Add tests for new internal GMP primitives

See [ce8ec963/integer-gmp] and [97c101b7/integer-gmp] for more details

testsuite/.gitignore

@@ -853,6 +853,7 @@ tests/lib/integer/integerBits
 tests/lib/integer/integerConstantFolding
 tests/lib/integer/integerConstantFolding.simpl
 tests/lib/integer/integerConversions
+tests/lib/integer/integerGmpInternals
 tests/lib/libposix/po003.out
 tests/lib/libposix/posix002
 tests/lib/libposix/posix003

testsuite/tests/lib/integer/all.T

 test('integerBits', normal, compile_and_run, [''])
 test('integerConversions', normal, compile_and_run, [''])
+test('integerGmpInternals', reqlib('integer-gmp'), compile_and_run, [''])
 test('integerConstantFolding',
      extra_clean(['integerConstantFolding.simpl']),
      run_command,

testsuite/tests/lib/integer/integerGmpInternals.hs

+{-# LANGUAGE MagicHash, UnboxedTuples #-}
+
+module Main (main) where
+
+import GHC.Base
+import GHC.Integer
+import GHC.Integer.GMP.Internals
+
+gcdExtInteger' :: Integer -> Integer -> (Integer, Integer)
+gcdExtInteger' a b = case gcdExtInteger a b of (# a, b #) -> (a,b)
+
+powInteger' :: Integer -> Word -> Integer
+powInteger' b (W# w#) = powInteger b w#
+
+{- Reference implementation for 'powModInteger'
+
+powModIntegerHs :: Integer -> Integer -> Integer -> Integer
+powModIntegerHs b0 e0 m
+  | e0 >= 0    = go b0 e0 1
+  | otherwise  = error "non-neg exponent required"
+  where
+    go !b e !r
+      | odd e     = go b' e' (r*b `mod` m)
+      | e == 0    = r
+      | otherwise = go b' e' r
+      where
+        b' = b*b `mod` m
+        e' = e   `unsafeShiftR` 1 -- slightly faster than "e `div` 2"
+
+-}
+
+main :: IO ()
+main = do
+    print $ powModInteger b e m
+    print $ gcdExtInteger' b e
+    print $ gcdExtInteger' e b
+    print $ gcdExtInteger' x y
+    print $ gcdExtInteger' y x
+    print $ powInteger' 12345 0
+    print $ powInteger' 12345 1
+    print $ powInteger' 12345 30
+    print $ [ (x,i) | x <- [0..71], let i = recipModInteger x (2*3*11*11*17*17), i /= 0 ]
+    return ()
+  where
+    b = 2988348162058574136915891421498819466320163312926952423791023078876139
+    e = 2351399303373464486466122544523690094744975233415544072992656881240319
+    m = 10^(40::Int)
+
+    x = 5328841272400314897981163497728751426
+    y = 32052182750761975518649228050096851724

testsuite/tests/lib/integer/integerGmpInternals.stdout

+1527229998585248450016808958343740453059
+(1,-238164827888328100873319793437342927637138278785737103723156342382925)
+(1,302679100340807588460107986194035692812415103244388831792688023418704)
+(92889294,115110207004456909698806038261)
+(92889294,-19137667681784054624628973533)
+1
+12345
+555562377826831043419246079513769804614412256811161773362797946971665712715296306339052301636736176350153982639312744140625
+[(1,1),(5,41963),(7,59947),(13,177535),(19,143557),(23,182447),(25,134281),(29,7235),(31,33841),(35,95915),(37,113413),(41,61409),(43,24397),(47,174101),(49,158431),(53,193979),(59,188477),(61,185737),(65,35507),(67,118999),(71,186173)]