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 mut buf: Vec<u8> = vec![u8::default(); module.vmp_prepare_tmp_bytes(rows, cols)];
163    ///
164    /// let mut vmp_pmat: VmpPMat = module.new_vmp_pmat(rows, cols);
165    /// module.vmp_prepare_dblptr(&mut vmp_pmat, &vecznx, &mut buf);
166    ///
167    /// vmp_pmat.free();
168    /// module.free();
169    /// ```
170    fn vmp_prepare_dblptr(&self, b: &mut VmpPMat, a: &Vec<VecZnx>, buf: &mut [u8]);
171
172    /// Prepares the ith-row of [VmpPMat] from a vector of [VecZnx].
173    ///
174    /// # Arguments
175    ///
176    /// * `b`: [VmpPMat] on which the values are encoded.
177    /// * `a`: the vector of [VecZnx] to encode on the [VmpPMat].
178    /// * `row_i`: the index of the row to prepare.
179    /// * `buf`: scratch space, the size of buf can be obtained with [VmpPMatOps::vmp_prepare_tmp_bytes].
180    ///
181    /// The size of buf can be obtained with [VmpPMatOps::vmp_prepare_tmp_bytes].
182    /// /// # Example
183    /// ```
184    /// use base2k::{Module, FFT64, Matrix3D, VmpPMat, VmpPMatOps, VecZnx, VecZnxOps, Free};
185    /// use std::cmp::min;
186    ///
187    /// let n: usize = 1024;
188    /// let module: Module = Module::new::<FFT64>(n);
189    /// let rows: usize = 5;
190    /// let cols: usize = 6;
191    ///
192    /// let vecznx: module.new_vec_znx(cols);
193    ///
194    /// let mut buf: Vec<u8> = vec![u8::default(); module.vmp_prepare_tmp_bytes(rows, cols)];
195    ///
196    /// let mut vmp_pmat: VmpPMat = module.new_vmp_pmat(rows, cols);
197    /// module.vmp_prepare_row(&mut vmp_pmat, &vecznx, 0, &mut buf);
198    ///
199    /// vmp_pmat.free();
200    /// module.free();
201    /// ```
202    fn vmp_prepare_row(&self, b: &mut VmpPMat, a: &VecZnx, row_i: usize, tmp_bytes: &mut [u8]);
203
204    /// Returns the size of the stratch space necessary for [VmpPMatOps::vmp_apply_dft].
205    ///
206    /// # Arguments
207    ///
208    /// * `c_limbs`: number of limbs of the output [VecZnxDft].
209    /// * `a_limbs`: number of limbs of the input [VecZnx].
210    /// * `rows`: number of rows of the input [VmpPMat].
211    /// * `cols`: number of cols of the input [VmpPMat].
212    fn vmp_apply_dft_tmp_bytes(
213        &self,
214        c_limbs: usize,
215        a_limbs: usize,
216        rows: usize,
217        cols: usize,
218    ) -> usize;
219
220    /// Applies the vector matrix product [VecZnxDft] x [VmpPMat].
221    ///
222    /// A vector matrix product is equivalent to a sum of [crate::SvpPPolOps::svp_apply_dft]
223    /// where each [crate::Scalar] is a limb of the input [VecZnxDft] (equivalent to an [crate::SvpPPol])
224    /// and each vector a [VecZnxDft] (row) of the [VmpPMat].
225    ///
226    /// As such, given an input [VecZnx] of `i` limbs and a [VmpPMat] of `i` rows and
227    /// `j` cols, the output is a [VecZnx] of `j` limbs.
228    ///
229    /// If there is a mismatch between the dimensions the largest valid ones are used.
230    ///
231    /// ```text
232    /// |a b c d| x |e f g| = (a * |e f g| + b * |h i j| + c * |k l m|) = |n o p|
233    ///             |h i j|
234    ///             |k l m|
235    /// ```
236    /// where each element is a [VecZnxDft].
237    ///
238    /// # Arguments
239    ///
240    /// * `c`: the output of the vector matrix product, as a [VecZnxDft].
241    /// * `a`: the left operand [VecZnx] of the vector matrix product.
242    /// * `b`: the right operand [VmpPMat] of the vector matrix product.
243    /// * `buf`: scratch space, the size can be obtained with [VmpPMatOps::vmp_apply_dft_tmp_bytes].
244    ///
245    /// # Example
246    /// ```
247    /// use base2k::{Module, VecZnx, VecZnxOps, VecZnxDft, VmpPMat, VmpPMatOps, FFT64, Free};
248    ///
249    /// let n = 1024;
250    ///
251    /// let module: Module = Module::new::<FFT64>(n);
252    /// let limbs: usize = 5;
253    ///
254    /// let rows: usize = limbs;
255    /// let cols: usize = limbs + 1;
256    /// let c_limbs: usize = cols;
257    /// let a_limbs: usize = limbs;
258    /// let tmp_bytes: usize = module.vmp_apply_dft_tmp_bytes(c_limbs, a_limbs, rows, cols);
259    ///
260    /// let mut buf: Vec<u8> = vec![0; tmp_bytes];
261    /// let mut vmp_pmat: VmpPMat = module.new_vmp_pmat(rows, cols);
262    ///
263    /// let a: VecZnx = module.new_vec_znx(limbs);
264    /// let mut c_dft: VecZnxDft = module.new_vec_znx_dft(cols);
265    /// module.vmp_apply_dft(&mut c_dft, &a, &vmp_pmat, &mut buf);
266    ///
267    /// c_dft.free();
268    /// vmp_pmat.free();
269    /// module.free();
270    /// ```
271    fn vmp_apply_dft(&self, c: &mut VecZnxDft, a: &VecZnx, b: &VmpPMat, buf: &mut [u8]);
272
273    /// Returns the size of the stratch space necessary for [VmpPMatOps::vmp_apply_dft_to_dft].
274    ///
275    /// # Arguments
276    ///
277    /// * `c_limbs`: number of limbs of the output [VecZnxDft].
278    /// * `a_limbs`: number of limbs of the input [VecZnxDft].
279    /// * `rows`: number of rows of the input [VmpPMat].
280    /// * `cols`: number of cols of the input [VmpPMat].
281    fn vmp_apply_dft_to_dft_tmp_bytes(
282        &self,
283        c_limbs: usize,
284        a_limbs: usize,
285        rows: usize,
286        cols: usize,
287    ) -> usize;
288
289    /// Applies the vector matrix product [VecZnxDft] x [VmpPMat].
290    /// The size of `buf` is given by [VmpPMatOps::vmp_apply_dft_to_dft_tmp_bytes].
291    ///
292    /// A vector matrix product is equivalent to a sum of [crate::SvpPPolOps::svp_apply_dft]
293    /// where each [crate::Scalar] is a limb of the input [VecZnxDft] (equivalent to an [crate::SvpPPol])
294    /// and each vector a [VecZnxDft] (row) of the [VmpPMat].
295    ///
296    /// As such, given an input [VecZnx] of `i` limbs and a [VmpPMat] of `i` rows and
297    /// `j` cols, the output is a [VecZnx] of `j` limbs.
298    ///
299    /// If there is a mismatch between the dimensions the largest valid ones are used.
300    ///
301    /// ```text
302    /// |a b c d| x |e f g| = (a * |e f g| + b * |h i j| + c * |k l m|) = |n o p|
303    ///             |h i j|
304    ///             |k l m|
305    /// ```
306    /// where each element is a [VecZnxDft].
307    ///
308    /// # Arguments
309    ///
310    /// * `c`: the output of the vector matrix product, as a [VecZnxDft].
311    /// * `a`: the left operand [VecZnxDft] of the vector matrix product.
312    /// * `b`: the right operand [VmpPMat] of the vector matrix product.
313    /// * `buf`: scratch space, the size can be obtained with [VmpPMatOps::vmp_apply_dft_to_dft_tmp_bytes].
314    ///
315    /// # Example
316    /// ```
317    /// use base2k::{Module, VecZnx, VecZnxDft, VmpPMat, VmpPMatOps, FFT64, Free};
318    ///
319    /// let n = 1024;
320    ///
321    /// let module: Module = Module::new::<FFT64>(n);
322    /// let limbs: usize = 5;
323    ///
324    /// let rows: usize = limbs;
325    /// let cols: usize = limbs + 1;
326    /// let c_limbs: usize = cols;
327    /// let a_limbs: usize = limbs;
328    /// let tmp_bytes: usize = module.vmp_apply_dft_to_dft_tmp_bytes(c_limbs, a_limbs, rows, cols);
329    ///
330    /// let mut buf: Vec<u8> = vec![0; tmp_bytes];
331    /// let mut vmp_pmat: VmpPMat = module.new_vmp_pmat(rows, cols);
332    ///
333    /// let a_dft: VecZnxDft = module.new_vec_znx_dft(limbs);
334    /// let mut c_dft: VecZnxDft = module.new_vec_znx_dft(cols);
335    /// module.vmp_apply_dft_to_dft(&mut c_dft, &a_dft, &vmp_pmat, &mut buf);
336    ///
337    /// a_dft.free();
338    /// c_dft.free();
339    /// vmp_pmat.free();
340    /// module.free();
341    /// ```
342    fn vmp_apply_dft_to_dft(&self, c: &mut VecZnxDft, a: &VecZnxDft, b: &VmpPMat, buf: &mut [u8]);
343
344    /// Applies the vector matrix product [VecZnxDft] x [VmpPMat] in place.
345    /// The size of `buf` is given by [VmpPMatOps::vmp_apply_dft_to_dft_tmp_bytes].
346    ///
347    /// A vector matrix product is equivalent to a sum of [crate::SvpPPolOps::svp_apply_dft]
348    /// where each [crate::Scalar] is a limb of the input [VecZnxDft] (equivalent to an [crate::SvpPPol])
349    /// and each vector a [VecZnxDft] (row) of the [VmpPMat].
350    ///
351    /// As such, given an input [VecZnx] of `i` limbs and a [VmpPMat] of `i` rows and
352    /// `j` cols, the output is a [VecZnx] of `j` limbs.
353    ///
354    /// If there is a mismatch between the dimensions the largest valid ones are used.
355    ///
356    /// ```text
357    /// |a b c d| x |e f g| = (a * |e f g| + b * |h i j| + c * |k l m|) = |n o p|
358    ///             |h i j|
359    ///             |k l m|
360    /// ```
361    /// where each element is a [VecZnxDft].
362    ///
363    /// # Arguments
364    ///
365    /// * `b`: the input and output of the vector matrix product, as a [VecZnxDft].
366    /// * `a`: the right operand [VmpPMat] of the vector matrix product.
367    /// * `buf`: scratch space, the size can be obtained with [VmpPMatOps::vmp_apply_dft_to_dft_tmp_bytes].
368    ///
369    /// # Example
370    /// ```
371    /// use base2k::{Module, VecZnx, VecZnxOps, VecZnxDft, VmpPMat, VmpPMatOps, FFT64, Free};
372    ///
373    /// let n = 1024;
374    ///
375    /// let module: Module = Module::new::<FFT64>(n);
376    /// let limbs: usize = 5;
377    ///
378    /// let rows: usize = limbs;
379    /// let cols: usize = limbs + 1;
380    /// let tmp_bytes: usize = module.vmp_apply_dft_to_dft_tmp_bytes(limbs, limbs, rows, cols);
381    ///
382    /// let mut buf: Vec<u8> = vec![0; tmp_bytes];
383    /// let a: VecZnx = module.new_vec_znx(limbs);
384    /// let mut vmp_pmat: VmpPMat = module.new_vmp_pmat(rows, cols);
385    ///
386    /// let mut c_dft: VecZnxDft = module.new_vec_znx_dft(limbs);
387    /// module.vmp_apply_dft_to_dft_inplace(&mut c_dft, &vmp_pmat, &mut buf);
388    ///
389    /// c_dft.free();
390    /// vmp_pmat.free();
391    /// module.free();
392    /// ```
393    fn vmp_apply_dft_to_dft_inplace(&self, b: &mut VecZnxDft, a: &VmpPMat, buf: &mut [u8]);
394}
395
396impl VmpPMatOps for Module {
397    fn new_vmp_pmat(&self, rows: usize, cols: usize) -> VmpPMat {
398        unsafe {
399            VmpPMat {
400                data: vmp::new_vmp_pmat(self.0, rows as u64, cols as u64),
401                rows,
402                cols,
403                n: self.n(),
404            }
405        }
406    }
407
408    fn vmp_prepare_tmp_bytes(&self, rows: usize, cols: usize) -> usize {
409        unsafe { vmp::vmp_prepare_tmp_bytes(self.0, rows as u64, cols as u64) as usize }
410    }
411
412    fn vmp_prepare_contiguous(&self, b: &mut VmpPMat, a: &[i64], buf: &mut [u8]) {
413        unsafe {
414            vmp::vmp_prepare_contiguous(
415                self.0,
416                b.data(),
417                a.as_ptr(),
418                b.rows() as u64,
419                b.cols() as u64,
420                buf.as_mut_ptr(),
421            );
422        }
423    }
424
425    fn vmp_prepare_dblptr(&self, b: &mut VmpPMat, a: &Vec<VecZnx>, buf: &mut [u8]) {
426        let ptrs: Vec<*const i64> = a.iter().map(|v| v.data.as_ptr()).collect();
427        unsafe {
428            vmp::vmp_prepare_dblptr(
429                self.0,
430                b.data(),
431                ptrs.as_ptr(),
432                b.rows() as u64,
433                b.cols() as u64,
434                buf.as_mut_ptr(),
435            );
436        }
437    }
438
439    fn vmp_prepare_row(&self, b: &mut VmpPMat, a: &VecZnx, row_i: usize, buf: &mut [u8]) {
440        unsafe {
441            vmp::vmp_prepare_row(
442                self.0,
443                b.data(),
444                a.data.as_ptr(),
445                row_i as u64,
446                b.rows() as u64,
447                b.cols() as u64,
448                buf.as_mut_ptr(),
449            );
450        }
451    }
452
453    fn vmp_apply_dft_tmp_bytes(
454        &self,
455        c_limbs: usize,
456        a_limbs: usize,
457        rows: usize,
458        cols: usize,
459    ) -> usize {
460        unsafe {
461            vmp::vmp_apply_dft_tmp_bytes(
462                self.0,
463                c_limbs as u64,
464                a_limbs as u64,
465                rows as u64,
466                cols as u64,
467            ) as usize
468        }
469    }
470
471    fn vmp_apply_dft(&self, c: &mut VecZnxDft, a: &VecZnx, b: &VmpPMat, buf: &mut [u8]) {
472        unsafe {
473            vmp::vmp_apply_dft(
474                self.0,
475                c.0,
476                c.limbs() as u64,
477                a.as_ptr(),
478                a.limbs() as u64,
479                a.n() as u64,
480                b.data(),
481                b.rows() as u64,
482                b.cols() as u64,
483                buf.as_mut_ptr(),
484            )
485        }
486    }
487
488    fn vmp_apply_dft_to_dft_tmp_bytes(
489        &self,
490        c_limbs: usize,
491        a_limbs: usize,
492        rows: usize,
493        cols: usize,
494    ) -> usize {
495        unsafe {
496            vmp::vmp_apply_dft_to_dft_tmp_bytes(
497                self.0,
498                c_limbs as u64,
499                a_limbs as u64,
500                rows as u64,
501                cols as u64,
502            ) as usize
503        }
504    }
505
506    fn vmp_apply_dft_to_dft(&self, c: &mut VecZnxDft, a: &VecZnxDft, b: &VmpPMat, buf: &mut [u8]) {
507        unsafe {
508            vmp::vmp_apply_dft_to_dft(
509                self.0,
510                c.0,
511                c.limbs() as u64,
512                a.0,
513                a.limbs() as u64,
514                b.data(),
515                b.rows() as u64,
516                b.cols() as u64,
517                buf.as_mut_ptr(),
518            )
519        }
520    }
521
522    fn vmp_apply_dft_to_dft_inplace(&self, b: &mut VecZnxDft, a: &VmpPMat, buf: &mut [u8]) {
523        unsafe {
524            vmp::vmp_apply_dft_to_dft(
525                self.0,
526                b.0,
527                b.limbs() as u64,
528                b.0,
529                b.limbs() as u64,
530                a.data(),
531                a.rows() as u64,
532                a.cols() as u64,
533                buf.as_mut_ptr(),
534            )
535        }
536    }
537}
538
539/// A helper struture that stores a 3D matrix as a contiguous array.
540/// To be passed to [VmpPMatOps::vmp_prepare_contiguous].
541///
542/// rows: index of the i-th base2K power.
543/// cols: index of the j-th limb of the i-th row.
544/// n   : polynomial degree.
545///
546/// A [Matrix3D] can be seen as a vector of [VecZnx].
547pub struct Matrix3D<T> {
548    pub data: Vec<T>,
549    pub rows: usize,
550    pub cols: usize,
551    pub n: usize,
552}
553
554impl<T: Default + Clone + std::marker::Copy> Matrix3D<T> {
555    /// Allocates a new [Matrix3D] with the respective dimensions.
556    ///
557    /// # Arguments
558    ///
559    /// * `rows`: the number of rows of the matrix.
560    /// * `cols`: the number of cols of the matrix.
561    /// # `n`: the size of each entry of the matrix.
562    ///
563    /// # Example
564    /// ```
565    /// use base2k::Matrix3D;
566    ///
567    /// let rows = 5; // #decomp
568    /// let cols = 5; // #limbs
569    /// let n = 1024; // #coeffs
570    ///
571    /// let mut mat = Matrix3D::<i64>::new(rows, cols, n);
572    /// ```
573    pub fn new(rows: usize, cols: usize, n: usize) -> Self {
574        let size = rows * cols * n;
575        Self {
576            data: vec![T::default(); size],
577            rows,
578            cols,
579            n,
580        }
581    }
582
583    /// Returns a non-mutable reference to the entry (row, col) of the [Matrix3D].
584    /// The returned array is of size n.
585    ///
586    /// # Arguments
587    ///
588    /// * `row`: the index of the row.
589    /// * `col`: the index of the col.
590    ///
591    /// # Example
592    /// ```
593    /// use base2k::Matrix3D;
594    ///
595    /// let rows = 5; // #decomp
596    /// let cols = 5; // #limbs
597    /// let n = 1024; // #coeffs
598    ///
599    /// let mut mat = Matrix3D::<i64>::new(rows, cols, n);
600    ///
601    /// let elem: &[i64] = mat.at(4, 4); // size n
602    /// ```
603    pub fn at(&self, row: usize, col: usize) -> &[T] {
604        assert!(row < self.rows && col < self.cols);
605        let idx: usize = row * (self.n * self.cols) + col * self.n;
606        &self.data[idx..idx + self.n]
607    }
608
609    /// Returns a mutable reference of the array at the (row, col) entry of the [Matrix3D].
610    /// The returned array is of size n.
611    ///
612    /// # Arguments
613    ///
614    /// * `row`: the index of the row.
615    /// * `col`: the index of the col.
616    ///
617    /// # Example
618    /// ```
619    /// use base2k::Matrix3D;
620    ///
621    /// let rows = 5; // #decomp
622    /// let cols = 5; // #limbs
623    /// let n = 1024; // #coeffs
624    ///
625    /// let mut mat = Matrix3D::<i64>::new(rows, cols, n);
626    ///
627    /// let elem: &mut [i64] = mat.at_mut(4, 4); // size n
628    /// ```
629    pub fn at_mut(&mut self, row: usize, col: usize) -> &mut [T] {
630        assert!(row < self.rows && col < self.cols);
631        let idx: usize = row * (self.n * self.cols) + col * self.n;
632        &mut self.data[idx..idx + self.n]
633    }
634
635    /// Sets the entry \[row\] of the [Matrix3D].
636    /// Typicall this is used to assign a [VecZnx] to the i-th row
637    /// of the [Matrix3D].
638    ///
639    /// # Arguments
640    ///
641    /// * `row`: the index of the row.
642    /// * `a`: the data to encode onthe row.
643    ///
644    /// # Example
645    /// ```
646    /// use base2k::{Matrix3D, VecZnx};
647    ///
648    /// let rows = 5; // #decomp
649    /// let cols = 5; // #limbs
650    /// let n = 1024; // #coeffs
651    ///
652    /// let mut mat = Matrix3D::<i64>::new(rows, cols, n);
653    ///
654    /// let a: VecZnx = VecZnx::new(n, cols);
655    ///
656    /// mat.set_row(1, &a.data);
657    /// ```
658    pub fn set_row(&mut self, row: usize, a: &[T]) {
659        assert!(
660            row < self.rows,
661            "invalid argument row: row={} > self.rows={}",
662            row,
663            self.rows
664        );
665        let idx: usize = row * (self.n * self.cols);
666        let size: usize = min(a.len(), self.cols * self.n);
667        self.data[idx..idx + size].copy_from_slice(&a[..size]);
668    }
669}