glam_det 2.0.0

// Copyright (C) 2020-2025 glam-det authors. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//     http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

// Generated from mat.rs.tera template. Edit the template, not the generated file.

use crate::Mat2;
use crate::{swizzles::*, DMat3, DVec2, UnitDVec2};

use auto_ops_det::{impl_op_ex, impl_op_ex_commutative};
#[cfg(not(target_arch = "spirv"))]
use core::fmt;
use core::iter::{Product, Sum};
use core::ops::{self, Add, Mul, Neg, Sub};

use crate::nums::*;

/// Creates a 2x2 matrix from column vectors.
#[inline]
pub const fn dmat2(x_axis: DVec2, y_axis: DVec2) -> DMat2 {
    DMat2::from_cols(x_axis, y_axis)
}

/// A 2x2 column major matrix.
#[derive(Clone, Copy)]
#[cfg_attr(feature = "cuda", repr(align(16)))]
#[repr(C)]
pub struct DMat2 {
    pub x_axis: DVec2,
    pub y_axis: DVec2,
}

impl DMat2 {
    /// A 2x2 matrix with all elements set to `0.0`.
    pub const ZERO: Self = Self::from_cols(DVec2::ZERO, DVec2::ZERO);

    /// A 2x2 identity matrix, where all diagonal elements are `1`, and all off-diagonal elements are `0`.
    pub const IDENTITY: Self = Self::from_cols(DVec2::X, DVec2::Y);

    /// All NAN:s.
    pub const NAN: Self = Self::from_cols(DVec2::NAN, DVec2::NAN);

    #[allow(clippy::too_many_arguments)]
    #[inline]
    const fn new(m00: f64, m01: f64, m10: f64, m11: f64) -> Self {
        Self {
            x_axis: DVec2::new(m00, m01),
            y_axis: DVec2::new(m10, m11),
        }
    }

    /// Creates a 2x2 matrix from two column vectors.
    #[inline]
    pub const fn from_cols(x_axis: DVec2, y_axis: DVec2) -> Self {
        Self { x_axis, y_axis }
    }

    /// Creates a 2x2 matrix from a `[f64; 4]` array stored in column major order.
    /// If your data is stored in row major you will need to `transpose` the returned
    /// matrix.
    #[inline]
    pub const fn from_cols_array(m: &[f64; 4]) -> Self {
        Self::new(m[0], m[1], m[2], m[3])
    }

    /// Creates a `[f64; 4]` array storing data in column major order.
    /// If you require data in row major order `transpose` the matrix first.
    #[inline]
    pub fn to_cols_array(&self) -> [f64; 4] {
        [self.x_axis.x, self.x_axis.y, self.y_axis.x, self.y_axis.y]
    }

    /// Creates a 2x2 matrix from a `[[f64; 2]; 2]` 2D array stored in column major order.
    /// If your data is in row major order you will need to `transpose` the returned
    /// matrix.
    #[inline]
    pub const fn from_cols_array_2d(m: &[[f64; 2]; 2]) -> Self {
        Self::from_cols(DVec2::from_array(m[0]), DVec2::from_array(m[1]))
    }

    /// Creates a `[[f64; 2]; 2]` 2D array storing data in column major order.
    /// If you require data in row major order `transpose` the matrix first.
    #[inline]
    pub fn to_cols_array_2d(&self) -> [[f64; 2]; 2] {
        [self.x_axis.to_array(), self.y_axis.to_array()]
    }

    /// Creates a 2x2 matrix with its diagonal set to `diagonal` and all other entries set to 0.
    #[doc(alias = "scale")]
    #[inline]
    pub fn from_diagonal(diagonal: DVec2) -> Self {
        Self::new(diagonal.x, 0.0, 0.0, diagonal.y)
    }

    /// Creates a 2x2 matrix containing the combining non-uniform `scale` and rotation of
    /// `angle` (in radians).
    #[inline]
    pub fn from_scale_angle(scale: DVec2, angle: f64) -> Self {
        let (sin, cos) = angle.sin_cosf();
        Self::new(cos * scale.x, sin * scale.x, -sin * scale.y, cos * scale.y)
    }

    /// Creates a 2x2 matrix containing a rotation of `angle` (in radians).
    #[inline]
    pub fn from_angle(angle: f64) -> Self {
        let (sin, cos) = angle.sin_cosf();
        Self::new(cos, sin, -sin, cos)
    }

    /// Creates a 2x2 matrix from a 3x3 matrix, discarding the 2nd row and column.
    #[inline]
    pub fn from_mat3(m: DMat3) -> Self {
        Self::from_cols(m.x_axis.xy(), m.y_axis.xy())
    }

    /// Creates a 2x2 matrix from the first 4 values in `slice`.
    ///
    /// # Panics
    ///
    /// Panics if `slice` is less than 4 elements long.
    #[inline]
    pub const fn from_cols_slice(slice: &[f64]) -> Self {
        Self::new(slice[0], slice[1], slice[2], slice[3])
    }

    /// Writes the columns of `self` to the first 4 elements in `slice`.
    ///
    /// # Panics
    ///
    /// Panics if `slice` is less than 4 elements long.
    #[inline]
    pub fn write_cols_to_slice(self, slice: &mut [f64]) {
        slice[0] = self.x_axis.x;
        slice[1] = self.x_axis.y;
        slice[2] = self.y_axis.x;
        slice[3] = self.y_axis.y;
    }

    /// Returns the matrix column for the given `index`.
    ///
    /// # Panics
    ///
    /// Panics if `index` is greater than 1.
    #[inline]
    pub fn col(&self, index: usize) -> DVec2 {
        match index {
            0 => self.x_axis,
            1 => self.y_axis,
            _ => panic!("index out of bounds"),
        }
    }

    /// Returns a mutable reference to the matrix column for the given `index`.
    ///
    /// # Panics
    ///
    /// Panics if `index` is greater than 1.
    #[inline]
    pub fn col_mut(&mut self, index: usize) -> &mut DVec2 {
        match index {
            0 => &mut self.x_axis,
            1 => &mut self.y_axis,
            _ => panic!("index out of bounds"),
        }
    }

    /// Returns the matrix row for the given `index`.
    ///
    /// # Panics
    ///
    /// Panics if `index` is greater than 1.
    #[inline]
    pub fn row(&self, index: usize) -> DVec2 {
        match index {
            0 => DVec2::new(self.x_axis.x, self.y_axis.x),
            1 => DVec2::new(self.x_axis.y, self.y_axis.y),
            _ => panic!("index out of bounds"),
        }
    }

    /// Returns `true` if, and only if, all elements are finite.
    /// If any element is either `NaN`, positive or negative infinity, this will return `false`.
    #[inline]
    pub fn is_finite(&self) -> bool {
        self.x_axis.is_finite() && self.y_axis.is_finite()
    }

    /// Returns `true` if any elements are `NaN`.
    #[inline]
    pub fn is_nan(&self) -> bool {
        self.x_axis.is_nan() || self.y_axis.is_nan()
    }

    /// Returns the transpose of `self`.
    #[must_use]
    #[inline]
    pub fn transpose(&self) -> Self {
        Self {
            x_axis: DVec2::new(self.x_axis.x, self.y_axis.x),
            y_axis: DVec2::new(self.x_axis.y, self.y_axis.y),
        }
    }

    /// Returns the determinant of `self`.
    #[inline]
    pub fn determinant(&self) -> f64 {
        self.x_axis.x * self.y_axis.y - self.x_axis.y * self.y_axis.x
    }

    /// Returns the inverse of `self`.
    ///
    /// If the matrix is not invertible the returned matrix will be invalid.
    ///
    /// # Panics
    ///
    /// Will panic if the determinant of `self` is zero when `glam_assert` is enabled.
    #[must_use]
    #[inline]
    pub fn inverse(&self) -> Self {
        let inv_det = {
            let det = self.determinant();
            glam_assert!(det != 0.0);
            det.recip()
        };
        Self::new(
            self.y_axis.y * inv_det,
            self.x_axis.y * -inv_det,
            self.y_axis.x * -inv_det,
            self.x_axis.x * inv_det,
        )
    }

    /// Transforms a 2D vector.
    #[inline]
    pub fn mul_vec2(&self, rhs: DVec2) -> DVec2 {
        #[allow(clippy::suspicious_operation_groupings)]
        DVec2::new(
            (self.x_axis.x * rhs.x) + (self.y_axis.x * rhs.y),
            (self.x_axis.y * rhs.x) + (self.y_axis.y * rhs.y),
        )
    }

    /// Multiplies two 2x2 matrices.
    #[inline]
    pub fn mul_mat2(&self, rhs: &Self) -> Self {
        Self::from_cols(self.mul(rhs.x_axis), self.mul(rhs.y_axis))
    }

    /// Adds two 2x2 matrices.
    #[inline]
    pub fn add_mat2(&self, rhs: &Self) -> Self {
        Self::from_cols(self.x_axis.add(rhs.x_axis), self.y_axis.add(rhs.y_axis))
    }

    /// Subtracts two 2x2 matrices.
    #[inline]
    pub fn sub_mat2(&self, rhs: &Self) -> Self {
        Self::from_cols(self.x_axis.sub(rhs.x_axis), self.y_axis.sub(rhs.y_axis))
    }

    /// Multiplies a 2x2 matrix by a scalar.
    #[inline]
    pub fn mul_scalar(&self, rhs: f64) -> Self {
        Self::from_cols(self.x_axis.mul(rhs), self.y_axis.mul(rhs))
    }

    /// Returns true if the absolute difference of all elements between `self` and `rhs`
    /// is less than or equal to `max_abs_diff`.
    ///
    /// This can be used to compare if two matrices contain similar elements. It works best
    /// when comparing with a known value. The `max_abs_diff` that should be used used
    /// depends on the values being compared against.
    ///
    /// For more see
    /// [comparing floating point numbers](https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/).
    #[inline]
    pub fn abs_diff_eq(&self, rhs: Self, max_abs_diff: f64) -> bool {
        self.x_axis.abs_diff_eq(rhs.x_axis, max_abs_diff)
            && self.y_axis.abs_diff_eq(rhs.y_axis, max_abs_diff)
    }

    #[inline]
    pub fn as_mat2(&self) -> Mat2 {
        Mat2::from_cols(self.x_axis.as_vec2(), self.y_axis.as_vec2())
    }
}

impl Default for DMat2 {
    #[inline]
    fn default() -> Self {
        Self::IDENTITY
    }
}

impl_op_ex!(+ |a: &DMat2, b:&DMat2| -> DMat2 { a.add_mat2(b) });
impl_op_ex!(+= |a: &mut DMat2, b:&DMat2| { *a = a.add_mat2(b); });

impl_op_ex!(-|a: &DMat2, b: &DMat2| -> DMat2 { a.sub_mat2(b) });
impl_op_ex!(-= |a: &mut DMat2, b:&DMat2| { *a = a.sub_mat2(b); });

impl Neg for DMat2 {
    type Output = Self;
    #[inline]
    fn neg(self) -> Self::Output {
        Self::from_cols(self.x_axis.neg(), self.y_axis.neg())
    }
}

impl_op_ex!(*|a: &DMat2, b: &DMat2| -> DMat2 { a.mul_mat2(b) });
impl_op_ex!(*= |a: &mut DMat2, b:&DMat2| { *a = a.mul_mat2(b); });

impl_op_ex!(*|a: &DMat2, b: &DVec2| -> DVec2 { a.mul_vec2(*b) });

impl_op_ex!(*|a: &DMat2, b: &UnitDVec2| -> DVec2 { a * b.as_dvec2() });

impl_op_ex_commutative!(*|a: &DMat2, b: f64| -> DMat2 { a.mul_scalar(b) });
impl_op_ex!(*= |a: &mut DMat2, b:f64| { *a = a.mul_scalar(b); });

impl<'a> Sum<&'a Self> for DMat2 {
    fn sum<I>(iter: I) -> Self
    where
        I: Iterator<Item = &'a Self>,
    {
        iter.fold(Self::ZERO, |a, &b| Self::add(a, b))
    }
}

impl<'a> Product<&'a Self> for DMat2 {
    fn product<I>(iter: I) -> Self
    where
        I: Iterator<Item = &'a Self>,
    {
        iter.fold(Self::IDENTITY, |a, &b| Self::mul(a, b))
    }
}

impl PartialEq for DMat2 {
    #[inline]
    fn eq(&self, rhs: &Self) -> bool {
        self.x_axis.eq(&rhs.x_axis) && self.y_axis.eq(&rhs.y_axis)
    }
}

#[cfg(not(target_arch = "spirv"))]
impl AsRef<[f64; 4]> for DMat2 {
    #[inline]
    fn as_ref(&self) -> &[f64; 4] {
        unsafe { &*(self as *const Self as *const [f64; 4]) }
    }
}

#[cfg(not(target_arch = "spirv"))]
impl AsMut<[f64; 4]> for DMat2 {
    #[inline]
    fn as_mut(&mut self) -> &mut [f64; 4] {
        unsafe { &mut *(self as *mut Self as *mut [f64; 4]) }
    }
}

#[cfg(not(target_arch = "spirv"))]
impl fmt::Debug for DMat2 {
    fn fmt(&self, fmt: &mut fmt::Formatter<'_>) -> fmt::Result {
        fmt.debug_struct(stringify!(DMat2))
            .field("x_axis", &self.x_axis)
            .field("y_axis", &self.y_axis)
            .finish()
    }
}

#[cfg(not(target_arch = "spirv"))]
impl fmt::Display for DMat2 {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "[{}, {}]", self.x_axis, self.y_axis)
    }
}