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authorMatthias Schiffer <mschiffer@universe-factory.net>2012-03-14 04:15:02 +0100
committerMatthias Schiffer <mschiffer@universe-factory.net>2012-03-14 04:15:02 +0100
commit6c37af4a76a58f1b879d0c6df465cf01ae5f9e5d (patch)
tree637e2da55bf2c6714d9b28ae2aefa45a7fd81a24 /src/ec25519_secret.c
parentfb00f40057ced5aa2a1a0b56d7f7a34dee5f5d68 (diff)
downloadlibuecc-6c37af4a76a58f1b879d0c6df465cf01ae5f9e5d.tar
libuecc-6c37af4a76a58f1b879d0c6df465cf01ae5f9e5d.zip
More renames, added secret key arithmetic
Diffstat (limited to 'src/ec25519_secret.c')
-rw-r--r--src/ec25519_secret.c181
1 files changed, 181 insertions, 0 deletions
diff --git a/src/ec25519_secret.c b/src/ec25519_secret.c
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+/*
+ Copyright (c) 2012, Matthias Schiffer <mschiffer@universe-factory.net>
+ Partly based on public domain code by Matthew Dempsky and D. J. Bernstein.
+ All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without
+ modification, are permitted provided that the following conditions are met:
+
+ 1. Redistributions of source code must retain the above copyright notice,
+ this list of conditions and the following disclaimer.
+ 2. Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+ AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
+ FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+ SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+ CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+ OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+ OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/*
+ Simple finite field operations on the prime field F_p for
+ p = 2^252 + 27742317777372353535851937790883648493, which
+ is the order of the base point used for ec25519
+*/
+
+#include <libuecc/ecc.h>
+
+
+#define IS_NEGATIVE(n) ((int)((((unsigned)n) >> (8*sizeof(n)-1))&1))
+
+
+static const unsigned char q[32] = {
+ 0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58,
+ 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10
+};
+
+
+static void select(unsigned char out[32], const unsigned char r[32], const unsigned char s[32], unsigned int b) {
+ unsigned int j;
+ unsigned int t;
+ unsigned int bminus1;
+
+ bminus1 = b - 1;
+ for (j = 0;j < 32;++j) {
+ t = bminus1 & (r[j] ^ s[j]);
+ out[j] = s[j] ^ t;
+ }
+}
+
+void ecc_25519_add_secret(ecc_secret_key_256 *out, const ecc_secret_key_256 *in1, const ecc_secret_key_256 *in2) {
+ unsigned int j;
+ int u1, u2, u3;
+ unsigned char out1[32], out2[32], out3[32];
+
+ u1 = u2 = u3 = 0;
+ for (j = 0; j < 31; ++j) {
+ u1 += in1->s[j] + in2->s[j];
+ u2 += in1->s[j] + in2->s[j] - 8*q[j];
+ u3 += in1->s[j] + in2->s[j] - 16*q[j];
+
+ out1[j] = u1; out2[j] = u2; out3[j] = u3;
+ u1 = (u1+IS_NEGATIVE(u1))/256 - IS_NEGATIVE(u1);
+ u2 = (u2+IS_NEGATIVE(u2))/256 - IS_NEGATIVE(u2);
+ u3 = (u3+IS_NEGATIVE(u3))/256 - IS_NEGATIVE(u3);
+ }
+ u1 += in1->s[31] + in2->s[31];
+ u2 += in1->s[31] + in2->s[31] - 8*q[31];
+ u3 += in1->s[31] + in2->s[31] - 16*q[31];
+ out1[31] = u1; out2[31] = u2; out3[31] = u3;
+
+ select(out->s, out1, out2, (u1 >> 8) & 1);
+ select(out->s, out->s, out3, ((u1 >> 8) & (u2 >> 8)) & 1);
+}
+
+void ecc_25519_sub_secret(ecc_secret_key_256 *out, const ecc_secret_key_256 *in1, const ecc_secret_key_256 *in2) {
+ unsigned int j;
+ int u1, u2, u3;
+ unsigned char out1[32], out2[32], out3[32];
+
+ u1 = u2 = u3 = 0;
+ for (j = 0; j < 31; ++j) {
+ u1 += in1->s[j] - in2->s[j] + 16*q[j];
+ u2 += in1->s[j] - in2->s[j] + 8*q[j];
+ u3 += in1->s[j] - in2->s[j];
+
+ out1[j] = u1; out2[j] = u2; out3[j] = u3;
+ u1 = (u1+IS_NEGATIVE(u1))/256 - IS_NEGATIVE(u1);
+ u2 = (u2+IS_NEGATIVE(u2))/256 - IS_NEGATIVE(u2);
+ u3 = (u3+IS_NEGATIVE(u3))/256 - IS_NEGATIVE(u3);
+ }
+ u1 += in1->s[31] - in2->s[31] + 16*q[31];
+ u2 += in1->s[31] - in2->s[31] + 8*q[31];
+ u3 += in1->s[31] - in2->s[31];
+ out1[31] = u1; out2[31] = u2; out3[31] = u3;
+
+ select(out->s, out1, out2, (u1 >> 8) & 1);
+ select(out->s, out->s, out3, ((u1 >> 8) & (u2 >> 8)) & 1);
+}
+
+static void reduce(unsigned char a[32]) {
+ unsigned int j;
+ int nq = a[31] >> 4;
+ int u1, u2;
+ unsigned char out1[32], out2[32];
+
+ u1 = u2 = 0;
+ for (j = 0; j < 31; ++j) {
+ u1 += a[j] - nq*q[j];
+ u2 += a[j] - (nq-1)*q[j];
+
+ out1[j] = u1; out2[j] = u2;
+ u1 = (u1+IS_NEGATIVE(u1))/256 - IS_NEGATIVE(u1);
+ u2 = (u2+IS_NEGATIVE(u2))/256 - IS_NEGATIVE(u2);
+ }
+ u1 += a[31] - nq*q[31];
+ u2 += a[31] - (nq-1)*q[31];
+ out1[31] = u1; out2[31] = u2;
+
+ select(a, out1, out2, IS_NEGATIVE(u1));
+}
+
+/* Montgomery modular multiplication algorithm */
+static void montgomery(unsigned char out[32], const unsigned char a[32], const unsigned char b[32]) {
+ unsigned int a_i;
+ unsigned int i, j;
+ unsigned int r0;
+ unsigned int u;
+
+ for (i = 0; i < 32; i++)
+ out[i] = 0;
+
+ for (i = 0; i < 256; i++) {
+ a_i = a[i / 8] >> (i & 7);
+ a_i &= 1;
+
+ u = out[0] + a_i*b[0];
+ r0 = u & 1;
+ u += r0 * q[0];
+
+ for (j = 1; j < 32; ++j) {
+ u += (out[j] + a_i*b[j] + r0*q[j]) << 8;
+ out[j-1] = (u >> 1) & 255;
+ u >>= 8;
+ }
+
+ out[31] = u >> 1;
+ }
+}
+
+
+void ecc_25519_mult_secret(ecc_secret_key_256 *out, const ecc_secret_key_256 *in1, const ecc_secret_key_256 *in2) {
+ /* 2^512 mod p */
+ static const unsigned char C[32] = {
+ 0x01, 0x0f, 0x9c, 0x44, 0xe3, 0x11, 0x06, 0xa4,
+ 0x47, 0x93, 0x85, 0x68, 0xa7, 0x1b, 0x0e, 0xd0,
+ 0x65, 0xbe, 0xf5, 0x17, 0xd2, 0x73, 0xec, 0xce,
+ 0x3d, 0x9a, 0x30, 0x7c, 0x1b, 0x41, 0x99, 0x03
+ };
+
+ unsigned char B[32];
+ unsigned char R[32];
+ unsigned int i;
+
+ for (i = 0; i < 32; i++)
+ B[i] = in2->s[i];
+
+ reduce(B);
+
+ montgomery(R, in1->s, B);
+ montgomery(out->s, R, C);
+}
+