diff --git a/compiler/GHC/StgToCmm/Prim.hs b/compiler/GHC/StgToCmm/Prim.hs index 0b5c3ef9f9f96268c39aaae078b72a9a8f0f6993..495f8b181b79da3b754d50161383ab468c5d02ec 100644 --- a/compiler/GHC/StgToCmm/Prim.hs +++ b/compiler/GHC/StgToCmm/Prim.hs @@ -1894,53 +1894,179 @@ genericWordQuotRemOp width [res_q, res_r] [arg_x, arg_y] (CmmMachOp (MO_U_Rem width) [arg_x, arg_y]) genericWordQuotRemOp _ _ _ = panic "genericWordQuotRemOp" +-- Based on the algorithm from LLVM's compiler-rt: +-- https://github.com/llvm/llvm-project/blob/7339f7ba3053db7595ece1ca5f49bd2e4c3c8305/compiler-rt/lib/builtins/udivmodti4.c#L23 +-- See that file for licensing and copyright. genericWordQuotRem2Op :: Platform -> GenericOp -genericWordQuotRem2Op platform [res_q, res_r] [arg_x_high, arg_x_low, arg_y] - = emit =<< f (widthInBits (wordWidth platform)) zero arg_x_high arg_x_low - where ty = cmmExprType platform arg_x_high - shl x i = CmmMachOp (MO_Shl (wordWidth platform)) [x, i] - shr x i = CmmMachOp (MO_U_Shr (wordWidth platform)) [x, i] - or x y = CmmMachOp (MO_Or (wordWidth platform)) [x, y] - ge x y = CmmMachOp (MO_U_Ge (wordWidth platform)) [x, y] - ne x y = CmmMachOp (MO_Ne (wordWidth platform)) [x, y] - minus x y = CmmMachOp (MO_Sub (wordWidth platform)) [x, y] - times x y = CmmMachOp (MO_Mul (wordWidth platform)) [x, y] - zero = lit 0 - one = lit 1 - negone = lit (fromIntegral (platformWordSizeInBits platform) - 1) - lit i = CmmLit (CmmInt i (wordWidth platform)) - - f :: Int -> CmmExpr -> CmmExpr -> CmmExpr -> FCode CmmAGraph - f 0 acc high _ = return (mkAssign (CmmLocal res_q) acc <*> - mkAssign (CmmLocal res_r) high) - f i acc high low = - do roverflowedBit <- newTemp ty - rhigh' <- newTemp ty - rhigh'' <- newTemp ty - rlow' <- newTemp ty - risge <- newTemp ty - racc' <- newTemp ty - let high' = CmmReg (CmmLocal rhigh') - isge = CmmReg (CmmLocal risge) - overflowedBit = CmmReg (CmmLocal roverflowedBit) - let this = catAGraphs - [mkAssign (CmmLocal roverflowedBit) - (shr high negone), - mkAssign (CmmLocal rhigh') - (or (shl high one) (shr low negone)), - mkAssign (CmmLocal rlow') - (shl low one), - mkAssign (CmmLocal risge) - (or (overflowedBit `ne` zero) - (high' `ge` arg_y)), - mkAssign (CmmLocal rhigh'') - (high' `minus` (arg_y `times` isge)), - mkAssign (CmmLocal racc') - (or (shl acc one) isge)] - rest <- f (i - 1) (CmmReg (CmmLocal racc')) - (CmmReg (CmmLocal rhigh'')) - (CmmReg (CmmLocal rlow')) - return (this <*> rest) +genericWordQuotRem2Op platform [res_q, res_r] [arg_u1, arg_u0, arg_v] + = do + -- v gets modified below based on clz v + v <- newTemp ty + emit $ mkAssign (CmmLocal v) arg_v + go arg_u1 arg_u0 v + where ty = cmmExprType platform arg_u1 + shl x i = CmmMachOp (MO_Shl (wordWidth platform)) [x, i] + shr x i = CmmMachOp (MO_U_Shr (wordWidth platform)) [x, i] + or x y = CmmMachOp (MO_Or (wordWidth platform)) [x, y] + ge x y = CmmMachOp (MO_U_Ge (wordWidth platform)) [x, y] + le x y = CmmMachOp (MO_U_Le (wordWidth platform)) [x, y] + eq x y = CmmMachOp (MO_Eq (wordWidth platform)) [x, y] + plus x y = CmmMachOp (MO_Add (wordWidth platform)) [x, y] + minus x y = CmmMachOp (MO_Sub (wordWidth platform)) [x, y] + times x y = CmmMachOp (MO_Mul (wordWidth platform)) [x, y] + udiv x y = CmmMachOp (MO_U_Quot (wordWidth platform)) [x, y] + and x y = CmmMachOp (MO_And (wordWidth platform)) [x, y] + lit i = CmmLit (CmmInt i (wordWidth platform)) + one = lit 1 + zero = lit 0 + masklow = lit ((1 `shiftL` (platformWordSizeInBits platform `div` 2)) - 1) + gotoIf pred target = emit =<< mkCmmIfGoto pred target + mkTmp ty = do + t <- newTemp ty + pure (t, CmmReg (CmmLocal t)) + infixr 8 .= + r .= e = emit $ mkAssign (CmmLocal r) e + + go :: CmmActual -> CmmActual -> LocalReg -> FCode () + go u1 u0 v = do + -- Computes (ret,r) = (u1<<WORDSIZE*8+u0) `divMod` v + -- du_int udiv128by64to64default(du_int u1, du_int u0, du_int v, du_int *r) + -- const unsigned n_udword_bits = sizeof(du_int) * CHAR_BIT; + let n_udword_bits' = widthInBits (wordWidth platform) + n_udword_bits = fromIntegral n_udword_bits' + -- const du_int b = (1ULL << (n_udword_bits / 2)); // Number base (32 bits) + b = 1 `shiftL` (n_udword_bits' `div` 2) + v' = CmmReg (CmmLocal v) + -- du_int un1, un0; // Norm. dividend LSD's + (un1, un1') <- mkTmp ty + (un0, un0') <- mkTmp ty + -- du_int vn1, vn0; // Norm. divisor digits + (vn1, vn1') <- mkTmp ty + (vn0, vn0') <- mkTmp ty + -- du_int q1, q0; // Quotient digits + (q1, q1') <- mkTmp ty + (q0, q0') <- mkTmp ty + -- du_int un64, un21, un10; // Dividend digit pairs + (un64, un64') <- mkTmp ty + (un21, un21') <- mkTmp ty + (un10, un10') <- mkTmp ty + + -- du_int rhat; // A remainder + (rhat, rhat') <- mkTmp ty + -- si_int s; // Shift amount for normalization + (s, s') <- mkTmp ty + + -- s = __builtin_clzll(v); + -- clz(0) in GHC returns N on N bit systems, whereas + -- __builtin_clzll returns 0 (or is undefined) + emitClzCall s v' (wordWidth platform) + + if_else <- newBlockId + if_done <- newBlockId + -- if (s > 0) { + -- actually if (s > 0 && s /= wordSizeInBits) { + gotoIf (s' `eq` zero) if_else + gotoIf (s' `eq` lit n_udword_bits) if_else + do + -- // Normalize the divisor. + -- v = v << s; + v .= shl v' s' + -- un64 = (u1 << s) | (u0 >> (n_udword_bits - s)); + un64 .= (u1 `shl` s') `or` (u0 `shr` (lit n_udword_bits `minus` s')) + -- un10 = u0 << s; // Shift dividend left + un10 .= shl u0 s' + emit $ mkBranch if_done + -- } else { + do + -- // Avoid undefined behavior of (u0 >> 64). + emitLabel if_else + -- un64 = u1; + un64 .= u1 + -- un10 = u0; + un10 .= u0 + s .= lit 0 -- Otherwise leads to >>/<< 64 + -- } + emitLabel if_done + + -- // Break divisor up into two 32-bit digits. + -- vn1 = v >> (n_udword_bits / 2); + vn1 .= v' `shr` lit (n_udword_bits `div` 2) + -- vn0 = v & 0xFFFFFFFF; + vn0 .= v' `and` masklow + + -- // Break right half of dividend into two digits. + -- un1 = un10 >> (n_udword_bits / 2); + un1 .= un10' `shr` lit (n_udword_bits `div` 2) + -- un0 = un10 & 0xFFFFFFFF; + un0 .= un10' `and` masklow + + -- // Compute the first quotient digit, q1. + -- q1 = un64 / vn1; + q1 .= un64' `udiv` vn1' + -- rhat = un64 - q1 * vn1; + rhat .= un64' `minus` times q1' vn1' + + while_1_entry <- newBlockId + while_1_body <- newBlockId + while_1_done <- newBlockId + -- // q1 has at most error 2. No more than 2 iterations. + -- while (q1 >= b || q1 * vn0 > b * rhat + un1) { + emitLabel while_1_entry + gotoIf (q1' `ge` lit b) while_1_body + gotoIf (le (times q1' vn0') + (times (lit b) rhat' `plus` un1')) + while_1_done + do + emitLabel while_1_body + -- q1 = q1 - 1; + q1 .= q1' `minus` one + -- rhat = rhat + vn1; + rhat .= rhat' `plus` vn1' + -- if (rhat >= b) + -- break; + gotoIf (rhat' `ge` lit b) + while_1_done + emit $ mkBranch while_1_entry + -- } + emitLabel while_1_done + + -- un21 = un64 * b + un1 - q1 * v; + un21 .= (times un64' (lit b) `plus` un1') `minus` times q1' v' + + -- // Compute the second quotient digit. + -- q0 = un21 / vn1; + q0 .= un21' `udiv` vn1' + -- rhat = un21 - q0 * vn1; + rhat .= un21' `minus` times q0' vn1' + + -- // q0 has at most error 2. No more than 2 iterations. + while_2_entry <- newBlockId + while_2_body <- newBlockId + while_2_done <- newBlockId + emitLabel while_2_entry + -- while (q0 >= b || q0 * vn0 > b * rhat + un0) { + gotoIf (q0' `ge` lit b) + while_2_body + gotoIf (le (times q0' vn0') + (times (lit b) rhat' `plus` un0')) + while_2_done + do + emitLabel while_2_body + -- q0 = q0 - 1; + q0 .= q0' `minus` one + -- rhat = rhat + vn1; + rhat .= rhat' `plus` vn1' + -- if (rhat >= b) + -- break; + gotoIf (rhat' `ge` lit b) while_2_done + emit $ mkBranch while_2_entry + -- } + emitLabel while_2_done + + -- r = (un21 * b + un0 - q0 * v) >> s; + res_r .= ((times un21' (lit b) `plus` un0') `minus` times q0' v') `shr` s' + -- return q1 * b + q0; + res_q .= times q1' (lit b) `plus` q0' genericWordQuotRem2Op _ _ _ = panic "genericWordQuotRem2Op" genericWordAdd2Op :: GenericOp diff --git a/testsuite/tests/numeric/should_run/all.T b/testsuite/tests/numeric/should_run/all.T index 6dc4c3bff9b0e233c24d92a9622266173c62eea8..694fc334f77bb76f82cfddb01b5cbdede9d1dc6a 100644 --- a/testsuite/tests/numeric/should_run/all.T +++ b/testsuite/tests/numeric/should_run/all.T @@ -52,6 +52,7 @@ test('add2', normal, compile_and_run, ['-fobject-code']) test('mul2', normal, compile_and_run, ['-fobject-code']) test('mul2int', normal, compile_and_run, ['-fobject-code']) test('quotRem2', normal, compile_and_run, ['-fobject-code']) +test('quotRem2Large', normal, compile_and_run, ['-fobject-code']) test('T5863', normal, compile_and_run, ['']) test('T7014', js_skip, makefile_test, []) diff --git a/testsuite/tests/numeric/should_run/quotRem2Large.hs b/testsuite/tests/numeric/should_run/quotRem2Large.hs new file mode 100644 index 0000000000000000000000000000000000000000..9d4ef47ece369c45bccc21abfbe782c3de805f79 --- /dev/null +++ b/testsuite/tests/numeric/should_run/quotRem2Large.hs @@ -0,0 +1,2250 @@ +{-# LANGUAGE MagicHash #-} +{-# LANGUAGE UnboxedTuples #-} +{-# LANGUAGE CPP #-} +module Main where + +#include "MachDeps.h" + +import GHC.Prim +import GHC.Word +import GHC.Types + +import Data.Bits +import Text.Printf + +data Test = T + { numeratorTop :: Word# + , numeratorBottom :: Word# + , denominator :: Word# + , expectedQuotient :: Word# + , expectedRemainder :: Word# + } deriving (Eq, Ord) + +instance Show Test where + show (T n1 n2 d q r) = + let formatStr = + if (maxBound :: Word) == 4294967295 + then "T {-n1-}0x%08x## {-n2-}0x%08x## {-d-}0x%08x## {-e_q-}0x%08x## {-e_r-}0x%08x##" + else "T {-n1-}0x%016x## {-n2-}0x%016x## {-d-}0x%016x## {-e_q-}0x%016x## {-e_r-}0x%016x##" + in printf formatStr (W# n1) (W# n2) (W# d) (W# q) (W# r) + + +main = mapM_ runTest testCases + +runTest :: Test -> IO () +runTest t@(T n1 n2 d eq er) = + case quotRemWord2# n1 n2 d of + (# q, r #) -> + if isTrue# ((neWord# q eq) `orI#` (neWord# r er)) + then do + print t + print ("Expected", W# eq, W# er) + print ("Got ", W# q, W# r) + else pure () + +{- +-- The following is used to generate the 32 bit values in `testCases` below +find32BitCases :: [Test] -> [Test] +find32BitCases = + map (\(T n1 n2 d _ _) -> + case resultsForQuotRem (to32BitInteger n1 n2) d of (# q, r #) -> T n1 n2 d q r) + . filter (\(T n1 n2 d _ _) -> is32Bit n1 && is32Bit n2 && is32Bit d) + +is32Bit :: Word# -> Bool +is32Bit w = isTrue# (and# w 0xFFFFFFFF00000000## `eqWord#` 0##) + +to32BitInteger :: Word# -> Word# -> Integer +to32BitInteger n1 n2 = fromIntegral (W# n1) `shiftL` 32 + fromIntegral (W# n2) + +resultsForQuotRem :: Integer -> Word# -> (# Word#, Word# #) +resultsForQuotRem n d = case quotRem n (fromIntegral (W# d)) of + (q,r) -> case (fromIntegral q, fromIntegral r) of + (W# q', W# r') -> (# q', r' #) + +testFor :: Word -> Word -> Word -> Test +testFor (W# n1) (W# n2) (W# d) = case resultsForQuotRem (to32BitInteger n1 n2) d of + (# q, r #) -> T n1 n2 d q r + +generate32BitCases :: [Test] +generate32BitCases = + [ r + | n1 <- numeratorCases + , n2 <- numeratorCases + , d <- numeratorCases ++ [3,4,5,6,7,8,9,11,13,17,0x0000_1000,0x0001_0000,0xFAFA_AFAF] + , let r@(T _ _ _ q _) = testFor n1 n2 d + , W# q <= fromIntegral (maxBound @Word32) + ] + where + numeratorCases = [0x0000_0001, 0x0000_0002, 0x0000_FFFF, 0x0000_AAAA, 0xFFFF_0000, 0xAAAA_0000, 0xFFFF_FFFF, 0xAAAA_AAAA] +-} + +-- 64 bit test cases are from compiler-rt's test suite: +-- https://github.com/llvm/llvm-project/blob/ba702aa067c0659d2263d2144d38666efa4a1750/compiler-rt/test/builtins/Unit/udivmoddi4_test.c +-- These test a n128/n128 division, so divisors with a non-zero top word have been removed. +testCases :: [Test] +testCases = + [ T 0## 0## 1## 0## 0## +#if WORD_SIZE_IN_BITS == 32 + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x00000002## {-e_q-}0x80000000## {-e_r-}0x00000001## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x0000ffff## {-e_q-}0x00010001## {-e_r-}0x00000002## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x0000aaaa## {-e_q-}0x00018001## {-e_r-}0x00005557## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0xffff0000## {-e_q-}0x00000001## {-e_r-}0x00010001## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0xaaaa0000## {-e_q-}0x00000001## {-e_r-}0x55560001## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0xffffffff## {-e_q-}0x00000001## {-e_r-}0x00000002## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0xaaaaaaaa## {-e_q-}0x00000001## {-e_r-}0x55555557## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x00000003## {-e_q-}0x55555555## {-e_r-}0x00000002## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x00000004## {-e_q-}0x40000000## {-e_r-}0x00000001## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x00000005## {-e_q-}0x33333333## {-e_r-}0x00000002## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x00000006## {-e_q-}0x2aaaaaaa## {-e_r-}0x00000005## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x00000007## {-e_q-}0x24924924## {-e_r-}0x00000005## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x00000008## {-e_q-}0x20000000## {-e_r-}0x00000001## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x00000009## {-e_q-}0x1c71c71c## {-e_r-}0x00000005## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x0000000b## {-e_q-}0x1745d174## {-e_r-}0x00000005## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x0000000d## {-e_q-}0x13b13b13## {-e_r-}0x0000000a## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x00000011## {-e_q-}0x0f0f0f0f## {-e_r-}0x00000002## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x00001000## {-e_q-}0x00100000## {-e_r-}0x00000001## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0x00010000## {-e_q-}0x00010000## {-e_r-}0x00000001## + , T {-n1-}0x00000001## {-n2-}0x00000001## {-d-}0xfafaafaf## {-e_q-}0x00000001## {-e_r-}0x05055052## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x00000002## {-e_q-}0x80000001## {-e_r-}0x00000000## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x0000ffff## {-e_q-}0x00010001## {-e_r-}0x00000003## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x0000aaaa## {-e_q-}0x00018001## {-e_r-}0x00005558## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0xffff0000## {-e_q-}0x00000001## {-e_r-}0x00010002## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0xaaaa0000## {-e_q-}0x00000001## {-e_r-}0x55560002## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0xffffffff## {-e_q-}0x00000001## {-e_r-}0x00000003## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0xaaaaaaaa## {-e_q-}0x00000001## {-e_r-}0x55555558## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x00000003## {-e_q-}0x55555556## {-e_r-}0x00000000## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x00000004## {-e_q-}0x40000000## {-e_r-}0x00000002## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x00000005## {-e_q-}0x33333333## {-e_r-}0x00000003## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x00000006## {-e_q-}0x2aaaaaab## {-e_r-}0x00000000## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x00000007## {-e_q-}0x24924924## {-e_r-}0x00000006## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x00000008## {-e_q-}0x20000000## {-e_r-}0x00000002## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x00000009## {-e_q-}0x1c71c71c## {-e_r-}0x00000006## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x0000000b## {-e_q-}0x1745d174## {-e_r-}0x00000006## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x0000000d## {-e_q-}0x13b13b13## {-e_r-}0x0000000b## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x00000011## {-e_q-}0x0f0f0f0f## {-e_r-}0x00000003## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x00001000## {-e_q-}0x00100000## {-e_r-}0x00000002## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0x00010000## {-e_q-}0x00010000## {-e_r-}0x00000002## + , T {-n1-}0x00000001## {-n2-}0x00000002## {-d-}0xfafaafaf## {-e_q-}0x00000001## {-e_r-}0x05055053## + , T {-n1-}0x00000001## {-n2-}0x0000ffff## {-d-}0x00000002## {-e_q-}0x80007fff## {-e_r-}0x00000001## + , T {-n1-}0x00000001## {-n2-}0x0000ffff## {-d-}0x0000ffff## {-e_q-}0x00010002## {-e_r-}0x00000001## + , T {-n1-}0x00000001## 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{-d-}0xFFFFFFFFFFFFFFFF## {-e_q-}0xFFFFFFFF80000001## {-e_r-}0x7FFFFFFF80000002## + , T {-n1-}0xFFFFFFFF80000000## {-n2-}0x8000000080000000## {-d-}0xFFFFFFFFFFFFFFFF## {-e_q-}0xFFFFFFFF80000001## {-e_r-}0x8000000000000001## + , T {-n1-}0xFFFFFFFF80000000## {-n2-}0x80000000FFFFFFFF## {-d-}0xFFFFFFFFFFFFFFFF## {-e_q-}0xFFFFFFFF80000001## {-e_r-}0x8000000080000000## + , T {-n1-}0xFFFFFFFF80000000## {-n2-}0xFFFFFFFF00000000## {-d-}0xFFFFFFFFFFFFFFFF## {-e_q-}0xFFFFFFFF80000001## {-e_r-}0xFFFFFFFE80000001## + , T {-n1-}0xFFFFFFFF80000000## {-n2-}0xFFFFFFFF00000001## {-d-}0xFFFFFFFFFFFFFFFF## {-e_q-}0xFFFFFFFF80000001## {-e_r-}0xFFFFFFFE80000002## + , T {-n1-}0xFFFFFFFF80000000## {-n2-}0xFFFFFFFF80000000## {-d-}0xFFFFFFFFFFFFFFFF## {-e_q-}0xFFFFFFFF80000001## {-e_r-}0xFFFFFFFF00000001## + , T {-n1-}0xFFFFFFFF80000000## {-n2-}0xFFFFFFFFFFFFFFFF## {-d-}0xFFFFFFFFFFFFFFFF## {-e_q-}0xFFFFFFFF80000001## {-e_r-}0xFFFFFFFF80000000## +#endif + ]