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poulpy/base2k/src/mat_znx_dft_ops.rs
base2k/src/mat_znx_dft_ops.rsRaw
  1use crate::ffi::vec_znx_dft::vec_znx_dft_t;
  2use crate::ffi::vmp;
  3use crate::znx_base::{ZnxInfos, ZnxView, ZnxViewMut};
  4use crate::{
  5    Backend, FFT64, MatZnxDft, MatZnxDftOwned, MatZnxDftToMut, MatZnxDftToRef, Module, Scratch, VecZnxDft, VecZnxDftToMut,
  6    VecZnxDftToRef,
  7};
  8
  9pub trait MatZnxDftAlloc<B: Backend> {
 10    /// Allocates a new [MatZnxDft] with the given number of rows and columns.
 11    ///
 12    /// # Arguments
 13    ///
 14    /// * `rows`: number of rows (number of [VecZnxDft]).
 15    /// * `size`: number of size (number of size of each [VecZnxDft]).
 16    fn new_mat_znx_dft(&self, rows: usize, cols_in: usize, cols_out: usize, size: usize) -> MatZnxDftOwned<B>;
 17
 18    fn bytes_of_mat_znx_dft(&self, rows: usize, cols_in: usize, cols_out: usize, size: usize) -> usize;
 19
 20    fn new_mat_znx_dft_from_bytes(
 21        &self,
 22        rows: usize,
 23        cols_in: usize,
 24        cols_out: usize,
 25        size: usize,
 26        bytes: Vec<u8>,
 27    ) -> MatZnxDftOwned<B>;
 28}
 29
 30pub trait MatZnxDftScratch {
 31    /// Returns the size of the stratch space necessary for [MatZnxDftOps::vmp_apply_dft_to_dft].
 32    fn vmp_apply_tmp_bytes(
 33        &self,
 34        res_size: usize,
 35        a_size: usize,
 36        b_rows: usize,
 37        b_cols_in: usize,
 38        b_cols_out: usize,
 39        b_size: usize,
 40    ) -> usize;
 41}
 42
 43/// This trait implements methods for vector matrix product,
 44/// that is, multiplying a [VecZnx] with a [MatZnxDft].
 45pub trait MatZnxDftOps<BACKEND: Backend> {
 46    /// Prepares the ith-row of [MatZnxDft] from a [VecZnxDft].
 47    ///
 48    /// # Arguments
 49    ///
 50    /// * `b`: [MatZnxDft] on which the values are encoded.
 51    /// * `a`: the [VecZnxDft] to encode on the [MatZnxDft].
 52    /// * `row_i`: the index of the row to prepare.
 53    ///
 54    /// The size of buf can be obtained with [MatZnxDftOps::vmp_prepare_tmp_bytes].
 55    fn vmp_prepare_row<R, A>(&self, res: &mut R, res_row: usize, res_col_in: usize, a: &A)
 56    where
 57        R: MatZnxDftToMut<BACKEND>,
 58        A: VecZnxDftToRef<BACKEND>;
 59
 60    /// Extracts the ith-row of [MatZnxDft] into a [VecZnxDft].
 61    ///
 62    /// # Arguments
 63    ///
 64    /// * `b`: the [VecZnxDft] to on which to extract the row of the [MatZnxDft].
 65    /// * `a`: [MatZnxDft] on which the values are encoded.
 66    /// * `row_i`: the index of the row to extract.
 67    fn vmp_extract_row<R, A>(&self, res: &mut R, a: &A, a_row: usize, a_col_in: usize)
 68    where
 69        R: VecZnxDftToMut<BACKEND>,
 70        A: MatZnxDftToRef<BACKEND>;
 71
 72    /// Applies the vector matrix product [VecZnxDft] x [MatZnxDft].
 73    /// The size of `buf` is given by [MatZnxDftOps::vmp_apply_dft_to_dft_tmp_bytes].
 74    ///
 75    /// A vector matrix product is equivalent to a sum of [crate::SvpPPolOps::svp_apply_dft]
 76    /// where each [crate::Scalar] is a limb of the input [VecZnxDft] (equivalent to an [crate::SvpPPol])
 77    /// and each vector a [VecZnxDft] (row) of the [MatZnxDft].
 78    ///
 79    /// As such, given an input [VecZnx] of `i` size and a [MatZnxDft] of `i` rows and
 80    /// `j` size, the output is a [VecZnx] of `j` size.
 81    ///
 82    /// If there is a mismatch between the dimensions the largest valid ones are used.
 83    ///
 84    /// ```text
 85    /// |a b c d| x |e f g| = (a * |e f g| + b * |h i j| + c * |k l m|) = |n o p|
 86    ///             |h i j|
 87    ///             |k l m|
 88    /// ```
 89    /// where each element is a [VecZnxDft].
 90    ///
 91    /// # Arguments
 92    ///
 93    /// * `c`: the output of the vector matrix product, as a [VecZnxDft].
 94    /// * `a`: the left operand [VecZnxDft] of the vector matrix product.
 95    /// * `b`: the right operand [MatZnxDft] of the vector matrix product.
 96    /// * `buf`: scratch space, the size can be obtained with [MatZnxDftOps::vmp_apply_dft_to_dft_tmp_bytes].
 97    fn vmp_apply<R, A, B>(&self, res: &mut R, a: &A, b: &B, scratch: &mut Scratch)
 98    where
 99        R: VecZnxDftToMut<BACKEND>,
100        A: VecZnxDftToRef<BACKEND>,
101        B: MatZnxDftToRef<BACKEND>;
102}
103
104impl<B: Backend> MatZnxDftAlloc<B> for Module<B> {
105    fn bytes_of_mat_znx_dft(&self, rows: usize, cols_in: usize, cols_out: usize, size: usize) -> usize {
106        MatZnxDftOwned::bytes_of(self, rows, cols_in, cols_out, size)
107    }
108
109    fn new_mat_znx_dft(&self, rows: usize, cols_in: usize, cols_out: usize, size: usize) -> MatZnxDftOwned<B> {
110        MatZnxDftOwned::new(self, rows, cols_in, cols_out, size)
111    }
112
113    fn new_mat_znx_dft_from_bytes(
114        &self,
115        rows: usize,
116        cols_in: usize,
117        cols_out: usize,
118        size: usize,
119        bytes: Vec<u8>,
120    ) -> MatZnxDftOwned<B> {
121        MatZnxDftOwned::new_from_bytes(self, rows, cols_in, cols_out, size, bytes)
122    }
123}
124
125impl<BACKEND: Backend> MatZnxDftScratch for Module<BACKEND> {
126    fn vmp_apply_tmp_bytes(
127        &self,
128        res_size: usize,
129        a_size: usize,
130        b_rows: usize,
131        b_cols_in: usize,
132        b_cols_out: usize,
133        b_size: usize,
134    ) -> usize {
135        unsafe {
136            vmp::vmp_apply_dft_to_dft_tmp_bytes(
137                self.ptr,
138                (res_size * b_cols_out) as u64,
139                (a_size * b_cols_in) as u64,
140                (b_rows * b_cols_in) as u64,
141                (b_size * b_cols_out) as u64,
142            ) as usize
143        }
144    }
145}
146
147impl MatZnxDftOps<FFT64> for Module<FFT64> {
148    fn vmp_prepare_row<R, A>(&self, res: &mut R, res_row: usize, res_col_in: usize, a: &A)
149    where
150        R: MatZnxDftToMut<FFT64>,
151        A: VecZnxDftToRef<FFT64>,
152    {
153        let mut res: MatZnxDft<&mut [u8], _> = res.to_mut();
154        let a: VecZnxDft<&[u8], _> = a.to_ref();
155
156        #[cfg(debug_assertions)]
157        {
158            assert_eq!(res.n(), self.n());
159            assert_eq!(a.n(), self.n());
160            assert_eq!(
161                a.cols(),
162                res.cols_out(),
163                "a.cols(): {} != res.cols_out(): {}",
164                a.cols(),
165                res.cols_out()
166            );
167            assert!(
168                res_row < res.rows(),
169                "res_row: {} >= res.rows(): {}",
170                res_row,
171                res.rows()
172            );
173            assert!(
174                res_col_in < res.cols_in(),
175                "res_col_in: {} >= res.cols_in(): {}",
176                res_col_in,
177                res.cols_in()
178            );
179            assert_eq!(
180                res.size(),
181                a.size(),
182                "res.size(): {} != a.size(): {}",
183                res.size(),
184                a.size()
185            );
186        }
187
188        unsafe {
189            vmp::vmp_prepare_row_dft(
190                self.ptr,
191                res.as_mut_ptr() as *mut vmp::vmp_pmat_t,
192                a.as_ptr() as *const vec_znx_dft_t,
193                (res_row * res.cols_in() + res_col_in) as u64,
194                (res.rows() * res.cols_in()) as u64,
195                (res.size() * res.cols_out()) as u64,
196            );
197        }
198    }
199
200    fn vmp_extract_row<R, A>(&self, res: &mut R, a: &A, a_row: usize, a_col_in: usize)
201    where
202        R: VecZnxDftToMut<FFT64>,
203        A: MatZnxDftToRef<FFT64>,
204    {
205        let mut res: VecZnxDft<&mut [u8], _> = res.to_mut();
206        let a: MatZnxDft<&[u8], _> = a.to_ref();
207
208        #[cfg(debug_assertions)]
209        {
210            assert_eq!(res.n(), self.n());
211            assert_eq!(a.n(), self.n());
212            assert_eq!(
213                res.cols(),
214                a.cols_out(),
215                "res.cols(): {} != a.cols_out(): {}",
216                res.cols(),
217                a.cols_out()
218            );
219            assert!(
220                a_row < a.rows(),
221                "a_row: {} >= a.rows(): {}",
222                a_row,
223                a.rows()
224            );
225            assert!(
226                a_col_in < a.cols_in(),
227                "a_col_in: {} >= a.cols_in(): {}",
228                a_col_in,
229                a.cols_in()
230            );
231            assert_eq!(
232                res.size(),
233                a.size(),
234                "res.size(): {} != a.size(): {}",
235                res.size(),
236                a.size()
237            );
238        }
239        unsafe {
240            vmp::vmp_extract_row_dft(
241                self.ptr,
242                res.as_mut_ptr() as *mut vec_znx_dft_t,
243                a.as_ptr() as *const vmp::vmp_pmat_t,
244                (a_row * a.cols_in() + a_col_in) as u64,
245                (a.rows() * a.cols_in()) as u64,
246                (a.size() * a.cols_out()) as u64,
247            );
248        }
249    }
250
251    fn vmp_apply<R, A, B>(&self, res: &mut R, a: &A, b: &B, scratch: &mut Scratch)
252    where
253        R: VecZnxDftToMut<FFT64>,
254        A: VecZnxDftToRef<FFT64>,
255        B: MatZnxDftToRef<FFT64>,
256    {
257        let mut res: VecZnxDft<&mut [u8], _> = res.to_mut();
258        let a: VecZnxDft<&[u8], _> = a.to_ref();
259        let b: MatZnxDft<&[u8], _> = b.to_ref();
260
261        #[cfg(debug_assertions)]
262        {
263            assert_eq!(res.n(), self.n());
264            assert_eq!(b.n(), self.n());
265            assert_eq!(a.n(), self.n());
266            assert_eq!(
267                res.cols(),
268                b.cols_out(),
269                "res.cols(): {} != b.cols_out: {}",
270                res.cols(),
271                b.cols_out()
272            );
273            assert_eq!(
274                a.cols(),
275                b.cols_in(),
276                "a.cols(): {} != b.cols_in: {}",
277                a.cols(),
278                b.cols_in()
279            );
280        }
281
282        let (tmp_bytes, _) = scratch.tmp_slice(self.vmp_apply_tmp_bytes(
283            res.size(),
284            a.size(),
285            b.rows(),
286            b.cols_in(),
287            b.cols_out(),
288            b.size(),
289        ));
290        unsafe {
291            vmp::vmp_apply_dft_to_dft(
292                self.ptr,
293                res.as_mut_ptr() as *mut vec_znx_dft_t,
294                (res.size() * res.cols()) as u64,
295                a.as_ptr() as *const vec_znx_dft_t,
296                (a.size() * a.cols()) as u64,
297                b.as_ptr() as *const vmp::vmp_pmat_t,
298                (b.rows() * b.cols_in()) as u64,
299                (b.size() * b.cols_out()) as u64,
300                tmp_bytes.as_mut_ptr(),
301            )
302        }
303    }
304}
305#[cfg(test)]
306mod tests {
307    use crate::{
308        Decoding, FFT64, FillUniform, MatZnxDft, MatZnxDftOps, Module, ScratchOwned, VecZnx, VecZnxAlloc, VecZnxBig,
309        VecZnxBigAlloc, VecZnxBigOps, VecZnxBigScratch, VecZnxDft, VecZnxDftAlloc, VecZnxDftOps, ZnxInfos, ZnxView, ZnxViewMut,
310    };
311    use sampling::source::Source;
312
313    use super::{MatZnxDftAlloc, MatZnxDftScratch};
314
315    #[test]
316    fn vmp_prepare_row() {
317        let module: Module<FFT64> = Module::<FFT64>::new(16);
318        let log_base2k: usize = 8;
319        let mat_rows: usize = 4;
320        let mat_cols_in: usize = 2;
321        let mat_cols_out: usize = 2;
322        let mat_size: usize = 5;
323        let mut a: VecZnx<Vec<u8>> = module.new_vec_znx(mat_cols_out, mat_size);
324        let mut a_dft: VecZnxDft<Vec<u8>, FFT64> = module.new_vec_znx_dft(mat_cols_out, mat_size);
325        let mut b_dft: VecZnxDft<Vec<u8>, FFT64> = module.new_vec_znx_dft(mat_cols_out, mat_size);
326        let mut mat: MatZnxDft<Vec<u8>, FFT64> = module.new_mat_znx_dft(mat_rows, mat_cols_in, mat_cols_out, mat_size);
327
328        for col_in in 0..mat_cols_in {
329            for row_i in 0..mat_rows {
330                let mut source: Source = Source::new([0u8; 32]);
331                (0..mat_cols_out).for_each(|col_out| {
332                    a.fill_uniform(log_base2k, col_out, mat_size, &mut source);
333                    module.vec_znx_dft(&mut a_dft, col_out, &a, col_out);
334                });
335                module.vmp_prepare_row(&mut mat, row_i, col_in, &a_dft);
336                module.vmp_extract_row(&mut b_dft, &mat, row_i, col_in);
337                assert_eq!(a_dft.raw(), b_dft.raw());
338            }
339        }
340
341        module.free();
342    }
343
344    #[test]
345    fn vmp_apply() {
346        let log_n: i32 = 5;
347        let n: usize = 1 << log_n;
348
349        let module: Module<FFT64> = Module::<FFT64>::new(n);
350        let log_base2k: usize = 15;
351        let a_size: usize = 5;
352        let mat_size: usize = 6;
353        let res_size: usize = 5;
354
355        [1, 2].iter().for_each(|in_cols| {
356            [1, 2].iter().for_each(|out_cols| {
357                let a_cols: usize = *in_cols;
358                let res_cols: usize = *out_cols;
359
360                let mat_rows: usize = a_size;
361                let mat_cols_in: usize = a_cols;
362                let mat_cols_out: usize = res_cols;
363                let res_cols: usize = mat_cols_out;
364
365                let mut scratch: ScratchOwned = ScratchOwned::new(
366                    module.vmp_apply_tmp_bytes(
367                        res_size,
368                        a_size,
369                        mat_rows,
370                        mat_cols_in,
371                        mat_cols_out,
372                        mat_size,
373                    ) | module.vec_znx_big_normalize_tmp_bytes(),
374                );
375
376                let mut a: VecZnx<Vec<u8>> = module.new_vec_znx(a_cols, a_size);
377
378                (0..a_cols).for_each(|i| {
379                    a.at_mut(i, 2)[i + 1] = 1;
380                });
381
382                let mut mat_znx_dft: MatZnxDft<Vec<u8>, FFT64> =
383                    module.new_mat_znx_dft(mat_rows, mat_cols_in, mat_cols_out, mat_size);
384
385                let mut c_dft: VecZnxDft<Vec<u8>, FFT64> = module.new_vec_znx_dft(mat_cols_out, mat_size);
386                let mut c_big: VecZnxBig<Vec<u8>, FFT64> = module.new_vec_znx_big(mat_cols_out, mat_size);
387
388                let mut tmp: VecZnx<Vec<u8>> = module.new_vec_znx(mat_cols_out, mat_size);
389
390                // Construts a [VecZnxMatDft] that performs cyclic rotations on each submatrix.
391                (0..a.size()).for_each(|row_i| {
392                    (0..mat_cols_in).for_each(|col_in_i| {
393                        (0..mat_cols_out).for_each(|col_out_i| {
394                            let idx = 1 + col_in_i * mat_cols_out + col_out_i;
395                            tmp.at_mut(col_out_i, row_i)[idx] = 1 as i64; // X^{idx}
396                            module.vec_znx_dft(&mut c_dft, col_out_i, &tmp, col_out_i);
397                            tmp.at_mut(col_out_i, row_i)[idx] = 0 as i64;
398                        });
399                        module.vmp_prepare_row(&mut mat_znx_dft, row_i, col_in_i, &c_dft);
400                    });
401                });
402
403                let mut a_dft: VecZnxDft<Vec<u8>, FFT64> = module.new_vec_znx_dft(a_cols, a_size);
404                (0..a_cols).for_each(|i| {
405                    module.vec_znx_dft(&mut a_dft, i, &a, i);
406                });
407
408                module.vmp_apply(&mut c_dft, &a_dft, &mat_znx_dft, scratch.borrow());
409
410                let mut res_have_vi64: Vec<i64> = vec![i64::default(); n];
411
412                let mut res_have: VecZnx<Vec<u8>> = module.new_vec_znx(res_cols, res_size);
413                (0..mat_cols_out).for_each(|i| {
414                    module.vec_znx_idft_tmp_a(&mut c_big, i, &mut c_dft, i);
415                    module.vec_znx_big_normalize(log_base2k, &mut res_have, i, &c_big, i, scratch.borrow());
416                });
417
418                (0..mat_cols_out).for_each(|col_i| {
419                    let mut res_want_vi64: Vec<i64> = vec![i64::default(); n];
420                    (0..a_cols).for_each(|i| {
421                        res_want_vi64[(i + 1) + (1 + i * mat_cols_out + col_i)] = 1;
422                    });
423                    res_have.decode_vec_i64(col_i, log_base2k, log_base2k * 3, &mut res_have_vi64);
424                    assert_eq!(res_have_vi64, res_want_vi64);
425                });
426            });
427        });
428
429        module.free();
430    }
431}