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Commit 94647604 authored by Simon Marlow's avatar Simon Marlow
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[project @ 2000-01-20 13:38:42 by simonmar] 

Make this test more comprehensive.  We now test

	+,-,div,mod,quot,rem,gcd,lcm

over a range of legal operands, for both Int and Integer.
parent 05d9b5ae
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ghc/tests/numeric/should_run/arith003.hs
+ 62
− 126
View file @ 94647604
-- !!! test arithmetic operations from "Prelude" (gcd, lcm, etc.)
-- $Id: arith003.hs,v 1.4 2000/01/20 13:38:42 simonmar Exp $
--
-- !!! test Int/Integer arithmetic operations from the Prelude.
--
main
= putStr
(-- w/ Ints
show [
minInt, maxInt,
subtract i8 i4,
subtract i8m i4,
subtract maxInt i4,
subtract i0 minInt,
gcd i8 i6,
gcd i8m i6,
gcd i8m i6m,
gcd i8m i0,
gcd i0 i8m,
gcd (4070297::Int) (2695911::Int), -- 52,861
lcm i8 i6,
lcm i8m i6,
lcm i8m i6m,
lcm i8m i0,
lcm i0 i8m,
lcm (4070297::Int) (2695911::Int), -- 207,585,147
i8 ^ i0,
i8m ^ i4,
i4 ^ i6
-- ToDo: more stuff
]
++ "\n"
(
showit (do_ops int_ops) ++
showit (do_ops integer_ops)
)
++ show [
quotRem i8 i6,
quotRem i8m i6,
quotRem i8m i6m,
-- quotRem i8m i0, -- no div by zero
quotRem i0 i8m,
quotRem (4070297::Int) (2695911::Int), -- 52,861
showit :: Integral a => [(String, a, a, a)] -> String
showit stuff = concat
[ str ++ " " ++ show l ++ " " ++ show r ++ " = " ++ show result ++ "\n"
| (str, l, r, result) <- stuff
]
divMod i8 i6,
divMod i8m i6,
divMod i8m i6m,
-- divMod i8m i0, -- no div by zero
divMod i0 i8m,
divMod (4070297::Int) (2695911::Int) -- 52,861
]
++ "\n"
do_ops :: Integral a => [((a -> a -> a), String, [(a,a)])]
-> [(String, a, a, a)]
do_ops ops = [ (str, l, r, l `op` r) | (op,str,args) <- ops, (l,r) <- args ]
-- w/ Integers
++ show [
minIntI, maxIntI,
small_operands, non_min_operands, operands, non_max_operands
:: Integral a => [a]
small_operands = [ 0, 1, -1, 2, -2 ]
operands = small_operands ++ [ fromIntegral minInt, fromIntegral maxInt ]
non_min_operands = small_operands ++ [ fromIntegral maxInt ]
non_max_operands = small_operands ++ [ fromIntegral minInt ]
subtract i8I i4I,
subtract i8mI i4I,
subtract maxIntI i4I,
subtract i0I minIntI,
large_operands :: [ Integer ]
large_operands = operands ++
[ fromIntegral minInt - 1,
fromIntegral maxInt + 1,
fromIntegral minInt ^ 2,
fromIntegral maxInt ^ 2
]
gcd i8I i6I,
gcd i8mI i6I,
gcd i8mI i6mI,
gcd i8mI i0I,
gcd i0I i8mI,
gcd (4070297::Integer) (2695911::Integer), -- 52,861
gcd minIntI (-1), -- out of Int range
gcd minIntI (1),
gcd (-1) minIntI,
gcd (1) minIntI,
lcm i8I i6I,
lcm i8mI i6I,
lcm i8mI i6mI,
lcm i8mI i0I,
lcm i0I i8mI,
lcm (4070297::Integer) (2695911::Integer), -- 207,585,147
lcm minIntI (-1), -- out of Int range
lcm minIntI (1),
lcm (-1) minIntI,
lcm (1) minIntI,
integer_ops :: [((Integer -> Integer -> Integer), String, [(Integer,Integer)])]
integer_ops = [
((+), "(+)", all_ok),
((-), "(-)", all_ok),
(div, "div", large_non_zero_r),
(mod, "mod", large_non_zero_r),
(quot, "quot", large_non_zero_r),
(rem, "rem", large_non_zero_r),
(gcd, "gcd", either_non_zero),
(lcm, "lcm", either_non_zero)
]
i8I ^ i0I,
i8mI ^ i4I,
i4I ^ i6I
-- ToDo: more stuff
]
++ "\n"
++ show [
quotRem i8I i6I,
quotRem i8mI i6I,
quotRem i8mI i6mI,
-- quotRem i8mI i0I, -- no div by zero
quotRem i0I i8mI,
quotRem (4070297::Integer) (2695911::Integer), -- 52,861
quotRem minIntI (-1), -- out of Int range
quotRem minIntI (1),
quotRem (-1) minIntI,
quotRem (1) minIntI,
int_ops :: [((Int -> Int -> Int), String, [(Int,Int)])]
int_ops = [
((+), "(+)", all_ok),
((-), "(-)", all_ok),
((^), "(^)", small_non_neg_r),
(div, "div", non_min_l_or_zero_r),
(mod, "mod", non_min_l_or_zero_r),
(quot, "quot", non_min_l_or_zero_r),
(rem, "rem", non_min_l_or_zero_r),
(gcd, "gcd", either_non_zero),
(lcm, "lcm", non_max_r_either_non_zero)
]
divMod i8I i6I,
divMod i8mI i6I,
divMod i8mI i6mI,
-- divMod i8mI i0I, -- no div by zero
divMod i0I i8mI,
divMod (4070297::Integer) (2695911::Integer), -- 52,861
divMod minIntI (-1), -- out of Int range
divMod minIntI (1),
divMod (-1) minIntI,
divMod (1) minIntI
]
all_ok, non_zero_r, either_non_zero, non_min_l_or_zero_r,
non_max_r_either_non_zero, small_non_neg_r
:: Integral a => [(a,a)]
++ "\n"
)
where
i0, i4, i4m, i6, i6m, i8, i8m :: Int
i0 = 0
i4 = 4
i4m = -4
i6 = 6
i6m = -6
i8 = 8
i8m = -8
i0I, i4I, i4mI, i6I, i6mI, i8I, i8mI :: Integer
i0I = 0
i4I = 4
i4mI = -4
i6I = 6
i6mI = -6
i8I = 8
i8mI = -8
all_ok = [ (l,r) | l <- operands, r <- operands ]
large_non_zero_r = [ (l,r) | l <- operands, r <- large_operands, r /= 0 ]
non_zero_r = [ (l,r) | l <- operands, r <- operands, r /= 0 ]
either_non_zero = [ (l,r) | l <- operands, r <- operands, l /= 0 || r /= 0 ]
small_non_neg_r = [ (l,r) | l <- operands, r <- small_operands, r >= 0 ]
non_min_l_or_zero_r = [ (l,r) | l <- non_min_operands, r <- operands, r /= 0 ]
non_max_r_either_non_zero = [ (l,r) | l <- operands, r <- non_max_operands, l /= 0 || r /= 0 ]
minInt = minBound :: Int
maxInt = maxBound :: Int
minIntI = fromIntegral minInt :: Integer
maxIntI = fromIntegral maxInt :: Integer
ghc/tests/numeric/should_run/arith003.stdout
+ 826
− 2
View file @ 94647604
[-2147483648,2147483647,-4,12,-2147483643,-2147483648,2,2,2,8,8,52861,24,24,24,0,0,207585147,1,4096,4096]
[-2147483648,2147483647,-4,12,-2147483643,-2147483648,2,2,2,8,8,52861,24,24,24,0,0,207585147,1,4096,4096]
(+) 0 0 = 0
(+) 0 1 = 1
(+) 0 -1 = -1
(+) 0 2 = 2
(+) 0 -2 = -2
(+) 0 -2147483648 = -2147483648
(+) 0 2147483647 = 2147483647
(+) 1 0 = 1
(+) 1 1 = 2
(+) 1 -1 = 0
(+) 1 2 = 3
(+) 1 -2 = -1
(+) 1 -2147483648 = -2147483647
(+) 1 2147483647 = -2147483648
(+) -1 0 = -1
(+) -1 1 = 0
(+) -1 -1 = -2
(+) -1 2 = 1
(+) -1 -2 = -3
(+) -1 -2147483648 = 2147483647
(+) -1 2147483647 = 2147483646
(+) 2 0 = 2
(+) 2 1 = 3
(+) 2 -1 = 1
(+) 2 2 = 4
(+) 2 -2 = 0
(+) 2 -2147483648 = -2147483646
(+) 2 2147483647 = -2147483647
(+) -2 0 = -2
(+) -2 1 = -1
(+) -2 -1 = -3
(+) -2 2 = 0
(+) -2 -2 = -4
(+) -2 -2147483648 = 2147483646
(+) -2 2147483647 = 2147483645
(+) -2147483648 0 = -2147483648
(+) -2147483648 1 = -2147483647
(+) -2147483648 -1 = 2147483647
(+) -2147483648 2 = -2147483646
(+) -2147483648 -2 = 2147483646
(+) -2147483648 -2147483648 = 0
(+) -2147483648 2147483647 = -1
(+) 2147483647 0 = 2147483647
(+) 2147483647 1 = -2147483648
(+) 2147483647 -1 = 2147483646
(+) 2147483647 2 = -2147483647
(+) 2147483647 -2 = 2147483645
(+) 2147483647 -2147483648 = -1
(+) 2147483647 2147483647 = -2
(-) 0 0 = 0
(-) 0 1 = -1
(-) 0 -1 = 1
(-) 0 2 = -2
(-) 0 -2 = 2
(-) 0 -2147483648 = -2147483648
(-) 0 2147483647 = -2147483647
(-) 1 0 = 1
(-) 1 1 = 0
(-) 1 -1 = 2
(-) 1 2 = -1
(-) 1 -2 = 3
(-) 1 -2147483648 = -2147483647
(-) 1 2147483647 = -2147483646
(-) -1 0 = -1
(-) -1 1 = -2
(-) -1 -1 = 0
(-) -1 2 = -3
(-) -1 -2 = 1
(-) -1 -2147483648 = 2147483647
(-) -1 2147483647 = -2147483648
(-) 2 0 = 2
(-) 2 1 = 1
(-) 2 -1 = 3
(-) 2 2 = 0
(-) 2 -2 = 4
(-) 2 -2147483648 = -2147483646
(-) 2 2147483647 = -2147483645
(-) -2 0 = -2
(-) -2 1 = -3
(-) -2 -1 = -1
(-) -2 2 = -4
(-) -2 -2 = 0
(-) -2 -2147483648 = 2147483646
(-) -2 2147483647 = 2147483647
(-) -2147483648 0 = -2147483648
(-) -2147483648 1 = 2147483647
(-) -2147483648 -1 = -2147483647
(-) -2147483648 2 = 2147483646
(-) -2147483648 -2 = -2147483646
(-) -2147483648 -2147483648 = 0
(-) -2147483648 2147483647 = 1
(-) 2147483647 0 = 2147483647
(-) 2147483647 1 = 2147483646
(-) 2147483647 -1 = -2147483648
(-) 2147483647 2 = 2147483645
(-) 2147483647 -2 = -2147483647
(-) 2147483647 -2147483648 = -1
(-) 2147483647 2147483647 = 0
(^) 0 0 = 1
(^) 0 1 = 0
(^) 0 2 = 0
(^) 1 0 = 1
(^) 1 1 = 1
(^) 1 2 = 1
(^) -1 0 = 1
(^) -1 1 = -1
(^) -1 2 = 1
(^) 2 0 = 1
(^) 2 1 = 2
(^) 2 2 = 4
(^) -2 0 = 1
(^) -2 1 = -2
(^) -2 2 = 4
(^) -2147483648 0 = 1
(^) -2147483648 1 = -2147483648
(^) -2147483648 2 = 0
(^) 2147483647 0 = 1
(^) 2147483647 1 = 2147483647
(^) 2147483647 2 = 1
div 0 1 = 0
div 0 -1 = 0
div 0 2 = 0
div 0 -2 = 0
div 0 -2147483648 = 0
div 0 2147483647 = 0
div 1 1 = 1
div 1 -1 = -1
div 1 2 = 0
div 1 -2 = -1
div 1 -2147483648 = 1
div 1 2147483647 = 0
div -1 1 = -1
div -1 -1 = 1
div -1 2 = -1
div -1 -2 = 0
div -1 -2147483648 = 0
div -1 2147483647 = -1
div 2 1 = 2
div 2 -1 = -2
div 2 2 = 1
div 2 -2 = -1
div 2 -2147483648 = 0
div 2 2147483647 = 0
div -2 1 = -2
div -2 -1 = 2
div -2 2 = -1
div -2 -2 = 1
div -2 -2147483648 = 0
div -2 2147483647 = -1
div 2147483647 1 = 2147483647
div 2147483647 -1 = -2147483647
div 2147483647 2 = 1073741823
div 2147483647 -2 = 1073741824
div 2147483647 -2147483648 = 0
div 2147483647 2147483647 = 1
mod 0 1 = 0
mod 0 -1 = 0
mod 0 2 = 0
mod 0 -2 = 0
mod 0 -2147483648 = 0
mod 0 2147483647 = 0
mod 1 1 = 0
mod 1 -1 = 0
mod 1 2 = 1
mod 1 -2 = -1
mod 1 -2147483648 = -2147483647
mod 1 2147483647 = 1
mod -1 1 = 0
mod -1 -1 = 0
mod -1 2 = 1
mod -1 -2 = -1
mod -1 -2147483648 = -1
mod -1 2147483647 = 2147483646
mod 2 1 = 0
mod 2 -1 = 0
mod 2 2 = 0
mod 2 -2 = 0
mod 2 -2147483648 = -2147483646
mod 2 2147483647 = 2
mod -2 1 = 0
mod -2 -1 = 0
mod -2 2 = 0
mod -2 -2 = 0
mod -2 -2147483648 = -2
mod -2 2147483647 = 2147483645
mod 2147483647 1 = 0
mod 2147483647 -1 = 0
mod 2147483647 2 = 1
mod 2147483647 -2 = -1
mod 2147483647 -2147483648 = -1
mod 2147483647 2147483647 = 0
quot 0 1 = 0
quot 0 -1 = 0
quot 0 2 = 0
quot 0 -2 = 0
quot 0 -2147483648 = 0
quot 0 2147483647 = 0
quot 1 1 = 1
quot 1 -1 = -1
quot 1 2 = 0
quot 1 -2 = 0
quot 1 -2147483648 = 0
quot 1 2147483647 = 0
quot -1 1 = -1
quot -1 -1 = 1
quot -1 2 = 0
quot -1 -2 = 0
quot -1 -2147483648 = 0
quot -1 2147483647 = 0
quot 2 1 = 2
quot 2 -1 = -2
quot 2 2 = 1
quot 2 -2 = -1
quot 2 -2147483648 = 0
quot 2 2147483647 = 0
quot -2 1 = -2
quot -2 -1 = 2
quot -2 2 = -1
quot -2 -2 = 1
quot -2 -2147483648 = 0
quot -2 2147483647 = 0
quot 2147483647 1 = 2147483647
quot 2147483647 -1 = -2147483647
quot 2147483647 2 = 1073741823
quot 2147483647 -2 = -1073741823
quot 2147483647 -2147483648 = 0
quot 2147483647 2147483647 = 1
rem 0 1 = 0
rem 0 -1 = 0
rem 0 2 = 0
rem 0 -2 = 0
rem 0 -2147483648 = 0
rem 0 2147483647 = 0
rem 1 1 = 0
rem 1 -1 = 0
rem 1 2 = 1
rem 1 -2 = 1
rem 1 -2147483648 = 1
rem 1 2147483647 = 1
rem -1 1 = 0
rem -1 -1 = 0
rem -1 2 = -1
rem -1 -2 = -1
rem -1 -2147483648 = -1
rem -1 2147483647 = -1
rem 2 1 = 0
rem 2 -1 = 0
rem 2 2 = 0
rem 2 -2 = 0
rem 2 -2147483648 = 2
rem 2 2147483647 = 2
rem -2 1 = 0
rem -2 -1 = 0
rem -2 2 = 0
rem -2 -2 = 0
rem -2 -2147483648 = -2
rem -2 2147483647 = -2
rem 2147483647 1 = 0
rem 2147483647 -1 = 0
rem 2147483647 2 = 1
rem 2147483647 -2 = 1
rem 2147483647 -2147483648 = 2147483647
rem 2147483647 2147483647 = 0
gcd 0 1 = 1
gcd 0 -1 = 1
gcd 0 2 = 2
gcd 0 -2 = 2
gcd 0 -2147483648 = -2147483648
gcd 0 2147483647 = 2147483647
gcd 1 0 = 1
gcd 1 1 = 1
gcd 1 -1 = 1
gcd 1 2 = 1
gcd 1 -2 = 1
gcd 1 -2147483648 = 1
gcd 1 2147483647 = 1
gcd -1 0 = 1
gcd -1 1 = 1
gcd -1 -1 = 1
gcd -1 2 = 1
gcd -1 -2 = 1
gcd -1 -2147483648 = 1
gcd -1 2147483647 = 1
gcd 2 0 = 2
gcd 2 1 = 1
gcd 2 -1 = 1
gcd 2 2 = 2
gcd 2 -2 = 2
gcd 2 -2147483648 = 2
gcd 2 2147483647 = 1
gcd -2 0 = 2
gcd -2 1 = 1
gcd -2 -1 = 1
gcd -2 2 = 2
gcd -2 -2 = 2
gcd -2 -2147483648 = 2
gcd -2 2147483647 = 1
gcd -2147483648 0 = -2147483648
gcd -2147483648 1 = 1
gcd -2147483648 -1 = 1
gcd -2147483648 2 = 2
gcd -2147483648 -2 = 2
gcd -2147483648 -2147483648 = -2147483648
gcd -2147483648 2147483647 = -1
gcd 2147483647 0 = 2147483647
gcd 2147483647 1 = 1
gcd 2147483647 -1 = 1
gcd 2147483647 2 = 1
gcd 2147483647 -2 = 1
gcd 2147483647 -2147483648 = -1
gcd 2147483647 2147483647 = 2147483647
lcm 0 1 = 0
lcm 0 -1 = 0
lcm 0 2 = 0
lcm 0 -2 = 0
lcm 0 -2147483648 = 0
lcm 1 0 = 0
lcm 1 1 = 1
lcm 1 -1 = 1
lcm 1 2 = 2
lcm 1 -2 = 2
lcm 1 -2147483648 = -2147483648
lcm -1 0 = 0
lcm -1 1 = 1
lcm -1 -1 = 1
lcm -1 2 = 2
lcm -1 -2 = 2
lcm -1 -2147483648 = -2147483648
lcm 2 0 = 0
lcm 2 1 = 2
lcm 2 -1 = 2
lcm 2 2 = 2
lcm 2 -2 = 2
lcm 2 -2147483648 = -2147483648
lcm -2 0 = 0
lcm -2 1 = 2
lcm -2 -1 = 2
lcm -2 2 = 2
lcm -2 -2 = 2
lcm -2 -2147483648 = -2147483648
lcm -2147483648 0 = 0
lcm -2147483648 1 = -2147483648
lcm -2147483648 -1 = -2147483648
lcm -2147483648 2 = -2147483648
lcm -2147483648 -2 = -2147483648
lcm -2147483648 -2147483648 = -2147483648
lcm 2147483647 0 = 0
lcm 2147483647 1 = 2147483647
lcm 2147483647 -1 = 2147483647
lcm 2147483647 2 = 2
lcm 2147483647 -2 = 2
lcm 2147483647 -2147483648 = -2147483648
(+) 0 0 = 0
(+) 0 1 = 1
(+) 0 -1 = -1
(+) 0 2 = 2
(+) 0 -2 = -2
(+) 0 -2147483648 = -2147483648
(+) 0 2147483647 = 2147483647
(+) 1 0 = 1
(+) 1 1 = 2
(+) 1 -1 = 0
(+) 1 2 = 3
(+) 1 -2 = -1
(+) 1 -2147483648 = -2147483647
(+) 1 2147483647 = 2147483648
(+) -1 0 = -1
(+) -1 1 = 0
(+) -1 -1 = -2
(+) -1 2 = 1
(+) -1 -2 = -3
(+) -1 -2147483648 = -2147483649
(+) -1 2147483647 = 2147483646
(+) 2 0 = 2
(+) 2 1 = 3
(+) 2 -1 = 1
(+) 2 2 = 4
(+) 2 -2 = 0
(+) 2 -2147483648 = -2147483646
(+) 2 2147483647 = 2147483649
(+) -2 0 = -2
(+) -2 1 = -1
(+) -2 -1 = -3
(+) -2 2 = 0
(+) -2 -2 = -4
(+) -2 -2147483648 = -2147483650
(+) -2 2147483647 = 2147483645
(+) -2147483648 0 = -2147483648
(+) -2147483648 1 = -2147483647
(+) -2147483648 -1 = -2147483649
(+) -2147483648 2 = -2147483646
(+) -2147483648 -2 = -2147483650
(+) -2147483648 -2147483648 = -4294967296
(+) -2147483648 2147483647 = -1
(+) 2147483647 0 = 2147483647
(+) 2147483647 1 = 2147483648
(+) 2147483647 -1 = 2147483646
(+) 2147483647 2 = 2147483649
(+) 2147483647 -2 = 2147483645
(+) 2147483647 -2147483648 = -1
(+) 2147483647 2147483647 = 4294967294
(-) 0 0 = 0
(-) 0 1 = -1
(-) 0 -1 = 1
(-) 0 2 = -2
(-) 0 -2 = 2
(-) 0 -2147483648 = 2147483648
(-) 0 2147483647 = -2147483647
(-) 1 0 = 1
(-) 1 1 = 0
(-) 1 -1 = 2
(-) 1 2 = -1
(-) 1 -2 = 3
(-) 1 -2147483648 = 2147483649
(-) 1 2147483647 = -2147483646
(-) -1 0 = -1
(-) -1 1 = -2
(-) -1 -1 = 0
(-) -1 2 = -3
(-) -1 -2 = 1
(-) -1 -2147483648 = 2147483647
(-) -1 2147483647 = -2147483648
(-) 2 0 = 2
(-) 2 1 = 1
(-) 2 -1 = 3
(-) 2 2 = 0
(-) 2 -2 = 4
(-) 2 -2147483648 = 2147483650
(-) 2 2147483647 = -2147483645
(-) -2 0 = -2
(-) -2 1 = -3
(-) -2 -1 = -1
(-) -2 2 = -4
(-) -2 -2 = 0
(-) -2 -2147483648 = 2147483646
(-) -2 2147483647 = -2147483649
(-) -2147483648 0 = -2147483648
(-) -2147483648 1 = -2147483649
(-) -2147483648 -1 = -2147483647
(-) -2147483648 2 = -2147483650
(-) -2147483648 -2 = -2147483646
(-) -2147483648 -2147483648 = 0
(-) -2147483648 2147483647 = -4294967295
(-) 2147483647 0 = 2147483647
(-) 2147483647 1 = 2147483646
(-) 2147483647 -1 = 2147483648
(-) 2147483647 2 = 2147483645
(-) 2147483647 -2 = 2147483649
(-) 2147483647 -2147483648 = 4294967295
(-) 2147483647 2147483647 = 0
div 0 1 = 0
div 0 -1 = 0
div 0 2 = 0
div 0 -2 = 0
div 0 -2147483648 = 0
div 0 2147483647 = 0
div 0 -2147483649 = 0
div 0 2147483648 = 0
div 0 4611686018427387904 = 0
div 0 4611686014132420609 = 0
div 1 1 = 1
div 1 -1 = -1
div 1 2 = 0
div 1 -2 = -1
div 1 -2147483648 = 1
div 1 2147483647 = 0
div 1 -2147483649 = -1
div 1 2147483648 = 0
div 1 4611686018427387904 = 0
div 1 4611686014132420609 = 0
div -1 1 = -1
div -1 -1 = 1
div -1 2 = -1
div -1 -2 = 0
div -1 -2147483648 = 0
div -1 2147483647 = -1
div -1 -2147483649 = 0
div -1 2147483648 = -1
div -1 4611686018427387904 = -1
div -1 4611686014132420609 = -1
div 2 1 = 2
div 2 -1 = -2
div 2 2 = 1
div 2 -2 = -1
div 2 -2147483648 = 0
div 2 2147483647 = 0
div 2 -2147483649 = -1
div 2 2147483648 = 0
div 2 4611686018427387904 = 0
div 2 4611686014132420609 = 0
div -2 1 = -2
div -2 -1 = 2
div -2 2 = -1
div -2 -2 = 1
div -2 -2147483648 = 0
div -2 2147483647 = -1
div -2 -2147483649 = 0
div -2 2147483648 = -1
div -2 4611686018427387904 = -1
div -2 4611686014132420609 = -1
div -2147483648 1 = -2147483648
div -2147483648 -1 = 2147483648
div -2147483648 2 = -1073741824
div -2147483648 -2 = 1073741824
div -2147483648 -2147483648 = 1
div -2147483648 2147483647 = -2
div -2147483648 -2147483649 = 0
div -2147483648 2147483648 = -1
div -2147483648 4611686018427387904 = -1
div -2147483648 4611686014132420609 = -1
div 2147483647 1 = 2147483647
div 2147483647 -1 = -2147483647
div 2147483647 2 = 1073741823
div 2147483647 -2 = 1073741824
div 2147483647 -2147483648 = 0
div 2147483647 2147483647 = 1
div 2147483647 -2147483649 = -1
div 2147483647 2147483648 = 0
div 2147483647 4611686018427387904 = 0
div 2147483647 4611686014132420609 = 0
mod 0 1 = 0
mod 0 -1 = 0
mod 0 2 = 0
mod 0 -2 = 0
mod 0 -2147483648 = 0
mod 0 2147483647 = 0
mod 0 -2147483649 = 0
mod 0 2147483648 = 0
mod 0 4611686018427387904 = 0
mod 0 4611686014132420609 = 0
mod 1 1 = 0
mod 1 -1 = 0
mod 1 2 = 1
mod 1 -2 = -1
mod 1 -2147483648 = -2147483647
mod 1 2147483647 = 1
mod 1 -2147483649 = -2147483648
mod 1 2147483648 = 1
mod 1 4611686018427387904 = 1
mod 1 4611686014132420609 = 1
mod -1 1 = 0
mod -1 -1 = 0
mod -1 2 = 1
mod -1 -2 = -1
mod -1 -2147483648 = -1
mod -1 2147483647 = 2147483646
mod -1 -2147483649 = -1
mod -1 2147483648 = 2147483647
mod -1 4611686018427387904 = 4611686018427387903
mod -1 4611686014132420609 = 4611686014132420608
mod 2 1 = 0
mod 2 -1 = 0
mod 2 2 = 0
mod 2 -2 = 0
mod 2 -2147483648 = -2147483646
mod 2 2147483647 = 2
mod 2 -2147483649 = -2147483647
mod 2 2147483648 = 2
mod 2 4611686018427387904 = 2
mod 2 4611686014132420609 = 2
mod -2 1 = 0
mod -2 -1 = 0
mod -2 2 = 0
mod -2 -2 = 0
mod -2 -2147483648 = -2
mod -2 2147483647 = 2147483645
mod -2 -2147483649 = -2
mod -2 2147483648 = 2147483646
mod -2 4611686018427387904 = 4611686018427387902
mod -2 4611686014132420609 = 4611686014132420607
mod -2147483648 1 = 0
mod -2147483648 -1 = 0
mod -2147483648 2 = 0
mod -2147483648 -2 = 0
mod -2147483648 -2147483648 = 0
mod -2147483648 2147483647 = 2147483646
mod -2147483648 -2147483649 = -2147483648
mod -2147483648 2147483648 = 0
mod -2147483648 4611686018427387904 = 4611686016279904256
mod -2147483648 4611686014132420609 = 4611686011984936961
mod 2147483647 1 = 0
mod 2147483647 -1 = 0
mod 2147483647 2 = 1
mod 2147483647 -2 = -1
mod 2147483647 -2147483648 = -1
mod 2147483647 2147483647 = 0
mod 2147483647 -2147483649 = -2
mod 2147483647 2147483648 = 2147483647
mod 2147483647 4611686018427387904 = 2147483647
mod 2147483647 4611686014132420609 = 2147483647
quot 0 1 = 0
quot 0 -1 = 0
quot 0 2 = 0
quot 0 -2 = 0
quot 0 -2147483648 = 0
quot 0 2147483647 = 0
quot 0 -2147483649 = 0
quot 0 2147483648 = 0
quot 0 4611686018427387904 = 0
quot 0 4611686014132420609 = 0
quot 1 1 = 1
quot 1 -1 = -1
quot 1 2 = 0
quot 1 -2 = 0
quot 1 -2147483648 = 0
quot 1 2147483647 = 0
quot 1 -2147483649 = 0
quot 1 2147483648 = 0
quot 1 4611686018427387904 = 0
quot 1 4611686014132420609 = 0
quot -1 1 = -1
quot -1 -1 = 1
quot -1 2 = 0
quot -1 -2 = 0
quot -1 -2147483648 = 0
quot -1 2147483647 = 0
quot -1 -2147483649 = 0
quot -1 2147483648 = 0
quot -1 4611686018427387904 = 0
quot -1 4611686014132420609 = 0
quot 2 1 = 2
quot 2 -1 = -2
quot 2 2 = 1
quot 2 -2 = -1
quot 2 -2147483648 = 0
quot 2 2147483647 = 0
quot 2 -2147483649 = 0
quot 2 2147483648 = 0
quot 2 4611686018427387904 = 0
quot 2 4611686014132420609 = 0
quot -2 1 = -2
quot -2 -1 = 2
quot -2 2 = -1
quot -2 -2 = 1
quot -2 -2147483648 = 0
quot -2 2147483647 = 0
quot -2 -2147483649 = 0
quot -2 2147483648 = 0
quot -2 4611686018427387904 = 0
quot -2 4611686014132420609 = 0
quot -2147483648 1 = -2147483648
quot -2147483648 -1 = 2147483648
quot -2147483648 2 = -1073741824
quot -2147483648 -2 = 1073741824
quot -2147483648 -2147483648 = 1
quot -2147483648 2147483647 = -1
quot -2147483648 -2147483649 = 0
quot -2147483648 2147483648 = -1
quot -2147483648 4611686018427387904 = 0
quot -2147483648 4611686014132420609 = 0
quot 2147483647 1 = 2147483647
quot 2147483647 -1 = -2147483647
quot 2147483647 2 = 1073741823
quot 2147483647 -2 = -1073741823
quot 2147483647 -2147483648 = 0
quot 2147483647 2147483647 = 1
quot 2147483647 -2147483649 = 1
quot 2147483647 2147483648 = 0
quot 2147483647 4611686018427387904 = 0
quot 2147483647 4611686014132420609 = 0
rem 0 1 = 0
rem 0 -1 = 0
rem 0 2 = 0
rem 0 -2 = 0
rem 0 -2147483648 = 0
rem 0 2147483647 = 0
rem 0 -2147483649 = 0
rem 0 2147483648 = 0
rem 0 4611686018427387904 = 0
rem 0 4611686014132420609 = 0
rem 1 1 = 0
rem 1 -1 = 0
rem 1 2 = 1
rem 1 -2 = 1
rem 1 -2147483648 = 1
rem 1 2147483647 = 1
rem 1 -2147483649 = 1
rem 1 2147483648 = 1
rem 1 4611686018427387904 = 1
rem 1 4611686014132420609 = 1
rem -1 1 = 0
rem -1 -1 = 0
rem -1 2 = -1
rem -1 -2 = -1
rem -1 -2147483648 = -1
rem -1 2147483647 = -1
rem -1 -2147483649 = -1
rem -1 2147483648 = -1
rem -1 4611686018427387904 = -1
rem -1 4611686014132420609 = -1
rem 2 1 = 0
rem 2 -1 = 0
rem 2 2 = 0
rem 2 -2 = 0
rem 2 -2147483648 = 2
rem 2 2147483647 = 2
rem 2 -2147483649 = 2
rem 2 2147483648 = 2
rem 2 4611686018427387904 = 2
rem 2 4611686014132420609 = 2
rem -2 1 = 0
rem -2 -1 = 0
rem -2 2 = 0
rem -2 -2 = 0
rem -2 -2147483648 = -2
rem -2 2147483647 = -2
rem -2 -2147483649 = -2
rem -2 2147483648 = -2
rem -2 4611686018427387904 = -2
rem -2 4611686014132420609 = -2
rem -2147483648 1 = 0
rem -2147483648 -1 = 0
rem -2147483648 2 = 0
rem -2147483648 -2 = 0
rem -2147483648 -2147483648 = 0
rem -2147483648 2147483647 = -1
rem -2147483648 -2147483649 = -2147483648
rem -2147483648 2147483648 = 0
rem -2147483648 4611686018427387904 = -2147483648
rem -2147483648 4611686014132420609 = -2147483648
rem 2147483647 1 = 0
rem 2147483647 -1 = 0
rem 2147483647 2 = 1
rem 2147483647 -2 = 1
rem 2147483647 -2147483648 = 2147483647
rem 2147483647 2147483647 = 0
rem 2147483647 -2147483649 = 0
rem 2147483647 2147483648 = 2147483647
rem 2147483647 4611686018427387904 = 2147483647
rem 2147483647 4611686014132420609 = 2147483647
gcd 0 1 = 1
gcd 0 -1 = 1
gcd 0 2 = 2
gcd 0 -2 = 2
gcd 0 -2147483648 = 2147483648
gcd 0 2147483647 = 2147483647
gcd 1 0 = 1
gcd 1 1 = 1
gcd 1 -1 = 1
gcd 1 2 = 1
gcd 1 -2 = 1
gcd 1 -2147483648 = 1
gcd 1 2147483647 = 1
gcd -1 0 = 1
gcd -1 1 = 1
gcd -1 -1 = 1
gcd -1 2 = 1
gcd -1 -2 = 1
gcd -1 -2147483648 = 1
gcd -1 2147483647 = 1
gcd 2 0 = 2
gcd 2 1 = 1
gcd 2 -1 = 1
gcd 2 2 = 2
gcd 2 -2 = 2
gcd 2 -2147483648 = 2
gcd 2 2147483647 = 1
gcd -2 0 = 2
gcd -2 1 = 1
gcd -2 -1 = 1
gcd -2 2 = 2
gcd -2 -2 = 2
gcd -2 -2147483648 = 2
gcd -2 2147483647 = 1
gcd -2147483648 0 = 2147483648
gcd -2147483648 1 = 1
gcd -2147483648 -1 = 1
gcd -2147483648 2 = 2
gcd -2147483648 -2 = 2
gcd -2147483648 -2147483648 = 2147483648
gcd -2147483648 2147483647 = 1
gcd 2147483647 0 = 2147483647
gcd 2147483647 1 = 1
gcd 2147483647 -1 = 1
gcd 2147483647 2 = 1
gcd 2147483647 -2 = 1
gcd 2147483647 -2147483648 = 1
gcd 2147483647 2147483647 = 2147483647
lcm 0 1 = 0
lcm 0 -1 = 0
lcm 0 2 = 0
lcm 0 -2 = 0
lcm 0 -2147483648 = 0
lcm 0 2147483647 = 0
lcm 1 0 = 0
lcm 1 1 = 1
lcm 1 -1 = 1
lcm 1 2 = 2
lcm 1 -2 = 2
lcm 1 -2147483648 = 2147483648
lcm 1 2147483647 = 2147483647
lcm -1 0 = 0
lcm -1 1 = 1
lcm -1 -1 = 1
lcm -1 2 = 2
lcm -1 -2 = 2
lcm -1 -2147483648 = 2147483648
lcm -1 2147483647 = 2147483647
lcm 2 0 = 0
lcm 2 1 = 2
lcm 2 -1 = 2
lcm 2 2 = 2
lcm 2 -2 = 2
lcm 2 -2147483648 = 2147483648
lcm 2 2147483647 = 4294967294
lcm -2 0 = 0
lcm -2 1 = 2
lcm -2 -1 = 2
lcm -2 2 = 2
lcm -2 -2 = 2
lcm -2 -2147483648 = 2147483648
lcm -2 2147483647 = 4294967294
lcm -2147483648 0 = 0
lcm -2147483648 1 = 2147483648
lcm -2147483648 -1 = 2147483648
lcm -2147483648 2 = 2147483648
lcm -2147483648 -2 = 2147483648
lcm -2147483648 -2147483648 = 2147483648
lcm -2147483648 2147483647 = 4611686016279904256
lcm 2147483647 0 = 0
lcm 2147483647 1 = 2147483647
lcm 2147483647 -1 = 2147483647
lcm 2147483647 2 = 4294967294
lcm 2147483647 -2 = 4294967294
lcm 2147483647 -2147483648 = 4611686016279904256
lcm 2147483647 2147483647 = 2147483647
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