Drop `map λ` bits in docstrings

They are redundant with the bounds pre- and post-conditions in WBW
montgomery.

Also drop the fiat_p... prefix from the `from_montgomery` bits in most
of the docstrings, under the assumption that shorter strings with less
repetition are more readable.

1 files changed, 18 insertions, 25 deletions

diff --git a/p384_32.c b/p384_32.c
index 90ad22621..f01dc08b2 100644
--- a/p384_32.c
+++ b/p384_32.c
@@ -94,10 +94,9 @@ static void fiat_p384_cmovznz_u32(uint32_t* out1, fiat_p384_uint1 arg1, uint32_t
 
 /*
  * The function fiat_p384_mul multiplies two field elements in the Montgomery domain.
- * arg1 = map (λ x, ⌊eval arg1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11] ∧ 0 ≤ eval arg1 < m →
- * arg2 = map (λ x, ⌊eval arg2 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11] ∧ 0 ≤ eval arg2 < m →
- * eval (fiat_p384_from_montgomery out1) mod m = (eval (fiat_p384_from_montgomery arg1) * eval (fiat_p384_from_montgomery arg2)) mod m
- * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11]
+ * 0 ≤ eval arg1 < m →
+ * 0 ≤ eval arg2 < m →
+ * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
  * ∧ 0 ≤ eval out1 < m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
@@ -2678,9 +2677,8 @@ static void fiat_p384_mul(uint32_t out1[12], const uint32_t arg1[12], const uint
 
 /*
  * The function fiat_p384_square squares a field element in the Montgomery domain.
- * arg1 = map (λ x, ⌊eval arg1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11] ∧ 0 ≤ eval arg1 < m →
- * eval (fiat_p384_from_montgomery out1) mod m = (eval (fiat_p384_from_montgomery arg1) * eval (fiat_p384_from_montgomery arg1)) mod m
- * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11]
+ * 0 ≤ eval arg1 < m →
+ * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
  * ∧ 0 ≤ eval out1 < m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
@@ -5260,10 +5258,9 @@ static void fiat_p384_square(uint32_t out1[12], const uint32_t arg1[12]) {
 
 /*
  * The function fiat_p384_add adds two field elements in the Montgomery domain.
- * arg1 = map (λ x, ⌊eval arg1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11] ∧ 0 ≤ eval arg1 < m →
- * arg2 = map (λ x, ⌊eval arg2 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11] ∧ 0 ≤ eval arg2 < m →
- * eval (fiat_p384_from_montgomery out1) mod m = (eval (fiat_p384_from_montgomery arg1) + eval (fiat_p384_from_montgomery arg2)) mod m
- * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11]
+ * 0 ≤ eval arg1 < m →
+ * 0 ≤ eval arg2 < m →
+ * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
  * ∧ 0 ≤ eval out1 < m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
@@ -5387,10 +5384,9 @@ static void fiat_p384_add(uint32_t out1[12], const uint32_t arg1[12], const uint
 
 /*
  * The function fiat_p384_sub subtracts two field elements in the Montgomery domain.
- * arg1 = map (λ x, ⌊eval arg1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11] ∧ 0 ≤ eval arg1 < m →
- * arg2 = map (λ x, ⌊eval arg2 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11] ∧ 0 ≤ eval arg2 < m →
- * eval (fiat_p384_from_montgomery out1) mod m = (eval (fiat_p384_from_montgomery arg1) - eval (fiat_p384_from_montgomery arg2)) mod m
- * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11]
+ * 0 ≤ eval arg1 < m →
+ * 0 ≤ eval arg2 < m →
+ * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
  * ∧ 0 ≤ eval out1 < m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
@@ -5489,9 +5485,8 @@ static void fiat_p384_sub(uint32_t out1[12], const uint32_t arg1[12], const uint
 
 /*
  * The function fiat_p384_opp negates a field element in the Montgomery domain.
- * arg1 = map (λ x, ⌊eval arg1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11] ∧ 0 ≤ eval arg1 < m →
- * eval (fiat_p384_from_montgomery out1) mod m = -eval (fiat_p384_from_montgomery arg1) mod m
- * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11]
+ * 0 ≤ eval arg1 < m →
+ * eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m
  * ∧ 0 ≤ eval out1 < m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
@@ -5589,9 +5584,8 @@ static void fiat_p384_opp(uint32_t out1[12], const uint32_t arg1[12]) {
 
 /*
  * The function fiat_p384_from_montgomery translates a field element out of the Montgomery domain.
- * arg1 = map (λ x, ⌊eval arg1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11] ∧ 0 ≤ eval arg1 < m →
+ * 0 ≤ eval arg1 < m →
  * eval out1 mod m = (eval arg1 * ((2^32)⁻¹ mod m)^12) mod m
- * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11]
  * ∧ 0 ≤ eval out1 < m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
@@ -7227,8 +7221,8 @@ static void fiat_p384_from_montgomery(uint32_t out1[12], const uint32_t arg1[12]
 
 /*
  * The function fiat_p384_nonzero outputs a single non-zero word if the input is non-zero and zero otherwise.
- * arg1 = map (λ x, ⌊eval arg1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11] ∧ 0 ≤ eval arg1 < m →
- * out1 = 0 ↔ eval (fiat_p384_from_montgomery arg1) mod m = 0
+ * 0 ≤ eval arg1 < m →
+ * out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0
  * Input Bounds:
  *   arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
  * Output Bounds:
@@ -7290,7 +7284,7 @@ static void fiat_p384_selectznz(uint32_t out1[12], fiat_p384_uint1 arg1, const u
 
 /*
  * The function fiat_p384_to_bytes serializes a field element in the Montgomery domain to bytes in little-endian order.
- * arg1 = map (λ x, ⌊eval arg1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11] ∧ 0 ≤ eval arg1 < m →
+ * 0 ≤ eval arg1 < m →
  * out1 = map (λ x, ⌊(eval arg1 mod m) mod 2^(8 * (x + 1)) / 2^(8 * x)⌋) [0..47]
  * Input Bounds:
  *   arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
@@ -7445,9 +7439,8 @@ static void fiat_p384_to_bytes(uint8_t out1[48], const uint32_t arg1[12]) {
 
 /*
  * The function fiat_p384_from_bytes deserializes a field element in the Montgomery domain from bytes in little-endian order.
- * arg1 = map (λ x, ⌊bytes_eval arg1 mod 2^(8 * (x + 1)) / 2^(8 * x)⌋) [0..47] ∧ 0 ≤ bytes_eval arg1 < m →
+ * 0 ≤ bytes_eval arg1 < m →
  * eval out1 mod m = bytes_eval arg1 mod m
- * ∧ out1 = map (λ x, ⌊eval out1 mod 2^(32 * (x + 1)) / 2^(32 * x)⌋) [0..11]
  * ∧ 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]]