Module peroxide::structure::dual

Dual number system for Automatic differentiation

Dual number system

• Dual is structure for AD

  • value(&self) -> f64 : Value
  • slope(&self) -> f64 : Slope (value of derivatives)
  • extract(&self) -> (f64,f64) : Extract both

• Constructor for Dual

  • Dual::new(T, T)
  • dual(T, T)

• Implemented Operations (Real trait is implemented)

  • Add, Sub, Mul, Div
  • sin, cos, tan
  • asin, acos, atan
  • sinh, cosh, tanh
  • asinh, acosh, atanh
  • sin_cos
  • exp, ln, log, log2, log10
  • powi, powf, sqrt

  extern crate peroxide;
  use peroxide::*;
  
  fn main() {
      let x = dual(1, 1); // x at x = 1
      (x.clone() + x.clone()).print(); // dual(2, 2)
      (x.clone() - x.clone()).print(); // dual(0, 0)
      (x.clone() * x.clone()).print(); // dual(1, 2)
      (x.clone() / x.clone()).print(); // dual(1, 0)
      x.sin().print();
      x.cos().print();
      x.exp().print();
      x.ln().print();
      x.powi(2).print(); // same as x * x
  }

  • After ver 0.10.1, you can use reference operations

  extern crate peroxide;
  use peroxide::*;
  
  fn main() {
      let x = dual(1,1);
      (&x + &x).print();
      (&x - &x).print();
      // and etc.
  }

Structs

Dual	Dual - Structure for AD

Traits

Dualist
VecWithDual	Convert Vector <=> Dual

Functions

dual
merge_dual