2 poly1305 implementation using 64 bit * 64 bit = 128 bit multiplication and 128 bit addition
5 #define POLY1305_IMPLEMENTATION_NAME "donna64"
7 #if defined(__SIZEOF_INT128__)
8 typedef unsigned __int128 uint128_t;
10 typedef unsigned uint128_t __attribute__((mode(TI)));
13 #define MUL(out, x, y) out = ((uint128_t)x * y)
14 #define ADD(out, in) out += in
15 #define ADDLO(out, in) out += in
16 #define SHR(in, shift) (unsigned long long)(in >> (shift))
17 #define LO(in) (unsigned long long)(in)
19 #define POLY1305_NOINLINE __attribute__((noinline))
21 #define poly1305_block_size 16
23 /* 17 + sizeof(unsigned long long) + 8*sizeof(unsigned long long) */
24 typedef struct poly1305_state_internal_t {
25 unsigned long long r[3];
26 unsigned long long h[3];
27 unsigned long long pad[2];
28 unsigned long long leftover;
29 unsigned char buffer[poly1305_block_size];
31 } poly1305_state_internal_t;
33 /* interpret eight 8 bit unsigned integers as a 64 bit unsigned integer in little endian */
34 static unsigned long long
35 U8TO64(const unsigned char *p) {
37 (((unsigned long long)(p[0] & 0xff) ) |
38 ((unsigned long long)(p[1] & 0xff) << 8) |
39 ((unsigned long long)(p[2] & 0xff) << 16) |
40 ((unsigned long long)(p[3] & 0xff) << 24) |
41 ((unsigned long long)(p[4] & 0xff) << 32) |
42 ((unsigned long long)(p[5] & 0xff) << 40) |
43 ((unsigned long long)(p[6] & 0xff) << 48) |
44 ((unsigned long long)(p[7] & 0xff) << 56));
47 /* store a 64 bit unsigned integer as eight 8 bit unsigned integers in little endian */
49 U64TO8(unsigned char *p, unsigned long long v) {
51 p[1] = (v >> 8) & 0xff;
52 p[2] = (v >> 16) & 0xff;
53 p[3] = (v >> 24) & 0xff;
54 p[4] = (v >> 32) & 0xff;
55 p[5] = (v >> 40) & 0xff;
56 p[6] = (v >> 48) & 0xff;
57 p[7] = (v >> 56) & 0xff;
61 poly1305_init(poly1305_context *ctx, const unsigned char key[32]) {
62 poly1305_state_internal_t *st = (poly1305_state_internal_t *)(void *)ctx;
63 unsigned long long t0,t1;
65 /* r &= 0xffffffc0ffffffc0ffffffc0fffffff */
69 st->r[0] = ( t0 ) & 0xffc0fffffff;
70 st->r[1] = ((t0 >> 44) | (t1 << 20)) & 0xfffffc0ffff;
71 st->r[2] = ((t1 >> 24) ) & 0x00ffffffc0f;
78 /* save pad for later */
79 st->pad[0] = U8TO64(&key[16]);
80 st->pad[1] = U8TO64(&key[24]);
87 poly1305_blocks(poly1305_state_internal_t *st, const unsigned char *m, unsigned long long bytes) {
88 const unsigned long long hibit = (st->final) ? 0 : ((unsigned long long)1 << 40); /* 1 << 128 */
89 unsigned long long r0,r1,r2;
90 unsigned long long s1,s2;
91 unsigned long long h0,h1,h2;
106 while (bytes >= poly1305_block_size) {
107 unsigned long long t0,t1;
113 h0 += (( t0 ) & 0xfffffffffff);
114 h1 += (((t0 >> 44) | (t1 << 20)) & 0xfffffffffff);
115 h2 += (((t1 >> 24) ) & 0x3ffffffffff) | hibit;
118 MUL(d0, h0, r0); MUL(d, h1, s2); ADD(d0, d); MUL(d, h2, s1); ADD(d0, d);
119 MUL(d1, h0, r1); MUL(d, h1, r0); ADD(d1, d); MUL(d, h2, s2); ADD(d1, d);
120 MUL(d2, h0, r2); MUL(d, h1, r1); ADD(d2, d); MUL(d, h2, r0); ADD(d2, d);
122 /* (partial) h %= p */
123 c = SHR(d0, 44); h0 = LO(d0) & 0xfffffffffff;
124 ADDLO(d1, c); c = SHR(d1, 44); h1 = LO(d1) & 0xfffffffffff;
125 ADDLO(d2, c); c = SHR(d2, 42); h2 = LO(d2) & 0x3ffffffffff;
126 h0 += c * 5; c = (h0 >> 44); h0 = h0 & 0xfffffffffff;
129 m += poly1305_block_size;
130 bytes -= poly1305_block_size;
139 static POLY1305_NOINLINE void
140 poly1305_finish(poly1305_context *ctx, unsigned char mac[16]) {
141 poly1305_state_internal_t *st = (poly1305_state_internal_t *)(void *)ctx;
142 unsigned long long h0,h1,h2,c;
143 unsigned long long g0,g1,g2;
144 unsigned long long t0,t1;
146 /* process the remaining block */
148 unsigned long long i = st->leftover;
150 for (i = i + 1; i < poly1305_block_size; i++)
153 poly1305_blocks(st, st->buffer, poly1305_block_size);
161 c = (h1 >> 44); h1 &= 0xfffffffffff;
162 h2 += c; c = (h2 >> 42); h2 &= 0x3ffffffffff;
163 h0 += c * 5; c = (h0 >> 44); h0 &= 0xfffffffffff;
164 h1 += c; c = (h1 >> 44); h1 &= 0xfffffffffff;
165 h2 += c; c = (h2 >> 42); h2 &= 0x3ffffffffff;
166 h0 += c * 5; c = (h0 >> 44); h0 &= 0xfffffffffff;
170 g0 = h0 + 5; c = (g0 >> 44); g0 &= 0xfffffffffff;
171 g1 = h1 + c; c = (g1 >> 44); g1 &= 0xfffffffffff;
172 g2 = h2 + c - ((unsigned long long)1 << 42);
174 /* select h if h < p, or h + -p if h >= p */
175 c = (g2 >> ((sizeof(unsigned long long) * 8) - 1)) - 1;
188 h0 += (( t0 ) & 0xfffffffffff) ; c = (h0 >> 44); h0 &= 0xfffffffffff;
189 h1 += (((t0 >> 44) | (t1 << 20)) & 0xfffffffffff) + c; c = (h1 >> 44); h1 &= 0xfffffffffff;
190 h2 += (((t1 >> 24) ) & 0x3ffffffffff) + c; h2 &= 0x3ffffffffff;
192 /* mac = h % (2^128) */
193 h0 = ((h0 ) | (h1 << 44));
194 h1 = ((h1 >> 20) | (h2 << 24));
199 /* zero out the state */
200 sodium_memzero((void *)st, sizeof *st);