Data.Lambda.Random

Boltzmann samplers for plain and closed h-shallow lambda terms (closed lambda terms in which each de Bruijn index is bounded by h).

The exact outcome size of a Boltzmann sampler is a random variable. Its moments, in particular expectation, can be calibrated by adjusting the formal evaluation parameter (see Data.Lambda.Random.System or Data.Lambda.Random.PlainSystem). Boltzmann samplers guarantee that terms of equal size have equal probability of being chosen.

Closed h-shallow lambda terms

closedShallowLambda

Arguments

:: (Random a, Num a, Ord a, Integral b, RandomGen g)

=> Sampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> Rand g Lambda

The monadic result.

Samples a random closed h-shallow lambda term in the given size range.

closedShallowLambdaIO

Arguments

:: (Random a, Num a, Ord a, Integral b)

=> Sampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> IO Lambda

The monadic result.

Samples a random closed h-shallow lambda term in the given size range using the IO monad. See closedShallowLambda for more details.

Filter samplers for closed h-shallow lambda terms

filterClosedShallow

Arguments

:: (Random a, Num a, Ord a, Integral b, RandomGen g)

=> (Lambda -> Bool)

Filter function to use.

-> Sampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> Rand g Lambda

The monadic result.

Samples a random closed h-shallow lambda term in the given size range. In addition, the term has to satisfy the given predicate. See also closedShallowLambda.

filterClosedShallowIO

Arguments

:: (Random a, Num a, Ord a, Integral b)

=> (Lambda -> Bool)

Filter function to use.

-> Sampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> IO Lambda

The monadic result.

Samples a random closed h-shallow lambda term in the given size range. In addition, the term has to satisfy the given predicate. The IO monad is used as the source of random numbers. See also filterClosedShallow.

Closed lambda terms

closedLambda

Arguments

:: (Random a, Num a, Ord a, Integral b, RandomGen g)

=> MixedSampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> Rand g Lambda

The monadic result.

Samples a random closed lambda term in the given size range.

closedLambdaIO

Arguments

:: (Random a, Num a, Ord a, Integral b)

=> MixedSampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> IO Lambda

The monadic result.

Samples a random closed lambda term in the given size range using the IO monad. See closedLambda for more details.

Filter samplers for plain lambda terms

filterClosed

Arguments

:: (Random a, Num a, Ord a, Integral b, RandomGen g)

=> (Lambda -> Bool)

Filter function to use.

-> MixedSampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> Rand g Lambda

The monadic result.

Samples a random closed lambda term in the given size range In addition, the term has to satisfy the given predicate. See also closedLambda.

filterClosedIO

Arguments

:: (Random a, Num a, Ord a, Integral b)

=> (Lambda -> Bool)

Filter function to use.

-> MixedSampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> IO Lambda

The monadic result.

Samples a random closed lambda term in the given size range. In addition, the term has to satisfy the given predicate. The IO monad is used as the source of random numbers. See also filterClosed.

Plain lambda terms

plainLambda

Arguments

:: (Random a, Num a, Ord a, Integral b, RandomGen g)

=> PlainSampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> Rand g Lambda

The monadic result.

Samples a random plain lambda term in the given size range.

plainLambdaIO

Arguments

:: (Random a, Num a, Ord a, Integral b)

=> PlainSampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> IO Lambda

The monadic result.

Samples a random plain lambda term in the given size range using the IO monad. See plainLambda for more details.

Filter samplers for plain lambda terms

filterPlain

Arguments

:: (Random a, Num a, Ord a, Integral b, RandomGen g)

=> (Lambda -> Bool)

Filter function to use.

-> PlainSampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> Rand g Lambda

The monadic result.

Samples a random plain lambda term in the given size range. In addition, the term has to satisfy the given predicate. See also plainLambda.

filterPlainIO

Arguments

:: (Random a, Num a, Ord a, Integral b)

=> (Lambda -> Bool)

Filter function to use.

-> PlainSampler a b

Boltzmann sampler to use.

-> b

Outcome size lower bound.

-> b

Outcome size upper bound.

-> IO Lambda

The monadic result.

Samples a random plain lambda term in the given size range. In addition, the term has to satisfy the given predicate. The IO monad is used as the source of random numbers. See also filterPlain.