arnaucube
arnaucube/poulpyPublic Self-hosted repository
poulpy/core/src/ggsw/keyswitch.rs
core/src/ggsw/keyswitch.rsRaw
  1use backend::hal::{
  2    api::{
  3        ScratchAvailable, TakeVecZnx, TakeVecZnxBig, TakeVecZnxDft, VecZnxBigAllocBytes, VecZnxCopy, VecZnxDftAddInplace,
  4        VecZnxDftCopy, VecZnxDftToVecZnxBigTmpA, VecZnxNormalizeTmpBytes, ZnxInfos,
  5    },
  6    layouts::{Backend, DataMut, DataRef, Module, Scratch, VecZnx, VmpPMat},
  7};
  8
  9use crate::{
 10    GGLWECiphertext, GGSWCiphertext, GLWECiphertext, GLWEKeyswitchFamily, GLWEOps, GLWESwitchingKeyExec, GLWETensorKeyExec, Infos,
 11};
 12
 13pub trait GGSWKeySwitchFamily<B> =
 14    GLWEKeyswitchFamily<B> + VecZnxBigAllocBytes + VecZnxDftCopy<B> + VecZnxDftAddInplace<B> + VecZnxDftToVecZnxBigTmpA<B>;
 15
 16impl GGSWCiphertext<Vec<u8>> {
 17    pub(crate) fn expand_row_scratch_space<B: Backend>(
 18        module: &Module<B>,
 19        n: usize,
 20        basek: usize,
 21        self_k: usize,
 22        k_tsk: usize,
 23        digits: usize,
 24        rank: usize,
 25    ) -> usize
 26    where
 27        Module<B>: GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
 28    {
 29        let tsk_size: usize = k_tsk.div_ceil(basek);
 30        let self_size_out: usize = self_k.div_ceil(basek);
 31        let self_size_in: usize = self_size_out.div_ceil(digits);
 32
 33        let tmp_dft_i: usize = module.vec_znx_dft_alloc_bytes(n, rank + 1, tsk_size);
 34        let tmp_a: usize = module.vec_znx_dft_alloc_bytes(n, 1, self_size_in);
 35        let vmp: usize = module.vmp_apply_tmp_bytes(
 36            n,
 37            self_size_out,
 38            self_size_in,
 39            self_size_in,
 40            rank,
 41            rank,
 42            tsk_size,
 43        );
 44        let tmp_idft: usize = module.vec_znx_big_alloc_bytes(n, 1, tsk_size);
 45        let norm: usize = module.vec_znx_normalize_tmp_bytes(n);
 46        tmp_dft_i + ((tmp_a + vmp) | (tmp_idft + norm))
 47    }
 48
 49    pub fn keyswitch_scratch_space<B: Backend>(
 50        module: &Module<B>,
 51        n: usize,
 52        basek: usize,
 53        k_out: usize,
 54        k_in: usize,
 55        k_ksk: usize,
 56        digits_ksk: usize,
 57        k_tsk: usize,
 58        digits_tsk: usize,
 59        rank: usize,
 60    ) -> usize
 61    where
 62        Module<B>: GLWEKeyswitchFamily<B> + GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
 63    {
 64        let out_size: usize = k_out.div_ceil(basek);
 65        let res_znx: usize = VecZnx::alloc_bytes(n, rank + 1, out_size);
 66        let ci_dft: usize = module.vec_znx_dft_alloc_bytes(n, rank + 1, out_size);
 67        let ks: usize = GLWECiphertext::keyswitch_scratch_space(module, n, basek, k_out, k_in, k_ksk, digits_ksk, rank, rank);
 68        let expand_rows: usize = GGSWCiphertext::expand_row_scratch_space(module, n, basek, k_out, k_tsk, digits_tsk, rank);
 69        let res_dft: usize = module.vec_znx_dft_alloc_bytes(n, rank + 1, out_size);
 70        res_znx + ci_dft + (ks | expand_rows | res_dft)
 71    }
 72
 73    pub fn keyswitch_inplace_scratch_space<B: Backend>(
 74        module: &Module<B>,
 75        n: usize,
 76        basek: usize,
 77        k_out: usize,
 78        k_ksk: usize,
 79        digits_ksk: usize,
 80        k_tsk: usize,
 81        digits_tsk: usize,
 82        rank: usize,
 83    ) -> usize
 84    where
 85        Module<B>: GLWEKeyswitchFamily<B> + GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
 86    {
 87        GGSWCiphertext::keyswitch_scratch_space(
 88            module, n, basek, k_out, k_out, k_ksk, digits_ksk, k_tsk, digits_tsk, rank,
 89        )
 90    }
 91}
 92
 93impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
 94    pub fn from_gglwe<DataA, DataTsk, B: Backend>(
 95        &mut self,
 96        module: &Module<B>,
 97        a: &GGLWECiphertext<DataA>,
 98        tsk: &GLWETensorKeyExec<DataTsk, B>,
 99        scratch: &mut Scratch<B>,
100    ) where
101        DataA: DataRef,
102        DataTsk: DataRef,
103        Module<B>: GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes + VecZnxCopy,
104        Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B> + ScratchAvailable + TakeVecZnx,
105    {
106        #[cfg(debug_assertions)]
107        {
108            assert_eq!(self.rank(), a.rank());
109            assert_eq!(self.rows(), a.rows());
110            assert_eq!(self.n(), module.n());
111            assert_eq!(a.n(), module.n());
112            assert_eq!(tsk.n(), module.n());
113        }
114        (0..self.rows()).for_each(|row_i| {
115            self.at_mut(row_i, 0).copy(module, &a.at(row_i, 0));
116        });
117        self.expand_row(module, tsk, scratch);
118    }
119
120    pub fn keyswitch<DataLhs: DataRef, DataKsk: DataRef, DataTsk: DataRef, B: Backend>(
121        &mut self,
122        module: &Module<B>,
123        lhs: &GGSWCiphertext<DataLhs>,
124        ksk: &GLWESwitchingKeyExec<DataKsk, B>,
125        tsk: &GLWETensorKeyExec<DataTsk, B>,
126        scratch: &mut Scratch<B>,
127    ) where
128        Module<B>: GLWEKeyswitchFamily<B> + GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
129        Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B> + ScratchAvailable,
130    {
131        self.keyswitch_internal(module, lhs, ksk, scratch);
132        self.expand_row(module, tsk, scratch);
133    }
134
135    pub fn keyswitch_inplace<DataKsk: DataRef, DataTsk: DataRef, B: Backend>(
136        &mut self,
137        module: &Module<B>,
138        ksk: &GLWESwitchingKeyExec<DataKsk, B>,
139        tsk: &GLWETensorKeyExec<DataTsk, B>,
140        scratch: &mut Scratch<B>,
141    ) where
142        Module<B>: GLWEKeyswitchFamily<B> + GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
143        Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B> + ScratchAvailable,
144    {
145        unsafe {
146            let self_ptr: *mut GGSWCiphertext<DataSelf> = self as *mut GGSWCiphertext<DataSelf>;
147            self.keyswitch(module, &*self_ptr, ksk, tsk, scratch);
148        }
149    }
150
151    pub fn expand_row<DataTsk: DataRef, B: Backend>(
152        &mut self,
153        module: &Module<B>,
154        tsk: &GLWETensorKeyExec<DataTsk, B>,
155        scratch: &mut Scratch<B>,
156    ) where
157        Module<B>: GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
158        Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B> + ScratchAvailable,
159    {
160        assert!(
161            scratch.available()
162                >= GGSWCiphertext::expand_row_scratch_space(
163                    module,
164                    self.n(),
165                    self.basek(),
166                    self.k(),
167                    tsk.k(),
168                    tsk.digits(),
169                    tsk.rank()
170                )
171        );
172
173        let n: usize = self.n();
174        let rank: usize = self.rank();
175        let cols: usize = rank + 1;
176
177        // Keyswitch the j-th row of the col 0
178        (0..self.rows()).for_each(|row_i| {
179            // Pre-compute DFT of (a0, a1, a2)
180            let (mut ci_dft, scratch1) = scratch.take_vec_znx_dft(n, cols, self.size());
181            (0..cols).for_each(|i| {
182                module.vec_znx_dft_from_vec_znx(1, 0, &mut ci_dft, i, &self.at(row_i, 0).data, i);
183            });
184
185            (1..cols).for_each(|col_j| {
186                // Example for rank 3:
187                //
188                // Note: M is a vector (m, Bm, B^2m, B^3m, ...), so each column is
189                // actually composed of that many rows and we focus on a specific row here
190                // implicitely given ci_dft.
191                //
192                // # Input
193                //
194                // col 0: (-(a0s0 + a1s1 + a2s2) + M[i], a0    , a1    , a2    )
195                // col 1: (0, 0, 0, 0)
196                // col 2: (0, 0, 0, 0)
197                // col 3: (0, 0, 0, 0)
198                //
199                // # Output
200                //
201                // col 0: (-(a0s0 + a1s1 + a2s2) + M[i], a0       , a1       , a2       )
202                // col 1: (-(b0s0 + b1s1 + b2s2)       , b0 + M[i], b1       , b2       )
203                // col 2: (-(c0s0 + c1s1 + c2s2)       , c0       , c1 + M[i], c2       )
204                // col 3: (-(d0s0 + d1s1 + d2s2)       , d0       , d1       , d2 + M[i])
205
206                let digits: usize = tsk.digits();
207
208                let (mut tmp_dft_i, scratch2) = scratch1.take_vec_znx_dft(n, cols, tsk.size());
209                let (mut tmp_a, scratch3) = scratch2.take_vec_znx_dft(n, 1, ci_dft.size().div_ceil(digits));
210
211                {
212                    // Performs a key-switch for each combination of s[i]*s[j], i.e. for a0, a1, a2
213                    //
214                    // # Example for col=1
215                    //
216                    // a0 * (-(f0s0 + f1s1 + f1s2) + s0^2, f0, f1, f2) = (-(a0f0s0 + a0f1s1 + a0f1s2) + a0s0^2, a0f0, a0f1, a0f2)
217                    // +
218                    // a1 * (-(g0s0 + g1s1 + g1s2) + s0s1, g0, g1, g2) = (-(a1g0s0 + a1g1s1 + a1g1s2) + a1s0s1, a1g0, a1g1, a1g2)
219                    // +
220                    // a2 * (-(h0s0 + h1s1 + h1s2) + s0s2, h0, h1, h2) = (-(a2h0s0 + a2h1s1 + a2h1s2) + a2s0s2, a2h0, a2h1, a2h2)
221                    // =
222                    // (-(x0s0 + x1s1 + x2s2) + s0(a0s0 + a1s1 + a2s2), x0, x1, x2)
223                    (1..cols).for_each(|col_i| {
224                        let pmat: &VmpPMat<DataTsk, B> = &tsk.at(col_i - 1, col_j - 1).key.data; // Selects Enc(s[i]s[j])
225
226                        // Extracts a[i] and multipies with Enc(s[i]s[j])
227                        (0..digits).for_each(|di| {
228                            tmp_a.set_size((ci_dft.size() + di) / digits);
229
230                            // Small optimization for digits > 2
231                            // VMP produce some error e, and since we aggregate vmp * 2^{di * B}, then
232                            // we also aggregate ei * 2^{di * B}, with the largest error being ei * 2^{(digits-1) * B}.
233                            // As such we can ignore the last digits-2 limbs safely of the sum of vmp products.
234                            // It is possible to further ignore the last digits-1 limbs, but this introduce
235                            // ~0.5 to 1 bit of additional noise, and thus not chosen here to ensure that the same
236                            // noise is kept with respect to the ideal functionality.
237                            tmp_dft_i.set_size(tsk.size() - ((digits - di) as isize - 2).max(0) as usize);
238
239                            module.vec_znx_dft_copy(digits, digits - 1 - di, &mut tmp_a, 0, &ci_dft, col_i);
240                            if di == 0 && col_i == 1 {
241                                module.vmp_apply(&mut tmp_dft_i, &tmp_a, pmat, scratch3);
242                            } else {
243                                module.vmp_apply_add(&mut tmp_dft_i, &tmp_a, pmat, di, scratch3);
244                            }
245                        });
246                    });
247                }
248
249                // Adds -(sum a[i] * s[i]) + m)  on the i-th column of tmp_idft_i
250                //
251                // (-(x0s0 + x1s1 + x2s2) + a0s0s0 + a1s0s1 + a2s0s2, x0, x1, x2)
252                // +
253                // (0, -(a0s0 + a1s1 + a2s2) + M[i], 0, 0)
254                // =
255                // (-(x0s0 + x1s1 + x2s2) + s0(a0s0 + a1s1 + a2s2), x0 -(a0s0 + a1s1 + a2s2) + M[i], x1, x2)
256                // =
257                // (-(x0s0 + x1s1 + x2s2), x0 + M[i], x1, x2)
258                module.vec_znx_dft_add_inplace(&mut tmp_dft_i, col_j, &ci_dft, 0);
259                let (mut tmp_idft, scratch3) = scratch2.take_vec_znx_big(n, 1, tsk.size());
260                (0..cols).for_each(|i| {
261                    module.vec_znx_dft_to_vec_znx_big_tmp_a(&mut tmp_idft, 0, &mut tmp_dft_i, i);
262                    module.vec_znx_big_normalize(
263                        self.basek(),
264                        &mut self.at_mut(row_i, col_j).data,
265                        i,
266                        &tmp_idft,
267                        0,
268                        scratch3,
269                    );
270                });
271            })
272        })
273    }
274
275    fn keyswitch_internal<DataLhs: DataRef, DataKsk: DataRef, B: Backend>(
276        &mut self,
277        module: &Module<B>,
278        lhs: &GGSWCiphertext<DataLhs>,
279        ksk: &GLWESwitchingKeyExec<DataKsk, B>,
280        scratch: &mut Scratch<B>,
281    ) where
282        Module<B>: GLWEKeyswitchFamily<B> + GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
283        Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B> + ScratchAvailable,
284    {
285        // Keyswitch the j-th row of the col 0
286        (0..lhs.rows()).for_each(|row_i| {
287            // Key-switch column 0, i.e.
288            // col 0: (-(a0s0 + a1s1 + a2s2) + M[i], a0, a1, a2) -> (-(a0s0' + a1s1' + a2s2') + M[i], a0, a1, a2)
289            self.at_mut(row_i, 0)
290                .keyswitch(module, &lhs.at(row_i, 0), ksk, scratch);
291        })
292    }
293}