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yutiansut / Peroxide

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mod.rs 3.61 KB
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//! Do not disturbed. Just use.
//!
//! # Philosophy
//!
//! For complicated computations like as physics, statistics and etc, too many options of library disturbes theory.
//! Many computations where numerical algorithms are not very critical do not require many options.
//! L2 norm is enough, and what integration algorithms you use is not important.
//! `prelude` makes you free.
//!
//! # Usage
//!
//! ```ignore
//! #[macro_use]
//! extern crate peroxide;
//! use peroxide::prelude::*;
//!
//! // Then you can use almost everything in peroxide.
//! ```
//!
//! # Compare with `fuga`
//!
//! * Norm
//! ```
//! #[macro_use]
//! extern crate peroxide;
//! use peroxide::prelude::*;
//!
//! fn main() {
//! let a = c!(1, 2, 3);
//! let l2 = a.norm(); // L2 is default vector norm
//!
//! assert_eq!(l2, 14f64.sqrt());
//! }
//! ```
//!
//! ```
//! #[macro_use]
//! extern crate peroxide;
//! use peroxide::fuga::*;
//!
//! fn main() {
//! let a = c!(1, 2, 3);
//! let l2 = a.norm(Norm::L2);
//! assert_eq!(l2, 14f64.sqrt());
//! }
//! ```
//!
//! * Numerical integration
//!
//! ```
//! #[macro_use]
//! extern crate peroxide;
//! use peroxide::prelude::*;
//! use std::f64::consts::PI;
//!
//! fn main() {
//! let sin = |x: f64| x.sin();
//! integrate(sin, (0f64, PI)).print();
//! // Default integration = G7K15(1e-15)
//! }
//! ```
//!
//! ```
//! #[macro_use]
//! extern crate peroxide;
//! use peroxide::fuga::*;
//! use std::f64::consts::PI;
//!
//! fn main() {
//! let sin = |x: f64| x.sin();
//! integrate(sin, (0f64, PI), G7K15(1e-15)).print();
//! }
//! ```
//!
//! * Solve
//!
//! ```
//! #[macro_use]
//! extern crate peroxide;
//! use peroxide::fuga::*;
//!
//! fn main() {
//! let a = ml_matrix("1 2;3 4");
//! let b = c!(3, 7);
//! a.solve(&b, LU).print(); // [1, 1]
//! a.solve(&b, WAZ).print(); // [1, 1]
//! }
//! ```
//!
//! ```
//! #[macro_use]
//! extern crate peroxide;
//! use peroxide::prelude::*;
//!
//! fn main() {
//! let a = ml_matrix("1 2;3 4");
//! let b = c!(3, 7);
//! // Prelude can only solve with LU
//! a.solve(&b).print(); // [1, 1]
//! }
//! ```
#[allow(unused_imports)]
pub use crate::macros::{julia_macro::*, matlab_macro::*, r_macro::*};
pub use peroxide_ad::{ad_function, ad_closure};
pub mod simpler;
pub use crate::traits::{
fp::{FPMatrix, FPVector},
general::Algorithm,
math::{InnerProduct, LinearOp, MatrixProduct, Vector, VectorProduct},
mutable::{MutFP, MutMatrix},
num::{ExpLogOps, PowOps, Real, TrigOps},
pointer::{MatrixPtr, Oxide, Redox, RedoxCommon},
sugar::{Scalable, ScalableMut, VecOps, ConvToMat},
};
pub use simpler::SimpleNorm;
#[allow(unused_imports)]
pub use crate::structure::{
ad::*,
ad::AD::*,
matrix::{
combine, diag, gemm, gemv, gen_householder, inv_l, inv_u, matrix, ml_matrix, py_matrix,
r_matrix, Col, Matrix, Row, Shape, PQLU, QR, WAZD,
},
polynomial::{Polynomial,poly,Calculus,lagrange_polynomial,legendre_polynomial},
vector::*,
dataframe::*,
//complex::C64,
};
pub use simpler::{solve, SimplerLinearAlgebra};
#[allow(unused_imports)]
pub use crate::util::{api::*, low_level::*, non_macro::*, print::*, useful::*, wrapper::*};
#[allow(unused_imports)]
pub use crate::statistics::{dist::*, ops::*, rand::*, stat::*};
#[allow(unused_imports)]
pub use crate::special::function::*;
#[allow(unused_imports)]
pub use crate::numerical::{
eigen::Eigen,
interp::*,
ode::*,
optimize::*,
root::{bisection, false_position, newton, secant},
spline::*,
utils::*,
};
pub use simpler::{eigen, integrate, chebyshev_polynomial};
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Peroxide
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