1 /* Autogenerated */
2 /* curve description: 25519 */
3 /* requested operations: carry_mul, carry_square, carry_scmul121666, carry, add, sub, opp, selectznz, to_bytes, from_bytes */
4 /* n = 5 (from "5") */
5 /* s = 0x8000000000000000000000000000000000000000000000000000000000000000 (from "2^255") */
6 /* c = [(1, 19)] (from "1,19") */
7 /* machine_wordsize = 64 (from "64") */
8 
9 #include <stdint.h>
10 typedef unsigned char fiat_25519_uint1;
11 typedef signed char fiat_25519_int1;
12 typedef signed __int128 fiat_25519_int128;
13 typedef unsigned __int128 fiat_25519_uint128;
14 
15 
16 /*
17  * Input Bounds:
18  *   arg1: [0x0 ~> 0x1]
19  *   arg2: [0x0 ~> 0x7ffffffffffff]
20  *   arg3: [0x0 ~> 0x7ffffffffffff]
21  * Output Bounds:
22  *   out1: [0x0 ~> 0x7ffffffffffff]
23  *   out2: [0x0 ~> 0x1]
24  */
fiat_25519_addcarryx_u51(uint64_t * out1,fiat_25519_uint1 * out2,fiat_25519_uint1 arg1,uint64_t arg2,uint64_t arg3)25 static void fiat_25519_addcarryx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) {
26   uint64_t x1 = ((arg1 + arg2) + arg3);
27   uint64_t x2 = (x1 & UINT64_C(0x7ffffffffffff));
28   fiat_25519_uint1 x3 = (fiat_25519_uint1)(x1 >> 51);
29   *out1 = x2;
30   *out2 = x3;
31 }
32 
33 /*
34  * Input Bounds:
35  *   arg1: [0x0 ~> 0x1]
36  *   arg2: [0x0 ~> 0x7ffffffffffff]
37  *   arg3: [0x0 ~> 0x7ffffffffffff]
38  * Output Bounds:
39  *   out1: [0x0 ~> 0x7ffffffffffff]
40  *   out2: [0x0 ~> 0x1]
41  */
fiat_25519_subborrowx_u51(uint64_t * out1,fiat_25519_uint1 * out2,fiat_25519_uint1 arg1,uint64_t arg2,uint64_t arg3)42 static void fiat_25519_subborrowx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) {
43   int64_t x1 = ((int64_t)(arg2 - (int64_t)arg1) - (int64_t)arg3);
44   fiat_25519_int1 x2 = (fiat_25519_int1)(x1 >> 51);
45   uint64_t x3 = (x1 & UINT64_C(0x7ffffffffffff));
46   *out1 = x3;
47   *out2 = (fiat_25519_uint1)(0x0 - x2);
48 }
49 
50 /*
51  * Input Bounds:
52  *   arg1: [0x0 ~> 0x1]
53  *   arg2: [0x0 ~> 0xffffffffffffffff]
54  *   arg3: [0x0 ~> 0xffffffffffffffff]
55  * Output Bounds:
56  *   out1: [0x0 ~> 0xffffffffffffffff]
57  */
fiat_25519_cmovznz_u64(uint64_t * out1,fiat_25519_uint1 arg1,uint64_t arg2,uint64_t arg3)58 static void fiat_25519_cmovznz_u64(uint64_t* out1, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) {
59   fiat_25519_uint1 x1 = (!(!arg1));
60   uint64_t x2 = ((fiat_25519_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff));
61   // Note this line has been patched from the synthesized code to add value
62   // barriers.
63   //
64   // Clang recognizes this pattern as a select. While it usually transforms it
65   // to a cmov, it sometimes further transforms it into a branch, which we do
66   // not want.
67   uint64_t x3 = ((value_barrier_u64(x2) & arg3) | (value_barrier_u64(~x2) & arg2));
68   *out1 = x3;
69 }
70 
71 /*
72  * Input Bounds:
73  *   arg1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]]
74  *   arg2: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]]
75  * Output Bounds:
76  *   out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]]
77  */
fiat_25519_carry_mul(uint64_t out1[5],const uint64_t arg1[5],const uint64_t arg2[5])78 static void fiat_25519_carry_mul(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) {
79   fiat_25519_uint128 x1 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13)));
80   fiat_25519_uint128 x2 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[3]) * (uint64_t)UINT8_C(0x13)));
81   fiat_25519_uint128 x3 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[2]) * (uint64_t)UINT8_C(0x13)));
82   fiat_25519_uint128 x4 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[1]) * (uint64_t)UINT8_C(0x13)));
83   fiat_25519_uint128 x5 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13)));
84   fiat_25519_uint128 x6 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[3]) * (uint64_t)UINT8_C(0x13)));
85   fiat_25519_uint128 x7 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[2]) * (uint64_t)UINT8_C(0x13)));
86   fiat_25519_uint128 x8 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13)));
87   fiat_25519_uint128 x9 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[3]) * (uint64_t)UINT8_C(0x13)));
88   fiat_25519_uint128 x10 = ((fiat_25519_uint128)(arg1[1]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13)));
89   fiat_25519_uint128 x11 = ((fiat_25519_uint128)(arg1[4]) * (arg2[0]));
90   fiat_25519_uint128 x12 = ((fiat_25519_uint128)(arg1[3]) * (arg2[1]));
91   fiat_25519_uint128 x13 = ((fiat_25519_uint128)(arg1[3]) * (arg2[0]));
92   fiat_25519_uint128 x14 = ((fiat_25519_uint128)(arg1[2]) * (arg2[2]));
93   fiat_25519_uint128 x15 = ((fiat_25519_uint128)(arg1[2]) * (arg2[1]));
94   fiat_25519_uint128 x16 = ((fiat_25519_uint128)(arg1[2]) * (arg2[0]));
95   fiat_25519_uint128 x17 = ((fiat_25519_uint128)(arg1[1]) * (arg2[3]));
96   fiat_25519_uint128 x18 = ((fiat_25519_uint128)(arg1[1]) * (arg2[2]));
97   fiat_25519_uint128 x19 = ((fiat_25519_uint128)(arg1[1]) * (arg2[1]));
98   fiat_25519_uint128 x20 = ((fiat_25519_uint128)(arg1[1]) * (arg2[0]));
99   fiat_25519_uint128 x21 = ((fiat_25519_uint128)(arg1[0]) * (arg2[4]));
100   fiat_25519_uint128 x22 = ((fiat_25519_uint128)(arg1[0]) * (arg2[3]));
101   fiat_25519_uint128 x23 = ((fiat_25519_uint128)(arg1[0]) * (arg2[2]));
102   fiat_25519_uint128 x24 = ((fiat_25519_uint128)(arg1[0]) * (arg2[1]));
103   fiat_25519_uint128 x25 = ((fiat_25519_uint128)(arg1[0]) * (arg2[0]));
104   fiat_25519_uint128 x26 = (x25 + (x10 + (x9 + (x7 + x4))));
105   uint64_t x27 = (uint64_t)(x26 >> 51);
106   uint64_t x28 = (uint64_t)(x26 & UINT64_C(0x7ffffffffffff));
107   fiat_25519_uint128 x29 = (x21 + (x17 + (x14 + (x12 + x11))));
108   fiat_25519_uint128 x30 = (x22 + (x18 + (x15 + (x13 + x1))));
109   fiat_25519_uint128 x31 = (x23 + (x19 + (x16 + (x5 + x2))));
110   fiat_25519_uint128 x32 = (x24 + (x20 + (x8 + (x6 + x3))));
111   fiat_25519_uint128 x33 = (x27 + x32);
112   uint64_t x34 = (uint64_t)(x33 >> 51);
113   uint64_t x35 = (uint64_t)(x33 & UINT64_C(0x7ffffffffffff));
114   fiat_25519_uint128 x36 = (x34 + x31);
115   uint64_t x37 = (uint64_t)(x36 >> 51);
116   uint64_t x38 = (uint64_t)(x36 & UINT64_C(0x7ffffffffffff));
117   fiat_25519_uint128 x39 = (x37 + x30);
118   uint64_t x40 = (uint64_t)(x39 >> 51);
119   uint64_t x41 = (uint64_t)(x39 & UINT64_C(0x7ffffffffffff));
120   fiat_25519_uint128 x42 = (x40 + x29);
121   uint64_t x43 = (uint64_t)(x42 >> 51);
122   uint64_t x44 = (uint64_t)(x42 & UINT64_C(0x7ffffffffffff));
123   uint64_t x45 = (x43 * (uint64_t)UINT8_C(0x13));
124   uint64_t x46 = (x28 + x45);
125   uint64_t x47 = (x46 >> 51);
126   uint64_t x48 = (x46 & UINT64_C(0x7ffffffffffff));
127   uint64_t x49 = (x47 + x35);
128   uint64_t x50 = (x49 >> 51);
129   uint64_t x51 = (x49 & UINT64_C(0x7ffffffffffff));
130   uint64_t x52 = (x50 + x38);
131   out1[0] = x48;
132   out1[1] = x51;
133   out1[2] = x52;
134   out1[3] = x41;
135   out1[4] = x44;
136 }
137 
138 /*
139  * Input Bounds:
140  *   arg1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]]
141  * Output Bounds:
142  *   out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]]
143  */
fiat_25519_carry_square(uint64_t out1[5],const uint64_t arg1[5])144 static void fiat_25519_carry_square(uint64_t out1[5], const uint64_t arg1[5]) {
145   uint64_t x1 = ((arg1[4]) * (uint64_t)UINT8_C(0x13));
146   uint64_t x2 = (x1 * (uint64_t)0x2);
147   uint64_t x3 = ((arg1[4]) * (uint64_t)0x2);
148   uint64_t x4 = ((arg1[3]) * (uint64_t)UINT8_C(0x13));
149   uint64_t x5 = (x4 * (uint64_t)0x2);
150   uint64_t x6 = ((arg1[3]) * (uint64_t)0x2);
151   uint64_t x7 = ((arg1[2]) * (uint64_t)0x2);
152   uint64_t x8 = ((arg1[1]) * (uint64_t)0x2);
153   fiat_25519_uint128 x9 = ((fiat_25519_uint128)(arg1[4]) * x1);
154   fiat_25519_uint128 x10 = ((fiat_25519_uint128)(arg1[3]) * x2);
155   fiat_25519_uint128 x11 = ((fiat_25519_uint128)(arg1[3]) * x4);
156   fiat_25519_uint128 x12 = ((fiat_25519_uint128)(arg1[2]) * x2);
157   fiat_25519_uint128 x13 = ((fiat_25519_uint128)(arg1[2]) * x5);
158   fiat_25519_uint128 x14 = ((fiat_25519_uint128)(arg1[2]) * (arg1[2]));
159   fiat_25519_uint128 x15 = ((fiat_25519_uint128)(arg1[1]) * x2);
160   fiat_25519_uint128 x16 = ((fiat_25519_uint128)(arg1[1]) * x6);
161   fiat_25519_uint128 x17 = ((fiat_25519_uint128)(arg1[1]) * x7);
162   fiat_25519_uint128 x18 = ((fiat_25519_uint128)(arg1[1]) * (arg1[1]));
163   fiat_25519_uint128 x19 = ((fiat_25519_uint128)(arg1[0]) * x3);
164   fiat_25519_uint128 x20 = ((fiat_25519_uint128)(arg1[0]) * x6);
165   fiat_25519_uint128 x21 = ((fiat_25519_uint128)(arg1[0]) * x7);
166   fiat_25519_uint128 x22 = ((fiat_25519_uint128)(arg1[0]) * x8);
167   fiat_25519_uint128 x23 = ((fiat_25519_uint128)(arg1[0]) * (arg1[0]));
168   fiat_25519_uint128 x24 = (x23 + (x15 + x13));
169   uint64_t x25 = (uint64_t)(x24 >> 51);
170   uint64_t x26 = (uint64_t)(x24 & UINT64_C(0x7ffffffffffff));
171   fiat_25519_uint128 x27 = (x19 + (x16 + x14));
172   fiat_25519_uint128 x28 = (x20 + (x17 + x9));
173   fiat_25519_uint128 x29 = (x21 + (x18 + x10));
174   fiat_25519_uint128 x30 = (x22 + (x12 + x11));
175   fiat_25519_uint128 x31 = (x25 + x30);
176   uint64_t x32 = (uint64_t)(x31 >> 51);
177   uint64_t x33 = (uint64_t)(x31 & UINT64_C(0x7ffffffffffff));
178   fiat_25519_uint128 x34 = (x32 + x29);
179   uint64_t x35 = (uint64_t)(x34 >> 51);
180   uint64_t x36 = (uint64_t)(x34 & UINT64_C(0x7ffffffffffff));
181   fiat_25519_uint128 x37 = (x35 + x28);
182   uint64_t x38 = (uint64_t)(x37 >> 51);
183   uint64_t x39 = (uint64_t)(x37 & UINT64_C(0x7ffffffffffff));
184   fiat_25519_uint128 x40 = (x38 + x27);
185   uint64_t x41 = (uint64_t)(x40 >> 51);
186   uint64_t x42 = (uint64_t)(x40 & UINT64_C(0x7ffffffffffff));
187   uint64_t x43 = (x41 * (uint64_t)UINT8_C(0x13));
188   uint64_t x44 = (x26 + x43);
189   uint64_t x45 = (x44 >> 51);
190   uint64_t x46 = (x44 & UINT64_C(0x7ffffffffffff));
191   uint64_t x47 = (x45 + x33);
192   uint64_t x48 = (x47 >> 51);
193   uint64_t x49 = (x47 & UINT64_C(0x7ffffffffffff));
194   uint64_t x50 = (x48 + x36);
195   out1[0] = x46;
196   out1[1] = x49;
197   out1[2] = x50;
198   out1[3] = x39;
199   out1[4] = x42;
200 }
201 
202 /*
203  * Input Bounds:
204  *   arg1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]]
205  * Output Bounds:
206  *   out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]]
207  */
fiat_25519_carry_scmul_121666(uint64_t out1[5],const uint64_t arg1[5])208 static void fiat_25519_carry_scmul_121666(uint64_t out1[5], const uint64_t arg1[5]) {
209   fiat_25519_uint128 x1 = (UINT32_C(0x1db42) * (fiat_25519_uint128)(arg1[4]));
210   fiat_25519_uint128 x2 = (UINT32_C(0x1db42) * (fiat_25519_uint128)(arg1[3]));
211   fiat_25519_uint128 x3 = (UINT32_C(0x1db42) * (fiat_25519_uint128)(arg1[2]));
212   fiat_25519_uint128 x4 = (UINT32_C(0x1db42) * (fiat_25519_uint128)(arg1[1]));
213   fiat_25519_uint128 x5 = (UINT32_C(0x1db42) * (fiat_25519_uint128)(arg1[0]));
214   uint64_t x6 = (uint64_t)(x5 >> 51);
215   uint64_t x7 = (uint64_t)(x5 & UINT64_C(0x7ffffffffffff));
216   fiat_25519_uint128 x8 = (x6 + x4);
217   uint64_t x9 = (uint64_t)(x8 >> 51);
218   uint64_t x10 = (uint64_t)(x8 & UINT64_C(0x7ffffffffffff));
219   fiat_25519_uint128 x11 = (x9 + x3);
220   uint64_t x12 = (uint64_t)(x11 >> 51);
221   uint64_t x13 = (uint64_t)(x11 & UINT64_C(0x7ffffffffffff));
222   fiat_25519_uint128 x14 = (x12 + x2);
223   uint64_t x15 = (uint64_t)(x14 >> 51);
224   uint64_t x16 = (uint64_t)(x14 & UINT64_C(0x7ffffffffffff));
225   fiat_25519_uint128 x17 = (x15 + x1);
226   uint64_t x18 = (uint64_t)(x17 >> 51);
227   uint64_t x19 = (uint64_t)(x17 & UINT64_C(0x7ffffffffffff));
228   uint64_t x20 = (x18 * (uint64_t)UINT8_C(0x13));
229   uint64_t x21 = (x7 + x20);
230   uint64_t x22 = (x21 >> 51);
231   uint64_t x23 = (x21 & UINT64_C(0x7ffffffffffff));
232   uint64_t x24 = (x22 + x10);
233   uint64_t x25 = (x24 >> 51);
234   uint64_t x26 = (x24 & UINT64_C(0x7ffffffffffff));
235   uint64_t x27 = (x25 + x13);
236   out1[0] = x23;
237   out1[1] = x26;
238   out1[2] = x27;
239   out1[3] = x16;
240   out1[4] = x19;
241 }
242 
243 /*
244  * Input Bounds:
245  *   arg1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]]
246  * Output Bounds:
247  *   out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]]
248  */
fiat_25519_carry(uint64_t out1[5],const uint64_t arg1[5])249 static void fiat_25519_carry(uint64_t out1[5], const uint64_t arg1[5]) {
250   uint64_t x1 = (arg1[0]);
251   uint64_t x2 = ((x1 >> 51) + (arg1[1]));
252   uint64_t x3 = ((x2 >> 51) + (arg1[2]));
253   uint64_t x4 = ((x3 >> 51) + (arg1[3]));
254   uint64_t x5 = ((x4 >> 51) + (arg1[4]));
255   uint64_t x6 = ((x1 & UINT64_C(0x7ffffffffffff)) + ((x5 >> 51) * (uint64_t)UINT8_C(0x13)));
256   uint64_t x7 = ((x6 >> 51) + (x2 & UINT64_C(0x7ffffffffffff)));
257   uint64_t x8 = (x6 & UINT64_C(0x7ffffffffffff));
258   uint64_t x9 = (x7 & UINT64_C(0x7ffffffffffff));
259   uint64_t x10 = ((x7 >> 51) + (x3 & UINT64_C(0x7ffffffffffff)));
260   uint64_t x11 = (x4 & UINT64_C(0x7ffffffffffff));
261   uint64_t x12 = (x5 & UINT64_C(0x7ffffffffffff));
262   out1[0] = x8;
263   out1[1] = x9;
264   out1[2] = x10;
265   out1[3] = x11;
266   out1[4] = x12;
267 }
268 
269 /*
270  * Input Bounds:
271  *   arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]]
272  *   arg2: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]]
273  * Output Bounds:
274  *   out1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]]
275  */
fiat_25519_add(uint64_t out1[5],const uint64_t arg1[5],const uint64_t arg2[5])276 static void fiat_25519_add(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) {
277   uint64_t x1 = ((arg1[0]) + (arg2[0]));
278   uint64_t x2 = ((arg1[1]) + (arg2[1]));
279   uint64_t x3 = ((arg1[2]) + (arg2[2]));
280   uint64_t x4 = ((arg1[3]) + (arg2[3]));
281   uint64_t x5 = ((arg1[4]) + (arg2[4]));
282   out1[0] = x1;
283   out1[1] = x2;
284   out1[2] = x3;
285   out1[3] = x4;
286   out1[4] = x5;
287 }
288 
289 /*
290  * Input Bounds:
291  *   arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]]
292  *   arg2: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]]
293  * Output Bounds:
294  *   out1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]]
295  */
fiat_25519_sub(uint64_t out1[5],const uint64_t arg1[5],const uint64_t arg2[5])296 static void fiat_25519_sub(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) {
297   uint64_t x1 = ((UINT64_C(0xfffffffffffda) + (arg1[0])) - (arg2[0]));
298   uint64_t x2 = ((UINT64_C(0xffffffffffffe) + (arg1[1])) - (arg2[1]));
299   uint64_t x3 = ((UINT64_C(0xffffffffffffe) + (arg1[2])) - (arg2[2]));
300   uint64_t x4 = ((UINT64_C(0xffffffffffffe) + (arg1[3])) - (arg2[3]));
301   uint64_t x5 = ((UINT64_C(0xffffffffffffe) + (arg1[4])) - (arg2[4]));
302   out1[0] = x1;
303   out1[1] = x2;
304   out1[2] = x3;
305   out1[3] = x4;
306   out1[4] = x5;
307 }
308 
309 /*
310  * Input Bounds:
311  *   arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]]
312  * Output Bounds:
313  *   out1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]]
314  */
fiat_25519_opp(uint64_t out1[5],const uint64_t arg1[5])315 static void fiat_25519_opp(uint64_t out1[5], const uint64_t arg1[5]) {
316   uint64_t x1 = (UINT64_C(0xfffffffffffda) - (arg1[0]));
317   uint64_t x2 = (UINT64_C(0xffffffffffffe) - (arg1[1]));
318   uint64_t x3 = (UINT64_C(0xffffffffffffe) - (arg1[2]));
319   uint64_t x4 = (UINT64_C(0xffffffffffffe) - (arg1[3]));
320   uint64_t x5 = (UINT64_C(0xffffffffffffe) - (arg1[4]));
321   out1[0] = x1;
322   out1[1] = x2;
323   out1[2] = x3;
324   out1[3] = x4;
325   out1[4] = x5;
326 }
327 
328 /*
329  * Input Bounds:
330  *   arg1: [0x0 ~> 0x1]
331  *   arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
332  *   arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
333  * Output Bounds:
334  *   out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
335  */
fiat_25519_selectznz(uint64_t out1[5],fiat_25519_uint1 arg1,const uint64_t arg2[5],const uint64_t arg3[5])336 static void fiat_25519_selectznz(uint64_t out1[5], fiat_25519_uint1 arg1, const uint64_t arg2[5], const uint64_t arg3[5]) {
337   uint64_t x1;
338   fiat_25519_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0]));
339   uint64_t x2;
340   fiat_25519_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1]));
341   uint64_t x3;
342   fiat_25519_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2]));
343   uint64_t x4;
344   fiat_25519_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3]));
345   uint64_t x5;
346   fiat_25519_cmovznz_u64(&x5, arg1, (arg2[4]), (arg3[4]));
347   out1[0] = x1;
348   out1[1] = x2;
349   out1[2] = x3;
350   out1[3] = x4;
351   out1[4] = x5;
352 }
353 
354 /*
355  * Input Bounds:
356  *   arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]]
357  * Output Bounds:
358  *   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]]
359  */
fiat_25519_to_bytes(uint8_t out1[32],const uint64_t arg1[5])360 static void fiat_25519_to_bytes(uint8_t out1[32], const uint64_t arg1[5]) {
361   uint64_t x1;
362   fiat_25519_uint1 x2;
363   fiat_25519_subborrowx_u51(&x1, &x2, 0x0, (arg1[0]), UINT64_C(0x7ffffffffffed));
364   uint64_t x3;
365   fiat_25519_uint1 x4;
366   fiat_25519_subborrowx_u51(&x3, &x4, x2, (arg1[1]), UINT64_C(0x7ffffffffffff));
367   uint64_t x5;
368   fiat_25519_uint1 x6;
369   fiat_25519_subborrowx_u51(&x5, &x6, x4, (arg1[2]), UINT64_C(0x7ffffffffffff));
370   uint64_t x7;
371   fiat_25519_uint1 x8;
372   fiat_25519_subborrowx_u51(&x7, &x8, x6, (arg1[3]), UINT64_C(0x7ffffffffffff));
373   uint64_t x9;
374   fiat_25519_uint1 x10;
375   fiat_25519_subborrowx_u51(&x9, &x10, x8, (arg1[4]), UINT64_C(0x7ffffffffffff));
376   uint64_t x11;
377   fiat_25519_cmovznz_u64(&x11, x10, 0x0, UINT64_C(0xffffffffffffffff));
378   uint64_t x12;
379   fiat_25519_uint1 x13;
380   fiat_25519_addcarryx_u51(&x12, &x13, 0x0, (x11 & UINT64_C(0x7ffffffffffed)), x1);
381   uint64_t x14;
382   fiat_25519_uint1 x15;
383   fiat_25519_addcarryx_u51(&x14, &x15, x13, (x11 & UINT64_C(0x7ffffffffffff)), x3);
384   uint64_t x16;
385   fiat_25519_uint1 x17;
386   fiat_25519_addcarryx_u51(&x16, &x17, x15, (x11 & UINT64_C(0x7ffffffffffff)), x5);
387   uint64_t x18;
388   fiat_25519_uint1 x19;
389   fiat_25519_addcarryx_u51(&x18, &x19, x17, (x11 & UINT64_C(0x7ffffffffffff)), x7);
390   uint64_t x20;
391   fiat_25519_uint1 x21;
392   fiat_25519_addcarryx_u51(&x20, &x21, x19, (x11 & UINT64_C(0x7ffffffffffff)), x9);
393   uint64_t x22 = (x20 << 4);
394   uint64_t x23 = (x18 * (uint64_t)0x2);
395   uint64_t x24 = (x16 << 6);
396   uint64_t x25 = (x14 << 3);
397   uint64_t x26 = (x12 >> 8);
398   uint8_t x27 = (uint8_t)(x12 & UINT8_C(0xff));
399   uint64_t x28 = (x26 >> 8);
400   uint8_t x29 = (uint8_t)(x26 & UINT8_C(0xff));
401   uint64_t x30 = (x28 >> 8);
402   uint8_t x31 = (uint8_t)(x28 & UINT8_C(0xff));
403   uint64_t x32 = (x30 >> 8);
404   uint8_t x33 = (uint8_t)(x30 & UINT8_C(0xff));
405   uint64_t x34 = (x32 >> 8);
406   uint8_t x35 = (uint8_t)(x32 & UINT8_C(0xff));
407   uint8_t x36 = (uint8_t)(x34 >> 8);
408   uint8_t x37 = (uint8_t)(x34 & UINT8_C(0xff));
409   uint64_t x38 = (x36 + x25);
410   uint64_t x39 = (x38 >> 8);
411   uint8_t x40 = (uint8_t)(x38 & UINT8_C(0xff));
412   uint64_t x41 = (x39 >> 8);
413   uint8_t x42 = (uint8_t)(x39 & UINT8_C(0xff));
414   uint64_t x43 = (x41 >> 8);
415   uint8_t x44 = (uint8_t)(x41 & UINT8_C(0xff));
416   uint64_t x45 = (x43 >> 8);
417   uint8_t x46 = (uint8_t)(x43 & UINT8_C(0xff));
418   uint64_t x47 = (x45 >> 8);
419   uint8_t x48 = (uint8_t)(x45 & UINT8_C(0xff));
420   uint8_t x49 = (uint8_t)(x47 >> 8);
421   uint8_t x50 = (uint8_t)(x47 & UINT8_C(0xff));
422   uint64_t x51 = (x49 + x24);
423   uint64_t x52 = (x51 >> 8);
424   uint8_t x53 = (uint8_t)(x51 & UINT8_C(0xff));
425   uint64_t x54 = (x52 >> 8);
426   uint8_t x55 = (uint8_t)(x52 & UINT8_C(0xff));
427   uint64_t x56 = (x54 >> 8);
428   uint8_t x57 = (uint8_t)(x54 & UINT8_C(0xff));
429   uint64_t x58 = (x56 >> 8);
430   uint8_t x59 = (uint8_t)(x56 & UINT8_C(0xff));
431   uint64_t x60 = (x58 >> 8);
432   uint8_t x61 = (uint8_t)(x58 & UINT8_C(0xff));
433   uint64_t x62 = (x60 >> 8);
434   uint8_t x63 = (uint8_t)(x60 & UINT8_C(0xff));
435   fiat_25519_uint1 x64 = (fiat_25519_uint1)(x62 >> 8);
436   uint8_t x65 = (uint8_t)(x62 & UINT8_C(0xff));
437   uint64_t x66 = (x64 + x23);
438   uint64_t x67 = (x66 >> 8);
439   uint8_t x68 = (uint8_t)(x66 & UINT8_C(0xff));
440   uint64_t x69 = (x67 >> 8);
441   uint8_t x70 = (uint8_t)(x67 & UINT8_C(0xff));
442   uint64_t x71 = (x69 >> 8);
443   uint8_t x72 = (uint8_t)(x69 & UINT8_C(0xff));
444   uint64_t x73 = (x71 >> 8);
445   uint8_t x74 = (uint8_t)(x71 & UINT8_C(0xff));
446   uint64_t x75 = (x73 >> 8);
447   uint8_t x76 = (uint8_t)(x73 & UINT8_C(0xff));
448   uint8_t x77 = (uint8_t)(x75 >> 8);
449   uint8_t x78 = (uint8_t)(x75 & UINT8_C(0xff));
450   uint64_t x79 = (x77 + x22);
451   uint64_t x80 = (x79 >> 8);
452   uint8_t x81 = (uint8_t)(x79 & UINT8_C(0xff));
453   uint64_t x82 = (x80 >> 8);
454   uint8_t x83 = (uint8_t)(x80 & UINT8_C(0xff));
455   uint64_t x84 = (x82 >> 8);
456   uint8_t x85 = (uint8_t)(x82 & UINT8_C(0xff));
457   uint64_t x86 = (x84 >> 8);
458   uint8_t x87 = (uint8_t)(x84 & UINT8_C(0xff));
459   uint64_t x88 = (x86 >> 8);
460   uint8_t x89 = (uint8_t)(x86 & UINT8_C(0xff));
461   uint8_t x90 = (uint8_t)(x88 >> 8);
462   uint8_t x91 = (uint8_t)(x88 & UINT8_C(0xff));
463   out1[0] = x27;
464   out1[1] = x29;
465   out1[2] = x31;
466   out1[3] = x33;
467   out1[4] = x35;
468   out1[5] = x37;
469   out1[6] = x40;
470   out1[7] = x42;
471   out1[8] = x44;
472   out1[9] = x46;
473   out1[10] = x48;
474   out1[11] = x50;
475   out1[12] = x53;
476   out1[13] = x55;
477   out1[14] = x57;
478   out1[15] = x59;
479   out1[16] = x61;
480   out1[17] = x63;
481   out1[18] = x65;
482   out1[19] = x68;
483   out1[20] = x70;
484   out1[21] = x72;
485   out1[22] = x74;
486   out1[23] = x76;
487   out1[24] = x78;
488   out1[25] = x81;
489   out1[26] = x83;
490   out1[27] = x85;
491   out1[28] = x87;
492   out1[29] = x89;
493   out1[30] = x91;
494   out1[31] = x90;
495 }
496 
497 /*
498  * Input Bounds:
499  *   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]]
500  * Output Bounds:
501  *   out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]]
502  */
fiat_25519_from_bytes(uint64_t out1[5],const uint8_t arg1[32])503 static void fiat_25519_from_bytes(uint64_t out1[5], const uint8_t arg1[32]) {
504   uint64_t x1 = ((uint64_t)(arg1[31]) << 44);
505   uint64_t x2 = ((uint64_t)(arg1[30]) << 36);
506   uint64_t x3 = ((uint64_t)(arg1[29]) << 28);
507   uint64_t x4 = ((uint64_t)(arg1[28]) << 20);
508   uint64_t x5 = ((uint64_t)(arg1[27]) << 12);
509   uint64_t x6 = ((uint64_t)(arg1[26]) << 4);
510   uint64_t x7 = ((uint64_t)(arg1[25]) << 47);
511   uint64_t x8 = ((uint64_t)(arg1[24]) << 39);
512   uint64_t x9 = ((uint64_t)(arg1[23]) << 31);
513   uint64_t x10 = ((uint64_t)(arg1[22]) << 23);
514   uint64_t x11 = ((uint64_t)(arg1[21]) << 15);
515   uint64_t x12 = ((uint64_t)(arg1[20]) << 7);
516   uint64_t x13 = ((uint64_t)(arg1[19]) << 50);
517   uint64_t x14 = ((uint64_t)(arg1[18]) << 42);
518   uint64_t x15 = ((uint64_t)(arg1[17]) << 34);
519   uint64_t x16 = ((uint64_t)(arg1[16]) << 26);
520   uint64_t x17 = ((uint64_t)(arg1[15]) << 18);
521   uint64_t x18 = ((uint64_t)(arg1[14]) << 10);
522   uint64_t x19 = ((uint64_t)(arg1[13]) << 2);
523   uint64_t x20 = ((uint64_t)(arg1[12]) << 45);
524   uint64_t x21 = ((uint64_t)(arg1[11]) << 37);
525   uint64_t x22 = ((uint64_t)(arg1[10]) << 29);
526   uint64_t x23 = ((uint64_t)(arg1[9]) << 21);
527   uint64_t x24 = ((uint64_t)(arg1[8]) << 13);
528   uint64_t x25 = ((uint64_t)(arg1[7]) << 5);
529   uint64_t x26 = ((uint64_t)(arg1[6]) << 48);
530   uint64_t x27 = ((uint64_t)(arg1[5]) << 40);
531   uint64_t x28 = ((uint64_t)(arg1[4]) << 32);
532   uint64_t x29 = ((uint64_t)(arg1[3]) << 24);
533   uint64_t x30 = ((uint64_t)(arg1[2]) << 16);
534   uint64_t x31 = ((uint64_t)(arg1[1]) << 8);
535   uint8_t x32 = (arg1[0]);
536   uint64_t x33 = (x32 + (x31 + (x30 + (x29 + (x28 + (x27 + x26))))));
537   uint8_t x34 = (uint8_t)(x33 >> 51);
538   uint64_t x35 = (x33 & UINT64_C(0x7ffffffffffff));
539   uint64_t x36 = (x6 + (x5 + (x4 + (x3 + (x2 + x1)))));
540   uint64_t x37 = (x12 + (x11 + (x10 + (x9 + (x8 + x7)))));
541   uint64_t x38 = (x19 + (x18 + (x17 + (x16 + (x15 + (x14 + x13))))));
542   uint64_t x39 = (x25 + (x24 + (x23 + (x22 + (x21 + x20)))));
543   uint64_t x40 = (x34 + x39);
544   uint8_t x41 = (uint8_t)(x40 >> 51);
545   uint64_t x42 = (x40 & UINT64_C(0x7ffffffffffff));
546   uint64_t x43 = (x41 + x38);
547   uint8_t x44 = (uint8_t)(x43 >> 51);
548   uint64_t x45 = (x43 & UINT64_C(0x7ffffffffffff));
549   uint64_t x46 = (x44 + x37);
550   uint8_t x47 = (uint8_t)(x46 >> 51);
551   uint64_t x48 = (x46 & UINT64_C(0x7ffffffffffff));
552   uint64_t x49 = (x47 + x36);
553   out1[0] = x35;
554   out1[1] = x42;
555   out1[2] = x45;
556   out1[3] = x48;
557   out1[4] = x49;
558 }
559 
560