1)).to(tl.float32)
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b_dx = b_dx + tl.exp(b_gc) * b_ht[None, :]
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b_dg = b_o * b_dx * tl.exp(b_g)
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tl.store(p_dx, b_dx.to(p_dx.dtype.element_ty), boundary_check=(0, 1))
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tl.store(p_dg, b_dg.to(p_dg.dtype.element_ty), boundary_check=(0, 1))
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class ChunkHGRNFunction(torch.autograd.Function):
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@staticmethod
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@contiguous
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def forward(ctx, x, g, initial_state=None, output_final_state=False):
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B, H, T, D = x.shape
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BT, BD = 128, min(64, triton.next_power_of_2(D))
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num_warps = 8 if BD == 64 else 4
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gc = torch.empty_like(g, dtype=torch.float)
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o = torch.empty_like(x, dtype=torch.float)
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def grid(meta): return (triton.cdiv(D, meta['BD']), triton.cdiv(T, meta['BT']), B * H)
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chunk_hgrn_fwd_kernel_h[grid](
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x, g, gc, o, initial_state,
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T, D,
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BT=BT,
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USE_INITIAL_STATE=initial_state is not None
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)
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def grid(meta): return (triton.cdiv(D, meta['BD']), B * H)
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chunk_hgrn_fwd_kernel_o[grid](
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gc, o,
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o.stride(1), o.stride(2), o.stride(3),
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T, D,
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BT=BT, BD=BD,
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num_warps=num_warps
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)
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final_state = None
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if output_final_state:
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final_state = o[:, :, -1].clone()
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o = o.to(x.dtype)
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ctx.save_for_backward(g, o, initial_state)
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return o, final_state
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@staticmethod
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@contiguous
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def backward(ctx, do, dht=None):
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g, o, initial_state = ctx.saved_tensors
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B, H, T, D = do.shape
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BT, BD = 128, min(64, triton.next_power_of_2(D))
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num_warps = 8 if BD == 64 else 4
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gc = torch.empty_like(g, dtype=torch.float)
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dx = torch.empty_like(o)
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dg = torch.empty_like(g)
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def grid(meta): return (triton.cdiv(D, meta['BD']), triton.cdiv(T, meta['BT']), B * H)
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chunk_hgrn_bwd_kernel_h[grid](
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g, gc, dx, do,
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T, D,
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BT=BT
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)
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def grid(meta): return (triton.cdiv(D, meta['BD']), B * H)
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chunk_hgrn_bwd_kernel_o[grid](
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g, gc, o, dx, dg,
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o.stride(1), o.stride(2), o.stride(3),
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T, D,
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BT=BT, BD=BD,
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num_warps=num_warps
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)
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if initial_state is not None:
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dg[:, :, 0] = initial_state * dx[:, :, 0] * g[:, :, 0].exp()
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return dx, dg, None, None
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def chunk_hgrn(
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x: torch.Tensor,
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g: torch.Tensor,
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initial_state: torch.Tensor = None,
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output_final_state: bool = False
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) -> Tuple[torch.Tensor, torch.Tensor]:
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if initial_state is not None:
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initial_state = initial_state.detach()
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o, final_state = ChunkHGRNFunction.apply(x, g, initial_state, output_final_state)
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return o, final_state
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if __name__ == '__main__':
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import torch.nn.functional as F
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from fla.ops.hgrn.naive import naive_recurrent_hgrn
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from fla.ops.hgrn.recurrent_fuse import fused_recurrent_hgrn
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B, H, T, D = 8, 4, 512, 128
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dtype = torch.bfloat16
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torch.manual_seed(42)
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# [batch_size, n_heads, seq_len, d_head]
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x = torch.randn((B, H, T, D), dtype=dtype, device='cuda')
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g = torch.randn((B, H, T, D), dtype=dtype, device='cuda')
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x, g = (1 - g.sigmoid()) * x, F.logsigmoid(g)
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print(f'x:\t{float(x.min()):>10.6f}\t{float(x.max()):>10.6f}')
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print(f'g:\t{float(g.min()):>10.6f}\t{float(g.max()):>10.6f}')
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x, g = (i.detach().clone().to(dtype).requires_grad_() for i in (x, g))
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print(f"DTYPE:\t{x.dtype}")
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do = torch.randn_like(x)
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h0 = torch.randn_like(x[:, :, 0])
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ref, ref_ht = naive_recurrent_hgrn(x, g, h0, output_final_state=True)
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ref.backward(do)
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ref_dx, x.grad = x.grad.clone(), None
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ref_dg, g.grad = g.grad.clone(), None
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tri, tri_ht = fused_recurrent_hgrn(x, g, h0, output_final_state=True)
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tri.backward(do)
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tri_dx, x.grad = x.grad.clone(), None
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tri_dg, g.grad = g.grad.clone(), None
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print(" \t DIFF\t MAX")
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print(' o\t', f"{float((ref - tri).abs().max()):>10.6f}\t{float(ref.max()):>10.6f}")
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print('ht\t', f"{float((ref_ht[0] - tri_ht[0]).abs().max()):>10.6f}\t{float(ref.max()):>10.6f}")
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print('dx\t', f"{float((ref_dx - tri_dx).abs().max()):>10.6f}\t{float(ref_dx.max()):>10.6f}")
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print('dg\t', f"{float((ref_dg - tri_dg).abs().max()):>10.6f}\t{float(ref_dg.max()):>10.6f}")
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print('Done!')
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@triton.testing.perf_report(
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triton.testing.Benchmark(
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# argument names to use as an x-axis for the plot
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x_names=['seq_len'],
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# different possible values for `x_name`
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x_vals=[128 * 2 ** i for i in range(0, 8)],
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# argument name whose value corresponds to a different line in the plot
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line_arg='provider',
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# possible values for `line_arg``
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line_vals=['chunk', 'recurrent', 'chunk_bwd', 'recurrent_bwd'],
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# label name for the lines
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line_names=['chunk', 'recurrent', 'chunk_bwd', 'recurrent_bwd'],
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# line styles
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styles=[('green', '-'), ('blue', '--'), ('red', '-.'), ('cyan', ':'), ('yellow', 'dotted'), ('black', 'dashed')],
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ylabel="Execution Time (ms)", # label name for the y-axis
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# name for the plot. Used also as a file name for saving the plot.
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plot_name="Performance",
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args={},
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)
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)
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def benchmark(seq_len, provider):
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dtype = torch.bfloat16
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B, H, D = 16, 4, 128
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x = torch.randn((B, H, seq_len, D), dtype=dtype, device='cuda')
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g = torch.randn((B, H, seq_len, D), dtype=dtype, device='cuda').sigmoid()
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x = (1 - g) * x
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x, g = (i.detach().clone().to(dtype).requires_grad_() for i in (x, g))
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do = torch.randn_like(x, dtype=dtype)
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quantiles = [0.5, 0.2, 0.8]
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results = 0, 0, 0
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if provider == 'chunk':
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results = triton.testing.do_bench(lambda: chunk_hgrn(x, g), quantiles=quantiles)
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if provider == 'recurrent':
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results = triton.testing.do_bench(lambda: fused_recurrent_hgrn(x, g), quantiles=quantiles)
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if provider == 'chunk_bwd':
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results = triton.testing.do_bench(lambda: chunk_hgrn(x, g)[0].backward(do), quantiles=quantiles)
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if provider == 'recurrent_bwd':
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results = triton.testing.do_bench(lambda: fused_recurrent_hgrn(x, g)[0].backward(do), quantiles=quantiles)
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return results
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benchmark.run(print_data=True)
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