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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:
a[0]+256*a[1]+...+256^31*a[31] = a
b[0]+256*b[1]+...+256^31*b[31] = b
c[0]+256*c[1]+...+256^31*c[31] = c
Output:
s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l
where l = 2^252 + 27742317777372353535851937790883648493.
*/
void sc_muladd(uint8_t* s, const uint8_t* a, const uint8_t* b, const uint8_t* c)
{
const int32_t MASK = 0x1fffff;
const int64_t a0 = MASK & load_3(a);
const int64_t a1 = MASK & (load_4(a + 2) >> 5);
const int64_t a2 = MASK & (load_3(a + 5) >> 2);
const int64_t a3 = MASK & (load_4(a + 7) >> 7);
const int64_t a4 = MASK & (load_4(a + 10) >> 4);
const int64_t a5 = MASK & (load_3(a + 13) >> 1);
const int64_t a6 = MASK & (load_4(a + 15) >> 6);
const int64_t a7 = MASK & (load_3(a + 18) >> 3);
const int64_t a8 = MASK & load_3(a + 21);
const int64_t a9 = MASK & (load_4(a + 23) >> 5);
const int64_t a10 = MASK & (load_3(a + 26) >> 2);
const int64_t a11 = (load_4(a + 28) >> 7);
const int64_t b0 = MASK & load_3(b);
const int64_t b1 = MASK & (load_4(b + 2) >> 5);
const int64_t b2 = MASK & (load_3(b + 5) >> 2);
const int64_t b3 = MASK & (load_4(b + 7) >> 7);
const int64_t b4 = MASK & (load_4(b + 10) >> 4);
const int64_t b5 = MASK & (load_3(b + 13) >> 1);
const int64_t b6 = MASK & (load_4(b + 15) >> 6);
const int64_t b7 = MASK & (load_3(b + 18) >> 3);
const int64_t b8 = MASK & load_3(b + 21);
const int64_t b9 = MASK & (load_4(b + 23) >> 5);
const int64_t b10 = MASK & (load_3(b + 26) >> 2);
const int64_t b11 = (load_4(b + 28) >> 7);
const int64_t c0 = MASK & load_3(c);
const int64_t c1 = MASK & (load_4(c + 2) >> 5);
const int64_t c2 = MASK & (load_3(c + 5) >> 2);
const int64_t c3 = MASK & (load_4(c + 7) >> 7);
const int64_t c4 = MASK & (load_4(c + 10) >> 4);
const int64_t c5 = MASK & (load_3(c + 13) >> 1);
const int64_t c6 = MASK & (load_4(c + 15) >> 6);
const int64_t c7 = MASK & (load_3(c + 18) >> 3);
const int64_t c8 = MASK & load_3(c + 21);
const int64_t c9 = MASK & (load_4(c + 23) >> 5);
const int64_t c10 = MASK & (load_3(c + 26) >> 2);
const int64_t c11 = (load_4(c + 28) >> 7);
int64_t s0 = c0 + a0*b0;
int64_t s1 = c1 + a0*b1 + a1*b0;
int64_t s2 = c2 + a0*b2 + a1*b1 + a2*b0;
int64_t s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0;
int64_t s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0;
int64_t s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0;
int64_t s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0;
int64_t s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0;
int64_t s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0;
int64_t s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0;
int64_t s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0;
int64_t s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0;
int64_t s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1;
int64_t s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2;
int64_t s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3;
int64_t s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4;
int64_t s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5;
int64_t s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6;
int64_t s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7;
int64_t s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8;
int64_t s20 = a9*b11 + a10*b10 + a11*b9;
int64_t s21 = a10*b11 + a11*b10;
int64_t s22 = a11*b11;
int64_t s23 = 0;
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>(s12, s13);
carry<21>(s14, s15);
carry<21>(s16, s17);
carry<21>(s18, s19);
carry<21>(s20, s21);
carry<21>(s22, s23);
carry<21>(s1, s2);
carry<21>(s3, s4);
carry<21>(s5, s6);
carry<21>(s7, s8);
carry<21>(s9, s10);
carry<21>(s11, s12);
carry<21>(s13, s14);
carry<21>(s15, s16);
carry<21>(s17, s18);
carry<21>(s19, s20);
carry<21>(s21, s22);
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);
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);
}
}
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