arnaucube
arnaucube/poulpyPublic Self-hosted repository
poulpy/base2k/src/vec_znx.rs
base2k/src/vec_znx.rsRaw
  1use crate::cast_mut;
  2use crate::ffi::vec_znx;
  3use crate::ffi::znx;
  4use crate::ffi::znx::znx_zero_i64_ref;
  5use crate::{alias_mut_slice_to_vec, alloc_aligned};
  6use crate::{Infos, Module};
  7use itertools::izip;
  8use std::cmp::min;
  9
 10pub trait VecZnxVec {
 11    fn dblptr(&self) -> Vec<&[i64]>;
 12    fn dblptr_mut(&mut self) -> Vec<&mut [i64]>;
 13}
 14
 15impl<T: VecZnxApi + Infos> VecZnxVec for Vec<T> {
 16    fn dblptr(&self) -> Vec<&[i64]> {
 17        self.iter().map(|v| v.raw()).collect()
 18    }
 19
 20    fn dblptr_mut(&mut self) -> Vec<&mut [i64]> {
 21        self.iter_mut().map(|v| v.raw_mut()).collect()
 22    }
 23}
 24
 25pub trait VecZnxApi: AsRef<Self> + AsMut<Self> {
 26    type Owned: VecZnxApi + Infos;
 27
 28    fn from_bytes(n: usize, cols: usize, bytes: &mut [u8]) -> Self::Owned;
 29
 30    /// Returns the minimum size of the [u8] array required to assign a
 31    /// new backend array.
 32    fn bytes_of(n: usize, cols: usize) -> usize;
 33
 34    /// Copy the data of a onto self.
 35    fn copy_from<T: VecZnxApi + Infos>(&mut self, a: &T)
 36    where
 37        Self: AsMut<T>;
 38
 39    /// Returns the backing array.
 40    fn raw(&self) -> &[i64];
 41
 42    /// Returns the mutable backing array.
 43    fn raw_mut(&mut self) -> &mut [i64];
 44
 45    /// Returns a non-mutable pointer to the backing array.
 46    fn as_ptr(&self) -> *const i64;
 47
 48    /// Returns a mutable pointer to the backing array.
 49    fn as_mut_ptr(&mut self) -> *mut i64;
 50
 51    /// Returns a non-mutable reference to the i-th cols.
 52    fn at(&self, i: usize) -> &[i64];
 53
 54    /// Returns a mutable reference to the i-th cols .
 55    fn at_mut(&mut self, i: usize) -> &mut [i64];
 56
 57    /// Returns a non-mutable pointer to the i-th cols.
 58    fn at_ptr(&self, i: usize) -> *const i64;
 59
 60    /// Returns a mutable pointer to the i-th cols.
 61    fn at_mut_ptr(&mut self, i: usize) -> *mut i64;
 62
 63    /// Zeroes the backing array.
 64    fn zero(&mut self);
 65
 66    /// Normalization: propagates carry and ensures each coefficients
 67    /// falls into the range [-2^{K-1}, 2^{K-1}].
 68    fn normalize(&mut self, log_base2k: usize, carry: &mut [u8]);
 69
 70    /// Right shifts the coefficients by k bits.
 71    ///
 72    /// # Arguments
 73    ///
 74    /// * `log_base2k`: the base two logarithm of the coefficients decomposition.
 75    /// * `k`: the shift amount.
 76    /// * `carry`: scratch space of size at least equal to self.n() * self.cols() << 3.
 77    ///
 78    /// # Panics
 79    ///
 80    /// The method will panic if carry.len() < self.n() * self.cols() << 3.
 81    fn rsh(&mut self, log_base2k: usize, k: usize, carry: &mut [u8]);
 82
 83    /// If self.n() > a.n(): Extracts X^{i*self.n()/a.n()} -> X^{i}.
 84    /// If self.n() < a.n(): Extracts X^{i} -> X^{i*a.n()/self.n()}.
 85    ///
 86    /// # Arguments
 87    ///
 88    /// * `a`: the receiver polynomial in which the extracted coefficients are stored.
 89    fn switch_degree<T: VecZnxApi + Infos>(&self, a: &mut T)
 90    where
 91        Self: AsRef<T>;
 92
 93    fn print(&self, cols: usize, n: usize);
 94}
 95
 96pub fn bytes_of_vec_znx(n: usize, cols: usize) -> usize {
 97    n * cols * 8
 98}
 99
100pub struct VecZnxBorrow {
101    pub n: usize,
102    pub cols: usize,
103    pub data: *mut i64,
104}
105
106impl AsMut<VecZnxBorrow> for VecZnxBorrow {
107    fn as_mut(&mut self) -> &mut VecZnxBorrow {
108        self
109    }
110}
111
112impl AsRef<VecZnxBorrow> for VecZnxBorrow {
113    fn as_ref(&self) -> &VecZnxBorrow {
114        self
115    }
116}
117
118impl VecZnxApi for VecZnxBorrow {
119    type Owned = VecZnxBorrow;
120
121    /// Returns a new struct implementing [VecZnxBorrow] with the provided data as backing array.
122    ///
123    /// The struct will *NOT* take ownership of buf[..[VecZnx::bytes_of]]
124    ///
125    /// User must ensure that data is properly alligned and that
126    /// the size of data is at least equal to [VecZnx::bytes_of].
127    fn from_bytes(n: usize, cols: usize, bytes: &mut [u8]) -> Self::Owned {
128        let size = Self::bytes_of(n, cols);
129        assert!(
130            bytes.len() >= size,
131            "invalid buffer: buf.len()={} < self.buffer_size(n={}, cols={})={}",
132            bytes.len(),
133            n,
134            cols,
135            size
136        );
137        VecZnxBorrow {
138            n: n,
139            cols: cols,
140            data: cast_mut(&mut bytes[..size]).as_mut_ptr(),
141        }
142    }
143
144    fn bytes_of(n: usize, cols: usize) -> usize {
145        bytes_of_vec_znx(n, cols)
146    }
147
148    fn copy_from<T: VecZnxApi + Infos>(&mut self, a: &T)
149    where
150        Self: AsMut<T>,
151    {
152        copy_vec_znx_from::<T>(self.as_mut(), a);
153    }
154
155    fn as_ptr(&self) -> *const i64 {
156        self.data
157    }
158
159    fn as_mut_ptr(&mut self) -> *mut i64 {
160        self.data
161    }
162
163    fn raw(&self) -> &[i64] {
164        unsafe { std::slice::from_raw_parts(self.data, self.n * self.cols) }
165    }
166
167    fn raw_mut(&mut self) -> &mut [i64] {
168        unsafe { std::slice::from_raw_parts_mut(self.data, self.n * self.cols) }
169    }
170
171    fn at(&self, i: usize) -> &[i64] {
172        let n: usize = self.n();
173        &self.raw()[n * i..n * (i + 1)]
174    }
175
176    fn at_mut(&mut self, i: usize) -> &mut [i64] {
177        let n: usize = self.n();
178        &mut self.raw_mut()[n * i..n * (i + 1)]
179    }
180
181    fn at_ptr(&self, i: usize) -> *const i64 {
182        self.data.wrapping_add(self.n * i)
183    }
184
185    fn at_mut_ptr(&mut self, i: usize) -> *mut i64 {
186        self.data.wrapping_add(self.n * i)
187    }
188
189    fn zero(&mut self) {
190        unsafe {
191            znx_zero_i64_ref((self.n * self.cols) as u64, self.data);
192        }
193    }
194
195    fn normalize(&mut self, log_base2k: usize, carry: &mut [u8]) {
196        normalize(log_base2k, self, carry)
197    }
198
199    fn rsh(&mut self, log_base2k: usize, k: usize, carry: &mut [u8]) {
200        rsh(log_base2k, self, k, carry)
201    }
202
203    fn switch_degree<T: VecZnxApi + Infos>(&self, a: &mut T)
204    where
205        Self: AsRef<T>,
206    {
207        switch_degree(a, self.as_ref());
208    }
209
210    fn print(&self, cols: usize, n: usize) {
211        (0..cols).for_each(|i| println!("{}: {:?}", i, &self.at(i)[..n]))
212    }
213}
214
215impl VecZnxApi for VecZnx {
216    type Owned = VecZnx;
217
218    /// Returns a new struct implementing [VecZnx] with the provided data as backing array.
219    ///
220    /// The struct will take ownership of buf[..[VecZnx::bytes_of]]
221    ///
222    /// User must ensure that data is properly alligned and that
223    /// the size of data is at least equal to [VecZnx::bytes_of].
224    fn from_bytes(n: usize, cols: usize, buf: &mut [u8]) -> Self::Owned {
225        let size = Self::bytes_of(n, cols);
226        assert!(
227            buf.len() >= size,
228            "invalid buffer: buf.len()={} < self.buffer_size(n={}, cols={})={}",
229            buf.len(),
230            n,
231            cols,
232            size
233        );
234
235        VecZnx {
236            n: n,
237            data: alias_mut_slice_to_vec(cast_mut(&mut buf[..size])),
238        }
239    }
240
241    fn bytes_of(n: usize, cols: usize) -> usize {
242        bytes_of_vec_znx(n, cols)
243    }
244
245    fn copy_from<T: VecZnxApi + Infos>(&mut self, a: &T)
246    where
247        Self: AsMut<T>,
248    {
249        copy_vec_znx_from(self.as_mut(), a);
250    }
251
252    fn raw(&self) -> &[i64] {
253        &self.data
254    }
255
256    fn raw_mut(&mut self) -> &mut [i64] {
257        &mut self.data
258    }
259
260    fn as_ptr(&self) -> *const i64 {
261        self.data.as_ptr()
262    }
263
264    fn as_mut_ptr(&mut self) -> *mut i64 {
265        self.data.as_mut_ptr()
266    }
267
268    fn at(&self, i: usize) -> &[i64] {
269        let n: usize = self.n();
270        &self.raw()[n * i..n * (i + 1)]
271    }
272
273    fn at_mut(&mut self, i: usize) -> &mut [i64] {
274        let n: usize = self.n();
275        &mut self.raw_mut()[n * i..n * (i + 1)]
276    }
277
278    fn at_ptr(&self, i: usize) -> *const i64 {
279        &self.data[i * self.n] as *const i64
280    }
281
282    fn at_mut_ptr(&mut self, i: usize) -> *mut i64 {
283        &mut self.data[i * self.n] as *mut i64
284    }
285
286    fn zero(&mut self) {
287        unsafe { znx::znx_zero_i64_ref(self.data.len() as u64, self.data.as_mut_ptr()) }
288    }
289
290    fn normalize(&mut self, log_base2k: usize, carry: &mut [u8]) {
291        normalize(log_base2k, self, carry)
292    }
293
294    fn rsh(&mut self, log_base2k: usize, k: usize, carry: &mut [u8]) {
295        rsh(log_base2k, self, k, carry)
296    }
297
298    fn switch_degree<T: VecZnxApi + Infos>(&self, a: &mut T)
299    where
300        Self: AsRef<T>,
301    {
302        switch_degree(a, self.as_ref())
303    }
304
305    fn print(&self, cols: usize, n: usize) {
306        (0..cols).for_each(|i| println!("{}: {:?}", i, &self.at(i)[..n]))
307    }
308}
309
310/// [VecZnx] represents a vector of small norm polynomials of Zn\[X\] with [i64] coefficients.
311/// A [VecZnx] is composed of multiple Zn\[X\] polynomials stored in a single contiguous array
312/// in the memory.
313#[derive(Clone)]
314pub struct VecZnx {
315    /// Polynomial degree.
316    pub n: usize,
317    /// Polynomial coefficients, as a contiguous array. Each col is equally spaced by n.
318    pub data: Vec<i64>,
319}
320
321impl AsMut<VecZnx> for VecZnx {
322    fn as_mut(&mut self) -> &mut VecZnx {
323        self
324    }
325}
326
327impl AsRef<VecZnx> for VecZnx {
328    fn as_ref(&self) -> &VecZnx {
329        self
330    }
331}
332
333/// Copies the coefficients of `a` on the receiver.
334/// Copy is done with the minimum size matching both backing arrays.
335pub fn copy_vec_znx_from<T: VecZnxApi + Infos>(b: &mut T, a: &T) {
336    let data_a: &[i64] = a.raw();
337    let data_b: &mut [i64] = b.raw_mut();
338    let size = min(data_b.len(), data_a.len());
339    data_b[..size].copy_from_slice(&data_a[..size])
340}
341
342impl VecZnx {
343    /// Allocates a new [VecZnx] composed of #cols polynomials of Z\[X\].
344    pub fn new(n: usize, cols: usize) -> Self {
345        Self {
346            n: n,
347            data: alloc_aligned::<i64>(n * cols, 64),
348        }
349    }
350
351    /// Truncates the precision of the [VecZnx] by k bits.
352    ///
353    /// # Arguments
354    ///
355    /// * `log_base2k`: the base two logarithm of the coefficients decomposition.
356    /// * `k`: the number of bits of precision to drop.
357    pub fn trunc_pow2(&mut self, log_base2k: usize, k: usize) {
358        if k == 0 {
359            return;
360        }
361
362        self.data
363            .truncate((self.cols() - k / log_base2k) * self.n());
364
365        let k_rem: usize = k % log_base2k;
366
367        if k_rem != 0 {
368            let mask: i64 = ((1 << (log_base2k - k_rem - 1)) - 1) << k_rem;
369            self.at_mut(self.cols() - 1)
370                .iter_mut()
371                .for_each(|x: &mut i64| *x &= mask)
372        }
373    }
374}
375
376pub fn switch_degree<T: VecZnxApi + Infos>(b: &mut T, a: &T) {
377    let (n_in, n_out) = (a.n(), b.n());
378    let (gap_in, gap_out): (usize, usize);
379
380    if n_in > n_out {
381        (gap_in, gap_out) = (n_in / n_out, 1)
382    } else {
383        (gap_in, gap_out) = (1, n_out / n_in);
384        b.zero();
385    }
386
387    let cols = min(a.cols(), b.cols());
388
389    (0..cols).for_each(|i| {
390        izip!(
391            a.at(i).iter().step_by(gap_in),
392            b.at_mut(i).iter_mut().step_by(gap_out)
393        )
394        .for_each(|(x_in, x_out)| *x_out = *x_in);
395    });
396}
397
398fn normalize<T: VecZnxApi + Infos>(log_base2k: usize, a: &mut T, carry: &mut [u8]) {
399    let n: usize = a.n();
400
401    assert!(
402        carry.len() >= n * 8,
403        "invalid carry: carry.len()={} < self.n()={}",
404        carry.len(),
405        n
406    );
407
408    let carry_i64: &mut [i64] = cast_mut(carry);
409
410    unsafe {
411        znx::znx_zero_i64_ref(n as u64, carry_i64.as_mut_ptr());
412        (0..a.cols()).rev().for_each(|i| {
413            znx::znx_normalize(
414                n as u64,
415                log_base2k as u64,
416                a.at_mut_ptr(i),
417                carry_i64.as_mut_ptr(),
418                a.at_mut_ptr(i),
419                carry_i64.as_mut_ptr(),
420            )
421        });
422    }
423}
424
425pub fn rsh<T: VecZnxApi + Infos>(log_base2k: usize, a: &mut T, k: usize, carry: &mut [u8]) {
426    let n: usize = a.n();
427
428    assert!(
429        carry.len() >> 3 >= n,
430        "invalid carry: carry.len()/8={} < self.n()={}",
431        carry.len() >> 3,
432        n
433    );
434
435    let cols: usize = a.cols();
436    let cols_steps: usize = k / log_base2k;
437
438    a.raw_mut().rotate_right(n * cols_steps);
439    unsafe {
440        znx::znx_zero_i64_ref((n * cols_steps) as u64, a.as_mut_ptr());
441    }
442
443    let k_rem = k % log_base2k;
444
445    if k_rem != 0 {
446        let carry_i64: &mut [i64] = cast_mut(carry);
447
448        unsafe {
449            znx::znx_zero_i64_ref(n as u64, carry_i64.as_mut_ptr());
450        }
451
452        let mask: i64 = (1 << k_rem) - 1;
453        let log_base2k: usize = log_base2k;
454
455        (cols_steps..cols).for_each(|i| {
456            izip!(carry_i64.iter_mut(), a.at_mut(i).iter_mut()).for_each(|(ci, xi)| {
457                *xi += *ci << log_base2k;
458                *ci = *xi & mask;
459                *xi /= 1 << k_rem;
460            });
461        })
462    }
463}
464
465pub trait VecZnxOps {
466    /// Allocates a new [VecZnx].
467    ///
468    /// # Arguments
469    ///
470    /// * `cols`: the number of cols.
471    fn new_vec_znx(&self, cols: usize) -> VecZnx;
472
473    /// Returns the minimum number of bytes necessary to allocate
474    /// a new [VecZnx] through [VecZnx::from_bytes].
475    fn bytes_of_vec_znx(&self, cols: usize) -> usize;
476
477    /// c <- a + b.
478    fn vec_znx_add<T: VecZnxApi + Infos>(&self, c: &mut T, a: &T, b: &T);
479
480    /// b <- b + a.
481    fn vec_znx_add_inplace<T: VecZnxApi + Infos>(&self, b: &mut T, a: &T);
482
483    /// c <- a - b.
484    fn vec_znx_sub<T: VecZnxApi + Infos>(&self, c: &mut T, a: &T, b: &T);
485
486    /// b <- b - a.
487    fn vec_znx_sub_inplace<T: VecZnxApi + Infos>(&self, b: &mut T, a: &T);
488
489    /// b <- -a.
490    fn vec_znx_negate<T: VecZnxApi + Infos>(&self, b: &mut T, a: &T);
491
492    /// b <- -b.
493    fn vec_znx_negate_inplace<T: VecZnxApi + Infos>(&self, a: &mut T);
494
495    /// b <- a * X^k (mod X^{n} + 1)
496    fn vec_znx_rotate<T: VecZnxApi + Infos>(&self, k: i64, b: &mut T, a: &T);
497
498    /// a <- a * X^k (mod X^{n} + 1)
499    fn vec_znx_rotate_inplace<T: VecZnxApi + Infos>(&self, k: i64, a: &mut T);
500
501    /// b <- phi_k(a) where phi_k: X^i -> X^{i*k} (mod (X^{n} + 1))
502    fn vec_znx_automorphism<T: VecZnxApi + Infos>(&self, k: i64, b: &mut T, a: &T, a_cols: usize);
503
504    /// a <- phi_k(a) where phi_k: X^i -> X^{i*k} (mod (X^{n} + 1))
505    fn vec_znx_automorphism_inplace<T: VecZnxApi + Infos>(&self, k: i64, a: &mut T, a_cols: usize);
506
507    /// Splits b into subrings and copies them them into a.
508    ///
509    /// # Panics
510    ///
511    /// This method requires that all [VecZnx] of b have the same ring degree
512    /// and that b.n() * b.len() <= a.n()
513    fn vec_znx_split<T: VecZnxApi + Infos>(&self, b: &mut Vec<T>, a: &T, buf: &mut T);
514
515    /// Merges the subrings a into b.
516    ///
517    /// # Panics
518    ///
519    /// This method requires that all [VecZnx] of a have the same ring degree
520    /// and that a.n() * a.len() <= b.n()
521    fn vec_znx_merge<T: VecZnxApi + Infos>(&self, b: &mut T, a: &Vec<T>);
522}
523
524impl VecZnxOps for Module {
525    fn new_vec_znx(&self, cols: usize) -> VecZnx {
526        VecZnx::new(self.n(), cols)
527    }
528
529    fn bytes_of_vec_znx(&self, cols: usize) -> usize {
530        self.n() * cols * 8
531    }
532
533    // c <- a + b
534    fn vec_znx_add<T: VecZnxApi + Infos>(&self, c: &mut T, a: &T, b: &T) {
535        unsafe {
536            vec_znx::vec_znx_add(
537                self.0,
538                c.as_mut_ptr(),
539                c.cols() as u64,
540                c.n() as u64,
541                a.as_ptr(),
542                a.cols() as u64,
543                a.n() as u64,
544                b.as_ptr(),
545                b.cols() as u64,
546                b.n() as u64,
547            )
548        }
549    }
550
551    // b <- a + b
552    fn vec_znx_add_inplace<T: VecZnxApi + Infos>(&self, b: &mut T, a: &T) {
553        unsafe {
554            vec_znx::vec_znx_add(
555                self.0,
556                b.as_mut_ptr(),
557                b.cols() as u64,
558                b.n() as u64,
559                a.as_ptr(),
560                a.cols() as u64,
561                a.n() as u64,
562                b.as_ptr(),
563                b.cols() as u64,
564                b.n() as u64,
565            )
566        }
567    }
568
569    // c <- a + b
570    fn vec_znx_sub<T: VecZnxApi + Infos>(&self, c: &mut T, a: &T, b: &T) {
571        unsafe {
572            vec_znx::vec_znx_sub(
573                self.0,
574                c.as_mut_ptr(),
575                c.cols() as u64,
576                c.n() as u64,
577                a.as_ptr(),
578                a.cols() as u64,
579                a.n() as u64,
580                b.as_ptr(),
581                b.cols() as u64,
582                b.n() as u64,
583            )
584        }
585    }
586
587    // b <- a + b
588    fn vec_znx_sub_inplace<T: VecZnxApi + Infos>(&self, b: &mut T, a: &T) {
589        unsafe {
590            vec_znx::vec_znx_sub(
591                self.0,
592                b.as_mut_ptr(),
593                b.cols() as u64,
594                b.n() as u64,
595                a.as_ptr(),
596                a.cols() as u64,
597                a.n() as u64,
598                b.as_ptr(),
599                b.cols() as u64,
600                b.n() as u64,
601            )
602        }
603    }
604
605    fn vec_znx_negate<T: VecZnxApi + Infos>(&self, b: &mut T, a: &T) {
606        unsafe {
607            vec_znx::vec_znx_negate(
608                self.0,
609                b.as_mut_ptr(),
610                b.cols() as u64,
611                b.n() as u64,
612                a.as_ptr(),
613                a.cols() as u64,
614                a.n() as u64,
615            )
616        }
617    }
618
619    fn vec_znx_negate_inplace<T: VecZnxApi + Infos>(&self, a: &mut T) {
620        unsafe {
621            vec_znx::vec_znx_negate(
622                self.0,
623                a.as_mut_ptr(),
624                a.cols() as u64,
625                a.n() as u64,
626                a.as_ptr(),
627                a.cols() as u64,
628                a.n() as u64,
629            )
630        }
631    }
632
633    fn vec_znx_rotate<T: VecZnxApi + Infos>(&self, k: i64, a: &mut T, b: &T) {
634        unsafe {
635            vec_znx::vec_znx_rotate(
636                self.0,
637                k,
638                a.as_mut_ptr(),
639                a.cols() as u64,
640                a.n() as u64,
641                b.as_ptr(),
642                b.cols() as u64,
643                b.n() as u64,
644            )
645        }
646    }
647
648    fn vec_znx_rotate_inplace<T: VecZnxApi + Infos>(&self, k: i64, a: &mut T) {
649        unsafe {
650            vec_znx::vec_znx_rotate(
651                self.0,
652                k,
653                a.as_mut_ptr(),
654                a.cols() as u64,
655                a.n() as u64,
656                a.as_ptr(),
657                a.cols() as u64,
658                a.n() as u64,
659            )
660        }
661    }
662
663    /// Maps X^i to X^{ik} mod X^{n}+1. The mapping is applied independently on each cols.
664    ///
665    /// # Arguments
666    ///
667    /// * `a`: input.
668    /// * `b`: output.
669    /// * `k`: the power to which to map each coefficients.
670    /// * `a_cols`: the number of a_cols on which to apply the mapping.
671    ///
672    /// # Panics
673    ///
674    /// The method will panic if the argument `a` is greater than `a.cols()`.
675    ///
676    /// # Example
677    /// ```
678    /// use base2k::{Module, FFT64, VecZnx, Encoding, Infos, VecZnxApi, VecZnxOps};
679    /// use itertools::izip;
680    ///
681    /// let n: usize = 8; // polynomial degree
682    /// let module = Module::new::<FFT64>(n);
683    /// let mut a: VecZnx = module.new_vec_znx(2);
684    /// let mut b: VecZnx = module.new_vec_znx(2);
685    /// let mut c: VecZnx = module.new_vec_znx(2);
686    ///
687    /// (0..a.cols()).for_each(|i|{
688    ///     a.at_mut(i).iter_mut().enumerate().for_each(|(i, x)|{
689    ///         *x = i as i64
690    ///     })
691    /// });
692    ///
693    /// module.vec_znx_automorphism(-1, &mut b, &a, 1); // X^i -> X^(-i)
694    /// let col = c.at_mut(0);
695    /// (1..col.len()).for_each(|i|{
696    ///     col[n-i] = -(i as i64)
697    /// });
698    /// izip!(b.data.iter(), c.data.iter()).for_each(|(a, b)| assert_eq!(a, b, "{} != {}", a, b));
699    /// ```
700    fn vec_znx_automorphism<T: VecZnxApi + Infos>(&self, k: i64, b: &mut T, a: &T, a_cols: usize) {
701        assert_eq!(a.n(), self.n());
702        assert_eq!(b.n(), self.n());
703        assert!(a.cols() >= a_cols);
704        unsafe {
705            vec_znx::vec_znx_automorphism(
706                self.0,
707                k,
708                b.as_mut_ptr(),
709                b.cols() as u64,
710                b.n() as u64,
711                a.as_ptr(),
712                a_cols as u64,
713                a.n() as u64,
714            );
715        }
716    }
717
718    /// Maps X^i to X^{ik} mod X^{n}+1. The mapping is applied independently on each cols.
719    ///
720    /// # Arguments
721    ///
722    /// * `a`: input and output.
723    /// * `k`: the power to which to map each coefficients.
724    /// * `a_cols`: the number of cols on which to apply the mapping.
725    ///
726    /// # Panics
727    ///
728    /// The method will panic if the argument `cols` is greater than `self.cols()`.
729    ///
730    /// # Example
731    /// ```
732    /// use base2k::{Module, FFT64, VecZnx, Encoding, Infos, VecZnxApi, VecZnxOps};
733    /// use itertools::izip;
734    ///
735    /// let n: usize = 8; // polynomial degree
736    /// let module = Module::new::<FFT64>(n);
737    /// let mut a: VecZnx = VecZnx::new(n, 2);
738    /// let mut b: VecZnx = VecZnx::new(n, 2);
739    ///
740    /// (0..a.cols()).for_each(|i|{
741    ///     a.at_mut(i).iter_mut().enumerate().for_each(|(i, x)|{
742    ///         *x = i as i64
743    ///     })
744    /// });
745    ///
746    /// module.vec_znx_automorphism_inplace(-1, &mut a, 1); // X^i -> X^(-i)
747    /// let col = b.at_mut(0);
748    /// (1..col.len()).for_each(|i|{
749    ///     col[n-i] = -(i as i64)
750    /// });
751    /// izip!(a.data.iter(), b.data.iter()).for_each(|(a, b)| assert_eq!(a, b, "{} != {}", a, b));
752    /// ```
753    fn vec_znx_automorphism_inplace<T: VecZnxApi + Infos>(&self, k: i64, a: &mut T, a_cols: usize) {
754        assert_eq!(a.n(), self.n());
755        assert!(a.cols() >= a_cols);
756        unsafe {
757            vec_znx::vec_znx_automorphism(
758                self.0,
759                k,
760                a.as_mut_ptr(),
761                a.cols() as u64,
762                a.n() as u64,
763                a.as_ptr(),
764                a_cols as u64,
765                a.n() as u64,
766            );
767        }
768    }
769
770    fn vec_znx_split<T: VecZnxApi + Infos>(&self, b: &mut Vec<T>, a: &T, buf: &mut T) {
771        let (n_in, n_out) = (a.n(), b[0].n());
772
773        assert!(
774            n_out < n_in,
775            "invalid a: output ring degree should be smaller"
776        );
777        b[1..].iter().for_each(|bi| {
778            assert_eq!(
779                bi.n(),
780                n_out,
781                "invalid input a: all VecZnx must have the same degree"
782            )
783        });
784
785        b.iter_mut().enumerate().for_each(|(i, bi)| {
786            if i == 0 {
787                switch_degree(bi, a);
788                self.vec_znx_rotate(-1, buf, a);
789            } else {
790                switch_degree(bi, buf);
791                self.vec_znx_rotate_inplace(-1, buf);
792            }
793        })
794    }
795
796    fn vec_znx_merge<T: VecZnxApi + Infos>(&self, b: &mut T, a: &Vec<T>) {
797        let (n_in, n_out) = (b.n(), a[0].n());
798
799        assert!(
800            n_out < n_in,
801            "invalid a: output ring degree should be smaller"
802        );
803        a[1..].iter().for_each(|ai| {
804            assert_eq!(
805                ai.n(),
806                n_out,
807                "invalid input a: all VecZnx must have the same degree"
808            )
809        });
810
811        a.iter().enumerate().for_each(|(_, ai)| {
812            switch_degree(b, ai);
813            self.vec_znx_rotate_inplace(-1, b);
814        });
815
816        self.vec_znx_rotate_inplace(a.len() as i64, b);
817    }
818}