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IBAFLang/IBAF-cbs/IBAF/IBAF-Start/IBAF-Expressions.cbs
2024-03-10 09:53:47 +01:00

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Language "IBAFlang"
# 1: General expressions
Syntax Exp:exp ::= id
| int
| exp '+' exp
| exp '-' exp
| exp '<=' exp
| exp '<' exp
| id '(' paramvalues? ')'
| '(' exp ')'
| 'true'
| 'false'
| exp '*' exp
| exp '/' exp
| exp '%' exp
| exp '&&' exp
| exp '||' exp
| exp '==' exp
| exp '>=' exp
| exp '>' exp
Syntax ParamValues: paramvalues ::= exp (',' paramvalues)?
Semantics eval-exp[[ _:exp ]] : => values
Rule eval-exp[[ Id ]] = assigned(bound(id[[ Id ]]))
Rule eval-exp[[ Int ]] = int-val[[ Int ]]
Rule eval-exp[[ 'true' ]] = true
Rule eval-exp[[ 'false' ]] = false
Rule eval-exp[[ Exp1 '+' Exp2 ]] = int-add(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '-' Exp2 ]] = integer-subtract(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]]) // For some reason the funcon interpreter doesn't recognise the alias `int-sub` :/
Rule eval-exp[[ Exp1 '*' Exp2 ]] = int-mul(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '/' Exp2 ]] = checked int-div(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '%' Exp2 ]] = checked int-mod(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '&&' Exp2 ]] = and(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '||' Exp2 ]] = or(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '==' Exp2 ]] = is-equal(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
Rule eval-exp[[ Exp1 '>=' Exp2 ]] = is-greater-or-equal(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
Rule eval-exp[[ Exp1 '>' Exp2 ]] = is-greater(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
Rule eval-exp[[ Exp1 '<=' Exp2 ]] = is-less-or-equal(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
Rule eval-exp[[ Exp1 '<' Exp2 ]] = is-less(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
Rule eval-exp[[ Id '(' ParamValues? ')' ]] = handle-return apply(bound id[[ Id ]], eval-params[[ ParamValues? ]])
Rule eval-exp[[ '(' Exp ')' ]] = eval-exp[[ Exp ]]
Semantics eval-params[[ _:paramvalues? ]] : lists(values)
Rule eval-params[[ ]] = list()
Rule eval-params[[ Exp ]] = list(eval-exp[[ Exp ]])
Rule eval-params[[ Exp ',' ParamValues ]] = cons(eval-exp[[ Exp ]], eval-params[[ ParamValues ]])
Lexis Id:id ::= ('a'-'z' | 'A'-'Z') ('a'-'z' | 'A'-'Z' | '0'-'9')*
Semantics id[[ _:id ]] : identifiers
Rule id[[ Id ]] = \"Id\"
Syntax Int:int ::= '0' | ('-'?_decimal)
Semantics int-val[[ _:int ]] : ints
Rule int-val[[ '0' ]] = 0
Rule int-val[[ Dec ]] = dec-val[[ Dec ]]
Rule int-val[[ '-' Dec ]] = integer-negate(dec-val[[ Dec ]])
Lexis Dec:decimal ::= '1'-'9'('0'-'9')*
Semantics dec-val[[ _:decimal ]] : ints
Rule dec-val[[ Dec ]] = decimal-natural(\"Dec\")