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authorYves-Alexis Perez <corsac@corsac.net>2017-04-01 16:26:44 +0200
committerYves-Alexis Perez <corsac@corsac.net>2017-04-01 16:26:44 +0200
commit05ddd767992d68bb38c7f16ece142e8c2e9ae016 (patch)
tree302c618be306d4ed3c7f9fc58a1f6aaad4dd252f /src/libstrongswan/plugins/curve25519
parent25663e04c3ab01ef8dc9f906608282319cfea2db (diff)
downloadvyos-strongswan-05ddd767992d68bb38c7f16ece142e8c2e9ae016.tar.gz
vyos-strongswan-05ddd767992d68bb38c7f16ece142e8c2e9ae016.zip
New upstream version 5.5.2
Diffstat (limited to 'src/libstrongswan/plugins/curve25519')
-rw-r--r--src/libstrongswan/plugins/curve25519/Makefile.am23
-rw-r--r--src/libstrongswan/plugins/curve25519/Makefile.in822
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_dh.c174
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_dh.h47
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_drv.c41
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_drv.h66
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_drv_portable.c613
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_drv_portable.h31
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_identity_hasher.c25
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_identity_hasher.h47
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_plugin.c101
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_plugin.h42
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_private_key.c346
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_private_key.h60
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_public_key.c331
-rw-r--r--src/libstrongswan/plugins/curve25519/curve25519_public_key.h74
-rw-r--r--src/libstrongswan/plugins/curve25519/ref10/base.h2121
-rw-r--r--src/libstrongswan/plugins/curve25519/ref10/base2.h73
-rw-r--r--src/libstrongswan/plugins/curve25519/ref10/ref10.c2731
-rw-r--r--src/libstrongswan/plugins/curve25519/ref10/ref10.h93
20 files changed, 7861 insertions, 0 deletions
diff --git a/src/libstrongswan/plugins/curve25519/Makefile.am b/src/libstrongswan/plugins/curve25519/Makefile.am
new file mode 100644
index 000000000..f3e1e9295
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/Makefile.am
@@ -0,0 +1,23 @@
+AM_CPPFLAGS = \
+ -I$(top_srcdir)/src/libstrongswan
+
+AM_CFLAGS = \
+ $(PLUGIN_CFLAGS)
+
+if MONOLITHIC
+noinst_LTLIBRARIES = libstrongswan-curve25519.la
+else
+plugin_LTLIBRARIES = libstrongswan-curve25519.la
+endif
+
+libstrongswan_curve25519_la_SOURCES = \
+ curve25519_dh.h curve25519_dh.c \
+ curve25519_drv.h curve25519_drv.c \
+ curve25519_drv_portable.h curve25519_drv_portable.c \
+ curve25519_identity_hasher.h curve25519_identity_hasher.c \
+ curve25519_plugin.h curve25519_plugin.c \
+ curve25519_private_key.h curve25519_private_key.c \
+ curve25519_public_key.h curve25519_public_key.c \
+ ref10/ref10.h ref10/ref10.c ref10/base.h ref10/base2.h
+
+libstrongswan_curve25519_la_LDFLAGS = -module -avoid-version
diff --git a/src/libstrongswan/plugins/curve25519/Makefile.in b/src/libstrongswan/plugins/curve25519/Makefile.in
new file mode 100644
index 000000000..1fa2b171b
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/Makefile.in
@@ -0,0 +1,822 @@
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+ curve25519_dh.h curve25519_dh.c \
+ curve25519_drv.h curve25519_drv.c \
+ curve25519_drv_portable.h curve25519_drv_portable.c \
+ curve25519_identity_hasher.h curve25519_identity_hasher.c \
+ curve25519_plugin.h curve25519_plugin.c \
+ curve25519_private_key.h curve25519_private_key.c \
+ curve25519_public_key.h curve25519_public_key.c \
+ ref10/ref10.h ref10/ref10.c ref10/base.h ref10/base2.h
+
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+ @list='$(plugin_LTLIBRARIES)'; \
+ locs=`for p in $$list; do echo $$p; done | \
+ sed 's|^[^/]*$$|.|; s|/[^/]*$$||; s|$$|/so_locations|' | \
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+ @: > ref10/$(DEPDIR)/$(am__dirstamp)
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+
+libstrongswan-curve25519.la: $(libstrongswan_curve25519_la_OBJECTS) $(libstrongswan_curve25519_la_DEPENDENCIES) $(EXTRA_libstrongswan_curve25519_la_DEPENDENCIES)
+ $(AM_V_CCLD)$(libstrongswan_curve25519_la_LINK) $(am_libstrongswan_curve25519_la_rpath) $(libstrongswan_curve25519_la_OBJECTS) $(libstrongswan_curve25519_la_LIBADD) $(LIBS)
+
+mostlyclean-compile:
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+ -rm -f ref10/*.$(OBJEXT)
+ -rm -f ref10/*.lo
+
+distclean-compile:
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+
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/curve25519_dh.Plo@am__quote@
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+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/curve25519_drv_portable.Plo@am__quote@
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+ fi
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+clean-generic:
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+distclean-generic:
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+ -test . = "$(srcdir)" || test -z "$(CONFIG_CLEAN_VPATH_FILES)" || rm -f $(CONFIG_CLEAN_VPATH_FILES)
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+# Tell versions [3.59,3.63) of GNU make to not export all variables.
+# Otherwise a system limit (for SysV at least) may be exceeded.
+.NOEXPORT:
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_dh.c b/src/libstrongswan/plugins/curve25519/curve25519_dh.c
new file mode 100644
index 000000000..c550263d4
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_dh.c
@@ -0,0 +1,174 @@
+/*
+ * Copyright (C) 2015 Martin Willi
+ * Copyright (C) 2015 revosec AG
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+#include <string.h>
+#include <stdint.h>
+
+#include "curve25519_dh.h"
+#include "curve25519_drv.h"
+
+typedef struct private_curve25519_dh_t private_curve25519_dh_t;
+
+/**
+ * Private data of an curve25519_dh_t object.
+ */
+struct private_curve25519_dh_t {
+
+ /**
+ * Public curve25519_dh_t interface.
+ */
+ curve25519_dh_t public;
+
+ /**
+ * Shared key, if computed
+ */
+ u_char shared[CURVE25519_KEY_SIZE];
+
+ /**
+ * TRUE if shared secret is computed
+ */
+ bool computed;
+
+ /**
+ * Curve25519 backend
+ */
+ curve25519_drv_t *drv;
+};
+
+/**
+ * Generate a valid Curve25519 key
+ */
+static bool generate_key(private_curve25519_dh_t *this)
+{
+ u_char key[CURVE25519_KEY_SIZE];
+ rng_t *rng;
+
+ rng = lib->crypto->create_rng(lib->crypto, RNG_STRONG);
+ if (!rng)
+ {
+ DBG1(DBG_LIB, "no RNG found for quality %N",
+ rng_quality_names, RNG_STRONG);
+ return FALSE;
+ }
+ if (!rng->get_bytes(rng, CURVE25519_KEY_SIZE, key))
+ {
+ rng->destroy(rng);
+ return FALSE;
+ }
+ rng->destroy(rng);
+
+ return this->drv->set_key(this->drv, key);
+}
+
+METHOD(diffie_hellman_t, set_other_public_value, bool,
+ private_curve25519_dh_t *this, chunk_t value)
+{
+ if (value.len == CURVE25519_KEY_SIZE)
+ {
+ if (this->drv->curve25519(this->drv, value.ptr, this->shared))
+ {
+ this->computed = TRUE;
+ return TRUE;
+ }
+ }
+ return FALSE;
+}
+
+METHOD(diffie_hellman_t, get_my_public_value, bool,
+ private_curve25519_dh_t *this, chunk_t *value)
+{
+ u_char basepoint[CURVE25519_KEY_SIZE] = { 9 };
+
+ *value = chunk_alloc(CURVE25519_KEY_SIZE);
+ if (this->drv->curve25519(this->drv, basepoint, value->ptr))
+ {
+ return TRUE;
+ }
+ free(value->ptr);
+ return FALSE;
+}
+
+METHOD(diffie_hellman_t, set_private_value, bool,
+ private_curve25519_dh_t *this, chunk_t value)
+{
+ if (value.len != CURVE25519_KEY_SIZE)
+ {
+ return FALSE;
+ }
+ return this->drv->set_key(this->drv, value.ptr);
+}
+
+METHOD(diffie_hellman_t, get_shared_secret, bool,
+ private_curve25519_dh_t *this, chunk_t *secret)
+{
+ if (!this->computed)
+ {
+ return FALSE;
+ }
+ *secret = chunk_clone(chunk_from_thing(this->shared));
+ return TRUE;
+}
+
+METHOD(diffie_hellman_t, get_dh_group, diffie_hellman_group_t,
+ private_curve25519_dh_t *this)
+{
+ return CURVE_25519;
+}
+
+METHOD(diffie_hellman_t, destroy, void,
+ private_curve25519_dh_t *this)
+{
+ this->drv->destroy(this->drv);
+ free(this);
+}
+
+/*
+ * Described in header.
+ */
+curve25519_dh_t *curve25519_dh_create(diffie_hellman_group_t group)
+{
+ private_curve25519_dh_t *this;
+
+ if (group != CURVE_25519)
+ {
+ return FALSE;
+ }
+
+ INIT(this,
+ .public = {
+ .dh = {
+ .get_shared_secret = _get_shared_secret,
+ .set_other_public_value = _set_other_public_value,
+ .get_my_public_value = _get_my_public_value,
+ .set_private_value = _set_private_value,
+ .get_dh_group = _get_dh_group,
+ .destroy = _destroy,
+ },
+ },
+ .drv = curve25519_drv_probe(),
+ );
+
+ if (!this->drv)
+ {
+ free(this);
+ return NULL;
+ }
+ if (!generate_key(this))
+ {
+ destroy(this);
+ return NULL;
+ }
+ return &this->public;
+}
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_dh.h b/src/libstrongswan/plugins/curve25519/curve25519_dh.h
new file mode 100644
index 000000000..40bc6d1d9
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_dh.h
@@ -0,0 +1,47 @@
+/*
+ * Copyright (C) 2014 Martin Willi
+ * Copyright (C) 2014 revosec AG
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+/**
+ * @defgroup curve25519_dh curve25519_dh
+ * @{ @ingroup curve25519_p
+ */
+
+#ifndef CURVE25519_DH_H_
+#define CURVE25519_DH_H_
+
+typedef struct curve25519_dh_t curve25519_dh_t;
+
+#include <library.h>
+
+/**
+ * Diffie-Hellman implementation using Curve25519.
+ */
+struct curve25519_dh_t {
+
+ /**
+ * Implements diffie_hellman_t interface.
+ */
+ diffie_hellman_t dh;
+};
+
+/**
+ * Creates a new curve25519_dh_t object.
+ *
+ * @param group DH group, CURVE_25519
+ * @return curve25519_dh_t object, NULL on error
+ */
+curve25519_dh_t *curve25519_dh_create(diffie_hellman_group_t group);
+
+#endif /** CURVE25519_DH_H_ @}*/
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_drv.c b/src/libstrongswan/plugins/curve25519/curve25519_drv.c
new file mode 100644
index 000000000..df39e711f
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_drv.c
@@ -0,0 +1,41 @@
+/*
+ * Copyright (C) 2015 Martin Willi
+ * Copyright (C) 2015 revosec AG
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+#include "curve25519_drv.h"
+#include "curve25519_drv_portable.h"
+
+typedef curve25519_drv_t*(*curve25519_drv_create)();
+
+/**
+ * See header.
+ */
+curve25519_drv_t *curve25519_drv_probe()
+{
+ curve25519_drv_create drivers[] = {
+ curve25519_drv_portable_create,
+ };
+ curve25519_drv_t *driver;
+ int i;
+
+ for (i = 0; i < countof(drivers); i++)
+ {
+ driver = drivers[i]();
+ if (driver)
+ {
+ return driver;
+ }
+ }
+ return NULL;
+}
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_drv.h b/src/libstrongswan/plugins/curve25519/curve25519_drv.h
new file mode 100644
index 000000000..bdf0c4c29
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_drv.h
@@ -0,0 +1,66 @@
+/*
+ * Copyright (C) 2015 Martin Willi
+ * Copyright (C) 2015 revosec AG
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+/**
+ * @defgroup curve25519_drv curve25519_drv
+ * @{ @ingroup curve25519_p
+ */
+
+#ifndef CURVE25519_DRV_H_
+#define CURVE25519_DRV_H_
+
+typedef struct curve25519_drv_t curve25519_drv_t;
+
+#include <library.h>
+
+/**
+ * Private key size of Curve25519
+ */
+#define CURVE25519_KEY_SIZE 32
+
+/**
+ * Backend driver abstraction for Curve25519.
+ */
+struct curve25519_drv_t {
+
+ /**
+ * Set the private key.
+ *
+ * @param key 32 byte private key, clamped
+ * @return TRUE if key set
+ */
+ bool (*set_key)(curve25519_drv_t *this, u_char *key);
+
+ /**
+ * Calculate Curve25519 for the set key.
+ *
+ * @param in input data, 32 bytes
+ * @param out output data, 32 bytes
+ * @return TRUE if calculated
+ */
+ bool (*curve25519)(curve25519_drv_t *this, u_char *in, u_char *out);
+
+ /**
+ * Destroy a curve25519_drv_t.
+ */
+ void (*destroy)(curve25519_drv_t *this);
+};
+
+/**
+ * Create a curve25519_drv instance.
+ */
+curve25519_drv_t *curve25519_drv_probe();
+
+#endif /** CURVE25519_DRV_H_ @}*/
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_drv_portable.c b/src/libstrongswan/plugins/curve25519/curve25519_drv_portable.c
new file mode 100644
index 000000000..9182de5a7
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_drv_portable.c
@@ -0,0 +1,613 @@
+/*
+ * Copyright (C) 2015 Martin Willi
+ * Copyright (C) 2015 revosec AG
+ *
+ * Based on public domain code by Andrew Moon (curve22519-donna).
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+#include "curve25519_drv_portable.h"
+
+typedef struct private_curve25519_drv_t private_curve25519_drv_t;
+
+/**
+ * Private data of an curve25519_drv_portable_t object.
+ */
+struct private_curve25519_drv_t {
+
+ /**
+ * Public curve25519_drv_t interface.
+ */
+ curve25519_drv_t public;
+
+ /**
+ * Private key
+ */
+ u_char key[CURVE25519_KEY_SIZE];
+};
+
+METHOD(curve25519_drv_t, set_key, bool,
+ private_curve25519_drv_t *this, u_char *key)
+{
+ memcpy(this->key, key, sizeof(this->key));
+
+ this->key[0] &= 0xf8;
+ this->key[31] &= 0x7f;
+ this->key[31] |= 0x40;
+ return TRUE;
+}
+
+/**
+ * OR a 32-bit integer to an unaligned little-endian
+ */
+static inline void horule32(void *p, uint32_t x)
+{
+ uint32_t r;
+
+ memcpy(&r, p, sizeof(r));
+ r |= htole32(x);
+ memcpy(p, &r, sizeof(r));
+}
+
+/**
+ * Reduce a 32-bit integer to 26 bits
+ */
+static inline uint32_t rdc26(uint32_t v)
+{
+ return v & ((1 << 26) - 1);
+}
+
+/**
+ * Reduce a 32-bit integer to 25 bits
+ */
+static inline uint32_t rdc25(uint32_t v)
+{
+ return v & ((1 << 25) - 1);
+}
+
+/**
+ * Shift right a 64-bit integer by 26 bits
+ */
+static inline uint32_t sr26(uint64_t v)
+{
+ return v >> 26;
+}
+
+/**
+ * Shift right a 64-bit integer by 25 bits
+ */
+static inline uint32_t sr25(uint64_t v)
+{
+ return v >> 25;
+}
+
+/**
+ * Multiply a 64-bit integer with a 32-bit integer
+ */
+static inline uint64_t mul64(uint64_t a, uint32_t b)
+{
+ return a * b;
+}
+
+/**
+ * out = a + b
+ */
+static inline void add(uint32_t out[10], uint32_t a[10], uint32_t b[10])
+{
+ out[0] = a[0] + b[0];
+ out[1] = a[1] + b[1];
+ out[2] = a[2] + b[2];
+ out[3] = a[3] + b[3];
+ out[4] = a[4] + b[4];
+ out[5] = a[5] + b[5];
+ out[6] = a[6] + b[6];
+ out[7] = a[7] + b[7];
+ out[8] = a[8] + b[8];
+ out[9] = a[9] + b[9];
+}
+
+/**
+ * out = a - b
+ */
+static inline void sub(uint32_t out[10], uint32_t a[10], uint32_t b[10])
+{
+ uint32_t x;
+
+ x = 0x7ffffda + a[0] - b[0]; out[0] = rdc26(x);
+ x = 0x3fffffe + a[1] - b[1] + sr26(x); out[1] = rdc25(x);
+ x = 0x7fffffe + a[2] - b[2] + sr25(x); out[2] = rdc26(x);
+ x = 0x3fffffe + a[3] - b[3] + sr26(x); out[3] = rdc25(x);
+ x = 0x7fffffe + a[4] - b[4] + sr25(x); out[4] = rdc26(x);
+ x = 0x3fffffe + a[5] - b[5] + sr26(x); out[5] = rdc25(x);
+ x = 0x7fffffe + a[6] - b[6] + sr25(x); out[6] = rdc26(x);
+ x = 0x3fffffe + a[7] - b[7] + sr26(x); out[7] = rdc25(x);
+ x = 0x7fffffe + a[8] - b[8] + sr25(x); out[8] = rdc26(x);
+ x = 0x3fffffe + a[9] - b[9] + sr26(x); out[9] = rdc25(x);
+ out[0] += sr25(x) * 19;
+}
+
+/**
+ * out = in * scalar
+ */
+static void scalar_product(uint32_t out[10], uint32_t in[10], uint32_t scalar)
+{
+ uint64_t x;
+
+ x = mul64(in[0], scalar); out[0] = rdc26(x);
+ x = mul64(in[1], scalar) + sr26(x); out[1] = rdc25(x);
+ x = mul64(in[2], scalar) + sr25(x); out[2] = rdc26(x);
+ x = mul64(in[3], scalar) + sr26(x); out[3] = rdc25(x);
+ x = mul64(in[4], scalar) + sr25(x); out[4] = rdc26(x);
+ x = mul64(in[5], scalar) + sr26(x); out[5] = rdc25(x);
+ x = mul64(in[6], scalar) + sr25(x); out[6] = rdc26(x);
+ x = mul64(in[7], scalar) + sr26(x); out[7] = rdc25(x);
+ x = mul64(in[8], scalar) + sr25(x); out[8] = rdc26(x);
+ x = mul64(in[9], scalar) + sr26(x); out[9] = rdc25(x);
+ out[0] += sr25(x) * 19;
+}
+
+/**
+ * out = a * b
+ */
+static inline void mul(uint32_t out[10], uint32_t a[10], uint32_t b[10])
+{
+ uint32_t r0, r1, r2, r3, r4, r5, r6, r7, r8, r9;
+ uint32_t s0, s1, s2, s3, s4, s5, s6, s7, s8, s9;
+ uint64_t m0, m1, m2, m3, m4, m5, m6, m7, m8, m9;
+
+ r0 = b[0];
+ r1 = b[1];
+ r2 = b[2];
+ r3 = b[3];
+ r4 = b[4];
+ r5 = b[5];
+ r6 = b[6];
+ r7 = b[7];
+ r8 = b[8];
+ r9 = b[9];
+
+ s0 = a[0];
+ s1 = a[1];
+ s2 = a[2];
+ s3 = a[3];
+ s4 = a[4];
+ s5 = a[5];
+ s6 = a[6];
+ s7 = a[7];
+ s8 = a[8];
+ s9 = a[9];
+
+ m1 = mul64(r0, s1) + mul64(r1, s0);
+ m3 = mul64(r0, s3) + mul64(r1, s2) + mul64(r2, s1) + mul64(r3, s0);
+ m5 = mul64(r0, s5) + mul64(r1, s4) + mul64(r2, s3) + mul64(r3, s2)
+ + mul64(r4, s1) + mul64(r5, s0);
+ m7 = mul64(r0, s7) + mul64(r1, s6) + mul64(r2, s5) + mul64(r3, s4)
+ + mul64(r4, s3) + mul64(r5, s2) + mul64(r6, s1) + mul64(r7, s0);
+ m9 = mul64(r0, s9) + mul64(r1, s8) + mul64(r2, s7) + mul64(r3, s6)
+ + mul64(r4, s5) + mul64(r5, s4) + mul64(r6, s3) + mul64(r7, s2)
+ + mul64(r8, s1) + mul64(r9, s0);
+
+ r1 *= 2;
+ r3 *= 2;
+ r5 *= 2;
+ r7 *= 2;
+
+ m0 = mul64(r0, s0);
+ m2 = mul64(r0, s2) + mul64(r1, s1) + mul64(r2, s0);
+ m4 = mul64(r0, s4) + mul64(r1, s3) + mul64(r2, s2) + mul64(r3, s1)
+ + mul64(r4, s0);
+ m6 = mul64(r0, s6) + mul64(r1, s5) + mul64(r2, s4) + mul64(r3, s3)
+ + mul64(r4, s2) + mul64(r5, s1) + mul64(r6, s0);
+ m8 = mul64(r0, s8) + mul64(r1, s7) + mul64(r2, s6) + mul64(r3, s5)
+ + mul64(r4, s4) + mul64(r5, s3) + mul64(r6, s2) + mul64(r7, s1)
+ + mul64(r8, s0);
+
+ r1 *= 19;
+ r2 *= 19;
+ r3 = (r3 / 2) * 19;
+ r4 *= 19;
+ r5 = (r5 / 2) * 19;
+ r6 *= 19;
+ r7 = (r7 / 2) * 19;
+ r8 *= 19;
+ r9 *= 19;
+
+ m1 += mul64(r9, s2) + mul64(r8, s3) + mul64(r7, s4) + mul64(r6, s5)
+ + mul64(r5, s6) + mul64(r4, s7) + mul64(r3, s8) + mul64(r2, s9);
+ m3 += mul64(r9, s4) + mul64(r8, s5) + mul64(r7, s6) + mul64(r6, s7)
+ + mul64(r5, s8) + mul64(r4, s9);
+ m5 += mul64(r9, s6) + mul64(r8, s7) + mul64(r7, s8) + mul64(r6, s9);
+ m7 += mul64(r9, s8) + mul64(r8, s9);
+
+ r3 *= 2;
+ r5 *= 2;
+ r7 *= 2;
+ r9 *= 2;
+
+ m0 += mul64(r9, s1) + mul64(r8, s2) + mul64(r7, s3) + mul64(r6, s4)
+ + mul64(r5, s5) + mul64(r4, s6) + mul64(r3, s7) + mul64(r2, s8)
+ + mul64(r1, s9);
+ m2 += mul64(r9, s3) + mul64(r8, s4) + mul64(r7, s5) + mul64(r6, s6)
+ + mul64(r5, s7) + mul64(r4, s8) + mul64(r3, s9);
+ m4 += mul64(r9, s5) + mul64(r8, s6) + mul64(r7, s7) + mul64(r6, s8)
+ + mul64(r5, s9);
+ m6 += mul64(r9, s7) + mul64(r8, s8) + mul64(r7, s9);
+ m8 += mul64(r9, s9);
+
+ m1 += m0 >> 26; r1 = rdc25(m1);
+ m2 += m1 >> 25; r2 = rdc26(m2);
+ m3 += m2 >> 26; r3 = rdc25(m3);
+ m4 += m3 >> 25; r4 = rdc26(m4);
+ m5 += m4 >> 26; r5 = rdc25(m5);
+ m6 += m5 >> 25; r6 = rdc26(m6);
+ m7 += m6 >> 26; r7 = rdc25(m7);
+ m8 += m7 >> 25; r8 = rdc26(m8);
+ m9 += m8 >> 26; r9 = rdc25(m9);
+ m0 = rdc26(m0) + mul64(m9 >> 25, 19);
+ r0 = rdc26(m0); r1 += m0 >> 26;
+
+ out[0] = r0;
+ out[1] = r1;
+ out[2] = r2;
+ out[3] = r3;
+ out[4] = r4;
+ out[5] = r5;
+ out[6] = r6;
+ out[7] = r7;
+ out[8] = r8;
+ out[9] = r9;
+}
+
+/**
+ * out = in^(2 * count), inlining
+ */
+static inline void square_times(uint32_t out[10], uint32_t in[10], int count)
+{
+ uint32_t r0, r1, r2, r3, r4, r5, r6, r7, r8, r9;
+ uint32_t d6, d7, d8, d9;
+ uint64_t m0, m1, m2, m3, m4, m5, m6, m7, m8, m9;
+
+ r0 = in[0];
+ r1 = in[1];
+ r2 = in[2];
+ r3 = in[3];
+ r4 = in[4];
+ r5 = in[5];
+ r6 = in[6];
+ r7 = in[7];
+ r8 = in[8];
+ r9 = in[9];
+
+ while (count--)
+ {
+ m0 = mul64(r0, r0 );
+ r0 *= 2;
+ m1 = mul64(r0, r1 );
+ m2 = mul64(r0, r2 ) + mul64(r1, r1 * 2);
+ r1 *= 2;
+ m3 = mul64(r0, r3 ) + mul64(r1, r2 );
+ m4 = mul64(r0, r4 ) + mul64(r1, r3 * 2) + mul64(r2, r2);
+ r2 *= 2;
+ m5 = mul64(r0, r5 ) + mul64(r1, r4 ) + mul64(r2, r3);
+ m6 = mul64(r0, r6 ) + mul64(r1, r5 * 2) + mul64(r2, r4)
+ + mul64(r3, r3 * 2);
+ r3 *= 2;
+ m7 = mul64(r0, r7 ) + mul64(r1, r6 ) + mul64(r2, r5)
+ + mul64(r3, r4 );
+ m8 = mul64(r0, r8 ) + mul64(r1, r7 * 2) + mul64(r2, r6)
+ + mul64(r3, r5 * 2) + mul64(r4, r4 );
+ m9 = mul64(r0, r9 ) + mul64(r1, r8 ) + mul64(r2, r7)
+ + mul64(r3, r6 ) + mul64(r4, r5 * 2);
+
+ d6 = r6 * 19;
+ d7 = r7 * 2 * 19;
+ d8 = r8 * 19;
+ d9 = r9 * 2 * 19;
+
+ m0 += mul64(d9, r1 ) + mul64(d8, r2 ) + mul64(d7, r3 )
+ + mul64(d6, r4 * 2) + mul64(r5, r5 * 2 * 19);
+ m1 += mul64(d9, r2 / 2) + mul64(d8, r3 ) + mul64(d7, r4 )
+ + mul64(d6, r5 * 2);
+ m2 += mul64(d9, r3 ) + mul64(d8, r4 * 2) + mul64(d7, r5 * 2)
+ + mul64(d6, r6 );
+ m3 += mul64(d9, r4 ) + mul64(d8, r5 * 2) + mul64(d7, r6 );
+ m4 += mul64(d9, r5 * 2) + mul64(d8, r6 * 2) + mul64(d7, r7 );
+ m5 += mul64(d9, r6 ) + mul64(d8, r7 * 2);
+ m6 += mul64(d9, r7 * 2) + mul64(d8, r8 );
+ m7 += mul64(d9, r8 );
+ m8 += mul64(d9, r9 );
+
+ m1 += m0 >> 26; r1 = rdc25(m1);
+ m2 += m1 >> 25; r2 = rdc26(m2);
+ m3 += m2 >> 26; r3 = rdc25(m3);
+ m4 += m3 >> 25; r4 = rdc26(m4);
+ m5 += m4 >> 26; r5 = rdc25(m5);
+ m6 += m5 >> 25; r6 = rdc26(m6);
+ m7 += m6 >> 26; r7 = rdc25(m7);
+ m8 += m7 >> 25; r8 = rdc26(m8);
+ m9 += m8 >> 26; r9 = rdc25(m9);
+ m0 = rdc26(m0) + mul64(sr25(m9), 19);
+ r0 = rdc26(m0); r1 += sr26(m0);
+ }
+
+ out[0] = r0;
+ out[1] = r1;
+ out[2] = r2;
+ out[3] = r3;
+ out[4] = r4;
+ out[5] = r5;
+ out[6] = r6;
+ out[7] = r7;
+ out[8] = r8;
+ out[9] = r9;
+}
+
+/**
+ * out = in * in
+ */
+static void square(uint32_t out[10], uint32_t in[10])
+{
+ return square_times(out, in, 1);
+}
+
+/**
+ * Take a little-endian, 32-byte number and expand it into polynomial form
+ */
+static void expand(uint32_t out[10], u_char *in)
+{
+ uint32_t x0, x1, x2, x3, x4, x5, x6, x7;
+
+ x0 = uletoh32(in + 0);
+ x1 = uletoh32(in + 4);
+ x2 = uletoh32(in + 8);
+ x3 = uletoh32(in + 12);
+ x4 = uletoh32(in + 16);
+ x5 = uletoh32(in + 20);
+ x6 = uletoh32(in + 24);
+ x7 = uletoh32(in + 28);
+
+ out[0] = rdc26( x0 );
+ out[1] = rdc25((((uint64_t)x1 << 32) | x0) >> 26);
+ out[2] = rdc26((((uint64_t)x2 << 32) | x1) >> 19);
+ out[3] = rdc25((((uint64_t)x3 << 32) | x2) >> 13);
+ out[4] = rdc26(( x3) >> 6);
+ out[5] = rdc25( x4 );
+ out[6] = rdc26((((uint64_t)x5 << 32) | x4) >> 25);
+ out[7] = rdc25((((uint64_t)x6 << 32) | x5) >> 19);
+ out[8] = rdc26((((uint64_t)x7 << 32) | x6) >> 12);
+ out[9] = rdc25(( x7) >> 6);
+}
+
+/**
+ * Propagate carries in f
+ */
+static inline void carry(uint32_t f[10])
+{
+ f[1] += f[0] >> 26; f[0] = rdc26(f[0]);
+ f[2] += f[1] >> 25; f[1] = rdc25(f[1]);
+ f[3] += f[2] >> 26; f[2] = rdc26(f[2]);
+ f[4] += f[3] >> 25; f[3] = rdc25(f[3]);
+ f[5] += f[4] >> 26; f[4] = rdc26(f[4]);
+ f[6] += f[5] >> 25; f[5] = rdc25(f[5]);
+ f[7] += f[6] >> 26; f[6] = rdc26(f[6]);
+ f[8] += f[7] >> 25; f[7] = rdc25(f[7]);
+ f[9] += f[8] >> 26; f[8] = rdc26(f[8]);
+}
+
+/**
+ * Take a fully reduced polynomial form number and contract it into a
+ * little-endian, 32-byte array
+ */
+static void contract(u_char *out, uint32_t f[10])
+{
+ carry(f);
+ f[0] += 19 * (f[9] >> 25); f[9] = rdc25(f[9]);
+ carry(f);
+ f[0] += 19 * (f[9] >> 25); f[9] = rdc25(f[9]);
+
+ /* now t is between 0 and 2^255-1, properly carried.
+ * case 1: between 0 and 2^255-20.
+ * case 2: between 2^255-19 and 2^255-1.
+ */
+ f[0] += 19;
+ carry(f);
+ f[0] += 19 * (f[9] >> 25); f[9] = rdc25(f[9]);
+
+ /* now between 19 and 2^255-1 in both cases, and offset by 19. */
+ f[0] += (1 << 26) - 19;
+ f[1] += (1 << 25) - 1;
+ f[2] += (1 << 26) - 1;
+ f[3] += (1 << 25) - 1;
+ f[4] += (1 << 26) - 1;
+ f[5] += (1 << 25) - 1;
+ f[6] += (1 << 26) - 1;
+ f[7] += (1 << 25) - 1;
+ f[8] += (1 << 26) - 1;
+ f[9] += (1 << 25) - 1;
+
+ /* now between 2^255 and 2^256-20, and offset by 2^255. */
+ carry(f);
+ f[9] = rdc25(f[9]);
+
+ f[1] <<= 2;
+ f[2] <<= 3;
+ f[3] <<= 5;
+ f[4] <<= 6;
+ f[6] <<= 1;
+ f[7] <<= 3;
+ f[8] <<= 4;
+ f[9] <<= 6;
+
+ memset(out, 0, 32);
+ horule32(out + 0, f[0]);
+ horule32(out + 3, f[1]);
+ horule32(out + 6, f[2]);
+ horule32(out + 9, f[3]);
+ horule32(out + 12, f[4]);
+ horule32(out + 16, f[5]);
+ horule32(out + 19, f[6]);
+ horule32(out + 22, f[7]);
+ horule32(out + 25, f[8]);
+ horule32(out + 28, f[9]);
+}
+
+/**
+ * Swap the contents of x and q if swap is non-zero
+ */
+static void swap_conditional(uint32_t a[10], uint32_t b[10], uint32_t swap)
+{
+ uint32_t x0, x1, x2, x3, x4, x5, x6, x7, x8, x9;
+
+ swap = -swap;
+
+ x0 = swap & (a[0] ^ b[0]); a[0] ^= x0; b[0] ^= x0;
+ x1 = swap & (a[1] ^ b[1]); a[1] ^= x1; b[1] ^= x1;
+ x2 = swap & (a[2] ^ b[2]); a[2] ^= x2; b[2] ^= x2;
+ x3 = swap & (a[3] ^ b[3]); a[3] ^= x3; b[3] ^= x3;
+ x4 = swap & (a[4] ^ b[4]); a[4] ^= x4; b[4] ^= x4;
+ x5 = swap & (a[5] ^ b[5]); a[5] ^= x5; b[5] ^= x5;
+ x6 = swap & (a[6] ^ b[6]); a[6] ^= x6; b[6] ^= x6;
+ x7 = swap & (a[7] ^ b[7]); a[7] ^= x7; b[7] ^= x7;
+ x8 = swap & (a[8] ^ b[8]); a[8] ^= x8; b[8] ^= x8;
+ x9 = swap & (a[9] ^ b[9]); a[9] ^= x9; b[9] ^= x9;
+}
+
+/*
+ * In: b = 2^5 - 2^0
+ * Out: b = 2^250 - 2^0
+ */
+static void pow_two5mtwo0_two250mtwo0(uint32_t b[10])
+{
+ uint32_t t0[10], c[10];
+
+ /* 2^5 - 2^0 */ /* b */
+ /* 2^10 - 2^5 */ square_times(t0, b, 5);
+ /* 2^10 - 2^0 */ mul(b, t0, b);
+ /* 2^20 - 2^10 */ square_times(t0, b, 10);
+ /* 2^20 - 2^0 */ mul(c, t0, b);
+ /* 2^40 - 2^20 */ square_times(t0, c, 20);
+ /* 2^40 - 2^0 */ mul(t0, t0, c);
+ /* 2^50 - 2^10 */ square_times(t0, t0, 10);
+ /* 2^50 - 2^0 */ mul(b, t0, b);
+ /* 2^100 - 2^50 */ square_times(t0, b, 50);
+ /* 2^100 - 2^0 */ mul(c, t0, b);
+ /* 2^200 - 2^100 */ square_times(t0, c, 100);
+ /* 2^200 - 2^0 */ mul(t0, t0, c);
+ /* 2^250 - 2^50 */ square_times(t0, t0, 50);
+ /* 2^250 - 2^0 */ mul(b, t0, b);
+}
+
+/*
+ * z^(p - 2) = z(2^255 - 21)
+ */
+static void recip(uint32_t out[10], uint32_t z[10])
+{
+ uint32_t a[10], t0[10], b[10];
+
+ /* 2 */ square(a, z); /* a = 2 */
+ /* 8 */ square_times(t0, a, 2);
+ /* 9 */ mul(b, t0, z); /* b = 9 */
+ /* 11 */ mul(a, b, a); /* a = 11 */
+ /* 22 */ square(t0, a);
+ /* 2^5 - 2^0 = 31 */ mul(b, t0, b);
+ /* 2^250 - 2^0 */ pow_two5mtwo0_two250mtwo0(b);
+ /* 2^255 - 2^5 */ square_times(b, b, 5);
+ /* 2^255 - 21 */ mul(out, b, a);
+}
+
+METHOD(curve25519_drv_t, curve25519, bool,
+ private_curve25519_drv_t *this, u_char *in, u_char *out)
+{
+ uint32_t nqpqx[10] = {1}, nqpqz[10] = {0}, nqz[10] = {1}, nqx[10];
+ uint32_t q[10], qx[10], qpqx[10], qqx[10], zzz[10], zmone[10];
+ uint32_t bit, lastbit, i;
+
+ expand(q, in);
+ memcpy(nqx, q, sizeof(nqx));
+
+ /* bit 255 is always 0, and bit 254 is always 1, so skip bit 255 and
+ * start pre-swapped on bit 254 */
+ lastbit = 1;
+
+ /* we are doing bits 254..3 in the loop, but are swapping in bits 253..2 */
+ for (i = 253; i >= 2; i--)
+ {
+ add(qx, nqx, nqz);
+ sub(nqz, nqx, nqz);
+ add(qpqx, nqpqx, nqpqz);
+ sub(nqpqz, nqpqx, nqpqz);
+ mul(nqpqx, qpqx, nqz);
+ mul(nqpqz, qx, nqpqz);
+ add(qqx, nqpqx, nqpqz);
+ sub(nqpqz, nqpqx, nqpqz);
+ square(nqpqz, nqpqz);
+ square(nqpqx, qqx);
+ mul(nqpqz, nqpqz, q);
+ square(qx, qx);
+ square(nqz, nqz);
+ mul(nqx, qx, nqz);
+ sub(nqz, qx, nqz);
+ scalar_product(zzz, nqz, 121665);
+ add(zzz, zzz, qx);
+ mul(nqz, nqz, zzz);
+
+ bit = (this->key[i/8] >> (i & 7)) & 1;
+ swap_conditional(nqx, nqpqx, bit ^ lastbit);
+ swap_conditional(nqz, nqpqz, bit ^ lastbit);
+ lastbit = bit;
+ }
+
+ /* the final 3 bits are always zero, so we only need to double */
+ for (i = 0; i < 3; i++)
+ {
+ add(qx, nqx, nqz);
+ sub(nqz, nqx, nqz);
+ square(qx, qx);
+ square(nqz, nqz);
+ mul(nqx, qx, nqz);
+ sub(nqz, qx, nqz);
+ scalar_product(zzz, nqz, 121665);
+ add(zzz, zzz, qx);
+ mul(nqz, nqz, zzz);
+ }
+
+ recip(zmone, nqz);
+ mul(nqz, nqx, zmone);
+ contract(out, nqz);
+
+ return TRUE;
+}
+
+METHOD(curve25519_drv_t, destroy, void,
+ private_curve25519_drv_t *this)
+{
+ memwipe(this->key, sizeof(this->key));
+ free(this);
+}
+
+/**
+ * See header
+ */
+curve25519_drv_t *curve25519_drv_portable_create()
+{
+ private_curve25519_drv_t *this;
+
+ INIT(this,
+ .public = {
+ .set_key = _set_key,
+ .curve25519 = _curve25519,
+ .destroy = _destroy,
+ },
+ );
+
+ return &this->public;
+}
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_drv_portable.h b/src/libstrongswan/plugins/curve25519/curve25519_drv_portable.h
new file mode 100644
index 000000000..f0de0bd1c
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_drv_portable.h
@@ -0,0 +1,31 @@
+/*
+ * Copyright (C) 2015 Martin Willi
+ * Copyright (C) 2015 revosec AG
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+/**
+ * @defgroup curve25519_drv_portable curve25519_drv_portable
+ * @{ @ingroup curve25519_p
+ */
+
+#include "curve25519_drv.h"
+
+#ifndef CURVE25519_DRV_PORTABLE_H_
+#define CURVE25519_DRV_PORTABLE_H_
+
+/**
+ * Create a curve25519_drv_portable instance.
+ */
+curve25519_drv_t *curve25519_drv_portable_create();
+
+#endif /** CURVE25519_DRV_PORTABLE_H_ @}*/
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_identity_hasher.c b/src/libstrongswan/plugins/curve25519/curve25519_identity_hasher.c
new file mode 100644
index 000000000..a7ffdb114
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_identity_hasher.c
@@ -0,0 +1,25 @@
+/*
+ * Copyright (C) 2016 Andreas Steffen
+ * HSR Hochschule fuer Technik Rapperswil
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+#include "curve25519_identity_hasher.h"
+
+/*
+ * Described in header.
+ */
+curve25519_identity_hasher_t *curve25519_identity_hasher_create(hash_algorithm_t algo)
+{
+ /* since the identity hasher is never actually used, always return NULL */
+ return NULL;
+}
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_identity_hasher.h b/src/libstrongswan/plugins/curve25519/curve25519_identity_hasher.h
new file mode 100644
index 000000000..bf643b5d6
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_identity_hasher.h
@@ -0,0 +1,47 @@
+/*
+ * Copyright (C) 2016 Andreas Steffen
+ * HSR Hochschule fuer Technik Rapperswil
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+/**
+ * @defgroup curve25519_identity_hasher curve25519_identity_hasher
+ * @{ @ingroup curve25519_p
+ */
+
+#ifndef CURVE25519_IDENTITY_HASHER_H_
+#define CURVE25519_IDENTITY_HASHER_H_
+
+typedef struct curve25519_identity_hasher_t curve25519_identity_hasher_t;
+
+#include <crypto/hashers/hasher.h>
+
+/**
+ * Implementation of hasher_t interface using the Identity algorithm.
+ */
+struct curve25519_identity_hasher_t {
+
+ /**
+ * Implements hasher_t interface.
+ */
+ hasher_t hasher_interface;
+};
+
+/**
+ * Creates a new curve25519_identity_hasher_t.
+ *
+ * @param algo algorithm, must be HASH_IDENTITY
+ * @return curve25519_identity_hasher_t object
+ */
+curve25519_identity_hasher_t *curve25519_identity_hasher_create(hash_algorithm_t algo);
+
+#endif /** CURVE25519_IDENTITY_HASHER_H_ @}*/
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_plugin.c b/src/libstrongswan/plugins/curve25519/curve25519_plugin.c
new file mode 100644
index 000000000..48ca43a7a
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_plugin.c
@@ -0,0 +1,101 @@
+/*
+ * Copyright (C) 2014 Martin Willi
+ * Copyright (C) 2014 revosec AG
+ *
+ * Copyright (C) 2016 Andreas Steffen
+ * HSR Hochschule fuer Technik Rapperswil
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+#include "curve25519_plugin.h"
+#include "curve25519_dh.h"
+#include "curve25519_private_key.h"
+#include "curve25519_public_key.h"
+#include "curve25519_identity_hasher.h"
+
+#include <library.h>
+
+typedef struct private_curve25519_plugin_t private_curve25519_plugin_t;
+
+/**
+ * private data of curve25519_plugin
+ */
+struct private_curve25519_plugin_t {
+
+ /**
+ * public functions
+ */
+ curve25519_plugin_t public;
+};
+
+METHOD(plugin_t, get_name, char*,
+ private_curve25519_plugin_t *this)
+{
+ return "curve25519";
+}
+
+METHOD(plugin_t, get_features, int,
+ private_curve25519_plugin_t *this, plugin_feature_t *features[])
+{
+ static plugin_feature_t f[] = {
+ /* X25519 DH group */
+ PLUGIN_REGISTER(DH, curve25519_dh_create),
+ PLUGIN_PROVIDE(DH, CURVE_25519),
+ PLUGIN_DEPENDS(RNG, RNG_STRONG),
+ /* Ed25519 private/public keys */
+ PLUGIN_REGISTER(PRIVKEY, curve25519_private_key_load, TRUE),
+ PLUGIN_PROVIDE(PRIVKEY, KEY_ED25519),
+ PLUGIN_REGISTER(PRIVKEY_GEN, curve25519_private_key_gen, FALSE),
+ PLUGIN_PROVIDE(PRIVKEY_GEN, KEY_ED25519),
+ PLUGIN_DEPENDS(RNG, RNG_TRUE),
+ PLUGIN_DEPENDS(HASHER, HASH_SHA512),
+ PLUGIN_REGISTER(PUBKEY, curve25519_public_key_load, TRUE),
+ PLUGIN_PROVIDE(PUBKEY, KEY_ED25519),
+ /* Ed25519 signature scheme, private */
+ PLUGIN_PROVIDE(PRIVKEY_SIGN, SIGN_ED25519),
+ PLUGIN_DEPENDS(HASHER, HASH_SHA512),
+ /* Ed25519 signature verification scheme, public */
+ PLUGIN_PROVIDE(PUBKEY_VERIFY, SIGN_ED25519),
+ PLUGIN_DEPENDS(HASHER, HASH_SHA512),
+ /* register a pro forma identity hasher */
+ PLUGIN_REGISTER(HASHER, curve25519_identity_hasher_create),
+ PLUGIN_PROVIDE(HASHER, HASH_IDENTITY),
+ };
+ *features = f;
+ return countof(f);
+}
+
+METHOD(plugin_t, destroy, void,
+ private_curve25519_plugin_t *this)
+{
+ free(this);
+}
+
+/*
+ * see header file
+ */
+plugin_t *curve25519_plugin_create()
+{
+ private_curve25519_plugin_t *this;
+
+ INIT(this,
+ .public = {
+ .plugin = {
+ .get_name = _get_name,
+ .get_features = _get_features,
+ .destroy = _destroy,
+ },
+ },
+ );
+
+ return &this->public.plugin;
+}
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_plugin.h b/src/libstrongswan/plugins/curve25519/curve25519_plugin.h
new file mode 100644
index 000000000..94f2e4809
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_plugin.h
@@ -0,0 +1,42 @@
+/*
+ * Copyright (C) 2014 Martin Willi
+ * Copyright (C) 2014 revosec AG
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+/**
+ * @defgroup curve25519_p curve25519
+ * @ingroup plugins
+ *
+ * @defgroup curve25519_plugin curve25519_plugin
+ * @{ @ingroup curve25519_p
+ */
+
+#ifndef CURVE25519_PLUGIN_H_
+#define CURVE25519_PLUGIN_H_
+
+#include <plugins/plugin.h>
+
+typedef struct curve25519_plugin_t curve25519_plugin_t;
+
+/**
+ * Plugin providing a Curve25519 DH implementation
+ */
+struct curve25519_plugin_t {
+
+ /**
+ * implements plugin interface
+ */
+ plugin_t plugin;
+};
+
+#endif /** CURVE25519_PLUGIN_H_ @}*/
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_private_key.c b/src/libstrongswan/plugins/curve25519/curve25519_private_key.c
new file mode 100644
index 000000000..2a7303c4b
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_private_key.c
@@ -0,0 +1,346 @@
+/*
+ * Copyright (C) 2016 Andreas Steffen
+ * HSR Hochschule fuer Technik Rapperswil
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+#include "curve25519_private_key.h"
+#include "curve25519_public_key.h"
+#include "ref10/ref10.h"
+
+#include <asn1/asn1.h>
+#include <asn1/oid.h>
+
+#define _GNU_SOURCE
+#include <stdlib.h>
+
+typedef struct private_curve25519_private_key_t private_curve25519_private_key_t;
+
+/**
+ * Private data of a curve25519_private_key_t object.
+ */
+struct private_curve25519_private_key_t {
+ /**
+ * Public interface for this signer.
+ */
+ curve25519_private_key_t public;
+
+ /**
+ * Secret scalar s derived from private key.
+ */
+ uint8_t s[HASH_SIZE_SHA512];
+
+ /**
+ * Ed25519 private key
+ */
+ chunk_t key;
+
+ /**
+ * Ed25519 public key
+ */
+ chunk_t pubkey;
+
+ /**
+ * Reference count
+ */
+ refcount_t ref;
+};
+
+METHOD(private_key_t, get_type, key_type_t,
+ private_curve25519_private_key_t *this)
+{
+ return KEY_ED25519;
+}
+
+METHOD(private_key_t, sign, bool,
+ private_curve25519_private_key_t *this, signature_scheme_t scheme,
+ chunk_t data, chunk_t *signature)
+{
+ uint8_t r[HASH_SIZE_SHA512], k[HASH_SIZE_SHA512], sig[HASH_SIZE_SHA512];
+ hasher_t *hasher;
+ chunk_t prefix;
+ ge_p3 R;
+ bool success = FALSE;
+
+ if (scheme != SIGN_ED25519)
+ {
+ DBG1(DBG_LIB, "signature scheme %N not supported by Ed25519",
+ signature_scheme_names, scheme);
+ return FALSE;
+ }
+
+ hasher = lib->crypto->create_hasher(lib->crypto, HASH_SHA512);
+ if (!hasher)
+ {
+ return FALSE;
+ }
+ prefix = chunk_create(this->s + 32, 32);
+
+ if (!hasher->get_hash(hasher, prefix, NULL) ||
+ !hasher->get_hash(hasher, data, r))
+ {
+ goto end;
+ }
+ sc_reduce(r);
+ ge_scalarmult_base(&R, r);
+ ge_p3_tobytes(sig, &R);
+
+ if (!hasher->get_hash(hasher, chunk_create(sig, 32), NULL) ||
+ !hasher->get_hash(hasher, this->pubkey, NULL) ||
+ !hasher->get_hash(hasher, data, k))
+ {
+ goto end;
+ }
+ sc_reduce(k);
+ sc_muladd(sig + 32, k, this->s, r);
+
+ *signature = chunk_clone(chunk_create(sig, sizeof(sig)));
+ success = TRUE;
+
+end:
+ hasher->destroy(hasher);
+ return success;
+}
+
+METHOD(private_key_t, decrypt, bool,
+ private_curve25519_private_key_t *this, encryption_scheme_t scheme,
+ chunk_t crypto, chunk_t *plain)
+{
+ DBG1(DBG_LIB, "encryption scheme %N not supported", encryption_scheme_names,
+ scheme);
+ return FALSE;
+}
+
+METHOD(private_key_t, get_keysize, int,
+ private_curve25519_private_key_t *this)
+{
+ return 8 * ED25519_KEY_LEN;
+}
+
+METHOD(private_key_t, get_public_key, public_key_t*,
+ private_curve25519_private_key_t *this)
+{
+ public_key_t *public;
+ chunk_t pubkey;
+
+ pubkey = curve25519_public_key_info_encode(this->pubkey);
+ public = lib->creds->create(lib->creds, CRED_PUBLIC_KEY, KEY_ED25519,
+ BUILD_BLOB_ASN1_DER, pubkey, BUILD_END);
+ free(pubkey.ptr);
+
+ return public;
+}
+
+METHOD(private_key_t, get_encoding, bool,
+ private_curve25519_private_key_t *this, cred_encoding_type_t type,
+ chunk_t *encoding)
+{
+ switch (type)
+ {
+ case PRIVKEY_ASN1_DER:
+ case PRIVKEY_PEM:
+ {
+ bool success = TRUE;
+
+ *encoding = asn1_wrap(ASN1_SEQUENCE, "cms",
+ ASN1_INTEGER_0,
+ asn1_algorithmIdentifier(OID_ED25519),
+ asn1_wrap(ASN1_OCTET_STRING, "s",
+ asn1_simple_object(ASN1_OCTET_STRING, this->key)
+ )
+ );
+ if (type == PRIVKEY_PEM)
+ {
+ chunk_t asn1_encoding = *encoding;
+
+ success = lib->encoding->encode(lib->encoding, PRIVKEY_PEM,
+ NULL, encoding, CRED_PART_EDDSA_PRIV_ASN1_DER,
+ asn1_encoding, CRED_PART_END);
+ chunk_clear(&asn1_encoding);
+ }
+ return success;
+ }
+ default:
+ return FALSE;
+ }
+}
+
+METHOD(private_key_t, get_fingerprint, bool,
+ private_curve25519_private_key_t *this, cred_encoding_type_t type,
+ chunk_t *fp)
+{
+ bool success;
+
+ if (lib->encoding->get_cache(lib->encoding, type, this, fp))
+ {
+ return TRUE;
+ }
+ success = curve25519_public_key_fingerprint(this->pubkey, type, fp);
+ if (success)
+ {
+ lib->encoding->cache(lib->encoding, type, this, *fp);
+ }
+ return success;
+}
+
+METHOD(private_key_t, get_ref, private_key_t*,
+ private_curve25519_private_key_t *this)
+{
+ ref_get(&this->ref);
+ return &this->public.key;
+}
+
+METHOD(private_key_t, destroy, void,
+ private_curve25519_private_key_t *this)
+{
+ if (ref_put(&this->ref))
+ {
+ lib->encoding->clear_cache(lib->encoding, this);
+ memwipe(this->s, HASH_SIZE_SHA512);
+ chunk_clear(&this->key);
+ chunk_free(&this->pubkey);
+ free(this);
+ }
+}
+
+/**
+ * Internal generic constructor
+ */
+static private_curve25519_private_key_t *curve25519_private_key_create(chunk_t key)
+{
+ private_curve25519_private_key_t *this;
+ hasher_t *hasher;
+ ge_p3 A;
+
+ /* derive public key from private key */
+ hasher = lib->crypto->create_hasher(lib->crypto, HASH_SHA512);
+ if (!hasher)
+ {
+ chunk_clear(&key);
+ return NULL;
+ }
+
+ INIT(this,
+ .public = {
+ .key = {
+ .get_type = _get_type,
+ .sign = _sign,
+ .decrypt = _decrypt,
+ .get_keysize = _get_keysize,
+ .get_public_key = _get_public_key,
+ .equals = private_key_equals,
+ .belongs_to = private_key_belongs_to,
+ .get_fingerprint = _get_fingerprint,
+ .has_fingerprint = private_key_has_fingerprint,
+ .get_encoding = _get_encoding,
+ .get_ref = _get_ref,
+ .destroy = _destroy,
+ },
+ },
+ .key = key,
+ .pubkey = chunk_alloc(ED25519_KEY_LEN),
+ .ref = 1,
+ );
+
+ /* derive secret scalar s from private key */
+ if (!hasher->get_hash(hasher, key, this->s))
+ {
+ destroy(this);
+ hasher->destroy(hasher);
+ return NULL;
+ }
+ hasher->destroy(hasher);
+
+ this->s[0] &= 0xf8;
+ this->s[31] &= 0x3f;
+ this->s[31] |= 0x40;
+
+ /* derive public key */
+ ge_scalarmult_base(&A, this->s);
+ ge_p3_tobytes(this->pubkey.ptr, &A);
+
+ return this;
+}
+
+/**
+ * See header.
+ */
+curve25519_private_key_t *curve25519_private_key_gen(key_type_t type,
+ va_list args)
+{
+ private_curve25519_private_key_t *this;
+ chunk_t key;
+ rng_t *rng;
+
+ while (TRUE)
+ {
+ switch (va_arg(args, builder_part_t))
+ {
+ case BUILD_KEY_SIZE:
+ /* key_size argument is not needed */
+ va_arg(args, u_int);
+ continue;
+ case BUILD_END:
+ break;
+ default:
+ return NULL;
+ }
+ break;
+ }
+
+ /* generate 256 bit true random private key */
+ rng = lib->crypto->create_rng(lib->crypto, RNG_TRUE);
+ if (!rng || !rng->allocate_bytes(rng, ED25519_KEY_LEN, &key))
+ {
+ DESTROY_IF(rng);
+ return NULL;
+ }
+ rng->destroy(rng);
+
+ this = curve25519_private_key_create(key);
+
+ return this ? &this->public : NULL;
+}
+
+/**
+ * See header.
+ */
+curve25519_private_key_t *curve25519_private_key_load(key_type_t type,
+ va_list args)
+{
+ private_curve25519_private_key_t *this;
+ chunk_t key = chunk_empty;
+
+ while (TRUE)
+ {
+ switch (va_arg(args, builder_part_t))
+ {
+ case BUILD_EDDSA_PRIV_ASN1_DER:
+ key = va_arg(args, chunk_t);
+ continue;
+ case BUILD_END:
+ break;
+ default:
+ return NULL;
+ }
+ break;
+ }
+
+ if (!asn1_parse_simple_object(&key, ASN1_OCTET_STRING, 0, "EdPrivateKey") ||
+ key.len != ED25519_KEY_LEN)
+ {
+ return NULL;
+ }
+ this = curve25519_private_key_create(chunk_clone(key));
+
+ return this ? &this->public : NULL;
+}
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_private_key.h b/src/libstrongswan/plugins/curve25519/curve25519_private_key.h
new file mode 100644
index 000000000..26f474ffb
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_private_key.h
@@ -0,0 +1,60 @@
+/*
+ * Copyright (C) 2016 Andreas Steffen
+ * HSR Hochschule fuer Technik Rapperswil
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+/**
+ * @defgroup curve25519_private_key curve25519_private_key
+ * @{ @ingroup curve25519_p
+ */
+
+#ifndef CURVE25519_PRIVATE_KEY_H_
+#define CURVE25519_PRIVATE_KEY_H_
+
+#include <credentials/builder.h>
+#include <credentials/keys/private_key.h>
+
+typedef struct curve25519_private_key_t curve25519_private_key_t;
+
+/**
+ * Private_key_t implementation of Ed25519 signature algorithm.
+ */
+struct curve25519_private_key_t {
+
+ /**
+ * Implements private_key_t interface
+ */
+ private_key_t key;
+};
+
+/**
+ * Generate an Ed25519 private key.
+ *
+ * @param type type of the key, must be KEY_ED25519
+ * @param args builder_part_t argument list
+ * @return generated key, NULL on failure
+ */
+curve25519_private_key_t *curve25519_private_key_gen(key_type_t type,
+ va_list args);
+
+/**
+ * Load an Ed25519 private key.
+ *
+ * @param type type of the key, must be KEY_ED25519
+ * @param args builder_part_t argument list
+ * @return loaded key, NULL on failure
+ */
+curve25519_private_key_t *curve25519_private_key_load(key_type_t type,
+ va_list args);
+
+#endif /** CURVE25519_PRIVATE_KEY_H_ @}*/
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_public_key.c b/src/libstrongswan/plugins/curve25519/curve25519_public_key.c
new file mode 100644
index 000000000..d07776354
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_public_key.c
@@ -0,0 +1,331 @@
+/*
+ * Copyright (C) 2016 Andreas Steffen
+ * HSR Hochschule fuer Technik Rapperswil
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+#include "curve25519_public_key.h"
+#include "ref10/ref10.h"
+
+#include <asn1/asn1.h>
+#include <asn1/asn1_parser.h>
+#include <asn1/oid.h>
+
+typedef struct private_curve25519_public_key_t private_curve25519_public_key_t;
+
+/**
+ * Private data structure with signing context.
+ */
+struct private_curve25519_public_key_t {
+ /**
+ * Public interface for this signer.
+ */
+ curve25519_public_key_t public;
+
+ /**
+ * Ed25519 public key
+ */
+ chunk_t pubkey;
+
+ /**
+ * Reference counter
+ */
+ refcount_t ref;
+};
+
+METHOD(public_key_t, get_type, key_type_t,
+ private_curve25519_public_key_t *this)
+{
+ return KEY_ED25519;
+}
+
+METHOD(public_key_t, verify, bool,
+ private_curve25519_public_key_t *this, signature_scheme_t scheme,
+ chunk_t data, chunk_t signature)
+{
+ hasher_t *hasher;
+ uint8_t d = 0, k[HASH_SIZE_SHA512], r[32], *sig;
+ int i;
+ ge_p3 A;
+ ge_p2 R;
+
+ if (scheme != SIGN_ED25519)
+ {
+ DBG1(DBG_LIB, "signature scheme %N not supported by Ed25519",
+ signature_scheme_names, scheme);
+ return FALSE;
+ }
+
+ if (signature.len != 64)
+ {
+ DBG1(DBG_LIB, "size of Ed25519 signature is not 64 bytes");
+ return FALSE;
+ }
+ sig = signature.ptr;
+
+ if (sig[63] & 0xe0)
+ {
+ DBG1(DBG_LIB, "the three most significant bits of Ed25519 signature "
+ "are not zero");
+ return FALSE;
+ }
+
+ if (ge_frombytes_negate_vartime(&A, this->pubkey.ptr) != 0)
+ {
+ return FALSE;
+ }
+
+ /* check for all-zeroes public key */
+ for (i = 0; i < 32; i++)
+ {
+ d |= this->pubkey.ptr[i];
+ }
+ if (!d)
+ {
+ return FALSE;
+ }
+
+ hasher = lib->crypto->create_hasher(lib->crypto, HASH_SHA512);
+ if (!hasher)
+ {
+ return FALSE;
+ }
+ if (!hasher->get_hash(hasher, chunk_create(sig, 32), NULL) ||
+ !hasher->get_hash(hasher, this->pubkey, NULL) ||
+ !hasher->get_hash(hasher, data, k))
+ {
+ hasher->destroy(hasher);
+ return FALSE;
+ }
+ hasher->destroy(hasher);
+
+ sc_reduce(k);
+ ge_double_scalarmult_vartime(&R, k, &A, sig + 32);
+ ge_tobytes(r, &R);
+
+ return memeq_const(sig, r, 32);
+}
+
+METHOD(public_key_t, encrypt_, bool,
+ private_curve25519_public_key_t *this, encryption_scheme_t scheme,
+ chunk_t plain, chunk_t *crypto)
+{
+ DBG1(DBG_LIB, "encryption scheme %N not supported", encryption_scheme_names,
+ scheme);
+ return FALSE;
+}
+
+METHOD(public_key_t, get_keysize, int,
+ private_curve25519_public_key_t *this)
+{
+ return 8 * ED25519_KEY_LEN;
+}
+
+METHOD(public_key_t, get_encoding, bool,
+ private_curve25519_public_key_t *this, cred_encoding_type_t type,
+ chunk_t *encoding)
+{
+ bool success = TRUE;
+
+ *encoding = curve25519_public_key_info_encode(this->pubkey);
+
+ if (type != PUBKEY_SPKI_ASN1_DER)
+ {
+ chunk_t asn1_encoding = *encoding;
+
+ success = lib->encoding->encode(lib->encoding, type,
+ NULL, encoding, CRED_PART_EDDSA_PUB_ASN1_DER,
+ asn1_encoding, CRED_PART_END);
+ chunk_clear(&asn1_encoding);
+ }
+ return success;
+}
+
+METHOD(public_key_t, get_fingerprint, bool,
+ private_curve25519_public_key_t *this, cred_encoding_type_t type,
+ chunk_t *fp)
+{
+ bool success;
+
+ if (lib->encoding->get_cache(lib->encoding, type, this, fp))
+ {
+ return TRUE;
+ }
+ success = curve25519_public_key_fingerprint(this->pubkey, type, fp);
+ if (success)
+ {
+ lib->encoding->cache(lib->encoding, type, this, *fp);
+ }
+ return success;
+}
+
+METHOD(public_key_t, get_ref, public_key_t*,
+ private_curve25519_public_key_t *this)
+{
+ ref_get(&this->ref);
+ return &this->public.key;
+}
+
+METHOD(public_key_t, destroy, void,
+ private_curve25519_public_key_t *this)
+{
+ if (ref_put(&this->ref))
+ {
+ lib->encoding->clear_cache(lib->encoding, this);
+ free(this->pubkey.ptr);
+ free(this);
+ }
+}
+
+/**
+ * ASN.1 definition of an Ed25519 public key
+ */
+static const asn1Object_t pubkeyObjects[] = {
+ { 0, "subjectPublicKeyInfo",ASN1_SEQUENCE, ASN1_NONE }, /* 0 */
+ { 1, "algorithm", ASN1_EOC, ASN1_RAW }, /* 1 */
+ { 1, "subjectPublicKey", ASN1_BIT_STRING, ASN1_BODY }, /* 2 */
+ { 0, "exit", ASN1_EOC, ASN1_EXIT }
+};
+
+#define ED25519_SUBJECT_PUBLIC_KEY_ALGORITHM 1
+#define ED25519_SUBJECT_PUBLIC_KEY 2
+
+/**
+ * See header.
+ */
+curve25519_public_key_t *curve25519_public_key_load(key_type_t type,
+ va_list args)
+{
+ private_curve25519_public_key_t *this;
+ chunk_t blob = chunk_empty, object;
+ asn1_parser_t *parser;
+ bool success = FALSE;
+ int objectID, oid;
+
+ while (TRUE)
+ {
+ switch (va_arg(args, builder_part_t))
+ {
+ case BUILD_BLOB_ASN1_DER:
+ blob = va_arg(args, chunk_t);
+ continue;
+ case BUILD_END:
+ break;
+ default:
+ return NULL;
+ }
+ break;
+ }
+
+ INIT(this,
+ .public = {
+ .key = {
+ .get_type = _get_type,
+ .verify = _verify,
+ .encrypt = _encrypt_,
+ .equals = public_key_equals,
+ .get_keysize = _get_keysize,
+ .get_fingerprint = _get_fingerprint,
+ .has_fingerprint = public_key_has_fingerprint,
+ .get_encoding = _get_encoding,
+ .get_ref = _get_ref,
+ .destroy = _destroy,
+ },
+ },
+ .ref = 1,
+ );
+
+ parser = asn1_parser_create(pubkeyObjects, blob);
+
+ while (parser->iterate(parser, &objectID, &object))
+ {
+ switch (objectID)
+ {
+ case ED25519_SUBJECT_PUBLIC_KEY_ALGORITHM:
+ {
+ oid = asn1_parse_algorithmIdentifier(object,
+ parser->get_level(parser) + 1, NULL);
+ if (oid != OID_ED25519)
+ {
+ goto end;
+ }
+ break;
+ }
+ case ED25519_SUBJECT_PUBLIC_KEY:
+ {
+ /* encoded as an ASN1 BIT STRING */
+ if (object.len != 1 + ED25519_KEY_LEN)
+ {
+ goto end;
+ }
+ this->pubkey = chunk_clone(chunk_skip(object, 1));
+ break;
+ }
+ }
+ }
+ success = parser->success(parser);
+
+end:
+ parser->destroy(parser);
+ if (!success)
+ {
+ destroy(this);
+ return NULL;
+ }
+ return &this->public;
+}
+
+/**
+ * See header.
+ */
+chunk_t curve25519_public_key_info_encode(chunk_t pubkey)
+{
+ return asn1_wrap(ASN1_SEQUENCE, "mm",
+ asn1_wrap(ASN1_SEQUENCE, "m",
+ asn1_build_known_oid(OID_ED25519)),
+ asn1_bitstring("c", pubkey));
+}
+
+/**
+ * See header.
+ */
+bool curve25519_public_key_fingerprint(chunk_t pubkey,
+ cred_encoding_type_t type, chunk_t *fp)
+{
+ hasher_t *hasher;
+ chunk_t key;
+
+ switch (type)
+ {
+ case KEYID_PUBKEY_SHA1:
+ key = chunk_clone(pubkey);
+ break;
+ case KEYID_PUBKEY_INFO_SHA1:
+ key = curve25519_public_key_info_encode(pubkey);
+ break;
+ default:
+ return FALSE;
+ }
+
+ hasher = lib->crypto->create_hasher(lib->crypto, HASH_SHA1);
+ if (!hasher || !hasher->allocate_hash(hasher, key, fp))
+ {
+ DBG1(DBG_LIB, "SHA1 hash algorithm not supported, "
+ "fingerprinting failed");
+ DESTROY_IF(hasher);
+ free(key.ptr);
+ return FALSE;
+ }
+ hasher->destroy(hasher);
+ free(key.ptr);
+ return TRUE;
+}
diff --git a/src/libstrongswan/plugins/curve25519/curve25519_public_key.h b/src/libstrongswan/plugins/curve25519/curve25519_public_key.h
new file mode 100644
index 000000000..5f6ae175a
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/curve25519_public_key.h
@@ -0,0 +1,74 @@
+/*
+ * Copyright (C) 2016 Andreas Steffen
+ * HSR Hochschule fuer Technik Rapperswil
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by the
+ * Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * for more details.
+ */
+
+/**
+ * @defgroup curve25519_public_key curve25519_public_key
+ * @{ @ingroup curve25519_p
+ */
+
+#ifndef CURVE25519_PUBLIC_KEY_H_
+#define CURVE25519_PUBLIC_KEY_H_
+
+#include <credentials/builder.h>
+#include <credentials/cred_encoding.h>
+#include <credentials/keys/public_key.h>
+
+typedef struct curve25519_public_key_t curve25519_public_key_t;
+
+#define ED25519_KEY_LEN 32
+
+/**
+ * public_key_t implementation of Ed25519 signature algorithm
+ */
+struct curve25519_public_key_t {
+
+ /**
+ * Implements the public_key_t interface
+ */
+ public_key_t key;
+};
+
+/**
+ * Load an Ed25519 public key.
+ *
+ * @param type type of the key, must be KEY_ED25519
+ * @param args builder_part_t argument list
+ * @return loaded key, NULL on failure
+ */
+curve25519_public_key_t *curve25519_public_key_load(key_type_t type,
+ va_list args);
+
+/* The following functions are shared with the curve25519_private_key class */
+
+/**
+ * Encode a Ed25519 subjectPublicKeyInfo record in ASN.1 DER format
+ *
+ * @param pubkey Ed25519 public key
+ * @result ASN.1 encoded subjectPublicKeyInfo record
+ */
+chunk_t curve25519_public_key_info_encode(chunk_t pubkey);
+
+/**
+ * Generate a Ed25519 public key fingerprint
+ *
+ * @param pubkey Ed25519 public key
+ * @param type type of fingerprint to be generated
+ * @param fp generated fingerprint (must be freed by caller)
+ * @result TRUE if generation was successful
+ */
+bool curve25519_public_key_fingerprint(chunk_t pubkey,
+ cred_encoding_type_t type, chunk_t *fp);
+
+#endif /** CURVE25519_PUBLIC_KEY_H_ @}*/
diff --git a/src/libstrongswan/plugins/curve25519/ref10/base.h b/src/libstrongswan/plugins/curve25519/ref10/base.h
new file mode 100644
index 000000000..d3f60cad6
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/ref10/base.h
@@ -0,0 +1,2121 @@
+/*
+ * Copyright (C) 2016 Andreas Steffen
+ * HSR Hochschule fuer Technik Rapperswil
+ *
+ * Based on the public domain libsodium adaptation by Frank Denis
+ * of the SUPERCOP ref10 implementation by Daniel J. Bernstein,
+ * Niels Duif, Peter Schwabe, Tanja Lange and Bo-Yin Yang.
+ */
+
+ {
+ {
+ { 25967493, -14356035, 29566456, 3660896, -12694345,
+ 4014787, 27544626, -11754271, -6079156, 2047605 },
+ { -12545711, 934262, -2722910, 3049990, -727428,
+ 9406986, 12720692, 5043384, 19500929, -15469378 },
+ { -8738181, 4489570, 9688441, -14785194, 10184609,
+ -12363380, 29287919, 11864899, -24514362, -4438546 }
+ },
+ {
+ { -12815894, -12976347, -21581243, 11784320, -25355658,
+ -2750717, -11717903, -3814571, -358445, -10211303 },
+ { -21703237, 6903825, 27185491, 6451973, -29577724,
+ -9554005, -15616551, 11189268, -26829678, -5319081 },
+ { 26966642, 11152617, 32442495, 15396054, 14353839,
+ -12752335, -3128826, -9541118, -15472047, -4166697 }
+ },
+ {
+ { 15636291, -9688557, 24204773, -7912398, 616977,
+ -16685262, 27787600, -14772189, 28944400, -1550024 },
+ { 16568933, 4717097, -11556148, -1102322, 15682896,
+ -11807043, 16354577, -11775962, 7689662, 11199574 },
+ { 30464156, -5976125, -11779434, -15670865, 23220365,
+ 15915852, 7512774, 10017326, -17749093, -9920357 }
+ },
+ {
+ { -17036878, 13921892, 10945806, -6033431, 27105052,
+ -16084379, -28926210, 15006023, 3284568, -6276540 },
+ { 23599295, -8306047, -11193664, -7687416, 13236774,
+ 10506355, 7464579, 9656445, 13059162, 10374397 },
+ { 7798556, 16710257, 3033922, 2874086, 28997861,
+ 2835604, 32406664, -3839045, -641708, -101325 }
+ },
+ {
+ { 10861363, 11473154, 27284546, 1981175, -30064349,
+ 12577861, 32867885, 14515107, -15438304, 10819380 },
+ { 4708026, 6336745, 20377586, 9066809, -11272109,
+ 6594696, -25653668, 12483688, -12668491, 5581306 },
+ { 19563160, 16186464, -29386857, 4097519, 10237984,
+ -4348115, 28542350, 13850243, -23678021, -15815942 }
+ },
+ {
+ { -15371964, -12862754, 32573250, 4720197, -26436522,
+ 5875511, -19188627, -15224819, -9818940, -12085777 },
+ { -8549212, 109983, 15149363, 2178705, 22900618,
+ 4543417, 3044240, -15689887, 1762328, 14866737 },
+ { -18199695, -15951423, -10473290, 1707278, -17185920,
+ 3916101, -28236412, 3959421, 27914454, 4383652 }
+ },
+ {
+ { 5153746, 9909285, 1723747, -2777874, 30523605,
+ 5516873, 19480852, 5230134, -23952439, -15175766 },
+ { -30269007, -3463509, 7665486, 10083793, 28475525,
+ 1649722, 20654025, 16520125, 30598449, 7715701 },
+ { 28881845, 14381568, 9657904, 3680757, -20181635,
+ 7843316, -31400660, 1370708, 29794553, -1409300 }
+ },
+ {
+ { 14499471, -2729599, -33191113, -4254652, 28494862,
+ 14271267, 30290735, 10876454, -33154098, 2381726 },
+ { -7195431, -2655363, -14730155, 462251, -27724326,
+ 3941372, -6236617, 3696005, -32300832, 15351955 },
+ { 27431194, 8222322, 16448760, -3907995, -18707002,
+ 11938355, -32961401, -2970515, 29551813, 10109425 }
+ }
+ },
+ {
+ {
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+ { 33338237, -8505733, 12532113, 7977527, 9106186,
+ -1715251, -17720195, -4612972, -4451357, -14669444 }
+ },
+ {
+ { -20045281, 5454097, -14346548, 6447146, 28862071,
+ 1883651, -2469266, -4141880, 7770569, 9620597 },
+ { 23208068, 7979712, 33071466, 8149229, 1758231,
+ -10834995, 30945528, -1694323, -33502340, -14767970 },
+ { 1439958, -16270480, -1079989, -793782, 4625402,
+ 10647766, -5043801, 1220118, 30494170, -11440799 }
+ },
+ {
+ { -5037580, -13028295, -2970559, -3061767, 15640974,
+ -6701666, -26739026, 926050, -1684339, -13333647 },
+ { 13908495, -3549272, 30919928, -6273825, -21521863,
+ 7989039, 9021034, 9078865, 3353509, 4033511 },
+ { -29663431, -15113610, 32259991, -344482, 24295849,
+ -12912123, 23161163, 8839127, 27485041, 7356032 }
+ }
+ },
+ {
+ {
+ { 9661027, 705443, 11980065, -5370154, -1628543,
+ 14661173, -6346142, 2625015, 28431036, -16771834 },
+ { -23839233, -8311415, -25945511, 7480958, -17681669,
+ -8354183, -22545972, 14150565, 15970762, 4099461 },
+ { 29262576, 16756590, 26350592, -8793563, 8529671,
+ -11208050, 13617293, -9937143, 11465739, 8317062 }
+ },
+ {
+ { -25493081, -6962928, 32500200, -9419051, -23038724,
+ -2302222, 14898637, 3848455, 20969334, -5157516 },
+ { -20384450, -14347713, -18336405, 13884722, -33039454,
+ 2842114, -21610826, -3649888, 11177095, 14989547 },
+ { -24496721, -11716016, 16959896, 2278463, 12066309,
+ 10137771, 13515641, 2581286, -28487508, 9930240 }
+ },
+ {
+ { -17751622, -2097826, 16544300, -13009300, -15914807,
+ -14949081, 18345767, -13403753, 16291481, -5314038 },
+ { -33229194, 2553288, 32678213, 9875984, 8534129,
+ 6889387, -9676774, 6957617, 4368891, 9788741 },
+ { 16660756, 7281060, -10830758, 12911820, 20108584,
+ -8101676, -21722536, -8613148, 16250552, -11111103 }
+ },
+ {
+ { -19765507, 2390526, -16551031, 14161980, 1905286,
+ 6414907, 4689584, 10604807, -30190403, 4782747 },
+ { -1354539, 14736941, -7367442, -13292886, 7710542,
+ -14155590, -9981571, 4383045, 22546403, 437323 },
+ { 31665577, -12180464, -16186830, 1491339, -18368625,
+ 3294682, 27343084, 2786261, -30633590, -14097016 }
+ },
+ {
+ { -14467279, -683715, -33374107, 7448552, 19294360,
+ 14334329, -19690631, 2355319, -19284671, -6114373 },
+ { 15121312, -15796162, 6377020, -6031361, -10798111,
+ -12957845, 18952177, 15496498, -29380133, 11754228 },
+ { -2637277, -13483075, 8488727, -14303896, 12728761,
+ -1622493, 7141596, 11724556, 22761615, -10134141 }
+ },
+ {
+ { 16918416, 11729663, -18083579, 3022987, -31015732,
+ -13339659, -28741185, -12227393, 32851222, 11717399 },
+ { 11166634, 7338049, -6722523, 4531520, -29468672,
+ -7302055, 31474879, 3483633, -1193175, -4030831 },
+ { -185635, 9921305, 31456609, -13536438, -12013818,
+ 13348923, 33142652, 6546660, -19985279, -3948376 }
+ },
+ {
+ { -32460596, 11266712, -11197107, -7899103, 31703694,
+ 3855903, -8537131, -12833048, -30772034, -15486313 },
+ { -18006477, 12709068, 3991746, -6479188, -21491523,
+ -10550425, -31135347, -16049879, 10928917, 3011958 },
+ { -6957757, -15594337, 31696059, 334240, 29576716,
+ 14796075, -30831056, -12805180, 18008031, 10258577 }
+ },
+ {
+ { -22448644, 15655569, 7018479, -4410003, -30314266,
+ -1201591, -1853465, 1367120, 25127874, 6671743 },
+ { 29701166, -14373934, -10878120, 9279288, -17568,
+ 13127210, 21382910, 11042292, 25838796, 4642684 },
+ { -20430234, 14955537, -24126347, 8124619, -5369288,
+ -5990470, 30468147, -13900640, 18423289, 4177476 }
+ }
+ }
diff --git a/src/libstrongswan/plugins/curve25519/ref10/base2.h b/src/libstrongswan/plugins/curve25519/ref10/base2.h
new file mode 100644
index 000000000..f0f2b19f2
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/ref10/base2.h
@@ -0,0 +1,73 @@
+/*
+ * Copyright (C) 2016 Andreas Steffen
+ * HSR Hochschule fuer Technik Rapperswil
+ *
+ * Based on the public domain libsodium adaptation by Frank Denis
+ * of the SUPERCOP ref10 implementation by Daniel J. Bernstein,
+ * Niels Duif, Peter Schwabe, Tanja Lange and Bo-Yin Yang.
+ */
+
+ {
+ { 25967493, -14356035, 29566456, 3660896, -12694345,
+ 4014787, 27544626, -11754271, -6079156, 2047605 },
+ { -12545711, 934262, -2722910, 3049990, -727428,
+ 9406986, 12720692, 5043384, 19500929, -15469378 },
+ { -8738181, 4489570, 9688441, -14785194, 10184609,
+ -12363380, 29287919, 11864899, -24514362, -4438546 }
+ },
+ {
+ { 15636291, -9688557, 24204773, -7912398, 616977,
+ -16685262, 27787600, -14772189, 28944400, -1550024 },
+ { 16568933, 4717097, -11556148, -1102322, 15682896,
+ -11807043, 16354577, -11775962, 7689662, 11199574 },
+ { 30464156, -5976125, -11779434, -15670865, 23220365,
+ 15915852, 7512774, 10017326, -17749093, -9920357 }
+ },
+ {
+ { 10861363, 11473154, 27284546, 1981175, -30064349,
+ 12577861, 32867885, 14515107, -15438304, 10819380 },
+ { 4708026, 6336745, 20377586, 9066809, -11272109,
+ 6594696, -25653668, 12483688, -12668491, 5581306 },
+ { 19563160, 16186464, -29386857, 4097519, 10237984,
+ -4348115, 28542350, 13850243, -23678021, -15815942 }
+ },
+ {
+ { 5153746, 9909285, 1723747, -2777874, 30523605,
+ 5516873, 19480852, 5230134, -23952439, -15175766 },
+ { -30269007, -3463509, 7665486, 10083793, 28475525,
+ 1649722, 20654025, 16520125, 30598449, 7715701 },
+ { 28881845, 14381568, 9657904, 3680757, -20181635,
+ 7843316, -31400660, 1370708, 29794553, -1409300 }
+ },
+ {
+ { -22518993, -6692182, 14201702, -8745502, -23510406,
+ 8844726, 18474211, -1361450, -13062696, 13821877 },
+ { -6455177, -7839871, 3374702, -4740862, -27098617,
+ -10571707, 31655028, -7212327, 18853322, -14220951 },
+ { 4566830, -12963868, -28974889, -12240689, -7602672,
+ -2830569, -8514358, -10431137, 2207753, -3209784 }
+ },
+ {
+ { -25154831, -4185821, 29681144, 7868801, -6854661,
+ -9423865, -12437364, -663000, -31111463, -16132436 },
+ { 25576264, -2703214, 7349804, -11814844, 16472782,
+ 9300885, 3844789, 15725684, 171356, 6466918 },
+ { 23103977, 13316479, 9739013, -16149481, 817875,
+ -15038942, 8965339, -14088058, -30714912, 16193877 }
+ },
+ {
+ { -33521811, 3180713, -2394130, 14003687, -16903474,
+ -16270840, 17238398, 4729455, -18074513, 9256800 },
+ { -25182317, -4174131, 32336398, 5036987, -21236817,
+ 11360617, 22616405, 9761698, -19827198, 630305 },
+ { -13720693, 2639453, -24237460, -7406481, 9494427,
+ -5774029, -6554551, -15960994, -2449256, -14291300 }
+ },
+ {
+ { -3151181, -5046075, 9282714, 6866145, -31907062,
+ -863023, -18940575, 15033784, 25105118, -7894876 },
+ { -24326370, 15950226, -31801215, -14592823, -11662737,
+ -5090925, 1573892, -2625887, 2198790, -15804619 },
+ { -3099351, 10324967, -2241613, 7453183, -5446979,
+ -2735503, -13812022, -16236442, -32461234, -12290683 }
+ }
diff --git a/src/libstrongswan/plugins/curve25519/ref10/ref10.c b/src/libstrongswan/plugins/curve25519/ref10/ref10.c
new file mode 100644
index 000000000..1e6ff778e
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/ref10/ref10.c
@@ -0,0 +1,2731 @@
+/*
+ * Copyright (C) 2016 Andreas Steffen
+ * HSR Hochschule fuer Technik Rapperswil
+ *
+ * Based on the public domain libsodium adaptation by Frank Denis
+ * of the SUPERCOP ref10 implementation by Daniel J. Bernstein,
+ * Niels Duif, Peter Schwabe, Tanja Lange and Bo-Yin Yang.
+ */
+
+#include <stddef.h>
+#include <stdint.h>
+#include <string.h>
+
+#include "ref10.h"
+
+#include <utils/utils.h>
+
+static uint64_t load_3(const uint8_t *in)
+{
+ uint64_t result;
+
+ result = (uint64_t) in[0];
+ result |= ((uint64_t) in[1]) << 8;
+ result |= ((uint64_t) in[2]) << 16;
+
+ return result;
+}
+
+static uint64_t load_4(const uint8_t *in)
+{
+ uint64_t result;
+
+ result = (uint64_t) in[0];
+ result |= ((uint64_t) in[1]) << 8;
+ result |= ((uint64_t) in[2]) << 16;
+ result |= ((uint64_t) in[3]) << 24;
+
+ return result;
+}
+
+/**
+ * h = 0
+ */
+static void fe_0(fe h)
+{
+ memset(&h[0], 0, 10 * sizeof h[0]);
+}
+
+/**
+ * h = 1
+ */
+static void fe_1(fe h)
+{
+ h[0] = 1;
+ h[1] = 0;
+ memset(&h[2], 0, 8 * sizeof h[0]);
+}
+
+/**
+ * h = f + g
+ * Can overlap h with f or g.
+ *
+ * Preconditions:
+ * |f| bounded by 1.1*2^25, 1.1*2^24, 1.1*2^25, 1.1*2^24, etc.
+ * |g| bounded by 1.1*2^25, 1.1*2^24, 1.1*2^25, 1.1*2^24, etc.
+ *
+ * Postconditions:
+ * |h| bounded by 1.1*2^26, 1.1*2^25, 1.1*2^26, 1.1*2^25, etc.
+ */
+static void fe_add(fe h, const fe f, const fe g)
+{
+ int32_t f0 = f[0];
+ int32_t f1 = f[1];
+ int32_t f2 = f[2];
+ int32_t f3 = f[3];
+ int32_t f4 = f[4];
+ int32_t f5 = f[5];
+ int32_t f6 = f[6];
+ int32_t f7 = f[7];
+ int32_t f8 = f[8];
+ int32_t f9 = f[9];
+
+ int32_t g0 = g[0];
+ int32_t g1 = g[1];
+ int32_t g2 = g[2];
+ int32_t g3 = g[3];
+ int32_t g4 = g[4];
+ int32_t g5 = g[5];
+ int32_t g6 = g[6];
+ int32_t g7 = g[7];
+ int32_t g8 = g[8];
+ int32_t g9 = g[9];
+
+ int32_t h0 = f0 + g0;
+ int32_t h1 = f1 + g1;
+ int32_t h2 = f2 + g2;
+ int32_t h3 = f3 + g3;
+ int32_t h4 = f4 + g4;
+ int32_t h5 = f5 + g5;
+ int32_t h6 = f6 + g6;
+ int32_t h7 = f7 + g7;
+ int32_t h8 = f8 + g8;
+ int32_t h9 = f9 + g9;
+
+ h[0] = h0;
+ h[1] = h1;
+ h[2] = h2;
+ h[3] = h3;
+ h[4] = h4;
+ h[5] = h5;
+ h[6] = h6;
+ h[7] = h7;
+ h[8] = h8;
+ h[9] = h9;
+}
+
+/**
+ * Replace (f,g) with (g,g) if b == 1;
+ * replace (f,g) with (f,g) if b == 0.
+ *
+ * Preconditions: b in {0,1}.
+ */
+static void fe_cmov(fe f, const fe g, unsigned int b)
+{
+ int32_t f0 = f[0];
+ int32_t f1 = f[1];
+ int32_t f2 = f[2];
+ int32_t f3 = f[3];
+ int32_t f4 = f[4];
+ int32_t f5 = f[5];
+ int32_t f6 = f[6];
+ int32_t f7 = f[7];
+ int32_t f8 = f[8];
+ int32_t f9 = f[9];
+
+ int32_t g0 = g[0];
+ int32_t g1 = g[1];
+ int32_t g2 = g[2];
+ int32_t g3 = g[3];
+ int32_t g4 = g[4];
+ int32_t g5 = g[5];
+ int32_t g6 = g[6];
+ int32_t g7 = g[7];
+ int32_t g8 = g[8];
+ int32_t g9 = g[9];
+
+ int32_t x0 = f0 ^ g0;
+ int32_t x1 = f1 ^ g1;
+ int32_t x2 = f2 ^ g2;
+ int32_t x3 = f3 ^ g3;
+ int32_t x4 = f4 ^ g4;
+ int32_t x5 = f5 ^ g5;
+ int32_t x6 = f6 ^ g6;
+ int32_t x7 = f7 ^ g7;
+ int32_t x8 = f8 ^ g8;
+ int32_t x9 = f9 ^ g9;
+
+ b = (unsigned int) (- (int) b);
+
+ x0 &= b;
+ x1 &= b;
+ x2 &= b;
+ x3 &= b;
+ x4 &= b;
+ x5 &= b;
+ x6 &= b;
+ x7 &= b;
+ x8 &= b;
+ x9 &= b;
+
+ f[0] = f0 ^ x0;
+ f[1] = f1 ^ x1;
+ f[2] = f2 ^ x2;
+ f[3] = f3 ^ x3;
+ f[4] = f4 ^ x4;
+ f[5] = f5 ^ x5;
+ f[6] = f6 ^ x6;
+ f[7] = f7 ^ x7;
+ f[8] = f8 ^ x8;
+ f[9] = f9 ^ x9;
+}
+
+/**
+ * h = f
+ */
+static void fe_copy(fe h, const fe f)
+{
+ int32_t f0 = f[0];
+ int32_t f1 = f[1];
+ int32_t f2 = f[2];
+ int32_t f3 = f[3];
+ int32_t f4 = f[4];
+ int32_t f5 = f[5];
+ int32_t f6 = f[6];
+ int32_t f7 = f[7];
+ int32_t f8 = f[8];
+ int32_t f9 = f[9];
+
+ h[0] = f0;
+ h[1] = f1;
+ h[2] = f2;
+ h[3] = f3;
+ h[4] = f4;
+ h[5] = f5;
+ h[6] = f6;
+ h[7] = f7;
+ h[8] = f8;
+ h[9] = f9;
+}
+
+/**
+ * Ignores top bit of h.
+ */
+static void fe_frombytes(fe h, const uint8_t *s)
+{
+ int64_t h0 = load_4(s);
+ int64_t h1 = load_3(s + 4) << 6;
+ int64_t h2 = load_3(s + 7) << 5;
+ int64_t h3 = load_3(s + 10) << 3;
+ int64_t h4 = load_3(s + 13) << 2;
+ int64_t h5 = load_4(s + 16);
+ int64_t h6 = load_3(s + 20) << 7;
+ int64_t h7 = load_3(s + 23) << 5;
+ int64_t h8 = load_3(s + 26) << 4;
+ int64_t h9 = (load_3(s + 29) & 8388607) << 2;
+
+ int64_t carry0, carry1, carry2, carry3, carry4;
+ int64_t carry5, carry6, carry7, carry8, carry9;
+
+ carry9 = (h9 + (int64_t) (1L << 24)) >> 25;
+ h0 += carry9 * 19;
+ h9 -= carry9 * ((uint64_t) 1L << 25);
+
+ carry1 = (h1 + (int64_t) (1L << 24)) >> 25;
+ h2 += carry1;
+ h1 -= carry1 * ((uint64_t) 1L << 25);
+
+ carry3 = (h3 + (int64_t) (1L << 24)) >> 25;
+ h4 += carry3;
+ h3 -= carry3 * ((uint64_t) 1L << 25);
+
+ carry5 = (h5 + (int64_t) (1L << 24)) >> 25;
+ h6 += carry5;
+ h5 -= carry5 * ((uint64_t) 1L << 25);
+
+ carry7 = (h7 + (int64_t) (1L << 24)) >> 25;
+ h8 += carry7;
+ h7 -= carry7 * ((uint64_t) 1L << 25);
+
+ carry0 = (h0 + (int64_t) (1L << 25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 * ((uint64_t) 1L << 26);
+
+ carry2 = (h2 + (int64_t) (1L << 25)) >> 26;
+ h3 += carry2;
+ h2 -= carry2 * ((uint64_t) 1L << 26);
+
+ carry4 = (h4 + (int64_t) (1L << 25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 * ((uint64_t) 1L << 26);
+
+ carry6 = (h6 + (int64_t) (1L << 25)) >> 26;
+ h7 += carry6;
+ h6 -= carry6 * ((uint64_t) 1L << 26);
+
+ carry8 = (h8 + (int64_t) (1L << 25)) >> 26;
+ h9 += carry8;
+ h8 -= carry8 * ((uint64_t) 1L << 26);
+
+ h[0] = (int32_t) h0;
+ h[1] = (int32_t) h1;
+ h[2] = (int32_t) h2;
+ h[3] = (int32_t) h3;
+ h[4] = (int32_t) h4;
+ h[5] = (int32_t) h5;
+ h[6] = (int32_t) h6;
+ h[7] = (int32_t) h7;
+ h[8] = (int32_t) h8;
+ h[9] = (int32_t) h9;
+}
+
+/**
+ * Preconditions:
+ * |h| bounded by 1.1*2^26, 1.1*2^25, 1.1*2^26, 1.1*2^25, etc.
+ *
+ * Write p=2^255-19; q=floor(h/p).
+ * Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))).
+ *
+ * Proof:
+ * Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4.
+ * Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4.
+ *
+ * Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9).
+ * Then 0<y<1.
+ *
+ * Write r=h-pq.
+ * Have 0<=r<=p-1=2^255-20.
+ * Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1.
+ *
+ * Write x=r+19(2^-255)r+y.
+ * Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q.
+ *
+ * Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1))
+ * so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q.
+ */
+static void fe_tobytes(uint8_t *s, const fe h)
+{
+ int32_t h0 = h[0];
+ int32_t h1 = h[1];
+ int32_t h2 = h[2];
+ int32_t h3 = h[3];
+ int32_t h4 = h[4];
+ int32_t h5 = h[5];
+ int32_t h6 = h[6];
+ int32_t h7 = h[7];
+ int32_t h8 = h[8];
+ int32_t h9 = h[9];
+
+ int32_t carry0, carry1, carry2, carry3, carry4;
+ int32_t carry5, carry6, carry7, carry8, carry9;
+ int32_t q;
+
+ q = (19 * h9 + ((uint32_t) 1L << 24)) >> 25;
+ q = (h0 + q) >> 26;
+ q = (h1 + q) >> 25;
+ q = (h2 + q) >> 26;
+ q = (h3 + q) >> 25;
+ q = (h4 + q) >> 26;
+ q = (h5 + q) >> 25;
+ q = (h6 + q) >> 26;
+ q = (h7 + q) >> 25;
+ q = (h8 + q) >> 26;
+ q = (h9 + q) >> 25;
+
+ /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */
+ h0 += 19 * q;
+ /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */
+
+ carry0 = h0 >> 26;
+ h1 += carry0;
+ h0 -= carry0 * ((uint32_t) 1L << 26);
+
+ carry1 = h1 >> 25;
+ h2 += carry1;
+ h1 -= carry1 * ((uint32_t) 1L << 25);
+
+ carry2 = h2 >> 26;
+ h3 += carry2;
+ h2 -= carry2 * ((uint32_t) 1L << 26);
+
+ carry3 = h3 >> 25;
+ h4 += carry3;
+ h3 -= carry3 * ((uint32_t) 1L << 25);
+
+ carry4 = h4 >> 26;
+ h5 += carry4;
+ h4 -= carry4 * ((uint32_t) 1L << 26);
+
+ carry5 = h5 >> 25;
+ h6 += carry5;
+ h5 -= carry5 * ((uint32_t) 1L << 25);
+
+ carry6 = h6 >> 26;
+ h7 += carry6;
+ h6 -= carry6 * ((uint32_t) 1L << 26);
+
+ carry7 = h7 >> 25;
+ h8 += carry7;
+ h7 -= carry7 * ((uint32_t) 1L << 25);
+
+ carry8 = h8 >> 26;
+ h9 += carry8;
+ h8 -= carry8 * ((uint32_t) 1L << 26);
+
+ carry9 = h9 >> 25;
+ h9 -= carry9 * ((uint32_t) 1L << 25);
+ /* h10 = carry9 */
+
+ /**
+ * Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20.
+ * Have h0+...+2^230 h9 between 0 and 2^255-1;
+ * evidently 2^255 h10-2^255 q = 0.
+ * Goal: Output h0+...+2^230 h9.
+ */
+ s[0] = h0 >> 0;
+ s[1] = h0 >> 8;
+ s[2] = h0 >> 16;
+ s[3] = (h0 >> 24) | (h1 * ((uint32_t) 1 << 2));
+ s[4] = h1 >> 6;
+ s[5] = h1 >> 14;
+ s[6] = (h1 >> 22) | (h2 * ((uint32_t) 1 << 3));
+ s[7] = h2 >> 5;
+ s[8] = h2 >> 13;
+ s[9] = (h2 >> 21) | (h3 * ((uint32_t) 1 << 5));
+ s[10] = h3 >> 3;
+ s[11] = h3 >> 11;
+ s[12] = (h3 >> 19) | (h4 * ((uint32_t) 1 << 6));
+ s[13] = h4 >> 2;
+ s[14] = h4 >> 10;
+ s[15] = h4 >> 18;
+ s[16] = h5 >> 0;
+ s[17] = h5 >> 8;
+ s[18] = h5 >> 16;
+ s[19] = (h5 >> 24) | (h6 * ((uint32_t) 1 << 1));
+ s[20] = h6 >> 7;
+ s[21] = h6 >> 15;
+ s[22] = (h6 >> 23) | (h7 * ((uint32_t) 1 << 3));
+ s[23] = h7 >> 5;
+ s[24] = h7 >> 13;
+ s[25] = (h7 >> 21) | (h8 * ((uint32_t) 1 << 4));
+ s[26] = h8 >> 4;
+ s[27] = h8 >> 12;
+ s[28] = (h8 >> 20) | (h9 * ((uint32_t) 1 << 6));
+ s[29] = h9 >> 2;
+ s[30] = h9 >> 10;
+ s[31] = h9 >> 18;
+}
+
+/**
+ * return 1 if f is in {1,3,5,...,q-2}
+ * return 0 if f is in {0,2,4,...,q-1}
+ *
+ * Preconditions:
+ * |f| bounded by 1.1*2^26, 1.1*2^25, 1.1*2^26, 1.1*2^25, etc.
+ */
+static int fe_isnegative(const fe f)
+{
+ uint8_t s[32];
+
+ fe_tobytes(s,f);
+
+ return s[0] & 1;
+}
+
+/**
+ * return 1 if f != 0
+ * return 0 if f == 0
+ *
+ * Preconditions:
+ * |f| bounded by 1.1*2^26, 1.1*2^25, 1.1*2^26, 1.1*2^25,etc.
+ */
+static uint8_t zero[32];
+
+static int fe_isnonzero(const fe f)
+{
+ uint8_t s[32];
+
+ fe_tobytes(s, f);
+
+ return !memeq_const(s, zero, 32);
+}
+
+/**
+ * h = f * g
+ * Can overlap h with f or g.
+ *
+ * Preconditions:
+ * |f| bounded by 1.65*2^26, 1.65*2^25, 1.65*2^26, 1.65*2^25, etc.
+ * |g| bounded by 1.65*2^26, 1.65*2^25, 1.65*2^26, 1.65*2^25, etc.
+ *
+ * Postconditions:
+ * |h| bounded by 1.01*2^25, 1.01*2^24, 1.01*2^25, 1.01*2^24, etc.
+ */
+
+/**
+ * Notes on implementation strategy:
+ *
+ * Using schoolbook multiplication.
+ * Karatsuba would save a little in some cost models.
+ *
+ * Most multiplications by 2 and 19 are 32-bit precomputations;
+ * cheaper than 64-bit postcomputations.
+ *
+ * There is one remaining multiplication by 19 in the carry chain;
+ * one *19 precomputation can be merged into this,
+ * but the resulting data flow is considerably less clean.
+ *
+ * There are 12 carries below.
+ * 10 of them are 2-way parallelizable and vectorizable.
+ * Can get away with 11 carries, but then data flow is much deeper.
+ *
+ * With tighter constraints on inputs can squeeze carries into int32.
+ */
+
+static void fe_mul(fe h, const fe f, const fe g)
+{
+ int32_t f0 = f[0];
+ int32_t f1 = f[1];
+ int32_t f2 = f[2];
+ int32_t f3 = f[3];
+ int32_t f4 = f[4];
+ int32_t f5 = f[5];
+ int32_t f6 = f[6];
+ int32_t f7 = f[7];
+ int32_t f8 = f[8];
+ int32_t f9 = f[9];
+
+ int32_t g0 = g[0];
+ int32_t g1 = g[1];
+ int32_t g2 = g[2];
+ int32_t g3 = g[3];
+ int32_t g4 = g[4];
+ int32_t g5 = g[5];
+ int32_t g6 = g[6];
+ int32_t g7 = g[7];
+ int32_t g8 = g[8];
+ int32_t g9 = g[9];
+
+ int32_t g1_19 = 19 * g1; /* 1.959375*2^29 */
+ int32_t g2_19 = 19 * g2; /* 1.959375*2^30; still ok */
+ int32_t g3_19 = 19 * g3;
+ int32_t g4_19 = 19 * g4;
+ int32_t g5_19 = 19 * g5;
+ int32_t g6_19 = 19 * g6;
+ int32_t g7_19 = 19 * g7;
+ int32_t g8_19 = 19 * g8;
+ int32_t g9_19 = 19 * g9;
+
+ int32_t f1_2 = 2 * f1;
+ int32_t f3_2 = 2 * f3;
+ int32_t f5_2 = 2 * f5;
+ int32_t f7_2 = 2 * f7;
+ int32_t f9_2 = 2 * f9;
+
+ int64_t f0g0 = f0 * (int64_t) g0;
+ int64_t f0g1 = f0 * (int64_t) g1;
+ int64_t f0g2 = f0 * (int64_t) g2;
+ int64_t f0g3 = f0 * (int64_t) g3;
+ int64_t f0g4 = f0 * (int64_t) g4;
+ int64_t f0g5 = f0 * (int64_t) g5;
+ int64_t f0g6 = f0 * (int64_t) g6;
+ int64_t f0g7 = f0 * (int64_t) g7;
+ int64_t f0g8 = f0 * (int64_t) g8;
+ int64_t f0g9 = f0 * (int64_t) g9;
+
+ int64_t f1g0 = f1 * (int64_t) g0;
+ int64_t f1g1_2 = f1_2 * (int64_t) g1;
+ int64_t f1g2 = f1 * (int64_t) g2;
+ int64_t f1g3_2 = f1_2 * (int64_t) g3;
+ int64_t f1g4 = f1 * (int64_t) g4;
+ int64_t f1g5_2 = f1_2 * (int64_t) g5;
+ int64_t f1g6 = f1 * (int64_t) g6;
+ int64_t f1g7_2 = f1_2 * (int64_t) g7;
+ int64_t f1g8 = f1 * (int64_t) g8;
+ int64_t f1g9_38 = f1_2 * (int64_t) g9_19;
+
+ int64_t f2g0 = f2 * (int64_t) g0;
+ int64_t f2g1 = f2 * (int64_t) g1;
+ int64_t f2g2 = f2 * (int64_t) g2;
+ int64_t f2g3 = f2 * (int64_t) g3;
+ int64_t f2g4 = f2 * (int64_t) g4;
+ int64_t f2g5 = f2 * (int64_t) g5;
+ int64_t f2g6 = f2 * (int64_t) g6;
+ int64_t f2g7 = f2 * (int64_t) g7;
+ int64_t f2g8_19 = f2 * (int64_t) g8_19;
+ int64_t f2g9_19 = f2 * (int64_t) g9_19;
+
+ int64_t f3g0 = f3 * (int64_t) g0;
+ int64_t f3g1_2 = f3_2 * (int64_t) g1;
+ int64_t f3g2 = f3 * (int64_t) g2;
+ int64_t f3g3_2 = f3_2 * (int64_t) g3;
+ int64_t f3g4 = f3 * (int64_t) g4;
+ int64_t f3g5_2 = f3_2 * (int64_t) g5;
+ int64_t f3g6 = f3 * (int64_t) g6;
+ int64_t f3g7_38 = f3_2 * (int64_t) g7_19;
+ int64_t f3g8_19 = f3 * (int64_t) g8_19;
+ int64_t f3g9_38 = f3_2 * (int64_t) g9_19;
+
+ int64_t f4g0 = f4 * (int64_t) g0;
+ int64_t f4g1 = f4 * (int64_t) g1;
+ int64_t f4g2 = f4 * (int64_t) g2;
+ int64_t f4g3 = f4 * (int64_t) g3;
+ int64_t f4g4 = f4 * (int64_t) g4;
+ int64_t f4g5 = f4 * (int64_t) g5;
+ int64_t f4g6_19 = f4 * (int64_t) g6_19;
+ int64_t f4g7_19 = f4 * (int64_t) g7_19;
+ int64_t f4g8_19 = f4 * (int64_t) g8_19;
+ int64_t f4g9_19 = f4 * (int64_t) g9_19;
+
+ int64_t f5g0 = f5 * (int64_t) g0;
+ int64_t f5g1_2 = f5_2 * (int64_t) g1;
+ int64_t f5g2 = f5 * (int64_t) g2;
+ int64_t f5g3_2 = f5_2 * (int64_t) g3;
+ int64_t f5g4 = f5 * (int64_t) g4;
+ int64_t f5g5_38 = f5_2 * (int64_t) g5_19;
+ int64_t f5g6_19 = f5 * (int64_t) g6_19;
+ int64_t f5g7_38 = f5_2 * (int64_t) g7_19;
+ int64_t f5g8_19 = f5 * (int64_t) g8_19;
+ int64_t f5g9_38 = f5_2 * (int64_t) g9_19;
+
+ int64_t f6g0 = f6 * (int64_t) g0;
+ int64_t f6g1 = f6 * (int64_t) g1;
+ int64_t f6g2 = f6 * (int64_t) g2;
+ int64_t f6g3 = f6 * (int64_t) g3;
+ int64_t f6g4_19 = f6 * (int64_t) g4_19;
+ int64_t f6g5_19 = f6 * (int64_t) g5_19;
+ int64_t f6g6_19 = f6 * (int64_t) g6_19;
+ int64_t f6g7_19 = f6 * (int64_t) g7_19;
+ int64_t f6g8_19 = f6 * (int64_t) g8_19;
+ int64_t f6g9_19 = f6 * (int64_t) g9_19;
+
+ int64_t f7g0 = f7 * (int64_t) g0;
+ int64_t f7g1_2 = f7_2 * (int64_t) g1;
+ int64_t f7g2 = f7 * (int64_t) g2;
+ int64_t f7g3_38 = f7_2 * (int64_t) g3_19;
+ int64_t f7g4_19 = f7 * (int64_t) g4_19;
+ int64_t f7g5_38 = f7_2 * (int64_t) g5_19;
+ int64_t f7g6_19 = f7 * (int64_t) g6_19;
+ int64_t f7g7_38 = f7_2 * (int64_t) g7_19;
+ int64_t f7g8_19 = f7 * (int64_t) g8_19;
+ int64_t f7g9_38 = f7_2 * (int64_t) g9_19;
+
+ int64_t f8g0 = f8 * (int64_t) g0;
+ int64_t f8g1 = f8 * (int64_t) g1;
+ int64_t f8g2_19 = f8 * (int64_t) g2_19;
+ int64_t f8g3_19 = f8 * (int64_t) g3_19;
+ int64_t f8g4_19 = f8 * (int64_t) g4_19;
+ int64_t f8g5_19 = f8 * (int64_t) g5_19;
+ int64_t f8g6_19 = f8 * (int64_t) g6_19;
+ int64_t f8g7_19 = f8 * (int64_t) g7_19;
+ int64_t f8g8_19 = f8 * (int64_t) g8_19;
+ int64_t f8g9_19 = f8 * (int64_t) g9_19;
+
+ int64_t f9g0 = f9 * (int64_t) g0;
+ int64_t f9g1_38 = f9_2 * (int64_t) g1_19;
+ int64_t f9g2_19 = f9 * (int64_t) g2_19;
+ int64_t f9g3_38 = f9_2 * (int64_t) g3_19;
+ int64_t f9g4_19 = f9 * (int64_t) g4_19;
+ int64_t f9g5_38 = f9_2 * (int64_t) g5_19;
+ int64_t f9g6_19 = f9 * (int64_t) g6_19;
+ int64_t f9g7_38 = f9_2 * (int64_t) g7_19;
+ int64_t f9g8_19 = f9 * (int64_t) g8_19;
+ int64_t f9g9_38 = f9_2 * (int64_t) g9_19;
+
+ int64_t h0 = f0g0 + f1g9_38 + f2g8_19 + f3g7_38 + f4g6_19 + f5g5_38 +
+ f6g4_19 + f7g3_38 + f8g2_19 + f9g1_38;
+ int64_t h1 = f0g1 + f1g0 + f2g9_19 + f3g8_19 + f4g7_19 + f5g6_19 +
+ f6g5_19 + f7g4_19 + f8g3_19 + f9g2_19;
+ int64_t h2 = f0g2 + f1g1_2 + f2g0 + f3g9_38 + f4g8_19 + f5g7_38 +
+ f6g6_19 + f7g5_38 + f8g4_19 + f9g3_38;
+ int64_t h3 = f0g3 + f1g2 + f2g1 + f3g0 + f4g9_19 + f5g8_19 +
+ f6g7_19 + f7g6_19 + f8g5_19 + f9g4_19;
+ int64_t h4 = f0g4 + f1g3_2 + f2g2 + f3g1_2 + f4g0 + f5g9_38 +
+ f6g8_19 + f7g7_38 + f8g6_19 + f9g5_38;
+ int64_t h5 = f0g5 + f1g4 + f2g3 + f3g2 + f4g1 + f5g0 +
+ f6g9_19 + f7g8_19 + f8g7_19 + f9g6_19;
+ int64_t h6 = f0g6 + f1g5_2 + f2g4 + f3g3_2 + f4g2 + f5g1_2 +
+ f6g0 + f7g9_38 + f8g8_19 + f9g7_38;
+ int64_t h7 = f0g7 + f1g6 + f2g5 + f3g4 + f4g3 + f5g2 +
+ f6g1 + f7g0 + f8g9_19 + f9g8_19;
+ int64_t h8 = f0g8 + f1g7_2 + f2g6 + f3g5_2 + f4g4 + f5g3_2 +
+ f6g2 + f7g1_2 + f8g0 + f9g9_38;
+ int64_t h9 = f0g9 + f1g8 + f2g7 + f3g6 + f4g5 + f5g4 +
+ f6g3 + f7g2 + f8g1 + f9g0 ;
+
+ int64_t carry0, carry1, carry2, carry3, carry4;
+ int64_t carry5, carry6, carry7, carry8, carry9;
+
+ /**
+ * |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38))
+ * i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8
+ * |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19))
+ * i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9
+ */
+
+ carry0 = (h0 + (int64_t) (1L << 25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 * ((uint64_t) 1L << 26);
+ /* |h0| <= 2^25 */
+ /* |h1| <= 1.71*2^59 */
+
+ carry4 = (h4 + (int64_t) (1L << 25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 * ((uint64_t) 1L << 26);
+ /* |h4| <= 2^25 */
+ /* |h5| <= 1.71*2^59 */
+
+ carry1 = (h1 + (int64_t) (1L << 24)) >> 25;
+ h2 += carry1;
+ h1 -= carry1 * ((uint64_t) 1L << 25);
+ /* |h1| <= 2^24; from now on fits into int32 */
+ /* |h2| <= 1.41*2^60 */
+
+ carry5 = (h5 + (int64_t) (1L << 24)) >> 25;
+ h6 += carry5;
+ h5 -= carry5 * ((uint64_t) 1L << 25);
+ /* |h5| <= 2^24; from now on fits into int32 */
+ /* |h6| <= 1.41*2^60 */
+
+ carry2 = (h2 + (int64_t) (1L << 25)) >> 26;
+ h3 += carry2;
+ h2 -= carry2 * ((uint64_t) 1L << 26);
+ /* |h2| <= 2^25; from now on fits into int32 unchanged */
+ /* |h3| <= 1.71*2^59 */
+
+ carry6 = (h6 + (int64_t) (1L << 25)) >> 26;
+ h7 += carry6;
+ h6 -= carry6 * ((uint64_t) 1L << 26);
+ /* |h6| <= 2^25; from now on fits into int32 unchanged */
+ /* |h7| <= 1.71*2^59 */
+
+ carry3 = (h3 + (int64_t) (1L << 24)) >> 25;
+ h4 += carry3;
+ h3 -= carry3 * ((uint64_t) 1L << 25);
+ /* |h3| <= 2^24; from now on fits into int32 unchanged */
+ /* |h4| <= 1.72*2^34 */
+
+ carry7 = (h7 + (int64_t) (1L << 24)) >> 25;
+ h8 += carry7;
+ h7 -= carry7 * ((uint64_t) 1L << 25);
+ /* |h7| <= 2^24; from now on fits into int32 unchanged */
+ /* |h8| <= 1.41*2^60 */
+
+ carry4 = (h4 + (int64_t) (1L << 25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 * ((uint64_t) 1L << 26);
+ /* |h4| <= 2^25; from now on fits into int32 unchanged */
+ /* |h5| <= 1.01*2^24 */
+
+ carry8 = (h8 + (int64_t) (1L << 25)) >> 26;
+ h9 += carry8;
+ h8 -= carry8 * ((uint64_t) 1L << 26);
+ /* |h8| <= 2^25; from now on fits into int32 unchanged */
+ /* |h9| <= 1.71*2^59 */
+
+ carry9 = (h9 + (int64_t) (1L << 24)) >> 25;
+ h0 += carry9 * 19;
+ h9 -= carry9 * ((uint64_t) 1L << 25);
+ /* |h9| <= 2^24; from now on fits into int32 unchanged */
+ /* |h0| <= 1.1*2^39 */
+
+ carry0 = (h0 + (int64_t) (1L << 25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 * ((uint64_t) 1L << 26);
+ /* |h0| <= 2^25; from now on fits into int32 unchanged */
+ /* |h1| <= 1.01*2^24 */
+
+ h[0] = (int32_t) h0;
+ h[1] = (int32_t) h1;
+ h[2] = (int32_t) h2;
+ h[3] = (int32_t) h3;
+ h[4] = (int32_t) h4;
+ h[5] = (int32_t) h5;
+ h[6] = (int32_t) h6;
+ h[7] = (int32_t) h7;
+ h[8] = (int32_t) h8;
+ h[9] = (int32_t) h9;
+}
+
+/**
+ * h = -f
+ *
+ * Preconditions:
+ * |f| bounded by 1.1*2^25, 1.1*2^24, 1.1*2^25, 1.1*2^24, etc.
+ *
+ * Postconditions:
+ * |h| bounded by 1.1*2^25, 1.1*2^24, 1.1*2^25, 1.1*2^24, etc.
+ */
+static void fe_neg(fe h,const fe f)
+{
+ int32_t f0 = f[0];
+ int32_t f1 = f[1];
+ int32_t f2 = f[2];
+ int32_t f3 = f[3];
+ int32_t f4 = f[4];
+ int32_t f5 = f[5];
+ int32_t f6 = f[6];
+ int32_t f7 = f[7];
+ int32_t f8 = f[8];
+ int32_t f9 = f[9];
+
+ int32_t h0 = -f0;
+ int32_t h1 = -f1;
+ int32_t h2 = -f2;
+ int32_t h3 = -f3;
+ int32_t h4 = -f4;
+ int32_t h5 = -f5;
+ int32_t h6 = -f6;
+ int32_t h7 = -f7;
+ int32_t h8 = -f8;
+ int32_t h9 = -f9;
+
+ h[0] = h0;
+ h[1] = h1;
+ h[2] = h2;
+ h[3] = h3;
+ h[4] = h4;
+ h[5] = h5;
+ h[6] = h6;
+ h[7] = h7;
+ h[8] = h8;
+ h[9] = h9;
+}
+
+/**
+ * h = f * f
+ * Can overlap h with f.
+ *
+ * Preconditions:
+ * |f| bounded by 1.65*2^26, 1.65*2^25, 1.65*2^26, 1.65*2^25, etc.
+ *
+ * Postconditions:
+ * |h| bounded by 1.01*2^25, 1.01*2^24, 1.01*2^25, 1.01*2^24, etc.
+ *
+ * See fe_mul.c for discussion of implementation strategy.
+ */
+static void fe_sq(fe h, const fe f)
+{
+ int32_t f0 = f[0];
+ int32_t f1 = f[1];
+ int32_t f2 = f[2];
+ int32_t f3 = f[3];
+ int32_t f4 = f[4];
+ int32_t f5 = f[5];
+ int32_t f6 = f[6];
+ int32_t f7 = f[7];
+ int32_t f8 = f[8];
+ int32_t f9 = f[9];
+
+ int32_t f0_2 = 2 * f0;
+ int32_t f1_2 = 2 * f1;
+ int32_t f2_2 = 2 * f2;
+ int32_t f3_2 = 2 * f3;
+ int32_t f4_2 = 2 * f4;
+ int32_t f5_2 = 2 * f5;
+ int32_t f6_2 = 2 * f6;
+ int32_t f7_2 = 2 * f7;
+
+ int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */
+ int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */
+ int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */
+ int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */
+ int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */
+
+ int64_t f0f0 = f0 * (int64_t) f0;
+ int64_t f0f1_2 = f0_2 * (int64_t) f1;
+ int64_t f0f2_2 = f0_2 * (int64_t) f2;
+ int64_t f0f3_2 = f0_2 * (int64_t) f3;
+ int64_t f0f4_2 = f0_2 * (int64_t) f4;
+ int64_t f0f5_2 = f0_2 * (int64_t) f5;
+ int64_t f0f6_2 = f0_2 * (int64_t) f6;
+ int64_t f0f7_2 = f0_2 * (int64_t) f7;
+ int64_t f0f8_2 = f0_2 * (int64_t) f8;
+ int64_t f0f9_2 = f0_2 * (int64_t) f9;
+
+ int64_t f1f1_2 = f1_2 * (int64_t) f1;
+ int64_t f1f2_2 = f1_2 * (int64_t) f2;
+ int64_t f1f3_4 = f1_2 * (int64_t) f3_2;
+ int64_t f1f4_2 = f1_2 * (int64_t) f4;
+ int64_t f1f5_4 = f1_2 * (int64_t) f5_2;
+ int64_t f1f6_2 = f1_2 * (int64_t) f6;
+ int64_t f1f7_4 = f1_2 * (int64_t) f7_2;
+ int64_t f1f8_2 = f1_2 * (int64_t) f8;
+ int64_t f1f9_76 = f1_2 * (int64_t) f9_38;
+
+ int64_t f2f2 = f2 * (int64_t) f2;
+ int64_t f2f3_2 = f2_2 * (int64_t) f3;
+ int64_t f2f4_2 = f2_2 * (int64_t) f4;
+ int64_t f2f5_2 = f2_2 * (int64_t) f5;
+ int64_t f2f6_2 = f2_2 * (int64_t) f6;
+ int64_t f2f7_2 = f2_2 * (int64_t) f7;
+ int64_t f2f8_38 = f2_2 * (int64_t) f8_19;
+ int64_t f2f9_38 = f2 * (int64_t) f9_38;
+
+ int64_t f3f3_2 = f3_2 * (int64_t) f3;
+ int64_t f3f4_2 = f3_2 * (int64_t) f4;
+ int64_t f3f5_4 = f3_2 * (int64_t) f5_2;
+ int64_t f3f6_2 = f3_2 * (int64_t) f6;
+ int64_t f3f7_76 = f3_2 * (int64_t) f7_38;
+ int64_t f3f8_38 = f3_2 * (int64_t) f8_19;
+ int64_t f3f9_76 = f3_2 * (int64_t) f9_38;
+
+ int64_t f4f4 = f4 * (int64_t) f4;
+ int64_t f4f5_2 = f4_2 * (int64_t) f5;
+ int64_t f4f6_38 = f4_2 * (int64_t) f6_19;
+ int64_t f4f7_38 = f4 * (int64_t) f7_38;
+ int64_t f4f8_38 = f4_2 * (int64_t) f8_19;
+ int64_t f4f9_38 = f4 * (int64_t) f9_38;
+
+ int64_t f5f5_38 = f5 * (int64_t) f5_38;
+ int64_t f5f6_38 = f5_2 * (int64_t) f6_19;
+ int64_t f5f7_76 = f5_2 * (int64_t) f7_38;
+ int64_t f5f8_38 = f5_2 * (int64_t) f8_19;
+ int64_t f5f9_76 = f5_2 * (int64_t) f9_38;
+
+ int64_t f6f6_19 = f6 * (int64_t) f6_19;
+ int64_t f6f7_38 = f6 * (int64_t) f7_38;
+ int64_t f6f8_38 = f6_2 * (int64_t) f8_19;
+ int64_t f6f9_38 = f6 * (int64_t) f9_38;
+
+ int64_t f7f7_38 = f7 * (int64_t) f7_38;
+ int64_t f7f8_38 = f7_2 * (int64_t) f8_19;
+ int64_t f7f9_76 = f7_2 * (int64_t) f9_38;
+
+ int64_t f8f8_19 = f8 * (int64_t) f8_19;
+ int64_t f8f9_38 = f8 * (int64_t) f9_38;
+
+ int64_t f9f9_38 = f9 * (int64_t) f9_38;
+
+ int64_t h0 = f0f0 + f1f9_76 + f2f8_38 + f3f7_76 + f4f6_38 + f5f5_38;
+ int64_t h1 = f0f1_2 + f2f9_38 + f3f8_38 + f4f7_38 + f5f6_38;
+ int64_t h2 = f0f2_2 + f1f1_2 + f3f9_76 + f4f8_38 + f5f7_76 + f6f6_19;
+ int64_t h3 = f0f3_2 + f1f2_2 + f4f9_38 + f5f8_38 + f6f7_38;
+ int64_t h4 = f0f4_2 + f1f3_4 + f2f2 + f5f9_76 + f6f8_38 + f7f7_38;
+ int64_t h5 = f0f5_2 + f1f4_2 + f2f3_2 + f6f9_38 + f7f8_38;
+ int64_t h6 = f0f6_2 + f1f5_4 + f2f4_2 + f3f3_2 + f7f9_76 + f8f8_19;
+ int64_t h7 = f0f7_2 + f1f6_2 + f2f5_2 + f3f4_2 + f8f9_38;
+ int64_t h8 = f0f8_2 + f1f7_4 + f2f6_2 + f3f5_4 + f4f4 + f9f9_38;
+ int64_t h9 = f0f9_2 + f1f8_2 + f2f7_2 + f3f6_2 + f4f5_2;
+
+ int64_t carry0, carry1, carry2, carry3, carry4;
+ int64_t carry5, carry6, carry7, carry8, carry9;
+
+ carry0 = (h0 + (int64_t) (1L << 25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 * ((uint64_t) 1L << 26);
+
+ carry4 = (h4 + (int64_t) (1L << 25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 * ((uint64_t) 1L << 26);
+
+ carry1 = (h1 + (int64_t) (1L << 24)) >> 25;
+ h2 += carry1;
+ h1 -= carry1 * ((uint64_t) 1L << 25);
+
+ carry5 = (h5 + (int64_t) (1L << 24)) >> 25;
+ h6 += carry5;
+ h5 -= carry5 * ((uint64_t) 1L << 25);
+
+ carry2 = (h2 + (int64_t) (1L << 25)) >> 26;
+ h3 += carry2;
+ h2 -= carry2 * ((uint64_t) 1L << 26);
+
+ carry6 = (h6 + (int64_t) (1L << 25)) >> 26;
+ h7 += carry6;
+ h6 -= carry6 * ((uint64_t) 1L << 26);
+
+ carry3 = (h3 + (int64_t) (1L << 24)) >> 25;
+ h4 += carry3;
+ h3 -= carry3 * ((uint64_t) 1L << 25);
+
+ carry7 = (h7 + (int64_t) (1L << 24)) >> 25;
+ h8 += carry7;
+ h7 -= carry7 * ((uint64_t) 1L << 25);
+
+ carry4 = (h4 + (int64_t) (1L << 25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 * ((uint64_t) 1L << 26);
+
+ carry8 = (h8 + (int64_t) (1L << 25)) >> 26;
+ h9 += carry8;
+ h8 -= carry8 * ((uint64_t) 1L << 26);
+
+ carry9 = (h9 + (int64_t) (1L << 24)) >> 25;
+ h0 += carry9 * 19;
+ h9 -= carry9 * ((uint64_t) 1L << 25);
+
+ carry0 = (h0 + (int64_t) (1L << 25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 * ((uint64_t) 1L << 26);
+
+ h[0] = (int32_t) h0;
+ h[1] = (int32_t) h1;
+ h[2] = (int32_t) h2;
+ h[3] = (int32_t) h3;
+ h[4] = (int32_t) h4;
+ h[5] = (int32_t) h5;
+ h[6] = (int32_t) h6;
+ h[7] = (int32_t) h7;
+ h[8] = (int32_t) h8;
+ h[9] = (int32_t) h9;
+}
+
+/**
+ * h = 2 * f * f
+ * Can overlap h with f.
+ *
+ * Preconditions:
+ *|f| bounded by 1.65*2^26, 1.65*2^25, 1.65*2^26, 1.65*2^25, etc.
+ *
+ * Postconditions:
+ * |h| bounded by 1.01*2^25, 1.01*2^24, 1.01*2^25, 1.01*2^24, etc.
+ *
+ * See fe_mul.c for discussion of implementation strategy.
+ */
+static void fe_sq2(fe h, const fe f)
+{
+ int32_t f0 = f[0];
+ int32_t f1 = f[1];
+ int32_t f2 = f[2];
+ int32_t f3 = f[3];
+ int32_t f4 = f[4];
+ int32_t f5 = f[5];
+ int32_t f6 = f[6];
+ int32_t f7 = f[7];
+ int32_t f8 = f[8];
+ int32_t f9 = f[9];
+
+ int32_t f0_2 = 2 * f0;
+ int32_t f1_2 = 2 * f1;
+ int32_t f2_2 = 2 * f2;
+ int32_t f3_2 = 2 * f3;
+ int32_t f4_2 = 2 * f4;
+ int32_t f5_2 = 2 * f5;
+ int32_t f6_2 = 2 * f6;
+ int32_t f7_2 = 2 * f7;
+
+ int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */
+ int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */
+ int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */
+ int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */
+ int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */
+
+ int64_t f0f0 = f0 * (int64_t) f0;
+ int64_t f0f1_2 = f0_2 * (int64_t) f1;
+ int64_t f0f2_2 = f0_2 * (int64_t) f2;
+ int64_t f0f3_2 = f0_2 * (int64_t) f3;
+ int64_t f0f4_2 = f0_2 * (int64_t) f4;
+ int64_t f0f5_2 = f0_2 * (int64_t) f5;
+ int64_t f0f6_2 = f0_2 * (int64_t) f6;
+ int64_t f0f7_2 = f0_2 * (int64_t) f7;
+ int64_t f0f8_2 = f0_2 * (int64_t) f8;
+ int64_t f0f9_2 = f0_2 * (int64_t) f9;
+
+ int64_t f1f1_2 = f1_2 * (int64_t) f1;
+ int64_t f1f2_2 = f1_2 * (int64_t) f2;
+ int64_t f1f3_4 = f1_2 * (int64_t) f3_2;
+ int64_t f1f4_2 = f1_2 * (int64_t) f4;
+ int64_t f1f5_4 = f1_2 * (int64_t) f5_2;
+ int64_t f1f6_2 = f1_2 * (int64_t) f6;
+ int64_t f1f7_4 = f1_2 * (int64_t) f7_2;
+ int64_t f1f8_2 = f1_2 * (int64_t) f8;
+ int64_t f1f9_76 = f1_2 * (int64_t) f9_38;
+
+ int64_t f2f2 = f2 * (int64_t) f2;
+ int64_t f2f3_2 = f2_2 * (int64_t) f3;
+ int64_t f2f4_2 = f2_2 * (int64_t) f4;
+ int64_t f2f5_2 = f2_2 * (int64_t) f5;
+ int64_t f2f6_2 = f2_2 * (int64_t) f6;
+ int64_t f2f7_2 = f2_2 * (int64_t) f7;
+ int64_t f2f8_38 = f2_2 * (int64_t) f8_19;
+ int64_t f2f9_38 = f2 * (int64_t) f9_38;
+
+ int64_t f3f3_2 = f3_2 * (int64_t) f3;
+ int64_t f3f4_2 = f3_2 * (int64_t) f4;
+ int64_t f3f5_4 = f3_2 * (int64_t) f5_2;
+ int64_t f3f6_2 = f3_2 * (int64_t) f6;
+ int64_t f3f7_76 = f3_2 * (int64_t) f7_38;
+ int64_t f3f8_38 = f3_2 * (int64_t) f8_19;
+ int64_t f3f9_76 = f3_2 * (int64_t) f9_38;
+
+ int64_t f4f4 = f4 * (int64_t) f4;
+ int64_t f4f5_2 = f4_2 * (int64_t) f5;
+ int64_t f4f6_38 = f4_2 * (int64_t) f6_19;
+ int64_t f4f7_38 = f4 * (int64_t) f7_38;
+ int64_t f4f8_38 = f4_2 * (int64_t) f8_19;
+ int64_t f4f9_38 = f4 * (int64_t) f9_38;
+
+ int64_t f5f5_38 = f5 * (int64_t) f5_38;
+ int64_t f5f6_38 = f5_2 * (int64_t) f6_19;
+ int64_t f5f7_76 = f5_2 * (int64_t) f7_38;
+ int64_t f5f8_38 = f5_2 * (int64_t) f8_19;
+ int64_t f5f9_76 = f5_2 * (int64_t) f9_38;
+
+ int64_t f6f6_19 = f6 * (int64_t) f6_19;
+ int64_t f6f7_38 = f6 * (int64_t) f7_38;
+ int64_t f6f8_38 = f6_2 * (int64_t) f8_19;
+ int64_t f6f9_38 = f6 * (int64_t) f9_38;
+
+ int64_t f7f7_38 = f7 * (int64_t) f7_38;
+ int64_t f7f8_38 = f7_2 * (int64_t) f8_19;
+ int64_t f7f9_76 = f7_2 * (int64_t) f9_38;
+
+ int64_t f8f8_19 = f8 * (int64_t) f8_19;
+ int64_t f8f9_38 = f8 * (int64_t) f9_38;
+
+ int64_t f9f9_38 = f9 * (int64_t) f9_38;
+
+ int64_t h0 = f0f0 + f1f9_76 + f2f8_38 + f3f7_76 + f4f6_38 + f5f5_38;
+ int64_t h1 = f0f1_2 + f2f9_38 + f3f8_38 + f4f7_38 + f5f6_38;
+ int64_t h2 = f0f2_2 + f1f1_2 + f3f9_76 + f4f8_38 + f5f7_76 + f6f6_19;
+ int64_t h3 = f0f3_2 + f1f2_2 + f4f9_38 + f5f8_38 + f6f7_38;
+ int64_t h4 = f0f4_2 + f1f3_4 + f2f2 + f5f9_76 + f6f8_38 + f7f7_38;
+ int64_t h5 = f0f5_2 + f1f4_2 + f2f3_2 + f6f9_38 + f7f8_38;
+ int64_t h6 = f0f6_2 + f1f5_4 + f2f4_2 + f3f3_2 + f7f9_76 + f8f8_19;
+ int64_t h7 = f0f7_2 + f1f6_2 + f2f5_2 + f3f4_2 + f8f9_38;
+ int64_t h8 = f0f8_2 + f1f7_4 + f2f6_2 + f3f5_4 + f4f4 + f9f9_38;
+ int64_t h9 = f0f9_2 + f1f8_2 + f2f7_2 + f3f6_2 + f4f5_2;
+
+ int64_t carry0, carry1, carry2, carry3, carry4;
+ int64_t carry5, carry6, carry7, carry8, carry9;
+
+ h0 += h0;
+ h1 += h1;
+ h2 += h2;
+ h3 += h3;
+ h4 += h4;
+ h5 += h5;
+ h6 += h6;
+ h7 += h7;
+ h8 += h8;
+ h9 += h9;
+
+ carry0 = (h0 + (int64_t) (1L << 25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 * ((uint64_t) 1L << 26);
+
+ carry4 = (h4 + (int64_t) (1L << 25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 * ((uint64_t) 1L << 26);
+
+ carry1 = (h1 + (int64_t) (1L << 24)) >> 25;
+ h2 += carry1;
+ h1 -= carry1 * ((uint64_t) 1L << 25);
+
+ carry5 = (h5 + (int64_t) (1L << 24)) >> 25;
+ h6 += carry5;
+ h5 -= carry5 * ((uint64_t) 1L << 25);
+
+ carry2 = (h2 + (int64_t) (1L << 25)) >> 26;
+ h3 += carry2;
+ h2 -= carry2 * ((uint64_t) 1L << 26);
+
+ carry6 = (h6 + (int64_t) (1L << 25)) >> 26;
+ h7 += carry6;
+ h6 -= carry6 * ((uint64_t) 1L << 26);
+
+ carry3 = (h3 + (int64_t) (1L << 24)) >> 25;
+ h4 += carry3;
+ h3 -= carry3 * ((uint64_t) 1L << 25);
+
+ carry7 = (h7 + (int64_t) (1L << 24)) >> 25;
+ h8 += carry7;
+ h7 -= carry7 * ((uint64_t) 1L << 25);
+
+ carry4 = (h4 + (int64_t) (1L << 25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 * ((uint64_t) 1L << 26);
+
+ carry8 = (h8 + (int64_t) (1L << 25)) >> 26;
+ h9 += carry8;
+ h8 -= carry8 * ((uint64_t) 1L << 26);
+
+ carry9 = (h9 + (int64_t) (1L << 24)) >> 25;
+ h0 += carry9 * 19;
+ h9 -= carry9 * ((uint64_t) 1L << 25);
+
+ carry0 = (h0 + (int64_t) (1L << 25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 * ((uint64_t) 1L << 26);
+
+ h[0] = (int32_t) h0;
+ h[1] = (int32_t) h1;
+ h[2] = (int32_t) h2;
+ h[3] = (int32_t) h3;
+ h[4] = (int32_t) h4;
+ h[5] = (int32_t) h5;
+ h[6] = (int32_t) h6;
+ h[7] = (int32_t) h7;
+ h[8] = (int32_t) h8;
+ h[9] = (int32_t) h9;
+}
+
+static void fe_invert(fe out, const fe z)
+{
+ fe t0, t1, t2, t3;
+ int i;
+
+ fe_sq(t0, z);
+ fe_sq(t1, t0);
+ fe_sq(t1, t1);
+ fe_mul(t1, z, t1);
+ fe_mul(t0, t0, t1);
+ fe_sq(t2, t0);
+ fe_mul(t1, t1, t2);
+ fe_sq(t2, t1);
+
+ for (i = 1; i < 5; ++i)
+ {
+ fe_sq(t2, t2);
+ }
+
+ fe_mul(t1, t2, t1);
+ fe_sq(t2, t1);
+
+ for (i = 1; i < 10; ++i)
+ {
+ fe_sq(t2, t2);
+ }
+
+ fe_mul(t2, t2, t1);
+ fe_sq(t3, t2);
+
+ for (i = 1; i < 20; ++i)
+ {
+ fe_sq(t3, t3);
+ }
+
+ fe_mul(t2, t3, t2);
+ fe_sq(t2, t2);
+
+ for (i = 1; i < 10; ++i)
+ {
+ fe_sq(t2, t2);
+ }
+
+ fe_mul(t1, t2, t1);
+ fe_sq(t2, t1);
+
+ for (i = 1; i < 50; ++i)
+ {
+ fe_sq(t2, t2);
+ }
+
+ fe_mul(t2, t2, t1);
+ fe_sq(t3, t2);
+
+ for (i = 1; i < 100; ++i)
+ {
+ fe_sq(t3, t3);
+ }
+
+ fe_mul(t2, t3, t2);
+ fe_sq(t2, t2);
+
+ for (i = 1; i < 50; ++i)
+ {
+ fe_sq(t2, t2);
+ }
+
+ fe_mul(t1, t2, t1);
+ fe_sq(t1, t1);
+
+ for (i = 1; i < 5; ++i)
+ {
+ fe_sq(t1, t1);
+ }
+
+ fe_mul(out, t1, t0);
+}
+
+static void fe_pow22523(fe out, const fe z)
+{
+ fe t0, t1, t2;
+ int i;
+
+ fe_sq(t0, z);
+ fe_sq(t1, t0);
+ fe_sq(t1, t1);
+ fe_mul(t1, z, t1);
+ fe_mul(t0, t0, t1);
+ fe_sq(t0, t0);
+ fe_mul(t0, t1, t0);
+ fe_sq(t1, t0);
+
+ for (i = 1; i < 5; ++i)
+ {
+ fe_sq(t1, t1);
+ }
+
+ fe_mul(t0, t1, t0);
+ fe_sq(t1, t0);
+
+ for (i = 1; i < 10; ++i)
+ {
+ fe_sq(t1, t1);
+ }
+
+ fe_mul(t1, t1, t0);
+ fe_sq(t2, t1);
+
+ for (i = 1; i < 20; ++i)
+ {
+ fe_sq(t2, t2);
+ }
+
+ fe_mul(t1, t2, t1);
+ fe_sq(t1, t1);
+
+ for (i = 1; i < 10; ++i)
+ {
+ fe_sq(t1, t1);
+ }
+
+ fe_mul(t0, t1, t0);
+ fe_sq(t1, t0);
+
+ for (i = 1; i < 50; ++i)
+ {
+ fe_sq(t1, t1);
+ }
+
+ fe_mul(t1, t1, t0);
+ fe_sq(t2, t1);
+ for (i = 1; i < 100; ++i)
+ {
+ fe_sq(t2, t2);
+ }
+
+ fe_mul(t1, t2, t1);
+ fe_sq(t1, t1);
+
+ for (i = 1; i < 50; ++i)
+ {
+ fe_sq(t1, t1);
+ }
+
+ fe_mul(t0, t1, t0);
+ fe_sq(t0, t0);
+ fe_sq(t0, t0);
+ fe_mul(out, t0, z);
+}
+
+/**
+ * h = f - g
+ * Can overlap h with f or g.
+ *
+ * Preconditions:
+ * |f| bounded by 1.1*2^25, 1.1*2^24, 1.1*2^25, 1.1*2^24, etc.
+ * |g| bounded by 1.1*2^25, 1.1*2^24, 1.1*2^25, 1.1*2^24, etc.
+ *
+ * Postconditions:
+ * |h| bounded by 1.1*2^26, 1.1*2^25, 1.1*2^26, 1.1*2^25, etc.
+ */
+static void fe_sub(fe h, const fe f, const fe g)
+{
+ int32_t f0 = f[0];
+ int32_t f1 = f[1];
+ int32_t f2 = f[2];
+ int32_t f3 = f[3];
+ int32_t f4 = f[4];
+ int32_t f5 = f[5];
+ int32_t f6 = f[6];
+ int32_t f7 = f[7];
+ int32_t f8 = f[8];
+ int32_t f9 = f[9];
+
+ int32_t g0 = g[0];
+ int32_t g1 = g[1];
+ int32_t g2 = g[2];
+ int32_t g3 = g[3];
+ int32_t g4 = g[4];
+ int32_t g5 = g[5];
+ int32_t g6 = g[6];
+ int32_t g7 = g[7];
+ int32_t g8 = g[8];
+ int32_t g9 = g[9];
+
+ int32_t h0 = f0 - g0;
+ int32_t h1 = f1 - g1;
+ int32_t h2 = f2 - g2;
+ int32_t h3 = f3 - g3;
+ int32_t h4 = f4 - g4;
+ int32_t h5 = f5 - g5;
+ int32_t h6 = f6 - g6;
+ int32_t h7 = f7 - g7;
+ int32_t h8 = f8 - g8;
+ int32_t h9 = f9 - g9;
+
+ h[0] = h0;
+ h[1] = h1;
+ h[2] = h2;
+ h[3] = h3;
+ h[4] = h4;
+ h[5] = h5;
+ h[6] = h6;
+ h[7] = h7;
+ h[8] = h8;
+ h[9] = h9;
+}
+
+/**
+ * r = p + q
+ */
+static void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q)
+{
+ fe t0;
+
+ fe_add(r->X, p->Y, p->X);
+ fe_sub(r->Y, p->Y, p->X);
+ fe_mul(r->Z, r->X, q->YplusX);
+ fe_mul(r->Y, r->Y, q->YminusX);
+ fe_mul(r->T, q->T2d, p->T);
+ fe_mul(r->X, p->Z, q->Z);
+ fe_add(t0, r->X, r->X);
+ fe_sub(r->X, r->Z, r->Y);
+ fe_add(r->Y, r->Z, r->Y);
+ fe_add(r->Z, t0, r->T);
+ fe_sub(r->T, t0, r->T);
+}
+
+static void slide(int8_t *r, const uint8_t *a)
+{
+ int i, b, k;
+
+ for (i = 0; i < 256; ++i)
+ {
+ r[i] = 1 & (a[i >> 3] >> (i & 7));
+ }
+
+ for (i = 0; i < 256; ++i)
+ {
+ if (r[i])
+ {
+ for (b = 1; b <= 6 && i + b < 256; ++b)
+ {
+ if (r[i + b])
+ {
+ if (r[i] + (r[i + b] << b) <= 15)
+ {
+ r[i] += r[i + b] << b; r[i + b] = 0;
+ }
+ else if (r[i] - (r[i + b] << b) >= -15)
+ {
+ r[i] -= r[i + b] << b;
+
+ for (k = i + b; k < 256; ++k)
+ {
+ if (!r[k])
+ {
+ r[k] = 1;
+ break;
+ }
+ r[k] = 0;
+ }
+ }
+ else
+ {
+ break;
+ }
+ }
+ }
+ }
+ }
+}
+
+static const ge_precomp Bi[8] = {
+#include "base2.h"
+};
+
+/* 37095705934669439343138083508754565189542113879843219016388785533085940283555 */
+static const fe d = {
+ -10913610, 13857413, -15372611, 6949391, 114729,
+ -8787816, -6275908, -3247719, -18696448, -12055116
+};
+
+/* sqrt(-1) */
+static const fe sqrtm1 = {
+ -32595792, -7943725, 9377950, 3500415, 12389472,
+ -272473, -25146209, -2005654, 326686, 11406482
+};
+
+int ge_frombytes_negate_vartime(ge_p3 *h, const uint8_t *s)
+{
+ fe u, v, v3, vxx, check;
+
+ fe_frombytes(h->Y,s);
+ fe_1(h->Z);
+ fe_sq(u,h->Y);
+ fe_mul(v,u,d);
+ fe_sub(u,u,h->Z); /* u = y^2-1 */
+ fe_add(v,v,h->Z); /* v = dy^2+1 */
+
+ fe_sq(v3,v);
+ fe_mul(v3,v3,v); /* v3 = v^3 */
+ fe_sq(h->X,v3);
+ fe_mul(h->X,h->X,v);
+ fe_mul(h->X,h->X,u); /* x = uv^7 */
+
+ fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */
+ fe_mul(h->X,h->X,v3);
+ fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */
+
+ fe_sq(vxx,h->X);
+ fe_mul(vxx,vxx,v);
+ fe_sub(check,vxx,u); /* vx^2-u */
+
+ if (fe_isnonzero(check))
+ {
+ fe_add(check,vxx,u); /* vx^2+u */
+
+ if (fe_isnonzero(check))
+ {
+ return -1;
+ }
+ fe_mul(h->X,h->X,sqrtm1);
+ }
+
+ if (fe_isnegative(h->X) == (s[31] >> 7))
+ {
+ fe_neg(h->X,h->X);
+ }
+ fe_mul(h->T,h->X,h->Y);
+
+ return 0;
+}
+
+/**
+ * r = p + q
+ */
+static void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q)
+{
+ fe t0;
+
+ fe_add(r->X, p->Y, p->X);
+ fe_sub(r->Y, p->Y, p->X);
+ fe_mul(r->Z, r->X, q->yplusx);
+ fe_mul(r->Y, r->Y, q->yminusx);
+ fe_mul(r->T, q->xy2d, p->T);
+ fe_add(t0, p->Z, p->Z);
+ fe_sub(r->X, r->Z, r->Y);
+ fe_add(r->Y, r->Z, r->Y);
+ fe_add(r->Z, t0, r->T);
+ fe_sub(r->T, t0, r->T);
+}
+
+/**
+ * r = p - q
+ */
+static void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q)
+{
+ fe t0;
+
+ fe_add(r->X, p->Y, p->X);
+ fe_sub(r->Y, p->Y, p->X);
+ fe_mul(r->Z, r->X, q->yminusx);
+ fe_mul(r->Y, r->Y, q->yplusx);
+ fe_mul(r->T, q->xy2d, p->T);
+ fe_add(t0, p->Z, p->Z);
+ fe_sub(r->X, r->Z, r->Y);
+ fe_add(r->Y, r->Z, r->Y);
+ fe_sub(r->Z, t0, r->T);
+ fe_add(r->T, t0, r->T);
+}
+
+/**
+ * r = p
+ */
+static void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p)
+{
+ fe_mul(r->X,p->X,p->T);
+ fe_mul(r->Y,p->Y,p->Z);
+ fe_mul(r->Z,p->Z,p->T);
+}
+
+/**
+ * r = p
+ */
+static void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p)
+{
+ fe_mul(r->X,p->X,p->T);
+ fe_mul(r->Y,p->Y,p->Z);
+ fe_mul(r->Z,p->Z,p->T);
+ fe_mul(r->T,p->X,p->Y);
+}
+
+static void ge_p2_0(ge_p2 *h)
+{
+ fe_0(h->X);
+ fe_1(h->Y);
+ fe_1(h->Z);
+}
+
+/**
+ * r = 2 * p
+ */
+static void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p)
+{
+ fe t0;
+
+ fe_sq(r->X, p->X);
+ fe_sq(r->Z, p->Y);
+ fe_sq2(r->T, p->Z);
+ fe_add(r->Y, p->X, p->Y);
+ fe_sq(t0, r->Y);
+ fe_add(r->Y, r->Z, r->X);
+ fe_sub(r->Z, r->Z, r->X);
+ fe_sub(r->X, t0, r->Y);
+ fe_sub(r->T, r->T, r->Z);
+}
+
+static void ge_p3_0(ge_p3 *h)
+{
+ fe_0(h->X);
+ fe_1(h->Y);
+ fe_1(h->Z);
+ fe_0(h->T);
+}
+
+/**
+ * r = p
+ */
+
+/* 2 * d = 16295367250680780974490674513165176452449235426866156013048779062215315747161 */
+static const fe d2 = {
+ -21827239, -5839606, -30745221, 13898782, 229458,
+ 15978800, -12551817, -6495438, 29715968, 9444199
+};
+
+static void ge_p3_to_cached(ge_cached *r, const ge_p3 *p)
+{
+ fe_add(r->YplusX,p->Y,p->X);
+ fe_sub(r->YminusX,p->Y,p->X);
+ fe_copy(r->Z,p->Z);
+ fe_mul(r->T2d,p->T,d2);
+}
+
+/**
+ * r = p
+ */
+static void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p)
+{
+ fe_copy(r->X,p->X);
+ fe_copy(r->Y,p->Y);
+ fe_copy(r->Z,p->Z);
+}
+
+void ge_p3_tobytes(uint8_t *s, const ge_p3 *h)
+{
+ fe recip, x, y;
+
+ fe_invert(recip,h->Z);
+ fe_mul(x,h->X,recip);
+ fe_mul(y,h->Y,recip);
+ fe_tobytes(s,y);
+
+ s[31] ^= fe_isnegative(x) << 7;
+}
+
+/**
+ * r = 2 * p
+ */
+static void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p)
+{
+ ge_p2 q;
+ ge_p3_to_p2(&q,p);
+ ge_p2_dbl(r,&q);
+}
+
+static void ge_precomp_0(ge_precomp *h)
+{
+ fe_1(h->yplusx);
+ fe_1(h->yminusx);
+ fe_0(h->xy2d);
+}
+
+static uint8_t equal(int8_t b, int8_t c)
+{
+ uint8_t ub = b;
+ uint8_t uc = c;
+ uint8_t x = ub ^ uc; /* 0: yes; 1..255: no */
+ uint32_t y = x; /* 0: yes; 1..255: no */
+
+ y -= 1; /* 4294967295: yes; 0..254: no */
+ y >>= 31; /* 1: yes; 0: no */
+
+ return y;
+}
+
+static uint8_t negative(int8_t b)
+{
+ uint64_t x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */
+
+ x >>= 63; /* 1: yes; 0: no */
+
+ return x;
+}
+
+static void cmov(ge_precomp *t, const ge_precomp *u, uint8_t b)
+{
+ fe_cmov(t->yplusx,u->yplusx,b);
+ fe_cmov(t->yminusx,u->yminusx,b);
+ fe_cmov(t->xy2d,u->xy2d,b);
+}
+
+/**
+ * base[i][j] = (j+1)*256^i*B
+ */
+static const ge_precomp base[32][8] = {
+#include "base.h"
+};
+
+static void ge_select(ge_precomp *t, int pos, int8_t b)
+{
+ ge_precomp minust;
+ uint8_t bnegative = negative(b);
+ uint8_t babs = b - (((-bnegative) & b) * ((int8_t) 1 << 1));
+
+ ge_precomp_0(t);
+ cmov(t,&base[pos][0],equal(babs,1));
+ cmov(t,&base[pos][1],equal(babs,2));
+ cmov(t,&base[pos][2],equal(babs,3));
+ cmov(t,&base[pos][3],equal(babs,4));
+ cmov(t,&base[pos][4],equal(babs,5));
+ cmov(t,&base[pos][5],equal(babs,6));
+ cmov(t,&base[pos][6],equal(babs,7));
+ cmov(t,&base[pos][7],equal(babs,8));
+ fe_copy(minust.yplusx,t->yminusx);
+ fe_copy(minust.yminusx,t->yplusx);
+ fe_neg(minust.xy2d,t->xy2d);
+ cmov(t,&minust,bnegative);
+}
+
+/**
+ *r = p - q
+ */
+static void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q)
+{
+ fe t0;
+
+ fe_add(r->X, p->Y, p->X);
+ fe_sub(r->Y, p->Y, p->X);
+ fe_mul(r->Z, r->X, q->YminusX);
+ fe_mul(r->Y, r->Y, q->YplusX);
+ fe_mul(r->T, q->T2d, p->T);
+ fe_mul(r->X, p->Z, q->Z);
+ fe_add(t0, r->X, r->X);
+ fe_sub(r->X, r->Z, r->Y);
+ fe_add(r->Y, r->Z, r->Y);
+ fe_sub(r->Z, t0, r->T);
+ fe_add(r->T, t0, r->T);
+}
+
+void ge_tobytes(uint8_t *s, const ge_p2 *h)
+{
+ fe recip, x, y;
+
+ fe_invert(recip,h->Z);
+ fe_mul(x,h->X,recip);
+ fe_mul(y,h->Y,recip);
+ fe_tobytes(s,y);
+
+ s[31] ^= fe_isnegative(x) << 7;
+}
+
+/**
+ * h = a * B
+ * where a = a[0]+256*a[1]+...+256^31 a[31]
+ * B is the Ed25519 base point (x,4/5) with x positive.
+ *
+ * Preconditions:
+ * a[31] <= 127
+ */
+
+/**
+ * r = a * A + b * B
+ * where a = a[0]+256*a[1]+...+256^31 a[31].
+ * and b = b[0]+256*b[1]+...+256^31 b[31].
+ * B is the Ed25519 base point (x,4/5) with x positive.
+ */
+void ge_double_scalarmult_vartime(ge_p2 *r, const uint8_t *a, const ge_p3 *A,
+ const uint8_t *b)
+{
+ int8_t aslide[256];
+ int8_t bslide[256];
+ ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */
+ ge_p1p1 t;
+ ge_p3 u, A2;
+ int i;
+
+ slide(aslide,a);
+ slide(bslide,b);
+
+ ge_p3_to_cached(&Ai[0],A);
+ ge_p3_dbl(&t,A);
+ ge_p1p1_to_p3(&A2,&t);
+
+ ge_add(&t,&A2,&Ai[0]);
+ ge_p1p1_to_p3(&u,&t);
+ ge_p3_to_cached(&Ai[1],&u);
+
+ ge_add(&t,&A2,&Ai[1]);
+ ge_p1p1_to_p3(&u,&t);
+ ge_p3_to_cached(&Ai[2],&u);
+
+ ge_add(&t,&A2,&Ai[2]);
+ ge_p1p1_to_p3(&u,&t);
+ ge_p3_to_cached(&Ai[3],&u);
+
+ ge_add(&t,&A2,&Ai[3]);
+ ge_p1p1_to_p3(&u,&t);
+ ge_p3_to_cached(&Ai[4],&u);
+
+ ge_add(&t,&A2,&Ai[4]);
+ ge_p1p1_to_p3(&u,&t);
+ ge_p3_to_cached(&Ai[5],&u);
+
+ ge_add(&t,&A2,&Ai[5]);
+ ge_p1p1_to_p3(&u,&t);
+ ge_p3_to_cached(&Ai[6],&u);
+
+ ge_add(&t,&A2,&Ai[6]);
+ ge_p1p1_to_p3(&u,&t);
+ ge_p3_to_cached(&Ai[7],&u);
+
+ ge_p2_0(r);
+
+ for (i = 255; i >= 0; --i)
+ {
+ if (aslide[i] || bslide[i])
+ {
+ break;
+ }
+ }
+
+ for (; i >= 0 ;--i)
+ {
+ ge_p2_dbl(&t,r);
+
+ if (aslide[i] > 0)
+ {
+ ge_p1p1_to_p3(&u,&t);
+ ge_add(&t,&u,&Ai[aslide[i]/2]);
+ }
+ else if (aslide[i] < 0)
+ {
+ ge_p1p1_to_p3(&u,&t);
+ ge_sub(&t,&u,&Ai[(-aslide[i])/2]);
+ }
+
+ if (bslide[i] > 0)
+ {
+ ge_p1p1_to_p3(&u,&t);
+ ge_madd(&t,&u,&Bi[bslide[i]/2]);
+ }
+ else if (bslide[i] < 0)
+ {
+ ge_p1p1_to_p3(&u,&t);
+ ge_msub(&t,&u,&Bi[(-bslide[i])/2]);
+ }
+ ge_p1p1_to_p2(r,&t);
+ }
+}
+
+void ge_scalarmult_base(ge_p3 *h, const uint8_t *a)
+{
+ int8_t e[64];
+ int8_t carry = 0;
+ ge_p1p1 r;
+ ge_p2 s;
+ ge_precomp t;
+ int i;
+
+ for (i = 0; i < 32; ++i)
+ {
+ e[2 * i + 0] = (a[i] >> 0) & 15;
+ e[2 * i + 1] = (a[i] >> 4) & 15;
+ }
+ /* each e[i] is between 0 and 15 */
+ /* e[63] is between 0 and 7 */
+
+ for (i = 0; i < 63; ++i) {
+ e[i] += carry;
+ carry = e[i] + 8;
+ carry >>= 4;
+ e[i] -= carry * ((int8_t) 1 << 4);
+ }
+ e[63] += carry;
+ /* each e[i] is between -8 and 8 */
+
+ ge_p3_0(h);
+ for (i = 1; i < 64; i += 2)
+ {
+ ge_select(&t,i / 2,e[i]);
+ ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r);
+ }
+
+ ge_p3_dbl(&r,h); ge_p1p1_to_p2(&s,&r);
+ ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r);
+ ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r);
+ ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r);
+
+ for (i = 0; i < 64; i += 2)
+ {
+ ge_select(&t,i / 2,e[i]);
+ ge_madd(&r,h,&t);
+ ge_p1p1_to_p3(h,&r);
+ }
+}
+
+/**
+ * Input:
+ * a[0]+256*a[1]+...+256^31*a[31] = a
+ * b[0]+256*b[1]+...+256^31*b[31] = b
+ * c[0]+256*c[1]+...+256^31*c[31] = c
+ *
+ * Output:
+ * s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l
+ * where l = 2^252 + 27742317777372353535851937790883648493.
+ */
+void sc_muladd(uint8_t *s, const uint8_t *a, const uint8_t *b, const uint8_t *c)
+{
+ int64_t a0 = 2097151 & load_3(a);
+ int64_t a1 = 2097151 & (load_4(a + 2) >> 5);
+ int64_t a2 = 2097151 & (load_3(a + 5) >> 2);
+ int64_t a3 = 2097151 & (load_4(a + 7) >> 7);
+ int64_t a4 = 2097151 & (load_4(a + 10) >> 4);
+ int64_t a5 = 2097151 & (load_3(a + 13) >> 1);
+ int64_t a6 = 2097151 & (load_4(a + 15) >> 6);
+ int64_t a7 = 2097151 & (load_3(a + 18) >> 3);
+ int64_t a8 = 2097151 & load_3(a + 21);
+ int64_t a9 = 2097151 & (load_4(a + 23) >> 5);
+ int64_t a10 = 2097151 & (load_3(a + 26) >> 2);
+ int64_t a11 = (load_4(a + 28) >> 7);
+
+ int64_t b0 = 2097151 & load_3(b);
+ int64_t b1 = 2097151 & (load_4(b + 2) >> 5);
+ int64_t b2 = 2097151 & (load_3(b + 5) >> 2);
+ int64_t b3 = 2097151 & (load_4(b + 7) >> 7);
+ int64_t b4 = 2097151 & (load_4(b + 10) >> 4);
+ int64_t b5 = 2097151 & (load_3(b + 13) >> 1);
+ int64_t b6 = 2097151 & (load_4(b + 15) >> 6);
+ int64_t b7 = 2097151 & (load_3(b + 18) >> 3);
+ int64_t b8 = 2097151 & load_3(b + 21);
+ int64_t b9 = 2097151 & (load_4(b + 23) >> 5);
+ int64_t b10 = 2097151 & (load_3(b + 26) >> 2);
+ int64_t b11 = (load_4(b + 28) >> 7);
+
+ int64_t c0 = 2097151 & load_3(c);
+ int64_t c1 = 2097151 & (load_4(c + 2) >> 5);
+ int64_t c2 = 2097151 & (load_3(c + 5) >> 2);
+ int64_t c3 = 2097151 & (load_4(c + 7) >> 7);
+ int64_t c4 = 2097151 & (load_4(c + 10) >> 4);
+ int64_t c5 = 2097151 & (load_3(c + 13) >> 1);
+ int64_t c6 = 2097151 & (load_4(c + 15) >> 6);
+ int64_t c7 = 2097151 & (load_3(c + 18) >> 3);
+ int64_t c8 = 2097151 & load_3(c + 21);
+ int64_t c9 = 2097151 & (load_4(c + 23) >> 5);
+ int64_t c10 = 2097151 & (load_3(c + 26) >> 2);
+ int64_t c11 = (load_4(c + 28) >> 7);
+
+ int64_t s0, s1, s2, s3, s4, s5, s6, s7, s8, s9, s10, s11;
+ int64_t s12, s13, s14, s15, s16, s17, s18, s19, s20, s21, s22, s23;
+
+ int64_t carry0, carry1, carry2, carry3, carry4, carry5, carry6;
+ int64_t carry7, carry8, carry9, carry10, carry11, carry12, carry13;
+ int64_t carry14, carry15, carry16, carry17, carry18, carry19, carry20;
+ int64_t carry21, carry22;
+
+ s0 = c0 + a0*b0;
+ s1 = c1 + a0*b1 + a1*b0;
+ s2 = c2 + a0*b2 + a1*b1 + a2*b0;
+ s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0;
+ s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0;
+ s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0;
+ s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0;
+ s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0;
+ s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0;
+ s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0;
+ s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0;
+ s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0;
+ s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1;
+ s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2;
+ s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3;
+ s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4;
+ s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5;
+ s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6;
+ s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7;
+ s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8;
+ s20 = a9*b11 + a10*b10 + a11*b9;
+ s21 = a10*b11 + a11*b10;
+ s22 = a11*b11;
+ s23 = 0;
+
+ carry0 = (s0 + (int64_t) (1L << 20)) >> 21;
+ s1 += carry0;
+ s0 -= carry0 * ((uint64_t) 1L << 21);
+
+ carry2 = (s2 + (int64_t) (1L << 20)) >> 21;
+ s3 += carry2;
+ s2 -= carry2 * ((uint64_t) 1L << 21);
+
+ carry4 = (s4 + (int64_t) (1L << 20)) >> 21;
+ s5 += carry4;
+ s4 -= carry4 * ((uint64_t) 1L << 21);
+
+ carry6 = (s6 + (int64_t) (1L << 20)) >> 21;
+ s7 += carry6;
+ s6 -= carry6 * ((uint64_t) 1L << 21);
+
+ carry8 = (s8 + (int64_t) (1L << 20)) >> 21;
+ s9 += carry8;
+ s8 -= carry8 * ((uint64_t) 1L << 21);
+
+ carry10 = (s10 + (int64_t) (1L << 20)) >> 21;
+ s11 += carry10;
+ s10 -= carry10 * ((uint64_t) 1L << 21);
+
+ carry12 = (s12 + (int64_t) (1L << 20)) >> 21;
+ s13 += carry12;
+ s12 -= carry12 * ((uint64_t) 1L << 21);
+
+ carry14 = (s14 + (int64_t) (1L << 20)) >> 21;
+ s15 += carry14;
+ s14 -= carry14 * ((uint64_t) 1L << 21);
+
+ carry16 = (s16 + (int64_t) (1L << 20)) >> 21;
+ s17 += carry16;
+ s16 -= carry16 * ((uint64_t) 1L << 21);
+
+ carry18 = (s18 + (int64_t) (1L << 20)) >> 21;
+ s19 += carry18;
+ s18 -= carry18 * ((uint64_t) 1L << 21);
+
+ carry20 = (s20 + (int64_t) (1L << 20)) >> 21;
+ s21 += carry20;
+ s20 -= carry20 * ((uint64_t) 1L << 21);
+
+ carry22 = (s22 + (int64_t) (1L << 20)) >> 21;
+ s23 += carry22;
+ s22 -= carry22 * ((uint64_t) 1L << 21);
+
+ carry1 = (s1 + (int64_t) (1L << 20)) >> 21;
+ s2 += carry1;
+ s1 -= carry1 * ((uint64_t) 1L << 21);
+
+ carry3 = (s3 + (int64_t) (1L << 20)) >> 21;
+ s4 += carry3;
+ s3 -= carry3 * ((uint64_t) 1L << 21);
+
+ carry5 = (s5 + (int64_t) (1L << 20)) >> 21;
+ s6 += carry5;
+ s5 -= carry5 * ((uint64_t) 1L << 21);
+
+ carry7 = (s7 + (int64_t) (1L << 20)) >> 21;
+ s8 += carry7;
+ s7 -= carry7 * ((uint64_t) 1L << 21);
+
+ carry9 = (s9 + (int64_t) (1L << 20)) >> 21;
+ s10 += carry9;
+ s9 -= carry9 * ((uint64_t) 1L << 21);
+
+ carry11 = (s11 + (int64_t) (1L << 20)) >> 21;
+ s12 += carry11;
+ s11 -= carry11 * ((uint64_t) 1L << 21);
+
+ carry13 = (s13 + (int64_t) (1L << 20)) >> 21;
+ s14 += carry13;
+ s13 -= carry13 * ((uint64_t) 1L << 21);
+
+ carry15 = (s15 + (int64_t) (1L << 20)) >> 21;
+ s16 += carry15;
+ s15 -= carry15 * ((uint64_t) 1L << 21);
+
+ carry17 = (s17 + (int64_t) (1L << 20)) >> 21;
+ s18 += carry17;
+ s17 -= carry17 * ((uint64_t) 1L << 21);
+
+ carry19 = (s19 + (int64_t) (1L << 20)) >> 21;
+ s20 += carry19;
+ s19 -= carry19 * ((uint64_t) 1L << 21);
+
+ carry21 = (s21 + (int64_t) (1L << 20)) >> 21;
+ s22 += carry21;
+ s21 -= carry21 * ((uint64_t) 1L << 21);
+
+ s11 += s23 * 666643;
+ s12 += s23 * 470296;
+ s13 += s23 * 654183;
+ s14 -= s23 * 997805;
+ s15 += s23 * 136657;
+ s16 -= s23 * 683901;
+
+ s10 += s22 * 666643;
+ s11 += s22 * 470296;
+ s12 += s22 * 654183;
+ s13 -= s22 * 997805;
+ s14 += s22 * 136657;
+ s15 -= s22 * 683901;
+
+ s9 += s21 * 666643;
+ s10 += s21 * 470296;
+ s11 += s21 * 654183;
+ s12 -= s21 * 997805;
+ s13 += s21 * 136657;
+ s14 -= s21 * 683901;
+
+ s8 += s20 * 666643;
+ s9 += s20 * 470296;
+ s10 += s20 * 654183;
+ s11 -= s20 * 997805;
+ s12 += s20 * 136657;
+ s13 -= s20 * 683901;
+
+ s7 += s19 * 666643;
+ s8 += s19 * 470296;
+ s9 += s19 * 654183;
+ s10 -= s19 * 997805;
+ s11 += s19 * 136657;
+ s12 -= s19 * 683901;
+
+ s6 += s18 * 666643;
+ s7 += s18 * 470296;
+ s8 += s18 * 654183;
+ s9 -= s18 * 997805;
+ s10 += s18 * 136657;
+ s11 -= s18 * 683901;
+
+ carry6 = (s6 + (int64_t) (1L << 20)) >> 21;
+ s7 += carry6;
+ s6 -= carry6 * ((uint64_t) 1L << 21);
+
+ carry8 = (s8 + (int64_t) (1L << 20)) >> 21;
+ s9 += carry8;
+ s8 -= carry8 * ((uint64_t) 1L << 21);
+
+ carry10 = (s10 + (int64_t) (1L << 20)) >> 21;
+ s11 += carry10;
+ s10 -= carry10 * ((uint64_t) 1L << 21);
+
+ carry12 = (s12 + (int64_t) (1L << 20)) >> 21;
+ s13 += carry12;
+ s12 -= carry12 * ((uint64_t) 1L << 21);
+
+ carry14 = (s14 + (int64_t) (1L << 20)) >> 21;
+ s15 += carry14;
+ s14 -= carry14 * ((uint64_t) 1L << 21);
+
+ carry16 = (s16 + (int64_t) (1L << 20)) >> 21;
+ s17 += carry16;
+ s16 -= carry16 * ((uint64_t) 1L << 21);
+
+ carry7 = (s7 + (int64_t) (1L << 20)) >> 21;
+ s8 += carry7;
+ s7 -= carry7 * ((uint64_t) 1L << 21);
+
+ carry9 = (s9 + (int64_t) (1L << 20)) >> 21;
+ s10 += carry9;
+ s9 -= carry9 * ((uint64_t) 1L << 21);
+
+ carry11 = (s11 + (int64_t) (1L << 20)) >> 21;
+ s12 += carry11;
+ s11 -= carry11 * ((uint64_t) 1L << 21);
+
+ carry13 = (s13 + (int64_t) (1L << 20)) >> 21;
+ s14 += carry13;
+ s13 -= carry13 * ((uint64_t) 1L << 21);
+
+ carry15 = (s15 + (int64_t) (1L << 20)) >> 21;
+ s16 += carry15;
+ s15 -= carry15 * ((uint64_t) 1L << 21);
+
+ s5 += s17 * 666643;
+ s6 += s17 * 470296;
+ s7 += s17 * 654183;
+ s8 -= s17 * 997805;
+ s9 += s17 * 136657;
+ s10 -= s17 * 683901;
+
+ s4 += s16 * 666643;
+ s5 += s16 * 470296;
+ s6 += s16 * 654183;
+ s7 -= s16 * 997805;
+ s8 += s16 * 136657;
+ s9 -= s16 * 683901;
+
+ s3 += s15 * 666643;
+ s4 += s15 * 470296;
+ s5 += s15 * 654183;
+ s6 -= s15 * 997805;
+ s7 += s15 * 136657;
+ s8 -= s15 * 683901;
+
+ s2 += s14 * 666643;
+ s3 += s14 * 470296;
+ s4 += s14 * 654183;
+ s5 -= s14 * 997805;
+ s6 += s14 * 136657;
+ s7 -= s14 * 683901;
+
+ s1 += s13 * 666643;
+ s2 += s13 * 470296;
+ s3 += s13 * 654183;
+ s4 -= s13 * 997805;
+ s5 += s13 * 136657;
+ s6 -= s13 * 683901;
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = (s0 + (int64_t) (1L << 20)) >> 21;
+ s1 += carry0;
+ s0 -= carry0 * ((uint64_t) 1L << 21);
+
+ carry2 = (s2 + (int64_t) (1L << 20)) >> 21;
+ s3 += carry2;
+ s2 -= carry2 * ((uint64_t) 1L << 21);
+
+ carry4 = (s4 + (int64_t) (1L << 20)) >> 21;
+ s5 += carry4;
+ s4 -= carry4 * ((uint64_t) 1L << 21);
+
+ carry6 = (s6 + (int64_t) (1L << 20)) >> 21;
+ s7 += carry6;
+ s6 -= carry6 * ((uint64_t) 1L << 21);
+
+ carry8 = (s8 + (int64_t) (1L << 20)) >> 21;
+ s9 += carry8;
+ s8 -= carry8 * ((uint64_t) 1L << 21);
+
+ carry10 = (s10 + (int64_t) (1L << 20)) >> 21;
+ s11 += carry10;
+ s10 -= carry10 * ((uint64_t) 1L << 21);
+
+ carry1 = (s1 + (int64_t) (1L << 20)) >> 21;
+ s2 += carry1;
+ s1 -= carry1 * ((uint64_t) 1L << 21);
+
+ carry3 = (s3 + (int64_t) (1L << 20)) >> 21;
+ s4 += carry3;
+ s3 -= carry3 * ((uint64_t) 1L << 21);
+
+ carry5 = (s5 + (int64_t) (1L << 20)) >> 21;
+ s6 += carry5;
+ s5 -= carry5 * ((uint64_t) 1L << 21);
+
+ carry7 = (s7 + (int64_t) (1L << 20)) >> 21;
+ s8 += carry7;
+ s7 -= carry7 * ((uint64_t) 1L << 21);
+
+ carry9 = (s9 + (int64_t) (1L << 20)) >> 21;
+ s10 += carry9;
+ s9 -= carry9 * ((uint64_t) 1L << 21);
+
+ carry11 = (s11 + (int64_t) (1L << 20)) >> 21;
+ s12 += carry11;
+ s11 -= carry11 * ((uint64_t) 1L << 21);
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = s0 >> 21;
+ s1 += carry0;
+ s0 -= carry0 * ((uint64_t) 1L << 21);
+
+ carry1 = s1 >> 21;
+ s2 += carry1;
+ s1 -= carry1 * ((uint64_t) 1L << 21);
+
+ carry2 = s2 >> 21;
+ s3 += carry2;
+ s2 -= carry2 * ((uint64_t) 1L << 21);
+
+ carry3 = s3 >> 21;
+ s4 += carry3;
+ s3 -= carry3 * ((uint64_t) 1L << 21);
+
+ carry4 = s4 >> 21;
+ s5 += carry4;
+ s4 -= carry4 * ((uint64_t) 1L << 21);
+
+ carry5 = s5 >> 21;
+ s6 += carry5;
+ s5 -= carry5 * ((uint64_t) 1L << 21);
+
+ carry6 = s6 >> 21;
+ s7 += carry6;
+ s6 -= carry6 * ((uint64_t) 1L << 21);
+
+ carry7 = s7 >> 21;
+ s8 += carry7;
+ s7 -= carry7 * ((uint64_t) 1L << 21);
+
+ carry8 = s8 >> 21;
+ s9 += carry8;
+ s8 -= carry8 * ((uint64_t) 1L << 21);
+
+ carry9 = s9 >> 21;
+ s10 += carry9;
+ s9 -= carry9 * ((uint64_t) 1L << 21);
+
+ carry10 = s10 >> 21;
+ s11 += carry10;
+ s10 -= carry10 * ((uint64_t) 1L << 21);
+
+ carry11 = s11 >> 21;
+ s12 += carry11;
+ s11 -= carry11 * ((uint64_t) 1L << 21);
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+
+ carry0 = s0 >> 21;
+ s1 += carry0;
+ s0 -= carry0 * ((uint64_t) 1L << 21);
+
+ carry1 = s1 >> 21;
+ s2 += carry1;
+ s1 -= carry1 * ((uint64_t) 1L << 21);
+
+ carry2 = s2 >> 21;
+ s3 += carry2;
+ s2 -= carry2 * ((uint64_t) 1L << 21);
+
+ carry3 = s3 >> 21;
+ s4 += carry3;
+ s3 -= carry3 * ((uint64_t) 1L << 21);
+
+ carry4 = s4 >> 21;
+ s5 += carry4;
+ s4 -= carry4 * ((uint64_t) 1L << 21);
+
+ carry5 = s5 >> 21;
+ s6 += carry5;
+ s5 -= carry5 * ((uint64_t) 1L << 21);
+
+ carry6 = s6 >> 21;
+ s7 += carry6;
+ s6 -= carry6 * ((uint64_t) 1L << 21);
+
+ carry7 = s7 >> 21;
+ s8 += carry7;
+ s7 -= carry7 * ((uint64_t) 1L << 21);
+
+ carry8 = s8 >> 21;
+ s9 += carry8;
+ s8 -= carry8 * ((uint64_t) 1L << 21);
+
+ carry9 = s9 >> 21;
+ s10 += carry9;
+ s9 -= carry9 * ((uint64_t) 1L << 21);
+
+ carry10 = s10 >> 21;
+ s11 += carry10;
+ s10 -= carry10 * ((uint64_t) 1L << 21);
+
+ s[0] = s0 >> 0;
+ s[1] = s0 >> 8;
+ s[2] = (s0 >> 16) | (s1 * ((uint64_t) 1 << 5));
+ s[3] = s1 >> 3;
+ s[4] = s1 >> 11;
+ s[5] = (s1 >> 19) | (s2 * ((uint64_t) 1 << 2));
+ s[6] = s2 >> 6;
+ s[7] = (s2 >> 14) | (s3 * ((uint64_t) 1 << 7));
+ s[8] = s3 >> 1;
+ s[9] = s3 >> 9;
+ s[10] = (s3 >> 17) | (s4 * ((uint64_t) 1 << 4));
+ s[11] = s4 >> 4;
+ s[12] = s4 >> 12;
+ s[13] = (s4 >> 20) | (s5 * ((uint64_t) 1 << 1));
+ s[14] = s5 >> 7;
+ s[15] = (s5 >> 15) | (s6 * ((uint64_t) 1 << 6));
+ s[16] = s6 >> 2;
+ s[17] = s6 >> 10;
+ s[18] = (s6 >> 18) | (s7 * ((uint64_t) 1 << 3));
+ s[19] = s7 >> 5;
+ s[20] = s7 >> 13;
+ s[21] = s8 >> 0;
+ s[22] = s8 >> 8;
+ s[23] = (s8 >> 16) | (s9 * ((uint64_t) 1 << 5));
+ s[24] = s9 >> 3;
+ s[25] = s9 >> 11;
+ s[26] = (s9 >> 19) | (s10 * ((uint64_t) 1 << 2));
+ s[27] = s10 >> 6;
+ s[28] = (s10 >> 14) | (s11 * ((uint64_t) 1 << 7));
+ s[29] = s11 >> 1;
+ s[30] = s11 >> 9;
+ s[31] = s11 >> 17;
+}
+
+/**
+ * Input:
+ * s[0]+256*s[1]+...+256^63*s[63] = s
+ *
+ * Output:
+ * s[0]+256*s[1]+...+256^31*s[31] = s mod l
+ * where l = 2^252 + 27742317777372353535851937790883648493.
+ * Overwrites s in place.
+ */
+void sc_reduce(uint8_t *s)
+{
+ int64_t s0 = 2097151 & load_3(s);
+ int64_t s1 = 2097151 & (load_4(s + 2) >> 5);
+ int64_t s2 = 2097151 & (load_3(s + 5) >> 2);
+ int64_t s3 = 2097151 & (load_4(s + 7) >> 7);
+ int64_t s4 = 2097151 & (load_4(s + 10) >> 4);
+ int64_t s5 = 2097151 & (load_3(s + 13) >> 1);
+ int64_t s6 = 2097151 & (load_4(s + 15) >> 6);
+ int64_t s7 = 2097151 & (load_3(s + 18) >> 3);
+ int64_t s8 = 2097151 & load_3(s + 21);
+ int64_t s9 = 2097151 & (load_4(s + 23) >> 5);
+ int64_t s10 = 2097151 & (load_3(s + 26) >> 2);
+ int64_t s11 = 2097151 & (load_4(s + 28) >> 7);
+ int64_t s12 = 2097151 & (load_4(s + 31) >> 4);
+ int64_t s13 = 2097151 & (load_3(s + 34) >> 1);
+ int64_t s14 = 2097151 & (load_4(s + 36) >> 6);
+ int64_t s15 = 2097151 & (load_3(s + 39) >> 3);
+ int64_t s16 = 2097151 & load_3(s + 42);
+ int64_t s17 = 2097151 & (load_4(s + 44) >> 5);
+ int64_t s18 = 2097151 & (load_3(s + 47) >> 2);
+ int64_t s19 = 2097151 & (load_4(s + 49) >> 7);
+ int64_t s20 = 2097151 & (load_4(s + 52) >> 4);
+ int64_t s21 = 2097151 & (load_3(s + 55) >> 1);
+ int64_t s22 = 2097151 & (load_4(s + 57) >> 6);
+ int64_t s23 = (load_4(s + 60) >> 3);
+
+ int64_t carry0, carry1, carry2, carry3, carry4, carry5, carry6;
+ int64_t carry7, carry8, carry9, carry10, carry11, carry12, carry13;
+ int64_t carry14, carry15, carry16;
+
+ s11 += s23 * 666643;
+ s12 += s23 * 470296;
+ s13 += s23 * 654183;
+ s14 -= s23 * 997805;
+ s15 += s23 * 136657;
+ s16 -= s23 * 683901;
+
+ s10 += s22 * 666643;
+ s11 += s22 * 470296;
+ s12 += s22 * 654183;
+ s13 -= s22 * 997805;
+ s14 += s22 * 136657;
+ s15 -= s22 * 683901;
+
+ s9 += s21 * 666643;
+ s10 += s21 * 470296;
+ s11 += s21 * 654183;
+ s12 -= s21 * 997805;
+ s13 += s21 * 136657;
+ s14 -= s21 * 683901;
+
+ s8 += s20 * 666643;
+ s9 += s20 * 470296;
+ s10 += s20 * 654183;
+ s11 -= s20 * 997805;
+ s12 += s20 * 136657;
+ s13 -= s20 * 683901;
+
+ s7 += s19 * 666643;
+ s8 += s19 * 470296;
+ s9 += s19 * 654183;
+ s10 -= s19 * 997805;
+ s11 += s19 * 136657;
+ s12 -= s19 * 683901;
+
+ s6 += s18 * 666643;
+ s7 += s18 * 470296;
+ s8 += s18 * 654183;
+ s9 -= s18 * 997805;
+ s10 += s18 * 136657;
+ s11 -= s18 * 683901;
+
+ carry6 = (s6 + (int64_t) (1L << 20)) >> 21;
+ s7 += carry6;
+ s6 -= carry6 * ((uint64_t) 1L << 21);
+
+ carry8 = (s8 + (int64_t) (1L << 20)) >> 21;
+ s9 += carry8;
+ s8 -= carry8 * ((uint64_t) 1L << 21);
+
+ carry10 = (s10 + (int64_t) (1L << 20)) >> 21;
+ s11 += carry10;
+ s10 -= carry10 * ((uint64_t) 1L << 21);
+
+ carry12 = (s12 + (int64_t) (1L << 20)) >> 21;
+ s13 += carry12;
+ s12 -= carry12 * ((uint64_t) 1L << 21);
+
+ carry14 = (s14 + (int64_t) (1L << 20)) >> 21;
+ s15 += carry14;
+ s14 -= carry14 * ((uint64_t) 1L << 21);
+
+ carry16 = (s16 + (int64_t) (1L << 20)) >> 21;
+ s17 += carry16;
+ s16 -= carry16 * ((uint64_t) 1L << 21);
+
+ carry7 = (s7 + (int64_t) (1L << 20)) >> 21;
+ s8 += carry7;
+ s7 -= carry7 * ((uint64_t) 1L << 21);
+
+ carry9 = (s9 + (int64_t) (1L << 20)) >> 21;
+ s10 += carry9;
+ s9 -= carry9 * ((uint64_t) 1L << 21);
+
+ carry11 = (s11 + (int64_t) (1L << 20)) >> 21;
+ s12 += carry11;
+ s11 -= carry11 * ((uint64_t) 1L << 21);
+
+ carry13 = (s13 + (int64_t) (1L << 20)) >> 21;
+ s14 += carry13;
+ s13 -= carry13 * ((uint64_t) 1L << 21);
+
+ carry15 = (s15 + (int64_t) (1L << 20)) >> 21;
+ s16 += carry15;
+ s15 -= carry15 * ((uint64_t) 1L << 21);
+
+ s5 += s17 * 666643;
+ s6 += s17 * 470296;
+ s7 += s17 * 654183;
+ s8 -= s17 * 997805;
+ s9 += s17 * 136657;
+ s10 -= s17 * 683901;
+
+ s4 += s16 * 666643;
+ s5 += s16 * 470296;
+ s6 += s16 * 654183;
+ s7 -= s16 * 997805;
+ s8 += s16 * 136657;
+ s9 -= s16 * 683901;
+
+ s3 += s15 * 666643;
+ s4 += s15 * 470296;
+ s5 += s15 * 654183;
+ s6 -= s15 * 997805;
+ s7 += s15 * 136657;
+ s8 -= s15 * 683901;
+
+ s2 += s14 * 666643;
+ s3 += s14 * 470296;
+ s4 += s14 * 654183;
+ s5 -= s14 * 997805;
+ s6 += s14 * 136657;
+ s7 -= s14 * 683901;
+
+ s1 += s13 * 666643;
+ s2 += s13 * 470296;
+ s3 += s13 * 654183;
+ s4 -= s13 * 997805;
+ s5 += s13 * 136657;
+ s6 -= s13 * 683901;
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = (s0 + (int64_t) (1L << 20)) >> 21;
+ s1 += carry0;
+ s0 -= carry0 * ((uint64_t) 1L << 21);
+
+ carry2 = (s2 + (int64_t) (1L << 20)) >> 21;
+ s3 += carry2;
+ s2 -= carry2 * ((uint64_t) 1L << 21);
+
+ carry4 = (s4 + (int64_t) (1L << 20)) >> 21;
+ s5 += carry4;
+ s4 -= carry4 * ((uint64_t) 1L << 21);
+
+ carry6 = (s6 + (int64_t) (1L << 20)) >> 21;
+ s7 += carry6;
+ s6 -= carry6 * ((uint64_t) 1L << 21);
+
+ carry8 = (s8 + (int64_t) (1L << 20)) >> 21;
+ s9 += carry8;
+ s8 -= carry8 * ((uint64_t) 1L << 21);
+
+ carry10 = (s10 + (int64_t) (1L << 20)) >> 21;
+ s11 += carry10;
+ s10 -= carry10 * ((uint64_t) 1L << 21);
+
+ carry1 = (s1 + (int64_t) (1L << 20)) >> 21;
+ s2 += carry1;
+ s1 -= carry1 * ((uint64_t) 1L << 21);
+
+ carry3 = (s3 + (int64_t) (1L << 20)) >> 21;
+ s4 += carry3;
+ s3 -= carry3 * ((uint64_t) 1L << 21);
+
+ carry5 = (s5 + (int64_t) (1L << 20)) >> 21;
+ s6 += carry5;
+ s5 -= carry5 * ((uint64_t) 1L << 21);
+
+ carry7 = (s7 + (int64_t) (1L << 20)) >> 21;
+ s8 += carry7;
+ s7 -= carry7 * ((uint64_t) 1L << 21);
+
+ carry9 = (s9 + (int64_t) (1L << 20)) >> 21;
+ s10 += carry9;
+ s9 -= carry9 * ((uint64_t) 1L << 21);
+
+ carry11 = (s11 + (int64_t) (1L << 20)) >> 21;
+ s12 += carry11;
+ s11 -= carry11 * ((uint64_t) 1L << 21);
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = s0 >> 21;
+ s1 += carry0;
+ s0 -= carry0 * ((uint64_t) 1L << 21);
+
+ carry1 = s1 >> 21;
+ s2 += carry1;
+ s1 -= carry1 * ((uint64_t) 1L << 21);
+
+ carry2 = s2 >> 21;
+ s3 += carry2;
+ s2 -= carry2 * ((uint64_t) 1L << 21);
+
+ carry3 = s3 >> 21;
+ s4 += carry3;
+ s3 -= carry3 * ((uint64_t) 1L << 21);
+
+ carry4 = s4 >> 21;
+ s5 += carry4;
+ s4 -= carry4 * ((uint64_t) 1L << 21);
+
+ carry5 = s5 >> 21;
+ s6 += carry5;
+ s5 -= carry5 * ((uint64_t) 1L << 21);
+
+ carry6 = s6 >> 21;
+ s7 += carry6;
+ s6 -= carry6 * ((uint64_t) 1L << 21);
+
+ carry7 = s7 >> 21;
+ s8 += carry7;
+ s7 -= carry7 * ((uint64_t) 1L << 21);
+
+ carry8 = s8 >> 21;
+ s9 += carry8;
+ s8 -= carry8 * ((uint64_t) 1L << 21);
+
+ carry9 = s9 >> 21;
+ s10 += carry9;
+ s9 -= carry9 * ((uint64_t) 1L << 21);
+
+ carry10 = s10 >> 21;
+ s11 += carry10;
+ s10 -= carry10 * ((uint64_t) 1L << 21);
+
+ carry11 = s11 >> 21;
+ s12 += carry11;
+ s11 -= carry11 * ((uint64_t) 1L << 21);
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+
+ carry0 = s0 >> 21;
+ s1 += carry0;
+ s0 -= carry0 * ((uint64_t) 1L << 21);
+
+ carry1 = s1 >> 21;
+ s2 += carry1;
+ s1 -= carry1 * ((uint64_t) 1L << 21);
+
+ carry2 = s2 >> 21;
+ s3 += carry2;
+ s2 -= carry2 * ((uint64_t) 1L << 21);
+
+ carry3 = s3 >> 21;
+ s4 += carry3;
+ s3 -= carry3 * ((uint64_t) 1L << 21);
+
+ carry4 = s4 >> 21;
+ s5 += carry4;
+ s4 -= carry4 * ((uint64_t) 1L << 21);
+
+ carry5 = s5 >> 21;
+ s6 += carry5;
+ s5 -= carry5 * ((uint64_t) 1L << 21);
+
+ carry6 = s6 >> 21;
+ s7 += carry6;
+ s6 -= carry6 * ((uint64_t) 1L << 21);
+
+ carry7 = s7 >> 21;
+ s8 += carry7;
+ s7 -= carry7 * ((uint64_t) 1L << 21);
+
+ carry8 = s8 >> 21;
+ s9 += carry8;
+ s8 -= carry8 * ((uint64_t) 1L << 21);
+
+ carry9 = s9 >> 21;
+ s10 += carry9;
+ s9 -= carry9 * ((uint64_t) 1L << 21);
+
+ carry10 = s10 >> 21;
+ s11 += carry10;
+ s10 -= carry10 * ((uint64_t) 1L << 21);
+
+ s[0] = s0 >> 0;
+ s[1] = s0 >> 8;
+ s[2] = (s0 >> 16) | (s1 * ((uint64_t) 1 << 5));
+ s[3] = s1 >> 3;
+ s[4] = s1 >> 11;
+ s[5] = (s1 >> 19) | (s2 * ((uint64_t) 1 << 2));
+ s[6] = s2 >> 6;
+ s[7] = (s2 >> 14) | (s3 * ((uint64_t) 1 << 7));
+ s[8] = s3 >> 1;
+ s[9] = s3 >> 9;
+ s[10] = (s3 >> 17) | (s4 * ((uint64_t) 1 << 4));
+ s[11] = s4 >> 4;
+ s[12] = s4 >> 12;
+ s[13] = (s4 >> 20) | (s5 * ((uint64_t) 1 << 1));
+ s[14] = s5 >> 7;
+ s[15] = (s5 >> 15) | (s6 * ((uint64_t) 1 << 6));
+ s[16] = s6 >> 2;
+ s[17] = s6 >> 10;
+ s[18] = (s6 >> 18) | (s7 * ((uint64_t) 1 << 3));
+ s[19] = s7 >> 5;
+ s[20] = s7 >> 13;
+ s[21] = s8 >> 0;
+ s[22] = s8 >> 8;
+ s[23] = (s8 >> 16) | (s9 * ((uint64_t) 1 << 5));
+ s[24] = s9 >> 3;
+ s[25] = s9 >> 11;
+ s[26] = (s9 >> 19) | (s10 * ((uint64_t) 1 << 2));
+ s[27] = s10 >> 6;
+ s[28] = (s10 >> 14) | (s11 * ((uint64_t) 1 << 7));
+ s[29] = s11 >> 1;
+ s[30] = s11 >> 9;
+ s[31] = s11 >> 17;
+}
diff --git a/src/libstrongswan/plugins/curve25519/ref10/ref10.h b/src/libstrongswan/plugins/curve25519/ref10/ref10.h
new file mode 100644
index 000000000..b1d76dadb
--- /dev/null
+++ b/src/libstrongswan/plugins/curve25519/ref10/ref10.h
@@ -0,0 +1,93 @@
+/*
+ * Copyright (C) 2016 Andreas Steffen
+ * HSR Hochschule fuer Technik Rapperswil
+ *
+ * Based on the public domain libsodium adaptation by Frank Denis
+ * of the SUPERCOP ref10 implementation by Daniel J. Bernstein,
+ * Niels Duif, Peter Schwabe, Tanja Lange and Bo-Yin Yang.
+ */
+
+/**
+ * @defgroup curve25519_ref10 curve25519_ref10
+ * @{ @ingroup curve25519_p
+ */
+
+#ifndef REF10_H_
+#define REF10_H_
+
+#include <stddef.h>
+#include <stdint.h>
+
+typedef int32_t fe[10];
+
+/**
+ * fe means field element.
+ * Here the field is \\Z/(2^255-19).
+ * An element t, entries t[0]...t[9], represents the integer
+ * t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9].
+ * Bounds on each t[i] vary depending on context.
+ */
+
+/**
+ * ge means group element.
+ *
+ * Here the group is the set of pairs (x,y) of field elements (see fe.h)
+ * satisfying -x^2 + y^2 = 1 + d x^2y^2
+ * where d = -121665/121666.
+ *
+ * Representations:
+ * ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z
+ * ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
+ * ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
+ * ge_precomp (Duif): (y+x,y-x,2dxy)
+ */
+
+typedef struct {
+ fe X;
+ fe Y;
+ fe Z;
+} ge_p2;
+
+typedef struct {
+ fe X;
+ fe Y;
+ fe Z;
+ fe T;
+} ge_p3;
+
+typedef struct {
+ fe X;
+ fe Y;
+ fe Z;
+ fe T;
+} ge_p1p1;
+
+typedef struct {
+ fe yplusx;
+ fe yminusx;
+ fe xy2d;
+} ge_precomp;
+
+typedef struct {
+ fe YplusX;
+ fe YminusX;
+ fe Z;
+ fe T2d;
+} ge_cached;
+
+extern void ge_tobytes(uint8_t *, const ge_p2 *);
+extern void ge_p3_tobytes(uint8_t *, const ge_p3 *);
+extern int ge_frombytes_negate_vartime(ge_p3 *, const uint8_t *);
+extern void ge_scalarmult_base(ge_p3 *, const uint8_t *);
+extern void ge_double_scalarmult_vartime(ge_p2 *, const uint8_t *,
+ const ge_p3 *, const uint8_t *);
+
+/**
+ * The set of scalars is \\Z/l
+ * where l = 2^252 + 27742317777372353535851937790883648493.
+ */
+
+extern void sc_reduce(uint8_t *);
+extern void sc_muladd(uint8_t *, const uint8_t *, const uint8_t *, const uint8_t *);
+
+#endif /** REF10_H_ @}*/