diff options
Diffstat (limited to 'src/libstrongswan/plugins/curve25519')
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 @@ +# Makefile.in generated by automake 1.15 from Makefile.am. +# @configure_input@ + +# Copyright (C) 1994-2014 Free Software Foundation, Inc. + +# This Makefile.in is free software; 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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 } + } + }, + { + { + { -13657040, -13155431, -31283750, 11777098, 21447386, + 6519384, -2378284, -1627556, 10092783, -4764171 }, + { 27939166, 14210322, 4677035, 16277044, -22964462, + -12398139, -32508754, 12005538, -17810127, 12803510 }, + { 17228999, -15661624, -1233527, 300140, -1224870, + -11714777, 30364213, -9038194, 18016357, 4397660 } + }, + { + { -10958843, -7690207, 4776341, -14954238, 27850028, + -15602212, -26619106, 14544525, -17477504, 982639 }, + { 29253598, 15796703, -2863982, -9908884, 10057023, + 3163536, 7332899, -4120128, -21047696, 9934963 }, + { 5793303, 16271923, -24131614, -10116404, 29188560, + 1206517, -14747930, 4559895, -30123922, -10897950 } + }, + { + { -27643952, -11493006, 16282657, -11036493, 28414021, + -15012264, 24191034, 4541697, -13338309, 5500568 }, + { 12650548, -1497113, 9052871, 11355358, -17680037, + -8400164, -17430592, 12264343, 10874051, 13524335 }, + { 25556948, -3045990, 714651, 2510400, 23394682, + -10415330, 33119038, 5080568, -22528059, 5376628 } + }, + { + { -26088264, -4011052, -17013699, -3537628, -6726793, + 1920897, -22321305, -9447443, 4535768, 1569007 }, + { -2255422, 14606630, -21692440, -8039818, 28430649, + 8775819, -30494562, 3044290, 31848280, 12543772 }, + { -22028579, 2943893, -31857513, 6777306, 13784462, + -4292203, -27377195, -2062731, 7718482, 14474653 } + }, + { + { 2385315, 2454213, -22631320, 46603, -4437935, + -15680415, 656965, -7236665, 24316168, -5253567 }, + { 13741529, 10911568, -33233417, -8603737, -20177830, + -1033297, 33040651, -13424532, -20729456, 8321686 }, + { 21060490, -2212744, 15712757, -4336099, 1639040, + 10656336, 23845965, -11874838, -9984458, 608372 } + }, + { + { -13672732, -15087586, -10889693, -7557059, -6036909, + 11305547, 1123968, -6780577, 27229399, 23887 }, + { -23244140, -294205, -11744728, 14712571, -29465699, + -2029617, 12797024, -6440308, -1633405, 16678954 }, + { -29500620, 4770662, -16054387, 14001338, 7830047, + 9564805, -1508144, -4795045, -17169265, 4904953 } + }, + { + { 24059557, 14617003, 19037157, -15039908, 19766093, + -14906429, 5169211, 16191880, 2128236, -4326833 }, + { -16981152, 4124966, -8540610, -10653797, 30336522, + -14105247, -29806336, 916033, -6882542, -2986532 }, + { -22630907, 12419372, -7134229, -7473371, -16478904, + 16739175, 285431, 2763829, 15736322, 4143876 } + }, + { + { 2379352, 11839345, -4110402, -5988665, 11274298, + 794957, 212801, -14594663, 23527084, -16458268 }, + { 33431127, -11130478, -17838966, -15626900, 8909499, + 8376530, -32625340, 4087881, -15188911, -14416214 }, + { 1767683, 7197987, -13205226, -2022635, -13091350, + 448826, 5799055, 4357868, -4774191, -16323038 } + } + }, + { + { + { 6721966, 13833823, -23523388, -1551314, 26354293, + -11863321, 23365147, -3949732, 7390890, 2759800 }, + { 4409041, 2052381, 23373853, 10530217, 7676779, + -12885954, 21302353, -4264057, 1244380, -12919645 }, + { -4421239, 7169619, 4982368, -2957590, 30256825, + -2777540, 14086413, 9208236, 15886429, 16489664 } + }, + { + { 1996075, 10375649, 14346367, 13311202, -6874135, + -16438411, -13693198, 398369, -30606455, -712933 }, + { -25307465, 9795880, -2777414, 14878809, -33531835, + 14780363, 13348553, 12076947, -30836462, 5113182 }, + { -17770784, 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-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_ @}*/ |