diff options
Diffstat (limited to 'Master/texmf-dist')
| -rw-r--r-- | Master/texmf-dist/doc/latex/proflycee/ProfLycee-doc.pdf | bin | 1343842 -> 1363091 bytes | |||
| -rw-r--r-- | Master/texmf-dist/doc/latex/proflycee/ProfLycee-doc.tex | 4 | ||||
| -rw-r--r-- | Master/texmf-dist/doc/latex/proflycee/proflycee-docctan.zip | bin | 235319 -> 240630 bytes | |||
| -rw-r--r-- | Master/texmf-dist/tex/latex/proflycee/ProfLycee.sty | 3 | ||||
| -rw-r--r-- | Master/texmf-dist/tex/latex/proflycee/proflycee-tools-arithm.tex | 247 | ||||
| -rw-r--r-- | Master/texmf-dist/tex/latex/proflycee/proflycee-tools-listings.tex | 16 |
6 files changed, 267 insertions, 3 deletions
diff --git a/Master/texmf-dist/doc/latex/proflycee/ProfLycee-doc.pdf b/Master/texmf-dist/doc/latex/proflycee/ProfLycee-doc.pdf Binary files differindex eecd5f019c9..fead6a7bd70 100644 --- a/Master/texmf-dist/doc/latex/proflycee/ProfLycee-doc.pdf +++ b/Master/texmf-dist/doc/latex/proflycee/ProfLycee-doc.pdf diff --git a/Master/texmf-dist/doc/latex/proflycee/ProfLycee-doc.tex b/Master/texmf-dist/doc/latex/proflycee/ProfLycee-doc.tex index a63b5904594..1d3a8ea3c42 100644 --- a/Master/texmf-dist/doc/latex/proflycee/ProfLycee-doc.tex +++ b/Master/texmf-dist/doc/latex/proflycee/ProfLycee-doc.tex @@ -5,8 +5,8 @@ % arara: lualatex: {shell: yes, synctex: no, interaction: batchmode} if found('log', '(undefined references|Please rerun|Rerun to get)') \documentclass[a4paper,french,11pt]{article} -\def\PLversion{3.00b} -\def\PLdate{25 octobre 2023} +\def\PLversion{3.00c} +\def\PLdate{27 octobre 2023} \usepackage{amsfonts} \usepackage{ProfLycee} \useproflyclib{piton,minted,pythontex,ecritures} diff --git a/Master/texmf-dist/doc/latex/proflycee/proflycee-docctan.zip b/Master/texmf-dist/doc/latex/proflycee/proflycee-docctan.zip Binary files differindex ed9db64f63b..8aea09bb3c6 100644 --- a/Master/texmf-dist/doc/latex/proflycee/proflycee-docctan.zip +++ b/Master/texmf-dist/doc/latex/proflycee/proflycee-docctan.zip diff --git a/Master/texmf-dist/tex/latex/proflycee/ProfLycee.sty b/Master/texmf-dist/tex/latex/proflycee/ProfLycee.sty index e31dc6dca41..8a2c6fe8121 100644 --- a/Master/texmf-dist/tex/latex/proflycee/ProfLycee.sty +++ b/Master/texmf-dist/tex/latex/proflycee/ProfLycee.sty @@ -3,7 +3,8 @@ % or later, see http://www.latex-project.org/lppl.txtf \NeedsTeXFormat{LaTeX2e} -\ProvidesPackage{ProfLycee}[2023/10/25 3.00b Aide pour l'utilisation de LaTeX en lycee] +\ProvidesPackage{ProfLycee}[2023/10/27 3.00c Aide pour l'utilisation de LaTeX en lycee] +% 3.00c Ajout de chiffrements (César + Affine + Hill) % 3.00b Amélioration de la commande des intervalles (spécifier un label pour les bornes) % 3.00a Ajout de commandes pour travailler avex des intervalles + Nouvelle numérotation % 2.8.0 Amélioration du tapis de Sierpinski diff --git a/Master/texmf-dist/tex/latex/proflycee/proflycee-tools-arithm.tex b/Master/texmf-dist/tex/latex/proflycee/proflycee-tools-arithm.tex index 0085e0ee981..fcff96116f7 100644 --- a/Master/texmf-dist/tex/latex/proflycee/proflycee-tools-arithm.tex +++ b/Master/texmf-dist/tex/latex/proflycee/proflycee-tools-arithm.tex @@ -672,4 +672,251 @@ } }% +%====CHIFFREMENTS !! +\xdef\aLPHaBeTMajusc{ABCDEFGHIJKLMNOPQRSTUVWXYZ} +\xdef\aLPHaBeTminusc{abcdefghijklmnopqrstuvwxyz} + +\NewDocumentCommand\InverseModulo{ s m m }{% + \xdef\PGCDD{\xinteval{gcd(#2,#3)}}% + \xdef\resinvmod{#2{} n'est pas inversible modulo #3.} + \xintFor* ##1 in {\xintSeq{1}{#3}}\do{\xintifboolexpr{\xintiiRem{\xinteval{#2*##1}}{#3} == 1}{\xdef\resinvmod{##1}}{}}% + \IfBooleanTF{#1}% + {% + On a $\text{PGCD}(#2;#3)=\num{\PGCDD}$.~% + \xintifboolexpr{\PGCDD != 1}% + {Le PGCD étant différent de 1, on en déduit que #2 n'est pas inversible modulo #3.\relax}% + {Le PGCD étant égal à 1, on en déduit que #2 admet un inverse modulo #3.\\De plus on a $#2 \times \resinvmod = \xinteval{#2*\resinvmod} \equiv \xintiirem{\xinteval{#2*\resinvmod}}{#3}\:[#3]$, donc \resinvmod\ est l'inverse de #2 modulo #3.\relax}% + }% + {}% +} + +\defKV[chiffaffine]{a=\xdef\tmpcoeffa{#1},b=\xdef\tmpcoeffb{#1},modulo=\xdef\tmpmodulo{#1}} +\setKVdefault[chiffaffine]{a=3,b=12,Dechiffr=false,modulo=26} + +\NewDocumentCommand\ChiffrementAffine{ O{} m }{% + \restoreKV[chiffaffine]% + \setKV[chiffaffine]{#1}% + %pgcd stocké + \xdef\PGCDD{\xinteval{gcd(\tmpcoeffa,\tmpmodulo)}}% + \StrLen{#2}[\tmpnbcaract]% + \ifboolKV[chiffaffine]{Dechiffr}% + {% + \xdef\resinvmod{0}% + \xintFor* ##1 in {\xintSeq{1}{\tmpmodulo}}\do{ + \xintifboolexpr{\xintiiRem{\xinteval{(\tmpcoeffa)*(##1)}}{\tmpmodulo} == 1}% + {\xdef\resinvmod{##1}}{}% + }% + }{}% + \foreach \i in {1,...,\tmpnbcaract}{% + \StrChar{#2}{\i}[\tmpchar]% + \IfStrEq{\tmpchar}{ }% + {~}% + {% + %majuscule minuscule + \IfSubStr{\aLPHaBeTMajusc}{\tmpchar}% + {% + \StrPosition{\aLPHaBeTMajusc}{\tmpchar}[\tmpcoeffx]% + }% + {% + \StrPosition{\aLPHaBeTminusc}{\tmpchar}[\tmpcoeffx]% + }% + \xdef\tmpcoeffx{\xinteval{\tmpcoeffx-1}}% + \ifboolKV[chiffaffine]{Dechiffr}% + {% + \xintifboolexpr{\PGCDD == 1}% + {% + \xdef\tmpres{\xintiiRem{\xinteval{(\resinvmod)*(\tmpcoeffx)-(\resinvmod)*(\tmpcoeffb)}}{\tmpmodulo}}% + \xdef\tmpres{\xinteval{\tmpres+1}}% + \IfSubStr{\aLPHaBeTMajusc}{\tmpchar}% + {% + \StrChar{\aLPHaBeTMajusc}{\tmpres}% + }% + {% + \StrChar{\aLPHaBeTminusc}{\tmpres}% + }% + }% + {}% + }% + {% + \xdef\tmpres{\xintiiRem{\xinteval{\tmpcoeffa*\tmpcoeffx+\tmpcoeffb}}{\tmpmodulo}}% + \xdef\tmpres{\xinteval{\tmpres+1}}% + \IfSubStr{\aLPHaBeTMajusc}{\tmpchar}% + {% + \StrChar{\aLPHaBeTMajusc}{\tmpres}% + }% + {% + \StrChar{\aLPHaBeTminusc}{\tmpres}% + }% + }% + }% + }% + \ifboolKV[chiffaffine]{Dechiffr}% + {\xintifboolexpr{\PGCDD != 1}{Le message ne peut pas être déchiffré car $\text{PGCD}(\tmpcoeffa;\tmpmodulo)\neq1$ !\relax}{}}% + {}% +} + +\defKV[chiffhill]{Matrice=\xdef\tmpcoeffmat{#1},Modulo=\xdef\tmpmodulo{#1}} +\setKVdefault[chiffhill]{Matrice={1,2,3,5},Dechiffr=false,modulo=26} + +\NewDocumentCommand\ChiffrementHill{ O{} m }{% + \restoreKV[chiffhill]% + \setKV[chiffhill]{#1}% + %passage de la châine en nb pair + \StrLen{#2}[\tmpnbcar]% + \xintifboolexpr{\xintiirem{\tmpnbcar}{2} == 1}{\xdef\tmpchaine{#2A}}{\xdef\tmpchaine{#2}}% + \StrLen{\tmpchaine}[\tmpnbblocs]% + \xdef\tmpnbblocs{\xintieval{\tmpnbblocs/2}}% + %extraction des coeffs de la matrice + déterminant + \readlist*\coeffmathill{\tmpcoeffmat}% + \itemtomacro\coeffmathill[1]{\tmpcoeffa}% + \itemtomacro\coeffmathill[2]{\tmpcoeffb}% + \itemtomacro\coeffmathill[3]{\tmpcoeffc}% + \itemtomacro\coeffmathill[4]{\tmpcoeffd}% + \xdef\detmathill{\xintieval{(\tmpcoeffa)*(\tmpcoeffd)-(\tmpcoeffb)*(\tmpcoeffc)}}% + %chiffrement / déchiffrement + \ifboolKV[chiffhill]{Dechiffr}% + {% + %le cas où la matrice n'est pas inversible + \xintifboolexpr{\detmathill == 0}% + {% + La matrice $\begin{pmatrix} \tmpcoeffa & \tmpcoeffb \\ \tmpcoeffc & \tmpcoeffd \end{pmatrix}$ n'est pas inversible, donc pas de déchiffrement possible !\relax + }% + {% + %inversibilité du déterminant + \xdef\resinvmod{0}% + \xintFor* ##1 in {\xintSeq{1}{\tmpmodulo}}\do{% + \xintifboolexpr{\xintiiRem{\xinteval{(\detmathill)*(##1)}}{\tmpmodulo} == 1}% + {\xdef\resinvmod{##1}}{}% + }% + \xintifboolexpr{\resinvmod == 0}%si det non inversible modulo + {% + Le déterminant de la matrice $\begin{pmatrix} \tmpcoeffa & \tmpcoeffb \\ \tmpcoeffc & \tmpcoeffd \end{pmatrix}$ (qui vaut $\detmathill$) n'est pas inversible modulo \tmpmodulo, donc pas de déchiffrement !\relax + }% + {% + %on peut déchiffrer !! + \foreach \i in {1,...,\tmpnbblocs}{% + \xdef\tmpindicea{\xintieval{2*(\i-1)+1}}\xdef\tmpindiceb{\xintieval{2*(\i)}}% + \StrChar{\tmpchaine}{\tmpindicea}[\tmpchara]% + \IfSubStr{\aLPHaBeTMajusc}{\tmpchara}% + {% + \StrPosition{\aLPHaBeTMajusc}{\tmpchara}[\tmpcoeffx]% + }% + {% + \StrPosition{\aLPHaBeTminusc}{\tmpchara}[\tmpcoeffx]% + }% + \xdef\tmpcoeffx{\xintieval{\tmpcoeffx-1}}% + \StrChar{\tmpchaine}{\tmpindiceb}[\tmpcharb]% + \IfSubStr{\aLPHaBeTMajusc}{\tmpcharb}% + {% + \StrPosition{\aLPHaBeTMajusc}{\tmpcharb}[\tmpcoeffy]% + }% + {% + \StrPosition{\aLPHaBeTminusc}{\tmpcharb}[\tmpcoeffy]% + }% + \xdef\tmpcoeffy{\xintieval{\tmpcoeffy-1}}% + %1ère lettre + \xdef\tmpresa{\xintiiRem{\xintieval{(\resinvmod)*(\tmpcoeffd)*(\tmpcoeffx)-(\resinvmod)*(\tmpcoeffb)*(\tmpcoeffy)}}{\tmpmodulo}}% + \xdef\tmpresa{\xinteval{\tmpresa+1}}% + %2ème lettre + \xdef\tmpresb{\xintiiRem{\xintieval{-(\resinvmod)*(\tmpcoeffc)*(\tmpcoeffx)+(\resinvmod)*(\tmpcoeffa)*(\tmpcoeffy)}}{\tmpmodulo}}% + \xdef\tmpresb{\xinteval{\tmpresb+1}}% + %affichage des deux caractères + \IfSubStr{\aLPHaBeTMajusc}{\tmpchara}% + {% + \StrChar{\aLPHaBeTMajusc}{\tmpresa}% + }% + {% + \StrChar{\aLPHaBeTminusc}{\tmpresa}% + }% + \IfSubStr{\aLPHaBeTMajusc}{\tmpcharb}% + {% + \StrChar{\aLPHaBeTMajusc}{\tmpresb}% + }% + {% + \StrChar{\aLPHaBeTminusc}{\tmpresb}% + }% + }% + }% + }% + }% + {% + \foreach \i in {1,...,\tmpnbblocs}{% + \xdef\tmpindicea{\xintieval{2*(\i-1)+1}}\xdef\tmpindiceb{\xintieval{2*(\i)}}% + \StrChar{\tmpchaine}{\tmpindicea}[\tmpchara]% + \IfSubStr{\aLPHaBeTMajusc}{\tmpchara}% + {% + \StrPosition{\aLPHaBeTMajusc}{\tmpchara}[\tmpcoeffx]% + }% + {% + \StrPosition{\aLPHaBeTminusc}{\tmpchara}[\tmpcoeffx]% + }% + \xdef\tmpcoeffx{\xintieval{\tmpcoeffx-1}}% + \StrChar{\tmpchaine}{\tmpindiceb}[\tmpcharb]% + \IfSubStr{\aLPHaBeTMajusc}{\tmpcharb}% + {% + \StrPosition{\aLPHaBeTMajusc}{\tmpcharb}[\tmpcoeffy]% + }% + {% + \StrPosition{\aLPHaBeTminusc}{\tmpcharb}[\tmpcoeffy]% + }% + \xdef\tmpcoeffy{\xintieval{\tmpcoeffy-1}}% + %1ère lettre + \xdef\tmpresa{\xintiiRem{\xintieval{(\tmpcoeffa)*(\tmpcoeffx)+(\tmpcoeffb)*(\tmpcoeffy)}}{\tmpmodulo}}% + \xdef\tmpresa{\xinteval{\tmpresa+1}}% + %2ème lettre + \xdef\tmpresb{\xintiiRem{\xintieval{(\tmpcoeffc)*(\tmpcoeffx)+(\tmpcoeffd)*(\tmpcoeffy)}}{\tmpmodulo}}% + \xdef\tmpresb{\xinteval{\tmpresb+1}}% + %affichage des deux caractères + \IfSubStr{\aLPHaBeTMajusc}{\tmpchara}% + {% + \StrChar{\aLPHaBeTMajusc}{\tmpresa}% + }% + {% + \StrChar{\aLPHaBeTminusc}{\tmpresa}% + }% + \IfSubStr{\aLPHaBeTMajusc}{\tmpcharb}% + {% + \StrChar{\aLPHaBeTMajusc}{\tmpresb}% + }% + {% + \StrChar{\aLPHaBeTminusc}{\tmpresb}% + }% + }% + }% +} + +\defKV[chiffcesar]{Decal=\xdef\tmpdecalcesar{#1}} +\setKVdefault[chiffcesar]{Decal=5,Dechiffr=false} + +\NewDocumentCommand\ChiffrementCesar{ O{} m }{% + \restoreKV[chiffcesar]% + \setKV[chiffcesar]{#1}% + \StrLen{#2}[\tmpnbcaract]% + \foreach \i in {1,...,\tmpnbcaract}{% + \StrChar{#2}{\i}[\tmpchar]% + %majuscule minuscule + \IfStrEq{\tmpchar}{ }% + {~}% + {% + \IfSubStr{\aLPHaBeTMajusc}{\tmpchar}% + {% + \StrPosition{\aLPHaBeTMajusc}{\tmpchar}[\tmpcoeffx]% + }% + {% + \StrPosition{\aLPHaBeTminusc}{\tmpchar}[\tmpcoeffx]% + }% + \ifboolKV[chiffcesar]{Dechiffr}% + {\xdef\tmpcoeffx{\xintiirem{\xinteval{\tmpcoeffx-\tmpdecalcesar}}{26}}}% + {\xdef\tmpcoeffx{\xintiirem{\xinteval{\tmpcoeffx+\tmpdecalcesar}}{26}}}% + \IfSubStr{\aLPHaBeTMajusc}{\tmpchar}% + {% + \StrChar{\aLPHaBeTMajusc}{\tmpcoeffx}% + }% + {% + \StrChar{\aLPHaBeTminusc}{\tmpcoeffx}% + }% + }% + }% +} + \endinput
\ No newline at end of file diff --git a/Master/texmf-dist/tex/latex/proflycee/proflycee-tools-listings.tex b/Master/texmf-dist/tex/latex/proflycee/proflycee-tools-listings.tex index 5f094083fa0..280970d88cd 100644 --- a/Master/texmf-dist/tex/latex/proflycee/proflycee-tools-listings.tex +++ b/Master/texmf-dist/tex/latex/proflycee/proflycee-tools-listings.tex @@ -551,6 +551,22 @@ % } %%------PRESENTATIONDECODES CLASSIQUES +\tcbset{stylecodetex/.style={% + enhanced,boxrule=0.75pt,colframe=teal!50!black,% + sharp corners,top=1mm,bottom=1mm,left=1mm,right=1mm,middle=1mm,% + before skip=0.5\baselineskip,after skip=0.5\baselineskip,% + skin=bicolor,colback=teal!10,colbacklower=white, + fontupper=\footnotesize,fontlower=\footnotesize,% + listing engine=listings,% + %watermark text={\faCode},watermark opacity=0.25,watermark zoom=0.50,% + title={{\scriptsize\faCode} Code \LaTeX}, + lefttitle=1mm, + fonttitle=\bfseries\footnotesize\sffamily,colbacktitle=teal!75!black + } +} + +\NewTCBListing{PresCodeLaTeX}{ m }{stylecodetex,listing options={style=tcblatex,basicstyle=\footnotesize\ttfamily,keywordstyle=\bfseries\color{blue},tabsize=2},#1} + \NewTCBListing{PresentationCode}{ O{CouleurVertForet} m }{% sharp corners=downhill,enhanced,arc=12pt,skin=bicolor,% colback=#1!5!white,colframe=#1!75!black,colbacklower=white,% |