... typical endingconfiguration for Brent’s method is that a and b are 2 × x × tolapart, with x (the best abscissa) at the midpoint of a and b, and therefore fractionallyaccurate to ±tol.Indulge us ... tol,float *xmin)Given a functionf, and given a bracketing triplet of abscissasax,bx,cx(such thatbxisbetweenax and cx ,and f(bx)is less than bothf(ax) and f(cx)), this routine isolatesthe ... the value alreadyevaluated only by an amount of order the roundofferror. Therefore in the code belowyou will find several tests and modifications of a potential new point, imposing thisrestriction....