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llvm-mirror/test/Analysis/ScalarEvolution
Alexandre Isoard a49643a387 [SCEV] Add URem support to SCEV
In LLVM IR the following code:

    %r = urem <ty> %t, %b

is equivalent to

    %q = udiv <ty> %t, %b
    %s = mul <ty> nuw %q, %b
    %r = sub <ty> nuw %t, %q ; (t / b) * b + (t % b) = t

As UDiv, Mul and Sub are already supported by SCEV, URem can be implemented
with minimal effort using that relation:

    %r --> (-%b * (%t /u %b)) + %t

We implement two special cases:

  - if %b is 1, the result is always 0
  - if %b is a power-of-two, we produce a zext/trunc based expression instead

That is, the following code:

    %r = urem i32 %t, 65536

Produces:

    %r --> (zext i16 (trunc i32 %a to i16) to i32)

Note that while this helps get a tighter bound on the range analysis and the
known-bits analysis, this exposes some normalization shortcoming of SCEVs:

    %div = udim i32 %a, 65536
    %mul = mul i32 %div, 65536
    %rem = urem i32 %a, 65536
    %add = add i32 %mul, %rem

Will usually not be reduced.

llvm-svn: 312329
2017-09-01 14:59:59 +00:00
..
2007-07-15-NegativeStride.ll
2007-08-06-MisinterpretBranch.ll
2007-08-06-Unsigned.ll
2007-09-27-LargeStepping.ll
2007-11-14-SignedAddRec.ll
2007-11-18-OrInstruction.ll
2008-02-11-ReversedCondition.ll
2008-02-12-SMAXTripCount.ll
2008-02-15-UMax.ll
2008-05-25-NegativeStepToZero.ll
2008-06-12-BinomialInt64.ll
2008-07-12-UnneededSelect1.ll
2008-07-12-UnneededSelect2.ll
2008-07-19-InfiniteLoop.ll
2008-07-19-WrappingIV.ll
2008-07-29-SGTTripCount.ll
2008-07-29-SMinExpr.ll
2008-08-04-IVOverflow.ll
2008-08-04-LongAddRec.ll
2008-11-02-QuadraticCrash.ll
2008-11-15-CubicOOM.ll
2008-11-18-LessThanOrEqual.ll
2008-11-18-Stride1.ll
2008-11-18-Stride2.ll
2008-12-08-FiniteSGE.ll
2008-12-11-SMaxOverflow.ll
2008-12-14-StrideAndSigned.ll
2008-12-15-DontUseSDiv.ll
2009-01-02-SignedNegativeStride.ll
2009-04-22-TruncCast.ll
2009-05-09-PointerEdgeCount.ll
2009-07-04-GroupConstantsWidthMismatch.ll
2010-09-03-RequiredTransitive.ll
2011-03-09-ExactNoMaxBECount.ll
2011-04-26-FoldAddRec.ll [PM] Clean up the testing for IVUsers, especially with the new PM. 2017-01-15 09:29:27 +00:00
2011-10-04-ConstEvolve.ll
2012-03-26-LoadConstant.ll
2012-05-18-LoopPredRecurse.ll [PM] Clean up the testing for IVUsers, especially with the new PM. 2017-01-15 09:29:27 +00:00
2012-05-29-MulAddRec.ll
and-xor.ll
avoid-assume-hang.ll
avoid-infinite-recursion-0.ll
avoid-infinite-recursion-1.ll [PM] Clean up the testing for IVUsers, especially with the new PM. 2017-01-15 09:29:27 +00:00
avoid-smax-0.ll
avoid-smax-1.ll
cache_loop_exit_limit.ll [SCEV] Re-enable "Cache results of computeExitLimit" 2017-08-03 08:41:30 +00:00
constant_condition.ll
different-loops-recs.ll Re-enable "[SCEV] Do not fold dominated SCEVUnknown into AddRecExpr start" 2017-05-26 06:47:04 +00:00
div-overflow.ll
do-loop.ll
exhaustive-trip-counts.ll [SCEV] Compute max be count from shift operator only if all else fails 2016-06-30 02:47:28 +00:00
expander-replace-congruent-ivs.ll
exponential-behavior.ll [SCEV] Fix exponential time complexity by caching 2017-04-24 00:09:46 +00:00
ext-antecedent.ll
flags-from-poison-dbg.ll
flags-from-poison.ll [SCEV] Preserve NSW information for sext(subtract). 2017-08-04 20:19:46 +00:00
flattened-0.ll [SCEV] Add URem support to SCEV 2017-09-01 14:59:59 +00:00
fold.ll
guards.ll Re-enable "[IndVars] Canonicalize comparisons between non-negative values and indvars" 2017-07-08 17:17:30 +00:00
how-far-to-zero.ll
implied-via-addition.ll [ScalarEvolution] Re-enable Predicate implication from operations 2017-03-31 12:05:30 +00:00
implied-via-division.ll [ScalarEvolution] Re-enable Predicate implication from operations 2017-03-31 12:05:30 +00:00
incorrect-nsw.ll
increasing-or-decreasing-iv.ll
infer-prestart-no-wrap.ll
infer-via-ranges.ll
invalidation.ll [PM] The assumption cache is fundamentally designed to be self-updating, 2017-01-15 00:26:18 +00:00
latch-dominating-conditions.ll
limit-depth.ll [SCEV] Use depth limit instead of local cache for SExt and ZExt 2017-06-30 05:04:09 +00:00
load-with-range-metadata.ll
load.ll
max-addops-inline.ll [SCEV] Introduce add operation inlining limit 2017-01-26 13:33:17 +00:00
max-addrec-size.ll [SCEV] Limit max size of AddRecExpr during evolving 2017-07-23 15:40:19 +00:00
max-mulops-inline.ll [SCEV] Add a threshold to restrict number of mul operands to be inlined into SCEV 2016-10-20 21:38:39 +00:00
max-trip-count-address-space.ll
max-trip-count.ll [SCEV] Make howFarToZero max backedge-taken count check for precondition. 2017-01-11 21:07:15 +00:00
min-max-exprs.ll
no-wrap-add-exprs.ll
no-wrap-unknown-becount.ll Revert @llvm.assume with operator bundles (r289755-r289757) 2016-12-19 08:22:17 +00:00
non-IV-phi.ll
nowrap-preinc-limits.ll
nsw-offset-assume.ll Revert @llvm.assume with operator bundles (r289755-r289757) 2016-12-19 08:22:17 +00:00
nsw-offset.ll
nsw.ll [SCEV] Clarify behavior around max backedge taken count 2017-05-22 06:46:04 +00:00
nw-sub-is-not-nw-add.ll
overflow-intrinsics.ll
pointer-sign-bits.ll
pr3909.ll
pr18606-min-zeros.ll [SCEV] Cache results during GetMinTrailingZeros query 2017-02-14 15:53:12 +00:00
pr18606.ll [SCEV] Memoize visitMulExpr results in SCEVRewriteVisitor. 2016-10-21 20:05:21 +00:00
pr22179.ll
pr22641.ll
pr22674.ll
pr22856.ll
pr24757.ll [SCEV] Make getUDivExactExpr handle non-nuw multiplies correctly. 2017-01-18 23:56:42 +00:00
pr25369.ll
pr27315.ll
pr28705.ll Fix the runtime error caused by "Use ValueOffsetPair to enhance value reuse during SCEV expansion". 2016-08-09 20:40:03 +00:00
predicated-trip-count.ll
range-signedness.ll
returned.ll Teach SCEV to look through returned-argument functions 2016-07-11 02:48:23 +00:00
scev-aa.ll
scev-canonical-mode.ll
scev-dispositions.ll
scev-expander-existing-value-offset.ll Recommit "Use ValueOffsetPair to enhance value reuse during SCEV expansion". 2016-08-09 20:37:50 +00:00
scev-expander-incorrect-nowrap.ll
scev-expander-reuse-gep.ll Create a getelementptr instead of sub expr for ValueOffsetPair if the 2016-09-14 04:39:50 +00:00
scev-expander-reuse-unroll.ll [UNROLL] Postpone ScalarEvolution::forgetLoop after TripCountSC is expanded 2016-08-25 16:17:18 +00:00
scev-expander-reuse-vect.ll [UNROLL] Postpone ScalarEvolution::forgetLoop after TripCountSC is expanded 2016-08-25 16:17:18 +00:00
scev-invalid.ll
scev-prestart-nowrap.ll
sext-inreg.ll [SCEV] Simplify/generalize howFarToZero solving. 2017-01-31 00:42:42 +00:00
sext-iv-0.ll
sext-iv-1.ll
sext-iv-2.ll
sext-mul.ll Model ashr(shl(x, n), m) as mul(x, 2^(n-m)) when n > m 2017-03-23 18:06:09 +00:00
sext-to-zext.ll
sext-zero.ll Model ashr(shl(x, n), m) as mul(x, 2^(n-m)) when n > m 2017-03-23 18:06:09 +00:00
shift-op.ll
sle.ll
smax-br-phi-idioms.ll [SCEV] Don't infinitely recurse on unreachable code 2016-08-05 18:34:14 +00:00
smax.ll
SolveQuadraticEquation.ll
trip-count2.ll
trip-count3.ll
trip-count4.ll
trip-count5.ll [SCEV] Un-grep'ify tests; NFC 2016-08-05 20:33:49 +00:00
trip-count6.ll
trip-count7.ll
trip-count8.ll
trip-count9.ll
trip-count10.ll
trip-count11.ll
trip-count12.ll
trip-count13.ll [LoopUnroll] Keep the loop test only on the first iteration of max-or-zero loops 2016-10-21 11:08:48 +00:00
trip-count14.ll [LoopUnroll] Keep the loop test only on the first iteration of max-or-zero loops 2016-10-21 11:08:48 +00:00
trip-count-pow2.ll [SCEV] Clarify behavior around max backedge taken count 2017-05-22 06:46:04 +00:00
trip-count-switch.ll
trip-count-unknown-stride.ll Reapplying r278731 after fixing the problem that caused it to be reverted. 2016-09-16 14:38:13 +00:00
trip-count.ll Be wary of abnormal exits from loop when exploiting UB 2016-06-09 01:13:59 +00:00
tripmultiple_calculation.ll [SCEV] Fix trip multiple calculation 2017-03-20 20:25:46 +00:00
undefined.ll
unreachable-code.ll
unsimplified-loop.ll
urem-0.ll [SCEV] Add URem support to SCEV 2017-09-01 14:59:59 +00:00
ZeroStep.ll [SCEV] createAddRecFromPHI: Optimize for the most common case. 2017-05-03 23:53:38 +00:00
zext-signed-addrec.ll
zext-wrap.ll [SCEV] Compute affine range in another way to avoid bitwidth extending. 2017-03-16 21:07:38 +00:00