Translation of RSF-Files into DIMACS Format

Translation of Tristate Variables

Tristate variables will be translated into 2 variables. This translation shall be equal to the translation of Undertaker or !KConfigReader:

• One variable declaring whether the related KConfig variable is permanently selected
• One variable declaring whether the related KConfig variable is selected as a module.
• Only one of these variables can be selected at the same time.

The translation will be done as follows:

• In RSF:

  Item VARIABLE tristate
  

• In DIMACS:

  Not(VARIABLE) or Not(VARIABLE_MODULE)
  

• Meaning:

VARIABLE	VARIABLE_MODULE	Explanation
0	0	VARIABLE is permanently deselected ('n' was selected)
1	0	VARIABLE is permanently selected ('y' was selected)
0	1	VARIABLE is selected as a module ('m' was selected)
1	1	Illegal state

Translation of String, Integer, Hex Variables

Concrete Values

For String, Integer, and Hex variables we list all used values as different variables in the following form:

VARIABLE=<value>

For a not configured variable (or an empty String) a variable in the following form will be created:

VARIABLE=n

Further, constraints must ensure that exactly one variable will be selected:

• In Boolean formula:

  VARIABLE=n XOR VARIABLE=value1 XOR ... XOR VARIABLE=valueN
  

• In DIMACS:

  Not(VARIABLE=n) OR Not(VARIABLE=value1)
  Not(VARIABLE=n) OR (VARIABLE=value2)
  ...
  Not(VARIABLE=n) OR (VARIABLE=valueN)
  Not(VARIABLE=value1) OR (VARIABLE=value2)
  ...
  Not(VARIABLE=value1) OR (VARIABLE=valueN)
  ...
  VARIABLE=n OR VARIABLE=value1 OR ... OR VARIABLE=valueN
  

All combinations of 2 negated variables + 1 constraint were all variables are used in a positive combination.

Ranges

Ranges of Integers/Hex variables will not be considered. Since KConfig supports only == and != comparisons, only values used in constraints will be translated to DIMACS.

Translation of depends Constraints

Each variable can have multiple depends statements, specifying when the variable can be configured. The variable must remain unconfigured (in case of a Boolean or Tristate variable, it must be set to n), if none of the depends statements is fulfilled. Conditions will be translated as follows:

1. One Condition:
   • In RSF:

     depends Variable Condition
     

   • In Boolean formula:

     Not(Condition) implies Not(Variable)
     

   • In DIMACS:

     Condition or Not(Variable)
     

2. Multiple Conditions
   • In RSF:

     depends Variable Condition1
     depends Variable Condition2
     

   • In Boolean formula:

     Not(Condition1) and Not(Condition2) implies Not(Variable)
     

   • In DIMACS:

     Condition1 or Condition2 or Not(Variable)
     

Translation of ItemSelects Constraints

The ​KConfig specification defines select statements as follows:

reverse dependencies: "select" <symbol> ["if" <expr>]

While normal dependencies reduce the upper limit of a symbol (see below), reverse dependencies can be used to force a lower limit of another symbol. The value of the current menu symbol is used as the minimal value <symbol> can be set to. If <symbol> is selected multiple times, the limit is set to the largest selection. Reverse dependencies can only be used with boolean or tristate symbols.

1. Translation of Boolean ItemSelect statements:
   • In RSF:

     ItemSelects BOOLEAN_VAR OTHER_VAR CONDITION
     

   • In Boolean formula:

     (BOOLEAN_VAR and CONDITION) implies OTHER_VAR
     

   • In DIMACS:

     Not(BOOLEAN_VAR) or Not(CONDITION) or OTHER_VAR
     

2. Translation of Tristate ItemSelect statements:
   • In RSF:

     ItemSelects TRISTATE_VAR OTHER_VAR CONDITION
     

   • In Boolean formula:

     (TRISTATE_VAR and CONDITION) implies OTHER_VAR
     (TRISTATE_VAR_MODULE and CONDITION) implies OTHER_VAR_MODULE
     

   • In DIMACS:

     Not(TRISTATE_VAR) or Not(CONDITION) or OTHER_VAR
     Not(TRISTATE_VAR_MODULE) or Not(CONDITION) or OTHER_VAR_MODULE