sc_muladd.cpp - mozsearch

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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);