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//! 3D Fast Fourier Transform operations
//!
//! This module provides 3D FFT implementations including forward FFT and inverse FFT
//! operations with both CPU and GPU acceleration support.
use crate::tensor::TensorStorage;
use crate::{Result, Tensor, TensorError};
use num_complex::Complex;
use oxifft::{Direction, Flags, Plan};
use scirs2_core::ndarray::{ArrayD, IxDyn};
use scirs2_core::numeric::{Float, FromPrimitive, Signed, Zero};
use std::fmt::Debug;
// GPU FFT kernels are not yet implemented, using CPU fallbacks
/// Convert num_complex slice to oxifft Complex slice
/// Both types have identical #[repr(C)] memory layout, making this conversion safe
#[inline]
fn to_oxifft_complex<T: oxifft::Float>(data: &[Complex<T>]) -> &[oxifft::kernel::Complex<T>] {
// Safety: Both num_complex::Complex and oxifft::Complex have #[repr(C)] layout
// with identical memory representation (re: T, im: T)
unsafe {
std::slice::from_raw_parts(
data.as_ptr() as *const oxifft::kernel::Complex<T>,
data.len(),
)
}
}
/// Convert num_complex mutable slice to oxifft Complex mutable slice
/// Both types have identical #[repr(C)] memory layout, making this conversion safe
#[inline]
fn to_oxifft_complex_mut<T: oxifft::Float>(
data: &mut [Complex<T>],
) -> &mut [oxifft::kernel::Complex<T>] {
// Safety: Both num_complex::Complex and oxifft::Complex have #[repr(C)] layout
// with identical memory representation (re: T, im: T)
unsafe {
std::slice::from_raw_parts_mut(
data.as_mut_ptr() as *mut oxifft::kernel::Complex<T>,
data.len(),
)
}
}
/// 3D FFT along the last three axes
pub fn fft3<T>(input: &Tensor<T>) -> Result<Tensor<Complex<T>>>
where
T: Float
+ Send
+ Sync
+ 'static
+ FromPrimitive
+ Signed
+ Debug
+ Default
+ bytemuck::Pod
+ bytemuck::Zeroable
+ oxifft::Float,
Complex<T>: Default,
{
match &input.storage {
TensorStorage::Cpu(arr) => {
let shape = arr.shape();
let ndim = shape.len();
if ndim < 3 {
return Err(TensorError::InvalidShape {
operation: "fft3".to_string(),
reason: "FFT3 requires at least 3D input".to_string(),
shape: Some(shape.to_vec()),
context: None,
});
}
let depth = shape[ndim - 3];
let height = shape[ndim - 2];
let width = shape[ndim - 1];
let fft_width =
Plan::dft_1d(width, Direction::Forward, Flags::ESTIMATE).ok_or_else(|| {
TensorError::InvalidShape {
operation: "fft3".to_string(),
reason: "Failed to create width FFT plan".to_string(),
shape: Some(shape.to_vec()),
context: None,
}
})?;
let fft_height =
Plan::dft_1d(height, Direction::Forward, Flags::ESTIMATE).ok_or_else(|| {
TensorError::InvalidShape {
operation: "fft3".to_string(),
reason: "Failed to create height FFT plan".to_string(),
shape: Some(shape.to_vec()),
context: None,
}
})?;
let fft_depth =
Plan::dft_1d(depth, Direction::Forward, Flags::ESTIMATE).ok_or_else(|| {
TensorError::InvalidShape {
operation: "fft3".to_string(),
reason: "Failed to create depth FFT plan".to_string(),
shape: Some(shape.to_vec()),
context: None,
}
})?;
// Calculate the number of 3D volumes to process
let total_elements: usize = shape.iter().product();
let elements_per_volume = depth * height * width;
let num_volumes = total_elements / elements_per_volume;
// Convert input to complex and prepare output
let mut output_data = vec![Complex::zero(); total_elements];
if let Some(input_slice) = arr.as_slice() {
for volume_idx in 0..num_volumes {
let volume_start = volume_idx * elements_per_volume;
// Create a temporary buffer for this 3D volume
let mut volume_data: Vec<Complex<T>> = input_slice
[volume_start..volume_start + elements_per_volume]
.iter()
.map(|&x| Complex::new(x, T::zero()))
.collect();
// Apply FFT along width (last dimension)
for d in 0..depth {
for h in 0..height {
let row_start = (d * height + h) * width;
let row_end = row_start + width;
let mut row_input = volume_data[row_start..row_end].to_vec();
let mut row_output = vec![Complex::zero(); width];
fft_width.execute(
to_oxifft_complex(&row_input),
to_oxifft_complex_mut(&mut row_output),
);
volume_data[row_start..row_end].copy_from_slice(&row_output);
}
}
// Apply FFT along height (second-to-last dimension)
for d in 0..depth {
for w in 0..width {
let mut col_input = Vec::with_capacity(height);
for h in 0..height {
col_input.push(volume_data[(d * height + h) * width + w]);
}
let mut col_output = vec![Complex::zero(); height];
fft_height.execute(
to_oxifft_complex(&col_input),
to_oxifft_complex_mut(&mut col_output),
);
for (h, &val) in col_output.iter().enumerate() {
volume_data[(d * height + h) * width + w] = val;
}
}
}
// Apply FFT along depth (third-to-last dimension)
for h in 0..height {
for w in 0..width {
let mut depth_input = Vec::with_capacity(depth);
for d in 0..depth {
depth_input.push(volume_data[(d * height + h) * width + w]);
}
let mut depth_output = vec![Complex::zero(); depth];
fft_depth.execute(
to_oxifft_complex(&depth_input),
to_oxifft_complex_mut(&mut depth_output),
);
for (d, &val) in depth_output.iter().enumerate() {
volume_data[(d * height + h) * width + w] = val;
}
}
}
// Copy result back to output
output_data[volume_start..volume_start + elements_per_volume]
.copy_from_slice(&volume_data);
}
// Create output tensor
let output_array =
ArrayD::from_shape_vec(IxDyn(shape), output_data).map_err(|e| {
TensorError::InvalidShape {
operation: "fft".to_string(),
reason: e.to_string(),
shape: None,
context: None,
}
})?;
Ok(Tensor::from_array(output_array))
} else {
Err(TensorError::unsupported_operation_simple(
"Cannot get slice from input array".to_string(),
))
}
}
#[cfg(feature = "gpu")]
TensorStorage::Gpu(_gpu_buffer) => {
// GPU FFT3 not yet implemented, fallback to CPU
let cpu_tensor = input.to_cpu()?;
fft3(&cpu_tensor)
}
}
}
/// 3D inverse FFT along the last three axes
pub fn ifft3<T>(input: &Tensor<Complex<T>>) -> Result<Tensor<Complex<T>>>
where
T: Float
+ Send
+ Sync
+ 'static
+ FromPrimitive
+ Signed
+ Debug
+ Default
+ bytemuck::Pod
+ bytemuck::Zeroable
+ oxifft::Float,
Complex<T>: Default,
{
match &input.storage {
TensorStorage::Cpu(arr) => {
let shape = arr.shape();
let ndim = shape.len();
if ndim < 3 {
return Err(TensorError::InvalidShape {
operation: "ifft3".to_string(),
reason: "IFFT3 requires at least 3D input".to_string(),
shape: Some(shape.to_vec()),
context: None,
});
}
let depth = shape[ndim - 3];
let height = shape[ndim - 2];
let width = shape[ndim - 1];
let ifft_width =
Plan::dft_1d(width, Direction::Backward, Flags::ESTIMATE).ok_or_else(|| {
TensorError::InvalidShape {
operation: "ifft3".to_string(),
reason: "Failed to create width IFFT plan".to_string(),
shape: Some(shape.to_vec()),
context: None,
}
})?;
let ifft_height = Plan::dft_1d(height, Direction::Backward, Flags::ESTIMATE)
.ok_or_else(|| TensorError::InvalidShape {
operation: "ifft3".to_string(),
reason: "Failed to create height IFFT plan".to_string(),
shape: Some(shape.to_vec()),
context: None,
})?;
let ifft_depth =
Plan::dft_1d(depth, Direction::Backward, Flags::ESTIMATE).ok_or_else(|| {
TensorError::InvalidShape {
operation: "ifft3".to_string(),
reason: "Failed to create depth IFFT plan".to_string(),
shape: Some(shape.to_vec()),
context: None,
}
})?;
// Calculate the number of 3D volumes to process
let total_elements: usize = shape.iter().product();
let elements_per_volume = depth * height * width;
let num_volumes = total_elements / elements_per_volume;
// Prepare output
let mut output_data = vec![Complex::zero(); total_elements];
if let Some(input_slice) = arr.as_slice() {
for volume_idx in 0..num_volumes {
let volume_start = volume_idx * elements_per_volume;
// Create a temporary buffer for this 3D volume
let mut volume_data =
input_slice[volume_start..volume_start + elements_per_volume].to_vec();
// Apply IFFT along width (last dimension)
for d in 0..depth {
for h in 0..height {
let row_start = (d * height + h) * width;
let row_end = row_start + width;
let mut row_input = volume_data[row_start..row_end].to_vec();
let mut row_output = vec![Complex::zero(); width];
ifft_width.execute(
to_oxifft_complex(&row_input),
to_oxifft_complex_mut(&mut row_output),
);
// Normalize by width
let width_t =
T::from(width).expect("width should convert to float type");
for val in &mut row_output {
*val /= width_t;
}
volume_data[row_start..row_end].copy_from_slice(&row_output);
}
}
// Apply IFFT along height (second-to-last dimension)
for d in 0..depth {
for w in 0..width {
let mut col_input = Vec::with_capacity(height);
for h in 0..height {
col_input.push(volume_data[(d * height + h) * width + w]);
}
let mut col_output = vec![Complex::zero(); height];
ifft_height.execute(
to_oxifft_complex(&col_input),
to_oxifft_complex_mut(&mut col_output),
);
// Normalize by height
let height_t =
T::from(height).expect("height should convert to float type");
for val in &mut col_output {
*val /= height_t;
}
for (h, &val) in col_output.iter().enumerate() {
volume_data[(d * height + h) * width + w] = val;
}
}
}
// Apply IFFT along depth (third-to-last dimension)
for h in 0..height {
for w in 0..width {
let mut depth_input = Vec::with_capacity(depth);
for d in 0..depth {
depth_input.push(volume_data[(d * height + h) * width + w]);
}
let mut depth_output = vec![Complex::zero(); depth];
ifft_depth.execute(
to_oxifft_complex(&depth_input),
to_oxifft_complex_mut(&mut depth_output),
);
// Normalize by depth
let depth_t =
T::from(depth).expect("depth should convert to float type");
for val in &mut depth_output {
*val /= depth_t;
}
for (d, &val) in depth_output.iter().enumerate() {
volume_data[(d * height + h) * width + w] = val;
}
}
}
// Copy result back to output
output_data[volume_start..volume_start + elements_per_volume]
.copy_from_slice(&volume_data);
}
// Create output tensor
let output_array =
ArrayD::from_shape_vec(IxDyn(shape), output_data).map_err(|e| {
TensorError::InvalidShape {
operation: "fft".to_string(),
reason: e.to_string(),
shape: None,
context: None,
}
})?;
Ok(Tensor::from_array(output_array))
} else {
Err(TensorError::unsupported_operation_simple(
"Cannot get slice from input array".to_string(),
))
}
}
#[cfg(feature = "gpu")]
TensorStorage::Gpu(_gpu_buffer) => {
// GPU IFFT3 not yet implemented
Err(TensorError::unsupported_operation_simple(
"GPU IFFT3 not yet implemented".to_string(),
))
}
}
}