forked from M-Labs/nalgebra
Fix for [a,ca]min/max methods.
Panic on empty matrices, propagate NaN, fix of wrong results, added doc tests
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f27d399a93
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136
src/base/ops.rs
136
src/base/ops.rs
@ -1,5 +1,5 @@
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use num::{One, Signed, Zero};
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use std::cmp::PartialOrd;
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use std::cmp::{PartialOrd, Ordering};
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use std::iter;
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use std::ops::{
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Add, AddAssign, Div, DivAssign, Index, IndexMut, Mul, MulAssign, Neg, Sub, SubAssign,
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@ -868,60 +868,160 @@ where
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impl<N: Scalar, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
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#[inline(always)]
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fn xcmp<N2>(&self, abs: impl Fn(N) -> N2, cmp: impl Fn(N2, N2) -> bool) -> N2
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fn xcmp<N2>(&self, abs: impl Fn(N) -> N2, ordering: Ordering) -> N2
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where N2: Scalar + PartialOrd + Zero {
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let mut max = N2::zero();
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assert!(self.len() > 0, "Empty matrix supplied to min/max function.");
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let mut iter = self.iter();
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let mut max = abs(iter.next().cloned().unwrap());
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for e in self.iter() {
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for e in iter {
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let ae = abs(*e);
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if cmp(ae, max) {
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max = ae;
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if let Some(ae_ordering) = ae.partial_cmp(&max) {
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if ae_ordering == ordering {
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max = ae;
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}
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} else {
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return ae;
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}
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}
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max
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}
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/// Returns the absolute value of the component with the largest absolute value.
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/// Returns the absolute value of the component with the largest absolute value. Propagates NaN.
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/// # Example
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/// ```
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/// # use nalgebra::Vector3;
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/// assert_eq!(Vector3::new(-1.0, 2.0, 3.0).amax(), 3.0);
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/// assert_eq!(Vector3::new(-1.0, -2.0, -3.0).amax(), 3.0);
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/// assert!(Vector3::new(1.0, std::f64::NAN, 3.0).amax().is_nan());
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/// ```
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///
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/// # Panics
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/// Panics if the matrix is empty:
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/// ```should_panic
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/// # use nalgebra::DMatrix;
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/// let min = DMatrix::<f64>::zeros(0,1).amax(); // panics!
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/// ```
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#[inline]
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pub fn amax(&self) -> N
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where N: PartialOrd + Signed {
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self.xcmp(|e| e.abs(), |a, b| a > b)
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self.xcmp(|e| e.abs(), Ordering::Greater)
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}
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/// Returns the the 1-norm of the complex component with the largest 1-norm.
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/// Returns the the 1-norm of the complex component with the largest 1-norm. Propagates NaN.
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/// # Example
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/// ```
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/// # use nalgebra::{Vector3, Complex};
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/// assert_eq!(Vector3::new(
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/// Complex::new(-3.0, -2.0),
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/// Complex::new(1.0, 2.0),
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/// Complex::new(1.0, 3.0)).camax(), 5.0);
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/// assert!(Vector3::new(
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/// Complex::new(-3.0, -2.0),
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/// Complex::new(1.0, std::f64::NAN),
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/// Complex::new(1.0, 3.0)).camax().is_nan());
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/// ```
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///
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/// # Panics
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/// Panics if the matrix is empty:
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/// ```should_panic
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/// # use nalgebra::{DMatrix, Complex};
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/// let min = DMatrix::<Complex<f64>>::zeros(0,1).camax(); // panics!
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/// ```
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#[inline]
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pub fn camax(&self) -> N::RealField
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where N: ComplexField {
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self.xcmp(|e| e.norm1(), |a, b| a > b)
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self.xcmp(|e| e.norm1(), Ordering::Greater)
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}
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/// Returns the component with the largest value.
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/// Returns the component with the largest value. Propagates NaN.
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/// # Example
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/// ```
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/// # use nalgebra::Vector3;
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/// assert_eq!(Vector3::new(-1.0, 2.0, 3.0).max(), 3.0);
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/// assert_eq!(Vector3::new(-1.0, -2.0, -3.0).max(), -1.0);
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/// assert!(Vector3::new(1.0, std::f64::NAN, 3.0).max().is_nan());
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/// ```
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///
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/// # Panics
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/// Panics if the matrix is empty:
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/// ```should_panic
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/// # use nalgebra::DMatrix;
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/// let min = DMatrix::<f64>::zeros(0,1).max(); // panics!
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/// ```
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#[inline]
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pub fn max(&self) -> N
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where N: PartialOrd + Signed {
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self.xcmp(|e| e, |a, b| a > b)
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self.xcmp(|e| e, Ordering::Greater)
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}
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/// Returns the absolute value of the component with the smallest absolute value.
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/// Returns the absolute value of the component with the smallest absolute value. Propagates NaN.
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/// # Example
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/// ```
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/// # use nalgebra::Vector3;
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/// assert_eq!(Vector3::new(-1.0, 2.0, -3.0).amin(), 1.0);
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/// assert_eq!(Vector3::new(10.0, 2.0, 30.0).amin(), 2.0);
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/// assert!(Vector3::new(-1.0, std::f64::NAN, 3.0).amin().is_nan());
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/// ```
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///
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/// # Panics
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/// Panics if the matrix is empty:
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/// ```should_panic
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/// # use nalgebra::DMatrix;
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/// let min = DMatrix::<f64>::zeros(0,1).amin(); // panics!
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/// ```
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#[inline]
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pub fn amin(&self) -> N
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where N: PartialOrd + Signed {
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self.xcmp(|e| e.abs(), |a, b| a < b)
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self.xcmp(|e| e.abs(), Ordering::Less)
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}
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/// Returns the the 1-norm of the complex component with the smallest 1-norm.
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/// Returns the the 1-norm of the complex component with the smallest 1-norm. Propagates NaN.
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/// # Example
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/// ```
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/// # use nalgebra::{Vector3, Complex};
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/// assert_eq!(Vector3::new(
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/// Complex::new(-3.0, -2.0),
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/// Complex::new(1.0, 2.0),
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/// Complex::new(1.0, 3.0)).camin(), 3.0);
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/// assert!(Vector3::new(
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/// Complex::new(-3.0, -2.0),
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/// Complex::new(1.0, std::f64::NAN),
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/// Complex::new(1.0, 3.0)).camin().is_nan());
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/// ```
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///
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/// # Panics
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/// Panics if the matrix is empty:
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/// ```should_panic
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/// # use nalgebra::{DMatrix, Complex};
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/// let min = DMatrix::<Complex<f64>>::zeros(0,1).camin(); // panics!
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/// ```
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#[inline]
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pub fn camin(&self) -> N::RealField
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where N: ComplexField {
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self.xcmp(|e| e.norm1(), |a, b| a < b)
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self.xcmp(|e| e.norm1(), Ordering::Less)
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}
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/// Returns the component with the smallest value.
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/// Returns the component with the smallest value. Propagates NaN.
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/// # Example
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/// ```
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/// # use nalgebra::Vector3;
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/// assert_eq!(Vector3::new(-1.0, 2.0, 3.0).min(), -1.0);
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/// assert_eq!(Vector3::new(1.0, 2.0, 3.0).min(), 1.0);
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/// assert!(Vector3::new(1.0, std::f64::NAN, 3.0).min().is_nan());
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/// ```
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///
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/// # Panics
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/// Panics if the matrix is empty:
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/// ```should_panic
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/// # use nalgebra::DMatrix;
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/// let min = DMatrix::<f64>::zeros(0,1).min(); // panics!
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/// ```
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#[inline]
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pub fn min(&self) -> N
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where N: PartialOrd + Signed {
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self.xcmp(|e| e, |a, b| a < b)
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self.xcmp(|e| e, Ordering::Less)
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}
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}
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