forked from dolphin-emu/dolphin
9c31d6f5c5
IOS unpersonalises device-specific ("personalised") tickets prior to
storing them on the NAND.
407 lines
7.1 KiB
C++
407 lines
7.1 KiB
C++
// Copyright 2010 Dolphin Emulator Project
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// Licensed under GPLv2+
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// Refer to the license.txt file included.
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// Copyright 2007,2008 Segher Boessenkool <segher@kernel.crashing.org>
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// Licensed under the terms of the GNU GPL, version 2
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// http://www.gnu.org/licenses/old-licenses/gpl-2.0.txt
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#include <cstdio>
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#include <cstdlib>
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#include <ctime>
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#include <string.h>
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#include "Common/Common.h"
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#include "Common/Crypto/bn.h"
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#include "Common/Crypto/ec.h"
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// y**2 + x*y = x**3 + x + b
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UNUSED static const u8 ec_b[30] = {0x00, 0x66, 0x64, 0x7e, 0xde, 0x6c, 0x33, 0x2c, 0x7f, 0x8c,
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0x09, 0x23, 0xbb, 0x58, 0x21, 0x3b, 0x33, 0x3b, 0x20, 0xe9,
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0xce, 0x42, 0x81, 0xfe, 0x11, 0x5f, 0x7d, 0x8f, 0x90, 0xad};
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// order of the addition group of points
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static const u8 ec_N[30] = {0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0x00, 0x00, 0x13, 0xe9, 0x74, 0xe7, 0x2f,
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0x8a, 0x69, 0x22, 0x03, 0x1d, 0x26, 0x03, 0xcf, 0xe0, 0xd7};
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// base point
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static const u8 ec_G[60] = {0x00, 0xfa, 0xc9, 0xdf, 0xcb, 0xac, 0x83, 0x13, 0xbb, 0x21, 0x39, 0xf1,
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0xbb, 0x75, 0x5f, 0xef, 0x65, 0xbc, 0x39, 0x1f, 0x8b, 0x36, 0xf8, 0xf8,
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0xeb, 0x73, 0x71, 0xfd, 0x55, 0x8b, 0x01, 0x00, 0x6a, 0x08, 0xa4, 0x19,
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0x03, 0x35, 0x06, 0x78, 0xe5, 0x85, 0x28, 0xbe, 0xbf, 0x8a, 0x0b, 0xef,
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0xf8, 0x67, 0xa7, 0xca, 0x36, 0x71, 0x6f, 0x7e, 0x01, 0xf8, 0x10, 0x52};
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static void elt_copy(u8* d, const u8* a)
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{
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memcpy(d, a, 30);
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}
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static void elt_zero(u8* d)
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{
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memset(d, 0, 30);
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}
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static int elt_is_zero(const u8* d)
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{
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u32 i;
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for (i = 0; i < 30; i++)
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if (d[i] != 0)
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return 0;
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return 1;
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}
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static void elt_add(u8* d, const u8* a, const u8* b)
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{
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u32 i;
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for (i = 0; i < 30; i++)
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d[i] = a[i] ^ b[i];
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}
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static void elt_mul_x(u8* d, const u8* a)
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{
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u8 carry, x, y;
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u32 i;
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carry = a[0] & 1;
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x = 0;
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for (i = 0; i < 29; i++)
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{
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y = a[i + 1];
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d[i] = x ^ (y >> 7);
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x = y << 1;
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}
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d[29] = x ^ carry;
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d[20] ^= carry << 2;
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}
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static void elt_mul(u8* d, const u8* a, const u8* b)
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{
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u32 i, n;
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u8 mask;
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elt_zero(d);
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i = 0;
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mask = 1;
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for (n = 0; n < 233; n++)
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{
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elt_mul_x(d, d);
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if ((a[i] & mask) != 0)
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elt_add(d, d, b);
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mask >>= 1;
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if (mask == 0)
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{
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mask = 0x80;
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i++;
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}
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}
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}
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static const u8 square[16] = {0x00, 0x01, 0x04, 0x05, 0x10, 0x11, 0x14, 0x15,
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0x40, 0x41, 0x44, 0x45, 0x50, 0x51, 0x54, 0x55};
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static void elt_square_to_wide(u8* d, const u8* a)
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{
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u32 i;
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for (i = 0; i < 30; i++)
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{
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d[2 * i] = square[a[i] >> 4];
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d[2 * i + 1] = square[a[i] & 15];
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}
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}
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static void wide_reduce(u8* d)
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{
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u32 i;
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u8 x;
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for (i = 0; i < 30; i++)
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{
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x = d[i];
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d[i + 19] ^= x >> 7;
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d[i + 20] ^= x << 1;
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d[i + 29] ^= x >> 1;
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d[i + 30] ^= x << 7;
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}
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x = d[30] & ~1;
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d[49] ^= x >> 7;
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d[50] ^= x << 1;
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d[59] ^= x >> 1;
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d[30] &= 1;
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}
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static void elt_square(u8* d, const u8* a)
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{
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u8 wide[60];
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elt_square_to_wide(wide, a);
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wide_reduce(wide);
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elt_copy(d, wide + 30);
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}
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static void itoh_tsujii(u8* d, const u8* a, const u8* b, u32 j)
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{
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u8 t[30];
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elt_copy(t, a);
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while (j--)
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{
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elt_square(d, t);
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elt_copy(t, d);
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}
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elt_mul(d, t, b);
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}
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static void elt_inv(u8* d, const u8* a)
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{
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u8 t[30];
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u8 s[30];
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itoh_tsujii(t, a, a, 1);
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itoh_tsujii(s, t, a, 1);
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itoh_tsujii(t, s, s, 3);
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itoh_tsujii(s, t, a, 1);
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itoh_tsujii(t, s, s, 7);
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itoh_tsujii(s, t, t, 14);
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itoh_tsujii(t, s, a, 1);
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itoh_tsujii(s, t, t, 29);
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itoh_tsujii(t, s, s, 58);
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itoh_tsujii(s, t, t, 116);
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elt_square(d, s);
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}
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UNUSED static int point_is_on_curve(u8* p)
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{
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u8 s[30], t[30];
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u8 *x, *y;
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x = p;
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y = p + 30;
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elt_square(t, x);
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elt_mul(s, t, x);
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elt_add(s, s, t);
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elt_square(t, y);
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elt_add(s, s, t);
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elt_mul(t, x, y);
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elt_add(s, s, t);
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elt_add(s, s, ec_b);
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return elt_is_zero(s);
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}
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static int point_is_zero(const u8* p)
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{
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return elt_is_zero(p) && elt_is_zero(p + 30);
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}
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static void point_double(u8* r, const u8* p)
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{
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u8 s[30], t[30];
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const u8 *px, *py;
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u8 *rx, *ry;
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px = p;
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py = p + 30;
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rx = r;
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ry = r + 30;
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if (elt_is_zero(px))
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{
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elt_zero(rx);
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elt_zero(ry);
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return;
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}
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elt_inv(t, px);
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elt_mul(s, py, t);
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elt_add(s, s, px);
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elt_square(t, px);
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elt_square(rx, s);
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elt_add(rx, rx, s);
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rx[29] ^= 1;
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elt_mul(ry, s, rx);
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elt_add(ry, ry, rx);
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elt_add(ry, ry, t);
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}
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static void point_add(u8* r, const u8* p, const u8* q)
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{
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u8 s[30], t[30], u[30];
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const u8 *px, *py, *qx, *qy;
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u8 *rx, *ry;
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px = p;
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py = p + 30;
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qx = q;
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qy = q + 30;
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rx = r;
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ry = r + 30;
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if (point_is_zero(p))
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{
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elt_copy(rx, qx);
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elt_copy(ry, qy);
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return;
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}
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if (point_is_zero(q))
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{
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elt_copy(rx, px);
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elt_copy(ry, py);
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return;
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}
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elt_add(u, px, qx);
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if (elt_is_zero(u))
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{
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elt_add(u, py, qy);
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if (elt_is_zero(u))
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point_double(r, p);
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else
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{
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elt_zero(rx);
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elt_zero(ry);
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}
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return;
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}
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elt_inv(t, u);
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elt_add(u, py, qy);
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elt_mul(s, t, u);
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elt_square(t, s);
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elt_add(t, t, s);
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elt_add(t, t, qx);
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t[29] ^= 1;
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elt_mul(u, s, t);
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elt_add(s, u, py);
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elt_add(rx, t, px);
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elt_add(ry, s, rx);
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}
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void point_mul(u8* d, const u8* a, const u8* b) // a is bignum
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{
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u32 i;
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u8 mask;
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elt_zero(d);
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elt_zero(d + 30);
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for (i = 0; i < 30; i++)
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for (mask = 0x80; mask != 0; mask >>= 1)
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{
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point_double(d, d);
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if ((a[i] & mask) != 0)
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point_add(d, d, b);
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}
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}
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static void silly_random(u8* rndArea, u8 count)
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{
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u16 i;
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srand((unsigned)(time(nullptr)));
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for (i = 0; i < count; i++)
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{
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rndArea[i] = rand();
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}
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}
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void generate_ecdsa(u8* R, u8* S, const u8* k, const u8* hash)
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{
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u8 e[30];
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u8 kk[30];
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u8 m[30];
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u8 minv[30];
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u8 mG[60];
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// FILE *fp;
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elt_zero(e);
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memcpy(e + 10, hash, 20);
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// Changing random number generator to a lame one...
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silly_random(m, sizeof(m));
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// fp = fopen("/dev/random", "rb");
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// if (fread(m, sizeof m, 1, fp) != 1)
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// fatal("reading random");
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// fclose(fp);
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m[0] = 0;
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// R = (mG).x
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point_mul(mG, m, ec_G);
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elt_copy(R, mG);
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if (bn_compare(R, ec_N, 30) >= 0)
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bn_sub_modulus(R, ec_N, 30);
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// S = m**-1*(e + Rk) (mod N)
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elt_copy(kk, k);
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if (bn_compare(kk, ec_N, 30) >= 0)
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bn_sub_modulus(kk, ec_N, 30);
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bn_mul(S, R, kk, ec_N, 30);
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bn_add(kk, S, e, ec_N, 30);
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bn_inv(minv, m, ec_N, 30);
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bn_mul(S, minv, kk, ec_N, 30);
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}
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UNUSED static int check_ecdsa(u8* Q, u8* R, u8* S, const u8* hash)
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{
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u8 Sinv[30];
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u8 e[30];
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u8 w1[30], w2[30];
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u8 r1[60], r2[60];
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bn_inv(Sinv, S, ec_N, 30);
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elt_zero(e);
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memcpy(e + 10, hash, 20);
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bn_mul(w1, e, Sinv, ec_N, 30);
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bn_mul(w2, R, Sinv, ec_N, 30);
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point_mul(r1, w1, ec_G);
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point_mul(r2, w2, Q);
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point_add(r1, r1, r2);
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if (bn_compare(r1, ec_N, 30) >= 0)
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bn_sub_modulus(r1, ec_N, 30);
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return (bn_compare(r1, R, 30) == 0);
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}
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void ec_priv_to_pub(const u8* k, u8* Q)
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{
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point_mul(Q, k, ec_G);
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}
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