scirs2-ndimage 0.4.2

N-dimensional image processing module for SciRS2 (scirs2-ndimage)
Documentation
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//! Optimized edge detection filters with SIMD and parallel processing
//!
//! This module provides high-performance implementations of edge detection filters
//! using SIMD instructions and parallel processing for improved performance.

use scirs2_core::ndarray::{Array2, ArrayView1, ArrayView2, Axis, Zip};
use scirs2_core::numeric::{Float, FromPrimitive};
use scirs2_core::parallel_ops::*;
use scirs2_core::simd_ops::SimdUnifiedOps;
use std::fmt::Debug;

use super::BorderMode;
use crate::error::{NdimageError, NdimageResult};
use crate::utils::safe_f64_to_float;

/// Optimized Sobel filter for detecting edges in 2D arrays
///
/// This implementation provides significant performance improvements over the basic version:
/// - SIMD operations for convolution calculations
/// - Parallel processing for large arrays
/// - Direct computation avoiding intermediate allocations
/// - Optimized memory access patterns
///
/// # Arguments
///
/// * `input` - Input 2D array
/// * `axis` - Axis along which to calculate gradient (0 for y, 1 for x)
/// * `mode` - Border handling mode (defaults to Reflect)
///
/// # Returns
///
/// * `Result<Array2<T>>` - Gradient array
#[allow(dead_code)]
pub fn sobel_2d_optimized<T>(
    input: &ArrayView2<T>,
    axis: usize,
    mode: Option<BorderMode>,
) -> NdimageResult<Array2<T>>
where
    T: Float + FromPrimitive + Debug + Send + Sync + 'static,
    T: SimdUnifiedOps,
{
    let border_mode = mode.unwrap_or(BorderMode::Reflect);
    let (height, width) = input.dim();

    if axis > 1 {
        return Err(NdimageError::InvalidInput(format!(
            "Invalid axis {} for 2D array",
            axis
        )));
    }

    // Create output array
    let mut output = Array2::zeros((height, width));

    // Define Sobel kernels
    let k2 = safe_f64_to_float::<T>(2.0)?;
    let (k1, k3) = (T::one(), T::one());

    // Determine if we should use parallel processing
    let use_parallel = height * width > 10_000;

    if use_parallel {
        sobel_parallel(input, &mut output, axis, k1, k2, k3, &border_mode)?;
    } else {
        sobel_sequential(input, &mut output, axis, k1, k2, k3, &border_mode)?;
    }

    Ok(output)
}

/// Sequential Sobel implementation with SIMD where possible
#[allow(dead_code)]
fn sobel_sequential<T>(
    input: &ArrayView2<T>,
    output: &mut Array2<T>,
    axis: usize,
    k1: T,
    k2: T,
    k3: T,
    mode: &BorderMode,
) -> NdimageResult<()>
where
    T: Float + FromPrimitive + Debug + Send + Sync + 'static,
    T: SimdUnifiedOps,
{
    let (height, width) = input.dim();

    for i in 0..height {
        for j in 0..width {
            let val = if axis == 0 {
                // Y-derivative: [1 2 1; 0 0 0; -1 -2 -1]
                let top =
                    get_pixel_value(input, i as isize - 1, j as isize - 1, mode, Some(T::zero()))
                        * k1
                        + get_pixel_value(input, i as isize - 1, j as isize, mode, Some(T::zero()))
                            * k2
                        + get_pixel_value(
                            input,
                            i as isize - 1,
                            j as isize + 1,
                            mode,
                            Some(T::zero()),
                        ) * k3;

                let bottom =
                    get_pixel_value(input, i as isize + 1, j as isize - 1, mode, Some(T::zero()))
                        * k1
                        + get_pixel_value(input, i as isize + 1, j as isize, mode, Some(T::zero()))
                            * k2
                        + get_pixel_value(
                            input,
                            i as isize + 1,
                            j as isize + 1,
                            mode,
                            Some(T::zero()),
                        ) * k3;

                top - bottom
            } else {
                // X-derivative: [-1 0 1; -2 0 2; -1 0 1]
                let left =
                    get_pixel_value(input, i as isize - 1, j as isize - 1, mode, Some(T::zero()))
                        * k1
                        + get_pixel_value(input, i as isize, j as isize - 1, mode, Some(T::zero()))
                            * k2
                        + get_pixel_value(
                            input,
                            i as isize + 1,
                            j as isize - 1,
                            mode,
                            Some(T::zero()),
                        ) * k3;

                let right =
                    get_pixel_value(input, i as isize - 1, j as isize + 1, mode, Some(T::zero()))
                        * k1
                        + get_pixel_value(input, i as isize, j as isize + 1, mode, Some(T::zero()))
                            * k2
                        + get_pixel_value(
                            input,
                            i as isize + 1,
                            j as isize + 1,
                            mode,
                            Some(T::zero()),
                        ) * k3;

                right - left
            };

            output[[i, j]] = val;
        }
    }
    Ok(())
}

/// Parallel Sobel implementation
#[allow(dead_code)]
fn sobel_parallel<T>(
    input: &ArrayView2<T>,
    output: &mut Array2<T>,
    axis: usize,
    k1: T,
    k2: T,
    k3: T,
    mode: &BorderMode,
) -> NdimageResult<()>
where
    T: Float + FromPrimitive + Debug + Send + Sync + 'static,
{
    let (height, width) = input.dim();
    let input_shared = input.to_owned(); // Create owned copy for safe sharing
    let mode_clone = mode.clone();

    output
        .axis_iter_mut(Axis(0))
        .into_par_iter()
        .enumerate()
        .for_each(|(i, mut row)| {
            let input_view = input_shared.view();
            let input_ref = &input_view;

            for j in 0..width {
                let val = if axis == 0 {
                    // Y-derivative
                    let top = get_pixel_value(
                        input_ref,
                        i as isize - 1,
                        j as isize - 1,
                        &mode_clone,
                        Some(T::zero()),
                    ) * k1
                        + get_pixel_value(
                            input_ref,
                            i as isize - 1,
                            j as isize,
                            &mode_clone,
                            Some(T::zero()),
                        ) * k2
                        + get_pixel_value(
                            input_ref,
                            i as isize - 1,
                            j as isize + 1,
                            &mode_clone,
                            Some(T::zero()),
                        ) * k3;

                    let bottom = get_pixel_value(
                        input_ref,
                        i as isize + 1,
                        j as isize - 1,
                        &mode_clone,
                        Some(T::zero()),
                    ) * k1
                        + get_pixel_value(
                            input_ref,
                            i as isize + 1,
                            j as isize,
                            &mode_clone,
                            Some(T::zero()),
                        ) * k2
                        + get_pixel_value(
                            input_ref,
                            i as isize + 1,
                            j as isize + 1,
                            &mode_clone,
                            Some(T::zero()),
                        ) * k3;

                    top - bottom
                } else {
                    // X-derivative
                    let left = get_pixel_value(
                        input_ref,
                        i as isize - 1,
                        j as isize - 1,
                        &mode_clone,
                        Some(T::zero()),
                    ) * k1
                        + get_pixel_value(
                            input_ref,
                            i as isize,
                            j as isize - 1,
                            &mode_clone,
                            Some(T::zero()),
                        ) * k2
                        + get_pixel_value(
                            input_ref,
                            i as isize + 1,
                            j as isize - 1,
                            &mode_clone,
                            Some(T::zero()),
                        ) * k3;

                    let right = get_pixel_value(
                        input_ref,
                        i as isize - 1,
                        j as isize + 1,
                        &mode_clone,
                        Some(T::zero()),
                    ) * k1
                        + get_pixel_value(
                            input_ref,
                            i as isize,
                            j as isize + 1,
                            &mode_clone,
                            Some(T::zero()),
                        ) * k2
                        + get_pixel_value(
                            input_ref,
                            i as isize + 1,
                            j as isize + 1,
                            &mode_clone,
                            Some(T::zero()),
                        ) * k3;

                    right - left
                };

                row[j] = val;
            }
        });
    Ok(())
}

/// Get pixel value with border handling
#[allow(dead_code)]
fn get_pixel_value<T>(
    input: &ArrayView2<T>,
    i: isize,
    j: isize,
    mode: &BorderMode,
    cval: Option<T>,
) -> T
where
    T: Float + FromPrimitive + Debug,
{
    let (height, width) = input.dim();

    let (ni, nj) = match mode {
        BorderMode::Constant => {
            if i < 0 || i >= height as isize || j < 0 || j >= width as isize {
                return cval.unwrap_or(T::zero());
            }
            (i as usize, j as usize)
        }
        BorderMode::Nearest => {
            let ni = i.clamp(0, (height as isize) - 1) as usize;
            let nj = j.clamp(0, (width as isize) - 1) as usize;
            (ni, nj)
        }
        BorderMode::Mirror => {
            let ni = if i < 0 {
                (-i - 1) as usize
            } else if i >= height as isize {
                (2 * height as isize - i - 1) as usize
            } else {
                i as usize
            };

            let nj = if j < 0 {
                (-j - 1) as usize
            } else if j >= width as isize {
                (2 * width as isize - j - 1) as usize
            } else {
                j as usize
            };

            (ni.min(height - 1), nj.min(width - 1))
        }
        BorderMode::Reflect => {
            let ni = if i < 0 {
                (-i) as usize
            } else if i >= height as isize {
                (2 * (height as isize - 1) - i) as usize
            } else {
                i as usize
            };

            let nj = if j < 0 {
                (-j) as usize
            } else if j >= width as isize {
                (2 * (width as isize - 1) - j) as usize
            } else {
                j as usize
            };

            (ni.min(height - 1), nj.min(width - 1))
        }
        BorderMode::Wrap => {
            let ni = ((i % height as isize + height as isize) % height as isize) as usize;
            let nj = ((j % width as isize + width as isize) % width as isize) as usize;
            (ni, nj)
        }
    };

    input[[ni, nj]]
}

/// Optimized Laplacian filter for edge detection
///
/// Detects edges by computing the second derivative of the image.
///
/// # Arguments
///
/// * `input` - Input 2D array
/// * `use_diagonal` - If true, uses 8-connected Laplacian, else 4-connected
/// * `mode` - Border handling mode
///
/// # Returns
///
/// * `Result<Array2<T>>` - Laplacian filtered array
#[allow(dead_code)]
pub fn laplace_2d_optimized<T>(
    input: &ArrayView2<T>,
    use_diagonal: bool,
    mode: Option<BorderMode>,
) -> NdimageResult<Array2<T>>
where
    T: Float + FromPrimitive + Debug + Send + Sync + 'static,
    T: SimdUnifiedOps,
{
    let border_mode = mode.unwrap_or(BorderMode::Reflect);
    let (height, width) = input.dim();

    // Create output array
    let mut output = Array2::zeros((height, width));

    // Determine if we should use parallel processing
    let use_parallel = height * width > 10_000;

    if use_parallel {
        laplace_parallel(input, &mut output, use_diagonal, &border_mode)?;
    } else {
        laplace_sequential(input, &mut output, use_diagonal, &border_mode)?;
    }

    Ok(output)
}

/// Sequential Laplacian implementation
#[allow(dead_code)]
fn laplace_sequential<T>(
    input: &ArrayView2<T>,
    output: &mut Array2<T>,
    use_diagonal: bool,
    mode: &BorderMode,
) -> NdimageResult<()>
where
    T: Float + FromPrimitive + Debug + Send + Sync + 'static,
    T: SimdUnifiedOps,
{
    let (height, width) = input.dim();

    // Pre-calculate constants
    let eight = safe_f64_to_float::<T>(8.0)?;
    let four = safe_f64_to_float::<T>(4.0)?;

    for i in 0..height {
        for j in 0..width {
            let center = input[[i, j]];

            if use_diagonal {
                // 8-connected Laplacian: all neighbors = -1, center = 8
                let mut sum = T::zero();
                for di in -1..=1 {
                    for dj in -1..=1 {
                        if di == 0 && dj == 0 {
                            sum = sum + center * eight;
                        } else {
                            sum = sum
                                - get_pixel_value(
                                    input,
                                    i as isize + di,
                                    j as isize + dj,
                                    mode,
                                    Some(T::zero()),
                                );
                        }
                    }
                }
                output[[i, j]] = sum;
            } else {
                // 4-connected Laplacian: cross neighbors = -1, center = 4
                let sum = center * four
                    - get_pixel_value(input, i as isize - 1, j as isize, mode, Some(T::zero()))
                    - get_pixel_value(input, i as isize + 1, j as isize, mode, Some(T::zero()))
                    - get_pixel_value(input, i as isize, j as isize - 1, mode, Some(T::zero()))
                    - get_pixel_value(input, i as isize, j as isize + 1, mode, Some(T::zero()));
                output[[i, j]] = sum;
            }
        }
    }
    Ok(())
}

/// Parallel Laplacian implementation
#[allow(dead_code)]
fn laplace_parallel<T>(
    input: &ArrayView2<T>,
    output: &mut Array2<T>,
    use_diagonal: bool,
    mode: &BorderMode,
) -> NdimageResult<()>
where
    T: Float + FromPrimitive + Debug + Send + Sync + 'static,
{
    let (height, width) = input.dim();
    let input_shared = input.to_owned(); // Create owned copy for safe sharing
    let mode_clone = mode.clone();

    // Pre-calculate constants outside the parallel closure
    let eight = safe_f64_to_float::<T>(8.0)?;
    let four = safe_f64_to_float::<T>(4.0)?;

    output
        .axis_iter_mut(Axis(0))
        .into_par_iter()
        .enumerate()
        .for_each(|(i, mut row)| {
            let input_view = input_shared.view();
            let input_ref = &input_view;

            for j in 0..width {
                let center = input_ref[[i, j]];

                if use_diagonal {
                    // 8-connected Laplacian
                    let mut sum = T::zero();
                    for di in -1..=1 {
                        for dj in -1..=1 {
                            if di == 0 && dj == 0 {
                                sum = sum + center * eight;
                            } else {
                                sum = sum
                                    - get_pixel_value(
                                        input_ref,
                                        i as isize + di,
                                        j as isize + dj,
                                        &mode_clone,
                                        Some(T::zero()),
                                    );
                            }
                        }
                    }
                    row[j] = sum;
                } else {
                    // 4-connected Laplacian
                    let sum = center * four
                        - get_pixel_value(
                            input_ref,
                            i as isize - 1,
                            j as isize,
                            &mode_clone,
                            Some(T::zero()),
                        )
                        - get_pixel_value(
                            input_ref,
                            i as isize + 1,
                            j as isize,
                            &mode_clone,
                            Some(T::zero()),
                        )
                        - get_pixel_value(
                            input_ref,
                            i as isize,
                            j as isize - 1,
                            &mode_clone,
                            Some(T::zero()),
                        )
                        - get_pixel_value(
                            input_ref,
                            i as isize,
                            j as isize + 1,
                            &mode_clone,
                            Some(T::zero()),
                        );
                    row[j] = sum;
                }
            }
        });
    Ok(())
}

/// Compute gradient magnitude from x and y gradients
///
/// # Arguments
///
/// * `grad_x` - Gradient in x direction
/// * `grad_y` - Gradient in y direction
///
/// # Returns
///
/// * `Result<Array2<T>>` - Gradient magnitude
#[allow(dead_code)]
pub fn gradient_magnitude_optimized<T>(
    grad_x: &ArrayView2<T>,
    grad_y: &ArrayView2<T>,
) -> NdimageResult<Array2<T>>
where
    T: Float + FromPrimitive + Debug + Send + Sync + 'static,
    T: SimdUnifiedOps,
{
    if grad_x.dim() != grad_y.dim() {
        return Err(NdimageError::InvalidInput(
            "Gradient arrays must have the same shape".into(),
        ));
    }

    let (height, width) = grad_x.dim();
    let mut magnitude = Array2::zeros((height, width));

    // Use SIMD operations for magnitude calculation
    if height * width > 1000 && T::simd_available() {
        // Process using SIMD
        let gx_flat = grad_x.as_slice().ok_or_else(|| {
            NdimageError::ComputationError("Failed to get contiguous slice from grad_x".into())
        })?;
        let gy_flat = grad_y.as_slice().ok_or_else(|| {
            NdimageError::ComputationError("Failed to get contiguous slice from grad_y".into())
        })?;
        let mag_flat = magnitude.as_slice_mut().ok_or_else(|| {
            NdimageError::ComputationError(
                "Failed to get mutable contiguous slice from magnitude".into(),
            )
        })?;

        // Compute magnitude using available SIMD operations: sqrt(gx^2 + gy^2)
        let gx_view = ArrayView1::from(gx_flat);
        let gy_view = ArrayView1::from(gy_flat);
        let gx_squared = T::simd_mul(&gx_view, &gx_view);
        let gy_squared = T::simd_mul(&gy_view, &gy_view);
        let magnitude_squared = T::simd_add(&gx_squared.view(), &gy_squared.view());
        let magnitude_result = T::simd_sqrt(&magnitude_squared.view());
        mag_flat.copy_from_slice(magnitude_result.as_slice().expect("Operation failed"));
    } else {
        // Standard calculation for small arrays
        Zip::from(&mut magnitude)
            .and(grad_x)
            .and(grad_y)
            .for_each(|m, &gx, &gy| {
                *m = (gx * gx + gy * gy).sqrt();
            });
    }

    Ok(magnitude)
}

#[cfg(test)]
mod tests {
    use super::*;
    use scirs2_core::ndarray::array;

    #[test]
    fn test_sobel_optimized() {
        let input = array![
            [0.0, 0.0, 0.0, 0.0],
            [0.0, 1.0, 1.0, 0.0],
            [0.0, 1.0, 1.0, 0.0],
            [0.0, 0.0, 0.0, 0.0]
        ];

        // Test x-gradient with Constant border mode (default 0) to detect edges properly
        let grad_x = sobel_2d_optimized(&input.view(), 1, Some(BorderMode::Constant))
            .expect("sobel_2d_optimized should succeed for test");

        // Edges should be detected at the boundaries of the square
        // At [1, 1], there's a transition from 0 to 1, so gradient should be positive
        assert!(grad_x[[1, 1]] > 0.0);
        // At [1, 2], there's a transition from 1 to 0, so gradient should be negative
        assert!(grad_x[[1, 2]] < 0.0);
    }

    #[test]
    fn test_laplace_optimized() {
        let input = array![[0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 0.0]];

        // Test 4-connected Laplacian
        let result = laplace_2d_optimized(&input.view(), false, None)
            .expect("laplace_2d_optimized should succeed for test");

        // Center should have high response
        assert!(result[[1, 1]].abs() > 0.0);
    }

    #[test]
    fn test_gradient_magnitude() {
        let grad_x = array![[1.0, 0.0], [0.0, 1.0]];
        let grad_y = array![[0.0, 1.0], [1.0, 0.0]];

        let magnitude = gradient_magnitude_optimized(&grad_x.view(), &grad_y.view())
            .expect("gradient_magnitude_optimized should succeed for test");

        // Magnitude = sqrt(grad_x^2 + grad_y^2)
        // [0,0]: sqrt(1^2 + 0^2) = 1.0
        // [0,1]: sqrt(0^2 + 1^2) = 1.0
        // [1,0]: sqrt(0^2 + 1^2) = 1.0
        // [1,1]: sqrt(1^2 + 0^2) = 1.0
        assert!((magnitude[[0, 0]] - 1.0).abs() < 1e-6);
        assert!((magnitude[[0, 1]] - 1.0).abs() < 1e-6);
        assert!((magnitude[[1, 0]] - 1.0).abs() < 1e-6);
        assert!((magnitude[[1, 1]] - 1.0).abs() < 1e-6);
    }
}