BUT2/Math/dichotomie.txt

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2023-10-12 16:39:49 +02:00
function [resultat] = memeSigne(a, b)
if ((a <= 0 && b <= 0) || (a >= 0 && b >= 0))
resultat = %T; // Utilisez %T pour représenter "true" en Scilab
else
resultat = %F; // Utilisez %F pour représenter "false" en Scilab
end
endfunction
function [x] = dichotomie(f, xa, xb, eps)
fraction = 2;
difference = xb - xa;
x = xa + difference / fraction;
y = f[1]*x^2 + f[2]*x + f[3];
ya = f[1]*xa^2 + f[2]*xa + f[3];
yb = f[1]*xb^2 + f[2]*xb + f[3];
while (y <= -eps || y >= eps)
fraction = fraction * 2;
if (memeSigne(ya, y))
if (memeSigne(yb, y))
endfunction
xa = x;
x = x + difference / fraction;
else
xb = x;
x = x - difference / fraction;
end
y = f[1]*x^2 + f[2]*x + f[3];
ya = f[1]*xa^2 + f[2]*xa + f[3];
end
// Assigner la valeur de x en sortie de la fonction
x_out = x;
endfunction