Function abs_simd 

pub fn abs_simd<F>(x: &ArrayView1<'_, F>) -> Array1<F>
where
    F: Float + SimdUnifiedOps,

Compute the absolute value of each element (SIMD-accelerated).

Computes |x| for each element in the array.

Arguments

• x - Input 1D array

Returns

Array1<F> with the same length as input, with absolute values.

Performance

• SIMD: Automatically used for large arrays (1000+ elements)
• Scalar: Used for small arrays or when SIMD unavailable
• Speedup: 2-4x for large f32 arrays on AVX2 systems

Mathematical Definition

abs(x) = |x| = {
    x   if x >= 0
    -x  if x < 0
}

Examples

use scirs2_core::ndarray::array;
use scirs2_core::ndarray_ext::elementwise::abs_simd;

let x = array![-3.0, -1.5, 0.0, 1.5, 3.0];
let result = abs_simd(&x.view());

assert_eq!(result[0], 3.0);
assert_eq!(result[1], 1.5);
assert_eq!(result[2], 0.0);
assert_eq!(result[3], 1.5);
assert_eq!(result[4], 3.0);

Edge Cases

• Empty array: Returns empty array
• Zero: Returns zero
• NaN: Returns NaN (preserves NaN)
• Infinity: Returns positive infinity

Applications

• Statistics: Absolute deviation, MAE (Mean Absolute Error)
• Signal Processing: Envelope detection, magnitude calculation
• Optimization: L1 norm computation, absolute loss functions
• Numerical Analysis: Error analysis, residual computation
• Image Processing: Gradient magnitude, difference images