//! Simple FFT library written purely in Rust. Requires a Nightly Rust compiler for x86 intrinsics.
//!
//! ![](docs/benchmark.jpg)
//!
//! # Features
//!
//!  - Features moderately optimized FFT kernels for small, power-of-two,
//!    single precision transforms.
//!  - Supports real-to-complex and complex-to-real transforms.
//!  - Clients can opt in to a swizzled input/output data order when they don't
//!    need naturally-ordered data.
//!
//! # Limitations
//!
//! This library was written in 2017 for internal use (specifically, real-time
//! game audio processing) and is not actively maintained anymore. For this
//! reason, this library has the following important limitations:
//!
//!  - It's only optimized for small, power-of-two, single precision transforms.
//!    It may work for other sizes, but it will use extremely slow code paths.
//!  - It only supports 1D transforms.
//!  - It does not support detecting processor features at runtime.
//!  - The implementation relies on **a plenty of unsafe Rust code**.
//!    Use at your own risk!
//!
//! # Notes Regarding Compilation
//!
//! As of the version 1.19.0 cargo doesn't support passing codegen flags to rustc. Because of this,
//! you need to pass the following flags via the `RUSTFLAGS` environment variable to enable AVX kernel:
//!
//! ```sh
//! export RUSTFLAGS='-Ctarget-feature=+avx,+sse3'
//! ```
//!
//! Note: this causes codegen to generate VEX prefixes to all SSE instructions and makes the binary
//! incompatible with processors without AVX support.
//!
//! # Example: Round-trip Conversion
//!
//! ```
//! use yfft::{Setup, Options, DataOrder, DataFormat, Env};
//!
//! let size = 128;
//!
//! let setup1: Setup<f32> = Setup::new(&Options {
//!     input_data_order: DataOrder::Natural,
//!     output_data_order: DataOrder::Swizzled,
//!     input_data_format: DataFormat::Complex,
//!     output_data_format: DataFormat::Complex,
//!     len: size,
//!     inverse: false,
//! })
//! .unwrap();
//! let setup2: Setup<f32> = Setup::new(&Options {
//!     input_data_order: DataOrder::Swizzled,
//!     output_data_order: DataOrder::Natural,
//!     input_data_format: DataFormat::Complex,
//!     output_data_format: DataFormat::Complex,
//!     len: size,
//!     inverse: true,
//! })
//! .unwrap();
//!
//! // Allocate temporary buffers
//! let mut env1 = Env::new(&setup1);
//! let mut env2 = Env::new(&setup2);
//!
//! // Input data (interleaved complex format)
//! let mut pat = vec![0.0f32; size * 2];
//! pat[42] = 100.0;
//! pat[82] = 200.0;
//!
//! let mut result = vec![0.0f32; size * 2];
//! result.copy_from_slice(&pat);
//!
//! // Round-trip transform
//! env1.transform(&mut result);
//! env2.transform(&mut result);
//!
//! for e in &mut result {
//!     *e = *e / size as f32;
//! }
//!
//! assert_num_slice_approx_eq(
//!     &result,
//!     &pat,
//!     1.0e-3f32
//! );
//!
//! # fn assert_num_slice_approx_eq<T: yfft::Num>(got: &[T], expected: &[T], releps: T) {
//! #     assert_eq!(got.len(), expected.len());
//! #     // We can't use `Iterator::max()` because T doesn't implement Ord
//! #     let maxabs = expected
//! #         .iter()
//! #         .map(|x| x.abs())
//! #         .fold(T::zero() / T::zero(), |x, y| x.max(y))
//! #         + T::from(0.01).unwrap();
//! #     let eps = maxabs * releps;
//! #     for i in 0..got.len() {
//! #         let a = got[i];
//! #         let b = expected[i];
//! #         if (a - b).abs() > eps {
//! #             assert!(
//! #                 (a - b).abs() < eps,
//! #                 "assertion failed: `got almost equal to expected` \
//! #                  (got: `{:?}`, expected: `{:?}`, diff=`{:?}`)",
//! #                 got,
//! #                 expected,
//! #                 (a - b).abs()
//! #             );
//! #         }
//! #     }
//! # }
//! ```

#![cfg_attr(test, feature(test))]
#![feature(platform_intrinsics)]

extern crate num_complex;
extern crate num_iter;
extern crate num_traits;

#[macro_use]
extern crate packed_simd;

use std::fmt::Debug;
use std::ops::{AddAssign, DivAssign, MulAssign, SubAssign};

use num_complex::Complex;

#[macro_use]
mod simdutils;
mod aligned;
mod env;
mod kernel;
mod setup;

pub trait Num:
    Clone
    + Debug
    + AddAssign
    + SubAssign
    + MulAssign
    + DivAssign
    + Default
    + num_traits::Float
    + num_traits::FloatConst
    + num_traits::Zero
    + 'static
    + Sync
    + Send
{
}
impl<T> Num for T where
    T: Clone
        + Debug
        + AddAssign
        + SubAssign
        + MulAssign
        + DivAssign
        + Default
        + num_traits::Float
        + num_traits::FloatConst
        + num_traits::Zero
        + 'static
        + Sync
        + Send
{
}

#[inline]
fn complex_from_slice<T: Num>(x: &[T]) -> Complex<T> {
    Complex::new(x[0], x[1])
}

#[inline]
fn mul_pos_i<T: Num>(x: Complex<T>) -> Complex<T> {
    Complex::new(-x.im, x.re)
}

pub use env::Env;
pub use setup::{DataFormat, DataOrder, Options, PlanError, Setup};