Struct chfft::CFft1D
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pub struct CFft1D<T> { /* fields omitted */ }
Perform a complex-to-complex one-dimensional Fourier transform
When X is input array and Y is output array, the forward discrete Fourier transform of the one-dimensional array is\[ \Large Y_k = \sum_{j=0}^{n-1} X_j e^{- \frac {2 \pi i j k}{n}} \]
also, the backward discrete Fourier transform of the one-dimensional array is
\[ \Large Y_k = \sum_{j=0}^{n-1} X_j e^{\frac {2 \pi i j k}{n}} \]
Example
extern crate chfft; extern crate num_complex; use num_complex::Complex; use chfft::CFft1D; fn main() { let input = [Complex::new(2.0, 0.0), Complex::new(1.0, 1.0), Complex::new(0.0, 3.0), Complex::new(2.0, 4.0)]; let mut fft = CFft1D::<f64>::with_len(input.len()); let output = fft.forward(&input); println!("the transform of {:?} is {:?}", input, output); }
Methods
impl<T: Float + FloatConst + NumAssign> CFft1D<T>
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pub fn new() -> Self
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Returns a instances to execute FFT
use chfft::CFft1D; let mut fft = CFft1D::<f64>::new();
pub fn with_len(len: usize) -> Self
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Returns a instances to execute length initialized FFT
use chfft::CFft1D; let mut fft = CFft1D::<f64>::with_len(1024);
pub fn setup(&mut self, len: usize)
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Reinitialize length
use chfft::CFft1D; let mut fft = CFft1D::<f64>::with_len(1024); // reinitialize fft.setup(2048);
pub fn forward(&mut self, source: &[Complex<T>]) -> Vec<Complex<T>>
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The 1 scaling factor forward transform
extern crate chfft; extern crate num_complex; let input = [num_complex::Complex::new(2.0, 0.0), num_complex::Complex::new(1.0, 1.0), num_complex::Complex::new(0.0, 3.0), num_complex::Complex::new(2.0, 4.0)]; let mut fft = chfft::CFft1D::<f64>::with_len(input.len()); let output = fft.forward(&input);
pub fn forward0(&mut self, source: &[Complex<T>]) -> Vec<Complex<T>>
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The 1 scaling factor forward transform
extern crate chfft; extern crate num_complex; let input = [num_complex::Complex::new(2.0, 0.0), num_complex::Complex::new(1.0, 1.0), num_complex::Complex::new(0.0, 3.0), num_complex::Complex::new(2.0, 4.0)]; let mut fft = chfft::CFft1D::<f64>::with_len(input.len()); let output = fft.forward0(&input);
pub fn forwardu(&mut self, source: &[Complex<T>]) -> Vec<Complex<T>>
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The \(\frac 1 {\sqrt n}\) scaling factor forward transform
extern crate chfft; extern crate num_complex; let input = [num_complex::Complex::new(2.0, 0.0), num_complex::Complex::new(1.0, 1.0), num_complex::Complex::new(0.0, 3.0), num_complex::Complex::new(2.0, 4.0)]; let mut fft = chfft::CFft1D::<f64>::with_len(input.len()); let output = fft.forwardu(&input);
pub fn forwardn(&mut self, source: &[Complex<T>]) -> Vec<Complex<T>>
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The \(\frac 1 {n}\) scaling factor forward transform
extern crate chfft; extern crate num_complex; let input = [num_complex::Complex::new(2.0, 0.0), num_complex::Complex::new(1.0, 1.0), num_complex::Complex::new(0.0, 3.0), num_complex::Complex::new(2.0, 4.0)]; let mut fft = chfft::CFft1D::<f64>::with_len(input.len()); let output = fft.forwardn(&input);
pub fn backward(&mut self, source: &[Complex<T>]) -> Vec<Complex<T>>
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The \(\frac 1 n\) scaling factor backward transform
extern crate chfft; extern crate num_complex; let input = [num_complex::Complex::new(2.0, 0.0), num_complex::Complex::new(1.0, 1.0), num_complex::Complex::new(0.0, 3.0), num_complex::Complex::new(2.0, 4.0)]; let mut fft = chfft::CFft1D::<f64>::with_len(input.len()); let output = fft.backward(&input);
pub fn backward0(&mut self, source: &[Complex<T>]) -> Vec<Complex<T>>
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The 1 scaling factor backward transform
extern crate chfft; extern crate num_complex; let input = [num_complex::Complex::new(2.0, 0.0), num_complex::Complex::new(1.0, 1.0), num_complex::Complex::new(0.0, 3.0), num_complex::Complex::new(2.0, 4.0)]; let mut fft = chfft::CFft1D::<f64>::with_len(input.len()); let output = fft.backward0(&input);
pub fn backwardu(&mut self, source: &[Complex<T>]) -> Vec<Complex<T>>
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The \(\frac 1 {\sqrt n}\) scaling factor backward transform
extern crate chfft; extern crate num_complex; let input = [num_complex::Complex::new(2.0, 0.0), num_complex::Complex::new(1.0, 1.0), num_complex::Complex::new(0.0, 3.0), num_complex::Complex::new(2.0, 4.0)]; let mut fft = chfft::CFft1D::<f64>::with_len(input.len()); let output = fft.backwardu(&input);
pub fn backwardn(&mut self, source: &[Complex<T>]) -> Vec<Complex<T>>
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The \(\frac 1 n\) scaling factor backward transform
extern crate chfft; extern crate num_complex; let input = [num_complex::Complex::new(2.0, 0.0), num_complex::Complex::new(1.0, 1.0), num_complex::Complex::new(0.0, 3.0), num_complex::Complex::new(2.0, 4.0)]; let mut fft = chfft::CFft1D::<f64>::with_len(input.len()); let output = fft.backwardn(&input);
pub fn forward0i(&mut self, source: &mut [Complex<T>])
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The 1 scaling factor and in-place forward transform
extern crate chfft; extern crate num_complex; let mut input = [num_complex::Complex::new(2.0, 0.0), num_complex::Complex::new(1.0, 1.0), num_complex::Complex::new(0.0, 3.0), num_complex::Complex::new(2.0, 4.0)]; let mut fft = chfft::CFft1D::<f64>::with_len(input.len()); fft.forward0i(&mut input);
pub fn backward0i(&mut self, source: &mut [Complex<T>])
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The 1 scaling factor and in-place backward transform
extern crate chfft; extern crate num_complex; let mut input = [num_complex::Complex::new(2.0, 0.0), num_complex::Complex::new(1.0, 1.0), num_complex::Complex::new(0.0, 3.0), num_complex::Complex::new(2.0, 4.0)]; let mut fft = chfft::CFft1D::<f64>::with_len(input.len()); fft.backward0i(&mut input);