Module fuga

Expand description

Choose what you want.

§Philosophy

Numerical algorithms are neglected in many codes. However, it is very important which algorithm is used for precise research and important numerical computation. fuga is the best for you.

§Usage

#[macro_use]
extern crate peroxide;
use peroxide::fuga::*;

// Then you can use everything in peroxide.

§Compare with `prelude`

Norm

#[macro_use]
extern crate peroxide;
use peroxide::fuga::*;

fn main() {
    let a = c!(1, 2, 3);
    let l1 = a.norm(Norm::L1);
    let l2 = a.norm(Norm::L2);
    let l_inf = a.norm(Norm::LInf);

    assert_eq!(l1, 6f64);
    assert_eq!(l2, 14f64.sqrt());
    assert_eq!(l_inf, 3f64);
}

#[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
    // prelude can't compute l1 norm, l_inf norm
    assert_eq!(l2, 14f64.sqrt());
}

Numerical integration

#[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), GaussLegendre(15)).print();
}

#[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 = GaussLegendre(15)
}

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]
}

DataFrame with Parquet

extern crate peroxide;
use peroxide::fuga::*;

fn main() {
    let x = seq(0, 1, 0.1);
    let y = x.fmap(|t| t.powi(2));

    let mut df = DataFrame::new(vec![]);
    df.push("x", Series::new(x));
    df.push("y", Series::new(y));

    df.print();

    df.write_parquet("example_data/test.parquet", CompressionOptions::Uncompressed).unwrap();
}

extern crate peroxide;
use peroxide::prelude::*;

fn main() {
    let x = seq(0, 1, 0.1);
    let y = x.fmap(|t| t.powi(2));

    let mut df = DataFrame::new(vec![]);
    df.push("x", Series::new(x));
    df.push("y", Series::new(y));

    df.print();

    df.write_parquet("example_data/test.parquet").unwrap();
}

Re-exports§

pub use crate::traits::fp::FPMatrix;
pub use crate::traits::fp::FPVector;
pub use crate::traits::general::Algorithm;
pub use crate::traits::math::InnerProduct;
pub use crate::traits::math::LinearOp;
pub use crate::traits::math::MatrixProduct;
pub use crate::traits::math::Norm;
pub use crate::traits::math::Normed;
pub use crate::traits::math::Vector;
pub use crate::traits::math::VectorProduct;
pub use crate::traits::matrix::LinearAlgebra;
pub use crate::traits::matrix::MatrixTrait;
pub use crate::traits::mutable::MutFP;
pub use crate::traits::mutable::MutMatrix;
pub use crate::traits::num::Real;
pub use crate::traits::pointer::MatrixPtr;
pub use crate::traits::pointer::Oxide;
pub use crate::traits::pointer::Redox;
pub use crate::traits::pointer::RedoxCommon;
pub use crate::traits::stable::StableFn;
pub use crate::traits::sugar::ConvToMat;
pub use crate::traits::sugar::Scalable;
pub use crate::traits::sugar::ScalableMut;
pub use crate::traits::sugar::VecOps;
pub use crate::traits::fp::ParallelFPMatrix;
pub use crate::traits::fp::ParallelFPVector;
pub use crate::traits::math::ParallelInnerProduct;
pub use crate::traits::math::ParallelMatrixProduct;
pub use crate::traits::math::ParallelNormed;
pub use crate::traits::math::ParallelVector;
pub use crate::traits::math::ParallelVectorProduct;
pub use crate::traits::mutable::ParallelMutFP;
pub use crate::complex::C64;
pub use crate::numerical::integral::Integral::GaussLegendre;
pub use crate::numerical::integral::Integral::NewtonCotes;
pub use crate::numerical::integral::Integral::G10K21;
pub use crate::numerical::integral::Integral::G10K21R;
pub use crate::numerical::integral::Integral::G15K31;
pub use crate::numerical::integral::Integral::G15K31R;
pub use crate::numerical::integral::Integral::G20K41;
pub use crate::numerical::integral::Integral::G20K41R;
pub use crate::numerical::integral::Integral::G25K51;
pub use crate::numerical::integral::Integral::G25K51R;
pub use crate::numerical::integral::Integral::G30K61;
pub use crate::numerical::integral::Integral::G30K61R;
pub use crate::numerical::integral::Integral::G7K15;
pub use crate::numerical::integral::Integral::G7K15R;
pub use crate::numerical::spline::SlopeMethod::Akima;
pub use crate::numerical::spline::SlopeMethod::Quadratic;
pub use crate::statistics::stat::QType::Type1;
pub use crate::statistics::stat::QType::Type2;
pub use crate::statistics::stat::QType::Type3;
pub use crate::statistics::stat::QType::Type4;
pub use crate::statistics::stat::QType::Type5;
pub use crate::statistics::stat::QType::Type6;
pub use crate::statistics::stat::QType::Type7;
pub use crate::statistics::stat::QType::Type8;
pub use crate::statistics::stat::QType::Type9;
pub use crate::traits::matrix::UPLO::Lower;
pub use crate::traits::matrix::UPLO::Upper;
pub use crate::traits::matrix::Form::Diagonal;
pub use crate::traits::matrix::Form::Identity;
pub use crate::traits::matrix::SolveKind::LU;
pub use crate::traits::matrix::SolveKind::WAZ;
pub use anyhow;
pub use paste;
pub use crate::macros::julia_macro::*;
pub use crate::macros::matlab_macro::*;
pub use crate::macros::r_macro::*;
pub use crate::complex::integral::*;
pub use crate::complex::matrix::*;
pub use crate::complex::vector::*;
pub use crate::structure::ad::*;
pub use crate::structure::dataframe::*;
pub use crate::structure::matrix::*;
pub use crate::structure::polynomial::*;
pub use crate::structure::vector::*;
pub use crate::util::api::*;
pub use crate::util::low_level::*;
pub use crate::util::non_macro::*;
pub use crate::util::print::*;
pub use crate::util::useful::*;
pub use crate::util::wrapper::*;
pub use crate::statistics::dist::*;
pub use crate::statistics::ops::*;
pub use crate::statistics::rand::*;
pub use crate::statistics::stat::*;
pub use crate::special::function::*;
pub use crate::numerical::eigen::*;
pub use crate::numerical::integral::*;
pub use crate::numerical::interp::*;
pub use crate::numerical::ode::*;
pub use crate::numerical::optimize::*;
pub use crate::numerical::root::*;
pub use crate::numerical::spline::*;
pub use crate::numerical::utils::*;
pub use crate::ml::reg::*;
pub use crate::util::plot::*;
pub use crate::statistics::stat::Metric::*;
pub use crate::structure::ad::AD::*;
pub use crate::structure::dataframe::DType::*;

Macros§

ad_closure

Structs§

SmallRng: A small-state, fast, non-crypto, non-portable PRNG
StdRng: A strong, fast (amortized), non-portable RNG
ThreadRng: A reference to the thread-local generator

Enums§

CompressionOptions: Defines the compression settings for writing a parquet file.

Traits§

CryptoRng: A marker trait over RngCore for securely unpredictable RNGs
Distribution: Types (distributions) that can be used to create a random instance of T.
ExpLogOps
IndexedMutRandom: Extension trait on indexable lists, providing random sampling methods.
IndexedRandom: Extension trait on indexable lists, providing random sampling methods.
IteratorRandom: Extension trait on iterators, providing random sampling methods.
PowOps
Rng: User-level interface for RNGs
RngCore: Implementation-level interface for RNGs
SeedableRng: A random number generator that can be explicitly seeded.
SliceRandom: Extension trait on slices, providing shuffling methods.
TrigOps

Attribute Macros§

ad_function

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