mirror of
https://github.com/zoogie/TADpoli.git
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393 lines
6.1 KiB
C
393 lines
6.1 KiB
C
// 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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// obtained from http://git.infradead.org/?p=users/segher/wii.git
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#include <string.h>
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#include <stdio.h>
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#include "types.h"
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#include "bn.h"
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#if 0
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// y**2 + x*y = x**3 + x + b
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static u8 ec_b[30] =
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"\x00\x66\x64\x7e\xde\x6c\x33\x2c\x7f\x8c\x09\x23\xbb\x58\x21"
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"\x3b\x33\x3b\x20\xe9\xce\x42\x81\xfe\x11\x5f\x7d\x8f\x90\xad";
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#endif
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// order of the addition group of points
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static u8 ec_N[30] =
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"\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
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"\x13\xe9\x74\xe7\x2f\x8a\x69\x22\x03\x1d\x26\x03\xcf\xe0\xd7";
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// base point
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static u8 ec_G[60] =
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"\x00\xfa\xc9\xdf\xcb\xac\x83\x13\xbb\x21\x39\xf1\xbb\x75\x5f"
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"\xef\x65\xbc\x39\x1f\x8b\x36\xf8\xf8\xeb\x73\x71\xfd\x55\x8b"
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"\x01\x00\x6a\x08\xa4\x19\x03\x35\x06\x78\xe5\x85\x28\xbe\xbf"
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"\x8a\x0b\xef\xf8\x67\xa7\xca\x36\x71\x6f\x7e\x01\xf8\x10\x52";
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#if 0
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static void elt_print(char *name, u8 *a)
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{
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u32 i;
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printf("%s = ", name);
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for (i = 0; i < 30; i++)
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printf("%02x", a[i]);
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printf("\n");
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}
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#endif
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static void elt_copy(u8 *d, 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(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, u8 *a, 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, 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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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, u8 *a, 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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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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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] =
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"\x00\x01\x04\x05\x10\x11\x14\x15\x40\x41\x44\x45\x50\x51\x54\x55";
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static void elt_square_to_wide(u8 *d, 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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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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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, 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, u8 *a, 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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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, 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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#if 0
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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); // t = x*x
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elt_mul(s, t, x); // s = x*x*x
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elt_add(s, s, t); // s = x*x*x + x*x
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elt_square(t, y); // t = y*y
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elt_add(s, s, t); // s = x*x*x + x*x + y*y
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elt_mul(t, x, y); // t = x*y
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elt_add(s, s, t); // s = x*x*x + x*x + y*y + x*y
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elt_add(s, s, ec_b); // s = x*x*x + x*x + y*y + x*y + ec_b
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return elt_is_zero(s);
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}
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#endif
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static int point_is_zero(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, u8 *p)
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{
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u8 s[30], t[30];
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u8 *px, *py, *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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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); // t = 1/px
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elt_mul(s, py, t); // s = py/px
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elt_add(s, s, px); // s = py/px + px
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elt_square(t, px); // t = px*px
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elt_square(rx, s); // rx = s*s
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elt_add(rx, rx, s); // rx = s*s + s
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rx[29] ^= 1; // rx = s*s + s + 1
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elt_mul(ry, s, rx); // ry = s * rx
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elt_add(ry, ry, rx); // ry = s*rx + rx
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elt_add(ry, ry, t); // ry = s*rx + rx + px*px
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}
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static void point_add(u8 *r, u8 *p, u8 *q)
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{
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u8 s[30], t[30], u[30];
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u8 *px, *py, *qx, *qy, *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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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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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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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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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, u8 *a, 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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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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int generate_ecdsa(u8 *R, u8 *S, u8 *k, 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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elt_zero(e);
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memcpy(e + 10, hash, 20);
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memset(m, 0, 30);
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m[29] = 1;
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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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return 0;
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}
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int check_ecdsa(u8 *Q, u8 *R, u8 *S, 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(u8 *k, u8 *Q)
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{
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point_mul(Q, k, ec_G);
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} |