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/*
* Ed25519
* (C) 2017 Ribose Inc
*
* Based on the public domain code from SUPERCOP ref10 by
* Peter Schwabe, Daniel J. Bernstein, Niels Duif, Tanja Lange, Bo-Yin Yang
*
* Botan is released under the Simplified BSD License (see license.txt)
*/
#include <botan/internal/ed25519_internal.h>
namespace Botan {
/*
Input:
s[0]+256*s[1]+...+256^63*s[63] = s
Output:
s[0]+256*s[1]+...+256^31*s[31] = s mod l
where l = 2^252 + 27742317777372353535851937790883648493.
Overwrites s in place.
*/
void sc_reduce(uint8_t* s)
{
const uint32_t MASK = 0x1fffff;
int64_t s0 = MASK & load_3(s);
int64_t s1 = MASK & (load_4(s + 2) >> 5);
int64_t s2 = MASK & (load_3(s + 5) >> 2);
int64_t s3 = MASK & (load_4(s + 7) >> 7);
int64_t s4 = MASK & (load_4(s + 10) >> 4);
int64_t s5 = MASK & (load_3(s + 13) >> 1);
int64_t s6 = MASK & (load_4(s + 15) >> 6);
int64_t s7 = MASK & (load_3(s + 18) >> 3);
int64_t s8 = MASK & load_3(s + 21);
int64_t s9 = MASK & (load_4(s + 23) >> 5);
int64_t s10 = MASK & (load_3(s + 26) >> 2);
int64_t s11 = MASK & (load_4(s + 28) >> 7);
int64_t s12 = MASK & (load_4(s + 31) >> 4);
int64_t s13 = MASK & (load_3(s + 34) >> 1);
int64_t s14 = MASK & (load_4(s + 36) >> 6);
int64_t s15 = MASK & (load_3(s + 39) >> 3);
int64_t s16 = MASK & load_3(s + 42);
int64_t s17 = MASK & (load_4(s + 44) >> 5);
int64_t s18 = MASK & (load_3(s + 47) >> 2);
int64_t s19 = MASK & (load_4(s + 49) >> 7);
int64_t s20 = MASK & (load_4(s + 52) >> 4);
int64_t s21 = MASK & (load_3(s + 55) >> 1);
int64_t s22 = MASK & (load_4(s + 57) >> 6);
int64_t s23 = (load_4(s + 60) >> 3);
redc_mul(s11, s12, s13, s14, s15, s16, s23);
redc_mul(s10, s11, s12, s13, s14, s15, s22);
redc_mul( s9, s10, s11, s12, s13, s14, s21);
redc_mul( s8, s9, s10, s11, s12, s13, s20);
redc_mul( s7, s8, s9, s10, s11, s12, s19);
redc_mul( s6, s7, s8, s9, s10, s11, s18);
carry<21>(s6, s7);
carry<21>(s8, s9);
carry<21>(s10, s11);
carry<21>(s12, s13);
carry<21>(s14, s15);
carry<21>(s16, s17);
carry<21>(s7, s8);
carry<21>(s9, s10);
carry<21>(s11, s12);
carry<21>(s13, s14);
carry<21>(s15, s16);
redc_mul(s5, s6, s7, s8, s9, s10, s17);
redc_mul(s4, s5, s6, s7, s8, s9, s16);
redc_mul(s3, s4, s5, s6, s7, s8, s15);
redc_mul(s2, s3, s4, s5, s6, s7, s14);
redc_mul(s1, s2, s3, s4, s5, s6, s13);
redc_mul(s0, s1, s2, s3, s4, s5, s12);
carry<21>(s0, s1);
carry<21>(s2, s3);
carry<21>(s4, s5);
carry<21>(s6, s7);
carry<21>(s8, s9);
carry<21>(s10, s11);
carry<21>(s1, s2);
carry<21>(s3, s4);
carry<21>(s5, s6);
carry<21>(s7, s8);
carry<21>(s9, s10);
carry<21>(s11, s12);
redc_mul(s0, s1, s2, s3, s4, s5, s12);
carry0<21>(s0, s1);
carry0<21>(s1, s2);
carry0<21>(s2, s3);
carry0<21>(s3, s4);
carry0<21>(s4, s5);
carry0<21>(s5, s6);
carry0<21>(s6, s7);
carry0<21>(s7, s8);
carry0<21>(s8, s9);
carry0<21>(s9, s10);
carry0<21>(s10, s11);
carry0<21>(s11, s12);
redc_mul(s0, s1, s2, s3, s4, s5, s12);
carry0<21>(s0, s1);
carry0<21>(s1, s2);
carry0<21>(s2, s3);
carry0<21>(s3, s4);
carry0<21>(s4, s5);
carry0<21>(s5, s6);
carry0<21>(s6, s7);
carry0<21>(s7, s8);
carry0<21>(s8, s9);
carry0<21>(s9, s10);
carry0<21>(s10, s11);
carry0<21>(s11, s12);
s[0] = static_cast<uint8_t>(s0 >> 0);
s[1] = static_cast<uint8_t>(s0 >> 8);
s[2] = static_cast<uint8_t>((s0 >> 16) | (s1 << 5));
s[3] = static_cast<uint8_t>(s1 >> 3);
s[4] = static_cast<uint8_t>(s1 >> 11);
s[5] = static_cast<uint8_t>((s1 >> 19) | (s2 << 2));
s[6] = static_cast<uint8_t>(s2 >> 6);
s[7] = static_cast<uint8_t>((s2 >> 14) | (s3 << 7));
s[8] = static_cast<uint8_t>(s3 >> 1);
s[9] = static_cast<uint8_t>(s3 >> 9);
s[10] = static_cast<uint8_t>((s3 >> 17) | (s4 << 4));
s[11] = static_cast<uint8_t>(s4 >> 4);
s[12] = static_cast<uint8_t>(s4 >> 12);
s[13] = static_cast<uint8_t>((s4 >> 20) | (s5 << 1));
s[14] = static_cast<uint8_t>(s5 >> 7);
s[15] = static_cast<uint8_t>((s5 >> 15) | (s6 << 6));
s[16] = static_cast<uint8_t>(s6 >> 2);
s[17] = static_cast<uint8_t>(s6 >> 10);
s[18] = static_cast<uint8_t>((s6 >> 18) | (s7 << 3));
s[19] = static_cast<uint8_t>(s7 >> 5);
s[20] = static_cast<uint8_t>(s7 >> 13);
s[21] = static_cast<uint8_t>(s8 >> 0);
s[22] = static_cast<uint8_t>(s8 >> 8);
s[23] = static_cast<uint8_t>((s8 >> 16) | (s9 << 5));
s[24] = static_cast<uint8_t>(s9 >> 3);
s[25] = static_cast<uint8_t>(s9 >> 11);
s[26] = static_cast<uint8_t>((s9 >> 19) | (s10 << 2));
s[27] = static_cast<uint8_t>(s10 >> 6);
s[28] = static_cast<uint8_t>((s10 >> 14) | (s11 << 7));
s[29] = static_cast<uint8_t>(s11 >> 1);
s[30] = static_cast<uint8_t>(s11 >> 9);
s[31] = static_cast<uint8_t>(s11 >> 17);
}
}