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//! Exponential and logarithmic functions: `exp`, `ln`, `log2`, `log10`
use crate::backends::VectorBackend;
use crate::vector::Vector;
use crate::{dispatch_unary_op, Result};
impl Vector<f32> {
/// Element-wise exponential: result\[i\] = e^x\[i\]
///
/// Computes the natural exponential (e^x) for each element.
/// Uses Rust's optimized f32::exp() method.
///
/// # Examples
///
/// ```
/// # fn main() -> Result<(), Box<dyn std::error::Error>> {
/// use trueno::Vector;
///
/// let v = Vector::from_slice(&[0.0, 1.0, 2.0]);
/// let result = v.exp()?;
/// // result ≈ [1.0, 2.718, 7.389]
/// # Ok(())
/// # }
/// ```
///
/// # Special Cases
///
/// - `exp(0.0)` returns 1.0
/// - `exp(1.0)` returns e ≈ 2.71828
/// - `exp(-∞)` returns 0.0
/// - `exp(+∞)` returns +∞
///
/// # Applications
///
/// - Machine learning: Softmax activation, sigmoid, exponential loss
/// - Statistics: Exponential distribution, log-normal distribution
/// - Physics: Radioactive decay, population growth models
/// - Signal processing: Exponential smoothing, envelope detection
/// - Numerical methods: Solving differential equations
pub fn exp(&self) -> Result<Vector<f32>> {
let mut result_data = vec![0.0; self.len()];
if !self.data.is_empty() {
// Use parallel processing for large arrays
#[cfg(feature = "parallel")]
{
const PARALLEL_THRESHOLD: usize = 100_000;
const CHUNK_SIZE: usize = 65536;
if self.len() >= PARALLEL_THRESHOLD {
use rayon::prelude::*;
self.data
.par_chunks(CHUNK_SIZE)
.zip(result_data.par_chunks_mut(CHUNK_SIZE))
.for_each(|(chunk_in, chunk_out)| {
dispatch_unary_op!(self.backend, exp, chunk_in, chunk_out);
});
return Ok(Vector { data: result_data, backend: self.backend });
}
}
dispatch_unary_op!(self.backend, exp, &self.data, &mut result_data);
}
Ok(Vector { data: result_data, backend: self.backend })
}
/// Element-wise natural logarithm: result\[i\] = ln(x\[i\])
///
/// Computes the natural logarithm (base e) for each element.
/// Uses Rust's optimized f32::ln() method.
///
/// # Examples
///
/// ```
/// # fn main() -> Result<(), Box<dyn std::error::Error>> {
/// use trueno::Vector;
///
/// let v = Vector::from_slice(&[1.0, std::f32::consts::E, std::f32::consts::E.powi(2)]);
/// let result = v.ln()?;
/// // result ≈ [0.0, 1.0, 2.0]
/// # Ok(())
/// # }
/// ```
///
/// # Special Cases
///
/// - `ln(1.0)` returns 0.0
/// - `ln(e)` returns 1.0
/// - `ln(x)` for x ≤ 0 returns NaN
/// - `ln(0.0)` returns -∞
/// - `ln(+∞)` returns +∞
///
/// # Applications
///
/// - Machine learning: Log loss, log-likelihood, softmax normalization
/// - Statistics: Log-normal distribution, log transformation for skewed data
/// - Information theory: Entropy calculation, mutual information
/// - Economics: Log returns, elasticity calculations
/// - Signal processing: Decibel conversion, log-frequency analysis
pub fn ln(&self) -> Result<Vector<f32>> {
let mut result_data = vec![0.0; self.len()];
if !self.data.is_empty() {
dispatch_unary_op!(self.backend, ln, &self.data, &mut result_data);
}
Ok(Vector { data: result_data, backend: self.backend })
}
/// Element-wise base-2 logarithm: result\[i\] = log₂(x\[i\])
///
/// Computes the base-2 logarithm for each element.
/// Uses Rust's optimized f32::log2() method.
///
/// # Examples
///
/// ```
/// # fn main() -> Result<(), Box<dyn std::error::Error>> {
/// use trueno::Vector;
///
/// let v = Vector::from_slice(&[1.0, 2.0, 4.0, 8.0]);
/// let result = v.log2()?;
/// // result ≈ [0.0, 1.0, 2.0, 3.0]
/// # Ok(())
/// # }
/// ```
///
/// # Special Cases
///
/// - `log2(1.0)` returns 0.0
/// - `log2(2.0)` returns 1.0
/// - `log2(x)` for x ≤ 0 returns NaN
/// - `log2(0.0)` returns -∞
/// - `log2(+∞)` returns +∞
///
/// # Applications
///
/// - Information theory: Entropy in bits, mutual information
/// - Computer science: Bit manipulation, binary search complexity
/// - Audio: Octave calculations, pitch detection
/// - Data compression: Huffman coding, arithmetic coding
pub fn log2(&self) -> Result<Vector<f32>> {
let mut result_data = vec![0.0; self.len()];
if !self.data.is_empty() {
dispatch_unary_op!(self.backend, log2, &self.data, &mut result_data);
}
Ok(Vector { data: result_data, backend: self.backend })
}
/// Element-wise base-10 logarithm: result\[i\] = log₁₀(x\[i\])
///
/// Computes the base-10 (common) logarithm for each element.
/// Uses Rust's optimized f32::log10() method.
///
/// # Examples
///
/// ```
/// # fn main() -> Result<(), Box<dyn std::error::Error>> {
/// use trueno::Vector;
///
/// let v = Vector::from_slice(&[1.0, 10.0, 100.0, 1000.0]);
/// let result = v.log10()?;
/// // result ≈ [0.0, 1.0, 2.0, 3.0]
/// # Ok(())
/// # }
/// ```
///
/// # Special Cases
///
/// - `log10(1.0)` returns 0.0
/// - `log10(10.0)` returns 1.0
/// - `log10(x)` for x ≤ 0 returns NaN
/// - `log10(0.0)` returns -∞
/// - `log10(+∞)` returns +∞
///
/// # Applications
///
/// - Audio: Decibel calculations (dB = 20 * log10(amplitude))
/// - Chemistry: pH calculations (-log10(H+ concentration))
/// - Seismology: Richter scale
/// - Scientific notation: Order of magnitude calculations
pub fn log10(&self) -> Result<Vector<f32>> {
let mut result_data = vec![0.0; self.len()];
if !self.data.is_empty() {
dispatch_unary_op!(self.backend, log10, &self.data, &mut result_data);
}
Ok(Vector { data: result_data, backend: self.backend })
}
}