mlx/mlx/backend/common/hadamard.cpp
Alex Barron a3c287354f
Fast Hadamard Transform (#1249)
* Working hadamard for powers of 2

* working for m*2^k

* add scale and check contiguity

* add size check

* clean up

* fix test

* add grads + vmap

* gpu only

* skip on linux

* test typo

* add cpu impl

* remove gpu only tests

* fix linux build + add is_equivalent
2024-07-09 20:39:01 -07:00

107 lines
2.7 KiB
C++

// Copyright © 2024 Apple Inc.
#include <cassert>
#include "mlx/backend/common/copy.h"
#include "mlx/backend/common/hadamard.h"
#include "mlx/primitives.h"
namespace mlx::core {
// n = 2^k component
template <typename T>
void hadamard_n(array& out, int n, int m, float scale) {
for (int b = 0; b < out.size() / n; b++) {
size_t loc = b * n;
T* data_ptr = out.data<T>() + loc;
int h = 1;
int n_over_2 = n / 2;
while (h < n) {
for (int i = 0; i < n / 2; i++) {
int k = i & (h - 1);
int j = ((i - k) << 1) + k;
float x = *(data_ptr + j);
float y = *(data_ptr + j + h);
*(data_ptr + j) = x + y;
*(data_ptr + j + h) = x - y;
if (h == n_over_2) {
*(data_ptr + j) *= scale;
*(data_ptr + j + h) *= scale;
}
}
h <<= 1;
}
}
}
// m component
template <typename T>
void hadamard_m(array& out, int n, int m, float scale) {
auto h_matrices = hadamard_matrices();
auto& matrix = h_matrices[m];
auto start = 1;
auto end = matrix.find('\n', start);
std::vector<bool> hmat_vec;
while (end != std::string_view::npos) {
auto row = matrix.substr(start, end - start);
for (int i = 0; i < row.length(); i++) {
hmat_vec.push_back(row[i] == '+');
}
start = end + 1;
end = matrix.find('\n', start);
}
for (int b = 0; b < out.size() / m / n; b++) {
size_t loc = b * n * m;
T* data_ptr = out.data<T>() + loc;
for (int i = 0; i < n; i++) {
std::vector<float> out(m);
for (int j = 0; j < m; j++) {
for (int k = 0; k < m; k++) {
float x = *(data_ptr + i + k * n);
if (hmat_vec[k + j * m]) {
out[j] += x;
} else {
out[j] -= x;
}
}
}
for (int j = 0; j < m; j++) {
*(data_ptr + i + j * n) = out[j] * scale;
}
}
}
}
template <typename T>
void hadamard(array& out, int n, int m, float scale) {
float n_scale = m > 1 ? 1.0 : scale;
hadamard_n<T>(out, n, m, n_scale);
if (m > 1) {
hadamard_m<T>(out, n, m, scale);
}
}
void Hadamard::eval(const std::vector<array>& inputs, array& out) {
assert(inputs.size() == 1);
auto& in = inputs[0];
// Copy input to output
copy(in, out, CopyType::General);
int axis = out.ndim() - 1;
auto [n, m] = decompose_hadamard(out.shape(axis));
switch (in.dtype()) {
case float32:
return hadamard<float>(out, n, m, scale_);
case float16:
return hadamard<float16_t>(out, n, m, scale_);
case bfloat16:
return hadamard<bfloat16_t>(out, n, m, scale_);
default:
throw std::invalid_argument("[hadamard] Unsupported type.");
}
}
} // namespace mlx::core