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use crate::autograd::BackwardOp;
use crate::storage::Storage;
use crate::Tensor;
use rayon::prelude::*;
use std::sync::Arc;
// --- BatchNorm2d ---
#[derive(Debug)]
pub struct BatchNorm2dBackwardFull {
pub input: Tensor,
pub gamma: Option<Tensor>,
pub beta: Option<Tensor>,
pub mean: Vec<f32>,
pub inv_std: Vec<f32>,
pub eps: f32,
}
impl BackwardOp for BatchNorm2dBackwardFull {
fn backward(&self, grad: &Tensor) {
if self.input.requires_grad() {
// Simplified Backward for BatchNorm
// Assuming training mode logic (complex)
// Or just use a simplified diagonal approximation if strictly needed for MVP.
// But let's try to be reasonably correct.
let n = self.input.shape()[0];
let c = self.input.shape()[1];
let h = self.input.shape()[2];
let w = self.input.shape()[3];
let _num_pixels = (h * w) as f32;
let m = (n * h * w) as f32;
let grad_guard = grad.data();
let grad_data = &*grad_guard;
let input_guard = self.input.data();
let input_data = &*input_guard;
let gamma_data = self.gamma.as_ref().map(|g| g.data());
// Grads for gamma and beta
let mut d_gamma = vec![0.0; c];
let mut d_beta = vec![0.0; c];
// First pass: compute d_gamma, d_beta
// Parallelize over C?
// Accumulate over N, H, W
// This is reduction.
// Let's do it serial over C for simplicity or parallel over C.
let grads: Vec<(f32, f32)> = (0..c)
.into_par_iter()
.map(|ci| {
let mut dg = 0.0;
let mut db = 0.0;
let mean = self.mean[ci];
let inv_std = self.inv_std[ci];
for b in 0..n {
for hi in 0..h {
for wi in 0..w {
let idx = ((b * c + ci) * h + hi) * w + wi;
let dy = grad_data[idx];
let x = input_data[idx];
let x_hat = (x - mean) * inv_std;
dg += dy * x_hat;
db += dy;
}
}
}
(dg, db)
})
.collect();
for (i, (dg, db)) in grads.iter().enumerate() {
d_gamma[i] = *dg;
d_beta[i] = *db;
}
// Update gamma/beta grads
if let Some(gamma) = &self.gamma {
if gamma.requires_grad() {
let g_grad = Tensor::new(&d_gamma, gamma.shape());
gamma.accumulate_grad(&g_grad);
gamma.backward_step();
}
}
if let Some(beta) = &self.beta {
if beta.requires_grad() {
let b_grad = Tensor::new(&d_beta, beta.shape());
beta.accumulate_grad(&b_grad);
beta.backward_step();
}
}
// Compute d_input
// dx_hat = dy * gamma
// dx = (1/m) * inv_std * (m * dx_hat - sum(dx_hat) - x_hat * sum(dx_hat * x_hat))
let mut d_input_data = vec![0.0; input_data.len()];
d_input_data
.par_chunks_mut(h * w * c)
.enumerate()
.for_each(|(b, batch_slice)| {
for ci in 0..c {
let mean = self.mean[ci];
let inv_std = self.inv_std[ci];
let gamma_val = if let Some(g) = &gamma_data {
g[ci]
} else {
1.0
};
// We need sum(dx_hat) and sum(dx_hat * x_hat) over the whole batch!
// But we are inside parallel chunk.
// We computed these sums in d_gamma (sum(dy*x_hat)) and d_beta (sum(dy)).
// sum(dx_hat) = sum(dy * gamma) = gamma * sum(dy) = gamma * d_beta
// sum(dx_hat * x_hat) = sum(dy * gamma * x_hat) = gamma * sum(dy * x_hat) = gamma * d_gamma
let sum_dx_hat = gamma_val * d_beta[ci];
let sum_dx_hat_x_hat = gamma_val * d_gamma[ci];
for hi in 0..h {
for wi in 0..w {
let local_idx = (ci * h + hi) * w + wi;
let global_idx = ((b * c + ci) * h + hi) * w + wi; // Wait, b is batch index?
// batch_slice is slice of size C*H*W for batch b.
let dy = grad_data[global_idx];
let x = input_data[global_idx];
let x_hat = (x - mean) * inv_std;
let dx_hat = dy * gamma_val;
let val = (1.0 / m)
* inv_std
* (m * dx_hat - sum_dx_hat - x_hat * sum_dx_hat_x_hat);
batch_slice[local_idx] = val;
}
}
}
});
let d_input = Tensor::new(&d_input_data, self.input.shape());
self.input.accumulate_grad(&d_input);
self.input.backward_step();
}
}
}
#[allow(clippy::too_many_arguments)]
pub fn batch_norm2d(
input: &Tensor,
gamma: Option<&Tensor>,
beta: Option<&Tensor>,
running_mean: &Tensor,
running_var: &Tensor,
training: bool,
momentum: f32,
eps: f32,
) -> Tensor {
let shape = input.shape();
if shape.len() != 4 {
panic!("BatchNorm2d requires 4D tensor");
}
let n = shape[0];
let c = shape[1];
let h = shape[2];
let w = shape[3];
let input_guard = input.data();
let input_data = &*input_guard;
// Compute mean and var per channel
let (mean, var) = if training {
let stats: Vec<(f32, f32)> = (0..c)
.into_par_iter()
.map(|ci| {
let mut sum = 0.0;
let mut sq_sum = 0.0;
let count = (n * h * w) as f32;
for b in 0..n {
for hi in 0..h {
for wi in 0..w {
let val = input_data[((b * c + ci) * h + hi) * w + wi];
sum += val;
sq_sum += val * val;
}
}
}
let m = sum / count;
let v = sq_sum / count - m * m;
(m, v)
})
.collect();
let mut means = Vec::with_capacity(c);
let mut vars = Vec::with_capacity(c);
for (m, v) in stats {
means.push(m);
vars.push(v);
}
// Update running stats
let mut r_mean = running_mean.data_mut();
let mut r_var = running_var.data_mut();
for i in 0..c {
r_mean[i] = (1.0 - momentum) * r_mean[i] + momentum * means[i];
r_var[i] = (1.0 - momentum) * r_var[i] + momentum * vars[i];
}
(means, vars)
} else {
// Inference: use running stats
let r_mean = running_mean.data().clone();
let r_var = running_var.data().clone();
(r_mean, r_var)
};
// Normalize
let mut output_data = vec![0.0; n * c * h * w];
let gamma_data = gamma.map(|g| g.data());
let beta_data = beta.map(|b| b.data());
// Precompute inv_std
let inv_std: Vec<f32> = var.iter().map(|v| 1.0 / (v + eps).sqrt()).collect();
output_data
.par_chunks_mut(h * w)
.enumerate()
.for_each(|(i, plane)| {
let _ci = (i / n) % c; // Wait, chunk is H*W? No.
// Index mapping:
// i goes from 0 to N*C-1.
// idx = i * (H*W)
// b = i / c;
// ci = i % c;
// Wait, memory layout is N, C, H, W.
// So continuous chunks of H*W belong to (b, ci).
let ci = i % c;
// let b = i / c;
let _m = mean[ci];
let _inv_s = inv_std[ci];
let _g = if let Some(gd) = &gamma_data {
gd[ci]
} else {
1.0
};
let _b_val = if let Some(bd) = &beta_data {
bd[ci]
} else {
0.0
};
for _x in plane.iter_mut() { // plane is pre-filled with 0.0, we need to read input
// Oops, we don't have input slice here easily unless we zip or calculate index.
// Let's iterate index.
}
});
// Rewrite parallel loop properly
output_data
.par_chunks_mut(h * w)
.enumerate()
.for_each(|(i, output_plane)| {
let ci = i % c;
let m = mean[ci];
let inv_s = inv_std[ci];
let g = if let Some(gd) = &gamma_data {
gd[ci]
} else {
1.0
};
let b_val = if let Some(bd) = &beta_data {
bd[ci]
} else {
0.0
};
let start_idx = i * h * w;
for j in 0..h * w {
let val = input_data[start_idx + j];
output_plane[j] = (val - m) * inv_s * g + b_val;
}
});
let storage = Storage::new(output_data);
let mut tensor = Tensor::new_with_storage(storage, shape);
if training
&& (input.requires_grad()
|| gamma.is_some_and(|g| g.requires_grad())
|| beta.is_some_and(|b| b.requires_grad()))
{
tensor.set_requires_grad_mut(true);
// Need to pass mean/inv_std to backward
// But mean/inv_std are Vec<f32>.
// Backward op expects them?
// We defined BackwardOp with Tensor or Vec?
// Let's use Vec for internal storage in op struct.
tensor.set_op(Arc::new(BatchNorm2dBackwardFull {
input: input.clone(),
gamma: gamma.cloned(),
beta: beta.cloned(),
mean,
inv_std,
eps,
}));
}
tensor
}
// --- LayerNorm ---
// Input: (N, *, Normalized_Shape)
// Output: Same
// Mean/Var computed over last D dims.
#[derive(Debug)]
pub struct LayerNormBackward {
pub input: Tensor,
pub weight: Option<Tensor>,
pub bias: Option<Tensor>,
pub mean: Tensor,
pub inv_std: Tensor,
pub normalized_shape: Vec<usize>,
}
impl BackwardOp for LayerNormBackward {
fn backward(&self, grad: &Tensor) {
if self.input.requires_grad() {
// Simplified backward for LayerNorm
// dL/dx = ... complex formula ...
// Similar to BatchNorm but over different dimensions.
// For now, implement a simplified version or placeholder.
// Implementing full LayerNorm backward is verbose.
// Let's assume standard implementation.
// TODO: Full implementation.
// Just passing gradient through for now (Incorrect but allows graph flow)
// Or better: Implement correctly for 1D case (common in Transformer).
// Assuming input (N, L, D) and norm over D.
// Mean/Var is (N, L, 1).
// Let's implement correct logic for last dim normalization.
let shape = self.input.shape();
let dim = *shape.last().unwrap();
let n_elements: usize = shape.iter().take(shape.len() - 1).product();
// Grad input calculation...
// It's quite involved to write out from scratch in one go.
// Given constraints, I'll use a simplified approximation or placeholder
// that warns it's not fully implemented.
// Or, if I want to be diligent:
// dL/dx_i = 1/D * gamma * inv_std * ( D*dy_i - sum(dy) - x_hat_i * sum(dy * x_hat) )
let grad_guard = grad.data();
let grad_data = &*grad_guard;
let input_guard = self.input.data();
let input_data = &*input_guard;
let mean_guard = self.mean.data(); // (N*L)
let mean_data = &*mean_guard;
let inv_std_guard = self.inv_std.data(); // (N*L)
let inv_std_data = &*inv_std_guard;
let weight_data = self.weight.as_ref().map(|w| w.data());
let mut grad_input_data = vec![0.0; grad_data.len()];
// Iterate over each instance (N*L)
grad_input_data
.par_chunks_mut(dim)
.enumerate()
.for_each(|(i, dx_row)| {
let m = mean_data[i];
let inv_s = inv_std_data[i];
let offset = i * dim;
let mut sum_dy = 0.0;
let mut sum_dy_x_hat = 0.0;
for j in 0..dim {
let dy = grad_data[offset + j];
let x = input_data[offset + j];
let x_hat = (x - m) * inv_s;
let g = if let Some(wd) = &weight_data {
wd[j]
} else {
1.0
};
// dy is dL/dy.
// Effective dy for normalization part is dy * gamma
let dy_eff = dy * g;
sum_dy += dy_eff;
sum_dy_x_hat += dy_eff * x_hat;
}
let factor = inv_s / (dim as f32);
for j in 0..dim {
let dy = grad_data[offset + j];
let x = input_data[offset + j];
let x_hat = (x - m) * inv_s;
let g = if let Some(wd) = &weight_data {
wd[j]
} else {
1.0
};
let dy_eff = dy * g;
dx_row[j] =
factor * ((dim as f32) * dy_eff - sum_dy - x_hat * sum_dy_x_hat);
}
});
let grad_input = Tensor::new(&grad_input_data, shape);
self.input.accumulate_grad(&grad_input);
self.input.backward_step();
// Weight/Bias grads
if let Some(weight) = &self.weight {
if weight.requires_grad() {
// sum(dy * x_hat) over all batches
let mut dw_data = vec![0.0; dim];
// Need atomic add or reduce.
// Simple serial reduce for now.
for i in 0..n_elements {
let offset = i * dim;
let m = mean_data[i];
let inv_s = inv_std_data[i];
for j in 0..dim {
let dy = grad_data[offset + j];
let x = input_data[offset + j];
let x_hat = (x - m) * inv_s;
dw_data[j] += dy * x_hat;
}
}
let dw = Tensor::new(&dw_data, weight.shape());
weight.accumulate_grad(&dw);
weight.backward_step();
}
}
if let Some(bias) = &self.bias {
if bias.requires_grad() {
let mut db_data = vec![0.0; dim];
for i in 0..n_elements {
let offset = i * dim;
for j in 0..dim {
db_data[j] += grad_data[offset + j];
}
}
let db = Tensor::new(&db_data, bias.shape());
bias.accumulate_grad(&db);
bias.backward_step();
}
}
}
}
}
pub fn layer_norm(
input: &Tensor,
normalized_shape: &[usize],
weight: Option<&Tensor>,
bias: Option<&Tensor>,
eps: f32,
) -> Tensor {
// Assume normalized_shape is last D dims.
// Flatten input to (N, D_norm)
let shape = input.shape();
let norm_dims = normalized_shape.len();
if shape.len() < norm_dims {
panic!(
"LayerNorm: Input shape {:?} smaller than normalized shape {:?}",
shape, normalized_shape
);
}
// Check suffixes match
let start_dim = shape.len() - norm_dims;
if &shape[start_dim..] != normalized_shape {
panic!(
"LayerNorm: Input shape {:?} does not match normalized shape {:?}",
shape, normalized_shape
);
}
let outer_dim: usize = shape[0..start_dim].iter().product();
let inner_dim: usize = normalized_shape.iter().product(); // D
let input_guard = input.data();
let input_data = &*input_guard;
let weight_data = weight.map(|w| w.data());
let bias_data = bias.map(|b| b.data());
let mut output_data = vec![0.0; input_data.len()];
let mut means = vec![0.0; outer_dim];
let mut inv_stds = vec![0.0; outer_dim];
// Compute mean/var per outer instance
// Parallelize over outer_dim
// We need to return means/inv_stds, so maybe collect.
let stats: Vec<(f32, f32)> = (0..outer_dim)
.into_par_iter()
.map(|i| {
let offset = i * inner_dim;
let mut sum = 0.0;
let mut sq_sum = 0.0;
for j in 0..inner_dim {
let val = input_data[offset + j];
sum += val;
sq_sum += val * val;
}
let m = sum / inner_dim as f32;
let v = sq_sum / inner_dim as f32 - m * m;
let inv_s = 1.0 / (v + eps).sqrt();
(m, inv_s)
})
.collect();
for (i, (m, inv_s)) in stats.iter().enumerate() {
means[i] = *m;
inv_stds[i] = *inv_s;
let offset = i * inner_dim;
for j in 0..inner_dim {
let val = input_data[offset + j];
let x_hat = (val - m) * inv_s;
let g = if let Some(wd) = &weight_data {
wd[j]
} else {
1.0
};
let b = if let Some(bd) = &bias_data {
bd[j]
} else {
0.0
};
output_data[offset + j] = x_hat * g + b;
}
}
let storage = Storage::new(output_data);
let mut tensor = Tensor::new_with_storage(storage, shape);
if input.requires_grad()
|| weight.is_some_and(|w| w.requires_grad())
|| bias.is_some_and(|b| b.requires_grad())
{
tensor.set_requires_grad_mut(true);
// Store mean/inv_std for backward
// They are (OuterDim). We can store as (OuterDim) tensor.
let mean_tensor = Tensor::new(&means, &[outer_dim]); // Flattened stats
let inv_std_tensor = Tensor::new(&inv_stds, &[outer_dim]);
tensor.set_op(Arc::new(LayerNormBackward {
input: input.clone(),
weight: weight.cloned(),
bias: bias.cloned(),
mean: mean_tensor,
inv_std: inv_std_tensor,
normalized_shape: normalized_shape.to_vec(),
}));
}
tensor
}