File size: 6,899 Bytes
32112fa | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 | """Singularity weight quantization — sub-byte quantization for model weights.
Reuses the Singularity precision math concepts from inc_llm_v1.
Quantizes NumPy weight arrays to tier-appropriate format.
Dequantizes on-the-fly during matrix multiply (zero extra memory).
"""
from __future__ import annotations
import logging
import math
from typing import Any
import numpy as np
logger = logging.getLogger(__name__)
# Bits per weight for each quantization format
BPW_TABLE: dict[str, float] = {
"ternary": math.log2(3), # 1.585
"q2_k": 2.0,
"q3_k_s": 3.0,
"q3_k_m": 3.0,
"q4_k_s": 4.0,
"q4_k_m": 4.0,
"q5_k_s": 5.0,
"q5_k_m": 5.0,
"q6_k": 6.0,
"q8_0": 8.0,
"fp16": 16.0,
"fp32": 32.0,
}
def bits_per_weight(quant_format: str) -> float:
return BPW_TABLE.get(quant_format.lower(), 16.0)
def compression_ratio(quant_format: str, reference_bpw: float = 16.0) -> float:
bpw = bits_per_weight(quant_format)
return reference_bpw / bpw if bpw > 0 else 1.0
def compute_memory_footprint(param_count: int, bpw: float) -> float:
"""Memory in GB: params * bpw / 8 / 1024^3."""
if param_count <= 0 or bpw <= 0:
return 0.0
return (param_count * bpw) / 8.0 / (1024 ** 3)
class SingularityQuantizer:
"""Quantizes/dequantizes weight arrays using Singularity sub-byte encoding.
Supported formats:
- ternary: weights → {-1, 0, +1} (1.585 bpw) via absmean scheme
- q2_k: 2-bit quantization with block scaling
- q4_k_m: 4-bit quantization with mixed block sizes
- q8_0: 8-bit quantization with block scaling
- fp16: no quantization (passthrough)
"""
def __init__(self, format: str = "q4_k_m", block_size: int = 32) -> None:
self.format = format.lower()
self.bpw = bits_per_weight(self.format)
self.block_size = block_size
self._stats = {"quantized": 0, "dequantized": 0, "bytes_saved": 0}
def quantize(self, weights: np.ndarray) -> dict[str, Any]:
"""Quantize a weight array. Returns packed data + metadata for dequantization.
Returns dict with:
- 'data': quantized bytes/array
- 'shape': original shape
- 'scale': per-block scale factors
- 'format': quant format used
"""
self._stats["quantized"] += 1
original_bytes = weights.nbytes
if self.format in ("fp16", "fp32"):
return {
"data": weights.astype(np.float16 if self.format == "fp16" else np.float32),
"shape": weights.shape,
"scale": None,
"format": self.format,
}
if self.format == "ternary":
packed = self._quantize_ternary(weights)
elif self.bpw <= 2.0:
packed = self._quantize_int(weights, bits=2)
elif self.bpw <= 4.0:
packed = self._quantize_int(weights, bits=4)
elif self.bpw <= 8.0:
packed = self._quantize_int(weights, bits=8)
else:
packed = {"data": weights.astype(np.float16), "scale": None}
packed["shape"] = weights.shape
packed["format"] = self.format
quantized_bytes = packed["data"].nbytes if hasattr(packed["data"], "nbytes") else len(packed["data"])
self._stats["bytes_saved"] += max(0, original_bytes - quantized_bytes)
return packed
def dequantize(self, packed: dict[str, Any]) -> np.ndarray:
"""Dequantize packed weights back to float32."""
self._stats["dequantized"] += 1
fmt = packed["format"]
shape = packed["shape"]
if fmt in ("fp16", "fp32"):
return packed["data"].astype(np.float32).reshape(shape)
if fmt == "ternary":
return self._dequantize_ternary(packed, shape)
# Integer quantization
bits = packed.get("bits", 4)
return self._dequantize_int(packed, shape, bits)
def _quantize_ternary(self, weights: np.ndarray) -> dict[str, Any]:
"""Ternary quantization: weights → {-1, 0, +1} using absmean scheme.
Based on BitNet b1.58:
γ = average(|W|)
W_q = RoundClip(W / γ, -1, 1)
"""
gamma = np.mean(np.abs(weights))
if gamma == 0:
return {"data": np.zeros_like(weights, dtype=np.int8), "scale": 1.0}
scaled = weights / gamma
quantized = np.clip(np.round(scaled), -1, 1).astype(np.int8)
# Pack as 2-bit values (-1=0, 0=1, 1=2) → 4 values per byte
packed = (quantized + 1).astype(np.uint8)
return {"data": packed, "scale": float(gamma)}
def _dequantize_ternary(self, packed: dict[str, Any], shape: tuple) -> np.ndarray:
gamma = packed["scale"]
packed_data = packed["data"].astype(np.int8) - 1
return (packed_data.astype(np.float32) * gamma).reshape(shape)
def _quantize_int(self, weights: np.ndarray, bits: int = 4) -> dict[str, Any]:
"""Symmetric integer quantization with block scaling.
Block size = 32. Each block has its own scale factor.
"""
flat = weights.flatten().astype(np.float32)
n = len(flat)
block_size = self.block_size
n_blocks = (n + block_size - 1) // block_size
# Pad to block boundary
pad_len = n_blocks * block_size - n
if pad_len > 0:
flat = np.pad(flat, (0, pad_len))
blocks = flat.reshape(n_blocks, block_size)
# Per-block scale: max_abs / (2^(bits-1) - 1)
max_levels = (1 << (bits - 1)) - 1 # e.g., 7 for 4-bit, 127 for 8-bit
scales = np.max(np.abs(blocks), axis=1, keepdims=True)
scales = np.where(scales == 0, 1.0, scales)
scales = scales / max_levels
# Quantize
quantized = np.clip(np.round(blocks / scales), -max_levels, max_levels).astype(np.int8)
return {
"data": quantized,
"scale": scales.flatten().astype(np.float32),
"bits": bits,
"n_blocks": n_blocks,
"block_size": block_size,
"pad_len": pad_len,
}
def _dequantize_int(self, packed: dict[str, Any], shape: tuple, bits: int) -> np.ndarray:
quantized = packed["data"].astype(np.float32)
scales = packed["scale"]
n_blocks = packed["n_blocks"]
block_size = packed["block_size"]
pad_len = packed["pad_len"]
blocks = quantized.reshape(n_blocks, block_size)
scales = scales.reshape(n_blocks, 1)
dequant = blocks * scales
flat = dequant.flatten()
if pad_len > 0:
flat = flat[:-pad_len]
return flat.reshape(shape)
def get_stats(self) -> dict[str, Any]:
return {
**self._stats,
"format": self.format,
"bpw": round(self.bpw, 4),
"compression_ratio": round(compression_ratio(self.format), 2),
}
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