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1 /* Copyright (c) INRIA and Microsoft Corporation. All rights reserved.
2    Licensed under the Apache 2.0 License. */
3 
4 /* This file was generated by KreMLin <https://github.com/FStarLang/kremlin>
5  * KreMLin invocation: /mnt/e/everest/verify/kremlin/krml -fc89 -fparentheses -fno-shadow -header /mnt/e/everest/verify/hdrcLh -minimal -fbuiltin-uint128 -fc89 -fparentheses -fno-shadow -header /mnt/e/everest/verify/hdrcLh -minimal -I /mnt/e/everest/verify/hacl-star/code/lib/kremlin -I /mnt/e/everest/verify/kremlin/kremlib/compat -I /mnt/e/everest/verify/hacl-star/specs -I /mnt/e/everest/verify/hacl-star/specs/old -I . -ccopt -march=native -verbose -ldopt -flto -tmpdir x25519-c -I ../bignum -bundle Hacl.Curve25519=* -minimal -add-include "kremlib.h" -skip-compilation x25519-c/out.krml -o x25519-c/Hacl_Curve25519.c
6  * F* version: 059db0c8
7  * KreMLin version: 916c37ac
8  */
9 
10 
11 #include "Hacl_Curve25519.h"
12 
13 extern uint64_t FStar_UInt64_eq_mask(uint64_t x0, uint64_t x1);
14 
15 extern uint64_t FStar_UInt64_gte_mask(uint64_t x0, uint64_t x1);
16 
17 extern uint128_t FStar_UInt128_add(uint128_t x0, uint128_t x1);
18 
19 extern uint128_t FStar_UInt128_add_mod(uint128_t x0, uint128_t x1);
20 
21 extern uint128_t FStar_UInt128_logand(uint128_t x0, uint128_t x1);
22 
23 extern uint128_t FStar_UInt128_shift_right(uint128_t x0, uint32_t x1);
24 
25 extern uint128_t FStar_UInt128_uint64_to_uint128(uint64_t x0);
26 
27 extern uint64_t FStar_UInt128_uint128_to_uint64(uint128_t x0);
28 
29 extern uint128_t FStar_UInt128_mul_wide(uint64_t x0, uint64_t x1);
30 
Hacl_Bignum_Modulo_carry_top(uint64_t * b)31 static void Hacl_Bignum_Modulo_carry_top(uint64_t *b)
32 {
33   uint64_t b4 = b[4U];
34   uint64_t b0 = b[0U];
35   uint64_t b4_ = b4 & (uint64_t)0x7ffffffffffffU;
36   uint64_t b0_ = b0 + (uint64_t)19U * (b4 >> (uint32_t)51U);
37   b[4U] = b4_;
38   b[0U] = b0_;
39 }
40 
Hacl_Bignum_Fproduct_copy_from_wide_(uint64_t * output,uint128_t * input)41 inline static void Hacl_Bignum_Fproduct_copy_from_wide_(uint64_t *output, uint128_t *input)
42 {
43   uint32_t i;
44   for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U)
45   {
46     uint128_t xi = input[i];
47     output[i] = (uint64_t)xi;
48   }
49 }
50 
51 inline static void
Hacl_Bignum_Fproduct_sum_scalar_multiplication_(uint128_t * output,uint64_t * input,uint64_t s)52 Hacl_Bignum_Fproduct_sum_scalar_multiplication_(uint128_t *output, uint64_t *input, uint64_t s)
53 {
54   uint32_t i;
55   for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U)
56   {
57     uint128_t xi = output[i];
58     uint64_t yi = input[i];
59     output[i] = xi + (uint128_t)yi * s;
60   }
61 }
62 
Hacl_Bignum_Fproduct_carry_wide_(uint128_t * tmp)63 inline static void Hacl_Bignum_Fproduct_carry_wide_(uint128_t *tmp)
64 {
65   uint32_t i;
66   for (i = (uint32_t)0U; i < (uint32_t)4U; i = i + (uint32_t)1U)
67   {
68     uint32_t ctr = i;
69     uint128_t tctr = tmp[ctr];
70     uint128_t tctrp1 = tmp[ctr + (uint32_t)1U];
71     uint64_t r0 = (uint64_t)tctr & (uint64_t)0x7ffffffffffffU;
72     uint128_t c = tctr >> (uint32_t)51U;
73     tmp[ctr] = (uint128_t)r0;
74     tmp[ctr + (uint32_t)1U] = tctrp1 + c;
75   }
76 }
77 
Hacl_Bignum_Fmul_shift_reduce(uint64_t * output)78 inline static void Hacl_Bignum_Fmul_shift_reduce(uint64_t *output)
79 {
80   uint64_t tmp = output[4U];
81   uint64_t b0;
82   {
83     uint32_t i;
84     for (i = (uint32_t)0U; i < (uint32_t)4U; i = i + (uint32_t)1U)
85     {
86       uint32_t ctr = (uint32_t)5U - i - (uint32_t)1U;
87       uint64_t z = output[ctr - (uint32_t)1U];
88       output[ctr] = z;
89     }
90   }
91   output[0U] = tmp;
92   b0 = output[0U];
93   output[0U] = (uint64_t)19U * b0;
94 }
95 
96 static void
Hacl_Bignum_Fmul_mul_shift_reduce_(uint128_t * output,uint64_t * input,uint64_t * input2)97 Hacl_Bignum_Fmul_mul_shift_reduce_(uint128_t *output, uint64_t *input, uint64_t *input2)
98 {
99   uint32_t i;
100   uint64_t input2i;
101   {
102     uint32_t i0;
103     for (i0 = (uint32_t)0U; i0 < (uint32_t)4U; i0 = i0 + (uint32_t)1U)
104     {
105       uint64_t input2i0 = input2[i0];
106       Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i0);
107       Hacl_Bignum_Fmul_shift_reduce(input);
108     }
109   }
110   i = (uint32_t)4U;
111   input2i = input2[i];
112   Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i);
113 }
114 
Hacl_Bignum_Fmul_fmul(uint64_t * output,uint64_t * input,uint64_t * input2)115 inline static void Hacl_Bignum_Fmul_fmul(uint64_t *output, uint64_t *input, uint64_t *input2)
116 {
117   uint64_t tmp[5U] = { 0U };
118   memcpy(tmp, input, (uint32_t)5U * sizeof input[0U]);
119   KRML_CHECK_SIZE(sizeof (uint128_t), (uint32_t)5U);
120   {
121     uint128_t t[5U];
122     {
123       uint32_t _i;
124       for (_i = 0U; _i < (uint32_t)5U; ++_i)
125         t[_i] = (uint128_t)(uint64_t)0U;
126     }
127     {
128       uint128_t b4;
129       uint128_t b0;
130       uint128_t b4_;
131       uint128_t b0_;
132       uint64_t i0;
133       uint64_t i1;
134       uint64_t i0_;
135       uint64_t i1_;
136       Hacl_Bignum_Fmul_mul_shift_reduce_(t, tmp, input2);
137       Hacl_Bignum_Fproduct_carry_wide_(t);
138       b4 = t[4U];
139       b0 = t[0U];
140       b4_ = b4 & (uint128_t)(uint64_t)0x7ffffffffffffU;
141       b0_ = b0 + (uint128_t)(uint64_t)19U * (uint64_t)(b4 >> (uint32_t)51U);
142       t[4U] = b4_;
143       t[0U] = b0_;
144       Hacl_Bignum_Fproduct_copy_from_wide_(output, t);
145       i0 = output[0U];
146       i1 = output[1U];
147       i0_ = i0 & (uint64_t)0x7ffffffffffffU;
148       i1_ = i1 + (i0 >> (uint32_t)51U);
149       output[0U] = i0_;
150       output[1U] = i1_;
151     }
152   }
153 }
154 
Hacl_Bignum_Fsquare_fsquare__(uint128_t * tmp,uint64_t * output)155 inline static void Hacl_Bignum_Fsquare_fsquare__(uint128_t *tmp, uint64_t *output)
156 {
157   uint64_t r0 = output[0U];
158   uint64_t r1 = output[1U];
159   uint64_t r2 = output[2U];
160   uint64_t r3 = output[3U];
161   uint64_t r4 = output[4U];
162   uint64_t d0 = r0 * (uint64_t)2U;
163   uint64_t d1 = r1 * (uint64_t)2U;
164   uint64_t d2 = r2 * (uint64_t)2U * (uint64_t)19U;
165   uint64_t d419 = r4 * (uint64_t)19U;
166   uint64_t d4 = d419 * (uint64_t)2U;
167   uint128_t s0 = (uint128_t)r0 * r0 + (uint128_t)d4 * r1 + (uint128_t)d2 * r3;
168   uint128_t s1 = (uint128_t)d0 * r1 + (uint128_t)d4 * r2 + (uint128_t)(r3 * (uint64_t)19U) * r3;
169   uint128_t s2 = (uint128_t)d0 * r2 + (uint128_t)r1 * r1 + (uint128_t)d4 * r3;
170   uint128_t s3 = (uint128_t)d0 * r3 + (uint128_t)d1 * r2 + (uint128_t)r4 * d419;
171   uint128_t s4 = (uint128_t)d0 * r4 + (uint128_t)d1 * r3 + (uint128_t)r2 * r2;
172   tmp[0U] = s0;
173   tmp[1U] = s1;
174   tmp[2U] = s2;
175   tmp[3U] = s3;
176   tmp[4U] = s4;
177 }
178 
Hacl_Bignum_Fsquare_fsquare_(uint128_t * tmp,uint64_t * output)179 inline static void Hacl_Bignum_Fsquare_fsquare_(uint128_t *tmp, uint64_t *output)
180 {
181   uint128_t b4;
182   uint128_t b0;
183   uint128_t b4_;
184   uint128_t b0_;
185   uint64_t i0;
186   uint64_t i1;
187   uint64_t i0_;
188   uint64_t i1_;
189   Hacl_Bignum_Fsquare_fsquare__(tmp, output);
190   Hacl_Bignum_Fproduct_carry_wide_(tmp);
191   b4 = tmp[4U];
192   b0 = tmp[0U];
193   b4_ = b4 & (uint128_t)(uint64_t)0x7ffffffffffffU;
194   b0_ = b0 + (uint128_t)(uint64_t)19U * (uint64_t)(b4 >> (uint32_t)51U);
195   tmp[4U] = b4_;
196   tmp[0U] = b0_;
197   Hacl_Bignum_Fproduct_copy_from_wide_(output, tmp);
198   i0 = output[0U];
199   i1 = output[1U];
200   i0_ = i0 & (uint64_t)0x7ffffffffffffU;
201   i1_ = i1 + (i0 >> (uint32_t)51U);
202   output[0U] = i0_;
203   output[1U] = i1_;
204 }
205 
206 static void
Hacl_Bignum_Fsquare_fsquare_times_(uint64_t * input,uint128_t * tmp,uint32_t count1)207 Hacl_Bignum_Fsquare_fsquare_times_(uint64_t *input, uint128_t *tmp, uint32_t count1)
208 {
209   uint32_t i;
210   Hacl_Bignum_Fsquare_fsquare_(tmp, input);
211   for (i = (uint32_t)1U; i < count1; i = i + (uint32_t)1U)
212     Hacl_Bignum_Fsquare_fsquare_(tmp, input);
213 }
214 
215 inline static void
Hacl_Bignum_Fsquare_fsquare_times(uint64_t * output,uint64_t * input,uint32_t count1)216 Hacl_Bignum_Fsquare_fsquare_times(uint64_t *output, uint64_t *input, uint32_t count1)
217 {
218   KRML_CHECK_SIZE(sizeof (uint128_t), (uint32_t)5U);
219   {
220     uint128_t t[5U];
221     {
222       uint32_t _i;
223       for (_i = 0U; _i < (uint32_t)5U; ++_i)
224         t[_i] = (uint128_t)(uint64_t)0U;
225     }
226     memcpy(output, input, (uint32_t)5U * sizeof input[0U]);
227     Hacl_Bignum_Fsquare_fsquare_times_(output, t, count1);
228   }
229 }
230 
Hacl_Bignum_Fsquare_fsquare_times_inplace(uint64_t * output,uint32_t count1)231 inline static void Hacl_Bignum_Fsquare_fsquare_times_inplace(uint64_t *output, uint32_t count1)
232 {
233   KRML_CHECK_SIZE(sizeof (uint128_t), (uint32_t)5U);
234   {
235     uint128_t t[5U];
236     {
237       uint32_t _i;
238       for (_i = 0U; _i < (uint32_t)5U; ++_i)
239         t[_i] = (uint128_t)(uint64_t)0U;
240     }
241     Hacl_Bignum_Fsquare_fsquare_times_(output, t, count1);
242   }
243 }
244 
Hacl_Bignum_Crecip_crecip(uint64_t * out,uint64_t * z)245 inline static void Hacl_Bignum_Crecip_crecip(uint64_t *out, uint64_t *z)
246 {
247   uint64_t buf[20U] = { 0U };
248   uint64_t *a0 = buf;
249   uint64_t *t00 = buf + (uint32_t)5U;
250   uint64_t *b0 = buf + (uint32_t)10U;
251   uint64_t *t01;
252   uint64_t *b1;
253   uint64_t *c0;
254   uint64_t *a;
255   uint64_t *t0;
256   uint64_t *b;
257   uint64_t *c;
258   Hacl_Bignum_Fsquare_fsquare_times(a0, z, (uint32_t)1U);
259   Hacl_Bignum_Fsquare_fsquare_times(t00, a0, (uint32_t)2U);
260   Hacl_Bignum_Fmul_fmul(b0, t00, z);
261   Hacl_Bignum_Fmul_fmul(a0, b0, a0);
262   Hacl_Bignum_Fsquare_fsquare_times(t00, a0, (uint32_t)1U);
263   Hacl_Bignum_Fmul_fmul(b0, t00, b0);
264   Hacl_Bignum_Fsquare_fsquare_times(t00, b0, (uint32_t)5U);
265   t01 = buf + (uint32_t)5U;
266   b1 = buf + (uint32_t)10U;
267   c0 = buf + (uint32_t)15U;
268   Hacl_Bignum_Fmul_fmul(b1, t01, b1);
269   Hacl_Bignum_Fsquare_fsquare_times(t01, b1, (uint32_t)10U);
270   Hacl_Bignum_Fmul_fmul(c0, t01, b1);
271   Hacl_Bignum_Fsquare_fsquare_times(t01, c0, (uint32_t)20U);
272   Hacl_Bignum_Fmul_fmul(t01, t01, c0);
273   Hacl_Bignum_Fsquare_fsquare_times_inplace(t01, (uint32_t)10U);
274   Hacl_Bignum_Fmul_fmul(b1, t01, b1);
275   Hacl_Bignum_Fsquare_fsquare_times(t01, b1, (uint32_t)50U);
276   a = buf;
277   t0 = buf + (uint32_t)5U;
278   b = buf + (uint32_t)10U;
279   c = buf + (uint32_t)15U;
280   Hacl_Bignum_Fmul_fmul(c, t0, b);
281   Hacl_Bignum_Fsquare_fsquare_times(t0, c, (uint32_t)100U);
282   Hacl_Bignum_Fmul_fmul(t0, t0, c);
283   Hacl_Bignum_Fsquare_fsquare_times_inplace(t0, (uint32_t)50U);
284   Hacl_Bignum_Fmul_fmul(t0, t0, b);
285   Hacl_Bignum_Fsquare_fsquare_times_inplace(t0, (uint32_t)5U);
286   Hacl_Bignum_Fmul_fmul(out, t0, a);
287 }
288 
Hacl_Bignum_fsum(uint64_t * a,uint64_t * b)289 inline static void Hacl_Bignum_fsum(uint64_t *a, uint64_t *b)
290 {
291   uint32_t i;
292   for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U)
293   {
294     uint64_t xi = a[i];
295     uint64_t yi = b[i];
296     a[i] = xi + yi;
297   }
298 }
299 
Hacl_Bignum_fdifference(uint64_t * a,uint64_t * b)300 inline static void Hacl_Bignum_fdifference(uint64_t *a, uint64_t *b)
301 {
302   uint64_t tmp[5U] = { 0U };
303   uint64_t b0;
304   uint64_t b1;
305   uint64_t b2;
306   uint64_t b3;
307   uint64_t b4;
308   memcpy(tmp, b, (uint32_t)5U * sizeof b[0U]);
309   b0 = tmp[0U];
310   b1 = tmp[1U];
311   b2 = tmp[2U];
312   b3 = tmp[3U];
313   b4 = tmp[4U];
314   tmp[0U] = b0 + (uint64_t)0x3fffffffffff68U;
315   tmp[1U] = b1 + (uint64_t)0x3ffffffffffff8U;
316   tmp[2U] = b2 + (uint64_t)0x3ffffffffffff8U;
317   tmp[3U] = b3 + (uint64_t)0x3ffffffffffff8U;
318   tmp[4U] = b4 + (uint64_t)0x3ffffffffffff8U;
319   {
320     uint32_t i;
321     for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U)
322     {
323       uint64_t xi = a[i];
324       uint64_t yi = tmp[i];
325       a[i] = yi - xi;
326     }
327   }
328 }
329 
Hacl_Bignum_fscalar(uint64_t * output,uint64_t * b,uint64_t s)330 inline static void Hacl_Bignum_fscalar(uint64_t *output, uint64_t *b, uint64_t s)
331 {
332   KRML_CHECK_SIZE(sizeof (uint128_t), (uint32_t)5U);
333   {
334     uint128_t tmp[5U];
335     {
336       uint32_t _i;
337       for (_i = 0U; _i < (uint32_t)5U; ++_i)
338         tmp[_i] = (uint128_t)(uint64_t)0U;
339     }
340     {
341       uint128_t b4;
342       uint128_t b0;
343       uint128_t b4_;
344       uint128_t b0_;
345       {
346         uint32_t i;
347         for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U)
348         {
349           uint64_t xi = b[i];
350           tmp[i] = (uint128_t)xi * s;
351         }
352       }
353       Hacl_Bignum_Fproduct_carry_wide_(tmp);
354       b4 = tmp[4U];
355       b0 = tmp[0U];
356       b4_ = b4 & (uint128_t)(uint64_t)0x7ffffffffffffU;
357       b0_ = b0 + (uint128_t)(uint64_t)19U * (uint64_t)(b4 >> (uint32_t)51U);
358       tmp[4U] = b4_;
359       tmp[0U] = b0_;
360       Hacl_Bignum_Fproduct_copy_from_wide_(output, tmp);
361     }
362   }
363 }
364 
Hacl_Bignum_fmul(uint64_t * output,uint64_t * a,uint64_t * b)365 inline static void Hacl_Bignum_fmul(uint64_t *output, uint64_t *a, uint64_t *b)
366 {
367   Hacl_Bignum_Fmul_fmul(output, a, b);
368 }
369 
Hacl_Bignum_crecip(uint64_t * output,uint64_t * input)370 inline static void Hacl_Bignum_crecip(uint64_t *output, uint64_t *input)
371 {
372   Hacl_Bignum_Crecip_crecip(output, input);
373 }
374 
375 static void
Hacl_EC_Point_swap_conditional_step(uint64_t * a,uint64_t * b,uint64_t swap1,uint32_t ctr)376 Hacl_EC_Point_swap_conditional_step(uint64_t *a, uint64_t *b, uint64_t swap1, uint32_t ctr)
377 {
378   uint32_t i = ctr - (uint32_t)1U;
379   uint64_t ai = a[i];
380   uint64_t bi = b[i];
381   uint64_t x = swap1 & (ai ^ bi);
382   uint64_t ai1 = ai ^ x;
383   uint64_t bi1 = bi ^ x;
384   a[i] = ai1;
385   b[i] = bi1;
386 }
387 
388 static void
Hacl_EC_Point_swap_conditional_(uint64_t * a,uint64_t * b,uint64_t swap1,uint32_t ctr)389 Hacl_EC_Point_swap_conditional_(uint64_t *a, uint64_t *b, uint64_t swap1, uint32_t ctr)
390 {
391   if (!(ctr == (uint32_t)0U))
392   {
393     uint32_t i;
394     Hacl_EC_Point_swap_conditional_step(a, b, swap1, ctr);
395     i = ctr - (uint32_t)1U;
396     Hacl_EC_Point_swap_conditional_(a, b, swap1, i);
397   }
398 }
399 
Hacl_EC_Point_swap_conditional(uint64_t * a,uint64_t * b,uint64_t iswap)400 static void Hacl_EC_Point_swap_conditional(uint64_t *a, uint64_t *b, uint64_t iswap)
401 {
402   uint64_t swap1 = (uint64_t)0U - iswap;
403   Hacl_EC_Point_swap_conditional_(a, b, swap1, (uint32_t)5U);
404   Hacl_EC_Point_swap_conditional_(a + (uint32_t)5U, b + (uint32_t)5U, swap1, (uint32_t)5U);
405 }
406 
Hacl_EC_Point_copy(uint64_t * output,uint64_t * input)407 static void Hacl_EC_Point_copy(uint64_t *output, uint64_t *input)
408 {
409   memcpy(output, input, (uint32_t)5U * sizeof input[0U]);
410   memcpy(output + (uint32_t)5U,
411     input + (uint32_t)5U,
412     (uint32_t)5U * sizeof (input + (uint32_t)5U)[0U]);
413 }
414 
Hacl_EC_Format_fexpand(uint64_t * output,uint8_t * input)415 static void Hacl_EC_Format_fexpand(uint64_t *output, uint8_t *input)
416 {
417   uint64_t i0 = load64_le(input);
418   uint8_t *x00 = input + (uint32_t)6U;
419   uint64_t i1 = load64_le(x00);
420   uint8_t *x01 = input + (uint32_t)12U;
421   uint64_t i2 = load64_le(x01);
422   uint8_t *x02 = input + (uint32_t)19U;
423   uint64_t i3 = load64_le(x02);
424   uint8_t *x0 = input + (uint32_t)24U;
425   uint64_t i4 = load64_le(x0);
426   uint64_t output0 = i0 & (uint64_t)0x7ffffffffffffU;
427   uint64_t output1 = i1 >> (uint32_t)3U & (uint64_t)0x7ffffffffffffU;
428   uint64_t output2 = i2 >> (uint32_t)6U & (uint64_t)0x7ffffffffffffU;
429   uint64_t output3 = i3 >> (uint32_t)1U & (uint64_t)0x7ffffffffffffU;
430   uint64_t output4 = i4 >> (uint32_t)12U & (uint64_t)0x7ffffffffffffU;
431   output[0U] = output0;
432   output[1U] = output1;
433   output[2U] = output2;
434   output[3U] = output3;
435   output[4U] = output4;
436 }
437 
Hacl_EC_Format_fcontract_first_carry_pass(uint64_t * input)438 static void Hacl_EC_Format_fcontract_first_carry_pass(uint64_t *input)
439 {
440   uint64_t t0 = input[0U];
441   uint64_t t1 = input[1U];
442   uint64_t t2 = input[2U];
443   uint64_t t3 = input[3U];
444   uint64_t t4 = input[4U];
445   uint64_t t1_ = t1 + (t0 >> (uint32_t)51U);
446   uint64_t t0_ = t0 & (uint64_t)0x7ffffffffffffU;
447   uint64_t t2_ = t2 + (t1_ >> (uint32_t)51U);
448   uint64_t t1__ = t1_ & (uint64_t)0x7ffffffffffffU;
449   uint64_t t3_ = t3 + (t2_ >> (uint32_t)51U);
450   uint64_t t2__ = t2_ & (uint64_t)0x7ffffffffffffU;
451   uint64_t t4_ = t4 + (t3_ >> (uint32_t)51U);
452   uint64_t t3__ = t3_ & (uint64_t)0x7ffffffffffffU;
453   input[0U] = t0_;
454   input[1U] = t1__;
455   input[2U] = t2__;
456   input[3U] = t3__;
457   input[4U] = t4_;
458 }
459 
Hacl_EC_Format_fcontract_first_carry_full(uint64_t * input)460 static void Hacl_EC_Format_fcontract_first_carry_full(uint64_t *input)
461 {
462   Hacl_EC_Format_fcontract_first_carry_pass(input);
463   Hacl_Bignum_Modulo_carry_top(input);
464 }
465 
Hacl_EC_Format_fcontract_second_carry_pass(uint64_t * input)466 static void Hacl_EC_Format_fcontract_second_carry_pass(uint64_t *input)
467 {
468   uint64_t t0 = input[0U];
469   uint64_t t1 = input[1U];
470   uint64_t t2 = input[2U];
471   uint64_t t3 = input[3U];
472   uint64_t t4 = input[4U];
473   uint64_t t1_ = t1 + (t0 >> (uint32_t)51U);
474   uint64_t t0_ = t0 & (uint64_t)0x7ffffffffffffU;
475   uint64_t t2_ = t2 + (t1_ >> (uint32_t)51U);
476   uint64_t t1__ = t1_ & (uint64_t)0x7ffffffffffffU;
477   uint64_t t3_ = t3 + (t2_ >> (uint32_t)51U);
478   uint64_t t2__ = t2_ & (uint64_t)0x7ffffffffffffU;
479   uint64_t t4_ = t4 + (t3_ >> (uint32_t)51U);
480   uint64_t t3__ = t3_ & (uint64_t)0x7ffffffffffffU;
481   input[0U] = t0_;
482   input[1U] = t1__;
483   input[2U] = t2__;
484   input[3U] = t3__;
485   input[4U] = t4_;
486 }
487 
Hacl_EC_Format_fcontract_second_carry_full(uint64_t * input)488 static void Hacl_EC_Format_fcontract_second_carry_full(uint64_t *input)
489 {
490   uint64_t i0;
491   uint64_t i1;
492   uint64_t i0_;
493   uint64_t i1_;
494   Hacl_EC_Format_fcontract_second_carry_pass(input);
495   Hacl_Bignum_Modulo_carry_top(input);
496   i0 = input[0U];
497   i1 = input[1U];
498   i0_ = i0 & (uint64_t)0x7ffffffffffffU;
499   i1_ = i1 + (i0 >> (uint32_t)51U);
500   input[0U] = i0_;
501   input[1U] = i1_;
502 }
503 
Hacl_EC_Format_fcontract_trim(uint64_t * input)504 static void Hacl_EC_Format_fcontract_trim(uint64_t *input)
505 {
506   uint64_t a0 = input[0U];
507   uint64_t a1 = input[1U];
508   uint64_t a2 = input[2U];
509   uint64_t a3 = input[3U];
510   uint64_t a4 = input[4U];
511   uint64_t mask0 = FStar_UInt64_gte_mask(a0, (uint64_t)0x7ffffffffffedU);
512   uint64_t mask1 = FStar_UInt64_eq_mask(a1, (uint64_t)0x7ffffffffffffU);
513   uint64_t mask2 = FStar_UInt64_eq_mask(a2, (uint64_t)0x7ffffffffffffU);
514   uint64_t mask3 = FStar_UInt64_eq_mask(a3, (uint64_t)0x7ffffffffffffU);
515   uint64_t mask4 = FStar_UInt64_eq_mask(a4, (uint64_t)0x7ffffffffffffU);
516   uint64_t mask = (((mask0 & mask1) & mask2) & mask3) & mask4;
517   uint64_t a0_ = a0 - ((uint64_t)0x7ffffffffffedU & mask);
518   uint64_t a1_ = a1 - ((uint64_t)0x7ffffffffffffU & mask);
519   uint64_t a2_ = a2 - ((uint64_t)0x7ffffffffffffU & mask);
520   uint64_t a3_ = a3 - ((uint64_t)0x7ffffffffffffU & mask);
521   uint64_t a4_ = a4 - ((uint64_t)0x7ffffffffffffU & mask);
522   input[0U] = a0_;
523   input[1U] = a1_;
524   input[2U] = a2_;
525   input[3U] = a3_;
526   input[4U] = a4_;
527 }
528 
Hacl_EC_Format_fcontract_store(uint8_t * output,uint64_t * input)529 static void Hacl_EC_Format_fcontract_store(uint8_t *output, uint64_t *input)
530 {
531   uint64_t t0 = input[0U];
532   uint64_t t1 = input[1U];
533   uint64_t t2 = input[2U];
534   uint64_t t3 = input[3U];
535   uint64_t t4 = input[4U];
536   uint64_t o0 = t1 << (uint32_t)51U | t0;
537   uint64_t o1 = t2 << (uint32_t)38U | t1 >> (uint32_t)13U;
538   uint64_t o2 = t3 << (uint32_t)25U | t2 >> (uint32_t)26U;
539   uint64_t o3 = t4 << (uint32_t)12U | t3 >> (uint32_t)39U;
540   uint8_t *b0 = output;
541   uint8_t *b1 = output + (uint32_t)8U;
542   uint8_t *b2 = output + (uint32_t)16U;
543   uint8_t *b3 = output + (uint32_t)24U;
544   store64_le(b0, o0);
545   store64_le(b1, o1);
546   store64_le(b2, o2);
547   store64_le(b3, o3);
548 }
549 
Hacl_EC_Format_fcontract(uint8_t * output,uint64_t * input)550 static void Hacl_EC_Format_fcontract(uint8_t *output, uint64_t *input)
551 {
552   Hacl_EC_Format_fcontract_first_carry_full(input);
553   Hacl_EC_Format_fcontract_second_carry_full(input);
554   Hacl_EC_Format_fcontract_trim(input);
555   Hacl_EC_Format_fcontract_store(output, input);
556 }
557 
Hacl_EC_Format_scalar_of_point(uint8_t * scalar,uint64_t * point)558 static void Hacl_EC_Format_scalar_of_point(uint8_t *scalar, uint64_t *point)
559 {
560   uint64_t *x = point;
561   uint64_t *z = point + (uint32_t)5U;
562   uint64_t buf[10U] = { 0U };
563   uint64_t *zmone = buf;
564   uint64_t *sc = buf + (uint32_t)5U;
565   Hacl_Bignum_crecip(zmone, z);
566   Hacl_Bignum_fmul(sc, x, zmone);
567   Hacl_EC_Format_fcontract(scalar, sc);
568 }
569 
570 static void
Hacl_EC_AddAndDouble_fmonty(uint64_t * pp,uint64_t * ppq,uint64_t * p,uint64_t * pq,uint64_t * qmqp)571 Hacl_EC_AddAndDouble_fmonty(
572   uint64_t *pp,
573   uint64_t *ppq,
574   uint64_t *p,
575   uint64_t *pq,
576   uint64_t *qmqp
577 )
578 {
579   uint64_t *qx = qmqp;
580   uint64_t *x2 = pp;
581   uint64_t *z2 = pp + (uint32_t)5U;
582   uint64_t *x3 = ppq;
583   uint64_t *z3 = ppq + (uint32_t)5U;
584   uint64_t *x = p;
585   uint64_t *z = p + (uint32_t)5U;
586   uint64_t *xprime = pq;
587   uint64_t *zprime = pq + (uint32_t)5U;
588   uint64_t buf[40U] = { 0U };
589   uint64_t *origx = buf;
590   uint64_t *origxprime0 = buf + (uint32_t)5U;
591   uint64_t *xxprime0 = buf + (uint32_t)25U;
592   uint64_t *zzprime0 = buf + (uint32_t)30U;
593   uint64_t *origxprime;
594   uint64_t *xx0;
595   uint64_t *zz0;
596   uint64_t *xxprime;
597   uint64_t *zzprime;
598   uint64_t *zzzprime;
599   uint64_t *zzz;
600   uint64_t *xx;
601   uint64_t *zz;
602   uint64_t scalar;
603   memcpy(origx, x, (uint32_t)5U * sizeof x[0U]);
604   Hacl_Bignum_fsum(x, z);
605   Hacl_Bignum_fdifference(z, origx);
606   memcpy(origxprime0, xprime, (uint32_t)5U * sizeof xprime[0U]);
607   Hacl_Bignum_fsum(xprime, zprime);
608   Hacl_Bignum_fdifference(zprime, origxprime0);
609   Hacl_Bignum_fmul(xxprime0, xprime, z);
610   Hacl_Bignum_fmul(zzprime0, x, zprime);
611   origxprime = buf + (uint32_t)5U;
612   xx0 = buf + (uint32_t)15U;
613   zz0 = buf + (uint32_t)20U;
614   xxprime = buf + (uint32_t)25U;
615   zzprime = buf + (uint32_t)30U;
616   zzzprime = buf + (uint32_t)35U;
617   memcpy(origxprime, xxprime, (uint32_t)5U * sizeof xxprime[0U]);
618   Hacl_Bignum_fsum(xxprime, zzprime);
619   Hacl_Bignum_fdifference(zzprime, origxprime);
620   Hacl_Bignum_Fsquare_fsquare_times(x3, xxprime, (uint32_t)1U);
621   Hacl_Bignum_Fsquare_fsquare_times(zzzprime, zzprime, (uint32_t)1U);
622   Hacl_Bignum_fmul(z3, zzzprime, qx);
623   Hacl_Bignum_Fsquare_fsquare_times(xx0, x, (uint32_t)1U);
624   Hacl_Bignum_Fsquare_fsquare_times(zz0, z, (uint32_t)1U);
625   zzz = buf + (uint32_t)10U;
626   xx = buf + (uint32_t)15U;
627   zz = buf + (uint32_t)20U;
628   Hacl_Bignum_fmul(x2, xx, zz);
629   Hacl_Bignum_fdifference(zz, xx);
630   scalar = (uint64_t)121665U;
631   Hacl_Bignum_fscalar(zzz, zz, scalar);
632   Hacl_Bignum_fsum(zzz, xx);
633   Hacl_Bignum_fmul(z2, zzz, zz);
634 }
635 
636 static void
Hacl_EC_Ladder_SmallLoop_cmult_small_loop_step(uint64_t * nq,uint64_t * nqpq,uint64_t * nq2,uint64_t * nqpq2,uint64_t * q,uint8_t byt)637 Hacl_EC_Ladder_SmallLoop_cmult_small_loop_step(
638   uint64_t *nq,
639   uint64_t *nqpq,
640   uint64_t *nq2,
641   uint64_t *nqpq2,
642   uint64_t *q,
643   uint8_t byt
644 )
645 {
646   uint64_t bit0 = (uint64_t)(byt >> (uint32_t)7U);
647   uint64_t bit;
648   Hacl_EC_Point_swap_conditional(nq, nqpq, bit0);
649   Hacl_EC_AddAndDouble_fmonty(nq2, nqpq2, nq, nqpq, q);
650   bit = (uint64_t)(byt >> (uint32_t)7U);
651   Hacl_EC_Point_swap_conditional(nq2, nqpq2, bit);
652 }
653 
654 static void
Hacl_EC_Ladder_SmallLoop_cmult_small_loop_double_step(uint64_t * nq,uint64_t * nqpq,uint64_t * nq2,uint64_t * nqpq2,uint64_t * q,uint8_t byt)655 Hacl_EC_Ladder_SmallLoop_cmult_small_loop_double_step(
656   uint64_t *nq,
657   uint64_t *nqpq,
658   uint64_t *nq2,
659   uint64_t *nqpq2,
660   uint64_t *q,
661   uint8_t byt
662 )
663 {
664   uint8_t byt1;
665   Hacl_EC_Ladder_SmallLoop_cmult_small_loop_step(nq, nqpq, nq2, nqpq2, q, byt);
666   byt1 = byt << (uint32_t)1U;
667   Hacl_EC_Ladder_SmallLoop_cmult_small_loop_step(nq2, nqpq2, nq, nqpq, q, byt1);
668 }
669 
670 static void
Hacl_EC_Ladder_SmallLoop_cmult_small_loop(uint64_t * nq,uint64_t * nqpq,uint64_t * nq2,uint64_t * nqpq2,uint64_t * q,uint8_t byt,uint32_t i)671 Hacl_EC_Ladder_SmallLoop_cmult_small_loop(
672   uint64_t *nq,
673   uint64_t *nqpq,
674   uint64_t *nq2,
675   uint64_t *nqpq2,
676   uint64_t *q,
677   uint8_t byt,
678   uint32_t i
679 )
680 {
681   if (!(i == (uint32_t)0U))
682   {
683     uint32_t i_ = i - (uint32_t)1U;
684     uint8_t byt_;
685     Hacl_EC_Ladder_SmallLoop_cmult_small_loop_double_step(nq, nqpq, nq2, nqpq2, q, byt);
686     byt_ = byt << (uint32_t)2U;
687     Hacl_EC_Ladder_SmallLoop_cmult_small_loop(nq, nqpq, nq2, nqpq2, q, byt_, i_);
688   }
689 }
690 
691 static void
Hacl_EC_Ladder_BigLoop_cmult_big_loop(uint8_t * n1,uint64_t * nq,uint64_t * nqpq,uint64_t * nq2,uint64_t * nqpq2,uint64_t * q,uint32_t i)692 Hacl_EC_Ladder_BigLoop_cmult_big_loop(
693   uint8_t *n1,
694   uint64_t *nq,
695   uint64_t *nqpq,
696   uint64_t *nq2,
697   uint64_t *nqpq2,
698   uint64_t *q,
699   uint32_t i
700 )
701 {
702   if (!(i == (uint32_t)0U))
703   {
704     uint32_t i1 = i - (uint32_t)1U;
705     uint8_t byte = n1[i1];
706     Hacl_EC_Ladder_SmallLoop_cmult_small_loop(nq, nqpq, nq2, nqpq2, q, byte, (uint32_t)4U);
707     Hacl_EC_Ladder_BigLoop_cmult_big_loop(n1, nq, nqpq, nq2, nqpq2, q, i1);
708   }
709 }
710 
Hacl_EC_Ladder_cmult(uint64_t * result,uint8_t * n1,uint64_t * q)711 static void Hacl_EC_Ladder_cmult(uint64_t *result, uint8_t *n1, uint64_t *q)
712 {
713   uint64_t point_buf[40U] = { 0U };
714   uint64_t *nq = point_buf;
715   uint64_t *nqpq = point_buf + (uint32_t)10U;
716   uint64_t *nq2 = point_buf + (uint32_t)20U;
717   uint64_t *nqpq2 = point_buf + (uint32_t)30U;
718   Hacl_EC_Point_copy(nqpq, q);
719   nq[0U] = (uint64_t)1U;
720   Hacl_EC_Ladder_BigLoop_cmult_big_loop(n1, nq, nqpq, nq2, nqpq2, q, (uint32_t)32U);
721   Hacl_EC_Point_copy(result, nq);
722 }
723 
Hacl_Curve25519_crypto_scalarmult(uint8_t * mypublic,uint8_t * secret,uint8_t * basepoint)724 void Hacl_Curve25519_crypto_scalarmult(uint8_t *mypublic, uint8_t *secret, uint8_t *basepoint)
725 {
726   uint64_t buf0[10U] = { 0U };
727   uint64_t *x0 = buf0;
728   uint64_t *z = buf0 + (uint32_t)5U;
729   uint64_t *q;
730   Hacl_EC_Format_fexpand(x0, basepoint);
731   z[0U] = (uint64_t)1U;
732   q = buf0;
733   {
734     uint8_t e[32U] = { 0U };
735     uint8_t e0;
736     uint8_t e31;
737     uint8_t e01;
738     uint8_t e311;
739     uint8_t e312;
740     uint8_t *scalar;
741     memcpy(e, secret, (uint32_t)32U * sizeof secret[0U]);
742     e0 = e[0U];
743     e31 = e[31U];
744     e01 = e0 & (uint8_t)248U;
745     e311 = e31 & (uint8_t)127U;
746     e312 = e311 | (uint8_t)64U;
747     e[0U] = e01;
748     e[31U] = e312;
749     scalar = e;
750     {
751       uint64_t buf[15U] = { 0U };
752       uint64_t *nq = buf;
753       uint64_t *x = nq;
754       x[0U] = (uint64_t)1U;
755       Hacl_EC_Ladder_cmult(nq, scalar, q);
756       Hacl_EC_Format_scalar_of_point(mypublic, nq);
757     }
758   }
759 }
760 
761