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use crate::{
core::prelude::*,
errors::prelude::*,
numeric::prelude::*,
};
/// `ArrayTrait` - Array `ExpLog` functions
pub trait ArrayExpLog<N: Numeric> where Self: Sized + Clone {
/// Computes the exponential of array elements
///
/// # Examples
///
/// ```
/// use arr_rs::prelude::*;
///
/// let arr = Array::flat(vec![1., 2., 3., 4.]);
/// assert_eq!(Array::flat(vec![std::f64::consts::E, 7.38905609893065, 20.085536923187668, 54.598150033144236]), arr.exp());
/// ```
///
/// # Errors
///
/// may returns `ArrayError`
fn exp(&self) -> Result<Array<N>, ArrayError>;
/// Computes 2**element of array elements
///
/// # Examples
///
/// ```
/// use arr_rs::prelude::*;
///
/// let arr = Array::flat(vec![1., 2., 3., 4.]);
/// assert_eq!(Array::flat(vec![2., 4., 8., 16.]), arr.exp2());
/// ```
///
/// # Errors
///
/// may returns `ArrayError`
fn exp2(&self) -> Result<Array<N>, ArrayError>;
/// Computes exp - 1 of array elements
///
/// # Examples
///
/// ```
/// use arr_rs::prelude::*;
///
/// let arr = Array::flat(vec![1., 2., 3., 4.]);
/// assert_eq!(Array::flat(vec![1.718281828459045, 6.38905609893065, 19.085536923187668, 53.598150033144236]), arr.exp_m1());
/// ```
///
/// # Errors
///
/// may returns `ArrayError`
fn exp_m1(&self) -> Result<Array<N>, ArrayError>;
/// Computes natural logarithm of array elements
///
/// # Examples
///
/// ```
/// use arr_rs::prelude::*;
///
/// let arr = Array::flat(vec![1., 4., 8., 16.]);
/// assert_eq!(Array::flat(vec![0., 1.3862943611198906, 2.0794415416798357, 2.772588722239781]), arr.log());
/// ```
///
/// # Errors
///
/// may returns `ArrayError`
fn log(&self) -> Result<Array<N>, ArrayError>;
/// Computes logarithm base 2 of array elements
///
/// # Examples
///
/// ```
/// use arr_rs::prelude::*;
///
/// let arr = Array::flat(vec![1., 4., 8., 16.]);
/// assert_eq!(Array::flat(vec![0., 2., 3., 4.]), arr.log2());
/// ```
///
/// # Errors
///
/// may returns `ArrayError`
fn log2(&self) -> Result<Array<N>, ArrayError>;
/// Computes logarithm base 10 of array elements
///
/// # Examples
///
/// ```
/// use arr_rs::prelude::*;
///
/// let arr = Array::flat(vec![1., 10., 100.]);
/// assert_eq!(Array::flat(vec![0., 1., 2.]), arr.log10());
/// ```
///
/// # Errors
///
/// may returns `ArrayError`
fn log10(&self) -> Result<Array<N>, ArrayError>;
/// Computes log(1 + x) of array elements
///
/// # Examples
///
/// ```
/// use arr_rs::prelude::*;
///
/// let arr = Array::flat(vec![2., 4., 8., 20.]);
/// assert_eq!(Array::flat(vec![1.0986122886681096, 1.6094379124341003, 2.1972245773362196, 3.044522437723423]), arr.log_1p());
/// ```
///
/// # Errors
///
/// may returns `ArrayError`
fn log_1p(&self) -> Result<Array<N>, ArrayError>;
/// Computes logarithm base n of array elements
///
/// # Arguments
///
/// * `value` - log array to perform the operation with
///
/// # Examples
///
/// ```
/// use arr_rs::prelude::*;
///
/// let arr = Array::flat(vec![2., 4., 8., 20.]);
/// assert_eq!(Array::flat(vec![1., 2., 3., 1.301029995663981]), arr.logn(&Array::flat(vec![2., 2., 2., 10.]).unwrap()));
/// ```
///
/// # Errors
///
/// may returns `ArrayError`
fn logn(&self, value: &Array<N>) -> Result<Array<N>, ArrayError>;
/// Computes log(exp(x1) + exp(x2)) of array elements
///
/// # Arguments
///
/// * `value` - log array to perform the operation with
///
/// # Examples
///
/// ```
/// use arr_rs::prelude::*;
///
/// let arr_1 = Array::flat(vec![2., 4., 8., 20.]);
/// let arr_2 = Array::flat(vec![2., 2., 2., 10.]).unwrap();
/// assert_eq!(Array::flat(vec![2.6931471805599454, 4.126928011042972, 8.00247568513773, 20.000045398899218]), arr_1.log_add_exp(&arr_2));
/// ```
///
/// # Errors
///
/// may returns `ArrayError`
fn log_add_exp(&self, value: &Array<N>) -> Result<Array<N>, ArrayError>;
/// Computes log2(2**x1 + 2**x2) of array elements
///
/// # Arguments
///
/// * `value` - log array to perform the operation with
///
/// # Examples
///
/// ```
/// use arr_rs::prelude::*;
///
/// let arr_1 = Array::flat(vec![2., 4., 8., 20.]);
/// let arr_2 = Array::flat(vec![2., 2., 2., 10.]).unwrap();
/// assert_eq!(Array::flat(vec![3., 4.321928094887363, 6.087462841250339, 8.965784284662087]), arr_1.log_add_exp2(&arr_2));
/// ```
///
/// # Errors
///
/// may returns `ArrayError`
fn log_add_exp2(&self, value: &Array<N>) -> Result<Array<N>, ArrayError>;
}
impl <N: Numeric> ArrayExpLog<N> for Array<N> {
fn exp(&self) -> Result<Self, ArrayError> {
self.map(|i| N::from(i.to_f64().exp()))
}
fn exp2(&self) -> Result<Self, ArrayError> {
self.map(|i| N::from(i.to_f64().exp2()))
}
fn exp_m1(&self) -> Result<Self, ArrayError> {
self.map(|i| N::from(i.to_f64().exp_m1()))
}
fn log(&self) -> Result<Self, ArrayError> {
self.logn(&Self::single(N::from(std::f64::consts::E)).unwrap())
}
fn log2(&self) -> Result<Self, ArrayError> {
self.map(|i| N::from(i.to_f64().log2()))
}
fn log10(&self) -> Result<Self, ArrayError> {
self.map(|i| N::from(i.to_f64().log10()))
}
fn log_1p(&self) -> Result<Self, ArrayError> {
self.map(|i| N::from(i.to_f64().ln_1p()))
}
fn logn(&self, value: &Self) -> Result<Self, ArrayError> {
let broadcasted = self.broadcast(value)?;
let elements = broadcasted.clone().into_iter()
.map(|tuple| N::from(tuple.0.to_f64().log(tuple.1.to_f64())))
.collect();
Self::new(elements, broadcasted.get_shape()?)
}
fn log_add_exp(&self, value: &Self) -> Result<Self, ArrayError> {
let broadcasted = self.broadcast(value)?;
let elements = broadcasted.clone().into_iter()
.map(|tuple| N::from((tuple.0.to_f64().exp() + tuple.1.to_f64().exp()).ln()))
.collect();
Self::new(elements, broadcasted.get_shape()?)
}
fn log_add_exp2(&self, value: &Self) -> Result<Self, ArrayError> {
let broadcasted = self.broadcast(value)?;
let elements = broadcasted.clone().into_iter()
.map(|tuple| N::from(tuple.0.to_f64().mul_add(tuple.0.to_f64(), tuple.1.to_f64().powi(2)).log2()))
.collect();
Self::new(elements, broadcasted.get_shape()?)
}
}
impl <N: Numeric> ArrayExpLog<N> for Result<Array<N>, ArrayError> {
fn exp(&self) -> Self {
self.clone()?.exp()
}
fn exp2(&self) -> Self {
self.clone()?.exp2()
}
fn exp_m1(&self) -> Self {
self.clone()?.exp_m1()
}
fn log(&self) -> Self {
self.clone()?.log()
}
fn log2(&self) -> Self {
self.clone()?.log2()
}
fn log10(&self) -> Self {
self.clone()?.log10()
}
fn log_1p(&self) -> Self {
self.clone()?.log_1p()
}
fn logn(&self, value: &Array<N>) -> Self {
self.clone()?.logn(value)
}
fn log_add_exp(&self, value: &Array<N>) -> Self {
self.clone()?.log_add_exp(value)
}
fn log_add_exp2(&self, value: &Array<N>) -> Self {
self.clone()?.log_add_exp2(value)
}
}