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-rw-r--r--node/Poly1305.cpp511
1 files changed, 507 insertions, 4 deletions
diff --git a/node/Poly1305.cpp b/node/Poly1305.cpp
index 230b2eff..b78071f6 100644
--- a/node/Poly1305.cpp
+++ b/node/Poly1305.cpp
@@ -7,14 +7,21 @@ Public domain.
#include "Constants.hpp"
#include "Poly1305.hpp"
+#include <stdio.h>
+#include <stdint.h>
+#include <stdlib.h>
+#include <string.h>
+
#ifdef __WINDOWS__
#pragma warning(disable: 4146)
#endif
namespace ZeroTier {
-//////////////////////////////////////////////////////////////////////////////
-//////////////////////////////////////////////////////////////////////////////
+#if 0
+
+// "Naive" implementation, which is slower... might still want this on some older
+// or weird platforms if the later versions have issues.
static inline void add(unsigned int h[17],const unsigned int c[17])
{
@@ -113,13 +120,509 @@ static inline int crypto_onetimeauth(unsigned char *out,const unsigned char *in,
return 0;
}
+void Poly1305::compute(void *auth,const void *data,unsigned int len,const void *key)
+ throw()
+{
+ crypto_onetimeauth((unsigned char *)auth,(const unsigned char *)data,len,(const unsigned char *)key);
+}
+
+#endif
+
+namespace {
+
+typedef struct poly1305_context {
+ size_t aligner;
+ unsigned char opaque[136];
+} poly1305_context;
+
+#if (defined(_MSC_VER) || defined(__GNUC__)) && (defined(__amd64) || defined(__amd64__) || defined(__x86_64) || defined(__x86_64__) || defined(__AMD64) || defined(__AMD64__))
+
+//////////////////////////////////////////////////////////////////////////////
+// 128-bit implementation for MSC and GCC from Poly1305-donna
+
+#if defined(_MSC_VER)
+ #include <intrin.h>
+
+ typedef struct uint128_t {
+ unsigned long long lo;
+ unsigned long long hi;
+ } uint128_t;
+
+ #define MUL(out, x, y) out.lo = _umul128((x), (y), &out.hi)
+ #define ADD(out, in) { unsigned long long t = out.lo; out.lo += in.lo; out.hi += (out.lo < t) + in.hi; }
+ #define ADDLO(out, in) { unsigned long long t = out.lo; out.lo += in; out.hi += (out.lo < t); }
+ #define SHR(in, shift) (__shiftright128(in.lo, in.hi, (shift)))
+ #define LO(in) (in.lo)
+
+// #define POLY1305_NOINLINE __declspec(noinline)
+#elif defined(__GNUC__)
+ #if defined(__SIZEOF_INT128__)
+ typedef unsigned __int128 uint128_t;
+ #else
+ typedef unsigned uint128_t __attribute__((mode(TI)));
+ #endif
+
+ #define MUL(out, x, y) out = ((uint128_t)x * y)
+ #define ADD(out, in) out += in
+ #define ADDLO(out, in) out += in
+ #define SHR(in, shift) (unsigned long long)(in >> (shift))
+ #define LO(in) (unsigned long long)(in)
+
+// #define POLY1305_NOINLINE __attribute__((noinline))
+#endif
+
+#define poly1305_block_size 16
+
+/* 17 + sizeof(size_t) + 8*sizeof(unsigned long long) */
+typedef struct poly1305_state_internal_t {
+ unsigned long long r[3];
+ unsigned long long h[3];
+ unsigned long long pad[2];
+ size_t leftover;
+ unsigned char buffer[poly1305_block_size];
+ unsigned char final;
+} poly1305_state_internal_t;
+
+/* interpret eight 8 bit unsigned integers as a 64 bit unsigned integer in little endian */
+static inline unsigned long long
+U8TO64(const unsigned char *p) {
+ return
+ (((unsigned long long)(p[0] & 0xff) ) |
+ ((unsigned long long)(p[1] & 0xff) << 8) |
+ ((unsigned long long)(p[2] & 0xff) << 16) |
+ ((unsigned long long)(p[3] & 0xff) << 24) |
+ ((unsigned long long)(p[4] & 0xff) << 32) |
+ ((unsigned long long)(p[5] & 0xff) << 40) |
+ ((unsigned long long)(p[6] & 0xff) << 48) |
+ ((unsigned long long)(p[7] & 0xff) << 56));
+}
+
+/* store a 64 bit unsigned integer as eight 8 bit unsigned integers in little endian */
+static inline void
+U64TO8(unsigned char *p, unsigned long long v) {
+ p[0] = (v ) & 0xff;
+ p[1] = (v >> 8) & 0xff;
+ p[2] = (v >> 16) & 0xff;
+ p[3] = (v >> 24) & 0xff;
+ p[4] = (v >> 32) & 0xff;
+ p[5] = (v >> 40) & 0xff;
+ p[6] = (v >> 48) & 0xff;
+ p[7] = (v >> 56) & 0xff;
+}
+
+static inline void
+poly1305_init(poly1305_context *ctx, const unsigned char key[32]) {
+ poly1305_state_internal_t *st = (poly1305_state_internal_t *)ctx;
+ unsigned long long t0,t1;
+
+ /* r &= 0xffffffc0ffffffc0ffffffc0fffffff */
+ t0 = U8TO64(&key[0]);
+ t1 = U8TO64(&key[8]);
+
+ st->r[0] = ( t0 ) & 0xffc0fffffff;
+ st->r[1] = ((t0 >> 44) | (t1 << 20)) & 0xfffffc0ffff;
+ st->r[2] = ((t1 >> 24) ) & 0x00ffffffc0f;
+
+ /* h = 0 */
+ st->h[0] = 0;
+ st->h[1] = 0;
+ st->h[2] = 0;
+
+ /* save pad for later */
+ st->pad[0] = U8TO64(&key[16]);
+ st->pad[1] = U8TO64(&key[24]);
+
+ st->leftover = 0;
+ st->final = 0;
+}
+
+static inline void
+poly1305_blocks(poly1305_state_internal_t *st, const unsigned char *m, size_t bytes) {
+ const unsigned long long hibit = (st->final) ? 0 : ((unsigned long long)1 << 40); /* 1 << 128 */
+ unsigned long long r0,r1,r2;
+ unsigned long long s1,s2;
+ unsigned long long h0,h1,h2;
+ unsigned long long c;
+ uint128_t d0,d1,d2,d;
+
+ r0 = st->r[0];
+ r1 = st->r[1];
+ r2 = st->r[2];
+
+ h0 = st->h[0];
+ h1 = st->h[1];
+ h2 = st->h[2];
+
+ s1 = r1 * (5 << 2);
+ s2 = r2 * (5 << 2);
+
+ while (bytes >= poly1305_block_size) {
+ unsigned long long t0,t1;
+
+ /* h += m[i] */
+ t0 = U8TO64(&m[0]);
+ t1 = U8TO64(&m[8]);
+
+ h0 += (( t0 ) & 0xfffffffffff);
+ h1 += (((t0 >> 44) | (t1 << 20)) & 0xfffffffffff);
+ h2 += (((t1 >> 24) ) & 0x3ffffffffff) | hibit;
+
+ /* h *= r */
+ MUL(d0, h0, r0); MUL(d, h1, s2); ADD(d0, d); MUL(d, h2, s1); ADD(d0, d);
+ MUL(d1, h0, r1); MUL(d, h1, r0); ADD(d1, d); MUL(d, h2, s2); ADD(d1, d);
+ MUL(d2, h0, r2); MUL(d, h1, r1); ADD(d2, d); MUL(d, h2, r0); ADD(d2, d);
+
+ /* (partial) h %= p */
+ c = SHR(d0, 44); h0 = LO(d0) & 0xfffffffffff;
+ ADDLO(d1, c); c = SHR(d1, 44); h1 = LO(d1) & 0xfffffffffff;
+ ADDLO(d2, c); c = SHR(d2, 42); h2 = LO(d2) & 0x3ffffffffff;
+ h0 += c * 5; c = (h0 >> 44); h0 = h0 & 0xfffffffffff;
+ h1 += c;
+
+ m += poly1305_block_size;
+ bytes -= poly1305_block_size;
+ }
+
+ st->h[0] = h0;
+ st->h[1] = h1;
+ st->h[2] = h2;
+}
+
+static inline void
+poly1305_finish(poly1305_context *ctx, unsigned char mac[16]) {
+ poly1305_state_internal_t *st = (poly1305_state_internal_t *)ctx;
+ unsigned long long h0,h1,h2,c;
+ unsigned long long g0,g1,g2;
+ unsigned long long t0,t1;
+
+ /* process the remaining block */
+ if (st->leftover) {
+ size_t i = st->leftover;
+ st->buffer[i] = 1;
+ for (i = i + 1; i < poly1305_block_size; i++)
+ st->buffer[i] = 0;
+ st->final = 1;
+ poly1305_blocks(st, st->buffer, poly1305_block_size);
+ }
+
+ /* fully carry h */
+ h0 = st->h[0];
+ h1 = st->h[1];
+ h2 = st->h[2];
+
+ c = (h1 >> 44); h1 &= 0xfffffffffff;
+ h2 += c; c = (h2 >> 42); h2 &= 0x3ffffffffff;
+ h0 += c * 5; c = (h0 >> 44); h0 &= 0xfffffffffff;
+ h1 += c; c = (h1 >> 44); h1 &= 0xfffffffffff;
+ h2 += c; c = (h2 >> 42); h2 &= 0x3ffffffffff;
+ h0 += c * 5; c = (h0 >> 44); h0 &= 0xfffffffffff;
+ h1 += c;
+
+ /* compute h + -p */
+ g0 = h0 + 5; c = (g0 >> 44); g0 &= 0xfffffffffff;
+ g1 = h1 + c; c = (g1 >> 44); g1 &= 0xfffffffffff;
+ g2 = h2 + c - ((unsigned long long)1 << 42);
+
+ /* select h if h < p, or h + -p if h >= p */
+ c = (g2 >> ((sizeof(unsigned long long) * 8) - 1)) - 1;
+ g0 &= c;
+ g1 &= c;
+ g2 &= c;
+ c = ~c;
+ h0 = (h0 & c) | g0;
+ h1 = (h1 & c) | g1;
+ h2 = (h2 & c) | g2;
+
+ /* h = (h + pad) */
+ t0 = st->pad[0];
+ t1 = st->pad[1];
+
+ h0 += (( t0 ) & 0xfffffffffff) ; c = (h0 >> 44); h0 &= 0xfffffffffff;
+ h1 += (((t0 >> 44) | (t1 << 20)) & 0xfffffffffff) + c; c = (h1 >> 44); h1 &= 0xfffffffffff;
+ h2 += (((t1 >> 24) ) & 0x3ffffffffff) + c; h2 &= 0x3ffffffffff;
+
+ /* mac = h % (2^128) */
+ h0 = ((h0 ) | (h1 << 44));
+ h1 = ((h1 >> 20) | (h2 << 24));
+
+ U64TO8(&mac[0], h0);
+ U64TO8(&mac[8], h1);
+
+ /* zero out the state */
+ st->h[0] = 0;
+ st->h[1] = 0;
+ st->h[2] = 0;
+ st->r[0] = 0;
+ st->r[1] = 0;
+ st->r[2] = 0;
+ st->pad[0] = 0;
+ st->pad[1] = 0;
+}
+
//////////////////////////////////////////////////////////////////////////////
+
+#else
+
//////////////////////////////////////////////////////////////////////////////
+// More portable 64-bit implementation
+
+#define poly1305_block_size 16
+
+/* 17 + sizeof(size_t) + 14*sizeof(unsigned long) */
+typedef struct poly1305_state_internal_t {
+ unsigned long r[5];
+ unsigned long h[5];
+ unsigned long pad[4];
+ size_t leftover;
+ unsigned char buffer[poly1305_block_size];
+ unsigned char final;
+} poly1305_state_internal_t;
+
+/* interpret four 8 bit unsigned integers as a 32 bit unsigned integer in little endian */
+static unsigned long
+U8TO32(const unsigned char *p) {
+ return
+ (((unsigned long)(p[0] & 0xff) ) |
+ ((unsigned long)(p[1] & 0xff) << 8) |
+ ((unsigned long)(p[2] & 0xff) << 16) |
+ ((unsigned long)(p[3] & 0xff) << 24));
+}
+
+/* store a 32 bit unsigned integer as four 8 bit unsigned integers in little endian */
+static void
+U32TO8(unsigned char *p, unsigned long v) {
+ p[0] = (v ) & 0xff;
+ p[1] = (v >> 8) & 0xff;
+ p[2] = (v >> 16) & 0xff;
+ p[3] = (v >> 24) & 0xff;
+}
+
+static inline void
+poly1305_init(poly1305_context *ctx, const unsigned char key[32]) {
+ poly1305_state_internal_t *st = (poly1305_state_internal_t *)ctx;
+
+ /* r &= 0xffffffc0ffffffc0ffffffc0fffffff */
+ st->r[0] = (U8TO32(&key[ 0]) ) & 0x3ffffff;
+ st->r[1] = (U8TO32(&key[ 3]) >> 2) & 0x3ffff03;
+ st->r[2] = (U8TO32(&key[ 6]) >> 4) & 0x3ffc0ff;
+ st->r[3] = (U8TO32(&key[ 9]) >> 6) & 0x3f03fff;
+ st->r[4] = (U8TO32(&key[12]) >> 8) & 0x00fffff;
+
+ /* h = 0 */
+ st->h[0] = 0;
+ st->h[1] = 0;
+ st->h[2] = 0;
+ st->h[3] = 0;
+ st->h[4] = 0;
+
+ /* save pad for later */
+ st->pad[0] = U8TO32(&key[16]);
+ st->pad[1] = U8TO32(&key[20]);
+ st->pad[2] = U8TO32(&key[24]);
+ st->pad[3] = U8TO32(&key[28]);
+
+ st->leftover = 0;
+ st->final = 0;
+}
+
+static inline void
+poly1305_blocks(poly1305_state_internal_t *st, const unsigned char *m, size_t bytes) {
+ const unsigned long hibit = (st->final) ? 0 : (1 << 24); /* 1 << 128 */
+ unsigned long r0,r1,r2,r3,r4;
+ unsigned long s1,s2,s3,s4;
+ unsigned long h0,h1,h2,h3,h4;
+ unsigned long long d0,d1,d2,d3,d4;
+ unsigned long c;
+
+ r0 = st->r[0];
+ r1 = st->r[1];
+ r2 = st->r[2];
+ r3 = st->r[3];
+ r4 = st->r[4];
+
+ s1 = r1 * 5;
+ s2 = r2 * 5;
+ s3 = r3 * 5;
+ s4 = r4 * 5;
+
+ h0 = st->h[0];
+ h1 = st->h[1];
+ h2 = st->h[2];
+ h3 = st->h[3];
+ h4 = st->h[4];
+
+ while (bytes >= poly1305_block_size) {
+ /* h += m[i] */
+ h0 += (U8TO32(m+ 0) ) & 0x3ffffff;
+ h1 += (U8TO32(m+ 3) >> 2) & 0x3ffffff;
+ h2 += (U8TO32(m+ 6) >> 4) & 0x3ffffff;
+ h3 += (U8TO32(m+ 9) >> 6) & 0x3ffffff;
+ h4 += (U8TO32(m+12) >> 8) | hibit;
+
+ /* h *= r */
+ 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);
+ 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);
+ 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);
+ 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);
+ 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);
+
+ /* (partial) h %= p */
+ c = (unsigned long)(d0 >> 26); h0 = (unsigned long)d0 & 0x3ffffff;
+ d1 += c; c = (unsigned long)(d1 >> 26); h1 = (unsigned long)d1 & 0x3ffffff;
+ d2 += c; c = (unsigned long)(d2 >> 26); h2 = (unsigned long)d2 & 0x3ffffff;
+ d3 += c; c = (unsigned long)(d3 >> 26); h3 = (unsigned long)d3 & 0x3ffffff;
+ d4 += c; c = (unsigned long)(d4 >> 26); h4 = (unsigned long)d4 & 0x3ffffff;
+ h0 += c * 5; c = (h0 >> 26); h0 = h0 & 0x3ffffff;
+ h1 += c;
+
+ m += poly1305_block_size;
+ bytes -= poly1305_block_size;
+ }
+
+ st->h[0] = h0;
+ st->h[1] = h1;
+ st->h[2] = h2;
+ st->h[3] = h3;
+ st->h[4] = h4;
+}
+
+static inline void
+poly1305_finish(poly1305_context *ctx, unsigned char mac[16]) {
+ poly1305_state_internal_t *st = (poly1305_state_internal_t *)ctx;
+ unsigned long h0,h1,h2,h3,h4,c;
+ unsigned long g0,g1,g2,g3,g4;
+ unsigned long long f;
+ unsigned long mask;
+
+ /* process the remaining block */
+ if (st->leftover) {
+ size_t i = st->leftover;
+ st->buffer[i++] = 1;
+ for (; i < poly1305_block_size; i++)
+ st->buffer[i] = 0;
+ st->final = 1;
+ poly1305_blocks(st, st->buffer, poly1305_block_size);
+ }
+
+ /* fully carry h */
+ h0 = st->h[0];
+ h1 = st->h[1];
+ h2 = st->h[2];
+ h3 = st->h[3];
+ h4 = st->h[4];
+
+ c = h1 >> 26; h1 = h1 & 0x3ffffff;
+ h2 += c; c = h2 >> 26; h2 = h2 & 0x3ffffff;
+ h3 += c; c = h3 >> 26; h3 = h3 & 0x3ffffff;
+ h4 += c; c = h4 >> 26; h4 = h4 & 0x3ffffff;
+ h0 += c * 5; c = h0 >> 26; h0 = h0 & 0x3ffffff;
+ h1 += c;
+
+ /* compute h + -p */
+ g0 = h0 + 5; c = g0 >> 26; g0 &= 0x3ffffff;
+ g1 = h1 + c; c = g1 >> 26; g1 &= 0x3ffffff;
+ g2 = h2 + c; c = g2 >> 26; g2 &= 0x3ffffff;
+ g3 = h3 + c; c = g3 >> 26; g3 &= 0x3ffffff;
+ g4 = h4 + c - (1 << 26);
+
+ /* select h if h < p, or h + -p if h >= p */
+ mask = (g4 >> ((sizeof(unsigned long) * 8) - 1)) - 1;
+ g0 &= mask;
+ g1 &= mask;
+ g2 &= mask;
+ g3 &= mask;
+ g4 &= mask;
+ mask = ~mask;
+ h0 = (h0 & mask) | g0;
+ h1 = (h1 & mask) | g1;
+ h2 = (h2 & mask) | g2;
+ h3 = (h3 & mask) | g3;
+ h4 = (h4 & mask) | g4;
+
+ /* h = h % (2^128) */
+ h0 = ((h0 ) | (h1 << 26)) & 0xffffffff;
+ h1 = ((h1 >> 6) | (h2 << 20)) & 0xffffffff;
+ h2 = ((h2 >> 12) | (h3 << 14)) & 0xffffffff;
+ h3 = ((h3 >> 18) | (h4 << 8)) & 0xffffffff;
+
+ /* mac = (h + pad) % (2^128) */
+ f = (unsigned long long)h0 + st->pad[0] ; h0 = (unsigned long)f;
+ f = (unsigned long long)h1 + st->pad[1] + (f >> 32); h1 = (unsigned long)f;
+ f = (unsigned long long)h2 + st->pad[2] + (f >> 32); h2 = (unsigned long)f;
+ f = (unsigned long long)h3 + st->pad[3] + (f >> 32); h3 = (unsigned long)f;
+
+ U32TO8(mac + 0, h0);
+ U32TO8(mac + 4, h1);
+ U32TO8(mac + 8, h2);
+ U32TO8(mac + 12, h3);
+
+ /* zero out the state */
+ st->h[0] = 0;
+ st->h[1] = 0;
+ st->h[2] = 0;
+ st->h[3] = 0;
+ st->h[4] = 0;
+ st->r[0] = 0;
+ st->r[1] = 0;
+ st->r[2] = 0;
+ st->r[3] = 0;
+ st->r[4] = 0;
+ st->pad[0] = 0;
+ st->pad[1] = 0;
+ st->pad[2] = 0;
+ st->pad[3] = 0;
+}
+
+//////////////////////////////////////////////////////////////////////////////
+
+#endif // MSC/GCC or not
+
+static inline void
+poly1305_update(poly1305_context *ctx, const unsigned char *m, size_t bytes) {
+ poly1305_state_internal_t *st = (poly1305_state_internal_t *)ctx;
+ size_t i;
+
+ /* handle leftover */
+ if (st->leftover) {
+ size_t want = (poly1305_block_size - st->leftover);
+ if (want > bytes)
+ want = bytes;
+ for (i = 0; i < want; i++)
+ st->buffer[st->leftover + i] = m[i];
+ bytes -= want;
+ m += want;
+ st->leftover += want;
+ if (st->leftover < poly1305_block_size)
+ return;
+ poly1305_blocks(st, st->buffer, poly1305_block_size);
+ st->leftover = 0;
+ }
+
+ /* process full blocks */
+ if (bytes >= poly1305_block_size) {
+ size_t want = (bytes & ~(poly1305_block_size - 1));
+ poly1305_blocks(st, m, want);
+ m += want;
+ bytes -= want;
+ }
+
+ /* store leftover */
+ if (bytes) {
+ for (i = 0; i < bytes; i++)
+ st->buffer[st->leftover + i] = m[i];
+ st->leftover += bytes;
+ }
+}
+
+} // anonymous namespace
void Poly1305::compute(void *auth,const void *data,unsigned int len,const void *key)
- throw()
+ throw()
{
- crypto_onetimeauth((unsigned char *)auth,(const unsigned char *)data,len,(const unsigned char *)key);
+ poly1305_context ctx;
+ poly1305_init(&ctx,reinterpret_cast<const unsigned char *>(key));
+ poly1305_update(&ctx,reinterpret_cast<const unsigned char *>(data),(size_t)len);
+ poly1305_finish(&ctx,reinterpret_cast<unsigned char *>(auth));
}
} // namespace ZeroTier