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docs: Comprehensive EMLX.Quantization documentation and tests
- Enhanced moduledoc with MLX format explanation, performance notes - Added 18 new tests for EMLX.Quantization module - Tests cover: quantize, tensor, dequantize, quantized?, options - End-to-end workflow tests for LLM inference pattern - Total: 33 quantization tests passing Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
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lib/emlx/quantization.ex

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defmodule EMLX.Quantization do
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@moduledoc """
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Utilities for creating and working with quantized tensors.
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Utilities for creating and working with quantized tensors on Apple Silicon.
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This module provides a clean API for 4-bit and 8-bit quantization,
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enabling efficient LLM inference on Apple Silicon.
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This module provides the primary user-facing API for 4-bit and 8-bit
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quantization, enabling efficient LLM inference with MLX.
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## Example
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## Why Quantization?
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Large language models like Qwen3-8B or LLaMA-7B require 16GB+ of memory
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at float16 precision. 4-bit quantization reduces this to ~4-5GB while
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maintaining reasonable quality, enabling inference on consumer hardware.
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Performance on Apple M-series:
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- **Memory**: 4-5GB vs 16GB for fp16
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- **Speed**: ~135 tok/s with quantized_matmul
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- **Quality**: ~95% of fp16 perplexity for most tasks
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## MLX 4-bit Format
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MLX uses group-wise affine quantization:
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dequantized[i] = scales[i/group_size] * (packed_int4[i] - biases[i/group_size])
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Weights are packed as uint32 (8 int4 values per uint32). With `group_size=64`:
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- Weight `[out, in]` becomes `[out, in/8]` as uint32
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- Scales: `[out, in/group_size]` as bfloat16
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- Biases: `[out, in/group_size]` as bfloat16
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# Quantize a weight matrix
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## Basic Usage
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# 1. Quantize a weight matrix
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weight = Nx.iota({512, 4096}, type: :f32)
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weight = Nx.backend_transfer(weight, {EMLX.Backend, device: :gpu})
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{q_weight, scales, biases} = EMLX.Quantization.quantize(weight)
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# Create a quantized tensor for use with Nx.dot
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# 2. Create a quantized tensor for Nx operations
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qt = EMLX.Quantization.tensor(q_weight, scales, biases, {512, 4096})
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# Nx.dot automatically dispatches to quantized_matmul
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result = Nx.dot(input, qt)
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# 3. Use with standard Nx.dot - automatically dispatches to quantized_matmul
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input = Nx.iota({1, 8, 4096}, type: :f32)
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result = Nx.dot(input, [2], qt, [1]) # [1, 8, 512]
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## Transparent Nx Integration
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Quantized tensors work with standard Nx operations. The EMLX backend
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detects quantization metadata and dispatches to optimized kernels:
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# This calls EMLX.quantized_matmul under the hood
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result = Nx.dot(input, quantized_weight)
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The tensor type `{:s, 4}` indicates 4-bit signed quantization.
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Bits are derived from the type, not stored separately.
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## Loading Pre-quantized Models
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For models already in MLX 4-bit format (e.g., from Hugging Face):
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# Load from safetensors
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weight = load_tensor("model.layers.0.self_attn.q_proj.weight")
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scales = load_tensor("model.layers.0.self_attn.q_proj.scales")
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biases = load_tensor("model.layers.0.self_attn.q_proj.biases")
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# Convert to EMLX refs
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w_ref = EMLX.Backend.from_nx(weight)
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s_ref = EMLX.Backend.from_nx(scales)
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b_ref = EMLX.Backend.from_nx(biases)
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# Create quantized tensor
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qt = EMLX.Quantization.tensor(w_ref, s_ref, b_ref, {out_dim, in_dim})
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## Debugging with Dequantization
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# Dequantize to verify values
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{q_weight, scales, biases} = EMLX.Quantization.quantize(weight)
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recovered = EMLX.Quantization.dequantize(q_weight, scales, biases)
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# Compare (4-bit is lossy, ~5-10% error typical)
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original_mean = Nx.mean(weight) |> Nx.to_number()
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recovered_mean = Nx.mean(EMLX.Backend.to_nx(recovered)) |> Nx.to_number()
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## Options
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- `:bits` - 4 or 8 (default: 4). 4-bit is more memory efficient, 8-bit is more accurate.
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- `:group_size` - Number of weights sharing a scale factor (default: 64).
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Smaller groups = better accuracy but more overhead.
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## See Also
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# Dequantize back to float (for debugging/verification)
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float_weight = EMLX.Quantization.dequantize(q_weight, scales, biases)
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- `EMLX.quantize/3` - Low-level quantization NIF
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- `EMLX.dequantize/5` - Low-level dequantization NIF
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- `EMLX.quantized_matmul/7` - Low-level quantized matrix multiply NIF
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- `EMLX.Backend` - Backend struct with quantization fields
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"""
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alias Nx.Tensor, as: T
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defmodule EMLX.Quantization.ModuleTest do
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@moduledoc """
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Tests for the EMLX.Quantization module - the primary user-facing API
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for quantized tensor operations.
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These tests verify the high-level API that users should prefer over
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the lower-level EMLX.quantize/EMLX.dequantize/EMLX.quantized_matmul functions.
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"""
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use EMLX.Case
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alias EMLX.Quantization
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describe "Quantization.quantize/2" do
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test "quantizes an Nx.Tensor" do
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weight = Nx.iota({64, 64}, type: :f32) |> Nx.divide(100)
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weight = Nx.backend_transfer(weight, {EMLX.Backend, device: :gpu})
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{q_weight, scales, biases} = Quantization.quantize(weight)
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# Returns EMLX device refs
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assert is_tuple(q_weight)
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assert is_tuple(scales)
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assert is_tuple(biases)
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# Quantized weights are uint32 (packed int4)
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{_dev, ref} = q_weight
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assert EMLX.scalar_type({:gpu, ref}) == :uint32
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end
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test "quantizes with custom group_size" do
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weight = Nx.iota({128, 128}, type: :f32) |> Nx.divide(100)
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weight = Nx.backend_transfer(weight, {EMLX.Backend, device: :gpu})
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{_q_weight, scales, _biases} = Quantization.quantize(weight, group_size: 128)
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# With group_size=128, scales shape is [128, 128/128] = [128, 1]
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{_dev, s_ref} = scales
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assert EMLX.shape({:gpu, s_ref}) == {128, 1}
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end
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test "accepts EMLX device ref directly" do
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weight = Nx.iota({64, 64}, type: :f32) |> Nx.divide(100)
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emlx_ref = EMLX.Backend.from_nx(weight)
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{q_weight, scales, biases} = Quantization.quantize(emlx_ref)
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assert is_tuple(q_weight)
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assert is_tuple(scales)
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assert is_tuple(biases)
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end
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end
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describe "Quantization.tensor/5" do
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test "creates quantized Nx.Tensor with {:s, 4} type" do
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weight = Nx.iota({64, 64}, type: :f32) |> Nx.divide(100)
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emlx_weight = EMLX.Backend.from_nx(weight)
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{q_weight, scales, biases} = EMLX.quantize(emlx_weight, 64, 4)
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qt = Quantization.tensor(q_weight, scales, biases, {64, 64})
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assert %Nx.Tensor{} = qt
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assert Nx.type(qt) == {:s, 4}
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assert Nx.shape(qt) == {64, 64}
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end
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test "creates tensor with 8-bit quantization" do
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weight = Nx.iota({64, 64}, type: :f32) |> Nx.divide(100)
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emlx_weight = EMLX.Backend.from_nx(weight)
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{q_weight, scales, biases} = EMLX.quantize(emlx_weight, 64, 8)
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qt = Quantization.tensor(q_weight, scales, biases, {64, 64}, bits: 8)
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assert Nx.type(qt) == {:s, 8}
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end
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test "stores group_size in backend struct" do
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weight = Nx.iota({128, 128}, type: :f32) |> Nx.divide(100)
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emlx_weight = EMLX.Backend.from_nx(weight)
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{q_weight, scales, biases} = EMLX.quantize(emlx_weight, 128, 4)
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qt = Quantization.tensor(q_weight, scales, biases, {128, 128}, group_size: 128)
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opts = Quantization.options(qt)
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assert opts.group_size == 128
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end
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end
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describe "Quantization.dequantize/4" do
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test "converts quantized weights back to float" do
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weight = Nx.iota({64, 64}, type: :f32) |> Nx.divide(100)
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emlx_weight = EMLX.Backend.from_nx(weight)
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{q_weight, scales, biases} = Quantization.quantize(emlx_weight)
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dequantized = Quantization.dequantize(q_weight, scales, biases)
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# Returns EMLX device ref
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{_dev, d_ref} = dequantized
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assert EMLX.shape({:gpu, d_ref}) == {64, 64}
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end
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test "roundtrip preserves approximate values" do
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weight = Nx.iota({64, 64}, type: :f32) |> Nx.divide(10)
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emlx_weight = EMLX.Backend.from_nx(weight)
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{q_weight, scales, biases} = Quantization.quantize(emlx_weight)
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dequantized = Quantization.dequantize(q_weight, scales, biases)
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original = EMLX.Backend.to_nx(emlx_weight)
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recovered = EMLX.Backend.to_nx(dequantized)
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# 4-bit is lossy, but mean should be in ballpark
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original_mean = Nx.mean(original) |> Nx.to_number()
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recovered_mean = Nx.mean(recovered) |> Nx.to_number()
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assert abs(original_mean - recovered_mean) / abs(original_mean) < 0.5
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end
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end
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describe "Quantization.quantized?/1" do
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test "returns true for quantized tensors" do
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weight = Nx.iota({64, 64}, type: :f32) |> Nx.divide(100)
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emlx_weight = EMLX.Backend.from_nx(weight)
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{q_weight, scales, biases} = EMLX.quantize(emlx_weight, 64, 4)
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qt = Quantization.tensor(q_weight, scales, biases, {64, 64})
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assert Quantization.quantized?(qt)
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end
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test "returns false for regular tensors" do
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tensor = Nx.iota({4, 4}, type: :f32)
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tensor = Nx.backend_transfer(tensor, {EMLX.Backend, device: :gpu})
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refute Quantization.quantized?(tensor)
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end
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test "returns false for non-tensors" do
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refute Quantization.quantized?(nil)
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refute Quantization.quantized?(%{})
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refute Quantization.quantized?("not a tensor")
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end
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end
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describe "Quantization.options/1" do
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test "returns options map for quantized tensor" do
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weight = Nx.iota({64, 64}, type: :f32) |> Nx.divide(100)
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emlx_weight = EMLX.Backend.from_nx(weight)
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{q_weight, scales, biases} = EMLX.quantize(emlx_weight, 64, 4)
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qt = Quantization.tensor(q_weight, scales, biases, {64, 64})
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opts = Quantization.options(qt)
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assert is_map(opts)
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assert Map.has_key?(opts, :scales)
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assert Map.has_key?(opts, :biases)
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assert Map.has_key?(opts, :group_size)
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assert opts.group_size == 64
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end
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test "returns nil for regular tensors" do
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tensor = Nx.iota({4, 4}, type: :f32)
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tensor = Nx.backend_transfer(tensor, {EMLX.Backend, device: :gpu})
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assert Quantization.options(tensor) == nil
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end
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test "returns nil for non-tensors" do
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assert Quantization.options(nil) == nil
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assert Quantization.options(%{}) == nil
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end
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end
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describe "Nx.dot integration" do
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test "Nx.dot automatically dispatches to quantized_matmul" do
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# Create input tensor
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input = Nx.iota({1, 4, 64}, type: :f32) |> Nx.divide(100)
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input = Nx.backend_transfer(input, {EMLX.Backend, device: :gpu})
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# Create and quantize weight
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weight = Nx.iota({128, 64}, type: :f32) |> Nx.divide(1000)
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{q_weight, scales, biases} = Quantization.quantize(weight)
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qt = Quantization.tensor(q_weight, scales, biases, {128, 64})
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# Nx.dot should work transparently
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result = Nx.dot(input, [2], qt, [1])
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assert Nx.shape(result) == {1, 4, 128}
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end
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test "quantized dot produces reasonable results" do
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input = Nx.iota({1, 4, 64}, type: :f32) |> Nx.divide(100)
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input = Nx.backend_transfer(input, {EMLX.Backend, device: :gpu})
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weight = Nx.iota({64, 64}, type: :f32) |> Nx.divide(100)
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weight_gpu = Nx.backend_transfer(weight, {EMLX.Backend, device: :gpu})
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# Full precision reference
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expected = Nx.dot(input, [2], Nx.transpose(weight_gpu), [1])
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# Quantized path
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{q_weight, scales, biases} = Quantization.quantize(weight_gpu)
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qt = Quantization.tensor(q_weight, scales, biases, {64, 64})
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result = Nx.dot(input, [2], qt, [1])
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# Both should produce positive values of similar magnitude
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expected_mean = Nx.mean(expected) |> Nx.to_number()
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result_mean = Nx.mean(result) |> Nx.to_number()
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assert expected_mean > 0
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assert result_mean > 0
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assert result_mean / expected_mean > 0.1
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assert result_mean / expected_mean < 10
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end
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end
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describe "end-to-end workflow" do
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test "complete quantization workflow" do
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# 1. Create a weight matrix (using iota for determinism)
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weight = Nx.iota({256, 128}, type: :f32) |> Nx.divide(1000)
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weight = Nx.backend_transfer(weight, {EMLX.Backend, device: :gpu})
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# 2. Quantize it
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{q_weight, scales, biases} = Quantization.quantize(weight, group_size: 64, bits: 4)
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# 3. Create quantized tensor for Nx operations
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qt = Quantization.tensor(q_weight, scales, biases, {256, 128}, group_size: 64, bits: 4)
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# 4. Verify it's marked as quantized
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assert Quantization.quantized?(qt)
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assert Nx.type(qt) == {:s, 4}
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# 5. Use with Nx.dot
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input = Nx.iota({1, 8, 128}, type: :f32) |> Nx.divide(100)
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input = Nx.backend_transfer(input, {EMLX.Backend, device: :gpu})
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result = Nx.dot(input, [2], qt, [1])
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assert Nx.shape(result) == {1, 8, 256}
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# 6. Optionally dequantize for debugging
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dequantized = Quantization.dequantize(q_weight, scales, biases, group_size: 64, bits: 4)
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dequant_nx = EMLX.Backend.to_nx(dequantized)
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assert Nx.shape(dequant_nx) == {256, 128}
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end
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test "LLM-style inference pattern" do
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# Simulate a transformer linear layer:
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# hidden_states @ weight.T where weight is quantized
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batch_size = 1
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seq_len = 4
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hidden_dim = 128
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output_dim = 256
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# Hidden states from previous layer (using iota for determinism)
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hidden = Nx.iota({batch_size, seq_len, hidden_dim}, type: :f32) |> Nx.divide(100)
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hidden = Nx.backend_transfer(hidden, {EMLX.Backend, device: :gpu})
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# Quantized projection weight
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weight = Nx.iota({output_dim, hidden_dim}, type: :f32) |> Nx.divide(1000)
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weight = Nx.backend_transfer(weight, {EMLX.Backend, device: :gpu})
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{q_weight, scales, biases} = Quantization.quantize(weight)
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qt = Quantization.tensor(q_weight, scales, biases, {output_dim, hidden_dim})
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# Forward pass: hidden @ weight.T
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output = Nx.dot(hidden, [2], qt, [1])
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assert Nx.shape(output) == {batch_size, seq_len, output_dim}
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assert Nx.type(output) == {:f, 32} # Output is float, not quantized
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end
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end
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end

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