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validhack is_irreducible helper (#6664) 

[run_process_replay]
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chenyu 2024-09-22 23:42:47 -04:00 committed by GitHub
parent 1923932339
commit 2d4d594994
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1 changed files with 4 additions and 2 deletions
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6
tinygrad/codegen/uopgraph.py
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@ -163,6 +163,8 @@ def fold_unrolled_divs(divs:UOp):
# ***** image load valid simplification *****
def is_irreducible(u:UOp): return u.op in (UOps.DEFINE_VAR, UOps.SPECIAL, UOps.RANGE)
def canonicalize_simplex(X:UOp) -> Optional[UOp]:
# (X := a0*x0 + a1*x1 + ...) > 0 is equivalent to x0 + x1 + ... > 0 if xi >= 0 and ai > 0 for ints.
# returns x0 + x1 + ... in such case, or None if not
@ -172,13 +174,13 @@ def canonicalize_simplex(X:UOp) -> Optional[UOp]:
if u.op is UOps.ALU and u.arg is BinaryOps.MUL and u.src[1].op is UOps.CONST and u.src[1].arg > 0:
changed = True
u = u.src[0]
if not (u.op in (UOps.DEFINE_VAR, UOps.SPECIAL, UOps.RANGE) and u.vmin >= 0): return None
if not (is_irreducible(u) and u.vmin >= 0): return None
ret.append(u)
return functools.reduce(operator.add, ret) if changed else None
def is_increasing(f:UOp):
# is f a monotonically increasing function regards its input
if f.op in [UOps.CONST, UOps.DEFINE_VAR, UOps.SPECIAL, UOps.RANGE]: return True
if f.op is UOps.CONST or is_irreducible(f): return True
if f.op is UOps.ALU and f.arg is BinaryOps.ADD: return is_increasing(f.src[0]) and is_increasing(f.src[1])
if f.op is UOps.ALU and f.arg in (BinaryOps.MUL, BinaryOps.IDIV) and f.src[1].op is UOps.CONST and f.src[1].arg >= 0: return is_increasing(f.src[0])
return False # False if not sure