Function roots::find_root_regula_falsi
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[src]
pub fn find_root_regula_falsi<F: FloatType>(a: F, b: F, f: &Fn(F) -> F, convergency: &Convergency<F>) -> Result<F, SearchError>
Find a root of the function f(x) = 0 using the Illinois modification of the regula falsi method.
Pro
- Simple
- Robust
- No need for derivative function
Contra
- Slow
- Needs initial bracketing
Failures
NoBracketing
Initial values do not bracket the root.
NoConvergency
Algorithm cannot find a root within the given number of iterations.
Examples
use roots::SimpleConvergency; use roots::find_root_regula_falsi; let f = |x| { 1f64*x*x - 1f64 }; let convergency = SimpleConvergency { eps:1e-15f64, max_iter:30 }; let root1 = find_root_regula_falsi(10f64, 0f64, &f, &convergency); // Returns approximately Ok(1); let root2 = find_root_regula_falsi(-10f64, 0f64, &f, &convergency); // Returns approximately Ok(-1);