arnaucube
arnaucube/poulpyPublic Self-hosted repository
poulpy/core/src/keyswitching/ggsw_ct.rs
core/src/keyswitching/ggsw_ct.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    layouts::{
 11        GGLWECiphertext, GGSWCiphertext, GLWECiphertext, Infos,
 12        prepared::{GGLWESwitchingKeyPrepared, GGLWETensorKeyPrepared},
 13    },
 14    operations::GLWEOperations,
 15    trait_families::{GGSWKeySwitchFamily, GLWEKeyswitchFamily},
 16};
 17
 18impl GGSWCiphertext<Vec<u8>> {
 19    pub(crate) fn expand_row_scratch_space<B: Backend>(
 20        module: &Module<B>,
 21        n: usize,
 22        basek: usize,
 23        self_k: usize,
 24        k_tsk: usize,
 25        digits: usize,
 26        rank: usize,
 27    ) -> usize
 28    where
 29        Module<B>: GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
 30    {
 31        let tsk_size: usize = k_tsk.div_ceil(basek);
 32        let self_size_out: usize = self_k.div_ceil(basek);
 33        let self_size_in: usize = self_size_out.div_ceil(digits);
 34
 35        let tmp_dft_i: usize = module.vec_znx_dft_alloc_bytes(n, rank + 1, tsk_size);
 36        let tmp_a: usize = module.vec_znx_dft_alloc_bytes(n, 1, self_size_in);
 37        let vmp: usize = module.vmp_apply_tmp_bytes(
 38            n,
 39            self_size_out,
 40            self_size_in,
 41            self_size_in,
 42            rank,
 43            rank,
 44            tsk_size,
 45        );
 46        let tmp_idft: usize = module.vec_znx_big_alloc_bytes(n, 1, tsk_size);
 47        let norm: usize = module.vec_znx_normalize_tmp_bytes(n);
 48        tmp_dft_i + ((tmp_a + vmp) | (tmp_idft + norm))
 49    }
 50
 51    pub fn keyswitch_scratch_space<B: Backend>(
 52        module: &Module<B>,
 53        n: usize,
 54        basek: usize,
 55        k_out: usize,
 56        k_in: usize,
 57        k_ksk: usize,
 58        digits_ksk: usize,
 59        k_tsk: usize,
 60        digits_tsk: usize,
 61        rank: usize,
 62    ) -> usize
 63    where
 64        Module<B>: GLWEKeyswitchFamily<B> + GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
 65    {
 66        let out_size: usize = k_out.div_ceil(basek);
 67        let res_znx: usize = VecZnx::alloc_bytes(n, rank + 1, out_size);
 68        let ci_dft: usize = module.vec_znx_dft_alloc_bytes(n, rank + 1, out_size);
 69        let ks: usize = GLWECiphertext::keyswitch_scratch_space(module, n, basek, k_out, k_in, k_ksk, digits_ksk, rank, rank);
 70        let expand_rows: usize = GGSWCiphertext::expand_row_scratch_space(module, n, basek, k_out, k_tsk, digits_tsk, rank);
 71        let res_dft: usize = module.vec_znx_dft_alloc_bytes(n, rank + 1, out_size);
 72        res_znx + ci_dft + (ks | expand_rows | res_dft)
 73    }
 74
 75    pub fn keyswitch_inplace_scratch_space<B: Backend>(
 76        module: &Module<B>,
 77        n: usize,
 78        basek: usize,
 79        k_out: usize,
 80        k_ksk: usize,
 81        digits_ksk: usize,
 82        k_tsk: usize,
 83        digits_tsk: usize,
 84        rank: usize,
 85    ) -> usize
 86    where
 87        Module<B>: GLWEKeyswitchFamily<B> + GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
 88    {
 89        GGSWCiphertext::keyswitch_scratch_space(
 90            module, n, basek, k_out, k_out, k_ksk, digits_ksk, k_tsk, digits_tsk, rank,
 91        )
 92    }
 93}
 94
 95impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
 96    pub fn from_gglwe<DataA, DataTsk, B: Backend>(
 97        &mut self,
 98        module: &Module<B>,
 99        a: &GGLWECiphertext<DataA>,
100        tsk: &GGLWETensorKeyPrepared<DataTsk, B>,
101        scratch: &mut Scratch<B>,
102    ) where
103        DataA: DataRef,
104        DataTsk: DataRef,
105        Module<B>: GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes + VecZnxCopy,
106        Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B> + ScratchAvailable + TakeVecZnx,
107    {
108        #[cfg(debug_assertions)]
109        {
110            assert_eq!(self.rank(), a.rank());
111            assert_eq!(self.rows(), a.rows());
112            assert_eq!(self.n(), module.n());
113            assert_eq!(a.n(), module.n());
114            assert_eq!(tsk.n(), module.n());
115        }
116        (0..self.rows()).for_each(|row_i| {
117            self.at_mut(row_i, 0).copy(module, &a.at(row_i, 0));
118        });
119        self.expand_row(module, tsk, scratch);
120    }
121
122    pub fn keyswitch<DataLhs: DataRef, DataKsk: DataRef, DataTsk: DataRef, B: Backend>(
123        &mut self,
124        module: &Module<B>,
125        lhs: &GGSWCiphertext<DataLhs>,
126        ksk: &GGLWESwitchingKeyPrepared<DataKsk, B>,
127        tsk: &GGLWETensorKeyPrepared<DataTsk, B>,
128        scratch: &mut Scratch<B>,
129    ) where
130        Module<B>: GLWEKeyswitchFamily<B> + GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
131        Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B> + ScratchAvailable,
132    {
133        self.keyswitch_internal(module, lhs, ksk, scratch);
134        self.expand_row(module, tsk, scratch);
135    }
136
137    pub fn keyswitch_inplace<DataKsk: DataRef, DataTsk: DataRef, B: Backend>(
138        &mut self,
139        module: &Module<B>,
140        ksk: &GGLWESwitchingKeyPrepared<DataKsk, B>,
141        tsk: &GGLWETensorKeyPrepared<DataTsk, B>,
142        scratch: &mut Scratch<B>,
143    ) where
144        Module<B>: GLWEKeyswitchFamily<B> + GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
145        Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B> + ScratchAvailable,
146    {
147        unsafe {
148            let self_ptr: *mut GGSWCiphertext<DataSelf> = self as *mut GGSWCiphertext<DataSelf>;
149            self.keyswitch(module, &*self_ptr, ksk, tsk, scratch);
150        }
151    }
152
153    pub fn expand_row<DataTsk: DataRef, B: Backend>(
154        &mut self,
155        module: &Module<B>,
156        tsk: &GGLWETensorKeyPrepared<DataTsk, B>,
157        scratch: &mut Scratch<B>,
158    ) where
159        Module<B>: GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
160        Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B> + ScratchAvailable,
161    {
162        assert!(
163            scratch.available()
164                >= GGSWCiphertext::expand_row_scratch_space(
165                    module,
166                    self.n(),
167                    self.basek(),
168                    self.k(),
169                    tsk.k(),
170                    tsk.digits(),
171                    tsk.rank()
172                )
173        );
174
175        let n: usize = self.n();
176        let rank: usize = self.rank();
177        let cols: usize = rank + 1;
178
179        // Keyswitch the j-th row of the col 0
180        (0..self.rows()).for_each(|row_i| {
181            // Pre-compute DFT of (a0, a1, a2)
182            let (mut ci_dft, scratch1) = scratch.take_vec_znx_dft(n, cols, self.size());
183            (0..cols).for_each(|i| {
184                module.vec_znx_dft_from_vec_znx(1, 0, &mut ci_dft, i, &self.at(row_i, 0).data, i);
185            });
186
187            (1..cols).for_each(|col_j| {
188                // Example for rank 3:
189                //
190                // Note: M is a vector (m, Bm, B^2m, B^3m, ...), so each column is
191                // actually composed of that many rows and we focus on a specific row here
192                // implicitely given ci_dft.
193                //
194                // # Input
195                //
196                // col 0: (-(a0s0 + a1s1 + a2s2) + M[i], a0    , a1    , a2    )
197                // col 1: (0, 0, 0, 0)
198                // col 2: (0, 0, 0, 0)
199                // col 3: (0, 0, 0, 0)
200                //
201                // # Output
202                //
203                // col 0: (-(a0s0 + a1s1 + a2s2) + M[i], a0       , a1       , a2       )
204                // col 1: (-(b0s0 + b1s1 + b2s2)       , b0 + M[i], b1       , b2       )
205                // col 2: (-(c0s0 + c1s1 + c2s2)       , c0       , c1 + M[i], c2       )
206                // col 3: (-(d0s0 + d1s1 + d2s2)       , d0       , d1       , d2 + M[i])
207
208                let digits: usize = tsk.digits();
209
210                let (mut tmp_dft_i, scratch2) = scratch1.take_vec_znx_dft(n, cols, tsk.size());
211                let (mut tmp_a, scratch3) = scratch2.take_vec_znx_dft(n, 1, ci_dft.size().div_ceil(digits));
212
213                {
214                    // Performs a key-switch for each combination of s[i]*s[j], i.e. for a0, a1, a2
215                    //
216                    // # Example for col=1
217                    //
218                    // a0 * (-(f0s0 + f1s1 + f1s2) + s0^2, f0, f1, f2) = (-(a0f0s0 + a0f1s1 + a0f1s2) + a0s0^2, a0f0, a0f1, a0f2)
219                    // +
220                    // a1 * (-(g0s0 + g1s1 + g1s2) + s0s1, g0, g1, g2) = (-(a1g0s0 + a1g1s1 + a1g1s2) + a1s0s1, a1g0, a1g1, a1g2)
221                    // +
222                    // a2 * (-(h0s0 + h1s1 + h1s2) + s0s2, h0, h1, h2) = (-(a2h0s0 + a2h1s1 + a2h1s2) + a2s0s2, a2h0, a2h1, a2h2)
223                    // =
224                    // (-(x0s0 + x1s1 + x2s2) + s0(a0s0 + a1s1 + a2s2), x0, x1, x2)
225                    (1..cols).for_each(|col_i| {
226                        let pmat: &VmpPMat<DataTsk, B> = &tsk.at(col_i - 1, col_j - 1).key.data; // Selects Enc(s[i]s[j])
227
228                        // Extracts a[i] and multipies with Enc(s[i]s[j])
229                        (0..digits).for_each(|di| {
230                            tmp_a.set_size((ci_dft.size() + di) / digits);
231
232                            // Small optimization for digits > 2
233                            // VMP produce some error e, and since we aggregate vmp * 2^{di * B}, then
234                            // we also aggregate ei * 2^{di * B}, with the largest error being ei * 2^{(digits-1) * B}.
235                            // As such we can ignore the last digits-2 limbs safely of the sum of vmp products.
236                            // It is possible to further ignore the last digits-1 limbs, but this introduce
237                            // ~0.5 to 1 bit of additional noise, and thus not chosen here to ensure that the same
238                            // noise is kept with respect to the ideal functionality.
239                            tmp_dft_i.set_size(tsk.size() - ((digits - di) as isize - 2).max(0) as usize);
240
241                            module.vec_znx_dft_copy(digits, digits - 1 - di, &mut tmp_a, 0, &ci_dft, col_i);
242                            if di == 0 && col_i == 1 {
243                                module.vmp_apply(&mut tmp_dft_i, &tmp_a, pmat, scratch3);
244                            } else {
245                                module.vmp_apply_add(&mut tmp_dft_i, &tmp_a, pmat, di, scratch3);
246                            }
247                        });
248                    });
249                }
250
251                // Adds -(sum a[i] * s[i]) + m)  on the i-th column of tmp_idft_i
252                //
253                // (-(x0s0 + x1s1 + x2s2) + a0s0s0 + a1s0s1 + a2s0s2, x0, x1, x2)
254                // +
255                // (0, -(a0s0 + a1s1 + a2s2) + M[i], 0, 0)
256                // =
257                // (-(x0s0 + x1s1 + x2s2) + s0(a0s0 + a1s1 + a2s2), x0 -(a0s0 + a1s1 + a2s2) + M[i], x1, x2)
258                // =
259                // (-(x0s0 + x1s1 + x2s2), x0 + M[i], x1, x2)
260                module.vec_znx_dft_add_inplace(&mut tmp_dft_i, col_j, &ci_dft, 0);
261                let (mut tmp_idft, scratch3) = scratch2.take_vec_znx_big(n, 1, tsk.size());
262                (0..cols).for_each(|i| {
263                    module.vec_znx_dft_to_vec_znx_big_tmp_a(&mut tmp_idft, 0, &mut tmp_dft_i, i);
264                    module.vec_znx_big_normalize(
265                        self.basek(),
266                        &mut self.at_mut(row_i, col_j).data,
267                        i,
268                        &tmp_idft,
269                        0,
270                        scratch3,
271                    );
272                });
273            })
274        })
275    }
276
277    fn keyswitch_internal<DataLhs: DataRef, DataKsk: DataRef, B: Backend>(
278        &mut self,
279        module: &Module<B>,
280        lhs: &GGSWCiphertext<DataLhs>,
281        ksk: &GGLWESwitchingKeyPrepared<DataKsk, B>,
282        scratch: &mut Scratch<B>,
283    ) where
284        Module<B>: GLWEKeyswitchFamily<B> + GGSWKeySwitchFamily<B> + VecZnxNormalizeTmpBytes,
285        Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B> + ScratchAvailable,
286    {
287        // Keyswitch the j-th row of the col 0
288        (0..lhs.rows()).for_each(|row_i| {
289            // Key-switch column 0, i.e.
290            // col 0: (-(a0s0 + a1s1 + a2s2) + M[i], a0, a1, a2) -> (-(a0s0' + a1s1' + a2s2') + M[i], a0, a1, a2)
291            self.at_mut(row_i, 0)
292                .keyswitch(module, &lhs.at(row_i, 0), ksk, scratch);
293        })
294    }
295}