use super::Vec4; use std::ops::{Mul, MulAssign}; #[derive(PartialEq, Debug)] pub struct Mat4 { elements: [[f64; 4]; 4], } impl Mat4 { pub fn new( m00: f64, m01: f64, m02: f64, m03: f64, m10: f64, m11: f64, m12: f64, m13: f64, m20: f64, m21: f64, m22: f64, m23: f64, m30: f64, m31: f64, m32: f64, m33: f64, ) -> Mat4 { Mat4 { elements: [ [m00, m01, m02, m03], [m10, m11, m12, m13], [m20, m21, m22, m23], [m30, m31, m32, m33], ], } } pub fn from_rows(r0: &Vec4, r1: &Vec4, r2: &Vec4, r3: &Vec4) -> Mat4 { let mut elements = [[0.0; 4]; 4]; for (row, v) in elements.iter_mut().zip([r0, r1, r2, r3].iter()) { for (it, val) in row.iter_mut().zip(v.coords.iter()) { *it = *val; } } Mat4 { elements } } pub fn get_element(&self, row: usize, column: usize) -> f64 { self.elements[row][column] } pub fn get_row(&self, row: usize) -> Vec4 { Vec4 { coords: self.elements[row], } } pub fn get_column(&self, column: usize) -> Vec4 { let mut coords = [0.0; 4]; for (coord, row) in coords.iter_mut().zip(self.elements.iter()) { *coord = row[column]; } Vec4 { coords } } } impl Mul for Mat4 { type Output = Self; fn mul(self, rhs: Self) -> Self { let mut elements = [[0.0; 4]; 4]; for row in 0..4 { for column in 0..4 { elements[row][column] = self.get_row(row).dot(&rhs.get_column(column)); } } Mat4 { elements } } } impl MulAssign for Mat4 { fn mul_assign(&mut self, rhs: Self) { for row in 0..4 { let mut new_row = [0.0; 4]; for column in 0..4 { new_row[column] = self.get_row(row).dot(&rhs.get_column(column)); } self.elements[row] = new_row; } } } impl Mul for Mat4 { type Output = Vec4; fn mul(self, rhs: Vec4) -> Vec4 { let mut coords = [0.0; 4]; for (coord, row) in coords.iter_mut().zip(self.elements.iter()) { *coord = Vec4 { coords: *row }.dot(&rhs); } Vec4 { coords } } } #[cfg(test)] mod tests { use super::*; #[test] fn elements_are_in_expected_locations() { let target = Mat4::new( 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, ); assert!(target.get_element(0, 0) == 1.0); assert!(target.get_element(0, 1) == 2.0); assert!(target.get_element(0, 2) == 3.0); assert!(target.get_element(0, 3) == 4.0); assert!(target.get_element(1, 0) == 5.0); assert!(target.get_element(1, 1) == 6.0); assert!(target.get_element(1, 2) == 7.0); assert!(target.get_element(1, 3) == 8.0); assert!(target.get_element(2, 0) == 9.0); assert!(target.get_element(2, 1) == 10.0); assert!(target.get_element(2, 2) == 11.0); assert!(target.get_element(2, 3) == 12.0); assert!(target.get_element(3, 0) == 13.0); assert!(target.get_element(3, 1) == 14.0); assert!(target.get_element(3, 2) == 15.0); assert!(target.get_element(3, 3) == 16.0); } #[test] fn from_rows_places_values_in_rows() { let target = Mat4::from_rows( &Vec4::new(1.0, 2.0, 3.0, 4.0), &Vec4::new(5.0, 6.0, 7.0, 8.0), &Vec4::new(9.0, 10.0, 11.0, 12.0), &Vec4::new(13.0, 14.0, 15.0, 16.0), ); assert!(target.get_element(0, 0) == 1.0); assert!(target.get_element(0, 1) == 2.0); assert!(target.get_element(0, 2) == 3.0); assert!(target.get_element(0, 3) == 4.0); assert!(target.get_element(1, 0) == 5.0); assert!(target.get_element(1, 1) == 6.0); assert!(target.get_element(1, 2) == 7.0); assert!(target.get_element(1, 3) == 8.0); assert!(target.get_element(2, 0) == 9.0); assert!(target.get_element(2, 1) == 10.0); assert!(target.get_element(2, 2) == 11.0); assert!(target.get_element(2, 3) == 12.0); assert!(target.get_element(3, 0) == 13.0); assert!(target.get_element(3, 1) == 14.0); assert!(target.get_element(3, 2) == 15.0); assert!(target.get_element(3, 3) == 16.0); } #[test] fn get_column_returns_expected_value() { let target = Mat4::from_rows( &Vec4::new(1.0, 2.0, 3.0, 4.0), &Vec4::new(5.0, 6.0, 7.0, 8.0), &Vec4::new(9.0, 10.0, 11.0, 12.0), &Vec4::new(13.0, 14.0, 15.0, 16.0), ); assert!(target.get_column(0) == Vec4::new(1.0, 5.0, 9.0, 13.0)); assert!(target.get_column(1) == Vec4::new(2.0, 6.0, 10.0, 14.0)); assert!(target.get_column(2) == Vec4::new(3.0, 7.0, 11.0, 15.0)); assert!(target.get_column(3) == Vec4::new(4.0, 8.0, 12.0, 16.0)); } #[test] fn mul_with_mat4_returns_expected_result() { let a = Mat4::from_rows( &Vec4::new(1.0, 2.0, 3.0, 4.0), &Vec4::new(5.0, 6.0, 7.0, 8.0), &Vec4::new(9.0, 10.0, 11.0, 12.0), &Vec4::new(13.0, 14.0, 15.0, 16.0), ); let b = Mat4::from_rows( &Vec4::new(17.0, 18.0, 19.0, 20.0), &Vec4::new(21.0, 22.0, 23.0, 24.0), &Vec4::new(25.0, 26.0, 27.0, 28.0), &Vec4::new(29.0, 30.0, 31.0, 32.0), ); let c = Mat4::from_rows( &Vec4::new(250.0, 260.0, 270.0, 280.0), &Vec4::new(618.0, 644.0, 670.0, 696.0), &Vec4::new(986.0, 1028.0, 1070.0, 1112.0), &Vec4::new(1354.0, 1412.0, 1470.0, 1528.0), ); assert!(a * b == c); } #[test] fn mul_assign_returns_expected_result() { let mut a = Mat4::from_rows( &Vec4::new(1.0, 2.0, 3.0, 4.0), &Vec4::new(5.0, 6.0, 7.0, 8.0), &Vec4::new(9.0, 10.0, 11.0, 12.0), &Vec4::new(13.0, 14.0, 15.0, 16.0), ); let b = Mat4::from_rows( &Vec4::new(17.0, 18.0, 19.0, 20.0), &Vec4::new(21.0, 22.0, 23.0, 24.0), &Vec4::new(25.0, 26.0, 27.0, 28.0), &Vec4::new(29.0, 30.0, 31.0, 32.0), ); let c = Mat4::from_rows( &Vec4::new(250.0, 260.0, 270.0, 280.0), &Vec4::new(618.0, 644.0, 670.0, 696.0), &Vec4::new(986.0, 1028.0, 1070.0, 1112.0), &Vec4::new(1354.0, 1412.0, 1470.0, 1528.0), ); a *= b; assert!(a == c); } #[test] fn mul_with_vec4_returns_expected_result() { let a = Mat4::from_rows( &Vec4::new(1.0, 2.0, 3.0, 4.0), &Vec4::new(5.0, 6.0, 7.0, 8.0), &Vec4::new(9.0, 10.0, 11.0, 12.0), &Vec4::new(13.0, 14.0, 15.0, 16.0), ); let b = Vec4::new(17.0, 18.0, 19.0, 20.0); let c = Vec4::new(190.0, 486.0, 782.0, 1078.0); assert!(a * b == c); } }