2023-06-09 15:48:13 +00:00
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import math
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import numpy as np
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import torch
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import torch.nn as nn
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from torch.cuda.amp import custom_bwd, custom_fwd
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try:
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import triton
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import triton.language as tl
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from . import custom_autotune
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# code based https://github.com/fpgaminer/GPTQ-triton
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@custom_autotune.autotune(
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configs=[
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2023-06-13 11:45:08 +00:00
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triton.Config(
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{
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"BLOCK_SIZE_M": 64,
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"BLOCK_SIZE_N": 256,
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"BLOCK_SIZE_K": 32,
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"GROUP_SIZE_M": 8,
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},
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num_stages=4,
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num_warps=4,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 128,
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"BLOCK_SIZE_N": 128,
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"BLOCK_SIZE_K": 32,
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"GROUP_SIZE_M": 8,
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},
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num_stages=4,
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num_warps=4,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 64,
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"BLOCK_SIZE_N": 128,
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"BLOCK_SIZE_K": 32,
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"GROUP_SIZE_M": 8,
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},
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num_stages=4,
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num_warps=4,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 128,
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"BLOCK_SIZE_N": 32,
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"BLOCK_SIZE_K": 32,
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"GROUP_SIZE_M": 8,
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},
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num_stages=4,
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num_warps=4,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 64,
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"BLOCK_SIZE_N": 64,
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"BLOCK_SIZE_K": 32,
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"GROUP_SIZE_M": 8,
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},
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num_stages=4,
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num_warps=4,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 64,
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"BLOCK_SIZE_N": 128,
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"BLOCK_SIZE_K": 32,
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"GROUP_SIZE_M": 8,
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},
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num_stages=2,
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num_warps=8,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 64,
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"BLOCK_SIZE_N": 64,
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"BLOCK_SIZE_K": 64,
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"GROUP_SIZE_M": 8,
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},
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num_stages=3,
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num_warps=8,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 32,
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"BLOCK_SIZE_N": 32,
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"BLOCK_SIZE_K": 128,
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"GROUP_SIZE_M": 8,
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},
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num_stages=2,
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num_warps=4,
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),
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2023-06-09 15:48:13 +00:00
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],
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2023-06-13 11:45:08 +00:00
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key=["M", "N", "K"],
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2023-06-09 15:48:13 +00:00
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nearest_power_of_two=True,
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prune_configs_by={
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2023-06-13 11:45:08 +00:00
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"early_config_prune": custom_autotune.matmul248_kernel_config_pruner,
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"perf_model": None,
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"top_k": None,
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2023-06-09 15:48:13 +00:00
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},
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)
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@triton.jit
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2023-06-13 11:45:08 +00:00
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def matmul_248_kernel(
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a_ptr,
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b_ptr,
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c_ptr,
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scales_ptr,
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zeros_ptr,
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g_ptr,
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M,
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N,
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K,
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bits,
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maxq,
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stride_am,
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stride_ak,
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stride_bk,
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stride_bn,
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stride_cm,
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stride_cn,
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stride_scales,
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stride_zeros,
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BLOCK_SIZE_M: tl.constexpr,
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BLOCK_SIZE_N: tl.constexpr,
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BLOCK_SIZE_K: tl.constexpr,
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GROUP_SIZE_M: tl.constexpr,
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):
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2023-06-09 15:48:13 +00:00
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"""
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Compute the matrix multiplication C = A x B.
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A is of shape (M, K) float16
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B is of shape (K//8, N) int32
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C is of shape (M, N) float16
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scales is of shape (G, N) float16
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zeros is of shape (G, N) float16
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2023-06-13 11:45:08 +00:00
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g_ptr is of shape (K) int32
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2023-06-09 15:48:13 +00:00
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"""
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infearure_per_bits = 32 // bits
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pid = tl.program_id(axis=0)
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num_pid_m = tl.cdiv(M, BLOCK_SIZE_M)
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num_pid_n = tl.cdiv(N, BLOCK_SIZE_N)
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num_pid_k = tl.cdiv(K, BLOCK_SIZE_K)
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num_pid_in_group = GROUP_SIZE_M * num_pid_n
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group_id = pid // num_pid_in_group
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first_pid_m = group_id * GROUP_SIZE_M
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group_size_m = min(num_pid_m - first_pid_m, GROUP_SIZE_M)
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pid_m = first_pid_m + (pid % group_size_m)
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pid_n = (pid % num_pid_in_group) // group_size_m
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offs_am = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
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offs_bn = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
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offs_k = tl.arange(0, BLOCK_SIZE_K)
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2023-06-13 11:45:08 +00:00
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a_ptrs = a_ptr + (
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offs_am[:, None] * stride_am + offs_k[None, :] * stride_ak
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) # (BLOCK_SIZE_M, BLOCK_SIZE_K)
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a_mask = offs_am[:, None] < M
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2023-06-09 15:48:13 +00:00
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# b_ptrs is set up such that it repeats elements along the K axis 8 times
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2023-06-13 11:45:08 +00:00
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b_ptrs = b_ptr + (
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(offs_k[:, None] // infearure_per_bits) * stride_bk
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+ offs_bn[None, :] * stride_bn
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) # (BLOCK_SIZE_K, BLOCK_SIZE_N)
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2023-06-09 15:48:13 +00:00
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g_ptrs = g_ptr + offs_k
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# shifter is used to extract the N bits of each element in the 32-bit word from B
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scales_ptrs = scales_ptr + offs_bn[None, :]
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zeros_ptrs = zeros_ptr + (offs_bn[None, :] // infearure_per_bits)
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shifter = (offs_k % infearure_per_bits) * bits
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zeros_shifter = (offs_bn % infearure_per_bits) * bits
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accumulator = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32)
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for k in range(0, num_pid_k):
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g_idx = tl.load(g_ptrs)
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# Fetch scales and zeros; these are per-outfeature and thus reused in the inner loop
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2023-06-13 11:45:08 +00:00
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scales = tl.load(
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scales_ptrs + g_idx[:, None] * stride_scales
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) # (BLOCK_SIZE_K, BLOCK_SIZE_N,)
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zeros = tl.load(
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zeros_ptrs + g_idx[:, None] * stride_zeros
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) # (BLOCK_SIZE_K, BLOCK_SIZE_N,)
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2023-06-09 15:48:13 +00:00
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zeros = (zeros >> zeros_shifter[None, :]) & maxq
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2023-06-13 11:45:08 +00:00
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zeros = zeros + 1
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2023-06-09 15:48:13 +00:00
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2023-06-13 11:45:08 +00:00
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a = tl.load(a_ptrs, mask=a_mask, other=0.0) # (BLOCK_SIZE_M, BLOCK_SIZE_K)
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2023-06-09 15:48:13 +00:00
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b = tl.load(b_ptrs) # (BLOCK_SIZE_K, BLOCK_SIZE_N), but repeated
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# Now we need to unpack b (which is N-bit values) into 32-bit values
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b = (b >> shifter[:, None]) & maxq # Extract the N-bit values
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b = (b - zeros) * scales # Scale and shift
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accumulator += tl.dot(a, b)
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a_ptrs += BLOCK_SIZE_K
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b_ptrs += (BLOCK_SIZE_K // infearure_per_bits) * stride_bk
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g_ptrs += BLOCK_SIZE_K
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c_ptrs = c_ptr + stride_cm * offs_am[:, None] + stride_cn * offs_bn[None, :]
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c_mask = (offs_am[:, None] < M) & (offs_bn[None, :] < N)
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tl.store(c_ptrs, accumulator, mask=c_mask)
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2023-06-13 11:45:08 +00:00
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@custom_autotune.autotune(
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configs=[
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triton.Config(
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{
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"BLOCK_SIZE_M": 64,
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"BLOCK_SIZE_N": 32,
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"BLOCK_SIZE_K": 256,
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"GROUP_SIZE_M": 8,
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},
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num_stages=4,
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num_warps=4,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 128,
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"BLOCK_SIZE_N": 32,
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"BLOCK_SIZE_K": 128,
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"GROUP_SIZE_M": 8,
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},
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num_stages=4,
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num_warps=4,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 64,
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"BLOCK_SIZE_N": 32,
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"BLOCK_SIZE_K": 128,
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"GROUP_SIZE_M": 8,
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},
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num_stages=4,
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num_warps=4,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 128,
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"BLOCK_SIZE_N": 32,
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"BLOCK_SIZE_K": 32,
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"GROUP_SIZE_M": 8,
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},
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num_stages=4,
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num_warps=4,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 64,
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"BLOCK_SIZE_N": 32,
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"BLOCK_SIZE_K": 64,
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"GROUP_SIZE_M": 8,
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},
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num_stages=4,
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num_warps=4,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 64,
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"BLOCK_SIZE_N": 32,
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"BLOCK_SIZE_K": 128,
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"GROUP_SIZE_M": 8,
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},
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num_stages=2,
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num_warps=8,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 64,
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"BLOCK_SIZE_N": 64,
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"BLOCK_SIZE_K": 64,
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"GROUP_SIZE_M": 8,
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},
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num_stages=3,
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num_warps=8,
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),
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triton.Config(
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{
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"BLOCK_SIZE_M": 32,
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"BLOCK_SIZE_N": 128,
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"BLOCK_SIZE_K": 32,
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"GROUP_SIZE_M": 8,
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},
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num_stages=2,
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num_warps=4,
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),
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],
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key=["M", "N", "K"],
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nearest_power_of_two=True,
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)
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2023-06-09 15:48:13 +00:00
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@triton.jit
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2023-06-13 11:45:08 +00:00
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def transpose_matmul_248_kernel(
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a_ptr,
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b_ptr,
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c_ptr,
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scales_ptr,
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zeros_ptr,
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g_ptr,
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M,
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N,
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K,
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bits,
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maxq,
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stride_am,
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stride_ak,
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stride_bk,
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stride_bn,
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stride_cm,
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stride_cn,
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stride_scales,
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stride_zeros,
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BLOCK_SIZE_M: tl.constexpr,
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BLOCK_SIZE_N: tl.constexpr,
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BLOCK_SIZE_K: tl.constexpr,
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GROUP_SIZE_M: tl.constexpr,
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):
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2023-06-09 15:48:13 +00:00
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"""
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Compute the matrix multiplication C = A x B.
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A is of shape (M, N) float16
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B is of shape (K//8, N) int32
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C is of shape (M, K) float16
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scales is of shape (G, N) float16
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zeros is of shape (G, N) float16
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2023-06-13 11:45:08 +00:00
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g_ptr is of shape (K) int32
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2023-06-09 15:48:13 +00:00
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"""
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infearure_per_bits = 32 // bits
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pid = tl.program_id(axis=0)
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num_pid_m = tl.cdiv(M, BLOCK_SIZE_M)
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num_pid_k = tl.cdiv(K, BLOCK_SIZE_K)
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num_pid_n = tl.cdiv(N, BLOCK_SIZE_N)
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num_pid_in_group = GROUP_SIZE_M * num_pid_k
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group_id = pid // num_pid_in_group
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first_pid_m = group_id * GROUP_SIZE_M
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group_size_m = min(num_pid_m - first_pid_m, GROUP_SIZE_M)
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pid_m = first_pid_m + (pid % group_size_m)
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pid_k = (pid % num_pid_in_group) // group_size_m
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offs_am = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
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offs_bk = pid_k * BLOCK_SIZE_K + tl.arange(0, BLOCK_SIZE_K)
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offs_n = tl.arange(0, BLOCK_SIZE_N)
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2023-06-13 11:45:08 +00:00
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a_ptrs = a_ptr + (
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offs_am[:, None] * stride_am + offs_n[None, :] * stride_ak
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) # (BLOCK_SIZE_M, BLOCK_SIZE_N)
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a_mask = offs_am[:, None] < M
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2023-06-09 15:48:13 +00:00
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# b_ptrs is set up such that it repeats elements along the K axis 8 times
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2023-06-13 11:45:08 +00:00
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|
b_ptrs = b_ptr + (
|
|
|
|
(offs_bk[:, None] // infearure_per_bits) * stride_bk
|
|
|
|
+ offs_n[None, :] * stride_bn
|
|
|
|
) # (BLOCK_SIZE_K, BLOCK_SIZE_N)
|
2023-06-09 15:48:13 +00:00
|
|
|
g_ptrs = g_ptr + offs_bk
|
|
|
|
g_idx = tl.load(g_ptrs)
|
|
|
|
|
|
|
|
# shifter is used to extract the N bits of each element in the 32-bit word from B
|
|
|
|
scales_ptrs = scales_ptr + offs_n[None, :] + g_idx[:, None] * stride_scales
|
2023-06-13 11:45:08 +00:00
|
|
|
zeros_ptrs = (
|
|
|
|
zeros_ptr
|
|
|
|
+ (offs_n[None, :] // infearure_per_bits)
|
|
|
|
+ g_idx[:, None] * stride_zeros
|
|
|
|
)
|
2023-06-09 15:48:13 +00:00
|
|
|
|
|
|
|
shifter = (offs_bk % infearure_per_bits) * bits
|
|
|
|
zeros_shifter = (offs_n % infearure_per_bits) * bits
|
|
|
|
accumulator = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_K), dtype=tl.float32)
|
|
|
|
|
|
|
|
for n in range(0, num_pid_n):
|
|
|
|
# Fetch scales and zeros; these are per-outfeature and thus reused in the inner loop
|
|
|
|
scales = tl.load(scales_ptrs) # (BLOCK_SIZE_K, BLOCK_SIZE_N,)
|
|
|
|
zeros = tl.load(zeros_ptrs) # (BLOCK_SIZE_K, BLOCK_SIZE_N,)
|
|
|
|
|
|
|
|
zeros = (zeros >> zeros_shifter[None, :]) & maxq
|
2023-06-13 11:45:08 +00:00
|
|
|
zeros = zeros + 1
|
2023-06-09 15:48:13 +00:00
|
|
|
|
2023-06-13 11:45:08 +00:00
|
|
|
a = tl.load(a_ptrs, mask=a_mask, other=0.0) # (BLOCK_SIZE_M, BLOCK_SIZE_N)
|
2023-06-09 15:48:13 +00:00
|
|
|
b = tl.load(b_ptrs) # (BLOCK_SIZE_K, BLOCK_SIZE_N), but repeated
|
|
|
|
|
|
|
|
# Now we need to unpack b (which is N-bit values) into 32-bit values
|
|
|
|
b = (b >> shifter[:, None]) & maxq # Extract the N-bit values
|
|
|
|
b = (b - zeros) * scales # Scale and shift
|
|
|
|
b = tl.trans(b)
|
|
|
|
|
|
|
|
accumulator += tl.dot(a, b)
|
|
|
|
a_ptrs += BLOCK_SIZE_N
|
|
|
|
b_ptrs += BLOCK_SIZE_N
|
|
|
|
scales_ptrs += BLOCK_SIZE_N
|
2023-06-13 11:45:08 +00:00
|
|
|
zeros_ptrs += BLOCK_SIZE_N // infearure_per_bits
|
2023-06-09 15:48:13 +00:00
|
|
|
|
|
|
|
c_ptrs = c_ptr + stride_cm * offs_am[:, None] + stride_cn * offs_bk[None, :]
|
|
|
|
c_mask = (offs_am[:, None] < M) & (offs_bk[None, :] < K)
|
|
|
|
tl.store(c_ptrs, accumulator, mask=c_mask)
|
2023-06-13 11:45:08 +00:00
|
|
|
|
2023-06-09 15:48:13 +00:00
|
|
|
except:
|
2023-06-13 11:45:08 +00:00
|
|
|
print("triton not installed.")
|
2023-06-09 15:48:13 +00:00
|
|
|
|
|
|
|
|
|
|
|
def matmul248(input, qweight, scales, qzeros, g_idx, bits, maxq):
|
|
|
|
with torch.cuda.device(input.device):
|
2023-06-13 11:45:08 +00:00
|
|
|
output = torch.empty(
|
|
|
|
(input.shape[0], qweight.shape[1]), device=input.device, dtype=torch.float16
|
|
|
|
)
|
|
|
|
grid = lambda META: (
|
|
|
|
triton.cdiv(input.shape[0], META["BLOCK_SIZE_M"])
|
|
|
|
* triton.cdiv(qweight.shape[1], META["BLOCK_SIZE_N"]),
|
|
|
|
)
|
|
|
|
matmul_248_kernel[grid](
|
|
|
|
input,
|
|
|
|
qweight,
|
|
|
|
output,
|
|
|
|
scales,
|
|
|
|
qzeros,
|
|
|
|
g_idx,
|
|
|
|
input.shape[0],
|
|
|
|
qweight.shape[1],
|
|
|
|
input.shape[1],
|
|
|
|
bits,
|
|
|
|
maxq,
|
|
|
|
input.stride(0),
|
|
|
|
input.stride(1),
|
|
|
|
qweight.stride(0),
|
|
|
|
qweight.stride(1),
|
|
|
|
output.stride(0),
|
|
|
|
output.stride(1),
|
|
|
|
scales.stride(0),
|
|
|
|
qzeros.stride(0),
|
|
|
|
)
|
2023-06-09 15:48:13 +00:00
|
|
|
return output
|
|
|
|
|
|
|
|
|
|
|
|
def transpose_matmul248(input, qweight, scales, qzeros, g_idx, bits, maxq):
|
|
|
|
with torch.cuda.device(input.device):
|
|
|
|
output_dim = (qweight.shape[0] * 32) // bits
|
2023-06-13 11:45:08 +00:00
|
|
|
output = torch.empty(
|
|
|
|
(input.shape[0], output_dim), device=input.device, dtype=torch.float16
|
|
|
|
)
|
|
|
|
grid = lambda META: (
|
|
|
|
triton.cdiv(input.shape[0], META["BLOCK_SIZE_M"])
|
|
|
|
* triton.cdiv(output_dim, META["BLOCK_SIZE_K"]),
|
|
|
|
)
|
|
|
|
transpose_matmul_248_kernel[grid](
|
|
|
|
input,
|
|
|
|
qweight,
|
|
|
|
output,
|
|
|
|
scales,
|
|
|
|
qzeros,
|
|
|
|
g_idx,
|
|
|
|
input.shape[0],
|
|
|
|
qweight.shape[1],
|
|
|
|
output_dim,
|
|
|
|
bits,
|
|
|
|
maxq,
|
|
|
|
input.stride(0),
|
|
|
|
input.stride(1),
|
|
|
|
qweight.stride(0),
|
|
|
|
qweight.stride(1),
|
|
|
|
output.stride(0),
|
|
|
|
output.stride(1),
|
|
|
|
scales.stride(0),
|
|
|
|
qzeros.stride(0),
|
|
|
|
)
|
2023-06-09 15:48:13 +00:00
|
|
|
return output
|
|
|
|
|
|
|
|
|
|
|
|
class QuantLinearFunction(torch.autograd.Function):
|
|
|
|
@staticmethod
|
|
|
|
@custom_fwd(cast_inputs=torch.float16)
|
|
|
|
def forward(ctx, input, qweight, scales, qzeros, g_idx, bits, maxq):
|
|
|
|
output = matmul248(input, qweight, scales, qzeros, g_idx, bits, maxq)
|
|
|
|
ctx.save_for_backward(qweight, scales, qzeros, g_idx)
|
|
|
|
ctx.bits, ctx.maxq = bits, maxq
|
|
|
|
return output
|
|
|
|
|
|
|
|
@staticmethod
|
|
|
|
@custom_bwd
|
|
|
|
def backward(ctx, grad_output):
|
|
|
|
qweight, scales, qzeros, g_idx = ctx.saved_tensors
|
|
|
|
bits, maxq = ctx.bits, ctx.maxq
|
|
|
|
grad_input = None
|
|
|
|
|
|
|
|
if ctx.needs_input_grad[0]:
|
2023-06-13 11:45:08 +00:00
|
|
|
grad_input = transpose_matmul248(
|
|
|
|
grad_output, qweight, scales, qzeros, g_idx, bits, maxq
|
|
|
|
)
|
2023-06-09 15:48:13 +00:00
|
|
|
return grad_input, None, None, None, None, None, None
|
|
|
|
|
|
|
|
|
|
|
|
class QuantLinear(nn.Module):
|
|
|
|
def __init__(self, qweight, qzeros, scales, g_idx, bias, bits, groupsize):
|
|
|
|
super().__init__()
|
|
|
|
self.qweight = qweight
|
|
|
|
self.qzeros = qzeros
|
|
|
|
self.scales = scales
|
|
|
|
self.g_idx = g_idx
|
|
|
|
self.bias = bias
|
|
|
|
if bits not in [2, 4, 8]:
|
|
|
|
raise NotImplementedError("Only 2,4,8 bits are supported.")
|
|
|
|
self.bits = bits
|
|
|
|
self.maxq = 2**self.bits - 1
|
|
|
|
self.groupsize = groupsize
|
|
|
|
|
|
|
|
self.outfeatures = qweight.shape[1]
|
|
|
|
self.infeatures = qweight.shape[0] * 32 // 4
|
|
|
|
|
2023-06-13 11:45:08 +00:00
|
|
|
@classmethod
|
|
|
|
def new(cls, bits, groupsize, infeatures, outfeatures, bias):
|
|
|
|
super().__init__()
|
|
|
|
if bits not in [2, 4, 8]:
|
|
|
|
raise NotImplementedError("Only 2,4,8 bits are supported.")
|
|
|
|
|
|
|
|
qweight = torch.zeros(
|
|
|
|
(infeatures // 32 * self.bits, outfeatures), dtype=torch.int32
|
|
|
|
)
|
|
|
|
qzeros = torch.zeros(
|
|
|
|
(math.ceil(infeatures / self.groupsize), outfeatures // 32 * self.bits),
|
|
|
|
dtype=torch.int32,
|
|
|
|
)
|
|
|
|
scales = torch.zeros(
|
|
|
|
(math.ceil(infeatures / self.groupsize), outfeatures), dtype=torch.float16
|
|
|
|
)
|
|
|
|
g_idx = torch.tensor(
|
|
|
|
[i // self.groupsize for i in range(infeatures)], dtype=torch.int32
|
|
|
|
)
|
|
|
|
if bias:
|
|
|
|
bias = torch.zeros((outfeatures), dtype=torch.float16)
|
|
|
|
else:
|
|
|
|
bias = None
|
|
|
|
return cls(qweight, qzeros, scales, g_idx, bias, bits, groupsize)
|
|
|
|
|
2023-06-09 15:48:13 +00:00
|
|
|
def forward(self, x):
|
2023-06-13 11:45:08 +00:00
|
|
|
out_shape = x.shape[:-1] + (self.outfeatures,)
|
|
|
|
out = QuantLinearFunction.apply(
|
|
|
|
x.reshape(-1, x.shape[-1]),
|
|
|
|
self.qweight,
|
|
|
|
self.scales,
|
|
|
|
self.qzeros,
|
|
|
|
self.g_idx,
|
|
|
|
self.bits,
|
|
|
|
self.maxq,
|
|
|
|
)
|
2023-06-09 15:48:13 +00:00
|
|
|
out = out + self.bias if self.bias is not None else out
|
|
|
|
return out.reshape(out_shape)
|