hydra-kernel-0.17.3: src/main/haskell/Hydra/Lib/Optionals.hs

-- Note: this is an automatically generated file. Do not edit.

-- | Primitives in the hydra.lib.optionals module.

module Hydra.Lib.Optionals where

import qualified Hydra.Ast as Ast
import qualified Hydra.Coders as Coders
import qualified Hydra.Core as Core
import qualified Hydra.Docs as Docs
import qualified Hydra.Error.Checking as Checking
import qualified Hydra.Error.Core as ErrorCore
import qualified Hydra.Error.File as ErrorFile
import qualified Hydra.Error.Packaging as ErrorPackaging
import qualified Hydra.Error.System as ErrorSystem
import qualified Hydra.Errors as Errors
import qualified Hydra.File as File
import qualified Hydra.Graph as Graph
import qualified Hydra.Json.Model as Model
import qualified Hydra.Packaging as Packaging
import qualified Hydra.Parsing as Parsing
import qualified Hydra.Paths as Paths
import qualified Hydra.Query as Query
import qualified Hydra.Regex as Regex
import qualified Hydra.Relational as Relational
import qualified Hydra.System as System
import qualified Hydra.Tabular as Tabular
import qualified Hydra.Testing as Testing
import qualified Hydra.Time as Time
import qualified Hydra.Topology as Topology
import qualified Hydra.Typed as Typed
import qualified Hydra.Typing as Typing
import qualified Hydra.Util as Util
import qualified Hydra.Validation as Validation
import qualified Hydra.Variants as Variants
import Prelude hiding  (Enum, Ordering, decodeFloat, encodeFloat, fail, map, pure, sum)
import qualified Data.Scientific as Sci

apply :: Packaging.PrimitiveDefinition
apply =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.apply"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Applicative apply for optionals: combine an optional function and an optional argument."),
        Packaging.entityMetadataComments = [
          "apply(mf, mx) returns given(f x) when mf is given(f) and mx is given(x), and none if either is none.",
          "The applicative apply for optionals; threads a function-in-context with a value-in-context.",
          "Total. Corresponds to Haskell's (<*>) :: Maybe (a -> b) -> Maybe a -> Maybe b."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []},
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "y"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "mf"),
            Typing.parameterDescription = (Just "the optional function"),
            Typing.parameterType = (Core.TypeOptional (Core.TypeFunction (Core.FunctionType {
              Core.functionTypeDomain = (Core.TypeVariable (Core.Name "x")),
              Core.functionTypeCodomain = (Core.TypeVariable (Core.Name "y"))}))),
            Typing.parameterIsLazy = False},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "mx"),
            Typing.parameterDescription = (Just "the optional argument"),
            Typing.parameterType = (Core.TypeOptional (Core.TypeVariable (Core.Name "x"))),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeOptional (Core.TypeVariable (Core.Name "y")))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "mf"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermLambda (Core.Lambda {
          Core.lambdaParameter = (Core.Name "mx"),
          Core.lambdaDomain = Nothing,
          Core.lambdaBody = (Core.TermApplication (Core.Application {
            Core.applicationFunction = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.bind")),
              Core.applicationArgument = (Core.TermVariable (Core.Name "mf"))})),
            Core.applicationArgument = (Core.TermLambda (Core.Lambda {
              Core.lambdaParameter = (Core.Name "f"),
              Core.lambdaDomain = Nothing,
              Core.lambdaBody = (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermApplication (Core.Application {
                  Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.map")),
                  Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                    Core.lambdaParameter = (Core.Name "x"),
                    Core.lambdaDomain = Nothing,
                    Core.lambdaBody = (Core.TermApplication (Core.Application {
                      Core.applicationFunction = (Core.TermVariable (Core.Name "f")),
                      Core.applicationArgument = (Core.TermVariable (Core.Name "x"))}))}))})),
                Core.applicationArgument = (Core.TermVariable (Core.Name "mx"))}))}))}))}))})))}

bind :: Packaging.PrimitiveDefinition
bind =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.bind"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Monadic bind for optionals."),
        Packaging.entityMetadataComments = [
          "bind(m, f) returns f(x) when m is given(x), and none when m is none.",
          "The monadic bind for optionals; used to chain computations that may be absent.",
          "Total. Corresponds to Haskell's (>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []},
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "y"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "m"),
            Typing.parameterDescription = (Just "the optional value to bind"),
            Typing.parameterType = (Core.TypeOptional (Core.TypeVariable (Core.Name "x"))),
            Typing.parameterIsLazy = False},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "f"),
            Typing.parameterDescription = (Just "the continuation to apply to the contained value"),
            Typing.parameterType = (Core.TypeFunction (Core.FunctionType {
              Core.functionTypeDomain = (Core.TypeVariable (Core.Name "x")),
              Core.functionTypeCodomain = (Core.TypeOptional (Core.TypeVariable (Core.Name "y")))})),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeOptional (Core.TypeVariable (Core.Name "y")))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "m"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermLambda (Core.Lambda {
          Core.lambdaParameter = (Core.Name "f"),
          Core.lambdaDomain = Nothing,
          Core.lambdaBody = (Core.TermApplication (Core.Application {
            Core.applicationFunction = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.cases")),
                Core.applicationArgument = (Core.TermVariable (Core.Name "m"))})),
              Core.applicationArgument = (Core.TermOptional Nothing)})),
            Core.applicationArgument = (Core.TermVariable (Core.Name "f"))}))}))})))}

cases :: Packaging.PrimitiveDefinition
cases =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.cases"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Case analysis on an optional, with cases-style argument order."),
        Packaging.entityMetadataComments = [
          "cases(m, def, f) returns f(x) when m is given(x), and def when m is none.",
          "The fundamental eliminator for the optional type; every other primitive in this namespace can be derived from it. The optional value is the first argument, matching the convention for case-statement-like elimination.",
          "Total. Argument order is (m, def, f) rather than Haskell's maybe :: (def, f, m)."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []},
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "y"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "m"),
            Typing.parameterDescription = (Just "the optional value to eliminate"),
            Typing.parameterType = (Core.TypeOptional (Core.TypeVariable (Core.Name "x"))),
            Typing.parameterIsLazy = False},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "def"),
            Typing.parameterDescription = (Just "the value to return when the optional is none"),
            Typing.parameterType = (Core.TypeVariable (Core.Name "y")),
            Typing.parameterIsLazy = True},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "f"),
            Typing.parameterDescription = (Just "the function to apply to the contained value when the optional is given"),
            Typing.parameterType = (Core.TypeFunction (Core.FunctionType {
              Core.functionTypeDomain = (Core.TypeVariable (Core.Name "x")),
              Core.functionTypeCodomain = (Core.TypeVariable (Core.Name "y"))})),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeVariable (Core.Name "y"))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = Nothing}

compose :: Packaging.PrimitiveDefinition
compose =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.compose"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Kleisli composition for optionals."),
        Packaging.entityMetadataComments = [
          "compose(f, g, x) returns the Kleisli composition of f and g applied to x: bind(f(x), g).",
          "If either f or the second stage produces none, the result is none.",
          "Total. Corresponds to Haskell's Kleisli composition for Maybe, (>=>) :: (a -> Maybe b) -> (b -> Maybe c) -> a -> Maybe c."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []},
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "y"),
            Typing.typeParameterConstraints = []},
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "z"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "f"),
            Typing.parameterDescription = (Just "the first Kleisli arrow"),
            Typing.parameterType = (Core.TypeFunction (Core.FunctionType {
              Core.functionTypeDomain = (Core.TypeVariable (Core.Name "x")),
              Core.functionTypeCodomain = (Core.TypeOptional (Core.TypeVariable (Core.Name "y")))})),
            Typing.parameterIsLazy = False},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "g"),
            Typing.parameterDescription = (Just "the second Kleisli arrow"),
            Typing.parameterType = (Core.TypeFunction (Core.FunctionType {
              Core.functionTypeDomain = (Core.TypeVariable (Core.Name "y")),
              Core.functionTypeCodomain = (Core.TypeOptional (Core.TypeVariable (Core.Name "z")))})),
            Typing.parameterIsLazy = False},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "x"),
            Typing.parameterDescription = (Just "the value to apply the composition to"),
            Typing.parameterType = (Core.TypeVariable (Core.Name "x")),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeOptional (Core.TypeVariable (Core.Name "z")))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "f"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermLambda (Core.Lambda {
          Core.lambdaParameter = (Core.Name "g"),
          Core.lambdaDomain = Nothing,
          Core.lambdaBody = (Core.TermLambda (Core.Lambda {
            Core.lambdaParameter = (Core.Name "x"),
            Core.lambdaDomain = Nothing,
            Core.lambdaBody = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.bind")),
                Core.applicationArgument = (Core.TermApplication (Core.Application {
                  Core.applicationFunction = (Core.TermVariable (Core.Name "f")),
                  Core.applicationArgument = (Core.TermVariable (Core.Name "x"))}))})),
              Core.applicationArgument = (Core.TermVariable (Core.Name "g"))}))}))}))})))}

foldList :: Packaging.PrimitiveDefinition
foldList =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.foldList"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Left-fold over a list with an optional-returning function, short-circuiting on none."),
        Packaging.entityMetadataComments = [
          "foldList(f, acc, xs) folds f over xs from the left, iterating while each application yields given, and returns none as soon as any step yields none. If every element is processed, the result is given of the final accumulator.",
          "foldList(f, acc, xs) is lists.foldl(\\m y -> bind(m, \\x -> f(x, y)), pure(acc), xs); this defining equation is the specification, and the default implementation.",
          "Total. Corresponds to a short-circuiting foldM specialised to Maybe."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []},
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "y"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "f"),
            Typing.parameterDescription = (Just "the optional-returning step function"),
            Typing.parameterType = (Core.TypeFunction (Core.FunctionType {
              Core.functionTypeDomain = (Core.TypeVariable (Core.Name "x")),
              Core.functionTypeCodomain = (Core.TypeFunction (Core.FunctionType {
                Core.functionTypeDomain = (Core.TypeVariable (Core.Name "y")),
                Core.functionTypeCodomain = (Core.TypeOptional (Core.TypeVariable (Core.Name "x")))}))})),
            Typing.parameterIsLazy = False},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "acc"),
            Typing.parameterDescription = (Just "the initial accumulator"),
            Typing.parameterType = (Core.TypeVariable (Core.Name "x")),
            Typing.parameterIsLazy = False},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "xs"),
            Typing.parameterDescription = (Just "the list to fold over"),
            Typing.parameterType = (Core.TypeList (Core.TypeVariable (Core.Name "y"))),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeOptional (Core.TypeVariable (Core.Name "x")))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "f"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermLambda (Core.Lambda {
          Core.lambdaParameter = (Core.Name "acc"),
          Core.lambdaDomain = Nothing,
          Core.lambdaBody = (Core.TermLambda (Core.Lambda {
            Core.lambdaParameter = (Core.Name "xs"),
            Core.lambdaDomain = Nothing,
            Core.lambdaBody = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermApplication (Core.Application {
                  Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.lists.foldl")),
                  Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                    Core.lambdaParameter = (Core.Name "m"),
                    Core.lambdaDomain = Nothing,
                    Core.lambdaBody = (Core.TermLambda (Core.Lambda {
                      Core.lambdaParameter = (Core.Name "y"),
                      Core.lambdaDomain = Nothing,
                      Core.lambdaBody = (Core.TermApplication (Core.Application {
                        Core.applicationFunction = (Core.TermApplication (Core.Application {
                          Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.bind")),
                          Core.applicationArgument = (Core.TermVariable (Core.Name "m"))})),
                        Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                          Core.lambdaParameter = (Core.Name "x"),
                          Core.lambdaDomain = Nothing,
                          Core.lambdaBody = (Core.TermApplication (Core.Application {
                            Core.applicationFunction = (Core.TermApplication (Core.Application {
                              Core.applicationFunction = (Core.TermVariable (Core.Name "f")),
                              Core.applicationArgument = (Core.TermVariable (Core.Name "x"))})),
                            Core.applicationArgument = (Core.TermVariable (Core.Name "y"))}))}))}))}))}))})),
                Core.applicationArgument = (Core.TermApplication (Core.Application {
                  Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.pure")),
                  Core.applicationArgument = (Core.TermVariable (Core.Name "acc"))}))})),
              Core.applicationArgument = (Core.TermVariable (Core.Name "xs"))}))}))}))})))}

givens :: Packaging.PrimitiveDefinition
givens =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.givens"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Concatenate optionals, keeping only the present values."),
        Packaging.entityMetadataComments = [
          "givens(xs) returns the list of contained values from given elements of xs, in original order; none elements are discarded.",
          "Total. Corresponds to Haskell's Data.Maybe.catMaybes :: [Maybe a] -> [a]."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "xs"),
            Typing.parameterDescription = (Just "the list of optionals to concatenate"),
            Typing.parameterType = (Core.TypeList (Core.TypeOptional (Core.TypeVariable (Core.Name "x")))),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeList (Core.TypeVariable (Core.Name "x")))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "xs"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermApplication (Core.Application {
          Core.applicationFunction = (Core.TermApplication (Core.Application {
            Core.applicationFunction = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.lists.foldr")),
              Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                Core.lambdaParameter = (Core.Name "m"),
                Core.lambdaDomain = Nothing,
                Core.lambdaBody = (Core.TermLambda (Core.Lambda {
                  Core.lambdaParameter = (Core.Name "acc"),
                  Core.lambdaDomain = Nothing,
                  Core.lambdaBody = (Core.TermApplication (Core.Application {
                    Core.applicationFunction = (Core.TermApplication (Core.Application {
                      Core.applicationFunction = (Core.TermApplication (Core.Application {
                        Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.cases")),
                        Core.applicationArgument = (Core.TermVariable (Core.Name "m"))})),
                      Core.applicationArgument = (Core.TermVariable (Core.Name "acc"))})),
                    Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                      Core.lambdaParameter = (Core.Name "v"),
                      Core.lambdaDomain = Nothing,
                      Core.lambdaBody = (Core.TermApplication (Core.Application {
                        Core.applicationFunction = (Core.TermApplication (Core.Application {
                          Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.lists.cons")),
                          Core.applicationArgument = (Core.TermVariable (Core.Name "v"))})),
                        Core.applicationArgument = (Core.TermVariable (Core.Name "acc"))}))}))}))}))}))})),
            Core.applicationArgument = (Core.TermList [])})),
          Core.applicationArgument = (Core.TermVariable (Core.Name "xs"))}))})))}

isGiven :: Packaging.PrimitiveDefinition
isGiven =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.isGiven"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Test whether an optional is present (given)."),
        Packaging.entityMetadataComments = [
          "isGiven(m) returns true iff m is a given variant.",
          "Total. Corresponds to Haskell's Data.Maybe.isJust :: Maybe a -> Bool."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "m"),
            Typing.parameterDescription = (Just "the optional to test"),
            Typing.parameterType = (Core.TypeOptional (Core.TypeVariable (Core.Name "x"))),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeLiteral Core.LiteralTypeBoolean)}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "m"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermApplication (Core.Application {
          Core.applicationFunction = (Core.TermApplication (Core.Application {
            Core.applicationFunction = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.cases")),
              Core.applicationArgument = (Core.TermVariable (Core.Name "m"))})),
            Core.applicationArgument = (Core.TermLiteral (Core.LiteralBoolean False))})),
          Core.applicationArgument = (Core.TermLambda (Core.Lambda {
            Core.lambdaParameter = (Core.Name "_"),
            Core.lambdaDomain = Nothing,
            Core.lambdaBody = (Core.TermLiteral (Core.LiteralBoolean True))}))}))})))}

isNone :: Packaging.PrimitiveDefinition
isNone =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.isNone"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Test whether an optional is absent (none)."),
        Packaging.entityMetadataComments = [
          "isNone(m) returns true iff m is the none variant.",
          "Total. Corresponds to Haskell's Data.Maybe.isNothing :: Maybe a -> Bool."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "m"),
            Typing.parameterDescription = (Just "the optional to test"),
            Typing.parameterType = (Core.TypeOptional (Core.TypeVariable (Core.Name "x"))),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeLiteral Core.LiteralTypeBoolean)}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "m"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermApplication (Core.Application {
          Core.applicationFunction = (Core.TermApplication (Core.Application {
            Core.applicationFunction = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.cases")),
              Core.applicationArgument = (Core.TermVariable (Core.Name "m"))})),
            Core.applicationArgument = (Core.TermLiteral (Core.LiteralBoolean True))})),
          Core.applicationArgument = (Core.TermLambda (Core.Lambda {
            Core.lambdaParameter = (Core.Name "_"),
            Core.lambdaDomain = Nothing,
            Core.lambdaBody = (Core.TermLiteral (Core.LiteralBoolean False))}))}))})))}

map :: Packaging.PrimitiveDefinition
map =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.map"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Map a function over an optional."),
        Packaging.entityMetadataComments = [
          "map(f, m) returns given(f x) when m is given(x), and none when m is none.",
          "The functor instance for optionals.",
          "Total. Corresponds to Haskell's fmap :: (a -> b) -> Maybe a -> Maybe b."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []},
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "y"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "f"),
            Typing.parameterDescription = (Just "the function to apply to the contained value"),
            Typing.parameterType = (Core.TypeFunction (Core.FunctionType {
              Core.functionTypeDomain = (Core.TypeVariable (Core.Name "x")),
              Core.functionTypeCodomain = (Core.TypeVariable (Core.Name "y"))})),
            Typing.parameterIsLazy = False},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "m"),
            Typing.parameterDescription = (Just "the optional to map over"),
            Typing.parameterType = (Core.TypeOptional (Core.TypeVariable (Core.Name "x"))),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeOptional (Core.TypeVariable (Core.Name "y")))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "f"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermLambda (Core.Lambda {
          Core.lambdaParameter = (Core.Name "m"),
          Core.lambdaDomain = Nothing,
          Core.lambdaBody = (Core.TermApplication (Core.Application {
            Core.applicationFunction = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.cases")),
                Core.applicationArgument = (Core.TermVariable (Core.Name "m"))})),
              Core.applicationArgument = (Core.TermOptional Nothing)})),
            Core.applicationArgument = (Core.TermLambda (Core.Lambda {
              Core.lambdaParameter = (Core.Name "x"),
              Core.lambdaDomain = Nothing,
              Core.lambdaBody = (Core.TermOptional (Just (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermVariable (Core.Name "f")),
                Core.applicationArgument = (Core.TermVariable (Core.Name "x"))}))))}))}))}))})))}

mapList :: Packaging.PrimitiveDefinition
mapList =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.mapList"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Traverse a list in the optional monad."),
        Packaging.entityMetadataComments = [
          "mapList(f, xs) applies f to each element of xs. If every application yields given, the result is given of the list of contained values, in their original order. The result is none as soon as any application yields none.",
          "Total. Corresponds to Haskell's traverse :: (a -> Maybe b) -> [a] -> Maybe [b]."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []},
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "y"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "f"),
            Typing.parameterDescription = (Just "the optional-returning function to apply to each element"),
            Typing.parameterType = (Core.TypeFunction (Core.FunctionType {
              Core.functionTypeDomain = (Core.TypeVariable (Core.Name "x")),
              Core.functionTypeCodomain = (Core.TypeOptional (Core.TypeVariable (Core.Name "y")))})),
            Typing.parameterIsLazy = False},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "xs"),
            Typing.parameterDescription = (Just "the list to traverse"),
            Typing.parameterType = (Core.TypeList (Core.TypeVariable (Core.Name "x"))),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeOptional (Core.TypeList (Core.TypeVariable (Core.Name "y"))))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "f"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermLambda (Core.Lambda {
          Core.lambdaParameter = (Core.Name "xs"),
          Core.lambdaDomain = Nothing,
          Core.lambdaBody = (Core.TermApplication (Core.Application {
            Core.applicationFunction = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.lists.foldr")),
                Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                  Core.lambdaParameter = (Core.Name "x"),
                  Core.lambdaDomain = Nothing,
                  Core.lambdaBody = (Core.TermLambda (Core.Lambda {
                    Core.lambdaParameter = (Core.Name "acc"),
                    Core.lambdaDomain = Nothing,
                    Core.lambdaBody = (Core.TermApplication (Core.Application {
                      Core.applicationFunction = (Core.TermApplication (Core.Application {
                        Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.bind")),
                        Core.applicationArgument = (Core.TermApplication (Core.Application {
                          Core.applicationFunction = (Core.TermVariable (Core.Name "f")),
                          Core.applicationArgument = (Core.TermVariable (Core.Name "x"))}))})),
                      Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                        Core.lambdaParameter = (Core.Name "y"),
                        Core.lambdaDomain = Nothing,
                        Core.lambdaBody = (Core.TermApplication (Core.Application {
                          Core.applicationFunction = (Core.TermApplication (Core.Application {
                            Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.map")),
                            Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                              Core.lambdaParameter = (Core.Name "ys"),
                              Core.lambdaDomain = Nothing,
                              Core.lambdaBody = (Core.TermApplication (Core.Application {
                                Core.applicationFunction = (Core.TermApplication (Core.Application {
                                  Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.lists.cons")),
                                  Core.applicationArgument = (Core.TermVariable (Core.Name "y"))})),
                                Core.applicationArgument = (Core.TermVariable (Core.Name "ys"))}))}))})),
                          Core.applicationArgument = (Core.TermVariable (Core.Name "acc"))}))}))}))}))}))})),
              Core.applicationArgument = (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.pure")),
                Core.applicationArgument = (Core.TermList [])}))})),
            Core.applicationArgument = (Core.TermVariable (Core.Name "xs"))}))}))})))}

mapOptional :: Packaging.PrimitiveDefinition
mapOptional =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.mapOptional"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Map a partial function over a list, keeping only the present results."),
        Packaging.entityMetadataComments = [
          "mapOptional(f, xs) applies f to each element of xs and returns the list of contained values from given results in original order; none results are discarded.",
          "Total. Corresponds to Haskell's Data.Maybe.mapMaybe :: (a -> Maybe b) -> [a] -> [b]."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []},
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "y"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "f"),
            Typing.parameterDescription = (Just "the partial function to apply to each element"),
            Typing.parameterType = (Core.TypeFunction (Core.FunctionType {
              Core.functionTypeDomain = (Core.TypeVariable (Core.Name "x")),
              Core.functionTypeCodomain = (Core.TypeOptional (Core.TypeVariable (Core.Name "y")))})),
            Typing.parameterIsLazy = False},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "xs"),
            Typing.parameterDescription = (Just "the list to map over"),
            Typing.parameterType = (Core.TypeList (Core.TypeVariable (Core.Name "x"))),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeList (Core.TypeVariable (Core.Name "y")))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "f"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermLambda (Core.Lambda {
          Core.lambdaParameter = (Core.Name "xs"),
          Core.lambdaDomain = Nothing,
          Core.lambdaBody = (Core.TermApplication (Core.Application {
            Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.givens")),
            Core.applicationArgument = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.lists.map")),
                Core.applicationArgument = (Core.TermVariable (Core.Name "f"))})),
              Core.applicationArgument = (Core.TermVariable (Core.Name "xs"))}))}))}))})))}

mapSet :: Packaging.PrimitiveDefinition
mapSet =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.mapSet"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Traverse a set in the optional monad."),
        Packaging.entityMetadataComments = [
          "mapSet(f, s) applies f to each element of s. If every application yields given, the result is given of the set of contained values, deduplicated by the result type's ordering. The result is none as soon as any application yields none.",
          "Requires 'ordering' constraints on both element types (the set type contract).",
          "Total. Corresponds to a traverse-style operation specialised to Set in the Maybe monad."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = [
              Core.TypeClassConstraintSimple (Core.Name "ordering")]},
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "y"),
            Typing.typeParameterConstraints = [
              Core.TypeClassConstraintSimple (Core.Name "ordering")]}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "f"),
            Typing.parameterDescription = (Just "the optional-returning function to apply to each element"),
            Typing.parameterType = (Core.TypeFunction (Core.FunctionType {
              Core.functionTypeDomain = (Core.TypeVariable (Core.Name "x")),
              Core.functionTypeCodomain = (Core.TypeOptional (Core.TypeVariable (Core.Name "y")))})),
            Typing.parameterIsLazy = False},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "s"),
            Typing.parameterDescription = (Just "the set to traverse"),
            Typing.parameterType = (Core.TypeSet (Core.TypeVariable (Core.Name "x"))),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeOptional (Core.TypeSet (Core.TypeVariable (Core.Name "y"))))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "f"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermLambda (Core.Lambda {
          Core.lambdaParameter = (Core.Name "s"),
          Core.lambdaDomain = Nothing,
          Core.lambdaBody = (Core.TermApplication (Core.Application {
            Core.applicationFunction = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.map")),
              Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                Core.lambdaParameter = (Core.Name "ys"),
                Core.lambdaDomain = Nothing,
                Core.lambdaBody = (Core.TermApplication (Core.Application {
                  Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.sets.fromList")),
                  Core.applicationArgument = (Core.TermVariable (Core.Name "ys"))}))}))})),
            Core.applicationArgument = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermApplication (Core.Application {
                  Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.lists.foldr")),
                  Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                    Core.lambdaParameter = (Core.Name "x"),
                    Core.lambdaDomain = Nothing,
                    Core.lambdaBody = (Core.TermLambda (Core.Lambda {
                      Core.lambdaParameter = (Core.Name "acc"),
                      Core.lambdaDomain = Nothing,
                      Core.lambdaBody = (Core.TermApplication (Core.Application {
                        Core.applicationFunction = (Core.TermApplication (Core.Application {
                          Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.bind")),
                          Core.applicationArgument = (Core.TermApplication (Core.Application {
                            Core.applicationFunction = (Core.TermVariable (Core.Name "f")),
                            Core.applicationArgument = (Core.TermVariable (Core.Name "x"))}))})),
                        Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                          Core.lambdaParameter = (Core.Name "y"),
                          Core.lambdaDomain = Nothing,
                          Core.lambdaBody = (Core.TermApplication (Core.Application {
                            Core.applicationFunction = (Core.TermApplication (Core.Application {
                              Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.map")),
                              Core.applicationArgument = (Core.TermLambda (Core.Lambda {
                                Core.lambdaParameter = (Core.Name "ys"),
                                Core.lambdaDomain = Nothing,
                                Core.lambdaBody = (Core.TermApplication (Core.Application {
                                  Core.applicationFunction = (Core.TermApplication (Core.Application {
                                    Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.lists.cons")),
                                    Core.applicationArgument = (Core.TermVariable (Core.Name "y"))})),
                                  Core.applicationArgument = (Core.TermVariable (Core.Name "ys"))}))}))})),
                            Core.applicationArgument = (Core.TermVariable (Core.Name "acc"))}))}))}))}))}))})),
                Core.applicationArgument = (Core.TermApplication (Core.Application {
                  Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.pure")),
                  Core.applicationArgument = (Core.TermList [])}))})),
              Core.applicationArgument = (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.sets.toList")),
                Core.applicationArgument = (Core.TermVariable (Core.Name "s"))}))}))}))}))})))}

pure :: Packaging.PrimitiveDefinition
pure =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.pure"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Wrap a value in given."),
        Packaging.entityMetadataComments = [
          "pure(x) = given(x). The applicative pure for optionals.",
          "Total. Corresponds to Haskell's pure :: a -> Maybe a / Just."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "x"),
            Typing.parameterDescription = (Just "the value to wrap in given"),
            Typing.parameterType = (Core.TypeVariable (Core.Name "x")),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeOptional (Core.TypeVariable (Core.Name "x")))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "x"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermOptional (Just (Core.TermVariable (Core.Name "x"))))})))}

toList :: Packaging.PrimitiveDefinition
toList =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.toList"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Convert an optional to a list: given x maps to [x], none to []."),
        Packaging.entityMetadataComments = [
          "toList(m) returns [x] when m is given(x), and the empty list when m is none.",
          "Total. Corresponds to Haskell's Data.Maybe.maybeToList :: Maybe a -> [a]."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "m"),
            Typing.parameterDescription = (Just "the optional to convert"),
            Typing.parameterType = (Core.TypeOptional (Core.TypeVariable (Core.Name "x"))),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeList (Core.TypeVariable (Core.Name "x")))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "m"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermApplication (Core.Application {
          Core.applicationFunction = (Core.TermApplication (Core.Application {
            Core.applicationFunction = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.cases")),
              Core.applicationArgument = (Core.TermVariable (Core.Name "m"))})),
            Core.applicationArgument = (Core.TermList [])})),
          Core.applicationArgument = (Core.TermLambda (Core.Lambda {
            Core.lambdaParameter = (Core.Name "x"),
            Core.lambdaDomain = Nothing,
            Core.lambdaBody = (Core.TermList [
              Core.TermVariable (Core.Name "x")])}))}))})))}

withDefault :: Packaging.PrimitiveDefinition
withDefault =
    Packaging.PrimitiveDefinition {
      Packaging.primitiveDefinitionName = (Core.Name "hydra.lib.optionals.withDefault"),
      Packaging.primitiveDefinitionMetadata = (Just (Packaging.EntityMetadata {
        Packaging.entityMetadataDescription = (Just "Return the value contained in an optional, falling back to a default if absent."),
        Packaging.entityMetadataComments = [
          "withDefault(def, m) returns x when m is given(x), and def when m is none.",
          "Total. Corresponds to Haskell's Data.Maybe.fromMaybe :: a -> Maybe a -> a."],
        Packaging.entityMetadataSeeAlso = [],
        Packaging.entityMetadataLifecycle = Nothing})),
      Packaging.primitiveDefinitionSignature = Typing.TermSignature {
        Typing.termSignatureTypeParameters = [
          Typing.TypeParameter {
            Typing.typeParameterName = (Core.Name "x"),
            Typing.typeParameterConstraints = []}],
        Typing.termSignatureParameters = [
          Typing.Parameter {
            Typing.parameterName = (Core.Name "def"),
            Typing.parameterDescription = (Just "the default value to return when the optional is none"),
            Typing.parameterType = (Core.TypeVariable (Core.Name "x")),
            Typing.parameterIsLazy = True},
          Typing.Parameter {
            Typing.parameterName = (Core.Name "m"),
            Typing.parameterDescription = (Just "the optional to unwrap"),
            Typing.parameterType = (Core.TypeOptional (Core.TypeVariable (Core.Name "x"))),
            Typing.parameterIsLazy = False}],
        Typing.termSignatureResult = Typing.Result {
          Typing.resultDescription = Nothing,
          Typing.resultType = (Core.TypeVariable (Core.Name "x"))}},
      Packaging.primitiveDefinitionIsPure = True,
      Packaging.primitiveDefinitionIsTotal = True,
      Packaging.primitiveDefinitionDefaultImplementation = (Just (Core.TermLambda (Core.Lambda {
        Core.lambdaParameter = (Core.Name "def"),
        Core.lambdaDomain = Nothing,
        Core.lambdaBody = (Core.TermLambda (Core.Lambda {
          Core.lambdaParameter = (Core.Name "m"),
          Core.lambdaDomain = Nothing,
          Core.lambdaBody = (Core.TermApplication (Core.Application {
            Core.applicationFunction = (Core.TermApplication (Core.Application {
              Core.applicationFunction = (Core.TermApplication (Core.Application {
                Core.applicationFunction = (Core.TermVariable (Core.Name "hydra.lib.optionals.cases")),
                Core.applicationArgument = (Core.TermVariable (Core.Name "m"))})),
              Core.applicationArgument = (Core.TermVariable (Core.Name "def"))})),
            Core.applicationArgument = (Core.TermLambda (Core.Lambda {
              Core.lambdaParameter = (Core.Name "x"),
              Core.lambdaDomain = Nothing,
              Core.lambdaBody = (Core.TermVariable (Core.Name "x"))}))}))}))})))}