Function tan_simd 

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

Compute the tangent of each element (SIMD-accelerated).

Computes tan(x) for each element in the array.

Arguments

• x - Input 1D array (angles in radians)

Returns

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

Performance

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

Mathematical Definition

tan(x) = sin(x) / cos(x)
Periodic with period π: tan(x + π) = tan(x)
Range: (-∞, ∞)

Examples

use scirs2_core::ndarray::array;
use scirs2_core::ndarray_ext::elementwise::tan_simd;
use std::f64::consts::PI;

let x = array![0.0_f64, PI/4.0, PI/6.0];
let result = tan_simd(&x.view());

// tan(0) = 0, tan(π/4) = 1

Edge Cases

• Empty array: Returns empty array
• Zero: tan(0) = 0
• π/2, 3π/2, …: Returns ±infinity (undefined at cos(x)=0)
• NaN: Returns NaN (preserves NaN)
• Infinity: Returns NaN (undefined for infinity)

Applications

• Computer Graphics: Perspective projection, field of view
• Navigation: Bearing calculations, angle determination
• Physics: Slope calculations, inclined planes
• Image Processing: Gradient direction, edge angles
• Surveying: Distance and height measurements

Note on Singularities

Tangent has singularities at x = π/2 + nπ where n is any integer. At these points, cos(x) = 0 and tan(x) approaches ±infinity.