A formal description of the language acceptable to MATLAB, as well as a flow chart of the MATLAB program, is provided by the syntax diagrams or syntax graphs of Wirth [6]. There are eleven non-terminal symbols in the language:
line, statement, clause, expression, term, factor, number, integer, name, command, text .The diagrams define each of the non-terminal symbols using the others and the terminal symbols:
letter -- A through Z, digit -- 0 through 9, char -- ( ) ; : + - * / \ = . , < > quote -- '
line
|-----> statement >----|
| |
|-----> clause >-------|
| |
-------|-----> expr >---------|------>
| | | |
| |-----> command >------| |
| | | |
| |-> > >-> expr >-> < >-| |
| | | |
| |----------------------| |
| |
| |-< ; <-| |
|--------| |---------|
|-< , <-|
statement
|-> name >--------------------------------|
| | |
| | |--> : >---| |
| | | | |
| |-> ( >---|-> expr >-|---> ) >-|
| | | |
-----| |-----< , <----| |--> = >--> expr >--->
| |
| |--< , <---| |
| | | |
|-> < >---> name >---> > >----------------|
clause
|---> FOR >---> name >---> = >---> expr >--------------|
| |
| |-> WHILE >-| |
|-| |-> expr >---------------------- |
| |-> IF >-| | | | | | | |
-----| < <= = <> >= > |---->
| | | | | | | |
| ----------------------> expr >--|
| |
|---> ELSE >--------------------------------------------|
| |
|---> END >--------------------------------------------|
expr
|-> + >-|
| |
-------|-------|-------> term >---------->
| | | |
|-> - >-| | |-< + <-| |
| | | |
|--|-< - <-|--|
| |
|-< : <-|
term
---------------------> factor >---------------------->
| |
| |-< * <-| |
| |-------| | | |-------| |
|--| |--|-< / <-|--| |--|
|-< . <-| | | |-< . <-|
|-< \ <-|
factor
|----------------> number >---------------|
| |
|-> name >--------------------------------|
| | |
| | |--> : >---| |
| | | | |
| |-> ( >---|-> expr >-|---> ) >-|
| | | |
| |-----< , <----| |
| |
-----|------------> ( >-----> expr >-----> ) >-|-|-------|----->
| | | | |
| |--------------| | |-> ' >-| |
| | | | |
|------------> < >-|---> expr >---|-> > >-| |
| | | | |
| |--< <---| | |
| | | | |
| |--< ; <---| | |
| | | | |
| |--< , <---| | |
| | |
|------------> > >-----> expr >-----> < >-| |
| | |
|-----> factor >---> ** >---> factor >----| |
| |
|------------> ' >-----> text >-----> ' >-------------|
number
|----------| |-> + >-|
| | | |
-----> int >-----> . >---> int >-----> E >---------> int >---->
| | | | | |
| | | |-> - >-| |
| | | |
|---------------------------------------------|
int
------------> digit >----------->
| |
|-----------|
name
|--< letter <--|
| |
------> letter >--|--------------|----->
| |
|--< digit <--|
command
|--> name >--|
| |
--------> name >--------|------------|---->
| |
|--> char >--|
| |
|---> ' >----|
text
|-> letter >--|
| |
|-> digit >---|
----------------| |-------------->
| |-> char >----| |
| | | |
| |-> ' >-> ' >-| |
| |
|---------------------|