fiat_crypto/
secp256k1_montgomery_64.rs

1//! Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --lang Rust --inline secp256k1_montgomery 64 '2^256 - 2^32 - 977' mul square add sub opp from_montgomery to_montgomery nonzero selectznz to_bytes from_bytes one msat divstep divstep_precomp
2//! curve description: secp256k1_montgomery
3//! machine_wordsize = 64 (from "64")
4//! requested operations: mul, square, add, sub, opp, from_montgomery, to_montgomery, nonzero, selectznz, to_bytes, from_bytes, one, msat, divstep, divstep_precomp
5//! m = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f (from "2^256 - 2^32 - 977")
6//!
7//! NOTE: In addition to the bounds specified above each function, all
8//!   functions synthesized for this Montgomery arithmetic require the
9//!   input to be strictly less than the prime modulus (m), and also
10//!   require the input to be in the unique saturated representation.
11//!   All functions also ensure that these two properties are true of
12//!   return values.
13//!
14//! Computed values:
15//!   eval z = z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192)
16//!   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)
17//!   twos_complement_eval z = let x1 := z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) in
18//!                            if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256
19
20#![allow(unused_parens)]
21#![allow(non_camel_case_types)]
22
23/** fiat_secp256k1_montgomery_u1 represents values of 1 bits, stored in one byte. */
24pub type fiat_secp256k1_montgomery_u1 = u8;
25/** fiat_secp256k1_montgomery_i1 represents values of 1 bits, stored in one byte. */
26pub type fiat_secp256k1_montgomery_i1 = i8;
27/** fiat_secp256k1_montgomery_u2 represents values of 2 bits, stored in one byte. */
28pub type fiat_secp256k1_montgomery_u2 = u8;
29/** fiat_secp256k1_montgomery_i2 represents values of 2 bits, stored in one byte. */
30pub type fiat_secp256k1_montgomery_i2 = i8;
31
32/** The type fiat_secp256k1_montgomery_montgomery_domain_field_element is a field element in the Montgomery domain. */
33/** Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */
34#[derive(Clone, Copy)]
35pub struct fiat_secp256k1_montgomery_montgomery_domain_field_element(pub [u64; 4]);
36
37impl core::ops::Index<usize> for fiat_secp256k1_montgomery_montgomery_domain_field_element {
38    type Output = u64;
39    #[inline]
40    fn index(&self, index: usize) -> &Self::Output {
41        &self.0[index]
42    }
43}
44
45impl core::ops::IndexMut<usize> for fiat_secp256k1_montgomery_montgomery_domain_field_element {
46    #[inline]
47    fn index_mut(&mut self, index: usize) -> &mut Self::Output {
48        &mut self.0[index]
49    }
50}
51
52/** The type fiat_secp256k1_montgomery_non_montgomery_domain_field_element is a field element NOT in the Montgomery domain. */
53/** Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */
54#[derive(Clone, Copy)]
55pub struct fiat_secp256k1_montgomery_non_montgomery_domain_field_element(pub [u64; 4]);
56
57impl core::ops::Index<usize> for fiat_secp256k1_montgomery_non_montgomery_domain_field_element {
58    type Output = u64;
59    #[inline]
60    fn index(&self, index: usize) -> &Self::Output {
61        &self.0[index]
62    }
63}
64
65impl core::ops::IndexMut<usize> for fiat_secp256k1_montgomery_non_montgomery_domain_field_element {
66    #[inline]
67    fn index_mut(&mut self, index: usize) -> &mut Self::Output {
68        &mut self.0[index]
69    }
70}
71
72
73/// The function fiat_secp256k1_montgomery_addcarryx_u64 is an addition with carry.
74///
75/// Postconditions:
76///   out1 = (arg1 + arg2 + arg3) mod 2^64
77///   out2 = ⌊(arg1 + arg2 + arg3) / 2^64⌋
78///
79/// Input Bounds:
80///   arg1: [0x0 ~> 0x1]
81///   arg2: [0x0 ~> 0xffffffffffffffff]
82///   arg3: [0x0 ~> 0xffffffffffffffff]
83/// Output Bounds:
84///   out1: [0x0 ~> 0xffffffffffffffff]
85///   out2: [0x0 ~> 0x1]
86#[inline]
87pub fn fiat_secp256k1_montgomery_addcarryx_u64(out1: &mut u64, out2: &mut fiat_secp256k1_montgomery_u1, arg1: fiat_secp256k1_montgomery_u1, arg2: u64, arg3: u64) {
88  let x1: u128 = (((arg1 as u128) + (arg2 as u128)) + (arg3 as u128));
89  let x2: u64 = ((x1 & (0xffffffffffffffff as u128)) as u64);
90  let x3: fiat_secp256k1_montgomery_u1 = ((x1 >> 64) as fiat_secp256k1_montgomery_u1);
91  *out1 = x2;
92  *out2 = x3;
93}
94
95/// The function fiat_secp256k1_montgomery_subborrowx_u64 is a subtraction with borrow.
96///
97/// Postconditions:
98///   out1 = (-arg1 + arg2 + -arg3) mod 2^64
99///   out2 = -⌊(-arg1 + arg2 + -arg3) / 2^64⌋
100///
101/// Input Bounds:
102///   arg1: [0x0 ~> 0x1]
103///   arg2: [0x0 ~> 0xffffffffffffffff]
104///   arg3: [0x0 ~> 0xffffffffffffffff]
105/// Output Bounds:
106///   out1: [0x0 ~> 0xffffffffffffffff]
107///   out2: [0x0 ~> 0x1]
108#[inline]
109pub fn fiat_secp256k1_montgomery_subborrowx_u64(out1: &mut u64, out2: &mut fiat_secp256k1_montgomery_u1, arg1: fiat_secp256k1_montgomery_u1, arg2: u64, arg3: u64) {
110  let x1: i128 = (((arg2 as i128) - (arg1 as i128)) - (arg3 as i128));
111  let x2: fiat_secp256k1_montgomery_i1 = ((x1 >> 64) as fiat_secp256k1_montgomery_i1);
112  let x3: u64 = ((x1 & (0xffffffffffffffff as i128)) as u64);
113  *out1 = x3;
114  *out2 = (((0x0 as fiat_secp256k1_montgomery_i2) - (x2 as fiat_secp256k1_montgomery_i2)) as fiat_secp256k1_montgomery_u1);
115}
116
117/// The function fiat_secp256k1_montgomery_mulx_u64 is a multiplication, returning the full double-width result.
118///
119/// Postconditions:
120///   out1 = (arg1 * arg2) mod 2^64
121///   out2 = ⌊arg1 * arg2 / 2^64⌋
122///
123/// Input Bounds:
124///   arg1: [0x0 ~> 0xffffffffffffffff]
125///   arg2: [0x0 ~> 0xffffffffffffffff]
126/// Output Bounds:
127///   out1: [0x0 ~> 0xffffffffffffffff]
128///   out2: [0x0 ~> 0xffffffffffffffff]
129#[inline]
130pub fn fiat_secp256k1_montgomery_mulx_u64(out1: &mut u64, out2: &mut u64, arg1: u64, arg2: u64) {
131  let x1: u128 = ((arg1 as u128) * (arg2 as u128));
132  let x2: u64 = ((x1 & (0xffffffffffffffff as u128)) as u64);
133  let x3: u64 = ((x1 >> 64) as u64);
134  *out1 = x2;
135  *out2 = x3;
136}
137
138/// The function fiat_secp256k1_montgomery_cmovznz_u64 is a single-word conditional move.
139///
140/// Postconditions:
141///   out1 = (if arg1 = 0 then arg2 else arg3)
142///
143/// Input Bounds:
144///   arg1: [0x0 ~> 0x1]
145///   arg2: [0x0 ~> 0xffffffffffffffff]
146///   arg3: [0x0 ~> 0xffffffffffffffff]
147/// Output Bounds:
148///   out1: [0x0 ~> 0xffffffffffffffff]
149#[inline]
150pub fn fiat_secp256k1_montgomery_cmovznz_u64(out1: &mut u64, arg1: fiat_secp256k1_montgomery_u1, arg2: u64, arg3: u64) {
151  let x1: fiat_secp256k1_montgomery_u1 = (!(!arg1));
152  let x2: u64 = ((((((0x0 as fiat_secp256k1_montgomery_i2) - (x1 as fiat_secp256k1_montgomery_i2)) as fiat_secp256k1_montgomery_i1) as i128) & (0xffffffffffffffff as i128)) as u64);
153  let x3: u64 = ((x2 & arg3) | ((!x2) & arg2));
154  *out1 = x3;
155}
156
157/// The function fiat_secp256k1_montgomery_mul multiplies two field elements in the Montgomery domain.
158///
159/// Preconditions:
160///   0 ≤ eval arg1 < m
161///   0 ≤ eval arg2 < m
162/// Postconditions:
163///   eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
164///   0 ≤ eval out1 < m
165///
166#[inline]
167pub fn fiat_secp256k1_montgomery_mul(out1: &mut fiat_secp256k1_montgomery_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_montgomery_domain_field_element, arg2: &fiat_secp256k1_montgomery_montgomery_domain_field_element) {
168  let x1: u64 = (arg1[1]);
169  let x2: u64 = (arg1[2]);
170  let x3: u64 = (arg1[3]);
171  let x4: u64 = (arg1[0]);
172  let mut x5: u64 = 0;
173  let mut x6: u64 = 0;
174  fiat_secp256k1_montgomery_mulx_u64(&mut x5, &mut x6, x4, (arg2[3]));
175  let mut x7: u64 = 0;
176  let mut x8: u64 = 0;
177  fiat_secp256k1_montgomery_mulx_u64(&mut x7, &mut x8, x4, (arg2[2]));
178  let mut x9: u64 = 0;
179  let mut x10: u64 = 0;
180  fiat_secp256k1_montgomery_mulx_u64(&mut x9, &mut x10, x4, (arg2[1]));
181  let mut x11: u64 = 0;
182  let mut x12: u64 = 0;
183  fiat_secp256k1_montgomery_mulx_u64(&mut x11, &mut x12, x4, (arg2[0]));
184  let mut x13: u64 = 0;
185  let mut x14: fiat_secp256k1_montgomery_u1 = 0;
186  fiat_secp256k1_montgomery_addcarryx_u64(&mut x13, &mut x14, 0x0, x12, x9);
187  let mut x15: u64 = 0;
188  let mut x16: fiat_secp256k1_montgomery_u1 = 0;
189  fiat_secp256k1_montgomery_addcarryx_u64(&mut x15, &mut x16, x14, x10, x7);
190  let mut x17: u64 = 0;
191  let mut x18: fiat_secp256k1_montgomery_u1 = 0;
192  fiat_secp256k1_montgomery_addcarryx_u64(&mut x17, &mut x18, x16, x8, x5);
193  let x19: u64 = ((x18 as u64) + x6);
194  let mut x20: u64 = 0;
195  let mut x21: u64 = 0;
196  fiat_secp256k1_montgomery_mulx_u64(&mut x20, &mut x21, x11, 0xd838091dd2253531);
197  let mut x22: u64 = 0;
198  let mut x23: u64 = 0;
199  fiat_secp256k1_montgomery_mulx_u64(&mut x22, &mut x23, x20, 0xffffffffffffffff);
200  let mut x24: u64 = 0;
201  let mut x25: u64 = 0;
202  fiat_secp256k1_montgomery_mulx_u64(&mut x24, &mut x25, x20, 0xffffffffffffffff);
203  let mut x26: u64 = 0;
204  let mut x27: u64 = 0;
205  fiat_secp256k1_montgomery_mulx_u64(&mut x26, &mut x27, x20, 0xffffffffffffffff);
206  let mut x28: u64 = 0;
207  let mut x29: u64 = 0;
208  fiat_secp256k1_montgomery_mulx_u64(&mut x28, &mut x29, x20, 0xfffffffefffffc2f);
209  let mut x30: u64 = 0;
210  let mut x31: fiat_secp256k1_montgomery_u1 = 0;
211  fiat_secp256k1_montgomery_addcarryx_u64(&mut x30, &mut x31, 0x0, x29, x26);
212  let mut x32: u64 = 0;
213  let mut x33: fiat_secp256k1_montgomery_u1 = 0;
214  fiat_secp256k1_montgomery_addcarryx_u64(&mut x32, &mut x33, x31, x27, x24);
215  let mut x34: u64 = 0;
216  let mut x35: fiat_secp256k1_montgomery_u1 = 0;
217  fiat_secp256k1_montgomery_addcarryx_u64(&mut x34, &mut x35, x33, x25, x22);
218  let x36: u64 = ((x35 as u64) + x23);
219  let mut x37: u64 = 0;
220  let mut x38: fiat_secp256k1_montgomery_u1 = 0;
221  fiat_secp256k1_montgomery_addcarryx_u64(&mut x37, &mut x38, 0x0, x11, x28);
222  let mut x39: u64 = 0;
223  let mut x40: fiat_secp256k1_montgomery_u1 = 0;
224  fiat_secp256k1_montgomery_addcarryx_u64(&mut x39, &mut x40, x38, x13, x30);
225  let mut x41: u64 = 0;
226  let mut x42: fiat_secp256k1_montgomery_u1 = 0;
227  fiat_secp256k1_montgomery_addcarryx_u64(&mut x41, &mut x42, x40, x15, x32);
228  let mut x43: u64 = 0;
229  let mut x44: fiat_secp256k1_montgomery_u1 = 0;
230  fiat_secp256k1_montgomery_addcarryx_u64(&mut x43, &mut x44, x42, x17, x34);
231  let mut x45: u64 = 0;
232  let mut x46: fiat_secp256k1_montgomery_u1 = 0;
233  fiat_secp256k1_montgomery_addcarryx_u64(&mut x45, &mut x46, x44, x19, x36);
234  let mut x47: u64 = 0;
235  let mut x48: u64 = 0;
236  fiat_secp256k1_montgomery_mulx_u64(&mut x47, &mut x48, x1, (arg2[3]));
237  let mut x49: u64 = 0;
238  let mut x50: u64 = 0;
239  fiat_secp256k1_montgomery_mulx_u64(&mut x49, &mut x50, x1, (arg2[2]));
240  let mut x51: u64 = 0;
241  let mut x52: u64 = 0;
242  fiat_secp256k1_montgomery_mulx_u64(&mut x51, &mut x52, x1, (arg2[1]));
243  let mut x53: u64 = 0;
244  let mut x54: u64 = 0;
245  fiat_secp256k1_montgomery_mulx_u64(&mut x53, &mut x54, x1, (arg2[0]));
246  let mut x55: u64 = 0;
247  let mut x56: fiat_secp256k1_montgomery_u1 = 0;
248  fiat_secp256k1_montgomery_addcarryx_u64(&mut x55, &mut x56, 0x0, x54, x51);
249  let mut x57: u64 = 0;
250  let mut x58: fiat_secp256k1_montgomery_u1 = 0;
251  fiat_secp256k1_montgomery_addcarryx_u64(&mut x57, &mut x58, x56, x52, x49);
252  let mut x59: u64 = 0;
253  let mut x60: fiat_secp256k1_montgomery_u1 = 0;
254  fiat_secp256k1_montgomery_addcarryx_u64(&mut x59, &mut x60, x58, x50, x47);
255  let x61: u64 = ((x60 as u64) + x48);
256  let mut x62: u64 = 0;
257  let mut x63: fiat_secp256k1_montgomery_u1 = 0;
258  fiat_secp256k1_montgomery_addcarryx_u64(&mut x62, &mut x63, 0x0, x39, x53);
259  let mut x64: u64 = 0;
260  let mut x65: fiat_secp256k1_montgomery_u1 = 0;
261  fiat_secp256k1_montgomery_addcarryx_u64(&mut x64, &mut x65, x63, x41, x55);
262  let mut x66: u64 = 0;
263  let mut x67: fiat_secp256k1_montgomery_u1 = 0;
264  fiat_secp256k1_montgomery_addcarryx_u64(&mut x66, &mut x67, x65, x43, x57);
265  let mut x68: u64 = 0;
266  let mut x69: fiat_secp256k1_montgomery_u1 = 0;
267  fiat_secp256k1_montgomery_addcarryx_u64(&mut x68, &mut x69, x67, x45, x59);
268  let mut x70: u64 = 0;
269  let mut x71: fiat_secp256k1_montgomery_u1 = 0;
270  fiat_secp256k1_montgomery_addcarryx_u64(&mut x70, &mut x71, x69, (x46 as u64), x61);
271  let mut x72: u64 = 0;
272  let mut x73: u64 = 0;
273  fiat_secp256k1_montgomery_mulx_u64(&mut x72, &mut x73, x62, 0xd838091dd2253531);
274  let mut x74: u64 = 0;
275  let mut x75: u64 = 0;
276  fiat_secp256k1_montgomery_mulx_u64(&mut x74, &mut x75, x72, 0xffffffffffffffff);
277  let mut x76: u64 = 0;
278  let mut x77: u64 = 0;
279  fiat_secp256k1_montgomery_mulx_u64(&mut x76, &mut x77, x72, 0xffffffffffffffff);
280  let mut x78: u64 = 0;
281  let mut x79: u64 = 0;
282  fiat_secp256k1_montgomery_mulx_u64(&mut x78, &mut x79, x72, 0xffffffffffffffff);
283  let mut x80: u64 = 0;
284  let mut x81: u64 = 0;
285  fiat_secp256k1_montgomery_mulx_u64(&mut x80, &mut x81, x72, 0xfffffffefffffc2f);
286  let mut x82: u64 = 0;
287  let mut x83: fiat_secp256k1_montgomery_u1 = 0;
288  fiat_secp256k1_montgomery_addcarryx_u64(&mut x82, &mut x83, 0x0, x81, x78);
289  let mut x84: u64 = 0;
290  let mut x85: fiat_secp256k1_montgomery_u1 = 0;
291  fiat_secp256k1_montgomery_addcarryx_u64(&mut x84, &mut x85, x83, x79, x76);
292  let mut x86: u64 = 0;
293  let mut x87: fiat_secp256k1_montgomery_u1 = 0;
294  fiat_secp256k1_montgomery_addcarryx_u64(&mut x86, &mut x87, x85, x77, x74);
295  let x88: u64 = ((x87 as u64) + x75);
296  let mut x89: u64 = 0;
297  let mut x90: fiat_secp256k1_montgomery_u1 = 0;
298  fiat_secp256k1_montgomery_addcarryx_u64(&mut x89, &mut x90, 0x0, x62, x80);
299  let mut x91: u64 = 0;
300  let mut x92: fiat_secp256k1_montgomery_u1 = 0;
301  fiat_secp256k1_montgomery_addcarryx_u64(&mut x91, &mut x92, x90, x64, x82);
302  let mut x93: u64 = 0;
303  let mut x94: fiat_secp256k1_montgomery_u1 = 0;
304  fiat_secp256k1_montgomery_addcarryx_u64(&mut x93, &mut x94, x92, x66, x84);
305  let mut x95: u64 = 0;
306  let mut x96: fiat_secp256k1_montgomery_u1 = 0;
307  fiat_secp256k1_montgomery_addcarryx_u64(&mut x95, &mut x96, x94, x68, x86);
308  let mut x97: u64 = 0;
309  let mut x98: fiat_secp256k1_montgomery_u1 = 0;
310  fiat_secp256k1_montgomery_addcarryx_u64(&mut x97, &mut x98, x96, x70, x88);
311  let x99: u64 = ((x98 as u64) + (x71 as u64));
312  let mut x100: u64 = 0;
313  let mut x101: u64 = 0;
314  fiat_secp256k1_montgomery_mulx_u64(&mut x100, &mut x101, x2, (arg2[3]));
315  let mut x102: u64 = 0;
316  let mut x103: u64 = 0;
317  fiat_secp256k1_montgomery_mulx_u64(&mut x102, &mut x103, x2, (arg2[2]));
318  let mut x104: u64 = 0;
319  let mut x105: u64 = 0;
320  fiat_secp256k1_montgomery_mulx_u64(&mut x104, &mut x105, x2, (arg2[1]));
321  let mut x106: u64 = 0;
322  let mut x107: u64 = 0;
323  fiat_secp256k1_montgomery_mulx_u64(&mut x106, &mut x107, x2, (arg2[0]));
324  let mut x108: u64 = 0;
325  let mut x109: fiat_secp256k1_montgomery_u1 = 0;
326  fiat_secp256k1_montgomery_addcarryx_u64(&mut x108, &mut x109, 0x0, x107, x104);
327  let mut x110: u64 = 0;
328  let mut x111: fiat_secp256k1_montgomery_u1 = 0;
329  fiat_secp256k1_montgomery_addcarryx_u64(&mut x110, &mut x111, x109, x105, x102);
330  let mut x112: u64 = 0;
331  let mut x113: fiat_secp256k1_montgomery_u1 = 0;
332  fiat_secp256k1_montgomery_addcarryx_u64(&mut x112, &mut x113, x111, x103, x100);
333  let x114: u64 = ((x113 as u64) + x101);
334  let mut x115: u64 = 0;
335  let mut x116: fiat_secp256k1_montgomery_u1 = 0;
336  fiat_secp256k1_montgomery_addcarryx_u64(&mut x115, &mut x116, 0x0, x91, x106);
337  let mut x117: u64 = 0;
338  let mut x118: fiat_secp256k1_montgomery_u1 = 0;
339  fiat_secp256k1_montgomery_addcarryx_u64(&mut x117, &mut x118, x116, x93, x108);
340  let mut x119: u64 = 0;
341  let mut x120: fiat_secp256k1_montgomery_u1 = 0;
342  fiat_secp256k1_montgomery_addcarryx_u64(&mut x119, &mut x120, x118, x95, x110);
343  let mut x121: u64 = 0;
344  let mut x122: fiat_secp256k1_montgomery_u1 = 0;
345  fiat_secp256k1_montgomery_addcarryx_u64(&mut x121, &mut x122, x120, x97, x112);
346  let mut x123: u64 = 0;
347  let mut x124: fiat_secp256k1_montgomery_u1 = 0;
348  fiat_secp256k1_montgomery_addcarryx_u64(&mut x123, &mut x124, x122, x99, x114);
349  let mut x125: u64 = 0;
350  let mut x126: u64 = 0;
351  fiat_secp256k1_montgomery_mulx_u64(&mut x125, &mut x126, x115, 0xd838091dd2253531);
352  let mut x127: u64 = 0;
353  let mut x128: u64 = 0;
354  fiat_secp256k1_montgomery_mulx_u64(&mut x127, &mut x128, x125, 0xffffffffffffffff);
355  let mut x129: u64 = 0;
356  let mut x130: u64 = 0;
357  fiat_secp256k1_montgomery_mulx_u64(&mut x129, &mut x130, x125, 0xffffffffffffffff);
358  let mut x131: u64 = 0;
359  let mut x132: u64 = 0;
360  fiat_secp256k1_montgomery_mulx_u64(&mut x131, &mut x132, x125, 0xffffffffffffffff);
361  let mut x133: u64 = 0;
362  let mut x134: u64 = 0;
363  fiat_secp256k1_montgomery_mulx_u64(&mut x133, &mut x134, x125, 0xfffffffefffffc2f);
364  let mut x135: u64 = 0;
365  let mut x136: fiat_secp256k1_montgomery_u1 = 0;
366  fiat_secp256k1_montgomery_addcarryx_u64(&mut x135, &mut x136, 0x0, x134, x131);
367  let mut x137: u64 = 0;
368  let mut x138: fiat_secp256k1_montgomery_u1 = 0;
369  fiat_secp256k1_montgomery_addcarryx_u64(&mut x137, &mut x138, x136, x132, x129);
370  let mut x139: u64 = 0;
371  let mut x140: fiat_secp256k1_montgomery_u1 = 0;
372  fiat_secp256k1_montgomery_addcarryx_u64(&mut x139, &mut x140, x138, x130, x127);
373  let x141: u64 = ((x140 as u64) + x128);
374  let mut x142: u64 = 0;
375  let mut x143: fiat_secp256k1_montgomery_u1 = 0;
376  fiat_secp256k1_montgomery_addcarryx_u64(&mut x142, &mut x143, 0x0, x115, x133);
377  let mut x144: u64 = 0;
378  let mut x145: fiat_secp256k1_montgomery_u1 = 0;
379  fiat_secp256k1_montgomery_addcarryx_u64(&mut x144, &mut x145, x143, x117, x135);
380  let mut x146: u64 = 0;
381  let mut x147: fiat_secp256k1_montgomery_u1 = 0;
382  fiat_secp256k1_montgomery_addcarryx_u64(&mut x146, &mut x147, x145, x119, x137);
383  let mut x148: u64 = 0;
384  let mut x149: fiat_secp256k1_montgomery_u1 = 0;
385  fiat_secp256k1_montgomery_addcarryx_u64(&mut x148, &mut x149, x147, x121, x139);
386  let mut x150: u64 = 0;
387  let mut x151: fiat_secp256k1_montgomery_u1 = 0;
388  fiat_secp256k1_montgomery_addcarryx_u64(&mut x150, &mut x151, x149, x123, x141);
389  let x152: u64 = ((x151 as u64) + (x124 as u64));
390  let mut x153: u64 = 0;
391  let mut x154: u64 = 0;
392  fiat_secp256k1_montgomery_mulx_u64(&mut x153, &mut x154, x3, (arg2[3]));
393  let mut x155: u64 = 0;
394  let mut x156: u64 = 0;
395  fiat_secp256k1_montgomery_mulx_u64(&mut x155, &mut x156, x3, (arg2[2]));
396  let mut x157: u64 = 0;
397  let mut x158: u64 = 0;
398  fiat_secp256k1_montgomery_mulx_u64(&mut x157, &mut x158, x3, (arg2[1]));
399  let mut x159: u64 = 0;
400  let mut x160: u64 = 0;
401  fiat_secp256k1_montgomery_mulx_u64(&mut x159, &mut x160, x3, (arg2[0]));
402  let mut x161: u64 = 0;
403  let mut x162: fiat_secp256k1_montgomery_u1 = 0;
404  fiat_secp256k1_montgomery_addcarryx_u64(&mut x161, &mut x162, 0x0, x160, x157);
405  let mut x163: u64 = 0;
406  let mut x164: fiat_secp256k1_montgomery_u1 = 0;
407  fiat_secp256k1_montgomery_addcarryx_u64(&mut x163, &mut x164, x162, x158, x155);
408  let mut x165: u64 = 0;
409  let mut x166: fiat_secp256k1_montgomery_u1 = 0;
410  fiat_secp256k1_montgomery_addcarryx_u64(&mut x165, &mut x166, x164, x156, x153);
411  let x167: u64 = ((x166 as u64) + x154);
412  let mut x168: u64 = 0;
413  let mut x169: fiat_secp256k1_montgomery_u1 = 0;
414  fiat_secp256k1_montgomery_addcarryx_u64(&mut x168, &mut x169, 0x0, x144, x159);
415  let mut x170: u64 = 0;
416  let mut x171: fiat_secp256k1_montgomery_u1 = 0;
417  fiat_secp256k1_montgomery_addcarryx_u64(&mut x170, &mut x171, x169, x146, x161);
418  let mut x172: u64 = 0;
419  let mut x173: fiat_secp256k1_montgomery_u1 = 0;
420  fiat_secp256k1_montgomery_addcarryx_u64(&mut x172, &mut x173, x171, x148, x163);
421  let mut x174: u64 = 0;
422  let mut x175: fiat_secp256k1_montgomery_u1 = 0;
423  fiat_secp256k1_montgomery_addcarryx_u64(&mut x174, &mut x175, x173, x150, x165);
424  let mut x176: u64 = 0;
425  let mut x177: fiat_secp256k1_montgomery_u1 = 0;
426  fiat_secp256k1_montgomery_addcarryx_u64(&mut x176, &mut x177, x175, x152, x167);
427  let mut x178: u64 = 0;
428  let mut x179: u64 = 0;
429  fiat_secp256k1_montgomery_mulx_u64(&mut x178, &mut x179, x168, 0xd838091dd2253531);
430  let mut x180: u64 = 0;
431  let mut x181: u64 = 0;
432  fiat_secp256k1_montgomery_mulx_u64(&mut x180, &mut x181, x178, 0xffffffffffffffff);
433  let mut x182: u64 = 0;
434  let mut x183: u64 = 0;
435  fiat_secp256k1_montgomery_mulx_u64(&mut x182, &mut x183, x178, 0xffffffffffffffff);
436  let mut x184: u64 = 0;
437  let mut x185: u64 = 0;
438  fiat_secp256k1_montgomery_mulx_u64(&mut x184, &mut x185, x178, 0xffffffffffffffff);
439  let mut x186: u64 = 0;
440  let mut x187: u64 = 0;
441  fiat_secp256k1_montgomery_mulx_u64(&mut x186, &mut x187, x178, 0xfffffffefffffc2f);
442  let mut x188: u64 = 0;
443  let mut x189: fiat_secp256k1_montgomery_u1 = 0;
444  fiat_secp256k1_montgomery_addcarryx_u64(&mut x188, &mut x189, 0x0, x187, x184);
445  let mut x190: u64 = 0;
446  let mut x191: fiat_secp256k1_montgomery_u1 = 0;
447  fiat_secp256k1_montgomery_addcarryx_u64(&mut x190, &mut x191, x189, x185, x182);
448  let mut x192: u64 = 0;
449  let mut x193: fiat_secp256k1_montgomery_u1 = 0;
450  fiat_secp256k1_montgomery_addcarryx_u64(&mut x192, &mut x193, x191, x183, x180);
451  let x194: u64 = ((x193 as u64) + x181);
452  let mut x195: u64 = 0;
453  let mut x196: fiat_secp256k1_montgomery_u1 = 0;
454  fiat_secp256k1_montgomery_addcarryx_u64(&mut x195, &mut x196, 0x0, x168, x186);
455  let mut x197: u64 = 0;
456  let mut x198: fiat_secp256k1_montgomery_u1 = 0;
457  fiat_secp256k1_montgomery_addcarryx_u64(&mut x197, &mut x198, x196, x170, x188);
458  let mut x199: u64 = 0;
459  let mut x200: fiat_secp256k1_montgomery_u1 = 0;
460  fiat_secp256k1_montgomery_addcarryx_u64(&mut x199, &mut x200, x198, x172, x190);
461  let mut x201: u64 = 0;
462  let mut x202: fiat_secp256k1_montgomery_u1 = 0;
463  fiat_secp256k1_montgomery_addcarryx_u64(&mut x201, &mut x202, x200, x174, x192);
464  let mut x203: u64 = 0;
465  let mut x204: fiat_secp256k1_montgomery_u1 = 0;
466  fiat_secp256k1_montgomery_addcarryx_u64(&mut x203, &mut x204, x202, x176, x194);
467  let x205: u64 = ((x204 as u64) + (x177 as u64));
468  let mut x206: u64 = 0;
469  let mut x207: fiat_secp256k1_montgomery_u1 = 0;
470  fiat_secp256k1_montgomery_subborrowx_u64(&mut x206, &mut x207, 0x0, x197, 0xfffffffefffffc2f);
471  let mut x208: u64 = 0;
472  let mut x209: fiat_secp256k1_montgomery_u1 = 0;
473  fiat_secp256k1_montgomery_subborrowx_u64(&mut x208, &mut x209, x207, x199, 0xffffffffffffffff);
474  let mut x210: u64 = 0;
475  let mut x211: fiat_secp256k1_montgomery_u1 = 0;
476  fiat_secp256k1_montgomery_subborrowx_u64(&mut x210, &mut x211, x209, x201, 0xffffffffffffffff);
477  let mut x212: u64 = 0;
478  let mut x213: fiat_secp256k1_montgomery_u1 = 0;
479  fiat_secp256k1_montgomery_subborrowx_u64(&mut x212, &mut x213, x211, x203, 0xffffffffffffffff);
480  let mut x214: u64 = 0;
481  let mut x215: fiat_secp256k1_montgomery_u1 = 0;
482  fiat_secp256k1_montgomery_subborrowx_u64(&mut x214, &mut x215, x213, x205, (0x0 as u64));
483  let mut x216: u64 = 0;
484  fiat_secp256k1_montgomery_cmovznz_u64(&mut x216, x215, x206, x197);
485  let mut x217: u64 = 0;
486  fiat_secp256k1_montgomery_cmovznz_u64(&mut x217, x215, x208, x199);
487  let mut x218: u64 = 0;
488  fiat_secp256k1_montgomery_cmovznz_u64(&mut x218, x215, x210, x201);
489  let mut x219: u64 = 0;
490  fiat_secp256k1_montgomery_cmovznz_u64(&mut x219, x215, x212, x203);
491  out1[0] = x216;
492  out1[1] = x217;
493  out1[2] = x218;
494  out1[3] = x219;
495}
496
497/// The function fiat_secp256k1_montgomery_square squares a field element in the Montgomery domain.
498///
499/// Preconditions:
500///   0 ≤ eval arg1 < m
501/// Postconditions:
502///   eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
503///   0 ≤ eval out1 < m
504///
505#[inline]
506pub fn fiat_secp256k1_montgomery_square(out1: &mut fiat_secp256k1_montgomery_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_montgomery_domain_field_element) {
507  let x1: u64 = (arg1[1]);
508  let x2: u64 = (arg1[2]);
509  let x3: u64 = (arg1[3]);
510  let x4: u64 = (arg1[0]);
511  let mut x5: u64 = 0;
512  let mut x6: u64 = 0;
513  fiat_secp256k1_montgomery_mulx_u64(&mut x5, &mut x6, x4, (arg1[3]));
514  let mut x7: u64 = 0;
515  let mut x8: u64 = 0;
516  fiat_secp256k1_montgomery_mulx_u64(&mut x7, &mut x8, x4, (arg1[2]));
517  let mut x9: u64 = 0;
518  let mut x10: u64 = 0;
519  fiat_secp256k1_montgomery_mulx_u64(&mut x9, &mut x10, x4, (arg1[1]));
520  let mut x11: u64 = 0;
521  let mut x12: u64 = 0;
522  fiat_secp256k1_montgomery_mulx_u64(&mut x11, &mut x12, x4, (arg1[0]));
523  let mut x13: u64 = 0;
524  let mut x14: fiat_secp256k1_montgomery_u1 = 0;
525  fiat_secp256k1_montgomery_addcarryx_u64(&mut x13, &mut x14, 0x0, x12, x9);
526  let mut x15: u64 = 0;
527  let mut x16: fiat_secp256k1_montgomery_u1 = 0;
528  fiat_secp256k1_montgomery_addcarryx_u64(&mut x15, &mut x16, x14, x10, x7);
529  let mut x17: u64 = 0;
530  let mut x18: fiat_secp256k1_montgomery_u1 = 0;
531  fiat_secp256k1_montgomery_addcarryx_u64(&mut x17, &mut x18, x16, x8, x5);
532  let x19: u64 = ((x18 as u64) + x6);
533  let mut x20: u64 = 0;
534  let mut x21: u64 = 0;
535  fiat_secp256k1_montgomery_mulx_u64(&mut x20, &mut x21, x11, 0xd838091dd2253531);
536  let mut x22: u64 = 0;
537  let mut x23: u64 = 0;
538  fiat_secp256k1_montgomery_mulx_u64(&mut x22, &mut x23, x20, 0xffffffffffffffff);
539  let mut x24: u64 = 0;
540  let mut x25: u64 = 0;
541  fiat_secp256k1_montgomery_mulx_u64(&mut x24, &mut x25, x20, 0xffffffffffffffff);
542  let mut x26: u64 = 0;
543  let mut x27: u64 = 0;
544  fiat_secp256k1_montgomery_mulx_u64(&mut x26, &mut x27, x20, 0xffffffffffffffff);
545  let mut x28: u64 = 0;
546  let mut x29: u64 = 0;
547  fiat_secp256k1_montgomery_mulx_u64(&mut x28, &mut x29, x20, 0xfffffffefffffc2f);
548  let mut x30: u64 = 0;
549  let mut x31: fiat_secp256k1_montgomery_u1 = 0;
550  fiat_secp256k1_montgomery_addcarryx_u64(&mut x30, &mut x31, 0x0, x29, x26);
551  let mut x32: u64 = 0;
552  let mut x33: fiat_secp256k1_montgomery_u1 = 0;
553  fiat_secp256k1_montgomery_addcarryx_u64(&mut x32, &mut x33, x31, x27, x24);
554  let mut x34: u64 = 0;
555  let mut x35: fiat_secp256k1_montgomery_u1 = 0;
556  fiat_secp256k1_montgomery_addcarryx_u64(&mut x34, &mut x35, x33, x25, x22);
557  let x36: u64 = ((x35 as u64) + x23);
558  let mut x37: u64 = 0;
559  let mut x38: fiat_secp256k1_montgomery_u1 = 0;
560  fiat_secp256k1_montgomery_addcarryx_u64(&mut x37, &mut x38, 0x0, x11, x28);
561  let mut x39: u64 = 0;
562  let mut x40: fiat_secp256k1_montgomery_u1 = 0;
563  fiat_secp256k1_montgomery_addcarryx_u64(&mut x39, &mut x40, x38, x13, x30);
564  let mut x41: u64 = 0;
565  let mut x42: fiat_secp256k1_montgomery_u1 = 0;
566  fiat_secp256k1_montgomery_addcarryx_u64(&mut x41, &mut x42, x40, x15, x32);
567  let mut x43: u64 = 0;
568  let mut x44: fiat_secp256k1_montgomery_u1 = 0;
569  fiat_secp256k1_montgomery_addcarryx_u64(&mut x43, &mut x44, x42, x17, x34);
570  let mut x45: u64 = 0;
571  let mut x46: fiat_secp256k1_montgomery_u1 = 0;
572  fiat_secp256k1_montgomery_addcarryx_u64(&mut x45, &mut x46, x44, x19, x36);
573  let mut x47: u64 = 0;
574  let mut x48: u64 = 0;
575  fiat_secp256k1_montgomery_mulx_u64(&mut x47, &mut x48, x1, (arg1[3]));
576  let mut x49: u64 = 0;
577  let mut x50: u64 = 0;
578  fiat_secp256k1_montgomery_mulx_u64(&mut x49, &mut x50, x1, (arg1[2]));
579  let mut x51: u64 = 0;
580  let mut x52: u64 = 0;
581  fiat_secp256k1_montgomery_mulx_u64(&mut x51, &mut x52, x1, (arg1[1]));
582  let mut x53: u64 = 0;
583  let mut x54: u64 = 0;
584  fiat_secp256k1_montgomery_mulx_u64(&mut x53, &mut x54, x1, (arg1[0]));
585  let mut x55: u64 = 0;
586  let mut x56: fiat_secp256k1_montgomery_u1 = 0;
587  fiat_secp256k1_montgomery_addcarryx_u64(&mut x55, &mut x56, 0x0, x54, x51);
588  let mut x57: u64 = 0;
589  let mut x58: fiat_secp256k1_montgomery_u1 = 0;
590  fiat_secp256k1_montgomery_addcarryx_u64(&mut x57, &mut x58, x56, x52, x49);
591  let mut x59: u64 = 0;
592  let mut x60: fiat_secp256k1_montgomery_u1 = 0;
593  fiat_secp256k1_montgomery_addcarryx_u64(&mut x59, &mut x60, x58, x50, x47);
594  let x61: u64 = ((x60 as u64) + x48);
595  let mut x62: u64 = 0;
596  let mut x63: fiat_secp256k1_montgomery_u1 = 0;
597  fiat_secp256k1_montgomery_addcarryx_u64(&mut x62, &mut x63, 0x0, x39, x53);
598  let mut x64: u64 = 0;
599  let mut x65: fiat_secp256k1_montgomery_u1 = 0;
600  fiat_secp256k1_montgomery_addcarryx_u64(&mut x64, &mut x65, x63, x41, x55);
601  let mut x66: u64 = 0;
602  let mut x67: fiat_secp256k1_montgomery_u1 = 0;
603  fiat_secp256k1_montgomery_addcarryx_u64(&mut x66, &mut x67, x65, x43, x57);
604  let mut x68: u64 = 0;
605  let mut x69: fiat_secp256k1_montgomery_u1 = 0;
606  fiat_secp256k1_montgomery_addcarryx_u64(&mut x68, &mut x69, x67, x45, x59);
607  let mut x70: u64 = 0;
608  let mut x71: fiat_secp256k1_montgomery_u1 = 0;
609  fiat_secp256k1_montgomery_addcarryx_u64(&mut x70, &mut x71, x69, (x46 as u64), x61);
610  let mut x72: u64 = 0;
611  let mut x73: u64 = 0;
612  fiat_secp256k1_montgomery_mulx_u64(&mut x72, &mut x73, x62, 0xd838091dd2253531);
613  let mut x74: u64 = 0;
614  let mut x75: u64 = 0;
615  fiat_secp256k1_montgomery_mulx_u64(&mut x74, &mut x75, x72, 0xffffffffffffffff);
616  let mut x76: u64 = 0;
617  let mut x77: u64 = 0;
618  fiat_secp256k1_montgomery_mulx_u64(&mut x76, &mut x77, x72, 0xffffffffffffffff);
619  let mut x78: u64 = 0;
620  let mut x79: u64 = 0;
621  fiat_secp256k1_montgomery_mulx_u64(&mut x78, &mut x79, x72, 0xffffffffffffffff);
622  let mut x80: u64 = 0;
623  let mut x81: u64 = 0;
624  fiat_secp256k1_montgomery_mulx_u64(&mut x80, &mut x81, x72, 0xfffffffefffffc2f);
625  let mut x82: u64 = 0;
626  let mut x83: fiat_secp256k1_montgomery_u1 = 0;
627  fiat_secp256k1_montgomery_addcarryx_u64(&mut x82, &mut x83, 0x0, x81, x78);
628  let mut x84: u64 = 0;
629  let mut x85: fiat_secp256k1_montgomery_u1 = 0;
630  fiat_secp256k1_montgomery_addcarryx_u64(&mut x84, &mut x85, x83, x79, x76);
631  let mut x86: u64 = 0;
632  let mut x87: fiat_secp256k1_montgomery_u1 = 0;
633  fiat_secp256k1_montgomery_addcarryx_u64(&mut x86, &mut x87, x85, x77, x74);
634  let x88: u64 = ((x87 as u64) + x75);
635  let mut x89: u64 = 0;
636  let mut x90: fiat_secp256k1_montgomery_u1 = 0;
637  fiat_secp256k1_montgomery_addcarryx_u64(&mut x89, &mut x90, 0x0, x62, x80);
638  let mut x91: u64 = 0;
639  let mut x92: fiat_secp256k1_montgomery_u1 = 0;
640  fiat_secp256k1_montgomery_addcarryx_u64(&mut x91, &mut x92, x90, x64, x82);
641  let mut x93: u64 = 0;
642  let mut x94: fiat_secp256k1_montgomery_u1 = 0;
643  fiat_secp256k1_montgomery_addcarryx_u64(&mut x93, &mut x94, x92, x66, x84);
644  let mut x95: u64 = 0;
645  let mut x96: fiat_secp256k1_montgomery_u1 = 0;
646  fiat_secp256k1_montgomery_addcarryx_u64(&mut x95, &mut x96, x94, x68, x86);
647  let mut x97: u64 = 0;
648  let mut x98: fiat_secp256k1_montgomery_u1 = 0;
649  fiat_secp256k1_montgomery_addcarryx_u64(&mut x97, &mut x98, x96, x70, x88);
650  let x99: u64 = ((x98 as u64) + (x71 as u64));
651  let mut x100: u64 = 0;
652  let mut x101: u64 = 0;
653  fiat_secp256k1_montgomery_mulx_u64(&mut x100, &mut x101, x2, (arg1[3]));
654  let mut x102: u64 = 0;
655  let mut x103: u64 = 0;
656  fiat_secp256k1_montgomery_mulx_u64(&mut x102, &mut x103, x2, (arg1[2]));
657  let mut x104: u64 = 0;
658  let mut x105: u64 = 0;
659  fiat_secp256k1_montgomery_mulx_u64(&mut x104, &mut x105, x2, (arg1[1]));
660  let mut x106: u64 = 0;
661  let mut x107: u64 = 0;
662  fiat_secp256k1_montgomery_mulx_u64(&mut x106, &mut x107, x2, (arg1[0]));
663  let mut x108: u64 = 0;
664  let mut x109: fiat_secp256k1_montgomery_u1 = 0;
665  fiat_secp256k1_montgomery_addcarryx_u64(&mut x108, &mut x109, 0x0, x107, x104);
666  let mut x110: u64 = 0;
667  let mut x111: fiat_secp256k1_montgomery_u1 = 0;
668  fiat_secp256k1_montgomery_addcarryx_u64(&mut x110, &mut x111, x109, x105, x102);
669  let mut x112: u64 = 0;
670  let mut x113: fiat_secp256k1_montgomery_u1 = 0;
671  fiat_secp256k1_montgomery_addcarryx_u64(&mut x112, &mut x113, x111, x103, x100);
672  let x114: u64 = ((x113 as u64) + x101);
673  let mut x115: u64 = 0;
674  let mut x116: fiat_secp256k1_montgomery_u1 = 0;
675  fiat_secp256k1_montgomery_addcarryx_u64(&mut x115, &mut x116, 0x0, x91, x106);
676  let mut x117: u64 = 0;
677  let mut x118: fiat_secp256k1_montgomery_u1 = 0;
678  fiat_secp256k1_montgomery_addcarryx_u64(&mut x117, &mut x118, x116, x93, x108);
679  let mut x119: u64 = 0;
680  let mut x120: fiat_secp256k1_montgomery_u1 = 0;
681  fiat_secp256k1_montgomery_addcarryx_u64(&mut x119, &mut x120, x118, x95, x110);
682  let mut x121: u64 = 0;
683  let mut x122: fiat_secp256k1_montgomery_u1 = 0;
684  fiat_secp256k1_montgomery_addcarryx_u64(&mut x121, &mut x122, x120, x97, x112);
685  let mut x123: u64 = 0;
686  let mut x124: fiat_secp256k1_montgomery_u1 = 0;
687  fiat_secp256k1_montgomery_addcarryx_u64(&mut x123, &mut x124, x122, x99, x114);
688  let mut x125: u64 = 0;
689  let mut x126: u64 = 0;
690  fiat_secp256k1_montgomery_mulx_u64(&mut x125, &mut x126, x115, 0xd838091dd2253531);
691  let mut x127: u64 = 0;
692  let mut x128: u64 = 0;
693  fiat_secp256k1_montgomery_mulx_u64(&mut x127, &mut x128, x125, 0xffffffffffffffff);
694  let mut x129: u64 = 0;
695  let mut x130: u64 = 0;
696  fiat_secp256k1_montgomery_mulx_u64(&mut x129, &mut x130, x125, 0xffffffffffffffff);
697  let mut x131: u64 = 0;
698  let mut x132: u64 = 0;
699  fiat_secp256k1_montgomery_mulx_u64(&mut x131, &mut x132, x125, 0xffffffffffffffff);
700  let mut x133: u64 = 0;
701  let mut x134: u64 = 0;
702  fiat_secp256k1_montgomery_mulx_u64(&mut x133, &mut x134, x125, 0xfffffffefffffc2f);
703  let mut x135: u64 = 0;
704  let mut x136: fiat_secp256k1_montgomery_u1 = 0;
705  fiat_secp256k1_montgomery_addcarryx_u64(&mut x135, &mut x136, 0x0, x134, x131);
706  let mut x137: u64 = 0;
707  let mut x138: fiat_secp256k1_montgomery_u1 = 0;
708  fiat_secp256k1_montgomery_addcarryx_u64(&mut x137, &mut x138, x136, x132, x129);
709  let mut x139: u64 = 0;
710  let mut x140: fiat_secp256k1_montgomery_u1 = 0;
711  fiat_secp256k1_montgomery_addcarryx_u64(&mut x139, &mut x140, x138, x130, x127);
712  let x141: u64 = ((x140 as u64) + x128);
713  let mut x142: u64 = 0;
714  let mut x143: fiat_secp256k1_montgomery_u1 = 0;
715  fiat_secp256k1_montgomery_addcarryx_u64(&mut x142, &mut x143, 0x0, x115, x133);
716  let mut x144: u64 = 0;
717  let mut x145: fiat_secp256k1_montgomery_u1 = 0;
718  fiat_secp256k1_montgomery_addcarryx_u64(&mut x144, &mut x145, x143, x117, x135);
719  let mut x146: u64 = 0;
720  let mut x147: fiat_secp256k1_montgomery_u1 = 0;
721  fiat_secp256k1_montgomery_addcarryx_u64(&mut x146, &mut x147, x145, x119, x137);
722  let mut x148: u64 = 0;
723  let mut x149: fiat_secp256k1_montgomery_u1 = 0;
724  fiat_secp256k1_montgomery_addcarryx_u64(&mut x148, &mut x149, x147, x121, x139);
725  let mut x150: u64 = 0;
726  let mut x151: fiat_secp256k1_montgomery_u1 = 0;
727  fiat_secp256k1_montgomery_addcarryx_u64(&mut x150, &mut x151, x149, x123, x141);
728  let x152: u64 = ((x151 as u64) + (x124 as u64));
729  let mut x153: u64 = 0;
730  let mut x154: u64 = 0;
731  fiat_secp256k1_montgomery_mulx_u64(&mut x153, &mut x154, x3, (arg1[3]));
732  let mut x155: u64 = 0;
733  let mut x156: u64 = 0;
734  fiat_secp256k1_montgomery_mulx_u64(&mut x155, &mut x156, x3, (arg1[2]));
735  let mut x157: u64 = 0;
736  let mut x158: u64 = 0;
737  fiat_secp256k1_montgomery_mulx_u64(&mut x157, &mut x158, x3, (arg1[1]));
738  let mut x159: u64 = 0;
739  let mut x160: u64 = 0;
740  fiat_secp256k1_montgomery_mulx_u64(&mut x159, &mut x160, x3, (arg1[0]));
741  let mut x161: u64 = 0;
742  let mut x162: fiat_secp256k1_montgomery_u1 = 0;
743  fiat_secp256k1_montgomery_addcarryx_u64(&mut x161, &mut x162, 0x0, x160, x157);
744  let mut x163: u64 = 0;
745  let mut x164: fiat_secp256k1_montgomery_u1 = 0;
746  fiat_secp256k1_montgomery_addcarryx_u64(&mut x163, &mut x164, x162, x158, x155);
747  let mut x165: u64 = 0;
748  let mut x166: fiat_secp256k1_montgomery_u1 = 0;
749  fiat_secp256k1_montgomery_addcarryx_u64(&mut x165, &mut x166, x164, x156, x153);
750  let x167: u64 = ((x166 as u64) + x154);
751  let mut x168: u64 = 0;
752  let mut x169: fiat_secp256k1_montgomery_u1 = 0;
753  fiat_secp256k1_montgomery_addcarryx_u64(&mut x168, &mut x169, 0x0, x144, x159);
754  let mut x170: u64 = 0;
755  let mut x171: fiat_secp256k1_montgomery_u1 = 0;
756  fiat_secp256k1_montgomery_addcarryx_u64(&mut x170, &mut x171, x169, x146, x161);
757  let mut x172: u64 = 0;
758  let mut x173: fiat_secp256k1_montgomery_u1 = 0;
759  fiat_secp256k1_montgomery_addcarryx_u64(&mut x172, &mut x173, x171, x148, x163);
760  let mut x174: u64 = 0;
761  let mut x175: fiat_secp256k1_montgomery_u1 = 0;
762  fiat_secp256k1_montgomery_addcarryx_u64(&mut x174, &mut x175, x173, x150, x165);
763  let mut x176: u64 = 0;
764  let mut x177: fiat_secp256k1_montgomery_u1 = 0;
765  fiat_secp256k1_montgomery_addcarryx_u64(&mut x176, &mut x177, x175, x152, x167);
766  let mut x178: u64 = 0;
767  let mut x179: u64 = 0;
768  fiat_secp256k1_montgomery_mulx_u64(&mut x178, &mut x179, x168, 0xd838091dd2253531);
769  let mut x180: u64 = 0;
770  let mut x181: u64 = 0;
771  fiat_secp256k1_montgomery_mulx_u64(&mut x180, &mut x181, x178, 0xffffffffffffffff);
772  let mut x182: u64 = 0;
773  let mut x183: u64 = 0;
774  fiat_secp256k1_montgomery_mulx_u64(&mut x182, &mut x183, x178, 0xffffffffffffffff);
775  let mut x184: u64 = 0;
776  let mut x185: u64 = 0;
777  fiat_secp256k1_montgomery_mulx_u64(&mut x184, &mut x185, x178, 0xffffffffffffffff);
778  let mut x186: u64 = 0;
779  let mut x187: u64 = 0;
780  fiat_secp256k1_montgomery_mulx_u64(&mut x186, &mut x187, x178, 0xfffffffefffffc2f);
781  let mut x188: u64 = 0;
782  let mut x189: fiat_secp256k1_montgomery_u1 = 0;
783  fiat_secp256k1_montgomery_addcarryx_u64(&mut x188, &mut x189, 0x0, x187, x184);
784  let mut x190: u64 = 0;
785  let mut x191: fiat_secp256k1_montgomery_u1 = 0;
786  fiat_secp256k1_montgomery_addcarryx_u64(&mut x190, &mut x191, x189, x185, x182);
787  let mut x192: u64 = 0;
788  let mut x193: fiat_secp256k1_montgomery_u1 = 0;
789  fiat_secp256k1_montgomery_addcarryx_u64(&mut x192, &mut x193, x191, x183, x180);
790  let x194: u64 = ((x193 as u64) + x181);
791  let mut x195: u64 = 0;
792  let mut x196: fiat_secp256k1_montgomery_u1 = 0;
793  fiat_secp256k1_montgomery_addcarryx_u64(&mut x195, &mut x196, 0x0, x168, x186);
794  let mut x197: u64 = 0;
795  let mut x198: fiat_secp256k1_montgomery_u1 = 0;
796  fiat_secp256k1_montgomery_addcarryx_u64(&mut x197, &mut x198, x196, x170, x188);
797  let mut x199: u64 = 0;
798  let mut x200: fiat_secp256k1_montgomery_u1 = 0;
799  fiat_secp256k1_montgomery_addcarryx_u64(&mut x199, &mut x200, x198, x172, x190);
800  let mut x201: u64 = 0;
801  let mut x202: fiat_secp256k1_montgomery_u1 = 0;
802  fiat_secp256k1_montgomery_addcarryx_u64(&mut x201, &mut x202, x200, x174, x192);
803  let mut x203: u64 = 0;
804  let mut x204: fiat_secp256k1_montgomery_u1 = 0;
805  fiat_secp256k1_montgomery_addcarryx_u64(&mut x203, &mut x204, x202, x176, x194);
806  let x205: u64 = ((x204 as u64) + (x177 as u64));
807  let mut x206: u64 = 0;
808  let mut x207: fiat_secp256k1_montgomery_u1 = 0;
809  fiat_secp256k1_montgomery_subborrowx_u64(&mut x206, &mut x207, 0x0, x197, 0xfffffffefffffc2f);
810  let mut x208: u64 = 0;
811  let mut x209: fiat_secp256k1_montgomery_u1 = 0;
812  fiat_secp256k1_montgomery_subborrowx_u64(&mut x208, &mut x209, x207, x199, 0xffffffffffffffff);
813  let mut x210: u64 = 0;
814  let mut x211: fiat_secp256k1_montgomery_u1 = 0;
815  fiat_secp256k1_montgomery_subborrowx_u64(&mut x210, &mut x211, x209, x201, 0xffffffffffffffff);
816  let mut x212: u64 = 0;
817  let mut x213: fiat_secp256k1_montgomery_u1 = 0;
818  fiat_secp256k1_montgomery_subborrowx_u64(&mut x212, &mut x213, x211, x203, 0xffffffffffffffff);
819  let mut x214: u64 = 0;
820  let mut x215: fiat_secp256k1_montgomery_u1 = 0;
821  fiat_secp256k1_montgomery_subborrowx_u64(&mut x214, &mut x215, x213, x205, (0x0 as u64));
822  let mut x216: u64 = 0;
823  fiat_secp256k1_montgomery_cmovznz_u64(&mut x216, x215, x206, x197);
824  let mut x217: u64 = 0;
825  fiat_secp256k1_montgomery_cmovznz_u64(&mut x217, x215, x208, x199);
826  let mut x218: u64 = 0;
827  fiat_secp256k1_montgomery_cmovznz_u64(&mut x218, x215, x210, x201);
828  let mut x219: u64 = 0;
829  fiat_secp256k1_montgomery_cmovznz_u64(&mut x219, x215, x212, x203);
830  out1[0] = x216;
831  out1[1] = x217;
832  out1[2] = x218;
833  out1[3] = x219;
834}
835
836/// The function fiat_secp256k1_montgomery_add adds two field elements in the Montgomery domain.
837///
838/// Preconditions:
839///   0 ≤ eval arg1 < m
840///   0 ≤ eval arg2 < m
841/// Postconditions:
842///   eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
843///   0 ≤ eval out1 < m
844///
845#[inline]
846pub fn fiat_secp256k1_montgomery_add(out1: &mut fiat_secp256k1_montgomery_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_montgomery_domain_field_element, arg2: &fiat_secp256k1_montgomery_montgomery_domain_field_element) {
847  let mut x1: u64 = 0;
848  let mut x2: fiat_secp256k1_montgomery_u1 = 0;
849  fiat_secp256k1_montgomery_addcarryx_u64(&mut x1, &mut x2, 0x0, (arg1[0]), (arg2[0]));
850  let mut x3: u64 = 0;
851  let mut x4: fiat_secp256k1_montgomery_u1 = 0;
852  fiat_secp256k1_montgomery_addcarryx_u64(&mut x3, &mut x4, x2, (arg1[1]), (arg2[1]));
853  let mut x5: u64 = 0;
854  let mut x6: fiat_secp256k1_montgomery_u1 = 0;
855  fiat_secp256k1_montgomery_addcarryx_u64(&mut x5, &mut x6, x4, (arg1[2]), (arg2[2]));
856  let mut x7: u64 = 0;
857  let mut x8: fiat_secp256k1_montgomery_u1 = 0;
858  fiat_secp256k1_montgomery_addcarryx_u64(&mut x7, &mut x8, x6, (arg1[3]), (arg2[3]));
859  let mut x9: u64 = 0;
860  let mut x10: fiat_secp256k1_montgomery_u1 = 0;
861  fiat_secp256k1_montgomery_subborrowx_u64(&mut x9, &mut x10, 0x0, x1, 0xfffffffefffffc2f);
862  let mut x11: u64 = 0;
863  let mut x12: fiat_secp256k1_montgomery_u1 = 0;
864  fiat_secp256k1_montgomery_subborrowx_u64(&mut x11, &mut x12, x10, x3, 0xffffffffffffffff);
865  let mut x13: u64 = 0;
866  let mut x14: fiat_secp256k1_montgomery_u1 = 0;
867  fiat_secp256k1_montgomery_subborrowx_u64(&mut x13, &mut x14, x12, x5, 0xffffffffffffffff);
868  let mut x15: u64 = 0;
869  let mut x16: fiat_secp256k1_montgomery_u1 = 0;
870  fiat_secp256k1_montgomery_subborrowx_u64(&mut x15, &mut x16, x14, x7, 0xffffffffffffffff);
871  let mut x17: u64 = 0;
872  let mut x18: fiat_secp256k1_montgomery_u1 = 0;
873  fiat_secp256k1_montgomery_subborrowx_u64(&mut x17, &mut x18, x16, (x8 as u64), (0x0 as u64));
874  let mut x19: u64 = 0;
875  fiat_secp256k1_montgomery_cmovznz_u64(&mut x19, x18, x9, x1);
876  let mut x20: u64 = 0;
877  fiat_secp256k1_montgomery_cmovznz_u64(&mut x20, x18, x11, x3);
878  let mut x21: u64 = 0;
879  fiat_secp256k1_montgomery_cmovznz_u64(&mut x21, x18, x13, x5);
880  let mut x22: u64 = 0;
881  fiat_secp256k1_montgomery_cmovznz_u64(&mut x22, x18, x15, x7);
882  out1[0] = x19;
883  out1[1] = x20;
884  out1[2] = x21;
885  out1[3] = x22;
886}
887
888/// The function fiat_secp256k1_montgomery_sub subtracts two field elements in the Montgomery domain.
889///
890/// Preconditions:
891///   0 ≤ eval arg1 < m
892///   0 ≤ eval arg2 < m
893/// Postconditions:
894///   eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
895///   0 ≤ eval out1 < m
896///
897#[inline]
898pub fn fiat_secp256k1_montgomery_sub(out1: &mut fiat_secp256k1_montgomery_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_montgomery_domain_field_element, arg2: &fiat_secp256k1_montgomery_montgomery_domain_field_element) {
899  let mut x1: u64 = 0;
900  let mut x2: fiat_secp256k1_montgomery_u1 = 0;
901  fiat_secp256k1_montgomery_subborrowx_u64(&mut x1, &mut x2, 0x0, (arg1[0]), (arg2[0]));
902  let mut x3: u64 = 0;
903  let mut x4: fiat_secp256k1_montgomery_u1 = 0;
904  fiat_secp256k1_montgomery_subborrowx_u64(&mut x3, &mut x4, x2, (arg1[1]), (arg2[1]));
905  let mut x5: u64 = 0;
906  let mut x6: fiat_secp256k1_montgomery_u1 = 0;
907  fiat_secp256k1_montgomery_subborrowx_u64(&mut x5, &mut x6, x4, (arg1[2]), (arg2[2]));
908  let mut x7: u64 = 0;
909  let mut x8: fiat_secp256k1_montgomery_u1 = 0;
910  fiat_secp256k1_montgomery_subborrowx_u64(&mut x7, &mut x8, x6, (arg1[3]), (arg2[3]));
911  let mut x9: u64 = 0;
912  fiat_secp256k1_montgomery_cmovznz_u64(&mut x9, x8, (0x0 as u64), 0xffffffffffffffff);
913  let mut x10: u64 = 0;
914  let mut x11: fiat_secp256k1_montgomery_u1 = 0;
915  fiat_secp256k1_montgomery_addcarryx_u64(&mut x10, &mut x11, 0x0, x1, (x9 & 0xfffffffefffffc2f));
916  let mut x12: u64 = 0;
917  let mut x13: fiat_secp256k1_montgomery_u1 = 0;
918  fiat_secp256k1_montgomery_addcarryx_u64(&mut x12, &mut x13, x11, x3, x9);
919  let mut x14: u64 = 0;
920  let mut x15: fiat_secp256k1_montgomery_u1 = 0;
921  fiat_secp256k1_montgomery_addcarryx_u64(&mut x14, &mut x15, x13, x5, x9);
922  let mut x16: u64 = 0;
923  let mut x17: fiat_secp256k1_montgomery_u1 = 0;
924  fiat_secp256k1_montgomery_addcarryx_u64(&mut x16, &mut x17, x15, x7, x9);
925  out1[0] = x10;
926  out1[1] = x12;
927  out1[2] = x14;
928  out1[3] = x16;
929}
930
931/// The function fiat_secp256k1_montgomery_opp negates a field element in the Montgomery domain.
932///
933/// Preconditions:
934///   0 ≤ eval arg1 < m
935/// Postconditions:
936///   eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m
937///   0 ≤ eval out1 < m
938///
939#[inline]
940pub fn fiat_secp256k1_montgomery_opp(out1: &mut fiat_secp256k1_montgomery_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_montgomery_domain_field_element) {
941  let mut x1: u64 = 0;
942  let mut x2: fiat_secp256k1_montgomery_u1 = 0;
943  fiat_secp256k1_montgomery_subborrowx_u64(&mut x1, &mut x2, 0x0, (0x0 as u64), (arg1[0]));
944  let mut x3: u64 = 0;
945  let mut x4: fiat_secp256k1_montgomery_u1 = 0;
946  fiat_secp256k1_montgomery_subborrowx_u64(&mut x3, &mut x4, x2, (0x0 as u64), (arg1[1]));
947  let mut x5: u64 = 0;
948  let mut x6: fiat_secp256k1_montgomery_u1 = 0;
949  fiat_secp256k1_montgomery_subborrowx_u64(&mut x5, &mut x6, x4, (0x0 as u64), (arg1[2]));
950  let mut x7: u64 = 0;
951  let mut x8: fiat_secp256k1_montgomery_u1 = 0;
952  fiat_secp256k1_montgomery_subborrowx_u64(&mut x7, &mut x8, x6, (0x0 as u64), (arg1[3]));
953  let mut x9: u64 = 0;
954  fiat_secp256k1_montgomery_cmovznz_u64(&mut x9, x8, (0x0 as u64), 0xffffffffffffffff);
955  let mut x10: u64 = 0;
956  let mut x11: fiat_secp256k1_montgomery_u1 = 0;
957  fiat_secp256k1_montgomery_addcarryx_u64(&mut x10, &mut x11, 0x0, x1, (x9 & 0xfffffffefffffc2f));
958  let mut x12: u64 = 0;
959  let mut x13: fiat_secp256k1_montgomery_u1 = 0;
960  fiat_secp256k1_montgomery_addcarryx_u64(&mut x12, &mut x13, x11, x3, x9);
961  let mut x14: u64 = 0;
962  let mut x15: fiat_secp256k1_montgomery_u1 = 0;
963  fiat_secp256k1_montgomery_addcarryx_u64(&mut x14, &mut x15, x13, x5, x9);
964  let mut x16: u64 = 0;
965  let mut x17: fiat_secp256k1_montgomery_u1 = 0;
966  fiat_secp256k1_montgomery_addcarryx_u64(&mut x16, &mut x17, x15, x7, x9);
967  out1[0] = x10;
968  out1[1] = x12;
969  out1[2] = x14;
970  out1[3] = x16;
971}
972
973/// The function fiat_secp256k1_montgomery_from_montgomery translates a field element out of the Montgomery domain.
974///
975/// Preconditions:
976///   0 ≤ eval arg1 < m
977/// Postconditions:
978///   eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m
979///   0 ≤ eval out1 < m
980///
981#[inline]
982pub fn fiat_secp256k1_montgomery_from_montgomery(out1: &mut fiat_secp256k1_montgomery_non_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_montgomery_domain_field_element) {
983  let x1: u64 = (arg1[0]);
984  let mut x2: u64 = 0;
985  let mut x3: u64 = 0;
986  fiat_secp256k1_montgomery_mulx_u64(&mut x2, &mut x3, x1, 0xd838091dd2253531);
987  let mut x4: u64 = 0;
988  let mut x5: u64 = 0;
989  fiat_secp256k1_montgomery_mulx_u64(&mut x4, &mut x5, x2, 0xffffffffffffffff);
990  let mut x6: u64 = 0;
991  let mut x7: u64 = 0;
992  fiat_secp256k1_montgomery_mulx_u64(&mut x6, &mut x7, x2, 0xffffffffffffffff);
993  let mut x8: u64 = 0;
994  let mut x9: u64 = 0;
995  fiat_secp256k1_montgomery_mulx_u64(&mut x8, &mut x9, x2, 0xffffffffffffffff);
996  let mut x10: u64 = 0;
997  let mut x11: u64 = 0;
998  fiat_secp256k1_montgomery_mulx_u64(&mut x10, &mut x11, x2, 0xfffffffefffffc2f);
999  let mut x12: u64 = 0;
1000  let mut x13: fiat_secp256k1_montgomery_u1 = 0;
1001  fiat_secp256k1_montgomery_addcarryx_u64(&mut x12, &mut x13, 0x0, x11, x8);
1002  let mut x14: u64 = 0;
1003  let mut x15: fiat_secp256k1_montgomery_u1 = 0;
1004  fiat_secp256k1_montgomery_addcarryx_u64(&mut x14, &mut x15, x13, x9, x6);
1005  let mut x16: u64 = 0;
1006  let mut x17: fiat_secp256k1_montgomery_u1 = 0;
1007  fiat_secp256k1_montgomery_addcarryx_u64(&mut x16, &mut x17, x15, x7, x4);
1008  let mut x18: u64 = 0;
1009  let mut x19: fiat_secp256k1_montgomery_u1 = 0;
1010  fiat_secp256k1_montgomery_addcarryx_u64(&mut x18, &mut x19, 0x0, x1, x10);
1011  let mut x20: u64 = 0;
1012  let mut x21: fiat_secp256k1_montgomery_u1 = 0;
1013  fiat_secp256k1_montgomery_addcarryx_u64(&mut x20, &mut x21, x19, (0x0 as u64), x12);
1014  let mut x22: u64 = 0;
1015  let mut x23: fiat_secp256k1_montgomery_u1 = 0;
1016  fiat_secp256k1_montgomery_addcarryx_u64(&mut x22, &mut x23, x21, (0x0 as u64), x14);
1017  let mut x24: u64 = 0;
1018  let mut x25: fiat_secp256k1_montgomery_u1 = 0;
1019  fiat_secp256k1_montgomery_addcarryx_u64(&mut x24, &mut x25, x23, (0x0 as u64), x16);
1020  let mut x26: u64 = 0;
1021  let mut x27: fiat_secp256k1_montgomery_u1 = 0;
1022  fiat_secp256k1_montgomery_addcarryx_u64(&mut x26, &mut x27, x25, (0x0 as u64), ((x17 as u64) + x5));
1023  let mut x28: u64 = 0;
1024  let mut x29: fiat_secp256k1_montgomery_u1 = 0;
1025  fiat_secp256k1_montgomery_addcarryx_u64(&mut x28, &mut x29, 0x0, x20, (arg1[1]));
1026  let mut x30: u64 = 0;
1027  let mut x31: fiat_secp256k1_montgomery_u1 = 0;
1028  fiat_secp256k1_montgomery_addcarryx_u64(&mut x30, &mut x31, x29, x22, (0x0 as u64));
1029  let mut x32: u64 = 0;
1030  let mut x33: fiat_secp256k1_montgomery_u1 = 0;
1031  fiat_secp256k1_montgomery_addcarryx_u64(&mut x32, &mut x33, x31, x24, (0x0 as u64));
1032  let mut x34: u64 = 0;
1033  let mut x35: fiat_secp256k1_montgomery_u1 = 0;
1034  fiat_secp256k1_montgomery_addcarryx_u64(&mut x34, &mut x35, x33, x26, (0x0 as u64));
1035  let mut x36: u64 = 0;
1036  let mut x37: u64 = 0;
1037  fiat_secp256k1_montgomery_mulx_u64(&mut x36, &mut x37, x28, 0xd838091dd2253531);
1038  let mut x38: u64 = 0;
1039  let mut x39: u64 = 0;
1040  fiat_secp256k1_montgomery_mulx_u64(&mut x38, &mut x39, x36, 0xffffffffffffffff);
1041  let mut x40: u64 = 0;
1042  let mut x41: u64 = 0;
1043  fiat_secp256k1_montgomery_mulx_u64(&mut x40, &mut x41, x36, 0xffffffffffffffff);
1044  let mut x42: u64 = 0;
1045  let mut x43: u64 = 0;
1046  fiat_secp256k1_montgomery_mulx_u64(&mut x42, &mut x43, x36, 0xffffffffffffffff);
1047  let mut x44: u64 = 0;
1048  let mut x45: u64 = 0;
1049  fiat_secp256k1_montgomery_mulx_u64(&mut x44, &mut x45, x36, 0xfffffffefffffc2f);
1050  let mut x46: u64 = 0;
1051  let mut x47: fiat_secp256k1_montgomery_u1 = 0;
1052  fiat_secp256k1_montgomery_addcarryx_u64(&mut x46, &mut x47, 0x0, x45, x42);
1053  let mut x48: u64 = 0;
1054  let mut x49: fiat_secp256k1_montgomery_u1 = 0;
1055  fiat_secp256k1_montgomery_addcarryx_u64(&mut x48, &mut x49, x47, x43, x40);
1056  let mut x50: u64 = 0;
1057  let mut x51: fiat_secp256k1_montgomery_u1 = 0;
1058  fiat_secp256k1_montgomery_addcarryx_u64(&mut x50, &mut x51, x49, x41, x38);
1059  let mut x52: u64 = 0;
1060  let mut x53: fiat_secp256k1_montgomery_u1 = 0;
1061  fiat_secp256k1_montgomery_addcarryx_u64(&mut x52, &mut x53, 0x0, x28, x44);
1062  let mut x54: u64 = 0;
1063  let mut x55: fiat_secp256k1_montgomery_u1 = 0;
1064  fiat_secp256k1_montgomery_addcarryx_u64(&mut x54, &mut x55, x53, x30, x46);
1065  let mut x56: u64 = 0;
1066  let mut x57: fiat_secp256k1_montgomery_u1 = 0;
1067  fiat_secp256k1_montgomery_addcarryx_u64(&mut x56, &mut x57, x55, x32, x48);
1068  let mut x58: u64 = 0;
1069  let mut x59: fiat_secp256k1_montgomery_u1 = 0;
1070  fiat_secp256k1_montgomery_addcarryx_u64(&mut x58, &mut x59, x57, x34, x50);
1071  let mut x60: u64 = 0;
1072  let mut x61: fiat_secp256k1_montgomery_u1 = 0;
1073  fiat_secp256k1_montgomery_addcarryx_u64(&mut x60, &mut x61, x59, ((x35 as u64) + (x27 as u64)), ((x51 as u64) + x39));
1074  let mut x62: u64 = 0;
1075  let mut x63: fiat_secp256k1_montgomery_u1 = 0;
1076  fiat_secp256k1_montgomery_addcarryx_u64(&mut x62, &mut x63, 0x0, x54, (arg1[2]));
1077  let mut x64: u64 = 0;
1078  let mut x65: fiat_secp256k1_montgomery_u1 = 0;
1079  fiat_secp256k1_montgomery_addcarryx_u64(&mut x64, &mut x65, x63, x56, (0x0 as u64));
1080  let mut x66: u64 = 0;
1081  let mut x67: fiat_secp256k1_montgomery_u1 = 0;
1082  fiat_secp256k1_montgomery_addcarryx_u64(&mut x66, &mut x67, x65, x58, (0x0 as u64));
1083  let mut x68: u64 = 0;
1084  let mut x69: fiat_secp256k1_montgomery_u1 = 0;
1085  fiat_secp256k1_montgomery_addcarryx_u64(&mut x68, &mut x69, x67, x60, (0x0 as u64));
1086  let mut x70: u64 = 0;
1087  let mut x71: u64 = 0;
1088  fiat_secp256k1_montgomery_mulx_u64(&mut x70, &mut x71, x62, 0xd838091dd2253531);
1089  let mut x72: u64 = 0;
1090  let mut x73: u64 = 0;
1091  fiat_secp256k1_montgomery_mulx_u64(&mut x72, &mut x73, x70, 0xffffffffffffffff);
1092  let mut x74: u64 = 0;
1093  let mut x75: u64 = 0;
1094  fiat_secp256k1_montgomery_mulx_u64(&mut x74, &mut x75, x70, 0xffffffffffffffff);
1095  let mut x76: u64 = 0;
1096  let mut x77: u64 = 0;
1097  fiat_secp256k1_montgomery_mulx_u64(&mut x76, &mut x77, x70, 0xffffffffffffffff);
1098  let mut x78: u64 = 0;
1099  let mut x79: u64 = 0;
1100  fiat_secp256k1_montgomery_mulx_u64(&mut x78, &mut x79, x70, 0xfffffffefffffc2f);
1101  let mut x80: u64 = 0;
1102  let mut x81: fiat_secp256k1_montgomery_u1 = 0;
1103  fiat_secp256k1_montgomery_addcarryx_u64(&mut x80, &mut x81, 0x0, x79, x76);
1104  let mut x82: u64 = 0;
1105  let mut x83: fiat_secp256k1_montgomery_u1 = 0;
1106  fiat_secp256k1_montgomery_addcarryx_u64(&mut x82, &mut x83, x81, x77, x74);
1107  let mut x84: u64 = 0;
1108  let mut x85: fiat_secp256k1_montgomery_u1 = 0;
1109  fiat_secp256k1_montgomery_addcarryx_u64(&mut x84, &mut x85, x83, x75, x72);
1110  let mut x86: u64 = 0;
1111  let mut x87: fiat_secp256k1_montgomery_u1 = 0;
1112  fiat_secp256k1_montgomery_addcarryx_u64(&mut x86, &mut x87, 0x0, x62, x78);
1113  let mut x88: u64 = 0;
1114  let mut x89: fiat_secp256k1_montgomery_u1 = 0;
1115  fiat_secp256k1_montgomery_addcarryx_u64(&mut x88, &mut x89, x87, x64, x80);
1116  let mut x90: u64 = 0;
1117  let mut x91: fiat_secp256k1_montgomery_u1 = 0;
1118  fiat_secp256k1_montgomery_addcarryx_u64(&mut x90, &mut x91, x89, x66, x82);
1119  let mut x92: u64 = 0;
1120  let mut x93: fiat_secp256k1_montgomery_u1 = 0;
1121  fiat_secp256k1_montgomery_addcarryx_u64(&mut x92, &mut x93, x91, x68, x84);
1122  let mut x94: u64 = 0;
1123  let mut x95: fiat_secp256k1_montgomery_u1 = 0;
1124  fiat_secp256k1_montgomery_addcarryx_u64(&mut x94, &mut x95, x93, ((x69 as u64) + (x61 as u64)), ((x85 as u64) + x73));
1125  let mut x96: u64 = 0;
1126  let mut x97: fiat_secp256k1_montgomery_u1 = 0;
1127  fiat_secp256k1_montgomery_addcarryx_u64(&mut x96, &mut x97, 0x0, x88, (arg1[3]));
1128  let mut x98: u64 = 0;
1129  let mut x99: fiat_secp256k1_montgomery_u1 = 0;
1130  fiat_secp256k1_montgomery_addcarryx_u64(&mut x98, &mut x99, x97, x90, (0x0 as u64));
1131  let mut x100: u64 = 0;
1132  let mut x101: fiat_secp256k1_montgomery_u1 = 0;
1133  fiat_secp256k1_montgomery_addcarryx_u64(&mut x100, &mut x101, x99, x92, (0x0 as u64));
1134  let mut x102: u64 = 0;
1135  let mut x103: fiat_secp256k1_montgomery_u1 = 0;
1136  fiat_secp256k1_montgomery_addcarryx_u64(&mut x102, &mut x103, x101, x94, (0x0 as u64));
1137  let mut x104: u64 = 0;
1138  let mut x105: u64 = 0;
1139  fiat_secp256k1_montgomery_mulx_u64(&mut x104, &mut x105, x96, 0xd838091dd2253531);
1140  let mut x106: u64 = 0;
1141  let mut x107: u64 = 0;
1142  fiat_secp256k1_montgomery_mulx_u64(&mut x106, &mut x107, x104, 0xffffffffffffffff);
1143  let mut x108: u64 = 0;
1144  let mut x109: u64 = 0;
1145  fiat_secp256k1_montgomery_mulx_u64(&mut x108, &mut x109, x104, 0xffffffffffffffff);
1146  let mut x110: u64 = 0;
1147  let mut x111: u64 = 0;
1148  fiat_secp256k1_montgomery_mulx_u64(&mut x110, &mut x111, x104, 0xffffffffffffffff);
1149  let mut x112: u64 = 0;
1150  let mut x113: u64 = 0;
1151  fiat_secp256k1_montgomery_mulx_u64(&mut x112, &mut x113, x104, 0xfffffffefffffc2f);
1152  let mut x114: u64 = 0;
1153  let mut x115: fiat_secp256k1_montgomery_u1 = 0;
1154  fiat_secp256k1_montgomery_addcarryx_u64(&mut x114, &mut x115, 0x0, x113, x110);
1155  let mut x116: u64 = 0;
1156  let mut x117: fiat_secp256k1_montgomery_u1 = 0;
1157  fiat_secp256k1_montgomery_addcarryx_u64(&mut x116, &mut x117, x115, x111, x108);
1158  let mut x118: u64 = 0;
1159  let mut x119: fiat_secp256k1_montgomery_u1 = 0;
1160  fiat_secp256k1_montgomery_addcarryx_u64(&mut x118, &mut x119, x117, x109, x106);
1161  let mut x120: u64 = 0;
1162  let mut x121: fiat_secp256k1_montgomery_u1 = 0;
1163  fiat_secp256k1_montgomery_addcarryx_u64(&mut x120, &mut x121, 0x0, x96, x112);
1164  let mut x122: u64 = 0;
1165  let mut x123: fiat_secp256k1_montgomery_u1 = 0;
1166  fiat_secp256k1_montgomery_addcarryx_u64(&mut x122, &mut x123, x121, x98, x114);
1167  let mut x124: u64 = 0;
1168  let mut x125: fiat_secp256k1_montgomery_u1 = 0;
1169  fiat_secp256k1_montgomery_addcarryx_u64(&mut x124, &mut x125, x123, x100, x116);
1170  let mut x126: u64 = 0;
1171  let mut x127: fiat_secp256k1_montgomery_u1 = 0;
1172  fiat_secp256k1_montgomery_addcarryx_u64(&mut x126, &mut x127, x125, x102, x118);
1173  let mut x128: u64 = 0;
1174  let mut x129: fiat_secp256k1_montgomery_u1 = 0;
1175  fiat_secp256k1_montgomery_addcarryx_u64(&mut x128, &mut x129, x127, ((x103 as u64) + (x95 as u64)), ((x119 as u64) + x107));
1176  let mut x130: u64 = 0;
1177  let mut x131: fiat_secp256k1_montgomery_u1 = 0;
1178  fiat_secp256k1_montgomery_subborrowx_u64(&mut x130, &mut x131, 0x0, x122, 0xfffffffefffffc2f);
1179  let mut x132: u64 = 0;
1180  let mut x133: fiat_secp256k1_montgomery_u1 = 0;
1181  fiat_secp256k1_montgomery_subborrowx_u64(&mut x132, &mut x133, x131, x124, 0xffffffffffffffff);
1182  let mut x134: u64 = 0;
1183  let mut x135: fiat_secp256k1_montgomery_u1 = 0;
1184  fiat_secp256k1_montgomery_subborrowx_u64(&mut x134, &mut x135, x133, x126, 0xffffffffffffffff);
1185  let mut x136: u64 = 0;
1186  let mut x137: fiat_secp256k1_montgomery_u1 = 0;
1187  fiat_secp256k1_montgomery_subborrowx_u64(&mut x136, &mut x137, x135, x128, 0xffffffffffffffff);
1188  let mut x138: u64 = 0;
1189  let mut x139: fiat_secp256k1_montgomery_u1 = 0;
1190  fiat_secp256k1_montgomery_subborrowx_u64(&mut x138, &mut x139, x137, (x129 as u64), (0x0 as u64));
1191  let mut x140: u64 = 0;
1192  fiat_secp256k1_montgomery_cmovznz_u64(&mut x140, x139, x130, x122);
1193  let mut x141: u64 = 0;
1194  fiat_secp256k1_montgomery_cmovznz_u64(&mut x141, x139, x132, x124);
1195  let mut x142: u64 = 0;
1196  fiat_secp256k1_montgomery_cmovznz_u64(&mut x142, x139, x134, x126);
1197  let mut x143: u64 = 0;
1198  fiat_secp256k1_montgomery_cmovznz_u64(&mut x143, x139, x136, x128);
1199  out1[0] = x140;
1200  out1[1] = x141;
1201  out1[2] = x142;
1202  out1[3] = x143;
1203}
1204
1205/// The function fiat_secp256k1_montgomery_to_montgomery translates a field element into the Montgomery domain.
1206///
1207/// Preconditions:
1208///   0 ≤ eval arg1 < m
1209/// Postconditions:
1210///   eval (from_montgomery out1) mod m = eval arg1 mod m
1211///   0 ≤ eval out1 < m
1212///
1213#[inline]
1214pub fn fiat_secp256k1_montgomery_to_montgomery(out1: &mut fiat_secp256k1_montgomery_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_non_montgomery_domain_field_element) {
1215  let x1: u64 = (arg1[1]);
1216  let x2: u64 = (arg1[2]);
1217  let x3: u64 = (arg1[3]);
1218  let x4: u64 = (arg1[0]);
1219  let mut x5: u64 = 0;
1220  let mut x6: u64 = 0;
1221  fiat_secp256k1_montgomery_mulx_u64(&mut x5, &mut x6, x4, 0x7a2000e90a1);
1222  let mut x7: u64 = 0;
1223  let mut x8: fiat_secp256k1_montgomery_u1 = 0;
1224  fiat_secp256k1_montgomery_addcarryx_u64(&mut x7, &mut x8, 0x0, x6, x4);
1225  let mut x9: u64 = 0;
1226  let mut x10: u64 = 0;
1227  fiat_secp256k1_montgomery_mulx_u64(&mut x9, &mut x10, x5, 0xd838091dd2253531);
1228  let mut x11: u64 = 0;
1229  let mut x12: u64 = 0;
1230  fiat_secp256k1_montgomery_mulx_u64(&mut x11, &mut x12, x9, 0xffffffffffffffff);
1231  let mut x13: u64 = 0;
1232  let mut x14: u64 = 0;
1233  fiat_secp256k1_montgomery_mulx_u64(&mut x13, &mut x14, x9, 0xffffffffffffffff);
1234  let mut x15: u64 = 0;
1235  let mut x16: u64 = 0;
1236  fiat_secp256k1_montgomery_mulx_u64(&mut x15, &mut x16, x9, 0xffffffffffffffff);
1237  let mut x17: u64 = 0;
1238  let mut x18: u64 = 0;
1239  fiat_secp256k1_montgomery_mulx_u64(&mut x17, &mut x18, x9, 0xfffffffefffffc2f);
1240  let mut x19: u64 = 0;
1241  let mut x20: fiat_secp256k1_montgomery_u1 = 0;
1242  fiat_secp256k1_montgomery_addcarryx_u64(&mut x19, &mut x20, 0x0, x18, x15);
1243  let mut x21: u64 = 0;
1244  let mut x22: fiat_secp256k1_montgomery_u1 = 0;
1245  fiat_secp256k1_montgomery_addcarryx_u64(&mut x21, &mut x22, x20, x16, x13);
1246  let mut x23: u64 = 0;
1247  let mut x24: fiat_secp256k1_montgomery_u1 = 0;
1248  fiat_secp256k1_montgomery_addcarryx_u64(&mut x23, &mut x24, x22, x14, x11);
1249  let mut x25: u64 = 0;
1250  let mut x26: fiat_secp256k1_montgomery_u1 = 0;
1251  fiat_secp256k1_montgomery_addcarryx_u64(&mut x25, &mut x26, 0x0, x5, x17);
1252  let mut x27: u64 = 0;
1253  let mut x28: fiat_secp256k1_montgomery_u1 = 0;
1254  fiat_secp256k1_montgomery_addcarryx_u64(&mut x27, &mut x28, x26, x7, x19);
1255  let mut x29: u64 = 0;
1256  let mut x30: fiat_secp256k1_montgomery_u1 = 0;
1257  fiat_secp256k1_montgomery_addcarryx_u64(&mut x29, &mut x30, x28, (x8 as u64), x21);
1258  let mut x31: u64 = 0;
1259  let mut x32: fiat_secp256k1_montgomery_u1 = 0;
1260  fiat_secp256k1_montgomery_addcarryx_u64(&mut x31, &mut x32, x30, (0x0 as u64), x23);
1261  let mut x33: u64 = 0;
1262  let mut x34: fiat_secp256k1_montgomery_u1 = 0;
1263  fiat_secp256k1_montgomery_addcarryx_u64(&mut x33, &mut x34, x32, (0x0 as u64), ((x24 as u64) + x12));
1264  let mut x35: u64 = 0;
1265  let mut x36: u64 = 0;
1266  fiat_secp256k1_montgomery_mulx_u64(&mut x35, &mut x36, x1, 0x7a2000e90a1);
1267  let mut x37: u64 = 0;
1268  let mut x38: fiat_secp256k1_montgomery_u1 = 0;
1269  fiat_secp256k1_montgomery_addcarryx_u64(&mut x37, &mut x38, 0x0, x36, x1);
1270  let mut x39: u64 = 0;
1271  let mut x40: fiat_secp256k1_montgomery_u1 = 0;
1272  fiat_secp256k1_montgomery_addcarryx_u64(&mut x39, &mut x40, 0x0, x27, x35);
1273  let mut x41: u64 = 0;
1274  let mut x42: fiat_secp256k1_montgomery_u1 = 0;
1275  fiat_secp256k1_montgomery_addcarryx_u64(&mut x41, &mut x42, x40, x29, x37);
1276  let mut x43: u64 = 0;
1277  let mut x44: fiat_secp256k1_montgomery_u1 = 0;
1278  fiat_secp256k1_montgomery_addcarryx_u64(&mut x43, &mut x44, x42, x31, (x38 as u64));
1279  let mut x45: u64 = 0;
1280  let mut x46: fiat_secp256k1_montgomery_u1 = 0;
1281  fiat_secp256k1_montgomery_addcarryx_u64(&mut x45, &mut x46, x44, x33, (0x0 as u64));
1282  let mut x47: u64 = 0;
1283  let mut x48: u64 = 0;
1284  fiat_secp256k1_montgomery_mulx_u64(&mut x47, &mut x48, x39, 0xd838091dd2253531);
1285  let mut x49: u64 = 0;
1286  let mut x50: u64 = 0;
1287  fiat_secp256k1_montgomery_mulx_u64(&mut x49, &mut x50, x47, 0xffffffffffffffff);
1288  let mut x51: u64 = 0;
1289  let mut x52: u64 = 0;
1290  fiat_secp256k1_montgomery_mulx_u64(&mut x51, &mut x52, x47, 0xffffffffffffffff);
1291  let mut x53: u64 = 0;
1292  let mut x54: u64 = 0;
1293  fiat_secp256k1_montgomery_mulx_u64(&mut x53, &mut x54, x47, 0xffffffffffffffff);
1294  let mut x55: u64 = 0;
1295  let mut x56: u64 = 0;
1296  fiat_secp256k1_montgomery_mulx_u64(&mut x55, &mut x56, x47, 0xfffffffefffffc2f);
1297  let mut x57: u64 = 0;
1298  let mut x58: fiat_secp256k1_montgomery_u1 = 0;
1299  fiat_secp256k1_montgomery_addcarryx_u64(&mut x57, &mut x58, 0x0, x56, x53);
1300  let mut x59: u64 = 0;
1301  let mut x60: fiat_secp256k1_montgomery_u1 = 0;
1302  fiat_secp256k1_montgomery_addcarryx_u64(&mut x59, &mut x60, x58, x54, x51);
1303  let mut x61: u64 = 0;
1304  let mut x62: fiat_secp256k1_montgomery_u1 = 0;
1305  fiat_secp256k1_montgomery_addcarryx_u64(&mut x61, &mut x62, x60, x52, x49);
1306  let mut x63: u64 = 0;
1307  let mut x64: fiat_secp256k1_montgomery_u1 = 0;
1308  fiat_secp256k1_montgomery_addcarryx_u64(&mut x63, &mut x64, 0x0, x39, x55);
1309  let mut x65: u64 = 0;
1310  let mut x66: fiat_secp256k1_montgomery_u1 = 0;
1311  fiat_secp256k1_montgomery_addcarryx_u64(&mut x65, &mut x66, x64, x41, x57);
1312  let mut x67: u64 = 0;
1313  let mut x68: fiat_secp256k1_montgomery_u1 = 0;
1314  fiat_secp256k1_montgomery_addcarryx_u64(&mut x67, &mut x68, x66, x43, x59);
1315  let mut x69: u64 = 0;
1316  let mut x70: fiat_secp256k1_montgomery_u1 = 0;
1317  fiat_secp256k1_montgomery_addcarryx_u64(&mut x69, &mut x70, x68, x45, x61);
1318  let mut x71: u64 = 0;
1319  let mut x72: fiat_secp256k1_montgomery_u1 = 0;
1320  fiat_secp256k1_montgomery_addcarryx_u64(&mut x71, &mut x72, x70, ((x46 as u64) + (x34 as u64)), ((x62 as u64) + x50));
1321  let mut x73: u64 = 0;
1322  let mut x74: u64 = 0;
1323  fiat_secp256k1_montgomery_mulx_u64(&mut x73, &mut x74, x2, 0x7a2000e90a1);
1324  let mut x75: u64 = 0;
1325  let mut x76: fiat_secp256k1_montgomery_u1 = 0;
1326  fiat_secp256k1_montgomery_addcarryx_u64(&mut x75, &mut x76, 0x0, x74, x2);
1327  let mut x77: u64 = 0;
1328  let mut x78: fiat_secp256k1_montgomery_u1 = 0;
1329  fiat_secp256k1_montgomery_addcarryx_u64(&mut x77, &mut x78, 0x0, x65, x73);
1330  let mut x79: u64 = 0;
1331  let mut x80: fiat_secp256k1_montgomery_u1 = 0;
1332  fiat_secp256k1_montgomery_addcarryx_u64(&mut x79, &mut x80, x78, x67, x75);
1333  let mut x81: u64 = 0;
1334  let mut x82: fiat_secp256k1_montgomery_u1 = 0;
1335  fiat_secp256k1_montgomery_addcarryx_u64(&mut x81, &mut x82, x80, x69, (x76 as u64));
1336  let mut x83: u64 = 0;
1337  let mut x84: fiat_secp256k1_montgomery_u1 = 0;
1338  fiat_secp256k1_montgomery_addcarryx_u64(&mut x83, &mut x84, x82, x71, (0x0 as u64));
1339  let mut x85: u64 = 0;
1340  let mut x86: u64 = 0;
1341  fiat_secp256k1_montgomery_mulx_u64(&mut x85, &mut x86, x77, 0xd838091dd2253531);
1342  let mut x87: u64 = 0;
1343  let mut x88: u64 = 0;
1344  fiat_secp256k1_montgomery_mulx_u64(&mut x87, &mut x88, x85, 0xffffffffffffffff);
1345  let mut x89: u64 = 0;
1346  let mut x90: u64 = 0;
1347  fiat_secp256k1_montgomery_mulx_u64(&mut x89, &mut x90, x85, 0xffffffffffffffff);
1348  let mut x91: u64 = 0;
1349  let mut x92: u64 = 0;
1350  fiat_secp256k1_montgomery_mulx_u64(&mut x91, &mut x92, x85, 0xffffffffffffffff);
1351  let mut x93: u64 = 0;
1352  let mut x94: u64 = 0;
1353  fiat_secp256k1_montgomery_mulx_u64(&mut x93, &mut x94, x85, 0xfffffffefffffc2f);
1354  let mut x95: u64 = 0;
1355  let mut x96: fiat_secp256k1_montgomery_u1 = 0;
1356  fiat_secp256k1_montgomery_addcarryx_u64(&mut x95, &mut x96, 0x0, x94, x91);
1357  let mut x97: u64 = 0;
1358  let mut x98: fiat_secp256k1_montgomery_u1 = 0;
1359  fiat_secp256k1_montgomery_addcarryx_u64(&mut x97, &mut x98, x96, x92, x89);
1360  let mut x99: u64 = 0;
1361  let mut x100: fiat_secp256k1_montgomery_u1 = 0;
1362  fiat_secp256k1_montgomery_addcarryx_u64(&mut x99, &mut x100, x98, x90, x87);
1363  let mut x101: u64 = 0;
1364  let mut x102: fiat_secp256k1_montgomery_u1 = 0;
1365  fiat_secp256k1_montgomery_addcarryx_u64(&mut x101, &mut x102, 0x0, x77, x93);
1366  let mut x103: u64 = 0;
1367  let mut x104: fiat_secp256k1_montgomery_u1 = 0;
1368  fiat_secp256k1_montgomery_addcarryx_u64(&mut x103, &mut x104, x102, x79, x95);
1369  let mut x105: u64 = 0;
1370  let mut x106: fiat_secp256k1_montgomery_u1 = 0;
1371  fiat_secp256k1_montgomery_addcarryx_u64(&mut x105, &mut x106, x104, x81, x97);
1372  let mut x107: u64 = 0;
1373  let mut x108: fiat_secp256k1_montgomery_u1 = 0;
1374  fiat_secp256k1_montgomery_addcarryx_u64(&mut x107, &mut x108, x106, x83, x99);
1375  let mut x109: u64 = 0;
1376  let mut x110: fiat_secp256k1_montgomery_u1 = 0;
1377  fiat_secp256k1_montgomery_addcarryx_u64(&mut x109, &mut x110, x108, ((x84 as u64) + (x72 as u64)), ((x100 as u64) + x88));
1378  let mut x111: u64 = 0;
1379  let mut x112: u64 = 0;
1380  fiat_secp256k1_montgomery_mulx_u64(&mut x111, &mut x112, x3, 0x7a2000e90a1);
1381  let mut x113: u64 = 0;
1382  let mut x114: fiat_secp256k1_montgomery_u1 = 0;
1383  fiat_secp256k1_montgomery_addcarryx_u64(&mut x113, &mut x114, 0x0, x112, x3);
1384  let mut x115: u64 = 0;
1385  let mut x116: fiat_secp256k1_montgomery_u1 = 0;
1386  fiat_secp256k1_montgomery_addcarryx_u64(&mut x115, &mut x116, 0x0, x103, x111);
1387  let mut x117: u64 = 0;
1388  let mut x118: fiat_secp256k1_montgomery_u1 = 0;
1389  fiat_secp256k1_montgomery_addcarryx_u64(&mut x117, &mut x118, x116, x105, x113);
1390  let mut x119: u64 = 0;
1391  let mut x120: fiat_secp256k1_montgomery_u1 = 0;
1392  fiat_secp256k1_montgomery_addcarryx_u64(&mut x119, &mut x120, x118, x107, (x114 as u64));
1393  let mut x121: u64 = 0;
1394  let mut x122: fiat_secp256k1_montgomery_u1 = 0;
1395  fiat_secp256k1_montgomery_addcarryx_u64(&mut x121, &mut x122, x120, x109, (0x0 as u64));
1396  let mut x123: u64 = 0;
1397  let mut x124: u64 = 0;
1398  fiat_secp256k1_montgomery_mulx_u64(&mut x123, &mut x124, x115, 0xd838091dd2253531);
1399  let mut x125: u64 = 0;
1400  let mut x126: u64 = 0;
1401  fiat_secp256k1_montgomery_mulx_u64(&mut x125, &mut x126, x123, 0xffffffffffffffff);
1402  let mut x127: u64 = 0;
1403  let mut x128: u64 = 0;
1404  fiat_secp256k1_montgomery_mulx_u64(&mut x127, &mut x128, x123, 0xffffffffffffffff);
1405  let mut x129: u64 = 0;
1406  let mut x130: u64 = 0;
1407  fiat_secp256k1_montgomery_mulx_u64(&mut x129, &mut x130, x123, 0xffffffffffffffff);
1408  let mut x131: u64 = 0;
1409  let mut x132: u64 = 0;
1410  fiat_secp256k1_montgomery_mulx_u64(&mut x131, &mut x132, x123, 0xfffffffefffffc2f);
1411  let mut x133: u64 = 0;
1412  let mut x134: fiat_secp256k1_montgomery_u1 = 0;
1413  fiat_secp256k1_montgomery_addcarryx_u64(&mut x133, &mut x134, 0x0, x132, x129);
1414  let mut x135: u64 = 0;
1415  let mut x136: fiat_secp256k1_montgomery_u1 = 0;
1416  fiat_secp256k1_montgomery_addcarryx_u64(&mut x135, &mut x136, x134, x130, x127);
1417  let mut x137: u64 = 0;
1418  let mut x138: fiat_secp256k1_montgomery_u1 = 0;
1419  fiat_secp256k1_montgomery_addcarryx_u64(&mut x137, &mut x138, x136, x128, x125);
1420  let mut x139: u64 = 0;
1421  let mut x140: fiat_secp256k1_montgomery_u1 = 0;
1422  fiat_secp256k1_montgomery_addcarryx_u64(&mut x139, &mut x140, 0x0, x115, x131);
1423  let mut x141: u64 = 0;
1424  let mut x142: fiat_secp256k1_montgomery_u1 = 0;
1425  fiat_secp256k1_montgomery_addcarryx_u64(&mut x141, &mut x142, x140, x117, x133);
1426  let mut x143: u64 = 0;
1427  let mut x144: fiat_secp256k1_montgomery_u1 = 0;
1428  fiat_secp256k1_montgomery_addcarryx_u64(&mut x143, &mut x144, x142, x119, x135);
1429  let mut x145: u64 = 0;
1430  let mut x146: fiat_secp256k1_montgomery_u1 = 0;
1431  fiat_secp256k1_montgomery_addcarryx_u64(&mut x145, &mut x146, x144, x121, x137);
1432  let mut x147: u64 = 0;
1433  let mut x148: fiat_secp256k1_montgomery_u1 = 0;
1434  fiat_secp256k1_montgomery_addcarryx_u64(&mut x147, &mut x148, x146, ((x122 as u64) + (x110 as u64)), ((x138 as u64) + x126));
1435  let mut x149: u64 = 0;
1436  let mut x150: fiat_secp256k1_montgomery_u1 = 0;
1437  fiat_secp256k1_montgomery_subborrowx_u64(&mut x149, &mut x150, 0x0, x141, 0xfffffffefffffc2f);
1438  let mut x151: u64 = 0;
1439  let mut x152: fiat_secp256k1_montgomery_u1 = 0;
1440  fiat_secp256k1_montgomery_subborrowx_u64(&mut x151, &mut x152, x150, x143, 0xffffffffffffffff);
1441  let mut x153: u64 = 0;
1442  let mut x154: fiat_secp256k1_montgomery_u1 = 0;
1443  fiat_secp256k1_montgomery_subborrowx_u64(&mut x153, &mut x154, x152, x145, 0xffffffffffffffff);
1444  let mut x155: u64 = 0;
1445  let mut x156: fiat_secp256k1_montgomery_u1 = 0;
1446  fiat_secp256k1_montgomery_subborrowx_u64(&mut x155, &mut x156, x154, x147, 0xffffffffffffffff);
1447  let mut x157: u64 = 0;
1448  let mut x158: fiat_secp256k1_montgomery_u1 = 0;
1449  fiat_secp256k1_montgomery_subborrowx_u64(&mut x157, &mut x158, x156, (x148 as u64), (0x0 as u64));
1450  let mut x159: u64 = 0;
1451  fiat_secp256k1_montgomery_cmovznz_u64(&mut x159, x158, x149, x141);
1452  let mut x160: u64 = 0;
1453  fiat_secp256k1_montgomery_cmovznz_u64(&mut x160, x158, x151, x143);
1454  let mut x161: u64 = 0;
1455  fiat_secp256k1_montgomery_cmovznz_u64(&mut x161, x158, x153, x145);
1456  let mut x162: u64 = 0;
1457  fiat_secp256k1_montgomery_cmovznz_u64(&mut x162, x158, x155, x147);
1458  out1[0] = x159;
1459  out1[1] = x160;
1460  out1[2] = x161;
1461  out1[3] = x162;
1462}
1463
1464/// The function fiat_secp256k1_montgomery_nonzero outputs a single non-zero word if the input is non-zero and zero otherwise.
1465///
1466/// Preconditions:
1467///   0 ≤ eval arg1 < m
1468/// Postconditions:
1469///   out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0
1470///
1471/// Input Bounds:
1472///   arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1473/// Output Bounds:
1474///   out1: [0x0 ~> 0xffffffffffffffff]
1475#[inline]
1476pub fn fiat_secp256k1_montgomery_nonzero(out1: &mut u64, arg1: &[u64; 4]) {
1477  let x1: u64 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | (arg1[3]))));
1478  *out1 = x1;
1479}
1480
1481/// The function fiat_secp256k1_montgomery_selectznz is a multi-limb conditional select.
1482///
1483/// Postconditions:
1484///   out1 = (if arg1 = 0 then arg2 else arg3)
1485///
1486/// Input Bounds:
1487///   arg1: [0x0 ~> 0x1]
1488///   arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1489///   arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1490/// Output Bounds:
1491///   out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1492#[inline]
1493pub fn fiat_secp256k1_montgomery_selectznz(out1: &mut [u64; 4], arg1: fiat_secp256k1_montgomery_u1, arg2: &[u64; 4], arg3: &[u64; 4]) {
1494  let mut x1: u64 = 0;
1495  fiat_secp256k1_montgomery_cmovznz_u64(&mut x1, arg1, (arg2[0]), (arg3[0]));
1496  let mut x2: u64 = 0;
1497  fiat_secp256k1_montgomery_cmovznz_u64(&mut x2, arg1, (arg2[1]), (arg3[1]));
1498  let mut x3: u64 = 0;
1499  fiat_secp256k1_montgomery_cmovznz_u64(&mut x3, arg1, (arg2[2]), (arg3[2]));
1500  let mut x4: u64 = 0;
1501  fiat_secp256k1_montgomery_cmovznz_u64(&mut x4, arg1, (arg2[3]), (arg3[3]));
1502  out1[0] = x1;
1503  out1[1] = x2;
1504  out1[2] = x3;
1505  out1[3] = x4;
1506}
1507
1508/// The function fiat_secp256k1_montgomery_to_bytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order.
1509///
1510/// Preconditions:
1511///   0 ≤ eval arg1 < m
1512/// Postconditions:
1513///   out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
1514///
1515/// Input Bounds:
1516///   arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1517/// Output Bounds:
1518///   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]]
1519#[inline]
1520pub fn fiat_secp256k1_montgomery_to_bytes(out1: &mut [u8; 32], arg1: &[u64; 4]) {
1521  let x1: u64 = (arg1[3]);
1522  let x2: u64 = (arg1[2]);
1523  let x3: u64 = (arg1[1]);
1524  let x4: u64 = (arg1[0]);
1525  let x5: u8 = ((x4 & (0xff as u64)) as u8);
1526  let x6: u64 = (x4 >> 8);
1527  let x7: u8 = ((x6 & (0xff as u64)) as u8);
1528  let x8: u64 = (x6 >> 8);
1529  let x9: u8 = ((x8 & (0xff as u64)) as u8);
1530  let x10: u64 = (x8 >> 8);
1531  let x11: u8 = ((x10 & (0xff as u64)) as u8);
1532  let x12: u64 = (x10 >> 8);
1533  let x13: u8 = ((x12 & (0xff as u64)) as u8);
1534  let x14: u64 = (x12 >> 8);
1535  let x15: u8 = ((x14 & (0xff as u64)) as u8);
1536  let x16: u64 = (x14 >> 8);
1537  let x17: u8 = ((x16 & (0xff as u64)) as u8);
1538  let x18: u8 = ((x16 >> 8) as u8);
1539  let x19: u8 = ((x3 & (0xff as u64)) as u8);
1540  let x20: u64 = (x3 >> 8);
1541  let x21: u8 = ((x20 & (0xff as u64)) as u8);
1542  let x22: u64 = (x20 >> 8);
1543  let x23: u8 = ((x22 & (0xff as u64)) as u8);
1544  let x24: u64 = (x22 >> 8);
1545  let x25: u8 = ((x24 & (0xff as u64)) as u8);
1546  let x26: u64 = (x24 >> 8);
1547  let x27: u8 = ((x26 & (0xff as u64)) as u8);
1548  let x28: u64 = (x26 >> 8);
1549  let x29: u8 = ((x28 & (0xff as u64)) as u8);
1550  let x30: u64 = (x28 >> 8);
1551  let x31: u8 = ((x30 & (0xff as u64)) as u8);
1552  let x32: u8 = ((x30 >> 8) as u8);
1553  let x33: u8 = ((x2 & (0xff as u64)) as u8);
1554  let x34: u64 = (x2 >> 8);
1555  let x35: u8 = ((x34 & (0xff as u64)) as u8);
1556  let x36: u64 = (x34 >> 8);
1557  let x37: u8 = ((x36 & (0xff as u64)) as u8);
1558  let x38: u64 = (x36 >> 8);
1559  let x39: u8 = ((x38 & (0xff as u64)) as u8);
1560  let x40: u64 = (x38 >> 8);
1561  let x41: u8 = ((x40 & (0xff as u64)) as u8);
1562  let x42: u64 = (x40 >> 8);
1563  let x43: u8 = ((x42 & (0xff as u64)) as u8);
1564  let x44: u64 = (x42 >> 8);
1565  let x45: u8 = ((x44 & (0xff as u64)) as u8);
1566  let x46: u8 = ((x44 >> 8) as u8);
1567  let x47: u8 = ((x1 & (0xff as u64)) as u8);
1568  let x48: u64 = (x1 >> 8);
1569  let x49: u8 = ((x48 & (0xff as u64)) as u8);
1570  let x50: u64 = (x48 >> 8);
1571  let x51: u8 = ((x50 & (0xff as u64)) as u8);
1572  let x52: u64 = (x50 >> 8);
1573  let x53: u8 = ((x52 & (0xff as u64)) as u8);
1574  let x54: u64 = (x52 >> 8);
1575  let x55: u8 = ((x54 & (0xff as u64)) as u8);
1576  let x56: u64 = (x54 >> 8);
1577  let x57: u8 = ((x56 & (0xff as u64)) as u8);
1578  let x58: u64 = (x56 >> 8);
1579  let x59: u8 = ((x58 & (0xff as u64)) as u8);
1580  let x60: u8 = ((x58 >> 8) as u8);
1581  out1[0] = x5;
1582  out1[1] = x7;
1583  out1[2] = x9;
1584  out1[3] = x11;
1585  out1[4] = x13;
1586  out1[5] = x15;
1587  out1[6] = x17;
1588  out1[7] = x18;
1589  out1[8] = x19;
1590  out1[9] = x21;
1591  out1[10] = x23;
1592  out1[11] = x25;
1593  out1[12] = x27;
1594  out1[13] = x29;
1595  out1[14] = x31;
1596  out1[15] = x32;
1597  out1[16] = x33;
1598  out1[17] = x35;
1599  out1[18] = x37;
1600  out1[19] = x39;
1601  out1[20] = x41;
1602  out1[21] = x43;
1603  out1[22] = x45;
1604  out1[23] = x46;
1605  out1[24] = x47;
1606  out1[25] = x49;
1607  out1[26] = x51;
1608  out1[27] = x53;
1609  out1[28] = x55;
1610  out1[29] = x57;
1611  out1[30] = x59;
1612  out1[31] = x60;
1613}
1614
1615/// The function fiat_secp256k1_montgomery_from_bytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order.
1616///
1617/// Preconditions:
1618///   0 ≤ bytes_eval arg1 < m
1619/// Postconditions:
1620///   eval out1 mod m = bytes_eval arg1 mod m
1621///   0 ≤ eval out1 < m
1622///
1623/// Input Bounds:
1624///   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]]
1625/// Output Bounds:
1626///   out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1627#[inline]
1628pub fn fiat_secp256k1_montgomery_from_bytes(out1: &mut [u64; 4], arg1: &[u8; 32]) {
1629  let x1: u64 = (((arg1[31]) as u64) << 56);
1630  let x2: u64 = (((arg1[30]) as u64) << 48);
1631  let x3: u64 = (((arg1[29]) as u64) << 40);
1632  let x4: u64 = (((arg1[28]) as u64) << 32);
1633  let x5: u64 = (((arg1[27]) as u64) << 24);
1634  let x6: u64 = (((arg1[26]) as u64) << 16);
1635  let x7: u64 = (((arg1[25]) as u64) << 8);
1636  let x8: u8 = (arg1[24]);
1637  let x9: u64 = (((arg1[23]) as u64) << 56);
1638  let x10: u64 = (((arg1[22]) as u64) << 48);
1639  let x11: u64 = (((arg1[21]) as u64) << 40);
1640  let x12: u64 = (((arg1[20]) as u64) << 32);
1641  let x13: u64 = (((arg1[19]) as u64) << 24);
1642  let x14: u64 = (((arg1[18]) as u64) << 16);
1643  let x15: u64 = (((arg1[17]) as u64) << 8);
1644  let x16: u8 = (arg1[16]);
1645  let x17: u64 = (((arg1[15]) as u64) << 56);
1646  let x18: u64 = (((arg1[14]) as u64) << 48);
1647  let x19: u64 = (((arg1[13]) as u64) << 40);
1648  let x20: u64 = (((arg1[12]) as u64) << 32);
1649  let x21: u64 = (((arg1[11]) as u64) << 24);
1650  let x22: u64 = (((arg1[10]) as u64) << 16);
1651  let x23: u64 = (((arg1[9]) as u64) << 8);
1652  let x24: u8 = (arg1[8]);
1653  let x25: u64 = (((arg1[7]) as u64) << 56);
1654  let x26: u64 = (((arg1[6]) as u64) << 48);
1655  let x27: u64 = (((arg1[5]) as u64) << 40);
1656  let x28: u64 = (((arg1[4]) as u64) << 32);
1657  let x29: u64 = (((arg1[3]) as u64) << 24);
1658  let x30: u64 = (((arg1[2]) as u64) << 16);
1659  let x31: u64 = (((arg1[1]) as u64) << 8);
1660  let x32: u8 = (arg1[0]);
1661  let x33: u64 = (x31 + (x32 as u64));
1662  let x34: u64 = (x30 + x33);
1663  let x35: u64 = (x29 + x34);
1664  let x36: u64 = (x28 + x35);
1665  let x37: u64 = (x27 + x36);
1666  let x38: u64 = (x26 + x37);
1667  let x39: u64 = (x25 + x38);
1668  let x40: u64 = (x23 + (x24 as u64));
1669  let x41: u64 = (x22 + x40);
1670  let x42: u64 = (x21 + x41);
1671  let x43: u64 = (x20 + x42);
1672  let x44: u64 = (x19 + x43);
1673  let x45: u64 = (x18 + x44);
1674  let x46: u64 = (x17 + x45);
1675  let x47: u64 = (x15 + (x16 as u64));
1676  let x48: u64 = (x14 + x47);
1677  let x49: u64 = (x13 + x48);
1678  let x50: u64 = (x12 + x49);
1679  let x51: u64 = (x11 + x50);
1680  let x52: u64 = (x10 + x51);
1681  let x53: u64 = (x9 + x52);
1682  let x54: u64 = (x7 + (x8 as u64));
1683  let x55: u64 = (x6 + x54);
1684  let x56: u64 = (x5 + x55);
1685  let x57: u64 = (x4 + x56);
1686  let x58: u64 = (x3 + x57);
1687  let x59: u64 = (x2 + x58);
1688  let x60: u64 = (x1 + x59);
1689  out1[0] = x39;
1690  out1[1] = x46;
1691  out1[2] = x53;
1692  out1[3] = x60;
1693}
1694
1695/// The function fiat_secp256k1_montgomery_set_one returns the field element one in the Montgomery domain.
1696///
1697/// Postconditions:
1698///   eval (from_montgomery out1) mod m = 1 mod m
1699///   0 ≤ eval out1 < m
1700///
1701#[inline]
1702pub fn fiat_secp256k1_montgomery_set_one(out1: &mut fiat_secp256k1_montgomery_montgomery_domain_field_element) {
1703  out1[0] = 0x1000003d1;
1704  out1[1] = (0x0 as u64);
1705  out1[2] = (0x0 as u64);
1706  out1[3] = (0x0 as u64);
1707}
1708
1709/// The function fiat_secp256k1_montgomery_msat returns the saturated representation of the prime modulus.
1710///
1711/// Postconditions:
1712///   twos_complement_eval out1 = m
1713///   0 ≤ eval out1 < m
1714///
1715/// Output Bounds:
1716///   out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1717#[inline]
1718pub fn fiat_secp256k1_montgomery_msat(out1: &mut [u64; 5]) {
1719  out1[0] = 0xfffffffefffffc2f;
1720  out1[1] = 0xffffffffffffffff;
1721  out1[2] = 0xffffffffffffffff;
1722  out1[3] = 0xffffffffffffffff;
1723  out1[4] = (0x0 as u64);
1724}
1725
1726/// The function fiat_secp256k1_montgomery_divstep computes a divstep.
1727///
1728/// Preconditions:
1729///   0 ≤ eval arg4 < m
1730///   0 ≤ eval arg5 < m
1731/// Postconditions:
1732///   out1 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then 1 - arg1 else 1 + arg1)
1733///   twos_complement_eval out2 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then twos_complement_eval arg3 else twos_complement_eval arg2)
1734///   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⌋)
1735///   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)
1736///   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)
1737///   0 ≤ eval out5 < m
1738///   0 ≤ eval out5 < m
1739///   0 ≤ eval out2 < m
1740///   0 ≤ eval out3 < m
1741///
1742/// Input Bounds:
1743///   arg1: [0x0 ~> 0xffffffffffffffff]
1744///   arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1745///   arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1746///   arg4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1747///   arg5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1748/// Output Bounds:
1749///   out1: [0x0 ~> 0xffffffffffffffff]
1750///   out2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1751///   out3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1752///   out4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1753///   out5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1754#[inline]
1755pub fn fiat_secp256k1_montgomery_divstep(out1: &mut u64, out2: &mut [u64; 5], out3: &mut [u64; 5], out4: &mut [u64; 4], out5: &mut [u64; 4], arg1: u64, arg2: &[u64; 5], arg3: &[u64; 5], arg4: &[u64; 4], arg5: &[u64; 4]) {
1756  let mut x1: u64 = 0;
1757  let mut x2: fiat_secp256k1_montgomery_u1 = 0;
1758  fiat_secp256k1_montgomery_addcarryx_u64(&mut x1, &mut x2, 0x0, (!arg1), (0x1 as u64));
1759  let x3: fiat_secp256k1_montgomery_u1 = (((x1 >> 63) as fiat_secp256k1_montgomery_u1) & (((arg3[0]) & (0x1 as u64)) as fiat_secp256k1_montgomery_u1));
1760  let mut x4: u64 = 0;
1761  let mut x5: fiat_secp256k1_montgomery_u1 = 0;
1762  fiat_secp256k1_montgomery_addcarryx_u64(&mut x4, &mut x5, 0x0, (!arg1), (0x1 as u64));
1763  let mut x6: u64 = 0;
1764  fiat_secp256k1_montgomery_cmovznz_u64(&mut x6, x3, arg1, x4);
1765  let mut x7: u64 = 0;
1766  fiat_secp256k1_montgomery_cmovznz_u64(&mut x7, x3, (arg2[0]), (arg3[0]));
1767  let mut x8: u64 = 0;
1768  fiat_secp256k1_montgomery_cmovznz_u64(&mut x8, x3, (arg2[1]), (arg3[1]));
1769  let mut x9: u64 = 0;
1770  fiat_secp256k1_montgomery_cmovznz_u64(&mut x9, x3, (arg2[2]), (arg3[2]));
1771  let mut x10: u64 = 0;
1772  fiat_secp256k1_montgomery_cmovznz_u64(&mut x10, x3, (arg2[3]), (arg3[3]));
1773  let mut x11: u64 = 0;
1774  fiat_secp256k1_montgomery_cmovznz_u64(&mut x11, x3, (arg2[4]), (arg3[4]));
1775  let mut x12: u64 = 0;
1776  let mut x13: fiat_secp256k1_montgomery_u1 = 0;
1777  fiat_secp256k1_montgomery_addcarryx_u64(&mut x12, &mut x13, 0x0, (0x1 as u64), (!(arg2[0])));
1778  let mut x14: u64 = 0;
1779  let mut x15: fiat_secp256k1_montgomery_u1 = 0;
1780  fiat_secp256k1_montgomery_addcarryx_u64(&mut x14, &mut x15, x13, (0x0 as u64), (!(arg2[1])));
1781  let mut x16: u64 = 0;
1782  let mut x17: fiat_secp256k1_montgomery_u1 = 0;
1783  fiat_secp256k1_montgomery_addcarryx_u64(&mut x16, &mut x17, x15, (0x0 as u64), (!(arg2[2])));
1784  let mut x18: u64 = 0;
1785  let mut x19: fiat_secp256k1_montgomery_u1 = 0;
1786  fiat_secp256k1_montgomery_addcarryx_u64(&mut x18, &mut x19, x17, (0x0 as u64), (!(arg2[3])));
1787  let mut x20: u64 = 0;
1788  let mut x21: fiat_secp256k1_montgomery_u1 = 0;
1789  fiat_secp256k1_montgomery_addcarryx_u64(&mut x20, &mut x21, x19, (0x0 as u64), (!(arg2[4])));
1790  let mut x22: u64 = 0;
1791  fiat_secp256k1_montgomery_cmovznz_u64(&mut x22, x3, (arg3[0]), x12);
1792  let mut x23: u64 = 0;
1793  fiat_secp256k1_montgomery_cmovznz_u64(&mut x23, x3, (arg3[1]), x14);
1794  let mut x24: u64 = 0;
1795  fiat_secp256k1_montgomery_cmovznz_u64(&mut x24, x3, (arg3[2]), x16);
1796  let mut x25: u64 = 0;
1797  fiat_secp256k1_montgomery_cmovznz_u64(&mut x25, x3, (arg3[3]), x18);
1798  let mut x26: u64 = 0;
1799  fiat_secp256k1_montgomery_cmovznz_u64(&mut x26, x3, (arg3[4]), x20);
1800  let mut x27: u64 = 0;
1801  fiat_secp256k1_montgomery_cmovznz_u64(&mut x27, x3, (arg4[0]), (arg5[0]));
1802  let mut x28: u64 = 0;
1803  fiat_secp256k1_montgomery_cmovznz_u64(&mut x28, x3, (arg4[1]), (arg5[1]));
1804  let mut x29: u64 = 0;
1805  fiat_secp256k1_montgomery_cmovznz_u64(&mut x29, x3, (arg4[2]), (arg5[2]));
1806  let mut x30: u64 = 0;
1807  fiat_secp256k1_montgomery_cmovznz_u64(&mut x30, x3, (arg4[3]), (arg5[3]));
1808  let mut x31: u64 = 0;
1809  let mut x32: fiat_secp256k1_montgomery_u1 = 0;
1810  fiat_secp256k1_montgomery_addcarryx_u64(&mut x31, &mut x32, 0x0, x27, x27);
1811  let mut x33: u64 = 0;
1812  let mut x34: fiat_secp256k1_montgomery_u1 = 0;
1813  fiat_secp256k1_montgomery_addcarryx_u64(&mut x33, &mut x34, x32, x28, x28);
1814  let mut x35: u64 = 0;
1815  let mut x36: fiat_secp256k1_montgomery_u1 = 0;
1816  fiat_secp256k1_montgomery_addcarryx_u64(&mut x35, &mut x36, x34, x29, x29);
1817  let mut x37: u64 = 0;
1818  let mut x38: fiat_secp256k1_montgomery_u1 = 0;
1819  fiat_secp256k1_montgomery_addcarryx_u64(&mut x37, &mut x38, x36, x30, x30);
1820  let mut x39: u64 = 0;
1821  let mut x40: fiat_secp256k1_montgomery_u1 = 0;
1822  fiat_secp256k1_montgomery_subborrowx_u64(&mut x39, &mut x40, 0x0, x31, 0xfffffffefffffc2f);
1823  let mut x41: u64 = 0;
1824  let mut x42: fiat_secp256k1_montgomery_u1 = 0;
1825  fiat_secp256k1_montgomery_subborrowx_u64(&mut x41, &mut x42, x40, x33, 0xffffffffffffffff);
1826  let mut x43: u64 = 0;
1827  let mut x44: fiat_secp256k1_montgomery_u1 = 0;
1828  fiat_secp256k1_montgomery_subborrowx_u64(&mut x43, &mut x44, x42, x35, 0xffffffffffffffff);
1829  let mut x45: u64 = 0;
1830  let mut x46: fiat_secp256k1_montgomery_u1 = 0;
1831  fiat_secp256k1_montgomery_subborrowx_u64(&mut x45, &mut x46, x44, x37, 0xffffffffffffffff);
1832  let mut x47: u64 = 0;
1833  let mut x48: fiat_secp256k1_montgomery_u1 = 0;
1834  fiat_secp256k1_montgomery_subborrowx_u64(&mut x47, &mut x48, x46, (x38 as u64), (0x0 as u64));
1835  let x49: u64 = (arg4[3]);
1836  let x50: u64 = (arg4[2]);
1837  let x51: u64 = (arg4[1]);
1838  let x52: u64 = (arg4[0]);
1839  let mut x53: u64 = 0;
1840  let mut x54: fiat_secp256k1_montgomery_u1 = 0;
1841  fiat_secp256k1_montgomery_subborrowx_u64(&mut x53, &mut x54, 0x0, (0x0 as u64), x52);
1842  let mut x55: u64 = 0;
1843  let mut x56: fiat_secp256k1_montgomery_u1 = 0;
1844  fiat_secp256k1_montgomery_subborrowx_u64(&mut x55, &mut x56, x54, (0x0 as u64), x51);
1845  let mut x57: u64 = 0;
1846  let mut x58: fiat_secp256k1_montgomery_u1 = 0;
1847  fiat_secp256k1_montgomery_subborrowx_u64(&mut x57, &mut x58, x56, (0x0 as u64), x50);
1848  let mut x59: u64 = 0;
1849  let mut x60: fiat_secp256k1_montgomery_u1 = 0;
1850  fiat_secp256k1_montgomery_subborrowx_u64(&mut x59, &mut x60, x58, (0x0 as u64), x49);
1851  let mut x61: u64 = 0;
1852  fiat_secp256k1_montgomery_cmovznz_u64(&mut x61, x60, (0x0 as u64), 0xffffffffffffffff);
1853  let mut x62: u64 = 0;
1854  let mut x63: fiat_secp256k1_montgomery_u1 = 0;
1855  fiat_secp256k1_montgomery_addcarryx_u64(&mut x62, &mut x63, 0x0, x53, (x61 & 0xfffffffefffffc2f));
1856  let mut x64: u64 = 0;
1857  let mut x65: fiat_secp256k1_montgomery_u1 = 0;
1858  fiat_secp256k1_montgomery_addcarryx_u64(&mut x64, &mut x65, x63, x55, x61);
1859  let mut x66: u64 = 0;
1860  let mut x67: fiat_secp256k1_montgomery_u1 = 0;
1861  fiat_secp256k1_montgomery_addcarryx_u64(&mut x66, &mut x67, x65, x57, x61);
1862  let mut x68: u64 = 0;
1863  let mut x69: fiat_secp256k1_montgomery_u1 = 0;
1864  fiat_secp256k1_montgomery_addcarryx_u64(&mut x68, &mut x69, x67, x59, x61);
1865  let mut x70: u64 = 0;
1866  fiat_secp256k1_montgomery_cmovznz_u64(&mut x70, x3, (arg5[0]), x62);
1867  let mut x71: u64 = 0;
1868  fiat_secp256k1_montgomery_cmovznz_u64(&mut x71, x3, (arg5[1]), x64);
1869  let mut x72: u64 = 0;
1870  fiat_secp256k1_montgomery_cmovznz_u64(&mut x72, x3, (arg5[2]), x66);
1871  let mut x73: u64 = 0;
1872  fiat_secp256k1_montgomery_cmovznz_u64(&mut x73, x3, (arg5[3]), x68);
1873  let x74: fiat_secp256k1_montgomery_u1 = ((x22 & (0x1 as u64)) as fiat_secp256k1_montgomery_u1);
1874  let mut x75: u64 = 0;
1875  fiat_secp256k1_montgomery_cmovznz_u64(&mut x75, x74, (0x0 as u64), x7);
1876  let mut x76: u64 = 0;
1877  fiat_secp256k1_montgomery_cmovznz_u64(&mut x76, x74, (0x0 as u64), x8);
1878  let mut x77: u64 = 0;
1879  fiat_secp256k1_montgomery_cmovznz_u64(&mut x77, x74, (0x0 as u64), x9);
1880  let mut x78: u64 = 0;
1881  fiat_secp256k1_montgomery_cmovznz_u64(&mut x78, x74, (0x0 as u64), x10);
1882  let mut x79: u64 = 0;
1883  fiat_secp256k1_montgomery_cmovznz_u64(&mut x79, x74, (0x0 as u64), x11);
1884  let mut x80: u64 = 0;
1885  let mut x81: fiat_secp256k1_montgomery_u1 = 0;
1886  fiat_secp256k1_montgomery_addcarryx_u64(&mut x80, &mut x81, 0x0, x22, x75);
1887  let mut x82: u64 = 0;
1888  let mut x83: fiat_secp256k1_montgomery_u1 = 0;
1889  fiat_secp256k1_montgomery_addcarryx_u64(&mut x82, &mut x83, x81, x23, x76);
1890  let mut x84: u64 = 0;
1891  let mut x85: fiat_secp256k1_montgomery_u1 = 0;
1892  fiat_secp256k1_montgomery_addcarryx_u64(&mut x84, &mut x85, x83, x24, x77);
1893  let mut x86: u64 = 0;
1894  let mut x87: fiat_secp256k1_montgomery_u1 = 0;
1895  fiat_secp256k1_montgomery_addcarryx_u64(&mut x86, &mut x87, x85, x25, x78);
1896  let mut x88: u64 = 0;
1897  let mut x89: fiat_secp256k1_montgomery_u1 = 0;
1898  fiat_secp256k1_montgomery_addcarryx_u64(&mut x88, &mut x89, x87, x26, x79);
1899  let mut x90: u64 = 0;
1900  fiat_secp256k1_montgomery_cmovznz_u64(&mut x90, x74, (0x0 as u64), x27);
1901  let mut x91: u64 = 0;
1902  fiat_secp256k1_montgomery_cmovznz_u64(&mut x91, x74, (0x0 as u64), x28);
1903  let mut x92: u64 = 0;
1904  fiat_secp256k1_montgomery_cmovznz_u64(&mut x92, x74, (0x0 as u64), x29);
1905  let mut x93: u64 = 0;
1906  fiat_secp256k1_montgomery_cmovznz_u64(&mut x93, x74, (0x0 as u64), x30);
1907  let mut x94: u64 = 0;
1908  let mut x95: fiat_secp256k1_montgomery_u1 = 0;
1909  fiat_secp256k1_montgomery_addcarryx_u64(&mut x94, &mut x95, 0x0, x70, x90);
1910  let mut x96: u64 = 0;
1911  let mut x97: fiat_secp256k1_montgomery_u1 = 0;
1912  fiat_secp256k1_montgomery_addcarryx_u64(&mut x96, &mut x97, x95, x71, x91);
1913  let mut x98: u64 = 0;
1914  let mut x99: fiat_secp256k1_montgomery_u1 = 0;
1915  fiat_secp256k1_montgomery_addcarryx_u64(&mut x98, &mut x99, x97, x72, x92);
1916  let mut x100: u64 = 0;
1917  let mut x101: fiat_secp256k1_montgomery_u1 = 0;
1918  fiat_secp256k1_montgomery_addcarryx_u64(&mut x100, &mut x101, x99, x73, x93);
1919  let mut x102: u64 = 0;
1920  let mut x103: fiat_secp256k1_montgomery_u1 = 0;
1921  fiat_secp256k1_montgomery_subborrowx_u64(&mut x102, &mut x103, 0x0, x94, 0xfffffffefffffc2f);
1922  let mut x104: u64 = 0;
1923  let mut x105: fiat_secp256k1_montgomery_u1 = 0;
1924  fiat_secp256k1_montgomery_subborrowx_u64(&mut x104, &mut x105, x103, x96, 0xffffffffffffffff);
1925  let mut x106: u64 = 0;
1926  let mut x107: fiat_secp256k1_montgomery_u1 = 0;
1927  fiat_secp256k1_montgomery_subborrowx_u64(&mut x106, &mut x107, x105, x98, 0xffffffffffffffff);
1928  let mut x108: u64 = 0;
1929  let mut x109: fiat_secp256k1_montgomery_u1 = 0;
1930  fiat_secp256k1_montgomery_subborrowx_u64(&mut x108, &mut x109, x107, x100, 0xffffffffffffffff);
1931  let mut x110: u64 = 0;
1932  let mut x111: fiat_secp256k1_montgomery_u1 = 0;
1933  fiat_secp256k1_montgomery_subborrowx_u64(&mut x110, &mut x111, x109, (x101 as u64), (0x0 as u64));
1934  let mut x112: u64 = 0;
1935  let mut x113: fiat_secp256k1_montgomery_u1 = 0;
1936  fiat_secp256k1_montgomery_addcarryx_u64(&mut x112, &mut x113, 0x0, x6, (0x1 as u64));
1937  let x114: u64 = ((x80 >> 1) | ((x82 << 63) & 0xffffffffffffffff));
1938  let x115: u64 = ((x82 >> 1) | ((x84 << 63) & 0xffffffffffffffff));
1939  let x116: u64 = ((x84 >> 1) | ((x86 << 63) & 0xffffffffffffffff));
1940  let x117: u64 = ((x86 >> 1) | ((x88 << 63) & 0xffffffffffffffff));
1941  let x118: u64 = ((x88 & 0x8000000000000000) | (x88 >> 1));
1942  let mut x119: u64 = 0;
1943  fiat_secp256k1_montgomery_cmovznz_u64(&mut x119, x48, x39, x31);
1944  let mut x120: u64 = 0;
1945  fiat_secp256k1_montgomery_cmovznz_u64(&mut x120, x48, x41, x33);
1946  let mut x121: u64 = 0;
1947  fiat_secp256k1_montgomery_cmovznz_u64(&mut x121, x48, x43, x35);
1948  let mut x122: u64 = 0;
1949  fiat_secp256k1_montgomery_cmovznz_u64(&mut x122, x48, x45, x37);
1950  let mut x123: u64 = 0;
1951  fiat_secp256k1_montgomery_cmovznz_u64(&mut x123, x111, x102, x94);
1952  let mut x124: u64 = 0;
1953  fiat_secp256k1_montgomery_cmovznz_u64(&mut x124, x111, x104, x96);
1954  let mut x125: u64 = 0;
1955  fiat_secp256k1_montgomery_cmovznz_u64(&mut x125, x111, x106, x98);
1956  let mut x126: u64 = 0;
1957  fiat_secp256k1_montgomery_cmovznz_u64(&mut x126, x111, x108, x100);
1958  *out1 = x112;
1959  out2[0] = x7;
1960  out2[1] = x8;
1961  out2[2] = x9;
1962  out2[3] = x10;
1963  out2[4] = x11;
1964  out3[0] = x114;
1965  out3[1] = x115;
1966  out3[2] = x116;
1967  out3[3] = x117;
1968  out3[4] = x118;
1969  out4[0] = x119;
1970  out4[1] = x120;
1971  out4[2] = x121;
1972  out4[3] = x122;
1973  out5[0] = x123;
1974  out5[1] = x124;
1975  out5[2] = x125;
1976  out5[3] = x126;
1977}
1978
1979/// The function fiat_secp256k1_montgomery_divstep_precomp returns the precomputed value for Bernstein-Yang-inversion (in montgomery form).
1980///
1981/// Postconditions:
1982///   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⌋)
1983///   0 ≤ eval out1 < m
1984///
1985/// Output Bounds:
1986///   out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
1987#[inline]
1988pub fn fiat_secp256k1_montgomery_divstep_precomp(out1: &mut [u64; 4]) {
1989  out1[0] = 0xf201a41831525e0a;
1990  out1[1] = 0x9953f9ddcd648d85;
1991  out1[2] = 0xe86029463db210a9;
1992  out1[3] = 0x24fb8a3104b03709;
1993}