Add autogenerated docstrings to synthesized code

We now stringify the correctness conditions to generate docstrings for
the synthesized code.

Closes #512

Time commitment: about 6 hours

1 files changed, 32 insertions, 0 deletions

diff --git a/p521_32.c b/p521_32.c
index 6bc3ae0b4..3998e1016 100644
--- a/p521_32.c
+++ b/p521_32.c
@@ -17,6 +17,9 @@ typedef unsigned __int128 fiat_p521_uint128;
 
 
 /*
+ * The function fiat_p521_addcarryx_u30 is an add with carry.
+ * out1 = (arg1 + arg2 + arg3) mod 2^30
+ * ∧ out2 = ⌊(arg1 + arg2 + arg3) / 2^30⌋
  * Input Bounds:
  *   arg1: [0x0 ~> 0x1]
  *   arg2: [0x0 ~> 0x3fffffff]
@@ -34,6 +37,9 @@ static void fiat_p521_addcarryx_u30(uint32_t* out1, fiat_p521_uint1* out2, fiat_
 }
 
 /*
+ * The function fiat_p521_subborrowx_u30 is a sub with borrow.
+ * out1 = (-arg1 + arg2 + -arg3) mod 2^30
+ * ∧ out2 = -⌊(-arg1 + arg2 + -arg3) / 2^30⌋
  * Input Bounds:
  *   arg1: [0x0 ~> 0x1]
  *   arg2: [0x0 ~> 0x3fffffff]
@@ -51,6 +57,9 @@ static void fiat_p521_subborrowx_u30(uint32_t* out1, fiat_p521_uint1* out2, fiat
 }
 
 /*
+ * The function fiat_p521_addcarryx_u31 is an add with carry.
+ * out1 = (arg1 + arg2 + arg3) mod 2^31
+ * ∧ out2 = ⌊(arg1 + arg2 + arg3) / 2^31⌋
  * Input Bounds:
  *   arg1: [0x0 ~> 0x1]
  *   arg2: [0x0 ~> 0x7fffffff]
@@ -68,6 +77,9 @@ static void fiat_p521_addcarryx_u31(uint32_t* out1, fiat_p521_uint1* out2, fiat_
 }
 
 /*
+ * The function fiat_p521_subborrowx_u31 is a sub with borrow.
+ * out1 = (-arg1 + arg2 + -arg3) mod 2^31
+ * ∧ out2 = -⌊(-arg1 + arg2 + -arg3) / 2^31⌋
  * Input Bounds:
  *   arg1: [0x0 ~> 0x1]
  *   arg2: [0x0 ~> 0x7fffffff]
@@ -85,6 +97,8 @@ static void fiat_p521_subborrowx_u31(uint32_t* out1, fiat_p521_uint1* out2, fiat
 }
 
 /*
+ * The function fiat_p521_cmovznz_u32 is a single-word conditional move.
+ * out1 = (if arg1 = 0 then arg2 else arg3)
  * Input Bounds:
  *   arg1: [0x0 ~> 0x1]
  *   arg2: [0x0 ~> 0xffffffff]
@@ -100,6 +114,8 @@ static void fiat_p521_cmovznz_u32(uint32_t* out1, fiat_p521_uint1 arg1, uint32_t
 }
 
 /*
+ * The function fiat_p521_carry_mul does stuff.
+ * eval out1 mod m = (eval arg1 * eval arg2) mod m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332]]
  *   arg2: [[0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332]]
@@ -490,6 +506,8 @@ static void fiat_p521_carry_mul(uint32_t out1[17], const uint64_t arg1[17], cons
 }
 
 /*
+ * The function fiat_p521_carry_square does stuff.
+ * eval out1 mod m = (eval arg1 * eval arg1) mod m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332]]
  * Output Bounds:
@@ -775,6 +793,8 @@ static void fiat_p521_carry_square(uint32_t out1[17], const uint64_t arg1[17]) {
 }
 
 /*
+ * The function fiat_p521_carry does stuff.
+ * eval out1 mod m = eval arg1 mod m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332], [0x0 ~> 0x1a6666664], [0x0 ~> 0xd3333332]]
  * Output Bounds:
@@ -837,6 +857,8 @@ static void fiat_p521_carry(uint32_t out1[17], const uint64_t arg1[17]) {
 }
 
 /*
+ * The function fiat_p521_add does stuff.
+ * eval out1 mod m = (eval arg1 + eval arg2) mod m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666]]
  *   arg2: [[0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666]]
@@ -881,6 +903,8 @@ static void fiat_p521_add(uint64_t out1[17], const uint32_t arg1[17], const uint
 }
 
 /*
+ * The function fiat_p521_sub does stuff.
+ * eval out1 mod m = (eval arg1 - eval arg2) mod m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666]]
  *   arg2: [[0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666]]
@@ -925,6 +949,8 @@ static void fiat_p521_sub(uint64_t out1[17], const uint32_t arg1[17], const uint
 }
 
 /*
+ * The function fiat_p521_opp does stuff.
+ * eval out1 mod m = -eval arg1 mod m
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666]]
  * Output Bounds:
@@ -968,6 +994,8 @@ static void fiat_p521_opp(uint32_t out1[17], const uint32_t arg1[17]) {
 }
 
 /*
+ * The function fiat_p521_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 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
@@ -1030,6 +1058,8 @@ static void fiat_p521_selectznz(uint32_t out1[17], fiat_p521_uint1 arg1, const u
 }
 
 /*
+ * The function fiat_p521_to_bytes does stuff.
+ * out1 = map (λ x, ⌊(eval arg1 mod m) mod 2^(8 * (x + 1)) / 2^(8 * x)⌋) [0..65]
  * Input Bounds:
  *   arg1: [[0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666], [0x0 ~> 0x8ccccccc], [0x0 ~> 0x46666666]]
  * Output Bounds:
@@ -1365,6 +1395,8 @@ static void fiat_p521_to_bytes(uint8_t out1[66], const uint32_t arg1[17]) {
 }
 
 /*
+ * The function fiat_p521_from_bytes does stuff.
+ * 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], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x1]]
  * Output Bounds: