diff options
Diffstat (limited to 'p484_64.c')
| -rw-r--r-- | p484_64.c | 57 |
1 files changed, 57 insertions, 0 deletions
@@ -19,6 +19,9 @@ typedef unsigned __int128 fiat_p484_uint128; /* + * The function fiat_p484_addcarryx_u64 is an add with carry. + * out1 = (arg1 + arg2 + arg3) mod 2^64 + * ∧ out2 = ⌊(arg1 + arg2 + arg3) / 2^64⌋ * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffffffffffff] @@ -36,6 +39,9 @@ static void fiat_p484_addcarryx_u64(uint64_t* out1, fiat_p484_uint1* out2, fiat_ } /* + * The function fiat_p484_subborrowx_u64 is a sub with borrow. + * out1 = (-arg1 + arg2 + -arg3) mod 2^64 + * ∧ out2 = -⌊(-arg1 + arg2 + -arg3) / 2^64⌋ * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffffffffffff] @@ -53,6 +59,9 @@ static void fiat_p484_subborrowx_u64(uint64_t* out1, fiat_p484_uint1* out2, fiat } /* + * The function fiat_p484_mulx_u64 is an extended multiplication. + * out1 = (arg1 * arg2) mod 2^64 + * ∧ out2 = ⌊arg1 * arg2 / 2^64⌋ * Input Bounds: * arg1: [0x0 ~> 0xffffffffffffffff] * arg2: [0x0 ~> 0xffffffffffffffff] @@ -69,6 +78,8 @@ static void fiat_p484_mulx_u64(uint64_t* out1, uint64_t* out2, uint64_t arg1, ui } /* + * The function fiat_p484_cmovznz_u64 is a single-word conditional move. + * out1 = (if arg1 = 0 then arg2 else arg3) * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffffffffffff] @@ -84,6 +95,12 @@ static void fiat_p484_cmovznz_u64(uint64_t* out1, fiat_p484_uint1 arg1, uint64_t } /* + * The function fiat_p484_mul does stuff. + * arg1 = map (λ x, ⌊eval arg1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] ∧ 0 ≤ eval arg1 < m → + * arg2 = map (λ x, ⌊eval arg2 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] ∧ 0 ≤ eval arg2 < m → + * eval (fiat_p484_from_montgomery out1) mod m = (eval (fiat_p484_from_montgomery arg1) * eval (fiat_p484_from_montgomery arg2)) mod m + * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] + * ∧ 0 ≤ eval out1 < m * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] @@ -1067,6 +1084,11 @@ static void fiat_p484_mul(uint64_t out1[7], const uint64_t arg1[7], const uint64 } /* + * The function fiat_p484_square does stuff. + * arg1 = map (λ x, ⌊eval arg1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] ∧ 0 ≤ eval arg1 < m → + * eval (fiat_p484_from_montgomery out1) mod m = (eval (fiat_p484_from_montgomery arg1) * eval (fiat_p484_from_montgomery arg1)) mod m + * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] + * ∧ 0 ≤ eval out1 < m * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: @@ -2049,6 +2071,12 @@ static void fiat_p484_square(uint64_t out1[7], const uint64_t arg1[7]) { } /* + * The function fiat_p484_add does stuff. + * arg1 = map (λ x, ⌊eval arg1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] ∧ 0 ≤ eval arg1 < m → + * arg2 = map (λ x, ⌊eval arg2 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] ∧ 0 ≤ eval arg2 < m → + * eval (fiat_p484_from_montgomery out1) mod m = (eval (fiat_p484_from_montgomery arg1) + eval (fiat_p484_from_montgomery arg2)) mod m + * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] + * ∧ 0 ≤ eval out1 < m * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] @@ -2125,6 +2153,12 @@ static void fiat_p484_add(uint64_t out1[7], const uint64_t arg1[7], const uint64 } /* + * The function fiat_p484_sub does stuff. + * arg1 = map (λ x, ⌊eval arg1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] ∧ 0 ≤ eval arg1 < m → + * arg2 = map (λ x, ⌊eval arg2 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] ∧ 0 ≤ eval arg2 < m → + * eval (fiat_p484_from_montgomery out1) mod m = (eval (fiat_p484_from_montgomery arg1) - eval (fiat_p484_from_montgomery arg2)) mod m + * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] + * ∧ 0 ≤ eval out1 < m * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] @@ -2186,6 +2220,11 @@ static void fiat_p484_sub(uint64_t out1[7], const uint64_t arg1[7], const uint64 } /* + * The function fiat_p484_opp does stuff. + * arg1 = map (λ x, ⌊eval arg1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] ∧ 0 ≤ eval arg1 < m → + * eval (fiat_p484_from_montgomery out1) mod m = -eval (fiat_p484_from_montgomery arg1) mod m + * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] + * ∧ 0 ≤ eval out1 < m * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: @@ -2246,6 +2285,11 @@ static void fiat_p484_opp(uint64_t out1[7], const uint64_t arg1[7]) { } /* + * The function fiat_p484_from_montgomery does stuff. + * arg1 = map (λ x, ⌊eval arg1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] ∧ 0 ≤ eval arg1 < m → + * eval out1 mod m = (eval arg1 * 1324863811396206510028543369708678912454650048974215908631025180695212704414528066624039943565284982500305666048^7) mod m + * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] + * ∧ 0 ≤ eval out1 < m * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: @@ -2889,6 +2933,9 @@ static void fiat_p484_from_montgomery(uint64_t out1[7], const uint64_t arg1[7]) } /* + * The function fiat_p484_nonzero does stuff. + * arg1 = map (λ x, ⌊eval arg1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] ∧ 0 ≤ eval arg1 < m → + * out1 = 0 ↔ eval (fiat_p484_from_montgomery arg1) mod m = 0 * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: @@ -2900,6 +2947,8 @@ static void fiat_p484_nonzero(uint64_t* out1, const uint64_t arg1[7]) { } /* + * The function fiat_p484_selectznz is a multi-limb conditional select. + * eval out1 = (if arg1 = 0 then eval arg2 else eval arg3) * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] @@ -2932,6 +2981,9 @@ static void fiat_p484_selectznz(uint64_t out1[7], fiat_p484_uint1 arg1, const ui } /* + * The function fiat_p484_to_bytes does stuff. + * arg1 = map (λ x, ⌊eval arg1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] ∧ 0 ≤ eval arg1 < m → + * out1 = map (λ x, ⌊(eval arg1 mod m) mod 2^(8 * (x + 1)) / 2^(8 * x)⌋) [0..55] * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0x3ffffffffffff]] * Output Bounds: @@ -3107,6 +3159,11 @@ static void fiat_p484_to_bytes(uint8_t out1[56], const uint64_t arg1[7]) { } /* + * The function fiat_p484_from_bytes does stuff. + * arg1 = map (λ x, ⌊bytes_eval arg1 mod 2^(8 * (x + 1)) / 2^(8 * x)⌋) [0..55] ∧ 0 ≤ bytes_eval arg1 < m → + * eval out1 mod m = bytes_eval arg1 mod m + * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(64 * (x + 1)) / 2^(64 * x)⌋) [0..6] + * ∧ 0 ≤ eval out1 < m * Input Bounds: * arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x3], [0x0 ~> 0x0]] * Output Bounds: |