Use Preconditions: Postconditions:, rather than /\ and ->

1 files changed, 38 insertions, 14 deletions

diff --git a/p448_solinas_64.c b/p448_solinas_64.c
index 16dbbfe89..6e5c8066b 100644
--- a/p448_solinas_64.c
+++ b/p448_solinas_64.c
@@ -18,8 +18,10 @@ typedef unsigned __int128 fiat_p448_uint128;
 
 /*
  * The function fiat_p448_addcarryx_u56 is an addition with carry.
- * out1 = (arg1 + arg2 + arg3) mod 2^56
- * ∧ out2 = ⌊(arg1 + arg2 + arg3) / 2^56⌋
+ * Postconditions:
+ *   out1 = (arg1 + arg2 + arg3) mod 2^56
+ *   out2 = ⌊(arg1 + arg2 + arg3) / 2^56⌋
+ *
  * Input Bounds:
  *   arg1: [0x0 ~> 0x1]
  *   arg2: [0x0 ~> 0xffffffffffffff]
@@ -38,8 +40,10 @@ static void fiat_p448_addcarryx_u56(uint64_t* out1, fiat_p448_uint1* out2, fiat_
 
 /*
  * The function fiat_p448_subborrowx_u56 is a subtraction with borrow.
- * out1 = (-arg1 + arg2 + -arg3) mod 2^56
- * ∧ out2 = -⌊(-arg1 + arg2 + -arg3) / 2^56⌋
+ * Postconditions:
+ *   out1 = (-arg1 + arg2 + -arg3) mod 2^56
+ *   out2 = -⌊(-arg1 + arg2 + -arg3) / 2^56⌋
+ *
  * Input Bounds:
  *   arg1: [0x0 ~> 0x1]
  *   arg2: [0x0 ~> 0xffffffffffffff]
@@ -58,7 +62,9 @@ static void fiat_p448_subborrowx_u56(uint64_t* out1, fiat_p448_uint1* out2, fiat
 
 /*
  * The function fiat_p448_cmovznz_u64 is a single-word conditional move.
- * out1 = (if arg1 = 0 then arg2 else arg3)
+ * Postconditions:
+ *   out1 = (if arg1 = 0 then arg2 else arg3)
+ *
  * Input Bounds:
  *   arg1: [0x0 ~> 0x1]
  *   arg2: [0x0 ~> 0xffffffffffffffff]
@@ -75,7 +81,9 @@ static void fiat_p448_cmovznz_u64(uint64_t* out1, fiat_p448_uint1 arg1, uint64_t
 
 /*
  * The function fiat_p448_carry_mul multiplies two field elements and reduces the result.
- * eval out1 mod m = (eval arg1 * eval arg2) mod m
+ * Postconditions:
+ *   eval out1 mod m = (eval arg1 * eval arg2) mod m
+ *
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb]]
  *   arg2: [[0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb]]
@@ -239,7 +247,9 @@ static void fiat_p448_carry_mul(uint64_t out1[8], const uint64_t arg1[8], const
 
 /*
  * The function fiat_p448_carry_square squares a field element and reduces the result.
- * eval out1 mod m = (eval arg1 * eval arg1) mod m
+ * Postconditions:
+ *   eval out1 mod m = (eval arg1 * eval arg1) mod m
+ *
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb]]
  * Output Bounds:
@@ -381,7 +391,9 @@ static void fiat_p448_carry_square(uint64_t out1[8], const uint64_t arg1[8]) {
 
 /*
  * The function fiat_p448_carry reduces a field element.
- * eval out1 mod m = eval arg1 mod m
+ * Postconditions:
+ *   eval out1 mod m = eval arg1 mod m
+ *
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb], [0x0 ~> 0x34ccccccccccccb]]
  * Output Bounds:
@@ -422,7 +434,9 @@ static void fiat_p448_carry(uint64_t out1[8], const uint64_t arg1[8]) {
 
 /*
  * The function fiat_p448_add adds two field elements.
- * eval out1 mod m = (eval arg1 + eval arg2) mod m
+ * Postconditions:
+ *   eval out1 mod m = (eval arg1 + eval arg2) mod m
+ *
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999]]
  *   arg2: [[0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999]]
@@ -450,7 +464,9 @@ static void fiat_p448_add(uint64_t out1[8], const uint64_t arg1[8], const uint64
 
 /*
  * The function fiat_p448_sub subtracts two field elements.
- * eval out1 mod m = (eval arg1 - eval arg2) mod m
+ * Postconditions:
+ *   eval out1 mod m = (eval arg1 - eval arg2) mod m
+ *
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999]]
  *   arg2: [[0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999]]
@@ -478,7 +494,9 @@ static void fiat_p448_sub(uint64_t out1[8], const uint64_t arg1[8], const uint64
 
 /*
  * The function fiat_p448_opp negates a field element.
- * eval out1 mod m = -eval arg1 mod m
+ * Postconditions:
+ *   eval out1 mod m = -eval arg1 mod m
+ *
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999]]
  * Output Bounds:
@@ -505,7 +523,9 @@ static void fiat_p448_opp(uint64_t out1[8], const uint64_t arg1[8]) {
 
 /*
  * The function fiat_p448_selectznz is a multi-limb conditional select.
- * eval out1 = (if arg1 = 0 then eval arg2 else eval arg3)
+ * Postconditions:
+ *   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], [0x0 ~> 0xffffffffffffffff]]
@@ -542,7 +562,9 @@ static void fiat_p448_selectznz(uint64_t out1[8], fiat_p448_uint1 arg1, const ui
 
 /*
  * The function fiat_p448_to_bytes serializes a field element to bytes in little-endian order.
- * out1 = map (λ x, ⌊(eval arg1 mod m) mod 2^(8 * (x + 1)) / 2^(8 * x)⌋) [0..55]
+ * Postconditions:
+ *   out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..55]
+ *
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999], [0x0 ~> 0x119999999999999]]
  * Output Bounds:
@@ -762,7 +784,9 @@ static void fiat_p448_to_bytes(uint8_t out1[56], const uint64_t arg1[8]) {
 
 /*
  * The function fiat_p448_from_bytes deserializes a field element from bytes in little-endian order.
- * eval out1 mod m = bytes_eval arg1 mod m
+ * Postconditions:
+ *   eval out1 mod m = bytes_eval arg1 mod 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 ~> 0xff], [0x0 ~> 0xff]]
  * Output Bounds: