first usable version
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66
IBAF-cbs/IBAF/IBAF-Start/IBAF-Expressions.cbs
Normal file
66
IBAF-cbs/IBAF/IBAF-Start/IBAF-Expressions.cbs
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Language "IBAFlang"
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# 1: General expressions
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Syntax Exp:exp ::= id
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| int
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| 'true'
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| 'false'
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| exp '+' exp
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| exp '-' exp
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| exp '*' exp
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| exp '/' exp
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| exp '%' exp
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| exp '&&' exp
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| exp '||' exp
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| exp '==' exp
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| exp '>=' exp
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| exp '>' exp
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| exp '<=' exp
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| exp '<' exp
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| '(' exp ')'
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Semantics eval-exp[[ _:exp ]] : => values
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Rule eval-exp[[ Id ]] = assigned(bound(id[[ Id ]]))
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Rule eval-exp[[ Int ]] = int-val[[ Int ]]
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Rule eval-exp[[ 'true' ]] = true
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Rule eval-exp[[ 'false' ]] = false
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Rule eval-exp[[ Exp1 '+' Exp2 ]] = int-add(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
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Rule eval-exp[[ Exp1 '-' Exp2 ]] = int-sub(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
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Rule eval-exp[[ Exp1 '*' Exp2 ]] = int-mul(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
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Rule eval-exp[[ Exp1 '/' Exp2 ]] = checked int-div(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
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Rule eval-exp[[ Exp1 '%' Exp2 ]] = checked int-mod(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
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Rule eval-exp[[ Exp1 '&&' Exp2 ]] = and(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
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Rule eval-exp[[ Exp1 '||' Exp2 ]] = and(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
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Rule eval-exp[[ Exp1 '==' Exp2 ]] = is-equal(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
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Rule eval-exp[[ Exp1 '>=' Exp2 ]] = is-greater-or-equal(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
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Rule eval-exp[[ Exp1 '>' Exp2 ]] = is-greater(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
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Rule eval-exp[[ Exp1 '<=' Exp2 ]] = is-less-or-equal(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
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Rule eval-exp[[ Exp1 '<' Exp2 ]] = is-less(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
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Rule eval-exp[[ '(' Exp ')' ]] = eval-exp[[ Exp ]]
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Lexis Id:id ::= ('a'-'z' | 'A'-'Z') ('a'-'z' | 'A'-'Z' | '0'-'9')*
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Semantics id[[ _:id ]] : ids
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Rule id[[ Id ]] = \"Id\"
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Syntax Int:int ::= '0' | ('-'?_decimal)
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Semantics int-val[[ _:int ]] : ints
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Rule int-val[[ '0' ]] = decimal-natural(\"0\")
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Rule int-val[[ Dec ]] = dec-val[[ Dec ]]
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Rule int-val[[ '-' Dec ]] = integer-negate(dec-val[[ Dec ]])
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Lexis Dec:decimal ::= '1'-'9'('0'-'9')*
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Semantics dec-val[[ _:decimal ]] : ints
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Rule dec-val[[ Dec ]] = decimal-natural(\"Dec\")
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