Generate 64-bit Curve25519 and P256 code for MSVC

Change-Id: I2218807c6bfe445460a01f6c86712640915e87df
Reviewed-on: https://boringssl-review.googlesource.com/c/boringssl/+/57666
Reviewed-by: David Benjamin <davidben@google.com>
Commit-Queue: David Benjamin <davidben@google.com>

2 files changed, 3283 insertions, 0 deletions

diff --git a/third_party/fiat/curve25519_64_msvc.h b/third_party/fiat/curve25519_64_msvc.h
new file mode 100644
index 0000000..d20ec85
--- /dev/null
+++ b/third_party/fiat/curve25519_64_msvc.h
@@ -0,0 +1,1281 @@
+/* Autogenerated: 'src/ExtractionOCaml/unsaturated_solinas' --inline --static --use-value-barrier --no-wide-int 25519 64 '(auto)' '2^255 - 19' carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes relax carry_scmul121666 */
+/* curve description: 25519 */
+/* machine_wordsize = 64 (from "64") */
+/* requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, relax, carry_scmul121666 */
+/* n = 5 (from "(auto)") */
+/* s-c = 2^255 - [(1, 19)] (from "2^255 - 19") */
+/* tight_bounds_multiplier = 1 (from "") */
+/*  */
+/* Computed values: */
+/*   carry_chain = [0, 1, 2, 3, 4, 0, 1] */
+/*   eval z = z[0] + (z[1] << 51) + (z[2] << 102) + (z[3] << 153) + (z[4] << 204) */
+/*   bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) */
+/*   balance = [0xfffffffffffda, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe] */
+
+#include <stdint.h>
+#include <intrin.h>
+#if defined(_M_X64)
+#include <immintrin.h>
+#endif
+
+typedef unsigned char fiat_25519_uint1;
+typedef signed char fiat_25519_int1;
+
+#define FIAT_25519_FIAT_INLINE inline
+
+/* The type fiat_25519_loose_field_element is a field element with loose bounds. */
+/* Bounds: [[0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] */
+typedef uint64_t fiat_25519_loose_field_element[5];
+
+/* The type fiat_25519_tight_field_element is a field element with tight bounds. */
+/* Bounds: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] */
+typedef uint64_t fiat_25519_tight_field_element[5];
+
+#if (-1 & 3) != 3
+#error "This code only works on a two's complement system"
+#endif
+
+#define fiat_25519_value_barrier_u64(x) (x)
+
+/*
+ * The function fiat_25519_addcarryx_u64 is an addition with carry.
+ *
+ * Postconditions:
+ *   out1 = (arg1 + arg2 + arg3) mod 2^64
+ *   out2 = ⌊(arg1 + arg2 + arg3) / 2^64⌋
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0x1]
+ *   arg2: [0x0 ~> 0xffffffffffffffff]
+ *   arg3: [0x0 ~> 0xffffffffffffffff]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0xffffffffffffffff]
+ *   out2: [0x0 ~> 0x1]
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_addcarryx_u64(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) {
+// NOTE: edited after generation
+#if defined(_M_X64)
+  *out2 = _addcarry_u64(arg1, arg2, arg3, out1);
+#else
+  arg2 += arg1;
+  arg1 = arg2 < arg1;
+  arg3 += arg2;
+  arg1 += arg3 < arg2;
+  *out1 = arg3;
+  *out2 = arg1;
+#endif
+}
+
+/*
+ * The function fiat_25519_subborrowx_u64 is a subtraction with borrow.
+ *
+ * Postconditions:
+ *   out1 = (-arg1 + arg2 + -arg3) mod 2^64
+ *   out2 = -⌊(-arg1 + arg2 + -arg3) / 2^64⌋
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0x1]
+ *   arg2: [0x0 ~> 0xffffffffffffffff]
+ *   arg3: [0x0 ~> 0xffffffffffffffff]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0xffffffffffffffff]
+ *   out2: [0x0 ~> 0x1]
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_subborrowx_u64(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) {
+#if defined(_M_X64)
+  *out2 = _subborrow_u64(arg1, arg2, arg3, out1); // NOTE: edited after generation
+#else
+  *out1 = arg2 - arg3 - arg1;
+  *out2 = (arg2 < arg3) | ((arg2 == arg3) & arg1);
+#endif
+}
+
+/*
+ * The function fiat_25519_addcarryx_u51 is an addition with carry.
+ *
+ * Postconditions:
+ *   out1 = (arg1 + arg2 + arg3) mod 2^51
+ *   out2 = ⌊(arg1 + arg2 + arg3) / 2^51⌋
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0x1]
+ *   arg2: [0x0 ~> 0x7ffffffffffff]
+ *   arg3: [0x0 ~> 0x7ffffffffffff]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0x7ffffffffffff]
+ *   out2: [0x0 ~> 0x1]
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_addcarryx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) {
+  uint64_t x1;
+  uint64_t x2;
+  fiat_25519_uint1 x3;
+  x1 = ((arg1 + arg2) + arg3);
+  x2 = (x1 & UINT64_C(0x7ffffffffffff));
+  x3 = (fiat_25519_uint1)(x1 >> 51);
+  *out1 = x2;
+  *out2 = x3;
+}
+
+/*
+ * The function fiat_25519_subborrowx_u51 is a subtraction with borrow.
+ *
+ * Postconditions:
+ *   out1 = (-arg1 + arg2 + -arg3) mod 2^51
+ *   out2 = -⌊(-arg1 + arg2 + -arg3) / 2^51⌋
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0x1]
+ *   arg2: [0x0 ~> 0x7ffffffffffff]
+ *   arg3: [0x0 ~> 0x7ffffffffffff]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0x7ffffffffffff]
+ *   out2: [0x0 ~> 0x1]
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_subborrowx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) {
+  int64_t x1;
+  fiat_25519_int1 x2;
+  uint64_t x3;
+  x1 = ((int64_t)(arg2 - (int64_t)arg1) - (int64_t)arg3);
+  x2 = (fiat_25519_int1)(x1 >> 51);
+  x3 = (x1 & UINT64_C(0x7ffffffffffff));
+  *out1 = x3;
+  *out2 = (fiat_25519_uint1)(0x0 - x2);
+}
+
+/*
+ * The function fiat_25519_mulx_u64 is a multiplication, returning the full double-width result.
+ *
+ * Postconditions:
+ *   out1 = (arg1 * arg2) mod 2^64
+ *   out2 = ⌊arg1 * arg2 / 2^64⌋
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0xffffffffffffffff]
+ *   arg2: [0x0 ~> 0xffffffffffffffff]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0xffffffffffffffff]
+ *   out2: [0x0 ~> 0xffffffffffffffff]
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_mulx_u64(uint64_t* out1, uint64_t* out2, uint64_t arg1, uint64_t arg2) {
+// NOTE: edited after generation
+#if defined(_M_X64)
+  *out1 = _umul128(arg1, arg2, out2);
+#elif defined(_M_ARM64)
+  *out1 = arg1 * arg2;
+  *out2 = __umulh(arg1, arg2);
+#else
+#error "This file is intended for MSVC on X64 or ARM64"
+#endif
+}
+
+/*
+ * The function fiat_25519_cmovznz_u64 is a single-word conditional move.
+ *
+ * Postconditions:
+ *   out1 = (if arg1 = 0 then arg2 else arg3)
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0x1]
+ *   arg2: [0x0 ~> 0xffffffffffffffff]
+ *   arg3: [0x0 ~> 0xffffffffffffffff]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0xffffffffffffffff]
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_cmovznz_u64(uint64_t* out1, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) {
+  fiat_25519_uint1 x1;
+  uint64_t x2;
+  uint64_t x3;
+  x1 = (!(!arg1));
+  x2 = ((fiat_25519_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff));
+  x3 = ((fiat_25519_value_barrier_u64(x2) & arg3) | (fiat_25519_value_barrier_u64((~x2)) & arg2));
+  *out1 = x3;
+}
+
+/*
+ * The function fiat_25519_carry_mul multiplies two field elements and reduces the result.
+ *
+ * Postconditions:
+ *   eval out1 mod m = (eval arg1 * eval arg2) mod m
+ *
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_carry_mul(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1, const fiat_25519_loose_field_element arg2) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  uint64_t x6;
+  uint64_t x7;
+  uint64_t x8;
+  uint64_t x9;
+  uint64_t x10;
+  uint64_t x11;
+  uint64_t x12;
+  uint64_t x13;
+  uint64_t x14;
+  uint64_t x15;
+  uint64_t x16;
+  uint64_t x17;
+  uint64_t x18;
+  uint64_t x19;
+  uint64_t x20;
+  uint64_t x21;
+  uint64_t x22;
+  uint64_t x23;
+  uint64_t x24;
+  uint64_t x25;
+  uint64_t x26;
+  uint64_t x27;
+  uint64_t x28;
+  uint64_t x29;
+  uint64_t x30;
+  uint64_t x31;
+  uint64_t x32;
+  uint64_t x33;
+  uint64_t x34;
+  uint64_t x35;
+  uint64_t x36;
+  uint64_t x37;
+  uint64_t x38;
+  uint64_t x39;
+  uint64_t x40;
+  uint64_t x41;
+  uint64_t x42;
+  uint64_t x43;
+  uint64_t x44;
+  uint64_t x45;
+  uint64_t x46;
+  uint64_t x47;
+  uint64_t x48;
+  uint64_t x49;
+  uint64_t x50;
+  uint64_t x51;
+  fiat_25519_uint1 x52;
+  uint64_t x53;
+  fiat_25519_uint1 x54;
+  uint64_t x55;
+  fiat_25519_uint1 x56;
+  uint64_t x57;
+  fiat_25519_uint1 x58;
+  uint64_t x59;
+  fiat_25519_uint1 x60;
+  uint64_t x61;
+  fiat_25519_uint1 x62;
+  uint64_t x63;
+  fiat_25519_uint1 x64;
+  uint64_t x65;
+  fiat_25519_uint1 x66;
+  uint64_t x67;
+  uint64_t x68;
+  uint64_t x69;
+  fiat_25519_uint1 x70;
+  uint64_t x71;
+  fiat_25519_uint1 x72;
+  uint64_t x73;
+  fiat_25519_uint1 x74;
+  uint64_t x75;
+  fiat_25519_uint1 x76;
+  uint64_t x77;
+  fiat_25519_uint1 x78;
+  uint64_t x79;
+  fiat_25519_uint1 x80;
+  uint64_t x81;
+  fiat_25519_uint1 x82;
+  uint64_t x83;
+  fiat_25519_uint1 x84;
+  uint64_t x85;
+  fiat_25519_uint1 x86;
+  uint64_t x87;
+  fiat_25519_uint1 x88;
+  uint64_t x89;
+  fiat_25519_uint1 x90;
+  uint64_t x91;
+  fiat_25519_uint1 x92;
+  uint64_t x93;
+  fiat_25519_uint1 x94;
+  uint64_t x95;
+  fiat_25519_uint1 x96;
+  uint64_t x97;
+  fiat_25519_uint1 x98;
+  uint64_t x99;
+  fiat_25519_uint1 x100;
+  uint64_t x101;
+  fiat_25519_uint1 x102;
+  uint64_t x103;
+  fiat_25519_uint1 x104;
+  uint64_t x105;
+  fiat_25519_uint1 x106;
+  uint64_t x107;
+  fiat_25519_uint1 x108;
+  uint64_t x109;
+  fiat_25519_uint1 x110;
+  uint64_t x111;
+  fiat_25519_uint1 x112;
+  uint64_t x113;
+  fiat_25519_uint1 x114;
+  uint64_t x115;
+  fiat_25519_uint1 x116;
+  uint64_t x117;
+  fiat_25519_uint1 x118;
+  uint64_t x119;
+  fiat_25519_uint1 x120;
+  uint64_t x121;
+  fiat_25519_uint1 x122;
+  uint64_t x123;
+  fiat_25519_uint1 x124;
+  uint64_t x125;
+  fiat_25519_uint1 x126;
+  uint64_t x127;
+  fiat_25519_uint1 x128;
+  uint64_t x129;
+  fiat_25519_uint1 x130;
+  uint64_t x131;
+  fiat_25519_uint1 x132;
+  uint64_t x133;
+  fiat_25519_uint1 x134;
+  uint64_t x135;
+  uint64_t x136;
+  uint64_t x137;
+  uint64_t x138;
+  fiat_25519_uint1 x139;
+  uint64_t x140;
+  uint64_t x141;
+  uint64_t x142;
+  uint64_t x143;
+  fiat_25519_uint1 x144;
+  uint64_t x145;
+  uint64_t x146;
+  uint64_t x147;
+  uint64_t x148;
+  fiat_25519_uint1 x149;
+  uint64_t x150;
+  uint64_t x151;
+  uint64_t x152;
+  uint64_t x153;
+  uint64_t x154;
+  uint64_t x155;
+  uint64_t x156;
+  uint64_t x157;
+  fiat_25519_uint1 x158;
+  uint64_t x159;
+  uint64_t x160;
+  fiat_25519_mulx_u64(&x1, &x2, (arg1[4]), ((arg2[4]) * UINT8_C(0x13)));
+  fiat_25519_mulx_u64(&x3, &x4, (arg1[4]), ((arg2[3]) * UINT8_C(0x13)));
+  fiat_25519_mulx_u64(&x5, &x6, (arg1[4]), ((arg2[2]) * UINT8_C(0x13)));
+  fiat_25519_mulx_u64(&x7, &x8, (arg1[4]), ((arg2[1]) * UINT8_C(0x13)));
+  fiat_25519_mulx_u64(&x9, &x10, (arg1[3]), ((arg2[4]) * UINT8_C(0x13)));
+  fiat_25519_mulx_u64(&x11, &x12, (arg1[3]), ((arg2[3]) * UINT8_C(0x13)));
+  fiat_25519_mulx_u64(&x13, &x14, (arg1[3]), ((arg2[2]) * UINT8_C(0x13)));
+  fiat_25519_mulx_u64(&x15, &x16, (arg1[2]), ((arg2[4]) * UINT8_C(0x13)));
+  fiat_25519_mulx_u64(&x17, &x18, (arg1[2]), ((arg2[3]) * UINT8_C(0x13)));
+  fiat_25519_mulx_u64(&x19, &x20, (arg1[1]), ((arg2[4]) * UINT8_C(0x13)));
+  fiat_25519_mulx_u64(&x21, &x22, (arg1[4]), (arg2[0]));
+  fiat_25519_mulx_u64(&x23, &x24, (arg1[3]), (arg2[1]));
+  fiat_25519_mulx_u64(&x25, &x26, (arg1[3]), (arg2[0]));
+  fiat_25519_mulx_u64(&x27, &x28, (arg1[2]), (arg2[2]));
+  fiat_25519_mulx_u64(&x29, &x30, (arg1[2]), (arg2[1]));
+  fiat_25519_mulx_u64(&x31, &x32, (arg1[2]), (arg2[0]));
+  fiat_25519_mulx_u64(&x33, &x34, (arg1[1]), (arg2[3]));
+  fiat_25519_mulx_u64(&x35, &x36, (arg1[1]), (arg2[2]));
+  fiat_25519_mulx_u64(&x37, &x38, (arg1[1]), (arg2[1]));
+  fiat_25519_mulx_u64(&x39, &x40, (arg1[1]), (arg2[0]));
+  fiat_25519_mulx_u64(&x41, &x42, (arg1[0]), (arg2[4]));
+  fiat_25519_mulx_u64(&x43, &x44, (arg1[0]), (arg2[3]));
+  fiat_25519_mulx_u64(&x45, &x46, (arg1[0]), (arg2[2]));
+  fiat_25519_mulx_u64(&x47, &x48, (arg1[0]), (arg2[1]));
+  fiat_25519_mulx_u64(&x49, &x50, (arg1[0]), (arg2[0]));
+  fiat_25519_addcarryx_u64(&x51, &x52, 0x0, x13, x7);
+  fiat_25519_addcarryx_u64(&x53, &x54, x52, x14, x8);
+  fiat_25519_addcarryx_u64(&x55, &x56, 0x0, x17, x51);
+  fiat_25519_addcarryx_u64(&x57, &x58, x56, x18, x53);
+  fiat_25519_addcarryx_u64(&x59, &x60, 0x0, x19, x55);
+  fiat_25519_addcarryx_u64(&x61, &x62, x60, x20, x57);
+  fiat_25519_addcarryx_u64(&x63, &x64, 0x0, x49, x59);
+  fiat_25519_addcarryx_u64(&x65, &x66, x64, x50, x61);
+  x67 = ((x63 >> 51) | ((x65 << 13) & UINT64_C(0xffffffffffffffff)));
+  x68 = (x63 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x69, &x70, 0x0, x23, x21);
+  fiat_25519_addcarryx_u64(&x71, &x72, x70, x24, x22);
+  fiat_25519_addcarryx_u64(&x73, &x74, 0x0, x27, x69);
+  fiat_25519_addcarryx_u64(&x75, &x76, x74, x28, x71);
+  fiat_25519_addcarryx_u64(&x77, &x78, 0x0, x33, x73);
+  fiat_25519_addcarryx_u64(&x79, &x80, x78, x34, x75);
+  fiat_25519_addcarryx_u64(&x81, &x82, 0x0, x41, x77);
+  fiat_25519_addcarryx_u64(&x83, &x84, x82, x42, x79);
+  fiat_25519_addcarryx_u64(&x85, &x86, 0x0, x25, x1);
+  fiat_25519_addcarryx_u64(&x87, &x88, x86, x26, x2);
+  fiat_25519_addcarryx_u64(&x89, &x90, 0x0, x29, x85);
+  fiat_25519_addcarryx_u64(&x91, &x92, x90, x30, x87);
+  fiat_25519_addcarryx_u64(&x93, &x94, 0x0, x35, x89);
+  fiat_25519_addcarryx_u64(&x95, &x96, x94, x36, x91);
+  fiat_25519_addcarryx_u64(&x97, &x98, 0x0, x43, x93);
+  fiat_25519_addcarryx_u64(&x99, &x100, x98, x44, x95);
+  fiat_25519_addcarryx_u64(&x101, &x102, 0x0, x9, x3);
+  fiat_25519_addcarryx_u64(&x103, &x104, x102, x10, x4);
+  fiat_25519_addcarryx_u64(&x105, &x106, 0x0, x31, x101);
+  fiat_25519_addcarryx_u64(&x107, &x108, x106, x32, x103);
+  fiat_25519_addcarryx_u64(&x109, &x110, 0x0, x37, x105);
+  fiat_25519_addcarryx_u64(&x111, &x112, x110, x38, x107);
+  fiat_25519_addcarryx_u64(&x113, &x114, 0x0, x45, x109);
+  fiat_25519_addcarryx_u64(&x115, &x116, x114, x46, x111);
+  fiat_25519_addcarryx_u64(&x117, &x118, 0x0, x11, x5);
+  fiat_25519_addcarryx_u64(&x119, &x120, x118, x12, x6);
+  fiat_25519_addcarryx_u64(&x121, &x122, 0x0, x15, x117);
+  fiat_25519_addcarryx_u64(&x123, &x124, x122, x16, x119);
+  fiat_25519_addcarryx_u64(&x125, &x126, 0x0, x39, x121);
+  fiat_25519_addcarryx_u64(&x127, &x128, x126, x40, x123);
+  fiat_25519_addcarryx_u64(&x129, &x130, 0x0, x47, x125);
+  fiat_25519_addcarryx_u64(&x131, &x132, x130, x48, x127);
+  fiat_25519_addcarryx_u64(&x133, &x134, 0x0, x67, x129);
+  x135 = (x134 + x131);
+  x136 = ((x133 >> 51) | ((x135 << 13) & UINT64_C(0xffffffffffffffff)));
+  x137 = (x133 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x138, &x139, 0x0, x136, x113);
+  x140 = (x139 + x115);
+  x141 = ((x138 >> 51) | ((x140 << 13) & UINT64_C(0xffffffffffffffff)));
+  x142 = (x138 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x143, &x144, 0x0, x141, x97);
+  x145 = (x144 + x99);
+  x146 = ((x143 >> 51) | ((x145 << 13) & UINT64_C(0xffffffffffffffff)));
+  x147 = (x143 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x148, &x149, 0x0, x146, x81);
+  x150 = (x149 + x83);
+  x151 = ((x148 >> 51) | ((x150 << 13) & UINT64_C(0xffffffffffffffff)));
+  x152 = (x148 & UINT64_C(0x7ffffffffffff));
+  x153 = (x151 * UINT8_C(0x13));
+  x154 = (x68 + x153);
+  x155 = (x154 >> 51);
+  x156 = (x154 & UINT64_C(0x7ffffffffffff));
+  x157 = (x155 + x137);
+  x158 = (fiat_25519_uint1)(x157 >> 51);
+  x159 = (x157 & UINT64_C(0x7ffffffffffff));
+  x160 = (x158 + x142);
+  out1[0] = x156;
+  out1[1] = x159;
+  out1[2] = x160;
+  out1[3] = x147;
+  out1[4] = x152;
+}
+
+/*
+ * The function fiat_25519_carry_square squares a field element and reduces the result.
+ *
+ * Postconditions:
+ *   eval out1 mod m = (eval arg1 * eval arg1) mod m
+ *
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_carry_square(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  uint64_t x6;
+  uint64_t x7;
+  uint64_t x8;
+  uint64_t x9;
+  uint64_t x10;
+  uint64_t x11;
+  uint64_t x12;
+  uint64_t x13;
+  uint64_t x14;
+  uint64_t x15;
+  uint64_t x16;
+  uint64_t x17;
+  uint64_t x18;
+  uint64_t x19;
+  uint64_t x20;
+  uint64_t x21;
+  uint64_t x22;
+  uint64_t x23;
+  uint64_t x24;
+  uint64_t x25;
+  uint64_t x26;
+  uint64_t x27;
+  uint64_t x28;
+  uint64_t x29;
+  uint64_t x30;
+  uint64_t x31;
+  uint64_t x32;
+  uint64_t x33;
+  uint64_t x34;
+  uint64_t x35;
+  uint64_t x36;
+  uint64_t x37;
+  uint64_t x38;
+  uint64_t x39;
+  fiat_25519_uint1 x40;
+  uint64_t x41;
+  fiat_25519_uint1 x42;
+  uint64_t x43;
+  fiat_25519_uint1 x44;
+  uint64_t x45;
+  fiat_25519_uint1 x46;
+  uint64_t x47;
+  uint64_t x48;
+  uint64_t x49;
+  fiat_25519_uint1 x50;
+  uint64_t x51;
+  fiat_25519_uint1 x52;
+  uint64_t x53;
+  fiat_25519_uint1 x54;
+  uint64_t x55;
+  fiat_25519_uint1 x56;
+  uint64_t x57;
+  fiat_25519_uint1 x58;
+  uint64_t x59;
+  fiat_25519_uint1 x60;
+  uint64_t x61;
+  fiat_25519_uint1 x62;
+  uint64_t x63;
+  fiat_25519_uint1 x64;
+  uint64_t x65;
+  fiat_25519_uint1 x66;
+  uint64_t x67;
+  fiat_25519_uint1 x68;
+  uint64_t x69;
+  fiat_25519_uint1 x70;
+  uint64_t x71;
+  fiat_25519_uint1 x72;
+  uint64_t x73;
+  fiat_25519_uint1 x74;
+  uint64_t x75;
+  fiat_25519_uint1 x76;
+  uint64_t x77;
+  fiat_25519_uint1 x78;
+  uint64_t x79;
+  fiat_25519_uint1 x80;
+  uint64_t x81;
+  fiat_25519_uint1 x82;
+  uint64_t x83;
+  uint64_t x84;
+  uint64_t x85;
+  uint64_t x86;
+  fiat_25519_uint1 x87;
+  uint64_t x88;
+  uint64_t x89;
+  uint64_t x90;
+  uint64_t x91;
+  fiat_25519_uint1 x92;
+  uint64_t x93;
+  uint64_t x94;
+  uint64_t x95;
+  uint64_t x96;
+  fiat_25519_uint1 x97;
+  uint64_t x98;
+  uint64_t x99;
+  uint64_t x100;
+  uint64_t x101;
+  uint64_t x102;
+  uint64_t x103;
+  uint64_t x104;
+  uint64_t x105;
+  fiat_25519_uint1 x106;
+  uint64_t x107;
+  uint64_t x108;
+  x1 = ((arg1[4]) * UINT8_C(0x13));
+  x2 = (x1 * 0x2);
+  x3 = ((arg1[4]) * 0x2);
+  x4 = ((arg1[3]) * UINT8_C(0x13));
+  x5 = (x4 * 0x2);
+  x6 = ((arg1[3]) * 0x2);
+  x7 = ((arg1[2]) * 0x2);
+  x8 = ((arg1[1]) * 0x2);
+  fiat_25519_mulx_u64(&x9, &x10, (arg1[4]), x1);
+  fiat_25519_mulx_u64(&x11, &x12, (arg1[3]), x2);
+  fiat_25519_mulx_u64(&x13, &x14, (arg1[3]), x4);
+  fiat_25519_mulx_u64(&x15, &x16, (arg1[2]), x2);
+  fiat_25519_mulx_u64(&x17, &x18, (arg1[2]), x5);
+  fiat_25519_mulx_u64(&x19, &x20, (arg1[2]), (arg1[2]));
+  fiat_25519_mulx_u64(&x21, &x22, (arg1[1]), x2);
+  fiat_25519_mulx_u64(&x23, &x24, (arg1[1]), x6);
+  fiat_25519_mulx_u64(&x25, &x26, (arg1[1]), x7);
+  fiat_25519_mulx_u64(&x27, &x28, (arg1[1]), (arg1[1]));
+  fiat_25519_mulx_u64(&x29, &x30, (arg1[0]), x3);
+  fiat_25519_mulx_u64(&x31, &x32, (arg1[0]), x6);
+  fiat_25519_mulx_u64(&x33, &x34, (arg1[0]), x7);
+  fiat_25519_mulx_u64(&x35, &x36, (arg1[0]), x8);
+  fiat_25519_mulx_u64(&x37, &x38, (arg1[0]), (arg1[0]));
+  fiat_25519_addcarryx_u64(&x39, &x40, 0x0, x21, x17);
+  fiat_25519_addcarryx_u64(&x41, &x42, x40, x22, x18);
+  fiat_25519_addcarryx_u64(&x43, &x44, 0x0, x37, x39);
+  fiat_25519_addcarryx_u64(&x45, &x46, x44, x38, x41);
+  x47 = ((x43 >> 51) | ((x45 << 13) & UINT64_C(0xffffffffffffffff)));
+  x48 = (x43 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x49, &x50, 0x0, x23, x19);
+  fiat_25519_addcarryx_u64(&x51, &x52, x50, x24, x20);
+  fiat_25519_addcarryx_u64(&x53, &x54, 0x0, x29, x49);
+  fiat_25519_addcarryx_u64(&x55, &x56, x54, x30, x51);
+  fiat_25519_addcarryx_u64(&x57, &x58, 0x0, x25, x9);
+  fiat_25519_addcarryx_u64(&x59, &x60, x58, x26, x10);
+  fiat_25519_addcarryx_u64(&x61, &x62, 0x0, x31, x57);
+  fiat_25519_addcarryx_u64(&x63, &x64, x62, x32, x59);
+  fiat_25519_addcarryx_u64(&x65, &x66, 0x0, x27, x11);
+  fiat_25519_addcarryx_u64(&x67, &x68, x66, x28, x12);
+  fiat_25519_addcarryx_u64(&x69, &x70, 0x0, x33, x65);
+  fiat_25519_addcarryx_u64(&x71, &x72, x70, x34, x67);
+  fiat_25519_addcarryx_u64(&x73, &x74, 0x0, x15, x13);
+  fiat_25519_addcarryx_u64(&x75, &x76, x74, x16, x14);
+  fiat_25519_addcarryx_u64(&x77, &x78, 0x0, x35, x73);
+  fiat_25519_addcarryx_u64(&x79, &x80, x78, x36, x75);
+  fiat_25519_addcarryx_u64(&x81, &x82, 0x0, x47, x77);
+  x83 = (x82 + x79);
+  x84 = ((x81 >> 51) | ((x83 << 13) & UINT64_C(0xffffffffffffffff)));
+  x85 = (x81 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x86, &x87, 0x0, x84, x69);
+  x88 = (x87 + x71);
+  x89 = ((x86 >> 51) | ((x88 << 13) & UINT64_C(0xffffffffffffffff)));
+  x90 = (x86 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x91, &x92, 0x0, x89, x61);
+  x93 = (x92 + x63);
+  x94 = ((x91 >> 51) | ((x93 << 13) & UINT64_C(0xffffffffffffffff)));
+  x95 = (x91 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x96, &x97, 0x0, x94, x53);
+  x98 = (x97 + x55);
+  x99 = ((x96 >> 51) | ((x98 << 13) & UINT64_C(0xffffffffffffffff)));
+  x100 = (x96 & UINT64_C(0x7ffffffffffff));
+  x101 = (x99 * UINT8_C(0x13));
+  x102 = (x48 + x101);
+  x103 = (x102 >> 51);
+  x104 = (x102 & UINT64_C(0x7ffffffffffff));
+  x105 = (x103 + x85);
+  x106 = (fiat_25519_uint1)(x105 >> 51);
+  x107 = (x105 & UINT64_C(0x7ffffffffffff));
+  x108 = (x106 + x90);
+  out1[0] = x104;
+  out1[1] = x107;
+  out1[2] = x108;
+  out1[3] = x95;
+  out1[4] = x100;
+}
+
+/*
+ * The function fiat_25519_carry reduces a field element.
+ *
+ * Postconditions:
+ *   eval out1 mod m = eval arg1 mod m
+ *
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_carry(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  uint64_t x6;
+  uint64_t x7;
+  uint64_t x8;
+  uint64_t x9;
+  uint64_t x10;
+  uint64_t x11;
+  uint64_t x12;
+  x1 = (arg1[0]);
+  x2 = ((x1 >> 51) + (arg1[1]));
+  x3 = ((x2 >> 51) + (arg1[2]));
+  x4 = ((x3 >> 51) + (arg1[3]));
+  x5 = ((x4 >> 51) + (arg1[4]));
+  x6 = ((x1 & UINT64_C(0x7ffffffffffff)) + ((x5 >> 51) * UINT8_C(0x13)));
+  x7 = ((fiat_25519_uint1)(x6 >> 51) + (x2 & UINT64_C(0x7ffffffffffff)));
+  x8 = (x6 & UINT64_C(0x7ffffffffffff));
+  x9 = (x7 & UINT64_C(0x7ffffffffffff));
+  x10 = ((fiat_25519_uint1)(x7 >> 51) + (x3 & UINT64_C(0x7ffffffffffff)));
+  x11 = (x4 & UINT64_C(0x7ffffffffffff));
+  x12 = (x5 & UINT64_C(0x7ffffffffffff));
+  out1[0] = x8;
+  out1[1] = x9;
+  out1[2] = x10;
+  out1[3] = x11;
+  out1[4] = x12;
+}
+
+/*
+ * The function fiat_25519_add adds two field elements.
+ *
+ * Postconditions:
+ *   eval out1 mod m = (eval arg1 + eval arg2) mod m
+ *
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_add(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  x1 = ((arg1[0]) + (arg2[0]));
+  x2 = ((arg1[1]) + (arg2[1]));
+  x3 = ((arg1[2]) + (arg2[2]));
+  x4 = ((arg1[3]) + (arg2[3]));
+  x5 = ((arg1[4]) + (arg2[4]));
+  out1[0] = x1;
+  out1[1] = x2;
+  out1[2] = x3;
+  out1[3] = x4;
+  out1[4] = x5;
+}
+
+/*
+ * The function fiat_25519_sub subtracts two field elements.
+ *
+ * Postconditions:
+ *   eval out1 mod m = (eval arg1 - eval arg2) mod m
+ *
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_sub(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  x1 = ((UINT64_C(0xfffffffffffda) + (arg1[0])) - (arg2[0]));
+  x2 = ((UINT64_C(0xffffffffffffe) + (arg1[1])) - (arg2[1]));
+  x3 = ((UINT64_C(0xffffffffffffe) + (arg1[2])) - (arg2[2]));
+  x4 = ((UINT64_C(0xffffffffffffe) + (arg1[3])) - (arg2[3]));
+  x5 = ((UINT64_C(0xffffffffffffe) + (arg1[4])) - (arg2[4]));
+  out1[0] = x1;
+  out1[1] = x2;
+  out1[2] = x3;
+  out1[3] = x4;
+  out1[4] = x5;
+}
+
+/*
+ * The function fiat_25519_opp negates a field element.
+ *
+ * Postconditions:
+ *   eval out1 mod m = -eval arg1 mod m
+ *
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_opp(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  x1 = (UINT64_C(0xfffffffffffda) - (arg1[0]));
+  x2 = (UINT64_C(0xffffffffffffe) - (arg1[1]));
+  x3 = (UINT64_C(0xffffffffffffe) - (arg1[2]));
+  x4 = (UINT64_C(0xffffffffffffe) - (arg1[3]));
+  x5 = (UINT64_C(0xffffffffffffe) - (arg1[4]));
+  out1[0] = x1;
+  out1[1] = x2;
+  out1[2] = x3;
+  out1[3] = x4;
+  out1[4] = x5;
+}
+
+/*
+ * The function fiat_25519_selectznz is a multi-limb conditional select.
+ *
+ * Postconditions:
+ *   out1 = (if arg1 = 0 then arg2 else arg3)
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0x1]
+ *   arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ *   arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ * Output Bounds:
+ *   out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_selectznz(uint64_t out1[5], fiat_25519_uint1 arg1, const uint64_t arg2[5], const uint64_t arg3[5]) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  fiat_25519_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0]));
+  fiat_25519_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1]));
+  fiat_25519_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2]));
+  fiat_25519_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3]));
+  fiat_25519_cmovznz_u64(&x5, arg1, (arg2[4]), (arg3[4]));
+  out1[0] = x1;
+  out1[1] = x2;
+  out1[2] = x3;
+  out1[3] = x4;
+  out1[4] = x5;
+}
+
+/*
+ * The function fiat_25519_to_bytes serializes a field element to bytes in little-endian order.
+ *
+ * Postconditions:
+ *   out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
+ *
+ * Output Bounds:
+ *   out1: [[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 ~> 0x7f]]
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_to_bytes(uint8_t out1[32], const fiat_25519_tight_field_element arg1) {
+  uint64_t x1;
+  fiat_25519_uint1 x2;
+  uint64_t x3;
+  fiat_25519_uint1 x4;
+  uint64_t x5;
+  fiat_25519_uint1 x6;
+  uint64_t x7;
+  fiat_25519_uint1 x8;
+  uint64_t x9;
+  fiat_25519_uint1 x10;
+  uint64_t x11;
+  uint64_t x12;
+  fiat_25519_uint1 x13;
+  uint64_t x14;
+  fiat_25519_uint1 x15;
+  uint64_t x16;
+  fiat_25519_uint1 x17;
+  uint64_t x18;
+  fiat_25519_uint1 x19;
+  uint64_t x20;
+  fiat_25519_uint1 x21;
+  uint64_t x22;
+  uint64_t x23;
+  uint64_t x24;
+  uint64_t x25;
+  uint8_t x26;
+  uint64_t x27;
+  uint8_t x28;
+  uint64_t x29;
+  uint8_t x30;
+  uint64_t x31;
+  uint8_t x32;
+  uint64_t x33;
+  uint8_t x34;
+  uint64_t x35;
+  uint8_t x36;
+  uint8_t x37;
+  uint64_t x38;
+  uint8_t x39;
+  uint64_t x40;
+  uint8_t x41;
+  uint64_t x42;
+  uint8_t x43;
+  uint64_t x44;
+  uint8_t x45;
+  uint64_t x46;
+  uint8_t x47;
+  uint64_t x48;
+  uint8_t x49;
+  uint8_t x50;
+  uint64_t x51;
+  uint8_t x52;
+  uint64_t x53;
+  uint8_t x54;
+  uint64_t x55;
+  uint8_t x56;
+  uint64_t x57;
+  uint8_t x58;
+  uint64_t x59;
+  uint8_t x60;
+  uint64_t x61;
+  uint8_t x62;
+  uint64_t x63;
+  uint8_t x64;
+  fiat_25519_uint1 x65;
+  uint64_t x66;
+  uint8_t x67;
+  uint64_t x68;
+  uint8_t x69;
+  uint64_t x70;
+  uint8_t x71;
+  uint64_t x72;
+  uint8_t x73;
+  uint64_t x74;
+  uint8_t x75;
+  uint64_t x76;
+  uint8_t x77;
+  uint8_t x78;
+  uint64_t x79;
+  uint8_t x80;
+  uint64_t x81;
+  uint8_t x82;
+  uint64_t x83;
+  uint8_t x84;
+  uint64_t x85;
+  uint8_t x86;
+  uint64_t x87;
+  uint8_t x88;
+  uint64_t x89;
+  uint8_t x90;
+  uint8_t x91;
+  fiat_25519_subborrowx_u51(&x1, &x2, 0x0, (arg1[0]), UINT64_C(0x7ffffffffffed));
+  fiat_25519_subborrowx_u51(&x3, &x4, x2, (arg1[1]), UINT64_C(0x7ffffffffffff));
+  fiat_25519_subborrowx_u51(&x5, &x6, x4, (arg1[2]), UINT64_C(0x7ffffffffffff));
+  fiat_25519_subborrowx_u51(&x7, &x8, x6, (arg1[3]), UINT64_C(0x7ffffffffffff));
+  fiat_25519_subborrowx_u51(&x9, &x10, x8, (arg1[4]), UINT64_C(0x7ffffffffffff));
+  fiat_25519_cmovznz_u64(&x11, x10, 0x0, UINT64_C(0xffffffffffffffff));
+  fiat_25519_addcarryx_u51(&x12, &x13, 0x0, x1, (x11 & UINT64_C(0x7ffffffffffed)));
+  fiat_25519_addcarryx_u51(&x14, &x15, x13, x3, (x11 & UINT64_C(0x7ffffffffffff)));
+  fiat_25519_addcarryx_u51(&x16, &x17, x15, x5, (x11 & UINT64_C(0x7ffffffffffff)));
+  fiat_25519_addcarryx_u51(&x18, &x19, x17, x7, (x11 & UINT64_C(0x7ffffffffffff)));
+  fiat_25519_addcarryx_u51(&x20, &x21, x19, x9, (x11 & UINT64_C(0x7ffffffffffff)));
+  x22 = (x20 << 4);
+  x23 = (x18 * (uint64_t)0x2);
+  x24 = (x16 << 6);
+  x25 = (x14 << 3);
+  x26 = (uint8_t)(x12 & UINT8_C(0xff));
+  x27 = (x12 >> 8);
+  x28 = (uint8_t)(x27 & UINT8_C(0xff));
+  x29 = (x27 >> 8);
+  x30 = (uint8_t)(x29 & UINT8_C(0xff));
+  x31 = (x29 >> 8);
+  x32 = (uint8_t)(x31 & UINT8_C(0xff));
+  x33 = (x31 >> 8);
+  x34 = (uint8_t)(x33 & UINT8_C(0xff));
+  x35 = (x33 >> 8);
+  x36 = (uint8_t)(x35 & UINT8_C(0xff));
+  x37 = (uint8_t)(x35 >> 8);
+  x38 = (x25 + (uint64_t)x37);
+  x39 = (uint8_t)(x38 & UINT8_C(0xff));
+  x40 = (x38 >> 8);
+  x41 = (uint8_t)(x40 & UINT8_C(0xff));
+  x42 = (x40 >> 8);
+  x43 = (uint8_t)(x42 & UINT8_C(0xff));
+  x44 = (x42 >> 8);
+  x45 = (uint8_t)(x44 & UINT8_C(0xff));
+  x46 = (x44 >> 8);
+  x47 = (uint8_t)(x46 & UINT8_C(0xff));
+  x48 = (x46 >> 8);
+  x49 = (uint8_t)(x48 & UINT8_C(0xff));
+  x50 = (uint8_t)(x48 >> 8);
+  x51 = (x24 + (uint64_t)x50);
+  x52 = (uint8_t)(x51 & UINT8_C(0xff));
+  x53 = (x51 >> 8);
+  x54 = (uint8_t)(x53 & UINT8_C(0xff));
+  x55 = (x53 >> 8);
+  x56 = (uint8_t)(x55 & UINT8_C(0xff));
+  x57 = (x55 >> 8);
+  x58 = (uint8_t)(x57 & UINT8_C(0xff));
+  x59 = (x57 >> 8);
+  x60 = (uint8_t)(x59 & UINT8_C(0xff));
+  x61 = (x59 >> 8);
+  x62 = (uint8_t)(x61 & UINT8_C(0xff));
+  x63 = (x61 >> 8);
+  x64 = (uint8_t)(x63 & UINT8_C(0xff));
+  x65 = (fiat_25519_uint1)(x63 >> 8);
+  x66 = (x23 + (uint64_t)x65);
+  x67 = (uint8_t)(x66 & UINT8_C(0xff));
+  x68 = (x66 >> 8);
+  x69 = (uint8_t)(x68 & UINT8_C(0xff));
+  x70 = (x68 >> 8);
+  x71 = (uint8_t)(x70 & UINT8_C(0xff));
+  x72 = (x70 >> 8);
+  x73 = (uint8_t)(x72 & UINT8_C(0xff));
+  x74 = (x72 >> 8);
+  x75 = (uint8_t)(x74 & UINT8_C(0xff));
+  x76 = (x74 >> 8);
+  x77 = (uint8_t)(x76 & UINT8_C(0xff));
+  x78 = (uint8_t)(x76 >> 8);
+  x79 = (x22 + (uint64_t)x78);
+  x80 = (uint8_t)(x79 & UINT8_C(0xff));
+  x81 = (x79 >> 8);
+  x82 = (uint8_t)(x81 & UINT8_C(0xff));
+  x83 = (x81 >> 8);
+  x84 = (uint8_t)(x83 & UINT8_C(0xff));
+  x85 = (x83 >> 8);
+  x86 = (uint8_t)(x85 & UINT8_C(0xff));
+  x87 = (x85 >> 8);
+  x88 = (uint8_t)(x87 & UINT8_C(0xff));
+  x89 = (x87 >> 8);
+  x90 = (uint8_t)(x89 & UINT8_C(0xff));
+  x91 = (uint8_t)(x89 >> 8);
+  out1[0] = x26;
+  out1[1] = x28;
+  out1[2] = x30;
+  out1[3] = x32;
+  out1[4] = x34;
+  out1[5] = x36;
+  out1[6] = x39;
+  out1[7] = x41;
+  out1[8] = x43;
+  out1[9] = x45;
+  out1[10] = x47;
+  out1[11] = x49;
+  out1[12] = x52;
+  out1[13] = x54;
+  out1[14] = x56;
+  out1[15] = x58;
+  out1[16] = x60;
+  out1[17] = x62;
+  out1[18] = x64;
+  out1[19] = x67;
+  out1[20] = x69;
+  out1[21] = x71;
+  out1[22] = x73;
+  out1[23] = x75;
+  out1[24] = x77;
+  out1[25] = x80;
+  out1[26] = x82;
+  out1[27] = x84;
+  out1[28] = x86;
+  out1[29] = x88;
+  out1[30] = x90;
+  out1[31] = x91;
+}
+
+/*
+ * The function fiat_25519_from_bytes deserializes a field element from bytes in little-endian order.
+ *
+ * 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 ~> 0x7f]]
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_from_bytes(fiat_25519_tight_field_element out1, const uint8_t arg1[32]) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  uint64_t x6;
+  uint64_t x7;
+  uint64_t x8;
+  uint64_t x9;
+  uint64_t x10;
+  uint64_t x11;
+  uint64_t x12;
+  uint64_t x13;
+  uint64_t x14;
+  uint64_t x15;
+  uint64_t x16;
+  uint64_t x17;
+  uint64_t x18;
+  uint64_t x19;
+  uint64_t x20;
+  uint64_t x21;
+  uint64_t x22;
+  uint64_t x23;
+  uint64_t x24;
+  uint64_t x25;
+  uint64_t x26;
+  uint64_t x27;
+  uint64_t x28;
+  uint64_t x29;
+  uint64_t x30;
+  uint64_t x31;
+  uint8_t x32;
+  uint64_t x33;
+  uint64_t x34;
+  uint64_t x35;
+  uint64_t x36;
+  uint64_t x37;
+  uint64_t x38;
+  uint64_t x39;
+  uint8_t x40;
+  uint64_t x41;
+  uint64_t x42;
+  uint64_t x43;
+  uint64_t x44;
+  uint64_t x45;
+  uint64_t x46;
+  uint64_t x47;
+  uint8_t x48;
+  uint64_t x49;
+  uint64_t x50;
+  uint64_t x51;
+  uint64_t x52;
+  uint64_t x53;
+  uint64_t x54;
+  uint64_t x55;
+  uint64_t x56;
+  uint8_t x57;
+  uint64_t x58;
+  uint64_t x59;
+  uint64_t x60;
+  uint64_t x61;
+  uint64_t x62;
+  uint64_t x63;
+  uint64_t x64;
+  uint8_t x65;
+  uint64_t x66;
+  uint64_t x67;
+  uint64_t x68;
+  uint64_t x69;
+  uint64_t x70;
+  uint64_t x71;
+  x1 = ((uint64_t)(arg1[31]) << 44);
+  x2 = ((uint64_t)(arg1[30]) << 36);
+  x3 = ((uint64_t)(arg1[29]) << 28);
+  x4 = ((uint64_t)(arg1[28]) << 20);
+  x5 = ((uint64_t)(arg1[27]) << 12);
+  x6 = ((uint64_t)(arg1[26]) << 4);
+  x7 = ((uint64_t)(arg1[25]) << 47);
+  x8 = ((uint64_t)(arg1[24]) << 39);
+  x9 = ((uint64_t)(arg1[23]) << 31);
+  x10 = ((uint64_t)(arg1[22]) << 23);
+  x11 = ((uint64_t)(arg1[21]) << 15);
+  x12 = ((uint64_t)(arg1[20]) << 7);
+  x13 = ((uint64_t)(arg1[19]) << 50);
+  x14 = ((uint64_t)(arg1[18]) << 42);
+  x15 = ((uint64_t)(arg1[17]) << 34);
+  x16 = ((uint64_t)(arg1[16]) << 26);
+  x17 = ((uint64_t)(arg1[15]) << 18);
+  x18 = ((uint64_t)(arg1[14]) << 10);
+  x19 = ((uint64_t)(arg1[13]) << 2);
+  x20 = ((uint64_t)(arg1[12]) << 45);
+  x21 = ((uint64_t)(arg1[11]) << 37);
+  x22 = ((uint64_t)(arg1[10]) << 29);
+  x23 = ((uint64_t)(arg1[9]) << 21);
+  x24 = ((uint64_t)(arg1[8]) << 13);
+  x25 = ((uint64_t)(arg1[7]) << 5);
+  x26 = ((uint64_t)(arg1[6]) << 48);
+  x27 = ((uint64_t)(arg1[5]) << 40);
+  x28 = ((uint64_t)(arg1[4]) << 32);
+  x29 = ((uint64_t)(arg1[3]) << 24);
+  x30 = ((uint64_t)(arg1[2]) << 16);
+  x31 = ((uint64_t)(arg1[1]) << 8);
+  x32 = (arg1[0]);
+  x33 = (x31 + (uint64_t)x32);
+  x34 = (x30 + x33);
+  x35 = (x29 + x34);
+  x36 = (x28 + x35);
+  x37 = (x27 + x36);
+  x38 = (x26 + x37);
+  x39 = (x38 & UINT64_C(0x7ffffffffffff));
+  x40 = (uint8_t)(x38 >> 51);
+  x41 = (x25 + (uint64_t)x40);
+  x42 = (x24 + x41);
+  x43 = (x23 + x42);
+  x44 = (x22 + x43);
+  x45 = (x21 + x44);
+  x46 = (x20 + x45);
+  x47 = (x46 & UINT64_C(0x7ffffffffffff));
+  x48 = (uint8_t)(x46 >> 51);
+  x49 = (x19 + (uint64_t)x48);
+  x50 = (x18 + x49);
+  x51 = (x17 + x50);
+  x52 = (x16 + x51);
+  x53 = (x15 + x52);
+  x54 = (x14 + x53);
+  x55 = (x13 + x54);
+  x56 = (x55 & UINT64_C(0x7ffffffffffff));
+  x57 = (uint8_t)(x55 >> 51);
+  x58 = (x12 + (uint64_t)x57);
+  x59 = (x11 + x58);
+  x60 = (x10 + x59);
+  x61 = (x9 + x60);
+  x62 = (x8 + x61);
+  x63 = (x7 + x62);
+  x64 = (x63 & UINT64_C(0x7ffffffffffff));
+  x65 = (uint8_t)(x63 >> 51);
+  x66 = (x6 + (uint64_t)x65);
+  x67 = (x5 + x66);
+  x68 = (x4 + x67);
+  x69 = (x3 + x68);
+  x70 = (x2 + x69);
+  x71 = (x1 + x70);
+  out1[0] = x39;
+  out1[1] = x47;
+  out1[2] = x56;
+  out1[3] = x64;
+  out1[4] = x71;
+}
+
+/*
+ * The function fiat_25519_relax is the identity function converting from tight field elements to loose field elements.
+ *
+ * Postconditions:
+ *   out1 = arg1
+ *
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_relax(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  x1 = (arg1[0]);
+  x2 = (arg1[1]);
+  x3 = (arg1[2]);
+  x4 = (arg1[3]);
+  x5 = (arg1[4]);
+  out1[0] = x1;
+  out1[1] = x2;
+  out1[2] = x3;
+  out1[3] = x4;
+  out1[4] = x5;
+}
+
+/*
+ * The function fiat_25519_carry_scmul_121666 multiplies a field element by 121666 and reduces the result.
+ *
+ * Postconditions:
+ *   eval out1 mod m = (121666 * eval arg1) mod m
+ *
+ */
+static FIAT_25519_FIAT_INLINE void fiat_25519_carry_scmul_121666(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  uint64_t x6;
+  uint64_t x7;
+  uint64_t x8;
+  uint64_t x9;
+  uint64_t x10;
+  uint64_t x11;
+  uint64_t x12;
+  uint64_t x13;
+  fiat_25519_uint1 x14;
+  uint64_t x15;
+  uint64_t x16;
+  uint64_t x17;
+  uint64_t x18;
+  fiat_25519_uint1 x19;
+  uint64_t x20;
+  uint64_t x21;
+  uint64_t x22;
+  uint64_t x23;
+  fiat_25519_uint1 x24;
+  uint64_t x25;
+  uint64_t x26;
+  uint64_t x27;
+  uint64_t x28;
+  fiat_25519_uint1 x29;
+  uint64_t x30;
+  uint64_t x31;
+  uint64_t x32;
+  uint64_t x33;
+  uint64_t x34;
+  fiat_25519_uint1 x35;
+  uint64_t x36;
+  uint64_t x37;
+  fiat_25519_uint1 x38;
+  uint64_t x39;
+  uint64_t x40;
+  fiat_25519_mulx_u64(&x1, &x2, UINT32_C(0x1db42), (arg1[4]));
+  fiat_25519_mulx_u64(&x3, &x4, UINT32_C(0x1db42), (arg1[3]));
+  fiat_25519_mulx_u64(&x5, &x6, UINT32_C(0x1db42), (arg1[2]));
+  fiat_25519_mulx_u64(&x7, &x8, UINT32_C(0x1db42), (arg1[1]));
+  fiat_25519_mulx_u64(&x9, &x10, UINT32_C(0x1db42), (arg1[0]));
+  x11 = ((x9 >> 51) | ((x10 << 13) & UINT64_C(0xffffffffffffffff)));
+  x12 = (x9 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x13, &x14, 0x0, x11, x7);
+  x15 = (x14 + x8);
+  x16 = ((x13 >> 51) | ((x15 << 13) & UINT64_C(0xffffffffffffffff)));
+  x17 = (x13 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x18, &x19, 0x0, x16, x5);
+  x20 = (x19 + x6);
+  x21 = ((x18 >> 51) | ((x20 << 13) & UINT64_C(0xffffffffffffffff)));
+  x22 = (x18 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x23, &x24, 0x0, x21, x3);
+  x25 = (x24 + x4);
+  x26 = ((x23 >> 51) | ((x25 << 13) & UINT64_C(0xffffffffffffffff)));
+  x27 = (x23 & UINT64_C(0x7ffffffffffff));
+  fiat_25519_addcarryx_u64(&x28, &x29, 0x0, x26, x1);
+  x30 = (x29 + x2);
+  x31 = ((x28 >> 51) | ((x30 << 13) & UINT64_C(0xffffffffffffffff)));
+  x32 = (x28 & UINT64_C(0x7ffffffffffff));
+  x33 = (x31 * UINT8_C(0x13));
+  x34 = (x12 + x33);
+  x35 = (fiat_25519_uint1)(x34 >> 51);
+  x36 = (x34 & UINT64_C(0x7ffffffffffff));
+  x37 = (x35 + x17);
+  x38 = (fiat_25519_uint1)(x37 >> 51);
+  x39 = (x37 & UINT64_C(0x7ffffffffffff));
+  x40 = (x38 + x22);
+  out1[0] = x36;
+  out1[1] = x39;
+  out1[2] = x40;
+  out1[3] = x27;
+  out1[4] = x32;
+}
diff --git a/third_party/fiat/p256_64_msvc.h b/third_party/fiat/p256_64_msvc.h
new file mode 100644
index 0000000..8b65a37
--- /dev/null
+++ b/third_party/fiat/p256_64_msvc.h
@@ -0,0 +1,2002 @@
+/* Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --inline --static --use-value-barrier --no-wide-int p256 64 '2^256 - 2^224 + 2^192 + 2^96 - 1' mul square add sub opp from_montgomery to_montgomery nonzero selectznz to_bytes from_bytes one msat divstep divstep_precomp */
+/* curve description: p256 */
+/* machine_wordsize = 64 (from "64") */
+/* requested operations: mul, square, add, sub, opp, from_montgomery, to_montgomery, nonzero, selectznz, to_bytes, from_bytes, one, msat, divstep, divstep_precomp */
+/* m = 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff (from "2^256 - 2^224 + 2^192 + 2^96 - 1") */
+/*                                                                    */
+/* NOTE: In addition to the bounds specified above each function, all */
+/*   functions synthesized for this Montgomery arithmetic require the */
+/*   input to be strictly less than the prime modulus (m), and also   */
+/*   require the input to be in the unique saturated representation.  */
+/*   All functions also ensure that these two properties are true of  */
+/*   return values.                                                   */
+/*  */
+/* Computed values: */
+/*   eval z = z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) */
+/*   bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) */
+/*   twos_complement_eval z = let x1 := z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) in */
+/*                            if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256 */
+
+#include <stdint.h>
+#include <intrin.h>
+#if defined(_M_X64)
+#include <immintrin.h>
+#endif
+
+typedef unsigned char fiat_p256_uint1;
+typedef signed char fiat_p256_int1;
+
+#define FIAT_P256_FIAT_INLINE inline
+
+/* The type fiat_p256_montgomery_domain_field_element is a field element in the Montgomery domain. */
+/* Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */
+typedef uint64_t fiat_p256_montgomery_domain_field_element[4];
+
+/* The type fiat_p256_non_montgomery_domain_field_element is a field element NOT in the Montgomery domain. */
+/* Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */
+typedef uint64_t fiat_p256_non_montgomery_domain_field_element[4];
+
+#if (-1 & 3) != 3
+#error "This code only works on a two's complement system"
+#endif
+
+#define fiat_p256_value_barrier_u64(x) (x)
+
+
+/*
+ * The function fiat_p256_addcarryx_u64 is an addition with carry.
+ *
+ * Postconditions:
+ *   out1 = (arg1 + arg2 + arg3) mod 2^64
+ *   out2 = ⌊(arg1 + arg2 + arg3) / 2^64⌋
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0x1]
+ *   arg2: [0x0 ~> 0xffffffffffffffff]
+ *   arg3: [0x0 ~> 0xffffffffffffffff]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0xffffffffffffffff]
+ *   out2: [0x0 ~> 0x1]
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_addcarryx_u64(uint64_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint64_t arg2, uint64_t arg3) {
+#if defined(_M_X64)
+  *out2 = _addcarry_u64(arg1, arg2, arg3, out1);
+#else
+  arg2 += arg1;
+  arg1 = arg2 < arg1;
+  arg3 += arg2;
+  arg1 += arg3 < arg2;
+  *out1 = arg3;
+  *out2 = arg1;
+#endif
+}
+
+/*
+ * The function fiat_p256_subborrowx_u64 is a subtraction with borrow.
+ *
+ * Postconditions:
+ *   out1 = (-arg1 + arg2 + -arg3) mod 2^64
+ *   out2 = -⌊(-arg1 + arg2 + -arg3) / 2^64⌋
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0x1]
+ *   arg2: [0x0 ~> 0xffffffffffffffff]
+ *   arg3: [0x0 ~> 0xffffffffffffffff]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0xffffffffffffffff]
+ *   out2: [0x0 ~> 0x1]
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_subborrowx_u64(uint64_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint64_t arg2, uint64_t arg3) {
+#if defined(_M_X64)
+  *out2 = _subborrow_u64(arg1, arg2, arg3, out1); // NOTE: edited after generation
+#else
+  *out1 = arg2 - arg3 - arg1;
+  *out2 = (arg2 < arg3) | ((arg2 == arg3) & arg1);
+#endif
+}
+
+/*
+ * The function fiat_p256_mulx_u64 is a multiplication, returning the full double-width result.
+ *
+ * Postconditions:
+ *   out1 = (arg1 * arg2) mod 2^64
+ *   out2 = ⌊arg1 * arg2 / 2^64⌋
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0xffffffffffffffff]
+ *   arg2: [0x0 ~> 0xffffffffffffffff]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0xffffffffffffffff]
+ *   out2: [0x0 ~> 0xffffffffffffffff]
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_mulx_u64(uint64_t* out1, uint64_t* out2, uint64_t arg1, uint64_t arg2) {
+// NOTE: edited after generation
+#if defined(_M_X64)
+  *out1 = _umul128(arg1, arg2, out2);
+#elif defined(_M_ARM64)
+  *out1 = arg1 * arg2;
+  *out2 = __umulh(arg1, arg2);
+#else
+#error "This file is intended for MSVC on X64 or ARM64"
+#endif
+}
+
+/*
+ * The function fiat_p256_cmovznz_u64 is a single-word conditional move.
+ *
+ * Postconditions:
+ *   out1 = (if arg1 = 0 then arg2 else arg3)
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0x1]
+ *   arg2: [0x0 ~> 0xffffffffffffffff]
+ *   arg3: [0x0 ~> 0xffffffffffffffff]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0xffffffffffffffff]
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_cmovznz_u64(uint64_t* out1, fiat_p256_uint1 arg1, uint64_t arg2, uint64_t arg3) {
+  fiat_p256_uint1 x1;
+  uint64_t x2;
+  uint64_t x3;
+  x1 = (!(!arg1));
+  x2 = ((fiat_p256_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff));
+  x3 = ((fiat_p256_value_barrier_u64(x2) & arg3) | (fiat_p256_value_barrier_u64((~x2)) & arg2));
+  *out1 = x3;
+}
+
+/*
+ * The function fiat_p256_mul multiplies two field elements in the Montgomery domain.
+ *
+ * Preconditions:
+ *   0 ≤ eval arg1 < m
+ *   0 ≤ eval arg2 < m
+ * Postconditions:
+ *   eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
+ *   0 ≤ eval out1 < m
+ *
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_mul(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1, const fiat_p256_montgomery_domain_field_element arg2) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  uint64_t x6;
+  uint64_t x7;
+  uint64_t x8;
+  uint64_t x9;
+  uint64_t x10;
+  uint64_t x11;
+  uint64_t x12;
+  uint64_t x13;
+  fiat_p256_uint1 x14;
+  uint64_t x15;
+  fiat_p256_uint1 x16;
+  uint64_t x17;
+  fiat_p256_uint1 x18;
+  uint64_t x19;
+  uint64_t x20;
+  uint64_t x21;
+  uint64_t x22;
+  uint64_t x23;
+  uint64_t x24;
+  uint64_t x25;
+  uint64_t x26;
+  fiat_p256_uint1 x27;
+  uint64_t x28;
+  uint64_t x29;
+  fiat_p256_uint1 x30;
+  uint64_t x31;
+  fiat_p256_uint1 x32;
+  uint64_t x33;
+  fiat_p256_uint1 x34;
+  uint64_t x35;
+  fiat_p256_uint1 x36;
+  uint64_t x37;
+  fiat_p256_uint1 x38;
+  uint64_t x39;
+  uint64_t x40;
+  uint64_t x41;
+  uint64_t x42;
+  uint64_t x43;
+  uint64_t x44;
+  uint64_t x45;
+  uint64_t x46;
+  uint64_t x47;
+  fiat_p256_uint1 x48;
+  uint64_t x49;
+  fiat_p256_uint1 x50;
+  uint64_t x51;
+  fiat_p256_uint1 x52;
+  uint64_t x53;
+  uint64_t x54;
+  fiat_p256_uint1 x55;
+  uint64_t x56;
+  fiat_p256_uint1 x57;
+  uint64_t x58;
+  fiat_p256_uint1 x59;
+  uint64_t x60;
+  fiat_p256_uint1 x61;
+  uint64_t x62;
+  fiat_p256_uint1 x63;
+  uint64_t x64;
+  uint64_t x65;
+  uint64_t x66;
+  uint64_t x67;
+  uint64_t x68;
+  uint64_t x69;
+  uint64_t x70;
+  fiat_p256_uint1 x71;
+  uint64_t x72;
+  uint64_t x73;
+  fiat_p256_uint1 x74;
+  uint64_t x75;
+  fiat_p256_uint1 x76;
+  uint64_t x77;
+  fiat_p256_uint1 x78;
+  uint64_t x79;
+  fiat_p256_uint1 x80;
+  uint64_t x81;
+  fiat_p256_uint1 x82;
+  uint64_t x83;
+  uint64_t x84;
+  uint64_t x85;
+  uint64_t x86;
+  uint64_t x87;
+  uint64_t x88;
+  uint64_t x89;
+  uint64_t x90;
+  uint64_t x91;
+  uint64_t x92;
+  fiat_p256_uint1 x93;
+  uint64_t x94;
+  fiat_p256_uint1 x95;
+  uint64_t x96;
+  fiat_p256_uint1 x97;
+  uint64_t x98;
+  uint64_t x99;
+  fiat_p256_uint1 x100;
+  uint64_t x101;
+  fiat_p256_uint1 x102;
+  uint64_t x103;
+  fiat_p256_uint1 x104;
+  uint64_t x105;
+  fiat_p256_uint1 x106;
+  uint64_t x107;
+  fiat_p256_uint1 x108;
+  uint64_t x109;
+  uint64_t x110;
+  uint64_t x111;
+  uint64_t x112;
+  uint64_t x113;
+  uint64_t x114;
+  uint64_t x115;
+  fiat_p256_uint1 x116;
+  uint64_t x117;
+  uint64_t x118;
+  fiat_p256_uint1 x119;
+  uint64_t x120;
+  fiat_p256_uint1 x121;
+  uint64_t x122;
+  fiat_p256_uint1 x123;
+  uint64_t x124;
+  fiat_p256_uint1 x125;
+  uint64_t x126;
+  fiat_p256_uint1 x127;
+  uint64_t x128;
+  uint64_t x129;
+  uint64_t x130;
+  uint64_t x131;
+  uint64_t x132;
+  uint64_t x133;
+  uint64_t x134;
+  uint64_t x135;
+  uint64_t x136;
+  uint64_t x137;
+  fiat_p256_uint1 x138;
+  uint64_t x139;
+  fiat_p256_uint1 x140;
+  uint64_t x141;
+  fiat_p256_uint1 x142;
+  uint64_t x143;
+  uint64_t x144;
+  fiat_p256_uint1 x145;
+  uint64_t x146;
+  fiat_p256_uint1 x147;
+  uint64_t x148;
+  fiat_p256_uint1 x149;
+  uint64_t x150;
+  fiat_p256_uint1 x151;
+  uint64_t x152;
+  fiat_p256_uint1 x153;
+  uint64_t x154;
+  uint64_t x155;
+  uint64_t x156;
+  uint64_t x157;
+  uint64_t x158;
+  uint64_t x159;
+  uint64_t x160;
+  fiat_p256_uint1 x161;
+  uint64_t x162;
+  uint64_t x163;
+  fiat_p256_uint1 x164;
+  uint64_t x165;
+  fiat_p256_uint1 x166;
+  uint64_t x167;
+  fiat_p256_uint1 x168;
+  uint64_t x169;
+  fiat_p256_uint1 x170;
+  uint64_t x171;
+  fiat_p256_uint1 x172;
+  uint64_t x173;
+  uint64_t x174;
+  fiat_p256_uint1 x175;
+  uint64_t x176;
+  fiat_p256_uint1 x177;
+  uint64_t x178;
+  fiat_p256_uint1 x179;
+  uint64_t x180;
+  fiat_p256_uint1 x181;
+  uint64_t x182;
+  fiat_p256_uint1 x183;
+  uint64_t x184;
+  uint64_t x185;
+  uint64_t x186;
+  uint64_t x187;
+  x1 = (arg1[1]);
+  x2 = (arg1[2]);
+  x3 = (arg1[3]);
+  x4 = (arg1[0]);
+  fiat_p256_mulx_u64(&x5, &x6, x4, (arg2[3]));
+  fiat_p256_mulx_u64(&x7, &x8, x4, (arg2[2]));
+  fiat_p256_mulx_u64(&x9, &x10, x4, (arg2[1]));
+  fiat_p256_mulx_u64(&x11, &x12, x4, (arg2[0]));
+  fiat_p256_addcarryx_u64(&x13, &x14, 0x0, x12, x9);
+  fiat_p256_addcarryx_u64(&x15, &x16, x14, x10, x7);
+  fiat_p256_addcarryx_u64(&x17, &x18, x16, x8, x5);
+  x19 = (x18 + x6);
+  fiat_p256_mulx_u64(&x20, &x21, x11, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x22, &x23, x11, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x24, &x25, x11, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x26, &x27, 0x0, x25, x22);
+  x28 = (x27 + x23);
+  fiat_p256_addcarryx_u64(&x29, &x30, 0x0, x11, x24);
+  fiat_p256_addcarryx_u64(&x31, &x32, x30, x13, x26);
+  fiat_p256_addcarryx_u64(&x33, &x34, x32, x15, x28);
+  fiat_p256_addcarryx_u64(&x35, &x36, x34, x17, x20);
+  fiat_p256_addcarryx_u64(&x37, &x38, x36, x19, x21);
+  fiat_p256_mulx_u64(&x39, &x40, x1, (arg2[3]));
+  fiat_p256_mulx_u64(&x41, &x42, x1, (arg2[2]));
+  fiat_p256_mulx_u64(&x43, &x44, x1, (arg2[1]));
+  fiat_p256_mulx_u64(&x45, &x46, x1, (arg2[0]));
+  fiat_p256_addcarryx_u64(&x47, &x48, 0x0, x46, x43);
+  fiat_p256_addcarryx_u64(&x49, &x50, x48, x44, x41);
+  fiat_p256_addcarryx_u64(&x51, &x52, x50, x42, x39);
+  x53 = (x52 + x40);
+  fiat_p256_addcarryx_u64(&x54, &x55, 0x0, x31, x45);
+  fiat_p256_addcarryx_u64(&x56, &x57, x55, x33, x47);
+  fiat_p256_addcarryx_u64(&x58, &x59, x57, x35, x49);
+  fiat_p256_addcarryx_u64(&x60, &x61, x59, x37, x51);
+  fiat_p256_addcarryx_u64(&x62, &x63, x61, x38, x53);
+  fiat_p256_mulx_u64(&x64, &x65, x54, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x66, &x67, x54, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x68, &x69, x54, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x70, &x71, 0x0, x69, x66);
+  x72 = (x71 + x67);
+  fiat_p256_addcarryx_u64(&x73, &x74, 0x0, x54, x68);
+  fiat_p256_addcarryx_u64(&x75, &x76, x74, x56, x70);
+  fiat_p256_addcarryx_u64(&x77, &x78, x76, x58, x72);
+  fiat_p256_addcarryx_u64(&x79, &x80, x78, x60, x64);
+  fiat_p256_addcarryx_u64(&x81, &x82, x80, x62, x65);
+  x83 = ((uint64_t)x82 + x63);
+  fiat_p256_mulx_u64(&x84, &x85, x2, (arg2[3]));
+  fiat_p256_mulx_u64(&x86, &x87, x2, (arg2[2]));
+  fiat_p256_mulx_u64(&x88, &x89, x2, (arg2[1]));
+  fiat_p256_mulx_u64(&x90, &x91, x2, (arg2[0]));
+  fiat_p256_addcarryx_u64(&x92, &x93, 0x0, x91, x88);
+  fiat_p256_addcarryx_u64(&x94, &x95, x93, x89, x86);
+  fiat_p256_addcarryx_u64(&x96, &x97, x95, x87, x84);
+  x98 = (x97 + x85);
+  fiat_p256_addcarryx_u64(&x99, &x100, 0x0, x75, x90);
+  fiat_p256_addcarryx_u64(&x101, &x102, x100, x77, x92);
+  fiat_p256_addcarryx_u64(&x103, &x104, x102, x79, x94);
+  fiat_p256_addcarryx_u64(&x105, &x106, x104, x81, x96);
+  fiat_p256_addcarryx_u64(&x107, &x108, x106, x83, x98);
+  fiat_p256_mulx_u64(&x109, &x110, x99, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x111, &x112, x99, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x113, &x114, x99, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x115, &x116, 0x0, x114, x111);
+  x117 = (x116 + x112);
+  fiat_p256_addcarryx_u64(&x118, &x119, 0x0, x99, x113);
+  fiat_p256_addcarryx_u64(&x120, &x121, x119, x101, x115);
+  fiat_p256_addcarryx_u64(&x122, &x123, x121, x103, x117);
+  fiat_p256_addcarryx_u64(&x124, &x125, x123, x105, x109);
+  fiat_p256_addcarryx_u64(&x126, &x127, x125, x107, x110);
+  x128 = ((uint64_t)x127 + x108);
+  fiat_p256_mulx_u64(&x129, &x130, x3, (arg2[3]));
+  fiat_p256_mulx_u64(&x131, &x132, x3, (arg2[2]));
+  fiat_p256_mulx_u64(&x133, &x134, x3, (arg2[1]));
+  fiat_p256_mulx_u64(&x135, &x136, x3, (arg2[0]));
+  fiat_p256_addcarryx_u64(&x137, &x138, 0x0, x136, x133);
+  fiat_p256_addcarryx_u64(&x139, &x140, x138, x134, x131);
+  fiat_p256_addcarryx_u64(&x141, &x142, x140, x132, x129);
+  x143 = (x142 + x130);
+  fiat_p256_addcarryx_u64(&x144, &x145, 0x0, x120, x135);
+  fiat_p256_addcarryx_u64(&x146, &x147, x145, x122, x137);
+  fiat_p256_addcarryx_u64(&x148, &x149, x147, x124, x139);
+  fiat_p256_addcarryx_u64(&x150, &x151, x149, x126, x141);
+  fiat_p256_addcarryx_u64(&x152, &x153, x151, x128, x143);
+  fiat_p256_mulx_u64(&x154, &x155, x144, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x156, &x157, x144, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x158, &x159, x144, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x160, &x161, 0x0, x159, x156);
+  x162 = (x161 + x157);
+  fiat_p256_addcarryx_u64(&x163, &x164, 0x0, x144, x158);
+  fiat_p256_addcarryx_u64(&x165, &x166, x164, x146, x160);
+  fiat_p256_addcarryx_u64(&x167, &x168, x166, x148, x162);
+  fiat_p256_addcarryx_u64(&x169, &x170, x168, x150, x154);
+  fiat_p256_addcarryx_u64(&x171, &x172, x170, x152, x155);
+  x173 = ((uint64_t)x172 + x153);
+  fiat_p256_subborrowx_u64(&x174, &x175, 0x0, x165, UINT64_C(0xffffffffffffffff));
+  fiat_p256_subborrowx_u64(&x176, &x177, x175, x167, UINT32_C(0xffffffff));
+  fiat_p256_subborrowx_u64(&x178, &x179, x177, x169, 0x0);
+  fiat_p256_subborrowx_u64(&x180, &x181, x179, x171, UINT64_C(0xffffffff00000001));
+  fiat_p256_subborrowx_u64(&x182, &x183, x181, x173, 0x0);
+  fiat_p256_cmovznz_u64(&x184, x183, x174, x165);
+  fiat_p256_cmovznz_u64(&x185, x183, x176, x167);
+  fiat_p256_cmovznz_u64(&x186, x183, x178, x169);
+  fiat_p256_cmovznz_u64(&x187, x183, x180, x171);
+  out1[0] = x184;
+  out1[1] = x185;
+  out1[2] = x186;
+  out1[3] = x187;
+}
+
+/*
+ * The function fiat_p256_square squares a field element in the Montgomery domain.
+ *
+ * Preconditions:
+ *   0 ≤ eval arg1 < m
+ * Postconditions:
+ *   eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
+ *   0 ≤ eval out1 < m
+ *
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_square(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  uint64_t x6;
+  uint64_t x7;
+  uint64_t x8;
+  uint64_t x9;
+  uint64_t x10;
+  uint64_t x11;
+  uint64_t x12;
+  uint64_t x13;
+  fiat_p256_uint1 x14;
+  uint64_t x15;
+  fiat_p256_uint1 x16;
+  uint64_t x17;
+  fiat_p256_uint1 x18;
+  uint64_t x19;
+  uint64_t x20;
+  uint64_t x21;
+  uint64_t x22;
+  uint64_t x23;
+  uint64_t x24;
+  uint64_t x25;
+  uint64_t x26;
+  fiat_p256_uint1 x27;
+  uint64_t x28;
+  uint64_t x29;
+  fiat_p256_uint1 x30;
+  uint64_t x31;
+  fiat_p256_uint1 x32;
+  uint64_t x33;
+  fiat_p256_uint1 x34;
+  uint64_t x35;
+  fiat_p256_uint1 x36;
+  uint64_t x37;
+  fiat_p256_uint1 x38;
+  uint64_t x39;
+  uint64_t x40;
+  uint64_t x41;
+  uint64_t x42;
+  uint64_t x43;
+  uint64_t x44;
+  uint64_t x45;
+  uint64_t x46;
+  uint64_t x47;
+  fiat_p256_uint1 x48;
+  uint64_t x49;
+  fiat_p256_uint1 x50;
+  uint64_t x51;
+  fiat_p256_uint1 x52;
+  uint64_t x53;
+  uint64_t x54;
+  fiat_p256_uint1 x55;
+  uint64_t x56;
+  fiat_p256_uint1 x57;
+  uint64_t x58;
+  fiat_p256_uint1 x59;
+  uint64_t x60;
+  fiat_p256_uint1 x61;
+  uint64_t x62;
+  fiat_p256_uint1 x63;
+  uint64_t x64;
+  uint64_t x65;
+  uint64_t x66;
+  uint64_t x67;
+  uint64_t x68;
+  uint64_t x69;
+  uint64_t x70;
+  fiat_p256_uint1 x71;
+  uint64_t x72;
+  uint64_t x73;
+  fiat_p256_uint1 x74;
+  uint64_t x75;
+  fiat_p256_uint1 x76;
+  uint64_t x77;
+  fiat_p256_uint1 x78;
+  uint64_t x79;
+  fiat_p256_uint1 x80;
+  uint64_t x81;
+  fiat_p256_uint1 x82;
+  uint64_t x83;
+  uint64_t x84;
+  uint64_t x85;
+  uint64_t x86;
+  uint64_t x87;
+  uint64_t x88;
+  uint64_t x89;
+  uint64_t x90;
+  uint64_t x91;
+  uint64_t x92;
+  fiat_p256_uint1 x93;
+  uint64_t x94;
+  fiat_p256_uint1 x95;
+  uint64_t x96;
+  fiat_p256_uint1 x97;
+  uint64_t x98;
+  uint64_t x99;
+  fiat_p256_uint1 x100;
+  uint64_t x101;
+  fiat_p256_uint1 x102;
+  uint64_t x103;
+  fiat_p256_uint1 x104;
+  uint64_t x105;
+  fiat_p256_uint1 x106;
+  uint64_t x107;
+  fiat_p256_uint1 x108;
+  uint64_t x109;
+  uint64_t x110;
+  uint64_t x111;
+  uint64_t x112;
+  uint64_t x113;
+  uint64_t x114;
+  uint64_t x115;
+  fiat_p256_uint1 x116;
+  uint64_t x117;
+  uint64_t x118;
+  fiat_p256_uint1 x119;
+  uint64_t x120;
+  fiat_p256_uint1 x121;
+  uint64_t x122;
+  fiat_p256_uint1 x123;
+  uint64_t x124;
+  fiat_p256_uint1 x125;
+  uint64_t x126;
+  fiat_p256_uint1 x127;
+  uint64_t x128;
+  uint64_t x129;
+  uint64_t x130;
+  uint64_t x131;
+  uint64_t x132;
+  uint64_t x133;
+  uint64_t x134;
+  uint64_t x135;
+  uint64_t x136;
+  uint64_t x137;
+  fiat_p256_uint1 x138;
+  uint64_t x139;
+  fiat_p256_uint1 x140;
+  uint64_t x141;
+  fiat_p256_uint1 x142;
+  uint64_t x143;
+  uint64_t x144;
+  fiat_p256_uint1 x145;
+  uint64_t x146;
+  fiat_p256_uint1 x147;
+  uint64_t x148;
+  fiat_p256_uint1 x149;
+  uint64_t x150;
+  fiat_p256_uint1 x151;
+  uint64_t x152;
+  fiat_p256_uint1 x153;
+  uint64_t x154;
+  uint64_t x155;
+  uint64_t x156;
+  uint64_t x157;
+  uint64_t x158;
+  uint64_t x159;
+  uint64_t x160;
+  fiat_p256_uint1 x161;
+  uint64_t x162;
+  uint64_t x163;
+  fiat_p256_uint1 x164;
+  uint64_t x165;
+  fiat_p256_uint1 x166;
+  uint64_t x167;
+  fiat_p256_uint1 x168;
+  uint64_t x169;
+  fiat_p256_uint1 x170;
+  uint64_t x171;
+  fiat_p256_uint1 x172;
+  uint64_t x173;
+  uint64_t x174;
+  fiat_p256_uint1 x175;
+  uint64_t x176;
+  fiat_p256_uint1 x177;
+  uint64_t x178;
+  fiat_p256_uint1 x179;
+  uint64_t x180;
+  fiat_p256_uint1 x181;
+  uint64_t x182;
+  fiat_p256_uint1 x183;
+  uint64_t x184;
+  uint64_t x185;
+  uint64_t x186;
+  uint64_t x187;
+  x1 = (arg1[1]);
+  x2 = (arg1[2]);
+  x3 = (arg1[3]);
+  x4 = (arg1[0]);
+  fiat_p256_mulx_u64(&x5, &x6, x4, (arg1[3]));
+  fiat_p256_mulx_u64(&x7, &x8, x4, (arg1[2]));
+  fiat_p256_mulx_u64(&x9, &x10, x4, (arg1[1]));
+  fiat_p256_mulx_u64(&x11, &x12, x4, (arg1[0]));
+  fiat_p256_addcarryx_u64(&x13, &x14, 0x0, x12, x9);
+  fiat_p256_addcarryx_u64(&x15, &x16, x14, x10, x7);
+  fiat_p256_addcarryx_u64(&x17, &x18, x16, x8, x5);
+  x19 = (x18 + x6);
+  fiat_p256_mulx_u64(&x20, &x21, x11, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x22, &x23, x11, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x24, &x25, x11, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x26, &x27, 0x0, x25, x22);
+  x28 = (x27 + x23);
+  fiat_p256_addcarryx_u64(&x29, &x30, 0x0, x11, x24);
+  fiat_p256_addcarryx_u64(&x31, &x32, x30, x13, x26);
+  fiat_p256_addcarryx_u64(&x33, &x34, x32, x15, x28);
+  fiat_p256_addcarryx_u64(&x35, &x36, x34, x17, x20);
+  fiat_p256_addcarryx_u64(&x37, &x38, x36, x19, x21);
+  fiat_p256_mulx_u64(&x39, &x40, x1, (arg1[3]));
+  fiat_p256_mulx_u64(&x41, &x42, x1, (arg1[2]));
+  fiat_p256_mulx_u64(&x43, &x44, x1, (arg1[1]));
+  fiat_p256_mulx_u64(&x45, &x46, x1, (arg1[0]));
+  fiat_p256_addcarryx_u64(&x47, &x48, 0x0, x46, x43);
+  fiat_p256_addcarryx_u64(&x49, &x50, x48, x44, x41);
+  fiat_p256_addcarryx_u64(&x51, &x52, x50, x42, x39);
+  x53 = (x52 + x40);
+  fiat_p256_addcarryx_u64(&x54, &x55, 0x0, x31, x45);
+  fiat_p256_addcarryx_u64(&x56, &x57, x55, x33, x47);
+  fiat_p256_addcarryx_u64(&x58, &x59, x57, x35, x49);
+  fiat_p256_addcarryx_u64(&x60, &x61, x59, x37, x51);
+  fiat_p256_addcarryx_u64(&x62, &x63, x61, x38, x53);
+  fiat_p256_mulx_u64(&x64, &x65, x54, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x66, &x67, x54, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x68, &x69, x54, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x70, &x71, 0x0, x69, x66);
+  x72 = (x71 + x67);
+  fiat_p256_addcarryx_u64(&x73, &x74, 0x0, x54, x68);
+  fiat_p256_addcarryx_u64(&x75, &x76, x74, x56, x70);
+  fiat_p256_addcarryx_u64(&x77, &x78, x76, x58, x72);
+  fiat_p256_addcarryx_u64(&x79, &x80, x78, x60, x64);
+  fiat_p256_addcarryx_u64(&x81, &x82, x80, x62, x65);
+  x83 = ((uint64_t)x82 + x63);
+  fiat_p256_mulx_u64(&x84, &x85, x2, (arg1[3]));
+  fiat_p256_mulx_u64(&x86, &x87, x2, (arg1[2]));
+  fiat_p256_mulx_u64(&x88, &x89, x2, (arg1[1]));
+  fiat_p256_mulx_u64(&x90, &x91, x2, (arg1[0]));
+  fiat_p256_addcarryx_u64(&x92, &x93, 0x0, x91, x88);
+  fiat_p256_addcarryx_u64(&x94, &x95, x93, x89, x86);
+  fiat_p256_addcarryx_u64(&x96, &x97, x95, x87, x84);
+  x98 = (x97 + x85);
+  fiat_p256_addcarryx_u64(&x99, &x100, 0x0, x75, x90);
+  fiat_p256_addcarryx_u64(&x101, &x102, x100, x77, x92);
+  fiat_p256_addcarryx_u64(&x103, &x104, x102, x79, x94);
+  fiat_p256_addcarryx_u64(&x105, &x106, x104, x81, x96);
+  fiat_p256_addcarryx_u64(&x107, &x108, x106, x83, x98);
+  fiat_p256_mulx_u64(&x109, &x110, x99, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x111, &x112, x99, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x113, &x114, x99, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x115, &x116, 0x0, x114, x111);
+  x117 = (x116 + x112);
+  fiat_p256_addcarryx_u64(&x118, &x119, 0x0, x99, x113);
+  fiat_p256_addcarryx_u64(&x120, &x121, x119, x101, x115);
+  fiat_p256_addcarryx_u64(&x122, &x123, x121, x103, x117);
+  fiat_p256_addcarryx_u64(&x124, &x125, x123, x105, x109);
+  fiat_p256_addcarryx_u64(&x126, &x127, x125, x107, x110);
+  x128 = ((uint64_t)x127 + x108);
+  fiat_p256_mulx_u64(&x129, &x130, x3, (arg1[3]));
+  fiat_p256_mulx_u64(&x131, &x132, x3, (arg1[2]));
+  fiat_p256_mulx_u64(&x133, &x134, x3, (arg1[1]));
+  fiat_p256_mulx_u64(&x135, &x136, x3, (arg1[0]));
+  fiat_p256_addcarryx_u64(&x137, &x138, 0x0, x136, x133);
+  fiat_p256_addcarryx_u64(&x139, &x140, x138, x134, x131);
+  fiat_p256_addcarryx_u64(&x141, &x142, x140, x132, x129);
+  x143 = (x142 + x130);
+  fiat_p256_addcarryx_u64(&x144, &x145, 0x0, x120, x135);
+  fiat_p256_addcarryx_u64(&x146, &x147, x145, x122, x137);
+  fiat_p256_addcarryx_u64(&x148, &x149, x147, x124, x139);
+  fiat_p256_addcarryx_u64(&x150, &x151, x149, x126, x141);
+  fiat_p256_addcarryx_u64(&x152, &x153, x151, x128, x143);
+  fiat_p256_mulx_u64(&x154, &x155, x144, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x156, &x157, x144, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x158, &x159, x144, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x160, &x161, 0x0, x159, x156);
+  x162 = (x161 + x157);
+  fiat_p256_addcarryx_u64(&x163, &x164, 0x0, x144, x158);
+  fiat_p256_addcarryx_u64(&x165, &x166, x164, x146, x160);
+  fiat_p256_addcarryx_u64(&x167, &x168, x166, x148, x162);
+  fiat_p256_addcarryx_u64(&x169, &x170, x168, x150, x154);
+  fiat_p256_addcarryx_u64(&x171, &x172, x170, x152, x155);
+  x173 = ((uint64_t)x172 + x153);
+  fiat_p256_subborrowx_u64(&x174, &x175, 0x0, x165, UINT64_C(0xffffffffffffffff));
+  fiat_p256_subborrowx_u64(&x176, &x177, x175, x167, UINT32_C(0xffffffff));
+  fiat_p256_subborrowx_u64(&x178, &x179, x177, x169, 0x0);
+  fiat_p256_subborrowx_u64(&x180, &x181, x179, x171, UINT64_C(0xffffffff00000001));
+  fiat_p256_subborrowx_u64(&x182, &x183, x181, x173, 0x0);
+  fiat_p256_cmovznz_u64(&x184, x183, x174, x165);
+  fiat_p256_cmovznz_u64(&x185, x183, x176, x167);
+  fiat_p256_cmovznz_u64(&x186, x183, x178, x169);
+  fiat_p256_cmovznz_u64(&x187, x183, x180, x171);
+  out1[0] = x184;
+  out1[1] = x185;
+  out1[2] = x186;
+  out1[3] = x187;
+}
+
+/*
+ * The function fiat_p256_add adds two field elements in the Montgomery domain.
+ *
+ * Preconditions:
+ *   0 ≤ eval arg1 < m
+ *   0 ≤ eval arg2 < m
+ * Postconditions:
+ *   eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
+ *   0 ≤ eval out1 < m
+ *
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_add(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1, const fiat_p256_montgomery_domain_field_element arg2) {
+  uint64_t x1;
+  fiat_p256_uint1 x2;
+  uint64_t x3;
+  fiat_p256_uint1 x4;
+  uint64_t x5;
+  fiat_p256_uint1 x6;
+  uint64_t x7;
+  fiat_p256_uint1 x8;
+  uint64_t x9;
+  fiat_p256_uint1 x10;
+  uint64_t x11;
+  fiat_p256_uint1 x12;
+  uint64_t x13;
+  fiat_p256_uint1 x14;
+  uint64_t x15;
+  fiat_p256_uint1 x16;
+  uint64_t x17;
+  fiat_p256_uint1 x18;
+  uint64_t x19;
+  uint64_t x20;
+  uint64_t x21;
+  uint64_t x22;
+  fiat_p256_addcarryx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
+  fiat_p256_addcarryx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
+  fiat_p256_addcarryx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
+  fiat_p256_addcarryx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
+  fiat_p256_subborrowx_u64(&x9, &x10, 0x0, x1, UINT64_C(0xffffffffffffffff));
+  fiat_p256_subborrowx_u64(&x11, &x12, x10, x3, UINT32_C(0xffffffff));
+  fiat_p256_subborrowx_u64(&x13, &x14, x12, x5, 0x0);
+  fiat_p256_subborrowx_u64(&x15, &x16, x14, x7, UINT64_C(0xffffffff00000001));
+  fiat_p256_subborrowx_u64(&x17, &x18, x16, x8, 0x0);
+  fiat_p256_cmovznz_u64(&x19, x18, x9, x1);
+  fiat_p256_cmovznz_u64(&x20, x18, x11, x3);
+  fiat_p256_cmovznz_u64(&x21, x18, x13, x5);
+  fiat_p256_cmovznz_u64(&x22, x18, x15, x7);
+  out1[0] = x19;
+  out1[1] = x20;
+  out1[2] = x21;
+  out1[3] = x22;
+}
+
+/*
+ * The function fiat_p256_sub subtracts two field elements in the Montgomery domain.
+ *
+ * Preconditions:
+ *   0 ≤ eval arg1 < m
+ *   0 ≤ eval arg2 < m
+ * Postconditions:
+ *   eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
+ *   0 ≤ eval out1 < m
+ *
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_sub(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1, const fiat_p256_montgomery_domain_field_element arg2) {
+  uint64_t x1;
+  fiat_p256_uint1 x2;
+  uint64_t x3;
+  fiat_p256_uint1 x4;
+  uint64_t x5;
+  fiat_p256_uint1 x6;
+  uint64_t x7;
+  fiat_p256_uint1 x8;
+  uint64_t x9;
+  uint64_t x10;
+  fiat_p256_uint1 x11;
+  uint64_t x12;
+  fiat_p256_uint1 x13;
+  uint64_t x14;
+  fiat_p256_uint1 x15;
+  uint64_t x16;
+  fiat_p256_uint1 x17;
+  fiat_p256_subborrowx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
+  fiat_p256_subborrowx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
+  fiat_p256_subborrowx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
+  fiat_p256_subborrowx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
+  fiat_p256_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x10, &x11, 0x0, x1, x9);
+  fiat_p256_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT32_C(0xffffffff)));
+  fiat_p256_addcarryx_u64(&x14, &x15, x13, x5, 0x0);
+  fiat_p256_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0xffffffff00000001)));
+  out1[0] = x10;
+  out1[1] = x12;
+  out1[2] = x14;
+  out1[3] = x16;
+}
+
+/*
+ * The function fiat_p256_opp negates a field element in the Montgomery domain.
+ *
+ * Preconditions:
+ *   0 ≤ eval arg1 < m
+ * Postconditions:
+ *   eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m
+ *   0 ≤ eval out1 < m
+ *
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_opp(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1) {
+  uint64_t x1;
+  fiat_p256_uint1 x2;
+  uint64_t x3;
+  fiat_p256_uint1 x4;
+  uint64_t x5;
+  fiat_p256_uint1 x6;
+  uint64_t x7;
+  fiat_p256_uint1 x8;
+  uint64_t x9;
+  uint64_t x10;
+  fiat_p256_uint1 x11;
+  uint64_t x12;
+  fiat_p256_uint1 x13;
+  uint64_t x14;
+  fiat_p256_uint1 x15;
+  uint64_t x16;
+  fiat_p256_uint1 x17;
+  fiat_p256_subborrowx_u64(&x1, &x2, 0x0, 0x0, (arg1[0]));
+  fiat_p256_subborrowx_u64(&x3, &x4, x2, 0x0, (arg1[1]));
+  fiat_p256_subborrowx_u64(&x5, &x6, x4, 0x0, (arg1[2]));
+  fiat_p256_subborrowx_u64(&x7, &x8, x6, 0x0, (arg1[3]));
+  fiat_p256_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x10, &x11, 0x0, x1, x9);
+  fiat_p256_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT32_C(0xffffffff)));
+  fiat_p256_addcarryx_u64(&x14, &x15, x13, x5, 0x0);
+  fiat_p256_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0xffffffff00000001)));
+  out1[0] = x10;
+  out1[1] = x12;
+  out1[2] = x14;
+  out1[3] = x16;
+}
+
+/*
+ * The function fiat_p256_from_montgomery translates a field element out of the Montgomery domain.
+ *
+ * Preconditions:
+ *   0 ≤ eval arg1 < m
+ * Postconditions:
+ *   eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m
+ *   0 ≤ eval out1 < m
+ *
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_from_montgomery(fiat_p256_non_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  uint64_t x6;
+  uint64_t x7;
+  uint64_t x8;
+  fiat_p256_uint1 x9;
+  uint64_t x10;
+  fiat_p256_uint1 x11;
+  uint64_t x12;
+  fiat_p256_uint1 x13;
+  uint64_t x14;
+  fiat_p256_uint1 x15;
+  uint64_t x16;
+  uint64_t x17;
+  uint64_t x18;
+  uint64_t x19;
+  uint64_t x20;
+  uint64_t x21;
+  uint64_t x22;
+  fiat_p256_uint1 x23;
+  uint64_t x24;
+  fiat_p256_uint1 x25;
+  uint64_t x26;
+  fiat_p256_uint1 x27;
+  uint64_t x28;
+  fiat_p256_uint1 x29;
+  uint64_t x30;
+  fiat_p256_uint1 x31;
+  uint64_t x32;
+  fiat_p256_uint1 x33;
+  uint64_t x34;
+  fiat_p256_uint1 x35;
+  uint64_t x36;
+  fiat_p256_uint1 x37;
+  uint64_t x38;
+  uint64_t x39;
+  uint64_t x40;
+  uint64_t x41;
+  uint64_t x42;
+  uint64_t x43;
+  uint64_t x44;
+  fiat_p256_uint1 x45;
+  uint64_t x46;
+  fiat_p256_uint1 x47;
+  uint64_t x48;
+  fiat_p256_uint1 x49;
+  uint64_t x50;
+  fiat_p256_uint1 x51;
+  uint64_t x52;
+  fiat_p256_uint1 x53;
+  uint64_t x54;
+  fiat_p256_uint1 x55;
+  uint64_t x56;
+  fiat_p256_uint1 x57;
+  uint64_t x58;
+  fiat_p256_uint1 x59;
+  uint64_t x60;
+  uint64_t x61;
+  uint64_t x62;
+  uint64_t x63;
+  uint64_t x64;
+  uint64_t x65;
+  uint64_t x66;
+  fiat_p256_uint1 x67;
+  uint64_t x68;
+  fiat_p256_uint1 x69;
+  uint64_t x70;
+  fiat_p256_uint1 x71;
+  uint64_t x72;
+  fiat_p256_uint1 x73;
+  uint64_t x74;
+  fiat_p256_uint1 x75;
+  uint64_t x76;
+  uint64_t x77;
+  fiat_p256_uint1 x78;
+  uint64_t x79;
+  fiat_p256_uint1 x80;
+  uint64_t x81;
+  fiat_p256_uint1 x82;
+  uint64_t x83;
+  fiat_p256_uint1 x84;
+  uint64_t x85;
+  fiat_p256_uint1 x86;
+  uint64_t x87;
+  uint64_t x88;
+  uint64_t x89;
+  uint64_t x90;
+  x1 = (arg1[0]);
+  fiat_p256_mulx_u64(&x2, &x3, x1, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x4, &x5, x1, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x6, &x7, x1, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x8, &x9, 0x0, x7, x4);
+  fiat_p256_addcarryx_u64(&x10, &x11, 0x0, x1, x6);
+  fiat_p256_addcarryx_u64(&x12, &x13, x11, 0x0, x8);
+  fiat_p256_addcarryx_u64(&x14, &x15, 0x0, x12, (arg1[1]));
+  fiat_p256_mulx_u64(&x16, &x17, x14, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x18, &x19, x14, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x20, &x21, x14, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x22, &x23, 0x0, x21, x18);
+  fiat_p256_addcarryx_u64(&x24, &x25, 0x0, x14, x20);
+  fiat_p256_addcarryx_u64(&x26, &x27, x25, (x15 + (x13 + (x9 + x5))), x22);
+  fiat_p256_addcarryx_u64(&x28, &x29, x27, x2, (x23 + x19));
+  fiat_p256_addcarryx_u64(&x30, &x31, x29, x3, x16);
+  fiat_p256_addcarryx_u64(&x32, &x33, 0x0, x26, (arg1[2]));
+  fiat_p256_addcarryx_u64(&x34, &x35, x33, x28, 0x0);
+  fiat_p256_addcarryx_u64(&x36, &x37, x35, x30, 0x0);
+  fiat_p256_mulx_u64(&x38, &x39, x32, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x40, &x41, x32, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x42, &x43, x32, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x44, &x45, 0x0, x43, x40);
+  fiat_p256_addcarryx_u64(&x46, &x47, 0x0, x32, x42);
+  fiat_p256_addcarryx_u64(&x48, &x49, x47, x34, x44);
+  fiat_p256_addcarryx_u64(&x50, &x51, x49, x36, (x45 + x41));
+  fiat_p256_addcarryx_u64(&x52, &x53, x51, (x37 + (x31 + x17)), x38);
+  fiat_p256_addcarryx_u64(&x54, &x55, 0x0, x48, (arg1[3]));
+  fiat_p256_addcarryx_u64(&x56, &x57, x55, x50, 0x0);
+  fiat_p256_addcarryx_u64(&x58, &x59, x57, x52, 0x0);
+  fiat_p256_mulx_u64(&x60, &x61, x54, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x62, &x63, x54, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x64, &x65, x54, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x66, &x67, 0x0, x65, x62);
+  fiat_p256_addcarryx_u64(&x68, &x69, 0x0, x54, x64);
+  fiat_p256_addcarryx_u64(&x70, &x71, x69, x56, x66);
+  fiat_p256_addcarryx_u64(&x72, &x73, x71, x58, (x67 + x63));
+  fiat_p256_addcarryx_u64(&x74, &x75, x73, (x59 + (x53 + x39)), x60);
+  x76 = (x75 + x61);
+  fiat_p256_subborrowx_u64(&x77, &x78, 0x0, x70, UINT64_C(0xffffffffffffffff));
+  fiat_p256_subborrowx_u64(&x79, &x80, x78, x72, UINT32_C(0xffffffff));
+  fiat_p256_subborrowx_u64(&x81, &x82, x80, x74, 0x0);
+  fiat_p256_subborrowx_u64(&x83, &x84, x82, x76, UINT64_C(0xffffffff00000001));
+  fiat_p256_subborrowx_u64(&x85, &x86, x84, 0x0, 0x0);
+  fiat_p256_cmovznz_u64(&x87, x86, x77, x70);
+  fiat_p256_cmovznz_u64(&x88, x86, x79, x72);
+  fiat_p256_cmovznz_u64(&x89, x86, x81, x74);
+  fiat_p256_cmovznz_u64(&x90, x86, x83, x76);
+  out1[0] = x87;
+  out1[1] = x88;
+  out1[2] = x89;
+  out1[3] = x90;
+}
+
+/*
+ * The function fiat_p256_to_montgomery translates a field element into the Montgomery domain.
+ *
+ * Preconditions:
+ *   0 ≤ eval arg1 < m
+ * Postconditions:
+ *   eval (from_montgomery out1) mod m = eval arg1 mod m
+ *   0 ≤ eval out1 < m
+ *
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_to_montgomery(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_non_montgomery_domain_field_element arg1) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  uint64_t x6;
+  uint64_t x7;
+  uint64_t x8;
+  uint64_t x9;
+  uint64_t x10;
+  uint64_t x11;
+  uint64_t x12;
+  uint64_t x13;
+  fiat_p256_uint1 x14;
+  uint64_t x15;
+  fiat_p256_uint1 x16;
+  uint64_t x17;
+  fiat_p256_uint1 x18;
+  uint64_t x19;
+  uint64_t x20;
+  uint64_t x21;
+  uint64_t x22;
+  uint64_t x23;
+  uint64_t x24;
+  uint64_t x25;
+  fiat_p256_uint1 x26;
+  uint64_t x27;
+  fiat_p256_uint1 x28;
+  uint64_t x29;
+  fiat_p256_uint1 x30;
+  uint64_t x31;
+  fiat_p256_uint1 x32;
+  uint64_t x33;
+  fiat_p256_uint1 x34;
+  uint64_t x35;
+  fiat_p256_uint1 x36;
+  uint64_t x37;
+  uint64_t x38;
+  uint64_t x39;
+  uint64_t x40;
+  uint64_t x41;
+  uint64_t x42;
+  uint64_t x43;
+  uint64_t x44;
+  uint64_t x45;
+  fiat_p256_uint1 x46;
+  uint64_t x47;
+  fiat_p256_uint1 x48;
+  uint64_t x49;
+  fiat_p256_uint1 x50;
+  uint64_t x51;
+  fiat_p256_uint1 x52;
+  uint64_t x53;
+  fiat_p256_uint1 x54;
+  uint64_t x55;
+  fiat_p256_uint1 x56;
+  uint64_t x57;
+  fiat_p256_uint1 x58;
+  uint64_t x59;
+  uint64_t x60;
+  uint64_t x61;
+  uint64_t x62;
+  uint64_t x63;
+  uint64_t x64;
+  uint64_t x65;
+  fiat_p256_uint1 x66;
+  uint64_t x67;
+  fiat_p256_uint1 x68;
+  uint64_t x69;
+  fiat_p256_uint1 x70;
+  uint64_t x71;
+  fiat_p256_uint1 x72;
+  uint64_t x73;
+  fiat_p256_uint1 x74;
+  uint64_t x75;
+  fiat_p256_uint1 x76;
+  uint64_t x77;
+  uint64_t x78;
+  uint64_t x79;
+  uint64_t x80;
+  uint64_t x81;
+  uint64_t x82;
+  uint64_t x83;
+  uint64_t x84;
+  uint64_t x85;
+  fiat_p256_uint1 x86;
+  uint64_t x87;
+  fiat_p256_uint1 x88;
+  uint64_t x89;
+  fiat_p256_uint1 x90;
+  uint64_t x91;
+  fiat_p256_uint1 x92;
+  uint64_t x93;
+  fiat_p256_uint1 x94;
+  uint64_t x95;
+  fiat_p256_uint1 x96;
+  uint64_t x97;
+  fiat_p256_uint1 x98;
+  uint64_t x99;
+  uint64_t x100;
+  uint64_t x101;
+  uint64_t x102;
+  uint64_t x103;
+  uint64_t x104;
+  uint64_t x105;
+  fiat_p256_uint1 x106;
+  uint64_t x107;
+  fiat_p256_uint1 x108;
+  uint64_t x109;
+  fiat_p256_uint1 x110;
+  uint64_t x111;
+  fiat_p256_uint1 x112;
+  uint64_t x113;
+  fiat_p256_uint1 x114;
+  uint64_t x115;
+  fiat_p256_uint1 x116;
+  uint64_t x117;
+  uint64_t x118;
+  uint64_t x119;
+  uint64_t x120;
+  uint64_t x121;
+  uint64_t x122;
+  uint64_t x123;
+  uint64_t x124;
+  uint64_t x125;
+  fiat_p256_uint1 x126;
+  uint64_t x127;
+  fiat_p256_uint1 x128;
+  uint64_t x129;
+  fiat_p256_uint1 x130;
+  uint64_t x131;
+  fiat_p256_uint1 x132;
+  uint64_t x133;
+  fiat_p256_uint1 x134;
+  uint64_t x135;
+  fiat_p256_uint1 x136;
+  uint64_t x137;
+  fiat_p256_uint1 x138;
+  uint64_t x139;
+  uint64_t x140;
+  uint64_t x141;
+  uint64_t x142;
+  uint64_t x143;
+  uint64_t x144;
+  uint64_t x145;
+  fiat_p256_uint1 x146;
+  uint64_t x147;
+  fiat_p256_uint1 x148;
+  uint64_t x149;
+  fiat_p256_uint1 x150;
+  uint64_t x151;
+  fiat_p256_uint1 x152;
+  uint64_t x153;
+  fiat_p256_uint1 x154;
+  uint64_t x155;
+  fiat_p256_uint1 x156;
+  uint64_t x157;
+  fiat_p256_uint1 x158;
+  uint64_t x159;
+  fiat_p256_uint1 x160;
+  uint64_t x161;
+  fiat_p256_uint1 x162;
+  uint64_t x163;
+  fiat_p256_uint1 x164;
+  uint64_t x165;
+  fiat_p256_uint1 x166;
+  uint64_t x167;
+  uint64_t x168;
+  uint64_t x169;
+  uint64_t x170;
+  x1 = (arg1[1]);
+  x2 = (arg1[2]);
+  x3 = (arg1[3]);
+  x4 = (arg1[0]);
+  fiat_p256_mulx_u64(&x5, &x6, x4, UINT64_C(0x4fffffffd));
+  fiat_p256_mulx_u64(&x7, &x8, x4, UINT64_C(0xfffffffffffffffe));
+  fiat_p256_mulx_u64(&x9, &x10, x4, UINT64_C(0xfffffffbffffffff));
+  fiat_p256_mulx_u64(&x11, &x12, x4, 0x3);
+  fiat_p256_addcarryx_u64(&x13, &x14, 0x0, x12, x9);
+  fiat_p256_addcarryx_u64(&x15, &x16, x14, x10, x7);
+  fiat_p256_addcarryx_u64(&x17, &x18, x16, x8, x5);
+  fiat_p256_mulx_u64(&x19, &x20, x11, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x21, &x22, x11, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x23, &x24, x11, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x25, &x26, 0x0, x24, x21);
+  fiat_p256_addcarryx_u64(&x27, &x28, 0x0, x11, x23);
+  fiat_p256_addcarryx_u64(&x29, &x30, x28, x13, x25);
+  fiat_p256_addcarryx_u64(&x31, &x32, x30, x15, (x26 + x22));
+  fiat_p256_addcarryx_u64(&x33, &x34, x32, x17, x19);
+  fiat_p256_addcarryx_u64(&x35, &x36, x34, (x18 + x6), x20);
+  fiat_p256_mulx_u64(&x37, &x38, x1, UINT64_C(0x4fffffffd));
+  fiat_p256_mulx_u64(&x39, &x40, x1, UINT64_C(0xfffffffffffffffe));
+  fiat_p256_mulx_u64(&x41, &x42, x1, UINT64_C(0xfffffffbffffffff));
+  fiat_p256_mulx_u64(&x43, &x44, x1, 0x3);
+  fiat_p256_addcarryx_u64(&x45, &x46, 0x0, x44, x41);
+  fiat_p256_addcarryx_u64(&x47, &x48, x46, x42, x39);
+  fiat_p256_addcarryx_u64(&x49, &x50, x48, x40, x37);
+  fiat_p256_addcarryx_u64(&x51, &x52, 0x0, x29, x43);
+  fiat_p256_addcarryx_u64(&x53, &x54, x52, x31, x45);
+  fiat_p256_addcarryx_u64(&x55, &x56, x54, x33, x47);
+  fiat_p256_addcarryx_u64(&x57, &x58, x56, x35, x49);
+  fiat_p256_mulx_u64(&x59, &x60, x51, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x61, &x62, x51, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x63, &x64, x51, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x65, &x66, 0x0, x64, x61);
+  fiat_p256_addcarryx_u64(&x67, &x68, 0x0, x51, x63);
+  fiat_p256_addcarryx_u64(&x69, &x70, x68, x53, x65);
+  fiat_p256_addcarryx_u64(&x71, &x72, x70, x55, (x66 + x62));
+  fiat_p256_addcarryx_u64(&x73, &x74, x72, x57, x59);
+  fiat_p256_addcarryx_u64(&x75, &x76, x74, (((uint64_t)x58 + x36) + (x50 + x38)), x60);
+  fiat_p256_mulx_u64(&x77, &x78, x2, UINT64_C(0x4fffffffd));
+  fiat_p256_mulx_u64(&x79, &x80, x2, UINT64_C(0xfffffffffffffffe));
+  fiat_p256_mulx_u64(&x81, &x82, x2, UINT64_C(0xfffffffbffffffff));
+  fiat_p256_mulx_u64(&x83, &x84, x2, 0x3);
+  fiat_p256_addcarryx_u64(&x85, &x86, 0x0, x84, x81);
+  fiat_p256_addcarryx_u64(&x87, &x88, x86, x82, x79);
+  fiat_p256_addcarryx_u64(&x89, &x90, x88, x80, x77);
+  fiat_p256_addcarryx_u64(&x91, &x92, 0x0, x69, x83);
+  fiat_p256_addcarryx_u64(&x93, &x94, x92, x71, x85);
+  fiat_p256_addcarryx_u64(&x95, &x96, x94, x73, x87);
+  fiat_p256_addcarryx_u64(&x97, &x98, x96, x75, x89);
+  fiat_p256_mulx_u64(&x99, &x100, x91, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x101, &x102, x91, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x103, &x104, x91, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x105, &x106, 0x0, x104, x101);
+  fiat_p256_addcarryx_u64(&x107, &x108, 0x0, x91, x103);
+  fiat_p256_addcarryx_u64(&x109, &x110, x108, x93, x105);
+  fiat_p256_addcarryx_u64(&x111, &x112, x110, x95, (x106 + x102));
+  fiat_p256_addcarryx_u64(&x113, &x114, x112, x97, x99);
+  fiat_p256_addcarryx_u64(&x115, &x116, x114, (((uint64_t)x98 + x76) + (x90 + x78)), x100);
+  fiat_p256_mulx_u64(&x117, &x118, x3, UINT64_C(0x4fffffffd));
+  fiat_p256_mulx_u64(&x119, &x120, x3, UINT64_C(0xfffffffffffffffe));
+  fiat_p256_mulx_u64(&x121, &x122, x3, UINT64_C(0xfffffffbffffffff));
+  fiat_p256_mulx_u64(&x123, &x124, x3, 0x3);
+  fiat_p256_addcarryx_u64(&x125, &x126, 0x0, x124, x121);
+  fiat_p256_addcarryx_u64(&x127, &x128, x126, x122, x119);
+  fiat_p256_addcarryx_u64(&x129, &x130, x128, x120, x117);
+  fiat_p256_addcarryx_u64(&x131, &x132, 0x0, x109, x123);
+  fiat_p256_addcarryx_u64(&x133, &x134, x132, x111, x125);
+  fiat_p256_addcarryx_u64(&x135, &x136, x134, x113, x127);
+  fiat_p256_addcarryx_u64(&x137, &x138, x136, x115, x129);
+  fiat_p256_mulx_u64(&x139, &x140, x131, UINT64_C(0xffffffff00000001));
+  fiat_p256_mulx_u64(&x141, &x142, x131, UINT32_C(0xffffffff));
+  fiat_p256_mulx_u64(&x143, &x144, x131, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x145, &x146, 0x0, x144, x141);
+  fiat_p256_addcarryx_u64(&x147, &x148, 0x0, x131, x143);
+  fiat_p256_addcarryx_u64(&x149, &x150, x148, x133, x145);
+  fiat_p256_addcarryx_u64(&x151, &x152, x150, x135, (x146 + x142));
+  fiat_p256_addcarryx_u64(&x153, &x154, x152, x137, x139);
+  fiat_p256_addcarryx_u64(&x155, &x156, x154, (((uint64_t)x138 + x116) + (x130 + x118)), x140);
+  fiat_p256_subborrowx_u64(&x157, &x158, 0x0, x149, UINT64_C(0xffffffffffffffff));
+  fiat_p256_subborrowx_u64(&x159, &x160, x158, x151, UINT32_C(0xffffffff));
+  fiat_p256_subborrowx_u64(&x161, &x162, x160, x153, 0x0);
+  fiat_p256_subborrowx_u64(&x163, &x164, x162, x155, UINT64_C(0xffffffff00000001));
+  fiat_p256_subborrowx_u64(&x165, &x166, x164, x156, 0x0);
+  fiat_p256_cmovznz_u64(&x167, x166, x157, x149);
+  fiat_p256_cmovznz_u64(&x168, x166, x159, x151);
+  fiat_p256_cmovznz_u64(&x169, x166, x161, x153);
+  fiat_p256_cmovznz_u64(&x170, x166, x163, x155);
+  out1[0] = x167;
+  out1[1] = x168;
+  out1[2] = x169;
+  out1[3] = x170;
+}
+
+/*
+ * The function fiat_p256_nonzero outputs a single non-zero word if the input is non-zero and zero otherwise.
+ *
+ * Preconditions:
+ *   0 ≤ eval arg1 < m
+ * Postconditions:
+ *   out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0
+ *
+ * Input Bounds:
+ *   arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0xffffffffffffffff]
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_nonzero(uint64_t* out1, const uint64_t arg1[4]) {
+  uint64_t x1;
+  x1 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | (arg1[3]))));
+  *out1 = x1;
+}
+
+/*
+ * The function fiat_p256_selectznz is a multi-limb conditional select.
+ *
+ * Postconditions:
+ *   out1 = (if arg1 = 0 then arg2 else arg3)
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0x1]
+ *   arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ *   arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ * Output Bounds:
+ *   out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_selectznz(uint64_t out1[4], fiat_p256_uint1 arg1, const uint64_t arg2[4], const uint64_t arg3[4]) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  fiat_p256_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0]));
+  fiat_p256_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1]));
+  fiat_p256_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2]));
+  fiat_p256_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3]));
+  out1[0] = x1;
+  out1[1] = x2;
+  out1[2] = x3;
+  out1[3] = x4;
+}
+
+/*
+ * The function fiat_p256_to_bytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order.
+ *
+ * Preconditions:
+ *   0 ≤ eval arg1 < m
+ * Postconditions:
+ *   out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
+ *
+ * Input Bounds:
+ *   arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ * Output Bounds:
+ *   out1: [[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]]
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_to_bytes(uint8_t out1[32], const uint64_t arg1[4]) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint8_t x5;
+  uint64_t x6;
+  uint8_t x7;
+  uint64_t x8;
+  uint8_t x9;
+  uint64_t x10;
+  uint8_t x11;
+  uint64_t x12;
+  uint8_t x13;
+  uint64_t x14;
+  uint8_t x15;
+  uint64_t x16;
+  uint8_t x17;
+  uint8_t x18;
+  uint8_t x19;
+  uint64_t x20;
+  uint8_t x21;
+  uint64_t x22;
+  uint8_t x23;
+  uint64_t x24;
+  uint8_t x25;
+  uint64_t x26;
+  uint8_t x27;
+  uint64_t x28;
+  uint8_t x29;
+  uint64_t x30;
+  uint8_t x31;
+  uint8_t x32;
+  uint8_t x33;
+  uint64_t x34;
+  uint8_t x35;
+  uint64_t x36;
+  uint8_t x37;
+  uint64_t x38;
+  uint8_t x39;
+  uint64_t x40;
+  uint8_t x41;
+  uint64_t x42;
+  uint8_t x43;
+  uint64_t x44;
+  uint8_t x45;
+  uint8_t x46;
+  uint8_t x47;
+  uint64_t x48;
+  uint8_t x49;
+  uint64_t x50;
+  uint8_t x51;
+  uint64_t x52;
+  uint8_t x53;
+  uint64_t x54;
+  uint8_t x55;
+  uint64_t x56;
+  uint8_t x57;
+  uint64_t x58;
+  uint8_t x59;
+  uint8_t x60;
+  x1 = (arg1[3]);
+  x2 = (arg1[2]);
+  x3 = (arg1[1]);
+  x4 = (arg1[0]);
+  x5 = (uint8_t)(x4 & UINT8_C(0xff));
+  x6 = (x4 >> 8);
+  x7 = (uint8_t)(x6 & UINT8_C(0xff));
+  x8 = (x6 >> 8);
+  x9 = (uint8_t)(x8 & UINT8_C(0xff));
+  x10 = (x8 >> 8);
+  x11 = (uint8_t)(x10 & UINT8_C(0xff));
+  x12 = (x10 >> 8);
+  x13 = (uint8_t)(x12 & UINT8_C(0xff));
+  x14 = (x12 >> 8);
+  x15 = (uint8_t)(x14 & UINT8_C(0xff));
+  x16 = (x14 >> 8);
+  x17 = (uint8_t)(x16 & UINT8_C(0xff));
+  x18 = (uint8_t)(x16 >> 8);
+  x19 = (uint8_t)(x3 & UINT8_C(0xff));
+  x20 = (x3 >> 8);
+  x21 = (uint8_t)(x20 & UINT8_C(0xff));
+  x22 = (x20 >> 8);
+  x23 = (uint8_t)(x22 & UINT8_C(0xff));
+  x24 = (x22 >> 8);
+  x25 = (uint8_t)(x24 & UINT8_C(0xff));
+  x26 = (x24 >> 8);
+  x27 = (uint8_t)(x26 & UINT8_C(0xff));
+  x28 = (x26 >> 8);
+  x29 = (uint8_t)(x28 & UINT8_C(0xff));
+  x30 = (x28 >> 8);
+  x31 = (uint8_t)(x30 & UINT8_C(0xff));
+  x32 = (uint8_t)(x30 >> 8);
+  x33 = (uint8_t)(x2 & UINT8_C(0xff));
+  x34 = (x2 >> 8);
+  x35 = (uint8_t)(x34 & UINT8_C(0xff));
+  x36 = (x34 >> 8);
+  x37 = (uint8_t)(x36 & UINT8_C(0xff));
+  x38 = (x36 >> 8);
+  x39 = (uint8_t)(x38 & UINT8_C(0xff));
+  x40 = (x38 >> 8);
+  x41 = (uint8_t)(x40 & UINT8_C(0xff));
+  x42 = (x40 >> 8);
+  x43 = (uint8_t)(x42 & UINT8_C(0xff));
+  x44 = (x42 >> 8);
+  x45 = (uint8_t)(x44 & UINT8_C(0xff));
+  x46 = (uint8_t)(x44 >> 8);
+  x47 = (uint8_t)(x1 & UINT8_C(0xff));
+  x48 = (x1 >> 8);
+  x49 = (uint8_t)(x48 & UINT8_C(0xff));
+  x50 = (x48 >> 8);
+  x51 = (uint8_t)(x50 & UINT8_C(0xff));
+  x52 = (x50 >> 8);
+  x53 = (uint8_t)(x52 & UINT8_C(0xff));
+  x54 = (x52 >> 8);
+  x55 = (uint8_t)(x54 & UINT8_C(0xff));
+  x56 = (x54 >> 8);
+  x57 = (uint8_t)(x56 & UINT8_C(0xff));
+  x58 = (x56 >> 8);
+  x59 = (uint8_t)(x58 & UINT8_C(0xff));
+  x60 = (uint8_t)(x58 >> 8);
+  out1[0] = x5;
+  out1[1] = x7;
+  out1[2] = x9;
+  out1[3] = x11;
+  out1[4] = x13;
+  out1[5] = x15;
+  out1[6] = x17;
+  out1[7] = x18;
+  out1[8] = x19;
+  out1[9] = x21;
+  out1[10] = x23;
+  out1[11] = x25;
+  out1[12] = x27;
+  out1[13] = x29;
+  out1[14] = x31;
+  out1[15] = x32;
+  out1[16] = x33;
+  out1[17] = x35;
+  out1[18] = x37;
+  out1[19] = x39;
+  out1[20] = x41;
+  out1[21] = x43;
+  out1[22] = x45;
+  out1[23] = x46;
+  out1[24] = x47;
+  out1[25] = x49;
+  out1[26] = x51;
+  out1[27] = x53;
+  out1[28] = x55;
+  out1[29] = x57;
+  out1[30] = x59;
+  out1[31] = x60;
+}
+
+/*
+ * The function fiat_p256_from_bytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order.
+ *
+ * Preconditions:
+ *   0 ≤ bytes_eval arg1 < m
+ * Postconditions:
+ *   eval out1 mod m = bytes_eval arg1 mod m
+ *   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]]
+ * Output Bounds:
+ *   out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_from_bytes(uint64_t out1[4], const uint8_t arg1[32]) {
+  uint64_t x1;
+  uint64_t x2;
+  uint64_t x3;
+  uint64_t x4;
+  uint64_t x5;
+  uint64_t x6;
+  uint64_t x7;
+  uint8_t x8;
+  uint64_t x9;
+  uint64_t x10;
+  uint64_t x11;
+  uint64_t x12;
+  uint64_t x13;
+  uint64_t x14;
+  uint64_t x15;
+  uint8_t x16;
+  uint64_t x17;
+  uint64_t x18;
+  uint64_t x19;
+  uint64_t x20;
+  uint64_t x21;
+  uint64_t x22;
+  uint64_t x23;
+  uint8_t x24;
+  uint64_t x25;
+  uint64_t x26;
+  uint64_t x27;
+  uint64_t x28;
+  uint64_t x29;
+  uint64_t x30;
+  uint64_t x31;
+  uint8_t x32;
+  uint64_t x33;
+  uint64_t x34;
+  uint64_t x35;
+  uint64_t x36;
+  uint64_t x37;
+  uint64_t x38;
+  uint64_t x39;
+  uint64_t x40;
+  uint64_t x41;
+  uint64_t x42;
+  uint64_t x43;
+  uint64_t x44;
+  uint64_t x45;
+  uint64_t x46;
+  uint64_t x47;
+  uint64_t x48;
+  uint64_t x49;
+  uint64_t x50;
+  uint64_t x51;
+  uint64_t x52;
+  uint64_t x53;
+  uint64_t x54;
+  uint64_t x55;
+  uint64_t x56;
+  uint64_t x57;
+  uint64_t x58;
+  uint64_t x59;
+  uint64_t x60;
+  x1 = ((uint64_t)(arg1[31]) << 56);
+  x2 = ((uint64_t)(arg1[30]) << 48);
+  x3 = ((uint64_t)(arg1[29]) << 40);
+  x4 = ((uint64_t)(arg1[28]) << 32);
+  x5 = ((uint64_t)(arg1[27]) << 24);
+  x6 = ((uint64_t)(arg1[26]) << 16);
+  x7 = ((uint64_t)(arg1[25]) << 8);
+  x8 = (arg1[24]);
+  x9 = ((uint64_t)(arg1[23]) << 56);
+  x10 = ((uint64_t)(arg1[22]) << 48);
+  x11 = ((uint64_t)(arg1[21]) << 40);
+  x12 = ((uint64_t)(arg1[20]) << 32);
+  x13 = ((uint64_t)(arg1[19]) << 24);
+  x14 = ((uint64_t)(arg1[18]) << 16);
+  x15 = ((uint64_t)(arg1[17]) << 8);
+  x16 = (arg1[16]);
+  x17 = ((uint64_t)(arg1[15]) << 56);
+  x18 = ((uint64_t)(arg1[14]) << 48);
+  x19 = ((uint64_t)(arg1[13]) << 40);
+  x20 = ((uint64_t)(arg1[12]) << 32);
+  x21 = ((uint64_t)(arg1[11]) << 24);
+  x22 = ((uint64_t)(arg1[10]) << 16);
+  x23 = ((uint64_t)(arg1[9]) << 8);
+  x24 = (arg1[8]);
+  x25 = ((uint64_t)(arg1[7]) << 56);
+  x26 = ((uint64_t)(arg1[6]) << 48);
+  x27 = ((uint64_t)(arg1[5]) << 40);
+  x28 = ((uint64_t)(arg1[4]) << 32);
+  x29 = ((uint64_t)(arg1[3]) << 24);
+  x30 = ((uint64_t)(arg1[2]) << 16);
+  x31 = ((uint64_t)(arg1[1]) << 8);
+  x32 = (arg1[0]);
+  x33 = (x31 + (uint64_t)x32);
+  x34 = (x30 + x33);
+  x35 = (x29 + x34);
+  x36 = (x28 + x35);
+  x37 = (x27 + x36);
+  x38 = (x26 + x37);
+  x39 = (x25 + x38);
+  x40 = (x23 + (uint64_t)x24);
+  x41 = (x22 + x40);
+  x42 = (x21 + x41);
+  x43 = (x20 + x42);
+  x44 = (x19 + x43);
+  x45 = (x18 + x44);
+  x46 = (x17 + x45);
+  x47 = (x15 + (uint64_t)x16);
+  x48 = (x14 + x47);
+  x49 = (x13 + x48);
+  x50 = (x12 + x49);
+  x51 = (x11 + x50);
+  x52 = (x10 + x51);
+  x53 = (x9 + x52);
+  x54 = (x7 + (uint64_t)x8);
+  x55 = (x6 + x54);
+  x56 = (x5 + x55);
+  x57 = (x4 + x56);
+  x58 = (x3 + x57);
+  x59 = (x2 + x58);
+  x60 = (x1 + x59);
+  out1[0] = x39;
+  out1[1] = x46;
+  out1[2] = x53;
+  out1[3] = x60;
+}
+
+/*
+ * The function fiat_p256_set_one returns the field element one in the Montgomery domain.
+ *
+ * Postconditions:
+ *   eval (from_montgomery out1) mod m = 1 mod m
+ *   0 ≤ eval out1 < m
+ *
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_set_one(fiat_p256_montgomery_domain_field_element out1) {
+  out1[0] = 0x1;
+  out1[1] = UINT64_C(0xffffffff00000000);
+  out1[2] = UINT64_C(0xffffffffffffffff);
+  out1[3] = UINT32_C(0xfffffffe);
+}
+
+/*
+ * The function fiat_p256_msat returns the saturated representation of the prime modulus.
+ *
+ * Postconditions:
+ *   twos_complement_eval out1 = m
+ *   0 ≤ eval out1 < m
+ *
+ * Output Bounds:
+ *   out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_msat(uint64_t out1[5]) {
+  out1[0] = UINT64_C(0xffffffffffffffff);
+  out1[1] = UINT32_C(0xffffffff);
+  out1[2] = 0x0;
+  out1[3] = UINT64_C(0xffffffff00000001);
+  out1[4] = 0x0;
+}
+
+/*
+ * The function fiat_p256_divstep computes a divstep.
+ *
+ * Preconditions:
+ *   0 ≤ eval arg4 < m
+ *   0 ≤ eval arg5 < m
+ * Postconditions:
+ *   out1 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then 1 - arg1 else 1 + arg1)
+ *   twos_complement_eval out2 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then twos_complement_eval arg3 else twos_complement_eval arg2)
+ *   twos_complement_eval out3 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then ⌊(twos_complement_eval arg3 - twos_complement_eval arg2) / 2⌋ else ⌊(twos_complement_eval arg3 + (twos_complement_eval arg3 mod 2) * twos_complement_eval arg2) / 2⌋)
+ *   eval (from_montgomery out4) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (2 * eval (from_montgomery arg5)) mod m else (2 * eval (from_montgomery arg4)) mod m)
+ *   eval (from_montgomery out5) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (eval (from_montgomery arg4) - eval (from_montgomery arg4)) mod m else (eval (from_montgomery arg5) + (twos_complement_eval arg3 mod 2) * eval (from_montgomery arg4)) mod m)
+ *   0 ≤ eval out5 < m
+ *   0 ≤ eval out5 < m
+ *   0 ≤ eval out2 < m
+ *   0 ≤ eval out3 < m
+ *
+ * Input Bounds:
+ *   arg1: [0x0 ~> 0xffffffffffffffff]
+ *   arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ *   arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ *   arg4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ *   arg5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ * Output Bounds:
+ *   out1: [0x0 ~> 0xffffffffffffffff]
+ *   out2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ *   out3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ *   out4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ *   out5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_divstep(uint64_t* out1, uint64_t out2[5], uint64_t out3[5], uint64_t out4[4], uint64_t out5[4], uint64_t arg1, const uint64_t arg2[5], const uint64_t arg3[5], const uint64_t arg4[4], const uint64_t arg5[4]) {
+  uint64_t x1;
+  fiat_p256_uint1 x2;
+  fiat_p256_uint1 x3;
+  uint64_t x4;
+  fiat_p256_uint1 x5;
+  uint64_t x6;
+  uint64_t x7;
+  uint64_t x8;
+  uint64_t x9;
+  uint64_t x10;
+  uint64_t x11;
+  uint64_t x12;
+  fiat_p256_uint1 x13;
+  uint64_t x14;
+  fiat_p256_uint1 x15;
+  uint64_t x16;
+  fiat_p256_uint1 x17;
+  uint64_t x18;
+  fiat_p256_uint1 x19;
+  uint64_t x20;
+  fiat_p256_uint1 x21;
+  uint64_t x22;
+  uint64_t x23;
+  uint64_t x24;
+  uint64_t x25;
+  uint64_t x26;
+  uint64_t x27;
+  uint64_t x28;
+  uint64_t x29;
+  uint64_t x30;
+  uint64_t x31;
+  fiat_p256_uint1 x32;
+  uint64_t x33;
+  fiat_p256_uint1 x34;
+  uint64_t x35;
+  fiat_p256_uint1 x36;
+  uint64_t x37;
+  fiat_p256_uint1 x38;
+  uint64_t x39;
+  fiat_p256_uint1 x40;
+  uint64_t x41;
+  fiat_p256_uint1 x42;
+  uint64_t x43;
+  fiat_p256_uint1 x44;
+  uint64_t x45;
+  fiat_p256_uint1 x46;
+  uint64_t x47;
+  fiat_p256_uint1 x48;
+  uint64_t x49;
+  uint64_t x50;
+  uint64_t x51;
+  uint64_t x52;
+  uint64_t x53;
+  fiat_p256_uint1 x54;
+  uint64_t x55;
+  fiat_p256_uint1 x56;
+  uint64_t x57;
+  fiat_p256_uint1 x58;
+  uint64_t x59;
+  fiat_p256_uint1 x60;
+  uint64_t x61;
+  uint64_t x62;
+  fiat_p256_uint1 x63;
+  uint64_t x64;
+  fiat_p256_uint1 x65;
+  uint64_t x66;
+  fiat_p256_uint1 x67;
+  uint64_t x68;
+  fiat_p256_uint1 x69;
+  uint64_t x70;
+  uint64_t x71;
+  uint64_t x72;
+  uint64_t x73;
+  fiat_p256_uint1 x74;
+  uint64_t x75;
+  uint64_t x76;
+  uint64_t x77;
+  uint64_t x78;
+  uint64_t x79;
+  uint64_t x80;
+  fiat_p256_uint1 x81;
+  uint64_t x82;
+  fiat_p256_uint1 x83;
+  uint64_t x84;
+  fiat_p256_uint1 x85;
+  uint64_t x86;
+  fiat_p256_uint1 x87;
+  uint64_t x88;
+  fiat_p256_uint1 x89;
+  uint64_t x90;
+  uint64_t x91;
+  uint64_t x92;
+  uint64_t x93;
+  uint64_t x94;
+  fiat_p256_uint1 x95;
+  uint64_t x96;
+  fiat_p256_uint1 x97;
+  uint64_t x98;
+  fiat_p256_uint1 x99;
+  uint64_t x100;
+  fiat_p256_uint1 x101;
+  uint64_t x102;
+  fiat_p256_uint1 x103;
+  uint64_t x104;
+  fiat_p256_uint1 x105;
+  uint64_t x106;
+  fiat_p256_uint1 x107;
+  uint64_t x108;
+  fiat_p256_uint1 x109;
+  uint64_t x110;
+  fiat_p256_uint1 x111;
+  uint64_t x112;
+  fiat_p256_uint1 x113;
+  uint64_t x114;
+  uint64_t x115;
+  uint64_t x116;
+  uint64_t x117;
+  uint64_t x118;
+  uint64_t x119;
+  uint64_t x120;
+  uint64_t x121;
+  uint64_t x122;
+  uint64_t x123;
+  uint64_t x124;
+  uint64_t x125;
+  uint64_t x126;
+  fiat_p256_addcarryx_u64(&x1, &x2, 0x0, (~arg1), 0x1);
+  x3 = (fiat_p256_uint1)((fiat_p256_uint1)(x1 >> 63) & (fiat_p256_uint1)((arg3[0]) & 0x1));
+  fiat_p256_addcarryx_u64(&x4, &x5, 0x0, (~arg1), 0x1);
+  fiat_p256_cmovznz_u64(&x6, x3, arg1, x4);
+  fiat_p256_cmovznz_u64(&x7, x3, (arg2[0]), (arg3[0]));
+  fiat_p256_cmovznz_u64(&x8, x3, (arg2[1]), (arg3[1]));
+  fiat_p256_cmovznz_u64(&x9, x3, (arg2[2]), (arg3[2]));
+  fiat_p256_cmovznz_u64(&x10, x3, (arg2[3]), (arg3[3]));
+  fiat_p256_cmovznz_u64(&x11, x3, (arg2[4]), (arg3[4]));
+  fiat_p256_addcarryx_u64(&x12, &x13, 0x0, 0x1, (~(arg2[0])));
+  fiat_p256_addcarryx_u64(&x14, &x15, x13, 0x0, (~(arg2[1])));
+  fiat_p256_addcarryx_u64(&x16, &x17, x15, 0x0, (~(arg2[2])));
+  fiat_p256_addcarryx_u64(&x18, &x19, x17, 0x0, (~(arg2[3])));
+  fiat_p256_addcarryx_u64(&x20, &x21, x19, 0x0, (~(arg2[4])));
+  fiat_p256_cmovznz_u64(&x22, x3, (arg3[0]), x12);
+  fiat_p256_cmovznz_u64(&x23, x3, (arg3[1]), x14);
+  fiat_p256_cmovznz_u64(&x24, x3, (arg3[2]), x16);
+  fiat_p256_cmovznz_u64(&x25, x3, (arg3[3]), x18);
+  fiat_p256_cmovznz_u64(&x26, x3, (arg3[4]), x20);
+  fiat_p256_cmovznz_u64(&x27, x3, (arg4[0]), (arg5[0]));
+  fiat_p256_cmovznz_u64(&x28, x3, (arg4[1]), (arg5[1]));
+  fiat_p256_cmovznz_u64(&x29, x3, (arg4[2]), (arg5[2]));
+  fiat_p256_cmovznz_u64(&x30, x3, (arg4[3]), (arg5[3]));
+  fiat_p256_addcarryx_u64(&x31, &x32, 0x0, x27, x27);
+  fiat_p256_addcarryx_u64(&x33, &x34, x32, x28, x28);
+  fiat_p256_addcarryx_u64(&x35, &x36, x34, x29, x29);
+  fiat_p256_addcarryx_u64(&x37, &x38, x36, x30, x30);
+  fiat_p256_subborrowx_u64(&x39, &x40, 0x0, x31, UINT64_C(0xffffffffffffffff));
+  fiat_p256_subborrowx_u64(&x41, &x42, x40, x33, UINT32_C(0xffffffff));
+  fiat_p256_subborrowx_u64(&x43, &x44, x42, x35, 0x0);
+  fiat_p256_subborrowx_u64(&x45, &x46, x44, x37, UINT64_C(0xffffffff00000001));
+  fiat_p256_subborrowx_u64(&x47, &x48, x46, x38, 0x0);
+  x49 = (arg4[3]);
+  x50 = (arg4[2]);
+  x51 = (arg4[1]);
+  x52 = (arg4[0]);
+  fiat_p256_subborrowx_u64(&x53, &x54, 0x0, 0x0, x52);
+  fiat_p256_subborrowx_u64(&x55, &x56, x54, 0x0, x51);
+  fiat_p256_subborrowx_u64(&x57, &x58, x56, 0x0, x50);
+  fiat_p256_subborrowx_u64(&x59, &x60, x58, 0x0, x49);
+  fiat_p256_cmovznz_u64(&x61, x60, 0x0, UINT64_C(0xffffffffffffffff));
+  fiat_p256_addcarryx_u64(&x62, &x63, 0x0, x53, x61);
+  fiat_p256_addcarryx_u64(&x64, &x65, x63, x55, (x61 & UINT32_C(0xffffffff)));
+  fiat_p256_addcarryx_u64(&x66, &x67, x65, x57, 0x0);
+  fiat_p256_addcarryx_u64(&x68, &x69, x67, x59, (x61 & UINT64_C(0xffffffff00000001)));
+  fiat_p256_cmovznz_u64(&x70, x3, (arg5[0]), x62);
+  fiat_p256_cmovznz_u64(&x71, x3, (arg5[1]), x64);
+  fiat_p256_cmovznz_u64(&x72, x3, (arg5[2]), x66);
+  fiat_p256_cmovznz_u64(&x73, x3, (arg5[3]), x68);
+  x74 = (fiat_p256_uint1)(x22 & 0x1);
+  fiat_p256_cmovznz_u64(&x75, x74, 0x0, x7);
+  fiat_p256_cmovznz_u64(&x76, x74, 0x0, x8);
+  fiat_p256_cmovznz_u64(&x77, x74, 0x0, x9);
+  fiat_p256_cmovznz_u64(&x78, x74, 0x0, x10);
+  fiat_p256_cmovznz_u64(&x79, x74, 0x0, x11);
+  fiat_p256_addcarryx_u64(&x80, &x81, 0x0, x22, x75);
+  fiat_p256_addcarryx_u64(&x82, &x83, x81, x23, x76);
+  fiat_p256_addcarryx_u64(&x84, &x85, x83, x24, x77);
+  fiat_p256_addcarryx_u64(&x86, &x87, x85, x25, x78);
+  fiat_p256_addcarryx_u64(&x88, &x89, x87, x26, x79);
+  fiat_p256_cmovznz_u64(&x90, x74, 0x0, x27);
+  fiat_p256_cmovznz_u64(&x91, x74, 0x0, x28);
+  fiat_p256_cmovznz_u64(&x92, x74, 0x0, x29);
+  fiat_p256_cmovznz_u64(&x93, x74, 0x0, x30);
+  fiat_p256_addcarryx_u64(&x94, &x95, 0x0, x70, x90);
+  fiat_p256_addcarryx_u64(&x96, &x97, x95, x71, x91);
+  fiat_p256_addcarryx_u64(&x98, &x99, x97, x72, x92);
+  fiat_p256_addcarryx_u64(&x100, &x101, x99, x73, x93);
+  fiat_p256_subborrowx_u64(&x102, &x103, 0x0, x94, UINT64_C(0xffffffffffffffff));
+  fiat_p256_subborrowx_u64(&x104, &x105, x103, x96, UINT32_C(0xffffffff));
+  fiat_p256_subborrowx_u64(&x106, &x107, x105, x98, 0x0);
+  fiat_p256_subborrowx_u64(&x108, &x109, x107, x100, UINT64_C(0xffffffff00000001));
+  fiat_p256_subborrowx_u64(&x110, &x111, x109, x101, 0x0);
+  fiat_p256_addcarryx_u64(&x112, &x113, 0x0, x6, 0x1);
+  x114 = ((x80 >> 1) | ((x82 << 63) & UINT64_C(0xffffffffffffffff)));
+  x115 = ((x82 >> 1) | ((x84 << 63) & UINT64_C(0xffffffffffffffff)));
+  x116 = ((x84 >> 1) | ((x86 << 63) & UINT64_C(0xffffffffffffffff)));
+  x117 = ((x86 >> 1) | ((x88 << 63) & UINT64_C(0xffffffffffffffff)));
+  x118 = ((x88 & UINT64_C(0x8000000000000000)) | (x88 >> 1));
+  fiat_p256_cmovznz_u64(&x119, x48, x39, x31);
+  fiat_p256_cmovznz_u64(&x120, x48, x41, x33);
+  fiat_p256_cmovznz_u64(&x121, x48, x43, x35);
+  fiat_p256_cmovznz_u64(&x122, x48, x45, x37);
+  fiat_p256_cmovznz_u64(&x123, x111, x102, x94);
+  fiat_p256_cmovznz_u64(&x124, x111, x104, x96);
+  fiat_p256_cmovznz_u64(&x125, x111, x106, x98);
+  fiat_p256_cmovznz_u64(&x126, x111, x108, x100);
+  *out1 = x112;
+  out2[0] = x7;
+  out2[1] = x8;
+  out2[2] = x9;
+  out2[3] = x10;
+  out2[4] = x11;
+  out3[0] = x114;
+  out3[1] = x115;
+  out3[2] = x116;
+  out3[3] = x117;
+  out3[4] = x118;
+  out4[0] = x119;
+  out4[1] = x120;
+  out4[2] = x121;
+  out4[3] = x122;
+  out5[0] = x123;
+  out5[1] = x124;
+  out5[2] = x125;
+  out5[3] = x126;
+}
+
+/*
+ * The function fiat_p256_divstep_precomp returns the precomputed value for Bernstein-Yang-inversion (in montgomery form).
+ *
+ * Postconditions:
+ *   eval (from_montgomery out1) = ⌊(m - 1) / 2⌋^(if ⌊log2 m⌋ + 1 < 46 then ⌊(49 * (⌊log2 m⌋ + 1) + 80) / 17⌋ else ⌊(49 * (⌊log2 m⌋ + 1) + 57) / 17⌋)
+ *   0 ≤ eval out1 < m
+ *
+ * Output Bounds:
+ *   out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+ */
+static FIAT_P256_FIAT_INLINE void fiat_p256_divstep_precomp(uint64_t out1[4]) {
+  out1[0] = UINT64_C(0x67ffffffb8000000);
+  out1[1] = UINT64_C(0xc000000038000000);
+  out1[2] = UINT64_C(0xd80000007fffffff);
+  out1[3] = UINT64_C(0x2fffffffffffffff);
+}