From c38a8aa699999f0e28e823ee4220015846ec210f Mon Sep 17 00:00:00 2001 From: Moxie Marlinspike Date: Sun, 10 Nov 2013 04:15:29 -0800 Subject: [PATCH] Migrate to Curve25519. 1) Generate a Curve25519 identity key. 2) Use Curve25519 ephemerals and identities for v2 3DHE agreements. 3) Initiate v2 key exchange messages. 4) Accept v1 key exchange messages. 5) TOFU Curve25519 identities. --- .gitignore | 2 + library/build.gradle | 3 +- library/jni/Android.mk | 17 + library/jni/curve25519-donna-jni.c | 70 ++ library/jni/curve25519-donna.c | 734 ++++++++++++++++++ library/jni/curve25519-donna.h | 6 + library/libs/armeabi.jar | Bin 0 -> 10214 bytes library/libs/libphonenumber-5.3.jar | Bin 186085 -> 0 bytes library/libs/protobuf-java-2.4.1.jar | Bin 450501 -> 0 bytes library/libs/sc-light-jdk15on-1.47.0.2.jar | Bin 1482715 -> 0 bytes library/libs/thoughtcrimegson-2.1.jar | Bin 188650 -> 0 bytes .../textsecure/crypto/IdentityKey.java | 54 +- .../textsecure/crypto/IdentityKeyPair.java | 8 +- .../textsecure/crypto/KeyPair.java | 41 +- .../textsecure/crypto/KeyUtil.java | 104 +-- .../textsecure/crypto/MasterCipher.java | 35 +- .../textsecure/crypto/MessageCipher.java | 19 +- .../textsecure/crypto/PreKeyPair.java | 47 +- .../textsecure/crypto/PreKeyPublic.java | 36 +- .../textsecure/crypto/PreKeyUtil.java | 25 +- .../textsecure/crypto/PublicKey.java | 42 +- .../textsecure/crypto/SessionCipher.java | 78 +- .../crypto/SharedSecretCalculator.java | 76 +- .../textsecure/crypto/ecc/Curve.java | 85 ++ .../textsecure/crypto/ecc/Curve25519.java | 75 ++ .../textsecure/crypto/ecc/CurveP256.java | 122 +++ .../crypto/ecc/DjbECPrivateKey.java | 41 + .../textsecure/crypto/ecc/DjbECPublicKey.java | 66 ++ .../textsecure/crypto/ecc/ECKeyPair.java | 38 + .../textsecure/crypto/ecc/ECPrivateKey.java | 23 + .../textsecure/crypto/ecc/ECPublicKey.java | 27 + .../crypto/ecc/NistECPrivateKey.java | 43 + .../crypto/ecc/NistECPublicKey.java | 63 ++ .../textsecure/crypto/kdf/DerivedSecrets.java | 17 + .../textsecure/crypto/kdf/HKDF.java | 19 +- .../textsecure/crypto/kdf/KDF.java | 48 +- .../textsecure/crypto/kdf/NKDF.java | 22 +- .../crypto/protocol/CiphertextMessage.java | 5 +- .../crypto/protocol/PreKeyBundleMessage.java | 4 +- .../textsecure/push/PushServiceSocket.java | 5 +- .../textsecure/storage/LocalKeyRecord.java | 8 +- .../securesms/DatabaseUpgradeActivity.java | 38 +- .../securesms/VerifyIdentityActivity.java | 31 +- .../securesms/ViewLocalIdentityActivity.java | 8 +- .../crypto/AsymmetricMasterCipher.java | 93 +-- .../crypto/AsymmetricMasterSecret.java | 46 +- .../securesms/crypto/DecryptingQueue.java | 9 +- .../securesms/crypto/IdentityKeyUtil.java | 150 ++-- .../crypto/KeyExchangeInitiator.java | 6 +- .../crypto/KeyExchangeProcessor.java | 11 +- .../securesms/crypto/MasterSecretUtil.java | 79 +- .../crypto/protocol/KeyExchangeMessage.java | 26 +- .../securesms/database/IdentityDatabase.java | 14 +- .../service/RegistrationService.java | 4 +- .../securesms/transport/MmsTransport.java | 21 +- .../securesms/transport/PushTransport.java | 24 +- .../securesms/transport/SmsTransport.java | 27 +- 57 files changed, 2197 insertions(+), 498 deletions(-) create mode 100644 library/jni/Android.mk create mode 100644 library/jni/curve25519-donna-jni.c create mode 100644 library/jni/curve25519-donna.c create mode 100644 library/jni/curve25519-donna.h create mode 100644 library/libs/armeabi.jar delete mode 100644 library/libs/libphonenumber-5.3.jar delete mode 100644 library/libs/protobuf-java-2.4.1.jar delete mode 100644 library/libs/sc-light-jdk15on-1.47.0.2.jar delete mode 100644 library/libs/thoughtcrimegson-2.1.jar create mode 100644 library/src/org/whispersystems/textsecure/crypto/ecc/Curve.java create mode 100644 library/src/org/whispersystems/textsecure/crypto/ecc/Curve25519.java create mode 100644 library/src/org/whispersystems/textsecure/crypto/ecc/CurveP256.java create mode 100644 library/src/org/whispersystems/textsecure/crypto/ecc/DjbECPrivateKey.java create mode 100644 library/src/org/whispersystems/textsecure/crypto/ecc/DjbECPublicKey.java create mode 100644 library/src/org/whispersystems/textsecure/crypto/ecc/ECKeyPair.java create mode 100644 library/src/org/whispersystems/textsecure/crypto/ecc/ECPrivateKey.java create mode 100644 library/src/org/whispersystems/textsecure/crypto/ecc/ECPublicKey.java create mode 100644 library/src/org/whispersystems/textsecure/crypto/ecc/NistECPrivateKey.java create mode 100644 library/src/org/whispersystems/textsecure/crypto/ecc/NistECPublicKey.java diff --git a/.gitignore b/.gitignore index a3758d8db..5c22dd338 100644 --- a/.gitignore +++ b/.gitignore @@ -20,3 +20,5 @@ signing.properties gradle gradlew gradlew.bat +library/lib/ +library/obj/ diff --git a/library/build.gradle b/library/build.gradle index 46facf9be..cd7eab85f 100644 --- a/library/build.gradle +++ b/library/build.gradle @@ -22,7 +22,8 @@ dependencies { compile 'com.google.protobuf:protobuf-java:2.4.1' compile 'com.madgag:sc-light-jdk15on:1.47.0.2' compile 'com.googlecode.libphonenumber:libphonenumber:5.3' - compile 'org.whispersystems:gson:2.1' + compile 'org.whispersystems:gson:2.2.4' + compile fileTree(dir: 'libs', include: 'armeabi.jar') } android { diff --git a/library/jni/Android.mk b/library/jni/Android.mk new file mode 100644 index 000000000..20211e82e --- /dev/null +++ b/library/jni/Android.mk @@ -0,0 +1,17 @@ +LOCAL_PATH:= $(call my-dir) + +include $(CLEAR_VARS) + +LOCAL_MODULE := libcurve25519-donna +LOCAL_SRC_FILES := curve25519-donna.c + +include $(BUILD_STATIC_LIBRARY) + +include $(CLEAR_VARS) + +LOCAL_MODULE := libcurve25519 +LOCAL_SRC_FILES := curve25519-donna-jni.c + +LOCAL_STATIC_LIBRARIES := libcurve25519-donna + +include $(BUILD_SHARED_LIBRARY) \ No newline at end of file diff --git a/library/jni/curve25519-donna-jni.c b/library/jni/curve25519-donna-jni.c new file mode 100644 index 000000000..bcda8a4a5 --- /dev/null +++ b/library/jni/curve25519-donna-jni.c @@ -0,0 +1,70 @@ +/** + * Copyright (C) 2013 Open Whisper Systems + * + * 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 3 of the License, or + * (at your option) any later version. + * + * 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. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#include +#include + +#include +#include "curve25519-donna.h" + +JNIEXPORT jbyteArray JNICALL Java_org_whispersystems_textsecure_crypto_ecc_Curve25519_generatePrivateKey + (JNIEnv *env, jclass clazz, jbyteArray random) +{ + uint8_t* privateKey = (uint8_t*)(*env)->GetByteArrayElements(env, random, 0); + + privateKey[0] &= 248; + privateKey[31] &= 127; + privateKey[31] |= 64; + + (*env)->ReleaseByteArrayElements(env, random, privateKey, 0); + + return random; +} + +JNIEXPORT jbyteArray JNICALL Java_org_whispersystems_textsecure_crypto_ecc_Curve25519_generatePublicKey + (JNIEnv *env, jclass clazz, jbyteArray privateKey) +{ + static const uint8_t basepoint[32] = {9}; + + jbyteArray publicKey = (*env)->NewByteArray(env, 32); + uint8_t* publicKeyBytes = (uint8_t*)(*env)->GetByteArrayElements(env, publicKey, 0); + uint8_t* privateKeyBytes = (uint8_t*)(*env)->GetByteArrayElements(env, privateKey, 0); + + curve25519_donna(publicKeyBytes, privateKeyBytes, basepoint); + + (*env)->ReleaseByteArrayElements(env, publicKey, publicKeyBytes, 0); + (*env)->ReleaseByteArrayElements(env, privateKey, privateKeyBytes, 0); + + return publicKey; +} + +JNIEXPORT jbyteArray JNICALL Java_org_whispersystems_textsecure_crypto_ecc_Curve25519_calculateAgreement + (JNIEnv *env, jclass clazz, jbyteArray privateKey, jbyteArray publicKey) +{ + jbyteArray sharedKey = (*env)->NewByteArray(env, 32); + uint8_t* sharedKeyBytes = (uint8_t*)(*env)->GetByteArrayElements(env, sharedKey, 0); + uint8_t* privateKeyBytes = (uint8_t*)(*env)->GetByteArrayElements(env, privateKey, 0); + uint8_t* publicKeyBytes = (uint8_t*)(*env)->GetByteArrayElements(env, publicKey, 0); + + curve25519_donna(sharedKeyBytes, privateKeyBytes, publicKeyBytes); + + (*env)->ReleaseByteArrayElements(env, sharedKey, sharedKeyBytes, 0); + (*env)->ReleaseByteArrayElements(env, publicKey, publicKeyBytes, 0); + (*env)->ReleaseByteArrayElements(env, privateKey, privateKeyBytes, 0); + + return sharedKey; +} diff --git a/library/jni/curve25519-donna.c b/library/jni/curve25519-donna.c new file mode 100644 index 000000000..bb1262e5e --- /dev/null +++ b/library/jni/curve25519-donna.c @@ -0,0 +1,734 @@ +/* Copyright 2008, Google Inc. + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions are + * met: + * + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * 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. + * * Neither the name of Google Inc. nor the names of its + * contributors may be used to endorse or promote products derived from + * this software without specific prior written permission. + * + * 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 + * OWNER 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. + * + * curve25519-donna: Curve25519 elliptic curve, public key function + * + * http://code.google.com/p/curve25519-donna/ + * + * Adam Langley + * + * Derived from public domain C code by Daniel J. Bernstein + * + * More information about curve25519 can be found here + * http://cr.yp.to/ecdh.html + * + * djb's sample implementation of curve25519 is written in a special assembly + * language called qhasm and uses the floating point registers. + * + * This is, almost, a clean room reimplementation from the curve25519 paper. It + * uses many of the tricks described therein. Only the crecip function is taken + * from the sample implementation. + */ + +#include +#include + +#ifdef _MSC_VER +#define inline __inline +#endif + +typedef uint8_t u8; +typedef int32_t s32; +typedef int64_t limb; + +/* Field element representation: + * + * Field elements are written as an array of signed, 64-bit limbs, least + * significant first. The value of the field element is: + * x[0] + 2^26·x[1] + x^51·x[2] + 2^102·x[3] + ... + * + * i.e. the limbs are 26, 25, 26, 25, ... bits wide. + */ + +/* Sum two numbers: output += in */ +static void fsum(limb *output, const limb *in) { + unsigned i; + for (i = 0; i < 10; i += 2) { + output[0+i] = (output[0+i] + in[0+i]); + output[1+i] = (output[1+i] + in[1+i]); + } +} + +/* Find the difference of two numbers: output = in - output + * (note the order of the arguments!) + */ +static void fdifference(limb *output, const limb *in) { + unsigned i; + for (i = 0; i < 10; ++i) { + output[i] = (in[i] - output[i]); + } +} + +/* Multiply a number by a scalar: output = in * scalar */ +static void fscalar_product(limb *output, const limb *in, const limb scalar) { + unsigned i; + for (i = 0; i < 10; ++i) { + output[i] = in[i] * scalar; + } +} + +/* Multiply two numbers: output = in2 * in + * + * output must be distinct to both inputs. The inputs are reduced coefficient + * form, the output is not. + */ +static void fproduct(limb *output, const limb *in2, const limb *in) { + output[0] = ((limb) ((s32) in2[0])) * ((s32) in[0]); + output[1] = ((limb) ((s32) in2[0])) * ((s32) in[1]) + + ((limb) ((s32) in2[1])) * ((s32) in[0]); + output[2] = 2 * ((limb) ((s32) in2[1])) * ((s32) in[1]) + + ((limb) ((s32) in2[0])) * ((s32) in[2]) + + ((limb) ((s32) in2[2])) * ((s32) in[0]); + output[3] = ((limb) ((s32) in2[1])) * ((s32) in[2]) + + ((limb) ((s32) in2[2])) * ((s32) in[1]) + + ((limb) ((s32) in2[0])) * ((s32) in[3]) + + ((limb) ((s32) in2[3])) * ((s32) in[0]); + output[4] = ((limb) ((s32) in2[2])) * ((s32) in[2]) + + 2 * (((limb) ((s32) in2[1])) * ((s32) in[3]) + + ((limb) ((s32) in2[3])) * ((s32) in[1])) + + ((limb) ((s32) in2[0])) * ((s32) in[4]) + + ((limb) ((s32) in2[4])) * ((s32) in[0]); + output[5] = ((limb) ((s32) in2[2])) * ((s32) in[3]) + + ((limb) ((s32) in2[3])) * ((s32) in[2]) + + ((limb) ((s32) in2[1])) * ((s32) in[4]) + + ((limb) ((s32) in2[4])) * ((s32) in[1]) + + ((limb) ((s32) in2[0])) * ((s32) in[5]) + + ((limb) ((s32) in2[5])) * ((s32) in[0]); + output[6] = 2 * (((limb) ((s32) in2[3])) * ((s32) in[3]) + + ((limb) ((s32) in2[1])) * ((s32) in[5]) + + ((limb) ((s32) in2[5])) * ((s32) in[1])) + + ((limb) ((s32) in2[2])) * ((s32) in[4]) + + ((limb) ((s32) in2[4])) * ((s32) in[2]) + + ((limb) ((s32) in2[0])) * ((s32) in[6]) + + ((limb) ((s32) in2[6])) * ((s32) in[0]); + output[7] = ((limb) ((s32) in2[3])) * ((s32) in[4]) + + ((limb) ((s32) in2[4])) * ((s32) in[3]) + + ((limb) ((s32) in2[2])) * ((s32) in[5]) + + ((limb) ((s32) in2[5])) * ((s32) in[2]) + + ((limb) ((s32) in2[1])) * ((s32) in[6]) + + ((limb) ((s32) in2[6])) * ((s32) in[1]) + + ((limb) ((s32) in2[0])) * ((s32) in[7]) + + ((limb) ((s32) in2[7])) * ((s32) in[0]); + output[8] = ((limb) ((s32) in2[4])) * ((s32) in[4]) + + 2 * (((limb) ((s32) in2[3])) * ((s32) in[5]) + + ((limb) ((s32) in2[5])) * ((s32) in[3]) + + ((limb) ((s32) in2[1])) * ((s32) in[7]) + + ((limb) ((s32) in2[7])) * ((s32) in[1])) + + ((limb) ((s32) in2[2])) * ((s32) in[6]) + + ((limb) ((s32) in2[6])) * ((s32) in[2]) + + ((limb) ((s32) in2[0])) * ((s32) in[8]) + + ((limb) ((s32) in2[8])) * ((s32) in[0]); + output[9] = ((limb) ((s32) in2[4])) * ((s32) in[5]) + + ((limb) ((s32) in2[5])) * ((s32) in[4]) + + ((limb) ((s32) in2[3])) * ((s32) in[6]) + + ((limb) ((s32) in2[6])) * ((s32) in[3]) + + ((limb) ((s32) in2[2])) * ((s32) in[7]) + + ((limb) ((s32) in2[7])) * ((s32) in[2]) + + ((limb) ((s32) in2[1])) * ((s32) in[8]) + + ((limb) ((s32) in2[8])) * ((s32) in[1]) + + ((limb) ((s32) in2[0])) * ((s32) in[9]) + + ((limb) ((s32) in2[9])) * ((s32) in[0]); + output[10] = 2 * (((limb) ((s32) in2[5])) * ((s32) in[5]) + + ((limb) ((s32) in2[3])) * ((s32) in[7]) + + ((limb) ((s32) in2[7])) * ((s32) in[3]) + + ((limb) ((s32) in2[1])) * ((s32) in[9]) + + ((limb) ((s32) in2[9])) * ((s32) in[1])) + + ((limb) ((s32) in2[4])) * ((s32) in[6]) + + ((limb) ((s32) in2[6])) * ((s32) in[4]) + + ((limb) ((s32) in2[2])) * ((s32) in[8]) + + ((limb) ((s32) in2[8])) * ((s32) in[2]); + output[11] = ((limb) ((s32) in2[5])) * ((s32) in[6]) + + ((limb) ((s32) in2[6])) * ((s32) in[5]) + + ((limb) ((s32) in2[4])) * ((s32) in[7]) + + ((limb) ((s32) in2[7])) * ((s32) in[4]) + + ((limb) ((s32) in2[3])) * ((s32) in[8]) + + ((limb) ((s32) in2[8])) * ((s32) in[3]) + + ((limb) ((s32) in2[2])) * ((s32) in[9]) + + ((limb) ((s32) in2[9])) * ((s32) in[2]); + output[12] = ((limb) ((s32) in2[6])) * ((s32) in[6]) + + 2 * (((limb) ((s32) in2[5])) * ((s32) in[7]) + + ((limb) ((s32) in2[7])) * ((s32) in[5]) + + ((limb) ((s32) in2[3])) * ((s32) in[9]) + + ((limb) ((s32) in2[9])) * ((s32) in[3])) + + ((limb) ((s32) in2[4])) * ((s32) in[8]) + + ((limb) ((s32) in2[8])) * ((s32) in[4]); + output[13] = ((limb) ((s32) in2[6])) * ((s32) in[7]) + + ((limb) ((s32) in2[7])) * ((s32) in[6]) + + ((limb) ((s32) in2[5])) * ((s32) in[8]) + + ((limb) ((s32) in2[8])) * ((s32) in[5]) + + ((limb) ((s32) in2[4])) * ((s32) in[9]) + + ((limb) ((s32) in2[9])) * ((s32) in[4]); + output[14] = 2 * (((limb) ((s32) in2[7])) * ((s32) in[7]) + + ((limb) ((s32) in2[5])) * ((s32) in[9]) + + ((limb) ((s32) in2[9])) * ((s32) in[5])) + + ((limb) ((s32) in2[6])) * ((s32) in[8]) + + ((limb) ((s32) in2[8])) * ((s32) in[6]); + output[15] = ((limb) ((s32) in2[7])) * ((s32) in[8]) + + ((limb) ((s32) in2[8])) * ((s32) in[7]) + + ((limb) ((s32) in2[6])) * ((s32) in[9]) + + ((limb) ((s32) in2[9])) * ((s32) in[6]); + output[16] = ((limb) ((s32) in2[8])) * ((s32) in[8]) + + 2 * (((limb) ((s32) in2[7])) * ((s32) in[9]) + + ((limb) ((s32) in2[9])) * ((s32) in[7])); + output[17] = ((limb) ((s32) in2[8])) * ((s32) in[9]) + + ((limb) ((s32) in2[9])) * ((s32) in[8]); + output[18] = 2 * ((limb) ((s32) in2[9])) * ((s32) in[9]); +} + +/* Reduce a long form to a short form by taking the input mod 2^255 - 19. */ +static void freduce_degree(limb *output) { + /* Each of these shifts and adds ends up multiplying the value by 19. */ + output[8] += output[18] << 4; + output[8] += output[18] << 1; + output[8] += output[18]; + output[7] += output[17] << 4; + output[7] += output[17] << 1; + output[7] += output[17]; + output[6] += output[16] << 4; + output[6] += output[16] << 1; + output[6] += output[16]; + output[5] += output[15] << 4; + output[5] += output[15] << 1; + output[5] += output[15]; + output[4] += output[14] << 4; + output[4] += output[14] << 1; + output[4] += output[14]; + output[3] += output[13] << 4; + output[3] += output[13] << 1; + output[3] += output[13]; + output[2] += output[12] << 4; + output[2] += output[12] << 1; + output[2] += output[12]; + output[1] += output[11] << 4; + output[1] += output[11] << 1; + output[1] += output[11]; + output[0] += output[10] << 4; + output[0] += output[10] << 1; + output[0] += output[10]; +} + +#if (-1 & 3) != 3 +#error "This code only works on a two's complement system" +#endif + +/* return v / 2^26, using only shifts and adds. */ +static inline limb +div_by_2_26(const limb v) +{ + /* High word of v; no shift needed*/ + const uint32_t highword = (uint32_t) (((uint64_t) v) >> 32); + /* Set to all 1s if v was negative; else set to 0s. */ + const int32_t sign = ((int32_t) highword) >> 31; + /* Set to 0x3ffffff if v was negative; else set to 0. */ + const int32_t roundoff = ((uint32_t) sign) >> 6; + /* Should return v / (1<<26) */ + return (v + roundoff) >> 26; +} + +/* return v / (2^25), using only shifts and adds. */ +static inline limb +div_by_2_25(const limb v) +{ + /* High word of v; no shift needed*/ + const uint32_t highword = (uint32_t) (((uint64_t) v) >> 32); + /* Set to all 1s if v was negative; else set to 0s. */ + const int32_t sign = ((int32_t) highword) >> 31; + /* Set to 0x1ffffff if v was negative; else set to 0. */ + const int32_t roundoff = ((uint32_t) sign) >> 7; + /* Should return v / (1<<25) */ + return (v + roundoff) >> 25; +} + +static inline s32 +div_s32_by_2_25(const s32 v) +{ + const s32 roundoff = ((uint32_t)(v >> 31)) >> 7; + return (v + roundoff) >> 25; +} + +/* Reduce all coefficients of the short form input so that |x| < 2^26. + * + * On entry: |output[i]| < 2^62 + */ +static void freduce_coefficients(limb *output) { + unsigned i; + + output[10] = 0; + + for (i = 0; i < 10; i += 2) { + limb over = div_by_2_26(output[i]); + output[i] -= over << 26; + output[i+1] += over; + + over = div_by_2_25(output[i+1]); + output[i+1] -= over << 25; + output[i+2] += over; + } + /* Now |output[10]| < 2 ^ 38 and all other coefficients are reduced. */ + output[0] += output[10] << 4; + output[0] += output[10] << 1; + output[0] += output[10]; + + output[10] = 0; + + /* Now output[1..9] are reduced, and |output[0]| < 2^26 + 19 * 2^38 + * So |over| will be no more than 77825 */ + { + limb over = div_by_2_26(output[0]); + output[0] -= over << 26; + output[1] += over; + } + + /* Now output[0,2..9] are reduced, and |output[1]| < 2^25 + 77825 + * So |over| will be no more than 1. */ + { + /* output[1] fits in 32 bits, so we can use div_s32_by_2_25 here. */ + s32 over32 = div_s32_by_2_25((s32) output[1]); + output[1] -= over32 << 25; + output[2] += over32; + } + + /* Finally, output[0,1,3..9] are reduced, and output[2] is "nearly reduced": + * we have |output[2]| <= 2^26. This is good enough for all of our math, + * but it will require an extra freduce_coefficients before fcontract. */ +} + +/* A helpful wrapper around fproduct: output = in * in2. + * + * output must be distinct to both inputs. The output is reduced degree and + * reduced coefficient. + */ +static void +fmul(limb *output, const limb *in, const limb *in2) { + limb t[19]; + fproduct(t, in, in2); + freduce_degree(t); + freduce_coefficients(t); + memcpy(output, t, sizeof(limb) * 10); +} + +static void fsquare_inner(limb *output, const limb *in) { + output[0] = ((limb) ((s32) in[0])) * ((s32) in[0]); + output[1] = 2 * ((limb) ((s32) in[0])) * ((s32) in[1]); + output[2] = 2 * (((limb) ((s32) in[1])) * ((s32) in[1]) + + ((limb) ((s32) in[0])) * ((s32) in[2])); + output[3] = 2 * (((limb) ((s32) in[1])) * ((s32) in[2]) + + ((limb) ((s32) in[0])) * ((s32) in[3])); + output[4] = ((limb) ((s32) in[2])) * ((s32) in[2]) + + 4 * ((limb) ((s32) in[1])) * ((s32) in[3]) + + 2 * ((limb) ((s32) in[0])) * ((s32) in[4]); + output[5] = 2 * (((limb) ((s32) in[2])) * ((s32) in[3]) + + ((limb) ((s32) in[1])) * ((s32) in[4]) + + ((limb) ((s32) in[0])) * ((s32) in[5])); + output[6] = 2 * (((limb) ((s32) in[3])) * ((s32) in[3]) + + ((limb) ((s32) in[2])) * ((s32) in[4]) + + ((limb) ((s32) in[0])) * ((s32) in[6]) + + 2 * ((limb) ((s32) in[1])) * ((s32) in[5])); + output[7] = 2 * (((limb) ((s32) in[3])) * ((s32) in[4]) + + ((limb) ((s32) in[2])) * ((s32) in[5]) + + ((limb) ((s32) in[1])) * ((s32) in[6]) + + ((limb) ((s32) in[0])) * ((s32) in[7])); + output[8] = ((limb) ((s32) in[4])) * ((s32) in[4]) + + 2 * (((limb) ((s32) in[2])) * ((s32) in[6]) + + ((limb) ((s32) in[0])) * ((s32) in[8]) + + 2 * (((limb) ((s32) in[1])) * ((s32) in[7]) + + ((limb) ((s32) in[3])) * ((s32) in[5]))); + output[9] = 2 * (((limb) ((s32) in[4])) * ((s32) in[5]) + + ((limb) ((s32) in[3])) * ((s32) in[6]) + + ((limb) ((s32) in[2])) * ((s32) in[7]) + + ((limb) ((s32) in[1])) * ((s32) in[8]) + + ((limb) ((s32) in[0])) * ((s32) in[9])); + output[10] = 2 * (((limb) ((s32) in[5])) * ((s32) in[5]) + + ((limb) ((s32) in[4])) * ((s32) in[6]) + + ((limb) ((s32) in[2])) * ((s32) in[8]) + + 2 * (((limb) ((s32) in[3])) * ((s32) in[7]) + + ((limb) ((s32) in[1])) * ((s32) in[9]))); + output[11] = 2 * (((limb) ((s32) in[5])) * ((s32) in[6]) + + ((limb) ((s32) in[4])) * ((s32) in[7]) + + ((limb) ((s32) in[3])) * ((s32) in[8]) + + ((limb) ((s32) in[2])) * ((s32) in[9])); + output[12] = ((limb) ((s32) in[6])) * ((s32) in[6]) + + 2 * (((limb) ((s32) in[4])) * ((s32) in[8]) + + 2 * (((limb) ((s32) in[5])) * ((s32) in[7]) + + ((limb) ((s32) in[3])) * ((s32) in[9]))); + output[13] = 2 * (((limb) ((s32) in[6])) * ((s32) in[7]) + + ((limb) ((s32) in[5])) * ((s32) in[8]) + + ((limb) ((s32) in[4])) * ((s32) in[9])); + output[14] = 2 * (((limb) ((s32) in[7])) * ((s32) in[7]) + + ((limb) ((s32) in[6])) * ((s32) in[8]) + + 2 * ((limb) ((s32) in[5])) * ((s32) in[9])); + output[15] = 2 * (((limb) ((s32) in[7])) * ((s32) in[8]) + + ((limb) ((s32) in[6])) * ((s32) in[9])); + output[16] = ((limb) ((s32) in[8])) * ((s32) in[8]) + + 4 * ((limb) ((s32) in[7])) * ((s32) in[9]); + output[17] = 2 * ((limb) ((s32) in[8])) * ((s32) in[9]); + output[18] = 2 * ((limb) ((s32) in[9])) * ((s32) in[9]); +} + +static void +fsquare(limb *output, const limb *in) { + limb t[19]; + fsquare_inner(t, in); + freduce_degree(t); + freduce_coefficients(t); + memcpy(output, t, sizeof(limb) * 10); +} + +/* Take a little-endian, 32-byte number and expand it into polynomial form */ +static void +fexpand(limb *output, const u8 *input) { +#define F(n,start,shift,mask) \ + output[n] = ((((limb) input[start + 0]) | \ + ((limb) input[start + 1]) << 8 | \ + ((limb) input[start + 2]) << 16 | \ + ((limb) input[start + 3]) << 24) >> shift) & mask; + F(0, 0, 0, 0x3ffffff); + F(1, 3, 2, 0x1ffffff); + F(2, 6, 3, 0x3ffffff); + F(3, 9, 5, 0x1ffffff); + F(4, 12, 6, 0x3ffffff); + F(5, 16, 0, 0x1ffffff); + F(6, 19, 1, 0x3ffffff); + F(7, 22, 3, 0x1ffffff); + F(8, 25, 4, 0x3ffffff); + F(9, 28, 6, 0x3ffffff); +#undef F +} + +#if (-32 >> 1) != -16 +#error "This code only works when >> does sign-extension on negative numbers" +#endif + +/* Take a fully reduced polynomial form number and contract it into a + * little-endian, 32-byte array + */ +static void +fcontract(u8 *output, limb *input) { + int i; + int j; + + for (j = 0; j < 2; ++j) { + for (i = 0; i < 9; ++i) { + if ((i & 1) == 1) { + /* This calculation is a time-invariant way to make input[i] positive + by borrowing from the next-larger limb. + */ + const s32 mask = (s32)(input[i]) >> 31; + const s32 carry = -(((s32)(input[i]) & mask) >> 25); + input[i] = (s32)(input[i]) + (carry << 25); + input[i+1] = (s32)(input[i+1]) - carry; + } else { + const s32 mask = (s32)(input[i]) >> 31; + const s32 carry = -(((s32)(input[i]) & mask) >> 26); + input[i] = (s32)(input[i]) + (carry << 26); + input[i+1] = (s32)(input[i+1]) - carry; + } + } + { + const s32 mask = (s32)(input[9]) >> 31; + const s32 carry = -(((s32)(input[9]) & mask) >> 25); + input[9] = (s32)(input[9]) + (carry << 25); + input[0] = (s32)(input[0]) - (carry * 19); + } + } + + /* The first borrow-propagation pass above ended with every limb + except (possibly) input[0] non-negative. + + Since each input limb except input[0] is decreased by at most 1 + by a borrow-propagation pass, the second borrow-propagation pass + could only have wrapped around to decrease input[0] again if the + first pass left input[0] negative *and* input[1] through input[9] + were all zero. In that case, input[1] is now 2^25 - 1, and this + last borrow-propagation step will leave input[1] non-negative. + */ + { + const s32 mask = (s32)(input[0]) >> 31; + const s32 carry = -(((s32)(input[0]) & mask) >> 26); + input[0] = (s32)(input[0]) + (carry << 26); + input[1] = (s32)(input[1]) - carry; + } + + /* Both passes through the above loop, plus the last 0-to-1 step, are + necessary: if input[9] is -1 and input[0] through input[8] are 0, + negative values will remain in the array until the end. + */ + + input[1] <<= 2; + input[2] <<= 3; + input[3] <<= 5; + input[4] <<= 6; + input[6] <<= 1; + input[7] <<= 3; + input[8] <<= 4; + input[9] <<= 6; +#define F(i, s) \ + output[s+0] |= input[i] & 0xff; \ + output[s+1] = (input[i] >> 8) & 0xff; \ + output[s+2] = (input[i] >> 16) & 0xff; \ + output[s+3] = (input[i] >> 24) & 0xff; + output[0] = 0; + output[16] = 0; + F(0,0); + F(1,3); + F(2,6); + F(3,9); + F(4,12); + F(5,16); + F(6,19); + F(7,22); + F(8,25); + F(9,28); +#undef F +} + +/* Input: Q, Q', Q-Q' + * Output: 2Q, Q+Q' + * + * x2 z3: long form + * x3 z3: long form + * x z: short form, destroyed + * xprime zprime: short form, destroyed + * qmqp: short form, preserved + */ +static void fmonty(limb *x2, limb *z2, /* output 2Q */ + limb *x3, limb *z3, /* output Q + Q' */ + limb *x, limb *z, /* input Q */ + limb *xprime, limb *zprime, /* input Q' */ + const limb *qmqp /* input Q - Q' */) { + limb origx[10], origxprime[10], zzz[19], xx[19], zz[19], xxprime[19], + zzprime[19], zzzprime[19], xxxprime[19]; + + memcpy(origx, x, 10 * sizeof(limb)); + fsum(x, z); + fdifference(z, origx); // does x - z + + memcpy(origxprime, xprime, sizeof(limb) * 10); + fsum(xprime, zprime); + fdifference(zprime, origxprime); + fproduct(xxprime, xprime, z); + fproduct(zzprime, x, zprime); + freduce_degree(xxprime); + freduce_coefficients(xxprime); + freduce_degree(zzprime); + freduce_coefficients(zzprime); + memcpy(origxprime, xxprime, sizeof(limb) * 10); + 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(limb) * 10); + memcpy(z3, zzprime, sizeof(limb) * 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(limb) * 9); + fscalar_product(zzz, zz, 121665); + /* No need to call freduce_degree here: + fscalar_product doesn't increase the degree of its input. */ + freduce_coefficients(zzz); + fsum(zzz, xx); + fproduct(z2, zz, zzz); + freduce_degree(z2); + freduce_coefficients(z2); +} + +/* Conditionally swap two reduced-form limb arrays if 'iswap' is 1, but leave + * them unchanged if 'iswap' is 0. Runs in data-invariant time to avoid + * side-channel attacks. + * + * NOTE that this function requires that 'iswap' be 1 or 0; other values give + * wrong results. Also, the two limb arrays must be in reduced-coefficient, + * reduced-degree form: the values in a[10..19] or b[10..19] aren't swapped, + * and all all values in a[0..9],b[0..9] must have magnitude less than + * INT32_MAX. + */ +static void +swap_conditional(limb a[19], limb b[19], limb iswap) { + unsigned i; + const s32 swap = (s32) -iswap; + + for (i = 0; i < 10; ++i) { + const s32 x = swap & ( ((s32)a[i]) ^ ((s32)b[i]) ); + a[i] = ((s32)a[i]) ^ x; + b[i] = ((s32)b[i]) ^ x; + } +} + +/* 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(limb *resultx, limb *resultz, const u8 *n, const limb *q) { + limb a[19] = {0}, b[19] = {1}, c[19] = {1}, d[19] = {0}; + limb *nqpqx = a, *nqpqz = b, *nqx = c, *nqz = d, *t; + limb e[19] = {0}, f[19] = {1}, g[19] = {0}, h[19] = {1}; + limb *nqpqx2 = e, *nqpqz2 = f, *nqx2 = g, *nqz2 = h; + + unsigned i, j; + + memcpy(nqpqx, q, sizeof(limb) * 10); + + for (i = 0; i < 32; ++i) { + u8 byte = n[31 - i]; + for (j = 0; j < 8; ++j) { + const limb bit = byte >> 7; + + swap_conditional(nqx, nqpqx, bit); + swap_conditional(nqz, nqpqz, bit); + fmonty(nqx2, nqz2, + nqpqx2, nqpqz2, + nqx, nqz, + nqpqx, nqpqz, + q); + swap_conditional(nqx2, nqpqx2, bit); + swap_conditional(nqz2, nqpqz2, bit); + + 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(limb) * 10); + memcpy(resultz, nqz, sizeof(limb) * 10); +} + +// ----------------------------------------------------------------------------- +// Shamelessly copied from djb's code +// ----------------------------------------------------------------------------- +static void +crecip(limb *out, const limb *z) { + limb z2[10]; + limb z9[10]; + limb z11[10]; + limb z2_5_0[10]; + limb z2_10_0[10]; + limb z2_20_0[10]; + limb z2_50_0[10]; + limb z2_100_0[10]; + limb t0[10]; + limb 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); +} + +int curve25519_donna(u8 *, const u8 *, const u8 *); + +int +curve25519_donna(u8 *mypublic, const u8 *secret, const u8 *basepoint) { + limb bp[10], x[10], z[11], zmone[10]; + uint8_t e[32]; + int i; + + for (i = 0; i < 32; ++i) e[i] = secret[i]; + e[0] &= 248; + e[31] &= 127; + e[31] |= 64; + + fexpand(bp, basepoint); + cmult(x, z, e, bp); + crecip(zmone, z); + fmul(z, x, zmone); + freduce_coefficients(z); + fcontract(mypublic, z); + return 0; +} diff --git a/library/jni/curve25519-donna.h b/library/jni/curve25519-donna.h new file mode 100644 index 000000000..3e4dfcee0 --- /dev/null +++ b/library/jni/curve25519-donna.h @@ -0,0 +1,6 @@ +#ifndef CURVE25519_DONNA_H +#define CURVE25519_DONNA_H + +extern int curve25519_donna(uint8_t *, const uint8_t *, const uint8_t *); + +#endif diff --git a/library/libs/armeabi.jar b/library/libs/armeabi.jar new file mode 100644 index 0000000000000000000000000000000000000000..b34bd1237c9c11762b1ab050900123c1f7170519 GIT binary 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