arnaucube
arnaucube/poulpyPublic Self-hosted repository
poulpy/base2k/src/vmp.rs
base2k/src/vmp.rsRaw
  1use crate::ffi::vmp;
  2use crate::{Infos, Module, VecZnx, VecZnxDft};
  3use std::cmp::min;
  4
  5/// Vector Matrix Product Prepared Matrix: a vector of [VecZnx],
  6/// stored as a 3D matrix in the DFT domain in a single contiguous array.
  7/// Each row of the [VmpPMat] can be seen as a [VecZnxDft].
  8///
  9/// The backend array of [VmpPMat] is allocate in C,
 10/// and thus must be manually freed.
 11///
 12/// [VmpPMat] is used to permform a vector matrix product between a [VecZnx] and a [VmpPMat].
 13/// See the trait [VmpPMatOps] for additional information.
 14pub struct VmpPMat {
 15    /// The pointer to the C memory.
 16    pub data: *mut vmp::vmp_pmat_t,
 17    /// The number of [VecZnxDft].
 18    pub rows: usize,
 19    /// The number of limbs in each [VecZnxDft].      
 20    pub cols: usize,
 21    /// The ring degree of each [VecZnxDft].      
 22    pub n: usize,
 23}
 24
 25impl VmpPMat {
 26    /// Returns the pointer to the [vmp_pmat_t].
 27    pub fn data(&self) -> *mut vmp::vmp_pmat_t {
 28        self.data
 29    }
 30
 31    /// Returns a copy of the backend array at index (i, j) of the [VmpPMat].
 32    /// When using [`crate::FFT64`] as backend, `T` should be [f64].
 33    /// When using [`crate::NTT120`] as backend, `T` should be [i64].
 34    ///
 35    /// # Arguments
 36    ///
 37    /// * `row`: row index (i).
 38    /// * `col`: col index (j).
 39    pub fn at<T: Default + Copy>(&self, row: usize, col: usize) -> Vec<T> {
 40        let mut res: Vec<T> = vec![T::default(); self.n];
 41
 42        if self.n < 8 {
 43            res.copy_from_slice(
 44                &self.get_backend_array::<T>()[(row + col * self.rows()) * self.n()
 45                    ..(row + col * self.rows()) * (self.n() + 1)],
 46            );
 47        } else {
 48            (0..self.n >> 3).for_each(|blk| {
 49                res[blk * 8..(blk + 1) * 8].copy_from_slice(&self.get_array(row, col, blk)[..8]);
 50            });
 51        }
 52
 53        res
 54    }
 55
 56    /// When using [`crate::FFT64`] as backend, `T` should be [f64].
 57    /// When using [`crate::NTT120`] as backend, `T` should be [i64].
 58    fn get_array<T>(&self, row: usize, col: usize, blk: usize) -> &[T] {
 59        let nrows: usize = self.rows();
 60        let ncols: usize = self.cols();
 61        if col == (ncols - 1) && (ncols & 1 == 1) {
 62            &self.get_backend_array::<T>()[blk * nrows * ncols * 8 + col * nrows * 8 + row * 8..]
 63        } else {
 64            &self.get_backend_array::<T>()[blk * nrows * ncols * 8
 65                + (col / 2) * (2 * nrows) * 8
 66                + row * 2 * 8
 67                + (col % 2) * 8..]
 68        }
 69    }
 70
 71    /// Returns a non-mutable reference of `T` of the entire contiguous array of the [VmpPMat].
 72    /// When using [`crate::FFT64`] as backend, `T` should be [f64].
 73    /// When using [`crate::NTT120`] as backend, `T` should be [i64].
 74    /// The length of the returned array is rows * cols * n.
 75    pub fn get_backend_array<T>(&self) -> &[T] {
 76        let ptr: *const T = self.data as *const T;
 77        let len: usize = (self.rows() * self.cols() * self.n() * 8) / std::mem::size_of::<T>();
 78        unsafe { &std::slice::from_raw_parts(ptr, len) }
 79    }
 80}
 81
 82/// This trait implements methods for vector matrix product,
 83/// that is, multiplying a [VecZnx] with a [VmpPMat].
 84pub trait VmpPMatOps {
 85    /// Allocates a new [VmpPMat] with the given number of rows and columns.
 86    ///
 87    /// # Arguments
 88    ///
 89    /// * `rows`: number of rows (number of [VecZnxDft]).
 90    /// * `cols`: number of cols (number of limbs of each [VecZnxDft]).
 91    fn new_vmp_pmat(&self, rows: usize, cols: usize) -> VmpPMat;
 92
 93    /// Returns the number of bytes needed as scratch space for [VmpPMatOps::vmp_prepare_contiguous].
 94    ///
 95    /// # Arguments
 96    ///
 97    /// * `rows`: number of rows of the [VmpPMat] used in [VmpPMatOps::vmp_prepare_contiguous].
 98    /// * `cols`: number of cols of the [VmpPMat] used in [VmpPMatOps::vmp_prepare_contiguous].
 99    fn vmp_prepare_tmp_bytes(&self, rows: usize, cols: usize) -> usize;
100
101    /// Prepares a [VmpPMat] from a contiguous array of [i64].
102    /// The helper struct [Matrix3D] can be used to contruct and populate
103    /// the appropriate contiguous array.
104    ///
105    /// # Arguments
106    ///
107    /// * `b`: [VmpPMat] on which the values are encoded.
108    /// * `a`: the contiguous array of [i64] of the 3D matrix to encode on the [VmpPMat].
109    /// * `buf`: scratch space, the size of buf can be obtained with [VmpPMatOps::vmp_prepare_tmp_bytes].
110    ///
111    /// # Example
112    /// ```
113    /// use base2k::{Module, Matrix3D, VmpPMat, VmpPMatOps, FFT64, Free};
114    /// use std::cmp::min;
115    ///
116    /// let n: usize = 1024;
117    /// let module = Module::new::<FFT64>(n);
118    /// let rows = 5;
119    /// let cols = 6;
120    ///
121    /// let mut b_mat: Matrix3D<i64> = Matrix3D::new(rows, cols, n);
122    ///
123    /// // Populates the i-th row of b_math with X^1 * 2^(i * log_w) (here log_w is undefined)
124    /// (0..min(rows, cols)).for_each(|i| {
125    ///    b_mat.at_mut(i, i)[1] = 1 as i64;
126    /// });
127    ///
128    /// let mut buf: Vec<u8> = vec![u8::default(); module.vmp_prepare_tmp_bytes(rows, cols)];
129    ///
130    /// let mut vmp_pmat: VmpPMat = module.new_vmp_pmat(rows, cols);
131    /// module.vmp_prepare_contiguous(&mut vmp_pmat, &b_mat.data, &mut buf);
132    ///
133    /// vmp_pmat.free() // don't forget to free the memory once vmp_pmat is not needed anymore.
134    /// ```
135    fn vmp_prepare_contiguous(&self, b: &mut VmpPMat, a: &[i64], buf: &mut [u8]);
136
137    /// Prepares a [VmpPMat] from a vector of [VecZnx].
138    ///
139    /// # Arguments
140    ///
141    /// * `b`: [VmpPMat] on which the values are encoded.
142    /// * `a`: the vector of [VecZnx] to encode on the [VmpPMat].
143    /// * `buf`: scratch space, the size of buf can be obtained with [VmpPMatOps::vmp_prepare_tmp_bytes].
144    ///
145    /// The size of buf can be obtained with [VmpPMatOps::vmp_prepare_tmp_bytes].
146    ///
147    /// # Example
148    /// ```
149    /// use base2k::{Module, FFT64, Matrix3D, VmpPMat, VmpPMatOps, VecZnx, VecZnxOps, Free};
150    /// use std::cmp::min;
151    ///
152    /// let n: usize = 1024;
153    /// let module: Module = Module::new::<FFT64>(n);
154    /// let rows: usize = 5;
155    /// let cols: usize = 6;
156    ///
157    /// let mut vecznx: Vec<VecZnx>= Vec::new();
158    /// (0..rows).for_each(|_|{
159    ///     vecznx.push(module.new_vec_znx(cols));
160    /// });
161    ///
162    /// let dble: Vec<&[i64]> = vecznx.iter().map(|v| v.data.as_slice()).collect();
163    ///
164    /// let mut buf: Vec<u8> = vec![u8::default(); module.vmp_prepare_tmp_bytes(rows, cols)];
165    ///
166    /// let mut vmp_pmat: VmpPMat = module.new_vmp_pmat(rows, cols);
167    /// module.vmp_prepare_dblptr(&mut vmp_pmat, &dble, &mut buf);
168    ///
169    /// vmp_pmat.free();
170    /// module.free();
171    /// ```
172    fn vmp_prepare_dblptr(&self, b: &mut VmpPMat, a: &[&[i64]], buf: &mut [u8]);
173
174    /// Prepares the ith-row of [VmpPMat] from a vector of [VecZnx].
175    ///
176    /// # Arguments
177    ///
178    /// * `b`: [VmpPMat] on which the values are encoded.
179    /// * `a`: the vector of [VecZnx] to encode on the [VmpPMat].
180    /// * `row_i`: the index of the row to prepare.
181    /// * `buf`: scratch space, the size of buf can be obtained with [VmpPMatOps::vmp_prepare_tmp_bytes].
182    ///
183    /// The size of buf can be obtained with [VmpPMatOps::vmp_prepare_tmp_bytes].
184    /// /// # Example
185    /// ```
186    /// use base2k::{Module, FFT64, Matrix3D, VmpPMat, VmpPMatOps, VecZnx, VecZnxOps, Free};
187    /// use std::cmp::min;
188    ///
189    /// let n: usize = 1024;
190    /// let module: Module = Module::new::<FFT64>(n);
191    /// let rows: usize = 5;
192    /// let cols: usize = 6;
193    ///
194    /// let vecznx = vec![0i64; cols*n];
195    ///
196    /// let mut buf: Vec<u8> = vec![u8::default(); module.vmp_prepare_tmp_bytes(rows, cols)];
197    ///
198    /// let mut vmp_pmat: VmpPMat = module.new_vmp_pmat(rows, cols);
199    /// module.vmp_prepare_row(&mut vmp_pmat, &vecznx, 0, &mut buf);
200    ///
201    /// vmp_pmat.free();
202    /// module.free();
203    /// ```
204    fn vmp_prepare_row(&self, b: &mut VmpPMat, a: &[i64], row_i: usize, tmp_bytes: &mut [u8]);
205
206    /// Returns the size of the stratch space necessary for [VmpPMatOps::vmp_apply_dft].
207    ///
208    /// # Arguments
209    ///
210    /// * `c_limbs`: number of limbs of the output [VecZnxDft].
211    /// * `a_limbs`: number of limbs of the input [VecZnx].
212    /// * `rows`: number of rows of the input [VmpPMat].
213    /// * `cols`: number of cols of the input [VmpPMat].
214    fn vmp_apply_dft_tmp_bytes(
215        &self,
216        c_limbs: usize,
217        a_limbs: usize,
218        rows: usize,
219        cols: usize,
220    ) -> usize;
221
222    /// Applies the vector matrix product [VecZnxDft] x [VmpPMat].
223    ///
224    /// A vector matrix product is equivalent to a sum of [crate::SvpPPolOps::svp_apply_dft]
225    /// where each [crate::Scalar] is a limb of the input [VecZnxDft] (equivalent to an [crate::SvpPPol])
226    /// and each vector a [VecZnxDft] (row) of the [VmpPMat].
227    ///
228    /// As such, given an input [VecZnx] of `i` limbs and a [VmpPMat] of `i` rows and
229    /// `j` cols, the output is a [VecZnx] of `j` limbs.
230    ///
231    /// If there is a mismatch between the dimensions the largest valid ones are used.
232    ///
233    /// ```text
234    /// |a b c d| x |e f g| = (a * |e f g| + b * |h i j| + c * |k l m|) = |n o p|
235    ///             |h i j|
236    ///             |k l m|
237    /// ```
238    /// where each element is a [VecZnxDft].
239    ///
240    /// # Arguments
241    ///
242    /// * `c`: the output of the vector matrix product, as a [VecZnxDft].
243    /// * `a`: the left operand [VecZnx] of the vector matrix product.
244    /// * `b`: the right operand [VmpPMat] of the vector matrix product.
245    /// * `buf`: scratch space, the size can be obtained with [VmpPMatOps::vmp_apply_dft_tmp_bytes].
246    ///
247    /// # Example
248    /// ```
249    /// use base2k::{Module, VecZnx, VecZnxOps, VecZnxDft, VmpPMat, VmpPMatOps, FFT64, Free};
250    ///
251    /// let n = 1024;
252    ///
253    /// let module: Module = Module::new::<FFT64>(n);
254    /// let limbs: usize = 5;
255    ///
256    /// let rows: usize = limbs;
257    /// let cols: usize = limbs + 1;
258    /// let c_limbs: usize = cols;
259    /// let a_limbs: usize = limbs;
260    /// let tmp_bytes: usize = module.vmp_apply_dft_tmp_bytes(c_limbs, a_limbs, rows, cols);
261    ///
262    /// let mut buf: Vec<u8> = vec![0; tmp_bytes];
263    /// let mut vmp_pmat: VmpPMat = module.new_vmp_pmat(rows, cols);
264    ///
265    /// let a: VecZnx = module.new_vec_znx(limbs);
266    /// let mut c_dft: VecZnxDft = module.new_vec_znx_dft(cols);
267    /// module.vmp_apply_dft(&mut c_dft, &a, &vmp_pmat, &mut buf);
268    ///
269    /// c_dft.free();
270    /// vmp_pmat.free();
271    /// module.free();
272    /// ```
273    fn vmp_apply_dft(&self, c: &mut VecZnxDft, a: &VecZnx, b: &VmpPMat, buf: &mut [u8]);
274
275    /// Returns the size of the stratch space necessary for [VmpPMatOps::vmp_apply_dft_to_dft].
276    ///
277    /// # Arguments
278    ///
279    /// * `c_limbs`: number of limbs of the output [VecZnxDft].
280    /// * `a_limbs`: number of limbs of the input [VecZnxDft].
281    /// * `rows`: number of rows of the input [VmpPMat].
282    /// * `cols`: number of cols of the input [VmpPMat].
283    fn vmp_apply_dft_to_dft_tmp_bytes(
284        &self,
285        c_limbs: usize,
286        a_limbs: usize,
287        rows: usize,
288        cols: usize,
289    ) -> usize;
290
291    /// Applies the vector matrix product [VecZnxDft] x [VmpPMat].
292    /// The size of `buf` is given by [VmpPMatOps::vmp_apply_dft_to_dft_tmp_bytes].
293    ///
294    /// A vector matrix product is equivalent to a sum of [crate::SvpPPolOps::svp_apply_dft]
295    /// where each [crate::Scalar] is a limb of the input [VecZnxDft] (equivalent to an [crate::SvpPPol])
296    /// and each vector a [VecZnxDft] (row) of the [VmpPMat].
297    ///
298    /// As such, given an input [VecZnx] of `i` limbs and a [VmpPMat] of `i` rows and
299    /// `j` cols, the output is a [VecZnx] of `j` limbs.
300    ///
301    /// If there is a mismatch between the dimensions the largest valid ones are used.
302    ///
303    /// ```text
304    /// |a b c d| x |e f g| = (a * |e f g| + b * |h i j| + c * |k l m|) = |n o p|
305    ///             |h i j|
306    ///             |k l m|
307    /// ```
308    /// where each element is a [VecZnxDft].
309    ///
310    /// # Arguments
311    ///
312    /// * `c`: the output of the vector matrix product, as a [VecZnxDft].
313    /// * `a`: the left operand [VecZnxDft] of the vector matrix product.
314    /// * `b`: the right operand [VmpPMat] of the vector matrix product.
315    /// * `buf`: scratch space, the size can be obtained with [VmpPMatOps::vmp_apply_dft_to_dft_tmp_bytes].
316    ///
317    /// # Example
318    /// ```
319    /// use base2k::{Module, VecZnx, VecZnxDft, VmpPMat, VmpPMatOps, FFT64, Free};
320    ///
321    /// let n = 1024;
322    ///
323    /// let module: Module = Module::new::<FFT64>(n);
324    /// let limbs: usize = 5;
325    ///
326    /// let rows: usize = limbs;
327    /// let cols: usize = limbs + 1;
328    /// let c_limbs: usize = cols;
329    /// let a_limbs: usize = limbs;
330    /// let tmp_bytes: usize = module.vmp_apply_dft_to_dft_tmp_bytes(c_limbs, a_limbs, rows, cols);
331    ///
332    /// let mut buf: Vec<u8> = vec![0; tmp_bytes];
333    /// let mut vmp_pmat: VmpPMat = module.new_vmp_pmat(rows, cols);
334    ///
335    /// let a_dft: VecZnxDft = module.new_vec_znx_dft(limbs);
336    /// let mut c_dft: VecZnxDft = module.new_vec_znx_dft(cols);
337    /// module.vmp_apply_dft_to_dft(&mut c_dft, &a_dft, &vmp_pmat, &mut buf);
338    ///
339    /// a_dft.free();
340    /// c_dft.free();
341    /// vmp_pmat.free();
342    /// module.free();
343    /// ```
344    fn vmp_apply_dft_to_dft(&self, c: &mut VecZnxDft, a: &VecZnxDft, b: &VmpPMat, buf: &mut [u8]);
345
346    /// Applies the vector matrix product [VecZnxDft] x [VmpPMat] in place.
347    /// The size of `buf` is given by [VmpPMatOps::vmp_apply_dft_to_dft_tmp_bytes].
348    ///
349    /// A vector matrix product is equivalent to a sum of [crate::SvpPPolOps::svp_apply_dft]
350    /// where each [crate::Scalar] is a limb of the input [VecZnxDft] (equivalent to an [crate::SvpPPol])
351    /// and each vector a [VecZnxDft] (row) of the [VmpPMat].
352    ///
353    /// As such, given an input [VecZnx] of `i` limbs and a [VmpPMat] of `i` rows and
354    /// `j` cols, the output is a [VecZnx] of `j` limbs.
355    ///
356    /// If there is a mismatch between the dimensions the largest valid ones are used.
357    ///
358    /// ```text
359    /// |a b c d| x |e f g| = (a * |e f g| + b * |h i j| + c * |k l m|) = |n o p|
360    ///             |h i j|
361    ///             |k l m|
362    /// ```
363    /// where each element is a [VecZnxDft].
364    ///
365    /// # Arguments
366    ///
367    /// * `b`: the input and output of the vector matrix product, as a [VecZnxDft].
368    /// * `a`: the right operand [VmpPMat] of the vector matrix product.
369    /// * `buf`: scratch space, the size can be obtained with [VmpPMatOps::vmp_apply_dft_to_dft_tmp_bytes].
370    ///
371    /// # Example
372    /// ```
373    /// use base2k::{Module, VecZnx, VecZnxOps, VecZnxDft, VmpPMat, VmpPMatOps, FFT64, Free};
374    ///
375    /// let n = 1024;
376    ///
377    /// let module: Module = Module::new::<FFT64>(n);
378    /// let limbs: usize = 5;
379    ///
380    /// let rows: usize = limbs;
381    /// let cols: usize = limbs + 1;
382    /// let tmp_bytes: usize = module.vmp_apply_dft_to_dft_tmp_bytes(limbs, limbs, rows, cols);
383    ///
384    /// let mut buf: Vec<u8> = vec![0; tmp_bytes];
385    /// let a: VecZnx = module.new_vec_znx(limbs);
386    /// let mut vmp_pmat: VmpPMat = module.new_vmp_pmat(rows, cols);
387    ///
388    /// let mut c_dft: VecZnxDft = module.new_vec_znx_dft(limbs);
389    /// module.vmp_apply_dft_to_dft_inplace(&mut c_dft, &vmp_pmat, &mut buf);
390    ///
391    /// c_dft.free();
392    /// vmp_pmat.free();
393    /// module.free();
394    /// ```
395    fn vmp_apply_dft_to_dft_inplace(&self, b: &mut VecZnxDft, a: &VmpPMat, buf: &mut [u8]);
396}
397
398impl VmpPMatOps for Module {
399    fn new_vmp_pmat(&self, rows: usize, cols: usize) -> VmpPMat {
400        unsafe {
401            VmpPMat {
402                data: vmp::new_vmp_pmat(self.0, rows as u64, cols as u64),
403                rows,
404                cols,
405                n: self.n(),
406            }
407        }
408    }
409
410    fn vmp_prepare_tmp_bytes(&self, rows: usize, cols: usize) -> usize {
411        unsafe { vmp::vmp_prepare_tmp_bytes(self.0, rows as u64, cols as u64) as usize }
412    }
413
414    fn vmp_prepare_contiguous(&self, b: &mut VmpPMat, a: &[i64], buf: &mut [u8]) {
415        unsafe {
416            vmp::vmp_prepare_contiguous(
417                self.0,
418                b.data(),
419                a.as_ptr(),
420                b.rows() as u64,
421                b.cols() as u64,
422                buf.as_mut_ptr(),
423            );
424        }
425    }
426
427    fn vmp_prepare_dblptr(&self, b: &mut VmpPMat, a: &[&[i64]], buf: &mut [u8]) {
428        let ptrs: Vec<*const i64> = a.iter().map(|v| v.as_ptr()).collect();
429        unsafe {
430            vmp::vmp_prepare_dblptr(
431                self.0,
432                b.data(),
433                ptrs.as_ptr(),
434                b.rows() as u64,
435                b.cols() as u64,
436                buf.as_mut_ptr(),
437            );
438        }
439    }
440
441    fn vmp_prepare_row(&self, b: &mut VmpPMat, a: &[i64], row_i: usize, buf: &mut [u8]) {
442        unsafe {
443            vmp::vmp_prepare_row(
444                self.0,
445                b.data(),
446                a.as_ptr(),
447                row_i as u64,
448                b.rows() as u64,
449                b.cols() as u64,
450                buf.as_mut_ptr(),
451            );
452        }
453    }
454
455    fn vmp_apply_dft_tmp_bytes(
456        &self,
457        c_limbs: usize,
458        a_limbs: usize,
459        rows: usize,
460        cols: usize,
461    ) -> usize {
462        unsafe {
463            vmp::vmp_apply_dft_tmp_bytes(
464                self.0,
465                c_limbs as u64,
466                a_limbs as u64,
467                rows as u64,
468                cols as u64,
469            ) as usize
470        }
471    }
472
473    fn vmp_apply_dft(&self, c: &mut VecZnxDft, a: &VecZnx, b: &VmpPMat, buf: &mut [u8]) {
474        unsafe {
475            vmp::vmp_apply_dft(
476                self.0,
477                c.0,
478                c.limbs() as u64,
479                a.as_ptr(),
480                a.limbs() as u64,
481                a.n() as u64,
482                b.data(),
483                b.rows() as u64,
484                b.cols() as u64,
485                buf.as_mut_ptr(),
486            )
487        }
488    }
489
490    fn vmp_apply_dft_to_dft_tmp_bytes(
491        &self,
492        c_limbs: usize,
493        a_limbs: usize,
494        rows: usize,
495        cols: usize,
496    ) -> usize {
497        unsafe {
498            vmp::vmp_apply_dft_to_dft_tmp_bytes(
499                self.0,
500                c_limbs as u64,
501                a_limbs as u64,
502                rows as u64,
503                cols as u64,
504            ) as usize
505        }
506    }
507
508    fn vmp_apply_dft_to_dft(&self, c: &mut VecZnxDft, a: &VecZnxDft, b: &VmpPMat, buf: &mut [u8]) {
509        unsafe {
510            vmp::vmp_apply_dft_to_dft(
511                self.0,
512                c.0,
513                c.limbs() as u64,
514                a.0,
515                a.limbs() as u64,
516                b.data(),
517                b.rows() as u64,
518                b.cols() as u64,
519                buf.as_mut_ptr(),
520            )
521        }
522    }
523
524    fn vmp_apply_dft_to_dft_inplace(&self, b: &mut VecZnxDft, a: &VmpPMat, buf: &mut [u8]) {
525        unsafe {
526            vmp::vmp_apply_dft_to_dft(
527                self.0,
528                b.0,
529                b.limbs() as u64,
530                b.0,
531                b.limbs() as u64,
532                a.data(),
533                a.rows() as u64,
534                a.cols() as u64,
535                buf.as_mut_ptr(),
536            )
537        }
538    }
539}
540
541/// A helper struture that stores a 3D matrix as a contiguous array.
542/// To be passed to [VmpPMatOps::vmp_prepare_contiguous].
543///
544/// rows: index of the i-th base2K power.
545/// cols: index of the j-th limb of the i-th row.
546/// n   : polynomial degree.
547///
548/// A [Matrix3D] can be seen as a vector of [VecZnx].
549pub struct Matrix3D<T> {
550    pub data: Vec<T>,
551    pub rows: usize,
552    pub cols: usize,
553    pub n: usize,
554}
555
556impl<T: Default + Clone + std::marker::Copy> Matrix3D<T> {
557    /// Allocates a new [Matrix3D] with the respective dimensions.
558    ///
559    /// # Arguments
560    ///
561    /// * `rows`: the number of rows of the matrix.
562    /// * `cols`: the number of cols of the matrix.
563    /// # `n`: the size of each entry of the matrix.
564    ///
565    /// # Example
566    /// ```
567    /// use base2k::Matrix3D;
568    ///
569    /// let rows = 5; // #decomp
570    /// let cols = 5; // #limbs
571    /// let n = 1024; // #coeffs
572    ///
573    /// let mut mat = Matrix3D::<i64>::new(rows, cols, n);
574    /// ```
575    pub fn new(rows: usize, cols: usize, n: usize) -> Self {
576        let size = rows * cols * n;
577        Self {
578            data: vec![T::default(); size],
579            rows,
580            cols,
581            n,
582        }
583    }
584
585    /// Returns a non-mutable reference to the entry (row, col) of the [Matrix3D].
586    /// The returned array is of size n.
587    ///
588    /// # Arguments
589    ///
590    /// * `row`: the index of the row.
591    /// * `col`: the index of the col.
592    ///
593    /// # Example
594    /// ```
595    /// use base2k::Matrix3D;
596    ///
597    /// let rows = 5; // #decomp
598    /// let cols = 5; // #limbs
599    /// let n = 1024; // #coeffs
600    ///
601    /// let mut mat = Matrix3D::<i64>::new(rows, cols, n);
602    ///
603    /// let elem: &[i64] = mat.at(4, 4); // size n
604    /// ```
605    pub fn at(&self, row: usize, col: usize) -> &[T] {
606        assert!(row < self.rows && col < self.cols);
607        let idx: usize = row * (self.n * self.cols) + col * self.n;
608        &self.data[idx..idx + self.n]
609    }
610
611    /// Returns a mutable reference of the array at the (row, col) entry of the [Matrix3D].
612    /// The returned array is of size n.
613    ///
614    /// # Arguments
615    ///
616    /// * `row`: the index of the row.
617    /// * `col`: the index of the col.
618    ///
619    /// # Example
620    /// ```
621    /// use base2k::Matrix3D;
622    ///
623    /// let rows = 5; // #decomp
624    /// let cols = 5; // #limbs
625    /// let n = 1024; // #coeffs
626    ///
627    /// let mut mat = Matrix3D::<i64>::new(rows, cols, n);
628    ///
629    /// let elem: &mut [i64] = mat.at_mut(4, 4); // size n
630    /// ```
631    pub fn at_mut(&mut self, row: usize, col: usize) -> &mut [T] {
632        assert!(row < self.rows && col < self.cols);
633        let idx: usize = row * (self.n * self.cols) + col * self.n;
634        &mut self.data[idx..idx + self.n]
635    }
636
637    /// Sets the entry \[row\] of the [Matrix3D].
638    /// Typicall this is used to assign a [VecZnx] to the i-th row
639    /// of the [Matrix3D].
640    ///
641    /// # Arguments
642    ///
643    /// * `row`: the index of the row.
644    /// * `a`: the data to encode onthe row.
645    ///
646    /// # Example
647    /// ```
648    /// use base2k::{Matrix3D, VecZnx};
649    ///
650    /// let rows = 5; // #decomp
651    /// let cols = 5; // #limbs
652    /// let n = 1024; // #coeffs
653    ///
654    /// let mut mat = Matrix3D::<i64>::new(rows, cols, n);
655    ///
656    /// let a: VecZnx = VecZnx::new(n, cols);
657    ///
658    /// mat.set_row(1, &a.data);
659    /// ```
660    pub fn set_row(&mut self, row: usize, a: &[T]) {
661        assert!(
662            row < self.rows,
663            "invalid argument row: row={} > self.rows={}",
664            row,
665            self.rows
666        );
667        let idx: usize = row * (self.n * self.cols);
668        let size: usize = min(a.len(), self.cols * self.n);
669        self.data[idx..idx + size].copy_from_slice(&a[..size]);
670    }
671}