Add a visualization of two ASTs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
This commit is contained in:
parent
615aeb72da
commit
ee13409b33
|
@ -117,11 +117,31 @@ is called an [Abstract Syntax Tree](https://en.wikipedia.org/wiki/Abstract_synta
|
|||
Notably, though `2-(x+y)` has parentheses, our grammar above does not include
|
||||
include them as a case. The reason for this is that the structure of an
|
||||
abstract syntax tree is sufficient to encode the order in which the operations
|
||||
should be evaluated.
|
||||
should be evaluated. Since I lack a nice way of drawing ASTs, I will use
|
||||
an ASCII drawing to show an example.
|
||||
|
||||
{{< todo >}}
|
||||
Probably two drawings of differently-associated ASTs here.
|
||||
{{< /todo >}}
|
||||
```
|
||||
Expression: 2 - (x+y)
|
||||
(-)
|
||||
/ \
|
||||
2 (+)
|
||||
/ \
|
||||
x y
|
||||
|
||||
|
||||
Expression: (2-x) + y
|
||||
(+)
|
||||
/ \
|
||||
(-) y
|
||||
/ \
|
||||
2 x
|
||||
```
|
||||
|
||||
Above, in the first AST, `(+)` is a child of the `(-)` node, which means
|
||||
that it's a sub-expression. As a result, that subexpression is evaluated first,
|
||||
before evaluating `(-)`, and so, the AST expresents `2-(x+y)`. In the other
|
||||
example, `(-)` is a child of `(+)`, and is therefore evaluated first. The resulting
|
||||
association encoded by that AST is `(2-x)+y`.
|
||||
|
||||
To an Agda programmer, the one-of-four-things definition above should read
|
||||
quite similarly to the definition of an algebraic data type. Indeed, this
|
||||
|
|
Loading…
Reference in New Issue
Block a user