Reorganise prelude into multiple files

This is partly to tidy things up, but also a good test for 'import as'.
Requires some internal changes since there are parts of reflection,
unelaboration and a compiler hack that rely on where things are in the
Prelude.
This commit is contained in:
Edwin Brady 2020-07-12 15:54:10 +01:00
parent 9d6f365ad7
commit 6a53e0177c
23 changed files with 1971 additions and 1880 deletions

File diff suppressed because it is too large Load Diff

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@ -69,3 +69,35 @@ public export
public export
cong : (0 f : t -> u) -> (1 p : a = b) -> f a = f b
cong f Refl = Refl
--------------
-- BOOLEANS --
--------------
||| Boolean Data Type.
public export
data Bool = True | False
||| Boolean NOT.
public export
not : (1 b : Bool) -> Bool
not True = False
not False = True
||| Boolean AND only evaluates the second argument if the first is `True`.
public export
(&&) : (1 b : Bool) -> Lazy Bool -> Bool
(&&) True x = x
(&&) False x = False
||| Boolean OR only evaluates the second argument if the first is `False`.
public export
(||) : (1 b : Bool) -> Lazy Bool -> Bool
(||) True x = True
(||) False x = x
%inline
public export
intToBool : Int -> Bool
intToBool 0 = False
intToBool x = True

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@ -0,0 +1,203 @@
module Prelude.EqOrd
import Builtin
import Prelude.Basics
import Prelude.Ops
%default total
------------------------
-- EQUALITY, ORDERING --
------------------------
||| The Eq interface defines inequality and equality.
public export
interface Eq ty where
(==) : ty -> ty -> Bool
(/=) : ty -> ty -> Bool
x == y = not (x /= y)
x /= y = not (x == y)
public export
Eq () where
_ == _ = True
public export
Eq Bool where
True == True = True
False == False = True
_ == _ = False
public export
Eq Int where
x == y = intToBool (prim__eq_Int x y)
public export
Eq Integer where
x == y = intToBool (prim__eq_Integer x y)
public export
Eq Bits8 where
x == y = intToBool (prim__eq_Bits8 x y)
public export
Eq Bits16 where
x == y = intToBool (prim__eq_Bits16 x y)
public export
Eq Bits32 where
x == y = intToBool (prim__eq_Bits32 x y)
public export
Eq Bits64 where
x == y = intToBool (prim__eq_Bits64 x y)
public export
Eq Double where
x == y = intToBool (prim__eq_Double x y)
public export
Eq Char where
x == y = intToBool (prim__eq_Char x y)
public export
Eq String where
x == y = intToBool (prim__eq_String x y)
public export
Eq a => Eq b => Eq (a, b) where
(x1, y1) == (x2, y2) = x1 == x2 && y1 == y2
public export
data Ordering = LT | EQ | GT
public export
Eq Ordering where
LT == LT = True
EQ == EQ = True
GT == GT = True
_ == _ = False
||| The Ord interface defines comparison operations on ordered data types.
public export
interface Eq ty => Ord ty where
compare : ty -> ty -> Ordering
(<) : ty -> ty -> Bool
(<) x y = compare x y == LT
(>) : ty -> ty -> Bool
(>) x y = compare x y == GT
(<=) : ty -> ty -> Bool
(<=) x y = compare x y /= GT
(>=) : ty -> ty -> Bool
(>=) x y = compare x y /= LT
max : ty -> ty -> ty
max x y = if x > y then x else y
min : ty -> ty -> ty
min x y = if (x < y) then x else y
public export
Ord () where
compare _ _ = EQ
public export
Ord Bool where
compare False False = EQ
compare False True = LT
compare True False = GT
compare True True = EQ
public export
Ord Int where
compare x y = if x < y then LT else if x == y then EQ else GT
(<) x y = intToBool (prim__lt_Int x y)
(<=) x y = intToBool (prim__lte_Int x y)
(>) x y = intToBool (prim__gt_Int x y)
(>=) x y = intToBool (prim__gte_Int x y)
public export
Ord Integer where
compare x y = if x < y then LT else if x == y then EQ else GT
(<) x y = intToBool (prim__lt_Integer x y)
(<=) x y = intToBool (prim__lte_Integer x y)
(>) x y = intToBool (prim__gt_Integer x y)
(>=) x y = intToBool (prim__gte_Integer x y)
public export
Ord Bits8 where
compare x y = if x < y then LT else if x == y then EQ else GT
(<) x y = intToBool (prim__lt_Bits8 x y)
(<=) x y = intToBool (prim__lte_Bits8 x y)
(>) x y = intToBool (prim__gt_Bits8 x y)
(>=) x y = intToBool (prim__gte_Bits8 x y)
public export
Ord Bits16 where
compare x y = if x < y then LT else if x == y then EQ else GT
(<) x y = intToBool (prim__lt_Bits16 x y)
(<=) x y = intToBool (prim__lte_Bits16 x y)
(>) x y = intToBool (prim__gt_Bits16 x y)
(>=) x y = intToBool (prim__gte_Bits16 x y)
public export
Ord Bits32 where
compare x y = if x < y then LT else if x == y then EQ else GT
(<) x y = intToBool (prim__lt_Bits32 x y)
(<=) x y = intToBool (prim__lte_Bits32 x y)
(>) x y = intToBool (prim__gt_Bits32 x y)
(>=) x y = intToBool (prim__gte_Bits32 x y)
public export
Ord Bits64 where
compare x y = if x < y then LT else if x == y then EQ else GT
(<) x y = intToBool (prim__lt_Bits64 x y)
(<=) x y = intToBool (prim__lte_Bits64 x y)
(>) x y = intToBool (prim__gt_Bits64 x y)
(>=) x y = intToBool (prim__gte_Bits64 x y)
public export
Ord Double where
compare x y = if x < y then LT else if x == y then EQ else GT
(<) x y = intToBool (prim__lt_Double x y)
(<=) x y = intToBool (prim__lte_Double x y)
(>) x y = intToBool (prim__gt_Double x y)
(>=) x y = intToBool (prim__gte_Double x y)
public export
Ord String where
compare x y = if x < y then LT else if x == y then EQ else GT
(<) x y = intToBool (prim__lt_String x y)
(<=) x y = intToBool (prim__lte_String x y)
(>) x y = intToBool (prim__gt_String x y)
(>=) x y = intToBool (prim__gte_String x y)
public export
Ord Char where
compare x y = if x < y then LT else if x == y then EQ else GT
(<) x y = intToBool (prim__lt_Char x y)
(<=) x y = intToBool (prim__lte_Char x y)
(>) x y = intToBool (prim__gt_Char x y)
(>=) x y = intToBool (prim__gte_Char x y)
public export
Ord a => Ord b => Ord (a, b) where
compare (x1, y1) (x2, y2)
= if x1 /= x2 then compare x1 x2
else compare y1 y2

126
libs/prelude/Prelude/IO.idr Normal file
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@ -0,0 +1,126 @@
module Prelude.IO
import Builtin
import PrimIO
import Prelude.Basics
import Prelude.Interfaces
import Prelude.Show
%default total
--------
-- IO --
--------
public export
Functor IO where
map f io = io_bind io (\b => io_pure (f b))
%inline
public export
Applicative IO where
pure x = io_pure x
f <*> a
= io_bind f (\f' =>
io_bind a (\a' =>
io_pure (f' a')))
%inline
public export
Monad IO where
b >>= k = io_bind b k
public export
interface Monad io => HasIO io where
liftIO : (1 _ : IO a) -> io a
public export %inline
HasIO IO where
liftIO x = x
export %inline
primIO : HasIO io => (1 fn : (1 x : %World) -> IORes a) -> io a
primIO op = liftIO (fromPrim op)
%extern
prim__onCollectAny : AnyPtr -> (AnyPtr -> PrimIO ()) -> PrimIO GCAnyPtr
%extern
prim__onCollect : Ptr t -> (Ptr t -> PrimIO ()) -> PrimIO (GCPtr t)
export
onCollectAny : AnyPtr -> (AnyPtr -> IO ()) -> IO GCAnyPtr
onCollectAny ptr c = fromPrim (prim__onCollectAny ptr (\x => toPrim (c x)))
export
onCollect : Ptr t -> (Ptr t -> IO ()) -> IO (GCPtr t)
onCollect ptr c = fromPrim (prim__onCollect ptr (\x => toPrim (c x)))
%foreign "C:idris2_getString, libidris2_support"
"javascript:lambda:x=>x"
export
prim__getString : Ptr String -> String
%foreign "C:putchar,libc 6"
prim__putChar : Char -> (1 x : %World) -> IORes ()
%foreign "C:getchar,libc 6"
%extern prim__getChar : (1 x : %World) -> IORes Char
%foreign "C:idris2_getStr,libidris2_support"
"node:support:getStr,support_system_file"
prim__getStr : PrimIO String
%foreign "C:idris2_putStr,libidris2_support"
"node:lambda:x=>process.stdout.write(x)"
prim__putStr : String -> PrimIO ()
||| Output a string to stdout without a trailing newline.
export
putStr : HasIO io => String -> io ()
putStr str = primIO (prim__putStr str)
||| Output a string to stdout with a trailing newline.
export
putStrLn : HasIO io => String -> io ()
putStrLn str = putStr (prim__strAppend str "\n")
||| Read one line of input from stdin, without the trailing newline.
export
getLine : HasIO io => io String
getLine = primIO prim__getStr
||| Write a single character to stdout.
export
putChar : HasIO io => Char -> io ()
putChar c = primIO (prim__putChar c)
||| Write a single character to stdout, with a trailing newline.
export
putCharLn : HasIO io => Char -> io ()
putCharLn c = putStrLn (prim__cast_CharString c)
||| Read a single character from stdin.
export
getChar : HasIO io => io Char
getChar = primIO prim__getChar
export
prim_fork : (1 prog : PrimIO ()) -> PrimIO ThreadID
prim_fork act w = prim__schemeCall ThreadID "blodwen-thread" [act] w
export
fork : (1 prog : IO ()) -> IO ThreadID
fork act = schemeCall ThreadID "blodwen-thread" [toPrim act]
%foreign "C:idris2_readString, libidris2_support"
export
prim__getErrno : Int
||| Output something showable to stdout, without a trailing newline.
export
print : (HasIO io, Show a) => a -> io ()
print x = putStr $ show x
||| Output something showable to stdout, with a trailing newline.
export
printLn : (HasIO io, Show a) => a -> io ()
printLn x = putStrLn $ show x

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@ -0,0 +1,268 @@
module Prelude.Interfaces
import Builtin
import Prelude.Basics
import Prelude.Num
import Prelude.Ops
%default total
-------------
-- ALGEBRA --
-------------
||| Sets equipped with a single binary operation that is associative. Must
||| satisfy the following laws:
|||
||| + Associativity of `<+>`:
||| forall a b c, a <+> (b <+> c) == (a <+> b) <+> c
public export
interface Semigroup ty where
(<+>) : ty -> ty -> ty
||| Sets equipped with a single binary operation that is associative, along with
||| a neutral element for that binary operation. Must satisfy the following
||| laws:
|||
||| + Associativity of `<+>`:
||| forall a b c, a <+> (b <+> c) == (a <+> b) <+> c
||| + Neutral for `<+>`:
||| forall a, a <+> neutral == a
||| forall a, neutral <+> a == a
public export
interface Semigroup ty => Monoid ty where
neutral : ty
export
shiftL : Int -> Int -> Int
shiftL = prim__shl_Int
export
shiftR : Int -> Int -> Int
shiftR = prim__shr_Int
----------------------------------------------
-- FUNCTOR, APPLICATIVE, ALTERNATIVE, MONAD --
----------------------------------------------
||| Functors allow a uniform action over a parameterised type.
||| @ f a parameterised type
public export
interface Functor f where
||| Apply a function across everything of type 'a' in a parameterised type
||| @ f the parameterised type
||| @ func the function to apply
map : (func : a -> b) -> f a -> f b
||| An infix alias for `map`, applying a function across everything of type 'a'
||| in a parameterised type.
||| @ f the parameterised type
||| @ func the function to apply
public export
(<$>) : Functor f => (func : a -> b) -> f a -> f b
(<$>) func x = map func x
||| Run something for effects, throwing away the return value.
public export
ignore : Functor f => f a -> f ()
ignore = map (const ())
public export
interface Functor f => Applicative f where
pure : a -> f a
(<*>) : f (a -> b) -> f a -> f b
public export
(<*) : Applicative f => f a -> f b -> f a
a <* b = map const a <*> b
public export
(*>) : Applicative f => f a -> f b -> f b
a *> b = map (const id) a <*> b
%allow_overloads pure
%allow_overloads (<*)
%allow_overloads (*>)
public export
interface Applicative f => Alternative f where
empty : f a
(<|>) : f a -> f a -> f a
public export
interface Applicative m => Monad m where
||| Also called `bind`.
(>>=) : m a -> (a -> m b) -> m b
||| Also called `flatten` or mu.
join : m (m a) -> m a
-- default implementations
(>>=) x f = join (f <$> x)
join x = x >>= id
%allow_overloads (>>=)
||| `guard a` is `pure ()` if `a` is `True` and `empty` if `a` is `False`.
public export
guard : Alternative f => Bool -> f ()
guard x = if x then pure () else empty
||| Conditionally execute an applicative expression.
public export
when : Applicative f => Bool -> Lazy (f ()) -> f ()
when True f = f
when False f = pure ()
---------------------------
-- FOLDABLE, TRAVERSABLE --
---------------------------
||| The `Foldable` interface describes how you can iterate over the elements in
||| a parameterised type and combine the elements together, using a provided
||| function, into a single result.
||| @ t The type of the 'Foldable' parameterised type.
public export
interface Foldable (t : Type -> Type) where
||| Successively combine the elements in a parameterised type using the
||| provided function, starting with the element that is in the final position
||| i.e. the right-most position.
||| @ func The function used to 'fold' an element into the accumulated result
||| @ init The starting value the results are being combined into
||| @ input The parameterised type
foldr : (func : elem -> acc -> acc) -> (init : acc) -> (input : t elem) -> acc
||| The same as `foldr` but begins the folding from the element at the initial
||| position in the data structure i.e. the left-most position.
||| @ func The function used to 'fold' an element into the accumulated result
||| @ init The starting value the results are being combined into
||| @ input The parameterised type
foldl : (func : acc -> elem -> acc) -> (init : acc) -> (input : t elem) -> acc
foldl f z t = foldr (flip (.) . flip f) id t z
||| Similar to `foldl`, but uses a function wrapping its result in a `Monad`.
||| Consequently, the final value is wrapped in the same `Monad`.
public export
foldlM : (Foldable t, Monad m) => (funcM: a -> b -> m a) -> (init: a) -> (input: t b) -> m a
foldlM fm a0 = foldl (\ma,b => ma >>= flip fm b) (pure a0)
||| Combine each element of a structure into a monoid.
public export
concat : (Foldable t, Monoid a) => t a -> a
concat = foldr (<+>) neutral
||| Combine into a monoid the collective results of applying a function to each
||| element of a structure.
public export
concatMap : (Foldable t, Monoid m) => (a -> m) -> t a -> m
concatMap f = foldr ((<+>) . f) neutral
||| The conjunction of all elements of a structure containing lazy boolean
||| values. `and` short-circuits from left to right, evaluating until either an
||| element is `False` or no elements remain.
public export
and : Foldable t => t (Lazy Bool) -> Bool
and = foldl (&&) True
||| The disjunction of all elements of a structure containing lazy boolean
||| values. `or` short-circuits from left to right, evaluating either until an
||| element is `True` or no elements remain.
public export
or : Foldable t => t (Lazy Bool) -> Bool
or = foldl (||) False
||| The disjunction of the collective results of applying a predicate to all
||| elements of a structure. `any` short-circuits from left to right.
public export
any : Foldable t => (a -> Bool) -> t a -> Bool
any p = foldl (\x,y => x || p y) False
||| The disjunction of the collective results of applying a predicate to all
||| elements of a structure. `all` short-circuits from left to right.
public export
all : Foldable t => (a -> Bool) -> t a -> Bool
all p = foldl (\x,y => x && p y) True
||| Add together all the elements of a structure.
public export
sum : (Foldable t, Num a) => t a -> a
sum = foldr (+) 0
||| Add together all the elements of a structure.
||| Same as `sum` but tail recursive.
export
sum' : (Foldable t, Num a) => t a -> a
sum' = foldl (+) 0
||| Multiply together all elements of a structure.
public export
product : (Foldable t, Num a) => t a -> a
product = foldr (*) 1
||| Multiply together all elements of a structure.
||| Same as `product` but tail recursive.
export
product' : (Foldable t, Num a) => t a -> a
product' = foldl (*) 1
||| Map each element of a structure to a computation, evaluate those
||| computations and discard the results.
public export
traverse_ : (Foldable t, Applicative f) => (a -> f b) -> t a -> f ()
traverse_ f = foldr ((*>) . f) (pure ())
||| Evaluate each computation in a structure and discard the results.
public export
sequence_ : (Foldable t, Applicative f) => t (f a) -> f ()
sequence_ = foldr (*>) (pure ())
||| Like `traverse_` but with the arguments flipped.
public export
for_ : (Foldable t, Applicative f) => t a -> (a -> f b) -> f ()
for_ = flip traverse_
||| Fold using Alternative.
|||
||| If you have a left-biased alternative operator `<|>`, then `choice` performs
||| left-biased choice from a list of alternatives, which means that it
||| evaluates to the left-most non-`empty` alternative.
|||
||| If the list is empty, or all values in it are `empty`, then it evaluates to
||| `empty`.
|||
||| Example:
|||
||| ```
||| -- given a parser expression like:
||| expr = literal <|> keyword <|> funcall
|||
||| -- choice lets you write this as:
||| expr = choice [literal, keyword, funcall]
||| ```
|||
||| Note: In Haskell, `choice` is called `asum`.
public export
choice : (Foldable t, Alternative f) => t (f a) -> f a
choice = foldr (<|>) empty
||| A fused version of `choice` and `map`.
public export
choiceMap : (Foldable t, Alternative f) => (a -> f b) -> t a -> f b
choiceMap f = foldr (\e, a => f e <|> a) empty
public export
interface (Functor t, Foldable t) => Traversable (t : Type -> Type) where
||| Map each element of a structure to a computation, evaluate those
||| computations and combine the results.
traverse : Applicative f => (a -> f b) -> t a -> f (t b)
||| Evaluate each computation in a structure and collect the results.
public export
sequence : (Traversable t, Applicative f) => t (f a) -> f (t a)
sequence = traverse id
||| Like `traverse` but with the arguments flipped.
public export
for : (Traversable t, Applicative f) => t a -> (a -> f b) -> f (t b)
for = flip traverse

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module Prelude.Num
import Builtin
import Prelude.Basics
import Prelude.EqOrd
import Prelude.Ops
%default total
------------------------
-- NUMERIC INTERFACES --
------------------------
%integerLit fromInteger
||| The Num interface defines basic numerical arithmetic.
public export
interface Num ty where
(+) : ty -> ty -> ty
(*) : ty -> ty -> ty
||| Conversion from Integer.
fromInteger : Integer -> ty
%allow_overloads fromInteger
||| The `Neg` interface defines operations on numbers which can be negative.
public export
interface Num ty => Neg ty where
||| The underlying of unary minus. `-5` desugars to `negate (fromInteger 5)`.
negate : ty -> ty
(-) : ty -> ty -> ty
||| Numbers for which the absolute value is defined should implement `Abs`.
public export
interface Num ty => Abs ty where
||| Absolute value.
abs : ty -> ty
public export
interface Num ty => Fractional ty where
partial
(/) : ty -> ty -> ty
partial
recip : ty -> ty
recip x = 1 / x
public export
interface Num ty => Integral ty where
partial
div : ty -> ty -> ty
partial
mod : ty -> ty -> ty
----- Instances for primitives
-- Integer
%inline
public export
Num Integer where
(+) = prim__add_Integer
(*) = prim__mul_Integer
fromInteger = id
public export
Neg Integer where
negate x = prim__sub_Integer 0 x
(-) = prim__sub_Integer
public export
Abs Integer where
abs x = if x < 0 then -x else x
public export
Integral Integer where
div x y
= case y == 0 of
False => prim__div_Integer x y
mod x y
= case y == 0 of
False => prim__mod_Integer x y
-- This allows us to pick integer as a default at the end of elaboration if
-- all other possibilities fail. I don't plan to provide a nicer syntax for
-- this...
%defaulthint
%inline
public export
defaultInteger : Num Integer
defaultInteger = %search
-- Int
%inline
public export
Num Int where
(+) = prim__add_Int
(*) = prim__mul_Int
fromInteger = prim__cast_IntegerInt
public export
Neg Int where
negate x = prim__sub_Int 0 x
(-) = prim__sub_Int
public export
Abs Int where
abs x = if x < 0 then -x else x
public export
Integral Int where
div x y
= case y == 0 of
False => prim__div_Int x y
mod x y
= case y == 0 of
False => prim__mod_Int x y
-- Bits8
%inline
public export
Num Bits8 where
(+) = prim__add_Bits8
(*) = prim__mul_Bits8
fromInteger = prim__cast_IntegerBits8
-- Bits16
%inline
public export
Num Bits16 where
(+) = prim__add_Bits16
(*) = prim__mul_Bits16
fromInteger = prim__cast_IntegerBits16
-- Bits32
%inline
public export
Num Bits32 where
(+) = prim__add_Bits32
(*) = prim__mul_Bits32
fromInteger = prim__cast_IntegerBits32
-- Bits64
%inline
public export
Num Bits64 where
(+) = prim__add_Bits64
(*) = prim__mul_Bits64
fromInteger = prim__cast_IntegerBits64
-- Double
public export
Num Double where
(+) = prim__add_Double
(*) = prim__mul_Double
fromInteger = prim__cast_IntegerDouble
public export
Neg Double where
negate x = prim__negate_Double x
(-) = prim__sub_Double
public export
Abs Double where
abs x = if x < 0 then -x else x
public export
Fractional Double where
(/) = prim__div_Double

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module Prelude.Ops
-- Numerical operators
infix 6 ==, /=, <, <=, >, >=
infixl 7 <<, >> -- unused
infixl 8 +, -
infixl 9 *, /
-- Boolean operators
infixr 4 &&
infixr 5 ||
-- List and String operators
infixr 7 ::, ++
-- Functor/Applicative/Monad/Algebra operators
infixl 1 >>=
infixr 2 <|>
infixl 3 <*>, *>, <*
infixr 4 <$>
infixl 6 <+>
-- Utility operators
infixr 9 .
infixr 0 $
infixl 9 `div`, `mod`

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module Prelude.Show
import Builtin
import Prelude.Basics
import Prelude.EqOrd
import Prelude.Num
import Prelude.Types
%default total
----------
-- SHOW --
----------
||| The precedence of an Idris operator or syntactic context.
public export
data Prec = Open | Equal | Dollar | Backtick | User Nat | PrefixMinus | App
||| Gives the constructor index of the Prec as a helper for writing
||| implementations.
public export
precCon : Prec -> Integer
precCon Open = 0
precCon Equal = 1
precCon Dollar = 2
precCon Backtick = 3
precCon (User n) = 4
precCon PrefixMinus = 5
precCon App = 6
export
Eq Prec where
(==) (User m) (User n) = m == n
(==) x y = precCon x == precCon y
export
Ord Prec where
compare (User m) (User n) = compare m n
compare x y = compare (precCon x) (precCon y)
||| Things that have a canonical `String` representation.
public export
interface Show ty where
||| Convert a value to its `String` representation.
||| @ x the value to convert
show : (x : ty) -> String
show x = showPrec Open x
||| Convert a value to its `String` representation in a certain precedence
||| context.
|||
||| A value should produce parentheses around itself if and only if the given
||| precedence context is greater than or equal to the precedence of the
||| outermost operation represented in the produced `String`. *This is
||| different from Haskell*, which requires it to be strictly greater. `Open`
||| should thus always produce *no* outermost parens, `App` should always
||| produce outermost parens except on atomic values and those that provide
||| their own bracketing, like `Pair` and `List`.
||| @ d the precedence context.
||| @ x the value to convert
showPrec : (d : Prec) -> (x : ty) -> String
showPrec _ x = show x
||| Surround a `String` with parentheses depending on a condition.
||| @ b whether to add parentheses
showParens : (1 b : Bool) -> String -> String
showParens False s = s
showParens True s = "(" ++ s ++ ")"
||| A helper for the common case of showing a non-infix constructor with at
||| least one argument, for use with `showArg`.
|||
||| Apply `showCon` to the precedence context, the constructor name, and the
||| args shown with `showArg` and concatenated. Example:
||| ```
||| data Ann a = MkAnn String a
|||
||| Show a => Show (Ann a) where
||| showPrec d (MkAnn s x) = showCon d "MkAnn" $ showArg s ++ showArg x
||| ```
export
showCon : (d : Prec) -> (conName : String) -> (shownArgs : String) -> String
showCon d conName shownArgs = showParens (d >= App) (conName ++ shownArgs)
||| A helper for the common case of showing a non-infix constructor with at
||| least one argument, for use with `showCon`.
|||
||| This adds a space to the front so the results can be directly concatenated.
||| See `showCon` for details and an example.
export
showArg : Show a => (x : a) -> String
showArg x = " " ++ showPrec App x
firstCharIs : (Char -> Bool) -> String -> Bool
firstCharIs p "" = False
firstCharIs p str = p (assert_total (prim__strHead str))
primNumShow : (a -> String) -> Prec -> a -> String
primNumShow f d x = let str = f x in showParens (d >= PrefixMinus && firstCharIs (== '-') str) str
export
Show Int where
showPrec = primNumShow prim__cast_IntString
export
Show Integer where
showPrec = primNumShow prim__cast_IntegerString
export
Show Bits8 where
showPrec = primNumShow prim__cast_Bits8String
export
Show Bits16 where
showPrec = primNumShow prim__cast_Bits16String
export
Show Bits32 where
showPrec = primNumShow prim__cast_Bits32String
export
Show Bits64 where
showPrec = primNumShow prim__cast_Bits64String
export
Show Double where
showPrec = primNumShow prim__cast_DoubleString
protectEsc : (Char -> Bool) -> String -> String -> String
protectEsc p f s = f ++ (if firstCharIs p s then "\\&" else "") ++ s
showLitChar : Char -> String -> String
showLitChar '\a' = ("\\a" ++)
showLitChar '\b' = ("\\b" ++)
showLitChar '\f' = ("\\f" ++)
showLitChar '\n' = ("\\n" ++)
showLitChar '\r' = ("\\r" ++)
showLitChar '\t' = ("\\t" ++)
showLitChar '\v' = ("\\v" ++)
showLitChar '\SO' = protectEsc (== 'H') "\\SO"
showLitChar '\DEL' = ("\\DEL" ++)
showLitChar '\\' = ("\\\\" ++)
showLitChar c
= case getAt (fromInteger (prim__cast_CharInteger c)) asciiTab of
Just k => strCons '\\' . (k ++)
Nothing => if (c > '\DEL')
then strCons '\\' . protectEsc isDigit (show (prim__cast_CharInt c))
else strCons c
where
asciiTab : List String
asciiTab
= ["NUL", "SOH", "STX", "ETX", "EOT", "ENQ", "ACK", "BEL",
"BS", "HT", "LF", "VT", "FF", "CR", "SO", "SI",
"DLE", "DC1", "DC2", "DC3", "DC4", "NAK", "SYN", "ETB",
"CAN", "EM", "SUB", "ESC", "FS", "GS", "RS", "US"]
getAt : Nat -> List String -> Maybe String
getAt Z (x :: xs) = Just x
getAt (S k) (x :: xs) = getAt k xs
getAt _ [] = Nothing
showLitString : List Char -> String -> String
showLitString [] = id
showLitString ('"'::cs) = ("\\\"" ++) . showLitString cs
showLitString (c ::cs) = (showLitChar c) . showLitString cs
export
Show Char where
show '\'' = "'\\''"
show c = strCons '\'' (showLitChar c "'")
export
Show String where
show cs = strCons '"' (showLitString (unpack cs) "\"")
export
Show Nat where
show n = show (the Integer (natToInteger n))
export
Show Bool where
show True = "True"
show False = "False"
export
Show () where
show () = "()"
export
(Show a, Show b) => Show (a, b) where
show (x, y) = "(" ++ show x ++ ", " ++ show y ++ ")"
export
(Show a, {y : a} -> Show (p y)) => Show (DPair a p) where
show (y ** prf) = "(" ++ show y ++ " ** " ++ show prf ++ ")"
export
Show a => Show (List a) where
show xs = "[" ++ show' "" xs ++ "]"
where
show' : String -> List a -> String
show' acc [] = acc
show' acc [x] = acc ++ show x
show' acc (x :: xs) = show' (acc ++ show x ++ ", ") xs
export
Show a => Show (Maybe a) where
showPrec d Nothing = "Nothing"
showPrec d (Just x) = showCon d "Just" (showArg x)
export
(Show a, Show b) => Show (Either a b) where
showPrec d (Left x) = showCon d "Left" $ showArg x
showPrec d (Right x) = showCon d "Right" $ showArg x

View File

@ -0,0 +1,811 @@
module Prelude.Types
import Builtin
import PrimIO
import Prelude.Basics
import Prelude.EqOrd
import Prelude.Interfaces
import Prelude.Num
import Prelude.Uninhabited
%default total
-----------
-- NATS ---
-----------
||| Natural numbers: unbounded, unsigned integers which can be pattern matched.
public export
data Nat =
||| Zero.
Z
| ||| Successor.
S Nat
%name Nat k, j, i
public export
integerToNat : Integer -> Nat
integerToNat x
= if intToBool (prim__lte_Integer x 0)
then Z
else S (assert_total (integerToNat (prim__sub_Integer x 1)))
-- Define separately so we can spot the name when optimising Nats
||| Add two natural numbers.
||| @ x the number to case-split on
||| @ y the other numberpublic export
public export
plus : (1 x : Nat) -> (1 y : Nat) -> Nat
plus Z y = y
plus (S k) y = S (plus k y)
||| Subtract natural numbers. If the second number is larger than the first,
||| return 0.
public export
minus : (1 left : Nat) -> Nat -> Nat
minus Z right = Z
minus left Z = left
minus (S left) (S right) = minus left right
||| Multiply natural numbers.
public export
mult : (1 x : Nat) -> Nat -> Nat
mult Z y = Z
mult (S k) y = plus y (mult k y)
public export
Num Nat where
(+) = plus
(*) = mult
fromInteger x = integerToNat x
public export
Eq Nat where
Z == Z = True
S j == S k = j == k
_ == _ = False
public export
Ord Nat where
compare Z Z = EQ
compare Z (S k) = LT
compare (S k) Z = GT
compare (S j) (S k) = compare j k
public export
natToInteger : Nat -> Integer
natToInteger Z = 0
natToInteger (S k) = 1 + natToInteger k
-- integer (+) may be non-linear in second
-- argument
-----------
-- PAIRS --
-----------
public export
Functor (Pair a) where
map f (x, y) = (x, f y)
public export
mapFst : (a -> c) -> (a, b) -> (c, b)
mapFst f (x, y) = (f x, y)
-----------
-- MAYBE --
-----------
||| An optional value. This can be used to represent the possibility of
||| failure, where a function may return a value, or not.
public export
data Maybe : (ty : Type) -> Type where
||| No value stored
Nothing : Maybe ty
||| A value of type `ty` is stored
Just : (1 x : ty) -> Maybe ty
public export
Uninhabited (Nothing = Just x) where
uninhabited Refl impossible
public export
Uninhabited (Just x = Nothing) where
uninhabited Refl impossible
public export
maybe : Lazy b -> Lazy (a -> b) -> Maybe a -> b
maybe n j Nothing = n
maybe n j (Just x) = j x
public export
Eq a => Eq (Maybe a) where
Nothing == Nothing = True
Nothing == (Just _) = False
(Just _) == Nothing = False
(Just a) == (Just b) = a == b
public export
Ord a => Ord (Maybe a) where
compare Nothing Nothing = EQ
compare Nothing (Just _) = LT
compare (Just _) Nothing = GT
compare (Just a) (Just b) = compare a b
public export
Semigroup (Maybe a) where
Nothing <+> m = m
(Just x) <+> _ = Just x
public export
Monoid (Maybe a) where
neutral = Nothing
public export
Functor Maybe where
map f (Just x) = Just (f x)
map f Nothing = Nothing
public export
Applicative Maybe where
pure = Just
Just f <*> Just a = Just (f a)
_ <*> _ = Nothing
public export
Alternative Maybe where
empty = Nothing
(Just x) <|> _ = Just x
Nothing <|> v = v
public export
Monad Maybe where
Nothing >>= k = Nothing
(Just x) >>= k = k x
public export
Foldable Maybe where
foldr _ z Nothing = z
foldr f z (Just x) = f x z
public export
Traversable Maybe where
traverse f Nothing = pure Nothing
traverse f (Just x) = (pure Just) <*> (f x)
---------
-- DEC --
---------
||| Decidability. A decidable property either holds or is a contradiction.
public export
data Dec : Type -> Type where
||| The case where the property holds.
||| @ prf the proof
Yes : (prf : prop) -> Dec prop
||| The case where the property holding would be a contradiction.
||| @ contra a demonstration that prop would be a contradiction
No : (contra : prop -> Void) -> Dec prop
------------
-- EITHER --
------------
||| A sum type.
public export
data Either : (a : Type) -> (b : Type) -> Type where
||| One possibility of the sum, conventionally used to represent errors.
Left : forall a, b. (1 x : a) -> Either a b
||| The other possibility, conventionally used to represent success.
Right : forall a, b. (1 x : b) -> Either a b
||| Simply-typed eliminator for Either.
||| @ f the action to take on Left
||| @ g the action to take on Right
||| @ e the sum to analyze
public export
either : (f : Lazy (a -> c)) -> (g : Lazy (b -> c)) -> (e : Either a b) -> c
either l r (Left x) = l x
either l r (Right x) = r x
public export
(Eq a, Eq b) => Eq (Either a b) where
Left x == Left x' = x == x'
Right x == Right x' = x == x'
_ == _ = False
public export
(Ord a, Ord b) => Ord (Either a b) where
compare (Left x) (Left x') = compare x x'
compare (Left _) (Right _) = LT
compare (Right _) (Left _) = GT
compare (Right x) (Right x') = compare x x'
%inline
public export
Functor (Either e) where
map f (Left x) = Left x
map f (Right x) = Right (f x)
%inline
public export
Applicative (Either e) where
pure = Right
(Left a) <*> _ = Left a
(Right f) <*> (Right r) = Right (f r)
(Right _) <*> (Left l) = Left l
public export
Monad (Either e) where
(Left n) >>= _ = Left n
(Right r) >>= f = f r
-----------
-- LISTS --
-----------
||| Generic lists.
public export
data List a =
||| Empty list
Nil
| ||| A non-empty list, consisting of a head element and the rest of the list.
(::) a (List a)
%name List xs, ys, zs
public export
Eq a => Eq (List a) where
[] == [] = True
x :: xs == y :: ys = x == y && xs == ys
_ == _ = False
public export
Ord a => Ord (List a) where
compare [] [] = EQ
compare [] (x :: xs) = LT
compare (x :: xs) [] = GT
compare (x :: xs) (y ::ys)
= case compare x y of
EQ => compare xs ys
c => c
namespace List
public export
(++) : (1 xs : List a) -> List a -> List a
[] ++ ys = ys
(x :: xs) ++ ys = x :: xs ++ ys
public export
Functor List where
map f [] = []
map f (x :: xs) = f x :: map f xs
public export
Semigroup (List a) where
(<+>) = (++)
public export
Monoid (List a) where
neutral = []
public export
Foldable List where
foldr c n [] = n
foldr c n (x::xs) = c x (foldr c n xs)
foldl f q [] = q
foldl f q (x::xs) = foldl f (f q x) xs
public export
Applicative List where
pure x = [x]
fs <*> vs = concatMap (\f => map f vs) fs
public export
Alternative List where
empty = []
(<|>) = (++)
public export
Monad List where
m >>= f = concatMap f m
public export
Traversable List where
traverse f [] = pure []
traverse f (x::xs) = pure (::) <*> (f x) <*> (traverse f xs)
||| Check if something is a member of a list using the default Boolean equality.
public export
elem : Eq a => a -> List a -> Bool
x `elem` [] = False
x `elem` (y :: ys) = if x == y then True else x `elem` ys
-------------
-- STREAMS --
-------------
namespace Stream
||| An infinite stream.
public export
data Stream : Type -> Type where
(::) : a -> Inf (Stream a) -> Stream a
public export
Functor Stream where
map f (x :: xs) = f x :: map f xs
||| The first element of an infinite stream.
public export
head : Stream a -> a
head (x :: xs) = x
||| All but the first element.
public export
tail : Stream a -> Stream a
tail (x :: xs) = xs
||| Take precisely n elements from the stream.
||| @ n how many elements to take
||| @ xs the stream
public export
take : (1 n : Nat) -> (xs : Stream a) -> List a
take Z xs = []
take (S k) (x :: xs) = x :: take k xs
-------------
-- STRINGS --
-------------
namespace Strings
public export
(++) : (1 x : String) -> (1 y : String) -> String
x ++ y = prim__strAppend x y
||| Returns the length of the string.
|||
||| ```idris example
||| length ""
||| ```
||| ```idris example
||| length "ABC"
||| ```
public export
length : String -> Nat
length str = fromInteger (prim__cast_IntInteger (prim__strLength str))
||| Reverses the elements within a string.
|||
||| ```idris example
||| reverse "ABC"
||| ```
||| ```idris example
||| reverse ""
||| ```
public export
reverse : String -> String
reverse = prim__strReverse
||| Returns a substring of a given string
|||
||| @ index The (zero based) index of the string to extract. If this is beyond
||| the end of the string, the function returns the empty string.
||| @ len The desired length of the substring. Truncated if this exceeds the
||| length of the input
||| @ subject The string to return a portion of
public export
substr : (index : Nat) -> (len : Nat) -> (subject : String) -> String
substr s e subj
= if natToInteger s < natToInteger (length subj)
then prim__strSubstr (prim__cast_IntegerInt (natToInteger s))
(prim__cast_IntegerInt (natToInteger e))
subj
else ""
||| Adds a character to the front of the specified string.
|||
||| ```idris example
||| strCons 'A' "B"
||| ```
||| ```idris example
||| strCons 'A' ""
||| ```
public export
strCons : Char -> String -> String
strCons = prim__strCons
public export
strUncons : String -> Maybe (Char, String)
strUncons "" = Nothing
strUncons str = assert_total $ Just (prim__strHead str, prim__strTail str)
||| Turns a list of characters into a string.
public export
pack : List Char -> String
pack [] = ""
pack (x :: xs) = strCons x (pack xs)
export
fastPack : List Char -> String
fastPack xs
= unsafePerformIO (schemeCall String "string" (toFArgs xs))
where
toFArgs : List Char -> FArgList
toFArgs [] = []
toFArgs (x :: xs) = x :: toFArgs xs
||| Turns a string into a list of characters.
|||
||| ```idris example
||| unpack "ABC"
||| ```
public export
unpack : String -> List Char
unpack str = unpack' (prim__cast_IntegerInt (natToInteger (length str)) - 1) str []
where
unpack' : Int -> String -> List Char -> List Char
unpack' pos str acc
= if pos < 0
then acc
else assert_total $ unpack' (pos - 1) str (assert_total (prim__strIndex str pos)::acc)
public export
Semigroup String where
(<+>) = (++)
public export
Monoid String where
neutral = ""
----------------
-- CHARACTERS --
----------------
||| Returns true if the character is in the range [A-Z].
public export
isUpper : Char -> Bool
isUpper x = x >= 'A' && x <= 'Z'
||| Returns true if the character is in the range [a-z].
public export
isLower : Char -> Bool
isLower x = x >= 'a' && x <= 'z'
||| Returns true if the character is in the ranges [A-Z][a-z].
public export
isAlpha : Char -> Bool
isAlpha x = isUpper x || isLower x
||| Returns true if the character is in the range [0-9].
public export
isDigit : Char -> Bool
isDigit x = (x >= '0' && x <= '9')
||| Returns true if the character is in the ranges [A-Z][a-z][0-9].
public export
isAlphaNum : Char -> Bool
isAlphaNum x = isDigit x || isAlpha x
||| Returns true if the character is a whitespace character.
public export
isSpace : Char -> Bool
isSpace x
= x == ' ' || x == '\t' || x == '\r' ||
x == '\n' || x == '\f' || x == '\v' ||
x == '\xa0'
||| Returns true if the character represents a new line.
public export
isNL : Char -> Bool
isNL x = x == '\r' || x == '\n'
||| Convert a letter to the corresponding upper-case letter, if any.
||| Non-letters are ignored.
public export
toUpper : Char -> Char
toUpper x
= if (isLower x)
then prim__cast_IntChar (prim__cast_CharInt x - 32)
else x
||| Convert a letter to the corresponding lower-case letter, if any.
||| Non-letters are ignored.
public export
toLower : Char -> Char
toLower x
= if (isUpper x)
then prim__cast_IntChar (prim__cast_CharInt x + 32)
else x
||| Returns true if the character is a hexadecimal digit i.e. in the range
||| [0-9][a-f][A-F].
public export
isHexDigit : Char -> Bool
isHexDigit x = elem (toUpper x) hexChars where
hexChars : List Char
hexChars
= ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'A', 'B', 'C', 'D', 'E', 'F']
||| Returns true if the character is an octal digit.
public export
isOctDigit : Char -> Bool
isOctDigit x = (x >= '0' && x <= '7')
||| Returns true if the character is a control character.
public export
isControl : Char -> Bool
isControl x
= (x >= '\x0000' && x <= '\x001f')
|| (x >= '\x007f' && x <= '\x009f')
||| Convert the number to its backend dependent (usually Unicode) Char
||| equivalent.
public export
chr : Int -> Char
chr = prim__cast_IntChar
||| Return the backend dependent (usually Unicode) numerical equivalent of the Char.
public export
ord : Char -> Int
ord = prim__cast_CharInt
-----------------------
-- DOUBLE PRIMITIVES --
-----------------------
public export
pi : Double
pi = 3.14159265358979323846
public export
euler : Double
euler = 2.7182818284590452354
public export
exp : Double -> Double
exp x = prim__doubleExp x
public export
log : Double -> Double
log x = prim__doubleLog x
public export
pow : Double -> Double -> Double
pow x y = exp (y * log x)
public export
sin : Double -> Double
sin x = prim__doubleSin x
public export
cos : Double -> Double
cos x = prim__doubleCos x
public export
tan : Double -> Double
tan x = prim__doubleTan x
public export
asin : Double -> Double
asin x = prim__doubleASin x
public export
acos : Double -> Double
acos x = prim__doubleACos x
public export
atan : Double -> Double
atan x = prim__doubleATan x
public export
sinh : Double -> Double
sinh x = (exp x - exp (-x)) / 2
public export
cosh : Double -> Double
cosh x = (exp x + exp (-x)) / 2
public export
tanh : Double -> Double
tanh x = sinh x / cosh x
public export
sqrt : Double -> Double
sqrt x = prim__doubleSqrt x
public export
floor : Double -> Double
floor x = prim__doubleFloor x
public export
ceiling : Double -> Double
ceiling x = prim__doubleCeiling x
-----------
-- CASTS --
-----------
-- Casts between primitives only here. They might be lossy.
||| Interface for transforming an instance of a data type to another type.
public export
interface Cast from to where
||| Perform a (potentially lossy!) cast operation.
||| @ orig The original type
cast : (orig : from) -> to
-- To String
export
Cast Int String where
cast = prim__cast_IntString
export
Cast Integer String where
cast = prim__cast_IntegerString
export
Cast Char String where
cast = prim__cast_CharString
export
Cast Double String where
cast = prim__cast_DoubleString
-- To Integer
export
Cast Int Integer where
cast = prim__cast_IntInteger
export
Cast Char Integer where
cast = prim__cast_CharInteger
export
Cast Double Integer where
cast = prim__cast_DoubleInteger
export
Cast String Integer where
cast = prim__cast_StringInteger
export
Cast Nat Integer where
cast = natToInteger
-- To Int
export
Cast Integer Int where
cast = prim__cast_IntegerInt
export
Cast Char Int where
cast = prim__cast_CharInt
export
Cast Double Int where
cast = prim__cast_DoubleInt
export
Cast String Int where
cast = prim__cast_StringInt
export
Cast Nat Int where
cast = fromInteger . natToInteger
-- To Char
export
Cast Int Char where
cast = prim__cast_IntChar
-- To Double
export
Cast Int Double where
cast = prim__cast_IntDouble
export
Cast Integer Double where
cast = prim__cast_IntegerDouble
export
Cast String Double where
cast = prim__cast_StringDouble
export
Cast Nat Double where
cast = prim__cast_IntegerDouble . natToInteger
------------
-- RANGES --
------------
public export
countFrom : n -> (n -> n) -> Stream n
countFrom start diff = start :: countFrom (diff start) diff
-- this and takeBefore are for range syntax, and not exported here since
-- they're partial. They are exported from Data.Stream instead.
partial
takeUntil : (n -> Bool) -> Stream n -> List n
takeUntil p (x :: xs)
= if p x
then [x]
else x :: takeUntil p xs
partial
takeBefore : (n -> Bool) -> Stream n -> List n
takeBefore p (x :: xs)
= if p x
then []
else x :: takeBefore p xs
public export
interface Range a where
rangeFromTo : a -> a -> List a
rangeFromThenTo : a -> a -> a -> List a
rangeFrom : a -> Stream a
rangeFromThen : a -> a -> Stream a
-- Idris 1 went to great lengths to prove that these were total. I don't really
-- think it's worth going to those lengths! Let's keep it simple and assert.
export
Range Nat where
rangeFromTo x y
= if y > x
then assert_total $ takeUntil (>= y) (countFrom x S)
else if x > y
then assert_total $ takeUntil (<= y) (countFrom x (\n => minus n 1))
else [x]
rangeFromThenTo x y z
= if y > x
then (if z > x
then assert_total $ takeBefore (> z) (countFrom x (plus (minus y x)))
else [])
else (if x == y
then (if x == z then [x] else [])
else assert_total $ takeBefore (< z) (countFrom x (\n => minus n (minus x y))))
rangeFrom x = countFrom x S
rangeFromThen x y
= if y > x
then countFrom x (plus (minus y x))
else countFrom x (\n => minus n (minus x y))
export
(Integral a, Ord a, Neg a) => Range a where
rangeFromTo x y
= if y > x
then assert_total $ takeUntil (>= y) (countFrom x (+1))
else if x > y
then assert_total $ takeUntil (<= y) (countFrom x (\x => x-1))
else [x]
rangeFromThenTo x y z
= if (z - x) > (z - y)
then -- go up
assert_total $ takeBefore (> z) (countFrom x (+ (y-x)))
else if (z - x) < (z - y)
then -- go down
assert_total $ takeBefore (< z) (countFrom x (\n => n - (x - y)))
else -- meaningless
if x == y && y == z
then [x] else []
rangeFrom x = countFrom x (1+)
rangeFromThen x y
= if y > x
then countFrom x (+ (y - x))
else countFrom x (\n => n - (x - y))

View File

@ -28,3 +28,12 @@ Uninhabited Void where
public export
absurd : Uninhabited t => (h : t) -> a
absurd h = void (uninhabited h)
public export
Uninhabited (True = False) where
uninhabited Refl impossible
public export
Uninhabited (False = True) where
uninhabited Refl impossible

View File

@ -6,4 +6,11 @@ modules = Builtin,
PrimIO,
Prelude,
Prelude.Basics,
Prelude.EqOrd,
Prelude.Interfaces,
Prelude.IO,
Prelude.Num,
Prelude.Ops,
Prelude.Show,
Prelude.Types,
Prelude.Uninhabited

View File

@ -136,14 +136,14 @@ mkDropSubst i es rest (x :: xs)
-- Common.idr, so that they get compiled, as they won't be spotted by the
-- usual calls to 'getRefs'.
natHack : CExp vars -> CExp vars
natHack (CCon fc (NS ["Prelude"] (UN "Z")) _ []) = CPrimVal fc (BI 0)
natHack (CCon fc (NS ["Prelude"] (UN "S")) _ [k])
natHack (CCon fc (NS ["Types", "Prelude"] (UN "Z")) _ []) = CPrimVal fc (BI 0)
natHack (CCon fc (NS ["Types", "Prelude"] (UN "S")) _ [k])
= CApp fc (CRef fc (UN "prim__add_Integer")) [CPrimVal fc (BI 1), k]
natHack (CApp fc (CRef _ (NS ["Prelude"] (UN "natToInteger"))) [k]) = k
natHack (CApp fc (CRef _ (NS ["Prelude"] (UN "integerToNat"))) [k]) = k
natHack (CApp fc (CRef fc' (NS ["Prelude"] (UN "plus"))) args)
natHack (CApp fc (CRef _ (NS ["Types", "Prelude"] (UN "natToInteger"))) [k]) = k
natHack (CApp fc (CRef _ (NS ["Types", "Prelude"] (UN "integerToNat"))) [k]) = k
natHack (CApp fc (CRef fc' (NS ["Types", "Prelude"] (UN "plus"))) args)
= CApp fc (CRef fc' (UN "prim__add_Integer")) args
natHack (CApp fc (CRef fc' (NS ["Prelude"] (UN "mult"))) args)
natHack (CApp fc (CRef fc' (NS ["Types", "Prelude"] (UN "mult"))) args)
= CApp fc (CRef fc' (UN "prim__mul_Integer")) args
natHack (CApp fc (CRef fc' (NS ["Nat", "Data"] (UN "minus"))) args)
= CApp fc (CRef fc' (UN "prim__sub_Integer")) args
@ -151,22 +151,22 @@ natHack (CLam fc x exp) = CLam fc x (natHack exp)
natHack t = t
isNatCon : Name -> Bool
isNatCon (NS ["Prelude"] (UN "Z")) = True
isNatCon (NS ["Prelude"] (UN "S")) = True
isNatCon (NS ["Types", "Prelude"] (UN "Z")) = True
isNatCon (NS ["Types", "Prelude"] (UN "S")) = True
isNatCon _ = False
natBranch : CConAlt vars -> Bool
natBranch (MkConAlt n _ _ _) = isNatCon n
trySBranch : CExp vars -> CConAlt vars -> Maybe (CExp vars)
trySBranch n (MkConAlt (NS ["Prelude"] (UN "S")) _ [arg] sc)
trySBranch n (MkConAlt (NS ["Types", "Prelude"] (UN "S")) _ [arg] sc)
= let fc = getFC n in
Just (CLet fc arg True (CApp fc (CRef fc (UN "prim__sub_Integer"))
[n, CPrimVal fc (BI 1)]) sc)
trySBranch _ _ = Nothing
tryZBranch : CConAlt vars -> Maybe (CExp vars)
tryZBranch (MkConAlt (NS ["Prelude"] (UN "Z")) _ [] sc) = Just sc
tryZBranch (MkConAlt (NS ["Types", "Prelude"] (UN "Z")) _ [] sc) = Just sc
tryZBranch _ = Nothing
getSBranch : CExp vars -> List (CConAlt vars) -> Maybe (CExp vars)
@ -198,15 +198,15 @@ boolHackTree (CConCase fc sc alts def)
CConstCase fc sc alts' def
where
toBool : CConAlt vars -> Maybe (CConstAlt vars)
toBool (MkConAlt (NS ["Prelude"] (UN "True")) (Just tag) [] sc)
toBool (MkConAlt (NS ["Basics", "Prelude"] (UN "True")) (Just tag) [] sc)
= Just $ MkConstAlt (I tag) sc
toBool (MkConAlt (NS ["Prelude"] (UN "False")) (Just tag) [] sc)
toBool (MkConAlt (NS ["Basics", "Prelude"] (UN "False")) (Just tag) [] sc)
= Just $ MkConstAlt (I tag) sc
toBool (MkConAlt (NS ["Prelude"] (UN "LT")) (Just tag) [] sc)
toBool (MkConAlt (NS ["EqOrd", "Prelude"] (UN "LT")) (Just tag) [] sc)
= Just $ MkConstAlt (I tag) sc
toBool (MkConAlt (NS ["Prelude"] (UN "EQ")) (Just tag) [] sc)
toBool (MkConAlt (NS ["EqOrd", "Prelude"] (UN "EQ")) (Just tag) [] sc)
= Just $ MkConstAlt (I tag) sc
toBool (MkConAlt (NS ["Prelude"] (UN "GT")) (Just tag) [] sc)
toBool (MkConAlt (NS ["EqOrd", "Prelude"] (UN "GT")) (Just tag) [] sc)
= Just $ MkConstAlt (I tag) sc
toBool _ = Nothing
boolHackTree t = t
@ -219,15 +219,15 @@ mutual
= pure $ CLocal fc prf
-- TMP HACK: extend this to all types which look like enumerations
-- after erasure
toCExpTm n (Ref fc (DataCon tag Z) (NS ["Prelude"] (UN "True")))
toCExpTm n (Ref fc (DataCon tag Z) (NS ["Basics", "Prelude"] (UN "True")))
= pure $ CPrimVal fc (I tag)
toCExpTm n (Ref fc (DataCon tag Z) (NS ["Prelude"] (UN "False")))
toCExpTm n (Ref fc (DataCon tag Z) (NS ["Basics", "Prelude"] (UN "False")))
= pure $ CPrimVal fc (I tag)
toCExpTm n (Ref fc (DataCon tag Z) (NS ["Prelude"] (UN "LT")))
toCExpTm n (Ref fc (DataCon tag Z) (NS ["EqOrd", "Prelude"] (UN "LT")))
= pure $ CPrimVal fc (I tag)
toCExpTm n (Ref fc (DataCon tag Z) (NS ["Prelude"] (UN "EQ")))
toCExpTm n (Ref fc (DataCon tag Z) (NS ["EqOrd", "Prelude"] (UN "EQ")))
= pure $ CPrimVal fc (I tag)
toCExpTm n (Ref fc (DataCon tag Z) (NS ["Prelude"] (UN "GT")))
toCExpTm n (Ref fc (DataCon tag Z) (NS ["EqOrd", "Prelude"] (UN "GT")))
= pure $ CPrimVal fc (I tag)
toCExpTm n (Ref fc (DataCon tag arity) fn)
= -- get full name for readability, and the Nat hack

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@ -39,8 +39,12 @@ appCon fc defs n args
resolved (gamma defs) (apply fc fn args)
export
prelude : String -> Name
prelude n = NS ["Prelude"] (UN n)
preludetypes : String -> Name
preludetypes n = NS ["Types", "Prelude"] (UN n)
export
basics : String -> Name
basics n = NS ["Basics", "Prelude"] (UN n)
export
builtin : String -> Name
@ -136,8 +140,8 @@ Reify Bool where
export
Reflect Bool where
reflect fc defs lhs env True = getCon fc defs (prelude "True")
reflect fc defs lhs env False = getCon fc defs (prelude "False")
reflect fc defs lhs env True = getCon fc defs (basics "True")
reflect fc defs lhs env False = getCon fc defs (basics "False")
export
Reify Nat where
@ -152,10 +156,10 @@ Reify Nat where
export
Reflect Nat where
reflect fc defs lhs env Z = getCon fc defs (prelude "Z")
reflect fc defs lhs env Z = getCon fc defs (preludetypes "Z")
reflect fc defs lhs env (S k)
= do k' <- reflect fc defs lhs env k
appCon fc defs (prelude "S") [k']
appCon fc defs (preludetypes "S") [k']
export
Reify a => Reify (List a) where
@ -171,11 +175,11 @@ Reify a => Reify (List a) where
export
Reflect a => Reflect (List a) where
reflect fc defs lhs env [] = appCon fc defs (prelude "Nil") [Erased fc False]
reflect fc defs lhs env [] = appCon fc defs (preludetypes "Nil") [Erased fc False]
reflect fc defs lhs env (x :: xs)
= do x' <- reflect fc defs lhs env x
xs' <- reflect fc defs lhs env xs
appCon fc defs (prelude "::") [Erased fc False, x', xs']
appCon fc defs (preludetypes "::") [Erased fc False, x', xs']
export
Reify a => Reify (Maybe a) where
@ -190,10 +194,10 @@ Reify a => Reify (Maybe a) where
export
Reflect a => Reflect (Maybe a) where
reflect fc defs lhs env Nothing = appCon fc defs (prelude "Nothing") [Erased fc False]
reflect fc defs lhs env Nothing = appCon fc defs (preludetypes "Nothing") [Erased fc False]
reflect fc defs lhs env (Just x)
= do x' <- reflect fc defs lhs env x
appCon fc defs (prelude "Just") [Erased fc False, x']
appCon fc defs (preludetypes "Just") [Erased fc False, x']
export
(Reify a, Reify b) => Reify (a, b) where

View File

@ -99,7 +99,8 @@ perror (InvisibleName fc x Nothing)
perror (BadTypeConType fc n)
= pure $ "Return type of " ++ show n ++ " must be Type at:\n" ++ !(ploc fc)
perror (BadDataConType fc n fam)
= pure $ "Return type of " ++ show n ++ " must be in " ++ show fam ++ " at:\n" ++ !(ploc fc)
= pure $ "Return type of " ++ show n ++ " must be in "
++ show !(toFullNames fam) ++ " at:\n" ++ !(ploc fc)
perror (NotCovering fc n IsCovering)
= pure $ "Internal error (Coverage of " ++ show n ++ ")"
perror (NotCovering fc n (MissingCases cs))

View File

@ -95,11 +95,17 @@ unbracket tm = tm
||| Attempt to extract a constant natural number
extractNat : Nat -> PTerm -> Maybe Nat
extractNat acc tm = case tm of
PRef _ (NS ["Prelude"] (UN "Z")) => pure acc
PApp _ (PRef _ (NS ["Prelude"] (UN "S"))) k => extractNat (1 + acc) k
PPrimVal _ (BI n) => pure (acc + integerToNat n)
PBracketed _ k => extractNat acc k
_ => Nothing
PRef _ (NS ["Types", "Prelude"] (UN "Z"))
=> pure acc
PApp _ (PRef _ (NS ["Types", "Prelude"] (UN "S"))) k
=> extractNat (1 + acc) k
PRef _ (NS ["Prelude"] (UN "Z"))
=> pure acc
PApp _ (PRef _ (NS ["Prelude"] (UN "S"))) k
=> extractNat (1 + acc) k
PPrimVal _ (BI n) => pure (acc + integerToNat n)
PBracketed _ k => extractNat acc k
_ => Nothing
mutual
@ -121,6 +127,11 @@ mutual
_ => Nothing
_ => Nothing
-- refolding natural numbers if the expression is a constant
-- we might see either Prelude.Types.Nat or Prelude.Nat, depending on whether
-- unelaboration used the canonical name or not
sugarAppM (PRef fc (NS ["Types", "Prelude"] (UN "Z"))) = pure $ PPrimVal fc (BI 0)
sugarAppM (PApp fc (PRef _ (NS ["Types", "Prelude"] (UN "S"))) k) =
PPrimVal fc . BI . cast <$> extractNat 1 k
sugarAppM (PRef fc (NS ["Prelude"] (UN "Z"))) = pure $ PPrimVal fc (BI 0)
sugarAppM (PApp fc (PRef _ (NS ["Prelude"] (UN "S"))) k) =
PPrimVal fc . BI . cast <$> extractNat 1 k

View File

@ -237,7 +237,7 @@ checkQuoteDecl rig elabinfo nest env fc ds exp
qds <- reflect fc defs (onLHS (elabMode elabinfo)) env ds'
unqs <- get Unq
qd <- getCon fc defs (reflectionttimp "Decl")
qty <- appCon fc defs (prelude "List") [qd]
qty <- appCon fc defs (preludetypes "List") [qd]
checkExp rig elabinfo env fc
!(bindUnqs unqs rig elabinfo nest env qds)
(gnf env qty) exp

View File

@ -142,7 +142,10 @@ mutual
| Nothing => case umode of
ImplicitHoles => pure (Implicit fc True, gErased fc)
_ => pure (IVar fc n, gErased fc)
pure (IVar fc !(aliasName !(getFullName n)), gnf env (embed ty))
n' <- case umode of
NoSugar _ => getFullName n
_ => aliasName !(getFullName n)
pure (IVar fc n', gnf env (embed ty))
unelabTy' umode env (Meta fc n i args)
= do defs <- get Ctxt
let mkn = nameRoot n

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@ -8,18 +8,18 @@
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0000d9(:output (:ok (:highlight-source ((((:filename "LocType.idr") (:start 6 16) (:end 6 18)) ((:name "ys") (:namespace "") (:decor :bound) (:implicit :False) (:key "") (:doc-overview "") (:type "(Main.Vect m a)")))))) 1)
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000015(:return (:ok ()) 1)

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@ -8,18 +8,18 @@
0000ed(:output (:ok (:highlight-source ((((:filename "LocType.idr") (:start 7 18) (:end 7 20)) ((:name "ys") (:namespace "") (:decor :bound) (:implicit :False) (:key "") (:doc-overview "") (:type "(Main.Vect ?{_:242}_[] ?{_:241}_[])")))))) 1)
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000015(:return (:ok ()) 1)

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@ -78,9 +78,9 @@ join : m (m a) -> m a
Also called `flatten` or mu.
Implementations:
Monad IO
Monad Maybe
Monad (Either e)
Monad List
Monad IO
Main> Bye for now!

View File

@ -1,10 +1,10 @@
1/1: Building refprims (refprims.idr)
LOG 0: Name: Prelude.List.++
LOG 0: Type: (%pi Rig0 Implicit (Just a) %type (%pi Rig1 Explicit (Just xs) (Prelude.List a) (%pi RigW Explicit (Just {arg:6633}) (Prelude.List a) (Prelude.List a))))
LOG 0: Name: Prelude.Strings.++
LOG 0: Name: Prelude.Types.List.++
LOG 0: Type: (%pi Rig0 Implicit (Just a) %type (%pi Rig1 Explicit (Just xs) (Prelude.Types.List a) (%pi RigW Explicit (Just {arg:2578}) (Prelude.Types.List a) (Prelude.Types.List a))))
LOG 0: Name: Prelude.Types.Strings.++
LOG 0: Type: (%pi Rig1 Explicit (Just x) String (%pi Rig1 Explicit (Just y) String String))
LOG 0: Resolved name: Prelude.Nat
LOG 0: Constructors: [Prelude.Z, Prelude.S]
LOG 0: Resolved name: Prelude.Types.Nat
LOG 0: Constructors: [Prelude.Types.Z, Prelude.Types.S]
refprims.idr:43:10--43:27:While processing right hand side of dummy1 at refprims.idr:43:1--45:1:
Error during reflection: Not really trying at:
43 dummy1 = %runElab logPrims

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@ -1,7 +1,7 @@
1/1: Building refleq (refleq.idr)
LOG 0: [x, y]
LOG 0: Left: ((Prelude.plus x) y)
LOG 0: Right: ((Prelude.plus y) x)
LOG 0: Left: ((Prelude.Types.plus x) y)
LOG 0: Right: ((Prelude.Types.plus y) x)
refleq.idr:24:16--24:21:While processing right hand side of commutes at refleq.idr:24:1--25:1:
Error during reflection: Not done at:
24 commutes x y = prove

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@ -9,14 +9,14 @@ data NatExpr : Nat -> Type where
Val : (val : Nat) -> NatExpr val
getNatExpr : TTImp -> Elab (n ** NatExpr n)
getNatExpr `(Prelude.plus ~(x) ~(y))
getNatExpr `(Prelude.Types.plus ~(x) ~(y))
= do (_ ** xval) <- getNatExpr x
(_ ** yval) <- getNatExpr y
pure (_ ** Plus xval yval)
getNatExpr `(Prelude.mult (Prelude.S (Prelude.S Prelude.Z)) ~(y))
getNatExpr `(Prelude.Types.mult (Prelude.Types.S (Prelude.Types.S Prelude.Types.Z)) ~(y))
= do (y ** yval) <- getNatExpr y
pure (_ ** Dbl yval)
getNatExpr `(Prelude.mult ~(x) ~(y))
getNatExpr `(Prelude.Types.mult ~(x) ~(y))
= do (_ ** xval) <- getNatExpr x
(_ ** yval) <- getNatExpr y
pure (_ ** Mult xval yval)