<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Source of the Rust file `/Users/erlendbasso/.cargo/registry/src/github.com-1ecc6299db9ec823/nalgebra-0.32.1/src/base/componentwise.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>componentwise.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-1f7d512b176f0f72.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-124a1ca42af929b6.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-6827029ac823cab7.css" id="mainThemeStyle"><link rel="stylesheet" id="themeStyle" href="../../../static.files/light-ebce58d0a40c3431.css"><link rel="stylesheet" disabled href="../../../static.files/dark-f23faae4a2daf9a6.css"><link rel="stylesheet" disabled href="../../../static.files/ayu-8af5e100b21cd173.css"><script id="default-settings" ></script><script src="../../../static.files/storage-d43fa987303ecbbb.js"></script><script defer src="../../../static.files/source-script-5cf2e01a42cc9858.js"></script><script defer src="../../../source-files.js"></script><script defer src="../../../static.files/main-c55e1eb52e1886b4.js"></script><noscript><link rel="stylesheet" href="../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="icon" href="https://nalgebra.org/img/favicon.ico"></head><body class="rustdoc source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../../nalgebra/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-5ec35bf9ca753509.svg"></a></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><a href="#1" id="1">1</a>
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</pre><pre class="rust"><code><span class="comment">// Non-conventional component-wise operators.
</span><span class="kw">use </span>num::{Signed, Zero};
<span class="kw">use </span>std::ops::{Add, Mul};
<span class="kw">use </span>simba::scalar::{ClosedDiv, ClosedMul};
<span class="kw">use </span>simba::simd::SimdPartialOrd;
<span class="kw">use </span><span class="kw">crate</span>::base::allocator::{Allocator, SameShapeAllocator};
<span class="kw">use </span><span class="kw">crate</span>::base::constraint::{SameNumberOfColumns, SameNumberOfRows, ShapeConstraint};
<span class="kw">use </span><span class="kw">crate</span>::base::dimension::Dim;
<span class="kw">use </span><span class="kw">crate</span>::base::storage::{Storage, StorageMut};
<span class="kw">use </span><span class="kw">crate</span>::base::{DefaultAllocator, Matrix, MatrixSum, OMatrix, Scalar};
<span class="kw">use </span><span class="kw">crate</span>::ClosedAdd;
<span class="doccomment">/// The type of the result of a matrix component-wise operation.
</span><span class="kw">pub type </span>MatrixComponentOp<T, R1, C1, R2, C2> = MatrixSum<T, R1, C1, R2, C2>;
<span class="kw">impl</span><T: Scalar, R: Dim, C: Dim, S: Storage<T, R, C>> Matrix<T, R, C, S> {
<span class="doccomment">/// Computes the component-wise absolute value.
///
/// # Example
///
/// ```
/// # use nalgebra::Matrix2;
/// let a = Matrix2::new(0.0, 1.0,
/// -2.0, -3.0);
/// assert_eq!(a.abs(), Matrix2::new(0.0, 1.0, 2.0, 3.0))
/// ```
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub fn </span>abs(<span class="kw-2">&</span><span class="self">self</span>) -> OMatrix<T, R, C>
<span class="kw">where
</span>T: Signed,
DefaultAllocator: Allocator<T, R, C>,
{
<span class="kw">let </span><span class="kw-2">mut </span>res = <span class="self">self</span>.clone_owned();
<span class="kw">for </span>e <span class="kw">in </span>res.iter_mut() {
<span class="kw-2">*</span>e = e.abs();
}
res
}
<span class="comment">// TODO: add other operators like component_ln, component_pow, etc. ?
</span>}
<span class="macro">macro_rules! </span>component_binop_impl(
($(<span class="macro-nonterminal">$binop</span>: ident, <span class="macro-nonterminal">$binop_mut</span>: ident, <span class="macro-nonterminal">$binop_assign</span>: ident, <span class="macro-nonterminal">$cmpy</span>: ident, <span class="macro-nonterminal">$Trait</span>: ident . <span class="macro-nonterminal">$op</span>: ident . <span class="macro-nonterminal">$op_assign</span>: ident, <span class="macro-nonterminal">$desc</span>:expr, <span class="macro-nonterminal">$desc_cmpy</span>:expr, <span class="macro-nonterminal">$desc_mut</span>:expr);* $(;)<span class="kw-2">*</span>) => {$(
<span class="attr">#[doc = <span class="macro-nonterminal">$desc</span>]
#[inline]
#[must_use]
</span><span class="kw">pub fn </span><span class="macro-nonterminal">$binop</span><R2, C2, SB>(<span class="kw-2">&</span><span class="self">self</span>, rhs: <span class="kw-2">&</span>Matrix<T, R2, C2, SB>) -> MatrixComponentOp<T, R1, C1, R2, C2>
<span class="kw">where </span>T: <span class="macro-nonterminal">$Trait</span>,
R2: Dim, C2: Dim,
SB: Storage<T, R2, C2>,
DefaultAllocator: SameShapeAllocator<T, R1, C1, R2, C2>,
ShapeConstraint: SameNumberOfRows<R1, R2> + SameNumberOfColumns<C1, C2> {
<span class="macro">assert_eq!</span>(<span class="self">self</span>.shape(), rhs.shape(), <span class="string">"Componentwise mul/div: mismatched matrix dimensions."</span>);
<span class="kw">let </span><span class="kw-2">mut </span>res = <span class="self">self</span>.clone_owned_sum();
<span class="kw">for </span>j <span class="kw">in </span><span class="number">0 </span>.. res.ncols() {
<span class="kw">for </span>i <span class="kw">in </span><span class="number">0 </span>.. res.nrows() {
<span class="kw">unsafe </span>{
res.get_unchecked_mut((i, j)).<span class="macro-nonterminal">$op_assign</span>(rhs.get_unchecked((i, j)).clone());
}
}
}
res
}
<span class="comment">// componentwise binop plus Y.
</span><span class="attr">#[doc = <span class="macro-nonterminal">$desc_cmpy</span>]
#[inline]
</span><span class="kw">pub fn </span><span class="macro-nonterminal">$cmpy</span><R2, C2, SB, R3, C3, SC>(<span class="kw-2">&mut </span><span class="self">self</span>, alpha: T, a: <span class="kw-2">&</span>Matrix<T, R2, C2, SB>, b: <span class="kw-2">&</span>Matrix<T, R3, C3, SC>, beta: T)
<span class="kw">where </span>T: <span class="macro-nonterminal">$Trait </span>+ Zero + Mul<T, Output = T> + Add<T, Output = T>,
R2: Dim, C2: Dim,
R3: Dim, C3: Dim,
SA: StorageMut<T, R1, C1>,
SB: Storage<T, R2, C2>,
SC: Storage<T, R3, C3>,
ShapeConstraint: SameNumberOfRows<R1, R2> + SameNumberOfColumns<C1, C2> +
SameNumberOfRows<R1, R3> + SameNumberOfColumns<C1, C3> {
<span class="macro">assert_eq!</span>(<span class="self">self</span>.shape(), a.shape(), <span class="string">"Componentwise mul/div: mismatched matrix dimensions."</span>);
<span class="macro">assert_eq!</span>(<span class="self">self</span>.shape(), b.shape(), <span class="string">"Componentwise mul/div: mismatched matrix dimensions."</span>);
<span class="kw">if </span>beta.is_zero() {
<span class="kw">for </span>j <span class="kw">in </span><span class="number">0 </span>.. <span class="self">self</span>.ncols() {
<span class="kw">for </span>i <span class="kw">in </span><span class="number">0 </span>.. <span class="self">self</span>.nrows() {
<span class="kw">unsafe </span>{
<span class="kw">let </span>res = alpha.clone() * a.get_unchecked((i, j)).clone().<span class="macro-nonterminal">$op</span>(b.get_unchecked((i, j)).clone());
<span class="kw-2">*</span><span class="self">self</span>.get_unchecked_mut((i, j)) = res;
}
}
}
}
<span class="kw">else </span>{
<span class="kw">for </span>j <span class="kw">in </span><span class="number">0 </span>.. <span class="self">self</span>.ncols() {
<span class="kw">for </span>i <span class="kw">in </span><span class="number">0 </span>.. <span class="self">self</span>.nrows() {
<span class="kw">unsafe </span>{
<span class="kw">let </span>res = alpha.clone() * a.get_unchecked((i, j)).clone().<span class="macro-nonterminal">$op</span>(b.get_unchecked((i, j)).clone());
<span class="kw-2">*</span><span class="self">self</span>.get_unchecked_mut((i, j)) = beta.clone() * <span class="self">self</span>.get_unchecked((i, j)).clone() + res;
}
}
}
}
}
<span class="attr">#[doc = <span class="macro-nonterminal">$desc_mut</span>]
#[inline]
</span><span class="kw">pub fn </span><span class="macro-nonterminal">$binop_assign</span><R2, C2, SB>(<span class="kw-2">&mut </span><span class="self">self</span>, rhs: <span class="kw-2">&</span>Matrix<T, R2, C2, SB>)
<span class="kw">where </span>T: <span class="macro-nonterminal">$Trait</span>,
R2: Dim,
C2: Dim,
SA: StorageMut<T, R1, C1>,
SB: Storage<T, R2, C2>,
ShapeConstraint: SameNumberOfRows<R1, R2> + SameNumberOfColumns<C1, C2> {
<span class="macro">assert_eq!</span>(<span class="self">self</span>.shape(), rhs.shape(), <span class="string">"Componentwise mul/div: mismatched matrix dimensions."</span>);
<span class="kw">for </span>j <span class="kw">in </span><span class="number">0 </span>.. <span class="self">self</span>.ncols() {
<span class="kw">for </span>i <span class="kw">in </span><span class="number">0 </span>.. <span class="self">self</span>.nrows() {
<span class="kw">unsafe </span>{
<span class="self">self</span>.get_unchecked_mut((i, j)).<span class="macro-nonterminal">$op_assign</span>(rhs.get_unchecked((i, j)).clone());
}
}
}
}
<span class="attr">#[doc = <span class="macro-nonterminal">$desc_mut</span>]
#[inline]
#[deprecated(note = <span class="string">"This is renamed using the `_assign` suffix instead of the `_mut` suffix."</span>)]
</span><span class="kw">pub fn </span><span class="macro-nonterminal">$binop_mut</span><R2, C2, SB>(<span class="kw-2">&mut </span><span class="self">self</span>, rhs: <span class="kw-2">&</span>Matrix<T, R2, C2, SB>)
<span class="kw">where </span>T: <span class="macro-nonterminal">$Trait</span>,
R2: Dim,
C2: Dim,
SA: StorageMut<T, R1, C1>,
SB: Storage<T, R2, C2>,
ShapeConstraint: SameNumberOfRows<R1, R2> + SameNumberOfColumns<C1, C2> {
<span class="self">self</span>.<span class="macro-nonterminal">$binop_assign</span>(rhs)
}
)<span class="kw-2">*</span>}
);
<span class="doccomment">/// # Componentwise operations
</span><span class="kw">impl</span><T: Scalar, R1: Dim, C1: Dim, SA: Storage<T, R1, C1>> Matrix<T, R1, C1, SA> {
<span class="macro">component_binop_impl!</span>(
component_mul, component_mul_mut, component_mul_assign, cmpy, ClosedMul.mul.mul_assign,
<span class="string">r"
Componentwise matrix or vector multiplication.
# Example
```
# use nalgebra::Matrix2;
let a = Matrix2::new(0.0, 1.0, 2.0, 3.0);
let b = Matrix2::new(4.0, 5.0, 6.0, 7.0);
let expected = Matrix2::new(0.0, 5.0, 12.0, 21.0);
assert_eq!(a.component_mul(&b), expected);
```
"</span>,
<span class="string">r"
Computes componentwise `self[i] = alpha * a[i] * b[i] + beta * self[i]`.
# Example
```
# use nalgebra::Matrix2;
let mut m = Matrix2::new(0.0, 1.0, 2.0, 3.0);
let a = Matrix2::new(0.0, 1.0, 2.0, 3.0);
let b = Matrix2::new(4.0, 5.0, 6.0, 7.0);
let expected = (a.component_mul(&b) * 5.0) + m * 10.0;
m.cmpy(5.0, &a, &b, 10.0);
assert_eq!(m, expected);
```
"</span>,
<span class="string">r"
Inplace componentwise matrix or vector multiplication.
# Example
```
# use nalgebra::Matrix2;
let mut a = Matrix2::new(0.0, 1.0, 2.0, 3.0);
let b = Matrix2::new(4.0, 5.0, 6.0, 7.0);
let expected = Matrix2::new(0.0, 5.0, 12.0, 21.0);
a.component_mul_assign(&b);
assert_eq!(a, expected);
```
"</span>;
component_div, component_div_mut, component_div_assign, cdpy, ClosedDiv.div.div_assign,
<span class="string">r"
Componentwise matrix or vector division.
# Example
```
# use nalgebra::Matrix2;
let a = Matrix2::new(0.0, 1.0, 2.0, 3.0);
let b = Matrix2::new(4.0, 5.0, 6.0, 7.0);
let expected = Matrix2::new(0.0, 1.0 / 5.0, 2.0 / 6.0, 3.0 / 7.0);
assert_eq!(a.component_div(&b), expected);
```
"</span>,
<span class="string">r"
Computes componentwise `self[i] = alpha * a[i] / b[i] + beta * self[i]`.
# Example
```
# use nalgebra::Matrix2;
let mut m = Matrix2::new(0.0, 1.0, 2.0, 3.0);
let a = Matrix2::new(4.0, 5.0, 6.0, 7.0);
let b = Matrix2::new(4.0, 5.0, 6.0, 7.0);
let expected = (a.component_div(&b) * 5.0) + m * 10.0;
m.cdpy(5.0, &a, &b, 10.0);
assert_eq!(m, expected);
```
"</span>,
<span class="string">r"
Inplace componentwise matrix or vector division.
# Example
```
# use nalgebra::Matrix2;
let mut a = Matrix2::new(0.0, 1.0, 2.0, 3.0);
let b = Matrix2::new(4.0, 5.0, 6.0, 7.0);
let expected = Matrix2::new(0.0, 1.0 / 5.0, 2.0 / 6.0, 3.0 / 7.0);
a.component_div_assign(&b);
assert_eq!(a, expected);
```
"</span>;
<span class="comment">// TODO: add other operators like bitshift, etc. ?
</span>);
<span class="doccomment">/// Computes the infimum (aka. componentwise min) of two matrices/vectors.
///
/// # Example
///
/// ```
/// # use nalgebra::Matrix2;
/// let u = Matrix2::new(4.0, 2.0, 1.0, -2.0);
/// let v = Matrix2::new(2.0, 4.0, -2.0, 1.0);
/// let expected = Matrix2::new(2.0, 2.0, -2.0, -2.0);
/// assert_eq!(u.inf(&v), expected)
/// ```
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub fn </span>inf(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>) -> OMatrix<T, R1, C1>
<span class="kw">where
</span>T: SimdPartialOrd,
DefaultAllocator: Allocator<T, R1, C1>,
{
<span class="self">self</span>.zip_map(other, |a, b| a.simd_min(b))
}
<span class="doccomment">/// Computes the supremum (aka. componentwise max) of two matrices/vectors.
///
/// # Example
///
/// ```
/// # use nalgebra::Matrix2;
/// let u = Matrix2::new(4.0, 2.0, 1.0, -2.0);
/// let v = Matrix2::new(2.0, 4.0, -2.0, 1.0);
/// let expected = Matrix2::new(4.0, 4.0, 1.0, 1.0);
/// assert_eq!(u.sup(&v), expected)
/// ```
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub fn </span>sup(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>) -> OMatrix<T, R1, C1>
<span class="kw">where
</span>T: SimdPartialOrd,
DefaultAllocator: Allocator<T, R1, C1>,
{
<span class="self">self</span>.zip_map(other, |a, b| a.simd_max(b))
}
<span class="doccomment">/// Computes the (infimum, supremum) of two matrices/vectors.
///
/// # Example
///
/// ```
/// # use nalgebra::Matrix2;
/// let u = Matrix2::new(4.0, 2.0, 1.0, -2.0);
/// let v = Matrix2::new(2.0, 4.0, -2.0, 1.0);
/// let expected = (Matrix2::new(2.0, 2.0, -2.0, -2.0), Matrix2::new(4.0, 4.0, 1.0, 1.0));
/// assert_eq!(u.inf_sup(&v), expected)
/// ```
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub fn </span>inf_sup(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>) -> (OMatrix<T, R1, C1>, OMatrix<T, R1, C1>)
<span class="kw">where
</span>T: SimdPartialOrd,
DefaultAllocator: Allocator<T, R1, C1>,
{
<span class="comment">// TODO: can this be optimized?
</span>(<span class="self">self</span>.inf(other), <span class="self">self</span>.sup(other))
}
<span class="doccomment">/// Adds a scalar to `self`.
///
/// # Example
///
/// ```
/// # use nalgebra::Matrix2;
/// let u = Matrix2::new(1.0, 2.0, 3.0, 4.0);
/// let s = 10.0;
/// let expected = Matrix2::new(11.0, 12.0, 13.0, 14.0);
/// assert_eq!(u.add_scalar(s), expected)
/// ```
</span><span class="attr">#[inline]
#[must_use = <span class="string">"Did you mean to use add_scalar_mut()?"</span>]
</span><span class="kw">pub fn </span>add_scalar(<span class="kw-2">&</span><span class="self">self</span>, rhs: T) -> OMatrix<T, R1, C1>
<span class="kw">where
</span>T: ClosedAdd,
DefaultAllocator: Allocator<T, R1, C1>,
{
<span class="kw">let </span><span class="kw-2">mut </span>res = <span class="self">self</span>.clone_owned();
res.add_scalar_mut(rhs);
res
}
<span class="doccomment">/// Adds a scalar to `self` in-place.
///
/// # Example
///
/// ```
/// # use nalgebra::Matrix2;
/// let mut u = Matrix2::new(1.0, 2.0, 3.0, 4.0);
/// let s = 10.0;
/// u.add_scalar_mut(s);
/// let expected = Matrix2::new(11.0, 12.0, 13.0, 14.0);
/// assert_eq!(u, expected)
/// ```
</span><span class="attr">#[inline]
</span><span class="kw">pub fn </span>add_scalar_mut(<span class="kw-2">&mut </span><span class="self">self</span>, rhs: T)
<span class="kw">where
</span>T: ClosedAdd,
SA: StorageMut<T, R1, C1>,
{
<span class="kw">for </span>e <span class="kw">in </span><span class="self">self</span>.iter_mut() {
<span class="kw-2">*</span>e += rhs.clone()
}
}
}
</code></pre></div>
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