1 /* Autogenerated: src/ExtractionOCaml/word_by_word_montgomery --static p256 '2^256 - 2^224 + 2^192 + 2^96 - 1' 32 mul square add sub opp from_montgomery nonzero selectznz to_bytes from_bytes */
2 /* curve description: p256 */
3 /* requested operations: mul, square, add, sub, opp, from_montgomery, nonzero, selectznz, to_bytes, from_bytes */
4 /* m = 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff (from "2^256 - 2^224 + 2^192 + 2^96 - 1") */
5 /* machine_wordsize = 32 (from "32") */
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 #include <stdint.h>
15 typedef unsigned char fiat_p256_uint1;
16 typedef signed char fiat_p256_int1;
17
18 #if (-1 & 3) != 3
19 #error "This code only works on a two's complement system"
20 #endif
21
22
23 /*
24 * The function fiat_p256_addcarryx_u32 is an addition with carry.
25 * Postconditions:
26 * out1 = (arg1 + arg2 + arg3) mod 2^32
27 * out2 = ⌊(arg1 + arg2 + arg3) / 2^32⌋
28 *
29 * Input Bounds:
30 * arg1: [0x0 ~> 0x1]
31 * arg2: [0x0 ~> 0xffffffff]
32 * arg3: [0x0 ~> 0xffffffff]
33 * Output Bounds:
34 * out1: [0x0 ~> 0xffffffff]
35 * out2: [0x0 ~> 0x1]
36 */
fiat_p256_addcarryx_u32(uint32_t * out1,fiat_p256_uint1 * out2,fiat_p256_uint1 arg1,uint32_t arg2,uint32_t arg3)37 static void fiat_p256_addcarryx_u32(uint32_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint32_t arg2, uint32_t arg3) {
38 uint64_t x1 = ((arg1 + (uint64_t)arg2) + arg3);
39 uint32_t x2 = (uint32_t)(x1 & UINT32_C(0xffffffff));
40 fiat_p256_uint1 x3 = (fiat_p256_uint1)(x1 >> 32);
41 *out1 = x2;
42 *out2 = x3;
43 }
44
45 /*
46 * The function fiat_p256_subborrowx_u32 is a subtraction with borrow.
47 * Postconditions:
48 * out1 = (-arg1 + arg2 + -arg3) mod 2^32
49 * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^32⌋
50 *
51 * Input Bounds:
52 * arg1: [0x0 ~> 0x1]
53 * arg2: [0x0 ~> 0xffffffff]
54 * arg3: [0x0 ~> 0xffffffff]
55 * Output Bounds:
56 * out1: [0x0 ~> 0xffffffff]
57 * out2: [0x0 ~> 0x1]
58 */
fiat_p256_subborrowx_u32(uint32_t * out1,fiat_p256_uint1 * out2,fiat_p256_uint1 arg1,uint32_t arg2,uint32_t arg3)59 static void fiat_p256_subborrowx_u32(uint32_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint32_t arg2, uint32_t arg3) {
60 int64_t x1 = ((arg2 - (int64_t)arg1) - arg3);
61 fiat_p256_int1 x2 = (fiat_p256_int1)(x1 >> 32);
62 uint32_t x3 = (uint32_t)(x1 & UINT32_C(0xffffffff));
63 *out1 = x3;
64 *out2 = (fiat_p256_uint1)(0x0 - x2);
65 }
66
67 /*
68 * The function fiat_p256_mulx_u32 is a multiplication, returning the full double-width result.
69 * Postconditions:
70 * out1 = (arg1 * arg2) mod 2^32
71 * out2 = ⌊arg1 * arg2 / 2^32⌋
72 *
73 * Input Bounds:
74 * arg1: [0x0 ~> 0xffffffff]
75 * arg2: [0x0 ~> 0xffffffff]
76 * Output Bounds:
77 * out1: [0x0 ~> 0xffffffff]
78 * out2: [0x0 ~> 0xffffffff]
79 */
fiat_p256_mulx_u32(uint32_t * out1,uint32_t * out2,uint32_t arg1,uint32_t arg2)80 static void fiat_p256_mulx_u32(uint32_t* out1, uint32_t* out2, uint32_t arg1, uint32_t arg2) {
81 uint64_t x1 = ((uint64_t)arg1 * arg2);
82 uint32_t x2 = (uint32_t)(x1 & UINT32_C(0xffffffff));
83 uint32_t x3 = (uint32_t)(x1 >> 32);
84 *out1 = x2;
85 *out2 = x3;
86 }
87
88 /*
89 * The function fiat_p256_cmovznz_u32 is a single-word conditional move.
90 * Postconditions:
91 * out1 = (if arg1 = 0 then arg2 else arg3)
92 *
93 * Input Bounds:
94 * arg1: [0x0 ~> 0x1]
95 * arg2: [0x0 ~> 0xffffffff]
96 * arg3: [0x0 ~> 0xffffffff]
97 * Output Bounds:
98 * out1: [0x0 ~> 0xffffffff]
99 */
fiat_p256_cmovznz_u32(uint32_t * out1,fiat_p256_uint1 arg1,uint32_t arg2,uint32_t arg3)100 static void fiat_p256_cmovznz_u32(uint32_t* out1, fiat_p256_uint1 arg1, uint32_t arg2, uint32_t arg3) {
101 fiat_p256_uint1 x1 = (!(!arg1));
102 uint32_t x2 = ((fiat_p256_int1)(0x0 - x1) & UINT32_C(0xffffffff));
103 // Note this line has been patched from the synthesized code to add value
104 // barriers.
105 //
106 // Clang recognizes this pattern as a select. While it usually transforms it
107 // to a cmov, it sometimes further transforms it into a branch, which we do
108 // not want.
109 uint32_t x3 = ((value_barrier_u32(x2) & arg3) | (value_barrier_u32(~x2) & arg2));
110 *out1 = x3;
111 }
112
113 /*
114 * The function fiat_p256_mul multiplies two field elements in the Montgomery domain.
115 * Preconditions:
116 * 0 ≤ eval arg1 < m
117 * 0 ≤ eval arg2 < m
118 * Postconditions:
119 * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
120 * 0 ≤ eval out1 < m
121 *
122 * Input Bounds:
123 * arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
124 * arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
125 * Output Bounds:
126 * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
127 */
fiat_p256_mul(uint32_t out1[8],const uint32_t arg1[8],const uint32_t arg2[8])128 static void fiat_p256_mul(uint32_t out1[8], const uint32_t arg1[8], const uint32_t arg2[8]) {
129 uint32_t x1 = (arg1[1]);
130 uint32_t x2 = (arg1[2]);
131 uint32_t x3 = (arg1[3]);
132 uint32_t x4 = (arg1[4]);
133 uint32_t x5 = (arg1[5]);
134 uint32_t x6 = (arg1[6]);
135 uint32_t x7 = (arg1[7]);
136 uint32_t x8 = (arg1[0]);
137 uint32_t x9;
138 uint32_t x10;
139 fiat_p256_mulx_u32(&x9, &x10, x8, (arg2[7]));
140 uint32_t x11;
141 uint32_t x12;
142 fiat_p256_mulx_u32(&x11, &x12, x8, (arg2[6]));
143 uint32_t x13;
144 uint32_t x14;
145 fiat_p256_mulx_u32(&x13, &x14, x8, (arg2[5]));
146 uint32_t x15;
147 uint32_t x16;
148 fiat_p256_mulx_u32(&x15, &x16, x8, (arg2[4]));
149 uint32_t x17;
150 uint32_t x18;
151 fiat_p256_mulx_u32(&x17, &x18, x8, (arg2[3]));
152 uint32_t x19;
153 uint32_t x20;
154 fiat_p256_mulx_u32(&x19, &x20, x8, (arg2[2]));
155 uint32_t x21;
156 uint32_t x22;
157 fiat_p256_mulx_u32(&x21, &x22, x8, (arg2[1]));
158 uint32_t x23;
159 uint32_t x24;
160 fiat_p256_mulx_u32(&x23, &x24, x8, (arg2[0]));
161 uint32_t x25;
162 fiat_p256_uint1 x26;
163 fiat_p256_addcarryx_u32(&x25, &x26, 0x0, x24, x21);
164 uint32_t x27;
165 fiat_p256_uint1 x28;
166 fiat_p256_addcarryx_u32(&x27, &x28, x26, x22, x19);
167 uint32_t x29;
168 fiat_p256_uint1 x30;
169 fiat_p256_addcarryx_u32(&x29, &x30, x28, x20, x17);
170 uint32_t x31;
171 fiat_p256_uint1 x32;
172 fiat_p256_addcarryx_u32(&x31, &x32, x30, x18, x15);
173 uint32_t x33;
174 fiat_p256_uint1 x34;
175 fiat_p256_addcarryx_u32(&x33, &x34, x32, x16, x13);
176 uint32_t x35;
177 fiat_p256_uint1 x36;
178 fiat_p256_addcarryx_u32(&x35, &x36, x34, x14, x11);
179 uint32_t x37;
180 fiat_p256_uint1 x38;
181 fiat_p256_addcarryx_u32(&x37, &x38, x36, x12, x9);
182 uint32_t x39 = (x38 + x10);
183 uint32_t x40;
184 uint32_t x41;
185 fiat_p256_mulx_u32(&x40, &x41, x23, UINT32_C(0xffffffff));
186 uint32_t x42;
187 uint32_t x43;
188 fiat_p256_mulx_u32(&x42, &x43, x23, UINT32_C(0xffffffff));
189 uint32_t x44;
190 uint32_t x45;
191 fiat_p256_mulx_u32(&x44, &x45, x23, UINT32_C(0xffffffff));
192 uint32_t x46;
193 uint32_t x47;
194 fiat_p256_mulx_u32(&x46, &x47, x23, UINT32_C(0xffffffff));
195 uint32_t x48;
196 fiat_p256_uint1 x49;
197 fiat_p256_addcarryx_u32(&x48, &x49, 0x0, x47, x44);
198 uint32_t x50;
199 fiat_p256_uint1 x51;
200 fiat_p256_addcarryx_u32(&x50, &x51, x49, x45, x42);
201 uint32_t x52 = (x51 + x43);
202 uint32_t x53;
203 fiat_p256_uint1 x54;
204 fiat_p256_addcarryx_u32(&x53, &x54, 0x0, x23, x46);
205 uint32_t x55;
206 fiat_p256_uint1 x56;
207 fiat_p256_addcarryx_u32(&x55, &x56, x54, x25, x48);
208 uint32_t x57;
209 fiat_p256_uint1 x58;
210 fiat_p256_addcarryx_u32(&x57, &x58, x56, x27, x50);
211 uint32_t x59;
212 fiat_p256_uint1 x60;
213 fiat_p256_addcarryx_u32(&x59, &x60, x58, x29, x52);
214 uint32_t x61;
215 fiat_p256_uint1 x62;
216 fiat_p256_addcarryx_u32(&x61, &x62, x60, x31, 0x0);
217 uint32_t x63;
218 fiat_p256_uint1 x64;
219 fiat_p256_addcarryx_u32(&x63, &x64, x62, x33, 0x0);
220 uint32_t x65;
221 fiat_p256_uint1 x66;
222 fiat_p256_addcarryx_u32(&x65, &x66, x64, x35, x23);
223 uint32_t x67;
224 fiat_p256_uint1 x68;
225 fiat_p256_addcarryx_u32(&x67, &x68, x66, x37, x40);
226 uint32_t x69;
227 fiat_p256_uint1 x70;
228 fiat_p256_addcarryx_u32(&x69, &x70, x68, x39, x41);
229 uint32_t x71;
230 uint32_t x72;
231 fiat_p256_mulx_u32(&x71, &x72, x1, (arg2[7]));
232 uint32_t x73;
233 uint32_t x74;
234 fiat_p256_mulx_u32(&x73, &x74, x1, (arg2[6]));
235 uint32_t x75;
236 uint32_t x76;
237 fiat_p256_mulx_u32(&x75, &x76, x1, (arg2[5]));
238 uint32_t x77;
239 uint32_t x78;
240 fiat_p256_mulx_u32(&x77, &x78, x1, (arg2[4]));
241 uint32_t x79;
242 uint32_t x80;
243 fiat_p256_mulx_u32(&x79, &x80, x1, (arg2[3]));
244 uint32_t x81;
245 uint32_t x82;
246 fiat_p256_mulx_u32(&x81, &x82, x1, (arg2[2]));
247 uint32_t x83;
248 uint32_t x84;
249 fiat_p256_mulx_u32(&x83, &x84, x1, (arg2[1]));
250 uint32_t x85;
251 uint32_t x86;
252 fiat_p256_mulx_u32(&x85, &x86, x1, (arg2[0]));
253 uint32_t x87;
254 fiat_p256_uint1 x88;
255 fiat_p256_addcarryx_u32(&x87, &x88, 0x0, x86, x83);
256 uint32_t x89;
257 fiat_p256_uint1 x90;
258 fiat_p256_addcarryx_u32(&x89, &x90, x88, x84, x81);
259 uint32_t x91;
260 fiat_p256_uint1 x92;
261 fiat_p256_addcarryx_u32(&x91, &x92, x90, x82, x79);
262 uint32_t x93;
263 fiat_p256_uint1 x94;
264 fiat_p256_addcarryx_u32(&x93, &x94, x92, x80, x77);
265 uint32_t x95;
266 fiat_p256_uint1 x96;
267 fiat_p256_addcarryx_u32(&x95, &x96, x94, x78, x75);
268 uint32_t x97;
269 fiat_p256_uint1 x98;
270 fiat_p256_addcarryx_u32(&x97, &x98, x96, x76, x73);
271 uint32_t x99;
272 fiat_p256_uint1 x100;
273 fiat_p256_addcarryx_u32(&x99, &x100, x98, x74, x71);
274 uint32_t x101 = (x100 + x72);
275 uint32_t x102;
276 fiat_p256_uint1 x103;
277 fiat_p256_addcarryx_u32(&x102, &x103, 0x0, x55, x85);
278 uint32_t x104;
279 fiat_p256_uint1 x105;
280 fiat_p256_addcarryx_u32(&x104, &x105, x103, x57, x87);
281 uint32_t x106;
282 fiat_p256_uint1 x107;
283 fiat_p256_addcarryx_u32(&x106, &x107, x105, x59, x89);
284 uint32_t x108;
285 fiat_p256_uint1 x109;
286 fiat_p256_addcarryx_u32(&x108, &x109, x107, x61, x91);
287 uint32_t x110;
288 fiat_p256_uint1 x111;
289 fiat_p256_addcarryx_u32(&x110, &x111, x109, x63, x93);
290 uint32_t x112;
291 fiat_p256_uint1 x113;
292 fiat_p256_addcarryx_u32(&x112, &x113, x111, x65, x95);
293 uint32_t x114;
294 fiat_p256_uint1 x115;
295 fiat_p256_addcarryx_u32(&x114, &x115, x113, x67, x97);
296 uint32_t x116;
297 fiat_p256_uint1 x117;
298 fiat_p256_addcarryx_u32(&x116, &x117, x115, x69, x99);
299 uint32_t x118;
300 fiat_p256_uint1 x119;
301 fiat_p256_addcarryx_u32(&x118, &x119, x117, x70, x101);
302 uint32_t x120;
303 uint32_t x121;
304 fiat_p256_mulx_u32(&x120, &x121, x102, UINT32_C(0xffffffff));
305 uint32_t x122;
306 uint32_t x123;
307 fiat_p256_mulx_u32(&x122, &x123, x102, UINT32_C(0xffffffff));
308 uint32_t x124;
309 uint32_t x125;
310 fiat_p256_mulx_u32(&x124, &x125, x102, UINT32_C(0xffffffff));
311 uint32_t x126;
312 uint32_t x127;
313 fiat_p256_mulx_u32(&x126, &x127, x102, UINT32_C(0xffffffff));
314 uint32_t x128;
315 fiat_p256_uint1 x129;
316 fiat_p256_addcarryx_u32(&x128, &x129, 0x0, x127, x124);
317 uint32_t x130;
318 fiat_p256_uint1 x131;
319 fiat_p256_addcarryx_u32(&x130, &x131, x129, x125, x122);
320 uint32_t x132 = (x131 + x123);
321 uint32_t x133;
322 fiat_p256_uint1 x134;
323 fiat_p256_addcarryx_u32(&x133, &x134, 0x0, x102, x126);
324 uint32_t x135;
325 fiat_p256_uint1 x136;
326 fiat_p256_addcarryx_u32(&x135, &x136, x134, x104, x128);
327 uint32_t x137;
328 fiat_p256_uint1 x138;
329 fiat_p256_addcarryx_u32(&x137, &x138, x136, x106, x130);
330 uint32_t x139;
331 fiat_p256_uint1 x140;
332 fiat_p256_addcarryx_u32(&x139, &x140, x138, x108, x132);
333 uint32_t x141;
334 fiat_p256_uint1 x142;
335 fiat_p256_addcarryx_u32(&x141, &x142, x140, x110, 0x0);
336 uint32_t x143;
337 fiat_p256_uint1 x144;
338 fiat_p256_addcarryx_u32(&x143, &x144, x142, x112, 0x0);
339 uint32_t x145;
340 fiat_p256_uint1 x146;
341 fiat_p256_addcarryx_u32(&x145, &x146, x144, x114, x102);
342 uint32_t x147;
343 fiat_p256_uint1 x148;
344 fiat_p256_addcarryx_u32(&x147, &x148, x146, x116, x120);
345 uint32_t x149;
346 fiat_p256_uint1 x150;
347 fiat_p256_addcarryx_u32(&x149, &x150, x148, x118, x121);
348 uint32_t x151 = ((uint32_t)x150 + x119);
349 uint32_t x152;
350 uint32_t x153;
351 fiat_p256_mulx_u32(&x152, &x153, x2, (arg2[7]));
352 uint32_t x154;
353 uint32_t x155;
354 fiat_p256_mulx_u32(&x154, &x155, x2, (arg2[6]));
355 uint32_t x156;
356 uint32_t x157;
357 fiat_p256_mulx_u32(&x156, &x157, x2, (arg2[5]));
358 uint32_t x158;
359 uint32_t x159;
360 fiat_p256_mulx_u32(&x158, &x159, x2, (arg2[4]));
361 uint32_t x160;
362 uint32_t x161;
363 fiat_p256_mulx_u32(&x160, &x161, x2, (arg2[3]));
364 uint32_t x162;
365 uint32_t x163;
366 fiat_p256_mulx_u32(&x162, &x163, x2, (arg2[2]));
367 uint32_t x164;
368 uint32_t x165;
369 fiat_p256_mulx_u32(&x164, &x165, x2, (arg2[1]));
370 uint32_t x166;
371 uint32_t x167;
372 fiat_p256_mulx_u32(&x166, &x167, x2, (arg2[0]));
373 uint32_t x168;
374 fiat_p256_uint1 x169;
375 fiat_p256_addcarryx_u32(&x168, &x169, 0x0, x167, x164);
376 uint32_t x170;
377 fiat_p256_uint1 x171;
378 fiat_p256_addcarryx_u32(&x170, &x171, x169, x165, x162);
379 uint32_t x172;
380 fiat_p256_uint1 x173;
381 fiat_p256_addcarryx_u32(&x172, &x173, x171, x163, x160);
382 uint32_t x174;
383 fiat_p256_uint1 x175;
384 fiat_p256_addcarryx_u32(&x174, &x175, x173, x161, x158);
385 uint32_t x176;
386 fiat_p256_uint1 x177;
387 fiat_p256_addcarryx_u32(&x176, &x177, x175, x159, x156);
388 uint32_t x178;
389 fiat_p256_uint1 x179;
390 fiat_p256_addcarryx_u32(&x178, &x179, x177, x157, x154);
391 uint32_t x180;
392 fiat_p256_uint1 x181;
393 fiat_p256_addcarryx_u32(&x180, &x181, x179, x155, x152);
394 uint32_t x182 = (x181 + x153);
395 uint32_t x183;
396 fiat_p256_uint1 x184;
397 fiat_p256_addcarryx_u32(&x183, &x184, 0x0, x135, x166);
398 uint32_t x185;
399 fiat_p256_uint1 x186;
400 fiat_p256_addcarryx_u32(&x185, &x186, x184, x137, x168);
401 uint32_t x187;
402 fiat_p256_uint1 x188;
403 fiat_p256_addcarryx_u32(&x187, &x188, x186, x139, x170);
404 uint32_t x189;
405 fiat_p256_uint1 x190;
406 fiat_p256_addcarryx_u32(&x189, &x190, x188, x141, x172);
407 uint32_t x191;
408 fiat_p256_uint1 x192;
409 fiat_p256_addcarryx_u32(&x191, &x192, x190, x143, x174);
410 uint32_t x193;
411 fiat_p256_uint1 x194;
412 fiat_p256_addcarryx_u32(&x193, &x194, x192, x145, x176);
413 uint32_t x195;
414 fiat_p256_uint1 x196;
415 fiat_p256_addcarryx_u32(&x195, &x196, x194, x147, x178);
416 uint32_t x197;
417 fiat_p256_uint1 x198;
418 fiat_p256_addcarryx_u32(&x197, &x198, x196, x149, x180);
419 uint32_t x199;
420 fiat_p256_uint1 x200;
421 fiat_p256_addcarryx_u32(&x199, &x200, x198, x151, x182);
422 uint32_t x201;
423 uint32_t x202;
424 fiat_p256_mulx_u32(&x201, &x202, x183, UINT32_C(0xffffffff));
425 uint32_t x203;
426 uint32_t x204;
427 fiat_p256_mulx_u32(&x203, &x204, x183, UINT32_C(0xffffffff));
428 uint32_t x205;
429 uint32_t x206;
430 fiat_p256_mulx_u32(&x205, &x206, x183, UINT32_C(0xffffffff));
431 uint32_t x207;
432 uint32_t x208;
433 fiat_p256_mulx_u32(&x207, &x208, x183, UINT32_C(0xffffffff));
434 uint32_t x209;
435 fiat_p256_uint1 x210;
436 fiat_p256_addcarryx_u32(&x209, &x210, 0x0, x208, x205);
437 uint32_t x211;
438 fiat_p256_uint1 x212;
439 fiat_p256_addcarryx_u32(&x211, &x212, x210, x206, x203);
440 uint32_t x213 = (x212 + x204);
441 uint32_t x214;
442 fiat_p256_uint1 x215;
443 fiat_p256_addcarryx_u32(&x214, &x215, 0x0, x183, x207);
444 uint32_t x216;
445 fiat_p256_uint1 x217;
446 fiat_p256_addcarryx_u32(&x216, &x217, x215, x185, x209);
447 uint32_t x218;
448 fiat_p256_uint1 x219;
449 fiat_p256_addcarryx_u32(&x218, &x219, x217, x187, x211);
450 uint32_t x220;
451 fiat_p256_uint1 x221;
452 fiat_p256_addcarryx_u32(&x220, &x221, x219, x189, x213);
453 uint32_t x222;
454 fiat_p256_uint1 x223;
455 fiat_p256_addcarryx_u32(&x222, &x223, x221, x191, 0x0);
456 uint32_t x224;
457 fiat_p256_uint1 x225;
458 fiat_p256_addcarryx_u32(&x224, &x225, x223, x193, 0x0);
459 uint32_t x226;
460 fiat_p256_uint1 x227;
461 fiat_p256_addcarryx_u32(&x226, &x227, x225, x195, x183);
462 uint32_t x228;
463 fiat_p256_uint1 x229;
464 fiat_p256_addcarryx_u32(&x228, &x229, x227, x197, x201);
465 uint32_t x230;
466 fiat_p256_uint1 x231;
467 fiat_p256_addcarryx_u32(&x230, &x231, x229, x199, x202);
468 uint32_t x232 = ((uint32_t)x231 + x200);
469 uint32_t x233;
470 uint32_t x234;
471 fiat_p256_mulx_u32(&x233, &x234, x3, (arg2[7]));
472 uint32_t x235;
473 uint32_t x236;
474 fiat_p256_mulx_u32(&x235, &x236, x3, (arg2[6]));
475 uint32_t x237;
476 uint32_t x238;
477 fiat_p256_mulx_u32(&x237, &x238, x3, (arg2[5]));
478 uint32_t x239;
479 uint32_t x240;
480 fiat_p256_mulx_u32(&x239, &x240, x3, (arg2[4]));
481 uint32_t x241;
482 uint32_t x242;
483 fiat_p256_mulx_u32(&x241, &x242, x3, (arg2[3]));
484 uint32_t x243;
485 uint32_t x244;
486 fiat_p256_mulx_u32(&x243, &x244, x3, (arg2[2]));
487 uint32_t x245;
488 uint32_t x246;
489 fiat_p256_mulx_u32(&x245, &x246, x3, (arg2[1]));
490 uint32_t x247;
491 uint32_t x248;
492 fiat_p256_mulx_u32(&x247, &x248, x3, (arg2[0]));
493 uint32_t x249;
494 fiat_p256_uint1 x250;
495 fiat_p256_addcarryx_u32(&x249, &x250, 0x0, x248, x245);
496 uint32_t x251;
497 fiat_p256_uint1 x252;
498 fiat_p256_addcarryx_u32(&x251, &x252, x250, x246, x243);
499 uint32_t x253;
500 fiat_p256_uint1 x254;
501 fiat_p256_addcarryx_u32(&x253, &x254, x252, x244, x241);
502 uint32_t x255;
503 fiat_p256_uint1 x256;
504 fiat_p256_addcarryx_u32(&x255, &x256, x254, x242, x239);
505 uint32_t x257;
506 fiat_p256_uint1 x258;
507 fiat_p256_addcarryx_u32(&x257, &x258, x256, x240, x237);
508 uint32_t x259;
509 fiat_p256_uint1 x260;
510 fiat_p256_addcarryx_u32(&x259, &x260, x258, x238, x235);
511 uint32_t x261;
512 fiat_p256_uint1 x262;
513 fiat_p256_addcarryx_u32(&x261, &x262, x260, x236, x233);
514 uint32_t x263 = (x262 + x234);
515 uint32_t x264;
516 fiat_p256_uint1 x265;
517 fiat_p256_addcarryx_u32(&x264, &x265, 0x0, x216, x247);
518 uint32_t x266;
519 fiat_p256_uint1 x267;
520 fiat_p256_addcarryx_u32(&x266, &x267, x265, x218, x249);
521 uint32_t x268;
522 fiat_p256_uint1 x269;
523 fiat_p256_addcarryx_u32(&x268, &x269, x267, x220, x251);
524 uint32_t x270;
525 fiat_p256_uint1 x271;
526 fiat_p256_addcarryx_u32(&x270, &x271, x269, x222, x253);
527 uint32_t x272;
528 fiat_p256_uint1 x273;
529 fiat_p256_addcarryx_u32(&x272, &x273, x271, x224, x255);
530 uint32_t x274;
531 fiat_p256_uint1 x275;
532 fiat_p256_addcarryx_u32(&x274, &x275, x273, x226, x257);
533 uint32_t x276;
534 fiat_p256_uint1 x277;
535 fiat_p256_addcarryx_u32(&x276, &x277, x275, x228, x259);
536 uint32_t x278;
537 fiat_p256_uint1 x279;
538 fiat_p256_addcarryx_u32(&x278, &x279, x277, x230, x261);
539 uint32_t x280;
540 fiat_p256_uint1 x281;
541 fiat_p256_addcarryx_u32(&x280, &x281, x279, x232, x263);
542 uint32_t x282;
543 uint32_t x283;
544 fiat_p256_mulx_u32(&x282, &x283, x264, UINT32_C(0xffffffff));
545 uint32_t x284;
546 uint32_t x285;
547 fiat_p256_mulx_u32(&x284, &x285, x264, UINT32_C(0xffffffff));
548 uint32_t x286;
549 uint32_t x287;
550 fiat_p256_mulx_u32(&x286, &x287, x264, UINT32_C(0xffffffff));
551 uint32_t x288;
552 uint32_t x289;
553 fiat_p256_mulx_u32(&x288, &x289, x264, UINT32_C(0xffffffff));
554 uint32_t x290;
555 fiat_p256_uint1 x291;
556 fiat_p256_addcarryx_u32(&x290, &x291, 0x0, x289, x286);
557 uint32_t x292;
558 fiat_p256_uint1 x293;
559 fiat_p256_addcarryx_u32(&x292, &x293, x291, x287, x284);
560 uint32_t x294 = (x293 + x285);
561 uint32_t x295;
562 fiat_p256_uint1 x296;
563 fiat_p256_addcarryx_u32(&x295, &x296, 0x0, x264, x288);
564 uint32_t x297;
565 fiat_p256_uint1 x298;
566 fiat_p256_addcarryx_u32(&x297, &x298, x296, x266, x290);
567 uint32_t x299;
568 fiat_p256_uint1 x300;
569 fiat_p256_addcarryx_u32(&x299, &x300, x298, x268, x292);
570 uint32_t x301;
571 fiat_p256_uint1 x302;
572 fiat_p256_addcarryx_u32(&x301, &x302, x300, x270, x294);
573 uint32_t x303;
574 fiat_p256_uint1 x304;
575 fiat_p256_addcarryx_u32(&x303, &x304, x302, x272, 0x0);
576 uint32_t x305;
577 fiat_p256_uint1 x306;
578 fiat_p256_addcarryx_u32(&x305, &x306, x304, x274, 0x0);
579 uint32_t x307;
580 fiat_p256_uint1 x308;
581 fiat_p256_addcarryx_u32(&x307, &x308, x306, x276, x264);
582 uint32_t x309;
583 fiat_p256_uint1 x310;
584 fiat_p256_addcarryx_u32(&x309, &x310, x308, x278, x282);
585 uint32_t x311;
586 fiat_p256_uint1 x312;
587 fiat_p256_addcarryx_u32(&x311, &x312, x310, x280, x283);
588 uint32_t x313 = ((uint32_t)x312 + x281);
589 uint32_t x314;
590 uint32_t x315;
591 fiat_p256_mulx_u32(&x314, &x315, x4, (arg2[7]));
592 uint32_t x316;
593 uint32_t x317;
594 fiat_p256_mulx_u32(&x316, &x317, x4, (arg2[6]));
595 uint32_t x318;
596 uint32_t x319;
597 fiat_p256_mulx_u32(&x318, &x319, x4, (arg2[5]));
598 uint32_t x320;
599 uint32_t x321;
600 fiat_p256_mulx_u32(&x320, &x321, x4, (arg2[4]));
601 uint32_t x322;
602 uint32_t x323;
603 fiat_p256_mulx_u32(&x322, &x323, x4, (arg2[3]));
604 uint32_t x324;
605 uint32_t x325;
606 fiat_p256_mulx_u32(&x324, &x325, x4, (arg2[2]));
607 uint32_t x326;
608 uint32_t x327;
609 fiat_p256_mulx_u32(&x326, &x327, x4, (arg2[1]));
610 uint32_t x328;
611 uint32_t x329;
612 fiat_p256_mulx_u32(&x328, &x329, x4, (arg2[0]));
613 uint32_t x330;
614 fiat_p256_uint1 x331;
615 fiat_p256_addcarryx_u32(&x330, &x331, 0x0, x329, x326);
616 uint32_t x332;
617 fiat_p256_uint1 x333;
618 fiat_p256_addcarryx_u32(&x332, &x333, x331, x327, x324);
619 uint32_t x334;
620 fiat_p256_uint1 x335;
621 fiat_p256_addcarryx_u32(&x334, &x335, x333, x325, x322);
622 uint32_t x336;
623 fiat_p256_uint1 x337;
624 fiat_p256_addcarryx_u32(&x336, &x337, x335, x323, x320);
625 uint32_t x338;
626 fiat_p256_uint1 x339;
627 fiat_p256_addcarryx_u32(&x338, &x339, x337, x321, x318);
628 uint32_t x340;
629 fiat_p256_uint1 x341;
630 fiat_p256_addcarryx_u32(&x340, &x341, x339, x319, x316);
631 uint32_t x342;
632 fiat_p256_uint1 x343;
633 fiat_p256_addcarryx_u32(&x342, &x343, x341, x317, x314);
634 uint32_t x344 = (x343 + x315);
635 uint32_t x345;
636 fiat_p256_uint1 x346;
637 fiat_p256_addcarryx_u32(&x345, &x346, 0x0, x297, x328);
638 uint32_t x347;
639 fiat_p256_uint1 x348;
640 fiat_p256_addcarryx_u32(&x347, &x348, x346, x299, x330);
641 uint32_t x349;
642 fiat_p256_uint1 x350;
643 fiat_p256_addcarryx_u32(&x349, &x350, x348, x301, x332);
644 uint32_t x351;
645 fiat_p256_uint1 x352;
646 fiat_p256_addcarryx_u32(&x351, &x352, x350, x303, x334);
647 uint32_t x353;
648 fiat_p256_uint1 x354;
649 fiat_p256_addcarryx_u32(&x353, &x354, x352, x305, x336);
650 uint32_t x355;
651 fiat_p256_uint1 x356;
652 fiat_p256_addcarryx_u32(&x355, &x356, x354, x307, x338);
653 uint32_t x357;
654 fiat_p256_uint1 x358;
655 fiat_p256_addcarryx_u32(&x357, &x358, x356, x309, x340);
656 uint32_t x359;
657 fiat_p256_uint1 x360;
658 fiat_p256_addcarryx_u32(&x359, &x360, x358, x311, x342);
659 uint32_t x361;
660 fiat_p256_uint1 x362;
661 fiat_p256_addcarryx_u32(&x361, &x362, x360, x313, x344);
662 uint32_t x363;
663 uint32_t x364;
664 fiat_p256_mulx_u32(&x363, &x364, x345, UINT32_C(0xffffffff));
665 uint32_t x365;
666 uint32_t x366;
667 fiat_p256_mulx_u32(&x365, &x366, x345, UINT32_C(0xffffffff));
668 uint32_t x367;
669 uint32_t x368;
670 fiat_p256_mulx_u32(&x367, &x368, x345, UINT32_C(0xffffffff));
671 uint32_t x369;
672 uint32_t x370;
673 fiat_p256_mulx_u32(&x369, &x370, x345, UINT32_C(0xffffffff));
674 uint32_t x371;
675 fiat_p256_uint1 x372;
676 fiat_p256_addcarryx_u32(&x371, &x372, 0x0, x370, x367);
677 uint32_t x373;
678 fiat_p256_uint1 x374;
679 fiat_p256_addcarryx_u32(&x373, &x374, x372, x368, x365);
680 uint32_t x375 = (x374 + x366);
681 uint32_t x376;
682 fiat_p256_uint1 x377;
683 fiat_p256_addcarryx_u32(&x376, &x377, 0x0, x345, x369);
684 uint32_t x378;
685 fiat_p256_uint1 x379;
686 fiat_p256_addcarryx_u32(&x378, &x379, x377, x347, x371);
687 uint32_t x380;
688 fiat_p256_uint1 x381;
689 fiat_p256_addcarryx_u32(&x380, &x381, x379, x349, x373);
690 uint32_t x382;
691 fiat_p256_uint1 x383;
692 fiat_p256_addcarryx_u32(&x382, &x383, x381, x351, x375);
693 uint32_t x384;
694 fiat_p256_uint1 x385;
695 fiat_p256_addcarryx_u32(&x384, &x385, x383, x353, 0x0);
696 uint32_t x386;
697 fiat_p256_uint1 x387;
698 fiat_p256_addcarryx_u32(&x386, &x387, x385, x355, 0x0);
699 uint32_t x388;
700 fiat_p256_uint1 x389;
701 fiat_p256_addcarryx_u32(&x388, &x389, x387, x357, x345);
702 uint32_t x390;
703 fiat_p256_uint1 x391;
704 fiat_p256_addcarryx_u32(&x390, &x391, x389, x359, x363);
705 uint32_t x392;
706 fiat_p256_uint1 x393;
707 fiat_p256_addcarryx_u32(&x392, &x393, x391, x361, x364);
708 uint32_t x394 = ((uint32_t)x393 + x362);
709 uint32_t x395;
710 uint32_t x396;
711 fiat_p256_mulx_u32(&x395, &x396, x5, (arg2[7]));
712 uint32_t x397;
713 uint32_t x398;
714 fiat_p256_mulx_u32(&x397, &x398, x5, (arg2[6]));
715 uint32_t x399;
716 uint32_t x400;
717 fiat_p256_mulx_u32(&x399, &x400, x5, (arg2[5]));
718 uint32_t x401;
719 uint32_t x402;
720 fiat_p256_mulx_u32(&x401, &x402, x5, (arg2[4]));
721 uint32_t x403;
722 uint32_t x404;
723 fiat_p256_mulx_u32(&x403, &x404, x5, (arg2[3]));
724 uint32_t x405;
725 uint32_t x406;
726 fiat_p256_mulx_u32(&x405, &x406, x5, (arg2[2]));
727 uint32_t x407;
728 uint32_t x408;
729 fiat_p256_mulx_u32(&x407, &x408, x5, (arg2[1]));
730 uint32_t x409;
731 uint32_t x410;
732 fiat_p256_mulx_u32(&x409, &x410, x5, (arg2[0]));
733 uint32_t x411;
734 fiat_p256_uint1 x412;
735 fiat_p256_addcarryx_u32(&x411, &x412, 0x0, x410, x407);
736 uint32_t x413;
737 fiat_p256_uint1 x414;
738 fiat_p256_addcarryx_u32(&x413, &x414, x412, x408, x405);
739 uint32_t x415;
740 fiat_p256_uint1 x416;
741 fiat_p256_addcarryx_u32(&x415, &x416, x414, x406, x403);
742 uint32_t x417;
743 fiat_p256_uint1 x418;
744 fiat_p256_addcarryx_u32(&x417, &x418, x416, x404, x401);
745 uint32_t x419;
746 fiat_p256_uint1 x420;
747 fiat_p256_addcarryx_u32(&x419, &x420, x418, x402, x399);
748 uint32_t x421;
749 fiat_p256_uint1 x422;
750 fiat_p256_addcarryx_u32(&x421, &x422, x420, x400, x397);
751 uint32_t x423;
752 fiat_p256_uint1 x424;
753 fiat_p256_addcarryx_u32(&x423, &x424, x422, x398, x395);
754 uint32_t x425 = (x424 + x396);
755 uint32_t x426;
756 fiat_p256_uint1 x427;
757 fiat_p256_addcarryx_u32(&x426, &x427, 0x0, x378, x409);
758 uint32_t x428;
759 fiat_p256_uint1 x429;
760 fiat_p256_addcarryx_u32(&x428, &x429, x427, x380, x411);
761 uint32_t x430;
762 fiat_p256_uint1 x431;
763 fiat_p256_addcarryx_u32(&x430, &x431, x429, x382, x413);
764 uint32_t x432;
765 fiat_p256_uint1 x433;
766 fiat_p256_addcarryx_u32(&x432, &x433, x431, x384, x415);
767 uint32_t x434;
768 fiat_p256_uint1 x435;
769 fiat_p256_addcarryx_u32(&x434, &x435, x433, x386, x417);
770 uint32_t x436;
771 fiat_p256_uint1 x437;
772 fiat_p256_addcarryx_u32(&x436, &x437, x435, x388, x419);
773 uint32_t x438;
774 fiat_p256_uint1 x439;
775 fiat_p256_addcarryx_u32(&x438, &x439, x437, x390, x421);
776 uint32_t x440;
777 fiat_p256_uint1 x441;
778 fiat_p256_addcarryx_u32(&x440, &x441, x439, x392, x423);
779 uint32_t x442;
780 fiat_p256_uint1 x443;
781 fiat_p256_addcarryx_u32(&x442, &x443, x441, x394, x425);
782 uint32_t x444;
783 uint32_t x445;
784 fiat_p256_mulx_u32(&x444, &x445, x426, UINT32_C(0xffffffff));
785 uint32_t x446;
786 uint32_t x447;
787 fiat_p256_mulx_u32(&x446, &x447, x426, UINT32_C(0xffffffff));
788 uint32_t x448;
789 uint32_t x449;
790 fiat_p256_mulx_u32(&x448, &x449, x426, UINT32_C(0xffffffff));
791 uint32_t x450;
792 uint32_t x451;
793 fiat_p256_mulx_u32(&x450, &x451, x426, UINT32_C(0xffffffff));
794 uint32_t x452;
795 fiat_p256_uint1 x453;
796 fiat_p256_addcarryx_u32(&x452, &x453, 0x0, x451, x448);
797 uint32_t x454;
798 fiat_p256_uint1 x455;
799 fiat_p256_addcarryx_u32(&x454, &x455, x453, x449, x446);
800 uint32_t x456 = (x455 + x447);
801 uint32_t x457;
802 fiat_p256_uint1 x458;
803 fiat_p256_addcarryx_u32(&x457, &x458, 0x0, x426, x450);
804 uint32_t x459;
805 fiat_p256_uint1 x460;
806 fiat_p256_addcarryx_u32(&x459, &x460, x458, x428, x452);
807 uint32_t x461;
808 fiat_p256_uint1 x462;
809 fiat_p256_addcarryx_u32(&x461, &x462, x460, x430, x454);
810 uint32_t x463;
811 fiat_p256_uint1 x464;
812 fiat_p256_addcarryx_u32(&x463, &x464, x462, x432, x456);
813 uint32_t x465;
814 fiat_p256_uint1 x466;
815 fiat_p256_addcarryx_u32(&x465, &x466, x464, x434, 0x0);
816 uint32_t x467;
817 fiat_p256_uint1 x468;
818 fiat_p256_addcarryx_u32(&x467, &x468, x466, x436, 0x0);
819 uint32_t x469;
820 fiat_p256_uint1 x470;
821 fiat_p256_addcarryx_u32(&x469, &x470, x468, x438, x426);
822 uint32_t x471;
823 fiat_p256_uint1 x472;
824 fiat_p256_addcarryx_u32(&x471, &x472, x470, x440, x444);
825 uint32_t x473;
826 fiat_p256_uint1 x474;
827 fiat_p256_addcarryx_u32(&x473, &x474, x472, x442, x445);
828 uint32_t x475 = ((uint32_t)x474 + x443);
829 uint32_t x476;
830 uint32_t x477;
831 fiat_p256_mulx_u32(&x476, &x477, x6, (arg2[7]));
832 uint32_t x478;
833 uint32_t x479;
834 fiat_p256_mulx_u32(&x478, &x479, x6, (arg2[6]));
835 uint32_t x480;
836 uint32_t x481;
837 fiat_p256_mulx_u32(&x480, &x481, x6, (arg2[5]));
838 uint32_t x482;
839 uint32_t x483;
840 fiat_p256_mulx_u32(&x482, &x483, x6, (arg2[4]));
841 uint32_t x484;
842 uint32_t x485;
843 fiat_p256_mulx_u32(&x484, &x485, x6, (arg2[3]));
844 uint32_t x486;
845 uint32_t x487;
846 fiat_p256_mulx_u32(&x486, &x487, x6, (arg2[2]));
847 uint32_t x488;
848 uint32_t x489;
849 fiat_p256_mulx_u32(&x488, &x489, x6, (arg2[1]));
850 uint32_t x490;
851 uint32_t x491;
852 fiat_p256_mulx_u32(&x490, &x491, x6, (arg2[0]));
853 uint32_t x492;
854 fiat_p256_uint1 x493;
855 fiat_p256_addcarryx_u32(&x492, &x493, 0x0, x491, x488);
856 uint32_t x494;
857 fiat_p256_uint1 x495;
858 fiat_p256_addcarryx_u32(&x494, &x495, x493, x489, x486);
859 uint32_t x496;
860 fiat_p256_uint1 x497;
861 fiat_p256_addcarryx_u32(&x496, &x497, x495, x487, x484);
862 uint32_t x498;
863 fiat_p256_uint1 x499;
864 fiat_p256_addcarryx_u32(&x498, &x499, x497, x485, x482);
865 uint32_t x500;
866 fiat_p256_uint1 x501;
867 fiat_p256_addcarryx_u32(&x500, &x501, x499, x483, x480);
868 uint32_t x502;
869 fiat_p256_uint1 x503;
870 fiat_p256_addcarryx_u32(&x502, &x503, x501, x481, x478);
871 uint32_t x504;
872 fiat_p256_uint1 x505;
873 fiat_p256_addcarryx_u32(&x504, &x505, x503, x479, x476);
874 uint32_t x506 = (x505 + x477);
875 uint32_t x507;
876 fiat_p256_uint1 x508;
877 fiat_p256_addcarryx_u32(&x507, &x508, 0x0, x459, x490);
878 uint32_t x509;
879 fiat_p256_uint1 x510;
880 fiat_p256_addcarryx_u32(&x509, &x510, x508, x461, x492);
881 uint32_t x511;
882 fiat_p256_uint1 x512;
883 fiat_p256_addcarryx_u32(&x511, &x512, x510, x463, x494);
884 uint32_t x513;
885 fiat_p256_uint1 x514;
886 fiat_p256_addcarryx_u32(&x513, &x514, x512, x465, x496);
887 uint32_t x515;
888 fiat_p256_uint1 x516;
889 fiat_p256_addcarryx_u32(&x515, &x516, x514, x467, x498);
890 uint32_t x517;
891 fiat_p256_uint1 x518;
892 fiat_p256_addcarryx_u32(&x517, &x518, x516, x469, x500);
893 uint32_t x519;
894 fiat_p256_uint1 x520;
895 fiat_p256_addcarryx_u32(&x519, &x520, x518, x471, x502);
896 uint32_t x521;
897 fiat_p256_uint1 x522;
898 fiat_p256_addcarryx_u32(&x521, &x522, x520, x473, x504);
899 uint32_t x523;
900 fiat_p256_uint1 x524;
901 fiat_p256_addcarryx_u32(&x523, &x524, x522, x475, x506);
902 uint32_t x525;
903 uint32_t x526;
904 fiat_p256_mulx_u32(&x525, &x526, x507, UINT32_C(0xffffffff));
905 uint32_t x527;
906 uint32_t x528;
907 fiat_p256_mulx_u32(&x527, &x528, x507, UINT32_C(0xffffffff));
908 uint32_t x529;
909 uint32_t x530;
910 fiat_p256_mulx_u32(&x529, &x530, x507, UINT32_C(0xffffffff));
911 uint32_t x531;
912 uint32_t x532;
913 fiat_p256_mulx_u32(&x531, &x532, x507, UINT32_C(0xffffffff));
914 uint32_t x533;
915 fiat_p256_uint1 x534;
916 fiat_p256_addcarryx_u32(&x533, &x534, 0x0, x532, x529);
917 uint32_t x535;
918 fiat_p256_uint1 x536;
919 fiat_p256_addcarryx_u32(&x535, &x536, x534, x530, x527);
920 uint32_t x537 = (x536 + x528);
921 uint32_t x538;
922 fiat_p256_uint1 x539;
923 fiat_p256_addcarryx_u32(&x538, &x539, 0x0, x507, x531);
924 uint32_t x540;
925 fiat_p256_uint1 x541;
926 fiat_p256_addcarryx_u32(&x540, &x541, x539, x509, x533);
927 uint32_t x542;
928 fiat_p256_uint1 x543;
929 fiat_p256_addcarryx_u32(&x542, &x543, x541, x511, x535);
930 uint32_t x544;
931 fiat_p256_uint1 x545;
932 fiat_p256_addcarryx_u32(&x544, &x545, x543, x513, x537);
933 uint32_t x546;
934 fiat_p256_uint1 x547;
935 fiat_p256_addcarryx_u32(&x546, &x547, x545, x515, 0x0);
936 uint32_t x548;
937 fiat_p256_uint1 x549;
938 fiat_p256_addcarryx_u32(&x548, &x549, x547, x517, 0x0);
939 uint32_t x550;
940 fiat_p256_uint1 x551;
941 fiat_p256_addcarryx_u32(&x550, &x551, x549, x519, x507);
942 uint32_t x552;
943 fiat_p256_uint1 x553;
944 fiat_p256_addcarryx_u32(&x552, &x553, x551, x521, x525);
945 uint32_t x554;
946 fiat_p256_uint1 x555;
947 fiat_p256_addcarryx_u32(&x554, &x555, x553, x523, x526);
948 uint32_t x556 = ((uint32_t)x555 + x524);
949 uint32_t x557;
950 uint32_t x558;
951 fiat_p256_mulx_u32(&x557, &x558, x7, (arg2[7]));
952 uint32_t x559;
953 uint32_t x560;
954 fiat_p256_mulx_u32(&x559, &x560, x7, (arg2[6]));
955 uint32_t x561;
956 uint32_t x562;
957 fiat_p256_mulx_u32(&x561, &x562, x7, (arg2[5]));
958 uint32_t x563;
959 uint32_t x564;
960 fiat_p256_mulx_u32(&x563, &x564, x7, (arg2[4]));
961 uint32_t x565;
962 uint32_t x566;
963 fiat_p256_mulx_u32(&x565, &x566, x7, (arg2[3]));
964 uint32_t x567;
965 uint32_t x568;
966 fiat_p256_mulx_u32(&x567, &x568, x7, (arg2[2]));
967 uint32_t x569;
968 uint32_t x570;
969 fiat_p256_mulx_u32(&x569, &x570, x7, (arg2[1]));
970 uint32_t x571;
971 uint32_t x572;
972 fiat_p256_mulx_u32(&x571, &x572, x7, (arg2[0]));
973 uint32_t x573;
974 fiat_p256_uint1 x574;
975 fiat_p256_addcarryx_u32(&x573, &x574, 0x0, x572, x569);
976 uint32_t x575;
977 fiat_p256_uint1 x576;
978 fiat_p256_addcarryx_u32(&x575, &x576, x574, x570, x567);
979 uint32_t x577;
980 fiat_p256_uint1 x578;
981 fiat_p256_addcarryx_u32(&x577, &x578, x576, x568, x565);
982 uint32_t x579;
983 fiat_p256_uint1 x580;
984 fiat_p256_addcarryx_u32(&x579, &x580, x578, x566, x563);
985 uint32_t x581;
986 fiat_p256_uint1 x582;
987 fiat_p256_addcarryx_u32(&x581, &x582, x580, x564, x561);
988 uint32_t x583;
989 fiat_p256_uint1 x584;
990 fiat_p256_addcarryx_u32(&x583, &x584, x582, x562, x559);
991 uint32_t x585;
992 fiat_p256_uint1 x586;
993 fiat_p256_addcarryx_u32(&x585, &x586, x584, x560, x557);
994 uint32_t x587 = (x586 + x558);
995 uint32_t x588;
996 fiat_p256_uint1 x589;
997 fiat_p256_addcarryx_u32(&x588, &x589, 0x0, x540, x571);
998 uint32_t x590;
999 fiat_p256_uint1 x591;
1000 fiat_p256_addcarryx_u32(&x590, &x591, x589, x542, x573);
1001 uint32_t x592;
1002 fiat_p256_uint1 x593;
1003 fiat_p256_addcarryx_u32(&x592, &x593, x591, x544, x575);
1004 uint32_t x594;
1005 fiat_p256_uint1 x595;
1006 fiat_p256_addcarryx_u32(&x594, &x595, x593, x546, x577);
1007 uint32_t x596;
1008 fiat_p256_uint1 x597;
1009 fiat_p256_addcarryx_u32(&x596, &x597, x595, x548, x579);
1010 uint32_t x598;
1011 fiat_p256_uint1 x599;
1012 fiat_p256_addcarryx_u32(&x598, &x599, x597, x550, x581);
1013 uint32_t x600;
1014 fiat_p256_uint1 x601;
1015 fiat_p256_addcarryx_u32(&x600, &x601, x599, x552, x583);
1016 uint32_t x602;
1017 fiat_p256_uint1 x603;
1018 fiat_p256_addcarryx_u32(&x602, &x603, x601, x554, x585);
1019 uint32_t x604;
1020 fiat_p256_uint1 x605;
1021 fiat_p256_addcarryx_u32(&x604, &x605, x603, x556, x587);
1022 uint32_t x606;
1023 uint32_t x607;
1024 fiat_p256_mulx_u32(&x606, &x607, x588, UINT32_C(0xffffffff));
1025 uint32_t x608;
1026 uint32_t x609;
1027 fiat_p256_mulx_u32(&x608, &x609, x588, UINT32_C(0xffffffff));
1028 uint32_t x610;
1029 uint32_t x611;
1030 fiat_p256_mulx_u32(&x610, &x611, x588, UINT32_C(0xffffffff));
1031 uint32_t x612;
1032 uint32_t x613;
1033 fiat_p256_mulx_u32(&x612, &x613, x588, UINT32_C(0xffffffff));
1034 uint32_t x614;
1035 fiat_p256_uint1 x615;
1036 fiat_p256_addcarryx_u32(&x614, &x615, 0x0, x613, x610);
1037 uint32_t x616;
1038 fiat_p256_uint1 x617;
1039 fiat_p256_addcarryx_u32(&x616, &x617, x615, x611, x608);
1040 uint32_t x618 = (x617 + x609);
1041 uint32_t x619;
1042 fiat_p256_uint1 x620;
1043 fiat_p256_addcarryx_u32(&x619, &x620, 0x0, x588, x612);
1044 uint32_t x621;
1045 fiat_p256_uint1 x622;
1046 fiat_p256_addcarryx_u32(&x621, &x622, x620, x590, x614);
1047 uint32_t x623;
1048 fiat_p256_uint1 x624;
1049 fiat_p256_addcarryx_u32(&x623, &x624, x622, x592, x616);
1050 uint32_t x625;
1051 fiat_p256_uint1 x626;
1052 fiat_p256_addcarryx_u32(&x625, &x626, x624, x594, x618);
1053 uint32_t x627;
1054 fiat_p256_uint1 x628;
1055 fiat_p256_addcarryx_u32(&x627, &x628, x626, x596, 0x0);
1056 uint32_t x629;
1057 fiat_p256_uint1 x630;
1058 fiat_p256_addcarryx_u32(&x629, &x630, x628, x598, 0x0);
1059 uint32_t x631;
1060 fiat_p256_uint1 x632;
1061 fiat_p256_addcarryx_u32(&x631, &x632, x630, x600, x588);
1062 uint32_t x633;
1063 fiat_p256_uint1 x634;
1064 fiat_p256_addcarryx_u32(&x633, &x634, x632, x602, x606);
1065 uint32_t x635;
1066 fiat_p256_uint1 x636;
1067 fiat_p256_addcarryx_u32(&x635, &x636, x634, x604, x607);
1068 uint32_t x637 = ((uint32_t)x636 + x605);
1069 uint32_t x638;
1070 fiat_p256_uint1 x639;
1071 fiat_p256_subborrowx_u32(&x638, &x639, 0x0, x621, UINT32_C(0xffffffff));
1072 uint32_t x640;
1073 fiat_p256_uint1 x641;
1074 fiat_p256_subborrowx_u32(&x640, &x641, x639, x623, UINT32_C(0xffffffff));
1075 uint32_t x642;
1076 fiat_p256_uint1 x643;
1077 fiat_p256_subborrowx_u32(&x642, &x643, x641, x625, UINT32_C(0xffffffff));
1078 uint32_t x644;
1079 fiat_p256_uint1 x645;
1080 fiat_p256_subborrowx_u32(&x644, &x645, x643, x627, 0x0);
1081 uint32_t x646;
1082 fiat_p256_uint1 x647;
1083 fiat_p256_subborrowx_u32(&x646, &x647, x645, x629, 0x0);
1084 uint32_t x648;
1085 fiat_p256_uint1 x649;
1086 fiat_p256_subborrowx_u32(&x648, &x649, x647, x631, 0x0);
1087 uint32_t x650;
1088 fiat_p256_uint1 x651;
1089 fiat_p256_subborrowx_u32(&x650, &x651, x649, x633, 0x1);
1090 uint32_t x652;
1091 fiat_p256_uint1 x653;
1092 fiat_p256_subborrowx_u32(&x652, &x653, x651, x635, UINT32_C(0xffffffff));
1093 uint32_t x654;
1094 fiat_p256_uint1 x655;
1095 fiat_p256_subborrowx_u32(&x654, &x655, x653, x637, 0x0);
1096 uint32_t x656;
1097 fiat_p256_cmovznz_u32(&x656, x655, x638, x621);
1098 uint32_t x657;
1099 fiat_p256_cmovznz_u32(&x657, x655, x640, x623);
1100 uint32_t x658;
1101 fiat_p256_cmovznz_u32(&x658, x655, x642, x625);
1102 uint32_t x659;
1103 fiat_p256_cmovznz_u32(&x659, x655, x644, x627);
1104 uint32_t x660;
1105 fiat_p256_cmovznz_u32(&x660, x655, x646, x629);
1106 uint32_t x661;
1107 fiat_p256_cmovznz_u32(&x661, x655, x648, x631);
1108 uint32_t x662;
1109 fiat_p256_cmovznz_u32(&x662, x655, x650, x633);
1110 uint32_t x663;
1111 fiat_p256_cmovznz_u32(&x663, x655, x652, x635);
1112 out1[0] = x656;
1113 out1[1] = x657;
1114 out1[2] = x658;
1115 out1[3] = x659;
1116 out1[4] = x660;
1117 out1[5] = x661;
1118 out1[6] = x662;
1119 out1[7] = x663;
1120 }
1121
1122 /*
1123 * The function fiat_p256_square squares a field element in the Montgomery domain.
1124 * Preconditions:
1125 * 0 ≤ eval arg1 < m
1126 * Postconditions:
1127 * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
1128 * 0 ≤ eval out1 < m
1129 *
1130 * Input Bounds:
1131 * arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
1132 * Output Bounds:
1133 * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
1134 */
fiat_p256_square(uint32_t out1[8],const uint32_t arg1[8])1135 static void fiat_p256_square(uint32_t out1[8], const uint32_t arg1[8]) {
1136 uint32_t x1 = (arg1[1]);
1137 uint32_t x2 = (arg1[2]);
1138 uint32_t x3 = (arg1[3]);
1139 uint32_t x4 = (arg1[4]);
1140 uint32_t x5 = (arg1[5]);
1141 uint32_t x6 = (arg1[6]);
1142 uint32_t x7 = (arg1[7]);
1143 uint32_t x8 = (arg1[0]);
1144 uint32_t x9;
1145 uint32_t x10;
1146 fiat_p256_mulx_u32(&x9, &x10, x8, (arg1[7]));
1147 uint32_t x11;
1148 uint32_t x12;
1149 fiat_p256_mulx_u32(&x11, &x12, x8, (arg1[6]));
1150 uint32_t x13;
1151 uint32_t x14;
1152 fiat_p256_mulx_u32(&x13, &x14, x8, (arg1[5]));
1153 uint32_t x15;
1154 uint32_t x16;
1155 fiat_p256_mulx_u32(&x15, &x16, x8, (arg1[4]));
1156 uint32_t x17;
1157 uint32_t x18;
1158 fiat_p256_mulx_u32(&x17, &x18, x8, (arg1[3]));
1159 uint32_t x19;
1160 uint32_t x20;
1161 fiat_p256_mulx_u32(&x19, &x20, x8, (arg1[2]));
1162 uint32_t x21;
1163 uint32_t x22;
1164 fiat_p256_mulx_u32(&x21, &x22, x8, (arg1[1]));
1165 uint32_t x23;
1166 uint32_t x24;
1167 fiat_p256_mulx_u32(&x23, &x24, x8, (arg1[0]));
1168 uint32_t x25;
1169 fiat_p256_uint1 x26;
1170 fiat_p256_addcarryx_u32(&x25, &x26, 0x0, x24, x21);
1171 uint32_t x27;
1172 fiat_p256_uint1 x28;
1173 fiat_p256_addcarryx_u32(&x27, &x28, x26, x22, x19);
1174 uint32_t x29;
1175 fiat_p256_uint1 x30;
1176 fiat_p256_addcarryx_u32(&x29, &x30, x28, x20, x17);
1177 uint32_t x31;
1178 fiat_p256_uint1 x32;
1179 fiat_p256_addcarryx_u32(&x31, &x32, x30, x18, x15);
1180 uint32_t x33;
1181 fiat_p256_uint1 x34;
1182 fiat_p256_addcarryx_u32(&x33, &x34, x32, x16, x13);
1183 uint32_t x35;
1184 fiat_p256_uint1 x36;
1185 fiat_p256_addcarryx_u32(&x35, &x36, x34, x14, x11);
1186 uint32_t x37;
1187 fiat_p256_uint1 x38;
1188 fiat_p256_addcarryx_u32(&x37, &x38, x36, x12, x9);
1189 uint32_t x39 = (x38 + x10);
1190 uint32_t x40;
1191 uint32_t x41;
1192 fiat_p256_mulx_u32(&x40, &x41, x23, UINT32_C(0xffffffff));
1193 uint32_t x42;
1194 uint32_t x43;
1195 fiat_p256_mulx_u32(&x42, &x43, x23, UINT32_C(0xffffffff));
1196 uint32_t x44;
1197 uint32_t x45;
1198 fiat_p256_mulx_u32(&x44, &x45, x23, UINT32_C(0xffffffff));
1199 uint32_t x46;
1200 uint32_t x47;
1201 fiat_p256_mulx_u32(&x46, &x47, x23, UINT32_C(0xffffffff));
1202 uint32_t x48;
1203 fiat_p256_uint1 x49;
1204 fiat_p256_addcarryx_u32(&x48, &x49, 0x0, x47, x44);
1205 uint32_t x50;
1206 fiat_p256_uint1 x51;
1207 fiat_p256_addcarryx_u32(&x50, &x51, x49, x45, x42);
1208 uint32_t x52 = (x51 + x43);
1209 uint32_t x53;
1210 fiat_p256_uint1 x54;
1211 fiat_p256_addcarryx_u32(&x53, &x54, 0x0, x23, x46);
1212 uint32_t x55;
1213 fiat_p256_uint1 x56;
1214 fiat_p256_addcarryx_u32(&x55, &x56, x54, x25, x48);
1215 uint32_t x57;
1216 fiat_p256_uint1 x58;
1217 fiat_p256_addcarryx_u32(&x57, &x58, x56, x27, x50);
1218 uint32_t x59;
1219 fiat_p256_uint1 x60;
1220 fiat_p256_addcarryx_u32(&x59, &x60, x58, x29, x52);
1221 uint32_t x61;
1222 fiat_p256_uint1 x62;
1223 fiat_p256_addcarryx_u32(&x61, &x62, x60, x31, 0x0);
1224 uint32_t x63;
1225 fiat_p256_uint1 x64;
1226 fiat_p256_addcarryx_u32(&x63, &x64, x62, x33, 0x0);
1227 uint32_t x65;
1228 fiat_p256_uint1 x66;
1229 fiat_p256_addcarryx_u32(&x65, &x66, x64, x35, x23);
1230 uint32_t x67;
1231 fiat_p256_uint1 x68;
1232 fiat_p256_addcarryx_u32(&x67, &x68, x66, x37, x40);
1233 uint32_t x69;
1234 fiat_p256_uint1 x70;
1235 fiat_p256_addcarryx_u32(&x69, &x70, x68, x39, x41);
1236 uint32_t x71;
1237 uint32_t x72;
1238 fiat_p256_mulx_u32(&x71, &x72, x1, (arg1[7]));
1239 uint32_t x73;
1240 uint32_t x74;
1241 fiat_p256_mulx_u32(&x73, &x74, x1, (arg1[6]));
1242 uint32_t x75;
1243 uint32_t x76;
1244 fiat_p256_mulx_u32(&x75, &x76, x1, (arg1[5]));
1245 uint32_t x77;
1246 uint32_t x78;
1247 fiat_p256_mulx_u32(&x77, &x78, x1, (arg1[4]));
1248 uint32_t x79;
1249 uint32_t x80;
1250 fiat_p256_mulx_u32(&x79, &x80, x1, (arg1[3]));
1251 uint32_t x81;
1252 uint32_t x82;
1253 fiat_p256_mulx_u32(&x81, &x82, x1, (arg1[2]));
1254 uint32_t x83;
1255 uint32_t x84;
1256 fiat_p256_mulx_u32(&x83, &x84, x1, (arg1[1]));
1257 uint32_t x85;
1258 uint32_t x86;
1259 fiat_p256_mulx_u32(&x85, &x86, x1, (arg1[0]));
1260 uint32_t x87;
1261 fiat_p256_uint1 x88;
1262 fiat_p256_addcarryx_u32(&x87, &x88, 0x0, x86, x83);
1263 uint32_t x89;
1264 fiat_p256_uint1 x90;
1265 fiat_p256_addcarryx_u32(&x89, &x90, x88, x84, x81);
1266 uint32_t x91;
1267 fiat_p256_uint1 x92;
1268 fiat_p256_addcarryx_u32(&x91, &x92, x90, x82, x79);
1269 uint32_t x93;
1270 fiat_p256_uint1 x94;
1271 fiat_p256_addcarryx_u32(&x93, &x94, x92, x80, x77);
1272 uint32_t x95;
1273 fiat_p256_uint1 x96;
1274 fiat_p256_addcarryx_u32(&x95, &x96, x94, x78, x75);
1275 uint32_t x97;
1276 fiat_p256_uint1 x98;
1277 fiat_p256_addcarryx_u32(&x97, &x98, x96, x76, x73);
1278 uint32_t x99;
1279 fiat_p256_uint1 x100;
1280 fiat_p256_addcarryx_u32(&x99, &x100, x98, x74, x71);
1281 uint32_t x101 = (x100 + x72);
1282 uint32_t x102;
1283 fiat_p256_uint1 x103;
1284 fiat_p256_addcarryx_u32(&x102, &x103, 0x0, x55, x85);
1285 uint32_t x104;
1286 fiat_p256_uint1 x105;
1287 fiat_p256_addcarryx_u32(&x104, &x105, x103, x57, x87);
1288 uint32_t x106;
1289 fiat_p256_uint1 x107;
1290 fiat_p256_addcarryx_u32(&x106, &x107, x105, x59, x89);
1291 uint32_t x108;
1292 fiat_p256_uint1 x109;
1293 fiat_p256_addcarryx_u32(&x108, &x109, x107, x61, x91);
1294 uint32_t x110;
1295 fiat_p256_uint1 x111;
1296 fiat_p256_addcarryx_u32(&x110, &x111, x109, x63, x93);
1297 uint32_t x112;
1298 fiat_p256_uint1 x113;
1299 fiat_p256_addcarryx_u32(&x112, &x113, x111, x65, x95);
1300 uint32_t x114;
1301 fiat_p256_uint1 x115;
1302 fiat_p256_addcarryx_u32(&x114, &x115, x113, x67, x97);
1303 uint32_t x116;
1304 fiat_p256_uint1 x117;
1305 fiat_p256_addcarryx_u32(&x116, &x117, x115, x69, x99);
1306 uint32_t x118;
1307 fiat_p256_uint1 x119;
1308 fiat_p256_addcarryx_u32(&x118, &x119, x117, x70, x101);
1309 uint32_t x120;
1310 uint32_t x121;
1311 fiat_p256_mulx_u32(&x120, &x121, x102, UINT32_C(0xffffffff));
1312 uint32_t x122;
1313 uint32_t x123;
1314 fiat_p256_mulx_u32(&x122, &x123, x102, UINT32_C(0xffffffff));
1315 uint32_t x124;
1316 uint32_t x125;
1317 fiat_p256_mulx_u32(&x124, &x125, x102, UINT32_C(0xffffffff));
1318 uint32_t x126;
1319 uint32_t x127;
1320 fiat_p256_mulx_u32(&x126, &x127, x102, UINT32_C(0xffffffff));
1321 uint32_t x128;
1322 fiat_p256_uint1 x129;
1323 fiat_p256_addcarryx_u32(&x128, &x129, 0x0, x127, x124);
1324 uint32_t x130;
1325 fiat_p256_uint1 x131;
1326 fiat_p256_addcarryx_u32(&x130, &x131, x129, x125, x122);
1327 uint32_t x132 = (x131 + x123);
1328 uint32_t x133;
1329 fiat_p256_uint1 x134;
1330 fiat_p256_addcarryx_u32(&x133, &x134, 0x0, x102, x126);
1331 uint32_t x135;
1332 fiat_p256_uint1 x136;
1333 fiat_p256_addcarryx_u32(&x135, &x136, x134, x104, x128);
1334 uint32_t x137;
1335 fiat_p256_uint1 x138;
1336 fiat_p256_addcarryx_u32(&x137, &x138, x136, x106, x130);
1337 uint32_t x139;
1338 fiat_p256_uint1 x140;
1339 fiat_p256_addcarryx_u32(&x139, &x140, x138, x108, x132);
1340 uint32_t x141;
1341 fiat_p256_uint1 x142;
1342 fiat_p256_addcarryx_u32(&x141, &x142, x140, x110, 0x0);
1343 uint32_t x143;
1344 fiat_p256_uint1 x144;
1345 fiat_p256_addcarryx_u32(&x143, &x144, x142, x112, 0x0);
1346 uint32_t x145;
1347 fiat_p256_uint1 x146;
1348 fiat_p256_addcarryx_u32(&x145, &x146, x144, x114, x102);
1349 uint32_t x147;
1350 fiat_p256_uint1 x148;
1351 fiat_p256_addcarryx_u32(&x147, &x148, x146, x116, x120);
1352 uint32_t x149;
1353 fiat_p256_uint1 x150;
1354 fiat_p256_addcarryx_u32(&x149, &x150, x148, x118, x121);
1355 uint32_t x151 = ((uint32_t)x150 + x119);
1356 uint32_t x152;
1357 uint32_t x153;
1358 fiat_p256_mulx_u32(&x152, &x153, x2, (arg1[7]));
1359 uint32_t x154;
1360 uint32_t x155;
1361 fiat_p256_mulx_u32(&x154, &x155, x2, (arg1[6]));
1362 uint32_t x156;
1363 uint32_t x157;
1364 fiat_p256_mulx_u32(&x156, &x157, x2, (arg1[5]));
1365 uint32_t x158;
1366 uint32_t x159;
1367 fiat_p256_mulx_u32(&x158, &x159, x2, (arg1[4]));
1368 uint32_t x160;
1369 uint32_t x161;
1370 fiat_p256_mulx_u32(&x160, &x161, x2, (arg1[3]));
1371 uint32_t x162;
1372 uint32_t x163;
1373 fiat_p256_mulx_u32(&x162, &x163, x2, (arg1[2]));
1374 uint32_t x164;
1375 uint32_t x165;
1376 fiat_p256_mulx_u32(&x164, &x165, x2, (arg1[1]));
1377 uint32_t x166;
1378 uint32_t x167;
1379 fiat_p256_mulx_u32(&x166, &x167, x2, (arg1[0]));
1380 uint32_t x168;
1381 fiat_p256_uint1 x169;
1382 fiat_p256_addcarryx_u32(&x168, &x169, 0x0, x167, x164);
1383 uint32_t x170;
1384 fiat_p256_uint1 x171;
1385 fiat_p256_addcarryx_u32(&x170, &x171, x169, x165, x162);
1386 uint32_t x172;
1387 fiat_p256_uint1 x173;
1388 fiat_p256_addcarryx_u32(&x172, &x173, x171, x163, x160);
1389 uint32_t x174;
1390 fiat_p256_uint1 x175;
1391 fiat_p256_addcarryx_u32(&x174, &x175, x173, x161, x158);
1392 uint32_t x176;
1393 fiat_p256_uint1 x177;
1394 fiat_p256_addcarryx_u32(&x176, &x177, x175, x159, x156);
1395 uint32_t x178;
1396 fiat_p256_uint1 x179;
1397 fiat_p256_addcarryx_u32(&x178, &x179, x177, x157, x154);
1398 uint32_t x180;
1399 fiat_p256_uint1 x181;
1400 fiat_p256_addcarryx_u32(&x180, &x181, x179, x155, x152);
1401 uint32_t x182 = (x181 + x153);
1402 uint32_t x183;
1403 fiat_p256_uint1 x184;
1404 fiat_p256_addcarryx_u32(&x183, &x184, 0x0, x135, x166);
1405 uint32_t x185;
1406 fiat_p256_uint1 x186;
1407 fiat_p256_addcarryx_u32(&x185, &x186, x184, x137, x168);
1408 uint32_t x187;
1409 fiat_p256_uint1 x188;
1410 fiat_p256_addcarryx_u32(&x187, &x188, x186, x139, x170);
1411 uint32_t x189;
1412 fiat_p256_uint1 x190;
1413 fiat_p256_addcarryx_u32(&x189, &x190, x188, x141, x172);
1414 uint32_t x191;
1415 fiat_p256_uint1 x192;
1416 fiat_p256_addcarryx_u32(&x191, &x192, x190, x143, x174);
1417 uint32_t x193;
1418 fiat_p256_uint1 x194;
1419 fiat_p256_addcarryx_u32(&x193, &x194, x192, x145, x176);
1420 uint32_t x195;
1421 fiat_p256_uint1 x196;
1422 fiat_p256_addcarryx_u32(&x195, &x196, x194, x147, x178);
1423 uint32_t x197;
1424 fiat_p256_uint1 x198;
1425 fiat_p256_addcarryx_u32(&x197, &x198, x196, x149, x180);
1426 uint32_t x199;
1427 fiat_p256_uint1 x200;
1428 fiat_p256_addcarryx_u32(&x199, &x200, x198, x151, x182);
1429 uint32_t x201;
1430 uint32_t x202;
1431 fiat_p256_mulx_u32(&x201, &x202, x183, UINT32_C(0xffffffff));
1432 uint32_t x203;
1433 uint32_t x204;
1434 fiat_p256_mulx_u32(&x203, &x204, x183, UINT32_C(0xffffffff));
1435 uint32_t x205;
1436 uint32_t x206;
1437 fiat_p256_mulx_u32(&x205, &x206, x183, UINT32_C(0xffffffff));
1438 uint32_t x207;
1439 uint32_t x208;
1440 fiat_p256_mulx_u32(&x207, &x208, x183, UINT32_C(0xffffffff));
1441 uint32_t x209;
1442 fiat_p256_uint1 x210;
1443 fiat_p256_addcarryx_u32(&x209, &x210, 0x0, x208, x205);
1444 uint32_t x211;
1445 fiat_p256_uint1 x212;
1446 fiat_p256_addcarryx_u32(&x211, &x212, x210, x206, x203);
1447 uint32_t x213 = (x212 + x204);
1448 uint32_t x214;
1449 fiat_p256_uint1 x215;
1450 fiat_p256_addcarryx_u32(&x214, &x215, 0x0, x183, x207);
1451 uint32_t x216;
1452 fiat_p256_uint1 x217;
1453 fiat_p256_addcarryx_u32(&x216, &x217, x215, x185, x209);
1454 uint32_t x218;
1455 fiat_p256_uint1 x219;
1456 fiat_p256_addcarryx_u32(&x218, &x219, x217, x187, x211);
1457 uint32_t x220;
1458 fiat_p256_uint1 x221;
1459 fiat_p256_addcarryx_u32(&x220, &x221, x219, x189, x213);
1460 uint32_t x222;
1461 fiat_p256_uint1 x223;
1462 fiat_p256_addcarryx_u32(&x222, &x223, x221, x191, 0x0);
1463 uint32_t x224;
1464 fiat_p256_uint1 x225;
1465 fiat_p256_addcarryx_u32(&x224, &x225, x223, x193, 0x0);
1466 uint32_t x226;
1467 fiat_p256_uint1 x227;
1468 fiat_p256_addcarryx_u32(&x226, &x227, x225, x195, x183);
1469 uint32_t x228;
1470 fiat_p256_uint1 x229;
1471 fiat_p256_addcarryx_u32(&x228, &x229, x227, x197, x201);
1472 uint32_t x230;
1473 fiat_p256_uint1 x231;
1474 fiat_p256_addcarryx_u32(&x230, &x231, x229, x199, x202);
1475 uint32_t x232 = ((uint32_t)x231 + x200);
1476 uint32_t x233;
1477 uint32_t x234;
1478 fiat_p256_mulx_u32(&x233, &x234, x3, (arg1[7]));
1479 uint32_t x235;
1480 uint32_t x236;
1481 fiat_p256_mulx_u32(&x235, &x236, x3, (arg1[6]));
1482 uint32_t x237;
1483 uint32_t x238;
1484 fiat_p256_mulx_u32(&x237, &x238, x3, (arg1[5]));
1485 uint32_t x239;
1486 uint32_t x240;
1487 fiat_p256_mulx_u32(&x239, &x240, x3, (arg1[4]));
1488 uint32_t x241;
1489 uint32_t x242;
1490 fiat_p256_mulx_u32(&x241, &x242, x3, (arg1[3]));
1491 uint32_t x243;
1492 uint32_t x244;
1493 fiat_p256_mulx_u32(&x243, &x244, x3, (arg1[2]));
1494 uint32_t x245;
1495 uint32_t x246;
1496 fiat_p256_mulx_u32(&x245, &x246, x3, (arg1[1]));
1497 uint32_t x247;
1498 uint32_t x248;
1499 fiat_p256_mulx_u32(&x247, &x248, x3, (arg1[0]));
1500 uint32_t x249;
1501 fiat_p256_uint1 x250;
1502 fiat_p256_addcarryx_u32(&x249, &x250, 0x0, x248, x245);
1503 uint32_t x251;
1504 fiat_p256_uint1 x252;
1505 fiat_p256_addcarryx_u32(&x251, &x252, x250, x246, x243);
1506 uint32_t x253;
1507 fiat_p256_uint1 x254;
1508 fiat_p256_addcarryx_u32(&x253, &x254, x252, x244, x241);
1509 uint32_t x255;
1510 fiat_p256_uint1 x256;
1511 fiat_p256_addcarryx_u32(&x255, &x256, x254, x242, x239);
1512 uint32_t x257;
1513 fiat_p256_uint1 x258;
1514 fiat_p256_addcarryx_u32(&x257, &x258, x256, x240, x237);
1515 uint32_t x259;
1516 fiat_p256_uint1 x260;
1517 fiat_p256_addcarryx_u32(&x259, &x260, x258, x238, x235);
1518 uint32_t x261;
1519 fiat_p256_uint1 x262;
1520 fiat_p256_addcarryx_u32(&x261, &x262, x260, x236, x233);
1521 uint32_t x263 = (x262 + x234);
1522 uint32_t x264;
1523 fiat_p256_uint1 x265;
1524 fiat_p256_addcarryx_u32(&x264, &x265, 0x0, x216, x247);
1525 uint32_t x266;
1526 fiat_p256_uint1 x267;
1527 fiat_p256_addcarryx_u32(&x266, &x267, x265, x218, x249);
1528 uint32_t x268;
1529 fiat_p256_uint1 x269;
1530 fiat_p256_addcarryx_u32(&x268, &x269, x267, x220, x251);
1531 uint32_t x270;
1532 fiat_p256_uint1 x271;
1533 fiat_p256_addcarryx_u32(&x270, &x271, x269, x222, x253);
1534 uint32_t x272;
1535 fiat_p256_uint1 x273;
1536 fiat_p256_addcarryx_u32(&x272, &x273, x271, x224, x255);
1537 uint32_t x274;
1538 fiat_p256_uint1 x275;
1539 fiat_p256_addcarryx_u32(&x274, &x275, x273, x226, x257);
1540 uint32_t x276;
1541 fiat_p256_uint1 x277;
1542 fiat_p256_addcarryx_u32(&x276, &x277, x275, x228, x259);
1543 uint32_t x278;
1544 fiat_p256_uint1 x279;
1545 fiat_p256_addcarryx_u32(&x278, &x279, x277, x230, x261);
1546 uint32_t x280;
1547 fiat_p256_uint1 x281;
1548 fiat_p256_addcarryx_u32(&x280, &x281, x279, x232, x263);
1549 uint32_t x282;
1550 uint32_t x283;
1551 fiat_p256_mulx_u32(&x282, &x283, x264, UINT32_C(0xffffffff));
1552 uint32_t x284;
1553 uint32_t x285;
1554 fiat_p256_mulx_u32(&x284, &x285, x264, UINT32_C(0xffffffff));
1555 uint32_t x286;
1556 uint32_t x287;
1557 fiat_p256_mulx_u32(&x286, &x287, x264, UINT32_C(0xffffffff));
1558 uint32_t x288;
1559 uint32_t x289;
1560 fiat_p256_mulx_u32(&x288, &x289, x264, UINT32_C(0xffffffff));
1561 uint32_t x290;
1562 fiat_p256_uint1 x291;
1563 fiat_p256_addcarryx_u32(&x290, &x291, 0x0, x289, x286);
1564 uint32_t x292;
1565 fiat_p256_uint1 x293;
1566 fiat_p256_addcarryx_u32(&x292, &x293, x291, x287, x284);
1567 uint32_t x294 = (x293 + x285);
1568 uint32_t x295;
1569 fiat_p256_uint1 x296;
1570 fiat_p256_addcarryx_u32(&x295, &x296, 0x0, x264, x288);
1571 uint32_t x297;
1572 fiat_p256_uint1 x298;
1573 fiat_p256_addcarryx_u32(&x297, &x298, x296, x266, x290);
1574 uint32_t x299;
1575 fiat_p256_uint1 x300;
1576 fiat_p256_addcarryx_u32(&x299, &x300, x298, x268, x292);
1577 uint32_t x301;
1578 fiat_p256_uint1 x302;
1579 fiat_p256_addcarryx_u32(&x301, &x302, x300, x270, x294);
1580 uint32_t x303;
1581 fiat_p256_uint1 x304;
1582 fiat_p256_addcarryx_u32(&x303, &x304, x302, x272, 0x0);
1583 uint32_t x305;
1584 fiat_p256_uint1 x306;
1585 fiat_p256_addcarryx_u32(&x305, &x306, x304, x274, 0x0);
1586 uint32_t x307;
1587 fiat_p256_uint1 x308;
1588 fiat_p256_addcarryx_u32(&x307, &x308, x306, x276, x264);
1589 uint32_t x309;
1590 fiat_p256_uint1 x310;
1591 fiat_p256_addcarryx_u32(&x309, &x310, x308, x278, x282);
1592 uint32_t x311;
1593 fiat_p256_uint1 x312;
1594 fiat_p256_addcarryx_u32(&x311, &x312, x310, x280, x283);
1595 uint32_t x313 = ((uint32_t)x312 + x281);
1596 uint32_t x314;
1597 uint32_t x315;
1598 fiat_p256_mulx_u32(&x314, &x315, x4, (arg1[7]));
1599 uint32_t x316;
1600 uint32_t x317;
1601 fiat_p256_mulx_u32(&x316, &x317, x4, (arg1[6]));
1602 uint32_t x318;
1603 uint32_t x319;
1604 fiat_p256_mulx_u32(&x318, &x319, x4, (arg1[5]));
1605 uint32_t x320;
1606 uint32_t x321;
1607 fiat_p256_mulx_u32(&x320, &x321, x4, (arg1[4]));
1608 uint32_t x322;
1609 uint32_t x323;
1610 fiat_p256_mulx_u32(&x322, &x323, x4, (arg1[3]));
1611 uint32_t x324;
1612 uint32_t x325;
1613 fiat_p256_mulx_u32(&x324, &x325, x4, (arg1[2]));
1614 uint32_t x326;
1615 uint32_t x327;
1616 fiat_p256_mulx_u32(&x326, &x327, x4, (arg1[1]));
1617 uint32_t x328;
1618 uint32_t x329;
1619 fiat_p256_mulx_u32(&x328, &x329, x4, (arg1[0]));
1620 uint32_t x330;
1621 fiat_p256_uint1 x331;
1622 fiat_p256_addcarryx_u32(&x330, &x331, 0x0, x329, x326);
1623 uint32_t x332;
1624 fiat_p256_uint1 x333;
1625 fiat_p256_addcarryx_u32(&x332, &x333, x331, x327, x324);
1626 uint32_t x334;
1627 fiat_p256_uint1 x335;
1628 fiat_p256_addcarryx_u32(&x334, &x335, x333, x325, x322);
1629 uint32_t x336;
1630 fiat_p256_uint1 x337;
1631 fiat_p256_addcarryx_u32(&x336, &x337, x335, x323, x320);
1632 uint32_t x338;
1633 fiat_p256_uint1 x339;
1634 fiat_p256_addcarryx_u32(&x338, &x339, x337, x321, x318);
1635 uint32_t x340;
1636 fiat_p256_uint1 x341;
1637 fiat_p256_addcarryx_u32(&x340, &x341, x339, x319, x316);
1638 uint32_t x342;
1639 fiat_p256_uint1 x343;
1640 fiat_p256_addcarryx_u32(&x342, &x343, x341, x317, x314);
1641 uint32_t x344 = (x343 + x315);
1642 uint32_t x345;
1643 fiat_p256_uint1 x346;
1644 fiat_p256_addcarryx_u32(&x345, &x346, 0x0, x297, x328);
1645 uint32_t x347;
1646 fiat_p256_uint1 x348;
1647 fiat_p256_addcarryx_u32(&x347, &x348, x346, x299, x330);
1648 uint32_t x349;
1649 fiat_p256_uint1 x350;
1650 fiat_p256_addcarryx_u32(&x349, &x350, x348, x301, x332);
1651 uint32_t x351;
1652 fiat_p256_uint1 x352;
1653 fiat_p256_addcarryx_u32(&x351, &x352, x350, x303, x334);
1654 uint32_t x353;
1655 fiat_p256_uint1 x354;
1656 fiat_p256_addcarryx_u32(&x353, &x354, x352, x305, x336);
1657 uint32_t x355;
1658 fiat_p256_uint1 x356;
1659 fiat_p256_addcarryx_u32(&x355, &x356, x354, x307, x338);
1660 uint32_t x357;
1661 fiat_p256_uint1 x358;
1662 fiat_p256_addcarryx_u32(&x357, &x358, x356, x309, x340);
1663 uint32_t x359;
1664 fiat_p256_uint1 x360;
1665 fiat_p256_addcarryx_u32(&x359, &x360, x358, x311, x342);
1666 uint32_t x361;
1667 fiat_p256_uint1 x362;
1668 fiat_p256_addcarryx_u32(&x361, &x362, x360, x313, x344);
1669 uint32_t x363;
1670 uint32_t x364;
1671 fiat_p256_mulx_u32(&x363, &x364, x345, UINT32_C(0xffffffff));
1672 uint32_t x365;
1673 uint32_t x366;
1674 fiat_p256_mulx_u32(&x365, &x366, x345, UINT32_C(0xffffffff));
1675 uint32_t x367;
1676 uint32_t x368;
1677 fiat_p256_mulx_u32(&x367, &x368, x345, UINT32_C(0xffffffff));
1678 uint32_t x369;
1679 uint32_t x370;
1680 fiat_p256_mulx_u32(&x369, &x370, x345, UINT32_C(0xffffffff));
1681 uint32_t x371;
1682 fiat_p256_uint1 x372;
1683 fiat_p256_addcarryx_u32(&x371, &x372, 0x0, x370, x367);
1684 uint32_t x373;
1685 fiat_p256_uint1 x374;
1686 fiat_p256_addcarryx_u32(&x373, &x374, x372, x368, x365);
1687 uint32_t x375 = (x374 + x366);
1688 uint32_t x376;
1689 fiat_p256_uint1 x377;
1690 fiat_p256_addcarryx_u32(&x376, &x377, 0x0, x345, x369);
1691 uint32_t x378;
1692 fiat_p256_uint1 x379;
1693 fiat_p256_addcarryx_u32(&x378, &x379, x377, x347, x371);
1694 uint32_t x380;
1695 fiat_p256_uint1 x381;
1696 fiat_p256_addcarryx_u32(&x380, &x381, x379, x349, x373);
1697 uint32_t x382;
1698 fiat_p256_uint1 x383;
1699 fiat_p256_addcarryx_u32(&x382, &x383, x381, x351, x375);
1700 uint32_t x384;
1701 fiat_p256_uint1 x385;
1702 fiat_p256_addcarryx_u32(&x384, &x385, x383, x353, 0x0);
1703 uint32_t x386;
1704 fiat_p256_uint1 x387;
1705 fiat_p256_addcarryx_u32(&x386, &x387, x385, x355, 0x0);
1706 uint32_t x388;
1707 fiat_p256_uint1 x389;
1708 fiat_p256_addcarryx_u32(&x388, &x389, x387, x357, x345);
1709 uint32_t x390;
1710 fiat_p256_uint1 x391;
1711 fiat_p256_addcarryx_u32(&x390, &x391, x389, x359, x363);
1712 uint32_t x392;
1713 fiat_p256_uint1 x393;
1714 fiat_p256_addcarryx_u32(&x392, &x393, x391, x361, x364);
1715 uint32_t x394 = ((uint32_t)x393 + x362);
1716 uint32_t x395;
1717 uint32_t x396;
1718 fiat_p256_mulx_u32(&x395, &x396, x5, (arg1[7]));
1719 uint32_t x397;
1720 uint32_t x398;
1721 fiat_p256_mulx_u32(&x397, &x398, x5, (arg1[6]));
1722 uint32_t x399;
1723 uint32_t x400;
1724 fiat_p256_mulx_u32(&x399, &x400, x5, (arg1[5]));
1725 uint32_t x401;
1726 uint32_t x402;
1727 fiat_p256_mulx_u32(&x401, &x402, x5, (arg1[4]));
1728 uint32_t x403;
1729 uint32_t x404;
1730 fiat_p256_mulx_u32(&x403, &x404, x5, (arg1[3]));
1731 uint32_t x405;
1732 uint32_t x406;
1733 fiat_p256_mulx_u32(&x405, &x406, x5, (arg1[2]));
1734 uint32_t x407;
1735 uint32_t x408;
1736 fiat_p256_mulx_u32(&x407, &x408, x5, (arg1[1]));
1737 uint32_t x409;
1738 uint32_t x410;
1739 fiat_p256_mulx_u32(&x409, &x410, x5, (arg1[0]));
1740 uint32_t x411;
1741 fiat_p256_uint1 x412;
1742 fiat_p256_addcarryx_u32(&x411, &x412, 0x0, x410, x407);
1743 uint32_t x413;
1744 fiat_p256_uint1 x414;
1745 fiat_p256_addcarryx_u32(&x413, &x414, x412, x408, x405);
1746 uint32_t x415;
1747 fiat_p256_uint1 x416;
1748 fiat_p256_addcarryx_u32(&x415, &x416, x414, x406, x403);
1749 uint32_t x417;
1750 fiat_p256_uint1 x418;
1751 fiat_p256_addcarryx_u32(&x417, &x418, x416, x404, x401);
1752 uint32_t x419;
1753 fiat_p256_uint1 x420;
1754 fiat_p256_addcarryx_u32(&x419, &x420, x418, x402, x399);
1755 uint32_t x421;
1756 fiat_p256_uint1 x422;
1757 fiat_p256_addcarryx_u32(&x421, &x422, x420, x400, x397);
1758 uint32_t x423;
1759 fiat_p256_uint1 x424;
1760 fiat_p256_addcarryx_u32(&x423, &x424, x422, x398, x395);
1761 uint32_t x425 = (x424 + x396);
1762 uint32_t x426;
1763 fiat_p256_uint1 x427;
1764 fiat_p256_addcarryx_u32(&x426, &x427, 0x0, x378, x409);
1765 uint32_t x428;
1766 fiat_p256_uint1 x429;
1767 fiat_p256_addcarryx_u32(&x428, &x429, x427, x380, x411);
1768 uint32_t x430;
1769 fiat_p256_uint1 x431;
1770 fiat_p256_addcarryx_u32(&x430, &x431, x429, x382, x413);
1771 uint32_t x432;
1772 fiat_p256_uint1 x433;
1773 fiat_p256_addcarryx_u32(&x432, &x433, x431, x384, x415);
1774 uint32_t x434;
1775 fiat_p256_uint1 x435;
1776 fiat_p256_addcarryx_u32(&x434, &x435, x433, x386, x417);
1777 uint32_t x436;
1778 fiat_p256_uint1 x437;
1779 fiat_p256_addcarryx_u32(&x436, &x437, x435, x388, x419);
1780 uint32_t x438;
1781 fiat_p256_uint1 x439;
1782 fiat_p256_addcarryx_u32(&x438, &x439, x437, x390, x421);
1783 uint32_t x440;
1784 fiat_p256_uint1 x441;
1785 fiat_p256_addcarryx_u32(&x440, &x441, x439, x392, x423);
1786 uint32_t x442;
1787 fiat_p256_uint1 x443;
1788 fiat_p256_addcarryx_u32(&x442, &x443, x441, x394, x425);
1789 uint32_t x444;
1790 uint32_t x445;
1791 fiat_p256_mulx_u32(&x444, &x445, x426, UINT32_C(0xffffffff));
1792 uint32_t x446;
1793 uint32_t x447;
1794 fiat_p256_mulx_u32(&x446, &x447, x426, UINT32_C(0xffffffff));
1795 uint32_t x448;
1796 uint32_t x449;
1797 fiat_p256_mulx_u32(&x448, &x449, x426, UINT32_C(0xffffffff));
1798 uint32_t x450;
1799 uint32_t x451;
1800 fiat_p256_mulx_u32(&x450, &x451, x426, UINT32_C(0xffffffff));
1801 uint32_t x452;
1802 fiat_p256_uint1 x453;
1803 fiat_p256_addcarryx_u32(&x452, &x453, 0x0, x451, x448);
1804 uint32_t x454;
1805 fiat_p256_uint1 x455;
1806 fiat_p256_addcarryx_u32(&x454, &x455, x453, x449, x446);
1807 uint32_t x456 = (x455 + x447);
1808 uint32_t x457;
1809 fiat_p256_uint1 x458;
1810 fiat_p256_addcarryx_u32(&x457, &x458, 0x0, x426, x450);
1811 uint32_t x459;
1812 fiat_p256_uint1 x460;
1813 fiat_p256_addcarryx_u32(&x459, &x460, x458, x428, x452);
1814 uint32_t x461;
1815 fiat_p256_uint1 x462;
1816 fiat_p256_addcarryx_u32(&x461, &x462, x460, x430, x454);
1817 uint32_t x463;
1818 fiat_p256_uint1 x464;
1819 fiat_p256_addcarryx_u32(&x463, &x464, x462, x432, x456);
1820 uint32_t x465;
1821 fiat_p256_uint1 x466;
1822 fiat_p256_addcarryx_u32(&x465, &x466, x464, x434, 0x0);
1823 uint32_t x467;
1824 fiat_p256_uint1 x468;
1825 fiat_p256_addcarryx_u32(&x467, &x468, x466, x436, 0x0);
1826 uint32_t x469;
1827 fiat_p256_uint1 x470;
1828 fiat_p256_addcarryx_u32(&x469, &x470, x468, x438, x426);
1829 uint32_t x471;
1830 fiat_p256_uint1 x472;
1831 fiat_p256_addcarryx_u32(&x471, &x472, x470, x440, x444);
1832 uint32_t x473;
1833 fiat_p256_uint1 x474;
1834 fiat_p256_addcarryx_u32(&x473, &x474, x472, x442, x445);
1835 uint32_t x475 = ((uint32_t)x474 + x443);
1836 uint32_t x476;
1837 uint32_t x477;
1838 fiat_p256_mulx_u32(&x476, &x477, x6, (arg1[7]));
1839 uint32_t x478;
1840 uint32_t x479;
1841 fiat_p256_mulx_u32(&x478, &x479, x6, (arg1[6]));
1842 uint32_t x480;
1843 uint32_t x481;
1844 fiat_p256_mulx_u32(&x480, &x481, x6, (arg1[5]));
1845 uint32_t x482;
1846 uint32_t x483;
1847 fiat_p256_mulx_u32(&x482, &x483, x6, (arg1[4]));
1848 uint32_t x484;
1849 uint32_t x485;
1850 fiat_p256_mulx_u32(&x484, &x485, x6, (arg1[3]));
1851 uint32_t x486;
1852 uint32_t x487;
1853 fiat_p256_mulx_u32(&x486, &x487, x6, (arg1[2]));
1854 uint32_t x488;
1855 uint32_t x489;
1856 fiat_p256_mulx_u32(&x488, &x489, x6, (arg1[1]));
1857 uint32_t x490;
1858 uint32_t x491;
1859 fiat_p256_mulx_u32(&x490, &x491, x6, (arg1[0]));
1860 uint32_t x492;
1861 fiat_p256_uint1 x493;
1862 fiat_p256_addcarryx_u32(&x492, &x493, 0x0, x491, x488);
1863 uint32_t x494;
1864 fiat_p256_uint1 x495;
1865 fiat_p256_addcarryx_u32(&x494, &x495, x493, x489, x486);
1866 uint32_t x496;
1867 fiat_p256_uint1 x497;
1868 fiat_p256_addcarryx_u32(&x496, &x497, x495, x487, x484);
1869 uint32_t x498;
1870 fiat_p256_uint1 x499;
1871 fiat_p256_addcarryx_u32(&x498, &x499, x497, x485, x482);
1872 uint32_t x500;
1873 fiat_p256_uint1 x501;
1874 fiat_p256_addcarryx_u32(&x500, &x501, x499, x483, x480);
1875 uint32_t x502;
1876 fiat_p256_uint1 x503;
1877 fiat_p256_addcarryx_u32(&x502, &x503, x501, x481, x478);
1878 uint32_t x504;
1879 fiat_p256_uint1 x505;
1880 fiat_p256_addcarryx_u32(&x504, &x505, x503, x479, x476);
1881 uint32_t x506 = (x505 + x477);
1882 uint32_t x507;
1883 fiat_p256_uint1 x508;
1884 fiat_p256_addcarryx_u32(&x507, &x508, 0x0, x459, x490);
1885 uint32_t x509;
1886 fiat_p256_uint1 x510;
1887 fiat_p256_addcarryx_u32(&x509, &x510, x508, x461, x492);
1888 uint32_t x511;
1889 fiat_p256_uint1 x512;
1890 fiat_p256_addcarryx_u32(&x511, &x512, x510, x463, x494);
1891 uint32_t x513;
1892 fiat_p256_uint1 x514;
1893 fiat_p256_addcarryx_u32(&x513, &x514, x512, x465, x496);
1894 uint32_t x515;
1895 fiat_p256_uint1 x516;
1896 fiat_p256_addcarryx_u32(&x515, &x516, x514, x467, x498);
1897 uint32_t x517;
1898 fiat_p256_uint1 x518;
1899 fiat_p256_addcarryx_u32(&x517, &x518, x516, x469, x500);
1900 uint32_t x519;
1901 fiat_p256_uint1 x520;
1902 fiat_p256_addcarryx_u32(&x519, &x520, x518, x471, x502);
1903 uint32_t x521;
1904 fiat_p256_uint1 x522;
1905 fiat_p256_addcarryx_u32(&x521, &x522, x520, x473, x504);
1906 uint32_t x523;
1907 fiat_p256_uint1 x524;
1908 fiat_p256_addcarryx_u32(&x523, &x524, x522, x475, x506);
1909 uint32_t x525;
1910 uint32_t x526;
1911 fiat_p256_mulx_u32(&x525, &x526, x507, UINT32_C(0xffffffff));
1912 uint32_t x527;
1913 uint32_t x528;
1914 fiat_p256_mulx_u32(&x527, &x528, x507, UINT32_C(0xffffffff));
1915 uint32_t x529;
1916 uint32_t x530;
1917 fiat_p256_mulx_u32(&x529, &x530, x507, UINT32_C(0xffffffff));
1918 uint32_t x531;
1919 uint32_t x532;
1920 fiat_p256_mulx_u32(&x531, &x532, x507, UINT32_C(0xffffffff));
1921 uint32_t x533;
1922 fiat_p256_uint1 x534;
1923 fiat_p256_addcarryx_u32(&x533, &x534, 0x0, x532, x529);
1924 uint32_t x535;
1925 fiat_p256_uint1 x536;
1926 fiat_p256_addcarryx_u32(&x535, &x536, x534, x530, x527);
1927 uint32_t x537 = (x536 + x528);
1928 uint32_t x538;
1929 fiat_p256_uint1 x539;
1930 fiat_p256_addcarryx_u32(&x538, &x539, 0x0, x507, x531);
1931 uint32_t x540;
1932 fiat_p256_uint1 x541;
1933 fiat_p256_addcarryx_u32(&x540, &x541, x539, x509, x533);
1934 uint32_t x542;
1935 fiat_p256_uint1 x543;
1936 fiat_p256_addcarryx_u32(&x542, &x543, x541, x511, x535);
1937 uint32_t x544;
1938 fiat_p256_uint1 x545;
1939 fiat_p256_addcarryx_u32(&x544, &x545, x543, x513, x537);
1940 uint32_t x546;
1941 fiat_p256_uint1 x547;
1942 fiat_p256_addcarryx_u32(&x546, &x547, x545, x515, 0x0);
1943 uint32_t x548;
1944 fiat_p256_uint1 x549;
1945 fiat_p256_addcarryx_u32(&x548, &x549, x547, x517, 0x0);
1946 uint32_t x550;
1947 fiat_p256_uint1 x551;
1948 fiat_p256_addcarryx_u32(&x550, &x551, x549, x519, x507);
1949 uint32_t x552;
1950 fiat_p256_uint1 x553;
1951 fiat_p256_addcarryx_u32(&x552, &x553, x551, x521, x525);
1952 uint32_t x554;
1953 fiat_p256_uint1 x555;
1954 fiat_p256_addcarryx_u32(&x554, &x555, x553, x523, x526);
1955 uint32_t x556 = ((uint32_t)x555 + x524);
1956 uint32_t x557;
1957 uint32_t x558;
1958 fiat_p256_mulx_u32(&x557, &x558, x7, (arg1[7]));
1959 uint32_t x559;
1960 uint32_t x560;
1961 fiat_p256_mulx_u32(&x559, &x560, x7, (arg1[6]));
1962 uint32_t x561;
1963 uint32_t x562;
1964 fiat_p256_mulx_u32(&x561, &x562, x7, (arg1[5]));
1965 uint32_t x563;
1966 uint32_t x564;
1967 fiat_p256_mulx_u32(&x563, &x564, x7, (arg1[4]));
1968 uint32_t x565;
1969 uint32_t x566;
1970 fiat_p256_mulx_u32(&x565, &x566, x7, (arg1[3]));
1971 uint32_t x567;
1972 uint32_t x568;
1973 fiat_p256_mulx_u32(&x567, &x568, x7, (arg1[2]));
1974 uint32_t x569;
1975 uint32_t x570;
1976 fiat_p256_mulx_u32(&x569, &x570, x7, (arg1[1]));
1977 uint32_t x571;
1978 uint32_t x572;
1979 fiat_p256_mulx_u32(&x571, &x572, x7, (arg1[0]));
1980 uint32_t x573;
1981 fiat_p256_uint1 x574;
1982 fiat_p256_addcarryx_u32(&x573, &x574, 0x0, x572, x569);
1983 uint32_t x575;
1984 fiat_p256_uint1 x576;
1985 fiat_p256_addcarryx_u32(&x575, &x576, x574, x570, x567);
1986 uint32_t x577;
1987 fiat_p256_uint1 x578;
1988 fiat_p256_addcarryx_u32(&x577, &x578, x576, x568, x565);
1989 uint32_t x579;
1990 fiat_p256_uint1 x580;
1991 fiat_p256_addcarryx_u32(&x579, &x580, x578, x566, x563);
1992 uint32_t x581;
1993 fiat_p256_uint1 x582;
1994 fiat_p256_addcarryx_u32(&x581, &x582, x580, x564, x561);
1995 uint32_t x583;
1996 fiat_p256_uint1 x584;
1997 fiat_p256_addcarryx_u32(&x583, &x584, x582, x562, x559);
1998 uint32_t x585;
1999 fiat_p256_uint1 x586;
2000 fiat_p256_addcarryx_u32(&x585, &x586, x584, x560, x557);
2001 uint32_t x587 = (x586 + x558);
2002 uint32_t x588;
2003 fiat_p256_uint1 x589;
2004 fiat_p256_addcarryx_u32(&x588, &x589, 0x0, x540, x571);
2005 uint32_t x590;
2006 fiat_p256_uint1 x591;
2007 fiat_p256_addcarryx_u32(&x590, &x591, x589, x542, x573);
2008 uint32_t x592;
2009 fiat_p256_uint1 x593;
2010 fiat_p256_addcarryx_u32(&x592, &x593, x591, x544, x575);
2011 uint32_t x594;
2012 fiat_p256_uint1 x595;
2013 fiat_p256_addcarryx_u32(&x594, &x595, x593, x546, x577);
2014 uint32_t x596;
2015 fiat_p256_uint1 x597;
2016 fiat_p256_addcarryx_u32(&x596, &x597, x595, x548, x579);
2017 uint32_t x598;
2018 fiat_p256_uint1 x599;
2019 fiat_p256_addcarryx_u32(&x598, &x599, x597, x550, x581);
2020 uint32_t x600;
2021 fiat_p256_uint1 x601;
2022 fiat_p256_addcarryx_u32(&x600, &x601, x599, x552, x583);
2023 uint32_t x602;
2024 fiat_p256_uint1 x603;
2025 fiat_p256_addcarryx_u32(&x602, &x603, x601, x554, x585);
2026 uint32_t x604;
2027 fiat_p256_uint1 x605;
2028 fiat_p256_addcarryx_u32(&x604, &x605, x603, x556, x587);
2029 uint32_t x606;
2030 uint32_t x607;
2031 fiat_p256_mulx_u32(&x606, &x607, x588, UINT32_C(0xffffffff));
2032 uint32_t x608;
2033 uint32_t x609;
2034 fiat_p256_mulx_u32(&x608, &x609, x588, UINT32_C(0xffffffff));
2035 uint32_t x610;
2036 uint32_t x611;
2037 fiat_p256_mulx_u32(&x610, &x611, x588, UINT32_C(0xffffffff));
2038 uint32_t x612;
2039 uint32_t x613;
2040 fiat_p256_mulx_u32(&x612, &x613, x588, UINT32_C(0xffffffff));
2041 uint32_t x614;
2042 fiat_p256_uint1 x615;
2043 fiat_p256_addcarryx_u32(&x614, &x615, 0x0, x613, x610);
2044 uint32_t x616;
2045 fiat_p256_uint1 x617;
2046 fiat_p256_addcarryx_u32(&x616, &x617, x615, x611, x608);
2047 uint32_t x618 = (x617 + x609);
2048 uint32_t x619;
2049 fiat_p256_uint1 x620;
2050 fiat_p256_addcarryx_u32(&x619, &x620, 0x0, x588, x612);
2051 uint32_t x621;
2052 fiat_p256_uint1 x622;
2053 fiat_p256_addcarryx_u32(&x621, &x622, x620, x590, x614);
2054 uint32_t x623;
2055 fiat_p256_uint1 x624;
2056 fiat_p256_addcarryx_u32(&x623, &x624, x622, x592, x616);
2057 uint32_t x625;
2058 fiat_p256_uint1 x626;
2059 fiat_p256_addcarryx_u32(&x625, &x626, x624, x594, x618);
2060 uint32_t x627;
2061 fiat_p256_uint1 x628;
2062 fiat_p256_addcarryx_u32(&x627, &x628, x626, x596, 0x0);
2063 uint32_t x629;
2064 fiat_p256_uint1 x630;
2065 fiat_p256_addcarryx_u32(&x629, &x630, x628, x598, 0x0);
2066 uint32_t x631;
2067 fiat_p256_uint1 x632;
2068 fiat_p256_addcarryx_u32(&x631, &x632, x630, x600, x588);
2069 uint32_t x633;
2070 fiat_p256_uint1 x634;
2071 fiat_p256_addcarryx_u32(&x633, &x634, x632, x602, x606);
2072 uint32_t x635;
2073 fiat_p256_uint1 x636;
2074 fiat_p256_addcarryx_u32(&x635, &x636, x634, x604, x607);
2075 uint32_t x637 = ((uint32_t)x636 + x605);
2076 uint32_t x638;
2077 fiat_p256_uint1 x639;
2078 fiat_p256_subborrowx_u32(&x638, &x639, 0x0, x621, UINT32_C(0xffffffff));
2079 uint32_t x640;
2080 fiat_p256_uint1 x641;
2081 fiat_p256_subborrowx_u32(&x640, &x641, x639, x623, UINT32_C(0xffffffff));
2082 uint32_t x642;
2083 fiat_p256_uint1 x643;
2084 fiat_p256_subborrowx_u32(&x642, &x643, x641, x625, UINT32_C(0xffffffff));
2085 uint32_t x644;
2086 fiat_p256_uint1 x645;
2087 fiat_p256_subborrowx_u32(&x644, &x645, x643, x627, 0x0);
2088 uint32_t x646;
2089 fiat_p256_uint1 x647;
2090 fiat_p256_subborrowx_u32(&x646, &x647, x645, x629, 0x0);
2091 uint32_t x648;
2092 fiat_p256_uint1 x649;
2093 fiat_p256_subborrowx_u32(&x648, &x649, x647, x631, 0x0);
2094 uint32_t x650;
2095 fiat_p256_uint1 x651;
2096 fiat_p256_subborrowx_u32(&x650, &x651, x649, x633, 0x1);
2097 uint32_t x652;
2098 fiat_p256_uint1 x653;
2099 fiat_p256_subborrowx_u32(&x652, &x653, x651, x635, UINT32_C(0xffffffff));
2100 uint32_t x654;
2101 fiat_p256_uint1 x655;
2102 fiat_p256_subborrowx_u32(&x654, &x655, x653, x637, 0x0);
2103 uint32_t x656;
2104 fiat_p256_cmovznz_u32(&x656, x655, x638, x621);
2105 uint32_t x657;
2106 fiat_p256_cmovznz_u32(&x657, x655, x640, x623);
2107 uint32_t x658;
2108 fiat_p256_cmovznz_u32(&x658, x655, x642, x625);
2109 uint32_t x659;
2110 fiat_p256_cmovznz_u32(&x659, x655, x644, x627);
2111 uint32_t x660;
2112 fiat_p256_cmovznz_u32(&x660, x655, x646, x629);
2113 uint32_t x661;
2114 fiat_p256_cmovznz_u32(&x661, x655, x648, x631);
2115 uint32_t x662;
2116 fiat_p256_cmovznz_u32(&x662, x655, x650, x633);
2117 uint32_t x663;
2118 fiat_p256_cmovznz_u32(&x663, x655, x652, x635);
2119 out1[0] = x656;
2120 out1[1] = x657;
2121 out1[2] = x658;
2122 out1[3] = x659;
2123 out1[4] = x660;
2124 out1[5] = x661;
2125 out1[6] = x662;
2126 out1[7] = x663;
2127 }
2128
2129 /*
2130 * The function fiat_p256_add adds two field elements in the Montgomery domain.
2131 * Preconditions:
2132 * 0 ≤ eval arg1 < m
2133 * 0 ≤ eval arg2 < m
2134 * Postconditions:
2135 * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
2136 * 0 ≤ eval out1 < m
2137 *
2138 * Input Bounds:
2139 * arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2140 * arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2141 * Output Bounds:
2142 * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2143 */
fiat_p256_add(uint32_t out1[8],const uint32_t arg1[8],const uint32_t arg2[8])2144 static void fiat_p256_add(uint32_t out1[8], const uint32_t arg1[8], const uint32_t arg2[8]) {
2145 uint32_t x1;
2146 fiat_p256_uint1 x2;
2147 fiat_p256_addcarryx_u32(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
2148 uint32_t x3;
2149 fiat_p256_uint1 x4;
2150 fiat_p256_addcarryx_u32(&x3, &x4, x2, (arg1[1]), (arg2[1]));
2151 uint32_t x5;
2152 fiat_p256_uint1 x6;
2153 fiat_p256_addcarryx_u32(&x5, &x6, x4, (arg1[2]), (arg2[2]));
2154 uint32_t x7;
2155 fiat_p256_uint1 x8;
2156 fiat_p256_addcarryx_u32(&x7, &x8, x6, (arg1[3]), (arg2[3]));
2157 uint32_t x9;
2158 fiat_p256_uint1 x10;
2159 fiat_p256_addcarryx_u32(&x9, &x10, x8, (arg1[4]), (arg2[4]));
2160 uint32_t x11;
2161 fiat_p256_uint1 x12;
2162 fiat_p256_addcarryx_u32(&x11, &x12, x10, (arg1[5]), (arg2[5]));
2163 uint32_t x13;
2164 fiat_p256_uint1 x14;
2165 fiat_p256_addcarryx_u32(&x13, &x14, x12, (arg1[6]), (arg2[6]));
2166 uint32_t x15;
2167 fiat_p256_uint1 x16;
2168 fiat_p256_addcarryx_u32(&x15, &x16, x14, (arg1[7]), (arg2[7]));
2169 uint32_t x17;
2170 fiat_p256_uint1 x18;
2171 fiat_p256_subborrowx_u32(&x17, &x18, 0x0, x1, UINT32_C(0xffffffff));
2172 uint32_t x19;
2173 fiat_p256_uint1 x20;
2174 fiat_p256_subborrowx_u32(&x19, &x20, x18, x3, UINT32_C(0xffffffff));
2175 uint32_t x21;
2176 fiat_p256_uint1 x22;
2177 fiat_p256_subborrowx_u32(&x21, &x22, x20, x5, UINT32_C(0xffffffff));
2178 uint32_t x23;
2179 fiat_p256_uint1 x24;
2180 fiat_p256_subborrowx_u32(&x23, &x24, x22, x7, 0x0);
2181 uint32_t x25;
2182 fiat_p256_uint1 x26;
2183 fiat_p256_subborrowx_u32(&x25, &x26, x24, x9, 0x0);
2184 uint32_t x27;
2185 fiat_p256_uint1 x28;
2186 fiat_p256_subborrowx_u32(&x27, &x28, x26, x11, 0x0);
2187 uint32_t x29;
2188 fiat_p256_uint1 x30;
2189 fiat_p256_subborrowx_u32(&x29, &x30, x28, x13, 0x1);
2190 uint32_t x31;
2191 fiat_p256_uint1 x32;
2192 fiat_p256_subborrowx_u32(&x31, &x32, x30, x15, UINT32_C(0xffffffff));
2193 uint32_t x33;
2194 fiat_p256_uint1 x34;
2195 fiat_p256_subborrowx_u32(&x33, &x34, x32, x16, 0x0);
2196 uint32_t x35;
2197 fiat_p256_cmovznz_u32(&x35, x34, x17, x1);
2198 uint32_t x36;
2199 fiat_p256_cmovznz_u32(&x36, x34, x19, x3);
2200 uint32_t x37;
2201 fiat_p256_cmovznz_u32(&x37, x34, x21, x5);
2202 uint32_t x38;
2203 fiat_p256_cmovznz_u32(&x38, x34, x23, x7);
2204 uint32_t x39;
2205 fiat_p256_cmovznz_u32(&x39, x34, x25, x9);
2206 uint32_t x40;
2207 fiat_p256_cmovznz_u32(&x40, x34, x27, x11);
2208 uint32_t x41;
2209 fiat_p256_cmovznz_u32(&x41, x34, x29, x13);
2210 uint32_t x42;
2211 fiat_p256_cmovznz_u32(&x42, x34, x31, x15);
2212 out1[0] = x35;
2213 out1[1] = x36;
2214 out1[2] = x37;
2215 out1[3] = x38;
2216 out1[4] = x39;
2217 out1[5] = x40;
2218 out1[6] = x41;
2219 out1[7] = x42;
2220 }
2221
2222 /*
2223 * The function fiat_p256_sub subtracts two field elements in the Montgomery domain.
2224 * Preconditions:
2225 * 0 ≤ eval arg1 < m
2226 * 0 ≤ eval arg2 < m
2227 * Postconditions:
2228 * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
2229 * 0 ≤ eval out1 < m
2230 *
2231 * Input Bounds:
2232 * arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2233 * arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2234 * Output Bounds:
2235 * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2236 */
fiat_p256_sub(uint32_t out1[8],const uint32_t arg1[8],const uint32_t arg2[8])2237 static void fiat_p256_sub(uint32_t out1[8], const uint32_t arg1[8], const uint32_t arg2[8]) {
2238 uint32_t x1;
2239 fiat_p256_uint1 x2;
2240 fiat_p256_subborrowx_u32(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
2241 uint32_t x3;
2242 fiat_p256_uint1 x4;
2243 fiat_p256_subborrowx_u32(&x3, &x4, x2, (arg1[1]), (arg2[1]));
2244 uint32_t x5;
2245 fiat_p256_uint1 x6;
2246 fiat_p256_subborrowx_u32(&x5, &x6, x4, (arg1[2]), (arg2[2]));
2247 uint32_t x7;
2248 fiat_p256_uint1 x8;
2249 fiat_p256_subborrowx_u32(&x7, &x8, x6, (arg1[3]), (arg2[3]));
2250 uint32_t x9;
2251 fiat_p256_uint1 x10;
2252 fiat_p256_subborrowx_u32(&x9, &x10, x8, (arg1[4]), (arg2[4]));
2253 uint32_t x11;
2254 fiat_p256_uint1 x12;
2255 fiat_p256_subborrowx_u32(&x11, &x12, x10, (arg1[5]), (arg2[5]));
2256 uint32_t x13;
2257 fiat_p256_uint1 x14;
2258 fiat_p256_subborrowx_u32(&x13, &x14, x12, (arg1[6]), (arg2[6]));
2259 uint32_t x15;
2260 fiat_p256_uint1 x16;
2261 fiat_p256_subborrowx_u32(&x15, &x16, x14, (arg1[7]), (arg2[7]));
2262 uint32_t x17;
2263 fiat_p256_cmovznz_u32(&x17, x16, 0x0, UINT32_C(0xffffffff));
2264 uint32_t x18;
2265 fiat_p256_uint1 x19;
2266 fiat_p256_addcarryx_u32(&x18, &x19, 0x0, x1, (x17 & UINT32_C(0xffffffff)));
2267 uint32_t x20;
2268 fiat_p256_uint1 x21;
2269 fiat_p256_addcarryx_u32(&x20, &x21, x19, x3, (x17 & UINT32_C(0xffffffff)));
2270 uint32_t x22;
2271 fiat_p256_uint1 x23;
2272 fiat_p256_addcarryx_u32(&x22, &x23, x21, x5, (x17 & UINT32_C(0xffffffff)));
2273 uint32_t x24;
2274 fiat_p256_uint1 x25;
2275 fiat_p256_addcarryx_u32(&x24, &x25, x23, x7, 0x0);
2276 uint32_t x26;
2277 fiat_p256_uint1 x27;
2278 fiat_p256_addcarryx_u32(&x26, &x27, x25, x9, 0x0);
2279 uint32_t x28;
2280 fiat_p256_uint1 x29;
2281 fiat_p256_addcarryx_u32(&x28, &x29, x27, x11, 0x0);
2282 uint32_t x30;
2283 fiat_p256_uint1 x31;
2284 fiat_p256_addcarryx_u32(&x30, &x31, x29, x13, (fiat_p256_uint1)(x17 & 0x1));
2285 uint32_t x32;
2286 fiat_p256_uint1 x33;
2287 fiat_p256_addcarryx_u32(&x32, &x33, x31, x15, (x17 & UINT32_C(0xffffffff)));
2288 out1[0] = x18;
2289 out1[1] = x20;
2290 out1[2] = x22;
2291 out1[3] = x24;
2292 out1[4] = x26;
2293 out1[5] = x28;
2294 out1[6] = x30;
2295 out1[7] = x32;
2296 }
2297
2298 /*
2299 * The function fiat_p256_opp negates a field element in the Montgomery domain.
2300 * Preconditions:
2301 * 0 ≤ eval arg1 < m
2302 * Postconditions:
2303 * eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m
2304 * 0 ≤ eval out1 < m
2305 *
2306 * Input Bounds:
2307 * arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2308 * Output Bounds:
2309 * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2310 */
fiat_p256_opp(uint32_t out1[8],const uint32_t arg1[8])2311 static void fiat_p256_opp(uint32_t out1[8], const uint32_t arg1[8]) {
2312 uint32_t x1;
2313 fiat_p256_uint1 x2;
2314 fiat_p256_subborrowx_u32(&x1, &x2, 0x0, 0x0, (arg1[0]));
2315 uint32_t x3;
2316 fiat_p256_uint1 x4;
2317 fiat_p256_subborrowx_u32(&x3, &x4, x2, 0x0, (arg1[1]));
2318 uint32_t x5;
2319 fiat_p256_uint1 x6;
2320 fiat_p256_subborrowx_u32(&x5, &x6, x4, 0x0, (arg1[2]));
2321 uint32_t x7;
2322 fiat_p256_uint1 x8;
2323 fiat_p256_subborrowx_u32(&x7, &x8, x6, 0x0, (arg1[3]));
2324 uint32_t x9;
2325 fiat_p256_uint1 x10;
2326 fiat_p256_subborrowx_u32(&x9, &x10, x8, 0x0, (arg1[4]));
2327 uint32_t x11;
2328 fiat_p256_uint1 x12;
2329 fiat_p256_subborrowx_u32(&x11, &x12, x10, 0x0, (arg1[5]));
2330 uint32_t x13;
2331 fiat_p256_uint1 x14;
2332 fiat_p256_subborrowx_u32(&x13, &x14, x12, 0x0, (arg1[6]));
2333 uint32_t x15;
2334 fiat_p256_uint1 x16;
2335 fiat_p256_subborrowx_u32(&x15, &x16, x14, 0x0, (arg1[7]));
2336 uint32_t x17;
2337 fiat_p256_cmovznz_u32(&x17, x16, 0x0, UINT32_C(0xffffffff));
2338 uint32_t x18;
2339 fiat_p256_uint1 x19;
2340 fiat_p256_addcarryx_u32(&x18, &x19, 0x0, x1, (x17 & UINT32_C(0xffffffff)));
2341 uint32_t x20;
2342 fiat_p256_uint1 x21;
2343 fiat_p256_addcarryx_u32(&x20, &x21, x19, x3, (x17 & UINT32_C(0xffffffff)));
2344 uint32_t x22;
2345 fiat_p256_uint1 x23;
2346 fiat_p256_addcarryx_u32(&x22, &x23, x21, x5, (x17 & UINT32_C(0xffffffff)));
2347 uint32_t x24;
2348 fiat_p256_uint1 x25;
2349 fiat_p256_addcarryx_u32(&x24, &x25, x23, x7, 0x0);
2350 uint32_t x26;
2351 fiat_p256_uint1 x27;
2352 fiat_p256_addcarryx_u32(&x26, &x27, x25, x9, 0x0);
2353 uint32_t x28;
2354 fiat_p256_uint1 x29;
2355 fiat_p256_addcarryx_u32(&x28, &x29, x27, x11, 0x0);
2356 uint32_t x30;
2357 fiat_p256_uint1 x31;
2358 fiat_p256_addcarryx_u32(&x30, &x31, x29, x13, (fiat_p256_uint1)(x17 & 0x1));
2359 uint32_t x32;
2360 fiat_p256_uint1 x33;
2361 fiat_p256_addcarryx_u32(&x32, &x33, x31, x15, (x17 & UINT32_C(0xffffffff)));
2362 out1[0] = x18;
2363 out1[1] = x20;
2364 out1[2] = x22;
2365 out1[3] = x24;
2366 out1[4] = x26;
2367 out1[5] = x28;
2368 out1[6] = x30;
2369 out1[7] = x32;
2370 }
2371
2372 /*
2373 * The function fiat_p256_nonzero outputs a single non-zero word if the input is non-zero and zero otherwise.
2374 * Preconditions:
2375 * 0 ≤ eval arg1 < m
2376 * Postconditions:
2377 * out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0
2378 *
2379 * Input Bounds:
2380 * arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2381 * Output Bounds:
2382 * out1: [0x0 ~> 0xffffffff]
2383 */
fiat_p256_nonzero(uint32_t * out1,const uint32_t arg1[8])2384 static void fiat_p256_nonzero(uint32_t* out1, const uint32_t arg1[8]) {
2385 uint32_t x1 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | ((arg1[3]) | ((arg1[4]) | ((arg1[5]) | ((arg1[6]) | ((arg1[7]) | (uint32_t)0x0))))))));
2386 *out1 = x1;
2387 }
2388
2389 /*
2390 * The function fiat_p256_selectznz is a multi-limb conditional select.
2391 * Postconditions:
2392 * eval out1 = (if arg1 = 0 then eval arg2 else eval arg3)
2393 *
2394 * Input Bounds:
2395 * arg1: [0x0 ~> 0x1]
2396 * arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2397 * arg3: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2398 * Output Bounds:
2399 * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
2400 */
fiat_p256_selectznz(uint32_t out1[8],fiat_p256_uint1 arg1,const uint32_t arg2[8],const uint32_t arg3[8])2401 static void fiat_p256_selectznz(uint32_t out1[8], fiat_p256_uint1 arg1, const uint32_t arg2[8], const uint32_t arg3[8]) {
2402 uint32_t x1;
2403 fiat_p256_cmovznz_u32(&x1, arg1, (arg2[0]), (arg3[0]));
2404 uint32_t x2;
2405 fiat_p256_cmovznz_u32(&x2, arg1, (arg2[1]), (arg3[1]));
2406 uint32_t x3;
2407 fiat_p256_cmovznz_u32(&x3, arg1, (arg2[2]), (arg3[2]));
2408 uint32_t x4;
2409 fiat_p256_cmovznz_u32(&x4, arg1, (arg2[3]), (arg3[3]));
2410 uint32_t x5;
2411 fiat_p256_cmovznz_u32(&x5, arg1, (arg2[4]), (arg3[4]));
2412 uint32_t x6;
2413 fiat_p256_cmovznz_u32(&x6, arg1, (arg2[5]), (arg3[5]));
2414 uint32_t x7;
2415 fiat_p256_cmovznz_u32(&x7, arg1, (arg2[6]), (arg3[6]));
2416 uint32_t x8;
2417 fiat_p256_cmovznz_u32(&x8, arg1, (arg2[7]), (arg3[7]));
2418 out1[0] = x1;
2419 out1[1] = x2;
2420 out1[2] = x3;
2421 out1[3] = x4;
2422 out1[4] = x5;
2423 out1[5] = x6;
2424 out1[6] = x7;
2425 out1[7] = x8;
2426 }
2427