1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175

#![feature(zero_one)]

#![no_std]

extern crate generic_array;
extern crate typenum;

#[cfg(feature = "glium")]
extern crate glium;

#[cfg(feature = "glium")]
mod linea_glium;
#[cfg(feature = "glium")]
pub use linea_glium::*;

use core::mem;
use core::num::*;
use core::ops::*;
use core::ptr;
use generic_array::*;
use typenum::consts::U1;

pub struct Matrix<A, M: ArrayLength<A>, N: ArrayLength<GenericArray<A, M>> = U1>(GenericArray<GenericArray<A, M>, N>);

#[inline]
pub fn dot<B: Copy, A: Copy + Mul<B>, N: ArrayLength<A> + ArrayLength<B>>(Matrix(a): Matrix<A, N>, Matrix(b): Matrix<B, N>) -> A::Output where A::Output: Zero + AddAssign {
    let mut c = A::Output::zero();
    for i in 0..N::to_usize() { c += a[0][i]*b[0][i] }
    c
}

impl<A, N: ArrayLength<A>> Index<usize> for Matrix<A, N> {
    type Output = A;
    fn index(&self, i: usize) -> &A { let &Matrix(ref a) = self; &a[0][i] }
}

impl<A, N: ArrayLength<A>> IndexMut<usize> for Matrix<A, N> {
    fn index_mut(&mut self, i: usize) -> &mut A { let &mut Matrix(ref mut a) = self; &mut a[0][i] }
}

impl<A: Copy + Zero + AddAssign + One + Mul<Output = A> + Div<Output = A>, N: ArrayLength<A>> Matrix<A, N> {
    #[inline]
    pub fn norm(self) -> Self where N::ArrayType: Copy { self.scale(A::one()/dot(self, self)) }
}

impl<A: Copy, M: ArrayLength<A> + ArrayLength<GenericArray<A, N>>, N: ArrayLength<A> + ArrayLength<GenericArray<A, M>>> Matrix<A, M, N> {
    #[inline] pub fn from_col_major_array(a: GenericArray<GenericArray<A, M>, N>) -> Self { Matrix(a) }
    #[inline] pub fn to_col_major_array(self) -> GenericArray<GenericArray<A, M>, N> { let Matrix(a) = self; a }
    #[inline] pub fn transpose(self) -> Matrix<A, N, M> {
        let Matrix(a) = self;
        let mut c: GenericArray<GenericArray<A, N>, M> = unsafe { mem::uninitialized() };
        for i in 0..N::to_usize() {
            for j in 0..M::to_usize() {
                c[j][i] = a[i][j];
            }
        }
        Matrix(c)
    }
}

impl<A: Clone, M: ArrayLength<A>, N: ArrayLength<GenericArray<A, M>>> Clone for Matrix<A, M, N> where M::ArrayType: Clone {
    fn clone(&self) -> Self {
        let &Matrix(ref a) = self;
        unsafe {
            let mut c: GenericArray<GenericArray<A, M>, N> = mem::uninitialized();
            for i in 0..N::to_usize() { for j in 0..M::to_usize() { ptr::write(&mut c[i][j], a[i][j].clone()) } }
            Matrix(c)
        }
    }
}

impl<A: Copy, M: ArrayLength<A>, N: ArrayLength<GenericArray<A, M>>> Copy for Matrix<A, M, N> where M::ArrayType: Copy, N::ArrayType: Copy {}

impl<A: Copy, M: ArrayLength<A>, N: ArrayLength<GenericArray<A, M>>> Matrix<A, M, N> {
    #[inline]
    pub fn scale<B: Copy + Mul<A>>(self, b: B) -> Matrix<B::Output, M, N> where M: ArrayLength<B> + ArrayLength<B::Output>, N: ArrayLength<GenericArray<B, M>> + ArrayLength<GenericArray<B::Output, M>> {
        let Matrix(a) = self;
        let mut c: GenericArray<GenericArray<B::Output, M>, N> = unsafe { mem::uninitialized() };
        for (ps, qs) in Iterator::zip(a.iter(), c.iter_mut()) { for (p, q) in Iterator::zip(ps.iter(), qs.iter_mut()) { *q = b**p } }
        Matrix(c)
    }
}

impl<B: Copy, A: Copy + MulAssign<B>, M: ArrayLength<A>, N: ArrayLength<GenericArray<A, M>>> MulAssign<B> for Matrix<A, M, N> {
    fn mul_assign(&mut self, rhs: B) {
        let &mut Matrix(ref mut a) = self;
        for i in 0..N::to_usize() { for j in 0..M::to_usize() { a[i][j] *= rhs } }
    }
}

impl<A: Copy + Zero, M: ArrayLength<A>, N: ArrayLength<GenericArray<A, M>>> Zero for Matrix<A, M, N> {
    fn zero() -> Self {
        let mut c: GenericArray<GenericArray<A, M>, N> = unsafe { mem::uninitialized() };
        for i in 0..N::to_usize() { for j in 0..M::to_usize() { c[i][j] = A::zero() } }
        Matrix(c)
    }
}

impl<A: Copy + Neg, M: ArrayLength<A> + ArrayLength<A::Output>, N: ArrayLength<GenericArray<A, M>> + ArrayLength<GenericArray<A::Output, M>>> Neg for Matrix<A, M, N> {
    type Output = Matrix<A::Output, M, N>;
    fn neg(self) -> Self::Output {
        let Matrix(a) = self;
        let mut c: GenericArray<GenericArray<A::Output, M>, N> = unsafe { mem::uninitialized() };
        for i in 0..N::to_usize() { for j in 0..M::to_usize() { c[i][j] = a[i][j].neg() } }
        Matrix(c)
    }
}

impl<B: Copy, A: Copy + Add<B>,
     M: ArrayLength<A> + ArrayLength<B> + ArrayLength<A::Output>,
     N: ArrayLength<GenericArray<A, M>> + ArrayLength<GenericArray<B, M>> + ArrayLength<GenericArray<A::Output, M>>> Add<Matrix<B, M, N>> for Matrix<A, M, N> {
    type Output = Matrix<A::Output, M, N>;
    fn add(self, Matrix(b): Matrix<B, M, N>) -> Self::Output {
        let Matrix(a) = self;
        let mut c: GenericArray<GenericArray<A::Output, M>, N> = unsafe { mem::uninitialized() };
        for i in 0..N::to_usize() { for j in 0..M::to_usize() { c[i][j] = a[i][j] + b[i][j] } }
        Matrix(c)
    }
}

impl<B: Copy, A: Copy + AddAssign<B>,
     M: ArrayLength<A> + ArrayLength<B>,
     N: ArrayLength<GenericArray<A, M>> + ArrayLength<GenericArray<B, M>>> AddAssign<Matrix<B, M, N>> for Matrix<A, M, N> {
    fn add_assign(&mut self, Matrix(b): Matrix<B, M, N>) {
        let &mut Matrix(ref mut a) = self;
        for i in 0..N::to_usize() { for j in 0..M::to_usize() { a[i][j] += b[i][j] } }
    }
}

impl<B: Copy, A: Copy + Sub<B>,
     M: ArrayLength<A> + ArrayLength<B> + ArrayLength<A::Output>,
     N: ArrayLength<GenericArray<A, M>> + ArrayLength<GenericArray<B, M>> + ArrayLength<GenericArray<A::Output, M>>> Sub<Matrix<B, M, N>> for Matrix<A, M, N> {
    type Output = Matrix<A::Output, M, N>;
    fn sub(self, Matrix(b): Matrix<B, M, N>) -> Self::Output {
        let Matrix(a) = self;
        let mut c: GenericArray<GenericArray<A::Output, M>, N> = unsafe { mem::uninitialized() };
        for i in 0..N::to_usize() { for j in 0..M::to_usize() { c[i][j] = a[i][j] - b[i][j] } }
        Matrix(c)
    }
}

impl<B: Copy, A: Copy + SubAssign<B>,
     M: ArrayLength<A> + ArrayLength<B>,
     N: ArrayLength<GenericArray<A, M>> + ArrayLength<GenericArray<B, M>>> SubAssign<Matrix<B, M, N>> for Matrix<A, M, N> {
    fn sub_assign(&mut self, Matrix(b): Matrix<B, M, N>) {
        let &mut Matrix(ref mut a) = self;
        for i in 0..N::to_usize() { for j in 0..M::to_usize() { a[i][j] -= b[i][j] } }
    }
}

impl<A: Copy + Zero + One, N: ArrayLength<A> + ArrayLength<GenericArray<A, N>>> One for Matrix<A, N, N> {
    fn one() -> Self {
        let mut c: GenericArray<GenericArray<A, N>, N> = unsafe { mem::uninitialized() };
        for i in 0..N::to_usize() { for j in 0..N::to_usize() { c[i][j] = if i == j { A::one() } else { A::zero() } } }
        Matrix(c)
    }
}

impl<B: Copy, A: Copy + Mul<B>,
     K: ArrayLength<B> + ArrayLength<GenericArray<A, M>>,
     M: ArrayLength<A> + ArrayLength<A::Output>,
     N: ArrayLength<GenericArray<A::Output, M>> + ArrayLength<GenericArray<B, K>>> Mul<Matrix<B, K, N>> for Matrix<A, M, K> where A::Output: Zero + AddAssign {
    type Output = Matrix<A::Output, M, N>;
    fn mul(self, Matrix(b): Matrix<B, K, N>) -> Self::Output {
        let Matrix(a) = self;
        let mut c: GenericArray<GenericArray<A::Output, M>, N> = unsafe { mem::uninitialized() };
        for i in 0..N::to_usize() {
            for j in 0..M::to_usize() {
                c[i][j] = A::Output::zero();
                for k in 0..K::to_usize() { c[i][j] += a[k][j]*b[i][k] }
            }
        }
        Matrix(c)
    }
}