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| 1 | +# SPDX-License-Identifier: Apache-2.0 |
| 2 | +"""Quantized matmul kernel with blockwise quantization support.""" |
| 3 | + |
| 4 | +import jax |
| 5 | +import jax.numpy as jnp |
| 6 | +from jax.experimental import pallas as pl |
| 7 | +from jax.experimental.pallas import tpu as pltpu |
| 8 | + |
| 9 | +from . import util |
| 10 | +from .tuned_block_sizes import ( |
| 11 | + TunedValue, get_device_vmem_limit, get_tuned_block_sizes) |
| 12 | +from .util import (get_kernel_name, |
| 13 | + next_multiple, |
| 14 | + unfold_args) |
| 15 | + |
| 16 | +quantize_tensor = util.quantize_tensor |
| 17 | +MXU_SIZE = 256 |
| 18 | + |
| 19 | + |
| 20 | +@jax.jit(static_argnames=[ |
| 21 | + "block_size", |
| 22 | + "x_q_dtype", |
| 23 | + "tuned_value", |
| 24 | +]) |
| 25 | +def quantized_matmul_kernel( |
| 26 | + x: jax.Array, # [bs, n_in] |
| 27 | + w_q: jax.Array, # [n_out, n_in] |
| 28 | + w_scale: jax.Array, # [n_in // block_size, 1, n_out] |
| 29 | + w_zp: jax.Array | None = None, # [n_out] |
| 30 | + block_size: int | None = None, |
| 31 | + x_q_dtype: jnp.dtype | None = None, |
| 32 | + *, |
| 33 | + tuned_value: TunedValue | None = None, |
| 34 | +) -> jax.Array: |
| 35 | + """Quantized matmul kernel with blockwise support. |
| 36 | +
|
| 37 | + Args: |
| 38 | + x: Input unquantized array. |
| 39 | + w_q: Weight quantized array. [n_output_features, n_input_features] |
| 40 | + w_scale: Weight quantization scale. [n_input_features // block_size, 1, n_output_features] |
| 41 | + w_zp: Weight zero point for asymmetric quantization. |
| 42 | + block_size: Block size for subchannel quantization. |
| 43 | + x_q_dtype: Quantization type of the input. If None or if the value is the |
| 44 | + same as x.dtype, then no quantization is applied. |
| 45 | + tuned_value: Kernel tuned values for optimal performance. |
| 46 | +
|
| 47 | + Returns: |
| 48 | + Quantized matmul result. |
| 49 | + """ |
| 50 | + |
| 51 | + if block_size is None: |
| 52 | + raise ValueError("Block size was not specified.") |
| 53 | + if w_zp is not None: |
| 54 | + raise NotImplementedError("zero_point is not supported.") |
| 55 | + |
| 56 | + if x_q_dtype is None: |
| 57 | + x_q_dtype = x.dtype |
| 58 | + quantize_activation = x_q_dtype != x.dtype |
| 59 | + |
| 60 | + orig_n_batch, orig_n_in = x.shape |
| 61 | + orig_n_out, *_ = w_q.shape |
| 62 | + |
| 63 | + if tuned_value is None: |
| 64 | + tuned_value = get_tuned_block_sizes( |
| 65 | + n_batch=orig_n_batch, |
| 66 | + n_out=orig_n_out, |
| 67 | + n_in=orig_n_in, |
| 68 | + x_q_dtype=jnp.dtype(x_q_dtype).name, |
| 69 | + w_q_dtype=jnp.dtype(w_q.dtype).name, |
| 70 | + ) |
| 71 | + batch_block_size = tuned_value.batch_block_size |
| 72 | + out_block_size = tuned_value.out_block_size |
| 73 | + in_block_size = tuned_value.in_block_size |
| 74 | + n_lane_multiplier = tuned_value.n_lane_multiplier |
| 75 | + # The num_blocks should become 1 in case of channelwise. |
| 76 | + block_size = tuned_value.in_block_size if block_size == orig_n_in else block_size |
| 77 | + |
| 78 | + # Pad the inputs to be multiple of block size. |
| 79 | + padded_n_batch = next_multiple(orig_n_batch, batch_block_size) |
| 80 | + if orig_n_batch < padded_n_batch: |
| 81 | + x = jnp.pad(x, ((0, padded_n_batch - orig_n_batch), (0, 0))) |
| 82 | + |
| 83 | + padded_n_out = next_multiple(orig_n_out, out_block_size) |
| 84 | + if orig_n_out < padded_n_out: |
| 85 | + w_q = jnp.pad(w_q, ((0, padded_n_out - orig_n_out), (0, 0))) |
| 86 | + w_scale = jnp.pad(w_scale, (0, padded_n_out - orig_n_out)) |
| 87 | + padded_n_in = next_multiple(orig_n_in, in_block_size) |
| 88 | + if orig_n_in < padded_n_in: |
| 89 | + x = jnp.pad(x, ((0, 0), (0, padded_n_in - orig_n_in))) |
| 90 | + w_q = jnp.pad(w_q, ((0, 0), (0, padded_n_in - orig_n_in))) |
| 91 | + |
| 92 | + if w_scale.dtype != jnp.float32: |
| 93 | + w_scale = w_scale.astype(jnp.float32) |
| 94 | + |
| 95 | + n_batch = padded_n_batch // batch_block_size |
| 96 | + n_out = padded_n_out // out_block_size |
| 97 | + n_in = padded_n_in // in_block_size |
| 98 | + |
| 99 | + save_acc = n_in > 1 |
| 100 | + # Remove redundant input quantization logic by caching quantized input. For |
| 101 | + # best performance, only enable this behavior when single input block is |
| 102 | + # used per batch. |
| 103 | + save_x_q = quantize_activation and n_in == 1 and n_out > 1 |
| 104 | + |
| 105 | + # TODO(amandaliang): Make this configurable. |
| 106 | + acc_dtype = jnp.bfloat16 |
| 107 | + if quantize_activation and jnp.issubdtype(w_q.dtype, jnp.integer): |
| 108 | + acc_dtype = jnp.int32 |
| 109 | + |
| 110 | + vmem_limit_bytes = util.get_vmem_limit( |
| 111 | + n_batch=n_batch, |
| 112 | + n_out=n_out, |
| 113 | + n_in=n_in, |
| 114 | + batch_block_size=batch_block_size, |
| 115 | + out_block_size=out_block_size, |
| 116 | + in_block_size=in_block_size, |
| 117 | + x_dtype=x.dtype, |
| 118 | + x_q_dtype=x_q_dtype, |
| 119 | + w_q_dtype=w_q.dtype, |
| 120 | + scale_dtype=jnp.float32, |
| 121 | + out_dtype=x.dtype, |
| 122 | + acc_dtype=acc_dtype, |
| 123 | + save_acc=save_acc, |
| 124 | + save_x_q=save_x_q, |
| 125 | + upper_limit_bytes=get_device_vmem_limit(), |
| 126 | + ) |
| 127 | + |
| 128 | + steps_k = in_block_size // block_size |
| 129 | + # n_lane_multiplier > 1 could improve perf by reducing loop overhead and increasing instruction-level parallelism, |
| 130 | + # allowing the compiler to overlap output fusion and packing overhead with MXU computation |
| 131 | + # TODO(amandaliang): use pltpu.get_tpu_info().mxu_column_size when JAX version is newer |
| 132 | + compute_tile_n = MXU_SIZE * n_lane_multiplier |
| 133 | + steps_n = out_block_size // compute_tile_n |
| 134 | + |
| 135 | + def kernel(lhs_ref, rhs_ref, w_scales_ref, out_ref, acc_scratch): |
| 136 | + pid_k = pl.program_id(2) |
| 137 | + is_first_step = pid_k == 0 |
| 138 | + is_last_step = pid_k == (orig_n_in // in_block_size - 1) |
| 139 | + |
| 140 | + def accum(is_first_step, is_last_step): |
| 141 | + accumulators = [None] * steps_n |
| 142 | + |
| 143 | + for i in range(steps_k): |
| 144 | + k_start, k_end = i * block_size, (i + 1) * block_size |
| 145 | + lhs_sub = lhs_ref[:, k_start:k_end].astype(jnp.float32) |
| 146 | + lhs_q, lhs_scale = util.quantize_block(lhs_sub, 1, x_q_dtype) |
| 147 | + lhs_scale = lhs_scale.astype(acc_dtype) |
| 148 | + |
| 149 | + rhs_q_full = rhs_ref[:, k_start:k_end] |
| 150 | + rhs_scale_full = w_scales_ref[i, :, :].astype(acc_dtype) |
| 151 | + |
| 152 | + for j in range(steps_n): |
| 153 | + n_start, n_end = j * compute_tile_n, (j + |
| 154 | + 1) * compute_tile_n |
| 155 | + |
| 156 | + rhs_q_slice = rhs_q_full[n_start:n_end, :] |
| 157 | + rhs_scale_slice = rhs_scale_full[:, n_start:n_end] |
| 158 | + if jnp.issubdtype(x_q_dtype, jnp.integer): |
| 159 | + preferred_element_type = jnp.int32 |
| 160 | + else: |
| 161 | + preferred_element_type = jnp.float32 |
| 162 | + dot_res = jax.lax.dot_general( |
| 163 | + lhs_q, |
| 164 | + rhs_q_slice, |
| 165 | + (((1, ), (1, )), ((), ())), |
| 166 | + preferred_element_type=preferred_element_type, |
| 167 | + ) |
| 168 | + res = dot_res.astype(acc_dtype) |
| 169 | + res = res * lhs_scale |
| 170 | + res = res * rhs_scale_slice |
| 171 | + if i == 0: |
| 172 | + accumulators[j] = res |
| 173 | + else: |
| 174 | + accumulators[j] += res |
| 175 | + |
| 176 | + acc_block = jnp.concatenate(accumulators, axis=1) |
| 177 | + |
| 178 | + if not is_first_step: |
| 179 | + acc_block += acc_scratch[...] |
| 180 | + |
| 181 | + if is_last_step: |
| 182 | + out_ref[...] = acc_block.astype(out_ref.dtype) |
| 183 | + else: |
| 184 | + acc_scratch[...] = acc_block |
| 185 | + |
| 186 | + unfold_args((is_first_step, is_last_step), (), accum) |
| 187 | + |
| 188 | + kernel = pl.pallas_call( |
| 189 | + kernel, |
| 190 | + grid_spec=pltpu.PrefetchScalarGridSpec( |
| 191 | + num_scalar_prefetch=0, |
| 192 | + in_specs=[ |
| 193 | + pl.BlockSpec( |
| 194 | + (batch_block_size, in_block_size), |
| 195 | + lambda b, o, i: (b, i), |
| 196 | + memory_space=pltpu.VMEM, |
| 197 | + ), # x |
| 198 | + pl.BlockSpec( |
| 199 | + (out_block_size, in_block_size), |
| 200 | + lambda b, o, i: (o, i), |
| 201 | + memory_space=pltpu.VMEM, |
| 202 | + ), # w_q |
| 203 | + pl.BlockSpec( |
| 204 | + (steps_k, 1, out_block_size), |
| 205 | + lambda _, o, i: (i, 0, o), |
| 206 | + memory_space=pltpu.VMEM, |
| 207 | + ), |
| 208 | + ], # w_scale |
| 209 | + out_specs=pl.BlockSpec((batch_block_size, out_block_size), |
| 210 | + lambda b, o, i: (b, o)), |
| 211 | + scratch_shapes=[ |
| 212 | + pltpu.VMEM((batch_block_size, out_block_size), jnp.bfloat16) |
| 213 | + ], |
| 214 | + grid=(n_batch, n_out, n_in), |
| 215 | + ), |
| 216 | + out_shape=jax.ShapeDtypeStruct((padded_n_batch, padded_n_out), |
| 217 | + x.dtype), |
| 218 | + compiler_params=pltpu.CompilerParams( |
| 219 | + dimension_semantics=("parallel", "parallel", "arbitrary"), |
| 220 | + vmem_limit_bytes=vmem_limit_bytes, |
| 221 | + ), |
| 222 | + ) |
| 223 | + |
| 224 | + util.validate_inputs( |
| 225 | + x=x, |
| 226 | + w_q=w_q, |
| 227 | + w_scale=w_scale, |
| 228 | + x_abs_max=None, |
| 229 | + x_q_dtype=x_q_dtype, |
| 230 | + batch_block_size=batch_block_size, |
| 231 | + out_block_size=out_block_size, |
| 232 | + in_block_size=in_block_size, |
| 233 | + ) |
| 234 | + |
| 235 | + # The named_scope is used for autotune. |
| 236 | + kernel_name = get_kernel_name(tuned_value) |
| 237 | + with jax.named_scope(kernel_name): |
| 238 | + out = kernel(x, w_q, w_scale) |
| 239 | + |
| 240 | + return out[:orig_n_batch, :orig_n_out] |
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