Calculus (Derivative:Tangent). v04
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/* f.h freeware [[Email Removed]] */
/* ------------------------------------- FUNCTION -------------------------- */
/* Do : */
/* */
/* -------------------------------------------------------------------------- */
double trapezoid(
double (*P_f)(double x),
double a,
double b,
int n
)
{
int i = 0;
double m = 0.;
double M = 0.;
for(i = 0; i <= n; i++)
{
if(i ==0 || i== n){m = 1.;}
else {m = 2.;}
M += m * (*P_f)(a + i*(b-a)/n);
}
return( ((b -a)*M) / (2*n) );
}
/* ------------------------------------- FUNCTION -------------------------- */
/* Do : */
/* */
/* -------------------------------------------------------------------------- */
double simpson(
double (*P_f)(double x),
double a,
double b,
int n
)
{
int i = 0;
double m = 0.;
double M = 0.;
for(i = 0; i <= n; i++)
{
if(i ==0 || i== n){m = 1.;}
else if(fmod(i,2) == 0){m = 2.;}
else {m = 4.;}
M += m * (*P_f)(a + i*(b-a)/n);
}
return( ((b -a)*M) / (3*n) );
}
