Added beginnings of a transfer language reference.

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bringert
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- Problem
- Abstract syntax
- Concrete syntax
- Generate tree module
- Write transfer code
- Derive Compos and Eq

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- Problem
- Abstract syntax
- Concrete syntax
- Generate tree module
- Write transfer code
- Derive Compos and Eq
Transfer language reference
% NOTE: this is a txt2tags file.
% Create an html file from this file using:
% txt2tags transfer.txt
%!target:html
%!options(html): --toc
This document describes the features of the Transfer language.
See the Transfer tutorial for how to compile and use Transfer programs.
Transfer is a dependently typed functional programming language
with eager evaluation.
== Layout syntax==
Transfer uses layout syntax, where the indentation of a piece of code
determines which syntactic block it belongs to.
To give the block structure of a piece of code without using layout
syntax, you can enclose the block in curly braces (``{ }``) and
separate the parts of the blocks with semicolons (``;``).
== Top-level stuff ==
=== Imports ===
A Transfer module start with some imports. Most modules will have to
import the prelude, which contains definitons used by most programs:
```
import prelude
```
=== Declaring functions ===
Functions need to be given a type and a definition. The type is given
by a typing judgement on the form:
```
f : T
```
where ``f`` is the function's name, and ``T`` its type.
The definition of the function is the given as a sequence of pattern
equations. The first equation whose patterns match the function arguments
is used when the function is called. Pattern equations are on the form:
```
f p1 ... p1n = exp
...
f qn1 ... qnm = exp
```
=== Declaring new data types ===
Transfer supports Generalized Algebraic Datatypes.
They are declared thusly:
```
data D : T where
c1 : Tc1
...
cn : Tcn
```
Here ``D`` is the name of the data type, ``T`` is the type of the type
constructor, ``c1`` to ``cn`` are the data constructor names, and
``Tc1`` to ``Tcn`` are their types.
== Local definitions ==
To give local definition to some names, use:
```
let x1 : T1 = exp1
...
xn : Tn = expn
in exp
```
== Types ==
=== Basic types ===
==== Integers ====
The type of integers is called ``Integer``.
standard decmial integer literals are used to represent values of this type.
==== Floating-point numbers ====
The only currently supported floating-point type is ``Double``, which supports
IEEE-754 double-precision floating-point numbers. Double literals are written
in decimal notation, e.g. "123.456".
==== Strings ====
There is a primitive ``String`` type. This might be replaced by a list of
characters representation in the future. String literals are written with double
quotes, e.g. ``"this is a string"``.
==== Booleans ====
Booleans are not a built-in type, though some features of the Transfer language
depend on them.
```
data Bool : Type where
True : Bool
False : Bool
```
In addition to normal pattern matching on booleans, you can use the built-in
if-expression:
```
if exp1 then exp2 else exp3
```
where ``exp1`` must be an expression of type ``Bool``.
=== Records ===
Record types are created by using a ``sig`` expression:
```
sig { p1 : T1; ... ; pn : Tn }
```
Here, ``p1`` to ``pn`` are the field labels and ``T1`` to ``Tn`` are their types.
Record values are constructed using ``rec`` expressions:
```
rec { p1 = exp1; ... ; pn = expn }
```
The curly braces and semicolons are simply explicit layout syntax, so
the record type and record expression above can also be written as:
```
sig p1 : T1
pn : Tn
```
```
rec p1 = exp1
pn = expn
```
==== Record subtyping ====
=== Tuples ===
Tuples on the form:
```
(exp1, ..., expn)
```
are syntactic sugar for records with fields ``p1`` to ``pn``. The expression
above is equivalent to:
```
rec { p1 = exp1; ... ; pn = expn }
```
=== Lists ===
The ``List`` type is not built-in, though there is some special syntax for it.
The list type is declared as:
```
data List : Type -> Type where
Nil : (A:Type) -> List A
Cons : (A:Type) -> A -> List A -> List A
```
The empty lists can be written as ``[]``. There is a operator ``::`` which can
be used instead of ``Cons``. These are just syntactic sugar for expressions
using ``Nil`` and ``Cons``, with the type arguments hidden.
== Pattern matching ==
Pattern matching is done in pattern equations and by using the
``case`` construct:
```
case exp of
p1 | guard1 -> rhs1
...
pn | guardn -> rhsn
```
``guard1`` to ``guardn`` are boolean expressions. Case arms can also be written
without guards, such as:
```
pk -> rhsk
```
This is the same as writing:
```
pk | True -> rhsk
```
The syntax of patterns are decribed below.
=== Constructor patterns ===
Constructor patterns are written as:
```
C p1 ... pn
```
where ``C`` is a data constructor which takes ``n`` arguments.
If the value to be matched is the constructor ``C`` applied to
arguments ``v1`` to ``vn``, then ``v1`` to ``vn`` will be matched
against ``p1`` to ``pn``.
=== Variable patterns ===
A variable pattern is a single identifier:
```
x
```
A variable pattern matches any value, and binds the variable name to the
value. A variable may not occur more than once in a pattern.
=== Wildcard patterns ===
Wildcard patterns are written as with a single underscore:
```
_
```
Wildcard patterns match all values and bind no variables.
=== Record patterns ===
Record patterns match record values:
```
rec { l1 = p1; ... ; ln = pn }
```
A record value matches a record pattern, if the record value has all the
fields ``l1`` to ``ln``, and their values match ``p1`` to ``pn``.
Note that a record value may have more fields than the record pattern and
they will still match.
=== Disjunctive patterns ===
It is possible to write a pattern on the form:
```
p1 || ... || pn
```
A value will match this pattern if it matches any of the patterns ``p1`` to ``pn``.
FIXME: talk about how this is expanded
=== List patterns ===
=== Tuple patterns ===
Tuples patterns on the form:
```
(p1, ... , pn)
```
are syntactic sugar for record patterns, in the same way as tuple expressions.
=== String literal patterns ===
String literals can be used as patterns.
=== Integer literal patterns ===
Integer literals can be used as patterns.
== Meta variables ==
== Type classes ==
== Operators ==
== Compositional functions ==