Modelica® - A Unified Object-Oriented Language for Systems Modeling Language Specification Version 3.4 A Glossary C Modelica DAE Representation

Appendix B Modelica Concrete Syntax

B.1 Lexical conventions

The following syntactic meta symbols are used (extended BNF):

⬇

[ ] optional

{ } repeat zero or more times

| or

"text" The text is treated as a single token (no whitespace between any characters)

The following lexical units are defined (the ones in boldface are the ones used in the grammar, the rest are just internal to the definition of other lexical units):

⬇

IDENT = NONDIGIT { DIGIT | NONDIGIT } | Q-IDENT

Q-IDENT = "’" ( Q-CHAR | S-ESCAPE ) { Q-CHAR | S-ESCAPE | """ } "’"

NONDIGIT = "_" | letters "a" to "z" | letters "A" to "Z"

STRING = """ { S-CHAR | S-ESCAPE } """

S-CHAR = see below

Q-CHAR = NONDIGIT | DIGIT | "!" | "#" | "$" | "%" | "&" | "(" | ")" | "*" | "+" | "," |

"-" | "." | "/" | ":" | ";" | "<" | ">" | "=" | "?" | "@" | "[" | "]" | "^" |

"{" | "}" | "|" | "~" | " "

S-ESCAPE = "\’" | "\"" | "\?" | "\\" |

"\a" | "\b" | "\f" | "\n" | "\r" | "\t" | "\v"

DIGIT = "0" | "1" | "2" | "3" | "4" | "5" | "6" | "7" | "8" | "9"

UNSIGNED-INTEGER = DIGIT { DIGIT }

UNSIGNED-NUMBER = UNSIGNED-INTEGER [ "." [ UNSIGNED-INTEGER ] ]

[ ( "e" | "E" ) [ "+" | "-" ] UNSIGNED-INTEGER ]’

S-CHAR is any member of the Unicode character set (http://www.unicode.org; see section 13.2.2 for storing as UTF-8 on files) except double-quote ”””, and backslash ”\”

For identifiers the redundant escapes (’\?’ and ’\"’) are the same as the corresponding non-escaped variants (’?’ and ’"’). [The single quotes are part of an identifier. E.g. ’x’ and x are different IDENTs].

Note:

•

Whitespace and comments can be used between separate lexical units and/or symbols, and also separates them. Whitespace and comments cannot be used inside other lexical units, except for STRING and Q-IDENT where they are treated as part of the STRING or Q-IDENT lexical unit.
•

String constant concatenation "a" "b" becoming "ab" (as in C) is replaced by the "+" operator in Modelica.
•

Modelica uses the same comment syntax as C++ and Java (i.e., // signals the start of a line comment and /**/ …. */ is a multi-line comment); comments may contain any Unicode character. Modelica also has structured comments in the form of annotations and string comments.
•

Description strings (= production “string-comment” in the grammar) and strings in annotations (= STRING with production annotation-comment in the grammar) may contain any member of the Unicode character set. All other strings have to contain only the sub-set of Unicode characters identical with the 7-bit US-ASCII character set. [As a consequence, operators like “>” or “<”, and external functions only operate on ASCII strings and not on Unicode-strings. Within a description string the tags <HTML> and </HTML> or <html> and </html> define optionally begin and end of content that is HTML encoded.]
•

Boldface denotes keywords of the Modelica language. Keywords are reserved words and may not be used as identifiers.
•

Productions use hyphen as separator both in the grammar and in the text. Previously the grammar used underscore.

B.2 Grammar

B.2.1 Stored Definition – Within

⬇

stored-definition:

[ within [ name ] ";" ]

{ [ final ] class-definition ";" }

B.2.2 Class Definition

⬇

class-definition :

[ encapsulated ] class-prefixes

class-specifier

class-prefixes :

[ partial ]

package | [ ( pure | impure ) ] [ operator ] function | operator )

class-specifier :

long-class-specifier | short-class-specifier | der-class-specifier

long-class-specifier :

IDENT string-comment composition end IDENT

| extends IDENT [ class-modification ] string-comment composition

end IDENT

short-class-specifier :

IDENT "=" base-prefix type-specifier [ array-subscripts ]

[ class-modification ] comment

| IDENT "=" enumeration "(" ( [enum-list] | ":" ) ")" comment

der-class-specifier :

IDENT "=" der "(" type-specifier "," IDENT { "," IDENT } ")" comment

base-prefix :

[ input | output ]

enum-list : enumeration-literal { "," enumeration-literal}

enumeration-literal : IDENT comment

composition :

element-list

{ public element-list |

protected element-list |

equation-section |

algorithm-section

}

[ external [ language-specification ]

[ external-function-call ] [ annotation-comment ] ";" ]

[ annotation-comment ";" ]

language-specification :

STRING

external-function-call :

[ component-reference "=" ]

IDENT "(" [ expression-list ] ")"

element-list :

{ element ";" }

element :

import-clause |

extends-clause |

[ redeclare ]

[ final ]

[ inner ] [ outer ]

( ( class-definition | component-clause) |

replaceable ( class-definition | component-clause)

[constraining-clause comment])

import-clause :

import ( IDENT "=" name | name ["." ( "*" | "{" import-list "}" ) ] ) comment

import-list :

IDENT { "," IDENT }

B.2.3 Extends

⬇

extends-clause :

extends type-specifier [ class-modification ] [annotation]

constraining-clause :

constrainedby type-specifier [ class-modification ]

B.2.4 Component Clause

⬇

component-clause:

type-prefix type-specifier [ array-subscripts ] component-list

type-prefix :

[ flow | stream ]

[ discrete | parameter | constant ] [ input | output ]

component-list :

component-declaration { "," component-declaration }

component-declaration :

declaration [ condition-attribute ] comment

condition-attribute:

if expression

declaration :

IDENT [ array-subscripts ] [ modification ]

B.2.5 Modification

⬇

modification :

class-modification [ "=" expression ]

| "=" expression

| ":=" expression

class-modification :

"(" [ argument-list ] ")"

argument-list :

argument { "," argument }

argument :

element-modification-or-replaceable

| element-redeclaration

element-modification-or-replaceable:

[ each ] [ final ] ( element-modification | element-replaceable)

element-modification :

name [ modification ] string-comment

element-redeclaration :

redeclare [ each ] [ final ]

( ( short-class-definition | component-clause1) | element-replaceable )

element-replaceable:

replaceable ( short-class-definition | component-clause1)

[constraining-clause]

component-clause1 :

type-prefix type-specifier component-declaration1

component-declaration1 :

declaration comment

short-class-definition :

class-prefixes short-class-specifier

B.2.6 Equations

⬇

equation-section :

[ initial ] equation { equation ";" }

algorithm-section :

[ initial ] algorithm { statement ";" }

equation :

( simple-expression "=" expression

| if-equation

| for-equation

| connect-clause

| when-equation

| component-reference function-call-args )

comment

statement :

( component-reference ( ":=" expression | function-call-args )

| "(" output-expression-list ")" ":=" component-reference function-call-args

| break

| return

| if-statement

| for-statement

| while-statement

| when-statement )

comment

if-equation :

if expression then

{ equation ";" }

{ elseif expression then

{ equation ";" }

}

[ else

{ equation ";" }

]

end if

if-statement :

if expression then

{ statement ";" }

{ elseif expression then

{ statement ";" }

}

[ else

{ statement ";" }

]

end if

for-equation :

for for-indices loop

{ equation ";" }

end for

for-statement :

for for-indices loop

{ statement ";" }

end for

for-indices :

for-index {"," for-index}

for-index:

IDENT [ in expression ]

while-statement :

while expression loop

{ statement ";" }

end while

when-equation :

when expression then

{ equation ";" }

{ elsewhen expression then

{ equation ";" } }

end when

when-statement :

when expression then

{ statement ";" }

{ elsewhen expression then

{ statement ";" } }

end when

connect-clause :

connect "(" component-reference "," component-reference ")"

B.2.7 Expressions

⬇

expression :

simple-expression

| if expression then expression { elseif expression then expression }

else expression

simple-expression :

logical-expression [ ":" logical-expression [ ":" logical-expression ] ]

logical-expression :

logical-term { or logical-term }

logical-term :

logical-factor { and logical-factor }

logical-factor :

[ not ] relation

relation :

arithmetic-expression [ relational-operator arithmetic-expression ]

relational-operator :

"<" | "<=" | ">" | ">=" | "==" | "<>"

arithmetic-expression :

[ add-operator ] term { add-operator term }

add-operator :

"+" | "-" | ".+" | ".-"

term :

factor { mul-operator factor }

mul-operator :

"*" | "/" | ".*" | "./"

factor :

primary [ ("^" | ".^") primary ]

primary :

UNSIGNED-NUMBER

| STRING

| false

| true

| (component-reference | der | initial | pure ) function-call-args

| component-reference

| "(" output-expression-list ")"

| "[" expression-list { ";" expression-list } "]"

| "{" array-arguments "}"

| end

type-specifier : ["."] name

name : IDENT { "." IDENT }

component-reference :

[ "." ] IDENT [ array-subscripts ] { "." IDENT [ array-subscripts ] }

function-call-args :

"(" [ function-arguments ] ")"

function-arguments :

expression [ "," function_arguments-non-first | for for_indices ]

| function name "(" [ named_arguments ] ")" [ "," function-arguments-non-first ]

| named-arguments

function-arguments-non-first :

function-argument [ "," function-arguments-non-first ]

| named-arguments

array-arguments :

expression [ "," array-arguments-non-first | for for-indices ]

array-arguments-non-first :

expression [ "," array-arguments-non-first ]

named-arguments: named-argument [ "," named-arguments ]

named-argument: IDENT "=" function-argument

function-argument :

function name "(" [ named-arguments ] ")" | expression

output-expression-list:

[ expression ] { "," [ expression ] }

expression-list :

expression { "," expression }

array-subscripts :

"[" subscript { "," subscript } "]"

subscript :

":" | expression

comment :

string-comment [ annotation-comment ]

string-comment :

[ STRING { "+" STRING } ]

annotation-comment :

annotation class-modification