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Browse files- twill/codegen.py +331 -0
twill/codegen.py
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| 1 |
+
"""
|
| 2 |
+
Code Generation: Emit pipelined and warp-annotated code from Twill's solution.
|
| 3 |
+
|
| 4 |
+
Based on Section 3.2 and 5 of the paper.
|
| 5 |
+
|
| 6 |
+
Generates:
|
| 7 |
+
1. Prologue: primes the pipeline
|
| 8 |
+
2. Steady State: the main loop body
|
| 9 |
+
3. Epilogue: drains the pipeline
|
| 10 |
+
|
| 11 |
+
Each instruction is annotated with its assigned warp and synchronization barriers.
|
| 12 |
+
"""
|
| 13 |
+
|
| 14 |
+
from typing import Dict, List, Optional, Tuple
|
| 15 |
+
from twill.graph import DependenceGraph, Instruction, DependenceEdge
|
| 16 |
+
from twill.smt_joint import JointSWPWSResult, WarpAssignment
|
| 17 |
+
import math
|
| 18 |
+
|
| 19 |
+
|
| 20 |
+
class PipelinedInstruction:
|
| 21 |
+
"""A single instruction in the pipelined code.
|
| 22 |
+
|
| 23 |
+
Attributes:
|
| 24 |
+
name: Original instruction name
|
| 25 |
+
iteration: Which loop iteration this instance belongs to
|
| 26 |
+
cycle: Clock cycle in the pipelined schedule
|
| 27 |
+
warp: Assigned warp index
|
| 28 |
+
phase: "prologue", "steady", or "epilogue"
|
| 29 |
+
needs_barrier_before: Whether a barrier synchronization is needed before this
|
| 30 |
+
barrier_id: Identifier for the barrier (if needed)
|
| 31 |
+
"""
|
| 32 |
+
def __init__(self, name: str, iteration: int, cycle: int, warp: int, phase: str):
|
| 33 |
+
self.name = name
|
| 34 |
+
self.iteration = iteration
|
| 35 |
+
self.cycle = cycle
|
| 36 |
+
self.warp = warp
|
| 37 |
+
self.phase = phase
|
| 38 |
+
self.needs_barrier_before: bool = False
|
| 39 |
+
self.barrier_id: Optional[str] = None
|
| 40 |
+
|
| 41 |
+
def __repr__(self):
|
| 42 |
+
barrier_str = f" [barrier:{self.barrier_id}]" if self.needs_barrier_before else ""
|
| 43 |
+
return f" cycle {self.cycle:3d}: {self.name}[iter={self.iteration}] @ warp {self.warp}{barrier_str}"
|
| 44 |
+
|
| 45 |
+
|
| 46 |
+
class PipelinedCode:
|
| 47 |
+
"""Complete pipelined code with prologue, steady state, and epilogue."""
|
| 48 |
+
|
| 49 |
+
def __init__(self):
|
| 50 |
+
self.prologue: List[PipelinedInstruction] = []
|
| 51 |
+
self.steady_state: List[PipelinedInstruction] = []
|
| 52 |
+
self.epilogue: List[PipelinedInstruction] = []
|
| 53 |
+
self.initiation_interval: int = 0
|
| 54 |
+
self.schedule_length: int = 0
|
| 55 |
+
self.num_copies: int = 0
|
| 56 |
+
|
| 57 |
+
def all_instructions(self) -> List[PipelinedInstruction]:
|
| 58 |
+
return self.prologue + self.steady_state + self.epilogue
|
| 59 |
+
|
| 60 |
+
def __repr__(self):
|
| 61 |
+
lines = [
|
| 62 |
+
f"PipelinedCode(I={self.initiation_interval}, L={self.schedule_length}, "
|
| 63 |
+
f"copies={self.num_copies})",
|
| 64 |
+
"",
|
| 65 |
+
"=== PROLOGUE ===",
|
| 66 |
+
]
|
| 67 |
+
for instr in self.prologue:
|
| 68 |
+
lines.append(str(instr))
|
| 69 |
+
|
| 70 |
+
lines.append("")
|
| 71 |
+
lines.append("=== STEADY STATE (loop body) ===")
|
| 72 |
+
for instr in self.steady_state:
|
| 73 |
+
lines.append(str(instr))
|
| 74 |
+
|
| 75 |
+
lines.append("")
|
| 76 |
+
lines.append("=== EPILOGUE ===")
|
| 77 |
+
for instr in self.epilogue:
|
| 78 |
+
lines.append(str(instr))
|
| 79 |
+
|
| 80 |
+
return "\n".join(lines)
|
| 81 |
+
|
| 82 |
+
|
| 83 |
+
def generate_pipelined_code(
|
| 84 |
+
graph: DependenceGraph,
|
| 85 |
+
result: JointSWPWSResult,
|
| 86 |
+
) -> PipelinedCode:
|
| 87 |
+
"""Generate pipelined and warp-annotated code from a Twill solution.
|
| 88 |
+
|
| 89 |
+
The code generation follows the standard modulo scheduling approach:
|
| 90 |
+
1. Prologue: iterations 0..n_copies-2, instructions before their steady-state position
|
| 91 |
+
2. Steady State: all n_copies overlapping, running in lockstep offset by I
|
| 92 |
+
3. Epilogue: iterations 1..n_copies-1, instructions after steady-state ends
|
| 93 |
+
|
| 94 |
+
Args:
|
| 95 |
+
graph: The dependence graph
|
| 96 |
+
result: The joint SWP+WS result from Twill
|
| 97 |
+
|
| 98 |
+
Returns:
|
| 99 |
+
PipelinedCode with prologue, steady state, and epilogue
|
| 100 |
+
"""
|
| 101 |
+
I = result.I
|
| 102 |
+
L = result.length
|
| 103 |
+
n_copies = result.num_copies
|
| 104 |
+
M = result.schedule
|
| 105 |
+
wa = result.warp_assignment
|
| 106 |
+
|
| 107 |
+
code = PipelinedCode()
|
| 108 |
+
code.initiation_interval = I
|
| 109 |
+
code.schedule_length = L
|
| 110 |
+
code.num_copies = n_copies
|
| 111 |
+
|
| 112 |
+
# Build the full straight-line schedule Q
|
| 113 |
+
# For each instruction v and each copy i:
|
| 114 |
+
# absolute_time(v, i) = M(v) + i * I
|
| 115 |
+
all_ops = []
|
| 116 |
+
for v in graph.V:
|
| 117 |
+
for i in range(n_copies):
|
| 118 |
+
abs_time = M[v.name] + i * I
|
| 119 |
+
if abs_time < L: # must finish within the schedule
|
| 120 |
+
warp = wa.warp_of(v.name)
|
| 121 |
+
all_ops.append((abs_time, v.name, i, warp))
|
| 122 |
+
|
| 123 |
+
# Sort by time
|
| 124 |
+
all_ops.sort(key=lambda x: (x[0], x[1]))
|
| 125 |
+
|
| 126 |
+
# Partition into prologue, steady state, epilogue
|
| 127 |
+
# Prologue: time < (n_copies - 1) * I
|
| 128 |
+
# Steady state: (n_copies - 1) * I <= time < n_copies * I (one full I window)
|
| 129 |
+
# Epilogue: time >= n_copies * I (but < L)
|
| 130 |
+
|
| 131 |
+
prologue_end = (n_copies - 1) * I if n_copies > 1 else 0
|
| 132 |
+
steady_end = n_copies * I if n_copies > 0 else I
|
| 133 |
+
|
| 134 |
+
for abs_time, name, iteration, warp in all_ops:
|
| 135 |
+
if n_copies <= 1:
|
| 136 |
+
# Only one copy -> everything is steady state
|
| 137 |
+
phase = "steady"
|
| 138 |
+
elif abs_time < prologue_end:
|
| 139 |
+
phase = "prologue"
|
| 140 |
+
elif abs_time < steady_end:
|
| 141 |
+
phase = "steady"
|
| 142 |
+
else:
|
| 143 |
+
phase = "epilogue"
|
| 144 |
+
|
| 145 |
+
instr = PipelinedInstruction(
|
| 146 |
+
name=name,
|
| 147 |
+
iteration=iteration,
|
| 148 |
+
cycle=abs_time,
|
| 149 |
+
warp=warp,
|
| 150 |
+
phase=phase,
|
| 151 |
+
)
|
| 152 |
+
|
| 153 |
+
if phase == "prologue":
|
| 154 |
+
code.prologue.append(instr)
|
| 155 |
+
elif phase == "steady":
|
| 156 |
+
code.steady_state.append(instr)
|
| 157 |
+
else:
|
| 158 |
+
code.epilogue.append(instr)
|
| 159 |
+
|
| 160 |
+
# Add barrier annotations for cross-warp dependencies
|
| 161 |
+
_annotate_barriers(graph, result, code)
|
| 162 |
+
|
| 163 |
+
return code
|
| 164 |
+
|
| 165 |
+
|
| 166 |
+
def _annotate_barriers(
|
| 167 |
+
graph: DependenceGraph,
|
| 168 |
+
result: JointSWPWSResult,
|
| 169 |
+
code: PipelinedCode,
|
| 170 |
+
):
|
| 171 |
+
"""Annotate instructions that need barrier synchronization.
|
| 172 |
+
|
| 173 |
+
A barrier is needed when:
|
| 174 |
+
1. There's a dependence edge (u, v, d, δ)
|
| 175 |
+
2. u and v are assigned to different warps
|
| 176 |
+
|
| 177 |
+
On Hopper/Blackwell, this uses mbarrier-based synchronization.
|
| 178 |
+
"""
|
| 179 |
+
wa = result.warp_assignment
|
| 180 |
+
|
| 181 |
+
# Build a map from (name, iteration) to instruction in the code
|
| 182 |
+
instr_map = {}
|
| 183 |
+
for instr in code.all_instructions():
|
| 184 |
+
instr_map[instr.name, instr.iteration] = instr
|
| 185 |
+
|
| 186 |
+
barrier_counter = 0
|
| 187 |
+
for edge in graph.E:
|
| 188 |
+
src_warp = wa.warp_of(edge.src)
|
| 189 |
+
dst_warp = wa.warp_of(edge.dst)
|
| 190 |
+
|
| 191 |
+
if src_warp != dst_warp:
|
| 192 |
+
# Cross-warp dependency -> needs barrier
|
| 193 |
+
for i in range(result.num_copies):
|
| 194 |
+
j = i + edge.iteration_delay
|
| 195 |
+
if (edge.dst, j) in instr_map:
|
| 196 |
+
target = instr_map[edge.dst, j]
|
| 197 |
+
target.needs_barrier_before = True
|
| 198 |
+
target.barrier_id = f"bar_{barrier_counter}"
|
| 199 |
+
barrier_counter += 1
|
| 200 |
+
|
| 201 |
+
|
| 202 |
+
def generate_pseudocode(
|
| 203 |
+
graph: DependenceGraph,
|
| 204 |
+
result: JointSWPWSResult,
|
| 205 |
+
) -> str:
|
| 206 |
+
"""Generate human-readable pseudocode from the Twill solution.
|
| 207 |
+
|
| 208 |
+
Returns a string of annotated pseudocode showing the pipelined schedule
|
| 209 |
+
with warp assignments and barriers.
|
| 210 |
+
"""
|
| 211 |
+
code = generate_pipelined_code(graph, result)
|
| 212 |
+
wa = result.warp_assignment
|
| 213 |
+
I = result.I
|
| 214 |
+
|
| 215 |
+
lines = []
|
| 216 |
+
lines.append(f"// Twill-generated pipelined schedule")
|
| 217 |
+
lines.append(f"// Initiation Interval I = {I}")
|
| 218 |
+
lines.append(f"// Schedule Length L = {result.length}")
|
| 219 |
+
lines.append(f"// Overlapping copies = {result.num_copies}")
|
| 220 |
+
lines.append(f"//")
|
| 221 |
+
|
| 222 |
+
# Warp assignment summary
|
| 223 |
+
lines.append(f"// Warp Assignment:")
|
| 224 |
+
for v in graph.V:
|
| 225 |
+
warp = wa.warp_of(v.name)
|
| 226 |
+
warp_label = wa.warp_names.get(warp, f"warp_{warp}")
|
| 227 |
+
var_lat = " [variable-latency]" if v.variable_latency else ""
|
| 228 |
+
lines.append(f"// {v.name} -> {warp_label}{var_lat}")
|
| 229 |
+
lines.append(f"")
|
| 230 |
+
|
| 231 |
+
# Prologue
|
| 232 |
+
if code.prologue:
|
| 233 |
+
lines.append(f"// ---- PROLOGUE ----")
|
| 234 |
+
for instr in code.prologue:
|
| 235 |
+
barrier = f" mbarrier.wait({instr.barrier_id});" if instr.needs_barrier_before else ""
|
| 236 |
+
lines.append(f"{barrier}")
|
| 237 |
+
lines.append(f"/* cycle {instr.cycle}, warp {instr.warp} */ "
|
| 238 |
+
f"{instr.name}_{instr.iteration} = {instr.name}(...);")
|
| 239 |
+
lines.append(f"")
|
| 240 |
+
|
| 241 |
+
# Steady state
|
| 242 |
+
lines.append(f"// ---- STEADY STATE (for i in range(N)): ----")
|
| 243 |
+
for instr in code.steady_state:
|
| 244 |
+
barrier = f" mbarrier.wait({instr.barrier_id});\n" if instr.needs_barrier_before else ""
|
| 245 |
+
lines.append(f"{barrier}/* cycle {instr.cycle}, warp {instr.warp} */ "
|
| 246 |
+
f"{instr.name} = {instr.name}(...); // iter offset={instr.iteration}")
|
| 247 |
+
lines.append(f"")
|
| 248 |
+
|
| 249 |
+
# Epilogue
|
| 250 |
+
if code.epilogue:
|
| 251 |
+
lines.append(f"// ---- EPILOGUE ----")
|
| 252 |
+
for instr in code.epilogue:
|
| 253 |
+
barrier = f" mbarrier.wait({instr.barrier_id});\n" if instr.needs_barrier_before else ""
|
| 254 |
+
lines.append(f"{barrier}/* cycle {instr.cycle}, warp {instr.warp} */ "
|
| 255 |
+
f"{instr.name}_{instr.iteration} = {instr.name}(...);")
|
| 256 |
+
|
| 257 |
+
return "\n".join(lines)
|
| 258 |
+
|
| 259 |
+
|
| 260 |
+
def generate_cuda_skeleton(
|
| 261 |
+
graph: DependenceGraph,
|
| 262 |
+
result: JointSWPWSResult,
|
| 263 |
+
) -> str:
|
| 264 |
+
"""Generate a CUDA C++ skeleton from the Twill solution.
|
| 265 |
+
|
| 266 |
+
This produces a template that shows the warp-specialized structure
|
| 267 |
+
with the correct barriers and pipeline stages.
|
| 268 |
+
"""
|
| 269 |
+
wa = result.warp_assignment
|
| 270 |
+
machine = graph.machine
|
| 271 |
+
code = generate_pipelined_code(graph, result)
|
| 272 |
+
|
| 273 |
+
lines = []
|
| 274 |
+
lines.append(f"// CUDA C++ skeleton generated by Twill")
|
| 275 |
+
lines.append(f"// Target: {machine.name}")
|
| 276 |
+
lines.append(f"// I={result.I}, L={result.length}, copies={result.num_copies}")
|
| 277 |
+
lines.append(f"")
|
| 278 |
+
lines.append(f"#include <cuda.h>")
|
| 279 |
+
lines.append(f"#include <cuda/barrier>")
|
| 280 |
+
lines.append(f"")
|
| 281 |
+
lines.append(f"__global__ void twill_kernel(...) {{")
|
| 282 |
+
lines.append(f" const int warp_id = threadIdx.x / 32;")
|
| 283 |
+
lines.append(f" ")
|
| 284 |
+
|
| 285 |
+
# Group by warp
|
| 286 |
+
warp_groups = {}
|
| 287 |
+
for w in range(machine.num_warps):
|
| 288 |
+
instrs = wa.instructions_on_warp(w)
|
| 289 |
+
if instrs:
|
| 290 |
+
warp_groups[w] = instrs
|
| 291 |
+
|
| 292 |
+
for w, instrs in warp_groups.items():
|
| 293 |
+
warp_label = wa.warp_names.get(w, f"warp {w}")
|
| 294 |
+
lines.append(f" if (warp_id == {w}) {{ // {warp_label}")
|
| 295 |
+
lines.append(f" // Operations: {instrs}")
|
| 296 |
+
|
| 297 |
+
# Show prologue operations for this warp
|
| 298 |
+
warp_prologue = [i for i in code.prologue if i.warp == w]
|
| 299 |
+
if warp_prologue:
|
| 300 |
+
lines.append(f" // --- Prologue ---")
|
| 301 |
+
for instr in warp_prologue:
|
| 302 |
+
if instr.needs_barrier_before:
|
| 303 |
+
lines.append(f" mbarrier::arrive_and_wait({instr.barrier_id});")
|
| 304 |
+
lines.append(f" {instr.name}(...); // iter {instr.iteration}")
|
| 305 |
+
|
| 306 |
+
# Show steady-state loop for this warp
|
| 307 |
+
warp_steady = [i for i in code.steady_state if i.warp == w]
|
| 308 |
+
if warp_steady:
|
| 309 |
+
lines.append(f" // --- Steady State ---")
|
| 310 |
+
lines.append(f" for (int i = 0; i < N; i++) {{")
|
| 311 |
+
for instr in warp_steady:
|
| 312 |
+
if instr.needs_barrier_before:
|
| 313 |
+
lines.append(f" mbarrier::arrive_and_wait({instr.barrier_id});")
|
| 314 |
+
lines.append(f" {instr.name}(...);")
|
| 315 |
+
lines.append(f" }}")
|
| 316 |
+
|
| 317 |
+
# Show epilogue for this warp
|
| 318 |
+
warp_epilogue = [i for i in code.epilogue if i.warp == w]
|
| 319 |
+
if warp_epilogue:
|
| 320 |
+
lines.append(f" // --- Epilogue ---")
|
| 321 |
+
for instr in warp_epilogue:
|
| 322 |
+
if instr.needs_barrier_before:
|
| 323 |
+
lines.append(f" mbarrier::arrive_and_wait({instr.barrier_id});")
|
| 324 |
+
lines.append(f" {instr.name}(...); // iter {instr.iteration}")
|
| 325 |
+
|
| 326 |
+
lines.append(f" }}")
|
| 327 |
+
lines.append(f" ")
|
| 328 |
+
|
| 329 |
+
lines.append(f"}}")
|
| 330 |
+
|
| 331 |
+
return "\n".join(lines)
|