basic_dsp 0.10.2

Digital signal processing based on real or complex vectors in time or frequency domain.
Documentation
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extern crate basic_dsp;
extern crate num;
extern crate rand;
pub mod tools;

mod inter_test {
    use crate::tools::*;
    use basic_dsp::conv_types::*;
    use basic_dsp::*;
    use num::complex::*;

    #[test]
    fn compare_interpolatef_and_interpolatei() {
        for iteration in 0..3 {
            let a = create_data_even(201511212, iteration, 2002, 4000);
            let delta = create_delta(3561159, iteration);
            let mut time = a.to_complex_time_vec();
            time.set_delta(delta);
            let fun: RaisedCosineFunction<f32> = RaisedCosineFunction::new(0.35);
            let factor = iteration as u32 + 1;
            let mut buffer = SingleBuffer::new();
            let mut left = time.clone();
            left.interpolatef(
                &mut buffer,
                &fun as &dyn RealImpulseResponse<f32>,
                factor as f32,
                0.0,
                10,
            );
            let mut right = time;
            right
                .interpolatei(&mut buffer, &fun as &dyn RealFrequencyResponse<f32>, factor)
                .unwrap();
            assert_vector_eq_with_reason_and_tolerance(
                left.data(..),
                right.data(..),
                0.1,
                &format!(
                    "Results should match \
                     independent if done with \
                     interpolatei or interpolatef, \
                     factor={}",
                    factor
                ),
            );
        }
    }

    #[test]
    fn compare_interpolate_and_interpolatei() {
        for iteration in 0..3 {
            let a = create_random_multitones(201511212, iteration, 2002, 4000, 5);
            let delta = create_delta(3561159, iteration);
            let time = a.to_real_time_vec();
            let mut time = time.to_complex().unwrap();
            time.scale(Complex32::new(0.9, -0.1));
            time.set_delta(delta);
            let fun: SincFunction<f32> = SincFunction::new();
            let factor = iteration as u32 + 1;
            let mut buffer = SingleBuffer::new();
            let mut left = time.clone();
            left.interpolate(
                &mut buffer,
                Some(&fun as &dyn RealFrequencyResponse<f32>),
                time.points() * factor as usize,
                0.0,
            )
            .unwrap();
            let mut right = time;
            right
                .interpolatei(&mut buffer, &fun as &dyn RealFrequencyResponse<f32>, factor)
                .unwrap();
            assert_vector_eq_with_reason_and_tolerance(
                left.data(..),
                right.data(..),
                0.1,
                &format!(
                    "Results should match \
                     independent if done with \
                     interpolatei or interpolate, \
                     factor={}",
                    factor
                ),
            );
        }
    }

    #[test]
    fn compare_interpolatef_and_interpolatef_optimized() {
        for iteration in 0..3 {
            // This offset is just enough to trigger the non optimized code path
            let offset = 1.0001e-6;
            let a = create_data_even(201602221, iteration, 2002, 4000);
            let delta = create_delta(201602222, iteration);
            let mut time = a.to_complex_time_vec();
            time.set_delta(delta);
            let fun: RaisedCosineFunction<f32> = RaisedCosineFunction::new(0.35);
            let mut buffer = SingleBuffer::new();
            let factor = iteration as u32 + 2;
            let mut left = time.clone();
            left.interpolatef(
                &mut buffer,
                &fun as &dyn RealImpulseResponse<f32>,
                factor as f32 + offset,
                0.0,
                12,
            );
            let mut right = time;
            right.interpolatef(
                &mut buffer,
                &fun as &dyn RealImpulseResponse<f32>,
                factor as f32,
                0.0,
                12,
            );
            assert_vector_eq_with_reason_and_tolerance(
                left.data(..),
                right.data(..),
                1e-2,
                &format!(
                    "Results should match \
                     independent if done with \
                     optimized or non optimized \
                     interpolatef, factor={}",
                    factor
                ),
            );
        }
    }

    #[test]
    fn compare_interpolatef_and_interpolate() {
        for iteration in 0..3 {
            let a = create_random_multitones(201511212, iteration, 2002, 4000, 5);
            let delta = create_delta(201602222, iteration);
            let time = a.to_real_time_vec();
            let mut time = time.to_complex().unwrap();
            time.scale(Complex32::new(0.45, -0.3));
            time.set_delta(delta);
            let fun: RaisedCosineFunction<f32> = RaisedCosineFunction::new(0.35);
            let mut buffer = SingleBuffer::new();
            let factor = iteration as u32 + 2;
            let mut left = time.clone();
            left.interpolatef(
                &mut buffer,
                &fun as &dyn RealImpulseResponse<f32>,
                factor as f32,
                0.0,
                12,
            );
            let mut right = time;
            right
                .interpolate(
                    &mut buffer,
                    Some(&fun as &dyn RealFrequencyResponse<f32>),
                    left.points(),
                    0.0,
                )
                .unwrap();
            assert_vector_eq_with_reason_and_tolerance(
                left.data(..),
                right.data(..),
                0.1,
                &format!(
                    "Results should match \
                     independent if done with \
                     optimized with interpolate or \
                     interpolatef, factor={}",
                    factor
                ),
            );
        }
    }

    #[test]
    fn compare_interpolatef_and_interpolate_with_delay() {
        for iteration in 0..3 {
            let a = create_random_multitones(20170322, iteration, 2002, 4000, 5);
            let len = a.len();
            let delta = create_delta(20170323, iteration);
            let delay = create_delta(20170324, iteration);
            let time = a.to_real_time_vec();
            let mut time = time.to_complex().unwrap();
            time.scale(Complex32::new(0.45, -0.3));
            time.set_delta(delta);
            let fun: RaisedCosineFunction<f32> = RaisedCosineFunction::new(0.1);
            let mut buffer = SingleBuffer::new();
            let factor = iteration as u32 + 1;
            let mut left = time.clone();
            left.interpolatef(
                &mut buffer,
                &fun as &dyn RealImpulseResponse<f32>,
                factor as f32,
                delay,
                12,
            );
            let mut right = time;
            right
                .interpolate(
                    &mut buffer,
                    Some(&fun as &dyn RealFrequencyResponse<f32>),
                    left.points(),
                    delay,
                )
                .unwrap();
            // `create_random_multitones` very likely creates discontinuities if the vector
            // is wrapped around from the end to the beginning. Both interpolatation functions
            // perform such as wrap around. The discontinuities will cause ringing and both methods
            // likely react different to the ringing. Since we don't care too much about that
            // for this test we ignore the beginning and end in the test.
            assert_vector_eq_with_reason_and_tolerance(
                left.data(150..len - 150),
                right.data(150..len - 150),
                1e-1,
                &format!(
                    "Results should match \
                     independent if done with \
                     with interpolate or \
                     interpolatef, factor={}",
                    factor
                ),
            );
        }
    }

    #[test]
    fn compare_interpolatef_and_interpolatef_optimized_with_delay() {
        for iteration in 0..3 {
            // This offset is just enough to trigger the non optimized code path
            let offset = 1.0001e-6;
            let a = create_data_even(201602221, iteration, 2002, 4000);
            let delta = create_delta(201602222, iteration);
            let mut time = a.to_complex_time_vec();
            time.set_delta(delta);
            let fun: RaisedCosineFunction<f32> = RaisedCosineFunction::new(0.35);
            let mut buffer = SingleBuffer::new();
            let factor = iteration as u32 + 2;
            let delay = 1.0 / (iteration as f32 + 2.0);
            let mut left = time.clone();
            left.interpolatef(
                &mut buffer,
                &fun as &dyn RealImpulseResponse<f32>,
                factor as f32 + offset,
                delay,
                12,
            );
            let mut right = time;
            right.interpolatef(
                &mut buffer,
                &fun as &dyn RealImpulseResponse<f32>,
                factor as f32,
                delay,
                12,
            );
            assert_vector_eq_with_reason_and_tolerance(
                left.data(..),
                right.data(..),
                0.1,
                &format!(
                    "Results should match \
                     independent if done with \
                     optimized or non optimized \
                     interpolatef, factor={}",
                    factor
                ),
            );
        }
    }

    #[test]
    fn compare_real_and_complex_interpolatef() {
        for iteration in 0..3 {
            let a = create_data_even(2015112121, iteration, 2002, 4000);
            let delta = create_delta(35611592, iteration);
            let mut real = a.to_real_time_vec();
            real.set_delta(delta);
            let fun: RaisedCosineFunction<f32> = RaisedCosineFunction::new(0.35);
            let mut buffer = SingleBuffer::new();
            let factor = iteration as f32 + 1.0;
            let mut left = real.clone();
            left.interpolatef(
                &mut buffer,
                &fun as &dyn RealImpulseResponse<f32>,
                factor,
                0.0,
                12,
            );
            let mut right = real.to_complex().unwrap();
            right.interpolatef(
                &mut buffer,
                &fun as &dyn RealImpulseResponse<f32>,
                factor,
                0.0,
                12,
            );
            let right = right.to_real();
            assert_vector_eq_with_reason_and_tolerance(
                left.data(..),
                right.data(..),
                0.1,
                &format!(
                    "Results should match \
                     independent if done in real or \
                     complex number space, factor={}",
                    factor
                ),
            );
        }
    }

    #[test]
    fn compare_real_and_complex_interpolatei() {
        for iteration in 0..3 {
            let a = create_data_even(2015112123, iteration, 2002, 4000);
            let delta = create_delta(35611594, iteration);
            let mut real = a.to_real_time_vec();
            real.set_delta(delta);
            let fun: RaisedCosineFunction<f32> = RaisedCosineFunction::new(0.35);
            let mut buffer = SingleBuffer::new();
            let factor = iteration as u32 + 1;
            let mut left = real.clone();
            left.interpolatei(&mut buffer, &fun as &dyn RealFrequencyResponse<f32>, factor)
                .unwrap();
            let mut right = real.to_complex().unwrap();
            right
                .interpolatei(&mut buffer, &fun as &dyn RealFrequencyResponse<f32>, factor)
                .unwrap();
            let right = right.to_real();
            assert_vector_eq_with_reason_and_tolerance(
                left.data(..),
                right.data(..),
                0.1,
                "Results should match independent if done \
                 in real or complex number space",
            );
        }
    }

    #[test]
    fn upsample_downsample() {
        for iteration in 0..3 {
            let a = create_random_multitones(2015112125, iteration, 2002, 4000, 5);
            let delta = create_delta(35611596, iteration);
            let mut time = a.to_complex_time_vec();
            time.set_delta(delta);
            let fun: RaisedCosineFunction<f32> = RaisedCosineFunction::new(0.35);
            let mut buffer = SingleBuffer::new();
            let factor = (iteration as f32 + 4.0) * 0.5;
            let mut upsample = time.clone();
            upsample.interpolatef(
                &mut buffer,
                &fun as &dyn RealImpulseResponse<f32>,
                factor,
                0.0,
                13,
            );
            upsample.interpolatef(
                &mut buffer,
                &fun as &dyn RealImpulseResponse<f32>,
                1.0 / factor,
                0.0,
                13,
            );
            assert_vector_eq_with_reason_and_tolerance(
                time.data(..),
                upsample.data(..),
                0.2,
                &format!(
                    "Downsampling should be the \
                     inverse of upsampling, \
                     factor={}",
                    factor
                ),
            );
        }
    }

    #[test]
    fn interpolate_upsample_downsample() {
        for iteration in 0..3 {
            let a = create_random_multitones(2015112125, iteration, 2002, 4000, 5);
            let delta = create_delta(35611596, iteration);
            let mut time = a.to_complex_time_vec();
            time.set_delta(delta);
            let mut buffer = SingleBuffer::new();
            let factor = iteration + 2;
            let points = time.points();
            let mut upsample = time.clone();
            upsample.interpft(&mut buffer, factor * points);
            upsample.interpft(&mut buffer, points);
            assert_vector_eq_with_reason_and_tolerance(
                time.data(..),
                upsample.data(..),
                0.2,
                &format!(
                    "Downsampling should be the \
                     inverse of upsampling, \
                     factor={}",
                    factor
                ),
            );
        }
    }
}