libsec: add curve25519() from http://code.google.com/p/curve25519-donna/
this is a portable version of curve25519() by google.
This commit is contained in:
cinap_lenrek
parent
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commit
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3 changed files with 574 additions and 0 deletions
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@ -460,3 +460,6 @@ mpint* dh_finish(DHstate *dh, mpint *y);
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/* password-based key derivation function 2 (RFC 2898) */
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void pbkdf2_hmac_sha1(uchar *p, ulong plen, uchar *s, ulong slen, ulong rounds, uchar *d, ulong dlen);
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/* Curve25519 elliptic curve, public key function */
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void curve25519(uchar mypublic[32], uchar secret[32], uchar basepoint[32]);
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570
sys/src/libsec/port/curve25519.c
Normal file
570
sys/src/libsec/port/curve25519.c
Normal file
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@ -0,0 +1,570 @@
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/* Copyright 2008, Google Inc.
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions are
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* met:
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*
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* * Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* * Redistributions in binary form must reproduce the above
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* copyright notice, this list of conditions and the following disclaimer
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* in the documentation and/or other materials provided with the
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* distribution.
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* * Neither the name of Google Inc. nor the names of its
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* contributors may be used to endorse or promote products derived from
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* this software without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*
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* curve25519: Curve25519 elliptic curve, public key function
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*
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* http://code.google.com/p/curve25519-donna/
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*
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* Adam Langley <agl@imperialviolet.org>
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*
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* Derived from public domain C code by Daniel J. Bernstein <djb@cr.yp.to>
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*
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* More information about curve25519 can be found here
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* http://cr.yp.to/ecdh.html
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*
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* djb's sample implementation of curve25519 is written in a special assembly
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* language called qhasm and uses the floating point registers.
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*
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* This is, almost, a clean room reimplementation from the curve25519 paper. It
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* uses many of the tricks described therein. Only the crecip function is taken
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* from the sample implementation.
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*/
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#include <u.h>
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#include <libc.h>
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#include <libsec.h>
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typedef vlong felem;
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/* Sum two numbers: output += in */
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static void fsum(felem *output, felem *in) {
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unsigned i;
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for (i = 0; i < 10; i += 2) {
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output[0+i] = (output[0+i] + in[0+i]);
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output[1+i] = (output[1+i] + in[1+i]);
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}
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}
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/* Find the difference of two numbers: output = in - output
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* (note the order of the arguments!)
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*/
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static void fdifference(felem *output, felem *in) {
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unsigned i;
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for (i = 0; i < 10; ++i) {
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output[i] = (in[i] - output[i]);
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}
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}
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/* Multiply a number my a scalar: output = in * scalar */
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static void fscalar_product(felem *output, felem *in, felem scalar) {
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unsigned i;
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for (i = 0; i < 10; ++i) {
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output[i] = in[i] * scalar;
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}
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}
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/* Multiply two numbers: output = in2 * in
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*
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* output must be distinct to both inputs. The inputs are reduced coefficient
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* form, the output is not.
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*/
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static void fproduct(felem *output, felem *in2, felem *in) {
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output[0] = in2[0] * in[0];
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output[1] = in2[0] * in[1] +
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in2[1] * in[0];
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output[2] = 2 * in2[1] * in[1] +
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in2[0] * in[2] +
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in2[2] * in[0];
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output[3] = in2[1] * in[2] +
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in2[2] * in[1] +
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in2[0] * in[3] +
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in2[3] * in[0];
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output[4] = in2[2] * in[2] +
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2 * (in2[1] * in[3] +
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in2[3] * in[1]) +
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in2[0] * in[4] +
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in2[4] * in[0];
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output[5] = in2[2] * in[3] +
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in2[3] * in[2] +
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in2[1] * in[4] +
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in2[4] * in[1] +
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in2[0] * in[5] +
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in2[5] * in[0];
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output[6] = 2 * (in2[3] * in[3] +
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in2[1] * in[5] +
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in2[5] * in[1]) +
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in2[2] * in[4] +
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in2[4] * in[2] +
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in2[0] * in[6] +
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in2[6] * in[0];
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output[7] = in2[3] * in[4] +
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in2[4] * in[3] +
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in2[2] * in[5] +
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in2[5] * in[2] +
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in2[1] * in[6] +
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in2[6] * in[1] +
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in2[0] * in[7] +
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in2[7] * in[0];
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output[8] = in2[4] * in[4] +
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2 * (in2[3] * in[5] +
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in2[5] * in[3] +
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in2[1] * in[7] +
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in2[7] * in[1]) +
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in2[2] * in[6] +
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in2[6] * in[2] +
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in2[0] * in[8] +
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in2[8] * in[0];
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output[9] = in2[4] * in[5] +
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in2[5] * in[4] +
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in2[3] * in[6] +
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in2[6] * in[3] +
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in2[2] * in[7] +
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in2[7] * in[2] +
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in2[1] * in[8] +
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in2[8] * in[1] +
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in2[0] * in[9] +
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in2[9] * in[0];
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output[10] = 2 * (in2[5] * in[5] +
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in2[3] * in[7] +
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in2[7] * in[3] +
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in2[1] * in[9] +
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in2[9] * in[1]) +
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in2[4] * in[6] +
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in2[6] * in[4] +
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in2[2] * in[8] +
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in2[8] * in[2];
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output[11] = in2[5] * in[6] +
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in2[6] * in[5] +
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in2[4] * in[7] +
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in2[7] * in[4] +
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in2[3] * in[8] +
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in2[8] * in[3] +
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in2[2] * in[9] +
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in2[9] * in[2];
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output[12] = in2[6] * in[6] +
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2 * (in2[5] * in[7] +
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in2[7] * in[5] +
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in2[3] * in[9] +
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in2[9] * in[3]) +
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in2[4] * in[8] +
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in2[8] * in[4];
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output[13] = in2[6] * in[7] +
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in2[7] * in[6] +
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in2[5] * in[8] +
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in2[8] * in[5] +
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in2[4] * in[9] +
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in2[9] * in[4];
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output[14] = 2 * (in2[7] * in[7] +
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in2[5] * in[9] +
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in2[9] * in[5]) +
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in2[6] * in[8] +
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in2[8] * in[6];
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output[15] = in2[7] * in[8] +
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in2[8] * in[7] +
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in2[6] * in[9] +
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in2[9] * in[6];
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output[16] = in2[8] * in[8] +
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2 * (in2[7] * in[9] +
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in2[9] * in[7]);
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output[17] = in2[8] * in[9] +
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in2[9] * in[8];
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output[18] = 2 * in2[9] * in[9];
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}
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/* Reduce a long form to a short form by taking the input mod 2^255 - 19. */
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static void freduce_degree(felem *output) {
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output[8] += 19 * output[18];
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output[7] += 19 * output[17];
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output[6] += 19 * output[16];
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output[5] += 19 * output[15];
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output[4] += 19 * output[14];
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output[3] += 19 * output[13];
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output[2] += 19 * output[12];
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output[1] += 19 * output[11];
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output[0] += 19 * output[10];
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}
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/* Reduce all coefficients of the short form input to be -2**25 <= x <= 2**25
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*/
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static void freduce_coefficients(felem *output) {
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unsigned i;
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do {
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output[10] = 0;
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for (i = 0; i < 10; i += 2) {
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felem over = output[i] / 0x2000000l;
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felem over2 = (over + ((over >> 63) * 2) + 1) / 2;
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output[i+1] += over2;
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output[i] -= over2 * 0x4000000l;
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over = output[i+1] / 0x2000000;
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output[i+2] += over;
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output[i+1] -= over * 0x2000000;
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}
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output[0] += 19 * output[10];
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} while (output[10]);
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}
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/* A helpful wrapper around fproduct: output = in * in2.
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*
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* output must be distinct to both inputs. The output is reduced degree and
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* reduced coefficient.
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*/
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static void
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fmul(felem *output, felem *in, felem *in2) {
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felem t[19];
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fproduct(t, in, in2);
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freduce_degree(t);
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freduce_coefficients(t);
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memcpy(output, t, sizeof(felem) * 10);
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}
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static void fsquare_inner(felem *output, felem *in) {
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output[0] = in[0] * in[0];
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output[1] = 2 * in[0] * in[1];
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output[2] = 2 * (in[1] * in[1] +
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in[0] * in[2]);
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output[3] = 2 * (in[1] * in[2] +
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in[0] * in[3]);
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output[4] = in[2] * in[2] +
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4 * in[1] * in[3] +
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2 * in[0] * in[4];
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output[5] = 2 * (in[2] * in[3] +
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in[1] * in[4] +
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in[0] * in[5]);
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output[6] = 2 * (in[3] * in[3] +
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in[2] * in[4] +
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in[0] * in[6] +
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2 * in[1] * in[5]);
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output[7] = 2 * (in[3] * in[4] +
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in[2] * in[5] +
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in[1] * in[6] +
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in[0] * in[7]);
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output[8] = in[4] * in[4] +
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2 * (in[2] * in[6] +
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in[0] * in[8] +
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2 * (in[1] * in[7] +
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in[3] * in[5]));
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output[9] = 2 * (in[4] * in[5] +
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in[3] * in[6] +
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in[2] * in[7] +
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in[1] * in[8] +
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in[0] * in[9]);
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output[10] = 2 * (in[5] * in[5] +
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in[4] * in[6] +
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in[2] * in[8] +
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2 * (in[3] * in[7] +
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in[1] * in[9]));
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output[11] = 2 * (in[5] * in[6] +
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in[4] * in[7] +
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in[3] * in[8] +
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in[2] * in[9]);
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output[12] = in[6] * in[6] +
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2 * (in[4] * in[8] +
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2 * (in[5] * in[7] +
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in[3] * in[9]));
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output[13] = 2 * (in[6] * in[7] +
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in[5] * in[8] +
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in[4] * in[9]);
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output[14] = 2 * (in[7] * in[7] +
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in[6] * in[8] +
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2 * in[5] * in[9]);
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output[15] = 2 * (in[7] * in[8] +
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in[6] * in[9]);
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output[16] = in[8] * in[8] +
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4 * in[7] * in[9];
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output[17] = 2 * in[8] * in[9];
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output[18] = 2 * in[9] * in[9];
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}
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static void
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fsquare(felem *output, felem *in) {
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felem t[19];
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fsquare_inner(t, in);
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freduce_degree(t);
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freduce_coefficients(t);
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memcpy(output, t, sizeof(felem) * 10);
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}
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/* Take a little-endian, 32-byte number and expand it into polynomial form */
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static void
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fexpand(felem *output, uchar *input) {
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#define F(n,start,shift,mask) \
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output[n] = ((((felem) input[start + 0]) | \
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((felem) input[start + 1]) << 8 | \
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((felem) input[start + 2]) << 16 | \
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((felem) input[start + 3]) << 24) >> shift) & mask;
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F(0, 0, 0, 0x3ffffff);
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F(1, 3, 2, 0x1ffffff);
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F(2, 6, 3, 0x3ffffff);
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F(3, 9, 5, 0x1ffffff);
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F(4, 12, 6, 0x3ffffff);
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F(5, 16, 0, 0x1ffffff);
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F(6, 19, 1, 0x3ffffff);
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F(7, 22, 3, 0x1ffffff);
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F(8, 25, 4, 0x3ffffff);
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F(9, 28, 6, 0x1ffffff);
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#undef F
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}
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/* Take a fully reduced polynomial form number and contract it into a
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* little-endian, 32-byte array
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*/
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static void
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fcontract(uchar *output, felem *input) {
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int i;
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do {
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for (i = 0; i < 9; ++i) {
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if ((i & 1) == 1) {
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while (input[i] < 0) {
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input[i] += 0x2000000;
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input[i + 1]--;
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}
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} else {
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while (input[i] < 0) {
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input[i] += 0x4000000;
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input[i + 1]--;
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}
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}
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}
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while (input[9] < 0) {
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input[9] += 0x2000000;
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input[0] -= 19;
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}
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} while (input[0] < 0);
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input[1] <<= 2;
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input[2] <<= 3;
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input[3] <<= 5;
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input[4] <<= 6;
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input[6] <<= 1;
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input[7] <<= 3;
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input[8] <<= 4;
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input[9] <<= 6;
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#define F(i, s) \
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output[s+0] |= input[i] & 0xff; \
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output[s+1] = (input[i] >> 8) & 0xff; \
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output[s+2] = (input[i] >> 16) & 0xff; \
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output[s+3] = (input[i] >> 24) & 0xff;
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output[0] = 0;
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output[16] = 0;
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F(0,0);
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F(1,3);
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F(2,6);
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F(3,9);
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F(4,12);
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F(5,16);
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F(6,19);
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F(7,22);
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F(8,25);
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F(9,28);
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#undef F
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}
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/* Input: Q, Q', Q-Q'
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* Output: 2Q, Q+Q'
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*
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* x2 z3: long form
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* x3 z3: long form
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* x z: short form, destroyed
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* xprime zprime: short form, destroyed
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* qmqp: short form, preserved
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*/
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static void fmonty(felem *x2, felem *z2, /* output 2Q */
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felem *x3, felem *z3, /* output Q + Q' */
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felem *x, felem *z, /* input Q */
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felem *xprime, felem *zprime, /* input Q' */
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felem *qmqp /* input Q - Q' */) {
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felem origx[10], origxprime[10], zzz[19], xx[19], zz[19], xxprime[19],
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zzprime[19], zzzprime[19], xxxprime[19];
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memcpy(origx, x, 10 * sizeof(felem));
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fsum(x, z);
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fdifference(z, origx); // does x - z
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memcpy(origxprime, xprime, sizeof(felem) * 10);
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fsum(xprime, zprime);
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fdifference(zprime, origxprime);
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fproduct(xxprime, xprime, z);
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fproduct(zzprime, x, zprime);
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freduce_degree(xxprime);
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freduce_coefficients(xxprime);
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freduce_degree(zzprime);
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freduce_coefficients(zzprime);
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memcpy(origxprime, xxprime, sizeof(felem) * 10);
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fsum(xxprime, zzprime);
|
||||
fdifference(zzprime, origxprime);
|
||||
fsquare(xxxprime, xxprime);
|
||||
fsquare(zzzprime, zzprime);
|
||||
fproduct(zzprime, zzzprime, qmqp);
|
||||
freduce_degree(zzprime);
|
||||
freduce_coefficients(zzprime);
|
||||
memcpy(x3, xxxprime, sizeof(felem) * 10);
|
||||
memcpy(z3, zzprime, sizeof(felem) * 10);
|
||||
|
||||
fsquare(xx, x);
|
||||
fsquare(zz, z);
|
||||
fproduct(x2, xx, zz);
|
||||
freduce_degree(x2);
|
||||
freduce_coefficients(x2);
|
||||
fdifference(zz, xx); // does zz = xx - zz
|
||||
memset(zzz + 10, 0, sizeof(felem) * 9);
|
||||
fscalar_product(zzz, zz, 121665);
|
||||
freduce_degree(zzz);
|
||||
freduce_coefficients(zzz);
|
||||
fsum(zzz, xx);
|
||||
fproduct(z2, zz, zzz);
|
||||
freduce_degree(z2);
|
||||
freduce_coefficients(z2);
|
||||
}
|
||||
|
||||
/* Calculates nQ where Q is the x-coordinate of a point on the curve
|
||||
*
|
||||
* resultx/resultz: the x coordinate of the resulting curve point (short form)
|
||||
* n: a little endian, 32-byte number
|
||||
* q: a point of the curve (short form)
|
||||
*/
|
||||
static void
|
||||
cmult(felem *resultx, felem *resultz, uchar *n, felem *q) {
|
||||
felem a[19] = {0}, b[19] = {1}, c[19] = {1}, d[19] = {0};
|
||||
felem *nqpqx = a, *nqpqz = b, *nqx = c, *nqz = d, *t;
|
||||
felem e[19] = {0}, f[19] = {1}, g[19] = {0}, h[19] = {1};
|
||||
felem *nqpqx2 = e, *nqpqz2 = f, *nqx2 = g, *nqz2 = h;
|
||||
|
||||
unsigned i, j;
|
||||
|
||||
memcpy(nqpqx, q, sizeof(felem) * 10);
|
||||
|
||||
for (i = 0; i < 32; ++i) {
|
||||
uchar byte = n[31 - i];
|
||||
for (j = 0; j < 8; ++j) {
|
||||
if (byte & 0x80) {
|
||||
fmonty(nqpqx2, nqpqz2,
|
||||
nqx2, nqz2,
|
||||
nqpqx, nqpqz,
|
||||
nqx, nqz,
|
||||
q);
|
||||
} else {
|
||||
fmonty(nqx2, nqz2,
|
||||
nqpqx2, nqpqz2,
|
||||
nqx, nqz,
|
||||
nqpqx, nqpqz,
|
||||
q);
|
||||
}
|
||||
|
||||
t = nqx;
|
||||
nqx = nqx2;
|
||||
nqx2 = t;
|
||||
t = nqz;
|
||||
nqz = nqz2;
|
||||
nqz2 = t;
|
||||
t = nqpqx;
|
||||
nqpqx = nqpqx2;
|
||||
nqpqx2 = t;
|
||||
t = nqpqz;
|
||||
nqpqz = nqpqz2;
|
||||
nqpqz2 = t;
|
||||
|
||||
byte <<= 1;
|
||||
}
|
||||
}
|
||||
|
||||
memcpy(resultx, nqx, sizeof(felem) * 10);
|
||||
memcpy(resultz, nqz, sizeof(felem) * 10);
|
||||
}
|
||||
|
||||
// -----------------------------------------------------------------------------
|
||||
// Shamelessly copied from djb's code
|
||||
// -----------------------------------------------------------------------------
|
||||
static void
|
||||
crecip(felem *out, felem *z) {
|
||||
felem z2[10];
|
||||
felem z9[10];
|
||||
felem z11[10];
|
||||
felem z2_5_0[10];
|
||||
felem z2_10_0[10];
|
||||
felem z2_20_0[10];
|
||||
felem z2_50_0[10];
|
||||
felem z2_100_0[10];
|
||||
felem t0[10];
|
||||
felem t1[10];
|
||||
int i;
|
||||
|
||||
/* 2 */ fsquare(z2,z);
|
||||
/* 4 */ fsquare(t1,z2);
|
||||
/* 8 */ fsquare(t0,t1);
|
||||
/* 9 */ fmul(z9,t0,z);
|
||||
/* 11 */ fmul(z11,z9,z2);
|
||||
/* 22 */ fsquare(t0,z11);
|
||||
/* 2^5 - 2^0 = 31 */ fmul(z2_5_0,t0,z9);
|
||||
|
||||
/* 2^6 - 2^1 */ fsquare(t0,z2_5_0);
|
||||
/* 2^7 - 2^2 */ fsquare(t1,t0);
|
||||
/* 2^8 - 2^3 */ fsquare(t0,t1);
|
||||
/* 2^9 - 2^4 */ fsquare(t1,t0);
|
||||
/* 2^10 - 2^5 */ fsquare(t0,t1);
|
||||
/* 2^10 - 2^0 */ fmul(z2_10_0,t0,z2_5_0);
|
||||
|
||||
/* 2^11 - 2^1 */ fsquare(t0,z2_10_0);
|
||||
/* 2^12 - 2^2 */ fsquare(t1,t0);
|
||||
/* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
||||
/* 2^20 - 2^0 */ fmul(z2_20_0,t1,z2_10_0);
|
||||
|
||||
/* 2^21 - 2^1 */ fsquare(t0,z2_20_0);
|
||||
/* 2^22 - 2^2 */ fsquare(t1,t0);
|
||||
/* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
||||
/* 2^40 - 2^0 */ fmul(t0,t1,z2_20_0);
|
||||
|
||||
/* 2^41 - 2^1 */ fsquare(t1,t0);
|
||||
/* 2^42 - 2^2 */ fsquare(t0,t1);
|
||||
/* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { fsquare(t1,t0); fsquare(t0,t1); }
|
||||
/* 2^50 - 2^0 */ fmul(z2_50_0,t0,z2_10_0);
|
||||
|
||||
/* 2^51 - 2^1 */ fsquare(t0,z2_50_0);
|
||||
/* 2^52 - 2^2 */ fsquare(t1,t0);
|
||||
/* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
||||
/* 2^100 - 2^0 */ fmul(z2_100_0,t1,z2_50_0);
|
||||
|
||||
/* 2^101 - 2^1 */ fsquare(t1,z2_100_0);
|
||||
/* 2^102 - 2^2 */ fsquare(t0,t1);
|
||||
/* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { fsquare(t1,t0); fsquare(t0,t1); }
|
||||
/* 2^200 - 2^0 */ fmul(t1,t0,z2_100_0);
|
||||
|
||||
/* 2^201 - 2^1 */ fsquare(t0,t1);
|
||||
/* 2^202 - 2^2 */ fsquare(t1,t0);
|
||||
/* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
||||
/* 2^250 - 2^0 */ fmul(t0,t1,z2_50_0);
|
||||
|
||||
/* 2^251 - 2^1 */ fsquare(t1,t0);
|
||||
/* 2^252 - 2^2 */ fsquare(t0,t1);
|
||||
/* 2^253 - 2^3 */ fsquare(t1,t0);
|
||||
/* 2^254 - 2^4 */ fsquare(t0,t1);
|
||||
/* 2^255 - 2^5 */ fsquare(t1,t0);
|
||||
/* 2^255 - 21 */ fmul(out,t1,z11);
|
||||
}
|
||||
|
||||
void
|
||||
curve25519(uchar mypublic[32], uchar secret[32], uchar basepoint[32]) {
|
||||
felem bp[10], x[10], z[10], zmone[10];
|
||||
fexpand(bp, basepoint);
|
||||
cmult(x, z, secret, bp);
|
||||
crecip(zmone, z);
|
||||
fmul(z, x, zmone);
|
||||
fcontract(mypublic, z);
|
||||
}
|
||||
|
|
@ -22,6 +22,7 @@ CFILES = des.c desmodes.c desECB.c desCBC.c des3ECB.c des3CBC.c\
|
|||
ripemd.c\
|
||||
dh.c\
|
||||
pbkdf2.c\
|
||||
curve25519.c\
|
||||
|
||||
ALLOFILES=${CFILES:%.c=%.$O}
|
||||
|
||||
|
|
|
|||
Loading…
Reference in a new issue