openpilot v0.11.1 release

date: 2026-06-04T09:49:56
master commit: c0ab3550eca2e9daf197c46b7e4b24aa9637cf2e
This commit is contained in:
Vehicle Researcher
2026-06-04 09:50:05 -07:00
commit 6adb63b915
3381 changed files with 1044370 additions and 0 deletions
+208
View File
@@ -0,0 +1,208 @@
from typing import cast
from dataclasses import replace
import itertools
from tinygrad.helpers import DISABLE_FAST_IDIV, TRANSCENDENTAL, SPEC, DEBUG, VIZ, IMAGE, NOOPT, EMULATED_DTYPES, NOLOCALS, USE_TC
from tinygrad.helpers import ALLOW_TF32, TracingKey, Context, panic
from tinygrad.uop.ops import PatternMatcher, graph_rewrite, UOp, pm_lower_index_dtype, Ops, UPat, track_rewrites, KernelInfo, ProgramInfo
from tinygrad.uop.render import pyrender
from tinygrad.uop.spec import type_verify, spec_tensor, spec_program
from tinygrad.renderer import Renderer, Estimates
from tinygrad.renderer.isa import ISARenderer, IselContext, PreRegAllocContext
from tinygrad.dtype import dtypes
# import all pattern matchers here
from tinygrad.codegen.gpudims import pm_add_gpudims
from tinygrad.uop.symbolic import sym, symbolic_simple, gep_pushing, symbolic, pm_move_where_on_load
from tinygrad.uop.decompositions import get_late_rewrite_patterns, get_transcendental_patterns, pm_dtype_decomps
from tinygrad.codegen.late.expander import expander, pm_pre_expander, pm_group_for_reduce
from tinygrad.codegen.late.devectorizer import load_store_folding, load_store_indexing, devectorize_buf_and_index, devectorize_alu, pm_reduce, \
ReduceContext, correct_load_store, pm_render, pm_add_loads, pm_make_images
from tinygrad.codegen.opt.postrange import apply_opts
from tinygrad.codegen.late.gater import pm_move_gates_from_index
from tinygrad.codegen.simplify import pm_simplify_ranges, pm_flatten_range, pm_split_ranges, pm_load_collapse
from tinygrad.schedule.rangeify import pm_add_buffers_local, rangeify_codegen, pm_mops, pm_syntactic_sugar, pm_store_ranges
from tinygrad.codegen.late.linearizer import CFGContext, pm_split_ends, pm_add_control_flow, linearize
from tinygrad.codegen.late.regalloc import LinearScanRegallocContext, pm_regalloc_rewrite
def full_rewrite_to_sink(ast:UOp, ren:Renderer, optimize:bool=True) -> UOp:
if VIZ: graph_rewrite(ast, PatternMatcher([]), name="View Base AST")
if DEBUG >= 5: print(pyrender(ast))
if SPEC: type_verify(ast, spec_tensor)
# preprocess
sink = graph_rewrite(ast, pm_mops+pm_syntactic_sugar+pm_store_ranges, ctx=itertools.count(1000), name="early movement ops", bottom_up=True)
# first we optimize
if optimize:
# collapse loads reduce (indexing by a tensor)
sink = graph_rewrite(sink, pm_load_collapse, name="load collapse")
# split ranges
sink = graph_rewrite(sink, pm_split_ranges+pm_flatten_range, ctx={}, name="split ranges")
# symbolic (NOTE: this is a requirement for pm_simplify_ranges to be correct)
sink = graph_rewrite(sink, sym+pm_flatten_range, name="initial symbolic")
# optimize (schedule) the AST
sink = graph_rewrite(sink, pm_flatten_range+pm_simplify_ranges, ctx={}, name="simplify ranges")
# do postrange optimization, BEAM or hand_coded_optimizations
sink = apply_opts(sink, ren, beam=ast.arg.beam)
# ** expander (expand_rewrite) **
sink = graph_rewrite(sink, sym+pm_move_where_on_load, name="postopt symbolic")
# expand
sink = graph_rewrite(sink, sym+pm_pre_expander+pm_group_for_reduce+expander, name="expander")
# add locals
sink = graph_rewrite(sink, pm_add_buffers_local+rangeify_codegen, ctx=itertools.count(0), name="add local buffers")
# ** devectorizer (full_graph_rewrite) **
# remove reduce
sink = graph_rewrite(sink, pm_reduce+gep_pushing, ctx=ReduceContext(), name="remove_reduce")
# add gpu dims (late). this works after devectorize, but it's faster here
sink = graph_rewrite(sink, pm_add_gpudims, ctx=ren, name="add gpudims")
# **** optimizations are done, now we lower to actual code ****
# add loads
sink = graph_rewrite(sink, pm_add_loads, name="** add loads (code)")
# create image buffers
if IMAGE and ren.target.device in {"QCOM", "CL", "PYTHON", "NULL"}:
sink = graph_rewrite(sink, pm_make_images, name="create image buffers", bottom_up=True, ctx=ren.target.arch)
# devectorize
sink = graph_rewrite(sink, sym+devectorize_alu+devectorize_buf_and_index+load_store_folding+correct_load_store+load_store_indexing,
ctx=ren, name="devectorize")
# lower the index dtype to a concrete int
sink = graph_rewrite(sink, pm_lower_index_dtype+load_store_indexing+gep_pushing, name="lower all index dtypes")
sink = graph_rewrite(sink, symbolic, name="post index symbolic")
# optional pre matcher
if ren.pre_matcher is not None: sink = graph_rewrite(sink, ren.pre_matcher, name="pre_matcher")
# decompositions
supported_ops = tuple(ren.code_for_op.keys())
pm_decomp = symbolic_simple+get_late_rewrite_patterns(supported_ops, bool(DISABLE_FAST_IDIV))
pm_transcendental = symbolic_simple+get_transcendental_patterns(supported_ops, TRANSCENDENTAL>=2)
sink = graph_rewrite(sink, pm_decomp, ctx=ren, name="decompositions")
sink = graph_rewrite(sink, pm_dtype_decomps, ctx=(set(), ren), name="decomp dtypes")
sink = graph_rewrite(sink, pm_transcendental, name="transcendental")
# move gates from unrenderable INVALID where
sink = graph_rewrite(sink, pm_move_gates_from_index, name="move gates from index")
# final rules for the renderer (without sym)
extra_matcher = ren.extra_matcher if ren.extra_matcher is not None else PatternMatcher([])
pm_final_rewrite = pm_decomp+pm_render+extra_matcher+pm_split_ends
sink = graph_rewrite(sink, pm_final_rewrite, ctx=ren, name="final rewrite")
# this was the linearizer
sink = graph_rewrite(sink, pm_add_control_flow, ctx=CFGContext(sink), name="add control flow", bottom_up=True)
if VIZ: graph_rewrite(sink, PatternMatcher([]), name="View Output AST")
# return the rewritten sink
return sink
# inject IF/ENDIF. only needed if device doesn't support gated stores
pm_linearize_cleanups = PatternMatcher([
# if statements are not allowed in the graph
(UPat((Ops.IF, Ops.ENDIF)), lambda: panic(RuntimeError, "if not allowed in graph")),
# gated STORE becomes IF-STORE-ENDIF. this is the only use of IF-ENDIF
(UPat(Ops.STORE, name="u", src=(UPat(Ops.INDEX).or_casted(), UPat(), UPat(name="gate", dtype=dtypes.bool))),
lambda u, gate: (u, [mif:=UOp(Ops.IF, src=(gate, u.src[0])), u, UOp(Ops.ENDIF, src=(mif,))]))
])
# requires lst be toposorted. like graph rewrite, but for lines
def line_rewrite(lst:list[UOp], pm:PatternMatcher, ctx=None) -> list[UOp]:
newlst = []
replaced: dict[UOp, UOp] = {}
for u in lst:
nu = u.replace(src=tuple([replaced.get(x, x) for x in u.src]))
ret: tuple[UOp, list[UOp]] = cast(tuple[UOp, list[UOp]]|None, pm.rewrite(nu, ctx)) or (nu, [nu])
replaced[u] = ret[0]
newlst.extend(ret[1])
return newlst
def do_linearize(ctx:Renderer, prg:UOp, sink:UOp) -> UOp:
if DEBUG >= 3 and sink.arg.applied_opts: print(f"{sink.arg.function_name:<25} opts: {sink.arg.applied_opts}")
lst = line_rewrite(linearize(sink), pm_linearize_cleanups)
if SPEC: type_verify(lst, spec_program)
# isa renderers need to allocate registers
if isinstance(ctx, ISARenderer):
if ctx.pre_regalloc_matcher is not None: lst = line_rewrite(lst, ctx.pre_regalloc_matcher, PreRegAllocContext())
regalloc_ctx = LinearScanRegallocContext(lst, ctx)
lst = line_rewrite(lst, pm_regalloc_rewrite, regalloc_ctx)
lst = line_rewrite(lst, ctx.post_regalloc_matcher, regalloc_ctx)
if DEBUG >= 4: print(ctx.asm_str(lst, sink.arg.function_name))
return prg.replace(src=prg.src + (UOp(Ops.LINEAR, src=tuple(lst)),))
def do_estimates(prg:UOp, sink:UOp, lin:UOp) -> UOp|None:
if sink.arg.estimates is not None: return None
return prg.replace(src=(sink.replace(arg=replace(sink.arg, estimates=Estimates.from_uops(lin.src, ignore_indexing=True))),)+prg.src[1:])
def do_assemble(ctx:Renderer, prg:UOp, lin:UOp) -> UOp:
src = "\n".join(str(u.arg) for u in lin.src)
if DEBUG >= 4: print(src)
binary = ctx.asm(prg, lin)
return prg.replace(src=prg.src[:3]+(UOp(Ops.SOURCE, arg=src), UOp(Ops.BINARY, arg=binary)))
def do_render(ctx:Renderer, prg:UOp, lin:UOp) -> UOp:
src = ctx.render(list(lin.src))
new_arg = replace(prg.arg, aux=tuple(ctx.aux(list(lin.src)))) if ctx.has_aux else prg.arg
return prg.replace(src=prg.src + (UOp(Ops.SOURCE, arg=src),), arg=new_arg)
def do_compile(ctx:Renderer, prg:UOp, source:UOp) -> UOp|None:
if DEBUG >= 4: print(source.arg)
lib = ctx.compiler.compile_cached(source.arg)
if DEBUG >= 7: ctx.compiler.disassemble(lib)
return prg.replace(src=prg.src + (UOp(Ops.BINARY, arg=lib),))
pm_to_program = PatternMatcher([
(UPat(Ops.PROGRAM, src=(UPat(Ops.SINK, name="sink"), UPat(Ops.DEVICE)), name="prg"), do_linearize),
(UPat(Ops.PROGRAM, src=(UPat(Ops.SINK, name="sink"), UPat(Ops.DEVICE), UPat(Ops.LINEAR, name="lin")), name="prg"), do_estimates),
(UPat(Ops.PROGRAM, src=(UPat(), UPat(Ops.DEVICE), UPat(Ops.LINEAR, src=UPat(Ops.INS), name="lin")), name="prg"), do_assemble),
(UPat(Ops.PROGRAM, src=(UPat(), UPat(Ops.DEVICE), UPat(Ops.LINEAR, name="lin")), name="prg"), do_render),
(UPat(Ops.PROGRAM, src=(UPat(), UPat(Ops.DEVICE), UPat(Ops.LINEAR), UPat(Ops.SOURCE, name="source")), name="prg"), do_compile),
])
@track_rewrites(name=lambda ast,renderer,ret,**kwargs: TracingKey(ret.src[0].arg.name,(ret.src[0].arg.function_name, ast), ret=renderer), replay=True)
@Context(ALLOW_DEVICE_USAGE=0)
def do_to_program(ast:UOp, renderer:Renderer) -> UOp:
"""
Transform an AST into a compiled PROGRAM. May trigger BEAM search.
Args:
ast: The Ops.SINK/Ops.PROGRAM rooted AST
renderer: The renderer used to generate the code
Returns:
The Ops.PROGRAM with SINK/DEVICE/LINEAR/SOURCE/BINARY.
"""
if ast.op is Ops.PROGRAM: prg = ast
elif ast.op is Ops.SINK:
assert isinstance(ast.arg, KernelInfo), "requires KernelInfo on arg to to_program"
full_sink = full_rewrite_to_sink(ast, renderer, optimize=ast.tag is None)
prog_info = ProgramInfo.from_sink(full_sink)
# instruction selection
if isinstance(renderer, ISARenderer):
full_sink = graph_rewrite(full_sink, renderer.pre_isel_matcher, ctx=itertools.count(-1, -1), name="pre instruction selection", bottom_up=True)
full_sink = graph_rewrite(full_sink, renderer.isel_matcher, ctx=IselContext(full_sink), name="instruction selection", bottom_up=True)
prg = UOp(Ops.PROGRAM, src=(full_sink, UOp(Ops.DEVICE, arg=renderer.target.device)), arg=prog_info)
else: raise RuntimeError(f"can't call to_program on {ast.op}")
if not isinstance(prg.arg, ProgramInfo): prg = prg.replace(arg=ProgramInfo.from_sink(prg.src[0]))
prg = graph_rewrite(prg, pm_to_program, ctx=renderer, name="linearize/render")
if VIZ: graph_rewrite(prg, PatternMatcher([]), name="View Program")
return prg
to_program_cache: dict[tuple, UOp] = {}
def to_program(ast:UOp, renderer:Renderer) -> UOp:
config = (NOOPT, EMULATED_DTYPES, NOLOCALS, USE_TC, IMAGE, DISABLE_FAST_IDIV, TRANSCENDENTAL, ALLOW_TF32)
key = (ast.key, type(renderer), renderer.target, *[x.value for x in config])
if (prg:=to_program_cache.get(key)) is None: to_program_cache[key] = prg = do_to_program(ast, renderer)
return prg
+111
View File
@@ -0,0 +1,111 @@
import math
from tinygrad.uop.ops import UOp, Ops, sint, PatternMatcher, UPat, KernelInfo, ssimplify, AxisType
from tinygrad.helpers import dedup, get_contraction
from tinygrad.dtype import dtypes, AddrSpace, Invalid
from tinygrad.renderer import Renderer
def _dim_max(d:sint) -> int: return d if isinstance(d, int) else int(d.vmax)
def _group_dims(dims:tuple[sint, ...], max_sizes:tuple[int, ...]):
while len(dims) > len(max_sizes) or any(d > m for d,m in zip(dims, max_sizes)):
for i,m in enumerate(max_sizes):
if i < (len(dims)-1) and _dim_max(dims[i]) * _dim_max(dims[i+1]) <= m:
dims = dims[:i] + (dims[i]*dims[i+1],) + dims[i+2:]
break
else: return None
return dims
def _split_dims(dims, max_sizes):
if all(d <= m for d,m in zip(dims, max_sizes)): return dims
_dims = list(dims) + [1]*(3-len(dims))
for i in range(len(_dims)):
while _dims[i] > max_sizes[i]:
div = next((d for d in range(2, math.ceil(math.sqrt(_dims[i])) + 1) if (_dims[i] % d) == 0), 1)
if div == 1: raise RuntimeError(f"cannot limit dim {dims=}, {max_sizes=}")
_dims[i], _dims[(i+1)%len(_dims)] = _dims[i]//div, _dims[(i+1)%len(_dims)]*div
return tuple(_dims[:2] if _dims[2] == 1 else _dims[0] if _dims[1:3] == [1,1] else _dims)
def get_grouped_dims(prefix, dims:tuple[sint, ...], max_sizes:tuple[int, ...]|None, reverse=False) -> list[UOp]:
if reverse: return get_grouped_dims(prefix, dims[::-1], max_sizes)[::-1]
if max_sizes is None: limited = dims
else:
# try to group first: (a, b, c, d) -> (ab, c, d)
limited = grouped if (grouped := _group_dims(dims, max_sizes)) else dims
# check if grouping failed
if len(limited) > len(max_sizes): raise RuntimeError(f"cannot limit dim {dims=}, {max_sizes=}")
# try to split up dims: (a,) -> (b, c)
if limited == dims: limited = _split_dims(dims, max_sizes)
raw_idxs = [UOp.special(s, f"{prefix}{i}") for i,s in enumerate(limited)]
if len(limited) < len(dims):
ret = []
if (contraction:=get_contraction(dims, limited)) is None: raise RuntimeError(f"get_contraction should not be None {dims=} {limited=}")
for idx, contraction_group in zip(raw_idxs, contraction):
for c in contraction_group[:-1]:
ret.append(idx % dims[c])
idx //= dims[c]
ret.append(idx)
return ret
elif (a:=len(limited)) > (b:=len(dims)):
if a == 2 and b == 1: return [raw_idxs[0] * limited[1] + raw_idxs[1]]
if a == 3 and b == 1: return [(raw_idxs[0] * limited[1] + raw_idxs[1]) * limited[2] + raw_idxs[2]]
if limited != dims:
# Convert to 1D
flat = raw_idxs[0]*limited[1]+raw_idxs[1] if len(limited) == 2 else raw_idxs[0]*(limited[1]*limited[2])+raw_idxs[1]*limited[2]+raw_idxs[2]
# Get back original indices from 1D
return [flat//dims[1], flat%dims[1]] if len(dims) == 2 else [flat//(dims[2]*dims[1]), (flat//dims[2])%dims[1], flat%dims[2]]
return raw_idxs
def add_gpudims(ctx:Renderer, s:UOp):
if s.arg is None: return None
s_topo = list(s.toposort())
if any(x.op is Ops.SPECIAL for x in s_topo): return None
# get ranges
all_ranges = {x.arg[0:-1]:x for x in s_topo if x.op is Ops.RANGE}
# extract global/local dims
global_dims = sorted(dedup([x.arg[0:-1] for x in all_ranges.values() if x.arg[-1] in (AxisType.GLOBAL, AxisType.THREAD)]))
local_dims = sorted(dedup([x.arg[0:-1] for x in all_ranges.values() if x.arg[-1] in (AxisType.WARP, AxisType.LOCAL, AxisType.GROUP_REDUCE)]))
if not global_dims and not local_dims: return None
# get global and local shape
ranges = [all_ranges[r] for r in global_dims+local_dims if r in all_ranges]
global_shape = tuple([ssimplify(r.src[0]) for r in ranges if r.arg[0:-1] in global_dims])
local_shape = tuple([ssimplify(r.src[0]) for r in ranges if r.arg[0:-1] in local_dims])
# get the idxs
ki: KernelInfo = s.arg
if ctx.has_threads: idxs = [UOp.variable("core_id", 0, int(global_shape[0])-1, dtypes.int).cast(dtypes.weakint)]
elif ki.dont_use_locals:
assert not local_dims, "can't use locals if there's no local dims"
idxs = get_grouped_dims("idx", global_shape, ctx.global_max, reverse=True)
else:
# define indexes for GPU-like execution
local_idxs = get_grouped_dims("lidx", local_shape, ctx.local_max)
hw_local = [_dim_max(u.src[0]) for u in local_idxs if u.op is Ops.SPECIAL]
global_max = ctx.global_max if ctx.global_prod_max is None else \
tuple(min(gm, pm//l) for gm,pm,l in zip(ctx.global_max or ctx.global_prod_max, ctx.global_prod_max, hw_local+[1]*3))
idxs = get_grouped_dims("gidx", global_shape, global_max, reverse=True) + local_idxs
# apply to multiple ranges
subs = {}
for r in s_topo:
# look for local INDEXes that are not used in the GLOBAL store, then add them as an INVALID
if r.op is Ops.STORE and (idx := r.src[0]).src[0].ptrdtype.addrspace == AddrSpace.GLOBAL:
missing_locals = [all_ranges[rng] for rng in local_dims if all_ranges[rng] not in idx.ranges]
if len(missing_locals):
assert len(idx.src) == 2, "index has 2 sources"
mask: UOp = UOp.uprod(*[x.eq(0) for x in missing_locals])
subs[idx] = idx.replace(src=(idx.src[0], mask.broadcast(idx.src[1].dtype.count).where(idx.src[1], Invalid)))
if r.op is not Ops.RANGE: continue
try:
ii = (global_dims+local_dims).index(r.arg[0:-1])
if r.arg[1] == AxisType.REDUCE: continue
subs[r] = idxs[ii]
except ValueError: continue
return s.substitute(subs)
pm_add_gpudims = PatternMatcher([
# add gpudims must be last
(UPat(Ops.SINK, name="s"), add_gpudims),
])
@@ -0,0 +1,388 @@
from typing import Any, cast
import functools, itertools
from collections import defaultdict
from dataclasses import dataclass
from tinygrad.dtype import dtypes, ImageDType, DType, AddrSpace, Invalid, PtrDType
from tinygrad.uop.ops import UOp, Ops, UPat, PatternMatcher, GroupOp, identity_element
from tinygrad.uop.symbolic import uop_given_valid, parse_valid, invalid_gate
from tinygrad.helpers import getenv, flatten, prod
from tinygrad.renderer import Renderer
# ***** image load valid simplification *****
@functools.cache
def _drop_valid_stmts(valid:UOp, idx:UOp, height:int, width:int) -> list[UOp]:
# can drop valid if idx is out of bound when valid is False
drop_stmt = []
for stmt in valid.split_uop(Ops.AND):
if (res:=parse_valid(stmt)) is None: continue
X, is_upper_bound, c = res
# for X0 + X1 + ... >= 1, check if it's out of bound when Xi = 0 for all i
if not is_upper_bound and c == 1 and all(u.op in GroupOp.Irreducible and u.vmin == 0 for u in X.split_uop(Ops.ADD)):
testidx = functools.reduce(lambda nowidx,u: nowidx.substitute({u:u.const_like(0)}), X.split_uop(Ops.ADD), idx)
if testidx.gep(0).vmax < 0 or testidx.gep(1).vmax < 0:
drop_stmt.append(stmt)
continue
# if X <= c, check if it's out of bound when X = c+1
# if X >= c, check if it's out of bound when X = c-1
test_value = c + 1 if is_upper_bound else c - 1
for i,b in zip(idx.src, (width, height)):
if i.is_increasing():
rw = i.substitute({X:X.const_like(test_value)})
if rw.vmin >= b or rw.vmax < 0:
drop_stmt.append(stmt)
break
return drop_stmt
def simplify_valid_load(buf:UOp, start_idx:UOp, valid:UOp) -> UOp|None:
idx = uop_given_valid(valid, start_idx)
return None if idx is start_idx else buf.index(idx.valid(valid), ptr=True)
def simplify_valid_image_load(buf:UOp, idx_y:UOp, idx_x:UOp, valid:UOp) -> UOp|None:
if not isinstance(buf.dtype, ImageDType): return None
start_idx = UOp.vectorize(idx_x, idx_y)
idx = uop_given_valid(valid, start_idx)
drop_stmt = _drop_valid_stmts(valid, idx, buf.dtype.shape[0], buf.dtype.shape[1])
if not drop_stmt and idx is start_idx: return None
new_valid = UOp.uprod(*ss) if (ss:=[s for s in valid.split_uop(Ops.AND) if s not in drop_stmt]) else None
idx_y, idx_x = idx.gep(1), idx.gep(0)
return buf.index(idx_y.valid(new_valid), idx_x.valid(new_valid), ptr=True) if new_valid is not None else buf.index(idx_y, idx_x, ptr=True)
load_store_indexing = PatternMatcher([
# image load valid idx simplification
(UPat(Ops.INDEX, src=(UPat.var("buf"), invalid_gate)), lambda buf,x,i,cond: simplify_valid_load(buf, x, cond)),
(UPat(Ops.INDEX, src=(UPat.var("buf"), UPat.var("valid").where(UPat.var("idx_y"), UPat(arg=Invalid)),
UPat.var("valid").where(UPat.var("idx_x"), UPat(arg=Invalid)))), simplify_valid_image_load),
])
# ***** load/store grouping *****
def expand_index(ctx, buf:UOp, vec:UOp):
# determine optimal image shapes
if isinstance(dt:=buf.dtype, ImageDType):
x, valid = vec.get_idx().gep(0), vec.get_valid().gep(0)
# search for dims that drop the most valid statements
best_drop, cands = -1, []
for ch, cw in ImageDType.valid_dims(dt, ctx.target.arch):
if (dropped:=len(_drop_valid_stmts(valid, cidx:=uop_given_valid(valid, UOp.vectorize((x//4)%cw, x//(4*cw))), ch, cw))) > best_drop:
best_drop, cands = dropped, [(ch, cw, cidx)]
elif dropped == best_drop: cands.append((ch, cw, cidx))
# and tiebreak with indexing complexity (ie. number of nodes)
h, w, _ = cands[0] if len(cands) == 1 else min(cands, key=lambda cand: len(cand[2].gep(1).simplify().backward_slice))
assert buf.op is Ops.RESHAPE
buf = buf.src[0].replace(dtype=(dtypes.imageh if dt.itemsize == 2 else dtypes.imagef)((h, w, 4))).flatten()
if getenv("UNSAFE_DISABLE_MASK", 0): vec = vec.get_idx()
# generate the individual indexes
return UOp(Ops.STACK, buf.dtype, tuple(buf.index(vec.gep(i), ptr=True) for i in range(vec.dtype.count)))
def fold_expanded_index(midx:UOp):
buf = midx.src[0].src[0]
if not all(s.src[0] is buf for s in midx.src): return None
if not all(isinstance(s.dtype, PtrDType) for s in midx.src): return None
# extract all the relevant offsets
offsets_rootsrc: defaultdict[Any, dict[int, list[int]]] = defaultdict(dict)
for i in range(len(midx.src)):
idx: Any = midx.src[i].src[1].get_idx()
if idx.op is Ops.ADD and idx.src[1].op is Ops.CONST: root_src, arg = idx.src[0], idx.src[1].arg
elif idx.op is Ops.ADD and idx.src[0].op is Ops.CONST: root_src, arg = idx.src[1], idx.src[0].arg
elif idx.op is Ops.CONST and idx.arg is Invalid: root_src, arg = "INVALID", 0
elif idx.op is Ops.CONST: root_src, arg = "CONST", idx.arg
else: root_src, arg = idx, 0
root_src = (midx.src[i].src[1].get_valid(), root_src)
offsets_rootsrc[root_src].setdefault(arg, []).append(i)
# then rewrite everything we can into groups
ret = []
idxs: list[int|None] = [None]*len(midx.src)
global_offset = 0
for offsets in offsets_rootsrc.values():
grouped_offsets = [[x for _,x in group] for _,group in itertools.groupby(enumerate(sorted(offsets.keys())), lambda x: x[1]-x[0])]
for grp in grouped_offsets:
# get the index offset for this element. using [0] is okay, because they are the same
lidx = midx.src[offsets[grp[0]][0]]
if len(grp) > 1: lidx = lidx.cast(buf.ptrdtype.base.vec(len(grp)).ptr(size=buf.ptrdtype.size, addrspace=buf.ptrdtype.addrspace))
# set the idxs of the output
for i,g in enumerate(grp):
for oo in offsets[g]: idxs[oo] = global_offset+i
# add this lidx to the CAT
ret.append(lidx)
global_offset += len(grp)
assert None not in idxs, f"some idxs are missing {idxs}"
# this base thing is for image, we want the CAT to be a normal pointer
post_cat = UOp(Ops.PTRCAT, buf.ptrdtype.base.ptr(size=buf.ptrdtype.size, addrspace=buf.ptrdtype.addrspace).vec(global_offset), tuple(ret))
return post_cat.gep(tuple(cast(list[int], idxs)))
def cat_after_store(cat:UOp, data:UOp):
# TODO: this is written in many places
offset = 0
ret: list[UOp] = []
for s in cat.src:
ret.append(s.store(data.gep(tuple(range(offset, offset+s.dtype.count)))))
offset += s.dtype.count
return UOp.group(*ret)
def gep_on_store(gep:UOp, st:UOp):
# NOTE: we need to invert the gep here, but it may be an expanding gep
# fake argsort. TODO: handle duplicates
a = {}
for i,x in enumerate(gep.arg): a[x] = i
new_arg = tuple(x[1] for x in sorted(a.items()))
return gep.src[0].store(st.gep(new_arg))
load_store_folding = PatternMatcher([
(UPat(Ops.INDEX, src=(UPat(Ops.STACK, src=UPat(name="buf")), UPat.var("vec"))), expand_index),
(UPat(Ops.STACK, src=UPat(Ops.INDEX), name="midx"), fold_expanded_index),
# GEP after LOAD
(UPat(Ops.LOAD, src=(UPat(Ops.GEP, name="gep"),), name="ld", allow_any_len=True),
lambda gep, ld: ld.replace(dtype=ld.dtype.scalar().vec(gep.dtype.count), src=(gep.src[0],)+ld.src[1:]).gep(gep.arg)),
# GEP on data of STORE
(UPat(Ops.STORE, src=(UPat(Ops.GEP, name="gep"), UPat.var("st"))), gep_on_store),
# put PTRCAT after LOAD
(UPat(Ops.LOAD, src=(UPat(Ops.PTRCAT, name="cat"),), name="ld", allow_any_len=True),
lambda cat,ld: UOp(Ops.VCAT, cat.dtype.base.vec(cat.dtype.vcount), tuple(ld.replace(dtype=x.dtype.base, src=(x,)+ld.src[1:]) for x in cat.src))),
# put PTRCAT after STORE
(UPat(Ops.STORE, src=(UPat(Ops.PTRCAT, name="cat"), UPat(name="data"))), cat_after_store),
])
# *** correct load/store ***
def split_load_store(ctx:Renderer|None, ls:UOp, idx:UOp):
# this splits loads and stores into multiple chunks
# if there's only one element to load/store, no splitting needed
if (sz:=ls.src[0].dtype.count) == 1: return None
buf = idx.src[0]
# determine fold lengths
lengths = []
must_divide = True
if ctx is not None and ctx.target.device == "DSP":
lengths = [128,64,32,16,8,4]
must_divide = False
elif buf.dtype.base not in (dtypes.float, dtypes.half, *dtypes.fp8s) and not isinstance(buf.dtype, ImageDType):
pass
elif buf.ptrdtype.addrspace == AddrSpace.REG:
pass
elif isinstance(buf.dtype, ImageDType):
lengths = [4]
elif ctx is not None and ctx.supports_float4:
# TODO: a better way to get this than ctx
lengths = [8,4,2] if buf.dtype.base == dtypes.half and getenv("ALLOW_HALF8") else ([16,8,4,2] if "AMX" in ctx.target.arch else [4,2])
lengths.append(1) # worst case, it's not folded
# filter fold lengths that don't divide
offset, mask = idx.src[1].get_idx(), idx.src[1].get_valid()
if must_divide: lengths = [x for x in lengths if offset.divides(x) is not None]
# split based on the fold lengths
global_offset = 0
ret = []
while global_offset < sz:
# with 1 at the end of the lengths list, this will always hit
for fold_length in lengths:
if global_offset+fold_length > sz: continue
lidx = buf.index((offset + global_offset).valid(mask), ptr=True)
if fold_length > 1: lidx = lidx.cast(buf.ptrdtype.base.vec(fold_length).ptr(size=buf.ptrdtype.size, addrspace=buf.ptrdtype.addrspace))
if ls.op is Ops.STORE: ret.append(ls.replace(src=(lidx,ls.src[1].gep(tuple(range(global_offset, global_offset+fold_length))))))
else: ret.append(ls.replace(src=(lidx,)+ls.src[1:], dtype=ls.dtype.scalar().vec(fold_length)))
global_offset += fold_length
break
# if it wasn't split, we return None. otherwise we CAT them
if len(ret) <= 1: return None
return UOp(Ops.VCAT, ls.dtype, tuple(ret)) if ls.op is Ops.LOAD else UOp.group(*ret)
def get_image_idx(idx:UOp, width:int):
x, valid = idx.src[1].get_idx(), idx.src[1].get_valid()
idx_x, idx_y = (x // 4) % width, x // (4*width)
assert idx.src[0].op is Ops.RESHAPE, "image idx must be on reshape"
return idx.replace(src=(idx.src[0].src[0], idx_y.valid(valid), idx_x.valid(valid)))
def image_fixup(ls:UOp):
# normal image load or store, with the CAST from expand_index
if isinstance(dt:=ls.src[0].src[0].dtype, ImageDType) and ls.src[0].op is Ops.CAST:
assert ls.src[0].dtype.count == 4, "image must be casted to 4"
return ls.replace(src=(get_image_idx(ls.src[0].src[0], dt.shape[1]),)+ls.src[1:])
# this is an unprocessed image without a cast, we should just make it a buffer
if isinstance(dt, ImageDType) and len(ls.src[0].src) == 2:
off = ls.src[0].src[1]
assert ls.src[0].src[0].op is Ops.RESHAPE, "image idx must be on reshape"
idx = ls.src[0].src[0].src[0].replace(dtype=(new_dt:=dtypes.half if dt.itemsize == 2 else dtypes.float).ptr(dt.size)).index(off)
return ls.replace(src=(idx,), dtype=new_dt).cast(dtypes.float) if ls.op is Ops.LOAD else ls.replace(src=(idx, ls.src[1].cast(new_dt)))
correct_load_store = PatternMatcher([
# split LOAD/STORE
(UPat((Ops.LOAD, Ops.STORE), src=(UPat(Ops.INDEX, name="idx").cast(),), name="ls", allow_any_len=True), split_load_store),
# image indexing, including unfoldable images
(UPat((Ops.LOAD, Ops.STORE), name="ls"), image_fixup),
])
# *** uop expander ***
# TODO: there's a lot shared with gep_through_wmma here
def no_vectorized_wmma(wmma:UOp):
out_sz = prod(x[1] for x in wmma.arg[6][-1])
if wmma.dtype.count == out_sz: return None
tsrcs = []
for s,sz in zip(wmma.src, wmma.arg[6]):
ssz = prod(x[1] for x in sz)
tsrcs.append([s.gep(tuple(range(grp, grp+ssz))) for grp in range(0, s.dtype.count, ssz)])
wmmas = [UOp(Ops.WMMA, wmma.dtype.scalar().vec(out_sz), tsrc, wmma.arg) for tsrc in zip(*tsrcs)]
wmma_ex = flatten([[e.gep(i) for i in range(out_sz)] for e in wmmas])
return UOp(Ops.STACK, wmma.dtype, tuple(wmma_ex))
def no_vectorized_alu(alu:UOp):
if alu.dtype.vcount == 1: return None
if alu.op is Ops.WHERE and alu.src[2].arg is Invalid: return None # image load/store has cond.where(idx.vec(2), Invalid) as the index
alus = tuple(UOp(alu.op, alu.dtype.scalar(), tuple(s.gep(i) for s in alu.src), alu.arg) for i in range(alu.dtype.vcount))
return UOp(Ops.STACK, alu.dtype, alus)
def no_vectorized_buf(buf:UOp):
return buf.replace(dtype=buf.ptrdtype.base.scalar().ptr(buf.ptrdtype.size*buf.ptrdtype.count, buf.ptrdtype.addrspace)).cast(buf.dtype)
def no_vectorized_index(buf:UOp, cast:UOp, idx:UOp, bcast:UOp|None=None):
cnt = cast.dtype.count
if bcast is not None and bcast.op is Ops.GEP:
# GEP selects specific lanes; bcast.arg[k] is the offset for lane k, iterate groups × selected lanes
pairs = [(k, g + bcast.arg[k]) for g, k in itertools.product(range(cast.dtype.vcount), range(len(bcast.arg)))]
elif bcast is not None:
# BROADCAST: cross product of components × lanes
pairs = [(j, c) for c, j in itertools.product(range(cnt), range(bcast.dtype.vcount))]
else:
# simple scalar index: one lane, all components
pairs = [(0, c) for c in range(cnt)]
idx_lanes, offsets = (tuple(x) for x in zip(*pairs))
return buf.broadcast(len(pairs)).index(idx.gep(idx_lanes)*cnt + UOp.const(dtypes.weakint.vec(len(pairs)), offsets), ptr=True)
devectorize_buf_and_index = PatternMatcher([
(UPat((Ops.DEFINE_LOCAL, Ops.DEFINE_REG), name="buf"), no_vectorized_buf),
(UPat((Ops.DEFINE_LOCAL, Ops.DEFINE_REG)).or_after(name="buf").cast(name="cast").index(UPat.var("idx")), no_vectorized_index),
(UPat((Ops.DEFINE_LOCAL, Ops.DEFINE_REG)).or_after(name="buf").cast(name="cast").broadcast(name="bcast").index(UPat.var("idx")),
no_vectorized_index),
(UPat((Ops.DEFINE_LOCAL, Ops.DEFINE_REG)).or_after(name="buf").cast(name="cast").gep(name="bcast").index(UPat.var("idx")),
no_vectorized_index),
])
devectorize_alu = PatternMatcher([
# CAST after AFTER
(UPat(Ops.CAST, name="c").f(Ops.AFTER, allow_any_len=True, name="a"), lambda c,a: c.src[0].after(*a.src[1:]).cast(c.dtype)),
# no ALU on vectorized dtypes
(UPat((*GroupOp.ALU, Ops.CAST, Ops.BITCAST), name="alu"), no_vectorized_alu),
(UPat(Ops.WMMA, name="wmma"), no_vectorized_wmma),
])
pm_render = PatternMatcher([
# for rendering, we use explicit VECTORIZE
(UPat(Ops.CONST, name='c'),
lambda c: UOp(Ops.STACK, c.dtype, (UOp.const(c.dtype.scalar(), c.arg),)*c.dtype.vcount) if c.dtype.vcount > 1 else None),
(UPat(Ops.GEP, name='gep'), lambda gep: UOp(Ops.STACK, gep.dtype, tuple(gep.src[0].gep(x) for x in gep.arg)) if len(gep.arg) > 1 else None),
(UPat(Ops.GEP, name='gep'), lambda gep: gep.src[0] if gep.src[0].dtype.vcount == 1 and gep.arg == (0,) else None),
(UPat(Ops.STACK, src=(UPat(name='x'),)), lambda x: x),
])
# *** Ops.REDUCE -> Ops.DEFINE_ACC ***
@dataclass
class ReduceContext:
acc_num: int = 0
def horizontal_reduce(inp:UOp, out_dtype:DType) -> list[UOp]:
# if this has a horizontal reduction component, do that first
if inp.dtype != out_dtype:
# NOTE: [0 1 2 3 4 5 6 7] -> [0+4, 1+5, 2+6, 3+7]
horizontal_amount = inp.dtype.count//out_dtype.count
return [inp.gep(tuple(range(i, inp.dtype.count, horizontal_amount))) for i in range(0, horizontal_amount)]
return [inp]
def reduce_to_acc(ctx:ReduceContext, red:UOp):
inp, reduce_range = red.src[0], red.src[1:]
lst = horizontal_reduce(inp, red.dtype)
assert all(x.dtype == red.dtype for x in lst), f"horizontal reduction mismatch {lst[0].dtype} != {red.dtype}"
# if we have a range
if len(reduce_range) != 0:
topo = inp.toposort()
ended_ranges = flatten([x.ended_ranges for x in topo if x.op is Ops.END])
input_ranges = tuple([x for x in topo if x.op is Ops.RANGE and x not in reduce_range and x not in ended_ranges])
identity = red.const(red.dtype, identity_element(red.arg[0], red.dtype.scalar()))
acc = UOp.placeholder((1,), red.dtype, ctx.acc_num, AddrSpace.REG)
acc_init = acc.after(*input_ranges).index(UOp.const(dtypes.weakint, 0)).store(identity)
lst = [acc.after(acc_init, *reduce_range).index(UOp.const(dtypes.weakint, 0))] + lst # put acc as the first element
ctx.acc_num += 1
ret = functools.reduce(lambda x,y: x.alu(red.arg[0], y), lst)
if len(reduce_range) == 0: return ret
end = acc.index(UOp.const(dtypes.weakint, 0)).store(ret).end(*reduce_range).rtag("mergeable")
return acc.after(end).index(UOp.const(dtypes.weakint, 0))
def merge_reduce_ends(ctx:ReduceContext, sink:UOp):
# merge ENDs that share the same range and nesting context (only those created by reduce_to_acc)
# ENDs at different nesting depths get cloned RANGEs so each RANGE maps to one END
range_to_ends: dict[tuple[UOp, ...], list[UOp]] = {}
for u in sink.backward_slice:
if u.op is Ops.END and u.tag == "mergeable": range_to_ends.setdefault(u.src[1:], []).append(u)
subs: dict[UOp, UOp] = {}
next_axis = max((u.arg[0] for u in sink.backward_slice if u.op is Ops.RANGE), default=-1) + 1
for r, ends in range_to_ends.items():
if len(ends) <= 1: continue
by_ctx: dict[frozenset[UOp], list[UOp]] = {}
for e in ends: by_ctx.setdefault(frozenset(e.ranges), []).append(e)
for i, group in enumerate(by_ctx.values()):
tr = r if i == 0 else tuple(rr.replace(arg=(next_axis + j, *rr.arg[1:])) for j, rr in enumerate(r))
if i > 0: next_axis += len(r)
mapped = [e.substitute(dict(zip(r, tr))) if i > 0 else e for e in group]
merged = mapped[0] if len(mapped) == 1 else UOp.group(*(e.src[0] for e in mapped)).end(*tr)
for e in group: subs[e] = merged
return sink.substitute(subs) if subs else None
pm_reduce = PatternMatcher([
# REDUCE -> DEFINE_ACC+ASSIGN, then merge ENDs with same range
(UPat(Ops.REDUCE, name="red"), reduce_to_acc),
(UPat(Ops.SINK, name="sink"), merge_reduce_ends),
# tensor core built in accumulate
(UPat(Ops.WMMA, name="wmma") + UPat.var("add"),
lambda add, wmma: UOp(wmma.op, wmma.dtype, (wmma.src[0], wmma.src[1], wmma.src[2]+add), wmma.arg)),
])
# add loads
def add_load(idx:UOp):
if isinstance(idx.dtype, PtrDType): return None
assert isinstance(idx.src[0].dtype, PtrDType), f"param is not PtrDType {idx.src[0].dtype}"
return idx.replace(dtype=idx.src[0].dtype).load(dtype=idx.dtype.base)
pm_add_loads = PatternMatcher([
# add loads to non ptr index
(UPat(Ops.INDEX, name="idx"), add_load),
# remove loads from stores
(UPat(Ops.STORE, src=(UPat(Ops.LOAD),), allow_any_len=True, name="s"), lambda s: s.replace(src=(s.src[0].src[0],)+s.src[1:])),
(UPat(Ops.LOAD, src=(UPat(Ops.LOAD),), allow_any_len=True, name="l"), lambda l: l.replace(src=(l.src[0].src[0],)+l.src[1:])),
])
# make images
pm_imageh_store = PatternMatcher([
# store<imageh>(idx, x) is actually store(idx, x.cast(half)) so we can pull the cast into the store
(UPat.var("x", dtypes.float).cast(dtypes.half), lambda x: x),
# store(imageh, a.where(b.half(), c).float()) -> store(imageh, a.where(b, c.float()))
(UPat(Ops.WHERE, src=(UPat.var("a"), UPat.var("b", dtypes.float).cast(dtypes.half), UPat.var("c"))), lambda a,b,c: a.where(b,c.cast(dtypes.float))),
# otherwise, we cast to float
(UPat(GroupOp.All, name="x"), lambda x: x.cast(dtypes.float))
])
def make_image(ctx, ls, buf, off):
if (vcount:=buf.dtype.vcount) != 1: buf = buf.src[0]
if buf.op == Ops.PARAM and not isinstance(dt:=buf.dtype, ImageDType) and (dims:=ImageDType.valid_dims(dt, ctx)):
buf = buf.replace(dtype=(dtypes.imageh if dt.base == dtypes.half else dtypes.imagef)((*dims[0], 4))).flatten()
if vcount != 1: buf = UOp.vectorize(*([buf] * vcount))
if ls.op is Ops.LOAD: return ls.replace(src=(buf.index(off, ptr=True),), dtype=dtypes.float.vec(ls.dtype.vcount)).cast(dt.base)
return buf.index(off, ptr=True).store(pm_imageh_store.rewrite(ls.src[1]) if dt.base == dtypes.half else ls.src[1])
pm_make_images = PatternMatcher([
(UPat((Ops.LOAD, Ops.STORE), src=(UPat(Ops.INDEX, src=(UPat.var("buf"), UPat.var("off"))),), allow_any_len=True, name="ls"), make_image),
# load<imageh> is actually load<half>.cast(float), so load<imageh>.half().float() -> load<half>.float().half().float() -> load<half>.float()
(UPat(Ops.LOAD, name="li").cast(dtypes.half).cast(dtypes.float), lambda li: li if isinstance(li.src[0].dtype, ImageDType) else None),
])
@@ -0,0 +1,160 @@
# this converts a lowerer program into a vectorized program
import functools, itertools
from tinygrad.dtype import dtypes, PtrDType, AddrSpace
from tinygrad.helpers import dedup, flatten, all_same, prod, partition
from tinygrad.uop.ops import UOp, Ops, UPat, PatternMatcher, GroupOp, AxisType, range_start
from tinygrad.schedule.rangeify import BufferizeOpts
def _expand_arg_to_idx(args:tuple[tuple[int, int], ...], rpk:dict[int, int]) -> int:
idx, mul = 0, 1
for axis,m in args[::-1]:
idx += rpk[axis] * mul
mul *= m
return idx
def _choices_from_args(args:tuple[tuple[int, int], ...]) -> list[dict[int, int]]:
return [dict(x) for x in itertools.product(*[zip(itertools.repeat(axis), range(m)) for axis,m in args])]
@functools.cache
def _swizzle_args(cargs:tuple[tuple[int, int], ...], eargs:tuple[tuple[int, int], ...], exclude_args:tuple[int, ...]) -> list[int]:
return [_expand_arg_to_idx(eargs, {**rpk, **{x:0 for x in exclude_args}} if exclude_args else rpk) for rpk in _choices_from_args(cargs)]
def do_expand(root:UOp):
expands = [x for x in root.src if x.op is Ops.UNROLL]
if len(expands) == 0: return None
# NOTE: we 0 out the reduce axis for WMMA. in theory they should all be the same, but is this always correct?
exclude_args = tuple(dedup(root.arg[-1] + tuple(y[0] for y in flatten(root.arg[-2])))) if root.op is Ops.WMMA else ()
if all_same(expands_args:=[x.arg for x in expands]) and len(exclude_args) == 0:
# if there's only one expand arg, it's okay to use it (optimization)
expand_args = expands[0].arg
else:
# otherwise, we sort them and GEP
expand_args = tuple(x for x in sorted(dedup(flatten(expands_args))) if x[0] not in exclude_args)
expand_sz = prod([x[1] for x in expand_args])
new_srcs = []
for i,src in enumerate(root.src):
if src.op is Ops.UNROLL:
if expand_args == src.arg:
# just remove the expand
new_srcs.append(src.src[0])
else:
lst = _swizzle_args(expand_args, src.arg, exclude_args)
# if the base dtype is > 1, put those at the end
if src.dtype.count > 1: lst = flatten([[i*src.dtype.count+j for j in range(src.dtype.count)] for i in lst])
new_srcs.append(src.src[0].gep(tuple(lst)))
else:
# non-UNROLL input
if root.op in range_start and i >= range_start[root.op]:
# for any range args of REDUCE/WMMA/END/etc., pass them through
new_srcs.append(src)
elif root.op is Ops.INDEX and i >= 1 and not isinstance(root.dtype, PtrDType):
new_srcs.append(src)
elif src.dtype.count > 1:
# put any input dtype > 1 grouped together
new_srcs.append(UOp(Ops.VCAT, src.dtype.scalar().vec(expand_sz*src.dtype.count), (src,)*expand_sz))
else:
# repeat the arg
new_srcs.append(src.broadcast(expand_sz))
# for non-PtrDType INDEX on REG buffers, expand into individual scalar INDEXes instead of one vectorized INDEX
# this avoids creating a VECTORIZE of REG pointers which the devectorizer can't resolve
if root.op is Ops.INDEX and not isinstance(root.dtype, PtrDType) and \
isinstance(root.src[0].dtype, PtrDType) and root.src[0].dtype.addrspace == AddrSpace.REG:
idxs = []
for j in range(expand_sz):
idx_srcs = tuple(s.gep(j) if isinstance(s.dtype, PtrDType) or s.dtype.count > 1 else s for s in new_srcs)
idxs.append(UOp(Ops.INDEX, root.dtype, idx_srcs, root.arg))
return UOp(Ops.UNROLL, root.dtype, (UOp(Ops.STACK, root.dtype.vec(expand_sz), tuple(idxs)),), expand_args)
new_arg = root.arg
if root.op is Ops.GEP:
assert root.dtype.count == 1
# is this right?
new_arg = tuple(range(root.arg[0], new_srcs[0].dtype.count, new_srcs[0].dtype.count // expand_sz))
nsrc = UOp(root.op, root.dtype.scalar().vec(root.dtype.count*expand_sz), tuple(new_srcs), new_arg)
return UOp(Ops.UNROLL, root.dtype, (nsrc,), expand_args)
def do_contract(con:UOp):
ex = con.src[0]
# CONTRACT without UNROLL repeats the element VECTORIZED
if ex.op is not Ops.UNROLL: return UOp(Ops.STACK, con.dtype, con.src*con.dtype.count)
# CONTRACT may remove several axes from UNROLL
assert con.dtype == dtypes.void or con.dtype.count == prod([x[1] for x in con.arg]), "dtype is wrong"
idxs = []
for rpk in _choices_from_args(new_ex_args:=tuple(x for x in ex.arg if x not in con.arg)):
idxs += [_expand_arg_to_idx(ex.arg, {**rpk, **lrpk}) for lrpk in _choices_from_args(con.arg)]
return UOp(Ops.UNROLL, con.dtype, (ex.src[0].gep(tuple(idxs)),), new_ex_args)
def end_unrolls(u:UOp):
unrolls, src = partition(u.src[1:], lambda x: x.op is Ops.UNROLL)
if not len(unrolls): return None
ret = UOp(Ops.CONTRACT, dtypes.void, (u.src[0],), sum([x.arg for x in unrolls], start=()))
return u.replace(src=(ret,)+tuple(src))
expander = PatternMatcher([
# push broadcast through AFTER/END
(UPat.var("x").broadcast(name="b").after(name="a", allow_any_len=True), lambda x,b,a: x.after(*a.src[1:]).broadcast(len(b.src))),
(UPat.var("x").broadcast(name="b").end(name="a", allow_any_len=True), lambda x,b,a: x.end(*a.src[1:]).broadcast(len(b.src))),
# END on UNROLL ends the UNROLL
(UPat(Ops.END, name="u"), end_unrolls),
# BUFFERIZE puts UNROLLs for ranges as contract
(UPat(Ops.STAGE, src=(UPat(Ops.UNROLL), UPat(Ops.UNROLL)), name="x"),
lambda x: x.replace(src=tuple(UOp(Ops.CONTRACT, dtype=s.dtype.vec(x.src[1].src[0].dtype.count), src=(s,), arg=x.src[1].arg) for s in x.src))),
# double expand
(UPat(Ops.UNROLL, name="outer", src=(UPat(Ops.UNROLL, name="inner"),)),
lambda outer, inner: UOp(Ops.UNROLL, outer.dtype, (inner.src[0],), inner.arg+outer.arg)),
# do expansion
(UPat((*GroupOp.ALU, Ops.CAST, Ops.BITCAST, Ops.GEP, Ops.WMMA, Ops.LOAD, Ops.STORE, Ops.INDEX, Ops.STAGE,
Ops.STACK, Ops.REDUCE, Ops.END, Ops.AFTER), name="root", custom_early_reject=set([Ops.UNROLL])), do_expand),
(UPat(Ops.CONTRACT, name="con"), do_contract),
# empty UNROLL is NOOP
(UPat(Ops.UNROLL, src=(UPat.var('x'),), arg=()), lambda x: x),
])
# ****
def fix_reduce_unroll(x:UOp):
reduce_range, reduce_expand = partition(x.src[1:], lambda y: y.op is Ops.RANGE)
if len(reduce_expand) == 0: return None
reduce_expand = [x for x in reduce_expand if x.op is not Ops.CONST]
assert all(x.op is Ops.UNROLL for x in reduce_expand), f"not all UNROLLS in {reduce_expand}"
ret = x.src[0]
if len(contract_axis:=flatten(x.arg for x in reduce_expand)):
ret = UOp(Ops.CONTRACT, x.dtype.vec(prod(x[1] for x in contract_axis)), (ret,), tuple(contract_axis), tag=1)
# REDUCE supports both "horizontal" reduction and range reduction. the horizontal elements are taken in the nearest group
return x.replace(src=(ret,)+tuple(reduce_range))
def fix_store_unroll(x:UOp):
store_expand, store_range = partition(x.src[2:], lambda y: y.op is Ops.UNROLL)
if len(store_expand) == 0: return None
return UOp(Ops.CONTRACT, dtypes.void, (x.replace(src=x.src[:2]+tuple(store_range)),), tuple(flatten(x.arg for x in store_expand)), tag=1)
def fix_group_for_reduce(x:UOp):
reduce_gfr, reduce_r = partition(x.src[1:], lambda u: u.op is Ops.RANGE and u.arg[1] == AxisType.GROUP_REDUCE)
if len(reduce_gfr) == 0: return None
# NOTE: if there's other locals here, we need them in the buffer too
upstream_locals = [u for u in x.toposort() if u.op is Ops.RANGE and u.arg[1] == AxisType.LOCAL]
# do only the non grouped reduces early
ret = x.replace(src=(x.src[0],)+tuple(reduce_r))
reduce_loop = [x.replace(arg=(x.arg[0]+100, AxisType.REDUCE)) for x in reduce_gfr]
buf = ret.bufferize(*upstream_locals, *reduce_gfr, arg=BufferizeOpts(reduce_gfr[0].arg[0], AddrSpace.LOCAL)).index(*upstream_locals, *reduce_loop)
# do the final reduce (if/barrier are added in gpudims step)
return buf.reduce(*reduce_loop, arg=x.arg)
pm_pre_expander = PatternMatcher([
# rewrite UPCAST/UNROLL range to something to be expanded
(UPat(Ops.RANGE, name="r"),
lambda r: UOp(Ops.UNROLL, r.dtype, (UOp.const(r.dtype.vec(s:=r.vmax+1), tuple(range(s))),), ((r.arg[0],s),)) \
if r.arg[1] in {AxisType.UNROLL, AxisType.UPCAST} else None),
# fix REDUCEs with UNROLLs
(UPat(Ops.REDUCE, name="x"), fix_reduce_unroll),
(UPat(Ops.STORE, name="x"), fix_store_unroll),
])
pm_group_for_reduce = PatternMatcher([
# fix group for reduce
(UPat(Ops.REDUCE, name="x"), fix_group_for_reduce),
])
@@ -0,0 +1,25 @@
# this is a temporary intermediate step while we remove this index style
from tinygrad.uop.ops import PatternMatcher, UPat, Ops
from tinygrad.dtype import Invalid, dtypes
pm_move_gates_from_index = PatternMatcher([
# here we create the alt value for load to be 0s and remove the where Invalid
(UPat.var("buf").index(UPat.var("gate").where(UPat.var("idx"), UPat(arg=Invalid))).or_casted(name="cast").load(name="l"),
lambda buf,gate,idx,cast,l: buf.index(idx, ptr=True).cast(cast.dtype).load(l.const_like(0), gate, dtype=l.dtype)),
(UPat.var("buf").index(UPat.var("gate").where(UPat.var("idx"), UPat(arg=Invalid))).or_casted(name="cast").store(UPat.var("data")),
lambda buf,gate,idx,cast,data: buf.index(idx, ptr=True).cast(cast.dtype).store(data, gate)),
# for image idx
(UPat.var("buf").index(UPat.var("gate").where(UPat.var("idx_y"), UPat(arg=Invalid)),
UPat.var("gate").where(UPat.var("idx_x"), UPat(arg=Invalid))).or_casted(name="cast").load(name="l"),
lambda buf,gate,idx_y,idx_x,cast,l: buf.index(idx_y, idx_x, ptr=True).cast(cast.dtype).load(l.const_like(0), gate, dtype=l.dtype)),
(UPat.var("buf").index(UPat.var("gate").where(UPat.var("idx_y"), UPat(arg=Invalid)),
UPat.var("gate").where(UPat.var("idx_x"), UPat(arg=Invalid))).or_casted(name="cast").store(UPat.var("data")),
lambda buf,gate,idx_y,idx_x,cast,data: buf.index(idx_y, idx_x, ptr=True).cast(cast.dtype).store(data, gate)),
# Where after gated load becomes alt value
(UPat.var("gate").where(UPat().load(UPat(), UPat.var("gate", dtype=dtypes.bool), name="l").or_casted(), UPat.var("a")), lambda gate,l,a:
l.replace(src=(l.src[0], a.src[0] if a.op is Ops.CAST and a.src[0].dtype == l.dtype else a.cast(l.dtype), l.src[2])).cast(a.dtype)),
(UPat.var("gate").where(UPat.var("a"), UPat().load(UPat(), ~UPat.var("gate", dtype=dtypes.bool), name="l").or_casted()), lambda gate,l,a:
l.replace(src=(l.src[0], a.src[0] if a.op is Ops.CAST and a.src[0].dtype == l.dtype else a.cast(l.dtype), l.src[2])).cast(a.dtype)),
])
@@ -0,0 +1,96 @@
import heapq
from typing import Any
from collections import defaultdict
from tinygrad.uop.ops import PatternMatcher, UOp, Ops, UPat, multirange_str
from tinygrad.helpers import prod, getenv, TUPLE_ORDER
def linearize(sink:UOp) -> list[UOp]:
# this is a toposort with priority
lst = list(sink.toposort())
out_degree:defaultdict[UOp, int] = defaultdict(int)
priorities:dict[UOp, tuple[int, int, Any]] = {}
# get consumers and assign priorities
# NOTE: this requires the lst be locally toposorted
for u in reversed(lst):
for s in u.src: out_degree[s] += 1
# we place UOps with higher run_counts later
run_count = prod([int(r.vmax)+1 for r in u.ranges])
# simple priority override. this is all bottom up now, smaller numbers will be closer to the top
extra = None
match u.op:
# the order and placement of these defines is important
case Ops.PARAM: priority, extra = -20, u.arg
case Ops.DEFINE_VAR: priority, extra = -19, u.arg
case Ops.DEFINE_REG: priority = -18
case Ops.DEFINE_LOCAL: priority = -17
case Ops.LOAD: priority = -1 # place loads early
case Ops.STORE: priority = 1 # place stores late
case Ops.RANGE: priority = 5 # placing RANGE is good
case Ops.END: priority = -5 # placing END is bad
case _: priority = 0 # everything else has priority 0
priorities[u] = (run_count, priority, extra)
# number the uops in "ideal" order
nkey = {u:i for i,u in enumerate(sorted(lst, key=lambda x: priorities[x]+(x.tuplize if TUPLE_ORDER else ())))}
# then force them to be toposorted in as close to the ideal order as possible
heap = [(-nkey[sink], sink)]
newlst = []
while heap:
newlst.append(u:=heapq.heappop(heap)[1])
for v in u.src:
out_degree[v] -= 1
if out_degree[v] == 0: heapq.heappush(heap, (-nkey[v],v))
newlst = newlst[::-1]
if getenv("DEBUG_LINEARIZE"):
for i,u in enumerate(newlst):
print(f"{i:4d} {str(u.op):20s} {multirange_str(u.ranges, color=True, pad=10)} {priorities[u]}")
return newlst
class CFGContext:
def __init__(self, sink:UOp):
# there are 3 relationships between ranges:
# nested, meaning endrange y is a dependency of endrange x and range x is a dependency of endrange y
# dependent, meaning endrange y is a dependency of endrange x and range x is not a dependency of endrange y
# independent, endrange y is not a dependency of endrange x
# everything is nested inside the sink
deps: dict[UOp, dict[UOp, None]] = {}
nesting: dict[UOp, UOp] = {}
for u in sink.toposort():
# get the deps from the src
deps[u] = {}
for s in u.src: deps[u] |= deps[s]
if u.op in (Ops.END, Ops.SINK):
nesting |= {x:u for x in deps[u] if x.op is Ops.END and (u.op is Ops.SINK or u.src[1] in deps[x]) and x not in nesting}
if u.op in (Ops.RANGE, Ops.END): deps[u][u] = None
self.edges: dict[UOp, UOp] = {}
siblings: dict[UOp, list[UOp]] = {}
for k,vv in nesting.items(): siblings.setdefault(vv, []).append(k)
for k,v in siblings.items():
# ranges that have dependencies on other siblings need to be scheduled after them
order = sorted(v, key=lambda x: len([u for u in v if u in deps[x]]))
zipped = zip(order, order[1:]) if k.op is Ops.SINK else zip([k.src[1]] + order, order)
for x,y in zipped:
# TODO: this can happen! it causes infinite loop in shufflenet
assert y.src[1] not in x.backward_slice_with_self
self.edges[y.src[1]] = x
pm_add_control_flow = PatternMatcher([
(UPat(Ops.RANGE, name="x"), lambda ctx,x: x.replace(src=x.src+(y,)) if (y:=ctx.edges.get(x)) is not None else None),
])
def do_split_ends(e:UOp):
ret = e.src[0]
for r in sorted(UOp.sink(*e.src[1:]).ranges, key=lambda x: x.arg, reverse=True): ret = ret.end(r)
return ret
pm_split_ends = PatternMatcher([
# split the ends
(UPat(Ops.END, name="e"), do_split_ends),
])
@@ -0,0 +1,137 @@
import itertools
from tinygrad.helpers import dedup
from tinygrad.uop.ops import UOp, Ops, PatternMatcher, UPat
from tinygrad.renderer.isa import ISARenderer, Register
from tinygrad.dtype import dtypes, PtrDType
PSEUDO_OPS = {Ops.CONST, Ops.NOOP, Ops.AFTER, Ops.BARRIER, Ops.GROUP}
class LinearScanRegallocContext:
# returns the uop that defines the virtual register
def vdef(self, v:Register) -> UOp: return self.uops[self.live_range[v][0]]
def __init__(self, uops:list[UOp], ren:ISARenderer):
self.uops = uops
self.ren = ren
self.idx = itertools.count()
# the label associated with each loop NOTE: this is only used post regalloc and should be removed
self.loop_label: dict[UOp, str] = {}
# compute live ranges
self.live_range: dict[Register, list[int]] = {}
lr = self.live_range
ranges: list[Register] = []
for i,u in enumerate(reversed(uops)):
if u.op in PSEUDO_OPS: continue
defs = u.tag if isinstance(u.tag, tuple) else ()
for v in defs + tuple(s.reg for s in dedup(u.src)):
if isinstance(v, Register): lr.setdefault(v, []).insert(0, len(uops) - 1 - i)
for v in defs:
if v in lr and (n:=max((lr[rng][-1] for rng in ranges if lr[rng][0] <= lr[v][-1] < lr[rng][-1]), default=None)): lr[v].append(n)
if u.op is Ops.RANGE: ranges.append(u.reg)
# allocate registers
self.stack_size: int = 0
self.locals: dict[UOp, UOp] = {}
self.spills: dict[Register, UOp] = {} # mapping from virtual to stack slot
self.reals: dict[int, dict[Register, Register]] = {} # mapping from virtual to real at each program point
self.insert_before: dict[int, list[tuple[Register, Register]]] = {} # fills to be inserted at each program point
live: dict[Register, Register] = {} # mapping from virtual to real that's currently assigned to it
live_ins: list[dict[Register, Register]] = [] # mapping from virtual to real at loop entry
def alloc(cons:tuple[Register, ...], i:int) -> Register:
live_inv = {v:k for k,v in live.items()}
# allocate the best register. Registers not in live or not used again are free and have priority,
# otherwise pick the one with the furthest next use. Regs that appear first in cons have priority in case of a tie
reg,vreg = max(((r,live_inv.get(r)) for r in cons),
key=lambda rv: next((j-i for j in ([] if rv[1] is None else lr[rv[1]]) if j >= i), len(uops)))
return live.pop(vreg) if vreg is not None else reg
# assign register to spilled virtual and record load to be emitted before current uop, also assign it a stack slot
def fill(v:Register, i:int, cons:tuple[Register, ...]|None=None) -> Register:
if v not in self.spills:
dt = self.vdef(v).dtype
sz = dt.scalar().itemsize * dt.count if not isinstance(dt, PtrDType) else 8
offset = self.stack_size + (sz - self.stack_size % sz) % sz
self.spills[v] = UOp.const(dtypes.int32, offset)
self.stack_size = offset + sz
r = alloc(cons if cons is not None else v.cons, i)
self.insert_before.setdefault(i, []).append((v, r))
return r
for i,u in enumerate(uops):
if u.op in PSEUDO_OPS: continue
# allocate uses
for s in u.src:
# HACK: cause of later hacks to lower range
if u.op is Ops.END: continue
if not isinstance(v:=s.reg, Register): continue
if v not in live: live[v] = fill(v, i)
self.reals.setdefault(i, {})[v] = live[v]
# allocate defs
if isinstance(u.tag, tuple):
for j,v in enumerate(u.tag):
# register should only be defined once
assert isinstance(v, Register) and lr[v][0] == i
cons = v.cons
# two address instructions (src is reused by def) can only coalesce reused src. reused src goes first to get priority in case of a tiebreak
if ren.is_two_address(u) and j == 0:
uses = tuple(live.get(s.reg) for s in u.src)
cons = ((uses[0],) if uses[0] in cons else ()) + tuple(r for r in cons if r not in uses)
# HACK: cause the range is missing the comparison
live[v] = alloc(cons, i+1 if u.op is not Ops.RANGE else i)
self.reals.setdefault(i, {})[v] = live[v]
# allocate stack array
if u.op is Ops.DEFINE_LOCAL:
self.locals[u] = UOp.const(dtypes.int32, self.stack_size)
self.stack_size += u.dtype.nbytes()
# loop prologue, avoid loading inside the loop
if u.op is Ops.RANGE:
# we move to registers vars used in the loop sorted by next use, vars not used in the loop will not be reloaded in the epilogue
used_in_loop = [v for v in live.keys() | self.spills.keys() if any(i <= l < lr[u.reg][-1] for l in lr[v])]
sorted_uses = sorted(used_in_loop, key=lambda k: (next(l-i for l in lr[k] if l >= i), lr[k][0], k.name, k.index))
live_in: dict[Register, Register] = {}
for v in sorted_uses:
# if all the possible registers are already in live_in there's no space for this var
if set(v.cons).issubset(live_in.values()): continue
if v not in live: live[v] = fill(v, i)
live_in[v] = live[v]
live_ins.append(live_in)
# loop epilogue, reload registers that were live at loop entry
if u.op is Ops.END:
# TODO: if a uop is in a different reg in live out vs live in move between registers instead of loading
# TODO: don't reload if first use in loop is a load
for v,r in live_ins.pop().items():
if v not in live or live[v] != r: live[v] = fill(v, i, (r,))
def regalloc_rewrite(ctx:LinearScanRegallocContext, x:UOp):
i = next(ctx.idx)
if x.op in PSEUDO_OPS: return None
nsrc = []
for j,s in enumerate(x.src):
# v here is the virtual defined by the original s as s is the rewritten version
if i in ctx.reals and (v:=ctx.uops[i].src[j].reg) in ctx.spills: nsrc.append(ctx.ren.fill(ctx.spills[v], ctx.vdef(v), ctx.reals[i][v]))
else: nsrc.append(s)
ndefs = tuple(ctx.reals[i][v] for v in x.tag) if isinstance(x.tag, tuple) else x.tag
if x.op is Ops.DEFINE_LOCAL: nx = ctx.ren.isel_matcher.rewrite(ctx.ren.stack_pointer().index(ctx.locals[x], dtype=x.dtype, tag=ndefs))
else: nx = x.replace(src=tuple(nsrc), tag=ndefs)
before = [ctx.ren.fill(ctx.spills[v], ctx.vdef(v), r) for v,r in ctx.insert_before.get(i, [])]
after = [ctx.ren.spill(ctx.spills[v], nx) for v in x.tag if v in ctx.spills] if isinstance(x.tag, tuple) else []
# alloc/dealloc stack
if ctx.stack_size > 0:
sp = ctx.ren.stack_pointer()
offset = UOp(Ops.CONST, sp.dtype, arg=ctx.stack_size)
if i == 0: before = [ctx.ren.isel_matcher.rewrite(UOp(Ops.SUB, sp.dtype, (sp, offset), tag=sp.tag))] + before
elif i == len(ctx.uops) - 2: before += [ctx.ren.isel_matcher.rewrite(UOp(Ops.ADD, sp.dtype, (sp, offset), tag=sp.tag))]
return nx, before + [nx] + after
pm_regalloc_rewrite = PatternMatcher([
(UPat({Ops.INS, Ops.RANGE, Ops.END, Ops.DEFINE_REG, Ops.DEFINE_LOCAL, Ops.PARAM, Ops.DEFINE_VAR, Ops.SPECIAL} | PSEUDO_OPS, name="x"),
regalloc_rewrite),
])
@@ -0,0 +1,20 @@
# opt opinionatedly transforms an ast into an optimized ast using either heuristics or beam search
from __future__ import annotations
from enum import Enum, auto
from dataclasses import dataclass
class OptOps(Enum):
TC = auto(); UPCAST = auto(); UNROLL = auto(); LOCAL = auto(); THREAD = auto() # noqa: E702
GROUP = auto(); GROUPTOP = auto(); NOLOCALS = auto(); PADTO = auto(); SWAP = auto() # noqa: E702
def __lt__(self, x:OptOps): return self.value < x.value
@dataclass(frozen=True, order=True)
class Opt:
op: OptOps
axis: int|None = None
arg: int|tuple|None = None
def __repr__(self): return f"Opt(op={self.op}, axis={self.axis}, arg={self.arg})"
class KernelOptError(Exception): pass
def check(cond:bool, msg:str=""):
if not cond: raise KernelOptError(msg)
@@ -0,0 +1,191 @@
import itertools
from tinygrad.codegen.opt import Opt, OptOps, KernelOptError
from tinygrad.helpers import getenv, DEBUG, prod, NOLOCALS, TC_OPT, TC_SELECT, USE_TC, IMAGE
from tinygrad.dtype import PtrDType, ImageDType
from tinygrad.uop.ops import Ops, resolve, AxisType
from tinygrad.codegen.opt.postrange import Scheduler
def hand_coded_optimizations(k:Scheduler) -> Scheduler:
# first try the tensor cores
""" Attempts to apply a tensor core optimization to the kernel. If one exists and applies properly, return true, otherwise return false.
Tensor cores are optimized instructions that matrix multiply-accumulate across a wave of threads: D(M, N) = A(M, K) * B(K, N) + C(M, N).
Keyword arguments:
use_tensor_cores -- controls how tensor cores are applied (default 1)
0: will disable any tensor core matching
1: enable tensor cores
2: apply tensor core shape but don't use UOp.WMMA
extra_opts -- additional Opt's to apply after the tensor core instead of the hand-coded additional Opt's (default None)
tc_select -- specifies which tensor core(s) to use for optimization (default -1)
-1: iterates through all available tensor cores in order and uses the first one that matches the requirements (dims and dtypes)
[0-N]: uses only the n'th tensor core available; useful for search
tc_opt -- controls which kinds of kernels may be eligible for tensor cores application (default 2 during BEAM, 0 otherwise)
0: applies to only kernels with a single reduce axis and direct Ops.LOAD into Ops.MUL
1: allows kernels with multiple reduce axes and also multiplication of Ops.CAST'd buffers
2: allows kernels with M, N, K axes that are not multiples of the tensor core dimensions by applying padding those axes as needed
"""
# NOTE: unless TC_OPT is > 0, we only trigger tensor cores if there's only one reduce axis
if USE_TC > 0 and (len(k.axes_of(AxisType.GROUP_REDUCE, AxisType.REDUCE)) == 1 or (TC_OPT.value >= 1)):
good_tc_opt = False
tk = k.copy()
try: # check TC first and apply hand-coded opts if successful
rngs = tk.apply_opt(Opt(OptOps.TC, 0, (TC_SELECT.value, TC_OPT.value, USE_TC.value)))
good_tc_opt = True
except KernelOptError:
pass
# skip hand-coded TC opts if AMX, upcasting will make kernel slower
if good_tc_opt and "AMX" not in k.ren.target.arch:
if rngs is not None:
for tc_dim in [1,0]: # attempt to upcast M and N
szs = [sz for sz in [5,4,3,2] if rngs[tc_dim].src[0].divides(sz) is not None]
if szs:
# set it to the replaced range
rngs[tc_dim] = tk.apply_opt(Opt(OptOps.UPCAST, tk.rngs.index(rngs[tc_dim]), szs[0]))[0]
if (szs := [sz for sz in [4,2] if rngs[0].src[0].divides(sz) is not None]): # attempt to local N
tk.apply_opt(Opt(OptOps.LOCAL, tk.rngs.index(rngs[0]), szs[0]))
return tk
# make a copy so it does not mutate the input
k = k.copy()
# upcast float4 images, this must be early so we don't accidentally add locals before the upcast
if IMAGE:
for buf_index,buf in enumerate(k.bufs):
if isinstance(buf.src[0].dtype, PtrDType) and ImageDType.valid_dims(buf.src[0].dtype, k.ren.target.arch):
# part of is_expanded
unit_stride_axes_mul_4 = [k.rngs.index(c) for c in k.bufs[buf_index].src[1].get_idx().split_uop(Ops.ADD) if
c.op is Ops.RANGE and (c.vmax+1)%4 == 0]
if len(unit_stride_axes_mul_4):
if (axis:=unit_stride_axes_mul_4[0]) in k.upcastable_dims:
k.apply_opt(Opt(OptOps.UPCAST, axis, 4))
elif axis in k.unrollable_dims:
k.apply_opt(Opt(OptOps.UNROLL, k.unrollable_dims.index(axis), 4))
# should use matvec - TODO: adjust/tune based on the wide vs tall/large vs small mat
MV_BLOCKSIZE, MV_THREADS_PER_ROW, MV_ROWS_PER_THREAD = getenv("MV_BLOCKSIZE", 4), getenv("MV_THREADS_PER_ROW", 8), getenv("MV_ROWS_PER_THREAD", 4)
if k.ren.has_local and getenv("MV",1) != 0 and (MV_BLOCKSIZE > 1 or MV_THREADS_PER_ROW > 1 or MV_ROWS_PER_THREAD > 1) and \
k.reduceop is not None and k.reduceop.arg[0] is Ops.ADD and len(k.full_shape) >= 2 and k.ren.has_shared and \
(mulop:=k.reduceop.src[0]).op is Ops.MUL and mulop.src[0].op is Ops.INDEX and mulop.src[1].op is Ops.INDEX:
idx0, idx1 = mulop.src[0].src[1].get_idx(), mulop.src[1].src[1].get_idx()
if k.ranges_of(AxisType.REDUCE):
first_reduce_rng = k.ranges_of(AxisType.REDUCE)[0]
if any(u is first_reduce_rng for u in idx0.split_uop(Ops.ADD)) and all(r in idx1.ranges for r in idx0.ranges):
for global_idx in k.axes_of(AxisType.GLOBAL):
if first_reduce_rng.src[0].divides(MV_THREADS_PER_ROW) is not None and k.full_shape[global_idx]%(MV_BLOCKSIZE*MV_ROWS_PER_THREAD) == 0:
if DEBUG >= 3:
print(f"MATVEC: {k.full_shape=} {first_reduce_rng.render()} {MV_BLOCKSIZE=} {MV_THREADS_PER_ROW=} {MV_ROWS_PER_THREAD=}")
try:
if MV_THREADS_PER_ROW > 1: k.apply_opt(Opt(OptOps.GROUP, 0, MV_THREADS_PER_ROW))
except KernelOptError: pass
if MV_BLOCKSIZE > 1: k.apply_opt(Opt(OptOps.LOCAL, global_idx, MV_BLOCKSIZE))
if MV_ROWS_PER_THREAD > 1: k.apply_opt(Opt(OptOps.UPCAST, global_idx, MV_ROWS_PER_THREAD))
return k
# are we grouping? (requires local shape support)
if resolve(prod(k.output_shape[i] for i in k.upcastable_dims) <= (240 if NOLOCALS else 2048), False):
for axis, sz in itertools.product((0, 1, 2), (16,)):
try:
k.apply_opt(Opt(OptOps.GROUPTOP, axis, sz))
break
except KernelOptError: pass
# no more opt if we are grouping
if k.group_for_reduces: return k
# **** below this line need to be optional and benchmarked ****
# if there are small dims with lots of valid masks, upcast them (they might be from Tensor.stack)
to_upcast: list[int] = []
# upcast leading axes first (hack-ish for winograd; we actually want to upcast masked axes with low stride first)
for axis in k.upcastable_dims:
# for Schedule, we check if the range is used in INDEX gates or WHERE gates
is_masked = any(any(o is k.rngs[axis] for o in u.src[0].backward_slice) for u in k.ast.backward_slice if u.op is Ops.WHERE)
if k.full_shape[axis] <= 7 and is_masked and prod(k.full_shape[j] for j in to_upcast) * k.full_shape[axis] <= 7 * 7:
if DEBUG >= 4: print(f"upcasting masked axis : {axis}")
to_upcast.append(axis)
for axis in to_upcast[::-1]: k.apply_opt(Opt(OptOps.UPCAST, axis, 0))
# potentially do more upcasts of non reduce axes based on a heuristic
is_dsp = k.ren is not None and k.ren.target.device == "DSP"
upcasted_axis: set[int] = set()
while resolve(prod(k.output_shape[i] for i in k.upcastable_dims) >= 1024) and (k.upcast_size() < 32):
xb_choices = []
# consider all upcastable axes with 3 or 4 upcast (128 on the DSP)
for axis, upcast_amount in itertools.product(k.upcastable_dims, ([128] if not len(upcasted_axis) else []) if is_dsp else [3,4]):
# if we haven't upcasted it, it mods, and buffer has stride 0 on axis while having no stride 0 in the upcasted axis already
if axis in upcasted_axis or k.full_shape[axis]%upcast_amount != 0: continue
rng = k.rngs[axis]
if any(rng not in b.src[1].get_idx().backward_slice and all(r2 in b.src[1].get_idx().backward_slice
for r2 in k.ranges_of(AxisType.UPCAST, AxisType.UNROLL)) for b in k.bufs):
num_strides, sum_strides = 0, 0
for b in k.bufs:
idx = b.src[1].get_idx()
if rng in idx.backward_slice: num_strides += 1
for c in idx.split_uop(Ops.ADD):
if c is rng: sum_strides += 1
if c.op is Ops.MUL and c.src[0] is rng and c.src[1].op is Ops.CONST: sum_strides += c.src[1].arg
if c.op is Ops.MUL and c.src[1] is rng and c.src[0].op is Ops.CONST: sum_strides += c.src[0].arg
xb_choices.append((num_strides, sum_strides, axis, upcast_amount))
if xb_choices:
xb_choices = sorted(xb_choices)
if DEBUG >= 4: print(f"more upcast axis : {xb_choices}")
k.apply_opt(Opt(OptOps.UPCAST, xb_choices[0][2], xb_choices[0][3]))
upcasted_axis.add(xb_choices[0][2])
else: break
# if last reduce dim is small(ish), loop unroll the reduce
# NOTE: this can fail on multireduce with mismatching dimensions, this is okay
try:
if k.unrollable_dims and (k.upcast_size() <= 4 or not k.axes_of(AxisType.UNROLL)) and (k.upcast_size() < 64):
if (s:=k.full_shape[k.unrollable_dims[-1]]) <= 32:
k.apply_opt(Opt(OptOps.UNROLL, len(k.unrollable_dims)-1, 0))
# if it's small, upcast a second reduce dimension too
if k.unrollable_dims and s <= 3 and k.full_shape[k.unrollable_dims[-1]] <= 3:
k.apply_opt(Opt(OptOps.UNROLL, len(k.unrollable_dims)-1, 0))
else:
for splits in [4]:
if k.full_shape[axis:=k.unrollable_dims[-1]]%splits == 0:
k.apply_opt(Opt(OptOps.UNROLL, len(k.unrollable_dims)-1, splits))
break
except KernelOptError: pass
# if nothing at all is upcasted and it's easy to, do an upcast
for splits in [4]:
if not k.upcasted and k.upcastable_dims and k.full_shape[k.upcastable_dims[-1]] % splits == 0:
k.apply_opt(Opt(OptOps.UPCAST, k.upcastable_dims[-1], splits))
# **** local groups ****
if k.ren.has_local:
if NOLOCALS:
k.apply_opt(Opt(OptOps.NOLOCALS))
else:
# prioritize making expand axes local
local_axis_ranking = [(any(k.rngs[axis] not in b.src[1].get_idx().backward_slice for b in k.bufs), axis) \
for axis in k.axes_of(AxisType.GLOBAL, AxisType.LOOP) if k.rngs[axis].src[0].op is Ops.CONST]
to_local: list[tuple[int, int]] = []
for _, axis in sorted(local_axis_ranking, key=lambda x: (-x[0], -x[1])):
local_size = prod(sz for _, sz in to_local)
local_sz: int|None = next((x for x in ([32] * (axis == 0) + [16,8,4,3,2]) if k.full_shape[axis] % x == 0 and local_size * x <= 128), None)
if local_sz is not None: to_local.append((axis, local_sz))
deleted_shape = 0
for axis, local_sz in sorted(to_local[:3]):
axis = axis - deleted_shape
will_delete_shape = local_sz == k.full_shape[axis]
k.apply_opt(Opt(OptOps.LOCAL, axis, local_sz))
if will_delete_shape: deleted_shape += 1
# **** threading ****
if k.ren.has_threads and k.ren.global_max is not None:
for threads in [32,16,12,8,6,5,4,3,2]:
# Skip if too many threads. Heuristic: use about 128K ops per thread
if threads > k.ren.global_max[0] or resolve(prod(k.full_shape) // (128 << 10) < threads): continue
for axis in k.axes_of(AxisType.LOOP):
if k.full_shape[axis] % threads == 0:
try: k.apply_opt(Opt(OptOps.THREAD, axis, threads))
except KernelOptError: pass
break
if k.applied_opts and k.applied_opts[-1].op is OptOps.THREAD: break
return k
@@ -0,0 +1,352 @@
from __future__ import annotations
import math, itertools
from collections import defaultdict
from typing import cast, Final
from tinygrad.uop.ops import Ops, UOp, KernelInfo, graph_rewrite, AxisType, ssimplify, GroupOp, remove_all_tags
from tinygrad.uop.ops import axis_letters, axis_colors, axis_to_pos
from tinygrad.device import Buffer
from tinygrad.dtype import dtypes
from tinygrad.helpers import colored, getenv, DEBUG, to_function_name, NOOPT, argsort, round_up, prod, merge_dicts, get_single_element, flatten
from tinygrad.helpers import ALLOW_TF32, count, Context
from tinygrad.codegen.opt import Opt, OptOps, KernelOptError, check
from tinygrad.codegen.simplify import pm_flatten_range
from tinygrad.renderer import Renderer
class Scheduler:
def __init__(self, ast:UOp, ren:Renderer):
self.ast, self.ren = ast, ren
self.dont_use_locals = self.ast.arg.dont_use_locals if self.ast.arg is not None else False
self.applied_opts = list(self.ast.arg.applied_opts) if self.ast.arg is not None else []
self.opt_range = count(start=max([x.arg[0] for x in self.rngs], default=0)+1)
@property
def rngs(self):
# always in order by axistype
return sorted([u for u in self.ast.backward_slice if u.op is Ops.RANGE and u.vmax > 0], key=lambda x: (axis_to_pos[x.arg[-1]],) + x.arg[0:-1])
@property
def shape_len(self) -> int: return len(self.rngs)
@property
def full_shape(self): return [ssimplify(x.src[0]) for x in self.rngs]
@property
def axis_types(self) -> list[AxisType]: return [x.arg[-1] for x in self.rngs]
# strings like ['g0', 'g1', 'l0', 'l1', 'l2', 'l3', 'l4', 'l5', 'R0', 'r0', 'r1', 'r2', 'u0', 'u1', 'u2']
def shape_str(self) -> list[str]:
ret: list[str] = []
cnt: dict[AxisType, int] = {}
for x in self.axis_types:
cnt[x] = (cnt[x] + 1) if x in cnt else 0
ret.append(f"{axis_letters[x]}{cnt[x]}")
return ret
def shape_str_to_axis(self, nms:list[str]) -> tuple[int, ...]: return tuple([self.shape_str().index(x) for x in nms])
def copy(self) -> Scheduler:
ret = Scheduler(self.ast, self.ren)
ret.dont_use_locals = self.dont_use_locals
ret.applied_opts = self.applied_opts[:]
if hasattr(self, 'tensor_core'): ret.tensor_core = self.tensor_core
return ret
kernel_cnt: Final[defaultdict[str, int]] = defaultdict(int)
def get_optimized_ast(self, name_override:str|None=None) -> UOp:
if name_override is not None: name = name_override
else:
k_type = "r" if self.reduceop is not None else "E"
special_uops = sorted([x for x in self.ast.toposort() if x.op is Ops.SPECIAL], key=lambda x: x.arg)
special_ops = [colored(str(x.vmax+1), "blue" if x.arg[0] == "g" else "cyan") for x in special_uops]
name = k_type + colored('_', 'BLACK').join(['']+special_ops+[colored(x.src[0].render(), color) for x,color in zip(self.rngs, self.colors())])
Scheduler.kernel_cnt[(function_name := to_function_name(name))] += 1
num = f"n{Scheduler.kernel_cnt[function_name]-1}" if Scheduler.kernel_cnt[function_name] > 1 else ""
name += colored(num, 'BLACK')
self.ast = graph_rewrite(self.ast, pm_flatten_range, name="flatten range")
return self.ast.replace(arg=KernelInfo(name=name, applied_opts=tuple(self.applied_opts), dont_use_locals=self.dont_use_locals), tag=1)
def _output_rngs(self) -> list[UOp]:
return flatten([[r for r in UOp.sink(*s.src[1:]).ranges if r.arg[-1] != AxisType.REDUCE] for s in self.ast.src if s.op is Ops.END])
def _globalizable_rngs(self) -> list[UOp]:
ret = [r for r in self._output_rngs() if r.arg[-1] == AxisType.LOOP]
# exclude any output ranges from global that don't appear in all BUFFERIZE
for x in self.ast.toposort():
if x.op is Ops.STAGE:
ret = [r for r in ret if r in x.ranges]
return ret
def convert_loop_to_global(self) -> None:
if not self.ren.has_local: return
globalizible_rngs = self._globalizable_rngs()
rng = [x.replace(arg=x.arg[0:-1]+(AxisType.GLOBAL,)) if x in globalizible_rngs else x for x in self.rngs]
self.ast = self.ast.substitute(dict(zip(self.rngs, rng)))
def colors(self) -> list[str]:
output_rngs = self._output_rngs()
globalizible_rngs = self._globalizable_rngs()
ret = []
for x,r in zip(self.axis_types, self.rngs):
if self.dont_use_locals and x == AxisType.GLOBAL: ret.append("BLUE")
elif r not in output_rngs and x == AxisType.LOOP: ret.append("BLACK")
elif r not in globalizible_rngs and x == AxisType.LOOP: ret.append("white")
else: ret.append(axis_colors[x])
return ret
def colored_shape(self) -> str: return ' '.join([colored(f'{x.src[0].render():>4s}', color) for x,color in zip(self.rngs, self.colors())])
def shift_to(self, rng:UOp, amount:int, new_type:AxisType, top:bool=False, input_new_rng:UOp|None=None):
if (old_sz:=rng.src[0].divides(amount)) is None:
raise KernelOptError(f"{amount} can't divide {rng.src[0]} in {self.colored_shape()}")
new_rng = UOp.range(amount, next(self.opt_range), new_type) if input_new_rng is None else input_new_rng
replaced_rng = rng.replace(src=(UOp.const(dtypes.int, old_sz),))
sub_axis = (new_rng * old_sz + replaced_rng) if top else (replaced_rng * amount + new_rng)
self.ast = self.ast.substitute({rng:sub_axis}, name=f"shift {rng.arg[:-1]} {amount} {str(new_type).split('.')[1].lower()}")
return replaced_rng, new_rng
def ranges_of(self, *axis_type:AxisType) -> list[UOp]: return [r for r in self.rngs if r.arg[-1] in axis_type]
def axes_of(self, *axis_type:AxisType) -> list[int]: return [i for i,t in enumerate(self.axis_types) if t in axis_type]
def upcast_size(self): return prod(self.full_shape[a] for a in self.axes_of(AxisType.UPCAST, AxisType.UNROLL))
# copied from kernel.py
@property
def upcastable_dims(self) -> list[int]: return [i for i in self.axes_of(AxisType.GLOBAL, AxisType.LOCAL, AxisType.LOOP) \
if isinstance(s:=self.full_shape[i], int) and s > 1]
@property
def unrollable_dims(self) -> list[int]: return [i for i in self.axes_of(AxisType.GROUP_REDUCE, AxisType.REDUCE) \
if isinstance(s:=self.full_shape[i], int) and s > 1]
def real_axis(self, op:OptOps, axis:int|None) -> int:
try:
if axis is None or op is OptOps.TC: return -1
if op is OptOps.UNROLL: return self.unrollable_dims[axis]
if op in {OptOps.GROUP, OptOps.GROUPTOP}: return self.axes_of(AxisType.REDUCE)[axis]
check(axis < self.shape_len, f"invalid axis on {axis=} {op=} {self.shape_len=}")
return axis
except IndexError as e: raise KernelOptError from e
def apply_opt(self, opt:Opt, append_opt:bool=True):
if opt.op is OptOps.NOLOCALS:
check(all(x not in {AxisType.WARP, AxisType.LOCAL, AxisType.GROUP_REDUCE} for x in self.axis_types), "no locals can't have locals")
if append_opt: self.applied_opts.append(opt)
self.dont_use_locals = True
return
if opt.op in {OptOps.LOCAL, OptOps.GROUP, OptOps.GROUPTOP}:
check(self.ren.has_local, "locals needed for opt")
rng = self.rngs[real_axis] if (real_axis:=self.real_axis(opt.op, opt.axis)) >= 0 else UOp(Ops.NOOP)
opt_to_at = {
OptOps.LOCAL: AxisType.LOCAL, OptOps.UPCAST: AxisType.UPCAST,
OptOps.UNROLL: AxisType.UNROLL, OptOps.GROUP: AxisType.GROUP_REDUCE,
OptOps.GROUPTOP: AxisType.GROUP_REDUCE, OptOps.THREAD: AxisType.THREAD}
ret = None
if opt.op in opt_to_at:
amt:int = int(rng.vmax+1) if opt.arg == 0 else cast(int, opt.arg)
# copied from kernel.py. prevents METAL compiler hangs
if self.reduceop is not None and (opt.op in {OptOps.GROUP, OptOps.GROUPTOP} or \
(self.group_for_reduces and opt.op not in {OptOps.NOLOCALS, OptOps.PADTO})):
upcast_local_sz = prod([self.full_shape[a] for a in self.axes_of(AxisType.UPCAST, AxisType.WARP, AxisType.LOCAL, AxisType.GROUP_REDUCE)])
smem_sz = amt*upcast_local_sz*self.reduceop.dtype.itemsize
check(smem_sz <= self.ren.shared_max, f"exceeds maximum shared memory size: needs {smem_sz}, max {self.ren.shared_max}")
if self.reduceop is not None and (opt.op in {OptOps.GROUP, OptOps.GROUPTOP}):
# We currently dont support a group within another rudece, TODO: fix if-contexts
reduce = [u for u in self.ast.backward_slice if u.op is Ops.REDUCE and rng in merge_dicts([r.ranges for r in u.src[1:]])][0]
check(not any(u.arg[-1] in (AxisType.REDUCE, AxisType.UNROLL, AxisType.GROUP_REDUCE) for u in reduce.ranges),
"cannot have a GROUP_REDUCE inside another reduce")
if opt.op is OptOps.UNROLL:
check(amt <= 32, "don't unroll more than 32")
check(rng.arg[-1] in {AxisType.GROUP_REDUCE, AxisType.REDUCE}, "unroll is for GROUP_REDUCE/REDUCE")
if opt.op is OptOps.UPCAST:
check((self.ren is not None and self.ren.target.device == "DSP") or amt <= 16, "don't upcast more than 16")
check(rng.arg[-1] in {AxisType.GLOBAL, AxisType.LOCAL, AxisType.LOOP}, f"upcast is for GLOBAL/LOCAL/LOOP, not {rng.arg[-1]}")
if opt.op is OptOps.LOCAL:
check(not self.dont_use_locals, "can't use locals")
check(rng.arg[-1] in {AxisType.GLOBAL, AxisType.LOOP}, "local is for globals")
if opt.op is OptOps.THREAD:
check(self.ren is not None and self.ren.has_threads, "target does not support threads")
check(self.ren is not None and self.ren.global_max is not None and amt <= self.ren.global_max[0], "too many threads")
check(all(x is not AxisType.THREAD for x in self.axis_types), "already threaded")
check(rng in self._globalizable_rngs(), "can't apply range to this dim")
if opt.op in {OptOps.GROUP, OptOps.GROUPTOP}:
check(all(x.op is not OptOps.TC for x in self.applied_opts), "no grouping with tensor cores") # TODO: why is this wrong?
check(not self.dont_use_locals, "can't use locals")
check(rng.arg[-1] == AxisType.REDUCE, "group is for reduce")
ret = self.shift_to(rng, amt, opt_to_at[opt.op], top=opt.op in {OptOps.GROUPTOP, OptOps.THREAD})
elif opt.op is OptOps.TC:
check(len(self.applied_opts) == 0, "tensor core opts must be first") # TODO: remove the need for this by having warps
check(opt.axis is not None, "tensor core opts must have an axis")
check(opt.arg is not None and isinstance(opt.arg, tuple) and len(opt.arg) == 3, "tensor core opts must have valid arg")
check(-1 <= (tc_select:=cast(tuple, opt.arg)[0]) < len(self.ren.tensor_cores), "tensor core opts must have valid tc_select")
check(0 <= (tc_opt:=cast(tuple, opt.arg)[1]) <= 2, "tensor core opts must have valid tc_opt")
check(0 < (use_tensor_cores:=cast(tuple, opt.arg)[2]) <= 2, "use_tensor_cores value is not valid")
try: ret = self._apply_tc_opt(use_tensor_cores, cast(int, opt.axis), tc_select, tc_opt)
except ValueError as e: raise KernelOptError(str(e))
check(ret is not None, "no tensor core available")
elif opt.op is OptOps.PADTO:
check(rng.src[0].op is Ops.CONST, "only pad const axes")
check(rng.arg[-1] not in {AxisType.UPCAST, AxisType.UNROLL}, "cannot pad upcasted") # TODO: why is this wrong?
check(rng.arg[-1] is not AxisType.THREAD, "cannot pad thread")
# ok to pad SUM if all parent ALU ops have f(0) = 0
if (r:=self.reduceop) is not None and rng.arg[-1] in (AxisType.GROUP_REDUCE, AxisType.REDUCE):
check(r.arg[0] is Ops.ADD and not r.op_in_backward_slice_with_self(*GroupOp.UnsafePad), f"cannot pad {r}")
new_sz = round_up(int(rng.vmax+1), cast(int, opt.arg))
check(rng.vmax+1 > new_sz//4, "pad adds more than quadruple the work")
replaced_rng = UOp.range(new_sz, *rng.arg)
replaces = {rng:replaced_rng}
valid = replaced_rng < rng.vmax+1
for b in self.bufs:
if rng in (i:=b.src[1].get_idx()).backward_slice_with_self:
replaces[b] = b.replace(src=(b.src[0],(valid&b.src[1].get_valid()).where(i, UOp.invalid())))
self.ast = self.ast.substitute(replaces, f"padto {rng.arg[:-1]} {opt.arg}")
elif opt.op is OptOps.SWAP:
try:
altrng:UOp = self.rngs[opt.arg]
except IndexError:
raise KernelOptError
check(rng.arg[-1] == AxisType.GLOBAL and altrng.arg[-1] == AxisType.GLOBAL, "swap only for globals")
self.ast = self.ast.substitute({rng:rng.replace(arg=(*altrng.arg[0:-1], rng.arg[-1]), tag=1),
altrng:altrng.replace(arg=(*rng.arg[0:-1], altrng.arg[-1]), tag=1)},
name=f"swap {rng.arg[:-1]} {altrng.arg[:-1]}")
self.ast = graph_rewrite(self.ast, remove_all_tags, name="swap remove tags")
else:
raise KernelOptError(f"unsupported opt {opt.op}")
if append_opt: self.applied_opts.append(opt)
return ret
def _apply_tc_opt(self, use_tensor_cores:int, axis:int, tc_select:int, opt_level:int) -> None|list[UOp]:
if not (reduceops := self.reduceops): raise KernelOptError("no reduce ops for TensorCore")
reduceop = reduceops[0]
if use_tensor_cores and reduceop.arg[0] is Ops.ADD:
mul = reduceop.src[0] if reduceop.src[0].op is not Ops.CAST else reduceop.src[0].src[0]
if mul.op is not Ops.MUL: return None
in0, in1 = mul.src
try:
tensor_cores = self.ren.tensor_cores if tc_select == -1 else [self.ren.tensor_cores[tc_select]]
except IndexError:
raise KernelOptError(f"invalid tensor core choice {tc_select}")
for tc in tensor_cores:
if self.ren.target.device in ("CUDA", "NV") and tc.dtype_in == dtypes.float and not ALLOW_TF32: continue
if tc.dtype_in == in0.dtype.scalar() and tc.dtype_in == in1.dtype.scalar() and tc.dtype_out == reduceop.dtype.scalar():
# tensor cores have three ranges. X, Y, and REDUCE
in0_ranges = sorted([u for u in in0.ranges if u not in in1.ranges], key=lambda x: x.arg[0], reverse=True)
in1_ranges = sorted([u for u in in1.ranges if u not in in0.ranges], key=lambda x: x.arg[0], reverse=True)
red_ranges = sorted(reduceop.src[1:], key=lambda x: x.arg[0], reverse=True)
if DEBUG >= 3:
print(f"TC({axis}): {[(x.arg[0],x.vmax+1) for x in in0_ranges]}",
f"{[(x.arg[0],x.vmax+1) for x in in1_ranges]} {[(x.arg[0],x.vmax+1) for x in red_ranges]}")
if not len(in0_ranges) or not len(in1_ranges) or not len(red_ranges): continue
# pick ranges
# NOTE: why are in1 and in0 switched?
axis_choices = list(itertools.product(in1_ranges, in0_ranges, red_ranges))
if not (axis < len(axis_choices)): continue
axes = list(axis_choices[axis])
# tag the reduceop
self.ast = self.ast.substitute({reduceop: reduceop.replace(tag="TC")})
# do optimizations and save the ranges
try:
for i,a in enumerate(axes):
idx = self.rngs.index(a)
if (a.vmax+1) % tc.dims[i] != 0:
if opt_level < 2: raise KernelOptError("tc padding requires opt_level >= 2")
# apply_opt should return the updated range?
self.apply_opt(Opt(OptOps.PADTO, idx, tc.dims[i]), append_opt=False) # PADTO might fail
axes[i] = self.rngs[idx]
except KernelOptError: continue
# we create the warp as a whole thing, in case some of these ranges are moved/removed later
warp = UOp.range(tc.threads, -1, AxisType.WARP)
ne: list[UOp] = []
for opt in tc.opts:
if opt[0] == "l":
axes[int(opt[1])], new_range = self.shift_to(axes[int(opt[1])], 2, AxisType.LOCAL, input_new_rng=warp%2)
warp //= 2
elif opt[0] == "u":
axes[int(opt[1])], new_range = self.shift_to(axes[int(opt[1])], 2, AxisType.UPCAST)
else: raise RuntimeError(f"unsupported opt {opt[0]} in tensor cores")
ne.append(new_range)
for _, amt in tc.get_reduce_axes():
axes[2], new_range = self.shift_to(axes[2], amt, AxisType.UNROLL)
ne.append(new_range)
if use_tensor_cores != 2:
# fix the srcs
reduceop = get_single_element([x for x in self.ast.toposort() if x.op is Ops.REDUCE and x.tag == "TC"])
tne = [x.replace(tag=1) for x in ne]
ret = reduceop.substitute(dict(zip(ne, tne)))
srcs = list((ret.src[0] if ret.src[0].op is not Ops.CAST else ret.src[0].src[0]).src)
srcs = [x.substitute(dict(zip(tne, [ne[i] for i in argsort(p)]))) for x,p in zip(srcs, tc.permutes_for_shape_str(tc.base_shape_str()))]
# get reduce/upcast axes for the tensor cores
tc_reduce_axes = self.shape_str_to_axis([f"r{i}" for i in range(len(tc.get_reduce_axes()))])
base_upcast_axes = tuple([(s,2) for s in self.shape_str_to_axis(tc.base_upcast_axes())])
tc_upcast_axes = tuple([base_upcast_axes[:int(math.log2(tc.elements_per_thread[i]))] for i in range(3)])
# axes to range number (was done in lowerer)
tc_upcast_axes = tuple([tuple([(self.rngs[a].arg[0], sz) for a,sz in v]) for v in tc_upcast_axes])
tc_reduce_axes = tuple([self.rngs[a].arg[0] for a in tc_reduce_axes])
# construct the op
# TODO: remove tc_upcast_axes from the arg
# do the reduce_axes always disappear? i think they don't
# they need to be moved into the WMMA srcs
wmma_arg = (str(tc), tc.dims, tc.dtype_in, tc.dtype_out, self.ren.target.device, tc.threads, tc_upcast_axes, ()) #, tc_reduce_axes)
wmma = UOp(Ops.WMMA, dtype=tc.dtype_out.vec(tc.elements_per_thread[2]), src=(
UOp(Ops.CONTRACT, dtype=srcs[0].dtype.vec(tc.elements_per_thread[0]), src=(srcs[0],), arg=tc_upcast_axes[0], tag=1),
UOp(Ops.CONTRACT, dtype=srcs[1].dtype.vec(tc.elements_per_thread[1]), src=(srcs[1],), arg=tc_upcast_axes[1], tag=1),
UOp.const(tc.dtype_out.vec(tc.elements_per_thread[2]), 0.0)), arg=wmma_arg, tag=1)
tc_uop = UOp(Ops.UNROLL, tc.dtype_out, (wmma,), arg=tc_upcast_axes[2], tag=1)
# preserve extra reduces
reduce_ranges = [x for x in UOp.sink(*reduceop.src[1:]).toposort() if x.op is Ops.RANGE and x.arg[0] not in tc_reduce_axes]
if len(reduce_ranges): tc_uop = UOp(Ops.REDUCE, tc_uop.dtype, (tc_uop,)+tuple(reduce_ranges), (Ops.ADD, ()))
self.ast = self.ast.substitute({reduceop: tc_uop})
self.tensor_core = tc
return axes
return None
# helpers for hand_coded_optimizations
@property
def reduceops(self) -> list[UOp]: return [x for x in self.ast.backward_slice if x.op is Ops.REDUCE]
@property
def reduceop(self) -> UOp|None:
if not (red := self.reduceops): return None
return UOp(Ops.REDUCE, red[0].dtype, red[0].src, red[0].arg)
@property
def bufs(self) -> list[UOp]: return [x for x in self.ast.toposort() if x.op is Ops.INDEX][::-1]
@property
def output_shape(self):
return [s if at not in {AxisType.REDUCE, AxisType.UNROLL, AxisType.GROUP_REDUCE} else 1 for s,at in zip(self.full_shape, self.axis_types)]
@property
def upcasted(self) -> int: return len(self.axes_of(AxisType.UPCAST, AxisType.UNROLL))
@property
def group_for_reduces(self) -> int: return len(self.axes_of(AxisType.GROUP_REDUCE))
def bufs_from_ast(ast:UOp, dname:str) -> list[Buffer]:
glbls = sorted([x for x in ast.backward_slice if x.op is Ops.PARAM], key=lambda x: x.arg)
return [Buffer(dname, x.ptrdtype.size, x.dtype.base) for x in glbls]
def apply_opts(ast:UOp, ren:Renderer, beam:int=0) -> UOp:
if ast.tag is not None: return ast
k = Scheduler(ast, ren)
k.convert_loop_to_global()
if ast.arg is not None and ast.arg.opts_to_apply is not None:
for opt in ast.arg.opts_to_apply: k.apply_opt(opt)
elif beam >= 1:
from tinygrad.codegen.opt.search import beam_search
rawbufs = bufs_from_ast(ast, ren.target.device)
# beam search may open devices
with Context(ALLOW_DEVICE_USAGE=1):
k = beam_search(k, rawbufs, beam, bool(getenv("BEAM_ESTIMATE", 1)))
elif not NOOPT and (ast.arg is None or ast.arg.applied_opts == ()):
from tinygrad.codegen.opt.heuristic import hand_coded_optimizations
# NOTE: hand_coded_optimizations doesn't support multiblock opts yet
if not any(u.op is Ops.STAGE for u in ast.backward_slice):
k = hand_coded_optimizations(k)
return k.get_optimized_ast(name_override=ast.arg.name if ast.arg is not None and ast.arg.name != "test" else None)
@@ -0,0 +1,187 @@
import math, time, multiprocessing, traceback, signal, atexit
from dataclasses import replace
from tinygrad.uop.ops import sym_infer, AxisType, UOp
from tinygrad.uop.render import pyrender
from tinygrad.device import Device, Buffer
from tinygrad.helpers import prod, flatten, DEBUG, CACHELEVEL, diskcache_get, diskcache_put, getenv, Context, colored, time_to_str
from tinygrad.helpers import IGNORE_BEAM_CACHE
from tinygrad.codegen.opt import Opt, OptOps, KernelOptError
from tinygrad.engine.realize import time_call
from tinygrad.codegen import to_program
from tinygrad.codegen.opt.postrange import Scheduler
actions = [Opt(op=OptOps.UPCAST, axis=axis, arg=amt) for amt in [0,2,3,4,5,7] for axis in range(8)]
actions += [Opt(op=OptOps.UNROLL, axis=axis, arg=amt) for amt in [0,4,7] for axis in range(5)]
actions += [Opt(op=OptOps.LOCAL, axis=axis, arg=amt) for amt in [2,3,4,8,13,16,29] for axis in range(6)]
actions += [Opt(op=OptOps.GROUPTOP, axis=axis, arg=amt) for amt in [13,16,28,29,32,49,64,256] for axis in range(3)]
actions += [Opt(op=OptOps.GROUP, axis=axis, arg=amt) for amt in [0,4,8,16] for axis in range(3)]
if getenv("BEAM_PADTO", 0): actions += [Opt(op=OptOps.PADTO, axis=axis, arg=amt) for amt in [32] for axis in range(7)]
actions += [Opt(op=OptOps.LOCAL, axis=0, arg=32), Opt(op=OptOps.LOCAL, axis=6, arg=2)]
actions += [Opt(op=OptOps.TC, axis=0, arg=(-1, 0, getenv("TC", 1)))]
# covers resnet kernels (3 global * 3 reduce)
actions += [Opt(op=OptOps.TC, axis=axis, arg=(-1, getenv("TC_OPT", 2), getenv("TC", 1))) for axis in range(9)]
actions += [Opt(op=OptOps.SWAP, axis=axis_0, arg=axis_1) for axis_0 in range(5) for axis_1 in range(axis_0+1, 5)]
actions += [Opt(op=OptOps.THREAD, axis=axis, arg=amt) for amt in [2,3,4,5,8,12,16,24,32,64] for axis in range(3)]
if getenv("NOLOCALS"): actions += [Opt(op=OptOps.NOLOCALS)]
def get_test_global_size(global_size, max_global_size, var_vals):
test_global_size = [sym_infer(sz, var_vals) for sz in global_size]
input_size = prod(test_global_size)
while prod(test_global_size) > max_global_size:
for j in range(len(global_size)-1,-1,-1):
if test_global_size[j] > 16:
test_global_size[j] //= 2
break
return test_global_size, input_size / prod(test_global_size)
def _time_program(prg:UOp, var_vals:dict[str, int], rawbufs:list[Buffer], early_stop:float|None=None,
allow_test_size:int=True, max_global_size:int|None=65536, clear_l2=False, cnt=3, name="test", dev_timeout=False) -> list[float]:
timeout = int(early_stop * 1e3) if dev_timeout and early_stop is not None and early_stop < math.inf else None
factor = 1
if allow_test_size and max_global_size is not None:
global_size, factor = get_test_global_size(prg.arg.global_size, max_global_size, var_vals)
prg = prg.replace(arg=replace(prg.arg, global_size=tuple(global_size)))
call = prg.call(*[UOp.from_buffer(b) for b in rawbufs])
tms = []
for _ in range(cnt):
try: tms.append(time_call(call, var_vals, timeout=timeout, clear_l2=clear_l2) * factor)
except AssertionError: return [math.inf] * cnt
if early_stop is not None and early_stop < min(tms): break
return tms
class TimeoutException(Exception): pass
def timeout_handler(signum, frame):
if DEBUG >= 2: print("*** BEAM COMPILE TIMEOUT")
raise TimeoutException()
def _try_compile(x:tuple[int,Scheduler]) -> tuple[int, tuple[UOp, float]|None]:
if hasattr(signal, "alarm"):
signal.signal(getattr(signal, 'SIGALRM'), timeout_handler)
# set timeout
signal.alarm(getenv("BEAM_TIMEOUT_SEC", 10))
ret = None
try:
st = time.perf_counter()
prg = to_program(x[1].copy().get_optimized_ast(name_override="test"), x[1].ren)
et = time.perf_counter() - st
uops = prg.src[2].src
if len(uops) >= (uops_max:=getenv("BEAM_UOPS_MAX", 3000)) > 0:
if getenv("BEAM_LOG_SURPASS_MAX"): print(f"too many uops. {len(uops)=}, {uops_max=}")
raise RuntimeError("too many uops")
ret = (prg, et)
except RuntimeError:
if DEBUG >= 4: traceback.print_exc()
except Exception as e:
if getenv("BEAM_STRICT_MODE"): raise e
finally:
if hasattr(signal, "alarm"): signal.alarm(0)
return x[0], ret
# workers should not open devices and should ignore ctrl c and should not launch VIZ
def _init_worker():
Context(ALLOW_DEVICE_USAGE=0, VIZ=0, TRACK_MATCH_STATS=0).__enter__()
signal.signal(signal.SIGINT, signal.SIG_IGN)
def _ensure_buffer_alloc(bufs:list[Buffer]) -> list[Buffer]: return [buf.ensure_allocated() if buf is not None else buf for buf in bufs]
# *** external API ***
# get dictionary of all possible actions
def get_kernel_actions(s:Scheduler, include_0=True, max_up:int|None=None) -> dict[int, Scheduler]:
acted, max_up, max_lcl = {0:s} if include_0 else {}, getenv("BEAM_UPCAST_MAX", 256) if max_up is None else max_up, getenv("BEAM_LOCAL_MAX", 1024)
kernel_actions = actions.copy()
for i,a in enumerate(kernel_actions):
if a.axis is not None and a.op is not OptOps.TC:
try: ax = s.real_axis(a.op, a.axis)
except KernelOptError: continue
if (ax >= s.shape_len) or (s.full_shape[ax] == a.arg and Opt(a.op, a.axis, 0) in kernel_actions): continue
s2 = s.copy()
try:
s2.apply_opt(a)
up, lcl, tc_up = 1, 1, prod(tc.dims)//tc.threads if hasattr(s2, 'tensor_core') and (tc:=s2.tensor_core) else 1
for x,t in zip(s2.full_shape, s2.axis_types):
if t in (AxisType.UPCAST, AxisType.UNROLL): up *= x
elif t in (AxisType.WARP, AxisType.LOCAL, AxisType.GROUP_REDUCE): lcl *= x
if up//tc_up > max_up or lcl > max_lcl:
if getenv("BEAM_LOG_SURPASS_MAX"): print(f"too many upcast/local. {up//tc_up=}, {max_up=}, {lcl=}, {max_lcl=}")
continue
acted[i+1] = s2
except KernelOptError: pass
return acted
beam_pool, BEAM_DEBUG = None, getenv("BEAM_DEBUG")
def beam_search(s:Scheduler, rawbufs:list[Buffer], amt:int, allow_test_size=True, disable_cache=IGNORE_BEAM_CACHE.value):
global beam_pool
key = {"ast": s.ast.key, "amt": amt, "allow_test_size": allow_test_size, "device": s.ren.target.device, "suffix": s.ren.suffix}
if not disable_cache and CACHELEVEL >= 1 and (val:=diskcache_get("beam_search", key)) is not None:
ret = s.copy()
for o in val[len(s.applied_opts):]: ret.apply_opt(o)
return ret
beam: list[tuple[Scheduler, float]] = [(s, float("inf"))]
seen_libs = set()
default_parallel = multiprocessing.cpu_count() if s.ren.target.device in {"CUDA", "AMD", "NV", "METAL", "HIP"} else 0
if beam_pool is None and (workers := getenv("PARALLEL", default_parallel)):
beam_pool = multiprocessing.get_context("spawn").Pool(workers, _init_worker, (), getenv("BEAM_MAX_TASKS_PER_CHILD", 16))
@atexit.register
def close_pool(): beam_pool.close()
min_progress = getenv("BEAM_MIN_PROGRESS", 0.01)/1e6
if BEAM_DEBUG:
print("BEAM_SEARCH:")
print(pyrender(s.ast.replace(arg=None)))
if DEBUG >= 2: print(f" 0.00s: from 1 -> 1 actions {s.colored_shape()}")
try:
rawbufs = _ensure_buffer_alloc(rawbufs)
var_vals: dict[str, int] = {k.expr:int(k.vmax+k.vmin)//2 for k in s.ast.variables()}
exiting, st = False, time.perf_counter()
dev = Device[s.ren.target.device]
while not exiting:
candidates: list[Scheduler] = flatten([get_kernel_actions(si, include_0=False).values() for si,_ in beam])
timed: list[tuple[Scheduler, float]] = []
least_compute_ops = math.inf
for i, proc in ((map if beam_pool is None else beam_pool.imap_unordered)(_try_compile, enumerate(candidates))):
if proc is None: continue
prg, compile_et = proc
if (lib:=prg.src[4].arg) in seen_libs: continue
# filter out kernels that use 1000x more compute than the smallest
estimates = prg.src[0].arg.estimates
least_compute_ops = min(this_compute_ops:=sym_infer(estimates.ops if estimates is not None else 0, var_vals), least_compute_ops)
if least_compute_ops*1000 < this_compute_ops:
if getenv("BEAM_LOG_SURPASS_MAX"): print(f"too much compute. {this_compute_ops} when least is {least_compute_ops}")
continue
seen_libs.add(lib)
try: tms = _time_program(prg, var_vals, rawbufs, early_stop=beam[0][1]*3 if len(beam) else 1.0,
allow_test_size=allow_test_size, clear_l2=hasattr(dev, 'invalidate_caches'),
dev_timeout=getenv("BEAM_DEV_TIMEOUT", 1))
except Exception as e:
if BEAM_DEBUG: print(f"BEAM failed for opts: {candidates[i].applied_opts}\n{e}")
if isinstance(e, RuntimeError): continue
raise
timed.append((candidates[i], min(tms)))
if BEAM_DEBUG > 1:
print(f"{time.perf_counter() - st:7.2f}s: {i:5d} {len(prg.src[2].src):5d} uops",
f"{time_to_str(compile_et, w=12)} compile/{time_to_str(timed[-1][1], w=12)} run",
f" {len(timed):4d}/{len(candidates):4d} {timed[-1][0].colored_shape()}")
elif DEBUG >= 2:
print(f"\r{time.perf_counter() - st:7.2f}s: {time_to_str(timed[-1][1], w=12)}",
f" {len(timed):4d}/{len(candidates):4d} {timed[-1][0].colored_shape()}\033[K", end="")
# done
opts = sorted(timed, key=lambda x: x[1])
exiting = len(opts) == 0 or (opts[0][1] < min_progress) or (len(beam) > 0 and ((beam[0][1]-opts[0][1]) < min_progress))
if not exiting: beam = opts[:amt]
elif len(opts) > 0 and opts[0][1] < beam[0][1]: beam = opts[:1]
if DEBUG >= 2:
print(f"\r{time.perf_counter() - st:7.2f}s:", colored(time_to_str(beam[0][1], w=12), "green" if exiting else None),
f"from {len(candidates):3d} -> {len(opts):3d} actions\033[K", beam[0][0].colored_shape())
except KeyboardInterrupt as e:
if beam_pool is not None: beam_pool.terminate()
raise e
if CACHELEVEL >= 1: diskcache_put("beam_search", key, beam[0][0].applied_opts)
if BEAM_DEBUG: print(f"BEAM_SEARCH: final tm={time_to_str(beam[0][1], w=0)}, applied_opts={beam[0][0].applied_opts}")
return beam[0][0]
+159
View File
@@ -0,0 +1,159 @@
import math, functools
from dataclasses import dataclass
from tinygrad.dtype import DType, dtypes
@dataclass(frozen=True)
class TensorCore: # D = A * B + C, A is (M x K), B is (K x N), C and D are (M x N)
dims: tuple[int,int,int] # N, M, K
threads: int # number of threads that construct the warp
elements_per_thread: tuple[int, int, int] # elements per-thread to load/store from A/B/C
dtype_in: DType # dtype for A and B
dtype_out: DType # dtype for C and D
opts: tuple[str, ...] # ordered tuple of "ux" or "lx" specifying kernel opts to perform. "ux" upcasts dim x and "lx" localizes dim x
# (local_swizzle, upcast_swizzle, reduce_swizzle)
# l<num> is the num axis of the locals, similar for u<num> and upcasts, r<num> and reduces
swizzle: tuple[tuple[tuple[str, ...], tuple[str, ...], tuple[str, ...]], tuple[tuple[str, ...], tuple[str, ...], tuple[str, ...]]]
@functools.cache # pylint: disable=method-cache-max-size-none
def _remaps(self) -> list[dict[str, str]]:
local_axes, upcast_axes, reduce_axes = len(self.get_local_axes()), len(self.get_upcast_axes()), len(self.get_reduce_axes())
fwd_st = [f"l{i}" for i in range(local_axes)] + [f"u{i}" for i in range(upcast_axes)] + [f"r{i}" for i in range(reduce_axes)]
return [dict(zip(fwd_st, sum(s, ()))) for s in self.swizzle]
def permutes_for_shape_str(self, shape_str:list[str]) -> tuple[tuple[int, ...], tuple[int, ...]]:
ret = [[shape_str.index(remap[ss]) if ss in remap else i for i,ss in enumerate(shape_str)] for remap in self._remaps()]
return tuple(ret[0]), tuple(ret[1])
@functools.cache # pylint: disable=method-cache-max-size-none
def base_shape_str(self) -> list[str]:
ret = []
cnt = {'u': 0, 'l': 0}
for opt in self.opts:
ret.append(f"{opt[0]}{cnt[opt[0]]}")
cnt[opt[0]] += 1
# assumes you do the UNROLL after the opts
return ret + [f"r{i}" for i in range(len(self.get_reduce_axes()))]
def get_reduce_axes(self): return [(i, 2) for i in range(int(math.log2(self.dims[2])))]
def get_upcast_axes(self): return [opt for opt in self.opts if opt[0] == "u"]
def get_local_axes(self): return [opt for opt in self.opts if opt[0] == "l"]
def base_upcast_axes(self):
# this is defined in the swizzle. first we use the upcast axes, then the reduce
return ([f"r{i}" for i in range(len(self.get_reduce_axes()))] + [f"u{i}" for i in range(len(self.get_upcast_axes()))])[::-1]
def __str__(self): return "_".join(["WMMA"] + list(map(str, self.dims)) + [self.dtype_in.name, self.dtype_out.name])
def __post_init__(self):
# all axes have size 2, <local> <reduce> <upcast> is the order
local_axes, upcast_axes, reduce_axes = len(self.get_local_axes()), len(self.get_upcast_axes()), len(self.get_reduce_axes())
assert self.dims[0] * self.dims[1] == 2**(local_axes + upcast_axes), \
f"N({self.dims[0]}) x M({self.dims[1]}) != local({2**local_axes}) x upcast({2**upcast_axes}) with opts({self.opts})"
assert 2**local_axes == self.threads, f"{self.threads} threads construct the warp but found {2**local_axes} in {self.opts}"
assert 2**upcast_axes == self.elements_per_thread[2], \
f"{self.elements_per_thread[2]} elements from C are processed per thread but found {2**upcast_axes} in {self.opts}"
# check dims match opts
assert self.dims[0] == 2**len(gd:=[x for x in self.opts if x[1] == '0']), f"opts wrong on dims[0], {self.dims[0]} vs {gd}"
assert self.dims[1] == 2**len(gd:=[x for x in self.opts if x[1] == '1']), f"opts wrong on dims[1], {self.dims[1]} vs {gd}"
# NOTE: the K opts is implictly set by the dim
# check swizzle
assert len(self.swizzle[0]) == 3 and len(self.swizzle[1]) == 3, "swizzle has wrong part count"
assert len(self.swizzle[0][0]) == len(self.swizzle[1][0]) == local_axes, "local swizzle size is wrong"
assert len(self.swizzle[0][1]) == len(self.swizzle[1][1]) == upcast_axes, "upcast swizzle size is wrong"
assert len(self.swizzle[0][2]) == len(self.swizzle[1][2]) == reduce_axes, "reduce swizzle size is wrong"
assert all(len(s) == local_axes+upcast_axes+reduce_axes for s in self._remaps()), "remaps are the wrong size"
# check elements_per_thread
un, ln = 0, 0
zero_stride_0 = []
zero_stride_1 = []
for o in self.opts:
if o[1] == '0': zero_stride_0.append(o[0] + str(un if o[0] == 'u' else ln))
if o[1] == '1': zero_stride_1.append(o[0] + str(un if o[0] == 'u' else ln))
if o[0] == 'u': un += 1
if o[0] == 'l': ln += 1
# NOTE: all the zero_stride dims can be placed in any order in the swizzle
upcasted_0 = [x for x in (self.swizzle[0][1] + self.swizzle[0][2]) if x not in zero_stride_0 and x[0] != 'l']
upcasted_1 = [x for x in (self.swizzle[1][1] + self.swizzle[1][2]) if x not in zero_stride_1 and x[0] != 'l']
assert 2**len(upcasted_0) == self.elements_per_thread[0], f"mismatch in elements_per_thread[0], {upcasted_0} vs {self.elements_per_thread[0]}"
assert 2**len(upcasted_1) == self.elements_per_thread[1], f"mismatch in elements_per_thread[1], {upcasted_1} vs {self.elements_per_thread[1]}"
# ***** NVIDIA *****
cuda_tc_opts = ("u0","l0","l0","l1","l1","l1","u1") # shared by all shapes with M=16 N=8
# https://docs.nvidia.com/cuda/parallel-thread-execution/#warp-level-matrix-multiply-accumulate-instructions
cuda_81616 = [TensorCore(dims=(8,16,16), threads=32, elements_per_thread=(8,4,4), dtype_in=di, dtype_out=do, opts=cuda_tc_opts,
swizzle=((('r1', 'r2', 'l2', 'l3', 'l4'), ('u1', 'r3'), ('l0', 'l1', 'u0', 'r0')),
(('r1', 'r2', 'u0', 'l0', 'l1'), ('r0', 'r3'), ('l2', 'l3', 'l4', 'u1'))))
for di,do in [(dtypes.half,dtypes.float), (dtypes.bfloat16,dtypes.float), (dtypes.half,dtypes.half)]]
cuda_81632_f8 = [TensorCore(dims=(8,16,32), threads=32, elements_per_thread=(16,8,4), dtype_in=di, dtype_out=do, opts=cuda_tc_opts,
swizzle=((('r2', 'r3', 'l2', 'l3', 'l4'), ('u1', 'r4'), ('l0', 'l1', 'u0', 'r0', 'r1')),
(('r2', 'r3', 'u0', 'l0', 'l1'), ('r1', 'r4'), ('l2', 'l3', 'l4', 'u1', 'r0'))))
for di,do in [(dtypes.fp8e4m3,dtypes.float),(dtypes.fp8e5m2,dtypes.float)]]
cuda_8168_f16 = [TensorCore(dims=(8,16,8), threads=32, elements_per_thread=(4,2,4), dtype_in=di, dtype_out=do, opts=cuda_tc_opts,
swizzle=((('r1', 'r2', 'l2', 'l3', 'l4'), ('r0', 'u1'), ('l0', 'l1', 'u0')),
(('r1', 'r2', 'u0', 'l0', 'l1'), ('u1', 'r0'), ('l2', 'l3', 'l4'))))
for di,do in [(dtypes.half,dtypes.float), (dtypes.half,dtypes.half)]]
cuda_8168_tf32 = [TensorCore(dims=(8,16,8), threads=32, elements_per_thread=(4,2,4), dtype_in=dtypes.float, dtype_out=dtypes.float, opts=cuda_tc_opts,
swizzle=((('r0', 'r1', 'l2', 'l3', 'l4'), ('u1', 'r2'), ('l0', 'l1', 'u0')),
(('r0', 'r1', 'u0', 'l0', 'l1'), ('u1', 'r2'), ('l2', 'l3', 'l4'))))]
cuda_sm75: list[TensorCore] = cuda_8168_f16
cuda_sm80: list[TensorCore] = cuda_81616 + cuda_8168_f16 + cuda_8168_tf32
cuda_sm89: list[TensorCore] = cuda_sm80 + cuda_81632_f8
def get_cuda(arch): return cuda_sm89 if (ver:=int(arch[3:])) >= 89 else cuda_sm80 if ver >= 80 else cuda_sm75 if ver >= 75 else []
# ***** AMD *****
# https://gpuopen.com/learn/wmma_on_rdna3/
amd_rdna3 = [TensorCore(dims=(16,16,16), threads=32, elements_per_thread=(16,16,8), dtype_in=di, dtype_out=do,
opts=("l0","l0","l0","l0","l1","u1","u1","u1"),
swizzle=((('l4', 'u0', 'u1', 'u2', 'l0'), ('r1', 'r2', 'r3'), ('l1', 'l2', 'l3', 'r0')),
(('l0', 'l1', 'l2', 'l3', 'l4'), ('r1', 'r2', 'r3'), ('u0', 'u1', 'u2', 'r0'))))
for di,do in [(dtypes.half,dtypes.float),(dtypes.half,dtypes.half),(dtypes.bfloat16,dtypes.float)]]
amd_rdna4 = [TensorCore(dims=(16,16,16), threads=32, elements_per_thread=(8,8,8), dtype_in=di, dtype_out=do,
opts=("l0","l0","l0","l0","u1","u1","u1","l1"),
swizzle=((('u0', 'u1', 'u2', 'l4', 'r2'), ('r0', 'r1', 'r3'), ('l0', 'l1', 'l2', 'l3')),
(('l0', 'l1', 'l2', 'l3', 'r2'), ('r0', 'r1', 'r3'), ('l4', 'u0', 'u1', 'u2'))))
for di,do in [(dtypes.half,dtypes.float),(dtypes.half,dtypes.half),(dtypes.bfloat16,dtypes.float),(dtypes.bfloat16,dtypes.bfloat16)]]
# https://gpuopen.com/learn/amd-lab-notes/amd-lab-notes-matrix-cores-readme
amd_cdna_161616 = [TensorCore(dims=(16,16,16), threads=64, elements_per_thread=(4,4,4), dtype_in=di, dtype_out=do,
opts=("l0","l0","l0","l0","u1","u1","l1","l1"),
swizzle=((('u0', 'u1', 'l4', 'l5', 'r2', 'r3'), ('r0', 'r1'), ('l0', 'l1', 'l2', 'l3')),
(('l0', 'l1', 'l2', 'l3', 'r2', 'r3'), ('r0', 'r1'), ('l4', 'l5', 'u0', 'u1'))))
for di,do in [(dtypes.half,dtypes.float),(dtypes.bfloat16,dtypes.float)]]
amd_cdna_161632 = [TensorCore(dims=(16,16,32), threads=64, elements_per_thread=(8,8,4), dtype_in=di, dtype_out=do,
opts=("l0","l0","l0","l0","u1","u1","l1","l1"),
swizzle=((('u0', 'u1', 'l4', 'l5', 'r3', 'r4'), ('r0', 'r1'), ('l0', 'l1', 'l2', 'l3', 'r2')),
(('l0', 'l1', 'l2', 'l3', 'r3', 'r4'), ('r0', 'r1'), ('l4', 'l5', 'u0', 'u1', 'r2'))))
for di,do in [(dtypes.fp8e5m2,dtypes.float),(dtypes.fp8e4m3,dtypes.float),(dtypes.half,dtypes.float),(dtypes.bfloat16,dtypes.float)]]
amd_cdna_1616128 = [TensorCore(dims=(16,16,128), threads=64, elements_per_thread=(32,32,4), dtype_in=di, dtype_out=do,
opts=("l0","l0","l0","l0","u1","u1","l1","l1"),
swizzle=((('u0', 'u1', 'l4', 'l5', 'r5', 'r6'), ('r0', 'r1'), ('l0', 'l1', 'l2', 'l3', 'r2', 'r3', 'r4')),
(('l0', 'l1', 'l2', 'l3', 'r5', 'r6'), ('r0', 'r1'), ('l4', 'l5', 'u0', 'u1', 'r2', 'r3', 'r4'))))
for di,do in [(dtypes.fp8e5m2,dtypes.float),(dtypes.fp8e4m3,dtypes.float)]]
amd_cdna3 = amd_cdna_161632[:2] + amd_cdna_161616
amd_cdna4 = amd_cdna_1616128 + amd_cdna_161632 + amd_cdna_161616
def get_amd(arch): return {"gfx942": amd_cdna3, "gfx950": amd_cdna4, "gfx1200": amd_rdna4, "gfx1201": amd_rdna4}.get(arch, amd_rdna3)
# ***** Apple Metal *****
metal = [TensorCore(dims=(8,8,8), threads=32, elements_per_thread=(2,2,2), dtype_in=di, dtype_out=do,
opts=("u0","l0","l1","l1","l0","l1"),
swizzle=((('r1', 'l1', 'l2', 'r2', 'l4'), ('r0',), ('u0', 'l0', 'l3')),
(('l0', 'r0', 'r1', 'l3', 'r2'), ('u0',), ('l1', 'l2', 'l4'))))
for di,do in [(dtypes.float,dtypes.float),(dtypes.half,dtypes.float),
(dtypes.half,dtypes.half),(dtypes.bfloat16,dtypes.float),(dtypes.bfloat16,dtypes.bfloat16)]]
# ***** Apple AMX *****
amx = [TensorCore(dims=(sz,sz,1), threads=1, elements_per_thread=(sz,sz,sz*sz), dtype_in=dt, dtype_out=dt,
swizzle=(((), ('u0', 'u1', 'u2', 'u3', 'u4', 'u5', 'u6', 'u7'), ()),
((), ('u4', 'u5', 'u6', 'u7', 'u0', 'u1', 'u2', 'u3'), ())),
opts=("u0","u0","u0","u0","u1","u1","u1","u1")) for dt,sz in [(dt, 64 // dt.itemsize) for dt in [dtypes.float]]]
# ***** Intel ****
intel = [TensorCore(dims=(8,8,16), threads=8, elements_per_thread=(16,16,8), dtype_in=dtypes.half, dtype_out=dtypes.float,
opts=("l0","l0","l0","u1","u1","u1"),
swizzle=((('r1', 'r2', 'r3'), ('u0', 'u1', 'u2'), ('l0', 'l1', 'l2', 'r0')),
(('l0', 'l1', 'l2'), ('r1', 'r2', 'r3'), ('u0', 'u1', 'u2', 'r0'))))]
+157
View File
@@ -0,0 +1,157 @@
import itertools
from typing import Callable
from tinygrad.uop.ops import UOp, PatternMatcher, UPat, Ops, graph_rewrite, _substitute, range_start, AxisType
from tinygrad.uop.symbolic import symbolic
from tinygrad.helpers import partition
from tinygrad.dtype import dtypes
def flatten_range(r:UOp) -> UOp|None:
off = range_start[r.op]
rngs = r.src[off:]
if not len(rngs): return None
new_rngs = [x for x in UOp.sink(*rngs).toposort() if x.op is Ops.RANGE]
return r.replace(src=r.src[:off]+tuple(new_rngs))
pm_flatten_range = PatternMatcher([
# real ranges only
(UPat((Ops.REDUCE, Ops.END), name="r"), flatten_range),
])
# index/range arithmetic uses FLOORDIV/FLOORMOD prior to late rewrite
def count_divmod(x:UOp) -> int: return sum(u.op in {Ops.FLOORDIV, Ops.FLOORMOD} for u in x.backward_slice)
def simplify_merge_adjacent(u:UOp) -> UOp|None:
reduce_ranges = [x.ranges for x in u.backward_slice_with_self if x.op is Ops.REDUCE]
# on END we only want to merge adjacent ranges, on REDUCE we want to try all combinations
for r0, r1 in (zip(u.ended_ranges, u.ended_ranges[1:]) if u.op is Ops.END else itertools.permutations(u.ended_ranges, 2)):
# check same type
if r0.arg[-1] == r1.arg[-1]:
# check if the ranges to merge are in the same reduces
if all((r0 in rngs) == (r1 in rngs) for rngs in reduce_ranges):
s0, s1 = r0.src[0], r1.src[0]
# do the merge
new_range = r0.replace(src=(s0*s1,))
nidx = graph_rewrite(u, _substitute+symbolic+pm_flatten_range, ctx={r0:new_range//s1, r1:new_range%s1},
name=f"check_merge_{r0.arg[0]}_{r1.arg[0]}")
# check if it simplifies
if count_divmod(nidx) <= count_divmod(u):
u = nidx
return u
def mark_gated(ctx, idx):
if idx.src[1].op is Ops.WHERE:
x, cond = idx.src[1].get_idx(), idx.src[1].get_valid()
# get all ranges r with guards "r < c" for some const c
guards = {r:c for v in cond.split_uop(Ops.AND) if v.op is Ops.CMPLT and (r:=v.src[0]).op is Ops.RANGE and (c:=v.src[1]).op is Ops.CONST}
else: x, guards = idx, {}
# ensure that we choose max(c_i) for all i where r < c_i
ctx |= {r:c for r,c in guards.items() if (r not in ctx or ctx[r].arg < c.arg)}
# but if a range is ever ungated, we cannot shrink it
ctx |= {r:r.src[0] for r in x.ranges if r not in guards}
pm_simplify_ranges = PatternMatcher([
(UPat((Ops.END, Ops.REDUCE), name="u"), simplify_merge_adjacent),
(UPat(Ops.INDEX, name="idx"), mark_gated),
# reduce ranges can't be shrunk
(UPat(Ops.REDUCE, name="red"), lambda ctx, red: ctx.update({r:r.src[0] for r in red.src[1:]})),
(UPat(Ops.SINK, name="x"), lambda ctx, x: do_substitute(ctx, x, lambda r,c: r.replace(src=(c,)))),
])
def mark_range_mod(ctx:dict[UOp, UOp|None], r:UOp, c:UOp) -> None:
if r not in ctx and r.arg[-1] is not AxisType.WARP and r.src[0].op is Ops.CONST and r.src[0].divides(c.arg) is not None: ctx[r] = c
def do_substitute(ctx:dict, x: UOp, sub_fxn:Callable[[UOp, UOp], UOp]) -> UOp|None:
ret = x.substitute({k:sub_fxn(k,v) for k,v in ctx.items() if v is not None})
ctx.clear()
return None if ret is x else ret.simplify()
pm_split_ranges = PatternMatcher([
(UPat(Ops.RANGE, name="r")%UPat.cvar("c"), mark_range_mod),
(UPat(Ops.SINK, name="x"), lambda ctx, x: do_substitute(ctx, x,
lambda k,v: k.replace(src=(k.src[0]//v,), arg=k.arg[0:-1]+(0,k.arg[-1]))*v + k.replace(src=(v,), arg=k.arg[0:-1]+(1,k.arg[-1])))),
])
# **** reduce simplification ****
def no_range(u:UOp) -> bool: return not any(x.op is Ops.RANGE for x in u.backward_slice_with_self)
def reduce_unparented(red:UOp) -> UOp|None:
if red.arg[0] not in {Ops.ADD, Ops.MAX, Ops.MUL}: return None
assert all(x.op is Ops.RANGE for x in red.src[1:]), "some reduce srcs aren't ranges"
reduce_parented, reduce_unparented = partition(red.src[1:], lambda x: x in red.src[0].ranges)
if len(reduce_unparented) == 0: return None
ret = red.replace(src=(red.src[0],)+tuple(reduce_parented)) if len(reduce_parented) or red.dtype != red.src[0].dtype else red.src[0]
if red.arg[0] is Ops.ADD:
for r in reduce_unparented: ret = ret * r.src[0].cast(ret.dtype.scalar()).broadcast(ret.dtype.count)
if red.arg[0] is Ops.MUL:
for r in reduce_unparented: ret = ret ** r.src[0].cast(ret.dtype.scalar()).broadcast(ret.dtype.count)
return ret
pm_reduce_unparented = PatternMatcher([
# remove any ranges from a REDUCE that aren't referenced in the reduce source
(UPat(Ops.REDUCE, name="red"), reduce_unparented),
])
pm_reduce_collapse = pm_reduce_unparented + PatternMatcher([
# lift x+y out of reduce on lt
((UPat.var("x")+UPat.var("y")).or_casted() < UPat.var("c"), lambda x,y,c: (x < (c.cast(y.dtype)-y)) if no_range(y) and no_range(c) else None),
# lift x*y out of reduce
((UPat.var("x")*UPat.var("y")) < UPat.var("c"),
lambda x,y,c: (x < ((c+y-1) // y)) if no_range(y) and no_range(c) and dtypes.is_int(y.dtype) and y.vmin > 0 else None),
# fold the range
# bound from below
((UPat(Ops.RANGE, name="r") < UPat.var("cut")).where(0, UPat.var("val")).reduce(UPat.var("r"), arg=Ops.ADD),
lambda r,cut,val: (r.src[0]-cut).maximum(0).minimum(r.src[0]).cast(val.dtype) * val if no_range(val) else None),
# bound from two sides
(((UPat.var("r")<UPat.var("lower")).logical_not()&(UPat(Ops.RANGE, name="r")<UPat.var("upper"))).where(UPat.var("val"), 0).reduce(UPat.var("r"),
arg=Ops.ADD), lambda r,lower,upper,val:
(upper.minimum(r.src[0])-lower.maximum(0)).maximum(0).minimum(r.src[0]).cast(val.dtype) * val if no_range(val) else None),
# bound from above
((UPat(Ops.RANGE, name="r") < UPat.var("cut")).where(UPat.var("val"), 0).reduce(UPat.var("r"), arg=Ops.ADD),
lambda r,cut,val: cut.maximum(0).minimum(r.src[0]).cast(val.dtype) * val if no_range(val) else None),
# REDUCE on ADD
((UPat.var("x")+UPat.var("y")).reduce(arg=Ops.ADD, allow_any_len=True, name="r"),
lambda x,y,r: x.reduce(*r.src[1:], arg=Ops.ADD) + y.reduce(*r.src[1:],arg=Ops.ADD)),
# AND on WHERE
((UPat(Ops.DEFINE_VAR, name="x") & UPat.var("y")).where(UPat.var("c"), 0).reduce(arg=Ops.ADD, allow_any_len=True, name="r"),
lambda x,y,c,r: y.where(c, 0).reduce(*r.src[1:], arg=Ops.ADD)*x.cast(c.dtype)),
# MUL casted bool
((UPat.var("x") * UPat.var("gate", dtype=dtypes.bool).cast()), lambda x,gate: gate.where(x, 0)),
])+symbolic
pm_reduce_load_collapse = pm_reduce_collapse + PatternMatcher([
# lift x+y out of reduce on ne
((UPat.var("x")+UPat.var("y")).or_casted() != UPat.var("c"), lambda x,y,c: (x != (c.cast(y.dtype)-y)) if no_range(y) and no_range(c) else None),
# reduce on gated load becomes can substitute the range and remove the reduce
((UPat.var("idx")!=(UPat(Ops.RANGE, name="r").or_casted())).where(0, UPat.var("expr")).reduce(UPat.var("r"), arg=Ops.ADD),
lambda r,idx,expr: (v:=(idx.cast(r.dtype) >= 0) & (idx.cast(r.dtype) < r.src[0])).where(expr.substitute({r:idx.cast(r.dtype).valid(v)}),0)),
])
def reduce_collapse(red:UOp, u:UOp, pm:PatternMatcher=pm_reduce_collapse) -> UOp|None:
for r in red.src[1:]:
included = u.toposort(gate=lambda x: r in x.ranges)
if any(x.op in {Ops.STORE, Ops.REDUCE} for x in included): return None
replaces: dict[UOp, UOp] = {}
for u in included:
for s in u.src:
if s in included or s in replaces or s.op in {Ops.CONST, Ops.PARAM, Ops.DEFINE_LOCAL, Ops.DEFINE_VAR}: continue
replaces[s] = UOp.variable(f'in{len(replaces)}', s.vmin, s.vmax, s.dtype)
collapse_fxn = u.substitute(replaces).reduce(r, arg=Ops.ADD)
sink = graph_rewrite(collapse_fxn, pm, name="reduce_collapse")
if not no_range(sink): return None
u = sink.substitute({v:k for k,v in replaces.items()})
return u
def reduce_load_collapse(red:UOp, u:UOp) -> UOp|None: return reduce_collapse(red, u, pm=pm_reduce_load_collapse)
# remove REDUCE without loads (generic arange opt / indexing).
pm_reduce_simplify = pm_reduce_unparented + PatternMatcher([
(UPat(Ops.REDUCE, src=(UPat.var("u"),), allow_any_len=True, arg=(Ops.ADD, ()), name="red"), reduce_collapse),
])
# remove REDUCE on load, comes from indexing a tensor with another tensor
def no_load(u:UOp) -> bool: return not any(x.op is Ops.INDEX for x in u.backward_slice_with_self)
pm_load_collapse = PatternMatcher([
(UPat(Ops.REDUCE, arg=(Ops.ADD, ()), src=(UPat.var("u"), UPat()), name="red"), reduce_load_collapse),
# we want to make sure we dont do math on a loaded index since that can cause overflow, this undoes the rule in pm_reduce_load_collapse
((UPat.var("x", dtypes.weakint)+UPat.var("y"))<UPat.var("c"), lambda x,y,c: x < c-y if no_load(y) and no_load(c) and not no_load(x) else None),
])