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Un pas de plus vers l'automatisation

Un pas de plus vers l'automatisation

par Le Grincheux  

Pour automatiser la réductions des quines, le programme présenté il y a quelques articles est modifié pour générer automatiquement les diverses équations réduites directement du tableau des transitions. La procédure se fait grâce à un premier programme qui transforme le tableau des transitions en autant de fichiers qu'il y a de commandes de bascules :

#!/usr/local/bin/rpl -csp

/*
 * Format du fichier d'entrée :
 * abcdefghia'b'c'd'j3k3j2k2j1k1j0k0
 */

TRANSITIONS
<<
    { "length*(1)" }
    { { "name" "transitions.global" } "sequential" "old"
            "readonly" "flow" }
    open format

    0
    -> F_IN NB_LIGNES
    <<
        while
            F_IN "end of file" inquire not
        repeat
            ""
            do
                F_IN read 1 get
            until
                if
                    dup "\n" same
                    F_IN "end of file" inquire or
                then
                    drop true
                else
                    +
                    false
                end
            end

            if
                dup "" same not
            then
                'NB_LIGNES' incr
            else
                drop
            end

        end

        F_IN close
        NB_LIGNES ->table
    >>

    14
    -> L I
    <<
        { "j3" "k3" "j2" "k2" "j1" "k1" "j0" "k0" }
        forall E
            { "length*(*)" }

            "name" "transitions." E +

            if
                dup "existence" inquire
            then
                { "sequential" "replace" "readwrite" "flow" }
            else
                { "sequential" "new" "readwrite" "flow" }
            end

            rot rot 2 ->list 1 ->list swap +
            open format

            -> FICHIER
            <<
                1 L size for K
                    L K 1 ->list get I dup sub
                    -> F
                    <<
                        if
                            F "0" same not
                        then
                            if
                                F "X" same
                            then
                                "*"
                            else
                                ""
                            end
                            L K 1 ->list get 1 9 sub + "\n" +
                                    1 ->list
                            FICHIER write
                        end
                    >>
                next

                FICHIER close
            >>
            'I' incr
        next
    >>
>>

Cette première étape est suivie par une seconde qui transforme l'écriture réduite des états en un fichier compréhensible par qmc-cli :

#!/usr/local/bin/rpl -csp

/*
 * Format du fichier d'entrée :
 * 010X00X
 * *1111111
 * *X000X01
 *
 * Le X correspond à une valeur indifférente. Les entiers binaires
 * spécifiés doivent donner une combinaison vraie. Les lignes commençant par
 * une étoile indiquent un résultat indifférent.
 */

PRINCIPAL
<<
    { "j0" "k0" "j1" "k1" "j2" "k2" "j3" "k3" }
    forall I
        I TRANSITIONS
    next
>>

TRANSITIONS
<<
    -> E
    <<
        { "length*(1)" }
        "name" "transitions." E + 2 ->list 1 ->list
        { "sequential" "old" "readonly" "flow" } +
        open format

        0
        -> F_IN NB_LIGNES
        <<
            while
                F_IN "end of file" inquire not
            repeat
                ""
                do
                    F_IN read 1 get
                until
                    if
                        dup "\n" same
                        F_IN "end of file" inquire or
                    then
                        drop true
                    else
                        +
                        false
                    end
                end

                if
                    dup "" same not
                then
                    'NB_LIGNES' incr
                else
                    drop
                end

            end

            F_IN close
            NB_LIGNES ->list
        >>

        1
        -> LISTE I
        <<
            do
                LISTE I get ucase
                -> E
                <<
                    if
                        E "X" pos dup
                    then
                        // Il y a au moins un X
                        -> P
                        <<
                            { "0" "1" } forall J
                                if
                                    P 1 same
                                then
                                    J E 2 over size sub +
                                elseif
                                    P E size same
                                then
                                    E 1 over size 1 - sub J +
                                else
                                    E 1 P decr sub J +
                                    E P incr E size sub +
                                end
                            next

                            LISTE swap I swap put swap
                            1 ->list + 'LISTE' sto
                        >>
                    else
                        // Pas de X, on passe au suivant
                        drop
                        'I' incr
                    end
                >>
            until
                LISTE size I same
            end

            LISTE l->t << < >> sort

            { "length*(*)" }
            "name" E ".in" +

            if
                dup "existence" inquire
            then
                { "sequential" "replace" "flow" }
            else
                { "sequential" "new" "flow" }
            end

            rot rot 2 ->list 1 ->list swap +
            open format

            -> F_OUT
            <<
                forall I
                    if
                        I "*" pos
                    then
                        "x" "# " I 2 over size sub + "b" + str->
                        b->r ->str +
                    else
                        "# " I + "b" + str-> b->r ->str
                    end

                    ->str "\n" + 1 ->list F_OUT write
                next

                F_OUT close
            >>
        >>
    >>
>>

À la fin de la procédure, les huit fichiers j0.in, j1.in, j2.in, j3.in, k0.in, k1.in, k2.in et k3.in sont créés. Reste à les faire passer dans la moulinette qmc-cli pour obtenir la réduction des quines.

Après réduction, les équations deviennent :

j0=q3'q2'((q1 xor i) + iC255)+q3'q2(q1'i'+iPHT)+q3'i(PBT'+q1PHT)
k0=q2'P
BTC15(q1'iPHT'+q3'q1PHT)+q3'q2i'(q1+PHT)+q3q1'(q2'+q0PBT')
        +q3'q2i'PBT'
j1=q3'q2'q0'i'(PBT+PHT)+q3'q0i(PHT+C15)+q3'q2(i(PBT'+PHT')+q0PHT)
        +q3q2'q1'q0'(PHT+PBTC15)+q2q1'q0PBT'
k1=q3'q2'(q1'i'+q0PBTPHTC15)+q3'q2q0i'
j2=q3'q1'(q0'i'(PBT+PHT)+q0iPHT)+q3'q1(i(PBT'+qo'PHT)
        +q0(PBT'+C15))+q3q2'q1'q0'(PHT+PBTC15)+q3'q0iPBT'C15
k2=q3'q0(q1'(i+PBTPHT'C255)+q1i')
j3=q3'q0'i'(q1 xor q2)+q1'i'(q3'q2PBTPHT'C255+q2'q0)
k3=q2'q1'q0'(PHT+C15)+q2q1'q0(PBT'+C15)

Le schéma du circuit de contrôle des alimentations devient alors :

Fig. 1 : schéma de la machine à états (le même en grand)

J'ai pu tester ce circuit dans tous les sens. Il donne presque entièrement satisfaction. Tous les défauts sont bien détectés, les temporisations sont correctes pour les phases d'allumage et d'extinction. Ami lecteur, sauras-tu corriger ce circuit pour qu'il soit parfait ?

Aucun commentaire pour le moment


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Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /export/home/bertrand/web/blog/b2evolution/blogs/inc/_core/_param.funcs.php on line 1407

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Deprecated: explode(): Passing null to parameter #2 ($string) of type string is deprecated in /export/home/bertrand/web/blog/b2evolution/blogs/inc/_core/_misc.funcs.php on line 10542

Deprecated: strpos(): Passing null to parameter #1 ($haystack) of type string is deprecated in /export/home/bertrand/web/blog/b2evolution/blogs/inc/_core/_misc.funcs.php on line 10537

Deprecated: explode(): Passing null to parameter #2 ($string) of type string is deprecated in /export/home/bertrand/web/blog/b2evolution/blogs/inc/_core/_misc.funcs.php on line 10542


Formulaire en cours de chargement...


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