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From: "Jason A. Donenfeld" <Jason@zx2c4.com>
To: linux-kernel@vger.kernel.org, netdev@vger.kernel.org,
	davem@davemloft.net
Cc: "Jason A. Donenfeld" <Jason@zx2c4.com>,
	Andy Lutomirski <luto@kernel.org>,
	Greg KH <gregkh@linuxfoundation.org>,
	Samuel Neves <sneves@dei.uc.pt>,
	Jean-Philippe Aumasson <jeanphilippe.aumasson@gmail.com>,
	Andy Polyakov <appro@openssl.org>,
	linux-crypto@vger.kernel.org
Subject: [PATCH v2 07/17] zinc: Poly1305 generic C implementation and selftest
Date: Fri, 24 Aug 2018 15:38:39 -0600	[thread overview]
Message-ID: <20180824213849.23647-8-Jason@zx2c4.com> (raw)
In-Reply-To: <20180824213849.23647-1-Jason@zx2c4.com>

The C implementation is based on Andy Polyakov's implementation, heavily
modified by Samuel Neves.

Information: https://cr.yp.to/mac.html

Signed-off-by: Jason A. Donenfeld <Jason@zx2c4.com>
Cc: Andy Lutomirski <luto@kernel.org>
Cc: Greg KH <gregkh@linuxfoundation.org>
Cc: Samuel Neves <sneves@dei.uc.pt>
Cc: Jean-Philippe Aumasson <jeanphilippe.aumasson@gmail.com>
Cc: Andy Polyakov <appro@openssl.org>
Cc: linux-crypto@vger.kernel.org
---
 include/zinc/poly1305.h      |   35 +
 lib/zinc/Kconfig             |    4 +
 lib/zinc/Makefile            |    4 +
 lib/zinc/main.c              |    5 +
 lib/zinc/poly1305/poly1305.c |  257 ++++++
 lib/zinc/selftest/poly1305.h | 1566 ++++++++++++++++++++++++++++++++++
 6 files changed, 1871 insertions(+)
 create mode 100644 include/zinc/poly1305.h
 create mode 100644 lib/zinc/poly1305/poly1305.c
 create mode 100644 lib/zinc/selftest/poly1305.h

diff --git a/include/zinc/poly1305.h b/include/zinc/poly1305.h
new file mode 100644
index 000000000000..9fcae37a41ee
--- /dev/null
+++ b/include/zinc/poly1305.h
@@ -0,0 +1,35 @@
+/* SPDX-License-Identifier: GPL-2.0
+ *
+ * Copyright (C) 2015-2018 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved.
+ */
+
+#ifndef _ZINC_POLY1305_H
+#define _ZINC_POLY1305_H
+
+#include <linux/simd.h>
+#include <linux/types.h>
+
+enum poly1305_lengths {
+	POLY1305_BLOCK_SIZE = 16,
+	POLY1305_KEY_SIZE = 32,
+	POLY1305_MAC_SIZE = 16
+};
+
+struct poly1305_ctx {
+	u8 opaque[24 * sizeof(u64)];
+	u32 nonce[4];
+	u8 data[POLY1305_BLOCK_SIZE];
+	size_t num;
+} __aligned(8);
+
+void poly1305_fpu_init(void);
+
+void poly1305_init(struct poly1305_ctx *ctx, const u8 key[POLY1305_KEY_SIZE], simd_context_t simd_context);
+void poly1305_update(struct poly1305_ctx *ctx, const u8 *inp, const size_t len, simd_context_t simd_context);
+void poly1305_finish(struct poly1305_ctx *ctx, u8 mac[POLY1305_MAC_SIZE], simd_context_t simd_context);
+
+#ifdef CONFIG_ZINC_DEBUG
+bool poly1305_selftest(void);
+#endif
+
+#endif /* _ZINC_POLY1305_H */
diff --git a/lib/zinc/Kconfig b/lib/zinc/Kconfig
index 5311a0d6ba8b..86936739a05f 100644
--- a/lib/zinc/Kconfig
+++ b/lib/zinc/Kconfig
@@ -10,6 +10,10 @@ config ZINC_CHACHA20
 	bool
 	select ZINC
 
+config ZINC_POLY1305
+	bool
+	select ZINC
+
 config ZINC_DEBUG
 	bool "Zinc cryptography library debugging and self-tests"
 	depends on ZINC
diff --git a/lib/zinc/Makefile b/lib/zinc/Makefile
index 3ba830b51695..bf7b3a75f4c2 100644
--- a/lib/zinc/Makefile
+++ b/lib/zinc/Makefile
@@ -22,6 +22,10 @@ CFLAGS_chacha20.o += -include $(srctree)/$(src)/chacha20/chacha20-mips-glue.h
 endif
 endif
 
+ifeq ($(CONFIG_ZINC_POLY1305),y)
+zinc-y += poly1305/poly1305.o
+endif
+
 zinc-y += main.o
 
 obj-$(CONFIG_ZINC) := zinc.o
diff --git a/lib/zinc/main.c b/lib/zinc/main.c
index 79b85045f22f..80a2e9f963f7 100644
--- a/lib/zinc/main.c
+++ b/lib/zinc/main.c
@@ -4,6 +4,7 @@
  */
 
 #include <zinc/chacha20.h>
+#include <zinc/poly1305.h>
 
 #include <linux/init.h>
 #include <linux/module.h>
@@ -21,6 +22,10 @@ static int __init mod_init(void)
 {
 #ifdef CONFIG_ZINC_CHACHA20
 	chacha20_fpu_init();
+#endif
+#ifdef CONFIG_ZINC_POLY1305
+	poly1305_fpu_init();
+	selftest(poly1305);
 #endif
 	return 0;
 }
diff --git a/lib/zinc/poly1305/poly1305.c b/lib/zinc/poly1305/poly1305.c
new file mode 100644
index 000000000000..fd4ad5bbb76c
--- /dev/null
+++ b/lib/zinc/poly1305/poly1305.c
@@ -0,0 +1,257 @@
+/* SPDX-License-Identifier: OpenSSL OR (BSD-3-Clause OR GPL-2.0)
+ *
+ * Copyright (C) 2015-2018 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved.
+ * Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+ */
+
+#include <zinc/poly1305.h>
+
+#include <asm/unaligned.h>
+#include <linux/kernel.h>
+#include <linux/string.h>
+
+#ifndef HAVE_POLY1305_ARCH_IMPLEMENTATION
+static inline bool poly1305_init_arch(void *ctx, const u8 key[POLY1305_KEY_SIZE], simd_context_t simd_context) { return false; }
+static inline bool poly1305_blocks_arch(void *ctx, const u8 *inp, const size_t len, const u32 padbit, simd_context_t simd_context) { return false; }
+static inline bool poly1305_emit_arch(void *ctx, u8 mac[POLY1305_MAC_SIZE], const u32 nonce[4], simd_context_t simd_context) { return false; }
+void __init poly1305_fpu_init(void) { }
+#endif
+
+struct poly1305_internal {
+	u32 h[5];
+	u32 r[4];
+};
+
+static void poly1305_init_generic(void *ctx, const u8 key[16])
+{
+	struct poly1305_internal *st = (struct poly1305_internal *)ctx;
+
+	/* h = 0 */
+	st->h[0] = 0;
+	st->h[1] = 0;
+	st->h[2] = 0;
+	st->h[3] = 0;
+	st->h[4] = 0;
+
+	/* r &= 0xffffffc0ffffffc0ffffffc0fffffff */
+	st->r[0] = get_unaligned_le32(&key[ 0]) & 0x0fffffff;
+	st->r[1] = get_unaligned_le32(&key[ 4]) & 0x0ffffffc;
+	st->r[2] = get_unaligned_le32(&key[ 8]) & 0x0ffffffc;
+	st->r[3] = get_unaligned_le32(&key[12]) & 0x0ffffffc;
+}
+
+static void poly1305_blocks_generic(void *ctx, const u8 *inp, size_t len, const u32 padbit)
+{
+#define CONSTANT_TIME_CARRY(a,b) ((a ^ ((a ^ b) | ((a - b) ^ b))) >> (sizeof(a) * 8 - 1))
+	struct poly1305_internal *st = (struct poly1305_internal *)ctx;
+	u32 r0, r1, r2, r3;
+	u32 s1, s2, s3;
+	u32 h0, h1, h2, h3, h4, c;
+	u64 d0, d1, d2, d3;
+
+	r0 = st->r[0];
+	r1 = st->r[1];
+	r2 = st->r[2];
+	r3 = st->r[3];
+
+	s1 = r1 + (r1 >> 2);
+	s2 = r2 + (r2 >> 2);
+	s3 = r3 + (r3 >> 2);
+
+	h0 = st->h[0];
+	h1 = st->h[1];
+	h2 = st->h[2];
+	h3 = st->h[3];
+	h4 = st->h[4];
+
+	while (len >= POLY1305_BLOCK_SIZE) {
+		/* h += m[i] */
+		h0 = (u32)(d0 = (u64)h0 + (0       ) + get_unaligned_le32(&inp[ 0]));
+		h1 = (u32)(d1 = (u64)h1 + (d0 >> 32) + get_unaligned_le32(&inp[ 4]));
+		h2 = (u32)(d2 = (u64)h2 + (d1 >> 32) + get_unaligned_le32(&inp[ 8]));
+		h3 = (u32)(d3 = (u64)h3 + (d2 >> 32) + get_unaligned_le32(&inp[12]));
+		h4 += (u32)(d3 >> 32) + padbit;
+
+		/* h *= r "%" p, where "%" stands for "partial remainder" */
+		d0 = ((u64)h0 * r0) +
+		     ((u64)h1 * s3) +
+		     ((u64)h2 * s2) +
+		     ((u64)h3 * s1);
+		d1 = ((u64)h0 * r1) +
+		     ((u64)h1 * r0) +
+		     ((u64)h2 * s3) +
+		     ((u64)h3 * s2) +
+		     (h4 * s1);
+		d2 = ((u64)h0 * r2) +
+		     ((u64)h1 * r1) +
+		     ((u64)h2 * r0) +
+		     ((u64)h3 * s3) +
+		     (h4 * s2);
+		d3 = ((u64)h0 * r3) +
+		     ((u64)h1 * r2) +
+		     ((u64)h2 * r1) +
+		     ((u64)h3 * r0) +
+		     (h4 * s3);
+		h4 = (h4 * r0);
+
+		/* last reduction step: */
+		/* a) h4:h0 = h4<<128 + d3<<96 + d2<<64 + d1<<32 + d0 */
+		h0 = (u32)d0;
+		h1 = (u32)(d1 += d0 >> 32);
+		h2 = (u32)(d2 += d1 >> 32);
+		h3 = (u32)(d3 += d2 >> 32);
+		h4 += (u32)(d3 >> 32);
+		/* b) (h4:h0 += (h4:h0>>130) * 5) %= 2^130 */
+		c = (h4 >> 2) + (h4 & ~3U);
+		h4 &= 3;
+		h0 += c;
+		h1 += (c = CONSTANT_TIME_CARRY(h0, c));
+		h2 += (c = CONSTANT_TIME_CARRY(h1, c));
+		h3 += (c = CONSTANT_TIME_CARRY(h2, c));
+		h4 += CONSTANT_TIME_CARRY(h3, c);
+		/*
+		 * Occasional overflows to 3rd bit of h4 are taken care of
+		 * "naturally". If after this point we end up at the top of
+		 * this loop, then the overflow bit will be accounted for
+		 * in next iteration. If we end up in poly1305_emit, then
+		 * comparison to modulus below will still count as "carry
+		 * into 131st bit", so that properly reduced value will be
+		 * picked in conditional move.
+		 */
+
+		inp += POLY1305_BLOCK_SIZE;
+		len -= POLY1305_BLOCK_SIZE;
+	}
+
+	st->h[0] = h0;
+	st->h[1] = h1;
+	st->h[2] = h2;
+	st->h[3] = h3;
+	st->h[4] = h4;
+#undef CONSTANT_TIME_CARRY
+}
+
+static void poly1305_emit_generic(void *ctx, u8 mac[16], const u32 nonce[4])
+{
+	struct poly1305_internal *st = (struct poly1305_internal *)ctx;
+	u32 h0, h1, h2, h3, h4;
+	u32 g0, g1, g2, g3, g4;
+	u64 t;
+	u32 mask;
+
+	h0 = st->h[0];
+	h1 = st->h[1];
+	h2 = st->h[2];
+	h3 = st->h[3];
+	h4 = st->h[4];
+
+	/* compare to modulus by computing h + -p */
+	g0 = (u32)(t = (u64)h0 + 5);
+	g1 = (u32)(t = (u64)h1 + (t >> 32));
+	g2 = (u32)(t = (u64)h2 + (t >> 32));
+	g3 = (u32)(t = (u64)h3 + (t >> 32));
+	g4 = h4 + (u32)(t >> 32);
+
+	/* if there was carry into 131st bit, h3:h0 = g3:g0 */
+	mask = 0 - (g4 >> 2);
+	g0 &= mask;
+	g1 &= mask;
+	g2 &= mask;
+	g3 &= mask;
+	mask = ~mask;
+	h0 = (h0 & mask) | g0;
+	h1 = (h1 & mask) | g1;
+	h2 = (h2 & mask) | g2;
+	h3 = (h3 & mask) | g3;
+
+	/* mac = (h + nonce) % (2^128) */
+	h0 = (u32)(t = (u64)h0 + nonce[0]);
+	h1 = (u32)(t = (u64)h1 + (t >> 32) + nonce[1]);
+	h2 = (u32)(t = (u64)h2 + (t >> 32) + nonce[2]);
+	h3 = (u32)(t = (u64)h3 + (t >> 32) + nonce[3]);
+
+	put_unaligned_le32(h0, &mac[ 0]);
+	put_unaligned_le32(h1, &mac[ 4]);
+	put_unaligned_le32(h2, &mac[ 8]);
+	put_unaligned_le32(h3, &mac[12]);
+}
+
+void poly1305_init(struct poly1305_ctx *ctx, const u8 key[POLY1305_KEY_SIZE], simd_context_t simd_context)
+{
+	ctx->nonce[0] = get_unaligned_le32(&key[16]);
+	ctx->nonce[1] = get_unaligned_le32(&key[20]);
+	ctx->nonce[2] = get_unaligned_le32(&key[24]);
+	ctx->nonce[3] = get_unaligned_le32(&key[28]);
+
+	if (!poly1305_init_arch(ctx->opaque, key, simd_context))
+		poly1305_init_generic(ctx->opaque, key);
+	ctx->num = 0;
+}
+EXPORT_SYMBOL(poly1305_init);
+
+static inline void poly1305_blocks(void *ctx, const u8 *inp, const size_t len, const u32 padbit, simd_context_t simd_context)
+{
+	if (!poly1305_blocks_arch(ctx, inp, len, padbit, simd_context))
+		poly1305_blocks_generic(ctx, inp, len, padbit);
+}
+
+static inline void poly1305_emit(void *ctx, u8 mac[POLY1305_KEY_SIZE], const u32 nonce[4], simd_context_t simd_context)
+{
+	if (!poly1305_emit_arch(ctx, mac, nonce, simd_context))
+		poly1305_emit_generic(ctx, mac, nonce);
+}
+
+void poly1305_update(struct poly1305_ctx *ctx, const u8 *inp, size_t len, simd_context_t simd_context)
+{
+	const size_t num = ctx->num % POLY1305_BLOCK_SIZE;
+	size_t rem;
+
+	if (num) {
+		rem = POLY1305_BLOCK_SIZE - num;
+		if (len >= rem) {
+			memcpy(ctx->data + num, inp, rem);
+			poly1305_blocks(ctx->opaque, ctx->data, POLY1305_BLOCK_SIZE, 1, simd_context);
+			inp += rem;
+			len -= rem;
+		} else {
+			/* Still not enough data to process a block. */
+			memcpy(ctx->data + num, inp, len);
+			ctx->num = num + len;
+			return;
+		}
+	}
+
+	rem = len % POLY1305_BLOCK_SIZE;
+	len -= rem;
+
+	if (len >= POLY1305_BLOCK_SIZE) {
+		poly1305_blocks(ctx->opaque, inp, len, 1, simd_context);
+		inp += len;
+	}
+
+	if (rem)
+		memcpy(ctx->data, inp, rem);
+
+	ctx->num = rem;
+}
+EXPORT_SYMBOL(poly1305_update);
+
+void poly1305_finish(struct poly1305_ctx *ctx, u8 mac[POLY1305_MAC_SIZE], simd_context_t simd_context)
+{
+	size_t num = ctx->num % POLY1305_BLOCK_SIZE;
+
+	if (num) {
+		ctx->data[num++] = 1;   /* pad bit */
+		while (num < POLY1305_BLOCK_SIZE)
+			ctx->data[num++] = 0;
+		poly1305_blocks(ctx->opaque, ctx->data, POLY1305_BLOCK_SIZE, 0, simd_context);
+	}
+
+	poly1305_emit(ctx->opaque, mac, ctx->nonce, simd_context);
+
+	/* zero out the state */
+	memzero_explicit(ctx, sizeof(*ctx));
+}
+EXPORT_SYMBOL(poly1305_finish);
+
+#include "../selftest/poly1305.h"
diff --git a/lib/zinc/selftest/poly1305.h b/lib/zinc/selftest/poly1305.h
new file mode 100644
index 000000000000..f9fbe41b75e4
--- /dev/null
+++ b/lib/zinc/selftest/poly1305.h
@@ -0,0 +1,1566 @@
+/* SPDX-License-Identifier: GPL-2.0
+ *
+ * Copyright (C) 2015-2018 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved.
+ * Copyright (C) 2016-2017 The OpenSSL Project Authors. All Rights Reserved.
+ */
+
+#ifdef CONFIG_ZINC_DEBUG
+
+struct poly1305_testdata {
+	size_t size;
+	const u8 data[1024];
+};
+
+struct poly1305_testvec {
+	struct poly1305_testdata input, key, expected;
+};
+
+static const struct poly1305_testvec poly1305_testvecs[] = {
+	/*
+	 * RFC7539
+	 */
+	{
+		{
+			34,
+			{
+				0x43, 0x72, 0x79, 0x70, 0x74, 0x6f, 0x67, 0x72,
+				0x61, 0x70, 0x68, 0x69, 0x63, 0x20, 0x46, 0x6f,
+				0x72, 0x75, 0x6d, 0x20, 0x52, 0x65, 0x73, 0x65,
+				0x61, 0x72, 0x63, 0x68, 0x20, 0x47, 0x72, 0x6f,
+
+				0x75, 0x70
+			}
+		},
+		{
+			32,
+			{
+				0x85, 0xd6, 0xbe, 0x78, 0x57, 0x55, 0x6d, 0x33,
+				0x7f, 0x44, 0x52, 0xfe, 0x42, 0xd5, 0x06, 0xa8,
+				0x01, 0x03, 0x80, 0x8a, 0xfb, 0x0d, 0xb2, 0xfd,
+				0x4a, 0xbf, 0xf6, 0xaf, 0x41, 0x49, 0xf5, 0x1b
+			}
+		},
+		{
+			16,
+			{
+				0xa8, 0x06, 0x1d, 0xc1, 0x30, 0x51, 0x36, 0xc6,
+				0xc2, 0x2b, 0x8b, 0xaf, 0x0c, 0x01, 0x27, 0xa9
+			}
+		}
+	},
+	/*
+	 * test vectors from "The Poly1305-AES message-authentication code"
+	 */
+	{
+		{
+			2,
+			{
+				0xf3, 0xf6
+			}
+		},
+		{
+			32,
+			{
+				0x85, 0x1f, 0xc4, 0x0c, 0x34, 0x67, 0xac, 0x0b,
+				0xe0, 0x5c, 0xc2, 0x04, 0x04, 0xf3, 0xf7, 0x00,
+				0x58, 0x0b, 0x3b, 0x0f, 0x94, 0x47, 0xbb, 0x1e,
+				0x69, 0xd0, 0x95, 0xb5, 0x92, 0x8b, 0x6d, 0xbc
+			}
+		},
+		{
+			16,
+			{
+				0xf4, 0xc6, 0x33, 0xc3, 0x04, 0x4f, 0xc1, 0x45,
+				0xf8, 0x4f, 0x33, 0x5c, 0xb8, 0x19, 0x53, 0xde
+			}
+		}
+	},
+	{
+		{
+			0,
+			{
+				0
+			}
+		},
+		{
+			32,
+			{
+				0xa0, 0xf3, 0x08, 0x00, 0x00, 0xf4, 0x64, 0x00,
+				0xd0, 0xc7, 0xe9, 0x07, 0x6c, 0x83, 0x44, 0x03,
+				0xdd, 0x3f, 0xab, 0x22, 0x51, 0xf1, 0x1a, 0xc7,
+				0x59, 0xf0, 0x88, 0x71, 0x29, 0xcc, 0x2e, 0xe7
+			}
+		},
+		{
+			16,
+			{
+				0xdd, 0x3f, 0xab, 0x22, 0x51, 0xf1, 0x1a, 0xc7,
+				0x59, 0xf0, 0x88, 0x71, 0x29, 0xcc, 0x2e, 0xe7
+			}
+		}
+	},
+	{
+		{
+			32,
+			{
+				0x66, 0x3c, 0xea, 0x19, 0x0f, 0xfb, 0x83, 0xd8,
+				0x95, 0x93, 0xf3, 0xf4, 0x76, 0xb6, 0xbc, 0x24,
+				0xd7, 0xe6, 0x79, 0x10, 0x7e, 0xa2, 0x6a, 0xdb,
+				0x8c, 0xaf, 0x66, 0x52, 0xd0, 0x65, 0x61, 0x36
+			}
+		},
+		{
+			32,
+			{
+				0x48, 0x44, 0x3d, 0x0b, 0xb0, 0xd2, 0x11, 0x09,
+				0xc8, 0x9a, 0x10, 0x0b, 0x5c, 0xe2, 0xc2, 0x08,
+				0x83, 0x14, 0x9c, 0x69, 0xb5, 0x61, 0xdd, 0x88,
+				0x29, 0x8a, 0x17, 0x98, 0xb1, 0x07, 0x16, 0xef
+			}
+		},
+		{
+			16,
+			{
+				0x0e, 0xe1, 0xc1, 0x6b, 0xb7, 0x3f, 0x0f, 0x4f,
+				0xd1, 0x98, 0x81, 0x75, 0x3c, 0x01, 0xcd, 0xbe
+			}
+		}
+	},
+	{
+		{
+			63,
+			{
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67,
+				0xfa, 0x83, 0xe1, 0x58, 0xc9, 0x94, 0xd9, 0x61,
+				0xc4, 0xcb, 0x21, 0x09, 0x5c, 0x1b, 0xf9
+			}
+		},
+		{
+			32,
+			{
+				0x12, 0x97, 0x6a, 0x08, 0xc4, 0x42, 0x6d, 0x0c,
+				0xe8, 0xa8, 0x24, 0x07, 0xc4, 0xf4, 0x82, 0x07,
+				0x80, 0xf8, 0xc2, 0x0a, 0xa7, 0x12, 0x02, 0xd1,
+				0xe2, 0x91, 0x79, 0xcb, 0xcb, 0x55, 0x5a, 0x57
+			}
+		},
+		{
+			16,
+			{
+				0x51, 0x54, 0xad, 0x0d, 0x2c, 0xb2, 0x6e, 0x01,
+				0x27, 0x4f, 0xc5, 0x11, 0x48, 0x49, 0x1f, 0x1b
+			}
+		},
+	},
+	/*
+	 * self-generated vectors exercise "significant" lengths, such that
+	 * are handled by different code paths
+	 */
+	{
+		{
+			64,
+			{
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67,
+				0xfa, 0x83, 0xe1, 0x58, 0xc9, 0x94, 0xd9, 0x61,
+				0xc4, 0xcb, 0x21, 0x09, 0x5c, 0x1b, 0xf9, 0xaf
+			}
+		},
+		{
+			32,
+			{
+				0x12, 0x97, 0x6a, 0x08, 0xc4, 0x42, 0x6d, 0x0c,
+				0xe8, 0xa8, 0x24, 0x07, 0xc4, 0xf4, 0x82, 0x07,
+				0x80, 0xf8, 0xc2, 0x0a, 0xa7, 0x12, 0x02, 0xd1,
+				0xe2, 0x91, 0x79, 0xcb, 0xcb, 0x55, 0x5a, 0x57
+			}
+		},
+		{
+			16,
+			{
+				0x81, 0x20, 0x59, 0xa5, 0xda, 0x19, 0x86, 0x37,
+				0xca, 0xc7, 0xc4, 0xa6, 0x31, 0xbe, 0xe4, 0x66
+			}
+		},
+	},
+	{
+		{
+			48,
+			{
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67
+			}
+		},
+		{
+			32,
+			{
+				0x12, 0x97, 0x6a, 0x08, 0xc4, 0x42, 0x6d, 0x0c,
+				0xe8, 0xa8, 0x24, 0x07, 0xc4, 0xf4, 0x82, 0x07,
+				0x80, 0xf8, 0xc2, 0x0a, 0xa7, 0x12, 0x02, 0xd1,
+				0xe2, 0x91, 0x79, 0xcb, 0xcb, 0x55, 0x5a, 0x57
+
+			}
+		},
+		{
+			16,
+			{
+				0x5b, 0x88, 0xd7, 0xf6, 0x22, 0x8b, 0x11, 0xe2,
+				0xe2, 0x85, 0x79, 0xa5, 0xc0, 0xc1, 0xf7, 0x61
+			}
+		},
+	},
+	{
+		{
+			96,
+			{
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67,
+				0xfa, 0x83, 0xe1, 0x58, 0xc9, 0x94, 0xd9, 0x61,
+				0xc4, 0xcb, 0x21, 0x09, 0x5c, 0x1b, 0xf9, 0xaf,
+
+				0x66, 0x3c, 0xea, 0x19, 0x0f, 0xfb, 0x83, 0xd8,
+				0x95, 0x93, 0xf3, 0xf4, 0x76, 0xb6, 0xbc, 0x24,
+				0xd7, 0xe6, 0x79, 0x10, 0x7e, 0xa2, 0x6a, 0xdb,
+				0x8c, 0xaf, 0x66, 0x52, 0xd0, 0x65, 0x61, 0x36
+			}
+		},
+		{
+			32,
+			{
+				0x12, 0x97, 0x6a, 0x08, 0xc4, 0x42, 0x6d, 0x0c,
+				0xe8, 0xa8, 0x24, 0x07, 0xc4, 0xf4, 0x82, 0x07,
+				0x80, 0xf8, 0xc2, 0x0a, 0xa7, 0x12, 0x02, 0xd1,
+				0xe2, 0x91, 0x79, 0xcb, 0xcb, 0x55, 0x5a, 0x57
+			}
+		},
+		{
+			16,
+			{
+				0xbb, 0xb6, 0x13, 0xb2, 0xb6, 0xd7, 0x53, 0xba,
+				0x07, 0x39, 0x5b, 0x91, 0x6a, 0xae, 0xce, 0x15
+			}
+		},
+	},
+	{
+		{
+			112,
+			{
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67,
+				0xfa, 0x83, 0xe1, 0x58, 0xc9, 0x94, 0xd9, 0x61,
+				0xc4, 0xcb, 0x21, 0x09, 0x5c, 0x1b, 0xf9, 0xaf,
+
+				0x48, 0x44, 0x3d, 0x0b, 0xb0, 0xd2, 0x11, 0x09,
+				0xc8, 0x9a, 0x10, 0x0b, 0x5c, 0xe2, 0xc2, 0x08,
+				0x83, 0x14, 0x9c, 0x69, 0xb5, 0x61, 0xdd, 0x88,
+				0x29, 0x8a, 0x17, 0x98, 0xb1, 0x07, 0x16, 0xef,
+
+				0x66, 0x3c, 0xea, 0x19, 0x0f, 0xfb, 0x83, 0xd8,
+				0x95, 0x93, 0xf3, 0xf4, 0x76, 0xb6, 0xbc, 0x24
+			}
+		},
+		{
+			32,
+			{
+				0x12, 0x97, 0x6a, 0x08, 0xc4, 0x42, 0x6d, 0x0c,
+				0xe8, 0xa8, 0x24, 0x07, 0xc4, 0xf4, 0x82, 0x07,
+				0x80, 0xf8, 0xc2, 0x0a, 0xa7, 0x12, 0x02, 0xd1,
+				0xe2, 0x91, 0x79, 0xcb, 0xcb, 0x55, 0x5a, 0x57
+			}
+		},
+		{
+			16,
+			{
+				0xc7, 0x94, 0xd7, 0x05, 0x7d, 0x17, 0x78, 0xc4,
+				0xbb, 0xee, 0x0a, 0x39, 0xb3, 0xd9, 0x73, 0x42
+			}
+		},
+	},
+	{
+		{
+			128,
+			{
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67,
+				0xfa, 0x83, 0xe1, 0x58, 0xc9, 0x94, 0xd9, 0x61,
+				0xc4, 0xcb, 0x21, 0x09, 0x5c, 0x1b, 0xf9, 0xaf,
+
+				0x48, 0x44, 0x3d, 0x0b, 0xb0, 0xd2, 0x11, 0x09,
+				0xc8, 0x9a, 0x10, 0x0b, 0x5c, 0xe2, 0xc2, 0x08,
+				0x83, 0x14, 0x9c, 0x69, 0xb5, 0x61, 0xdd, 0x88,
+				0x29, 0x8a, 0x17, 0x98, 0xb1, 0x07, 0x16, 0xef,
+
+				0x66, 0x3c, 0xea, 0x19, 0x0f, 0xfb, 0x83, 0xd8,
+				0x95, 0x93, 0xf3, 0xf4, 0x76, 0xb6, 0xbc, 0x24,
+				0xd7, 0xe6, 0x79, 0x10, 0x7e, 0xa2, 0x6a, 0xdb,
+				0x8c, 0xaf, 0x66, 0x52, 0xd0, 0x65, 0x61, 0x36
+			}
+		},
+		{
+			32,
+			{
+				0x12, 0x97, 0x6a, 0x08, 0xc4, 0x42, 0x6d, 0x0c,
+				0xe8, 0xa8, 0x24, 0x07, 0xc4, 0xf4, 0x82, 0x07,
+				0x80, 0xf8, 0xc2, 0x0a, 0xa7, 0x12, 0x02, 0xd1,
+				0xe2, 0x91, 0x79, 0xcb, 0xcb, 0x55, 0x5a, 0x57
+			}
+		},
+		{
+			16,
+			{
+				0xff, 0xbc, 0xb9, 0xb3, 0x71, 0x42, 0x31, 0x52,
+				0xd7, 0xfc, 0xa5, 0xad, 0x04, 0x2f, 0xba, 0xa9
+			}
+		},
+	},
+	{
+		{
+			144,
+			{
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67,
+				0xfa, 0x83, 0xe1, 0x58, 0xc9, 0x94, 0xd9, 0x61,
+				0xc4, 0xcb, 0x21, 0x09, 0x5c, 0x1b, 0xf9, 0xaf,
+
+				0x48, 0x44, 0x3d, 0x0b, 0xb0, 0xd2, 0x11, 0x09,
+				0xc8, 0x9a, 0x10, 0x0b, 0x5c, 0xe2, 0xc2, 0x08,
+				0x83, 0x14, 0x9c, 0x69, 0xb5, 0x61, 0xdd, 0x88,
+				0x29, 0x8a, 0x17, 0x98, 0xb1, 0x07, 0x16, 0xef,
+
+				0x66, 0x3c, 0xea, 0x19, 0x0f, 0xfb, 0x83, 0xd8,
+				0x95, 0x93, 0xf3, 0xf4, 0x76, 0xb6, 0xbc, 0x24,
+				0xd7, 0xe6, 0x79, 0x10, 0x7e, 0xa2, 0x6a, 0xdb,
+				0x8c, 0xaf, 0x66, 0x52, 0xd0, 0x65, 0x61, 0x36,
+
+				0x81, 0x20, 0x59, 0xa5, 0xda, 0x19, 0x86, 0x37,
+				0xca, 0xc7, 0xc4, 0xa6, 0x31, 0xbe, 0xe4, 0x66
+			}
+		},
+		{
+			32,
+			{
+				0x12, 0x97, 0x6a, 0x08, 0xc4, 0x42, 0x6d, 0x0c,
+				0xe8, 0xa8, 0x24, 0x07, 0xc4, 0xf4, 0x82, 0x07,
+				0x80, 0xf8, 0xc2, 0x0a, 0xa7, 0x12, 0x02, 0xd1,
+				0xe2, 0x91, 0x79, 0xcb, 0xcb, 0x55, 0x5a, 0x57
+			}
+		},
+		{
+			16,
+			{
+				0x06, 0x9e, 0xd6, 0xb8, 0xef, 0x0f, 0x20, 0x7b,
+				0x3e, 0x24, 0x3b, 0xb1, 0x01, 0x9f, 0xe6, 0x32
+			}
+		},
+	},
+	{
+		{
+			160,
+			{
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67,
+				0xfa, 0x83, 0xe1, 0x58, 0xc9, 0x94, 0xd9, 0x61,
+				0xc4, 0xcb, 0x21, 0x09, 0x5c, 0x1b, 0xf9, 0xaf,
+
+				0x48, 0x44, 0x3d, 0x0b, 0xb0, 0xd2, 0x11, 0x09,
+				0xc8, 0x9a, 0x10, 0x0b, 0x5c, 0xe2, 0xc2, 0x08,
+				0x83, 0x14, 0x9c, 0x69, 0xb5, 0x61, 0xdd, 0x88,
+				0x29, 0x8a, 0x17, 0x98, 0xb1, 0x07, 0x16, 0xef,
+
+				0x66, 0x3c, 0xea, 0x19, 0x0f, 0xfb, 0x83, 0xd8,
+				0x95, 0x93, 0xf3, 0xf4, 0x76, 0xb6, 0xbc, 0x24,
+				0xd7, 0xe6, 0x79, 0x10, 0x7e, 0xa2, 0x6a, 0xdb,
+				0x8c, 0xaf, 0x66, 0x52, 0xd0, 0x65, 0x61, 0x36,
+
+				0x81, 0x20, 0x59, 0xa5, 0xda, 0x19, 0x86, 0x37,
+				0xca, 0xc7, 0xc4, 0xa6, 0x31, 0xbe, 0xe4, 0x66,
+				0x5b, 0x88, 0xd7, 0xf6, 0x22, 0x8b, 0x11, 0xe2,
+				0xe2, 0x85, 0x79, 0xa5, 0xc0, 0xc1, 0xf7, 0x61
+			}
+		},
+		{
+			32,
+			{
+				0x12, 0x97, 0x6a, 0x08, 0xc4, 0x42, 0x6d, 0x0c,
+				0xe8, 0xa8, 0x24, 0x07, 0xc4, 0xf4, 0x82, 0x07,
+				0x80, 0xf8, 0xc2, 0x0a, 0xa7, 0x12, 0x02, 0xd1,
+				0xe2, 0x91, 0x79, 0xcb, 0xcb, 0x55, 0x5a, 0x57
+			}
+		},
+		{
+			16,
+			{
+				0xcc, 0xa3, 0x39, 0xd9, 0xa4, 0x5f, 0xa2, 0x36,
+				0x8c, 0x2c, 0x68, 0xb3, 0xa4, 0x17, 0x91, 0x33
+			}
+		},
+	},
+	{
+		{
+			288,
+			{
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67,
+				0xfa, 0x83, 0xe1, 0x58, 0xc9, 0x94, 0xd9, 0x61,
+				0xc4, 0xcb, 0x21, 0x09, 0x5c, 0x1b, 0xf9, 0xaf,
+
+				0x48, 0x44, 0x3d, 0x0b, 0xb0, 0xd2, 0x11, 0x09,
+				0xc8, 0x9a, 0x10, 0x0b, 0x5c, 0xe2, 0xc2, 0x08,
+				0x83, 0x14, 0x9c, 0x69, 0xb5, 0x61, 0xdd, 0x88,
+				0x29, 0x8a, 0x17, 0x98, 0xb1, 0x07, 0x16, 0xef,
+
+				0x66, 0x3c, 0xea, 0x19, 0x0f, 0xfb, 0x83, 0xd8,
+				0x95, 0x93, 0xf3, 0xf4, 0x76, 0xb6, 0xbc, 0x24,
+				0xd7, 0xe6, 0x79, 0x10, 0x7e, 0xa2, 0x6a, 0xdb,
+				0x8c, 0xaf, 0x66, 0x52, 0xd0, 0x65, 0x61, 0x36,
+
+				0x81, 0x20, 0x59, 0xa5, 0xda, 0x19, 0x86, 0x37,
+				0xca, 0xc7, 0xc4, 0xa6, 0x31, 0xbe, 0xe4, 0x66,
+				0x5b, 0x88, 0xd7, 0xf6, 0x22, 0x8b, 0x11, 0xe2,
+				0xe2, 0x85, 0x79, 0xa5, 0xc0, 0xc1, 0xf7, 0x61,
+
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67,
+				0xfa, 0x83, 0xe1, 0x58, 0xc9, 0x94, 0xd9, 0x61,
+				0xc4, 0xcb, 0x21, 0x09, 0x5c, 0x1b, 0xf9, 0xaf,
+
+				0x48, 0x44, 0x3d, 0x0b, 0xb0, 0xd2, 0x11, 0x09,
+				0xc8, 0x9a, 0x10, 0x0b, 0x5c, 0xe2, 0xc2, 0x08,
+				0x83, 0x14, 0x9c, 0x69, 0xb5, 0x61, 0xdd, 0x88,
+				0x29, 0x8a, 0x17, 0x98, 0xb1, 0x07, 0x16, 0xef,
+
+				0x66, 0x3c, 0xea, 0x19, 0x0f, 0xfb, 0x83, 0xd8,
+				0x95, 0x93, 0xf3, 0xf4, 0x76, 0xb6, 0xbc, 0x24,
+				0xd7, 0xe6, 0x79, 0x10, 0x7e, 0xa2, 0x6a, 0xdb,
+				0x8c, 0xaf, 0x66, 0x52, 0xd0, 0x65, 0x61, 0x36
+			}
+		},
+		{
+			32,
+			{
+				0x12, 0x97, 0x6a, 0x08, 0xc4, 0x42, 0x6d, 0x0c,
+				0xe8, 0xa8, 0x24, 0x07, 0xc4, 0xf4, 0x82, 0x07,
+				0x80, 0xf8, 0xc2, 0x0a, 0xa7, 0x12, 0x02, 0xd1,
+				0xe2, 0x91, 0x79, 0xcb, 0xcb, 0x55, 0x5a, 0x57
+			}
+		},
+		{
+			16,
+			{
+				0x53, 0xf6, 0xe8, 0x28, 0xa2, 0xf0, 0xfe, 0x0e,
+				0xe8, 0x15, 0xbf, 0x0b, 0xd5, 0x84, 0x1a, 0x34
+			}
+		},
+	},
+	{
+		{
+			320,
+			{
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67,
+				0xfa, 0x83, 0xe1, 0x58, 0xc9, 0x94, 0xd9, 0x61,
+				0xc4, 0xcb, 0x21, 0x09, 0x5c, 0x1b, 0xf9, 0xaf,
+
+				0x48, 0x44, 0x3d, 0x0b, 0xb0, 0xd2, 0x11, 0x09,
+				0xc8, 0x9a, 0x10, 0x0b, 0x5c, 0xe2, 0xc2, 0x08,
+				0x83, 0x14, 0x9c, 0x69, 0xb5, 0x61, 0xdd, 0x88,
+				0x29, 0x8a, 0x17, 0x98, 0xb1, 0x07, 0x16, 0xef,
+
+				0x66, 0x3c, 0xea, 0x19, 0x0f, 0xfb, 0x83, 0xd8,
+				0x95, 0x93, 0xf3, 0xf4, 0x76, 0xb6, 0xbc, 0x24,
+				0xd7, 0xe6, 0x79, 0x10, 0x7e, 0xa2, 0x6a, 0xdb,
+				0x8c, 0xaf, 0x66, 0x52, 0xd0, 0x65, 0x61, 0x36,
+
+				0x81, 0x20, 0x59, 0xa5, 0xda, 0x19, 0x86, 0x37,
+				0xca, 0xc7, 0xc4, 0xa6, 0x31, 0xbe, 0xe4, 0x66,
+				0x5b, 0x88, 0xd7, 0xf6, 0x22, 0x8b, 0x11, 0xe2,
+				0xe2, 0x85, 0x79, 0xa5, 0xc0, 0xc1, 0xf7, 0x61,
+
+				0xab, 0x08, 0x12, 0x72, 0x4a, 0x7f, 0x1e, 0x34,
+				0x27, 0x42, 0xcb, 0xed, 0x37, 0x4d, 0x94, 0xd1,
+				0x36, 0xc6, 0xb8, 0x79, 0x5d, 0x45, 0xb3, 0x81,
+				0x98, 0x30, 0xf2, 0xc0, 0x44, 0x91, 0xfa, 0xf0,
+
+				0x99, 0x0c, 0x62, 0xe4, 0x8b, 0x80, 0x18, 0xb2,
+				0xc3, 0xe4, 0xa0, 0xfa, 0x31, 0x34, 0xcb, 0x67,
+				0xfa, 0x83, 0xe1, 0x58, 0xc9, 0x94, 0xd9, 0x61,
+				0xc4, 0xcb, 0x21, 0x09, 0x5c, 0x1b, 0xf9, 0xaf,
+
+				0x48, 0x44, 0x3d, 0x0b, 0xb0, 0xd2, 0x11, 0x09,
+				0xc8, 0x9a, 0x10, 0x0b, 0x5c, 0xe2, 0xc2, 0x08,
+				0x83, 0x14, 0x9c, 0x69, 0xb5, 0x61, 0xdd, 0x88,
+				0x29, 0x8a, 0x17, 0x98, 0xb1, 0x07, 0x16, 0xef,
+
+				0x66, 0x3c, 0xea, 0x19, 0x0f, 0xfb, 0x83, 0xd8,
+				0x95, 0x93, 0xf3, 0xf4, 0x76, 0xb6, 0xbc, 0x24,
+				0xd7, 0xe6, 0x79, 0x10, 0x7e, 0xa2, 0x6a, 0xdb,
+				0x8c, 0xaf, 0x66, 0x52, 0xd0, 0x65, 0x61, 0x36,
+
+				0x81, 0x20, 0x59, 0xa5, 0xda, 0x19, 0x86, 0x37,
+				0xca, 0xc7, 0xc4, 0xa6, 0x31, 0xbe, 0xe4, 0x66,
+				0x5b, 0x88, 0xd7, 0xf6, 0x22, 0x8b, 0x11, 0xe2,
+				0xe2, 0x85, 0x79, 0xa5, 0xc0, 0xc1, 0xf7, 0x61
+			}
+		},
+		{
+			32,
+			{
+				0x12, 0x97, 0x6a, 0x08, 0xc4, 0x42, 0x6d, 0x0c,
+				0xe8, 0xa8, 0x24, 0x07, 0xc4, 0xf4, 0x82, 0x07,
+				0x80, 0xf8, 0xc2, 0x0a, 0xa7, 0x12, 0x02, 0xd1,
+				0xe2, 0x91, 0x79, 0xcb, 0xcb, 0x55, 0x5a, 0x57
+			}
+		},
+		{
+			16,
+			{
+				0xb8, 0x46, 0xd4, 0x4e, 0x9b, 0xbd, 0x53, 0xce,
+				0xdf, 0xfb, 0xfb, 0xb6, 0xb7, 0xfa, 0x49, 0x33
+			}
+		},
+	},
+	/*
+	 * 4th power of the key spills to 131th bit in SIMD key setup
+	 */
+	{
+		{
+			256,
+			{
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
+			}
+		},
+		{
+			32,
+			{
+				0xad, 0x62, 0x81, 0x07, 0xe8, 0x35, 0x1d, 0x0f,
+				0x2c, 0x23, 0x1a, 0x05, 0xdc, 0x4a, 0x41, 0x06,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			16,
+			{
+				0x07, 0x14, 0x5a, 0x4c, 0x02, 0xfe, 0x5f, 0xa3,
+				0x20, 0x36, 0xde, 0x68, 0xfa, 0xbe, 0x90, 0x66
+			}
+		},
+	},
+	/*
+	 * OpenSSL's poly1305_ieee754.c failed this in final stage
+	 */
+	{
+		{
+			252,
+			{
+				0x84, 0x23, 0x64, 0xe1, 0x56, 0x33, 0x6c, 0x09,
+				0x98, 0xb9, 0x33, 0xa6, 0x23, 0x77, 0x26, 0x18,
+				0x0d, 0x9e, 0x3f, 0xdc, 0xbd, 0xe4, 0xcd, 0x5d,
+				0x17, 0x08, 0x0f, 0xc3, 0xbe, 0xb4, 0x96, 0x14,
+
+				0xd7, 0x12, 0x2c, 0x03, 0x74, 0x63, 0xff, 0x10,
+				0x4d, 0x73, 0xf1, 0x9c, 0x12, 0x70, 0x46, 0x28,
+				0xd4, 0x17, 0xc4, 0xc5, 0x4a, 0x3f, 0xe3, 0x0d,
+				0x3c, 0x3d, 0x77, 0x14, 0x38, 0x2d, 0x43, 0xb0,
+
+				0x38, 0x2a, 0x50, 0xa5, 0xde, 0xe5, 0x4b, 0xe8,
+				0x44, 0xb0, 0x76, 0xe8, 0xdf, 0x88, 0x20, 0x1a,
+				0x1c, 0xd4, 0x3b, 0x90, 0xeb, 0x21, 0x64, 0x3f,
+				0xa9, 0x6f, 0x39, 0xb5, 0x18, 0xaa, 0x83, 0x40,
+
+				0xc9, 0x42, 0xff, 0x3c, 0x31, 0xba, 0xf7, 0xc9,
+				0xbd, 0xbf, 0x0f, 0x31, 0xae, 0x3f, 0xa0, 0x96,
+				0xbf, 0x8c, 0x63, 0x03, 0x06, 0x09, 0x82, 0x9f,
+				0xe7, 0x2e, 0x17, 0x98, 0x24, 0x89, 0x0b, 0xc8,
+
+				0xe0, 0x8c, 0x31, 0x5c, 0x1c, 0xce, 0x2a, 0x83,
+				0x14, 0x4d, 0xbb, 0xff, 0x09, 0xf7, 0x4e, 0x3e,
+				0xfc, 0x77, 0x0b, 0x54, 0xd0, 0x98, 0x4a, 0x8f,
+				0x19, 0xb1, 0x47, 0x19, 0xe6, 0x36, 0x35, 0x64,
+
+				0x1d, 0x6b, 0x1e, 0xed, 0xf6, 0x3e, 0xfb, 0xf0,
+				0x80, 0xe1, 0x78, 0x3d, 0x32, 0x44, 0x54, 0x12,
+				0x11, 0x4c, 0x20, 0xde, 0x0b, 0x83, 0x7a, 0x0d,
+				0xfa, 0x33, 0xd6, 0xb8, 0x28, 0x25, 0xff, 0xf4,
+
+				0x4c, 0x9a, 0x70, 0xea, 0x54, 0xce, 0x47, 0xf0,
+				0x7d, 0xf6, 0x98, 0xe6, 0xb0, 0x33, 0x23, 0xb5,
+				0x30, 0x79, 0x36, 0x4a, 0x5f, 0xc3, 0xe9, 0xdd,
+				0x03, 0x43, 0x92, 0xbd, 0xde, 0x86, 0xdc, 0xcd,
+
+				0xda, 0x94, 0x32, 0x1c, 0x5e, 0x44, 0x06, 0x04,
+				0x89, 0x33, 0x6c, 0xb6, 0x5b, 0xf3, 0x98, 0x9c,
+				0x36, 0xf7, 0x28, 0x2c, 0x2f, 0x5d, 0x2b, 0x88,
+				0x2c, 0x17, 0x1e, 0x74
+			}
+		},
+		{
+			32,
+			{
+				0x95, 0xd5, 0xc0, 0x05, 0x50, 0x3e, 0x51, 0x0d,
+				0x8c, 0xd0, 0xaa, 0x07, 0x2c, 0x4a, 0x4d, 0x06,
+				0x6e, 0xab, 0xc5, 0x2d, 0x11, 0x65, 0x3d, 0xf4,
+				0x7f, 0xbf, 0x63, 0xab, 0x19, 0x8b, 0xcc, 0x26
+			}
+		},
+		{
+			16,
+			{
+				0xf2, 0x48, 0x31, 0x2e, 0x57, 0x8d, 0x9d, 0x58,
+				0xf8, 0xb7, 0xbb, 0x4d, 0x19, 0x10, 0x54, 0x31
+			}
+		},
+	},
+	/*
+	 * AVX2 in OpenSSL's poly1305-x86.pl failed this with 176+32 split
+	 */
+	{
+		{
+			208,
+			{
+				0x24, 0x8a, 0xc3, 0x10, 0x85, 0xb6, 0xc2, 0xad,
+				0xaa, 0xa3, 0x82, 0x59, 0xa0, 0xd7, 0x19, 0x2c,
+				0x5c, 0x35, 0xd1, 0xbb, 0x4e, 0xf3, 0x9a, 0xd9,
+				0x4c, 0x38, 0xd1, 0xc8, 0x24, 0x79, 0xe2, 0xdd,
+
+				0x21, 0x59, 0xa0, 0x77, 0x02, 0x4b, 0x05, 0x89,
+				0xbc, 0x8a, 0x20, 0x10, 0x1b, 0x50, 0x6f, 0x0a,
+				0x1a, 0xd0, 0xbb, 0xab, 0x76, 0xe8, 0x3a, 0x83,
+				0xf1, 0xb9, 0x4b, 0xe6, 0xbe, 0xae, 0x74, 0xe8,
+
+				0x74, 0xca, 0xb6, 0x92, 0xc5, 0x96, 0x3a, 0x75,
+				0x43, 0x6b, 0x77, 0x61, 0x21, 0xec, 0x9f, 0x62,
+				0x39, 0x9a, 0x3e, 0x66, 0xb2, 0xd2, 0x27, 0x07,
+				0xda, 0xe8, 0x19, 0x33, 0xb6, 0x27, 0x7f, 0x3c,
+
+				0x85, 0x16, 0xbc, 0xbe, 0x26, 0xdb, 0xbd, 0x86,
+				0xf3, 0x73, 0x10, 0x3d, 0x7c, 0xf4, 0xca, 0xd1,
+				0x88, 0x8c, 0x95, 0x21, 0x18, 0xfb, 0xfb, 0xd0,
+				0xd7, 0xb4, 0xbe, 0xdc, 0x4a, 0xe4, 0x93, 0x6a,
+
+				0xff, 0x91, 0x15, 0x7e, 0x7a, 0xa4, 0x7c, 0x54,
+				0x44, 0x2e, 0xa7, 0x8d, 0x6a, 0xc2, 0x51, 0xd3,
+				0x24, 0xa0, 0xfb, 0xe4, 0x9d, 0x89, 0xcc, 0x35,
+				0x21, 0xb6, 0x6d, 0x16, 0xe9, 0xc6, 0x6a, 0x37,
+
+				0x09, 0x89, 0x4e, 0x4e, 0xb0, 0xa4, 0xee, 0xdc,
+				0x4a, 0xe1, 0x94, 0x68, 0xe6, 0x6b, 0x81, 0xf2,
+
+				0x71, 0x35, 0x1b, 0x1d, 0x92, 0x1e, 0xa5, 0x51,
+				0x04, 0x7a, 0xbc, 0xc6, 0xb8, 0x7a, 0x90, 0x1f,
+				0xde, 0x7d, 0xb7, 0x9f, 0xa1, 0x81, 0x8c, 0x11,
+				0x33, 0x6d, 0xbc, 0x07, 0x24, 0x4a, 0x40, 0xeb
+			}
+		},
+		{
+			32,
+			{
+				0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
+				0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			16,
+			{
+				0xbc, 0x93, 0x9b, 0xc5, 0x28, 0x14, 0x80, 0xfa,
+				0x99, 0xc6, 0xd6, 0x8c, 0x25, 0x8e, 0xc4, 0x2f
+			}
+		},
+	},
+	/*
+	 * test vectors from Google
+	 */
+	{
+		{
+			0,
+			{
+				0x00,
+			}
+		},
+		{
+			32,
+			{
+				0xc8, 0xaf, 0xaa, 0xc3, 0x31, 0xee, 0x37, 0x2c,
+				0xd6, 0x08, 0x2d, 0xe1, 0x34, 0x94, 0x3b, 0x17,
+				0x47, 0x10, 0x13, 0x0e, 0x9f, 0x6f, 0xea, 0x8d,
+				0x72, 0x29, 0x38, 0x50, 0xa6, 0x67, 0xd8, 0x6c
+			}
+		},
+		{
+			16,
+			{
+				0x47, 0x10, 0x13, 0x0e, 0x9f, 0x6f, 0xea, 0x8d,
+				0x72, 0x29, 0x38, 0x50, 0xa6, 0x67, 0xd8, 0x6c
+			}
+		},
+	},
+	{
+		{
+			12,
+			{
+				0x48, 0x65, 0x6c, 0x6c, 0x6f, 0x20, 0x77, 0x6f,
+				0x72, 0x6c, 0x64, 0x21
+			}
+		},
+		{
+			32,
+			{
+				0x74, 0x68, 0x69, 0x73, 0x20, 0x69, 0x73, 0x20,
+				0x33, 0x32, 0x2d, 0x62, 0x79, 0x74, 0x65, 0x20,
+				0x6b, 0x65, 0x79, 0x20, 0x66, 0x6f, 0x72, 0x20,
+				0x50, 0x6f, 0x6c, 0x79, 0x31, 0x33, 0x30, 0x35
+			}
+		},
+		{
+			16,
+			{
+				0xa6, 0xf7, 0x45, 0x00, 0x8f, 0x81, 0xc9, 0x16,
+				0xa2, 0x0d, 0xcc, 0x74, 0xee, 0xf2, 0xb2, 0xf0
+			}
+		},
+	},
+	{
+		{
+			32,
+			{
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			32,
+			{
+				0x74, 0x68, 0x69, 0x73, 0x20, 0x69, 0x73, 0x20,
+				0x33, 0x32, 0x2d, 0x62, 0x79, 0x74, 0x65, 0x20,
+				0x6b, 0x65, 0x79, 0x20, 0x66, 0x6f, 0x72, 0x20,
+				0x50, 0x6f, 0x6c, 0x79, 0x31, 0x33, 0x30, 0x35
+			}
+		},
+		{
+			16,
+			{
+				0x49, 0xec, 0x78, 0x09, 0x0e, 0x48, 0x1e, 0xc6,
+				0xc2, 0x6b, 0x33, 0xb9, 0x1c, 0xcc, 0x03, 0x07
+			}
+		},
+	},
+	{
+		{
+			128,
+			{
+				0x89, 0xda, 0xb8, 0x0b, 0x77, 0x17, 0xc1, 0xdb,
+				0x5d, 0xb4, 0x37, 0x86, 0x0a, 0x3f, 0x70, 0x21,
+				0x8e, 0x93, 0xe1, 0xb8, 0xf4, 0x61, 0xfb, 0x67,
+				0x7f, 0x16, 0xf3, 0x5f, 0x6f, 0x87, 0xe2, 0xa9,
+
+				0x1c, 0x99, 0xbc, 0x3a, 0x47, 0xac, 0xe4, 0x76,
+				0x40, 0xcc, 0x95, 0xc3, 0x45, 0xbe, 0x5e, 0xcc,
+				0xa5, 0xa3, 0x52, 0x3c, 0x35, 0xcc, 0x01, 0x89,
+				0x3a, 0xf0, 0xb6, 0x4a, 0x62, 0x03, 0x34, 0x27,
+
+				0x03, 0x72, 0xec, 0x12, 0x48, 0x2d, 0x1b, 0x1e,
+				0x36, 0x35, 0x61, 0x69, 0x8a, 0x57, 0x8b, 0x35,
+				0x98, 0x03, 0x49, 0x5b, 0xb4, 0xe2, 0xef, 0x19,
+				0x30, 0xb1, 0x7a, 0x51, 0x90, 0xb5, 0x80, 0xf1,
+
+				0x41, 0x30, 0x0d, 0xf3, 0x0a, 0xdb, 0xec, 0xa2,
+				0x8f, 0x64, 0x27, 0xa8, 0xbc, 0x1a, 0x99, 0x9f,
+				0xd5, 0x1c, 0x55, 0x4a, 0x01, 0x7d, 0x09, 0x5d,
+				0x8c, 0x3e, 0x31, 0x27, 0xda, 0xf9, 0xf5, 0x95
+			}
+		},
+		{
+			32,
+			{
+				0x2d, 0x77, 0x3b, 0xe3, 0x7a, 0xdb, 0x1e, 0x4d,
+				0x68, 0x3b, 0xf0, 0x07, 0x5e, 0x79, 0xc4, 0xee,
+				0x03, 0x79, 0x18, 0x53, 0x5a, 0x7f, 0x99, 0xcc,
+				0xb7, 0x04, 0x0f, 0xb5, 0xf5, 0xf4, 0x3a, 0xea
+			}
+		},
+		{
+			16,
+			{
+				0xc8, 0x5d, 0x15, 0xed, 0x44, 0xc3, 0x78, 0xd6,
+				0xb0, 0x0e, 0x23, 0x06, 0x4c, 0x7b, 0xcd, 0x51
+			}
+		},
+	},
+	{
+		{
+			528,
+			{
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0b,
+				0x17, 0x03, 0x03, 0x02, 0x00, 0x00, 0x00, 0x00,
+
+				0x06, 0xdb, 0x1f, 0x1f, 0x36, 0x8d, 0x69, 0x6a,
+				0x81, 0x0a, 0x34, 0x9c, 0x0c, 0x71, 0x4c, 0x9a,
+				0x5e, 0x78, 0x50, 0xc2, 0x40, 0x7d, 0x72, 0x1a,
+				0xcd, 0xed, 0x95, 0xe0, 0x18, 0xd7, 0xa8, 0x52,
+
+				0x66, 0xa6, 0xe1, 0x28, 0x9c, 0xdb, 0x4a, 0xeb,
+				0x18, 0xda, 0x5a, 0xc8, 0xa2, 0xb0, 0x02, 0x6d,
+				0x24, 0xa5, 0x9a, 0xd4, 0x85, 0x22, 0x7f, 0x3e,
+				0xae, 0xdb, 0xb2, 0xe7, 0xe3, 0x5e, 0x1c, 0x66,
+
+				0xcd, 0x60, 0xf9, 0xab, 0xf7, 0x16, 0xdc, 0xc9,
+				0xac, 0x42, 0x68, 0x2d, 0xd7, 0xda, 0xb2, 0x87,
+				0xa7, 0x02, 0x4c, 0x4e, 0xef, 0xc3, 0x21, 0xcc,
+				0x05, 0x74, 0xe1, 0x67, 0x93, 0xe3, 0x7c, 0xec,
+
+				0x03, 0xc5, 0xbd, 0xa4, 0x2b, 0x54, 0xc1, 0x14,
+				0xa8, 0x0b, 0x57, 0xaf, 0x26, 0x41, 0x6c, 0x7b,
+				0xe7, 0x42, 0x00, 0x5e, 0x20, 0x85, 0x5c, 0x73,
+				0xe2, 0x1d, 0xc8, 0xe2, 0xed, 0xc9, 0xd4, 0x35,
+
+				0xcb, 0x6f, 0x60, 0x59, 0x28, 0x00, 0x11, 0xc2,
+				0x70, 0xb7, 0x15, 0x70, 0x05, 0x1c, 0x1c, 0x9b,
+				0x30, 0x52, 0x12, 0x66, 0x20, 0xbc, 0x1e, 0x27,
+				0x30, 0xfa, 0x06, 0x6c, 0x7a, 0x50, 0x9d, 0x53,
+
+				0xc6, 0x0e, 0x5a, 0xe1, 0xb4, 0x0a, 0xa6, 0xe3,
+				0x9e, 0x49, 0x66, 0x92, 0x28, 0xc9, 0x0e, 0xec,
+				0xb4, 0xa5, 0x0d, 0xb3, 0x2a, 0x50, 0xbc, 0x49,
+				0xe9, 0x0b, 0x4f, 0x4b, 0x35, 0x9a, 0x1d, 0xfd,
+
+				0x11, 0x74, 0x9c, 0xd3, 0x86, 0x7f, 0xcf, 0x2f,
+				0xb7, 0xbb, 0x6c, 0xd4, 0x73, 0x8f, 0x6a, 0x4a,
+				0xd6, 0xf7, 0xca, 0x50, 0x58, 0xf7, 0x61, 0x88,
+				0x45, 0xaf, 0x9f, 0x02, 0x0f, 0x6c, 0x3b, 0x96,
+
+				0x7b, 0x8f, 0x4c, 0xd4, 0xa9, 0x1e, 0x28, 0x13,
+				0xb5, 0x07, 0xae, 0x66, 0xf2, 0xd3, 0x5c, 0x18,
+				0x28, 0x4f, 0x72, 0x92, 0x18, 0x60, 0x62, 0xe1,
+				0x0f, 0xd5, 0x51, 0x0d, 0x18, 0x77, 0x53, 0x51,
+
+				0xef, 0x33, 0x4e, 0x76, 0x34, 0xab, 0x47, 0x43,
+				0xf5, 0xb6, 0x8f, 0x49, 0xad, 0xca, 0xb3, 0x84,
+				0xd3, 0xfd, 0x75, 0xf7, 0x39, 0x0f, 0x40, 0x06,
+				0xef, 0x2a, 0x29, 0x5c, 0x8c, 0x7a, 0x07, 0x6a,
+
+				0xd5, 0x45, 0x46, 0xcd, 0x25, 0xd2, 0x10, 0x7f,
+				0xbe, 0x14, 0x36, 0xc8, 0x40, 0x92, 0x4a, 0xae,
+				0xbe, 0x5b, 0x37, 0x08, 0x93, 0xcd, 0x63, 0xd1,
+				0x32, 0x5b, 0x86, 0x16, 0xfc, 0x48, 0x10, 0x88,
+
+				0x6b, 0xc1, 0x52, 0xc5, 0x32, 0x21, 0xb6, 0xdf,
+				0x37, 0x31, 0x19, 0x39, 0x32, 0x55, 0xee, 0x72,
+				0xbc, 0xaa, 0x88, 0x01, 0x74, 0xf1, 0x71, 0x7f,
+				0x91, 0x84, 0xfa, 0x91, 0x64, 0x6f, 0x17, 0xa2,
+
+				0x4a, 0xc5, 0x5d, 0x16, 0xbf, 0xdd, 0xca, 0x95,
+				0x81, 0xa9, 0x2e, 0xda, 0x47, 0x92, 0x01, 0xf0,
+				0xed, 0xbf, 0x63, 0x36, 0x00, 0xd6, 0x06, 0x6d,
+				0x1a, 0xb3, 0x6d, 0x5d, 0x24, 0x15, 0xd7, 0x13,
+
+				0x51, 0xbb, 0xcd, 0x60, 0x8a, 0x25, 0x10, 0x8d,
+				0x25, 0x64, 0x19, 0x92, 0xc1, 0xf2, 0x6c, 0x53,
+				0x1c, 0xf9, 0xf9, 0x02, 0x03, 0xbc, 0x4c, 0xc1,
+				0x9f, 0x59, 0x27, 0xd8, 0x34, 0xb0, 0xa4, 0x71,
+
+				0x16, 0xd3, 0x88, 0x4b, 0xbb, 0x16, 0x4b, 0x8e,
+				0xc8, 0x83, 0xd1, 0xac, 0x83, 0x2e, 0x56, 0xb3,
+				0x91, 0x8a, 0x98, 0x60, 0x1a, 0x08, 0xd1, 0x71,
+				0x88, 0x15, 0x41, 0xd5, 0x94, 0xdb, 0x39, 0x9c,
+
+				0x6a, 0xe6, 0x15, 0x12, 0x21, 0x74, 0x5a, 0xec,
+				0x81, 0x4c, 0x45, 0xb0, 0xb0, 0x5b, 0x56, 0x54,
+				0x36, 0xfd, 0x6f, 0x13, 0x7a, 0xa1, 0x0a, 0x0c,
+				0x0b, 0x64, 0x37, 0x61, 0xdb, 0xd6, 0xf9, 0xa9,
+
+				0xdc, 0xb9, 0x9b, 0x1a, 0x6e, 0x69, 0x08, 0x54,
+				0xce, 0x07, 0x69, 0xcd, 0xe3, 0x97, 0x61, 0xd8,
+				0x2f, 0xcd, 0xec, 0x15, 0xf0, 0xd9, 0x2d, 0x7d,
+				0x8e, 0x94, 0xad, 0xe8, 0xeb, 0x83, 0xfb, 0xe0
+			}
+		},
+		{
+			32,
+			{
+				0x99, 0xe5, 0x82, 0x2d, 0xd4, 0x17, 0x3c, 0x99,
+				0x5e, 0x3d, 0xae, 0x0d, 0xde, 0xfb, 0x97, 0x74,
+				0x3f, 0xde, 0x3b, 0x08, 0x01, 0x34, 0xb3, 0x9f,
+				0x76, 0xe9, 0xbf, 0x8d, 0x0e, 0x88, 0xd5, 0x46
+			}
+		},
+		{
+			16,
+			{
+				0x26, 0x37, 0x40, 0x8f, 0xe1, 0x30, 0x86, 0xea,
+				0x73, 0xf9, 0x71, 0xe3, 0x42, 0x5e, 0x28, 0x20
+			}
+		},
+	},
+	/*
+	 * test vectors from Hanno Böck
+	 */
+	{
+		{
+			257,
+			{
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+				0xcc, 0x80, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xce, 0xcc, 0xcc, 0xcc,
+
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xc5,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xe3, 0xcc, 0xcc,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+
+				0xcc, 0xcc, 0xcc, 0xcc, 0xac, 0xcc, 0xcc, 0xcc,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xe6,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0x00, 0x00, 0x00,
+				0xaf, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc,
+
+				0xcc, 0xcc, 0xff, 0xff, 0xff, 0xf5, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+
+				0x00, 0xff, 0xff, 0xff, 0xe7, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x71, 0x92, 0x05, 0xa8, 0x52, 0x1d,
+
+				0xfc
+			}
+		},
+		{
+			32,
+			{
+				0x7f, 0x1b, 0x02, 0x64, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc
+			}
+		},
+		{
+			16,
+			{
+				0x85, 0x59, 0xb8, 0x76, 0xec, 0xee, 0xd6, 0x6e,
+				0xb3, 0x77, 0x98, 0xc0, 0x45, 0x7b, 0xaf, 0xf9
+			}
+		},
+	},
+	{
+		{
+			39,
+			{
+				0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa,
+				0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa,
+				0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa,
+				0xaa, 0xaa, 0xaa, 0x00, 0x00, 0x00, 0x00, 0x00,
+
+				0x00, 0x00, 0x00, 0x00, 0x80, 0x02, 0x64
+			}
+		},
+		{
+			32,
+			{
+				0xe0, 0x00, 0x16, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa,
+				0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa
+			}
+		},
+		{
+			16,
+			{
+				0x00, 0xbd, 0x12, 0x58, 0x97, 0x8e, 0x20, 0x54,
+				0x44, 0xc9, 0xaa, 0xaa, 0x82, 0x00, 0x6f, 0xed
+			}
+		},
+	},
+	{
+		{
+			2,
+			{
+				0x02, 0xfc
+			}
+		},
+		{
+			32,
+			{
+				0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c,
+				0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c,
+				0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c,
+				0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c
+			}
+		},
+		{
+			16,
+			{
+				0x06, 0x12, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c,
+				0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c
+			}
+		},
+	},
+	{
+		{
+			415,
+			{
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7a, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+
+				0x7b, 0x7b, 0x5c, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x6e, 0x7b, 0x00, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7a, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x5c,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+				0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b, 0x7b,
+
+				0x7b, 0x6e, 0x7b, 0x00, 0x13, 0x00, 0x00, 0x00,
+				0x00, 0xb3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+
+				0xf2, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x20, 0x00, 0xef, 0xff, 0x00,
+				0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x10, 0x00, 0x00,
+				0x00, 0x00, 0x09, 0x00, 0x00, 0x00, 0x64, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x13, 0x00, 0x00, 0x00, 0x00,
+
+				0xb3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf2,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x20, 0x00, 0xef, 0xff, 0x00, 0x09,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x7a, 0x00, 0x00, 0x10, 0x00, 0x00, 0x00,
+
+				0x00, 0x09, 0x00, 0x00, 0x00, 0x64, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xfc
+			}
+		},
+		{
+			32,
+			{
+				0x00, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x1e, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x7b, 0x7b
+			}
+		},
+		{
+			16,
+			{
+				0x33, 0x20, 0x5b, 0xbf, 0x9e, 0x9f, 0x8f, 0x72,
+				0x12, 0xab, 0x9e, 0x2a, 0xb9, 0xb7, 0xe4, 0xa5
+			}
+		},
+	},
+	{
+		{
+			118,
+			{
+				0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77,
+				0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77,
+				0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77,
+				0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77,
+
+				0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77,
+				0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77,
+				0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77,
+				0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77,
+
+				0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77,
+				0x77, 0x77, 0x77, 0x77, 0xff, 0xff, 0xff, 0xe9,
+				0xe9, 0xac, 0xac, 0xac, 0xac, 0xac, 0xac, 0xac,
+				0xac, 0xac, 0xac, 0xac, 0x00, 0x00, 0xac, 0xac,
+
+				0xec, 0x01, 0x00, 0xac, 0xac, 0xac, 0x2c, 0xac,
+				0xa2, 0xac, 0xac, 0xac, 0xac, 0xac, 0xac, 0xac,
+				0xac, 0xac, 0xac, 0xac, 0x64, 0xf2
+			}
+		},
+		{
+			32,
+			{
+				0x00, 0x00, 0x00, 0x7f, 0x00, 0x00, 0x00, 0x7f,
+				0x01, 0x00, 0x00, 0x20, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0xcf, 0x77, 0x77, 0x77, 0x77, 0x77,
+				0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77, 0x77
+			}
+		},
+		{
+			16,
+			{
+				0x02, 0xee, 0x7c, 0x8c, 0x54, 0x6d, 0xde, 0xb1,
+				0xa4, 0x67, 0xe4, 0xc3, 0x98, 0x11, 0x58, 0xb9
+			}
+		},
+	},
+	/*
+	 * test vectors from Andrew Moon
+	 */
+	{ /* nacl */
+		{
+			131,
+			{
+				0x8e, 0x99, 0x3b, 0x9f, 0x48, 0x68, 0x12, 0x73,
+				0xc2, 0x96, 0x50, 0xba, 0x32, 0xfc, 0x76, 0xce,
+				0x48, 0x33, 0x2e, 0xa7, 0x16, 0x4d, 0x96, 0xa4,
+				0x47, 0x6f, 0xb8, 0xc5, 0x31, 0xa1, 0x18, 0x6a,
+
+				0xc0, 0xdf, 0xc1, 0x7c, 0x98, 0xdc, 0xe8, 0x7b,
+				0x4d, 0xa7, 0xf0, 0x11, 0xec, 0x48, 0xc9, 0x72,
+				0x71, 0xd2, 0xc2, 0x0f, 0x9b, 0x92, 0x8f, 0xe2,
+				0x27, 0x0d, 0x6f, 0xb8, 0x63, 0xd5, 0x17, 0x38,
+
+				0xb4, 0x8e, 0xee, 0xe3, 0x14, 0xa7, 0xcc, 0x8a,
+				0xb9, 0x32, 0x16, 0x45, 0x48, 0xe5, 0x26, 0xae,
+				0x90, 0x22, 0x43, 0x68, 0x51, 0x7a, 0xcf, 0xea,
+				0xbd, 0x6b, 0xb3, 0x73, 0x2b, 0xc0, 0xe9, 0xda,
+
+				0x99, 0x83, 0x2b, 0x61, 0xca, 0x01, 0xb6, 0xde,
+				0x56, 0x24, 0x4a, 0x9e, 0x88, 0xd5, 0xf9, 0xb3,
+				0x79, 0x73, 0xf6, 0x22, 0xa4, 0x3d, 0x14, 0xa6,
+				0x59, 0x9b, 0x1f, 0x65, 0x4c, 0xb4, 0x5a, 0x74,
+
+				0xe3, 0x55, 0xa5
+			}
+		},
+		{
+			32,
+			{
+				0xee, 0xa6, 0xa7, 0x25, 0x1c, 0x1e, 0x72, 0x91,
+				0x6d, 0x11, 0xc2, 0xcb, 0x21, 0x4d, 0x3c, 0x25,
+				0x25, 0x39, 0x12, 0x1d, 0x8e, 0x23, 0x4e, 0x65,
+				0x2d, 0x65, 0x1f, 0xa4, 0xc8, 0xcf, 0xf8, 0x80
+			}
+		},
+		{
+			16,
+			{
+				0xf3, 0xff, 0xc7, 0x70, 0x3f, 0x94, 0x00, 0xe5,
+				0x2a, 0x7d, 0xfb, 0x4b, 0x3d, 0x33, 0x05, 0xd9
+			}
+		},
+	},
+	{ /* wrap 2^130-5 */
+		{
+			16,
+			{
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
+			}
+		},
+		{
+			32,
+			{
+				0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			16,
+			{
+				0x03, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+	},
+	{ /* wrap 2^128 */
+		{
+			16,
+			{
+				0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			32,
+			{
+				0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
+			}
+		},
+		{
+			16,
+			{
+				0x03, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+	},
+	{ /* limb carry */
+		{
+			48,
+			{
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+
+				0x11, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			32,
+			{
+				0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			16,
+			{
+				0x05, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+	},
+	{ /* 2^130-5 */
+		{
+			48,
+			{
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xfb, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe,
+				0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe,
+
+				0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01,
+				0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01
+			}
+		},
+		{
+			32,
+			{
+				0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			16,
+			{
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+
+			}
+		},
+	},
+	{ /* 2^130-6 */
+		{
+			16,
+			{
+				0xfd, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
+			}
+		},
+		{
+			32,
+			{
+				0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			16,
+			{
+				0xfa, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+				0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
+			}
+		},
+	},
+	{ /* 5*H+L reduction intermediate */
+		{
+			64,
+			{
+				0xe3, 0x35, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0xb9,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x33, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0x79, 0xcd,
+				0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			32,
+			{
+				0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			16,
+			{
+				0x14, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x55, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+	},
+	{ /* 5*H+L reduction final */
+		{
+			48,
+			{
+				0xe3, 0x35, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0xb9,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x33, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0x79, 0xcd,
+				0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+
+			}
+		},
+		{
+			32,
+			{
+				0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		},
+		{
+			16,
+			{
+				0x13, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+				0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+			}
+		}
+	}
+};
+
+bool __init poly1305_selftest(void)
+{
+	simd_context_t simd_context = simd_get();
+	bool success = true;
+	size_t i;
+
+	for (i = 0; i < ARRAY_SIZE(poly1305_testvecs); ++i) {
+		struct poly1305_ctx poly1305;
+		const u8 *in = poly1305_testvecs[i].input.data;
+		size_t inlen = poly1305_testvecs[i].input.size;
+		const u8 *key = poly1305_testvecs[i].key.data;
+		const u8 *expected = poly1305_testvecs[i].expected.data;
+		size_t expectedlen = poly1305_testvecs[i].expected.size;
+		u8 out[POLY1305_MAC_SIZE];
+
+		if (expectedlen != sizeof(out)) {
+			pr_info("poly1305 self-test %zu logic: FAIL\n", i + 1);
+			success = false;
+		}
+
+		memset(out, 0, sizeof(out));
+		memset(&poly1305, 0, sizeof(poly1305));
+		poly1305_init(&poly1305, key, simd_context);
+		poly1305_update(&poly1305, in, inlen, simd_context);
+		poly1305_finish(&poly1305, out, simd_context);
+		if (memcmp(out, expected, expectedlen)) {
+			pr_info("poly1305 self-test %zu: FAIL\n", i + 1);
+			success = false;
+		}
+
+		if (inlen > 16) {
+			memset(out, 0, sizeof(out));
+			memset(&poly1305, 0, sizeof(poly1305));
+			poly1305_init(&poly1305, key, simd_context);
+			poly1305_update(&poly1305, in, 1, simd_context);
+			poly1305_update(&poly1305, in + 1, inlen - 1, simd_context);
+			poly1305_finish(&poly1305, out, simd_context);
+			if (memcmp(out, expected, expectedlen)) {
+				pr_info("poly1305 self-test %zu/1+(N-1): FAIL\n", i + 1);
+				success = false;
+			}
+		}
+
+		if (inlen > 32) {
+			size_t half = inlen / 2;
+
+			memset(out, 0, sizeof(out));
+			memset(&poly1305, 0, sizeof(poly1305));
+			poly1305_init(&poly1305, key, simd_context);
+			poly1305_update(&poly1305, in, half, simd_context);
+			poly1305_update(&poly1305, in + half, inlen - half, simd_context);
+			poly1305_finish(&poly1305, out, simd_context);
+			if (memcmp(out, expected, expectedlen)) {
+				pr_info("poly1305 self-test %zu/2: FAIL\n", i + 1);
+				success = false;
+			}
+
+			for (half = 16; half < inlen; half += 16) {
+				memset(out, 0, sizeof(out));
+				memset(&poly1305, 0, sizeof(poly1305));
+				poly1305_init(&poly1305, key, simd_context);
+				poly1305_update(&poly1305, in, half, simd_context);
+				poly1305_update(&poly1305, in + half, inlen - half, simd_context);
+				poly1305_finish(&poly1305, out, simd_context);
+				if (memcmp(out, expected, expectedlen)) {
+					pr_info("poly1305 self-test %zu/%zu+%zu: FAIL\n", i + 1, half, inlen - half);
+					success = false;
+				}
+			}
+		}
+	}
+	simd_put(simd_context);
+
+	if (success)
+		pr_info("poly1305 self-tests: pass\n");
+
+	return success;
+}
+#endif
-- 
2.18.0

  parent reply	other threads:[~2018-08-24 21:38 UTC|newest]

Thread overview: 51+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-08-24 21:38 [PATCH v2 00/17] WireGuard: Secure Network Tunnel Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 01/17] asm: simd context helper API Jason A. Donenfeld
2018-08-26 12:10   ` Thomas Gleixner
2018-08-26 13:45     ` Jason A. Donenfeld
2018-08-26 14:06       ` Thomas Gleixner
2018-08-26 14:18         ` Jason A. Donenfeld
2018-08-26 14:25           ` Andy Lutomirski
2018-08-26 14:18         ` Andy Lutomirski
2018-08-26 16:53           ` Rik van Riel
2018-09-01 20:19         ` Jason A. Donenfeld
2018-09-01 20:32           ` Andy Lutomirski
2018-09-01 20:34             ` Jason A. Donenfeld
2018-09-06 13:42               ` Thomas Gleixner
2018-09-06 15:52                 ` Jason A. Donenfeld
2018-08-27 19:50   ` Palmer Dabbelt
2018-08-27 19:50     ` Palmer Dabbelt
2018-08-24 21:38 ` [PATCH v2 02/17] zinc: introduce minimal cryptography library Jason A. Donenfeld
2018-08-25  6:29   ` Eric Biggers
2018-08-25 16:16     ` Andrew Lunn
2018-08-25 16:40     ` Jason A. Donenfeld
2018-08-25 17:26       ` Andrew Lunn
2018-08-26 15:59     ` Jason A. Donenfeld
2018-08-25 10:17   ` Ard Biesheuvel
2018-08-25 17:06     ` Jason A. Donenfeld
2018-08-25 17:17       ` Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 03/17] zinc: ChaCha20 generic C implementation Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 04/17] zinc: ChaCha20 ARM and ARM64 implementations Jason A. Donenfeld
2018-08-24 21:38   ` Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 05/17] zinc: ChaCha20 x86_64 implementation Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 06/17] zinc: ChaCha20 MIPS32r2 implementation Jason A. Donenfeld
2018-08-24 21:38 ` Jason A. Donenfeld [this message]
2018-08-24 21:38 ` [PATCH v2 08/17] zinc: Poly1305 ARM and ARM64 implementations Jason A. Donenfeld
2018-08-24 21:38   ` Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 09/17] zinc: Poly1305 x86_64 implementation Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 10/17] zinc: Poly1305 MIPS32r2 and MIPS64 implementations Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 11/17] zinc: ChaCha20Poly1305 construction and selftest Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 12/17] zinc: BLAKE2s generic C implementation " Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 13/17] zinc: BLAKE2s x86_64 implementation Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 14/17] zinc: Curve25519 generic C implementations and selftest Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 15/17] zinc: Curve25519 ARM implementation Jason A. Donenfeld
2018-08-24 21:38   ` Jason A. Donenfeld
2018-08-26 13:18   ` Ard Biesheuvel
2018-08-26 13:18     ` Ard Biesheuvel
2018-08-26 13:18     ` Ard Biesheuvel
2018-08-29  5:06     ` Jason A. Donenfeld
2018-08-29  5:06       ` Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 16/17] zinc: Curve25519 x86_64 implementation Jason A. Donenfeld
2018-08-24 21:38 ` [PATCH v2 17/17] net: WireGuard secure network tunnel Jason A. Donenfeld
2018-08-24 23:00   ` Andrew Lunn
2018-08-27 11:13   ` kbuild test robot
2018-08-27 12:52   ` kbuild test robot

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