haskell-notebooks/continuations.ipynb

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"</style><span class='get-type'>(>>-) :: forall r a. MCont r a -> (a -> r) -> r</span>"
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"(>>-) :: forall r a. MCont r a -> (a -> r) -> r"
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"newtype MCont r a = MCont { (>>-) :: (a -> r) -> r }\n",
"\n",
":t (>>-)\n",
"\n",
"instance Functor (MCont r) where\n",
" fmap f cra = MCont $ \\k -> cra >>- \\a -> k (f a)\n",
" \n",
"instance Applicative (MCont r) where\n",
" pure a = MCont $ \\aTor -> aTor a\n",
" cf <*> cx = MCont $ \\bTor ->\n",
" cx >>- \\a ->\n",
" cf >>- \\f ->\n",
" bTor (f a)\n",
" \n",
"instance Monad (MCont r) where\n",
" return = pure\n",
" cra >>= f = MCont $ \\bTor ->\n",
" cra >>- \\a ->\n",
" (f a) >>- \\b ->\n",
" bTor b\n",
" \n",
"join' :: MCont r (MCont r a) -> MCont r a\n",
"join' ccx = MCont $ \\k ->\n",
" ccx >>- \\cx -> -- extract inner continuation\n",
" cx >>- \\x -> -- extract value of inner continuation\n",
" k x -- wrap value in k again"
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"square :: Int -> MCont r Int\n",
"square x = MCont $ \\k -> k (x ^ 2)\n",
"\n",
"add :: Int -> Int -> MCont r Int\n",
"add x y = MCont $ \\k -> k (x + y)"
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"pythagoras :: Int -> Int -> MCont r Int\n",
"pythagoras x y = do\n",
" xsquare <- square x\n",
" ysquare <- square y\n",
" add xsquare ysquare"
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