From daff1e30219d136977c71f42e82ccc58c9013cfb Mon Sep 17 00:00:00 2001
From: Jannis <overesch.jannis@gmail.com>
Date: Wed, 20 Mar 2024 20:39:38 +0100
Subject: [PATCH] Division by constants optimization
---
compiler/GHC/Cmm/Config.hs | 2 +
compiler/GHC/Cmm/MachOp.hs | 15 +
compiler/GHC/Cmm/Opt.hs | 610 +-
compiler/GHC/Cmm/Pipeline.hs | 7 +-
compiler/GHC/Cmm/Sink.hs | 135 +-
compiler/GHC/Driver/Config/Cmm.hs | 12 +
compiler/GHC/StgToCmm/Prim.hs | 33 +-
testsuite/tests/numeric/should_run/all.T | 1 +
testsuite/tests/numeric/should_run/div01.hs | 109 +
.../tests/numeric/should_run/div01.stdout | 12030 ++++++++++++++++
.../numeric/should_run/div01.stdout-ws-32 | 12030 ++++++++++++++++
testsuite/tests/numeric/should_run/mul2.hs | 21 +-
.../tests/numeric/should_run/mul2.stdout | 18 +
.../numeric/should_run/mul2.stdout-ws-32 | 18 +
14 files changed, 24909 insertions(+), 132 deletions(-)
create mode 100644 testsuite/tests/numeric/should_run/div01.hs
create mode 100644 testsuite/tests/numeric/should_run/div01.stdout
create mode 100644 testsuite/tests/numeric/should_run/div01.stdout-ws-32
diff --git a/compiler/GHC/Cmm/Config.hs b/compiler/GHC/Cmm/Config.hs
index 4c8f8f2280c7..218aa70de571 100644
--- a/compiler/GHC/Cmm/Config.hs
+++ b/compiler/GHC/Cmm/Config.hs
@@ -24,6 +24,8 @@ data CmmConfig = CmmConfig
, cmmExternalDynamicRefs :: !Bool -- ^ Generate code to link against dynamic libraries
, cmmDoCmmSwitchPlans :: !Bool -- ^ Should the Cmm pass replace Stg switch statements
, cmmSplitProcPoints :: !Bool -- ^ Should Cmm split proc points or not
+ , cmmAllowMul2 :: !Bool -- ^ Does this platform support mul2
+ , cmmOptConstDivision :: !Bool -- ^ Should we optimize constant divisors
}
-- | retrieve the target Cmm platform
diff --git a/compiler/GHC/Cmm/MachOp.hs b/compiler/GHC/Cmm/MachOp.hs
index 81abe1a5d7b3..508359e40ab7 100644
--- a/compiler/GHC/Cmm/MachOp.hs
+++ b/compiler/GHC/Cmm/MachOp.hs
@@ -7,6 +7,7 @@ module GHC.Cmm.MachOp
, pprMachOp, isCommutableMachOp, isAssociativeMachOp
, isComparisonMachOp, maybeIntComparison, machOpResultType
, machOpArgReps, maybeInvertComparison, isFloatComparison
+ , isCommutableCallishMachOp
-- MachOp builders
, mo_wordAdd, mo_wordSub, mo_wordEq, mo_wordNe,mo_wordMul, mo_wordSQuot
@@ -790,3 +791,17 @@ machOpMemcpyishAlign op = case op of
MO_Memmove align -> Just align
MO_Memcmp align -> Just align
_ -> Nothing
+
+isCommutableCallishMachOp :: CallishMachOp -> Bool
+isCommutableCallishMachOp op =
+ case op of
+ MO_x64_Add -> True
+ MO_x64_Mul -> True
+ MO_x64_Eq -> True
+ MO_x64_Ne -> True
+ MO_x64_And -> True
+ MO_x64_Or -> True
+ MO_x64_Xor -> True
+ MO_S_Mul2 _ -> True
+ MO_U_Mul2 _ -> True
+ _ -> False
diff --git a/compiler/GHC/Cmm/Opt.hs b/compiler/GHC/Cmm/Opt.hs
index a7a03b2526ad..2d0b54232d71 100644
--- a/compiler/GHC/Cmm/Opt.hs
+++ b/compiler/GHC/Cmm/Opt.hs
@@ -5,28 +5,52 @@
-- (c) The University of Glasgow 2006
--
-----------------------------------------------------------------------------
-
+{-# LANGUAGE TupleSections #-}
+{-# LANGUAGE TypeApplications #-}
+{-# LANGUAGE PatternSynonyms #-}
module GHC.Cmm.Opt (
constantFoldNode,
constantFoldExpr,
cmmMachOpFold,
- cmmMachOpFoldM
+ cmmMachOpFoldM,
+ Opt, runOpt
) where
import GHC.Prelude
+import GHC.Cmm.Dataflow.Block
import GHC.Cmm.Utils
import GHC.Cmm
-import GHC.Utils.Misc
+import GHC.Cmm.Config
+
+import GHC.Types.Unique.Supply
+import GHC.Utils.Misc
import GHC.Utils.Panic
import GHC.Platform
import Data.Maybe
-
-
-constantFoldNode :: Platform -> CmmNode e x -> CmmNode e x
-constantFoldNode platform = mapExp (constantFoldExpr platform)
+import Data.Word
+import GHC.Exts (oneShot)
+import Control.Monad
+
+constantFoldNode :: CmmNode e x -> Opt (CmmNode e x)
+constantFoldNode (CmmUnsafeForeignCall (PrimTarget op) res args)
+ = traverse constantFoldExprOpt args >>= cmmCallishMachOpFold op res
+constantFoldNode node
+ = mapExpOpt constantFoldExprOpt node
+
+constantFoldExprOpt :: CmmExpr -> Opt CmmExpr
+constantFoldExprOpt e = wrapRecExpOpt f e
+ where
+ f (CmmMachOp op args)
+ = do
+ cfg <- getConfig
+ case cmmMachOpFold (cmmPlatform cfg) op args of
+ CmmMachOp op' args' -> fromMaybe (CmmMachOp op' args') <$> cmmMachOpFoldOptM cfg op' args'
+ e -> pure e
+ f (CmmRegOff r 0) = pure (CmmReg r)
+ f e = pure e
constantFoldExpr :: Platform -> CmmExpr -> CmmExpr
constantFoldExpr platform = wrapRecExp f
@@ -281,7 +305,7 @@ cmmMachOpFoldM platform cmp [CmmMachOp conv [x], CmmLit (CmmInt i _)]
maybe_comparison (MO_S_Le _) rep False = Just (MO_U_Le rep)
maybe_comparison _ _ _ = Nothing
--- We can often do something with constants of 0 and 1 ...
+-- We can often do something with constants of 0, 1 and (-1) ...
-- See Note [Comparison operators]
cmmMachOpFoldM platform mop [x, y@(CmmLit (CmmInt 0 _))]
@@ -352,6 +376,8 @@ cmmMachOpFoldM platform mop [x, (CmmLit (CmmInt n _))]
MO_Mul rep
| Just p <- exactLog2 n ->
Just $! (cmmMachOpFold platform (MO_Shl rep) [x, CmmLit (CmmInt p $ wordWidth platform)])
+ -- The optimization for division by power of 2 is technically duplicated, but since at least one other part of ghc uses
+ -- the pure `constantFoldExpr` this remains
MO_U_Quot rep
| Just p <- exactLog2 n ->
Just $! (cmmMachOpFold platform (MO_U_Shr rep) [x, CmmLit (CmmInt p $ wordWidth platform)])
@@ -360,46 +386,19 @@ cmmMachOpFoldM platform mop [x, (CmmLit (CmmInt n _))]
Just $! (cmmMachOpFold platform (MO_And rep) [x, CmmLit (CmmInt (n - 1) rep)])
MO_S_Quot rep
| Just p <- exactLog2 n,
- CmmReg _ <- x -> -- We duplicate x in signedQuotRemHelper, hence require
- -- it is a reg. FIXME: remove this restriction.
+ CmmReg _ <- x ->
Just $! (cmmMachOpFold platform (MO_S_Shr rep)
- [signedQuotRemHelper rep p, CmmLit (CmmInt p $ wordWidth platform)])
+ [signedQuotRemHelper platform n x rep p, CmmLit (CmmInt p $ wordWidth platform)])
MO_S_Rem rep
| Just p <- exactLog2 n,
- CmmReg _ <- x -> -- We duplicate x in signedQuotRemHelper, hence require
- -- it is a reg. FIXME: remove this restriction.
+ CmmReg _ <- x ->
-- We replace (x `rem` 2^p) by (x - (x `quot` 2^p) * 2^p).
-- Moreover, we fuse MO_S_Shr (last operation of MO_S_Quot)
-- and MO_S_Shl (multiplication by 2^p) into a single MO_And operation.
Just $! (cmmMachOpFold platform (MO_Sub rep)
[x, cmmMachOpFold platform (MO_And rep)
- [signedQuotRemHelper rep p, CmmLit (CmmInt (- n) rep)]])
+ [signedQuotRemHelper platform n x rep p, CmmLit (CmmInt (- n) rep)]])
_ -> Nothing
- where
- -- In contrast with unsigned integers, for signed ones
- -- shift right is not the same as quot, because it rounds
- -- to minus infinity, whereas quot rounds toward zero.
- -- To fix this up, we add one less than the divisor to the
- -- dividend if it is a negative number.
- --
- -- to avoid a test/jump, we use the following sequence:
- -- x1 = x >> word_size-1 (all 1s if -ve, all 0s if +ve)
- -- x2 = y & (divisor-1)
- -- result = x + x2
- -- this could be done a bit more simply using conditional moves,
- -- but we're processor independent here.
- --
- -- we optimise the divide by 2 case slightly, generating
- -- x1 = x >> word_size-1 (unsigned)
- -- return = x + x1
- signedQuotRemHelper :: Width -> Integer -> CmmExpr
- signedQuotRemHelper rep p = CmmMachOp (MO_Add rep) [x, x2]
- where
- bits = fromIntegral (widthInBits rep) - 1
- shr = if p == 1 then MO_U_Shr rep else MO_S_Shr rep
- x1 = CmmMachOp shr [x, CmmLit (CmmInt bits $ wordWidth platform)]
- x2 = if p == 1 then x1 else
- CmmMachOp (MO_And rep) [x1, CmmLit (CmmInt (n-1) rep)]
-- ToDo (#7116): optimise floating-point multiplication, e.g. x*2.0 -> x+x
-- Unfortunately this needs a unique supply because x might not be a
@@ -420,10 +419,541 @@ we really want to convert to
That's what the constant-folding operations on comparison operators do above.
-}
-
-- -----------------------------------------------------------------------------
-- Utils
isPicReg :: CmmExpr -> Bool
isPicReg (CmmReg (CmmGlobal (GlobalRegUse PicBaseReg _))) = True
isPicReg _ = False
+
+canOptimizeDivision :: CmmConfig -> Width -> Bool
+canOptimizeDivision cfg rep = cmmOptConstDivision cfg &&
+ -- we can either widen the arguments to simulate mul2 or use mul2 directly for the platform word size
+ (rep < wordWidth platform || (rep == wordWidth platform && cmmAllowMul2 cfg))
+ where platform = cmmPlatform cfg
+
+-- -----------------------------------------------------------------------------
+-- Folding callish machops
+
+cmmCallishMachOpFold :: CallishMachOp -> [CmmFormal] -> [CmmActual] -> Opt (CmmNode O O)
+cmmCallishMachOpFold op res args =
+ fromMaybe (CmmUnsafeForeignCall (PrimTarget op) res args) <$> (getConfig >>= \cfg -> cmmCallishMachOpFoldM cfg op res args)
+
+cmmCallishMachOpFoldM :: CmmConfig -> CallishMachOp -> [CmmFormal] -> [CmmActual] -> Opt (Maybe (CmmNode O O))
+
+-- If possible move the literals to the right, the following cases assume that to be the case
+cmmCallishMachOpFoldM cfg op res [x@(CmmLit _),y]
+ | isCommutableCallishMachOp op && not (isLit y) = cmmCallishMachOpFoldM cfg op res [y,x]
+
+-- Both arguments are literals, replace with the result
+cmmCallishMachOpFoldM _ op res [CmmLit (CmmInt x _), CmmLit (CmmInt y _)]
+ = case op of
+ MO_S_Mul2 rep
+ | [rHiNeeded,rHi,rLo] <- res -> do
+ let resSz = widthInBits rep
+ resVal = (narrowS rep x) * (narrowS rep y)
+ high = resVal `shiftR` resSz
+ low = narrowS rep resVal
+ isHiNeeded = high /= low `shiftR` resSz
+ isHiNeededVal = if isHiNeeded then 1 else 0
+ prependNode $! CmmAssign (CmmLocal rHiNeeded) (CmmLit $ CmmInt isHiNeededVal rep)
+ prependNode $! CmmAssign (CmmLocal rHi) (CmmLit $ CmmInt high rep)
+ pure . Just $! CmmAssign (CmmLocal rLo) (CmmLit $ CmmInt low rep)
+ MO_U_Mul2 rep
+ | [rHi,rLo] <- res -> do
+ let resSz = widthInBits rep
+ resVal = (narrowU rep x) * (narrowU rep y)
+ high = resVal `shiftR` resSz
+ low = narrowU rep resVal
+ prependNode $! CmmAssign (CmmLocal rHi) (CmmLit $ CmmInt high rep)
+ pure . Just $! CmmAssign (CmmLocal rLo) (CmmLit $ CmmInt low rep)
+ MO_S_QuotRem rep
+ | [rQuot, rRem] <- res,
+ y /= 0 -> do
+ let (q,r) = quotRem (narrowS rep x) (narrowS rep y)
+ prependNode $! CmmAssign (CmmLocal rQuot) (CmmLit $ CmmInt q rep)
+ pure . Just $! CmmAssign (CmmLocal rRem) (CmmLit $ CmmInt r rep)
+ MO_U_QuotRem rep
+ | [rQuot, rRem] <- res,
+ y /= 0 -> do
+ let (q,r) = quotRem (narrowU rep x) (narrowU rep y)
+ prependNode $! CmmAssign (CmmLocal rQuot) (CmmLit $ CmmInt q rep)
+ pure . Just $! CmmAssign (CmmLocal rRem) (CmmLit $ CmmInt r rep)
+ _ -> pure Nothing
+
+-- 0, 1 or -1 as one of the constants
+
+cmmCallishMachOpFoldM _ op res [_, CmmLit (CmmInt 0 _)]
+ = case op of
+ -- x * 0 == 0
+ MO_S_Mul2 rep
+ | [rHiNeeded, rHi, rLo] <- res -> do
+ prependNode $! CmmAssign (CmmLocal rHiNeeded) (CmmLit $ CmmInt 0 rep)
+ prependNode $! CmmAssign (CmmLocal rHi) (CmmLit $ CmmInt 0 rep)
+ pure . Just $! CmmAssign (CmmLocal rLo) (CmmLit $ CmmInt 0 rep)
+ -- x * 0 == 0
+ MO_U_Mul2 rep
+ | [rHi, rLo] <- res -> do
+ prependNode $! CmmAssign (CmmLocal rHi) (CmmLit $ CmmInt 0 rep)
+ pure . Just $! CmmAssign (CmmLocal rLo) (CmmLit $ CmmInt 0 rep)
+ _ -> pure Nothing
+
+cmmCallishMachOpFoldM _ op res [CmmLit (CmmInt 0 _), _]
+ = case op of
+ -- 0 quotRem d == (0,0)
+ MO_S_QuotRem rep
+ | [rQuot, rRem] <- res -> do
+ prependNode $! CmmAssign (CmmLocal rQuot) (CmmLit $ CmmInt 0 rep)
+ pure . Just $! CmmAssign (CmmLocal rRem) (CmmLit $ CmmInt 0 rep)
+ -- 0 quotRem d == (0,0)
+ MO_U_QuotRem rep
+ | [rQuot,rRem] <- res -> do
+ prependNode $! CmmAssign (CmmLocal rQuot) (CmmLit $ CmmInt 0 rep)
+ pure . Just $! CmmAssign (CmmLocal rRem) (CmmLit $ CmmInt 0 rep)
+ _ -> pure Nothing
+
+cmmCallishMachOpFoldM cfg op res [x, CmmLit (CmmInt 1 _)]
+ = case op of
+ -- x * 1 == x -- Note: The high word needs to be a sign extension of the low word, so we use a sign extending shift
+ MO_S_Mul2 rep
+ | [rHiNeeded, rHi, rLo] <- res -> do
+ let platform = cmmPlatform cfg
+ wordRep = wordWidth platform
+ repInBits = toInteger $ widthInBits rep
+ prependNode $! CmmAssign (CmmLocal rHiNeeded) (CmmLit $ CmmInt 0 rep)
+ prependNode $! CmmAssign (CmmLocal rHi) (cmmMachOpFold platform (MO_S_Shr rep) [x, CmmLit $ CmmInt (repInBits - 1) wordRep])
+ pure . Just $! CmmAssign (CmmLocal rLo) x
+ -- x * 1 == x
+ MO_U_Mul2 rep
+ | [rHi, rLo] <- res -> do
+ prependNode $! CmmAssign (CmmLocal rHi) (CmmLit $ CmmInt 0 rep)
+ pure . Just $! CmmAssign (CmmLocal rLo) x
+ -- x quotRem 1 == (x, 0)
+ MO_S_QuotRem rep
+ | [rQuot, rRem] <- res -> do
+ prependNode $! CmmAssign (CmmLocal rQuot) x
+ pure . Just $! CmmAssign (CmmLocal rRem) (CmmLit $ CmmInt 0 rep)
+ -- x quotRem 1 == (x, 0)
+ MO_U_QuotRem rep
+ | [rQuot, rRem] <- res -> do
+ prependNode $! CmmAssign (CmmLocal rQuot) x
+ pure . Just $! CmmAssign (CmmLocal rRem) (CmmLit $ CmmInt 0 rep)
+ _ -> pure Nothing
+
+-- handle quotRem with a constant divisor
+
+cmmCallishMachOpFoldM cfg op res [n, CmmLit (CmmInt d' _)]
+ = case op of
+ MO_S_QuotRem rep
+ | Just p <- exactLog2 d,
+ [rQuot,rRem] <- res -> do
+ n' <- intoRegister n (cmmBits rep)
+ -- first prepend the optimized division by a power 2
+ prependNode $! CmmAssign (CmmLocal rQuot)
+ (cmmMachOpFold platform (MO_S_Shr rep)
+ [signedQuotRemHelper platform d n' rep p, CmmLit (CmmInt p $ wordWidth platform)])
+ -- then output an optimized remainder by a power of 2
+ pure . Just $! CmmAssign (CmmLocal rRem)
+ (cmmMachOpFold platform (MO_Sub rep)
+ [n', cmmMachOpFold platform (MO_And rep)
+ [signedQuotRemHelper platform d n' rep p, CmmLit (CmmInt (- d) rep)]])
+ | canOptimizeDivision cfg rep,
+ d /= (-1), d /= 0, d /= 1,
+ [rQuot,rRem] <- res -> do
+ -- we are definitely going to use n multiple times, so put it into a register
+ n' <- intoRegister n (cmmBits rep)
+ -- generate an optimized (signed) division of n by d
+ q <- generateDivisionBySigned platform cfg rep n' d
+ -- we also need the result multiple times to calculate the remainder
+ q' <- intoRegister q (cmmBits rep)
+
+ prependNode $! CmmAssign (CmmLocal rQuot) q'
+ -- The remainder now becomes n - q * d
+ pure . Just $! CmmAssign (CmmLocal rRem) $ CmmMachOp (MO_Sub rep) [n', CmmMachOp (MO_Mul rep) [q', CmmLit $ CmmInt d rep]]
+ where
+ platform = cmmPlatform cfg
+ d = narrowS rep d'
+ MO_U_QuotRem rep
+ | Just p <- exactLog2 d,
+ [rQuot,rRem] <- res -> do
+ -- first prepend the optimized division by a power 2
+ prependNode $! CmmAssign (CmmLocal rQuot) $ CmmMachOp (MO_U_Shr rep) [n, CmmLit (CmmInt p $ wordWidth platform)]
+ -- then output an optimized remainder by a power of 2
+ pure . Just $! CmmAssign (CmmLocal rRem) $ CmmMachOp (MO_And rep) [n, CmmLit (CmmInt (d - 1) rep)]
+ | canOptimizeDivision cfg rep,
+ d /= 0, d /= 1,
+ [rQuot,rRem] <- res -> do
+ -- we are definitely going to use n multiple times, so put it into a register
+ n' <- intoRegister n (cmmBits rep)
+ -- generate an optimized (unsigned) division of n by d
+ q <- generateDivisionByUnsigned platform cfg rep n' d
+ -- we also need the result multiple times to calculate the remainder
+ q' <- intoRegister q (cmmBits rep)
+
+ prependNode $! CmmAssign (CmmLocal rQuot) q'
+ -- The remainder now becomes n - q * d
+ pure . Just $! CmmAssign (CmmLocal rRem) $ CmmMachOp (MO_Sub rep) [n', CmmMachOp (MO_Mul rep) [q', CmmLit $ CmmInt d rep]]
+ where
+ platform = cmmPlatform cfg
+ d = narrowU rep d'
+ _ -> pure Nothing
+
+cmmCallishMachOpFoldM _ _ _ _ = pure Nothing
+
+-- -----------------------------------------------------------------------------
+-- Specialized constant folding for MachOps which sometimes need to expand into multiple nodes
+
+cmmMachOpFoldOptM :: CmmConfig -> MachOp -> [CmmExpr] -> Opt (Maybe CmmExpr)
+
+cmmMachOpFoldOptM cfg op [n, CmmLit (CmmInt d' _)] =
+ case op of
+ MO_S_Quot rep
+ -- recheck for power of 2 division. This may not be handled by cmmMachOpFoldM if n is not in a register
+ | Just p <- exactLog2 d -> do
+ n' <- intoRegister n (cmmBits rep)
+ pure . Just $! cmmMachOpFold platform (MO_S_Shr rep)
+ [ signedQuotRemHelper platform d n' rep p
+ , CmmLit (CmmInt p $ wordWidth platform)
+ ]
+ | canOptimizeDivision cfg rep,
+ d /= (-1), d /= 0, d /= 1 -> Just <$!> generateDivisionBySigned platform cfg rep n d
+ where d = narrowS rep d'
+ MO_S_Rem rep
+ -- recheck for power of 2 remainder. This may not be handled by cmmMachOpFoldM if n is not in a register
+ | Just p <- exactLog2 d -> do
+ n' <- intoRegister n (cmmBits rep)
+ pure . Just $! cmmMachOpFold platform (MO_Sub rep)
+ [ n'
+ , cmmMachOpFold platform (MO_And rep)
+ [ signedQuotRemHelper platform d n' rep p
+ , CmmLit (CmmInt (- d) rep)
+ ]
+ ]
+ | canOptimizeDivision cfg rep,
+ d /= (-1), d /= 0, d /= 1 -> do
+ n' <- intoRegister n (cmmBits rep)
+ -- first generate the division
+ q <- generateDivisionBySigned platform cfg rep n' d
+ -- then calculate the remainder by n - q * d
+ pure . Just $! CmmMachOp (MO_Sub rep) [n', CmmMachOp (MO_Mul rep) [q, CmmLit $ CmmInt d rep]]
+ where d = narrowS rep d'
+ MO_U_Quot rep
+ -- No need to recheck power of 2 division because cmmMachOpFoldM always handles that case
+ | canOptimizeDivision cfg rep,
+ d /= 0, d /= 1, Nothing <- exactLog2 d -> Just <$!> generateDivisionByUnsigned platform cfg rep n d
+ where d = narrowU rep d'
+ MO_U_Rem rep
+ -- No need to recheck power of 2 remainder because cmmMachOpFoldM always handles that case
+ | canOptimizeDivision cfg rep,
+ d /= 0, d /= 1, Nothing <- exactLog2 d -> do
+ n' <- intoRegister n (cmmBits rep)
+ -- first generate the division
+ q <- generateDivisionByUnsigned platform cfg rep n d
+ -- then calculate the remainder by n - q * d
+ pure . Just $! CmmMachOp (MO_Sub rep) [n', CmmMachOp (MO_Mul rep) [q, CmmLit $ CmmInt d rep]]
+ where d = narrowU rep d'
+ _ -> pure Nothing
+ where platform = cmmPlatform cfg
+
+cmmMachOpFoldOptM _ _ _ = pure Nothing
+
+-- -----------------------------------------------------------------------------
+-- Utils for prepending new nodes
+
+-- Move an expression into a register to possibly use it multiple times
+intoRegister :: CmmExpr -> CmmType -> Opt CmmExpr
+intoRegister e@(CmmReg _) _ = pure e
+intoRegister expr ty = do
+ u <- getUniqueM
+ let reg = LocalReg u ty
+ CmmReg (CmmLocal reg) <$ prependNode (CmmAssign (CmmLocal reg) expr)
+
+prependNode :: CmmNode O O -> Opt ()
+prependNode n = Opt $ \_ xs -> pure (xs ++ [n], ())
+
+-- -----------------------------------------------------------------------------
+-- Division by constants utils
+
+-- Helper for division by a power of 2
+-- In contrast with unsigned integers, for signed ones
+-- shift right is not the same as quot, because it rounds
+-- to minus infinity, whereas quot rounds toward zero.
+-- To fix this up, we add one less than the divisor to the
+-- dividend if it is a negative number.
+--
+-- to avoid a test/jump, we use the following sequence:
+-- x1 = x >> word_size-1 (all 1s if -ve, all 0s if +ve)
+-- x2 = y & (divisor-1)
+-- result = x + x2
+-- this could be done a bit more simply using conditional moves,
+-- but we're processor independent here.
+--
+-- we optimize the divide by 2 case slightly, generating
+-- x1 = x >> word_size-1 (unsigned)
+-- return = x + x1
+signedQuotRemHelper :: Platform -> Integer -> CmmExpr -> Width -> Integer -> CmmExpr
+signedQuotRemHelper platform n x rep p = CmmMachOp (MO_Add rep) [x, x2]
+ where
+ bits = fromIntegral (widthInBits rep) - 1
+ shr = if p == 1 then MO_U_Shr rep else MO_S_Shr rep
+ x1 = CmmMachOp shr [x, CmmLit (CmmInt bits $ wordWidth platform)]
+ x2 = if p == 1 then x1 else
+ CmmMachOp (MO_And rep) [x1, CmmLit (CmmInt (n-1) rep)]
+
+{- Note: [Division by constants]
+
+Integer division is floor(n / d), the goal is to find m,p
+such that floor((m * n) / 2^p) = floor(n / d).
+
+The idea being: n/d = n * (1/d). But we cannot store 1/d in an integer without
+some error, so we choose some 2^p / d such that the error ends up small and
+thus vanishes when we divide by 2^p again.
+
+The algorithm below to generate these numbers is taken from Hacker's Delight
+Second Edition Chapter 10 "Integer division by constants". The chapter also
+contains proof that this method does indeed produce correct results.
+
+However this is a much more literal interpretation of the algorithm,
+which we can use because of the unbounded Integer type. Hacker's Delight
+also provides a much more complex algorithm which computes these numbers
+without the need to exceed the word size, but that is not necessary here.
+-}
+
+generateDivisionBySigned :: Platform -> CmmConfig -> Width -> CmmExpr -> Integer -> Opt CmmExpr
+
+-- Sanity checks, division will generate incorrect results or undesirable code for these cases
+-- cmmMachOpFoldM and cmmMachOpFoldOptM should have already handled these cases!
+generateDivisionBySigned _ _ _ _ 0 = panic "generate signed division with 0"
+generateDivisionBySigned _ _ _ _ 1 = panic "generate signed division with 1"
+generateDivisionBySigned _ _ _ _ (-1) = panic "generate signed division with -1"
+generateDivisionBySigned _ _ _ _ d | Just _ <- exactLog2 d = panic $ "generate signed division with " ++ show d
+
+generateDivisionBySigned platform _cfg rep n divisor = do
+ -- We only duplicate n' if we actually need to add/subtract it, so we may not need it in a register
+ n' <- if sign == 0 then pure n else intoRegister n resRep
+
+ -- Set up mul2
+ (shift', qExpr) <- mul2 n'
+
+ -- add/subtract n if necessary
+ let qExpr' = case sign of
+ 1 -> CmmMachOp (MO_Add rep) [qExpr, n']
+ -1 -> CmmMachOp (MO_Sub rep) [qExpr, n']
+ _ -> qExpr
+
+ qExpr'' <- intoRegister (cmmMachOpFold platform (MO_S_Shr rep) [qExpr', CmmLit $ CmmInt shift' wordRep]) resRep
+
+ -- Lastly add the sign of the quotient to correct for negative results
+ pure $! cmmMachOpFold platform
+ (MO_Add rep) [qExpr'', cmmMachOpFold platform (MO_U_Shr rep) [qExpr'', CmmLit $ CmmInt (toInteger $ widthInBits rep - 1) wordRep]]
+ where
+ resRep = cmmBits rep
+ wordRep = wordWidth platform
+ (magic, sign, shift) = divisionMagicS rep divisor
+ -- generate the multiply with the magic number
+ mul2 n
+ -- Using mul2 for sub-word sizes regresses for signed integers only
+ | rep == wordWidth platform = do
+ (r1, r2, r3) <- (,,) <$> getUniqueM <*> getUniqueM <*> getUniqueM
+ let rg1 = LocalReg r1 resRep
+ resReg = LocalReg r2 resRep
+ rg3 = LocalReg r3 resRep
+ res <- CmmReg (CmmLocal resReg) <$ prependNode (CmmUnsafeForeignCall (PrimTarget (MO_S_Mul2 rep)) [rg1, resReg, rg3] [n, CmmLit $ CmmInt magic rep])
+ pure (shift, res)
+ -- widen the register and multiply without the MUL2 instruction
+ -- if we don't need an additional add after this we can combine the shifts
+ | otherwise = pure (if sign == 0 then 0 else shift, res)
+ where
+ wordRep = wordWidth platform
+ -- (n * magic) >> widthInBits + (if sign == 0 then shift else 0) -- With conversion in between to not overflow
+ res = cmmMachOpFold platform (MO_SS_Conv wordRep rep)
+ [ cmmMachOpFold platform (MO_S_Shr wordRep)
+ [ cmmMachOpFold platform (MO_Mul wordRep)
+ [ cmmMachOpFold platform (MO_SS_Conv rep wordRep) [n]
+ , CmmLit $ CmmInt magic wordRep
+ ]
+ -- Check if we need to generate an add/subtract later. If not we can combine this with the postshift
+ , CmmLit $ CmmInt ((if sign == 0 then toInteger shift else 0) + (toInteger $ widthInBits rep)) wordRep
+ ]
+ ]
+
+-- See hackers delight for how and why this works (chapter in note [Division by constants])
+divisionMagicS :: Width -> Integer -> (Integer, Integer, Integer)
+divisionMagicS rep divisor = (magic, sign, toInteger $ p - wSz)
+ where
+ sign = if divisor > 0
+ then if magic < 0 then 1 else 0
+ else if magic < 0 then 0 else -1
+ wSz = widthInBits rep
+ ad = abs divisor
+ t = (1 `shiftL` (wSz - 1)) + if divisor > 0 then 0 else 1
+ anc = t - 1 - rem t ad
+ go p'
+ | twoP > anc * (ad - rem twoP ad) = p'
+ | otherwise = go (p' + 1)
+ where twoP = 1 `shiftL` p'
+ p = go wSz
+ am = (twoP + ad - rem twoP ad) `quot` ad
+ where twoP = 1 `shiftL` p
+ magic = narrowS rep $ if divisor > 0 then am else -am
+
+generateDivisionByUnsigned :: Platform -> CmmConfig -> Width -> CmmExpr -> Integer -> Opt CmmExpr
+-- Sanity checks, division will generate incorrect results or undesirable code for these cases
+-- cmmMachOpFoldM and cmmMachOpFoldOptM should have already handled these cases!
+generateDivisionByUnsigned _ _ _ _ 0 = panic "generate signed division with 0"
+generateDivisionByUnsigned _ _ _ _ 1 = panic "generate signed division with 1"
+generateDivisionByUnsigned _ _ _ _ d | Just _ <- exactLog2 d = panic $ "generate signed division with " ++ show d
+
+generateDivisionByUnsigned platform cfg rep n divisor = do
+ -- We only duplicate n' if we actually need to add/subtract it, so we may not need it in a register
+ n' <- if not needsAdd -- Invariant: We also never preshift if we need an add, thus we don't need n in a register
+ then pure $! cmmMachOpFold platform (MO_U_Shr rep) [n, CmmLit $ CmmInt preShift wordRep]
+ else intoRegister n resRep
+
+ -- Set up mul2
+ (postShift', qExpr) <- mul2 n'
+
+ -- add/subtract n if necessary
+ let qExpr' = if needsAdd
+ -- This is qExpr + (n - qExpr) / 2 = (qExpr + n) / 2 but with a guarantee that it'll not overflow
+ then cmmMachOpFold platform (MO_Add rep)
+ [ cmmMachOpFold platform (MO_U_Shr rep)
+ [ cmmMachOpFold platform (MO_Sub rep) [n', qExpr]
+ , CmmLit $ CmmInt 1 wordRep
+ ]
+ , qExpr
+ ]
+ else qExpr
+ -- If we already divided by 2 in the add, remember to shift one bit less
+ -- Hacker's Delight, Edition 2 Page 234: postShift > 0 if we needed an add, except if the divisor
+ -- is 1, which we checked for above
+ finalShift = if needsAdd then postShift' - 1 else postShift'
+
+ -- apply the final postShift
+ pure $! cmmMachOpFold platform (MO_U_Shr rep) [qExpr', CmmLit $ CmmInt finalShift wordRep]
+ where
+ resRep = cmmBits rep
+ wordRep = wordWidth platform
+ (preShift, magic, needsAdd, postShift) =
+ let withPre = divisionMagicU rep True divisor
+ noPre = divisionMagicU rep False divisor
+ in case (withPre, noPre) of
+ -- Use whatever does not cause us to take the expensive case
+ ((_, _, False, _), (_, _, True, _)) -> withPre
+ -- If we cannot avoid the expensive case, don't bother with the pre shift
+ _ -> noPre
+ -- generate the multiply with the magic number
+ mul2 n
+ | rep == wordWidth platform || (cmmAllowMul2 cfg && needsAdd) = do
+ (r1, r2) <- (,) <$> getUniqueM <*> getUniqueM
+ let rg1 = LocalReg r1 resRep
+ resReg = LocalReg r2 resRep
+ res <- CmmReg (CmmLocal resReg) <$ prependNode (CmmUnsafeForeignCall (PrimTarget (MO_U_Mul2 rep)) [resReg, rg1] [n, CmmLit $ CmmInt magic rep])
+ pure (postShift, res)
+ | otherwise = do
+ pure (if needsAdd then postShift else 0, res)
+ where
+ wordRep = wordWidth platform
+ -- (n * magic) >> widthInBits + (if sign == 0 then shift else 0) -- With conversion in between to not overflow
+ res = cmmMachOpFold platform (MO_UU_Conv wordRep rep)
+ [ cmmMachOpFold platform (MO_U_Shr wordRep)
+ [ cmmMachOpFold platform (MO_Mul wordRep)
+ [ cmmMachOpFold platform (MO_UU_Conv rep wordRep) [n]
+ , CmmLit $ CmmInt magic wordRep
+ ]
+ -- Check if we need to generate an add later. If not we can combine this with the postshift
+ , CmmLit $ CmmInt ((if needsAdd then 0 else postShift) + (toInteger $ widthInBits rep)) wordRep
+ ]
+ ]
+
+-- See hackers delight for how and why this works (chapter in note [Division by constants])
+-- The preshift isn't described there, but the idea is:
+-- If a divisor d has n trailing zeros, then d is a multiple of 2^n. Since we want to divide x by d
+-- we can also calculate (x / 2^n) / (d / 2^n) which may then not require an extra addition.
+--
+-- The addition performs: quotient + dividend, but we need to avoid overflows, so we actually need to
+-- calculate: quotient + (dividend - quotient) / 2 = (quotient + dividend) / 2
+-- Thus if the preshift can avoid all of this, we have 1 operation in place of 3.
+--
+-- The decision to use the preshift is made somewhere else, here we only report if the addition is needed
+divisionMagicU :: Width -> Bool -> Integer -> (Integer, Integer, Bool, Integer)
+divisionMagicU rep doPreShift divisor = (toInteger zeros, magic, needsAdd, toInteger $ p - wSz)
+ where
+ wSz = widthInBits rep
+ zeros = if doPreShift then countTrailingZeros $ fromInteger @Word64 divisor else 0
+ d = divisor `shiftR` zeros
+ ones = ((1 `shiftL` wSz) - 1) `shiftR` zeros
+ nc = ones - rem (ones - d) d
+ go p'
+ | twoP > nc * (d - 1 - rem (twoP - 1) d) = p'
+ | otherwise = go (p' + 1)
+ where twoP = 1 `shiftL` p'
+ p = go wSz
+ m = (twoP + d - 1 - rem (twoP - 1) d) `quot` d
+ where twoP = 1 `shiftL` p
+ needsAdd = d < 1 `shiftL` (p - wSz)
+ magic = if needsAdd then m - (ones + 1) else m
+
+-- -----------------------------------------------------------------------------
+-- Opt monad
+
+newtype Opt a = OptI { runOptI :: CmmConfig -> [CmmNode O O] -> UniqSM ([CmmNode O O], a) }
+
+-- | Pattern synonym for 'Opt', as described in Note [The one-shot state
+-- monad trick].
+pattern Opt :: (CmmConfig -> [CmmNode O O] -> UniqSM ([CmmNode O O], a)) -> Opt a
+pattern Opt f <- OptI f
+ where Opt f = OptI . oneShot $ \cfg -> oneShot $ \out -> f cfg out
+{-# COMPLETE Opt #-}
+
+runOpt :: CmmConfig -> Opt a -> UniqSM ([CmmNode O O], a)
+runOpt cf (Opt g) = g cf []
+
+getConfig :: Opt CmmConfig
+getConfig = Opt $ \cf xs -> pure (xs, cf)
+
+instance Functor Opt where
+ fmap f (Opt g) = Opt $ \cf xs -> fmap (fmap f) (g cf xs)
+
+instance Applicative Opt where
+ pure a = Opt $ \_ xs -> pure (xs, a)
+ ff <*> fa = do
+ f <- ff
+ f <$> fa
+
+instance Monad Opt where
+ Opt g >>= f = Opt $ \cf xs -> do
+ (ys, a) <- g cf xs
+ runOptI (f a) cf ys
+
+instance MonadUnique Opt where
+ getUniqueSupplyM = Opt $ \_ xs -> (xs,) <$> getUniqueSupplyM
+ getUniqueM = Opt $ \_ xs -> (xs,) <$> getUniqueM
+ getUniquesM = Opt $ \_ xs -> (xs,) <$> getUniquesM
+
+mapForeignTargetOpt :: (CmmExpr -> Opt CmmExpr) -> ForeignTarget -> Opt ForeignTarget
+mapForeignTargetOpt exp (ForeignTarget e c) = flip ForeignTarget c <$> exp e
+mapForeignTargetOpt _ m@(PrimTarget _) = pure m
+
+wrapRecExpOpt :: (CmmExpr -> Opt CmmExpr) -> CmmExpr -> Opt CmmExpr
+wrapRecExpOpt f (CmmMachOp op es) = traverse (wrapRecExpOpt f) es >>= f . CmmMachOp op
+wrapRecExpOpt f (CmmLoad addr ty align) = wrapRecExpOpt f addr >>= \newAddr -> f (CmmLoad newAddr ty align)
+wrapRecExpOpt f e = f e
+
+mapExpOpt :: (CmmExpr -> Opt CmmExpr) -> CmmNode e x -> Opt (CmmNode e x)
+mapExpOpt _ f@(CmmEntry{}) = pure f
+mapExpOpt _ m@(CmmComment _) = pure m
+mapExpOpt _ m@(CmmTick _) = pure m
+mapExpOpt f (CmmUnwind regs) = CmmUnwind <$> traverse (traverse (traverse f)) regs
+mapExpOpt f (CmmAssign r e) = CmmAssign r <$> f e
+mapExpOpt f (CmmStore addr e align) = CmmStore <$> f addr <*> f e <*> pure align
+mapExpOpt f (CmmUnsafeForeignCall tgt fs as) = CmmUnsafeForeignCall <$> mapForeignTargetOpt f tgt <*> pure fs <*> traverse f as
+mapExpOpt _ l@(CmmBranch _) = pure l
+mapExpOpt f (CmmCondBranch e ti fi l) = f e >>= \newE -> pure (CmmCondBranch newE ti fi l)
+mapExpOpt f (CmmSwitch e ids) = flip CmmSwitch ids <$> f e
+mapExpOpt f n@CmmCall {cml_target=tgt} = f tgt >>= \newTgt -> pure n{cml_target = newTgt}
+mapExpOpt f (CmmForeignCall tgt fs as succ ret_args updfr intrbl)
+ = do
+ newTgt <- mapForeignTargetOpt f tgt
+ newAs <- traverse f as
+ pure $ CmmForeignCall newTgt fs newAs succ ret_args updfr intrbl
diff --git a/compiler/GHC/Cmm/Pipeline.hs b/compiler/GHC/Cmm/Pipeline.hs
index 3bd48f9152ca..1828d3eed1ed 100644
--- a/compiler/GHC/Cmm/Pipeline.hs
+++ b/compiler/GHC/Cmm/Pipeline.hs
@@ -128,8 +128,11 @@ cpsTop logger platform cfg proc =
----------- Sink and inline assignments --------------------------------
g <- {-# SCC "sink" #-} -- See Note [Sinking after stack layout]
- condPass (cmmOptSink cfg) (cmmSink platform) g
- Opt_D_dump_cmm_sink "Sink assignments"
+ if cmmOptSink cfg
+ then runUniqSM $ cmmSink cfg g
+ else return g
+ dump Opt_D_dump_cmm_sink "Sink assignments" g
+
------------- CAF analysis ----------------------------------------------
let cafEnv = {-# SCC "cafAnal" #-} cafAnal platform call_pps l g
diff --git a/compiler/GHC/Cmm/Sink.hs b/compiler/GHC/Cmm/Sink.hs
index 3fb2a0ff1d94..b193f479bccb 100644
--- a/compiler/GHC/Cmm/Sink.hs
+++ b/compiler/GHC/Cmm/Sink.hs
@@ -1,5 +1,6 @@
{-# LANGUAGE GADTs #-}
{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE MultiWayIf #-}
module GHC.Cmm.Sink (
cmmSink
@@ -19,6 +20,8 @@ import GHC.Platform.Regs
import GHC.Platform
import GHC.Types.Unique.FM
+import GHC.Types.Unique.Supply
+import GHC.Cmm.Config
import qualified GHC.Data.Word64Set as Word64Set
import Data.List (partition)
@@ -150,9 +153,10 @@ type Assignments = [Assignment]
-- y = e2
-- x = e1
-cmmSink :: Platform -> CmmGraph -> CmmGraph
-cmmSink platform graph = ofBlockList (g_entry graph) $ sink mapEmpty $ blocks
+cmmSink :: CmmConfig -> CmmGraph -> UniqSM CmmGraph
+cmmSink cfg graph = ofBlockList (g_entry graph) <$> sink mapEmpty blocks
where
+ platform = cmmPlatform cfg
liveness = cmmLocalLivenessL platform graph
getLive l = mapFindWithDefault emptyLRegSet l liveness
@@ -160,11 +164,41 @@ cmmSink platform graph = ofBlockList (g_entry graph) $ sink mapEmpty $ blocks
join_pts = findJoinPoints blocks
- sink :: LabelMap Assignments -> [CmmBlock] -> [CmmBlock]
- sink _ [] = []
- sink sunk (b:bs) =
- -- pprTrace "sink" (ppr lbl) $
- blockJoin first final_middle final_last : sink sunk' bs
+ sink :: LabelMap Assignments -> [CmmBlock] -> UniqSM [CmmBlock]
+ sink _ [] = pure []
+ sink sunk (b:bs) = do
+ -- Now sink and inline in this block
+ (prepend, last_fold) <- runOpt cfg $ constantFoldNode last
+
+ (middle', assigs) <- walk cfg (ann_middles ++ annotate platform live_middle prepend) (mapFindWithDefault [] lbl sunk)
+
+ let (final_last, assigs') = tryToInline platform live last_fold assigs
+ -- Now, drop any assignments that we will not sink any further.
+ (dropped_last, assigs'') = dropAssignments platform drop_if init_live_sets assigs'
+ drop_if :: (LocalReg, CmmExpr, AbsMem)
+ -> [LRegSet] -> (Bool, [LRegSet])
+ drop_if a@(r,rhs,_) live_sets = (should_drop, live_sets')
+ where
+ should_drop = conflicts platform a final_last
+ || not (isTrivial platform rhs) && live_in_multi live_sets r
+ || r `elemLRegSet` live_in_joins
+
+ live_sets' | should_drop = live_sets
+ | otherwise = map upd live_sets
+
+ upd set | r `elemLRegSet` set = set `Word64Set.union` live_rhs
+ | otherwise = set
+
+ live_rhs = foldRegsUsed platform (flip insertLRegSet) emptyLRegSet rhs
+
+ final_middle = foldl' blockSnoc middle' dropped_last
+
+ sunk' = mapUnion sunk $
+ mapFromList [ (l, filterAssignments platform (getLive l) assigs'')
+ | l <- succs ]
+
+ (blockJoin first final_middle final_last :) <$> sink sunk' bs
+
where
lbl = entryLabel b
(first, middle, last) = blockSplit b
@@ -178,11 +212,6 @@ cmmSink platform graph = ofBlockList (g_entry graph) $ sink mapEmpty $ blocks
live_middle = gen_killL platform last live
ann_middles = annotate platform live_middle (blockToList middle)
- -- Now sink and inline in this block
- (middle', assigs) = walk platform ann_middles (mapFindWithDefault [] lbl sunk)
- fold_last = constantFoldNode platform last
- (final_last, assigs') = tryToInline platform live fold_last assigs
-
-- We cannot sink into join points (successors with more than
-- one predecessor), so identify the join points and the set
-- of registers live in them.
@@ -200,31 +229,6 @@ cmmSink platform graph = ofBlockList (g_entry graph) $ sink mapEmpty $ blocks
(_one:_two:_) -> True
_ -> False
- -- Now, drop any assignments that we will not sink any further.
- (dropped_last, assigs'') = dropAssignments platform drop_if init_live_sets assigs'
-
- drop_if :: (LocalReg, CmmExpr, AbsMem)
- -> [LRegSet] -> (Bool, [LRegSet])
- drop_if a@(r,rhs,_) live_sets = (should_drop, live_sets')
- where
- should_drop = conflicts platform a final_last
- || not (isTrivial platform rhs) && live_in_multi live_sets r
- || r `elemLRegSet` live_in_joins
-
- live_sets' | should_drop = live_sets
- | otherwise = map upd live_sets
-
- upd set | r `elemLRegSet` set = set `Word64Set.union` live_rhs
- | otherwise = set
-
- live_rhs = foldRegsUsed platform (flip insertLRegSet) emptyLRegSet rhs
-
- final_middle = foldl' blockSnoc middle' dropped_last
-
- sunk' = mapUnion sunk $
- mapFromList [ (l, filterAssignments platform (getLive l) assigs'')
- | l <- succs ]
-
{- TODO: enable this later, when we have some good tests in place to
measure the effect and tune it.
@@ -299,7 +303,7 @@ filterAssignments platform live assigs = reverse (go assigs [])
-- * a list of assignments that will be placed *after* that block.
--
-walk :: Platform
+walk :: CmmConfig
-> [(LRegSet, CmmNode O O)] -- nodes of the block, annotated with
-- the set of registers live *after*
-- this node.
@@ -309,36 +313,39 @@ walk :: Platform
-- Earlier assignments may refer
-- to later ones.
- -> ( Block CmmNode O O -- The new block
- , Assignments -- Assignments to sink further
- )
+ -> UniqSM ( Block CmmNode O O -- The new block
+ , Assignments -- Assignments to sink further
+ )
-walk platform nodes assigs = go nodes emptyBlock assigs
+walk cfg nodes assigs = go nodes emptyBlock assigs
where
- go [] block as = (block, as)
+ platform = cmmPlatform cfg
+ go [] block as = pure (block, as)
go ((live,node):ns) block as
-- discard nodes representing dead assignment
| shouldDiscard node live = go ns block as
- -- sometimes only after simplification we can tell we can discard the node.
- -- See Note [Discard simplified nodes]
- | noOpAssignment node2 = go ns block as
- -- Pick up interesting assignments
- | Just a <- shouldSink platform node2 = go ns block (a : as1)
- -- Try inlining, drop assignments and move on
- | otherwise = go ns block' as'
- where
- -- Simplify node
- node1 = constantFoldNode platform node
-
- -- Inline assignments
- (node2, as1) = tryToInline platform live node1 as
-
- -- Drop any earlier assignments conflicting with node2
- (dropped, as') = dropAssignmentsSimple platform
- (\a -> conflicts platform a node2) as1
-
- -- Walk over the rest of the block. Includes dropped assignments
- block' = foldl' blockSnoc block dropped `blockSnoc` node2
+ | otherwise = do
+ (prepend, node1) <- runOpt cfg $ constantFoldNode node
+ if not (null prepend)
+ then go (annotate platform live (prepend ++ [node1]) ++ ns) block as
+ else do
+ let -- Inline assignments
+ (node2, as1) = tryToInline platform live node1 as
+ -- Drop any earlier assignments conflicting with node2
+ (dropped, as') = dropAssignmentsSimple platform
+ (\a -> conflicts platform a node2) as1
+ -- Walk over the rest of the block. Includes dropped assignments
+ block' = foldl' blockSnoc block dropped `blockSnoc` node2
+
+ (prepend2, node3) <- runOpt cfg $ constantFoldNode node2
+ if | not (null prepend2) -> go (annotate platform live (prepend2 ++ [node3]) ++ ns) block as
+ -- sometimes only after simplification we can tell we can discard the node.
+ -- See Note [Discard simplified nodes]
+ | noOpAssignment node3 -> go ns block as
+ -- Pick up interesting assignments
+ | Just a <- shouldSink platform node3 -> go ns block (a : as1)
+ -- Try inlining, drop assignments and move on
+ | otherwise -> go ns block' as'
{- Note [Discard simplified nodes]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
@@ -519,7 +526,7 @@ tryToInline platform liveAfter node assigs =
{- Note [Keeping assignments mentioned in skipped RHSs]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
- If we have to assignments: [z = y, y = e1] and we skip
+ If we have two assignments: [z = y, y = e1] and we skip
z we *must* retain the assignment y = e1. This is because
we might inline "z = y" into another node later on so we
must ensure y is still defined at this point.
diff --git a/compiler/GHC/Driver/Config/Cmm.hs b/compiler/GHC/Driver/Config/Cmm.hs
index 0118022ab9f9..0cee96e4c3b9 100644
--- a/compiler/GHC/Driver/Config/Cmm.hs
+++ b/compiler/GHC/Driver/Config/Cmm.hs
@@ -26,9 +26,21 @@ initCmmConfig dflags = CmmConfig
, cmmSplitProcPoints = not (backendSupportsUnsplitProcPoints (backend dflags))
|| not (platformTablesNextToCode platform)
|| usingInconsistentPicReg
+ , cmmAllowMul2 = (ncg && x86ish) || llvm
+ , cmmOptConstDivision = not llvm
}
where platform = targetPlatform dflags
usingInconsistentPicReg =
case (platformArch platform, platformOS platform, positionIndependent dflags)
of (ArchX86, OSDarwin, pic) -> pic
_ -> False
+ -- Copied from StgToCmm
+ (ncg, llvm) = case backendPrimitiveImplementation (backend dflags) of
+ GenericPrimitives -> (False, False)
+ NcgPrimitives -> (True, False)
+ LlvmPrimitives -> (False, True)
+ JSPrimitives -> (False, False)
+ x86ish = case platformArch platform of
+ ArchX86 -> True
+ ArchX86_64 -> True
+ _ -> False
diff --git a/compiler/GHC/StgToCmm/Prim.hs b/compiler/GHC/StgToCmm/Prim.hs
index 90e5f24f8265..c19377de807e 100644
--- a/compiler/GHC/StgToCmm/Prim.hs
+++ b/compiler/GHC/StgToCmm/Prim.hs
@@ -1553,27 +1553,27 @@ emitPrimOp cfg primop =
DoubleToFloatOp -> \args -> opTranslate args (MO_FF_Conv W64 W32)
IntQuotRemOp -> \args -> opCallishHandledLater args $
- if allowQuotRem && not (quotRemCanBeOptimized args)
+ if allowQuotRem
then Left (MO_S_QuotRem (wordWidth platform))
else Right (genericIntQuotRemOp (wordWidth platform))
Int8QuotRemOp -> \args -> opCallishHandledLater args $
- if allowQuotRem && not (quotRemCanBeOptimized args)
+ if allowQuotRem
then Left (MO_S_QuotRem W8)
else Right (genericIntQuotRemOp W8)
Int16QuotRemOp -> \args -> opCallishHandledLater args $
- if allowQuotRem && not (quotRemCanBeOptimized args)
+ if allowQuotRem
then Left (MO_S_QuotRem W16)
else Right (genericIntQuotRemOp W16)
Int32QuotRemOp -> \args -> opCallishHandledLater args $
- if allowQuotRem && not (quotRemCanBeOptimized args)
+ if allowQuotRem
then Left (MO_S_QuotRem W32)
else Right (genericIntQuotRemOp W32)
WordQuotRemOp -> \args -> opCallishHandledLater args $
- if allowQuotRem && not (quotRemCanBeOptimized args)
+ if allowQuotRem
then Left (MO_U_QuotRem (wordWidth platform))
else Right (genericWordQuotRemOp (wordWidth platform))
@@ -1583,17 +1583,17 @@ emitPrimOp cfg primop =
else Right (genericWordQuotRem2Op platform)
Word8QuotRemOp -> \args -> opCallishHandledLater args $
- if allowQuotRem && not (quotRemCanBeOptimized args)
+ if allowQuotRem
then Left (MO_U_QuotRem W8)
else Right (genericWordQuotRemOp W8)
Word16QuotRemOp -> \args -> opCallishHandledLater args $
- if allowQuotRem && not (quotRemCanBeOptimized args)
+ if allowQuotRem
then Left (MO_U_QuotRem W16)
else Right (genericWordQuotRemOp W16)
Word32QuotRemOp -> \args -> opCallishHandledLater args $
- if allowQuotRem && not (quotRemCanBeOptimized args)
+ if allowQuotRem
then Left (MO_U_QuotRem W32)
else Right (genericWordQuotRemOp W32)
@@ -1827,23 +1827,6 @@ emitPrimOp cfg primop =
pure $ map (CmmReg . CmmLocal) regs
alwaysExternal = \_ -> PrimopCmmEmit_External
- -- Note [QuotRem optimization]
- -- ~~~~~~~~~~~~~~~~~~~~~~~~~~~
- -- `quot` and `rem` with constant divisor can be implemented with fast bit-ops
- -- (shift, .&.).
- --
- -- Currently we only support optimization (performed in GHC.Cmm.Opt) when the
- -- constant is a power of 2. #9041 tracks the implementation of the general
- -- optimization.
- --
- -- `quotRem` can be optimized in the same way. However as it returns two values,
- -- it is implemented as a "callish" primop which is harder to match and
- -- to transform later on. For simplicity, the current implementation detects cases
- -- that can be optimized (see `quotRemCanBeOptimized`) and converts STG quotRem
- -- primop into two CMM quot and rem primops.
- quotRemCanBeOptimized = \case
- [_, CmmLit (CmmInt n _) ] -> isJust (exactLog2 n)
- _ -> False
allowQuotRem = stgToCmmAllowQuotRemInstr cfg
allowQuotRem2 = stgToCmmAllowQuotRem2 cfg
diff --git a/testsuite/tests/numeric/should_run/all.T b/testsuite/tests/numeric/should_run/all.T
index dd6c42093329..6dc4c3bff9b0 100644
--- a/testsuite/tests/numeric/should_run/all.T
+++ b/testsuite/tests/numeric/should_run/all.T
@@ -83,3 +83,4 @@ test('T22282', normal, compile_and_run, [''])
test('T22671', js_fragile(24259), compile_and_run, [''])
test('foundation', [when(js_arch(), run_timeout_multiplier(2)), js_fragile(24259)], compile_and_run, ['-O -package transformers'])
test('T24066', normal, compile_and_run, [''])
+test('div01', normal, compile_and_run, [''])
diff --git a/testsuite/tests/numeric/should_run/div01.hs b/testsuite/tests/numeric/should_run/div01.hs
new file mode 100644
index 000000000000..cc1acfd77819
--- /dev/null
+++ b/testsuite/tests/numeric/should_run/div01.hs
@@ -0,0 +1,109 @@
+-- !!! Testing Int and Word and specifically integer division by constants
+module Main(main) where
+
+import Data.Int
+import Data.Word
+import Control.Monad (when, void)
+import Data.Bits (Bits, isSigned)
+
+main :: IO ()
+main = test
+
+test :: IO ()
+test = do
+ testIntlike "Int" (0::Int )
+ testIntlike "Int8" (0::Int8 )
+ testIntlike "Int16" (0::Int16)
+ testIntlike "Int32" (0::Int32)
+ testIntlike "Int64" (0::Int64)
+
+ testIntlike "Word" (0::Word )
+ testIntlike "Word8" (0::Word8 )
+ testIntlike "Word16" (0::Word16)
+ testIntlike "Word32" (0::Word32)
+ testIntlike "Word64" (0::Word64)
+
+testIntlike :: (Bounded a, Integral a, Show a, Bits a) => String -> a -> IO ()
+testIntlike name zero = do
+ putStrLn $ "--------------------------------"
+ putStrLn $ "--Testing " ++ name
+ putStrLn $ "--------------------------------"
+ -- 1
+ putStrLn "divide by 1"
+ testWith (1 `asTypeOf` zero)
+
+ -- Powers of 2
+ putStrLn "divide by 2"
+ testWith (2 `asTypeOf` zero)
+ putStrLn "divide by 4"
+ testWith (4 `asTypeOf` zero)
+ -- Positive constants
+ putStrLn "divide by 3"
+ testWith (3 `asTypeOf` zero)
+ putStrLn "divide by 5"
+ testWith (5 `asTypeOf` zero)
+ putStrLn "divide by 7"
+ testWith (7 `asTypeOf` zero)
+ putStrLn "divide by 14"
+ testWith (14 `asTypeOf` zero)
+ putStrLn "divide by 25"
+ testWith (25 `asTypeOf` zero)
+ putStrLn "divide by maxBound"
+ testWith (maxBound `asTypeOf` zero)
+ putStrLn "divide by (maxBound - 1)"
+ testWith ((maxBound - 1) `asTypeOf` zero)
+
+ when (isSigned zero) $ do
+ -- (-1)
+ putStrLn "divide by -1"
+ testWith ((-1) `asTypeOf` zero)
+
+ -- Negative powers of 2
+ putStrLn "divide by -2"
+ testWith ((-2) `asTypeOf` zero)
+ putStrLn "divide by -4"
+ testWith ((-4) `asTypeOf` zero)
+
+ -- Negative constants
+ putStrLn "divide by -3"
+ testWith ((-3) `asTypeOf` zero)
+ putStrLn "divide by -5"
+ testWith ((-5) `asTypeOf` zero)
+ putStrLn "divide by -7"
+ testWith ((-7) `asTypeOf` zero)
+ putStrLn "divide by -14"
+ testWith ((-14) `asTypeOf` zero)
+ putStrLn "divide by -25"
+ testWith ((-25) `asTypeOf` zero)
+
+ -- minBound
+ putStrLn "divide by minBound"
+ testWith (minBound `asTypeOf` zero)
+ putStrLn "divide by (minBound + 1)"
+ testWith ((minBound + 1) `asTypeOf` zero)
+ where
+ testWith d = void $ traverse qr (samples d)
+ where
+ qr x = do
+ print x
+ print $ x `quotRem` d
+ print $ x `quot` d
+ print $ x `rem` d
+ putStrLn "#"
+ {-# INLINE qr #-}
+ {-# INLINE testWith #-}
+ samples d =
+ [maxBound]
+ ++ plusMinusOne 0
+ -- avoid quot minBound
+ -- ghc defines quot minBound (-1) = error and has overflow on quot<Int<N>># as undefined behavior
+ ++ (if d == (-1) then [] else plusMinusOne largest)
+ ++ plusMinusOne large
+ ++ plusMinusOne small
+ ++ plusMinusOne smallest
+ where
+ plusMinusOne x = [x - 1, x, x + 1]
+ largest = d * (maxBound `quot` d)
+ large = d * ((maxBound `quot` 2) `quot` d)
+ small = d * 4
+ smallest = d
diff --git a/testsuite/tests/numeric/should_run/div01.stdout b/testsuite/tests/numeric/should_run/div01.stdout
new file mode 100644
index 000000000000..1c71891d5199
--- /dev/null
+++ b/testsuite/tests/numeric/should_run/div01.stdout
@@ -0,0 +1,12030 @@
+--------------------------------
+--Testing Int
+--------------------------------
+divide by 1
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+--------------------------------
+--Testing Int8
+--------------------------------
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+1
+#
+61
+(-30,1)
+-30
+1
+#
+62
+(-31,0)
+-31
+0
+#
+63
+(-31,1)
+-31
+1
+#
+-9
+(4,-1)
+4
+-1
+#
+-8
+(4,0)
+4
+0
+#
+-7
+(3,-1)
+3
+-1
+#
+-3
+(1,-1)
+1
+-1
+#
+-2
+(1,0)
+1
+0
+#
+-1
+(0,-1)
+0
+-1
+#
+divide by -4
+127
+(-31,3)
+-31
+3
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+123
+(-30,3)
+-30
+3
+#
+124
+(-31,0)
+-31
+0
+#
+125
+(-31,1)
+-31
+1
+#
+59
+(-14,3)
+-14
+3
+#
+60
+(-15,0)
+-15
+0
+#
+61
+(-15,1)
+-15
+1
+#
+-17
+(4,-1)
+4
+-1
+#
+-16
+(4,0)
+4
+0
+#
+-15
+(3,-3)
+3
+-3
+#
+-5
+(1,-1)
+1
+-1
+#
+-4
+(1,0)
+1
+0
+#
+-3
+(0,-3)
+0
+-3
+#
+divide by -3
+127
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+-42
+1
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+125
+(-41,2)
+-41
+2
+#
+126
+(-42,0)
+-42
+0
+#
+127
+(-42,1)
+-42
+1
+#
+62
+(-20,2)
+-20
+2
+#
+63
+(-21,0)
+-21
+0
+#
+64
+(-21,1)
+-21
+1
+#
+-13
+(4,-1)
+4
+-1
+#
+-12
+(4,0)
+4
+0
+#
+-11
+(3,-2)
+3
+-2
+#
+-4
+(1,-1)
+1
+-1
+#
+-3
+(1,0)
+1
+0
+#
+-2
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+0
+-2
+#
+divide by -5
+127
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+-25
+2
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+124
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+-24
+4
+#
+125
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+-25
+0
+#
+126
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+-25
+1
+#
+59
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+-11
+4
+#
+60
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+-12
+0
+#
+61
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+-12
+1
+#
+-21
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+4
+-1
+#
+-20
+(4,0)
+4
+0
+#
+-19
+(3,-4)
+3
+-4
+#
+-6
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+1
+-1
+#
+-5
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+1
+0
+#
+-4
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+0
+-4
+#
+divide by -7
+127
+(-18,1)
+-18
+1
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+125
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+-17
+6
+#
+126
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+-18
+0
+#
+127
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+-18
+1
+#
+62
+(-8,6)
+-8
+6
+#
+63
+(-9,0)
+-9
+0
+#
+64
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+-9
+1
+#
+-29
+(4,-1)
+4
+-1
+#
+-28
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+4
+0
+#
+-27
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+3
+-6
+#
+-8
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+1
+-1
+#
+-7
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+0
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+-6
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+0
+-6
+#
+divide by -14
+127
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+-9
+1
+#
+-1
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+0
+-1
+#
+0
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+0
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+125
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+-8
+13
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+126
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+-9
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+127
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+-9
+1
+#
+55
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+-3
+13
+#
+56
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+-4
+0
+#
+57
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+-4
+1
+#
+-57
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+4
+-1
+#
+-56
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+4
+0
+#
+-55
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+3
+-13
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+-15
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+1
+-1
+#
+-14
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+1
+0
+#
+-13
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+0
+-13
+#
+divide by -25
+127
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+-5
+2
+#
+-1
+(0,-1)
+0
+-1
+#
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+0
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+-4
+24
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+125
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+-5
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+#
+126
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+-5
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+#
+49
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+-1
+24
+#
+50
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+-2
+0
+#
+51
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+-2
+1
+#
+-101
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+4
+-1
+#
+-100
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+4
+0
+#
+-99
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+3
+-24
+#
+-26
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+1
+-1
+#
+-25
+(1,0)
+1
+0
+#
+-24
+(0,-24)
+0
+-24
+#
+divide by minBound
+127
+(0,127)
+0
+127
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
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+0
+1
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+-1
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+0
+-1
+#
+0
+(0,0)
+0
+0
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+1
+(0,1)
+0
+1
+#
+-1
+(0,-1)
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+-1
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+0
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+1
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+#
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+127
+#
+-128
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+1
+0
+#
+-127
+(0,-127)
+0
+-127
+#
+divide by (minBound + 1)
+127
+(-1,0)
+-1
+0
+#
+-1
+(0,-1)
+0
+-1
+#
+0
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+0
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+#
+1
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+1
+#
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+126
+#
+127
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+-1
+0
+#
+-128
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+1
+-1
+#
+-1
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+0
+-1
+#
+0
+(0,0)
+0
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+#
+1
+(0,1)
+0
+1
+#
+3
+(0,3)
+0
+3
+#
+4
+(0,4)
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+4
+#
+5
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+0
+5
+#
+-128
+(1,-1)
+1
+-1
+#
+-127
+(1,0)
+1
+0
+#
+-126
+(0,-126)
+0
+-126
+#
+--------------------------------
+--Testing Int16
+--------------------------------
+divide by 1
+32767
+(32767,0)
+32767
+0
+#
+-1
+(-1,0)
+-1
+0
+#
+0
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+-32768
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+3
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+3
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+4
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+4
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+5
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+5
+0
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+0
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+0
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+1
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+#
+2
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+0
+#
+divide by 2
+32767
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+1
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+-1
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+-1
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+1
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+2
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+#
+3
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+#
+divide by 4
+32767
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+-1
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+-1
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+32763
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+#
+32764
+(8191,0)
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+#
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+16379
+(4094,3)
+4094
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+#
+16380
+(4095,0)
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+16381
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+15
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+16
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+17
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+3
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+#
+divide by 3
+32767
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+-1
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+-1
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+16382
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+11
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+12
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+4
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+#
+divide by 5
+32767
+(6553,2)
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+-1
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+#
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+(6553,0)
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+16379
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+16380
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+19
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+21
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+6
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+divide by 7
+32767
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+-1
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+32766
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+-32768
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+16379
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+16380
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+27
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+divide by 14
+32767
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+#
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+divide by 25
+32767
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+-1
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+26
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+#
+divide by maxBound
+32767
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+-1
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+#
+divide by (maxBound - 1)
+32767
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+divide by -1
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+divide by -2
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+#
+divide by -4
+32767
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+-8191
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+32763
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+-8190
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+#
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+#
+16379
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+-4094
+3
+#
+16380
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+0
+#
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+-17
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+4
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+-15
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+-5
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+-3
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+-1
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+2
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+-13
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+-11
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+0
+-32766
+#
+--------------------------------
+--Testing Int32
+--------------------------------
+divide by 1
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+divide by 7
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+divide by maxBound
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+divide by (maxBound - 1)
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+divide by -2
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+--------------------------------
+--Testing Int64
+--------------------------------
+divide by 1
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+--------------------------------
+--Testing Word
+--------------------------------
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+--------------------------------
+--Testing Word8
+--------------------------------
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+#
+--------------------------------
+--Testing Word16
+--------------------------------
+divide by 1
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+#
+32764
+(6552,4)
+6552
+4
+#
+32765
+(6553,0)
+6553
+0
+#
+32766
+(6553,1)
+6553
+1
+#
+19
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+3
+4
+#
+20
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+4
+0
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+21
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+4
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+4
+(0,4)
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+4
+#
+5
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+1
+0
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+6
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+1
+1
+#
+divide by 7
+65535
+(9362,1)
+9362
+1
+#
+65535
+(9362,1)
+9362
+1
+#
+0
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+0
+0
+#
+1
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+#
+65533
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+#
+65534
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+65535
+(9362,1)
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+32766
+(4680,6)
+4680
+6
+#
+32767
+(4681,0)
+4681
+0
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+32768
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+divide by 14
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+65535
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+32759
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+#
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+32761
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+55
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+divide by 25
+65535
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+65535
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+#
+65525
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+65526
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+divide by (maxBound - 1)
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+#
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+#
+65535
+(1,1)
+1
+1
+#
+--------------------------------
+--Testing Word32
+--------------------------------
+divide by 1
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+divide by 4
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+divide by 3
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+divide by 5
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+divide by 14
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+divide by 25
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+divide by maxBound
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+divide by (maxBound - 1)
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+#
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+#
+4294967295
+(1,1)
+1
+1
+#
+--------------------------------
+--Testing Word64
+--------------------------------
+divide by 1
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+(18446744073709551615,0)
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+divide by 2
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+divide by 4
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+#
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+(3,3)
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+#
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diff --git a/testsuite/tests/numeric/should_run/div01.stdout-ws-32 b/testsuite/tests/numeric/should_run/div01.stdout-ws-32
new file mode 100644
index 000000000000..c39364f5e74e
--- /dev/null
+++ b/testsuite/tests/numeric/should_run/div01.stdout-ws-32
@@ -0,0 +1,12030 @@
+--------------------------------
+--Testing Int
+--------------------------------
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+-29
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+0
+-2147483646
+#
+--------------------------------
+--Testing Int8
+--------------------------------
+divide by 1
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+divide by 25
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+divide by maxBound
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+1
+1
+#
+divide by -1
+127
+(-127,0)
+-127
+0
+#
+-1
+(1,0)
+1
+0
+#
+0
+(0,0)
+0
+0
+#
+1
+(-1,0)
+-1
+0
+#
+62
+(-62,0)
+-62
+0
+#
+63
+(-63,0)
+-63
+0
+#
+64
+(-64,0)
+-64
+0
+#
+-5
+(5,0)
+5
+0
+#
+-4
+(4,0)
+4
+0
+#
+-3
+(3,0)
+3
+0
+#
+-2
+(2,0)
+2
+0
+#
+-1
+(1,0)
+1
+0
+#
+0
+(0,0)
+0
+0
+#
+divide by -2
+127
+(-63,1)
+-63
+1
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+125
+(-62,1)
+-62
+1
+#
+126
+(-63,0)
+-63
+0
+#
+127
+(-63,1)
+-63
+1
+#
+61
+(-30,1)
+-30
+1
+#
+62
+(-31,0)
+-31
+0
+#
+63
+(-31,1)
+-31
+1
+#
+-9
+(4,-1)
+4
+-1
+#
+-8
+(4,0)
+4
+0
+#
+-7
+(3,-1)
+3
+-1
+#
+-3
+(1,-1)
+1
+-1
+#
+-2
+(1,0)
+1
+0
+#
+-1
+(0,-1)
+0
+-1
+#
+divide by -4
+127
+(-31,3)
+-31
+3
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+123
+(-30,3)
+-30
+3
+#
+124
+(-31,0)
+-31
+0
+#
+125
+(-31,1)
+-31
+1
+#
+59
+(-14,3)
+-14
+3
+#
+60
+(-15,0)
+-15
+0
+#
+61
+(-15,1)
+-15
+1
+#
+-17
+(4,-1)
+4
+-1
+#
+-16
+(4,0)
+4
+0
+#
+-15
+(3,-3)
+3
+-3
+#
+-5
+(1,-1)
+1
+-1
+#
+-4
+(1,0)
+1
+0
+#
+-3
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+0
+-3
+#
+divide by -3
+127
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+-42
+1
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+125
+(-41,2)
+-41
+2
+#
+126
+(-42,0)
+-42
+0
+#
+127
+(-42,1)
+-42
+1
+#
+62
+(-20,2)
+-20
+2
+#
+63
+(-21,0)
+-21
+0
+#
+64
+(-21,1)
+-21
+1
+#
+-13
+(4,-1)
+4
+-1
+#
+-12
+(4,0)
+4
+0
+#
+-11
+(3,-2)
+3
+-2
+#
+-4
+(1,-1)
+1
+-1
+#
+-3
+(1,0)
+1
+0
+#
+-2
+(0,-2)
+0
+-2
+#
+divide by -5
+127
+(-25,2)
+-25
+2
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+124
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+-24
+4
+#
+125
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+-25
+0
+#
+126
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+-25
+1
+#
+59
+(-11,4)
+-11
+4
+#
+60
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+-12
+0
+#
+61
+(-12,1)
+-12
+1
+#
+-21
+(4,-1)
+4
+-1
+#
+-20
+(4,0)
+4
+0
+#
+-19
+(3,-4)
+3
+-4
+#
+-6
+(1,-1)
+1
+-1
+#
+-5
+(1,0)
+1
+0
+#
+-4
+(0,-4)
+0
+-4
+#
+divide by -7
+127
+(-18,1)
+-18
+1
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+125
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+-17
+6
+#
+126
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+-18
+0
+#
+127
+(-18,1)
+-18
+1
+#
+62
+(-8,6)
+-8
+6
+#
+63
+(-9,0)
+-9
+0
+#
+64
+(-9,1)
+-9
+1
+#
+-29
+(4,-1)
+4
+-1
+#
+-28
+(4,0)
+4
+0
+#
+-27
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+3
+-6
+#
+-8
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+1
+-1
+#
+-7
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+1
+0
+#
+-6
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+0
+-6
+#
+divide by -14
+127
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+-9
+1
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
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+1
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+0
+1
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+125
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+-8
+13
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+126
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+-9
+0
+#
+127
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+-9
+1
+#
+55
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+-3
+13
+#
+56
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+-4
+0
+#
+57
+(-4,1)
+-4
+1
+#
+-57
+(4,-1)
+4
+-1
+#
+-56
+(4,0)
+4
+0
+#
+-55
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+3
+-13
+#
+-15
+(1,-1)
+1
+-1
+#
+-14
+(1,0)
+1
+0
+#
+-13
+(0,-13)
+0
+-13
+#
+divide by -25
+127
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+-5
+2
+#
+-1
+(0,-1)
+0
+-1
+#
+0
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+0
+0
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+1
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+0
+1
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+124
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+-4
+24
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+125
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+-5
+0
+#
+126
+(-5,1)
+-5
+1
+#
+49
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+-1
+24
+#
+50
+(-2,0)
+-2
+0
+#
+51
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+-2
+1
+#
+-101
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+4
+-1
+#
+-100
+(4,0)
+4
+0
+#
+-99
+(3,-24)
+3
+-24
+#
+-26
+(1,-1)
+1
+-1
+#
+-25
+(1,0)
+1
+0
+#
+-24
+(0,-24)
+0
+-24
+#
+divide by minBound
+127
+(0,127)
+0
+127
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+-1
+(0,-1)
+0
+-1
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+0
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+0
+0
+#
+1
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+0
+1
+#
+127
+(0,127)
+0
+127
+#
+-128
+(1,0)
+1
+0
+#
+-127
+(0,-127)
+0
+-127
+#
+divide by (minBound + 1)
+127
+(-1,0)
+-1
+0
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
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+1
+(0,1)
+0
+1
+#
+126
+(0,126)
+0
+126
+#
+127
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+-1
+0
+#
+-128
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+1
+-1
+#
+-1
+(0,-1)
+0
+-1
+#
+0
+(0,0)
+0
+0
+#
+1
+(0,1)
+0
+1
+#
+3
+(0,3)
+0
+3
+#
+4
+(0,4)
+0
+4
+#
+5
+(0,5)
+0
+5
+#
+-128
+(1,-1)
+1
+-1
+#
+-127
+(1,0)
+1
+0
+#
+-126
+(0,-126)
+0
+-126
+#
+--------------------------------
+--Testing Int16
+--------------------------------
+divide by 1
+32767
+(32767,0)
+32767
+0
+#
+-1
+(-1,0)
+-1
+0
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+0
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+32766
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+-32768
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+16383
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+3
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+3
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+4
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+4
+0
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+5
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+5
+0
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+0
+(0,0)
+0
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+1
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+0
+#
+2
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+0
+#
+divide by 2
+32767
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+1
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+-1
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+-1
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+16381
+(8190,1)
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+(8191,0)
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+(8191,1)
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+9
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+1
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+2
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+3
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+divide by 4
+32767
+(8191,3)
+8191
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+-1
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+-1
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+32763
+(8190,3)
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+#
+32764
+(8191,0)
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+32765
+(8191,1)
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+16379
+(4094,3)
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+16380
+(4095,0)
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+16381
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+15
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+17
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+3
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+divide by 3
+32767
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+-1
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+11
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+4
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+divide by 5
+32767
+(6553,2)
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+-1
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+16379
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+16380
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+19
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+6
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+divide by 7
+32767
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+-1
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+32766
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+-32768
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+16379
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+16380
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+27
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+7
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+8
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+divide by 14
+32767
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+-1
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+32759
+(2339,13)
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+#
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+16379
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+#
+16380
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+57
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+divide by 25
+32767
+(1310,17)
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+-1
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+16375
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+26
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+#
+divide by maxBound
+32767
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+-1
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+-32768
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+#
+divide by (maxBound - 1)
+32767
+(1,1)
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+divide by -1
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+divide by -2
+32767
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+32765
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+-32766
+#
+--------------------------------
+--Testing Int32
+--------------------------------
+divide by 1
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+divide by (maxBound - 1)
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+--------------------------------
+--Testing Int64
+--------------------------------
+divide by 1
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+--------------------------------
+--Testing Word
+--------------------------------
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+1
+#
+--------------------------------
+--Testing Word8
+--------------------------------
+divide by 1
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+1
+1
+#
+--------------------------------
+--Testing Word16
+--------------------------------
+divide by 1
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+divide by 3
+65535
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+divide by 5
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+#
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+divide by 7
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+65533
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+#
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+9362
+0
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+(9362,1)
+9362
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+32766
+(4680,6)
+4680
+6
+#
+32767
+(4681,0)
+4681
+0
+#
+32768
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+65535
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+32759
+(2339,13)
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+#
+32760
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+32761
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+55
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+15
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+#
+65525
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+32750
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+divide by maxBound
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+divide by (maxBound - 1)
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+#
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+(1,1)
+1
+1
+#
+--------------------------------
+--Testing Word32
+--------------------------------
+divide by 1
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+divide by 14
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+divide by maxBound
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+divide by (maxBound - 1)
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+#
+4294967295
+(1,1)
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+1
+#
+--------------------------------
+--Testing Word64
+--------------------------------
+divide by 1
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+divide by 2
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+divide by 4
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+divide by 3
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diff --git a/testsuite/tests/numeric/should_run/mul2.hs b/testsuite/tests/numeric/should_run/mul2.hs
index 474e421b40cd..59030d3e4a35 100644
--- a/testsuite/tests/numeric/should_run/mul2.hs
+++ b/testsuite/tests/numeric/should_run/mul2.hs
@@ -1,7 +1,7 @@
{-# LANGUAGE MagicHash, UnboxedTuples #-}
-
import GHC.Exts
+import GHC.Int
import GHC.Word
import Data.Bits
@@ -9,6 +9,9 @@ main :: IO ()
main = do f 5 6
f 0xFD94E3B7FE36FB18 49
f 0xFD94E3B7FE36FB18 0xFC1D8A3BFB29FC6A
+ g 5 6
+ g 0xFD94E3B7FE36FB18 49
+ g 0xFD94E3B7FE36FB18 0xFC1D8A3BFB29FC6A
f :: Word -> Word -> IO ()
f wx@(W# x) wy@(W# y)
@@ -23,4 +26,20 @@ f wx@(W# x) wy@(W# y)
putStrLn ("High: " ++ show wh)
putStrLn ("Low: " ++ show wl)
putStrLn ("Result: " ++ show (r :: Integer))
+{-# INLINE f #-}
+g :: Int -> Int -> IO ()
+g ix@(I# x) iy@(I# y)
+ = do putStrLn "-----"
+ putStrLn ("Doing " ++ show ix ++ " * " ++ show iy)
+ case x `timesInt2#` y of
+ (# needsHigh, h, l #) ->
+ do let ih = I# h
+ il = I# l
+ r = shiftL (fromIntegral ih) (bitSize ih)
+ .|. (fromIntegral @Word @Integer $ fromIntegral @Int @Word il)
+ putStrLn ("Needs high: " ++ show (isTrue# needsHigh))
+ putStrLn ("High: " ++ show ih)
+ putStrLn ("Low: " ++ show il)
+ putStrLn ("Result: " ++ show (r :: Integer))
+{-# INLINE g #-}
diff --git a/testsuite/tests/numeric/should_run/mul2.stdout b/testsuite/tests/numeric/should_run/mul2.stdout
index 1a5107c9c7e2..b6730bc7c74b 100644
--- a/testsuite/tests/numeric/should_run/mul2.stdout
+++ b/testsuite/tests/numeric/should_run/mul2.stdout
@@ -13,3 +13,21 @@ Doing 18272479967532481304 * 18166828462103985258
High: 17995208684035254268
Low: 13422369508946319344
Result: 331953009147393985806713771139776616432
+-----
+Doing 5 * 6
+Needs high: False
+High: 0
+Low: 30
+Result: 30
+-----
+Doing -174264106177070312 * 49
+Needs high: False
+High: -1
+Low: -8538941202676445288
+Result: -8538941202676445288
+-----
+Doing -174264106177070312 * -279915611605566358
+Needs high: True
+High: 2644328108339322
+Low: -5024374564763232272
+Result: 48779243861451990681214403947763696
diff --git a/testsuite/tests/numeric/should_run/mul2.stdout-ws-32 b/testsuite/tests/numeric/should_run/mul2.stdout-ws-32
index 78b06d5c1b3c..23f0efdaa93e 100644
--- a/testsuite/tests/numeric/should_run/mul2.stdout-ws-32
+++ b/testsuite/tests/numeric/should_run/mul2.stdout-ws-32
@@ -13,3 +13,21 @@ Doing 4265016088 * 4213832810
High: 4184447398
Low: 549951472
Result: 17972064726792247280
+-----
+Doing 5 * 6
+Needs high: False
+High: 0
+Low: 30
+Result: 30
+-----
+Doing -29951208 * 49
+Needs high: False
+High: -1
+Low: -1467609192
+Result: -1467609192
+-----
+Doing -29951208 * -81134486
+Needs high: True
+High: 565796
+Low: 549951472
+Result: 2430075866159088
--
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