sbv-14.4: SBVTestSuite/TestSuite/Basics/BasicTests.hs

-----------------------------------------------------------------------------
-- |
-- Module    : TestSuite.Basics.BasicTests
-- Copyright : (c) Levent Erkok
-- License   : BSD3
-- Maintainer: erkokl@gmail.com
-- Stability : experimental
--
-- Test suite for Examples.Basics.BasicTests
-----------------------------------------------------------------------------

{-# LANGUAGE RankNTypes          #-}
{-# LANGUAGE ScopedTypeVariables #-}

{-# OPTIONS_GHC -Wall -Werror #-}

module TestSuite.Basics.BasicTests(tests) where

import Data.SBV.Control
import Data.SBV.Internals hiding (free, output)
import Utils.SBVTestFramework

import Control.Monad       (void)
import Control.Monad.Trans (liftIO)

import System.Random

import qualified Control.Exception as C

-- Test suite
tests :: TestTree
tests = testGroup "Basics.BasicTests"
   [ testCase "basic-0.1" $ test0 f1 `showsAs` "5"
   , testCase "basic-0.2" $ test0 f2 `showsAs` "5"
   , testCase "basic-0.3" $ test0 f3 `showsAs` "25"
   , testCase "basic-0.4" $ test0 f4 `showsAs` "25"
   , testCase "basic-0.5" $ test0 f5 `showsAs` "4"
   , goldenVsStringShow "basic-1_1" $ test1 f1
   , goldenVsStringShow "basic-1_2" $ test1 f2
   , goldenVsStringShow "basic-1_3" $ test1 f3
   , goldenVsStringShow "basic-1_4" $ test1 f4
   , goldenVsStringShow "basic-1_5" $ test1 f5
   , goldenVsStringShow "basic-2_1" $ test2 f1
   , goldenVsStringShow "basic-2_2" $ test2 f2
   , goldenVsStringShow "basic-2_3" $ test2 f3
   , goldenVsStringShow "basic-2_4" $ test2 f4
   , goldenVsStringShow "basic-2_5" $ test2 f5
   , goldenVsStringShow "basic-3_1" $ test3 f1
   , goldenVsStringShow "basic-3_2" $ test3 f2
   , goldenVsStringShow "basic-3_3" $ test3 f3
   , goldenVsStringShow "basic-3_4" $ test3 f4
   , goldenVsStringShow "basic-3_5" $ test3 f5
   , goldenVsStringShow "basic-4_1" $ test4 f1
   , goldenVsStringShow "basic-4_2" $ test4 f2
   , goldenVsStringShow "basic-4_3" $ test4 f3
   , goldenVsStringShow "basic-4_4" $ test4 f4
   , goldenVsStringShow "basic-4_5" $ test4 f5
   , goldenVsStringShow "basic-5_1" $ test5 f1
   , goldenVsStringShow "basic-5_2" $ test5 f2
   , goldenVsStringShow "basic-5_3" $ test5 f3
   , goldenVsStringShow "basic-5_4" $ test5 f4
   , goldenVsStringShow "basic-5_5" $ test5 f5
   , goldenCapturedIO   "nested1"   $ nested nested1
   , goldenCapturedIO   "nested2"   $ nested nested2
   , goldenCapturedIO   "nested3"   $ nested nested3
   , goldenCapturedIO   "nested4"   $ nested nested4
   ]

test0 :: (forall a. Num a => (a -> a -> a)) -> Word8
test0 f = f (3 :: Word8) 2

test1, test2, test3, test4, test5 :: (forall a. Num a => (a -> a -> a)) -> IO Result
test1 f = runSAT $ do let x = literal (3 :: Word8)
                          y = literal (2 :: Word8)
                      pure $ f x y
test2 f = runSAT $ do let x = literal (3 :: Word8)
                      y :: SWord8 <- free "y"
                      pure $ f x y
test3 f = runSAT $ do x :: SWord8 <- free "x"
                      y :: SWord8 <- free "y"
                      pure $ f x y
test4 f = runSAT $ do x :: SWord8 <- free "x"
                      pure $ f x x
test5 f = runSAT $ do x :: SWord8 <- free "x"
                      let r = f x x
                      q :: SWord8 <- free "q"
                      _ <- output q
                      pure r

f1, f2, f3, f4, f5 :: Num a => a -> a -> a
f1 x y = (x+y)*(x-y)
f2 x y = (x*x)-(y*y)
f3 x y = (x+y)*(x+y)
f4 x y = let z = x + y in z * z
f5 x _ = x + 1

-- Nested calls are not OK; make sure we catch these
nested :: (SMTConfig -> IO a) -> FilePath -> IO ()
nested t rf = do setStdGen (mkStdGen 0)
                 void (t z3{verbose=True, redirectVerbose=Just rf})
                  `C.catch` \(e::C.SomeException) -> do appendFile rf "CAUGHT EXCEPTION\n\n"
                                                        appendFile rf (show e)

nested1 :: SMTConfig -> IO ThmResult
nested1 cfg = proveWith cfg $ do
  x <- free "x"
  y <- free "y"
  liftIO $ f x y
 where f :: SWord32 -> SWord32 -> IO SBool
       f x y = do
         res <- isSatisfiable $ x .== y
         return $ if res then sTrue else sFalse

nested2 :: SMTConfig -> IO ThmResult
nested2 cfg = proveWith cfg $ do
  x <- free "x"
  liftIO $ f x
 where f :: SWord32 -> IO SBool
       f x = do
         res <- isSatisfiable $ x .== 2
         return $ if res then sTrue else sFalse

nested3 :: SMTConfig -> IO ThmResult
nested3 cfg = proveWith cfg $ do
        y <- sBool "y"
        x <- liftIO leak        -- reach in!
        return $ y .== x
  where leak :: IO SBool
        leak = runSMTWith cfg $ do
                        x <- sBool "x"
                        query $ pure x

nested4 :: SMTConfig -> IO Bool
nested4 cfg = do
  d1 <- runSMT (sArray_ :: Symbolic (SArray Bool Bool))

  let sboolOfInterest = readArray d1 sTrue

  isSatisfiableWith cfg sboolOfInterest