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*~ | ||
.curry | ||
.cpm |
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Copyright (c) 2017, Sandra Dylus, Jan Christiansen, Finn Teegen | ||
All rights reserved. | ||
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Redistribution and use in source and binary forms, with or without | ||
modification, are permitted provided that the following conditions are | ||
met: | ||
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1. Redistributions of source code must retain the above copyright | ||
notice, this list of conditions and the following disclaimer. | ||
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2. Redistributions in binary form must reproduce the above copyright | ||
notice, this list of conditions and the following disclaimer in the | ||
documentation and/or other materials provided with the distribution. | ||
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3. Neither the names of the copyright holders nor the names of its | ||
contributors may be used to endorse or promote products derived from | ||
this software without specific prior written permission. | ||
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | ||
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | ||
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | ||
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT | ||
HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | ||
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | ||
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | ||
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | ||
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | ||
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | ||
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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pflp | ||
==== | ||
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This package provides a library for probabilistic function logic programming. |
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{ | ||
"name": "pflp", | ||
"version": "1.0.0", | ||
"author": "Sandra Dylus <[email protected]>, Jan Christiansen <[email protected]>, Finn Teegen <[email protected]>", | ||
"maintainer": "Finn Teegen <[email protected]>", | ||
"synopsis": "Library for Probabilistic Functional Logic Programming", | ||
"category": [ "Programming" ], | ||
"license": "BSD-3-Clause", | ||
"licenseFile": "LICENSE", | ||
"sourceDirs" : [ "src" ], | ||
"exportedModules": [ "PFLP" ], | ||
"dependencies": { | ||
}, | ||
"compilerCompatibility": { | ||
"kics2": "< 2.0.0", | ||
"pakcs": "< 2.0.0" | ||
}, | ||
"source": { | ||
"git": "https://github.com/finnteegen/pflp.git", | ||
"tag": "$version" | ||
} | ||
} |
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--- Library for Probabilistic Functional Logic Programming | ||
--- @author Sandra Dylus, Jan Christiansen, Finn Teegen | ||
--- @version October 2017 | ||
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module PFLP | ||
( Probability | ||
, Dist | ||
, enum | ||
, uniform | ||
, certainly | ||
, (>>>=) | ||
, joinWith | ||
, (??) | ||
, RT | ||
, pick | ||
, replicateDist | ||
) where | ||
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import Float (i2f, (+.), (*.), (/.)) | ||
import Findall (allValues) | ||
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infixl 1 >>>= | ||
infixr 1 ?? | ||
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--- Probabilities. | ||
--- Floating point numbers are used to model probabilities. | ||
type Probability = Float | ||
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--- Probability distributions. | ||
--- Distributions are abstract and can only be created using the functions | ||
--- provided by this library, e.g., 'enum' and 'uniform'. Internally, Curry's | ||
--- built-in non-determinism is used to model distributions with more than one | ||
--- event-probability pair. | ||
data Dist a = Dist { event :: a, prob :: Probability } | ||
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member :: [a] -> a | ||
member = foldr (?) failed | ||
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--- Creates a distribution based on a given list of events and another list | ||
--- providing the corresponding probabilities. This function also ensures that | ||
--- the relevant probabilities add up to `1.0` and are strictly positive. | ||
enum :: [a] -> [Probability] -> Dist a | ||
enum xs ps | ||
| foldl (+.) 0.0 ps' == 1.0 && all (> 0.0) ps' | ||
= member (zipWith Dist xs ps') | ||
| otherwise | ||
= error ("PFLP.enum: probabilities do not add up to 1.0 " ++ | ||
"or are not strictly positive") | ||
where ps' = take (length xs) ps | ||
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--- Creates a uniform distribution based on a given list of events. The list | ||
--- of events must be non-empty. | ||
uniform :: [a] -> Dist a | ||
uniform [] = error "PFLP.uniform: list of events must be non-empty" | ||
uniform xs@(_:_) = enum xs (repeat (1.0 /. i2f (length xs))) | ||
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--- Creates a single-event-distribution with probability `1.0`. | ||
certainly :: a -> Dist a | ||
certainly x = Dist x 1.0 | ||
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--- Combines two (dependent) distributions. | ||
(>>>=) :: Dist a -> (a -> Dist b) -> Dist b | ||
d >>>= f = let Dist x p = d | ||
Dist y q = f x | ||
in Dist y (p *. q) | ||
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--- Combines two (independent) distributions with respect to a given function. | ||
joinWith :: (a -> b -> c) -> Dist a -> Dist b -> Dist c | ||
joinWith f d1 d2 = d1 >>>= \ x -> | ||
d2 >>>= \ y -> | ||
certainly (f x y) | ||
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filterDist :: (a -> Bool) -> Dist a -> Dist a | ||
filterDist p d | p (event d) = d | ||
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--- Queries a distribution for the probabilitiy of events that satisfy a given | ||
--- predicate. | ||
(??) :: (a -> Bool) -> Dist a -> Probability | ||
(??) p = foldr (+.) 0.0 . allValues . prob . filterDist p | ||
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--- Run-time choice values. Currently, the only way to construct a run-time | ||
--- choice value is to explicitly use a lambda abstraction. The evaluation of | ||
--- a run-time choice can be triggered by the function 'pick'. | ||
type RT a = () -> a | ||
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--- Triggers the evaluation of a run-time choice value (see type synonym 'RT'). | ||
--- Everytime a run-time choice value is evaluated, a new choice is made. | ||
pick :: RT a -> a | ||
pick rt = rt () | ||
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--- Independently replicates a distribution a given number of times. In order | ||
--- to behave properly, the given distribution is required to be a run-time | ||
--- choice value (see type synonym 'RT'). | ||
replicateDist :: Int -> RT (Dist a) -> Dist [a] | ||
replicateDist n rt | ||
| n == 0 = certainly [] | ||
| otherwise = joinWith (:) (pick rt) (replicateDist (n - 1) rt) |