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https://github.com/arnaucube/poulpy.git
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working on adding rank to glwe (all test passing)
This commit is contained in:
Jean-Philippe Bossuat
542
core/src/test_fft64/gglwe.rs
Normal file
542
core/src/test_fft64/gglwe.rs
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@@ -0,0 +1,542 @@
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use base2k::{FFT64, Module, ScalarZnx, ScalarZnxAlloc, ScratchOwned, Stats, VecZnxOps, ZnxViewMut};
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use sampling::source::Source;
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use crate::{
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elem::{GetRow, Infos},
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ggsw_ciphertext::GGSWCiphertext,
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glwe_ciphertext_fourier::GLWECiphertextFourier,
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glwe_plaintext::GLWEPlaintext,
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keys::{SecretKey, SecretKeyFourier},
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keyswitch_key::GLWESwitchingKey,
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test_fft64::ggsw::noise_rgsw_product,
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};
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#[test]
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fn encrypt_sk() {
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let module: Module<FFT64> = Module::<FFT64>::new(2048);
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let log_base2k: usize = 8;
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let log_k_ct: usize = 54;
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let rows: usize = 4;
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let rank: usize = 1;
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let rank_out: usize = 1;
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let sigma: f64 = 3.2;
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let bound: f64 = sigma * 6.0;
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let mut ct: GLWESwitchingKey<Vec<u8>, FFT64> = GLWESwitchingKey::new(&module, log_base2k, log_k_ct, rows, rank, rank_out);
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let mut pt: GLWEPlaintext<Vec<u8>> = GLWEPlaintext::new(&module, log_base2k, log_k_ct);
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let mut pt_scalar: ScalarZnx<Vec<u8>> = module.new_scalar_znx(1);
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let mut source_xs: Source = Source::new([0u8; 32]);
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let mut source_xe: Source = Source::new([0u8; 32]);
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let mut source_xa: Source = Source::new([0u8; 32]);
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pt_scalar.fill_ternary_hw(0, module.n(), &mut source_xs);
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let mut scratch: ScratchOwned = ScratchOwned::new(
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GLWESwitchingKey::encrypt_sk_scratch_space(&module, rank, ct.size())
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| GLWECiphertextFourier::decrypt_scratch_space(&module, ct.size()),
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);
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let mut sk: SecretKey<Vec<u8>> = SecretKey::new(&module, rank);
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// sk.fill_ternary_prob(0.5, &mut source_xs);
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sk.fill_zero();
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let mut sk_dft: SecretKeyFourier<Vec<u8>, FFT64> = SecretKeyFourier::new(&module, rank);
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sk_dft.dft(&module, &sk);
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ct.encrypt_sk(
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&module,
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&pt_scalar,
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&sk_dft,
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&mut source_xa,
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&mut source_xe,
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sigma,
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bound,
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scratch.borrow(),
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);
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let mut ct_rlwe_dft: GLWECiphertextFourier<Vec<u8>, FFT64> = GLWECiphertextFourier::new(&module, log_base2k, log_k_ct, rank);
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(0..ct.rows()).for_each(|row_i| {
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ct.get_row(&module, row_i, 0, &mut ct_rlwe_dft);
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ct_rlwe_dft.decrypt(&module, &mut pt, &sk_dft, scratch.borrow());
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module.vec_znx_sub_scalar_inplace(&mut pt, 0, row_i, &pt_scalar, 0);
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let std_pt: f64 = pt.data.std(0, log_base2k) * (log_k_ct as f64).exp2();
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assert!((sigma - std_pt).abs() <= 0.2, "{} {}", sigma, std_pt);
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});
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}
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#[test]
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fn keyswitch() {
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let module: Module<FFT64> = Module::<FFT64>::new(2048);
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let log_base2k: usize = 12;
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let log_k_grlwe: usize = 60;
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let rows: usize = (log_k_grlwe + log_base2k - 1) / log_base2k;
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let rank: usize = 1;
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let sigma: f64 = 3.2;
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let bound: f64 = sigma * 6.0;
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let mut ct_grlwe_s0s1: GLWESwitchingKey<Vec<u8>, FFT64> =
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GLWESwitchingKey::new(&module, log_base2k, log_k_grlwe, rows, rank, rank);
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let mut ct_grlwe_s1s2: GLWESwitchingKey<Vec<u8>, FFT64> =
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GLWESwitchingKey::new(&module, log_base2k, log_k_grlwe, rows, rank, rank);
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let mut ct_grlwe_s0s2: GLWESwitchingKey<Vec<u8>, FFT64> =
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GLWESwitchingKey::new(&module, log_base2k, log_k_grlwe, rows, rank, rank);
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let mut source_xs: Source = Source::new([0u8; 32]);
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let mut source_xe: Source = Source::new([0u8; 32]);
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let mut source_xa: Source = Source::new([0u8; 32]);
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let mut scratch: ScratchOwned = ScratchOwned::new(
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GLWESwitchingKey::encrypt_sk_scratch_space(&module, rank, ct_grlwe_s0s1.size())
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| GLWECiphertextFourier::decrypt_scratch_space(&module, ct_grlwe_s0s2.size())
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| GLWESwitchingKey::keyswitch_scratch_space(
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&module,
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ct_grlwe_s0s2.size(),
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ct_grlwe_s0s1.size(),
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ct_grlwe_s1s2.size(),
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),
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);
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let mut sk0: SecretKey<Vec<u8>> = SecretKey::new(&module, rank);
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sk0.fill_ternary_prob(0.5, &mut source_xs);
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let mut sk0_dft: SecretKeyFourier<Vec<u8>, FFT64> = SecretKeyFourier::new(&module, rank);
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sk0_dft.dft(&module, &sk0);
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let mut sk1: SecretKey<Vec<u8>> = SecretKey::new(&module, rank);
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sk1.fill_ternary_prob(0.5, &mut source_xs);
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let mut sk1_dft: SecretKeyFourier<Vec<u8>, FFT64> = SecretKeyFourier::new(&module, rank);
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sk1_dft.dft(&module, &sk1);
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let mut sk2: SecretKey<Vec<u8>> = SecretKey::new(&module, rank);
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sk2.fill_ternary_prob(0.5, &mut source_xs);
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let mut sk2_dft: SecretKeyFourier<Vec<u8>, FFT64> = SecretKeyFourier::new(&module, rank);
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sk2_dft.dft(&module, &sk2);
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// GRLWE_{s1}(s0) = s0 -> s1
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ct_grlwe_s0s1.encrypt_sk(
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&module,
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&sk0.data,
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&sk1_dft,
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&mut source_xa,
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&mut source_xe,
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sigma,
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bound,
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scratch.borrow(),
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);
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// GRLWE_{s2}(s1) -> s1 -> s2
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ct_grlwe_s1s2.encrypt_sk(
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&module,
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&sk1.data,
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&sk2_dft,
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&mut source_xa,
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&mut source_xe,
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sigma,
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bound,
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scratch.borrow(),
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);
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// GRLWE_{s1}(s0) (x) GRLWE_{s2}(s1) = GRLWE_{s2}(s0)
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ct_grlwe_s0s2.keyswitch(&module, &ct_grlwe_s0s1, &ct_grlwe_s1s2, scratch.borrow());
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let mut ct_rlwe_dft_s0s2: GLWECiphertextFourier<Vec<u8>, FFT64> =
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GLWECiphertextFourier::new(&module, log_base2k, log_k_grlwe, rank);
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let mut pt: GLWEPlaintext<Vec<u8>> = GLWEPlaintext::new(&module, log_base2k, log_k_grlwe);
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(0..ct_grlwe_s0s2.rows()).for_each(|row_i| {
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ct_grlwe_s0s2.get_row(&module, row_i, 0, &mut ct_rlwe_dft_s0s2);
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ct_rlwe_dft_s0s2.decrypt(&module, &mut pt, &sk2_dft, scratch.borrow());
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module.vec_znx_sub_scalar_inplace(&mut pt, 0, row_i, &sk0, 0);
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let noise_have: f64 = pt.data.std(0, log_base2k).log2();
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let noise_want: f64 = noise_grlwe_rlwe_product(
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module.n() as f64,
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log_base2k,
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0.5,
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0.5,
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0f64,
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sigma * sigma,
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0f64,
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log_k_grlwe,
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log_k_grlwe,
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);
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assert!(
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(noise_have - noise_want).abs() <= 0.1,
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"{} {}",
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noise_have,
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noise_want
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);
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});
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}
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#[test]
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fn keyswitch_inplace() {
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let module: Module<FFT64> = Module::<FFT64>::new(2048);
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let log_base2k: usize = 12;
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let log_k_grlwe: usize = 60;
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let rows: usize = (log_k_grlwe + log_base2k - 1) / log_base2k;
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let rank: usize = 1;
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let rank_out: usize = 1;
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let sigma: f64 = 3.2;
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let bound: f64 = sigma * 6.0;
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let mut ct_grlwe_s0s1: GLWESwitchingKey<Vec<u8>, FFT64> =
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GLWESwitchingKey::new(&module, log_base2k, log_k_grlwe, rows, rank, rank_out);
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let mut ct_grlwe_s1s2: GLWESwitchingKey<Vec<u8>, FFT64> =
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GLWESwitchingKey::new(&module, log_base2k, log_k_grlwe, rows, rank, rank_out);
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let mut source_xs: Source = Source::new([0u8; 32]);
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let mut source_xe: Source = Source::new([0u8; 32]);
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let mut source_xa: Source = Source::new([0u8; 32]);
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let mut scratch: ScratchOwned = ScratchOwned::new(
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GLWESwitchingKey::encrypt_sk_scratch_space(&module, rank, ct_grlwe_s0s1.size())
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| GLWECiphertextFourier::decrypt_scratch_space(&module, ct_grlwe_s0s1.size())
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| GLWESwitchingKey::keyswitch_inplace_scratch_space(&module, ct_grlwe_s0s1.size(), ct_grlwe_s1s2.size()),
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);
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let mut sk0: SecretKey<Vec<u8>> = SecretKey::new(&module, rank);
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sk0.fill_ternary_prob(0.5, &mut source_xs);
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let mut sk0_dft: SecretKeyFourier<Vec<u8>, FFT64> = SecretKeyFourier::new(&module, rank);
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sk0_dft.dft(&module, &sk0);
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let mut sk1: SecretKey<Vec<u8>> = SecretKey::new(&module, rank);
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sk1.fill_ternary_prob(0.5, &mut source_xs);
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let mut sk1_dft: SecretKeyFourier<Vec<u8>, FFT64> = SecretKeyFourier::new(&module, rank);
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sk1_dft.dft(&module, &sk1);
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let mut sk2: SecretKey<Vec<u8>> = SecretKey::new(&module, rank);
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sk2.fill_ternary_prob(0.5, &mut source_xs);
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let mut sk2_dft: SecretKeyFourier<Vec<u8>, FFT64> = SecretKeyFourier::new(&module, rank);
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sk2_dft.dft(&module, &sk2);
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// GRLWE_{s1}(s0) = s0 -> s1
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ct_grlwe_s0s1.encrypt_sk(
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&module,
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&sk0.data,
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&sk1_dft,
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&mut source_xa,
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&mut source_xe,
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sigma,
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bound,
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scratch.borrow(),
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);
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// GRLWE_{s2}(s1) -> s1 -> s2
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ct_grlwe_s1s2.encrypt_sk(
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&module,
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&sk1.data,
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&sk2_dft,
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&mut source_xa,
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&mut source_xe,
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sigma,
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bound,
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scratch.borrow(),
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);
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// GRLWE_{s1}(s0) (x) GRLWE_{s2}(s1) = GRLWE_{s2}(s0)
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ct_grlwe_s0s1.keyswitch_inplace(&module, &ct_grlwe_s1s2, scratch.borrow());
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let ct_grlwe_s0s2: GLWESwitchingKey<Vec<u8>, FFT64> = ct_grlwe_s0s1;
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let mut ct_rlwe_dft_s0s2: GLWECiphertextFourier<Vec<u8>, FFT64> =
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GLWECiphertextFourier::new(&module, log_base2k, log_k_grlwe, rank);
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let mut pt: GLWEPlaintext<Vec<u8>> = GLWEPlaintext::new(&module, log_base2k, log_k_grlwe);
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(0..ct_grlwe_s0s2.rows()).for_each(|row_i| {
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ct_grlwe_s0s2.get_row(&module, row_i, 0, &mut ct_rlwe_dft_s0s2);
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ct_rlwe_dft_s0s2.decrypt(&module, &mut pt, &sk2_dft, scratch.borrow());
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module.vec_znx_sub_scalar_inplace(&mut pt, 0, row_i, &sk0, 0);
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let noise_have: f64 = pt.data.std(0, log_base2k).log2();
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let noise_want: f64 = noise_grlwe_rlwe_product(
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module.n() as f64,
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log_base2k,
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0.5,
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0.5,
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0f64,
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sigma * sigma,
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0f64,
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log_k_grlwe,
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log_k_grlwe,
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);
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assert!(
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(noise_have - noise_want).abs() <= 0.1,
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"{} {}",
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noise_have,
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noise_want
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);
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});
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}
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#[test]
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fn external_product() {
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let module: Module<FFT64> = Module::<FFT64>::new(2048);
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let log_base2k: usize = 12;
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let log_k_grlwe: usize = 60;
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let rows: usize = (log_k_grlwe + log_base2k - 1) / log_base2k;
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let rank: usize = 1;
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let rank_out: usize = 1;
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let sigma: f64 = 3.2;
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let bound: f64 = sigma * 6.0;
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let mut ct_grlwe_in: GLWESwitchingKey<Vec<u8>, FFT64> =
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GLWESwitchingKey::new(&module, log_base2k, log_k_grlwe, rows, rank, rank_out);
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let mut ct_grlwe_out: GLWESwitchingKey<Vec<u8>, FFT64> =
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GLWESwitchingKey::new(&module, log_base2k, log_k_grlwe, rows, rank, rank_out);
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let mut ct_rgsw: GGSWCiphertext<Vec<u8>, FFT64> = GGSWCiphertext::new(&module, log_base2k, log_k_grlwe, rows, rank);
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let mut pt_rgsw: ScalarZnx<Vec<u8>> = module.new_scalar_znx(1);
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let mut pt_grlwe: ScalarZnx<Vec<u8>> = module.new_scalar_znx(1);
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let mut source_xs: Source = Source::new([0u8; 32]);
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let mut source_xe: Source = Source::new([0u8; 32]);
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let mut source_xa: Source = Source::new([0u8; 32]);
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let mut scratch: ScratchOwned = ScratchOwned::new(
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GLWESwitchingKey::encrypt_sk_scratch_space(&module, rank, ct_grlwe_in.size())
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| GLWECiphertextFourier::decrypt_scratch_space(&module, ct_grlwe_out.size())
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| GLWESwitchingKey::external_product_scratch_space(
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&module,
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ct_grlwe_out.size(),
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ct_grlwe_in.size(),
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ct_rgsw.size(),
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)
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| GGSWCiphertext::encrypt_sk_scratch_space(&module, rank, ct_rgsw.size()),
|
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);
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let k: usize = 1;
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pt_rgsw.raw_mut()[k] = 1; // X^{k}
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pt_grlwe.fill_ternary_prob(0, 0.5, &mut source_xs);
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|
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let mut sk: SecretKey<Vec<u8>> = SecretKey::new(&module, rank);
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sk.fill_ternary_prob(0.5, &mut source_xs);
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|
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let mut sk_dft: SecretKeyFourier<Vec<u8>, FFT64> = SecretKeyFourier::new(&module, rank);
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sk_dft.dft(&module, &sk);
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// GRLWE_{s1}(s0) = s0 -> s1
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ct_grlwe_in.encrypt_sk(
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&module,
|
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&pt_grlwe,
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&sk_dft,
|
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&mut source_xa,
|
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&mut source_xe,
|
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sigma,
|
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bound,
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scratch.borrow(),
|
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);
|
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|
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ct_rgsw.encrypt_sk(
|
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&module,
|
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&pt_rgsw,
|
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&sk_dft,
|
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&mut source_xa,
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&mut source_xe,
|
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sigma,
|
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bound,
|
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scratch.borrow(),
|
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);
|
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|
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// GRLWE_(m) (x) RGSW_(X^k) = GRLWE_(m * X^k)
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ct_grlwe_out.external_product(&module, &ct_grlwe_in, &ct_rgsw, scratch.borrow());
|
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|
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let mut ct_rlwe_dft_s0s2: GLWECiphertextFourier<Vec<u8>, FFT64> =
|
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GLWECiphertextFourier::new(&module, log_base2k, log_k_grlwe, rank);
|
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let mut pt: GLWEPlaintext<Vec<u8>> = GLWEPlaintext::new(&module, log_base2k, log_k_grlwe);
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|
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module.vec_znx_rotate_inplace(k as i64, &mut pt_grlwe, 0);
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|
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(0..ct_grlwe_out.rows()).for_each(|row_i| {
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ct_grlwe_out.get_row(&module, row_i, 0, &mut ct_rlwe_dft_s0s2);
|
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ct_rlwe_dft_s0s2.decrypt(&module, &mut pt, &sk_dft, scratch.borrow());
|
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module.vec_znx_sub_scalar_inplace(&mut pt, 0, row_i, &pt_grlwe, 0);
|
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|
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let noise_have: f64 = pt.data.std(0, log_base2k).log2();
|
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|
||||
let var_gct_err_lhs: f64 = sigma * sigma;
|
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let var_gct_err_rhs: f64 = 0f64;
|
||||
|
||||
let var_msg: f64 = 1f64 / module.n() as f64; // X^{k}
|
||||
let var_a0_err: f64 = sigma * sigma;
|
||||
let var_a1_err: f64 = 1f64 / 12f64;
|
||||
|
||||
let noise_want: f64 = noise_rgsw_product(
|
||||
module.n() as f64,
|
||||
log_base2k,
|
||||
0.5,
|
||||
var_msg,
|
||||
var_a0_err,
|
||||
var_a1_err,
|
||||
var_gct_err_lhs,
|
||||
var_gct_err_rhs,
|
||||
log_k_grlwe,
|
||||
log_k_grlwe,
|
||||
);
|
||||
|
||||
assert!(
|
||||
(noise_have - noise_want).abs() <= 0.1,
|
||||
"{} {}",
|
||||
noise_have,
|
||||
noise_want
|
||||
);
|
||||
});
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn external_product_inplace() {
|
||||
let module: Module<FFT64> = Module::<FFT64>::new(2048);
|
||||
let log_base2k: usize = 12;
|
||||
let log_k_grlwe: usize = 60;
|
||||
let rows: usize = (log_k_grlwe + log_base2k - 1) / log_base2k;
|
||||
|
||||
let rank = 1;
|
||||
let rank_out = 1;
|
||||
|
||||
let sigma: f64 = 3.2;
|
||||
let bound: f64 = sigma * 6.0;
|
||||
|
||||
let mut ct_grlwe: GLWESwitchingKey<Vec<u8>, FFT64> =
|
||||
GLWESwitchingKey::new(&module, log_base2k, log_k_grlwe, rows, rank, rank_out);
|
||||
let mut ct_rgsw: GGSWCiphertext<Vec<u8>, FFT64> = GGSWCiphertext::new(&module, log_base2k, log_k_grlwe, rows, rank);
|
||||
|
||||
let mut pt_rgsw: ScalarZnx<Vec<u8>> = module.new_scalar_znx(1);
|
||||
let mut pt_grlwe: ScalarZnx<Vec<u8>> = module.new_scalar_znx(1);
|
||||
|
||||
let mut source_xs: Source = Source::new([0u8; 32]);
|
||||
let mut source_xe: Source = Source::new([0u8; 32]);
|
||||
let mut source_xa: Source = Source::new([0u8; 32]);
|
||||
|
||||
let mut scratch: ScratchOwned = ScratchOwned::new(
|
||||
GLWESwitchingKey::encrypt_sk_scratch_space(&module, rank, ct_grlwe.size())
|
||||
| GLWECiphertextFourier::decrypt_scratch_space(&module, ct_grlwe.size())
|
||||
| GLWESwitchingKey::external_product_inplace_scratch_space(&module, ct_grlwe.size(), ct_rgsw.size())
|
||||
| GGSWCiphertext::encrypt_sk_scratch_space(&module, rank, ct_rgsw.size()),
|
||||
);
|
||||
|
||||
let k: usize = 1;
|
||||
|
||||
pt_rgsw.raw_mut()[k] = 1; // X^{k}
|
||||
|
||||
pt_grlwe.fill_ternary_prob(0, 0.5, &mut source_xs);
|
||||
|
||||
let mut sk: SecretKey<Vec<u8>> = SecretKey::new(&module, rank);
|
||||
sk.fill_ternary_prob(0.5, &mut source_xs);
|
||||
|
||||
let mut sk_dft: SecretKeyFourier<Vec<u8>, FFT64> = SecretKeyFourier::new(&module, rank);
|
||||
sk_dft.dft(&module, &sk);
|
||||
|
||||
// GRLWE_{s1}(s0) = s0 -> s1
|
||||
ct_grlwe.encrypt_sk(
|
||||
&module,
|
||||
&pt_grlwe,
|
||||
&sk_dft,
|
||||
&mut source_xa,
|
||||
&mut source_xe,
|
||||
sigma,
|
||||
bound,
|
||||
scratch.borrow(),
|
||||
);
|
||||
|
||||
ct_rgsw.encrypt_sk(
|
||||
&module,
|
||||
&pt_rgsw,
|
||||
&sk_dft,
|
||||
&mut source_xa,
|
||||
&mut source_xe,
|
||||
sigma,
|
||||
bound,
|
||||
scratch.borrow(),
|
||||
);
|
||||
|
||||
// GRLWE_(m) (x) RGSW_(X^k) = GRLWE_(m * X^k)
|
||||
ct_grlwe.external_product_inplace(&module, &ct_rgsw, scratch.borrow());
|
||||
|
||||
let mut ct_rlwe_dft_s0s2: GLWECiphertextFourier<Vec<u8>, FFT64> =
|
||||
GLWECiphertextFourier::new(&module, log_base2k, log_k_grlwe, rank);
|
||||
let mut pt: GLWEPlaintext<Vec<u8>> = GLWEPlaintext::new(&module, log_base2k, log_k_grlwe);
|
||||
|
||||
module.vec_znx_rotate_inplace(k as i64, &mut pt_grlwe, 0);
|
||||
|
||||
(0..ct_grlwe.rows()).for_each(|row_i| {
|
||||
ct_grlwe.get_row(&module, row_i, 0, &mut ct_rlwe_dft_s0s2);
|
||||
ct_rlwe_dft_s0s2.decrypt(&module, &mut pt, &sk_dft, scratch.borrow());
|
||||
module.vec_znx_sub_scalar_inplace(&mut pt, 0, row_i, &pt_grlwe, 0);
|
||||
|
||||
let noise_have: f64 = pt.data.std(0, log_base2k).log2();
|
||||
|
||||
let var_gct_err_lhs: f64 = sigma * sigma;
|
||||
let var_gct_err_rhs: f64 = 0f64;
|
||||
|
||||
let var_msg: f64 = 1f64 / module.n() as f64; // X^{k}
|
||||
let var_a0_err: f64 = sigma * sigma;
|
||||
let var_a1_err: f64 = 1f64 / 12f64;
|
||||
|
||||
let noise_want: f64 = noise_rgsw_product(
|
||||
module.n() as f64,
|
||||
log_base2k,
|
||||
0.5,
|
||||
var_msg,
|
||||
var_a0_err,
|
||||
var_a1_err,
|
||||
var_gct_err_lhs,
|
||||
var_gct_err_rhs,
|
||||
log_k_grlwe,
|
||||
log_k_grlwe,
|
||||
);
|
||||
|
||||
assert!(
|
||||
(noise_have - noise_want).abs() <= 0.1,
|
||||
"{} {}",
|
||||
noise_have,
|
||||
noise_want
|
||||
);
|
||||
});
|
||||
}
|
||||
|
||||
pub(crate) fn noise_grlwe_rlwe_product(
|
||||
n: f64,
|
||||
log_base2k: usize,
|
||||
var_xs: f64,
|
||||
var_msg: f64,
|
||||
var_a_err: f64,
|
||||
var_gct_err_lhs: f64,
|
||||
var_gct_err_rhs: f64,
|
||||
a_logq: usize,
|
||||
b_logq: usize,
|
||||
) -> f64 {
|
||||
let a_logq: usize = a_logq.min(b_logq);
|
||||
let a_cols: usize = (a_logq + log_base2k - 1) / log_base2k;
|
||||
|
||||
let b_scale = 2.0f64.powi(b_logq as i32);
|
||||
let a_scale: f64 = 2.0f64.powi((b_logq - a_logq) as i32);
|
||||
|
||||
let base: f64 = (1 << (log_base2k)) as f64;
|
||||
let var_base: f64 = base * base / 12f64;
|
||||
|
||||
// lhs = a_cols * n * (var_base * var_gct_err_lhs + var_e_a * var_msg * p^2)
|
||||
// rhs = a_cols * n * var_base * var_gct_err_rhs * var_xs
|
||||
let mut noise: f64 = (a_cols as f64) * n * var_base * (var_gct_err_lhs + var_xs * var_gct_err_rhs);
|
||||
noise += var_msg * var_a_err * a_scale * a_scale * n;
|
||||
noise = noise.sqrt();
|
||||
noise /= b_scale;
|
||||
noise.log2().min(-1.0) // max noise is [-2^{-1}, 2^{-1}]
|
||||
}
|
||||
Reference in New Issue
Block a user