use std::fmt;
use num::{Float, Zero, Num};
use std::ops::{Deref, DerefMut};
use std::ops::{Add, Mul, Sub, SubAssign, AddAssign};
use crate::errors::VectorErrors;
use crate::matrix5x5::M55;
#[derive(Copy, Clone, Debug, PartialEq)]
pub struct V5<T>([T; 5]);
impl<T> V5<T> {
pub fn new(input: [T; 5]) -> Self {
Self(input)
}
}
impl<T: Num + Copy> V5<T> {
pub fn zeros() -> Self {
<V5<T> as Zero>::zero()
}
}
impl<T: Float> V5<T> {
pub fn norm2(&self) -> T {
let a = self[0];
let b = self[1];
let c = self[2];
let d = self[3];
let e = self[4];
T::sqrt(a * a + b * b + c * c + d * d + e * e)
}
pub fn normalize(&mut self) -> Result<Self, VectorErrors> {
let n = self.norm2();
if n != T::zero() {
let mut result = Self::zeros();
for i in 0..self.len() {
result[i] = self[i] / n;
}
Ok(result)
} else {
Err(VectorErrors::Norm2IsZero)
}
}
}
impl<T: Num + Copy> Mul for V5<T> {
type Output = T;
fn mul(self, rhs: Self) -> T {
let a0 = self[0];
let a1 = self[1];
let a2 = self[2];
let a3 = self[3];
let a4 = self[4];
let b0 = rhs[0];
let b1 = rhs[1];
let b2 = rhs[2];
let b3 = rhs[3];
let b4 = rhs[4];
a0 * b0 + a1 * b1 + a2 * b2 + a3 * b3 + a4 * b4
}
}
impl<T: Num + Copy> Mul<T> for V5<T> {
type Output = V5<T>;
fn mul(self, rhs: T) -> V5<T> {
let a0 = self[0] * rhs;
let a1 = self[1] * rhs;
let a2 = self[2] * rhs;
let a3 = self[3] * rhs;
let a4 = self[4] * rhs;
V5::new([a0, a1, a2, a3, a4])
}
}
impl Mul<V5<f32>> for f32 {
type Output = V5<f32>;
fn mul(self, rhs: V5<f32>) -> V5<f32> {
let a0 = self * rhs[0];
let a1 = self * rhs[1];
let a2 = self * rhs[2];
let a3 = self * rhs[3];
let a4 = self * rhs[4];
V5::new([a0, a1, a2, a3, a4])
}
}
impl<T: Num + Copy> Mul<M55<T>> for V5<T> {
type Output = V5<T>;
fn mul(self, rhs: M55<T>) -> V5<T> {
let v0 = self[0];
let v1 = self[1];
let v2 = self[2];
let v3 = self[3];
let v4 = self[4];
let a_00 = rhs[(0, 0)];
let a_01 = rhs[(0, 1)];
let a_02 = rhs[(0, 2)];
let a_03 = rhs[(0, 3)];
let a_04 = rhs[(0, 4)];
let a_10 = rhs[(1, 0)];
let a_11 = rhs[(1, 1)];
let a_12 = rhs[(1, 2)];
let a_13 = rhs[(1, 3)];
let a_14 = rhs[(1, 4)];
let a_20 = rhs[(2, 0)];
let a_21 = rhs[(2, 1)];
let a_22 = rhs[(2, 2)];
let a_23 = rhs[(2, 3)];
let a_24 = rhs[(2, 4)];
let a_30 = rhs[(3, 0)];
let a_31 = rhs[(3, 1)];
let a_32 = rhs[(3, 2)];
let a_33 = rhs[(3, 3)];
let a_34 = rhs[(3, 4)];
let a_40 = rhs[(4, 0)];
let a_41 = rhs[(4, 1)];
let a_42 = rhs[(4, 2)];
let a_43 = rhs[(4, 3)];
let a_44 = rhs[(4, 4)];
V5::new([
a_00 * v0 + a_10 * v1 + a_20 * v2 + a_30 * v3 + a_40 * v4,
a_01 * v0 + a_11 * v1 + a_21 * v2 + a_31 * v3 + a_41 * v4,
a_02 * v0 + a_12 * v1 + a_22 * v2 + a_32 * v3 + a_42 * v4,
a_03 * v0 + a_13 * v1 + a_23 * v2 + a_33 * v3 + a_43 * v4,
a_04 * v0 + a_14 * v1 + a_24 * v2 + a_34 * v3 + a_44 * v4,
])
}
}
impl<T: Num + Copy> Sub for V5<T> {
type Output = Self;
fn sub(self, rhs: Self) -> Self {
let v0 = self[0];
let v1 = self[1];
let v2 = self[2];
let v3 = self[3];
let v4 = self[4];
let a0 = rhs[0];
let a1 = rhs[1];
let a2 = rhs[2];
let a3 = rhs[3];
let a4 = rhs[4];
V5::new([v0 - a0, v1 - a1, v2 - a2, v3 - a3, v4 - a4])
}
}
impl<T: Num + Copy> SubAssign for V5<T> {
fn sub_assign(&mut self, other: Self) {
*self = *self - other
}
}
impl<T: Num + Copy> Add for V5<T> {
type Output = Self;
fn add(self, rhs: Self) -> Self {
let v0 = self[0];
let v1 = self[1];
let v2 = self[2];
let v3 = self[3];
let v4 = self[4];
let a0 = rhs[0];
let a1 = rhs[1];
let a2 = rhs[2];
let a3 = rhs[3];
let a4 = rhs[4];
V5::new([v0 + a0, v1 + a1, v2 + a2, v3 + a3, v4 + a4])
}
}
impl<T: Num + Copy> AddAssign for V5<T> {
fn add_assign(&mut self, other: Self) {
*self = *self + other
}
}
impl<T: Num + Copy> Zero for V5<T> {
fn zero() -> V5<T> {
V5::new([T::zero(); 5])
}
fn is_zero(&self) -> bool {
*self == V5::zero()
}
}
impl<T> Deref for V5<T> {
type Target = [T; 5];
#[inline]
fn deref(&self) -> &Self::Target {
&self.0
}
}
impl<T> DerefMut for V5<T> {
#[inline]
fn deref_mut(&mut self) -> &mut Self::Target {
&mut self.0
}
}
impl<T> From<[T; 5]> for V5<T> {
fn from(data: [T; 5]) -> V5<T> {
V5(data)
}
}
impl<T: Num + fmt::Display> fmt::Display for V5<T> {
fn fmt(&self, dest: &mut fmt::Formatter) -> fmt::Result {
println!("");
write!(dest, "[{0:^3.2} {1:^3.2} {2:^3.2} {3:^3.2} {4:^3.2}]\n", self[0], self[1], self[2], self[3], self[4])
}
}
#[cfg(test)]
mod vector5_test {
use crate::matrix5x5::M55;
use crate::vector5::V5;
#[test]
fn vector5_creation_test() {
let v = V5::new([1.0, 2.0, 3.0, 4.0, 5.0]);
assert_eq!(v[0], 1.0);
assert_eq!(v[1], 2.0);
assert_eq!(v[2], 3.0);
assert_eq!(v[3], 4.0);
assert_eq!(v[4], 5.0);
}
#[test]
fn vector5_zeros_test() {
let result: V5<f32> = V5::zeros();
let expected = V5::new([0.0, 0.0, 0.0, 0.0, 0.0]);
assert_eq!(
&result[..],
&expected[..],
"\nExpected\n{:?}\nfound\n{:?}",
&result[..],
&expected[..]
);
}
#[test]
fn vector5_add_test() {
let v1 = V5::new([1.0, 2.0, 3.0, 4.0, 5.0]);
let v2 = V5::new([6.0, 7.0, 8.0, 9.0, 10.0]);
let result = v1 + v2;
let expected = V5::new([7.0, 9.0, 11.0, 13.0, 15.0]);
assert_eq!(
&result[..],
&expected[..],
"\nExpected\n{:?}\nfound\n{:?}",
&result[..],
&expected[..]
);
}
#[test]
fn sub_test() {
let v1 = V5::new([1.0, 2.0, 3.0, 4.0, 5.0]);
let v2 = V5::new([6.0, 7.0, 8.0, 9.0, 10.0]);
let result = v1 - v2;
let expected = V5::new([-5.0, -5.0, -5.0, -5.0, -5.0]);
assert_eq!(
&result[..],
&expected[..],
"\nExpected\n{:?}\nfound\n{:?}",
&result[..],
&expected[..]
);
}
#[test]
fn vector5_mul_test() {
let v1 = V5::new([1.0, 2.0, 3.0, 4.0, 5.0]);
let v2 = V5::new([6.0, 7.0, 8.0, 9.0, 10.0]);
let result = v1 * v2;
let expected = 130.0;
assert_eq!(result, expected);
}
#[test]
fn vector5_norm_test() {
let v1 = V5::new([1.0, 2.0, 3.0, 4.0, 5.0]);
let result = v1.norm2();
let expected = 7.416198487095663;
assert_eq!(result, expected);
}
#[test]
fn mul_const_rhs() {
let v = V5::new([1.0, 2.0, 3.0, 4.0, 5.0]);
let result = 2.0 * v;
let expected = V5::new([2.0, 4.0, 6.0, 8.0, 10.0]);
assert_eq!(
&result[..],
&expected[..],
"\nExpected\n{:?}\nfound\n{:?}",
&result[..],
&expected[..]
);
}
#[test]
fn mul_const() {
let v = V5::new([1.0, 2.0, 3.0, 4.0, 5.0]);
let result = v * 2.0;
let expected = V5::new([2.0, 4.0, 6.0, 8.0, 10.0]);
assert_eq!(
&result[..],
&expected[..],
"\nExpected\n{:?}\nfound\n{:?}",
&result[..],
&expected[..]
);
}
#[test]
fn vector5_mul_matrix5x5_test() {
let v1 = V5::new([1.0, 2.0, 3.0, 4.0, 5.0]);
let m = M55::new([
[10.0, 1.0, 7.0, 1.0, 5.0],
[2.0, 4.0, 8.0, 3.0, 2.0],
[5.0, 1.0, 2.0, 9.0, 10.0],
[6.0, 9.0, 9.0, 7.0, 3.0],
[1.0, 8.0, 8.0, 10.0, 5.0],
]);
let result = v1 * m;
let expected = V5::new([58.0, 88.0, 105.0, 112.0, 76.0]);
assert_eq!(
&result[..],
&expected[..],
"\nExpected\n{:?}\nfound\n{:?}",
&result[..],
&expected[..]
);
}
#[test]
fn normalize_test() {
let result = V5::new([1.0, 1.0, 1.0, 1.0, 1.0]).normalize().unwrap();
let expected = V5::new([0.4472135954999579, 0.4472135954999579, 0.4472135954999579, 0.4472135954999579, 0.4472135954999579]);
assert_eq!(
&result[..],
&expected[..],
"\nExpected\n{:?}\nfound\n{:?}",
&result[..],
&expected[..]
);
}
#[test]
fn sub_assigment_test() {
let mut result = V5::new([1.0, 2.0, 3.0, 4.0, 5.0]);
let v = V5::new([0.0, 1.0, 2.0, 3.0, 4.0]);
let expected = V5::new([1.0, 1.0, 1.0, 1.0, 1.0]);
result -= v;
assert_eq!(
&result[..],
&expected[..],
"\nExpected\n{:?}\nfound\n{:?}",
&result[..],
&expected[..]
);
}
#[test]
fn add_assigment_test() {
let mut result = V5::new([1.0, 2.0, 3.0, 4.0, 5.0]);
let v = V5::new([0.0, 1.0, 2.0, 3.0, 4.0]);
let expected = V5::new([1.0, 3.0, 5.0, 7.0, 9.0]);
result += v;
assert_eq!(
&result[..],
&expected[..],
"\nExpected\n{:?}\nfound\n{:?}",
&result[..],
&expected[..]
);
}
}