basic_dsp 0.2.1

Digital signal processing based on 1xN (one times N) or Nx1 vectors in real or complex number space. Vectors come with basic arithmetic, convolution, Fourier transformation and interpolation operations.
Documentation 
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use num::complex::Complex;
use super::Simd;
use simd::x86::avx::{f32x8,f64x4,AvxF32x8,AvxF64x4};
use std::mem;

pub type Reg32 = f32x8;

pub type Reg64 = f64x4;

impl Simd<f32> for f32x8
{
    fn array_to_regs(array: &[f32]) -> &[Self] {
        unsafe { 
			let len = array.len();
            let reg_len = Self::len();
            if len % reg_len != 0 {
                panic!("Argument must be dividable by {}", reg_len);
            }
			let trans: &[Self] = mem::transmute(array);
			&trans[0 .. len / reg_len]
		}
   }
    
    fn array_to_regs_mut(array: &mut [f32]) -> &mut [Self] {
        unsafe { 
			let len = array.len();
            let reg_len = Self::len();
            if len % reg_len != 0 {
                panic!("Argument must be dividable by {}", reg_len);
            }
			let trans: &mut [Self] = mem::transmute(array);
			&mut trans[0 .. len / reg_len]
		}
    }
    
    fn len() -> usize {
        8
    }
    
    fn load(array: &[f32], idx: usize) -> f32x8 {
        f32x8::load(array, idx)
    }
    
    fn load_wrap(array: &[f32], idx: usize) -> f32x8 {
        let mut temp = [0.0; 8];
        for i in 0..temp.len() {
            temp[i] = array[(idx + i) % array.len()];
        }
        f32x8::load(&temp, 0)
    }
    
    fn from_complex(value: Complex<f32>) -> f32x8 {
        f32x8::new(value.re, value.im, value.re, value.im,
                   value.re, value.im, value.re, value.im)
    }
    
	fn add_real(self, value: f32) -> f32x8
	{
		let increment = f32x8::splat(value);
		self + increment
	}
	
	fn add_complex(self, value: Complex<f32>) -> f32x8
	{
		let increment = f32x8::from_complex(value);
		self + increment
	}
	
	fn scale_real(self, value: f32) -> f32x8
	{
		let scale_vector = f32x8::splat(value); 
		self * scale_vector
	}
	
	fn scale_complex(self, value: Complex<f32>) -> f32x8
	{
		let scaling_real = f32x8::splat(value.re);
		let scaling_imag = f32x8::splat(value.im);
		let parallel = scaling_real * self;
		// There should be a shufps operation which shuffles the vector self
		let shuffled = f32x8::new(self.extract(1), self.extract(0), self.extract(3), self.extract(2),
                                  self.extract(5), self.extract(4), self.extract(7), self.extract(6)); 
		let cross = scaling_imag * shuffled;
		parallel.addsub(cross)
	}
	
	fn mul_complex(self, value: f32x8) -> f32x8
	{
		let scaling_real = f32x8::new(value.extract(0), value.extract(0), value.extract(2), value.extract(2),
                                      value.extract(4), value.extract(4), value.extract(6), value.extract(6));
		let scaling_imag = f32x8::new(value.extract(1), value.extract(1), value.extract(3), value.extract(3),
                                      value.extract(5), value.extract(5), value.extract(7), value.extract(7));
		let parallel = scaling_real * self;
		// There should be a shufps operation which shuffles the vector self
		let shuffled = f32x8::new(self.extract(1), self.extract(0), self.extract(3), self.extract(2),
                                  self.extract(5), self.extract(4), self.extract(7), self.extract(6)); 
		let cross = scaling_imag * shuffled; 
		parallel.addsub(cross)
	}
	
	fn div_complex(self, value: f32x8) -> f32x8
	{
                let scaling_imag = f32x8::new(self.extract(0), self.extract(0), self.extract(2), self.extract(2),
                                      self.extract(4), self.extract(4), self.extract(6), self.extract(6));
                let scaling_real = f32x8::new(self.extract(1), self.extract(1), self.extract(3), self.extract(3),
                                      self.extract(5), self.extract(5), self.extract(7), self.extract(7));
                let parallel = scaling_real * value;
                // There should be a shufps operation which shuffles the vector self
                let shuffled = f32x8::new(value.extract(1), value.extract(0), value.extract(3), value.extract(2),
                                  value.extract(5), value.extract(4), value.extract(7), value.extract(6));
                let cross = scaling_imag * shuffled;
                let mul = parallel.addsub(cross);
                let square = shuffled * shuffled;
                let square_shuffled = f32x8::new(square.extract(1), square.extract(0), square.extract(3), square.extract(2),
                                         square.extract(5), square.extract(4), square.extract(7), square.extract(6));
                let sum = square + square_shuffled;
                let div = mul / sum;
                f32x8::new(div.extract(1), div.extract(0), div.extract(3), div.extract(2),
                   div.extract(5), div.extract(4), div.extract(7), div.extract(6))
	}
	
	fn complex_abs_squared(self) -> f32x8
	{
		let squared = self * self;
		squared.hadd(squared)
	}
	
	fn complex_abs(self) -> f32x8
	{
		let squared_sum = self.complex_abs_squared();
		AvxF32x8::sqrt(squared_sum)
	}
    
    fn sqrt(self) -> f32x8 {
        AvxF32x8::sqrt(self)
    }
    
    fn store(self, target: &mut [f32], index: usize)
	{
        self.store(target, index);
	}
	
	fn store_half(self, target: &mut [f32], index: usize)
	{
		let mut temp = [0.0; 8];
		self.store(&mut temp, 0);
		target[index] = temp[0];
		target[index + 1] = temp[1];
        target[index + 2] = temp[4];
        target[index + 3] = temp[5];
	}
    
    fn sum_real(&self) -> f32 {
        self.extract(0) +
        self.extract(1) +
        self.extract(2) +
        self.extract(3) +
        self.extract(4) +
        self.extract(5) +
        self.extract(6) +
        self.extract(7)
    }
    
    fn sum_complex(&self) -> Complex<f32> {
        Complex::<f32>::new(self.extract(0) + self.extract(2) + self.extract(4) + self.extract(6),
                            self.extract(1) + self.extract(3) + self.extract(5) + self.extract(7))
    }
}

impl Simd<f64> for f64x4
{
    fn array_to_regs(array: &[f64]) -> &[Self] {
        unsafe { 
			let len = array.len();
            let reg_len = Self::len();
            if len % reg_len != 0 {
                panic!("Argument must be dividable by {}", reg_len);
            }
			let trans: &[Self] = mem::transmute(array);
			&trans[0 .. len / reg_len]
		}
    }
    
    fn array_to_regs_mut(array: &mut [f64]) -> &mut [Self] {
        unsafe { 
			let len = array.len();
            let reg_len = Self::len();
            if len % reg_len != 0 {
                panic!("Argument must be dividable by {}", reg_len);
            }
			let trans: &mut [Self] = mem::transmute(array);
			&mut trans[0 .. len / reg_len]
		}
    }
    
    fn len() -> usize {
        4
    }
    
    fn load(array: &[f64], idx: usize) -> f64x4 {
        f64x4::load(array, idx)
    }
    
    fn load_wrap(array: &[f64], idx: usize) -> f64x4 {
        let mut temp = [0.0; 4];
        for i in 0..temp.len() {
            temp[i] = array[(idx + i) % array.len()];
        }
        f64x4::load(&temp, 0)
    }
    
    fn from_complex(value: Complex<f64>) -> f64x4 {
        f64x4::new(value.re, value.im, value.re, value.im)
    }
    
	fn add_real(self, value: f64) -> f64x4
	{
		let increment = f64x4::splat(value);
		self + increment
	}
	
	fn add_complex(self, value: Complex<f64>) -> f64x4
	{
		let increment = f64x4::new(value.re, value.im, value.re, value.im);
		self + increment
	}
	
	fn scale_real(self, value: f64) -> f64x4
	{
		let scale_vector = f64x4::splat(value); 
		self * scale_vector
	}
	
	fn scale_complex(self, value: Complex<f64>) -> f64x4
	{
		let scaling_real = f64x4::splat(value.re);
		let scaling_imag = f64x4::splat(value.im);
		let parallel = scaling_real * self;
		// There should be a shufps operation which shuffles the vector self
		let shuffled = f64x4::new(self.extract(1), self.extract(0), self.extract(3), self.extract(2)); 
		let cross = scaling_imag * shuffled;
		parallel.addsub(cross)
	}
	
	fn mul_complex(self, value: f64x4) -> f64x4
	{
		let scaling_real = f64x4::new(value.extract(0), value.extract(0), value.extract(2), value.extract(2));
		let scaling_imag = f64x4::new(value.extract(1), value.extract(1), value.extract(3), value.extract(3));
		let parallel = scaling_real * self;
		// There should be a shufps operation which shuffles the vector self
		let shuffled = f64x4::new(self.extract(1), self.extract(0), self.extract(3), self.extract(2)); 
		let cross = scaling_imag * shuffled;
		parallel.addsub(cross)
	}
	
	fn div_complex(self, value: f64x4) -> f64x4
	{
		let scaling_imag = f64x4::new(self.extract(0), self.extract(0), self.extract(2), self.extract(2));
		let scaling_real = f64x4::new(self.extract(1), self.extract(1), self.extract(3), self.extract(3));
		let parallel = scaling_real * value;
		// There should be a shufps operation which shuffles the vector self
		let shuffled = f64x4::new(value.extract(1), value.extract(0), value.extract(3), value.extract(2)); 
		let cross = scaling_imag * shuffled;
		let mul = parallel.addsub(cross);
		let square = shuffled * shuffled;
		let square_shuffled = f64x4::new(square.extract(1), square.extract(0), square.extract(3), square.extract(2));
		let sum = square + square_shuffled;
		let div = mul / sum;
		f64x4::new(div.extract(1), div.extract(0), div.extract(3), div.extract(2))
	}
	
	fn complex_abs_squared(self) -> f64x4
	{
		let squared = self * self;
		squared.hadd(squared)
	}
	
	fn complex_abs(self) -> f64x4
	{
		let squared_sum = self.complex_abs_squared();
		AvxF64x4::sqrt(squared_sum)
	}
    
    fn sqrt(self) -> f64x4 {
        f64x4::new(self.extract(0).sqrt(), self.extract(1).sqrt(), self.extract(2).sqrt(), self.extract(3).sqrt())
    }
    
    fn store(self, target: &mut [f64], index: usize)
	{
		self.store(target, index);
	} 
	
	fn store_half(self, target: &mut [f64], index: usize)
	{
		let mut temp = [0.0; 4];
		self.store(&mut temp, 0);
		target[index] = temp[0];
		target[index + 1] = temp[2];
	}
    
    fn sum_real(&self) -> f64 {
        self.extract(0) +
        self.extract(1) +
        self.extract(2) +
        self.extract(3)
    }
    
    fn sum_complex(&self) -> Complex<f64> {
        Complex::<f64>::new(self.extract(0) + self.extract(2), self.extract(1) + self.extract(3))
    }
}