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Mathématique en ligne de commande

Pour des besoin personnel je me suis fait un petit script qui me gère les formule de mathématique et bien entendu avec la gestion des flottants. Je me suis aussi permis de rajouter quelque options pour faciliter certains calculs.

 

 

 

Aide:

~$ math
MATH version 0.4 by BeHuman
GNU/GPL v3
Usage:
    math [OPTION] [FORMULE or FILE] [SUBOPTION]
 
Options:
    -h          Help
    -hf         Help List BC Functions
    -pi         return PI
    -pwr        Power
    -sqrt       Square root
    -sin        Sine
    -cos        Consine
    -tan        Tangent
    -exp        Exponentiel
    -log        Logarithmique
    -bessel     fonction de Bessel
    -sec        Secant
    -csc        Cosecant
    -ctn        Cotangent
    -asin       Arc sine
    -acos       Arc consine
    -atan       Arc tangent
    -asec       Arc Secant
    -acsc       Arc Cosecant
    -actn       Arc Cotangent
    -newton     Newton (N=Kg*m/s²)
    -mass       Mass (Kg=N/9.81441)
    -lbm2kg     Livre to Kilogramme (Kg=lbm*0.45359237)
    -kg2lbm     Kilogramme to livre (lbm=Kg/0.45359237)
    -pascal     Pression Pascal (Pa=N/m²)
SubOptions:
    -s      Float scale (default 4)
 
Liste des opérations:
+ , - , *, / : addition, soustraction, multiplication, division
% : reste de la division entière
^ : puissance
 
Exemple:
    math "((2+2.5)*(5*64))/2"
        return 720.00
    math "x=(5/3)+((5%3)*2); x+10"
        return 11.70
    math "x=(5/3)+((5%3)*2); x+10" -s 5
        return 11.66670
    math "((2+2.5)*(5*64))/2" -s 4
        return 720.0000
    math "((2+2.5)*(5*64))/2" -s 0
        return 720
    math -pwr 2 3
        return 8 (2 puissance 3)
    math "pwr(2,3)"
        return 8 (2 puissance 3)
    math "2^3"
        return 8 (2 puissance 3)
    math -pi 
        return 3.1412
    math "pi()" 
        return 3.1412
    math "pi()" -s 15
        return 3.141592653589792
 

 

Fonctions intégré à BC:

~$ math -hf
/* force newton */
define newton (x,y) {
    return x*y;
}
 
/* pression pascal */
define pascal (x,y) {
    return x/y;
}
 
/* pi */
define pi () {
    return 4*a(1);
}
 
/* fonction de mass */
define mass (x) {
    return x/9.81441;
}
 
/* livre en kg */
define lbm2kg (x) {
    return x*0.45359237;
}
 
/* kg en livre */
define kg2lbm (x) {
    return x/0.45359237;
}
 
/* sinus */
define sin (x) {
    return s(x);
}
 
/* cosinus */
define cos (x) {
    return c(x);
}
 
/* tangent */
define tan (x) {
    return s(x)/c(x);
}
 
/* exponentiel */
define exp (x) {
    return e(x);
}
 
/* logarithme */
define log (x) {
    return l(x);
}
 
/* fonction de Bessel */
define bessel (n,y) {
    return j(n,y);
}
 
/* puissance */
define pwr (x,y) {
    return x^y;
}
 
/* secant */
define sec (x) {
    return 1/c(x);
}
 
/* cosecant */
define csc (x) {
    return 1/s(x);
}
 
/* cotangente */
define ctn (x) {
    return c(x)/s(x);
}
 
/* arc sinus */
define asin (x) {
    if (x==1)  return 90;
    if (x<1)  return a(sqrt((1/(1-(x^2)))-1))
    return -1
}
 
/* arc cosinus */
define acos (x) {
    if (x==0)return 90;
    if (x<=1)return a(sqrt((1/(x^2))-1))
    return -1
}
 
/* arc tangent */
define atan (x) {
    return a(x)
}
 
/* arc secant */
define asec (x) {
    return a(sqrt((x^2)-1))
}
 
/* arc cosecant */
define acsc (x) {
    return a(1/(sqrt(x^2)-1))
}
 
/* arc cotagent */
define actn (x) {
    return a(1/x)
}
 
/* calcul de factorielle n */
define fact(n) {
    auto i, r;
    r = 1;
    for (i=2; i<=n; i++) {
        r = r*i;
    }
    return (r);
}
 

Script bash:

#!/bin/bash
 
function _help () {
    echo "MATH version 0.4 by BeHuman
GNU/GPL v3
Usage:
    math [OPTION] [FORMULE or FILE] [SUBOPTION]
 
Options:
    -h          Help
    -hf         Help List BC Functions
    -pi         return PI
    -pwr        Power
    -sqrt       Square root
    -sin        Sine
    -cos        Consine
    -tan        Tangent
    -exp        Exponentiel
    -log        Logarithmique
    -bessel     fonction de Bessel
    -sec        Secant
    -csc        Cosecant
    -ctn        Cotangent
    -asin       Arc sine
    -acos       Arc consine
    -atan       Arc tangent
    -asec       Arc Secant
    -acsc       Arc Cosecant
    -actn       Arc Cotangent
    -newton     Newton (N=Kg*m/s²)
    -mass       Mass (Kg=N/9.81441)
    -lbm2kg     Livre to Kilogramme (Kg=lbm*0.45359237)
    -kg2lbm     Kilogramme to livre (lbm=Kg/0.45359237)
    -pascal     Pression Pascal (Pa=N/m²)
SubOptions:
    -s      Float scale (default 4)

Liste des opérations:
+ , - , *, / : addition, soustraction, multiplication, division
% : reste de la division entière
^ : puissance

Exemple:
    math \"((2+2.5)*(5*64))/2\"
        return 720.00
    math \"x=(5/3)+((5%3)*2); x+10\"
        return 11.70
    math \"x=(5/3)+((5%3)*2); x+10\" -s 5
        return 11.66670
    math \"((2+2.5)*(5*64))/2\" -s 4
        return 720.0000
    math \"((2+2.5)*(5*64))/2\" -s 0
        return 720
    math -pwr 2 3
        return 8 (2 puissance 3)
    math \"pwr(2,3)\"
        return 8 (2 puissance 3)
    math \"2^3\"
        return 8 (2 puissance 3)
    math -pi 
        return 3.1412
    math \"pi()\" 
        return 3.1412
    math \"pi()\" -s 15
        return 3.141592653589792"
}

function _helpf () {
    echo "$functionsBC"
}
 
#Others function
function pi () #PI
{
    echo "scale=$2; 4*a(1)" | bc -l
}

function pwr () #Power
{
    echo "scale=$3;$1^$2" | bc -l
}
 
function sqrt () #Square root
{
    echo "scale=$2;sqrt($1)" | bc -l
}
 
function newton () #Square root
{
    echo "scale=$3; $1*$2" | bc -l
}
 
function mass () #Square root
{
    echo "scale=$2; $1/9.81441" | bc -l
}
 
function lbm2kg () #Square root
{
    echo "scale=$2; $1*0.45359237" | bc -l
}
 
function kg2lbm () #Square root
{
    echo "scale=$2; $1/0.45359237" | bc -l
}
 
function pascal () #Square root
{
    echo "scale=$3; $1/$2" | bc -l
}
 
#Function trignometry
function sin () #Sine
{
    echo "scale=$2;s($1)" | bc -l
}
 
function cos () #Cosine
{
    echo "scale=$2;c($1)" | bc -l
}
 
function tan () #Tangent
{
    echo "scale=$2;s($1)/c($1)" | bc -l
}

function exp () #Exponentiel
{
    echo "scale=$2;j($1)" | bc -l
}

function log () #Logarithmique
{
    echo "scale=$2;l($1)" | bc -l
}

function bessel () #Bessel
{
    echo "scale=$3;l($1,$2)" | bc -l
}
 
function sec () #Secant
{
    echo "scale=$2;1/c($1)" | bc -l
}
 
function csc () #Cosecant
{
    echo "scale=$2;1/s($1)" | bc -l
}
 
function ctn () #Cotangent
{
    echo "scale=$2;c($1)/s($1)" | bc -l
}
 
function asin () #Arc Sine
{
    if (( $(echo "$1 == 1" | bc -l) ));then
       echo "90"   
    elif (( $(echo "$1 < 1" | bc -l) ));then
       echo "scale=$2;a(sqrt((1/(1-($1^2)))-1))" | bc -l
    elif (( $(echo "$1 > 1" | bc -l) ));then
       echo "error"
    fi
}
 
function acos () #Arc Cosine
{
    if (( $(echo "$1 == 0" | bc -l) ));then
       echo "90"
    elif (( $(echo "$1 <= 1" | bc -l) ));then
       echo "scale=$2;a(sqrt((1/($1^2))-1))" | bc -l
    elif (( $(echo "$1 > 1" | bc -l) ));then
       echo "error"
    fi
}
 
function atan () #Arc Tangent
{
    echo "scale=$2;a($1)" | bc -l
}
 
function asec () #Arc Secant
{
    echo "scale=$2;a(sqrt(($1^2)-1))" | bc -l
}
 
function acsc () #Arc Cosecant
{
    echo "scale=$2;a(1/(sqrt($1^2)-1))" | bc -l
}
 
function actn () #Arc Cotangent
{
    echo "scale=$2;a(1/$1)" | bc -l
}

functionsBC="/* force newton */
define newton (x,y) {
    return x*y;
}

/* pression pascal */
define pascal (x,y) {
    return x/y;
}

/* pi */
define pi () {
    return 4*a(1);
}

/* fonction de mass */
define mass (x) {
    return x/9.81441;
}

/* livre en kg */
define lbm2kg (x) {
    return x*0.45359237;
}

/* kg en livre */
define kg2lbm (x) {
    return x/0.45359237;
}

/* sinus */
define sin (x) {
    return s(x);
}

/* cosinus */
define cos (x) {
    return c(x);
}

/* tangent */
define tan (x) {
    return s(x)/c(x);
}

/* exponentiel */
define exp (x) {
    return e(x);
}

/* logarithme */
define log (x) {
    return l(x);
}

/* fonction de Bessel */
define bessel (n,y) {
    return j(n,y);
}

/* puissance */
define pwr (x,y) {
    return x^y;
}

/* secant */
define sec (x) {
    return 1/c(x);
}

/* cosecant */
define csc (x) {
    return 1/s(x);
}

/* cotangente */
define ctn (x) {
    return c(x)/s(x);
}

/* arc sinus */
define asin (x) {
    if (x==1)  return 90;
    if (x<1)  return a(sqrt((1/(1-(x^2)))-1))
    return -1
}

/* arc cosinus */
define acos (x) {
    if (x==0)return 90;
    if (x<=1)return a(sqrt((1/(x^2))-1))
    return -1
}

/* arc tangent */
define atan (x) {
    return a(x)
}

/* arc secant */
define asec (x) {
    return a(sqrt((x^2)-1))
}

/* arc cosecant */
define acsc (x) {
    return a(1/(sqrt(x^2)-1))
}

/* arc cotagent */
define actn (x) {
    return a(1/x)
}

/* calcul de factorielle n */
define fact(n) {
    auto i, r;
    r = 1;
    for (i=2; i<=n; i++) {
        r = r*i;
    }
    return (r);
}"

function openFileToCalculate() {
    f=""
    if [[ -f "$1" ]]; then
        while IFS=$'\n' read line; do
            f="$f
$line"
        done < "$1"
        #echo "$functionsBC scale=$2; $f"
        echo "$functionsBC scale=$2; $f" | bc -l
    else
        echo "$functionsBC scale=$2; $1"| bc -l
    fi
}

if [ "$1" == "-h" ];then
    _help
elif [ "$1" == "-hf" ];then
    _helpf
elif [ $# -ge 1 ]; then 
    if [ "$1" == "-pwr" ];then
        [[ "$4" == "-s" ]]&&s=$5||s=4
        pwr "$2" "$3" $s
    elif [ "$1" == "-exp" ];then
        [[ "$3" == "-s" ]]&&s=$4||s=4
        exp "$2" $s
    elif [ "$1" == "-log" ];then
        [[ "$3" == "-s" ]]&&s=$4||s=4
        log "$2" $s
    elif [ "$1" == "-bessel" ];then
        [[ "$4" == "-s" ]]&&s=$5||s=4
        bessel "$2" "$3" $s
    elif [ "$1" == "-pi" ];then
        [[ "$2" == "-s" ]]&&s=$3||s=4
        pi "$2" $s
    elif [ "$1" == "-sqrt" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        sqrt "$x" $s
    elif [ "$1" == "-sin" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        sin "$x" $s
    elif [ "$1" == "-cos" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        cos "$x" $s
    elif [ "$1" == "-tan" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        tan "$x" $s
    elif [ "$1" == "-sec" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        sec "$x" $s
    elif [ "$1" == "-csc" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        csc "$x" $s
    elif [ "$1" == "-ctn" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        ctn "$x" $s
    elif [ "$1" == "-asin" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        asin "$x" $s
    elif [ "$1" == "-acos" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        acos "$x" $s
    elif [ "$1" == "-atan" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        atan "$x" $s
    elif [ "$1" == "-asec" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        asec "$x" $s
    elif [ "$1" == "-acsc" ];then
        x=$2
        [[ "$3" == "-s" ]]&&s=$4||s=4
        acsc "$x" $s
    elif [ "$1" == "-actn" ];then
        [[ "$3" == "-s" ]]&&s=$4||s=4
        actn "$2" $s
    elif [ "$1" == "-newton" ];then
        [[ "$4" == "-s" ]]&&s=$5||s=4
        newton "$2" "$3" $s
    elif [ "$1" == "-mass" ];then
        [[ "$3" == "-s" ]]&&s=$4||s=4
        mass "$2" $s
    elif [ "$1" == "-lbm2kg" ];then
        [[ "$3" == "-s" ]]&&s=$4||s=4
        lbm2kg "$2" $s
    elif [ "$1" == "-kg2lbm" ];then
        [[ "$3" == "-s" ]]&&s=$4||s=4
        kg2lbm "$2" $s
    elif [ "$1" == "-pascal" ];then
        [[ "$4" == "-s" ]]&&s=$5||s=4
        pascal "$2" "$3" $s
    else
        [[ "$2" == "-s" ]]&&s=$3||s=4
        openFileToCalculate "$1" $s
    fi
else
    _help
fi

Une fois de plus, vous pourrez constater que le script en question est d'une simplicité déconcertante :-D

le truc important à retenir c'est ça:

 echo "scale=$s; $x" | bc -l

$s= nombre de chiffre après la virgule

$x= formule de math à calculer

voilà ++

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