1 /* Autogenerated: 'src/ExtractionOCaml/unsaturated_solinas' --inline --static --use-value-barrier 25519 64 '(auto)' '2^255 - 19' carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes relax carry_scmul121666 */
2 /* curve description: 25519 */
3 /* machine_wordsize = 64 (from "64") */
4 /* requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, relax, carry_scmul121666 */
5 /* n = 5 (from "(auto)") */
6 /* s-c = 2^255 - [(1, 19)] (from "2^255 - 19") */
7 /* tight_bounds_multiplier = 1 (from "") */
8 /* */
9 /* Computed values: */
10 /* carry_chain = [0, 1, 2, 3, 4, 0, 1] */
11 /* eval z = z[0] + (z[1] << 51) + (z[2] << 102) + (z[3] << 153) + (z[4] << 204) */
12 /* 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) */
13 /* balance = [0xfffffffffffda, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe] */
14
15 #include <stdint.h>
16 typedef unsigned char fiat_25519_uint1;
17 typedef signed char fiat_25519_int1;
18 #if defined(__GNUC__) || defined(__clang__)
19 # define FIAT_25519_FIAT_EXTENSION __extension__
20 # define FIAT_25519_FIAT_INLINE __inline__
21 #else
22 # define FIAT_25519_FIAT_EXTENSION
23 # define FIAT_25519_FIAT_INLINE
24 #endif
25
26 FIAT_25519_FIAT_EXTENSION typedef signed __int128 fiat_25519_int128;
27 FIAT_25519_FIAT_EXTENSION typedef unsigned __int128 fiat_25519_uint128;
28
29 /* The type fiat_25519_loose_field_element is a field element with loose bounds. */
30 /* Bounds: [[0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] */
31 typedef uint64_t fiat_25519_loose_field_element[5];
32
33 /* The type fiat_25519_tight_field_element is a field element with tight bounds. */
34 /* Bounds: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] */
35 typedef uint64_t fiat_25519_tight_field_element[5];
36
37 #if (-1 & 3) != 3
38 #error "This code only works on a two's complement system"
39 #endif
40
41 #if !defined(FIAT_25519_NO_ASM) && (defined(__GNUC__) || defined(__clang__))
fiat_25519_value_barrier_u64(uint64_t a)42 static __inline__ uint64_t fiat_25519_value_barrier_u64(uint64_t a) {
43 __asm__("" : "+r"(a) : /* no inputs */);
44 return a;
45 }
46 #else
47 # define fiat_25519_value_barrier_u64(x) (x)
48 #endif
49
50
51 /*
52 * The function fiat_25519_addcarryx_u51 is an addition with carry.
53 *
54 * Postconditions:
55 * out1 = (arg1 + arg2 + arg3) mod 2^51
56 * out2 = ⌊(arg1 + arg2 + arg3) / 2^51⌋
57 *
58 * Input Bounds:
59 * arg1: [0x0 ~> 0x1]
60 * arg2: [0x0 ~> 0x7ffffffffffff]
61 * arg3: [0x0 ~> 0x7ffffffffffff]
62 * Output Bounds:
63 * out1: [0x0 ~> 0x7ffffffffffff]
64 * out2: [0x0 ~> 0x1]
65 */
fiat_25519_addcarryx_u51(uint64_t * out1,fiat_25519_uint1 * out2,fiat_25519_uint1 arg1,uint64_t arg2,uint64_t arg3)66 static FIAT_25519_FIAT_INLINE void fiat_25519_addcarryx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) {
67 uint64_t x1;
68 uint64_t x2;
69 fiat_25519_uint1 x3;
70 x1 = ((arg1 + arg2) + arg3);
71 x2 = (x1 & UINT64_C(0x7ffffffffffff));
72 x3 = (fiat_25519_uint1)(x1 >> 51);
73 *out1 = x2;
74 *out2 = x3;
75 }
76
77 /*
78 * The function fiat_25519_subborrowx_u51 is a subtraction with borrow.
79 *
80 * Postconditions:
81 * out1 = (-arg1 + arg2 + -arg3) mod 2^51
82 * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^51⌋
83 *
84 * Input Bounds:
85 * arg1: [0x0 ~> 0x1]
86 * arg2: [0x0 ~> 0x7ffffffffffff]
87 * arg3: [0x0 ~> 0x7ffffffffffff]
88 * Output Bounds:
89 * out1: [0x0 ~> 0x7ffffffffffff]
90 * out2: [0x0 ~> 0x1]
91 */
fiat_25519_subborrowx_u51(uint64_t * out1,fiat_25519_uint1 * out2,fiat_25519_uint1 arg1,uint64_t arg2,uint64_t arg3)92 static FIAT_25519_FIAT_INLINE void fiat_25519_subborrowx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) {
93 int64_t x1;
94 fiat_25519_int1 x2;
95 uint64_t x3;
96 x1 = ((int64_t)(arg2 - (int64_t)arg1) - (int64_t)arg3);
97 x2 = (fiat_25519_int1)(x1 >> 51);
98 x3 = (x1 & UINT64_C(0x7ffffffffffff));
99 *out1 = x3;
100 *out2 = (fiat_25519_uint1)(0x0 - x2);
101 }
102
103 /*
104 * The function fiat_25519_cmovznz_u64 is a single-word conditional move.
105 *
106 * Postconditions:
107 * out1 = (if arg1 = 0 then arg2 else arg3)
108 *
109 * Input Bounds:
110 * arg1: [0x0 ~> 0x1]
111 * arg2: [0x0 ~> 0xffffffffffffffff]
112 * arg3: [0x0 ~> 0xffffffffffffffff]
113 * Output Bounds:
114 * out1: [0x0 ~> 0xffffffffffffffff]
115 */
fiat_25519_cmovznz_u64(uint64_t * out1,fiat_25519_uint1 arg1,uint64_t arg2,uint64_t arg3)116 static FIAT_25519_FIAT_INLINE void fiat_25519_cmovznz_u64(uint64_t* out1, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) {
117 fiat_25519_uint1 x1;
118 uint64_t x2;
119 uint64_t x3;
120 x1 = (!(!arg1));
121 x2 = ((fiat_25519_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff));
122 x3 = ((fiat_25519_value_barrier_u64(x2) & arg3) | (fiat_25519_value_barrier_u64((~x2)) & arg2));
123 *out1 = x3;
124 }
125
126 /*
127 * The function fiat_25519_carry_mul multiplies two field elements and reduces the result.
128 *
129 * Postconditions:
130 * eval out1 mod m = (eval arg1 * eval arg2) mod m
131 *
132 */
fiat_25519_carry_mul(fiat_25519_tight_field_element out1,const fiat_25519_loose_field_element arg1,const fiat_25519_loose_field_element arg2)133 static FIAT_25519_FIAT_INLINE void fiat_25519_carry_mul(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1, const fiat_25519_loose_field_element arg2) {
134 fiat_25519_uint128 x1;
135 fiat_25519_uint128 x2;
136 fiat_25519_uint128 x3;
137 fiat_25519_uint128 x4;
138 fiat_25519_uint128 x5;
139 fiat_25519_uint128 x6;
140 fiat_25519_uint128 x7;
141 fiat_25519_uint128 x8;
142 fiat_25519_uint128 x9;
143 fiat_25519_uint128 x10;
144 fiat_25519_uint128 x11;
145 fiat_25519_uint128 x12;
146 fiat_25519_uint128 x13;
147 fiat_25519_uint128 x14;
148 fiat_25519_uint128 x15;
149 fiat_25519_uint128 x16;
150 fiat_25519_uint128 x17;
151 fiat_25519_uint128 x18;
152 fiat_25519_uint128 x19;
153 fiat_25519_uint128 x20;
154 fiat_25519_uint128 x21;
155 fiat_25519_uint128 x22;
156 fiat_25519_uint128 x23;
157 fiat_25519_uint128 x24;
158 fiat_25519_uint128 x25;
159 fiat_25519_uint128 x26;
160 uint64_t x27;
161 uint64_t x28;
162 fiat_25519_uint128 x29;
163 fiat_25519_uint128 x30;
164 fiat_25519_uint128 x31;
165 fiat_25519_uint128 x32;
166 fiat_25519_uint128 x33;
167 uint64_t x34;
168 uint64_t x35;
169 fiat_25519_uint128 x36;
170 uint64_t x37;
171 uint64_t x38;
172 fiat_25519_uint128 x39;
173 uint64_t x40;
174 uint64_t x41;
175 fiat_25519_uint128 x42;
176 uint64_t x43;
177 uint64_t x44;
178 uint64_t x45;
179 uint64_t x46;
180 uint64_t x47;
181 uint64_t x48;
182 uint64_t x49;
183 fiat_25519_uint1 x50;
184 uint64_t x51;
185 uint64_t x52;
186 x1 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[4]) * UINT8_C(0x13)));
187 x2 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[3]) * UINT8_C(0x13)));
188 x3 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[2]) * UINT8_C(0x13)));
189 x4 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[1]) * UINT8_C(0x13)));
190 x5 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[4]) * UINT8_C(0x13)));
191 x6 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[3]) * UINT8_C(0x13)));
192 x7 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[2]) * UINT8_C(0x13)));
193 x8 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[4]) * UINT8_C(0x13)));
194 x9 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[3]) * UINT8_C(0x13)));
195 x10 = ((fiat_25519_uint128)(arg1[1]) * ((arg2[4]) * UINT8_C(0x13)));
196 x11 = ((fiat_25519_uint128)(arg1[4]) * (arg2[0]));
197 x12 = ((fiat_25519_uint128)(arg1[3]) * (arg2[1]));
198 x13 = ((fiat_25519_uint128)(arg1[3]) * (arg2[0]));
199 x14 = ((fiat_25519_uint128)(arg1[2]) * (arg2[2]));
200 x15 = ((fiat_25519_uint128)(arg1[2]) * (arg2[1]));
201 x16 = ((fiat_25519_uint128)(arg1[2]) * (arg2[0]));
202 x17 = ((fiat_25519_uint128)(arg1[1]) * (arg2[3]));
203 x18 = ((fiat_25519_uint128)(arg1[1]) * (arg2[2]));
204 x19 = ((fiat_25519_uint128)(arg1[1]) * (arg2[1]));
205 x20 = ((fiat_25519_uint128)(arg1[1]) * (arg2[0]));
206 x21 = ((fiat_25519_uint128)(arg1[0]) * (arg2[4]));
207 x22 = ((fiat_25519_uint128)(arg1[0]) * (arg2[3]));
208 x23 = ((fiat_25519_uint128)(arg1[0]) * (arg2[2]));
209 x24 = ((fiat_25519_uint128)(arg1[0]) * (arg2[1]));
210 x25 = ((fiat_25519_uint128)(arg1[0]) * (arg2[0]));
211 x26 = (x25 + (x10 + (x9 + (x7 + x4))));
212 x27 = (uint64_t)(x26 >> 51);
213 x28 = (uint64_t)(x26 & UINT64_C(0x7ffffffffffff));
214 x29 = (x21 + (x17 + (x14 + (x12 + x11))));
215 x30 = (x22 + (x18 + (x15 + (x13 + x1))));
216 x31 = (x23 + (x19 + (x16 + (x5 + x2))));
217 x32 = (x24 + (x20 + (x8 + (x6 + x3))));
218 x33 = (x27 + x32);
219 x34 = (uint64_t)(x33 >> 51);
220 x35 = (uint64_t)(x33 & UINT64_C(0x7ffffffffffff));
221 x36 = (x34 + x31);
222 x37 = (uint64_t)(x36 >> 51);
223 x38 = (uint64_t)(x36 & UINT64_C(0x7ffffffffffff));
224 x39 = (x37 + x30);
225 x40 = (uint64_t)(x39 >> 51);
226 x41 = (uint64_t)(x39 & UINT64_C(0x7ffffffffffff));
227 x42 = (x40 + x29);
228 x43 = (uint64_t)(x42 >> 51);
229 x44 = (uint64_t)(x42 & UINT64_C(0x7ffffffffffff));
230 x45 = (x43 * UINT8_C(0x13));
231 x46 = (x28 + x45);
232 x47 = (x46 >> 51);
233 x48 = (x46 & UINT64_C(0x7ffffffffffff));
234 x49 = (x47 + x35);
235 x50 = (fiat_25519_uint1)(x49 >> 51);
236 x51 = (x49 & UINT64_C(0x7ffffffffffff));
237 x52 = (x50 + x38);
238 out1[0] = x48;
239 out1[1] = x51;
240 out1[2] = x52;
241 out1[3] = x41;
242 out1[4] = x44;
243 }
244
245 /*
246 * The function fiat_25519_carry_square squares a field element and reduces the result.
247 *
248 * Postconditions:
249 * eval out1 mod m = (eval arg1 * eval arg1) mod m
250 *
251 */
fiat_25519_carry_square(fiat_25519_tight_field_element out1,const fiat_25519_loose_field_element arg1)252 static FIAT_25519_FIAT_INLINE void fiat_25519_carry_square(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) {
253 uint64_t x1;
254 uint64_t x2;
255 uint64_t x3;
256 uint64_t x4;
257 uint64_t x5;
258 uint64_t x6;
259 uint64_t x7;
260 uint64_t x8;
261 fiat_25519_uint128 x9;
262 fiat_25519_uint128 x10;
263 fiat_25519_uint128 x11;
264 fiat_25519_uint128 x12;
265 fiat_25519_uint128 x13;
266 fiat_25519_uint128 x14;
267 fiat_25519_uint128 x15;
268 fiat_25519_uint128 x16;
269 fiat_25519_uint128 x17;
270 fiat_25519_uint128 x18;
271 fiat_25519_uint128 x19;
272 fiat_25519_uint128 x20;
273 fiat_25519_uint128 x21;
274 fiat_25519_uint128 x22;
275 fiat_25519_uint128 x23;
276 fiat_25519_uint128 x24;
277 uint64_t x25;
278 uint64_t x26;
279 fiat_25519_uint128 x27;
280 fiat_25519_uint128 x28;
281 fiat_25519_uint128 x29;
282 fiat_25519_uint128 x30;
283 fiat_25519_uint128 x31;
284 uint64_t x32;
285 uint64_t x33;
286 fiat_25519_uint128 x34;
287 uint64_t x35;
288 uint64_t x36;
289 fiat_25519_uint128 x37;
290 uint64_t x38;
291 uint64_t x39;
292 fiat_25519_uint128 x40;
293 uint64_t x41;
294 uint64_t x42;
295 uint64_t x43;
296 uint64_t x44;
297 uint64_t x45;
298 uint64_t x46;
299 uint64_t x47;
300 fiat_25519_uint1 x48;
301 uint64_t x49;
302 uint64_t x50;
303 x1 = ((arg1[4]) * UINT8_C(0x13));
304 x2 = (x1 * 0x2);
305 x3 = ((arg1[4]) * 0x2);
306 x4 = ((arg1[3]) * UINT8_C(0x13));
307 x5 = (x4 * 0x2);
308 x6 = ((arg1[3]) * 0x2);
309 x7 = ((arg1[2]) * 0x2);
310 x8 = ((arg1[1]) * 0x2);
311 x9 = ((fiat_25519_uint128)(arg1[4]) * x1);
312 x10 = ((fiat_25519_uint128)(arg1[3]) * x2);
313 x11 = ((fiat_25519_uint128)(arg1[3]) * x4);
314 x12 = ((fiat_25519_uint128)(arg1[2]) * x2);
315 x13 = ((fiat_25519_uint128)(arg1[2]) * x5);
316 x14 = ((fiat_25519_uint128)(arg1[2]) * (arg1[2]));
317 x15 = ((fiat_25519_uint128)(arg1[1]) * x2);
318 x16 = ((fiat_25519_uint128)(arg1[1]) * x6);
319 x17 = ((fiat_25519_uint128)(arg1[1]) * x7);
320 x18 = ((fiat_25519_uint128)(arg1[1]) * (arg1[1]));
321 x19 = ((fiat_25519_uint128)(arg1[0]) * x3);
322 x20 = ((fiat_25519_uint128)(arg1[0]) * x6);
323 x21 = ((fiat_25519_uint128)(arg1[0]) * x7);
324 x22 = ((fiat_25519_uint128)(arg1[0]) * x8);
325 x23 = ((fiat_25519_uint128)(arg1[0]) * (arg1[0]));
326 x24 = (x23 + (x15 + x13));
327 x25 = (uint64_t)(x24 >> 51);
328 x26 = (uint64_t)(x24 & UINT64_C(0x7ffffffffffff));
329 x27 = (x19 + (x16 + x14));
330 x28 = (x20 + (x17 + x9));
331 x29 = (x21 + (x18 + x10));
332 x30 = (x22 + (x12 + x11));
333 x31 = (x25 + x30);
334 x32 = (uint64_t)(x31 >> 51);
335 x33 = (uint64_t)(x31 & UINT64_C(0x7ffffffffffff));
336 x34 = (x32 + x29);
337 x35 = (uint64_t)(x34 >> 51);
338 x36 = (uint64_t)(x34 & UINT64_C(0x7ffffffffffff));
339 x37 = (x35 + x28);
340 x38 = (uint64_t)(x37 >> 51);
341 x39 = (uint64_t)(x37 & UINT64_C(0x7ffffffffffff));
342 x40 = (x38 + x27);
343 x41 = (uint64_t)(x40 >> 51);
344 x42 = (uint64_t)(x40 & UINT64_C(0x7ffffffffffff));
345 x43 = (x41 * UINT8_C(0x13));
346 x44 = (x26 + x43);
347 x45 = (x44 >> 51);
348 x46 = (x44 & UINT64_C(0x7ffffffffffff));
349 x47 = (x45 + x33);
350 x48 = (fiat_25519_uint1)(x47 >> 51);
351 x49 = (x47 & UINT64_C(0x7ffffffffffff));
352 x50 = (x48 + x36);
353 out1[0] = x46;
354 out1[1] = x49;
355 out1[2] = x50;
356 out1[3] = x39;
357 out1[4] = x42;
358 }
359
360 /*
361 * The function fiat_25519_carry reduces a field element.
362 *
363 * Postconditions:
364 * eval out1 mod m = eval arg1 mod m
365 *
366 */
fiat_25519_carry(fiat_25519_tight_field_element out1,const fiat_25519_loose_field_element arg1)367 static FIAT_25519_FIAT_INLINE void fiat_25519_carry(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) {
368 uint64_t x1;
369 uint64_t x2;
370 uint64_t x3;
371 uint64_t x4;
372 uint64_t x5;
373 uint64_t x6;
374 uint64_t x7;
375 uint64_t x8;
376 uint64_t x9;
377 uint64_t x10;
378 uint64_t x11;
379 uint64_t x12;
380 x1 = (arg1[0]);
381 x2 = ((x1 >> 51) + (arg1[1]));
382 x3 = ((x2 >> 51) + (arg1[2]));
383 x4 = ((x3 >> 51) + (arg1[3]));
384 x5 = ((x4 >> 51) + (arg1[4]));
385 x6 = ((x1 & UINT64_C(0x7ffffffffffff)) + ((x5 >> 51) * UINT8_C(0x13)));
386 x7 = ((fiat_25519_uint1)(x6 >> 51) + (x2 & UINT64_C(0x7ffffffffffff)));
387 x8 = (x6 & UINT64_C(0x7ffffffffffff));
388 x9 = (x7 & UINT64_C(0x7ffffffffffff));
389 x10 = ((fiat_25519_uint1)(x7 >> 51) + (x3 & UINT64_C(0x7ffffffffffff)));
390 x11 = (x4 & UINT64_C(0x7ffffffffffff));
391 x12 = (x5 & UINT64_C(0x7ffffffffffff));
392 out1[0] = x8;
393 out1[1] = x9;
394 out1[2] = x10;
395 out1[3] = x11;
396 out1[4] = x12;
397 }
398
399 /*
400 * The function fiat_25519_add adds two field elements.
401 *
402 * Postconditions:
403 * eval out1 mod m = (eval arg1 + eval arg2) mod m
404 *
405 */
fiat_25519_add(fiat_25519_loose_field_element out1,const fiat_25519_tight_field_element arg1,const fiat_25519_tight_field_element arg2)406 static FIAT_25519_FIAT_INLINE void fiat_25519_add(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) {
407 uint64_t x1;
408 uint64_t x2;
409 uint64_t x3;
410 uint64_t x4;
411 uint64_t x5;
412 x1 = ((arg1[0]) + (arg2[0]));
413 x2 = ((arg1[1]) + (arg2[1]));
414 x3 = ((arg1[2]) + (arg2[2]));
415 x4 = ((arg1[3]) + (arg2[3]));
416 x5 = ((arg1[4]) + (arg2[4]));
417 out1[0] = x1;
418 out1[1] = x2;
419 out1[2] = x3;
420 out1[3] = x4;
421 out1[4] = x5;
422 }
423
424 /*
425 * The function fiat_25519_sub subtracts two field elements.
426 *
427 * Postconditions:
428 * eval out1 mod m = (eval arg1 - eval arg2) mod m
429 *
430 */
fiat_25519_sub(fiat_25519_loose_field_element out1,const fiat_25519_tight_field_element arg1,const fiat_25519_tight_field_element arg2)431 static FIAT_25519_FIAT_INLINE void fiat_25519_sub(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) {
432 uint64_t x1;
433 uint64_t x2;
434 uint64_t x3;
435 uint64_t x4;
436 uint64_t x5;
437 x1 = ((UINT64_C(0xfffffffffffda) + (arg1[0])) - (arg2[0]));
438 x2 = ((UINT64_C(0xffffffffffffe) + (arg1[1])) - (arg2[1]));
439 x3 = ((UINT64_C(0xffffffffffffe) + (arg1[2])) - (arg2[2]));
440 x4 = ((UINT64_C(0xffffffffffffe) + (arg1[3])) - (arg2[3]));
441 x5 = ((UINT64_C(0xffffffffffffe) + (arg1[4])) - (arg2[4]));
442 out1[0] = x1;
443 out1[1] = x2;
444 out1[2] = x3;
445 out1[3] = x4;
446 out1[4] = x5;
447 }
448
449 /*
450 * The function fiat_25519_opp negates a field element.
451 *
452 * Postconditions:
453 * eval out1 mod m = -eval arg1 mod m
454 *
455 */
fiat_25519_opp(fiat_25519_loose_field_element out1,const fiat_25519_tight_field_element arg1)456 static FIAT_25519_FIAT_INLINE void fiat_25519_opp(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1) {
457 uint64_t x1;
458 uint64_t x2;
459 uint64_t x3;
460 uint64_t x4;
461 uint64_t x5;
462 x1 = (UINT64_C(0xfffffffffffda) - (arg1[0]));
463 x2 = (UINT64_C(0xffffffffffffe) - (arg1[1]));
464 x3 = (UINT64_C(0xffffffffffffe) - (arg1[2]));
465 x4 = (UINT64_C(0xffffffffffffe) - (arg1[3]));
466 x5 = (UINT64_C(0xffffffffffffe) - (arg1[4]));
467 out1[0] = x1;
468 out1[1] = x2;
469 out1[2] = x3;
470 out1[3] = x4;
471 out1[4] = x5;
472 }
473
474 /*
475 * The function fiat_25519_selectznz is a multi-limb conditional select.
476 *
477 * Postconditions:
478 * eval out1 = (if arg1 = 0 then eval arg2 else eval arg3)
479 *
480 * Input Bounds:
481 * arg1: [0x0 ~> 0x1]
482 * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
483 * arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
484 * Output Bounds:
485 * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
486 */
fiat_25519_selectznz(uint64_t out1[5],fiat_25519_uint1 arg1,const uint64_t arg2[5],const uint64_t arg3[5])487 static FIAT_25519_FIAT_INLINE void fiat_25519_selectznz(uint64_t out1[5], fiat_25519_uint1 arg1, const uint64_t arg2[5], const uint64_t arg3[5]) {
488 uint64_t x1;
489 uint64_t x2;
490 uint64_t x3;
491 uint64_t x4;
492 uint64_t x5;
493 fiat_25519_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0]));
494 fiat_25519_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1]));
495 fiat_25519_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2]));
496 fiat_25519_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3]));
497 fiat_25519_cmovznz_u64(&x5, arg1, (arg2[4]), (arg3[4]));
498 out1[0] = x1;
499 out1[1] = x2;
500 out1[2] = x3;
501 out1[3] = x4;
502 out1[4] = x5;
503 }
504
505 /*
506 * The function fiat_25519_to_bytes serializes a field element to bytes in little-endian order.
507 *
508 * Postconditions:
509 * out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
510 *
511 * Output Bounds:
512 * out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x7f]]
513 */
fiat_25519_to_bytes(uint8_t out1[32],const fiat_25519_tight_field_element arg1)514 static FIAT_25519_FIAT_INLINE void fiat_25519_to_bytes(uint8_t out1[32], const fiat_25519_tight_field_element arg1) {
515 uint64_t x1;
516 fiat_25519_uint1 x2;
517 uint64_t x3;
518 fiat_25519_uint1 x4;
519 uint64_t x5;
520 fiat_25519_uint1 x6;
521 uint64_t x7;
522 fiat_25519_uint1 x8;
523 uint64_t x9;
524 fiat_25519_uint1 x10;
525 uint64_t x11;
526 uint64_t x12;
527 fiat_25519_uint1 x13;
528 uint64_t x14;
529 fiat_25519_uint1 x15;
530 uint64_t x16;
531 fiat_25519_uint1 x17;
532 uint64_t x18;
533 fiat_25519_uint1 x19;
534 uint64_t x20;
535 fiat_25519_uint1 x21;
536 uint64_t x22;
537 uint64_t x23;
538 uint64_t x24;
539 uint64_t x25;
540 uint8_t x26;
541 uint64_t x27;
542 uint8_t x28;
543 uint64_t x29;
544 uint8_t x30;
545 uint64_t x31;
546 uint8_t x32;
547 uint64_t x33;
548 uint8_t x34;
549 uint64_t x35;
550 uint8_t x36;
551 uint8_t x37;
552 uint64_t x38;
553 uint8_t x39;
554 uint64_t x40;
555 uint8_t x41;
556 uint64_t x42;
557 uint8_t x43;
558 uint64_t x44;
559 uint8_t x45;
560 uint64_t x46;
561 uint8_t x47;
562 uint64_t x48;
563 uint8_t x49;
564 uint8_t x50;
565 uint64_t x51;
566 uint8_t x52;
567 uint64_t x53;
568 uint8_t x54;
569 uint64_t x55;
570 uint8_t x56;
571 uint64_t x57;
572 uint8_t x58;
573 uint64_t x59;
574 uint8_t x60;
575 uint64_t x61;
576 uint8_t x62;
577 uint64_t x63;
578 uint8_t x64;
579 fiat_25519_uint1 x65;
580 uint64_t x66;
581 uint8_t x67;
582 uint64_t x68;
583 uint8_t x69;
584 uint64_t x70;
585 uint8_t x71;
586 uint64_t x72;
587 uint8_t x73;
588 uint64_t x74;
589 uint8_t x75;
590 uint64_t x76;
591 uint8_t x77;
592 uint8_t x78;
593 uint64_t x79;
594 uint8_t x80;
595 uint64_t x81;
596 uint8_t x82;
597 uint64_t x83;
598 uint8_t x84;
599 uint64_t x85;
600 uint8_t x86;
601 uint64_t x87;
602 uint8_t x88;
603 uint64_t x89;
604 uint8_t x90;
605 uint8_t x91;
606 fiat_25519_subborrowx_u51(&x1, &x2, 0x0, (arg1[0]), UINT64_C(0x7ffffffffffed));
607 fiat_25519_subborrowx_u51(&x3, &x4, x2, (arg1[1]), UINT64_C(0x7ffffffffffff));
608 fiat_25519_subborrowx_u51(&x5, &x6, x4, (arg1[2]), UINT64_C(0x7ffffffffffff));
609 fiat_25519_subborrowx_u51(&x7, &x8, x6, (arg1[3]), UINT64_C(0x7ffffffffffff));
610 fiat_25519_subborrowx_u51(&x9, &x10, x8, (arg1[4]), UINT64_C(0x7ffffffffffff));
611 fiat_25519_cmovznz_u64(&x11, x10, 0x0, UINT64_C(0xffffffffffffffff));
612 fiat_25519_addcarryx_u51(&x12, &x13, 0x0, x1, (x11 & UINT64_C(0x7ffffffffffed)));
613 fiat_25519_addcarryx_u51(&x14, &x15, x13, x3, (x11 & UINT64_C(0x7ffffffffffff)));
614 fiat_25519_addcarryx_u51(&x16, &x17, x15, x5, (x11 & UINT64_C(0x7ffffffffffff)));
615 fiat_25519_addcarryx_u51(&x18, &x19, x17, x7, (x11 & UINT64_C(0x7ffffffffffff)));
616 fiat_25519_addcarryx_u51(&x20, &x21, x19, x9, (x11 & UINT64_C(0x7ffffffffffff)));
617 x22 = (x20 << 4);
618 x23 = (x18 * (uint64_t)0x2);
619 x24 = (x16 << 6);
620 x25 = (x14 << 3);
621 x26 = (uint8_t)(x12 & UINT8_C(0xff));
622 x27 = (x12 >> 8);
623 x28 = (uint8_t)(x27 & UINT8_C(0xff));
624 x29 = (x27 >> 8);
625 x30 = (uint8_t)(x29 & UINT8_C(0xff));
626 x31 = (x29 >> 8);
627 x32 = (uint8_t)(x31 & UINT8_C(0xff));
628 x33 = (x31 >> 8);
629 x34 = (uint8_t)(x33 & UINT8_C(0xff));
630 x35 = (x33 >> 8);
631 x36 = (uint8_t)(x35 & UINT8_C(0xff));
632 x37 = (uint8_t)(x35 >> 8);
633 x38 = (x25 + (uint64_t)x37);
634 x39 = (uint8_t)(x38 & UINT8_C(0xff));
635 x40 = (x38 >> 8);
636 x41 = (uint8_t)(x40 & UINT8_C(0xff));
637 x42 = (x40 >> 8);
638 x43 = (uint8_t)(x42 & UINT8_C(0xff));
639 x44 = (x42 >> 8);
640 x45 = (uint8_t)(x44 & UINT8_C(0xff));
641 x46 = (x44 >> 8);
642 x47 = (uint8_t)(x46 & UINT8_C(0xff));
643 x48 = (x46 >> 8);
644 x49 = (uint8_t)(x48 & UINT8_C(0xff));
645 x50 = (uint8_t)(x48 >> 8);
646 x51 = (x24 + (uint64_t)x50);
647 x52 = (uint8_t)(x51 & UINT8_C(0xff));
648 x53 = (x51 >> 8);
649 x54 = (uint8_t)(x53 & UINT8_C(0xff));
650 x55 = (x53 >> 8);
651 x56 = (uint8_t)(x55 & UINT8_C(0xff));
652 x57 = (x55 >> 8);
653 x58 = (uint8_t)(x57 & UINT8_C(0xff));
654 x59 = (x57 >> 8);
655 x60 = (uint8_t)(x59 & UINT8_C(0xff));
656 x61 = (x59 >> 8);
657 x62 = (uint8_t)(x61 & UINT8_C(0xff));
658 x63 = (x61 >> 8);
659 x64 = (uint8_t)(x63 & UINT8_C(0xff));
660 x65 = (fiat_25519_uint1)(x63 >> 8);
661 x66 = (x23 + (uint64_t)x65);
662 x67 = (uint8_t)(x66 & UINT8_C(0xff));
663 x68 = (x66 >> 8);
664 x69 = (uint8_t)(x68 & UINT8_C(0xff));
665 x70 = (x68 >> 8);
666 x71 = (uint8_t)(x70 & UINT8_C(0xff));
667 x72 = (x70 >> 8);
668 x73 = (uint8_t)(x72 & UINT8_C(0xff));
669 x74 = (x72 >> 8);
670 x75 = (uint8_t)(x74 & UINT8_C(0xff));
671 x76 = (x74 >> 8);
672 x77 = (uint8_t)(x76 & UINT8_C(0xff));
673 x78 = (uint8_t)(x76 >> 8);
674 x79 = (x22 + (uint64_t)x78);
675 x80 = (uint8_t)(x79 & UINT8_C(0xff));
676 x81 = (x79 >> 8);
677 x82 = (uint8_t)(x81 & UINT8_C(0xff));
678 x83 = (x81 >> 8);
679 x84 = (uint8_t)(x83 & UINT8_C(0xff));
680 x85 = (x83 >> 8);
681 x86 = (uint8_t)(x85 & UINT8_C(0xff));
682 x87 = (x85 >> 8);
683 x88 = (uint8_t)(x87 & UINT8_C(0xff));
684 x89 = (x87 >> 8);
685 x90 = (uint8_t)(x89 & UINT8_C(0xff));
686 x91 = (uint8_t)(x89 >> 8);
687 out1[0] = x26;
688 out1[1] = x28;
689 out1[2] = x30;
690 out1[3] = x32;
691 out1[4] = x34;
692 out1[5] = x36;
693 out1[6] = x39;
694 out1[7] = x41;
695 out1[8] = x43;
696 out1[9] = x45;
697 out1[10] = x47;
698 out1[11] = x49;
699 out1[12] = x52;
700 out1[13] = x54;
701 out1[14] = x56;
702 out1[15] = x58;
703 out1[16] = x60;
704 out1[17] = x62;
705 out1[18] = x64;
706 out1[19] = x67;
707 out1[20] = x69;
708 out1[21] = x71;
709 out1[22] = x73;
710 out1[23] = x75;
711 out1[24] = x77;
712 out1[25] = x80;
713 out1[26] = x82;
714 out1[27] = x84;
715 out1[28] = x86;
716 out1[29] = x88;
717 out1[30] = x90;
718 out1[31] = x91;
719 }
720
721 /*
722 * The function fiat_25519_from_bytes deserializes a field element from bytes in little-endian order.
723 *
724 * Postconditions:
725 * eval out1 mod m = bytes_eval arg1 mod m
726 *
727 * Input Bounds:
728 * arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x7f]]
729 */
fiat_25519_from_bytes(fiat_25519_tight_field_element out1,const uint8_t arg1[32])730 static FIAT_25519_FIAT_INLINE void fiat_25519_from_bytes(fiat_25519_tight_field_element out1, const uint8_t arg1[32]) {
731 uint64_t x1;
732 uint64_t x2;
733 uint64_t x3;
734 uint64_t x4;
735 uint64_t x5;
736 uint64_t x6;
737 uint64_t x7;
738 uint64_t x8;
739 uint64_t x9;
740 uint64_t x10;
741 uint64_t x11;
742 uint64_t x12;
743 uint64_t x13;
744 uint64_t x14;
745 uint64_t x15;
746 uint64_t x16;
747 uint64_t x17;
748 uint64_t x18;
749 uint64_t x19;
750 uint64_t x20;
751 uint64_t x21;
752 uint64_t x22;
753 uint64_t x23;
754 uint64_t x24;
755 uint64_t x25;
756 uint64_t x26;
757 uint64_t x27;
758 uint64_t x28;
759 uint64_t x29;
760 uint64_t x30;
761 uint64_t x31;
762 uint8_t x32;
763 uint64_t x33;
764 uint64_t x34;
765 uint64_t x35;
766 uint64_t x36;
767 uint64_t x37;
768 uint64_t x38;
769 uint64_t x39;
770 uint8_t x40;
771 uint64_t x41;
772 uint64_t x42;
773 uint64_t x43;
774 uint64_t x44;
775 uint64_t x45;
776 uint64_t x46;
777 uint64_t x47;
778 uint8_t x48;
779 uint64_t x49;
780 uint64_t x50;
781 uint64_t x51;
782 uint64_t x52;
783 uint64_t x53;
784 uint64_t x54;
785 uint64_t x55;
786 uint64_t x56;
787 uint8_t x57;
788 uint64_t x58;
789 uint64_t x59;
790 uint64_t x60;
791 uint64_t x61;
792 uint64_t x62;
793 uint64_t x63;
794 uint64_t x64;
795 uint8_t x65;
796 uint64_t x66;
797 uint64_t x67;
798 uint64_t x68;
799 uint64_t x69;
800 uint64_t x70;
801 uint64_t x71;
802 x1 = ((uint64_t)(arg1[31]) << 44);
803 x2 = ((uint64_t)(arg1[30]) << 36);
804 x3 = ((uint64_t)(arg1[29]) << 28);
805 x4 = ((uint64_t)(arg1[28]) << 20);
806 x5 = ((uint64_t)(arg1[27]) << 12);
807 x6 = ((uint64_t)(arg1[26]) << 4);
808 x7 = ((uint64_t)(arg1[25]) << 47);
809 x8 = ((uint64_t)(arg1[24]) << 39);
810 x9 = ((uint64_t)(arg1[23]) << 31);
811 x10 = ((uint64_t)(arg1[22]) << 23);
812 x11 = ((uint64_t)(arg1[21]) << 15);
813 x12 = ((uint64_t)(arg1[20]) << 7);
814 x13 = ((uint64_t)(arg1[19]) << 50);
815 x14 = ((uint64_t)(arg1[18]) << 42);
816 x15 = ((uint64_t)(arg1[17]) << 34);
817 x16 = ((uint64_t)(arg1[16]) << 26);
818 x17 = ((uint64_t)(arg1[15]) << 18);
819 x18 = ((uint64_t)(arg1[14]) << 10);
820 x19 = ((uint64_t)(arg1[13]) << 2);
821 x20 = ((uint64_t)(arg1[12]) << 45);
822 x21 = ((uint64_t)(arg1[11]) << 37);
823 x22 = ((uint64_t)(arg1[10]) << 29);
824 x23 = ((uint64_t)(arg1[9]) << 21);
825 x24 = ((uint64_t)(arg1[8]) << 13);
826 x25 = ((uint64_t)(arg1[7]) << 5);
827 x26 = ((uint64_t)(arg1[6]) << 48);
828 x27 = ((uint64_t)(arg1[5]) << 40);
829 x28 = ((uint64_t)(arg1[4]) << 32);
830 x29 = ((uint64_t)(arg1[3]) << 24);
831 x30 = ((uint64_t)(arg1[2]) << 16);
832 x31 = ((uint64_t)(arg1[1]) << 8);
833 x32 = (arg1[0]);
834 x33 = (x31 + (uint64_t)x32);
835 x34 = (x30 + x33);
836 x35 = (x29 + x34);
837 x36 = (x28 + x35);
838 x37 = (x27 + x36);
839 x38 = (x26 + x37);
840 x39 = (x38 & UINT64_C(0x7ffffffffffff));
841 x40 = (uint8_t)(x38 >> 51);
842 x41 = (x25 + (uint64_t)x40);
843 x42 = (x24 + x41);
844 x43 = (x23 + x42);
845 x44 = (x22 + x43);
846 x45 = (x21 + x44);
847 x46 = (x20 + x45);
848 x47 = (x46 & UINT64_C(0x7ffffffffffff));
849 x48 = (uint8_t)(x46 >> 51);
850 x49 = (x19 + (uint64_t)x48);
851 x50 = (x18 + x49);
852 x51 = (x17 + x50);
853 x52 = (x16 + x51);
854 x53 = (x15 + x52);
855 x54 = (x14 + x53);
856 x55 = (x13 + x54);
857 x56 = (x55 & UINT64_C(0x7ffffffffffff));
858 x57 = (uint8_t)(x55 >> 51);
859 x58 = (x12 + (uint64_t)x57);
860 x59 = (x11 + x58);
861 x60 = (x10 + x59);
862 x61 = (x9 + x60);
863 x62 = (x8 + x61);
864 x63 = (x7 + x62);
865 x64 = (x63 & UINT64_C(0x7ffffffffffff));
866 x65 = (uint8_t)(x63 >> 51);
867 x66 = (x6 + (uint64_t)x65);
868 x67 = (x5 + x66);
869 x68 = (x4 + x67);
870 x69 = (x3 + x68);
871 x70 = (x2 + x69);
872 x71 = (x1 + x70);
873 out1[0] = x39;
874 out1[1] = x47;
875 out1[2] = x56;
876 out1[3] = x64;
877 out1[4] = x71;
878 }
879
880 /*
881 * The function fiat_25519_relax is the identity function converting from tight field elements to loose field elements.
882 *
883 * Postconditions:
884 * out1 = arg1
885 *
886 */
fiat_25519_relax(fiat_25519_loose_field_element out1,const fiat_25519_tight_field_element arg1)887 static FIAT_25519_FIAT_INLINE void fiat_25519_relax(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1) {
888 uint64_t x1;
889 uint64_t x2;
890 uint64_t x3;
891 uint64_t x4;
892 uint64_t x5;
893 x1 = (arg1[0]);
894 x2 = (arg1[1]);
895 x3 = (arg1[2]);
896 x4 = (arg1[3]);
897 x5 = (arg1[4]);
898 out1[0] = x1;
899 out1[1] = x2;
900 out1[2] = x3;
901 out1[3] = x4;
902 out1[4] = x5;
903 }
904
905 /*
906 * The function fiat_25519_carry_scmul_121666 multiplies a field element by 121666 and reduces the result.
907 *
908 * Postconditions:
909 * eval out1 mod m = (121666 * eval arg1) mod m
910 *
911 */
fiat_25519_carry_scmul_121666(fiat_25519_tight_field_element out1,const fiat_25519_loose_field_element arg1)912 static FIAT_25519_FIAT_INLINE void fiat_25519_carry_scmul_121666(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) {
913 fiat_25519_uint128 x1;
914 fiat_25519_uint128 x2;
915 fiat_25519_uint128 x3;
916 fiat_25519_uint128 x4;
917 fiat_25519_uint128 x5;
918 uint64_t x6;
919 uint64_t x7;
920 fiat_25519_uint128 x8;
921 uint64_t x9;
922 uint64_t x10;
923 fiat_25519_uint128 x11;
924 uint64_t x12;
925 uint64_t x13;
926 fiat_25519_uint128 x14;
927 uint64_t x15;
928 uint64_t x16;
929 fiat_25519_uint128 x17;
930 uint64_t x18;
931 uint64_t x19;
932 uint64_t x20;
933 uint64_t x21;
934 fiat_25519_uint1 x22;
935 uint64_t x23;
936 uint64_t x24;
937 fiat_25519_uint1 x25;
938 uint64_t x26;
939 uint64_t x27;
940 x1 = ((fiat_25519_uint128)UINT32_C(0x1db42) * (arg1[4]));
941 x2 = ((fiat_25519_uint128)UINT32_C(0x1db42) * (arg1[3]));
942 x3 = ((fiat_25519_uint128)UINT32_C(0x1db42) * (arg1[2]));
943 x4 = ((fiat_25519_uint128)UINT32_C(0x1db42) * (arg1[1]));
944 x5 = ((fiat_25519_uint128)UINT32_C(0x1db42) * (arg1[0]));
945 x6 = (uint64_t)(x5 >> 51);
946 x7 = (uint64_t)(x5 & UINT64_C(0x7ffffffffffff));
947 x8 = (x6 + x4);
948 x9 = (uint64_t)(x8 >> 51);
949 x10 = (uint64_t)(x8 & UINT64_C(0x7ffffffffffff));
950 x11 = (x9 + x3);
951 x12 = (uint64_t)(x11 >> 51);
952 x13 = (uint64_t)(x11 & UINT64_C(0x7ffffffffffff));
953 x14 = (x12 + x2);
954 x15 = (uint64_t)(x14 >> 51);
955 x16 = (uint64_t)(x14 & UINT64_C(0x7ffffffffffff));
956 x17 = (x15 + x1);
957 x18 = (uint64_t)(x17 >> 51);
958 x19 = (uint64_t)(x17 & UINT64_C(0x7ffffffffffff));
959 x20 = (x18 * UINT8_C(0x13));
960 x21 = (x7 + x20);
961 x22 = (fiat_25519_uint1)(x21 >> 51);
962 x23 = (x21 & UINT64_C(0x7ffffffffffff));
963 x24 = (x22 + x10);
964 x25 = (fiat_25519_uint1)(x24 >> 51);
965 x26 = (x24 & UINT64_C(0x7ffffffffffff));
966 x27 = (x25 + x13);
967 out1[0] = x23;
968 out1[1] = x26;
969 out1[2] = x27;
970 out1[3] = x16;
971 out1[4] = x19;
972 }
973