# loc

Overview of the concepts:

`Loc`

- a cursor position, starting at the origin `1:1`

`Span`

- a nonempty contiguous region between two locs
`Area`

- a set of zero or more spans with gaps between them

See also:

- loc-test -
Test-related utilities for this package.

`Pos`

Since all of the numbers we're dealing with in this domain are positive, we
define a "positive integer" type. This is a newtype for `Natural`

that doesn't
allow zero.

```
newtype Pos = Pos Natural
deriving (Eq, Ord)
instance Num Pos where
fromInteger = Pos . checkForUnderflow . fromInteger
Pos x + Pos y = Pos (x + y)
Pos x - Pos y = Pos (checkForUnderflow (x - y))
Pos x * Pos y = Pos (x * y)
abs = id
signum _ = Pos 1
negate _ = throw Underflow
checkForUnderflow :: Natural -> Natural
checkForUnderflow n =
if n == 0 then throw Underflow else n
```

`Pos`

does not have an `Integral`

instance, because that would require
implementing `quotRem :: Pos -> Pos -> (Pos, Pos)`

, which doesn't make much
sense. Therefore we can't use `toInteger`

on `Pos`

. Instead we use our own
`ToNat`

class to convert positive numbers to natural numbers.

```
class ToNat a where
toNat :: a -> Natural
instance ToNat Pos where
toNat (Pos n) = n
```

`Line`

, `Column`

We then add some newtypes to be more specific about whether we're talking about
line or column numbers.

```
newtype Line = Line Pos
deriving (Eq, Ord, Num, Real, Enum, ToNat)
newtype Column = Column Pos
deriving (Eq, Ord, Num, Real, Enum, ToNat)
```

`Loc`

A `Loc`

is a `Line`

and a `Column`

.

```
data Loc = Loc
{ line :: Line
, column :: Column
}
deriving (Eq, Ord)
```

Note that this library has chosen to be remain entirely agnostic of the text
that the positions are referring to. Therefore there is no "plus one" operation
on `Loc`

, because the next `Loc`

after *4:17* could be either *4:18* or *5:1* -
we can't tell without knowing the line lengths.

`Span`

A `Span`

is a start `Loc`

and an end `Loc`

.

```
data Span = Span
{ start :: Loc
, end :: Loc
} deriving (Eq, Ord)
```

A `Span`

is not allowed to be empty; in other words, `start`

and `end`

must be
different.

There are two functions for constructing a `Span`

. They both reorder their
arguments as appropriate to make sure the start comes before the end (so that
spans are never backwards). They take different approaches to ensuring that
spans are never empty: the first can throw an exception, whereas the second is
typed as `Maybe`

.

```
fromTo :: Loc -> Loc -> Span
fromTo a b =
maybe (throw EmptySpan) id (fromToMay a b)
fromToMay :: Loc -> Loc -> Maybe Span
fromToMay a b =
case compare a b of
LT -> Just (Span a b)
GT -> Just (Span b a)
EQ -> Nothing
```

The choice to use an exclusive upper bound *[start, end)* rather than two
inclusive bounds *[start, end]* is forced by the decision to be text-agnostic.
With inclusive ranges, you couldn't tell whether span *4:16-4:17* abuts span
*5:1-5:2* without knowing whether the character at position *4:17* is a newline.

`Area`

Conceptually, an area is a set of spans. To support efficient union and
difference operations, `Area`

is defined like this:

```
data Terminus = Start | End
deriving (Eq, Ord)
newtype Area = Area (Map Loc Terminus)
deriving (Eq, Ord)
```

You can think of this as a sorted list of the spans' start and end positions,
along with a tag indicating whether each is a start or an end.

`Show`

We define custom `Show`

and `Read`

instances to be able to write terse
doctests like

```
>>> addSpan (read "1:1-6:1") (read "[1:1-3:1,6:1-6:2,7:4-7:5]")
[1:1-6:2,7:4-7:5]
```

These are the `showsPrec`

implementations for `Loc`

and `Span`

:

```
locShowsPrec :: Int -> Loc -> ShowS
locShowsPrec _ (Loc l c) =
shows l .
showString ":" .
shows c
spanShowsPrec :: Int -> Span -> ShowS
spanShowsPrec _ (Span a b) =
locShowsPrec 10 a .
showString "-" .
locShowsPrec 10 b
```

`Read`

The parser for `Pos`

is based on the parser for `Natural`

, applying ```
mfilter (/=
0)
```

to make the parser fail if the input represents a zero.

```
posReadPrec :: ReadPrec Pos
posReadPrec =
Pos <$> mfilter (/= 0) readPrec
```

As a reminder, the type of `mfilter`

is:

```
mfilter :: MonadPlus m => (a -> Bool) -> m a -> m a
```

The `Loc`

parser uses a very typical `Applicative`

pattern:

```
-- | Parses a single specific character.
readPrecChar :: Char -> ReadPrec ()
readPrecChar = void . readP_to_Prec . const . ReadP.char
locReadPrec :: ReadPrec Loc
locReadPrec =
Loc <$>
readPrec <*
readPrecChar ':' <*>
readPrec
```

We used `mfilter`

above to introduce failure into the `Pos`

parser; for `Span`

we use `empty`

.

```
empty :: Alternative f => f a
```

First we use `fromToMay`

to produce a `Maybe Span`

, and then in the case where
the result is `Nothing`

we use `empty`

to make the parser fail.

```
spanReadPrec :: ReadPrec Span
spanReadPrec =
locReadPrec >>= \a ->
readPrecChar '-' *>
locReadPrec >>= \b ->
maybe empty pure (fromToMay a b)
```

## Comparison to similar packages

`srcloc`

srcloc has a similar general
purpose: defining types related to positions in text files.

Some differences:

`srcloc`

's `Pos`

type (comparable to our `Loc`

type) has a `FilePath`

parameter, whereas this library doesn't consider file paths at all.
`srcloc`

has nothing comparable to the `Area`

type.

There are some undocumented aspects of `srcloc`

we find confusing:

- What does "character offset" mean?
- Does
`srcloc`

's `Loc`

type use inclusive or exclusive bounds?