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@@ -7,14 +7,18 @@ Public domain.
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#include "Constants.hpp"
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#include "Poly1305.hpp"
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+#include <stdio.h>
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+#include <stdint.h>
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+#include <stdlib.h>
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+#include <string.h>
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+
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#ifdef __WINDOWS__
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#pragma warning(disable: 4146)
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#endif
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namespace ZeroTier {
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-//////////////////////////////////////////////////////////////////////////////
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-//////////////////////////////////////////////////////////////////////////////
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+#if 0
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static inline void add(unsigned int h[17],const unsigned int c[17])
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{
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@@ -113,13 +117,278 @@ static inline int crypto_onetimeauth(unsigned char *out,const unsigned char *in,
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return 0;
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}
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-//////////////////////////////////////////////////////////////////////////////
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-//////////////////////////////////////////////////////////////////////////////
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-
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void Poly1305::compute(void *auth,const void *data,unsigned int len,const void *key)
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throw()
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{
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crypto_onetimeauth((unsigned char *)auth,(const unsigned char *)data,len,(const unsigned char *)key);
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}
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+#endif
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+
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+namespace {
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+
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+typedef struct poly1305_context {
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+ size_t aligner;
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+ unsigned char opaque[136];
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+} poly1305_context;
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+
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+/*
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+ poly1305 implementation using 32 bit * 32 bit = 64 bit multiplication and 64 bit addition
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+*/
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+
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+#define poly1305_block_size 16
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+
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+/* 17 + sizeof(size_t) + 14*sizeof(unsigned long) */
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+typedef struct poly1305_state_internal_t {
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+ unsigned long r[5];
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+ unsigned long h[5];
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+ unsigned long pad[4];
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+ size_t leftover;
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+ unsigned char buffer[poly1305_block_size];
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+ unsigned char final;
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+} poly1305_state_internal_t;
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+
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+/* interpret four 8 bit unsigned integers as a 32 bit unsigned integer in little endian */
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+static unsigned long
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+U8TO32(const unsigned char *p) {
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+ return
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+ (((unsigned long)(p[0] & 0xff) ) |
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+ ((unsigned long)(p[1] & 0xff) << 8) |
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+ ((unsigned long)(p[2] & 0xff) << 16) |
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+ ((unsigned long)(p[3] & 0xff) << 24));
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+}
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+
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+/* store a 32 bit unsigned integer as four 8 bit unsigned integers in little endian */
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+static void
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+U32TO8(unsigned char *p, unsigned long v) {
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+ p[0] = (v ) & 0xff;
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+ p[1] = (v >> 8) & 0xff;
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+ p[2] = (v >> 16) & 0xff;
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+ p[3] = (v >> 24) & 0xff;
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+}
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+
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+static inline void
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+poly1305_init(poly1305_context *ctx, const unsigned char key[32]) {
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+ poly1305_state_internal_t *st = (poly1305_state_internal_t *)ctx;
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+
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+ /* r &= 0xffffffc0ffffffc0ffffffc0fffffff */
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+ st->r[0] = (U8TO32(&key[ 0]) ) & 0x3ffffff;
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+ st->r[1] = (U8TO32(&key[ 3]) >> 2) & 0x3ffff03;
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+ st->r[2] = (U8TO32(&key[ 6]) >> 4) & 0x3ffc0ff;
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+ st->r[3] = (U8TO32(&key[ 9]) >> 6) & 0x3f03fff;
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+ st->r[4] = (U8TO32(&key[12]) >> 8) & 0x00fffff;
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+
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+ /* h = 0 */
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+ st->h[0] = 0;
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+ st->h[1] = 0;
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+ st->h[2] = 0;
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+ st->h[3] = 0;
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+ st->h[4] = 0;
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+
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+ /* save pad for later */
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+ st->pad[0] = U8TO32(&key[16]);
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+ st->pad[1] = U8TO32(&key[20]);
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+ st->pad[2] = U8TO32(&key[24]);
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+ st->pad[3] = U8TO32(&key[28]);
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+
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+ st->leftover = 0;
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+ st->final = 0;
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+}
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+
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+static inline void
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+poly1305_blocks(poly1305_state_internal_t *st, const unsigned char *m, size_t bytes) {
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+ const unsigned long hibit = (st->final) ? 0 : (1 << 24); /* 1 << 128 */
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+ unsigned long r0,r1,r2,r3,r4;
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+ unsigned long s1,s2,s3,s4;
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+ unsigned long h0,h1,h2,h3,h4;
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+ unsigned long long d0,d1,d2,d3,d4;
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+ unsigned long c;
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+
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+ r0 = st->r[0];
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+ r1 = st->r[1];
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+ r2 = st->r[2];
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+ r3 = st->r[3];
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+ r4 = st->r[4];
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+
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+ s1 = r1 * 5;
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+ s2 = r2 * 5;
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+ s3 = r3 * 5;
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+ s4 = r4 * 5;
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+
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+ h0 = st->h[0];
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+ h1 = st->h[1];
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+ h2 = st->h[2];
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+ h3 = st->h[3];
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+ h4 = st->h[4];
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+
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+ while (bytes >= poly1305_block_size) {
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+ /* h += m[i] */
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+ h0 += (U8TO32(m+ 0) ) & 0x3ffffff;
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+ h1 += (U8TO32(m+ 3) >> 2) & 0x3ffffff;
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+ h2 += (U8TO32(m+ 6) >> 4) & 0x3ffffff;
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+ h3 += (U8TO32(m+ 9) >> 6) & 0x3ffffff;
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+ h4 += (U8TO32(m+12) >> 8) | hibit;
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+
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+ /* h *= r */
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+ d0 = ((unsigned long long)h0 * r0) + ((unsigned long long)h1 * s4) + ((unsigned long long)h2 * s3) + ((unsigned long long)h3 * s2) + ((unsigned long long)h4 * s1);
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+ d1 = ((unsigned long long)h0 * r1) + ((unsigned long long)h1 * r0) + ((unsigned long long)h2 * s4) + ((unsigned long long)h3 * s3) + ((unsigned long long)h4 * s2);
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+ d2 = ((unsigned long long)h0 * r2) + ((unsigned long long)h1 * r1) + ((unsigned long long)h2 * r0) + ((unsigned long long)h3 * s4) + ((unsigned long long)h4 * s3);
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+ d3 = ((unsigned long long)h0 * r3) + ((unsigned long long)h1 * r2) + ((unsigned long long)h2 * r1) + ((unsigned long long)h3 * r0) + ((unsigned long long)h4 * s4);
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+ d4 = ((unsigned long long)h0 * r4) + ((unsigned long long)h1 * r3) + ((unsigned long long)h2 * r2) + ((unsigned long long)h3 * r1) + ((unsigned long long)h4 * r0);
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+
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+ /* (partial) h %= p */
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+ c = (unsigned long)(d0 >> 26); h0 = (unsigned long)d0 & 0x3ffffff;
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+ d1 += c; c = (unsigned long)(d1 >> 26); h1 = (unsigned long)d1 & 0x3ffffff;
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+ d2 += c; c = (unsigned long)(d2 >> 26); h2 = (unsigned long)d2 & 0x3ffffff;
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+ d3 += c; c = (unsigned long)(d3 >> 26); h3 = (unsigned long)d3 & 0x3ffffff;
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+ d4 += c; c = (unsigned long)(d4 >> 26); h4 = (unsigned long)d4 & 0x3ffffff;
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+ h0 += c * 5; c = (h0 >> 26); h0 = h0 & 0x3ffffff;
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+ h1 += c;
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+
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+ m += poly1305_block_size;
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+ bytes -= poly1305_block_size;
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+ }
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+
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+ st->h[0] = h0;
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+ st->h[1] = h1;
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+ st->h[2] = h2;
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+ st->h[3] = h3;
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+ st->h[4] = h4;
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+}
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+
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+static inline void
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+poly1305_update(poly1305_context *ctx, const unsigned char *m, size_t bytes) {
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+ poly1305_state_internal_t *st = (poly1305_state_internal_t *)ctx;
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+ size_t i;
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+
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+ /* handle leftover */
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+ if (st->leftover) {
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+ size_t want = (poly1305_block_size - st->leftover);
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+ if (want > bytes)
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+ want = bytes;
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+ for (i = 0; i < want; i++)
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+ st->buffer[st->leftover + i] = m[i];
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+ bytes -= want;
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+ m += want;
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+ st->leftover += want;
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+ if (st->leftover < poly1305_block_size)
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+ return;
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+ poly1305_blocks(st, st->buffer, poly1305_block_size);
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+ st->leftover = 0;
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+ }
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+
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+ /* process full blocks */
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+ if (bytes >= poly1305_block_size) {
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+ size_t want = (bytes & ~(poly1305_block_size - 1));
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+ poly1305_blocks(st, m, want);
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+ m += want;
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+ bytes -= want;
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+ }
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+
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+ /* store leftover */
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+ if (bytes) {
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+ for (i = 0; i < bytes; i++)
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+ st->buffer[st->leftover + i] = m[i];
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+ st->leftover += bytes;
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+ }
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+}
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+
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+static inline void
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+poly1305_finish(poly1305_context *ctx, unsigned char mac[16]) {
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+ poly1305_state_internal_t *st = (poly1305_state_internal_t *)ctx;
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+ unsigned long h0,h1,h2,h3,h4,c;
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+ unsigned long g0,g1,g2,g3,g4;
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+ unsigned long long f;
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+ unsigned long mask;
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+
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+ /* process the remaining block */
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+ if (st->leftover) {
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+ size_t i = st->leftover;
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+ st->buffer[i++] = 1;
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+ for (; i < poly1305_block_size; i++)
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+ st->buffer[i] = 0;
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+ st->final = 1;
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+ poly1305_blocks(st, st->buffer, poly1305_block_size);
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+ }
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+
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+ /* fully carry h */
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+ h0 = st->h[0];
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+ h1 = st->h[1];
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+ h2 = st->h[2];
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+ h3 = st->h[3];
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+ h4 = st->h[4];
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+
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+ c = h1 >> 26; h1 = h1 & 0x3ffffff;
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+ h2 += c; c = h2 >> 26; h2 = h2 & 0x3ffffff;
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+ h3 += c; c = h3 >> 26; h3 = h3 & 0x3ffffff;
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+ h4 += c; c = h4 >> 26; h4 = h4 & 0x3ffffff;
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+ h0 += c * 5; c = h0 >> 26; h0 = h0 & 0x3ffffff;
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+ h1 += c;
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+
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+ /* compute h + -p */
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+ g0 = h0 + 5; c = g0 >> 26; g0 &= 0x3ffffff;
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+ g1 = h1 + c; c = g1 >> 26; g1 &= 0x3ffffff;
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+ g2 = h2 + c; c = g2 >> 26; g2 &= 0x3ffffff;
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+ g3 = h3 + c; c = g3 >> 26; g3 &= 0x3ffffff;
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+ g4 = h4 + c - (1 << 26);
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+
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+ /* select h if h < p, or h + -p if h >= p */
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+ mask = (g4 >> ((sizeof(unsigned long) * 8) - 1)) - 1;
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+ g0 &= mask;
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+ g1 &= mask;
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+ g2 &= mask;
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+ g3 &= mask;
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+ g4 &= mask;
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+ mask = ~mask;
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+ h0 = (h0 & mask) | g0;
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+ h1 = (h1 & mask) | g1;
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+ h2 = (h2 & mask) | g2;
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+ h3 = (h3 & mask) | g3;
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+ h4 = (h4 & mask) | g4;
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+
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+ /* h = h % (2^128) */
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+ h0 = ((h0 ) | (h1 << 26)) & 0xffffffff;
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+ h1 = ((h1 >> 6) | (h2 << 20)) & 0xffffffff;
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+ h2 = ((h2 >> 12) | (h3 << 14)) & 0xffffffff;
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+ h3 = ((h3 >> 18) | (h4 << 8)) & 0xffffffff;
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+
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+ /* mac = (h + pad) % (2^128) */
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+ f = (unsigned long long)h0 + st->pad[0] ; h0 = (unsigned long)f;
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+ f = (unsigned long long)h1 + st->pad[1] + (f >> 32); h1 = (unsigned long)f;
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+ f = (unsigned long long)h2 + st->pad[2] + (f >> 32); h2 = (unsigned long)f;
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+ f = (unsigned long long)h3 + st->pad[3] + (f >> 32); h3 = (unsigned long)f;
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+
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+ U32TO8(mac + 0, h0);
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+ U32TO8(mac + 4, h1);
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+ U32TO8(mac + 8, h2);
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+ U32TO8(mac + 12, h3);
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+
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+ /* zero out the state */
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+ st->h[0] = 0;
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+ st->h[1] = 0;
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+ st->h[2] = 0;
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+ st->h[3] = 0;
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+ st->h[4] = 0;
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+ st->r[0] = 0;
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+ st->r[1] = 0;
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+ st->r[2] = 0;
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+ st->r[3] = 0;
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+ st->r[4] = 0;
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+ st->pad[0] = 0;
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+ st->pad[1] = 0;
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+ st->pad[2] = 0;
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+ st->pad[3] = 0;
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+}
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+
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+} // anonymous namespace
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+
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+void Poly1305::compute(void *auth,const void *data,unsigned int len,const void *key)
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+ throw()
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+{
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+ poly1305_context ctx;
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+ poly1305_init(&ctx,reinterpret_cast<const unsigned char *>(key));
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+ poly1305_update(&ctx,reinterpret_cast<const unsigned char *>(data),(size_t)len);
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+ poly1305_finish(&ctx,reinterpret_cast<unsigned char *>(auth));
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+}
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+
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} // namespace ZeroTier
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