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/* |
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* Copyright (c) 2016 Thomas Pornin |
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* |
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* Permission is hereby granted, free of charge, to any person obtaining |
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* a copy of this software and associated documentation files (the |
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* "Software"), to deal in the Software without restriction, including |
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* without limitation the rights to use, copy, modify, merge, publish, |
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* distribute, sublicense, and/or sell copies of the Software, and to |
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* permit persons to whom the Software is furnished to do so, subject to |
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* the following conditions: |
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* |
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* The above copyright notice and this permission notice shall be |
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* included in all copies or substantial portions of the Software. |
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* |
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
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* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF |
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND |
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* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS |
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* BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN |
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* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN |
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* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE |
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* SOFTWARE. |
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*/ |
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#include "inner.h" |
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/* see inner.h */ |
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void |
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0
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br_i32_modpow(uint32_t *x, |
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const unsigned char *e, size_t elen, |
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const uint32_t *m, uint32_t m0i, uint32_t *t1, uint32_t *t2) |
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{ |
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size_t mlen; |
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uint32_t k; |
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/* |
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* 'mlen' is the length of m[] expressed in bytes (including |
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* the "bit length" first field). |
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*/ |
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mlen = ((m[0] + 63) >> 5) * sizeof m[0]; |
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/* |
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* Throughout the algorithm: |
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* -- t1[] is in Montgomery representation; it contains x, x^2, |
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* x^4, x^8... |
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* -- The result is accumulated, in normal representation, in |
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* the x[] array. |
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* -- t2[] is used as destination buffer for each multiplication. |
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* |
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* Note that there is no need to call br_i32_from_monty(). |
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*/ |
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memcpy(t1, x, mlen); |
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br_i32_to_monty(t1, m); |
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br_i32_zero(x, m[0]); |
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x[1] = 1; |
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0
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for (k = 0; k < ((uint32_t)elen << 3); k ++) { |
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uint32_t ctl; |
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ctl = (e[elen - 1 - (k >> 3)] >> (k & 7)) & 1; |
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br_i32_montymul(t2, x, t1, m, m0i); |
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CCOPY(ctl, x, t2, mlen); |
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br_i32_montymul(t2, t1, t1, m, m0i); |
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memcpy(t1, t2, mlen); |
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} |
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0
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} |