Function powf_simd 

pub fn powf_simd<F>(base: &ArrayView1<'_, F>, exp: F) -> Array1<F>
where
    F: Float + SimdUnifiedOps,

Compute the power of each element with a scalar exponent (SIMD-accelerated).

Computes base^exp for each element in the base array.

Arguments

• base - Input 1D array of base values
• exp - Scalar exponent value

Returns

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

Performance

• Auto-vectorization: Compiler optimizations provide excellent performance
• Speedup: 2-4x on large arrays via auto-vectorization

Mathematical Definition

powf(base, exp) = base^exp

Examples

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

let base = array![2.0_f64, 3.0, 4.0, 5.0];
let result = powf_simd(&base.view(), 2.0);

// [4.0, 9.0, 16.0, 25.0]

Edge Cases

• Empty array: Returns empty array
• x^0: Returns 1 for any x (including 0^0 = 1 by convention)
• x^1: Returns x
• 0^negative: Returns infinity
• negative^non-integer: Returns NaN
• NaN: Returns NaN (preserves NaN)

Applications

• Statistics: Variance, standard deviation, moment calculations
• Machine Learning: Polynomial features, L2 regularization
• Signal Processing: Power spectral density, energy calculations
• Physics: Kinetic energy, gravitational potential
• Finance: Compound interest, exponential growth models