Commit Β·
bc4bbbe
1
Parent(s): 91c163e
chore: libdevice not present in the current version
Browse files- kernel/quant_cache.py +45 -119
kernel/quant_cache.py
CHANGED
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@@ -1,51 +1,40 @@
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"""
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Per-Head Mixed-Precision KV Cache
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----------------------------------
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Quantizes each attention head's K and V tensors
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to either 4-bit or 8-bit based on calibrated sensitivity.
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-
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Layout per head:
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- quantized data (int8 tensor, packed for 4-bit)
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- scale (float16 scalar)
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- zero_point (float16 scalar)
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"""
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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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import json
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import os
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# βββ Triton Kernels βββββββββββββββββββββββββββββββββββββββββββββββ
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@triton.jit
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def quantize_8bit_kernel(
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x_ptr,
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-
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scale_ptr, # output scalar float32
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zp_ptr, # output scalar float32
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N, # total elements = seq * head_dim
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BLOCK: tl.constexpr,
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):
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pid
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offs = pid * BLOCK + tl.arange(0, BLOCK)
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mask = offs < N
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x = tl.load(x_ptr + offs, mask=mask, other=0.0).to(tl.float32)
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# compute scale and zero point from min/max
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x_min = tl.min(x, axis=0)
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x_max = tl.max(x, axis=0)
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scale = (x_max - x_min) / 255.0
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scale = tl.
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zp = x_min
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#
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q =
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q = tl.
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tl.store(q_ptr
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# only first thread writes scale/zp
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if pid == 0:
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tl.store(scale_ptr, scale)
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tl.store(zp_ptr, zp)
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@@ -53,18 +42,14 @@ def quantize_8bit_kernel(
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@triton.jit
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def dequantize_8bit_kernel(
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q_ptr,
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-
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zp_ptr, # input scalar
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out_ptr, # output [seq, head_dim] float16
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N,
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BLOCK: tl.constexpr,
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):
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pid = tl.program_id(0)
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offs = pid * BLOCK + tl.arange(0, BLOCK)
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mask = offs < N
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q = tl.load(q_ptr
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scale = tl.load(scale_ptr).to(tl.float32)
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zp = tl.load(zp_ptr).to(tl.float32)
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@@ -74,15 +59,10 @@ def dequantize_8bit_kernel(
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@triton.jit
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def quantize_4bit_kernel(
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x_ptr,
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-
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scale_ptr,
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zp_ptr,
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N, # total elements (must be even)
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BLOCK: tl.constexpr,
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):
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pid
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# each thread block handles BLOCK output bytes = BLOCK*2 input elements
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offs_out = pid * BLOCK + tl.arange(0, BLOCK)
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offs_in = offs_out * 2
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mask = offs_in + 1 < N
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@@ -90,22 +70,19 @@ def quantize_4bit_kernel(
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x0 = tl.load(x_ptr + offs_in, mask=mask, other=0.0).to(tl.float32)
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x1 = tl.load(x_ptr + offs_in + 1, mask=mask, other=0.0).to(tl.float32)
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# share scale across both elements
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x_min = tl.minimum(tl.min(x0, axis=0), tl.min(x1, axis=0))
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x_max = tl.maximum(tl.max(x0, axis=0), tl.max(x1, axis=0))
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scale = (x_max - x_min) / 15.0
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scale = tl.
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zp = x_min
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q0 =
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q1 =
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q0 = tl.
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q1 = tl.
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# pack two 4-bit values into one int8 byte
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packed = q0 | (q1 << 4)
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tl.store(q_ptr + offs_out, packed, mask=mask)
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-
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if pid == 0:
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tl.store(scale_ptr, scale)
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tl.store(zp_ptr, zp)
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@@ -113,12 +90,8 @@ def quantize_4bit_kernel(
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@triton.jit
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def dequantize_4bit_kernel(
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q_ptr,
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-
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zp_ptr,
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out_ptr,
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N,
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BLOCK: tl.constexpr,
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):
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pid = tl.program_id(0)
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offs_out = pid * BLOCK + tl.arange(0, BLOCK)
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@@ -129,7 +102,6 @@ def dequantize_4bit_kernel(
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scale = tl.load(scale_ptr).to(tl.float32)
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zp = tl.load(zp_ptr).to(tl.float32)
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# unpack
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q0 = (packed & 0x0F).to(tl.float32)
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q1 = ((packed >> 4) & 0x0F).to(tl.float32)
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@@ -145,26 +117,20 @@ def dequantize_4bit_kernel(
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BLOCK_SIZE = 1024
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def quantize_head(x: torch.Tensor, bits: int):
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Quantize a single head tensor using Triton kernel.
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x: [seq_len, head_dim] float16
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returns: (q, scale, zp)
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"""
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x = x.contiguous()
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N = x.numel()
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scale = torch.zeros(1, dtype=torch.float32, device=x.device)
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zp = torch.zeros(1, dtype=torch.float32, device=x.device)
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if bits == 8:
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q
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grid = (triton.cdiv(N, BLOCK_SIZE),)
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quantize_8bit_kernel[grid](
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x.view(-1), q, scale, zp, N, BLOCK=BLOCK_SIZE
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)
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elif bits == 4:
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assert N % 2 == 0
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q
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grid = (triton.cdiv(N // 2, BLOCK_SIZE),)
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quantize_4bit_kernel[grid](
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x.view(-1), q, scale, zp, N, BLOCK=BLOCK_SIZE
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@@ -175,20 +141,14 @@ def quantize_head(x: torch.Tensor, bits: int):
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return q, scale, zp
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def dequantize_head(q
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zp: torch.Tensor, bits: int,
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original_shape: tuple) -> torch.Tensor:
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"""
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Dequantize back to float16.
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Returns tensor of original_shape in float16.
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"""
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if bits == 8:
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N
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out = torch.empty(N, dtype=torch.float16, device=q.device)
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grid = (triton.cdiv(N, BLOCK_SIZE),)
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dequantize_8bit_kernel[grid](q, scale, zp, out, N, BLOCK=BLOCK_SIZE)
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elif bits == 4:
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N
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out = torch.empty(N, dtype=torch.float16, device=q.device)
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grid = (triton.cdiv(q.numel(), BLOCK_SIZE),)
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dequantize_4bit_kernel[grid](q, scale, zp, out, N, BLOCK=BLOCK_SIZE)
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@@ -198,96 +158,62 @@ def dequantize_head(q: torch.Tensor, scale: torch.Tensor,
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return out.view(original_shape)
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# βββ
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class MixedPrecisionKVCache:
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"""
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Stores quantized K and V for all heads in one layer.
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bit_alloc: list of ints, one per head (4 or 8)
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"""
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def __init__(self, bit_alloc: list):
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self.bit_alloc = bit_alloc
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self.k_cache = []
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self.v_cache = []
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def store(self, k: torch.Tensor, v: torch.Tensor):
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"""
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k, v: [batch, num_heads, seq, head_dim]
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Quantizes each head independently.
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"""
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self.k_cache = []
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self.v_cache = []
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-
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-
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for h in range(num_heads):
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bits = self.bit_alloc[h]
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k_head = k[0, h]
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v_head = v[0, h]
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kq, ks, kz = quantize_head(k_head, bits)
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vq, vs, vz = quantize_head(v_head, bits)
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self.k_cache.append((kq, ks, kz, k_head.shape, bits))
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self.v_cache.append((vq, vs, vz, v_head.shape, bits))
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def retrieve(self)
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ks, vs = [], []
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for (kq, ksc, kzp, ksh, kb) in self.k_cache:
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ks.append(dequantize_head(kq, ksc, kzp, kb, ksh))
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for (vq, vsc, vzp, vsh, vb) in self.v_cache:
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vs.append(dequantize_head(vq, vsc, vzp, vb, vsh))
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k = torch.stack(ks, dim=0).unsqueeze(0) # [1, heads, seq, head_dim]
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v = torch.stack(vs, dim=0).unsqueeze(0)
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return k, v
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def memory_bytes(self)
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total = 0
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for (q, s, z, shape, bits) in self.k_cache + self.v_cache:
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total += q.numel() + 2 * 4 # data + scale + zp
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return total
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# βββ
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if __name__ == "__main__":
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print("Testing MixedPrecisionKVCache...")
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# simulate one layer: batch=1, heads=8, seq=512, head_dim=128
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torch.manual_seed(42)
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k = torch.randn(1, 8, 512, 128, dtype=torch.float16, device="cuda")
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v = torch.randn(1, 8, 512, 128, dtype=torch.float16, device="cuda")
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# mixed allocation: alternating 4 and 8 bit
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bit_alloc = [4, 8, 4, 8, 4, 8, 4, 8]
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cache
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# store
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cache.store(k, v)
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-
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# retrieve
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k_out, v_out = cache.retrieve()
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# correctness
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k_err = (k - k_out).abs().mean().item()
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v_err = (v - v_out).abs().mean().item()
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print(f"K reconstruction error: {k_err:.6f}")
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print(f"V reconstruction error: {v_err:.6f}")
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fp16_bytes = k.numel() * 2 * 2 # k + v, 2 bytes each
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quant_bytes = cache.memory_bytes()
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print(f"\nFP16 memory: {fp16_bytes/1024:.1f} KB")
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print(f"Quant memory: {quant_bytes/1024:.1f} KB")
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print(f"Compression: {fp16_bytes/quant_bytes:.2f}x")
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# check errors are reasonable
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assert k_err < 0.1, f"K error too high: {k_err}"
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assert v_err < 0.1, f"V error too high: {v_err}"
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print("\nβ
All tests passed!")
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+
cat > ~/kv-hack/kernel/quant_cache.py << 'EOF'
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"""
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Per-Head Mixed-Precision KV Cache
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----------------------------------
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Quantizes each attention head's K and V tensors
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to either 4-bit or 8-bit based on calibrated sensitivity.
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"""
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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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# βββ Triton Kernels βββββββββββββββββββββββββββββββββββββββββββββββ
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@triton.jit
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def quantize_8bit_kernel(
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x_ptr, q_ptr, scale_ptr, zp_ptr,
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N, BLOCK: tl.constexpr,
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):
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pid = tl.program_id(0)
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offs = pid * BLOCK + tl.arange(0, BLOCK)
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mask = offs < N
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x = tl.load(x_ptr + offs, mask=mask, other=0.0).to(tl.float32)
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x_min = tl.min(x, axis=0)
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x_max = tl.max(x, axis=0)
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scale = (x_max - x_min) / 255.0
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scale = tl.where(scale < 1e-8, 1e-8, scale)
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zp = x_min
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# round by adding 0.5 then casting
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q = ((x - zp) / scale + 0.5).to(tl.int32)
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q = tl.where(q < 0, 0, q)
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q = tl.where(q > 255, 255, q)
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tl.store(q_ptr + offs, q.to(tl.int8), mask=mask)
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if pid == 0:
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tl.store(scale_ptr, scale)
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tl.store(zp_ptr, zp)
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@triton.jit
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def dequantize_8bit_kernel(
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q_ptr, scale_ptr, zp_ptr, out_ptr,
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N, BLOCK: tl.constexpr,
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):
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pid = tl.program_id(0)
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offs = pid * BLOCK + tl.arange(0, BLOCK)
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mask = offs < N
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q = tl.load(q_ptr + offs, mask=mask, other=0).to(tl.float32)
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scale = tl.load(scale_ptr).to(tl.float32)
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zp = tl.load(zp_ptr).to(tl.float32)
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@triton.jit
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def quantize_4bit_kernel(
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x_ptr, q_ptr, scale_ptr, zp_ptr,
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N, BLOCK: tl.constexpr,
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):
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pid = tl.program_id(0)
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offs_out = pid * BLOCK + tl.arange(0, BLOCK)
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offs_in = offs_out * 2
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mask = offs_in + 1 < N
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x0 = tl.load(x_ptr + offs_in, mask=mask, other=0.0).to(tl.float32)
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x1 = tl.load(x_ptr + offs_in + 1, mask=mask, other=0.0).to(tl.float32)
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x_min = tl.minimum(tl.min(x0, axis=0), tl.min(x1, axis=0))
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x_max = tl.maximum(tl.max(x0, axis=0), tl.max(x1, axis=0))
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scale = (x_max - x_min) / 15.0
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+
scale = tl.where(scale < 1e-8, 1e-8, scale)
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zp = x_min
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q0 = ((x0 - zp) / scale + 0.5).to(tl.int32)
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q1 = ((x1 - zp) / scale + 0.5).to(tl.int32)
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q0 = tl.where(q0 < 0, 0, tl.where(q0 > 15, 15, q0)).to(tl.int8)
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q1 = tl.where(q1 < 0, 0, tl.where(q1 > 15, 15, q1)).to(tl.int8)
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packed = q0 | (q1 << 4)
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tl.store(q_ptr + offs_out, packed, mask=mask)
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if pid == 0:
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tl.store(scale_ptr, scale)
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tl.store(zp_ptr, zp)
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@triton.jit
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def dequantize_4bit_kernel(
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q_ptr, scale_ptr, zp_ptr, out_ptr,
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+
N, BLOCK: tl.constexpr,
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):
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pid = tl.program_id(0)
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offs_out = pid * BLOCK + tl.arange(0, BLOCK)
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scale = tl.load(scale_ptr).to(tl.float32)
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zp = tl.load(zp_ptr).to(tl.float32)
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q0 = (packed & 0x0F).to(tl.float32)
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q1 = ((packed >> 4) & 0x0F).to(tl.float32)
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BLOCK_SIZE = 1024
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def quantize_head(x: torch.Tensor, bits: int):
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+
x = x.contiguous().to(torch.float16)
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N = x.numel()
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scale = torch.zeros(1, dtype=torch.float32, device=x.device)
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zp = torch.zeros(1, dtype=torch.float32, device=x.device)
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| 125 |
if bits == 8:
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+
q = torch.empty(N, dtype=torch.int8, device=x.device)
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grid = (triton.cdiv(N, BLOCK_SIZE),)
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quantize_8bit_kernel[grid](
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x.view(-1), q, scale, zp, N, BLOCK=BLOCK_SIZE
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)
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elif bits == 4:
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+
assert N % 2 == 0
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+
q = torch.empty(N // 2, dtype=torch.int8, device=x.device)
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grid = (triton.cdiv(N // 2, BLOCK_SIZE),)
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quantize_4bit_kernel[grid](
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x.view(-1), q, scale, zp, N, BLOCK=BLOCK_SIZE
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| 141 |
return q, scale, zp
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| 142 |
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| 143 |
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| 144 |
+
def dequantize_head(q, scale, zp, bits, original_shape):
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| 145 |
if bits == 8:
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| 146 |
+
N = q.numel()
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| 147 |
out = torch.empty(N, dtype=torch.float16, device=q.device)
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| 148 |
grid = (triton.cdiv(N, BLOCK_SIZE),)
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dequantize_8bit_kernel[grid](q, scale, zp, out, N, BLOCK=BLOCK_SIZE)
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| 150 |
elif bits == 4:
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| 151 |
+
N = q.numel() * 2
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out = torch.empty(N, dtype=torch.float16, device=q.device)
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| 153 |
grid = (triton.cdiv(q.numel(), BLOCK_SIZE),)
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dequantize_4bit_kernel[grid](q, scale, zp, out, N, BLOCK=BLOCK_SIZE)
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| 158 |
return out.view(original_shape)
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| 159 |
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| 160 |
|
| 161 |
+
# βββ Cache Manager ββββββββββββββββββββββββββββββββββββββββββββββββ
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| 162 |
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| 163 |
class MixedPrecisionKVCache:
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| 164 |
def __init__(self, bit_alloc: list):
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| 165 |
+
self.bit_alloc = bit_alloc
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| 166 |
+
self.k_cache = []
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| 167 |
self.v_cache = []
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| 168 |
|
| 169 |
def store(self, k: torch.Tensor, v: torch.Tensor):
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| 170 |
self.k_cache = []
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| 171 |
self.v_cache = []
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| 172 |
+
for h in range(k.shape[1]):
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| 173 |
bits = self.bit_alloc[h]
|
| 174 |
+
k_head = k[0, h]
|
| 175 |
v_head = v[0, h]
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|
| 176 |
kq, ks, kz = quantize_head(k_head, bits)
|
| 177 |
vq, vs, vz = quantize_head(v_head, bits)
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|
| 178 |
self.k_cache.append((kq, ks, kz, k_head.shape, bits))
|
| 179 |
self.v_cache.append((vq, vs, vz, v_head.shape, bits))
|
| 180 |
|
| 181 |
+
def retrieve(self):
|
| 182 |
+
ks = [dequantize_head(q,s,z,b,sh) for q,s,z,sh,b in self.k_cache]
|
| 183 |
+
vs = [dequantize_head(q,s,z,b,sh) for q,s,z,sh,b in self.v_cache]
|
| 184 |
+
k = torch.stack(ks, dim=0).unsqueeze(0)
|
| 185 |
+
v = torch.stack(vs, dim=0).unsqueeze(0)
|
|
|
|
|
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|
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|
|
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|
|
|
|
|
| 186 |
return k, v
|
| 187 |
|
| 188 |
+
def memory_bytes(self):
|
| 189 |
+
return sum(q.numel() + 8 for q,s,z,sh,b in self.k_cache + self.v_cache)
|
|
|
|
|
|
|
|
|
|
|
|
|
| 190 |
|
| 191 |
|
| 192 |
+
# βββ Test βββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 193 |
|
| 194 |
if __name__ == "__main__":
|
| 195 |
print("Testing MixedPrecisionKVCache...")
|
|
|
|
|
|
|
| 196 |
torch.manual_seed(42)
|
| 197 |
k = torch.randn(1, 8, 512, 128, dtype=torch.float16, device="cuda")
|
| 198 |
v = torch.randn(1, 8, 512, 128, dtype=torch.float16, device="cuda")
|
| 199 |
|
|
|
|
| 200 |
bit_alloc = [4, 8, 4, 8, 4, 8, 4, 8]
|
| 201 |
+
cache = MixedPrecisionKVCache(bit_alloc)
|
| 202 |
|
|
|
|
| 203 |
cache.store(k, v)
|
|
|
|
|
|
|
| 204 |
k_out, v_out = cache.retrieve()
|
| 205 |
|
|
|
|
| 206 |
k_err = (k - k_out).abs().mean().item()
|
| 207 |
v_err = (v - v_out).abs().mean().item()
|
| 208 |
print(f"K reconstruction error: {k_err:.6f}")
|
| 209 |
print(f"V reconstruction error: {v_err:.6f}")
|
| 210 |
|
| 211 |
+
fp16_bytes = k.numel() * 2 * 2
|
|
|
|
| 212 |
quant_bytes = cache.memory_bytes()
|
| 213 |
print(f"\nFP16 memory: {fp16_bytes/1024:.1f} KB")
|
| 214 |
print(f"Quant memory: {quant_bytes/1024:.1f} KB")
|
| 215 |
print(f"Compression: {fp16_bytes/quant_bytes:.2f}x")
|
| 216 |
|
|
|
|
| 217 |
assert k_err < 0.1, f"K error too high: {k_err}"
|
| 218 |
assert v_err < 0.1, f"V error too high: {v_err}"
|
| 219 |
print("\nβ
All tests passed!")
|