diff options
Diffstat (limited to 'third_party/rust/num-bigint/tests/modpow.rs')
| -rw-r--r-- | third_party/rust/num-bigint/tests/modpow.rs | 150 |
1 files changed, 150 insertions, 0 deletions
diff --git a/third_party/rust/num-bigint/tests/modpow.rs b/third_party/rust/num-bigint/tests/modpow.rs new file mode 100644 index 0000000000..b7a992c863 --- /dev/null +++ b/third_party/rust/num-bigint/tests/modpow.rs @@ -0,0 +1,150 @@ +extern crate num_bigint; +extern crate num_integer; +extern crate num_traits; + +static BIG_B: &'static str = "\ + efac3c0a_0de55551_fee0bfe4_67fa017a_1a898fa1_6ca57cb1\ + ca9e3248_cacc09a9_b99d6abc_38418d0f_82ae4238_d9a68832\ + aadec7c1_ac5fed48_7a56a71b_67ac59d5_afb28022_20d9592d\ + 247c4efc_abbd9b75_586088ee_1dc00dc4_232a8e15_6e8191dd\ + 675b6ae0_c80f5164_752940bc_284b7cee_885c1e10_e495345b\ + 8fbe9cfd_e5233fe1_19459d0b_d64be53c_27de5a02_a829976b\ + 33096862_82dad291_bd38b6a9_be396646_ddaf8039_a2573c39\ + 1b14e8bc_2cb53e48_298c047e_d9879e9c_5a521076_f0e27df3\ + 990e1659_d3d8205b_6443ebc0_9918ebee_6764f668_9f2b2be3\ + b59cbc76_d76d0dfc_d737c3ec_0ccf9c00_ad0554bf_17e776ad\ + b4edf9cc_6ce540be_76229093_5c53893b"; + +static BIG_E: &'static str = "\ + be0e6ea6_08746133_e0fbc1bf_82dba91e_e2b56231_a81888d2\ + a833a1fc_f7ff002a_3c486a13_4f420bf3_a5435be9_1a5c8391\ + 774d6e6c_085d8357_b0c97d4d_2bb33f7c_34c68059_f78d2541\ + eacc8832_426f1816_d3be001e_b69f9242_51c7708e_e10efe98\ + 449c9a4a_b55a0f23_9d797410_515da00d_3ea07970_4478a2ca\ + c3d5043c_bd9be1b4_6dce479d_4302d344_84a939e6_0ab5ada7\ + 12ae34b2_30cc473c_9f8ee69d_2cac5970_29f5bf18_bc8203e4\ + f3e895a2_13c94f1e_24c73d77_e517e801_53661fdd_a2ce9e47\ + a73dd7f8_2f2adb1e_3f136bf7_8ae5f3b8_08730de1_a4eff678\ + e77a06d0_19a522eb_cbefba2a_9caf7736_b157c5c6_2d192591\ + 17946850_2ddb1822_117b68a0_32f7db88"; + +// This modulus is the prime from the 2048-bit MODP DH group: +// https://tools.ietf.org/html/rfc3526#section-3 +static BIG_M: &'static str = "\ + FFFFFFFF_FFFFFFFF_C90FDAA2_2168C234_C4C6628B_80DC1CD1\ + 29024E08_8A67CC74_020BBEA6_3B139B22_514A0879_8E3404DD\ + EF9519B3_CD3A431B_302B0A6D_F25F1437_4FE1356D_6D51C245\ + E485B576_625E7EC6_F44C42E9_A637ED6B_0BFF5CB6_F406B7ED\ + EE386BFB_5A899FA5_AE9F2411_7C4B1FE6_49286651_ECE45B3D\ + C2007CB8_A163BF05_98DA4836_1C55D39A_69163FA8_FD24CF5F\ + 83655D23_DCA3AD96_1C62F356_208552BB_9ED52907_7096966D\ + 670C354E_4ABC9804_F1746C08_CA18217C_32905E46_2E36CE3B\ + E39E772C_180E8603_9B2783A2_EC07A28F_B5C55DF0_6F4C52C9\ + DE2BCBF6_95581718_3995497C_EA956AE5_15D22618_98FA0510\ + 15728E5A_8AACAA68_FFFFFFFF_FFFFFFFF"; + +static BIG_R: &'static str = "\ + a1468311_6e56edc9_7a98228b_5e924776_0dd7836e_caabac13\ + eda5373b_4752aa65_a1454850_40dc770e_30aa8675_6be7d3a8\ + 9d3085e4_da5155cf_b451ef62_54d0da61_cf2b2c87_f495e096\ + 055309f7_77802bbb_37271ba8_1313f1b5_075c75d1_024b6c77\ + fdb56f17_b05bce61_e527ebfd_2ee86860_e9907066_edd526e7\ + 93d289bf_6726b293_41b0de24_eff82424_8dfd374b_4ec59542\ + 35ced2b2_6b195c90_10042ffb_8f58ce21_bc10ec42_64fda779\ + d352d234_3d4eaea6_a86111ad_a37e9555_43ca78ce_2885bed7\ + 5a30d182_f1cf6834_dc5b6e27_1a41ac34_a2e91e11_33363ff0\ + f88a7b04_900227c9_f6e6d06b_7856b4bb_4e354d61_060db6c8\ + 109c4735_6e7db425_7b5d74c7_0b709508"; + +mod biguint { + use num_bigint::BigUint; + use num_integer::Integer; + use num_traits::Num; + + fn check_modpow<T: Into<BigUint>>(b: T, e: T, m: T, r: T) { + let b: BigUint = b.into(); + let e: BigUint = e.into(); + let m: BigUint = m.into(); + let r: BigUint = r.into(); + + assert_eq!(b.modpow(&e, &m), r); + + let even_m = &m << 1; + let even_modpow = b.modpow(&e, &even_m); + assert!(even_modpow < even_m); + assert_eq!(even_modpow.mod_floor(&m), r); + } + + #[test] + fn test_modpow() { + check_modpow::<u32>(1, 0, 11, 1); + check_modpow::<u32>(0, 15, 11, 0); + check_modpow::<u32>(3, 7, 11, 9); + check_modpow::<u32>(5, 117, 19, 1); + } + + #[test] + fn test_modpow_big() { + let b = BigUint::from_str_radix(super::BIG_B, 16).unwrap(); + let e = BigUint::from_str_radix(super::BIG_E, 16).unwrap(); + let m = BigUint::from_str_radix(super::BIG_M, 16).unwrap(); + let r = BigUint::from_str_radix(super::BIG_R, 16).unwrap(); + + assert_eq!(b.modpow(&e, &m), r); + + let even_m = &m << 1; + let even_modpow = b.modpow(&e, &even_m); + assert!(even_modpow < even_m); + assert_eq!(even_modpow % m, r); + } +} + +mod bigint { + use num_bigint::BigInt; + use num_integer::Integer; + use num_traits::{Num, One, Signed, Zero}; + + fn check_modpow<T: Into<BigInt>>(b: T, e: T, m: T, r: T) { + fn check(b: &BigInt, e: &BigInt, m: &BigInt, r: &BigInt) { + assert_eq!(&b.modpow(e, m), r); + + let even_m = m << 1; + let even_modpow = b.modpow(e, m); + assert!(even_modpow.abs() < even_m.abs()); + assert_eq!(&even_modpow.mod_floor(&m), r); + + // the sign of the result follows the modulus like `mod_floor`, not `rem` + assert_eq!(b.modpow(&BigInt::one(), m), b.mod_floor(m)); + } + + let b: BigInt = b.into(); + let e: BigInt = e.into(); + let m: BigInt = m.into(); + let r: BigInt = r.into(); + + let neg_r = if r.is_zero() { BigInt::zero() } else { &m - &r }; + + check(&b, &e, &m, &r); + check(&-&b, &e, &m, &neg_r); + check(&b, &e, &-&m, &-neg_r); + check(&-b, &e, &-m, &-r); + } + + #[test] + fn test_modpow() { + check_modpow(1, 0, 11, 1); + check_modpow(0, 15, 11, 0); + check_modpow(3, 7, 11, 9); + check_modpow(5, 117, 19, 1); + } + + #[test] + fn test_modpow_big() { + let b = BigInt::from_str_radix(super::BIG_B, 16).unwrap(); + let e = BigInt::from_str_radix(super::BIG_E, 16).unwrap(); + let m = BigInt::from_str_radix(super::BIG_M, 16).unwrap(); + let r = BigInt::from_str_radix(super::BIG_R, 16).unwrap(); + + check_modpow(b, e, m, r); + } +} |