Add notebook for continuations
Signed-off-by: Sanchayan Maity <maitysanchayan@gmail.com>
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174
continuations.ipynb
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174
continuations.ipynb
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".suggestion-warning { \n",
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".suggestion-name {\n",
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"font-weight: bold;\n",
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"}\n",
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"</style><span class='get-type'>(>>-) :: forall r a. MCont r a -> (a -> r) -> r</span>"
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],
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"text/plain": [
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"(>>-) :: forall r a. MCont r a -> (a -> r) -> r"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"newtype MCont r a = MCont { (>>-) :: (a -> r) -> r }\n",
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"\n",
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":t (>>-)\n",
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"\n",
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"instance Functor (MCont r) where\n",
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" fmap f cra = MCont $ \\k -> cra >>- \\a -> k (f a)\n",
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" \n",
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"instance Applicative (MCont r) where\n",
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" pure a = MCont $ \\aTor -> aTor a\n",
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" cf <*> cx = MCont $ \\bTor ->\n",
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" cx >>- \\a ->\n",
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" cf >>- \\f ->\n",
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" bTor (f a)\n",
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" \n",
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"instance Monad (MCont r) where\n",
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" return = pure\n",
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" cra >>= f = MCont $ \\bTor ->\n",
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" cra >>- \\a ->\n",
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" (f a) >>- \\b ->\n",
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" bTor b\n",
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" \n",
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"join' :: MCont r (MCont r a) -> MCont r a\n",
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"join' ccx = MCont $ \\k ->\n",
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" ccx >>- \\cx -> -- extract inner continuation\n",
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" cx >>- \\x -> -- extract value of inner continuation\n",
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" k x -- wrap value in k again"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"square :: Int -> MCont r Int\n",
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"square x = MCont $ \\k -> k (x ^ 2)\n",
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"\n",
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"add :: Int -> Int -> MCont r Int\n",
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"add x y = MCont $ \\k -> k (x + y)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {},
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"outputs": [],
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"source": [
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"pythagoras :: Int -> Int -> MCont r Int\n",
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"pythagoras x y = do\n",
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" xsquare <- square x\n",
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" ysquare <- square y\n",
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" add xsquare ysquare"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Haskell",
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"language": "haskell",
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"name": "haskell"
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},
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"language_info": {
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"codemirror_mode": "ihaskell",
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"file_extension": ".hs",
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"name": "haskell",
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"pygments_lexer": "Haskell",
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"version": "8.6.5"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 4
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}
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