[PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function

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* [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function
       [not found] <20191211102455.7b55218e@canb.auug.org.au>
@ 2019-12-11  9:26 ` Jason A. Donenfeld
  2019-12-11  9:26   ` [PATCH 2/2] crypto: curve25519 - re-add selftests Jason A. Donenfeld
                     ` (2 more replies)
  0 siblings, 3 replies; 7+ messages in thread
From: Jason A. Donenfeld @ 2019-12-11  9:26 UTC (permalink / raw)
  To: linux-crypto, herbert; +Cc: linux-kernel, netdev, sfr, Jason A. Donenfeld

Somehow this was forgotten when Zinc was being split into oddly shaped
pieces, resulting in linker errors. The x86_64 glue has a specific key
generation implementation, but the Arm one does not. However, it can
still receive the NEON speedups by calling the ordinary DH function
using the base point.

Signed-off-by: Jason A. Donenfeld <Jason@zx2c4.com>
---
 arch/arm/crypto/curve25519-glue.c | 7 +++++++
 1 file changed, 7 insertions(+)

diff --git a/arch/arm/crypto/curve25519-glue.c b/arch/arm/crypto/curve25519-glue.c
index f3f42cf3b893..776ae07e0469 100644
--- a/arch/arm/crypto/curve25519-glue.c
+++ b/arch/arm/crypto/curve25519-glue.c
@@ -38,6 +38,13 @@ void curve25519_arch(u8 out[CURVE25519_KEY_SIZE],
 }
 EXPORT_SYMBOL(curve25519_arch);
 
+void curve25519_base_arch(u8 pub[CURVE25519_KEY_SIZE],
+			  const u8 secret[CURVE25519_KEY_SIZE])
+{
+	return curve25519_arch(pub, secret, curve25519_base_point);
+}
+EXPORT_SYMBOL(curve25519_base_arch);
+
 static int curve25519_set_secret(struct crypto_kpp *tfm, const void *buf,
 				 unsigned int len)
 {
-- 
2.24.0


^ permalink raw reply related	[flat|nested] 7+ messages in thread

* [PATCH 2/2] crypto: curve25519 - re-add selftests
  2019-12-11  9:26 ` [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function Jason A. Donenfeld
@ 2019-12-11  9:26   ` Jason A. Donenfeld
  2019-12-11  9:38   ` [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function Ard Biesheuvel
  2019-12-12  6:08   ` Herbert Xu
  2 siblings, 0 replies; 7+ messages in thread
From: Jason A. Donenfeld @ 2019-12-11  9:26 UTC (permalink / raw)
  To: linux-crypto, herbert; +Cc: linux-kernel, netdev, sfr, Jason A. Donenfeld

Somehow these were dropped when Zinc was being pulled into pieces, which
is problematic. This commit simply adds them back and wires them in in
the same way that the blake2s selftests are wired in.

Signed-off-by: Jason A. Donenfeld <Jason@zx2c4.com>
---
 lib/crypto/Makefile              |    1 +
 lib/crypto/curve25519-selftest.c | 1321 ++++++++++++++++++++++++++++++
 lib/crypto/curve25519.c          |   17 +
 3 files changed, 1339 insertions(+)
 create mode 100644 lib/crypto/curve25519-selftest.c

diff --git a/lib/crypto/Makefile b/lib/crypto/Makefile
index 34a701ab8b92..f97f9b941110 100644
--- a/lib/crypto/Makefile
+++ b/lib/crypto/Makefile
@@ -36,4 +36,5 @@ libsha256-y					:= sha256.o
 ifneq ($(CONFIG_CRYPTO_MANAGER_DISABLE_TESTS),y)
 libblake2s-y					+= blake2s-selftest.o
 libchacha20poly1305-y				+= chacha20poly1305-selftest.o
+libcurve25519-y					+= curve25519-selftest.o
 endif
diff --git a/lib/crypto/curve25519-selftest.c b/lib/crypto/curve25519-selftest.c
new file mode 100644
index 000000000000..c85e85381e78
--- /dev/null
+++ b/lib/crypto/curve25519-selftest.c
@@ -0,0 +1,1321 @@
+// SPDX-License-Identifier: GPL-2.0 OR MIT
+/*
+ * Copyright (C) 2015-2019 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved.
+ */
+
+#include <crypto/curve25519.h>
+
+struct curve25519_test_vector {
+	u8 private[CURVE25519_KEY_SIZE];
+	u8 public[CURVE25519_KEY_SIZE];
+	u8 result[CURVE25519_KEY_SIZE];
+	bool valid;
+};
+static const struct curve25519_test_vector curve25519_test_vectors[] __initconst = {
+	{
+		.private = { 0x77, 0x07, 0x6d, 0x0a, 0x73, 0x18, 0xa5, 0x7d,
+			     0x3c, 0x16, 0xc1, 0x72, 0x51, 0xb2, 0x66, 0x45,
+			     0xdf, 0x4c, 0x2f, 0x87, 0xeb, 0xc0, 0x99, 0x2a,
+			     0xb1, 0x77, 0xfb, 0xa5, 0x1d, 0xb9, 0x2c, 0x2a },
+		.public = { 0xde, 0x9e, 0xdb, 0x7d, 0x7b, 0x7d, 0xc1, 0xb4,
+			    0xd3, 0x5b, 0x61, 0xc2, 0xec, 0xe4, 0x35, 0x37,
+			    0x3f, 0x83, 0x43, 0xc8, 0x5b, 0x78, 0x67, 0x4d,
+			    0xad, 0xfc, 0x7e, 0x14, 0x6f, 0x88, 0x2b, 0x4f },
+		.result = { 0x4a, 0x5d, 0x9d, 0x5b, 0xa4, 0xce, 0x2d, 0xe1,
+			    0x72, 0x8e, 0x3b, 0xf4, 0x80, 0x35, 0x0f, 0x25,
+			    0xe0, 0x7e, 0x21, 0xc9, 0x47, 0xd1, 0x9e, 0x33,
+			    0x76, 0xf0, 0x9b, 0x3c, 0x1e, 0x16, 0x17, 0x42 },
+		.valid = true
+	},
+	{
+		.private = { 0x5d, 0xab, 0x08, 0x7e, 0x62, 0x4a, 0x8a, 0x4b,
+			     0x79, 0xe1, 0x7f, 0x8b, 0x83, 0x80, 0x0e, 0xe6,
+			     0x6f, 0x3b, 0xb1, 0x29, 0x26, 0x18, 0xb6, 0xfd,
+			     0x1c, 0x2f, 0x8b, 0x27, 0xff, 0x88, 0xe0, 0xeb },
+		.public = { 0x85, 0x20, 0xf0, 0x09, 0x89, 0x30, 0xa7, 0x54,
+			    0x74, 0x8b, 0x7d, 0xdc, 0xb4, 0x3e, 0xf7, 0x5a,
+			    0x0d, 0xbf, 0x3a, 0x0d, 0x26, 0x38, 0x1a, 0xf4,
+			    0xeb, 0xa4, 0xa9, 0x8e, 0xaa, 0x9b, 0x4e, 0x6a },
+		.result = { 0x4a, 0x5d, 0x9d, 0x5b, 0xa4, 0xce, 0x2d, 0xe1,
+			    0x72, 0x8e, 0x3b, 0xf4, 0x80, 0x35, 0x0f, 0x25,
+			    0xe0, 0x7e, 0x21, 0xc9, 0x47, 0xd1, 0x9e, 0x33,
+			    0x76, 0xf0, 0x9b, 0x3c, 0x1e, 0x16, 0x17, 0x42 },
+		.valid = true
+	},
+	{
+		.private = { 1 },
+		.public = { 0x25, 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 },
+		.result = { 0x3c, 0x77, 0x77, 0xca, 0xf9, 0x97, 0xb2, 0x64,
+			    0x41, 0x60, 0x77, 0x66, 0x5b, 0x4e, 0x22, 0x9d,
+			    0x0b, 0x95, 0x48, 0xdc, 0x0c, 0xd8, 0x19, 0x98,
+			    0xdd, 0xcd, 0xc5, 0xc8, 0x53, 0x3c, 0x79, 0x7f },
+		.valid = true
+	},
+	{
+		.private = { 1 },
+		.public = { 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 },
+		.result = { 0xb3, 0x2d, 0x13, 0x62, 0xc2, 0x48, 0xd6, 0x2f,
+			    0xe6, 0x26, 0x19, 0xcf, 0xf0, 0x4d, 0xd4, 0x3d,
+			    0xb7, 0x3f, 0xfc, 0x1b, 0x63, 0x08, 0xed, 0xe3,
+			    0x0b, 0x78, 0xd8, 0x73, 0x80, 0xf1, 0xe8, 0x34 },
+		.valid = true
+	},
+	{
+		.private = { 0xa5, 0x46, 0xe3, 0x6b, 0xf0, 0x52, 0x7c, 0x9d,
+			     0x3b, 0x16, 0x15, 0x4b, 0x82, 0x46, 0x5e, 0xdd,
+			     0x62, 0x14, 0x4c, 0x0a, 0xc1, 0xfc, 0x5a, 0x18,
+			     0x50, 0x6a, 0x22, 0x44, 0xba, 0x44, 0x9a, 0xc4 },
+		.public = { 0xe6, 0xdb, 0x68, 0x67, 0x58, 0x30, 0x30, 0xdb,
+			    0x35, 0x94, 0xc1, 0xa4, 0x24, 0xb1, 0x5f, 0x7c,
+			    0x72, 0x66, 0x24, 0xec, 0x26, 0xb3, 0x35, 0x3b,
+			    0x10, 0xa9, 0x03, 0xa6, 0xd0, 0xab, 0x1c, 0x4c },
+		.result = { 0xc3, 0xda, 0x55, 0x37, 0x9d, 0xe9, 0xc6, 0x90,
+			    0x8e, 0x94, 0xea, 0x4d, 0xf2, 0x8d, 0x08, 0x4f,
+			    0x32, 0xec, 0xcf, 0x03, 0x49, 0x1c, 0x71, 0xf7,
+			    0x54, 0xb4, 0x07, 0x55, 0x77, 0xa2, 0x85, 0x52 },
+		.valid = true
+	},
+	{
+		.private = { 1, 2, 3, 4 },
+		.public = { 0 },
+		.result = { 0 },
+		.valid = false
+	},
+	{
+		.private = { 2, 4, 6, 8 },
+		.public = { 0xe0, 0xeb, 0x7a, 0x7c, 0x3b, 0x41, 0xb8, 0xae,
+			    0x16, 0x56, 0xe3, 0xfa, 0xf1, 0x9f, 0xc4, 0x6a,
+			    0xda, 0x09, 0x8d, 0xeb, 0x9c, 0x32, 0xb1, 0xfd,
+			    0x86, 0x62, 0x05, 0x16, 0x5f, 0x49, 0xb8 },
+		.result = { 0 },
+		.valid = false
+	},
+	{
+		.private = { 0xff, 0xff, 0xff, 0xff, 0x0a, 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 },
+		.public = { 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, 0x0a, 0x00, 0xfb, 0x9f },
+		.result = { 0x77, 0x52, 0xb6, 0x18, 0xc1, 0x2d, 0x48, 0xd2,
+			    0xc6, 0x93, 0x46, 0x83, 0x81, 0x7c, 0xc6, 0x57,
+			    0xf3, 0x31, 0x03, 0x19, 0x49, 0x48, 0x20, 0x05,
+			    0x42, 0x2b, 0x4e, 0xae, 0x8d, 0x1d, 0x43, 0x23 },
+		.valid = true
+	},
+	{
+		.private = { 0x8e, 0x0a, 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 },
+		.public = { 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, 0x8e, 0x06 },
+		.result = { 0x5a, 0xdf, 0xaa, 0x25, 0x86, 0x8e, 0x32, 0x3d,
+			    0xae, 0x49, 0x62, 0xc1, 0x01, 0x5c, 0xb3, 0x12,
+			    0xe1, 0xc5, 0xc7, 0x9e, 0x95, 0x3f, 0x03, 0x99,
+			    0xb0, 0xba, 0x16, 0x22, 0xf3, 0xb6, 0xf7, 0x0c },
+		.valid = true
+	},
+	/* wycheproof - normal case */
+	{
+		.private = { 0x48, 0x52, 0x83, 0x4d, 0x9d, 0x6b, 0x77, 0xda,
+			     0xde, 0xab, 0xaa, 0xf2, 0xe1, 0x1d, 0xca, 0x66,
+			     0xd1, 0x9f, 0xe7, 0x49, 0x93, 0xa7, 0xbe, 0xc3,
+			     0x6c, 0x6e, 0x16, 0xa0, 0x98, 0x3f, 0xea, 0xba },
+		.public = { 0x9c, 0x64, 0x7d, 0x9a, 0xe5, 0x89, 0xb9, 0xf5,
+			    0x8f, 0xdc, 0x3c, 0xa4, 0x94, 0x7e, 0xfb, 0xc9,
+			    0x15, 0xc4, 0xb2, 0xe0, 0x8e, 0x74, 0x4a, 0x0e,
+			    0xdf, 0x46, 0x9d, 0xac, 0x59, 0xc8, 0xf8, 0x5a },
+		.result = { 0x87, 0xb7, 0xf2, 0x12, 0xb6, 0x27, 0xf7, 0xa5,
+			    0x4c, 0xa5, 0xe0, 0xbc, 0xda, 0xdd, 0xd5, 0x38,
+			    0x9d, 0x9d, 0xe6, 0x15, 0x6c, 0xdb, 0xcf, 0x8e,
+			    0xbe, 0x14, 0xff, 0xbc, 0xfb, 0x43, 0x65, 0x51 },
+		.valid = true
+	},
+	/* wycheproof - public key on twist */
+	{
+		.private = { 0x58, 0x8c, 0x06, 0x1a, 0x50, 0x80, 0x4a, 0xc4,
+			     0x88, 0xad, 0x77, 0x4a, 0xc7, 0x16, 0xc3, 0xf5,
+			     0xba, 0x71, 0x4b, 0x27, 0x12, 0xe0, 0x48, 0x49,
+			     0x13, 0x79, 0xa5, 0x00, 0x21, 0x19, 0x98, 0xa8 },
+		.public = { 0x63, 0xaa, 0x40, 0xc6, 0xe3, 0x83, 0x46, 0xc5,
+			    0xca, 0xf2, 0x3a, 0x6d, 0xf0, 0xa5, 0xe6, 0xc8,
+			    0x08, 0x89, 0xa0, 0x86, 0x47, 0xe5, 0x51, 0xb3,
+			    0x56, 0x34, 0x49, 0xbe, 0xfc, 0xfc, 0x97, 0x33 },
+		.result = { 0xb1, 0xa7, 0x07, 0x51, 0x94, 0x95, 0xff, 0xff,
+			    0xb2, 0x98, 0xff, 0x94, 0x17, 0x16, 0xb0, 0x6d,
+			    0xfa, 0xb8, 0x7c, 0xf8, 0xd9, 0x11, 0x23, 0xfe,
+			    0x2b, 0xe9, 0xa2, 0x33, 0xdd, 0xa2, 0x22, 0x12 },
+		.valid = true
+	},
+	/* wycheproof - public key on twist */
+	{
+		.private = { 0xb0, 0x5b, 0xfd, 0x32, 0xe5, 0x53, 0x25, 0xd9,
+			     0xfd, 0x64, 0x8c, 0xb3, 0x02, 0x84, 0x80, 0x39,
+			     0x00, 0x0b, 0x39, 0x0e, 0x44, 0xd5, 0x21, 0xe5,
+			     0x8a, 0xab, 0x3b, 0x29, 0xa6, 0x96, 0x0b, 0xa8 },
+		.public = { 0x0f, 0x83, 0xc3, 0x6f, 0xde, 0xd9, 0xd3, 0x2f,
+			    0xad, 0xf4, 0xef, 0xa3, 0xae, 0x93, 0xa9, 0x0b,
+			    0xb5, 0xcf, 0xa6, 0x68, 0x93, 0xbc, 0x41, 0x2c,
+			    0x43, 0xfa, 0x72, 0x87, 0xdb, 0xb9, 0x97, 0x79 },
+		.result = { 0x67, 0xdd, 0x4a, 0x6e, 0x16, 0x55, 0x33, 0x53,
+			    0x4c, 0x0e, 0x3f, 0x17, 0x2e, 0x4a, 0xb8, 0x57,
+			    0x6b, 0xca, 0x92, 0x3a, 0x5f, 0x07, 0xb2, 0xc0,
+			    0x69, 0xb4, 0xc3, 0x10, 0xff, 0x2e, 0x93, 0x5b },
+		.valid = true
+	},
+	/* wycheproof - public key on twist */
+	{
+		.private = { 0x70, 0xe3, 0x4b, 0xcb, 0xe1, 0xf4, 0x7f, 0xbc,
+			     0x0f, 0xdd, 0xfd, 0x7c, 0x1e, 0x1a, 0xa5, 0x3d,
+			     0x57, 0xbf, 0xe0, 0xf6, 0x6d, 0x24, 0x30, 0x67,
+			     0xb4, 0x24, 0xbb, 0x62, 0x10, 0xbe, 0xd1, 0x9c },
+		.public = { 0x0b, 0x82, 0x11, 0xa2, 0xb6, 0x04, 0x90, 0x97,
+			    0xf6, 0x87, 0x1c, 0x6c, 0x05, 0x2d, 0x3c, 0x5f,
+			    0xc1, 0xba, 0x17, 0xda, 0x9e, 0x32, 0xae, 0x45,
+			    0x84, 0x03, 0xb0, 0x5b, 0xb2, 0x83, 0x09, 0x2a },
+		.result = { 0x4a, 0x06, 0x38, 0xcf, 0xaa, 0x9e, 0xf1, 0x93,
+			    0x3b, 0x47, 0xf8, 0x93, 0x92, 0x96, 0xa6, 0xb2,
+			    0x5b, 0xe5, 0x41, 0xef, 0x7f, 0x70, 0xe8, 0x44,
+			    0xc0, 0xbc, 0xc0, 0x0b, 0x13, 0x4d, 0xe6, 0x4a },
+		.valid = true
+	},
+	/* wycheproof - public key on twist */
+	{
+		.private = { 0x68, 0xc1, 0xf3, 0xa6, 0x53, 0xa4, 0xcd, 0xb1,
+			     0xd3, 0x7b, 0xba, 0x94, 0x73, 0x8f, 0x8b, 0x95,
+			     0x7a, 0x57, 0xbe, 0xb2, 0x4d, 0x64, 0x6e, 0x99,
+			     0x4d, 0xc2, 0x9a, 0x27, 0x6a, 0xad, 0x45, 0x8d },
+		.public = { 0x34, 0x3a, 0xc2, 0x0a, 0x3b, 0x9c, 0x6a, 0x27,
+			    0xb1, 0x00, 0x81, 0x76, 0x50, 0x9a, 0xd3, 0x07,
+			    0x35, 0x85, 0x6e, 0xc1, 0xc8, 0xd8, 0xfc, 0xae,
+			    0x13, 0x91, 0x2d, 0x08, 0xd1, 0x52, 0xf4, 0x6c },
+		.result = { 0x39, 0x94, 0x91, 0xfc, 0xe8, 0xdf, 0xab, 0x73,
+			    0xb4, 0xf9, 0xf6, 0x11, 0xde, 0x8e, 0xa0, 0xb2,
+			    0x7b, 0x28, 0xf8, 0x59, 0x94, 0x25, 0x0b, 0x0f,
+			    0x47, 0x5d, 0x58, 0x5d, 0x04, 0x2a, 0xc2, 0x07 },
+		.valid = true
+	},
+	/* wycheproof - public key on twist */
+	{
+		.private = { 0xd8, 0x77, 0xb2, 0x6d, 0x06, 0xdf, 0xf9, 0xd9,
+			     0xf7, 0xfd, 0x4c, 0x5b, 0x37, 0x69, 0xf8, 0xcd,
+			     0xd5, 0xb3, 0x05, 0x16, 0xa5, 0xab, 0x80, 0x6b,
+			     0xe3, 0x24, 0xff, 0x3e, 0xb6, 0x9e, 0xa0, 0xb2 },
+		.public = { 0xfa, 0x69, 0x5f, 0xc7, 0xbe, 0x8d, 0x1b, 0xe5,
+			    0xbf, 0x70, 0x48, 0x98, 0xf3, 0x88, 0xc4, 0x52,
+			    0xba, 0xfd, 0xd3, 0xb8, 0xea, 0xe8, 0x05, 0xf8,
+			    0x68, 0x1a, 0x8d, 0x15, 0xc2, 0xd4, 0xe1, 0x42 },
+		.result = { 0x2c, 0x4f, 0xe1, 0x1d, 0x49, 0x0a, 0x53, 0x86,
+			    0x17, 0x76, 0xb1, 0x3b, 0x43, 0x54, 0xab, 0xd4,
+			    0xcf, 0x5a, 0x97, 0x69, 0x9d, 0xb6, 0xe6, 0xc6,
+			    0x8c, 0x16, 0x26, 0xd0, 0x76, 0x62, 0xf7, 0x58 },
+		.valid = true
+	},
+	/* wycheproof - public key = 0 */
+	{
+		.private = { 0x20, 0x74, 0x94, 0x03, 0x8f, 0x2b, 0xb8, 0x11,
+			     0xd4, 0x78, 0x05, 0xbc, 0xdf, 0x04, 0xa2, 0xac,
+			     0x58, 0x5a, 0xda, 0x7f, 0x2f, 0x23, 0x38, 0x9b,
+			     0xfd, 0x46, 0x58, 0xf9, 0xdd, 0xd4, 0xde, 0xbc },
+		.public = { 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 },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key = 1 */
+	{
+		.private = { 0x20, 0x2e, 0x89, 0x72, 0xb6, 0x1c, 0x7e, 0x61,
+			     0x93, 0x0e, 0xb9, 0x45, 0x0b, 0x50, 0x70, 0xea,
+			     0xe1, 0xc6, 0x70, 0x47, 0x56, 0x85, 0x54, 0x1f,
+			     0x04, 0x76, 0x21, 0x7e, 0x48, 0x18, 0xcf, 0xab },
+		.public = { 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 },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - edge case on twist */
+	{
+		.private = { 0x38, 0xdd, 0xe9, 0xf3, 0xe7, 0xb7, 0x99, 0x04,
+			     0x5f, 0x9a, 0xc3, 0x79, 0x3d, 0x4a, 0x92, 0x77,
+			     0xda, 0xde, 0xad, 0xc4, 0x1b, 0xec, 0x02, 0x90,
+			     0xf8, 0x1f, 0x74, 0x4f, 0x73, 0x77, 0x5f, 0x84 },
+		.public = { 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 },
+		.result = { 0x9a, 0x2c, 0xfe, 0x84, 0xff, 0x9c, 0x4a, 0x97,
+			    0x39, 0x62, 0x5c, 0xae, 0x4a, 0x3b, 0x82, 0xa9,
+			    0x06, 0x87, 0x7a, 0x44, 0x19, 0x46, 0xf8, 0xd7,
+			    0xb3, 0xd7, 0x95, 0xfe, 0x8f, 0x5d, 0x16, 0x39 },
+		.valid = true
+	},
+	/* wycheproof - edge case on twist */
+	{
+		.private = { 0x98, 0x57, 0xa9, 0x14, 0xe3, 0xc2, 0x90, 0x36,
+			     0xfd, 0x9a, 0x44, 0x2b, 0xa5, 0x26, 0xb5, 0xcd,
+			     0xcd, 0xf2, 0x82, 0x16, 0x15, 0x3e, 0x63, 0x6c,
+			     0x10, 0x67, 0x7a, 0xca, 0xb6, 0xbd, 0x6a, 0xa5 },
+		.public = { 0x03, 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 },
+		.result = { 0x4d, 0xa4, 0xe0, 0xaa, 0x07, 0x2c, 0x23, 0x2e,
+			    0xe2, 0xf0, 0xfa, 0x4e, 0x51, 0x9a, 0xe5, 0x0b,
+			    0x52, 0xc1, 0xed, 0xd0, 0x8a, 0x53, 0x4d, 0x4e,
+			    0xf3, 0x46, 0xc2, 0xe1, 0x06, 0xd2, 0x1d, 0x60 },
+		.valid = true
+	},
+	/* wycheproof - edge case on twist */
+	{
+		.private = { 0x48, 0xe2, 0x13, 0x0d, 0x72, 0x33, 0x05, 0xed,
+			     0x05, 0xe6, 0xe5, 0x89, 0x4d, 0x39, 0x8a, 0x5e,
+			     0x33, 0x36, 0x7a, 0x8c, 0x6a, 0xac, 0x8f, 0xcd,
+			     0xf0, 0xa8, 0x8e, 0x4b, 0x42, 0x82, 0x0d, 0xb7 },
+		.public = { 0xff, 0xff, 0xff, 0x03, 0x00, 0x00, 0xf8, 0xff,
+			    0xff, 0x1f, 0x00, 0x00, 0xc0, 0xff, 0xff, 0xff,
+			    0x00, 0x00, 0x00, 0xfe, 0xff, 0xff, 0x07, 0x00,
+			    0x00, 0xf0, 0xff, 0xff, 0x3f, 0x00, 0x00, 0x00 },
+		.result = { 0x9e, 0xd1, 0x0c, 0x53, 0x74, 0x7f, 0x64, 0x7f,
+			    0x82, 0xf4, 0x51, 0x25, 0xd3, 0xde, 0x15, 0xa1,
+			    0xe6, 0xb8, 0x24, 0x49, 0x6a, 0xb4, 0x04, 0x10,
+			    0xff, 0xcc, 0x3c, 0xfe, 0x95, 0x76, 0x0f, 0x3b },
+		.valid = true
+	},
+	/* wycheproof - edge case on twist */
+	{
+		.private = { 0x28, 0xf4, 0x10, 0x11, 0x69, 0x18, 0x51, 0xb3,
+			     0xa6, 0x2b, 0x64, 0x15, 0x53, 0xb3, 0x0d, 0x0d,
+			     0xfd, 0xdc, 0xb8, 0xff, 0xfc, 0xf5, 0x37, 0x00,
+			     0xa7, 0xbe, 0x2f, 0x6a, 0x87, 0x2e, 0x9f, 0xb0 },
+		.public = { 0x00, 0x00, 0x00, 0xfc, 0xff, 0xff, 0x07, 0x00,
+			    0x00, 0xe0, 0xff, 0xff, 0x3f, 0x00, 0x00, 0x00,
+			    0xff, 0xff, 0xff, 0x01, 0x00, 0x00, 0xf8, 0xff,
+			    0xff, 0x0f, 0x00, 0x00, 0xc0, 0xff, 0xff, 0x7f },
+		.result = { 0xcf, 0x72, 0xb4, 0xaa, 0x6a, 0xa1, 0xc9, 0xf8,
+			    0x94, 0xf4, 0x16, 0x5b, 0x86, 0x10, 0x9a, 0xa4,
+			    0x68, 0x51, 0x76, 0x48, 0xe1, 0xf0, 0xcc, 0x70,
+			    0xe1, 0xab, 0x08, 0x46, 0x01, 0x76, 0x50, 0x6b },
+		.valid = true
+	},
+	/* wycheproof - edge case on twist */
+	{
+		.private = { 0x18, 0xa9, 0x3b, 0x64, 0x99, 0xb9, 0xf6, 0xb3,
+			     0x22, 0x5c, 0xa0, 0x2f, 0xef, 0x41, 0x0e, 0x0a,
+			     0xde, 0xc2, 0x35, 0x32, 0x32, 0x1d, 0x2d, 0x8e,
+			     0xf1, 0xa6, 0xd6, 0x02, 0xa8, 0xc6, 0x5b, 0x83 },
+		.public = { 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
+			    0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
+			    0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
+			    0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0x7f },
+		.result = { 0x5d, 0x50, 0xb6, 0x28, 0x36, 0xbb, 0x69, 0x57,
+			    0x94, 0x10, 0x38, 0x6c, 0xf7, 0xbb, 0x81, 0x1c,
+			    0x14, 0xbf, 0x85, 0xb1, 0xc7, 0xb1, 0x7e, 0x59,
+			    0x24, 0xc7, 0xff, 0xea, 0x91, 0xef, 0x9e, 0x12 },
+		.valid = true
+	},
+	/* wycheproof - edge case on twist */
+	{
+		.private = { 0xc0, 0x1d, 0x13, 0x05, 0xa1, 0x33, 0x8a, 0x1f,
+			     0xca, 0xc2, 0xba, 0x7e, 0x2e, 0x03, 0x2b, 0x42,
+			     0x7e, 0x0b, 0x04, 0x90, 0x31, 0x65, 0xac, 0xa9,
+			     0x57, 0xd8, 0xd0, 0x55, 0x3d, 0x87, 0x17, 0xb0 },
+		.public = { 0xea, 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, 0x7f },
+		.result = { 0x19, 0x23, 0x0e, 0xb1, 0x48, 0xd5, 0xd6, 0x7c,
+			    0x3c, 0x22, 0xab, 0x1d, 0xae, 0xff, 0x80, 0xa5,
+			    0x7e, 0xae, 0x42, 0x65, 0xce, 0x28, 0x72, 0x65,
+			    0x7b, 0x2c, 0x80, 0x99, 0xfc, 0x69, 0x8e, 0x50 },
+		.valid = true
+	},
+	/* wycheproof - edge case for public key */
+	{
+		.private = { 0x38, 0x6f, 0x7f, 0x16, 0xc5, 0x07, 0x31, 0xd6,
+			     0x4f, 0x82, 0xe6, 0xa1, 0x70, 0xb1, 0x42, 0xa4,
+			     0xe3, 0x4f, 0x31, 0xfd, 0x77, 0x68, 0xfc, 0xb8,
+			     0x90, 0x29, 0x25, 0xe7, 0xd1, 0xe2, 0x1a, 0xbe },
+		.public = { 0x04, 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 },
+		.result = { 0x0f, 0xca, 0xb5, 0xd8, 0x42, 0xa0, 0x78, 0xd7,
+			    0xa7, 0x1f, 0xc5, 0x9b, 0x57, 0xbf, 0xb4, 0xca,
+			    0x0b, 0xe6, 0x87, 0x3b, 0x49, 0xdc, 0xdb, 0x9f,
+			    0x44, 0xe1, 0x4a, 0xe8, 0xfb, 0xdf, 0xa5, 0x42 },
+		.valid = true
+	},
+	/* wycheproof - edge case for public key */
+	{
+		.private = { 0xe0, 0x23, 0xa2, 0x89, 0xbd, 0x5e, 0x90, 0xfa,
+			     0x28, 0x04, 0xdd, 0xc0, 0x19, 0xa0, 0x5e, 0xf3,
+			     0xe7, 0x9d, 0x43, 0x4b, 0xb6, 0xea, 0x2f, 0x52,
+			     0x2e, 0xcb, 0x64, 0x3a, 0x75, 0x29, 0x6e, 0x95 },
+		.public = { 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
+			    0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
+			    0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
+			    0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00 },
+		.result = { 0x54, 0xce, 0x8f, 0x22, 0x75, 0xc0, 0x77, 0xe3,
+			    0xb1, 0x30, 0x6a, 0x39, 0x39, 0xc5, 0xe0, 0x3e,
+			    0xef, 0x6b, 0xbb, 0x88, 0x06, 0x05, 0x44, 0x75,
+			    0x8d, 0x9f, 0xef, 0x59, 0xb0, 0xbc, 0x3e, 0x4f },
+		.valid = true
+	},
+	/* wycheproof - edge case for public key */
+	{
+		.private = { 0x68, 0xf0, 0x10, 0xd6, 0x2e, 0xe8, 0xd9, 0x26,
+			     0x05, 0x3a, 0x36, 0x1c, 0x3a, 0x75, 0xc6, 0xea,
+			     0x4e, 0xbd, 0xc8, 0x60, 0x6a, 0xb2, 0x85, 0x00,
+			     0x3a, 0x6f, 0x8f, 0x40, 0x76, 0xb0, 0x1e, 0x83 },
+		.public = { 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, 0x03 },
+		.result = { 0xf1, 0x36, 0x77, 0x5c, 0x5b, 0xeb, 0x0a, 0xf8,
+			    0x11, 0x0a, 0xf1, 0x0b, 0x20, 0x37, 0x23, 0x32,
+			    0x04, 0x3c, 0xab, 0x75, 0x24, 0x19, 0x67, 0x87,
+			    0x75, 0xa2, 0x23, 0xdf, 0x57, 0xc9, 0xd3, 0x0d },
+		.valid = true
+	},
+	/* wycheproof - edge case for public key */
+	{
+		.private = { 0x58, 0xeb, 0xcb, 0x35, 0xb0, 0xf8, 0x84, 0x5c,
+			     0xaf, 0x1e, 0xc6, 0x30, 0xf9, 0x65, 0x76, 0xb6,
+			     0x2c, 0x4b, 0x7b, 0x6c, 0x36, 0xb2, 0x9d, 0xeb,
+			     0x2c, 0xb0, 0x08, 0x46, 0x51, 0x75, 0x5c, 0x96 },
+		.public = { 0xff, 0xff, 0xff, 0xfb, 0xff, 0xff, 0xfb, 0xff,
+			    0xff, 0xdf, 0xff, 0xff, 0xdf, 0xff, 0xff, 0xff,
+			    0xfe, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xf7, 0xff,
+			    0xff, 0xf7, 0xff, 0xff, 0xbf, 0xff, 0xff, 0x3f },
+		.result = { 0xbf, 0x9a, 0xff, 0xd0, 0x6b, 0x84, 0x40, 0x85,
+			    0x58, 0x64, 0x60, 0x96, 0x2e, 0xf2, 0x14, 0x6f,
+			    0xf3, 0xd4, 0x53, 0x3d, 0x94, 0x44, 0xaa, 0xb0,
+			    0x06, 0xeb, 0x88, 0xcc, 0x30, 0x54, 0x40, 0x7d },
+		.valid = true
+	},
+	/* wycheproof - edge case for public key */
+	{
+		.private = { 0x18, 0x8c, 0x4b, 0xc5, 0xb9, 0xc4, 0x4b, 0x38,
+			     0xbb, 0x65, 0x8b, 0x9b, 0x2a, 0xe8, 0x2d, 0x5b,
+			     0x01, 0x01, 0x5e, 0x09, 0x31, 0x84, 0xb1, 0x7c,
+			     0xb7, 0x86, 0x35, 0x03, 0xa7, 0x83, 0xe1, 0xbb },
+		.public = { 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, 0x3f },
+		.result = { 0xd4, 0x80, 0xde, 0x04, 0xf6, 0x99, 0xcb, 0x3b,
+			    0xe0, 0x68, 0x4a, 0x9c, 0xc2, 0xe3, 0x12, 0x81,
+			    0xea, 0x0b, 0xc5, 0xa9, 0xdc, 0xc1, 0x57, 0xd3,
+			    0xd2, 0x01, 0x58, 0xd4, 0x6c, 0xa5, 0x24, 0x6d },
+		.valid = true
+	},
+	/* wycheproof - edge case for public key */
+	{
+		.private = { 0xe0, 0x6c, 0x11, 0xbb, 0x2e, 0x13, 0xce, 0x3d,
+			     0xc7, 0x67, 0x3f, 0x67, 0xf5, 0x48, 0x22, 0x42,
+			     0x90, 0x94, 0x23, 0xa9, 0xae, 0x95, 0xee, 0x98,
+			     0x6a, 0x98, 0x8d, 0x98, 0xfa, 0xee, 0x23, 0xa2 },
+		.public = { 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0x7f,
+			    0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0x7f,
+			    0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0x7f,
+			    0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0x7f },
+		.result = { 0x4c, 0x44, 0x01, 0xcc, 0xe6, 0xb5, 0x1e, 0x4c,
+			    0xb1, 0x8f, 0x27, 0x90, 0x24, 0x6c, 0x9b, 0xf9,
+			    0x14, 0xdb, 0x66, 0x77, 0x50, 0xa1, 0xcb, 0x89,
+			    0x06, 0x90, 0x92, 0xaf, 0x07, 0x29, 0x22, 0x76 },
+		.valid = true
+	},
+	/* wycheproof - edge case for public key */
+	{
+		.private = { 0xc0, 0x65, 0x8c, 0x46, 0xdd, 0xe1, 0x81, 0x29,
+			     0x29, 0x38, 0x77, 0x53, 0x5b, 0x11, 0x62, 0xb6,
+			     0xf9, 0xf5, 0x41, 0x4a, 0x23, 0xcf, 0x4d, 0x2c,
+			     0xbc, 0x14, 0x0a, 0x4d, 0x99, 0xda, 0x2b, 0x8f },
+		.public = { 0xeb, 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, 0x7f },
+		.result = { 0x57, 0x8b, 0xa8, 0xcc, 0x2d, 0xbd, 0xc5, 0x75,
+			    0xaf, 0xcf, 0x9d, 0xf2, 0xb3, 0xee, 0x61, 0x89,
+			    0xf5, 0x33, 0x7d, 0x68, 0x54, 0xc7, 0x9b, 0x4c,
+			    0xe1, 0x65, 0xea, 0x12, 0x29, 0x3b, 0x3a, 0x0f },
+		.valid = true
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0x10, 0x25, 0x5c, 0x92, 0x30, 0xa9, 0x7a, 0x30,
+			     0xa4, 0x58, 0xca, 0x28, 0x4a, 0x62, 0x96, 0x69,
+			     0x29, 0x3a, 0x31, 0x89, 0x0c, 0xda, 0x9d, 0x14,
+			     0x7f, 0xeb, 0xc7, 0xd1, 0xe2, 0x2d, 0x6b, 0xb1 },
+		.public = { 0xe0, 0xeb, 0x7a, 0x7c, 0x3b, 0x41, 0xb8, 0xae,
+			    0x16, 0x56, 0xe3, 0xfa, 0xf1, 0x9f, 0xc4, 0x6a,
+			    0xda, 0x09, 0x8d, 0xeb, 0x9c, 0x32, 0xb1, 0xfd,
+			    0x86, 0x62, 0x05, 0x16, 0x5f, 0x49, 0xb8, 0x00 },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0x78, 0xf1, 0xe8, 0xed, 0xf1, 0x44, 0x81, 0xb3,
+			     0x89, 0x44, 0x8d, 0xac, 0x8f, 0x59, 0xc7, 0x0b,
+			     0x03, 0x8e, 0x7c, 0xf9, 0x2e, 0xf2, 0xc7, 0xef,
+			     0xf5, 0x7a, 0x72, 0x46, 0x6e, 0x11, 0x52, 0x96 },
+		.public = { 0x5f, 0x9c, 0x95, 0xbc, 0xa3, 0x50, 0x8c, 0x24,
+			    0xb1, 0xd0, 0xb1, 0x55, 0x9c, 0x83, 0xef, 0x5b,
+			    0x04, 0x44, 0x5c, 0xc4, 0x58, 0x1c, 0x8e, 0x86,
+			    0xd8, 0x22, 0x4e, 0xdd, 0xd0, 0x9f, 0x11, 0x57 },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0xa0, 0xa0, 0x5a, 0x3e, 0x8f, 0x9f, 0x44, 0x20,
+			     0x4d, 0x5f, 0x80, 0x59, 0xa9, 0x4a, 0xc7, 0xdf,
+			     0xc3, 0x9a, 0x49, 0xac, 0x01, 0x6d, 0xd7, 0x43,
+			     0xdb, 0xfa, 0x43, 0xc5, 0xd6, 0x71, 0xfd, 0x88 },
+		.public = { 0xec, 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, 0x7f },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0xd0, 0xdb, 0xb3, 0xed, 0x19, 0x06, 0x66, 0x3f,
+			     0x15, 0x42, 0x0a, 0xf3, 0x1f, 0x4e, 0xaf, 0x65,
+			     0x09, 0xd9, 0xa9, 0x94, 0x97, 0x23, 0x50, 0x06,
+			     0x05, 0xad, 0x7c, 0x1c, 0x6e, 0x74, 0x50, 0xa9 },
+		.public = { 0xed, 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, 0x7f },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0xc0, 0xb1, 0xd0, 0xeb, 0x22, 0xb2, 0x44, 0xfe,
+			     0x32, 0x91, 0x14, 0x00, 0x72, 0xcd, 0xd9, 0xd9,
+			     0x89, 0xb5, 0xf0, 0xec, 0xd9, 0x6c, 0x10, 0x0f,
+			     0xeb, 0x5b, 0xca, 0x24, 0x1c, 0x1d, 0x9f, 0x8f },
+		.public = { 0xee, 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, 0x7f },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0x48, 0x0b, 0xf4, 0x5f, 0x59, 0x49, 0x42, 0xa8,
+			     0xbc, 0x0f, 0x33, 0x53, 0xc6, 0xe8, 0xb8, 0x85,
+			     0x3d, 0x77, 0xf3, 0x51, 0xf1, 0xc2, 0xca, 0x6c,
+			     0x2d, 0x1a, 0xbf, 0x8a, 0x00, 0xb4, 0x22, 0x9c },
+		.public = { 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, 0x80 },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0x30, 0xf9, 0x93, 0xfc, 0xf8, 0x51, 0x4f, 0xc8,
+			     0x9b, 0xd8, 0xdb, 0x14, 0xcd, 0x43, 0xba, 0x0d,
+			     0x4b, 0x25, 0x30, 0xe7, 0x3c, 0x42, 0x76, 0xa0,
+			     0x5e, 0x1b, 0x14, 0x5d, 0x42, 0x0c, 0xed, 0xb4 },
+		.public = { 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, 0x80 },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0xc0, 0x49, 0x74, 0xb7, 0x58, 0x38, 0x0e, 0x2a,
+			     0x5b, 0x5d, 0xf6, 0xeb, 0x09, 0xbb, 0x2f, 0x6b,
+			     0x34, 0x34, 0xf9, 0x82, 0x72, 0x2a, 0x8e, 0x67,
+			     0x6d, 0x3d, 0xa2, 0x51, 0xd1, 0xb3, 0xde, 0x83 },
+		.public = { 0xe0, 0xeb, 0x7a, 0x7c, 0x3b, 0x41, 0xb8, 0xae,
+			    0x16, 0x56, 0xe3, 0xfa, 0xf1, 0x9f, 0xc4, 0x6a,
+			    0xda, 0x09, 0x8d, 0xeb, 0x9c, 0x32, 0xb1, 0xfd,
+			    0x86, 0x62, 0x05, 0x16, 0x5f, 0x49, 0xb8, 0x80 },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0x50, 0x2a, 0x31, 0x37, 0x3d, 0xb3, 0x24, 0x46,
+			     0x84, 0x2f, 0xe5, 0xad, 0xd3, 0xe0, 0x24, 0x02,
+			     0x2e, 0xa5, 0x4f, 0x27, 0x41, 0x82, 0xaf, 0xc3,
+			     0xd9, 0xf1, 0xbb, 0x3d, 0x39, 0x53, 0x4e, 0xb5 },
+		.public = { 0x5f, 0x9c, 0x95, 0xbc, 0xa3, 0x50, 0x8c, 0x24,
+			    0xb1, 0xd0, 0xb1, 0x55, 0x9c, 0x83, 0xef, 0x5b,
+			    0x04, 0x44, 0x5c, 0xc4, 0x58, 0x1c, 0x8e, 0x86,
+			    0xd8, 0x22, 0x4e, 0xdd, 0xd0, 0x9f, 0x11, 0xd7 },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0x90, 0xfa, 0x64, 0x17, 0xb0, 0xe3, 0x70, 0x30,
+			     0xfd, 0x6e, 0x43, 0xef, 0xf2, 0xab, 0xae, 0xf1,
+			     0x4c, 0x67, 0x93, 0x11, 0x7a, 0x03, 0x9c, 0xf6,
+			     0x21, 0x31, 0x8b, 0xa9, 0x0f, 0x4e, 0x98, 0xbe },
+		.public = { 0xec, 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 },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0x78, 0xad, 0x3f, 0x26, 0x02, 0x7f, 0x1c, 0x9f,
+			     0xdd, 0x97, 0x5a, 0x16, 0x13, 0xb9, 0x47, 0x77,
+			     0x9b, 0xad, 0x2c, 0xf2, 0xb7, 0x41, 0xad, 0xe0,
+			     0x18, 0x40, 0x88, 0x5a, 0x30, 0xbb, 0x97, 0x9c },
+		.public = { 0xed, 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 },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key with low order */
+	{
+		.private = { 0x98, 0xe2, 0x3d, 0xe7, 0xb1, 0xe0, 0x92, 0x6e,
+			     0xd9, 0xc8, 0x7e, 0x7b, 0x14, 0xba, 0xf5, 0x5f,
+			     0x49, 0x7a, 0x1d, 0x70, 0x96, 0xf9, 0x39, 0x77,
+			     0x68, 0x0e, 0x44, 0xdc, 0x1c, 0x7b, 0x7b, 0x8b },
+		.public = { 0xee, 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 },
+		.result = { 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 },
+		.valid = false
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0xf0, 0x1e, 0x48, 0xda, 0xfa, 0xc9, 0xd7, 0xbc,
+			     0xf5, 0x89, 0xcb, 0xc3, 0x82, 0xc8, 0x78, 0xd1,
+			     0x8b, 0xda, 0x35, 0x50, 0x58, 0x9f, 0xfb, 0x5d,
+			     0x50, 0xb5, 0x23, 0xbe, 0xbe, 0x32, 0x9d, 0xae },
+		.public = { 0xef, 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, 0x7f },
+		.result = { 0xbd, 0x36, 0xa0, 0x79, 0x0e, 0xb8, 0x83, 0x09,
+			    0x8c, 0x98, 0x8b, 0x21, 0x78, 0x67, 0x73, 0xde,
+			    0x0b, 0x3a, 0x4d, 0xf1, 0x62, 0x28, 0x2c, 0xf1,
+			    0x10, 0xde, 0x18, 0xdd, 0x48, 0x4c, 0xe7, 0x4b },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0x28, 0x87, 0x96, 0xbc, 0x5a, 0xff, 0x4b, 0x81,
+			     0xa3, 0x75, 0x01, 0x75, 0x7b, 0xc0, 0x75, 0x3a,
+			     0x3c, 0x21, 0x96, 0x47, 0x90, 0xd3, 0x86, 0x99,
+			     0x30, 0x8d, 0xeb, 0xc1, 0x7a, 0x6e, 0xaf, 0x8d },
+		.public = { 0xf0, 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, 0x7f },
+		.result = { 0xb4, 0xe0, 0xdd, 0x76, 0xda, 0x7b, 0x07, 0x17,
+			    0x28, 0xb6, 0x1f, 0x85, 0x67, 0x71, 0xaa, 0x35,
+			    0x6e, 0x57, 0xed, 0xa7, 0x8a, 0x5b, 0x16, 0x55,
+			    0xcc, 0x38, 0x20, 0xfb, 0x5f, 0x85, 0x4c, 0x5c },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0x98, 0xdf, 0x84, 0x5f, 0x66, 0x51, 0xbf, 0x11,
+			     0x38, 0x22, 0x1f, 0x11, 0x90, 0x41, 0xf7, 0x2b,
+			     0x6d, 0xbc, 0x3c, 0x4a, 0xce, 0x71, 0x43, 0xd9,
+			     0x9f, 0xd5, 0x5a, 0xd8, 0x67, 0x48, 0x0d, 0xa8 },
+		.public = { 0xf1, 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, 0x7f },
+		.result = { 0x6f, 0xdf, 0x6c, 0x37, 0x61, 0x1d, 0xbd, 0x53,
+			    0x04, 0xdc, 0x0f, 0x2e, 0xb7, 0xc9, 0x51, 0x7e,
+			    0xb3, 0xc5, 0x0e, 0x12, 0xfd, 0x05, 0x0a, 0xc6,
+			    0xde, 0xc2, 0x70, 0x71, 0xd4, 0xbf, 0xc0, 0x34 },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0xf0, 0x94, 0x98, 0xe4, 0x6f, 0x02, 0xf8, 0x78,
+			     0x82, 0x9e, 0x78, 0xb8, 0x03, 0xd3, 0x16, 0xa2,
+			     0xed, 0x69, 0x5d, 0x04, 0x98, 0xa0, 0x8a, 0xbd,
+			     0xf8, 0x27, 0x69, 0x30, 0xe2, 0x4e, 0xdc, 0xb0 },
+		.public = { 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, 0x7f },
+		.result = { 0x4c, 0x8f, 0xc4, 0xb1, 0xc6, 0xab, 0x88, 0xfb,
+			    0x21, 0xf1, 0x8f, 0x6d, 0x4c, 0x81, 0x02, 0x40,
+			    0xd4, 0xe9, 0x46, 0x51, 0xba, 0x44, 0xf7, 0xa2,
+			    0xc8, 0x63, 0xce, 0xc7, 0xdc, 0x56, 0x60, 0x2d },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0x18, 0x13, 0xc1, 0x0a, 0x5c, 0x7f, 0x21, 0xf9,
+			     0x6e, 0x17, 0xf2, 0x88, 0xc0, 0xcc, 0x37, 0x60,
+			     0x7c, 0x04, 0xc5, 0xf5, 0xae, 0xa2, 0xdb, 0x13,
+			     0x4f, 0x9e, 0x2f, 0xfc, 0x66, 0xbd, 0x9d, 0xb8 },
+		.public = { 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, 0x80 },
+		.result = { 0x1c, 0xd0, 0xb2, 0x82, 0x67, 0xdc, 0x54, 0x1c,
+			    0x64, 0x2d, 0x6d, 0x7d, 0xca, 0x44, 0xa8, 0xb3,
+			    0x8a, 0x63, 0x73, 0x6e, 0xef, 0x5c, 0x4e, 0x65,
+			    0x01, 0xff, 0xbb, 0xb1, 0x78, 0x0c, 0x03, 0x3c },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0x78, 0x57, 0xfb, 0x80, 0x86, 0x53, 0x64, 0x5a,
+			     0x0b, 0xeb, 0x13, 0x8a, 0x64, 0xf5, 0xf4, 0xd7,
+			     0x33, 0xa4, 0x5e, 0xa8, 0x4c, 0x3c, 0xda, 0x11,
+			     0xa9, 0xc0, 0x6f, 0x7e, 0x71, 0x39, 0x14, 0x9e },
+		.public = { 0x03, 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, 0x80 },
+		.result = { 0x87, 0x55, 0xbe, 0x01, 0xc6, 0x0a, 0x7e, 0x82,
+			    0x5c, 0xff, 0x3e, 0x0e, 0x78, 0xcb, 0x3a, 0xa4,
+			    0x33, 0x38, 0x61, 0x51, 0x6a, 0xa5, 0x9b, 0x1c,
+			    0x51, 0xa8, 0xb2, 0xa5, 0x43, 0xdf, 0xa8, 0x22 },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0xe0, 0x3a, 0xa8, 0x42, 0xe2, 0xab, 0xc5, 0x6e,
+			     0x81, 0xe8, 0x7b, 0x8b, 0x9f, 0x41, 0x7b, 0x2a,
+			     0x1e, 0x59, 0x13, 0xc7, 0x23, 0xee, 0xd2, 0x8d,
+			     0x75, 0x2f, 0x8d, 0x47, 0xa5, 0x9f, 0x49, 0x8f },
+		.public = { 0x04, 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, 0x80 },
+		.result = { 0x54, 0xc9, 0xa1, 0xed, 0x95, 0xe5, 0x46, 0xd2,
+			    0x78, 0x22, 0xa3, 0x60, 0x93, 0x1d, 0xda, 0x60,
+			    0xa1, 0xdf, 0x04, 0x9d, 0xa6, 0xf9, 0x04, 0x25,
+			    0x3c, 0x06, 0x12, 0xbb, 0xdc, 0x08, 0x74, 0x76 },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0xf8, 0xf7, 0x07, 0xb7, 0x99, 0x9b, 0x18, 0xcb,
+			     0x0d, 0x6b, 0x96, 0x12, 0x4f, 0x20, 0x45, 0x97,
+			     0x2c, 0xa2, 0x74, 0xbf, 0xc1, 0x54, 0xad, 0x0c,
+			     0x87, 0x03, 0x8c, 0x24, 0xc6, 0xd0, 0xd4, 0xb2 },
+		.public = { 0xda, 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 },
+		.result = { 0xcc, 0x1f, 0x40, 0xd7, 0x43, 0xcd, 0xc2, 0x23,
+			    0x0e, 0x10, 0x43, 0xda, 0xba, 0x8b, 0x75, 0xe8,
+			    0x10, 0xf1, 0xfb, 0xab, 0x7f, 0x25, 0x52, 0x69,
+			    0xbd, 0x9e, 0xbb, 0x29, 0xe6, 0xbf, 0x49, 0x4f },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0xa0, 0x34, 0xf6, 0x84, 0xfa, 0x63, 0x1e, 0x1a,
+			     0x34, 0x81, 0x18, 0xc1, 0xce, 0x4c, 0x98, 0x23,
+			     0x1f, 0x2d, 0x9e, 0xec, 0x9b, 0xa5, 0x36, 0x5b,
+			     0x4a, 0x05, 0xd6, 0x9a, 0x78, 0x5b, 0x07, 0x96 },
+		.public = { 0xdb, 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 },
+		.result = { 0x54, 0x99, 0x8e, 0xe4, 0x3a, 0x5b, 0x00, 0x7b,
+			    0xf4, 0x99, 0xf0, 0x78, 0xe7, 0x36, 0x52, 0x44,
+			    0x00, 0xa8, 0xb5, 0xc7, 0xe9, 0xb9, 0xb4, 0x37,
+			    0x71, 0x74, 0x8c, 0x7c, 0xdf, 0x88, 0x04, 0x12 },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0x30, 0xb6, 0xc6, 0xa0, 0xf2, 0xff, 0xa6, 0x80,
+			     0x76, 0x8f, 0x99, 0x2b, 0xa8, 0x9e, 0x15, 0x2d,
+			     0x5b, 0xc9, 0x89, 0x3d, 0x38, 0xc9, 0x11, 0x9b,
+			     0xe4, 0xf7, 0x67, 0xbf, 0xab, 0x6e, 0x0c, 0xa5 },
+		.public = { 0xdc, 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 },
+		.result = { 0xea, 0xd9, 0xb3, 0x8e, 0xfd, 0xd7, 0x23, 0x63,
+			    0x79, 0x34, 0xe5, 0x5a, 0xb7, 0x17, 0xa7, 0xae,
+			    0x09, 0xeb, 0x86, 0xa2, 0x1d, 0xc3, 0x6a, 0x3f,
+			    0xee, 0xb8, 0x8b, 0x75, 0x9e, 0x39, 0x1e, 0x09 },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0x90, 0x1b, 0x9d, 0xcf, 0x88, 0x1e, 0x01, 0xe0,
+			     0x27, 0x57, 0x50, 0x35, 0xd4, 0x0b, 0x43, 0xbd,
+			     0xc1, 0xc5, 0x24, 0x2e, 0x03, 0x08, 0x47, 0x49,
+			     0x5b, 0x0c, 0x72, 0x86, 0x46, 0x9b, 0x65, 0x91 },
+		.public = { 0xea, 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 },
+		.result = { 0x60, 0x2f, 0xf4, 0x07, 0x89, 0xb5, 0x4b, 0x41,
+			    0x80, 0x59, 0x15, 0xfe, 0x2a, 0x62, 0x21, 0xf0,
+			    0x7a, 0x50, 0xff, 0xc2, 0xc3, 0xfc, 0x94, 0xcf,
+			    0x61, 0xf1, 0x3d, 0x79, 0x04, 0xe8, 0x8e, 0x0e },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0x80, 0x46, 0x67, 0x7c, 0x28, 0xfd, 0x82, 0xc9,
+			     0xa1, 0xbd, 0xb7, 0x1a, 0x1a, 0x1a, 0x34, 0xfa,
+			     0xba, 0x12, 0x25, 0xe2, 0x50, 0x7f, 0xe3, 0xf5,
+			     0x4d, 0x10, 0xbd, 0x5b, 0x0d, 0x86, 0x5f, 0x8e },
+		.public = { 0xeb, 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 },
+		.result = { 0xe0, 0x0a, 0xe8, 0xb1, 0x43, 0x47, 0x12, 0x47,
+			    0xba, 0x24, 0xf1, 0x2c, 0x88, 0x55, 0x36, 0xc3,
+			    0xcb, 0x98, 0x1b, 0x58, 0xe1, 0xe5, 0x6b, 0x2b,
+			    0xaf, 0x35, 0xc1, 0x2a, 0xe1, 0xf7, 0x9c, 0x26 },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0x60, 0x2f, 0x7e, 0x2f, 0x68, 0xa8, 0x46, 0xb8,
+			     0x2c, 0xc2, 0x69, 0xb1, 0xd4, 0x8e, 0x93, 0x98,
+			     0x86, 0xae, 0x54, 0xfd, 0x63, 0x6c, 0x1f, 0xe0,
+			     0x74, 0xd7, 0x10, 0x12, 0x7d, 0x47, 0x24, 0x91 },
+		.public = { 0xef, 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 },
+		.result = { 0x98, 0xcb, 0x9b, 0x50, 0xdd, 0x3f, 0xc2, 0xb0,
+			    0xd4, 0xf2, 0xd2, 0xbf, 0x7c, 0x5c, 0xfd, 0xd1,
+			    0x0c, 0x8f, 0xcd, 0x31, 0xfc, 0x40, 0xaf, 0x1a,
+			    0xd4, 0x4f, 0x47, 0xc1, 0x31, 0x37, 0x63, 0x62 },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0x60, 0x88, 0x7b, 0x3d, 0xc7, 0x24, 0x43, 0x02,
+			     0x6e, 0xbe, 0xdb, 0xbb, 0xb7, 0x06, 0x65, 0xf4,
+			     0x2b, 0x87, 0xad, 0xd1, 0x44, 0x0e, 0x77, 0x68,
+			     0xfb, 0xd7, 0xe8, 0xe2, 0xce, 0x5f, 0x63, 0x9d },
+		.public = { 0xf0, 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 },
+		.result = { 0x38, 0xd6, 0x30, 0x4c, 0x4a, 0x7e, 0x6d, 0x9f,
+			    0x79, 0x59, 0x33, 0x4f, 0xb5, 0x24, 0x5b, 0xd2,
+			    0xc7, 0x54, 0x52, 0x5d, 0x4c, 0x91, 0xdb, 0x95,
+			    0x02, 0x06, 0x92, 0x62, 0x34, 0xc1, 0xf6, 0x33 },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0x78, 0xd3, 0x1d, 0xfa, 0x85, 0x44, 0x97, 0xd7,
+			     0x2d, 0x8d, 0xef, 0x8a, 0x1b, 0x7f, 0xb0, 0x06,
+			     0xce, 0xc2, 0xd8, 0xc4, 0x92, 0x46, 0x47, 0xc9,
+			     0x38, 0x14, 0xae, 0x56, 0xfa, 0xed, 0xa4, 0x95 },
+		.public = { 0xf1, 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 },
+		.result = { 0x78, 0x6c, 0xd5, 0x49, 0x96, 0xf0, 0x14, 0xa5,
+			    0xa0, 0x31, 0xec, 0x14, 0xdb, 0x81, 0x2e, 0xd0,
+			    0x83, 0x55, 0x06, 0x1f, 0xdb, 0x5d, 0xe6, 0x80,
+			    0xa8, 0x00, 0xac, 0x52, 0x1f, 0x31, 0x8e, 0x23 },
+		.valid = true
+	},
+	/* wycheproof - public key >= p */
+	{
+		.private = { 0xc0, 0x4c, 0x5b, 0xae, 0xfa, 0x83, 0x02, 0xdd,
+			     0xde, 0xd6, 0xa4, 0xbb, 0x95, 0x77, 0x61, 0xb4,
+			     0xeb, 0x97, 0xae, 0xfa, 0x4f, 0xc3, 0xb8, 0x04,
+			     0x30, 0x85, 0xf9, 0x6a, 0x56, 0x59, 0xb3, 0xa5 },
+		.public = { 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 },
+		.result = { 0x29, 0xae, 0x8b, 0xc7, 0x3e, 0x9b, 0x10, 0xa0,
+			    0x8b, 0x4f, 0x68, 0x1c, 0x43, 0xc3, 0xe0, 0xac,
+			    0x1a, 0x17, 0x1d, 0x31, 0xb3, 0x8f, 0x1a, 0x48,
+			    0xef, 0xba, 0x29, 0xae, 0x63, 0x9e, 0xa1, 0x34 },
+		.valid = true
+	},
+	/* wycheproof - RFC 7748 */
+	{
+		.private = { 0xa0, 0x46, 0xe3, 0x6b, 0xf0, 0x52, 0x7c, 0x9d,
+			     0x3b, 0x16, 0x15, 0x4b, 0x82, 0x46, 0x5e, 0xdd,
+			     0x62, 0x14, 0x4c, 0x0a, 0xc1, 0xfc, 0x5a, 0x18,
+			     0x50, 0x6a, 0x22, 0x44, 0xba, 0x44, 0x9a, 0x44 },
+		.public = { 0xe6, 0xdb, 0x68, 0x67, 0x58, 0x30, 0x30, 0xdb,
+			    0x35, 0x94, 0xc1, 0xa4, 0x24, 0xb1, 0x5f, 0x7c,
+			    0x72, 0x66, 0x24, 0xec, 0x26, 0xb3, 0x35, 0x3b,
+			    0x10, 0xa9, 0x03, 0xa6, 0xd0, 0xab, 0x1c, 0x4c },
+		.result = { 0xc3, 0xda, 0x55, 0x37, 0x9d, 0xe9, 0xc6, 0x90,
+			    0x8e, 0x94, 0xea, 0x4d, 0xf2, 0x8d, 0x08, 0x4f,
+			    0x32, 0xec, 0xcf, 0x03, 0x49, 0x1c, 0x71, 0xf7,
+			    0x54, 0xb4, 0x07, 0x55, 0x77, 0xa2, 0x85, 0x52 },
+		.valid = true
+	},
+	/* wycheproof - RFC 7748 */
+	{
+		.private = { 0x48, 0x66, 0xe9, 0xd4, 0xd1, 0xb4, 0x67, 0x3c,
+			     0x5a, 0xd2, 0x26, 0x91, 0x95, 0x7d, 0x6a, 0xf5,
+			     0xc1, 0x1b, 0x64, 0x21, 0xe0, 0xea, 0x01, 0xd4,
+			     0x2c, 0xa4, 0x16, 0x9e, 0x79, 0x18, 0xba, 0x4d },
+		.public = { 0xe5, 0x21, 0x0f, 0x12, 0x78, 0x68, 0x11, 0xd3,
+			    0xf4, 0xb7, 0x95, 0x9d, 0x05, 0x38, 0xae, 0x2c,
+			    0x31, 0xdb, 0xe7, 0x10, 0x6f, 0xc0, 0x3c, 0x3e,
+			    0xfc, 0x4c, 0xd5, 0x49, 0xc7, 0x15, 0xa4, 0x13 },
+		.result = { 0x95, 0xcb, 0xde, 0x94, 0x76, 0xe8, 0x90, 0x7d,
+			    0x7a, 0xad, 0xe4, 0x5c, 0xb4, 0xb8, 0x73, 0xf8,
+			    0x8b, 0x59, 0x5a, 0x68, 0x79, 0x9f, 0xa1, 0x52,
+			    0xe6, 0xf8, 0xf7, 0x64, 0x7a, 0xac, 0x79, 0x57 },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0x0a, 0xb4, 0xe7, 0x63, 0x80, 0xd8, 0x4d, 0xde,
+			    0x4f, 0x68, 0x33, 0xc5, 0x8f, 0x2a, 0x9f, 0xb8,
+			    0xf8, 0x3b, 0xb0, 0x16, 0x9b, 0x17, 0x2b, 0xe4,
+			    0xb6, 0xe0, 0x59, 0x28, 0x87, 0x74, 0x1a, 0x36 },
+		.result = { 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 },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0x89, 0xe1, 0x0d, 0x57, 0x01, 0xb4, 0x33, 0x7d,
+			    0x2d, 0x03, 0x21, 0x81, 0x53, 0x8b, 0x10, 0x64,
+			    0xbd, 0x40, 0x84, 0x40, 0x1c, 0xec, 0xa1, 0xfd,
+			    0x12, 0x66, 0x3a, 0x19, 0x59, 0x38, 0x80, 0x00 },
+		.result = { 0x09, 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 },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0x2b, 0x55, 0xd3, 0xaa, 0x4a, 0x8f, 0x80, 0xc8,
+			    0xc0, 0xb2, 0xae, 0x5f, 0x93, 0x3e, 0x85, 0xaf,
+			    0x49, 0xbe, 0xac, 0x36, 0xc2, 0xfa, 0x73, 0x94,
+			    0xba, 0xb7, 0x6c, 0x89, 0x33, 0xf8, 0xf8, 0x1d },
+		.result = { 0x10, 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 },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0x63, 0xe5, 0xb1, 0xfe, 0x96, 0x01, 0xfe, 0x84,
+			    0x38, 0x5d, 0x88, 0x66, 0xb0, 0x42, 0x12, 0x62,
+			    0xf7, 0x8f, 0xbf, 0xa5, 0xaf, 0xf9, 0x58, 0x5e,
+			    0x62, 0x66, 0x79, 0xb1, 0x85, 0x47, 0xd9, 0x59 },
+		.result = { 0xfe, 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, 0x3f },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0xe4, 0x28, 0xf3, 0xda, 0xc1, 0x78, 0x09, 0xf8,
+			    0x27, 0xa5, 0x22, 0xce, 0x32, 0x35, 0x50, 0x58,
+			    0xd0, 0x73, 0x69, 0x36, 0x4a, 0xa7, 0x89, 0x02,
+			    0xee, 0x10, 0x13, 0x9b, 0x9f, 0x9d, 0xd6, 0x53 },
+		.result = { 0xfc, 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, 0x3f },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0xb3, 0xb5, 0x0e, 0x3e, 0xd3, 0xa4, 0x07, 0xb9,
+			    0x5d, 0xe9, 0x42, 0xef, 0x74, 0x57, 0x5b, 0x5a,
+			    0xb8, 0xa1, 0x0c, 0x09, 0xee, 0x10, 0x35, 0x44,
+			    0xd6, 0x0b, 0xdf, 0xed, 0x81, 0x38, 0xab, 0x2b },
+		.result = { 0xf9, 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, 0x3f },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0x21, 0x3f, 0xff, 0xe9, 0x3d, 0x5e, 0xa8, 0xcd,
+			    0x24, 0x2e, 0x46, 0x28, 0x44, 0x02, 0x99, 0x22,
+			    0xc4, 0x3c, 0x77, 0xc9, 0xe3, 0xe4, 0x2f, 0x56,
+			    0x2f, 0x48, 0x5d, 0x24, 0xc5, 0x01, 0xa2, 0x0b },
+		.result = { 0xf3, 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, 0x3f },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0x91, 0xb2, 0x32, 0xa1, 0x78, 0xb3, 0xcd, 0x53,
+			    0x09, 0x32, 0x44, 0x1e, 0x61, 0x39, 0x41, 0x8f,
+			    0x72, 0x17, 0x22, 0x92, 0xf1, 0xda, 0x4c, 0x18,
+			    0x34, 0xfc, 0x5e, 0xbf, 0xef, 0xb5, 0x1e, 0x3f },
+		.result = { 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, 0x03 },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0x04, 0x5c, 0x6e, 0x11, 0xc5, 0xd3, 0x32, 0x55,
+			    0x6c, 0x78, 0x22, 0xfe, 0x94, 0xeb, 0xf8, 0x9b,
+			    0x56, 0xa3, 0x87, 0x8d, 0xc2, 0x7c, 0xa0, 0x79,
+			    0x10, 0x30, 0x58, 0x84, 0x9f, 0xab, 0xcb, 0x4f },
+		.result = { 0xe5, 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, 0x7f },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0x1c, 0xa2, 0x19, 0x0b, 0x71, 0x16, 0x35, 0x39,
+			    0x06, 0x3c, 0x35, 0x77, 0x3b, 0xda, 0x0c, 0x9c,
+			    0x92, 0x8e, 0x91, 0x36, 0xf0, 0x62, 0x0a, 0xeb,
+			    0x09, 0x3f, 0x09, 0x91, 0x97, 0xb7, 0xf7, 0x4e },
+		.result = { 0xe3, 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, 0x7f },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0xf7, 0x6e, 0x90, 0x10, 0xac, 0x33, 0xc5, 0x04,
+			    0x3b, 0x2d, 0x3b, 0x76, 0xa8, 0x42, 0x17, 0x10,
+			    0x00, 0xc4, 0x91, 0x62, 0x22, 0xe9, 0xe8, 0x58,
+			    0x97, 0xa0, 0xae, 0xc7, 0xf6, 0x35, 0x0b, 0x3c },
+		.result = { 0xdd, 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, 0x7f },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0xbb, 0x72, 0x68, 0x8d, 0x8f, 0x8a, 0xa7, 0xa3,
+			    0x9c, 0xd6, 0x06, 0x0c, 0xd5, 0xc8, 0x09, 0x3c,
+			    0xde, 0xc6, 0xfe, 0x34, 0x19, 0x37, 0xc3, 0x88,
+			    0x6a, 0x99, 0x34, 0x6c, 0xd0, 0x7f, 0xaa, 0x55 },
+		.result = { 0xdb, 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, 0x7f },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0x88, 0xfd, 0xde, 0xa1, 0x93, 0x39, 0x1c, 0x6a,
+			    0x59, 0x33, 0xef, 0x9b, 0x71, 0x90, 0x15, 0x49,
+			    0x44, 0x72, 0x05, 0xaa, 0xe9, 0xda, 0x92, 0x8a,
+			    0x6b, 0x91, 0xa3, 0x52, 0xba, 0x10, 0xf4, 0x1f },
+		.result = { 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, 0x02 },
+		.valid = true
+	},
+	/* wycheproof - edge case for shared secret */
+	{
+		.private = { 0xa0, 0xa4, 0xf1, 0x30, 0xb9, 0x8a, 0x5b, 0xe4,
+			     0xb1, 0xce, 0xdb, 0x7c, 0xb8, 0x55, 0x84, 0xa3,
+			     0x52, 0x0e, 0x14, 0x2d, 0x47, 0x4d, 0xc9, 0xcc,
+			     0xb9, 0x09, 0xa0, 0x73, 0xa9, 0x76, 0xbf, 0x63 },
+		.public = { 0x30, 0x3b, 0x39, 0x2f, 0x15, 0x31, 0x16, 0xca,
+			    0xd9, 0xcc, 0x68, 0x2a, 0x00, 0xcc, 0xc4, 0x4c,
+			    0x95, 0xff, 0x0d, 0x3b, 0xbe, 0x56, 0x8b, 0xeb,
+			    0x6c, 0x4e, 0x73, 0x9b, 0xaf, 0xdc, 0x2c, 0x68 },
+		.result = { 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, 0x80, 0x00 },
+		.valid = true
+	},
+	/* wycheproof - checking for overflow */
+	{
+		.private = { 0xc8, 0x17, 0x24, 0x70, 0x40, 0x00, 0xb2, 0x6d,
+			     0x31, 0x70, 0x3c, 0xc9, 0x7e, 0x3a, 0x37, 0x8d,
+			     0x56, 0xfa, 0xd8, 0x21, 0x93, 0x61, 0xc8, 0x8c,
+			     0xca, 0x8b, 0xd7, 0xc5, 0x71, 0x9b, 0x12, 0xb2 },
+		.public = { 0xfd, 0x30, 0x0a, 0xeb, 0x40, 0xe1, 0xfa, 0x58,
+			    0x25, 0x18, 0x41, 0x2b, 0x49, 0xb2, 0x08, 0xa7,
+			    0x84, 0x2b, 0x1e, 0x1f, 0x05, 0x6a, 0x04, 0x01,
+			    0x78, 0xea, 0x41, 0x41, 0x53, 0x4f, 0x65, 0x2d },
+		.result = { 0xb7, 0x34, 0x10, 0x5d, 0xc2, 0x57, 0x58, 0x5d,
+			    0x73, 0xb5, 0x66, 0xcc, 0xb7, 0x6f, 0x06, 0x27,
+			    0x95, 0xcc, 0xbe, 0xc8, 0x91, 0x28, 0xe5, 0x2b,
+			    0x02, 0xf3, 0xe5, 0x96, 0x39, 0xf1, 0x3c, 0x46 },
+		.valid = true
+	},
+	/* wycheproof - checking for overflow */
+	{
+		.private = { 0xc8, 0x17, 0x24, 0x70, 0x40, 0x00, 0xb2, 0x6d,
+			     0x31, 0x70, 0x3c, 0xc9, 0x7e, 0x3a, 0x37, 0x8d,
+			     0x56, 0xfa, 0xd8, 0x21, 0x93, 0x61, 0xc8, 0x8c,
+			     0xca, 0x8b, 0xd7, 0xc5, 0x71, 0x9b, 0x12, 0xb2 },
+		.public = { 0xc8, 0xef, 0x79, 0xb5, 0x14, 0xd7, 0x68, 0x26,
+			    0x77, 0xbc, 0x79, 0x31, 0xe0, 0x6e, 0xe5, 0xc2,
+			    0x7c, 0x9b, 0x39, 0x2b, 0x4a, 0xe9, 0x48, 0x44,
+			    0x73, 0xf5, 0x54, 0xe6, 0x67, 0x8e, 0xcc, 0x2e },
+		.result = { 0x64, 0x7a, 0x46, 0xb6, 0xfc, 0x3f, 0x40, 0xd6,
+			    0x21, 0x41, 0xee, 0x3c, 0xee, 0x70, 0x6b, 0x4d,
+			    0x7a, 0x92, 0x71, 0x59, 0x3a, 0x7b, 0x14, 0x3e,
+			    0x8e, 0x2e, 0x22, 0x79, 0x88, 0x3e, 0x45, 0x50 },
+		.valid = true
+	},
+	/* wycheproof - checking for overflow */
+	{
+		.private = { 0xc8, 0x17, 0x24, 0x70, 0x40, 0x00, 0xb2, 0x6d,
+			     0x31, 0x70, 0x3c, 0xc9, 0x7e, 0x3a, 0x37, 0x8d,
+			     0x56, 0xfa, 0xd8, 0x21, 0x93, 0x61, 0xc8, 0x8c,
+			     0xca, 0x8b, 0xd7, 0xc5, 0x71, 0x9b, 0x12, 0xb2 },
+		.public = { 0x64, 0xae, 0xac, 0x25, 0x04, 0x14, 0x48, 0x61,
+			    0x53, 0x2b, 0x7b, 0xbc, 0xb6, 0xc8, 0x7d, 0x67,
+			    0xdd, 0x4c, 0x1f, 0x07, 0xeb, 0xc2, 0xe0, 0x6e,
+			    0xff, 0xb9, 0x5a, 0xec, 0xc6, 0x17, 0x0b, 0x2c },
+		.result = { 0x4f, 0xf0, 0x3d, 0x5f, 0xb4, 0x3c, 0xd8, 0x65,
+			    0x7a, 0x3c, 0xf3, 0x7c, 0x13, 0x8c, 0xad, 0xce,
+			    0xcc, 0xe5, 0x09, 0xe4, 0xeb, 0xa0, 0x89, 0xd0,
+			    0xef, 0x40, 0xb4, 0xe4, 0xfb, 0x94, 0x61, 0x55 },
+		.valid = true
+	},
+	/* wycheproof - checking for overflow */
+	{
+		.private = { 0xc8, 0x17, 0x24, 0x70, 0x40, 0x00, 0xb2, 0x6d,
+			     0x31, 0x70, 0x3c, 0xc9, 0x7e, 0x3a, 0x37, 0x8d,
+			     0x56, 0xfa, 0xd8, 0x21, 0x93, 0x61, 0xc8, 0x8c,
+			     0xca, 0x8b, 0xd7, 0xc5, 0x71, 0x9b, 0x12, 0xb2 },
+		.public = { 0xbf, 0x68, 0xe3, 0x5e, 0x9b, 0xdb, 0x7e, 0xee,
+			    0x1b, 0x50, 0x57, 0x02, 0x21, 0x86, 0x0f, 0x5d,
+			    0xcd, 0xad, 0x8a, 0xcb, 0xab, 0x03, 0x1b, 0x14,
+			    0x97, 0x4c, 0xc4, 0x90, 0x13, 0xc4, 0x98, 0x31 },
+		.result = { 0x21, 0xce, 0xe5, 0x2e, 0xfd, 0xbc, 0x81, 0x2e,
+			    0x1d, 0x02, 0x1a, 0x4a, 0xf1, 0xe1, 0xd8, 0xbc,
+			    0x4d, 0xb3, 0xc4, 0x00, 0xe4, 0xd2, 0xa2, 0xc5,
+			    0x6a, 0x39, 0x26, 0xdb, 0x4d, 0x99, 0xc6, 0x5b },
+		.valid = true
+	},
+	/* wycheproof - checking for overflow */
+	{
+		.private = { 0xc8, 0x17, 0x24, 0x70, 0x40, 0x00, 0xb2, 0x6d,
+			     0x31, 0x70, 0x3c, 0xc9, 0x7e, 0x3a, 0x37, 0x8d,
+			     0x56, 0xfa, 0xd8, 0x21, 0x93, 0x61, 0xc8, 0x8c,
+			     0xca, 0x8b, 0xd7, 0xc5, 0x71, 0x9b, 0x12, 0xb2 },
+		.public = { 0x53, 0x47, 0xc4, 0x91, 0x33, 0x1a, 0x64, 0xb4,
+			    0x3d, 0xdc, 0x68, 0x30, 0x34, 0xe6, 0x77, 0xf5,
+			    0x3d, 0xc3, 0x2b, 0x52, 0xa5, 0x2a, 0x57, 0x7c,
+			    0x15, 0xa8, 0x3b, 0xf2, 0x98, 0xe9, 0x9f, 0x19 },
+		.result = { 0x18, 0xcb, 0x89, 0xe4, 0xe2, 0x0c, 0x0c, 0x2b,
+			    0xd3, 0x24, 0x30, 0x52, 0x45, 0x26, 0x6c, 0x93,
+			    0x27, 0x69, 0x0b, 0xbe, 0x79, 0xac, 0xb8, 0x8f,
+			    0x5b, 0x8f, 0xb3, 0xf7, 0x4e, 0xca, 0x3e, 0x52 },
+		.valid = true
+	},
+	/* wycheproof - private key == -1 (mod order) */
+	{
+		.private = { 0xa0, 0x23, 0xcd, 0xd0, 0x83, 0xef, 0x5b, 0xb8,
+			     0x2f, 0x10, 0xd6, 0x2e, 0x59, 0xe1, 0x5a, 0x68,
+			     0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+			     0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x50 },
+		.public = { 0x25, 0x8e, 0x04, 0x52, 0x3b, 0x8d, 0x25, 0x3e,
+			    0xe6, 0x57, 0x19, 0xfc, 0x69, 0x06, 0xc6, 0x57,
+			    0x19, 0x2d, 0x80, 0x71, 0x7e, 0xdc, 0x82, 0x8f,
+			    0xa0, 0xaf, 0x21, 0x68, 0x6e, 0x2f, 0xaa, 0x75 },
+		.result = { 0x25, 0x8e, 0x04, 0x52, 0x3b, 0x8d, 0x25, 0x3e,
+			    0xe6, 0x57, 0x19, 0xfc, 0x69, 0x06, 0xc6, 0x57,
+			    0x19, 0x2d, 0x80, 0x71, 0x7e, 0xdc, 0x82, 0x8f,
+			    0xa0, 0xaf, 0x21, 0x68, 0x6e, 0x2f, 0xaa, 0x75 },
+		.valid = true
+	},
+	/* wycheproof - private key == 1 (mod order) on twist */
+	{
+		.private = { 0x58, 0x08, 0x3d, 0xd2, 0x61, 0xad, 0x91, 0xef,
+			     0xf9, 0x52, 0x32, 0x2e, 0xc8, 0x24, 0xc6, 0x82,
+			     0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+			     0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x5f },
+		.public = { 0x2e, 0xae, 0x5e, 0xc3, 0xdd, 0x49, 0x4e, 0x9f,
+			    0x2d, 0x37, 0xd2, 0x58, 0xf8, 0x73, 0xa8, 0xe6,
+			    0xe9, 0xd0, 0xdb, 0xd1, 0xe3, 0x83, 0xef, 0x64,
+			    0xd9, 0x8b, 0xb9, 0x1b, 0x3e, 0x0b, 0xe0, 0x35 },
+		.result = { 0x2e, 0xae, 0x5e, 0xc3, 0xdd, 0x49, 0x4e, 0x9f,
+			    0x2d, 0x37, 0xd2, 0x58, 0xf8, 0x73, 0xa8, 0xe6,
+			    0xe9, 0xd0, 0xdb, 0xd1, 0xe3, 0x83, 0xef, 0x64,
+			    0xd9, 0x8b, 0xb9, 0x1b, 0x3e, 0x0b, 0xe0, 0x35 },
+		.valid = true
+	}
+};
+
+bool __init curve25519_selftest(void)
+{
+	bool success = true, ret, ret2;
+	size_t i = 0, j;
+	u8 in[CURVE25519_KEY_SIZE];
+	u8 out[CURVE25519_KEY_SIZE], out2[CURVE25519_KEY_SIZE],
+	   out3[CURVE25519_KEY_SIZE];
+
+	for (i = 0; i < ARRAY_SIZE(curve25519_test_vectors); ++i) {
+		memset(out, 0, CURVE25519_KEY_SIZE);
+		ret = curve25519(out, curve25519_test_vectors[i].private,
+				 curve25519_test_vectors[i].public);
+		if (ret != curve25519_test_vectors[i].valid ||
+		    memcmp(out, curve25519_test_vectors[i].result,
+			   CURVE25519_KEY_SIZE)) {
+			pr_err("curve25519 self-test %zu: FAIL\n", i + 1);
+			success = false;
+		}
+	}
+
+	for (i = 0; i < 5; ++i) {
+		get_random_bytes(in, sizeof(in));
+		ret = curve25519_generate_public(out, in);
+		ret2 = curve25519(out2, in, (u8[CURVE25519_KEY_SIZE]){ 9 });
+		curve25519_generic(out3, in, (u8[CURVE25519_KEY_SIZE]){ 9 });
+		if (ret != ret2 ||
+		    memcmp(out, out2, CURVE25519_KEY_SIZE) ||
+		    memcmp(out, out3, CURVE25519_KEY_SIZE)) {
+			pr_err("curve25519 basepoint self-test %zu: FAIL: input - 0x",
+			       i + 1);
+			for (j = CURVE25519_KEY_SIZE; j-- > 0;)
+				printk(KERN_CONT "%02x", in[j]);
+			printk(KERN_CONT "\n");
+			success = false;
+		}
+	}
+
+	return success;
+}
diff --git a/lib/crypto/curve25519.c b/lib/crypto/curve25519.c
index 0106bebe6900..c03ccdb99434 100644
--- a/lib/crypto/curve25519.c
+++ b/lib/crypto/curve25519.c
@@ -13,6 +13,8 @@
 #include <linux/module.h>
 #include <linux/init.h>
 
+bool curve25519_selftest(void);
+
 const u8 curve25519_null_point[CURVE25519_KEY_SIZE] __aligned(32) = { 0 };
 const u8 curve25519_base_point[CURVE25519_KEY_SIZE] __aligned(32) = { 9 };
 
@@ -20,6 +22,21 @@ EXPORT_SYMBOL(curve25519_null_point);
 EXPORT_SYMBOL(curve25519_base_point);
 EXPORT_SYMBOL(curve25519_generic);
 
+static int __init mod_init(void)
+{
+	if (!IS_ENABLED(CONFIG_CRYPTO_MANAGER_DISABLE_TESTS) &&
+	    WARN_ON(!curve25519_selftest()))
+		return -ENODEV;
+	return 0;
+}
+
+static void __exit mod_exit(void)
+{
+}
+
+module_init(mod_init);
+module_exit(mod_exit);
+
 MODULE_LICENSE("GPL v2");
 MODULE_DESCRIPTION("Curve25519 scalar multiplication");
 MODULE_AUTHOR("Jason A. Donenfeld <Jason@zx2c4.com>");
-- 
2.24.0


^ permalink raw reply related	[flat|nested] 7+ messages in thread

* Re: [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function
  2019-12-11  9:26 ` [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function Jason A. Donenfeld
  2019-12-11  9:26   ` [PATCH 2/2] crypto: curve25519 - re-add selftests Jason A. Donenfeld
@ 2019-12-11  9:38   ` Ard Biesheuvel
  2019-12-11  9:40     ` Jason A. Donenfeld
  2019-12-11 12:07     ` Jason A. Donenfeld
  2019-12-12  6:08   ` Herbert Xu
  2 siblings, 2 replies; 7+ messages in thread
From: Ard Biesheuvel @ 2019-12-11  9:38 UTC (permalink / raw)
  To: Jason A. Donenfeld
  Cc: open list:HARDWARE RANDOM NUMBER GENERATOR CORE, Herbert Xu,
	Linux Kernel Mailing List, <netdev@vger.kernel.org>,
	Stephen Rothwell

On Wed, 11 Dec 2019 at 10:27, Jason A. Donenfeld <Jason@zx2c4.com> wrote:
>
> Somehow this was forgotten when Zinc was being split into oddly shaped
> pieces, resulting in linker errors.

Zinc has no historical significance here, so it doesn't make sense to
keep referring to it in the commit logs.

> The x86_64 glue has a specific key
> generation implementation, but the Arm one does not. However, it can
> still receive the NEON speedups by calling the ordinary DH function
> using the base point.
>
> Signed-off-by: Jason A. Donenfeld <Jason@zx2c4.com>

With the first sentence dropped,

Acked-by: Ard Biesheuvel <ardb@kernel.org>

> ---
>  arch/arm/crypto/curve25519-glue.c | 7 +++++++
>  1 file changed, 7 insertions(+)
>
> diff --git a/arch/arm/crypto/curve25519-glue.c b/arch/arm/crypto/curve25519-glue.c
> index f3f42cf3b893..776ae07e0469 100644
> --- a/arch/arm/crypto/curve25519-glue.c
> +++ b/arch/arm/crypto/curve25519-glue.c
> @@ -38,6 +38,13 @@ void curve25519_arch(u8 out[CURVE25519_KEY_SIZE],
>  }
>  EXPORT_SYMBOL(curve25519_arch);
>
> +void curve25519_base_arch(u8 pub[CURVE25519_KEY_SIZE],
> +                         const u8 secret[CURVE25519_KEY_SIZE])
> +{
> +       return curve25519_arch(pub, secret, curve25519_base_point);
> +}
> +EXPORT_SYMBOL(curve25519_base_arch);
> +
>  static int curve25519_set_secret(struct crypto_kpp *tfm, const void *buf,
>                                  unsigned int len)
>  {
> --
> 2.24.0
>

^ permalink raw reply	[flat|nested] 7+ messages in thread

* Re: [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function
  2019-12-11  9:38   ` [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function Ard Biesheuvel
@ 2019-12-11  9:40     ` Jason A. Donenfeld
  2019-12-11 12:07     ` Jason A. Donenfeld
  1 sibling, 0 replies; 7+ messages in thread
From: Jason A. Donenfeld @ 2019-12-11  9:40 UTC (permalink / raw)
  To: Ard Biesheuvel
  Cc: open list:HARDWARE RANDOM NUMBER GENERATOR CORE, Herbert Xu,
	Linux Kernel Mailing List, <netdev@vger.kernel.org>,
	Stephen Rothwell

On Wed, Dec 11, 2019 at 10:38 AM Ard Biesheuvel
<ard.biesheuvel@linaro.org> wrote:
>
> On Wed, 11 Dec 2019 at 10:27, Jason A. Donenfeld <Jason@zx2c4.com> wrote:
> >
> > Somehow this was forgotten when Zinc was being split into oddly shaped
> > pieces, resulting in linker errors.
>
> Zinc has no historical significance here

Wow...

^ permalink raw reply	[flat|nested] 7+ messages in thread

* Re: [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function
  2019-12-11  9:38   ` [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function Ard Biesheuvel
  2019-12-11  9:40     ` Jason A. Donenfeld
@ 2019-12-11 12:07     ` Jason A. Donenfeld
  2019-12-12  6:08       ` Herbert Xu
  1 sibling, 1 reply; 7+ messages in thread
From: Jason A. Donenfeld @ 2019-12-11 12:07 UTC (permalink / raw)
  To: Herbert Xu
  Cc: open list:HARDWARE RANDOM NUMBER GENERATOR CORE,
	Linux Kernel Mailing List, <netdev@vger.kernel.org>,
	Stephen Rothwell, Ard Biesheuvel

On Wed, Dec 11, 2019 at 10:38 AM Ard Biesheuvel
<ard.biesheuvel@linaro.org> wrote:
> > The x86_64 glue has a specific key
> > generation implementation, but the Arm one does not. However, it can
> > still receive the NEON speedups by calling the ordinary DH function
> > using the base point.
> >
> > Signed-off-by: Jason A. Donenfeld <Jason@zx2c4.com>
>
> With the first sentence dropped,
>
> Acked-by: Ard Biesheuvel <ardb@kernel.org>

Herbert - can you pick this up for 5.5-rc2 rather than 5.6?

^ permalink raw reply	[flat|nested] 7+ messages in thread

* Re: [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function
  2019-12-11 12:07     ` Jason A. Donenfeld
@ 2019-12-12  6:08       ` Herbert Xu
  0 siblings, 0 replies; 7+ messages in thread
From: Herbert Xu @ 2019-12-12  6:08 UTC (permalink / raw)
  To: Jason A. Donenfeld
  Cc: open list:HARDWARE RANDOM NUMBER GENERATOR CORE,
	Linux Kernel Mailing List, <netdev@vger.kernel.org>,
	Stephen Rothwell, Ard Biesheuvel

On Wed, Dec 11, 2019 at 01:07:43PM +0100, Jason A. Donenfeld wrote:
>
> Herbert - can you pick this up for 5.5-rc2 rather than 5.6?

Yes I'll be pushing this patch for 5.5.

Cheers,
-- 
Email: Herbert Xu <herbert@gondor.apana.org.au>
Home Page: http://gondor.apana.org.au/~herbert/
PGP Key: http://gondor.apana.org.au/~herbert/pubkey.txt

^ permalink raw reply	[flat|nested] 7+ messages in thread

* Re: [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function
  2019-12-11  9:26 ` [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function Jason A. Donenfeld
  2019-12-11  9:26   ` [PATCH 2/2] crypto: curve25519 - re-add selftests Jason A. Donenfeld
  2019-12-11  9:38   ` [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function Ard Biesheuvel
@ 2019-12-12  6:08   ` Herbert Xu
  2 siblings, 0 replies; 7+ messages in thread
From: Herbert Xu @ 2019-12-12  6:08 UTC (permalink / raw)
  To: Jason A. Donenfeld; +Cc: linux-crypto, linux-kernel, netdev, sfr

On Wed, Dec 11, 2019 at 10:26:39AM +0100, Jason A. Donenfeld wrote:
> Somehow this was forgotten when Zinc was being split into oddly shaped
> pieces, resulting in linker errors. The x86_64 glue has a specific key
> generation implementation, but the Arm one does not. However, it can
> still receive the NEON speedups by calling the ordinary DH function
> using the base point.
> 
> Signed-off-by: Jason A. Donenfeld <Jason@zx2c4.com>
> ---
>  arch/arm/crypto/curve25519-glue.c | 7 +++++++
>  1 file changed, 7 insertions(+)

Patch applied.  Thanks.
-- 
Email: Herbert Xu <herbert@gondor.apana.org.au>
Home Page: http://gondor.apana.org.au/~herbert/
PGP Key: http://gondor.apana.org.au/~herbert/pubkey.txt

^ permalink raw reply	[flat|nested] 7+ messages in thread

end of thread, other threads:[~2019-12-12  6:08 UTC | newest]

Thread overview: 7+ messages (download: mbox.gz / follow: Atom feed)
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2019-12-11  9:26 ` [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function Jason A. Donenfeld
2019-12-11  9:26   ` [PATCH 2/2] crypto: curve25519 - re-add selftests Jason A. Donenfeld
2019-12-11  9:38   ` [PATCH 1/2] crypto: arm/curve25519 - add arch-specific key generation function Ard Biesheuvel
2019-12-11  9:40     ` Jason A. Donenfeld
2019-12-11 12:07     ` Jason A. Donenfeld
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2019-12-12  6:08   ` Herbert Xu

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