diff options
Diffstat (limited to 'jni')
77 files changed, 6403 insertions, 0 deletions
diff --git a/jni/Android.mk b/jni/Android.mk new file mode 100644 index 00000000..fea39cf3 --- /dev/null +++ b/jni/Android.mk @@ -0,0 +1,27 @@ +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-ref10 +LOCAL_SRC_FILES := $(wildcard ed25519/*.c) $(wildcard ed25519/additions/*.c) $(wildcard ed25519/nacl_sha512/*.c) +LOCAL_C_INCLUDES := ed25519/nacl_includes ed25519/additions ed25519/sha512 ed25519 + +include $(BUILD_STATIC_LIBRARY) + +include $(CLEAR_VARS) + +LOCAL_MODULE := libcurve25519 +LOCAL_SRC_FILES := curve25519-jni.c +LOCAL_C_INCLUDES := ed25519/additions + +LOCAL_STATIC_LIBRARIES := libcurve25519-donna libcurve25519-ref10 + +include $(BUILD_SHARED_LIBRARY) + diff --git a/jni/Application.mk b/jni/Application.mk new file mode 100644 index 00000000..e942d8e6 --- /dev/null +++ b/jni/Application.mk @@ -0,0 +1 @@ +APP_ABI := armeabi armeabi-v7a x86 mips diff --git a/jni/curve25519-donna.c b/jni/curve25519-donna.c new file mode 100644 index 00000000..f2c2ac58 --- /dev/null +++ b/jni/curve25519-donna.c @@ -0,0 +1,870 @@ +/* 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 <agl@imperialviolet.org> + * + * Derived from public domain C code by Daniel J. Bernstein <djb@cr.yp.to> + * + * 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 <string.h> +#include <stdint.h> + +#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. + * + * output[x] <= 14 * the largest product of the input limbs. */ +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. + * + * On entry: |output[i]| < 14*2^54 + * On exit: |output[0..8]| < 280*2^54 */ +static void freduce_degree(limb *output) { + /* Each of these shifts and adds ends up multiplying the value by 19. + * + * For output[0..8], the absolute entry value is < 14*2^54 and we add, at + * most, 19*14*2^54 thus, on exit, |output[0..8]| < 280*2^54. */ + 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. + * + * On entry: v can take any value. */ +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. + * + * On entry: v can take any value. */ +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; +} + +/* return v / (2^25), using only shifts and adds. + * + * On entry: v can take any value. */ +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]| < 280*2^54 */ +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]); + /* The entry condition (that |output[i]| < 280*2^54) means that over is, at + * most, 280*2^28 in the first iteration of this loop. This is added to the + * next limb and we can approximate the resulting bound of that limb by + * 281*2^54. */ + output[i] -= over << 26; + output[i+1] += over; + + /* For the first iteration, |output[i+1]| < 281*2^54, thus |over| < + * 281*2^29. When this is added to the next limb, the resulting bound can + * be approximated as 281*2^54. + * + * For subsequent iterations of the loop, 281*2^54 remains a conservative + * bound and no overflow occurs. */ + over = div_by_2_25(output[i+1]); + output[i+1] -= over << 25; + output[i+2] += over; + } + /* Now |output[10]| < 281*2^29 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*281*2^29 + * So |over| will be no more than 2^16. */ + { + 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 + 2^16 < 2^26. The + * bound on |output[1]| is sufficient to meet our needs. */ +} + +/* A helpful wrapper around fproduct: output = in * in2. + * + * On entry: |in[i]| < 2^27 and |in2[i]| < 2^27. + * + * output must be distinct to both inputs. The output is reduced degree + * (indeed, one need only provide storage for 10 limbs) and |output[i]| < 2^26. */ +static void +fmul(limb *output, const limb *in, const limb *in2) { + limb t[19]; + fproduct(t, in, in2); + /* |t[i]| < 14*2^54 */ + freduce_degree(t); + freduce_coefficients(t); + /* |t[i]| < 2^26 */ + memcpy(output, t, sizeof(limb) * 10); +} + +/* Square a number: output = in**2 + * + * output must be distinct from the input. The inputs are reduced coefficient + * form, the output is not. + * + * output[x] <= 14 * the largest product of the input limbs. */ +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]); +} + +/* fsquare sets output = in^2. + * + * On entry: The |in| argument is in reduced coefficients form and |in[i]| < + * 2^27. + * + * On exit: The |output| argument is in reduced coefficients form (indeed, one + * need only provide storage for 10 limbs) and |out[i]| < 2^26. */ +static void +fsquare(limb *output, const limb *in) { + limb t[19]; + fsquare_inner(t, in); + /* |t[i]| < 14*2^54 because the largest product of two limbs will be < + * 2^(27+27) and fsquare_inner adds together, at most, 14 of those + * products. */ + freduce_degree(t); + freduce_coefficients(t); + /* |t[i]| < 2^26 */ + 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, 0x1ffffff); +#undef F +} + +#if (-32 >> 1) != -16 +#error "This code only works when >> does sign-extension on negative numbers" +#endif + +/* s32_eq returns 0xffffffff iff a == b and zero otherwise. */ +static s32 s32_eq(s32 a, s32 b) { + a = ~(a ^ b); + a &= a << 16; + a &= a << 8; + a &= a << 4; + a &= a << 2; + a &= a << 1; + return a >> 31; +} + +/* s32_gte returns 0xffffffff if a >= b and zero otherwise, where a and b are + * both non-negative. */ +static s32 s32_gte(s32 a, s32 b) { + a -= b; + /* a >= 0 iff a >= b. */ + return ~(a >> 31); +} + +/* Take a fully reduced polynomial form number and contract it into a + * little-endian, 32-byte array. + * + * On entry: |input_limbs[i]| < 2^26 */ +static void +fcontract(u8 *output, limb *input_limbs) { + int i; + int j; + s32 input[10]; + s32 mask; + + /* |input_limbs[i]| < 2^26, so it's valid to convert to an s32. */ + for (i = 0; i < 10; i++) { + input[i] = input_limbs[i]; + } + + 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] + * non-negative by borrowing from the next-larger limb. */ + const s32 mask = input[i] >> 31; + const s32 carry = -((input[i] & mask) >> 25); + input[i] = input[i] + (carry << 25); + input[i+1] = input[i+1] - carry; + } else { + const s32 mask = input[i] >> 31; + const s32 carry = -((input[i] & mask) >> 26); + input[i] = input[i] + (carry << 26); + input[i+1] = input[i+1] - carry; + } + } + + /* There's no greater limb for input[9] to borrow from, but we can multiply + * by 19 and borrow from input[0], which is valid mod 2^255-19. */ + { + const s32 mask = input[9] >> 31; + const s32 carry = -((input[9] & mask) >> 25); + input[9] = input[9] + (carry << 25); + input[0] = input[0] - (carry * 19); + } + + /* After the first iteration, input[1..9] are non-negative and fit within + * 25 or 26 bits, depending on position. However, input[0] may be + * negative. */ + } + + /* The first borrow-propagation pass above ended with every limb + except (possibly) input[0] non-negative. + + If input[0] was negative after the first pass, then it was because of a + carry from input[9]. On entry, input[9] < 2^26 so the carry was, at most, + one, since (2**26-1) >> 25 = 1. Thus input[0] >= -19. + + In the second pass, each limb is decreased by at most one. Thus 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 = input[0] >> 31; + const s32 carry = -((input[0] & mask) >> 26); + input[0] = input[0] + (carry << 26); + input[1] = input[1] - carry; + } + + /* All input[i] are now non-negative. However, there might be values between + * 2^25 and 2^26 in a limb which is, nominally, 25 bits wide. */ + for (j = 0; j < 2; j++) { + for (i = 0; i < 9; i++) { + if ((i & 1) == 1) { + const s32 carry = input[i] >> 25; + input[i] &= 0x1ffffff; + input[i+1] += carry; + } else { + const s32 carry = input[i] >> 26; + input[i] &= 0x3ffffff; + input[i+1] += carry; + } + } + + { + const s32 carry = input[9] >> 25; + input[9] &= 0x1ffffff; + input[0] += 19*carry; + } + } + + /* If the first carry-chain pass, just above, ended up with a carry from + * input[9], and that caused input[0] to be out-of-bounds, then input[0] was + * < 2^26 + 2*19, because the carry was, at most, two. + * + * If the second pass carried from input[9] again then input[0] is < 2*19 and + * the input[9] -> input[0] carry didn't push input[0] out of bounds. */ + + /* It still remains the case that input might be between 2^255-19 and 2^255. + * In this case, input[1..9] must take their maximum value and input[0] must + * be >= (2^255-19) & 0x3ffffff, which is 0x3ffffed. */ + mask = s32_gte(input[0], 0x3ffffed); + for (i = 1; i < 10; i++) { + if ((i & 1) == 1) { + mask &= s32_eq(input[i], 0x1ffffff); + } else { + mask &= s32_eq(input[i], 0x3ffffff); + } + } + + /* mask is either 0xffffffff (if input >= 2^255-19) and zero otherwise. Thus + * this conditionally subtracts 2^255-19. */ + input[0] -= mask & 0x3ffffed; + + for (i = 1; i < 10; i++) { + if ((i & 1) == 1) { + input[i] -= mask & 0x1ffffff; + } else { + input[i] -= mask & 0x3ffffff; + } + } + + 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 + * + * On entry and exit, the absolute value of the limbs of all inputs and outputs + * are < 2^26. */ +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); + /* |x[i]| < 2^27 */ + fdifference(z, origx); /* does x - z */ + /* |z[i]| < 2^27 */ + + memcpy(origxprime, xprime, sizeof(limb) * 10); + fsum(xprime, zprime); + /* |xprime[i]| < 2^27 */ + fdifference(zprime, origxprime); + /* |zprime[i]| < 2^27 */ + fproduct(xxprime, xprime, z); + /* |xxprime[i]| < 14*2^54: the largest product of two limbs will be < + * 2^(27+27) and fproduct adds together, at most, 14 of those products. + * (Approximating that to 2^58 doesn't work out.) */ + fproduct(zzprime, x, zprime); + /* |zzprime[i]| < 14*2^54 */ + freduce_degree(xxprime); + freduce_coefficients(xxprime); + /* |xxprime[i]| < 2^26 */ + freduce_degree(zzprime); + freduce_coefficients(zzprime); + /* |zzprime[i]| < 2^26 */ + memcpy(origxprime, xxprime, sizeof(limb) * 10); + fsum(xxprime, zzprime); + /* |xxprime[i]| < 2^27 */ + fdifference(zzprime, origxprime); + /* |zzprime[i]| < 2^27 */ + fsquare(xxxprime, xxprime); + /* |xxxprime[i]| < 2^26 */ + fsquare(zzzprime, zzprime); + /* |zzzprime[i]| < 2^26 */ + fproduct(zzprime, zzzprime, qmqp); + /* |zzprime[i]| < 14*2^52 */ + freduce_degree(zzprime); + freduce_coefficients(zzprime); + /* |zzprime[i]| < 2^26 */ + memcpy(x3, xxxprime, sizeof(limb) * 10); + memcpy(z3, zzprime, sizeof(limb) * 10); + + fsquare(xx, x); + /* |xx[i]| < 2^26 */ + fsquare(zz, z); + /* |zz[i]| < 2^26 */ + fproduct(x2, xx, zz); + /* |x2[i]| < 14*2^52 */ + freduce_degree(x2); + freduce_coefficients(x2); + /* |x2[i]| < 2^26 */ + fdifference(zz, xx); // does zz = xx - zz + /* |zz[i]| < 2^27 */ + memset(zzz + 10, 0, sizeof(limb) * 9); + fscalar_product(zzz, zz, 121665); + /* |zzz[i]| < 2^(27+17) */ + /* No need to call freduce_degree here: + fscalar_product doesn't increase the degree of its input. */ + freduce_coefficients(zzz); + /* |zzz[i]| < 2^26 */ + fsum(zzz, xx); + /* |zzz[i]| < 2^27 */ + fproduct(z2, zz, zzz); + /* |z2[i]| < 14*2^(26+27) */ + freduce_degree(z2); + freduce_coefficients(z2); + /* |z2|i| < 2^26 */ +} + +/* 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 *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); + fcontract(mypublic, z); + return 0; +} diff --git a/jni/curve25519-donna.h b/jni/curve25519-donna.h new file mode 100644 index 00000000..3e4dfcee --- /dev/null +++ b/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/jni/curve25519-jni.c b/jni/curve25519-jni.c new file mode 100644 index 00000000..5d058a91 --- /dev/null +++ b/jni/curve25519-jni.c @@ -0,0 +1,109 @@ +/** + * Copyright (C) 2013-2014 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 <http://www.gnu.org/licenses/>. + */ + +#include <string.h> +#include <stdint.h> + +#include <jni.h> +#include "curve25519-donna.h" +#include "curve_sigs.h" + +JNIEXPORT jbyteArray JNICALL Java_org_whispersystems_libaxolotl_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_libaxolotl_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_libaxolotl_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; +} + +JNIEXPORT jbyteArray JNICALL Java_org_whispersystems_libaxolotl_ecc_Curve25519_calculateSignature + (JNIEnv *env, jclass clazz, jbyteArray random, jbyteArray privateKey, jbyteArray message) +{ + jbyteArray signature = (*env)->NewByteArray(env, 64); + uint8_t* signatureBytes = (uint8_t*)(*env)->GetByteArrayElements(env, signature, 0); + uint8_t* randomBytes = (uint8_t*)(*env)->GetByteArrayElements(env, random, 0); + uint8_t* privateKeyBytes = (uint8_t*)(*env)->GetByteArrayElements(env, privateKey, 0); + uint8_t* messageBytes = (uint8_t*)(*env)->GetByteArrayElements(env, message, 0); + jsize messageLength = (*env)->GetArrayLength(env, message); + + int result = curve25519_sign(signatureBytes, privateKeyBytes, messageBytes, messageLength, randomBytes); + + (*env)->ReleaseByteArrayElements(env, signature, signatureBytes, 0); + (*env)->ReleaseByteArrayElements(env, random, randomBytes, 0); + (*env)->ReleaseByteArrayElements(env, privateKey, privateKeyBytes, 0); + (*env)->ReleaseByteArrayElements(env, message, messageBytes, 0); + + if (result == 0) return signature; + else (*env)->ThrowNew(env, (*env)->FindClass(env, "java/lang/AssertionError"), "Signature failed!"); +} + +JNIEXPORT jboolean JNICALL Java_org_whispersystems_libaxolotl_ecc_Curve25519_verifySignature + (JNIEnv *env, jclass clazz, jbyteArray publicKey, jbyteArray message, jbyteArray signature) +{ + uint8_t* signatureBytes = (uint8_t*)(*env)->GetByteArrayElements(env, signature, 0); + uint8_t* publicKeyBytes = (uint8_t*)(*env)->GetByteArrayElements(env, publicKey, 0); + uint8_t* messageBytes = (uint8_t*)(*env)->GetByteArrayElements(env, message, 0); + jsize messageLength = (*env)->GetArrayLength(env, message); + + jboolean result = (curve25519_verify(signatureBytes, publicKeyBytes, messageBytes, messageLength) == 0); + + (*env)->ReleaseByteArrayElements(env, signature, signatureBytes, 0); + (*env)->ReleaseByteArrayElements(env, publicKey, publicKeyBytes, 0); + (*env)->ReleaseByteArrayElements(env, message, messageBytes, 0); + + return result; +} diff --git a/jni/ed25519/additions/compare.c b/jni/ed25519/additions/compare.c new file mode 100644 index 00000000..8b1e3138 --- /dev/null +++ b/jni/ed25519/additions/compare.c @@ -0,0 +1,44 @@ +#include <string.h> +#include "compare.h" + +/* Const-time comparison from SUPERCOP, but here it's only used for + signature verification, so doesn't need to be const-time. But + copied the nacl version anyways. */ +int crypto_verify_32_ref(const unsigned char *x, const unsigned char *y) +{ + unsigned int differentbits = 0; +#define F(i) differentbits |= x[i] ^ y[i]; + F(0) + F(1) + F(2) + F(3) + F(4) + F(5) + F(6) + F(7) + F(8) + F(9) + F(10) + F(11) + F(12) + F(13) + F(14) + F(15) + F(16) + F(17) + F(18) + F(19) + F(20) + F(21) + F(22) + F(23) + F(24) + F(25) + F(26) + F(27) + F(28) + F(29) + F(30) + F(31) + return (1 & ((differentbits - 1) >> 8)) - 1; +} diff --git a/jni/ed25519/additions/compare.h b/jni/ed25519/additions/compare.h new file mode 100644 index 00000000..5a2fa910 --- /dev/null +++ b/jni/ed25519/additions/compare.h @@ -0,0 +1,6 @@ +#ifndef __COMPARE_H__ +#define __COMPARE_H__ + +int crypto_verify_32_ref(const unsigned char *b1, const unsigned char *b2); + +#endif diff --git a/jni/ed25519/additions/crypto_hash_sha512.h b/jni/ed25519/additions/crypto_hash_sha512.h new file mode 100644 index 00000000..a51a190d --- /dev/null +++ b/jni/ed25519/additions/crypto_hash_sha512.h @@ -0,0 +1,6 @@ +#ifndef crypto_hash_sha512_H +#define crypto_hash_sha512_H + +extern int crypto_hash_sha512(unsigned char *,const unsigned char *,unsigned long long); + +#endif diff --git a/jni/ed25519/additions/curve_sigs.c b/jni/ed25519/additions/curve_sigs.c new file mode 100644 index 00000000..51f2052d --- /dev/null +++ b/jni/ed25519/additions/curve_sigs.c @@ -0,0 +1,116 @@ +#include <string.h> +#include "ge.h" +#include "curve_sigs.h" +#include "crypto_sign.h" + +void curve25519_keygen(unsigned char* curve25519_pubkey_out, + const unsigned char* curve25519_privkey_in) +{ + ge_p3 ed; /* Ed25519 pubkey point */ + fe ed_y, ed_y_plus_one, one_minus_ed_y, inv_one_minus_ed_y; + fe mont_x; + + /* Perform a fixed-base multiplication of the Edwards base point, + (which is efficient due to precalculated tables), then convert + to the Curve25519 montgomery-format public key. In particular, + convert Curve25519's "montgomery" x-coordinate into an Ed25519 + "edwards" y-coordinate: + + mont_x = (ed_y + 1) / (1 - ed_y) + + with projective coordinates: + + mont_x = (ed_y + ed_z) / (ed_z - ed_y) + + NOTE: ed_y=1 is converted to mont_x=0 since fe_invert is mod-exp + */ + + ge_scalarmult_base(&ed, curve25519_privkey_in); + fe_add(ed_y_plus_one, ed.Y, ed.Z); + fe_sub(one_minus_ed_y, ed.Z, ed.Y); + fe_invert(inv_one_minus_ed_y, one_minus_ed_y); + fe_mul(mont_x, ed_y_plus_one, inv_one_minus_ed_y); + fe_tobytes(curve25519_pubkey_out, mont_x); +} + +int curve25519_sign(unsigned char* signature_out, + const unsigned char* curve25519_privkey, + const unsigned char* msg, const unsigned long msg_len, + const unsigned char* random) +{ + ge_p3 ed_pubkey_point; /* Ed25519 pubkey point */ + unsigned char ed_pubkey[32]; /* Ed25519 encoded pubkey */ + unsigned char sigbuf[MAX_MSG_LEN + 128]; /* working buffer */ + unsigned char sign_bit = 0; + + if (msg_len > MAX_MSG_LEN) { + memset(signature_out, 0, 64); + return -1; + } + + /* Convert the Curve25519 privkey to an Ed25519 public key */ + ge_scalarmult_base(&ed_pubkey_point, curve25519_privkey); + ge_p3_tobytes(ed_pubkey, &ed_pubkey_point); + sign_bit = ed_pubkey[31] & 0x80; + + /* Perform an Ed25519 signature with explicit private key */ + crypto_sign_modified(sigbuf, msg, msg_len, curve25519_privkey, + ed_pubkey, random); + memmove(signature_out, sigbuf, 64); + + /* Encode the sign bit into signature (in unused high bit of S) */ + signature_out[63] &= 0x7F; /* bit should be zero already, but just in case */ + signature_out[63] |= sign_bit; + return 0; +} + +int curve25519_verify(const unsigned char* signature, + const unsigned char* curve25519_pubkey, + const unsigned char* msg, const unsigned long msg_len) +{ + fe mont_x, mont_x_minus_one, mont_x_plus_one, inv_mont_x_plus_one; + fe one; + fe ed_y; + unsigned char ed_pubkey[32]; + unsigned long long some_retval; + unsigned char verifybuf[MAX_MSG_LEN + 64]; /* working buffer */ + unsigned char verifybuf2[MAX_MSG_LEN + 64]; /* working buffer #2 */ + + if (msg_len > MAX_MSG_LEN) { + return -1; + } + + /* Convert the Curve25519 public key into an Ed25519 public key. In + particular, convert Curve25519's "montgomery" x-coordinate into an + Ed25519 "edwards" y-coordinate: + + ed_y = (mont_x - 1) / (mont_x + 1) + + NOTE: mont_x=-1 is converted to ed_y=0 since fe_invert is mod-exp + + Then move the sign bit into the pubkey from the signature. + */ + fe_frombytes(mont_x, curve25519_pubkey); + fe_1(one); + fe_sub(mont_x_minus_one, mont_x, one); + fe_add(mont_x_plus_one, mont_x, one); + fe_invert(inv_mont_x_plus_one, mont_x_plus_one); + fe_mul(ed_y, mont_x_minus_one, inv_mont_x_plus_one); + fe_tobytes(ed_pubkey, ed_y); + + /* Copy the sign bit, and remove it from signature */ + ed_pubkey[31] &= 0x7F; /* bit should be zero already, but just in case */ + ed_pubkey[31] |= (signature[63] & 0x80); + memmove(verifybuf, signature, 64); + verifybuf[63] &= 0x7F; + + memmove(verifybuf+64, msg, msg_len); + + /* Then perform a normal Ed25519 verification, return 0 on success */ + /* The below call has a strange API: */ + /* verifybuf = R || S || message */ + /* verifybuf2 = internal to next call gets a copy of verifybuf, S gets + replaced with pubkey for hashing, then the whole thing gets zeroized + (if bad sig), or contains a copy of msg (good sig) */ + return crypto_sign_open(verifybuf2, &some_retval, verifybuf, 64 + msg_len, ed_pubkey); +} diff --git a/jni/ed25519/additions/curve_sigs.h b/jni/ed25519/additions/curve_sigs.h new file mode 100644 index 00000000..cc462471 --- /dev/null +++ b/jni/ed25519/additions/curve_sigs.h @@ -0,0 +1,50 @@ + +#ifndef __CURVE_SIGS_H__ +#define __CURVE_SIGS_H__ + +#define MAX_MSG_LEN 256 + +void curve25519_keygen(unsigned char* curve25519_pubkey_out, /* 32 bytes */ + const unsigned char* curve25519_privkey_in); /* 32 bytes */ + +/* returns 0 on success */ +int curve25519_sign(unsigned char* signature_out, /* 64 bytes */ + const unsigned char* curve25519_privkey, /* 32 bytes */ + const unsigned char* msg, const unsigned long msg_len, + const unsigned char* random); /* 64 bytes */ + +/* returns 0 on success */ +int curve25519_verify(const unsigned char* signature, /* 64 bytes */ + const unsigned char* curve25519_pubkey, /* 32 bytes */ + const unsigned char* msg, const unsigned long msg_len); + +/* helper function - modified version of crypto_sign() to use + explicit private key. In particular: + + sk : private key + pk : public key + msg : message + prefix : 0xFE || [0xFF]*31 + random : 64 bytes random + q : main subgroup order + + The prefix is chosen to distinguish the two SHA512 uses below, since + prefix is an invalid encoding for R (it would encode a "field element" + of 2^255 - 2). 0xFF*32 is set aside for use in ECDH protocols, which + is why the first byte here ix 0xFE. + + sig_nonce = SHA512(prefix || sk || msg || random) % q + R = g^sig_nonce + M = SHA512(R || pk || m) + S = sig_nonce + (m * sk) + signature = (R || S) + */ +int crypto_sign_modified( + unsigned char *sm, + const unsigned char *m,unsigned long long mlen, + const unsigned char *sk, /* Curve/Ed25519 private key */ + const unsigned char *pk, /* Ed25519 public key */ + const unsigned char *random /* 64 bytes random to hash into nonce */ + ); + +#endif diff --git a/jni/ed25519/additions/sign_modified.c b/jni/ed25519/additions/sign_modified.c new file mode 100644 index 00000000..61332e70 --- /dev/null +++ b/jni/ed25519/additions/sign_modified.c @@ -0,0 +1,47 @@ +#include <string.h> +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "ge.h" +#include "sc.h" +#include "zeroize.h" + +/* NEW: Compare to pristine crypto_sign() + Uses explicit private key for nonce derivation and as scalar, + instead of deriving both from a master key. +*/ +int crypto_sign_modified( + unsigned char *sm, + const unsigned char *m,unsigned long long mlen, + const unsigned char *sk, const unsigned char* pk, + const unsigned char* random +) +{ + unsigned char nonce[64]; + unsigned char hram[64]; + ge_p3 R; + int count=0; + + memmove(sm + 64,m,mlen); + memmove(sm + 32,sk,32); /* NEW: Use privkey directly for nonce derivation */ + + /* NEW : add prefix to separate hash uses - see .h */ + sm[0] = 0xFE; + for (count = 1; count < 32; count++) + sm[count] = 0xFF; + + /* NEW: add suffix of random data */ + memmove(sm + mlen + 64, random, 64); + + crypto_hash_sha512(nonce,sm,mlen + 128); + memmove(sm + 32,pk,32); + + sc_reduce(nonce); + ge_scalarmult_base(&R,nonce); + ge_p3_tobytes(sm,&R); + + crypto_hash_sha512(hram,sm,mlen + 64); + sc_reduce(hram); + sc_muladd(sm + 32,hram,sk,nonce); /* NEW: Use privkey directly */ + + return 0; +} diff --git a/jni/ed25519/additions/zeroize.c b/jni/ed25519/additions/zeroize.c new file mode 100644 index 00000000..37c1f708 --- /dev/null +++ b/jni/ed25519/additions/zeroize.c @@ -0,0 +1,17 @@ +#include "zeroize.h" + +void zeroize(unsigned char* b, size_t len) +{ + size_t count = 0; + unsigned long retval = 0; + volatile unsigned char *p = b; + + for (count = 0; count < len; count++) + p[count] = 0; +} + +void zeroize_stack() +{ + unsigned char m[ZEROIZE_STACK_SIZE]; + zeroize(m, sizeof m); +} diff --git a/jni/ed25519/additions/zeroize.h b/jni/ed25519/additions/zeroize.h new file mode 100644 index 00000000..80fcffb7 --- /dev/null +++ b/jni/ed25519/additions/zeroize.h @@ -0,0 +1,12 @@ +#ifndef __ZEROIZE_H__ +#define __ZEROIZE_H__ + +#include <stdlib.h> + +#define ZEROIZE_STACK_SIZE 2048 + +void zeroize(unsigned char* b, size_t len); + +void zeroize_stack(); + +#endif diff --git a/jni/ed25519/api.h b/jni/ed25519/api.h new file mode 100644 index 00000000..d88dae0c --- /dev/null +++ b/jni/ed25519/api.h @@ -0,0 +1,4 @@ +#define CRYPTO_SECRETKEYBYTES 64 +#define CRYPTO_PUBLICKEYBYTES 32 +#define CRYPTO_BYTES 64 +#define CRYPTO_DETERMINISTIC 1 diff --git a/jni/ed25519/base.h b/jni/ed25519/base.h new file mode 100644 index 00000000..573bd8a0 --- /dev/null +++ b/jni/ed25519/base.h @@ -0,0 +1,1344 @@ +{ + { + { 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 }, + { 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-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/jni/ed25519/d.h b/jni/ed25519/d.h new file mode 100644 index 00000000..e25f5783 --- /dev/null +++ b/jni/ed25519/d.h @@ -0,0 +1 @@ +-10913610,13857413,-15372611,6949391,114729,-8787816,-6275908,-3247719,-18696448,-12055116 diff --git a/jni/ed25519/d2.h b/jni/ed25519/d2.h new file mode 100644 index 00000000..01aaec75 --- /dev/null +++ b/jni/ed25519/d2.h @@ -0,0 +1 @@ +-21827239,-5839606,-30745221,13898782,229458,15978800,-12551817,-6495438,29715968,9444199 diff --git a/jni/ed25519/fe.h b/jni/ed25519/fe.h new file mode 100644 index 00000000..60c308ba --- /dev/null +++ b/jni/ed25519/fe.h @@ -0,0 +1,56 @@ +#ifndef FE_H +#define FE_H + +#include "crypto_int32.h" + +typedef crypto_int32 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. +*/ + +#define fe_frombytes crypto_sign_ed25519_ref10_fe_frombytes +#define fe_tobytes crypto_sign_ed25519_ref10_fe_tobytes +#define fe_copy crypto_sign_ed25519_ref10_fe_copy +#define fe_isnonzero crypto_sign_ed25519_ref10_fe_isnonzero +#define fe_isnegative crypto_sign_ed25519_ref10_fe_isnegative +#define fe_0 crypto_sign_ed25519_ref10_fe_0 +#define fe_1 crypto_sign_ed25519_ref10_fe_1 +#define fe_cswap crypto_sign_ed25519_ref10_fe_cswap +#define fe_cmov crypto_sign_ed25519_ref10_fe_cmov +#define fe_add crypto_sign_ed25519_ref10_fe_add +#define fe_sub crypto_sign_ed25519_ref10_fe_sub +#define fe_neg crypto_sign_ed25519_ref10_fe_neg +#define fe_mul crypto_sign_ed25519_ref10_fe_mul +#define fe_sq crypto_sign_ed25519_ref10_fe_sq +#define fe_sq2 crypto_sign_ed25519_ref10_fe_sq2 +#define fe_mul121666 crypto_sign_ed25519_ref10_fe_mul121666 +#define fe_invert crypto_sign_ed25519_ref10_fe_invert +#define fe_pow22523 crypto_sign_ed25519_ref10_fe_pow22523 + +extern void fe_frombytes(fe,const unsigned char *); +extern void fe_tobytes(unsigned char *,const fe); + +extern void fe_copy(fe,const fe); +extern int fe_isnonzero(const fe); +extern int fe_isnegative(const fe); +extern void fe_0(fe); +extern void fe_1(fe); +extern void fe_cswap(fe,fe,unsigned int); +extern void fe_cmov(fe,const fe,unsigned int); + +extern void fe_add(fe,const fe,const fe); +extern void fe_sub(fe,const fe,const fe); +extern void fe_neg(fe,const fe); +extern void fe_mul(fe,const fe,const fe); +extern void fe_sq(fe,const fe); +extern void fe_sq2(fe,const fe); +extern void fe_mul121666(fe,const fe); +extern void fe_invert(fe,const fe); +extern void fe_pow22523(fe,const fe); + +#endif diff --git a/jni/ed25519/fe_0.c b/jni/ed25519/fe_0.c new file mode 100644 index 00000000..ec879d73 --- /dev/null +++ b/jni/ed25519/fe_0.c @@ -0,0 +1,19 @@ +#include "fe.h" + +/* +h = 0 +*/ + +void fe_0(fe h) +{ + h[0] = 0; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} diff --git a/jni/ed25519/fe_1.c b/jni/ed25519/fe_1.c new file mode 100644 index 00000000..8cf77848 --- /dev/null +++ b/jni/ed25519/fe_1.c @@ -0,0 +1,19 @@ +#include "fe.h" + +/* +h = 1 +*/ + +void fe_1(fe h) +{ + h[0] = 1; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} diff --git a/jni/ed25519/fe_add.c b/jni/ed25519/fe_add.c new file mode 100644 index 00000000..e6a81da2 --- /dev/null +++ b/jni/ed25519/fe_add.c @@ -0,0 +1,57 @@ +#include "fe.h" + +/* +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. +*/ + +void fe_add(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 + g0; + crypto_int32 h1 = f1 + g1; + crypto_int32 h2 = f2 + g2; + crypto_int32 h3 = f3 + g3; + crypto_int32 h4 = f4 + g4; + crypto_int32 h5 = f5 + g5; + crypto_int32 h6 = f6 + g6; + crypto_int32 h7 = f7 + g7; + crypto_int32 h8 = f8 + g8; + crypto_int32 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; +} diff --git a/jni/ed25519/fe_cmov.c b/jni/ed25519/fe_cmov.c new file mode 100644 index 00000000..8ca584fb --- /dev/null +++ b/jni/ed25519/fe_cmov.c @@ -0,0 +1,63 @@ +#include "fe.h" + +/* +Replace (f,g) with (g,g) if b == 1; +replace (f,g) with (f,g) if b == 0. + +Preconditions: b in {0,1}. +*/ + +void fe_cmov(fe f,const fe g,unsigned int b) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 x0 = f0 ^ g0; + crypto_int32 x1 = f1 ^ g1; + crypto_int32 x2 = f2 ^ g2; + crypto_int32 x3 = f3 ^ g3; + crypto_int32 x4 = f4 ^ g4; + crypto_int32 x5 = f5 ^ g5; + crypto_int32 x6 = f6 ^ g6; + crypto_int32 x7 = f7 ^ g7; + crypto_int32 x8 = f8 ^ g8; + crypto_int32 x9 = f9 ^ g9; + b = -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; +} diff --git a/jni/ed25519/fe_copy.c b/jni/ed25519/fe_copy.c new file mode 100644 index 00000000..9c5bf865 --- /dev/null +++ b/jni/ed25519/fe_copy.c @@ -0,0 +1,29 @@ +#include "fe.h" + +/* +h = f +*/ + +void fe_copy(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 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; +} diff --git a/jni/ed25519/fe_frombytes.c b/jni/ed25519/fe_frombytes.c new file mode 100644 index 00000000..5c179174 --- /dev/null +++ b/jni/ed25519/fe_frombytes.c @@ -0,0 +1,73 @@ +#include "fe.h" +#include "crypto_int64.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +Ignores top bit of h. +*/ + +void fe_frombytes(fe h,const unsigned char *s) +{ + crypto_int64 h0 = load_4(s); + crypto_int64 h1 = load_3(s + 4) << 6; + crypto_int64 h2 = load_3(s + 7) << 5; + crypto_int64 h3 = load_3(s + 10) << 3; + crypto_int64 h4 = load_3(s + 13) << 2; + crypto_int64 h5 = load_4(s + 16); + crypto_int64 h6 = load_3(s + 20) << 7; + crypto_int64 h7 = load_3(s + 23) << 5; + crypto_int64 h8 = load_3(s + 26) << 4; + crypto_int64 h9 = (load_3(s + 29) & 8388607) << 2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + 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; +} diff --git a/jni/ed25519/fe_invert.c b/jni/ed25519/fe_invert.c new file mode 100644 index 00000000..bcfdb8ff --- /dev/null +++ b/jni/ed25519/fe_invert.c @@ -0,0 +1,14 @@ +#include "fe.h" + +void fe_invert(fe out,const fe z) +{ + fe t0; + fe t1; + fe t2; + fe t3; + int i; + +#include "pow225521.h" + + return; +} diff --git a/jni/ed25519/fe_isnegative.c b/jni/ed25519/fe_isnegative.c new file mode 100644 index 00000000..3b2c8b8d --- /dev/null +++ b/jni/ed25519/fe_isnegative.c @@ -0,0 +1,16 @@ +#include "fe.h" + +/* +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. +*/ + +int fe_isnegative(const fe f) +{ + unsigned char s[32]; + fe_tobytes(s,f); + return s[0] & 1; +} diff --git a/jni/ed25519/fe_isnonzero.c b/jni/ed25519/fe_isnonzero.c new file mode 100644 index 00000000..47568001 --- /dev/null +++ b/jni/ed25519/fe_isnonzero.c @@ -0,0 +1,19 @@ +#include "fe.h" +#include "crypto_verify_32.h" + +/* +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 const unsigned char zero[32]; + +int fe_isnonzero(const fe f) +{ + unsigned char s[32]; + fe_tobytes(s,f); + return crypto_verify_32(s,zero); +} diff --git a/jni/ed25519/fe_mul.c b/jni/ed25519/fe_mul.c new file mode 100644 index 00000000..26ca8b36 --- /dev/null +++ b/jni/ed25519/fe_mul.c @@ -0,0 +1,253 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +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. +*/ + +void fe_mul(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 g1_19 = 19 * g1; /* 1.959375*2^29 */ + crypto_int32 g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ + crypto_int32 g3_19 = 19 * g3; + crypto_int32 g4_19 = 19 * g4; + crypto_int32 g5_19 = 19 * g5; + crypto_int32 g6_19 = 19 * g6; + crypto_int32 g7_19 = 19 * g7; + crypto_int32 g8_19 = 19 * g8; + crypto_int32 g9_19 = 19 * g9; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f9_2 = 2 * f9; + crypto_int64 f0g0 = f0 * (crypto_int64) g0; + crypto_int64 f0g1 = f0 * (crypto_int64) g1; + crypto_int64 f0g2 = f0 * (crypto_int64) g2; + crypto_int64 f0g3 = f0 * (crypto_int64) g3; + crypto_int64 f0g4 = f0 * (crypto_int64) g4; + crypto_int64 f0g5 = f0 * (crypto_int64) g5; + crypto_int64 f0g6 = f0 * (crypto_int64) g6; + crypto_int64 f0g7 = f0 * (crypto_int64) g7; + crypto_int64 f0g8 = f0 * (crypto_int64) g8; + crypto_int64 f0g9 = f0 * (crypto_int64) g9; + crypto_int64 f1g0 = f1 * (crypto_int64) g0; + crypto_int64 f1g1_2 = f1_2 * (crypto_int64) g1; + crypto_int64 f1g2 = f1 * (crypto_int64) g2; + crypto_int64 f1g3_2 = f1_2 * (crypto_int64) g3; + crypto_int64 f1g4 = f1 * (crypto_int64) g4; + crypto_int64 f1g5_2 = f1_2 * (crypto_int64) g5; + crypto_int64 f1g6 = f1 * (crypto_int64) g6; + crypto_int64 f1g7_2 = f1_2 * (crypto_int64) g7; + crypto_int64 f1g8 = f1 * (crypto_int64) g8; + crypto_int64 f1g9_38 = f1_2 * (crypto_int64) g9_19; + crypto_int64 f2g0 = f2 * (crypto_int64) g0; + crypto_int64 f2g1 = f2 * (crypto_int64) g1; + crypto_int64 f2g2 = f2 * (crypto_int64) g2; + crypto_int64 f2g3 = f2 * (crypto_int64) g3; + crypto_int64 f2g4 = f2 * (crypto_int64) g4; + crypto_int64 f2g5 = f2 * (crypto_int64) g5; + crypto_int64 f2g6 = f2 * (crypto_int64) g6; + crypto_int64 f2g7 = f2 * (crypto_int64) g7; + crypto_int64 f2g8_19 = f2 * (crypto_int64) g8_19; + crypto_int64 f2g9_19 = f2 * (crypto_int64) g9_19; + crypto_int64 f3g0 = f3 * (crypto_int64) g0; + crypto_int64 f3g1_2 = f3_2 * (crypto_int64) g1; + crypto_int64 f3g2 = f3 * (crypto_int64) g2; + crypto_int64 f3g3_2 = f3_2 * (crypto_int64) g3; + crypto_int64 f3g4 = f3 * (crypto_int64) g4; + crypto_int64 f3g5_2 = f3_2 * (crypto_int64) g5; + crypto_int64 f3g6 = f3 * (crypto_int64) g6; + crypto_int64 f3g7_38 = f3_2 * (crypto_int64) g7_19; + crypto_int64 f3g8_19 = f3 * (crypto_int64) g8_19; + crypto_int64 f3g9_38 = f3_2 * (crypto_int64) g9_19; + crypto_int64 f4g0 = f4 * (crypto_int64) g0; + crypto_int64 f4g1 = f4 * (crypto_int64) g1; + crypto_int64 f4g2 = f4 * (crypto_int64) g2; + crypto_int64 f4g3 = f4 * (crypto_int64) g3; + crypto_int64 f4g4 = f4 * (crypto_int64) g4; + crypto_int64 f4g5 = f4 * (crypto_int64) g5; + crypto_int64 f4g6_19 = f4 * (crypto_int64) g6_19; + crypto_int64 f4g7_19 = f4 * (crypto_int64) g7_19; + crypto_int64 f4g8_19 = f4 * (crypto_int64) g8_19; + crypto_int64 f4g9_19 = f4 * (crypto_int64) g9_19; + crypto_int64 f5g0 = f5 * (crypto_int64) g0; + crypto_int64 f5g1_2 = f5_2 * (crypto_int64) g1; + crypto_int64 f5g2 = f5 * (crypto_int64) g2; + crypto_int64 f5g3_2 = f5_2 * (crypto_int64) g3; + crypto_int64 f5g4 = f5 * (crypto_int64) g4; + crypto_int64 f5g5_38 = f5_2 * (crypto_int64) g5_19; + crypto_int64 f5g6_19 = f5 * (crypto_int64) g6_19; + crypto_int64 f5g7_38 = f5_2 * (crypto_int64) g7_19; + crypto_int64 f5g8_19 = f5 * (crypto_int64) g8_19; + crypto_int64 f5g9_38 = f5_2 * (crypto_int64) g9_19; + crypto_int64 f6g0 = f6 * (crypto_int64) g0; + crypto_int64 f6g1 = f6 * (crypto_int64) g1; + crypto_int64 f6g2 = f6 * (crypto_int64) g2; + crypto_int64 f6g3 = f6 * (crypto_int64) g3; + crypto_int64 f6g4_19 = f6 * (crypto_int64) g4_19; + crypto_int64 f6g5_19 = f6 * (crypto_int64) g5_19; + crypto_int64 f6g6_19 = f6 * (crypto_int64) g6_19; + crypto_int64 f6g7_19 = f6 * (crypto_int64) g7_19; + crypto_int64 f6g8_19 = f6 * (crypto_int64) g8_19; + crypto_int64 f6g9_19 = f6 * (crypto_int64) g9_19; + crypto_int64 f7g0 = f7 * (crypto_int64) g0; + crypto_int64 f7g1_2 = f7_2 * (crypto_int64) g1; + crypto_int64 f7g2 = f7 * (crypto_int64) g2; + crypto_int64 f7g3_38 = f7_2 * (crypto_int64) g3_19; + crypto_int64 f7g4_19 = f7 * (crypto_int64) g4_19; + crypto_int64 f7g5_38 = f7_2 * (crypto_int64) g5_19; + crypto_int64 f7g6_19 = f7 * (crypto_int64) g6_19; + crypto_int64 f7g7_38 = f7_2 * (crypto_int64) g7_19; + crypto_int64 f7g8_19 = f7 * (crypto_int64) g8_19; + crypto_int64 f7g9_38 = f7_2 * (crypto_int64) g9_19; + crypto_int64 f8g0 = f8 * (crypto_int64) g0; + crypto_int64 f8g1 = f8 * (crypto_int64) g1; + crypto_int64 f8g2_19 = f8 * (crypto_int64) g2_19; + crypto_int64 f8g3_19 = f8 * (crypto_int64) g3_19; + crypto_int64 f8g4_19 = f8 * (crypto_int64) g4_19; + crypto_int64 f8g5_19 = f8 * (crypto_int64) g5_19; + crypto_int64 f8g6_19 = f8 * (crypto_int64) g6_19; + crypto_int64 f8g7_19 = f8 * (crypto_int64) g7_19; + crypto_int64 f8g8_19 = f8 * (crypto_int64) g8_19; + crypto_int64 f8g9_19 = f8 * (crypto_int64) g9_19; + crypto_int64 f9g0 = f9 * (crypto_int64) g0; + crypto_int64 f9g1_38 = f9_2 * (crypto_int64) g1_19; + crypto_int64 f9g2_19 = f9 * (crypto_int64) g2_19; + crypto_int64 f9g3_38 = f9_2 * (crypto_int64) g3_19; + crypto_int64 f9g4_19 = f9 * (crypto_int64) g4_19; + crypto_int64 f9g5_38 = f9_2 * (crypto_int64) g5_19; + crypto_int64 f9g6_19 = f9 * (crypto_int64) g6_19; + crypto_int64 f9g7_38 = f9_2 * (crypto_int64) g7_19; + crypto_int64 f9g8_19 = f9 * (crypto_int64) g8_19; + crypto_int64 f9g9_38 = f9_2 * (crypto_int64) g9_19; + crypto_int64 h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; + crypto_int64 h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; + crypto_int64 h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; + crypto_int64 h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; + crypto_int64 h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; + crypto_int64 h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; + crypto_int64 h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; + crypto_int64 h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; + crypto_int64 h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; + crypto_int64 h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 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 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + /* |h0| <= 2^25 */ + /* |h4| <= 2^25 */ + /* |h1| <= 1.71*2^59 */ + /* |h5| <= 1.71*2^59 */ + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + /* |h1| <= 2^24; from now on fits into int32 */ + /* |h5| <= 2^24; from now on fits into int32 */ + /* |h2| <= 1.41*2^60 */ + /* |h6| <= 1.41*2^60 */ + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + /* |h2| <= 2^25; from now on fits into int32 unchanged */ + /* |h6| <= 2^25; from now on fits into int32 unchanged */ + /* |h3| <= 1.71*2^59 */ + /* |h7| <= 1.71*2^59 */ + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + /* |h3| <= 2^24; from now on fits into int32 unchanged */ + /* |h7| <= 2^24; from now on fits into int32 unchanged */ + /* |h4| <= 1.72*2^34 */ + /* |h8| <= 1.41*2^60 */ + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + /* |h4| <= 2^25; from now on fits into int32 unchanged */ + /* |h8| <= 2^25; from now on fits into int32 unchanged */ + /* |h5| <= 1.01*2^24 */ + /* |h9| <= 1.71*2^59 */ + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + /* |h9| <= 2^24; from now on fits into int32 unchanged */ + /* |h0| <= 1.1*2^39 */ + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + /* |h0| <= 2^25; from now on fits into int32 unchanged */ + /* |h1| <= 1.01*2^24 */ + + 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; +} diff --git a/jni/ed25519/fe_neg.c b/jni/ed25519/fe_neg.c new file mode 100644 index 00000000..2078ce52 --- /dev/null +++ b/jni/ed25519/fe_neg.c @@ -0,0 +1,45 @@ +#include "fe.h" + +/* +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. +*/ + +void fe_neg(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 h0 = -f0; + crypto_int32 h1 = -f1; + crypto_int32 h2 = -f2; + crypto_int32 h3 = -f3; + crypto_int32 h4 = -f4; + crypto_int32 h5 = -f5; + crypto_int32 h6 = -f6; + crypto_int32 h7 = -f7; + crypto_int32 h8 = -f8; + crypto_int32 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; +} diff --git a/jni/ed25519/fe_pow22523.c b/jni/ed25519/fe_pow22523.c new file mode 100644 index 00000000..56675a59 --- /dev/null +++ b/jni/ed25519/fe_pow22523.c @@ -0,0 +1,13 @@ +#include "fe.h" + +void fe_pow22523(fe out,const fe z) +{ + fe t0; + fe t1; + fe t2; + int i; + +#include "pow22523.h" + + return; +} diff --git a/jni/ed25519/fe_sq.c b/jni/ed25519/fe_sq.c new file mode 100644 index 00000000..8dd11984 --- /dev/null +++ b/jni/ed25519/fe_sq.c @@ -0,0 +1,149 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +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. +*/ + +void fe_sq(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 f0_2 = 2 * f0; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f2_2 = 2 * f2; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f4_2 = 2 * f4; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f6_2 = 2 * f6; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ + crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ + crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ + crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ + crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ + crypto_int64 f0f0 = f0 * (crypto_int64) f0; + crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; + crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; + crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; + crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; + crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; + crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; + crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; + crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; + crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; + crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; + crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; + crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; + crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; + crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; + crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; + crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; + crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; + crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; + crypto_int64 f2f2 = f2 * (crypto_int64) f2; + crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; + crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; + crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; + crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; + crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; + crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; + crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; + crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; + crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; + crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; + crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; + crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; + crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; + crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; + crypto_int64 f4f4 = f4 * (crypto_int64) f4; + crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; + crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; + crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; + crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; + crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; + crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; + crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; + crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; + crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; + crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; + crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; + crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; + crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; + crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; + crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; + crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; + crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; + crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; + crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; + crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; + crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + 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; +} diff --git a/jni/ed25519/fe_sq2.c b/jni/ed25519/fe_sq2.c new file mode 100644 index 00000000..026ed3aa --- /dev/null +++ b/jni/ed25519/fe_sq2.c @@ -0,0 +1,160 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +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. +*/ + +void fe_sq2(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 f0_2 = 2 * f0; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f2_2 = 2 * f2; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f4_2 = 2 * f4; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f6_2 = 2 * f6; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ + crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ + crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ + crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ + crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ + crypto_int64 f0f0 = f0 * (crypto_int64) f0; + crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; + crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; + crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; + crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; + crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; + crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; + crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; + crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; + crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; + crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; + crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; + crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; + crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; + crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; + crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; + crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; + crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; + crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; + crypto_int64 f2f2 = f2 * (crypto_int64) f2; + crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; + crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; + crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; + crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; + crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; + crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; + crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; + crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; + crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; + crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; + crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; + crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; + crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; + crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; + crypto_int64 f4f4 = f4 * (crypto_int64) f4; + crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; + crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; + crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; + crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; + crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; + crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; + crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; + crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; + crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; + crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; + crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; + crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; + crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; + crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; + crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; + crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; + crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; + crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; + crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; + crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; + crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + h0 += h0; + h1 += h1; + h2 += h2; + h3 += h3; + h4 += h4; + h5 += h5; + h6 += h6; + h7 += h7; + h8 += h8; + h9 += h9; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + 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; +} diff --git a/jni/ed25519/fe_sub.c b/jni/ed25519/fe_sub.c new file mode 100644 index 00000000..6e26b7df --- /dev/null +++ b/jni/ed25519/fe_sub.c @@ -0,0 +1,57 @@ +#include "fe.h" + +/* +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. +*/ + +void fe_sub(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 - g0; + crypto_int32 h1 = f1 - g1; + crypto_int32 h2 = f2 - g2; + crypto_int32 h3 = f3 - g3; + crypto_int32 h4 = f4 - g4; + crypto_int32 h5 = f5 - g5; + crypto_int32 h6 = f6 - g6; + crypto_int32 h7 = f7 - g7; + crypto_int32 h8 = f8 - g8; + crypto_int32 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; +} diff --git a/jni/ed25519/fe_tobytes.c b/jni/ed25519/fe_tobytes.c new file mode 100644 index 00000000..0a63baf9 --- /dev/null +++ b/jni/ed25519/fe_tobytes.c @@ -0,0 +1,119 @@ +#include "fe.h" + +/* +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. +*/ + +void fe_tobytes(unsigned char *s,const fe h) +{ + crypto_int32 h0 = h[0]; + crypto_int32 h1 = h[1]; + crypto_int32 h2 = h[2]; + crypto_int32 h3 = h[3]; + crypto_int32 h4 = h[4]; + crypto_int32 h5 = h[5]; + crypto_int32 h6 = h[6]; + crypto_int32 h7 = h[7]; + crypto_int32 h8 = h[8]; + crypto_int32 h9 = h[9]; + crypto_int32 q; + crypto_int32 carry0; + crypto_int32 carry1; + crypto_int32 carry2; + crypto_int32 carry3; + crypto_int32 carry4; + crypto_int32 carry5; + crypto_int32 carry6; + crypto_int32 carry7; + crypto_int32 carry8; + crypto_int32 carry9; + + q = (19 * h9 + (((crypto_int32) 1) << 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 << 26; + carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25; + carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26; + carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25; + carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26; + carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25; + carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26; + carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25; + carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26; + carry9 = h9 >> 25; h9 -= carry9 << 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 << 2); + s[4] = h1 >> 6; + s[5] = h1 >> 14; + s[6] = (h1 >> 22) | (h2 << 3); + s[7] = h2 >> 5; + s[8] = h2 >> 13; + s[9] = (h2 >> 21) | (h3 << 5); + s[10] = h3 >> 3; + s[11] = h3 >> 11; + s[12] = (h3 >> 19) | (h4 << 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 << 1); + s[20] = h6 >> 7; + s[21] = h6 >> 15; + s[22] = (h6 >> 23) | (h7 << 3); + s[23] = h7 >> 5; + s[24] = h7 >> 13; + s[25] = (h7 >> 21) | (h8 << 4); + s[26] = h8 >> 4; + s[27] = h8 >> 12; + s[28] = (h8 >> 20) | (h9 << 6); + s[29] = h9 >> 2; + s[30] = h9 >> 10; + s[31] = h9 >> 18; +} diff --git a/jni/ed25519/ge.h b/jni/ed25519/ge.h new file mode 100644 index 00000000..55e95f95 --- /dev/null +++ b/jni/ed25519/ge.h @@ -0,0 +1,95 @@ +#ifndef GE_H +#define GE_H + +/* +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) +*/ + +#include "fe.h" + +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; + +#define ge_frombytes_negate_vartime crypto_sign_ed25519_ref10_ge_frombytes_negate_vartime +#define ge_tobytes crypto_sign_ed25519_ref10_ge_tobytes +#define ge_p3_tobytes crypto_sign_ed25519_ref10_ge_p3_tobytes + +#define ge_p2_0 crypto_sign_ed25519_ref10_ge_p2_0 +#define ge_p3_0 crypto_sign_ed25519_ref10_ge_p3_0 +#define ge_precomp_0 crypto_sign_ed25519_ref10_ge_precomp_0 +#define ge_p3_to_p2 crypto_sign_ed25519_ref10_ge_p3_to_p2 +#define ge_p3_to_cached crypto_sign_ed25519_ref10_ge_p3_to_cached +#define ge_p1p1_to_p2 crypto_sign_ed25519_ref10_ge_p1p1_to_p2 +#define ge_p1p1_to_p3 crypto_sign_ed25519_ref10_ge_p1p1_to_p3 +#define ge_p2_dbl crypto_sign_ed25519_ref10_ge_p2_dbl +#define ge_p3_dbl crypto_sign_ed25519_ref10_ge_p3_dbl + +#define ge_madd crypto_sign_ed25519_ref10_ge_madd +#define ge_msub crypto_sign_ed25519_ref10_ge_msub +#define ge_add crypto_sign_ed25519_ref10_ge_add +#define ge_sub crypto_sign_ed25519_ref10_ge_sub +#define ge_scalarmult_base crypto_sign_ed25519_ref10_ge_scalarmult_base +#define ge_double_scalarmult_vartime crypto_sign_ed25519_ref10_ge_double_scalarmult_vartime + +extern void ge_tobytes(unsigned char *,const ge_p2 *); +extern void ge_p3_tobytes(unsigned char *,const ge_p3 *); +extern int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *); + +extern void ge_p2_0(ge_p2 *); +extern void ge_p3_0(ge_p3 *); +extern void ge_precomp_0(ge_precomp *); +extern void ge_p3_to_p2(ge_p2 *,const ge_p3 *); +extern void ge_p3_to_cached(ge_cached *,const ge_p3 *); +extern void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *); +extern void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *); +extern void ge_p2_dbl(ge_p1p1 *,const ge_p2 *); +extern void ge_p3_dbl(ge_p1p1 *,const ge_p3 *); + +extern void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *); +extern void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *); +extern void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *); +extern void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *); +extern void ge_scalarmult_base(ge_p3 *,const unsigned char *); +extern void ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *,const ge_p3 *,const unsigned char *); + +#endif diff --git a/jni/ed25519/ge_add.c b/jni/ed25519/ge_add.c new file mode 100644 index 00000000..da7ff5d2 --- /dev/null +++ b/jni/ed25519/ge_add.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p + q +*/ + +void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; +#include "ge_add.h" +} diff --git a/jni/ed25519/ge_add.h b/jni/ed25519/ge_add.h new file mode 100644 index 00000000..7481f8ff --- /dev/null +++ b/jni/ed25519/ge_add.h @@ -0,0 +1,97 @@ + +/* qhasm: enter ge_add */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe Z2 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ZZ */ + +/* qhasm: fe YpX2 */ + +/* qhasm: fe YmX2 */ + +/* qhasm: fe T2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*YpX2 */ +/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<YpX2=fe#15); */ +/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<YpX2=q->YplusX); */ +fe_mul(r->Z,r->X,q->YplusX); + +/* qhasm: B = YmX1*YmX2 */ +/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<YmX2=fe#16); */ +/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<YmX2=q->YminusX); */ +fe_mul(r->Y,r->Y,q->YminusX); + +/* qhasm: C = T2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */ +/* asm 2: fe_mul(>C=r->T,<T2d2=q->T2d,<T1=p->T); */ +fe_mul(r->T,q->T2d,p->T); + +/* qhasm: ZZ = Z1*Z2 */ +/* asm 1: fe_mul(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */ +/* asm 2: fe_mul(>ZZ=r->X,<Z1=p->Z,<Z2=q->Z); */ +fe_mul(r->X,p->Z,q->Z); + +/* qhasm: D = 2*ZZ */ +/* asm 1: fe_add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */ +/* asm 2: fe_add(>D=t0,<ZZ=r->X,<ZZ=r->X); */ +fe_add(t0,r->X,r->X); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D+C */ +/* asm 1: fe_add(>Z3=fe#3,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_add(>Z3=r->Z,<D=t0,<C=r->T); */ +fe_add(r->Z,t0,r->T); + +/* qhasm: T3 = D-C */ +/* asm 1: fe_sub(>T3=fe#4,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_sub(>T3=r->T,<D=t0,<C=r->T); */ +fe_sub(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/jni/ed25519/ge_double_scalarmult.c b/jni/ed25519/ge_double_scalarmult.c new file mode 100644 index 00000000..f8bf4bf7 --- /dev/null +++ b/jni/ed25519/ge_double_scalarmult.c @@ -0,0 +1,96 @@ +#include "ge.h" + +static void slide(signed char *r,const unsigned char *a) +{ + int i; + int b; + int 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 ge_precomp Bi[8] = { +#include "base2.h" +} ; + +/* +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 unsigned char *a,const ge_p3 *A,const unsigned char *b) +{ + signed char aslide[256]; + signed char bslide[256]; + ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */ + ge_p1p1 t; + ge_p3 u; + ge_p3 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); + } +} diff --git a/jni/ed25519/ge_frombytes.c b/jni/ed25519/ge_frombytes.c new file mode 100644 index 00000000..1a059ee9 --- /dev/null +++ b/jni/ed25519/ge_frombytes.c @@ -0,0 +1,50 @@ +#include "ge.h" + +static const fe d = { +#include "d.h" +} ; + +static const fe sqrtm1 = { +#include "sqrtm1.h" +} ; + +int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s) +{ + fe u; + fe v; + fe v3; + fe vxx; + fe 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; +} diff --git a/jni/ed25519/ge_madd.c b/jni/ed25519/ge_madd.c new file mode 100644 index 00000000..62257177 --- /dev/null +++ b/jni/ed25519/ge_madd.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p + q +*/ + +void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) +{ + fe t0; +#include "ge_madd.h" +} diff --git a/jni/ed25519/ge_madd.h b/jni/ed25519/ge_madd.h new file mode 100644 index 00000000..ecae8495 --- /dev/null +++ b/jni/ed25519/ge_madd.h @@ -0,0 +1,88 @@ + +/* qhasm: enter ge_madd */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ypx2 */ + +/* qhasm: fe ymx2 */ + +/* qhasm: fe xy2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*ypx2 */ +/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<ypx2=fe#15); */ +/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<ypx2=q->yplusx); */ +fe_mul(r->Z,r->X,q->yplusx); + +/* qhasm: B = YmX1*ymx2 */ +/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<ymx2=fe#16); */ +/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<ymx2=q->yminusx); */ +fe_mul(r->Y,r->Y,q->yminusx); + +/* qhasm: C = xy2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,<xy2d2=fe#17,<T1=fe#14); */ +/* asm 2: fe_mul(>C=r->T,<xy2d2=q->xy2d,<T1=p->T); */ +fe_mul(r->T,q->xy2d,p->T); + +/* qhasm: D = 2*Z1 */ +/* asm 1: fe_add(>D=fe#5,<Z1=fe#13,<Z1=fe#13); */ +/* asm 2: fe_add(>D=t0,<Z1=p->Z,<Z1=p->Z); */ +fe_add(t0,p->Z,p->Z); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D+C */ +/* asm 1: fe_add(>Z3=fe#3,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_add(>Z3=r->Z,<D=t0,<C=r->T); */ +fe_add(r->Z,t0,r->T); + +/* qhasm: T3 = D-C */ +/* asm 1: fe_sub(>T3=fe#4,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_sub(>T3=r->T,<D=t0,<C=r->T); */ +fe_sub(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/jni/ed25519/ge_msub.c b/jni/ed25519/ge_msub.c new file mode 100644 index 00000000..741ecbf1 --- /dev/null +++ b/jni/ed25519/ge_msub.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p - q +*/ + +void ge_msub(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) +{ + fe t0; +#include "ge_msub.h" +} diff --git a/jni/ed25519/ge_msub.h b/jni/ed25519/ge_msub.h new file mode 100644 index 00000000..500f986b --- /dev/null +++ b/jni/ed25519/ge_msub.h @@ -0,0 +1,88 @@ + +/* qhasm: enter ge_msub */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ypx2 */ + +/* qhasm: fe ymx2 */ + +/* qhasm: fe xy2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*ymx2 */ +/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<ymx2=fe#16); */ +/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<ymx2=q->yminusx); */ +fe_mul(r->Z,r->X,q->yminusx); + +/* qhasm: B = YmX1*ypx2 */ +/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<ypx2=fe#15); */ +/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<ypx2=q->yplusx); */ +fe_mul(r->Y,r->Y,q->yplusx); + +/* qhasm: C = xy2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,<xy2d2=fe#17,<T1=fe#14); */ +/* asm 2: fe_mul(>C=r->T,<xy2d2=q->xy2d,<T1=p->T); */ +fe_mul(r->T,q->xy2d,p->T); + +/* qhasm: D = 2*Z1 */ +/* asm 1: fe_add(>D=fe#5,<Z1=fe#13,<Z1=fe#13); */ +/* asm 2: fe_add(>D=t0,<Z1=p->Z,<Z1=p->Z); */ +fe_add(t0,p->Z,p->Z); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D-C */ +/* asm 1: fe_sub(>Z3=fe#3,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_sub(>Z3=r->Z,<D=t0,<C=r->T); */ +fe_sub(r->Z,t0,r->T); + +/* qhasm: T3 = D+C */ +/* asm 1: fe_add(>T3=fe#4,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_add(>T3=r->T,<D=t0,<C=r->T); */ +fe_add(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/jni/ed25519/ge_p1p1_to_p2.c b/jni/ed25519/ge_p1p1_to_p2.c new file mode 100644 index 00000000..9bb5013d --- /dev/null +++ b/jni/ed25519/ge_p1p1_to_p2.c @@ -0,0 +1,12 @@ +#include "ge.h" + +/* +r = p +*/ + +extern 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); +} diff --git a/jni/ed25519/ge_p1p1_to_p3.c b/jni/ed25519/ge_p1p1_to_p3.c new file mode 100644 index 00000000..2f57b109 --- /dev/null +++ b/jni/ed25519/ge_p1p1_to_p3.c @@ -0,0 +1,13 @@ +#include "ge.h" + +/* +r = p +*/ + +extern 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); +} diff --git a/jni/ed25519/ge_p2_0.c b/jni/ed25519/ge_p2_0.c new file mode 100644 index 00000000..6191d1e6 --- /dev/null +++ b/jni/ed25519/ge_p2_0.c @@ -0,0 +1,8 @@ +#include "ge.h" + +void ge_p2_0(ge_p2 *h) +{ + fe_0(h->X); + fe_1(h->Y); + fe_1(h->Z); +} diff --git a/jni/ed25519/ge_p2_dbl.c b/jni/ed25519/ge_p2_dbl.c new file mode 100644 index 00000000..2e332b5c --- /dev/null +++ b/jni/ed25519/ge_p2_dbl.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = 2 * p +*/ + +void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p) +{ + fe t0; +#include "ge_p2_dbl.h" +} diff --git a/jni/ed25519/ge_p2_dbl.h b/jni/ed25519/ge_p2_dbl.h new file mode 100644 index 00000000..128efed9 --- /dev/null +++ b/jni/ed25519/ge_p2_dbl.h @@ -0,0 +1,73 @@ + +/* qhasm: enter ge_p2_dbl */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe A */ + +/* qhasm: fe AA */ + +/* qhasm: fe XX */ + +/* qhasm: fe YY */ + +/* qhasm: fe B */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: XX=X1^2 */ +/* asm 1: fe_sq(>XX=fe#1,<X1=fe#11); */ +/* asm 2: fe_sq(>XX=r->X,<X1=p->X); */ +fe_sq(r->X,p->X); + +/* qhasm: YY=Y1^2 */ +/* asm 1: fe_sq(>YY=fe#3,<Y1=fe#12); */ +/* asm 2: fe_sq(>YY=r->Z,<Y1=p->Y); */ +fe_sq(r->Z,p->Y); + +/* qhasm: B=2*Z1^2 */ +/* asm 1: fe_sq2(>B=fe#4,<Z1=fe#13); */ +/* asm 2: fe_sq2(>B=r->T,<Z1=p->Z); */ +fe_sq2(r->T,p->Z); + +/* qhasm: A=X1+Y1 */ +/* asm 1: fe_add(>A=fe#2,<X1=fe#11,<Y1=fe#12); */ +/* asm 2: fe_add(>A=r->Y,<X1=p->X,<Y1=p->Y); */ +fe_add(r->Y,p->X,p->Y); + +/* qhasm: AA=A^2 */ +/* asm 1: fe_sq(>AA=fe#5,<A=fe#2); */ +/* asm 2: fe_sq(>AA=t0,<A=r->Y); */ +fe_sq(t0,r->Y); + +/* qhasm: Y3=YY+XX */ +/* asm 1: fe_add(>Y3=fe#2,<YY=fe#3,<XX=fe#1); */ +/* asm 2: fe_add(>Y3=r->Y,<YY=r->Z,<XX=r->X); */ +fe_add(r->Y,r->Z,r->X); + +/* qhasm: Z3=YY-XX */ +/* asm 1: fe_sub(>Z3=fe#3,<YY=fe#3,<XX=fe#1); */ +/* asm 2: fe_sub(>Z3=r->Z,<YY=r->Z,<XX=r->X); */ +fe_sub(r->Z,r->Z,r->X); + +/* qhasm: X3=AA-Y3 */ +/* asm 1: fe_sub(>X3=fe#1,<AA=fe#5,<Y3=fe#2); */ +/* asm 2: fe_sub(>X3=r->X,<AA=t0,<Y3=r->Y); */ +fe_sub(r->X,t0,r->Y); + +/* qhasm: T3=B-Z3 */ +/* asm 1: fe_sub(>T3=fe#4,<B=fe#4,<Z3=fe#3); */ +/* asm 2: fe_sub(>T3=r->T,<B=r->T,<Z3=r->Z); */ +fe_sub(r->T,r->T,r->Z); + +/* qhasm: return */ diff --git a/jni/ed25519/ge_p3_0.c b/jni/ed25519/ge_p3_0.c new file mode 100644 index 00000000..401b2935 --- /dev/null +++ b/jni/ed25519/ge_p3_0.c @@ -0,0 +1,9 @@ +#include "ge.h" + +void ge_p3_0(ge_p3 *h) +{ + fe_0(h->X); + fe_1(h->Y); + fe_1(h->Z); + fe_0(h->T); +} diff --git a/jni/ed25519/ge_p3_dbl.c b/jni/ed25519/ge_p3_dbl.c new file mode 100644 index 00000000..0d8a0591 --- /dev/null +++ b/jni/ed25519/ge_p3_dbl.c @@ -0,0 +1,12 @@ +#include "ge.h" + +/* +r = 2 * p +*/ + +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); +} diff --git a/jni/ed25519/ge_p3_to_cached.c b/jni/ed25519/ge_p3_to_cached.c new file mode 100644 index 00000000..bde64228 --- /dev/null +++ b/jni/ed25519/ge_p3_to_cached.c @@ -0,0 +1,17 @@ +#include "ge.h" + +/* +r = p +*/ + +static const fe d2 = { +#include "d2.h" +} ; + +extern 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); +} diff --git a/jni/ed25519/ge_p3_to_p2.c b/jni/ed25519/ge_p3_to_p2.c new file mode 100644 index 00000000..e532a9e4 --- /dev/null +++ b/jni/ed25519/ge_p3_to_p2.c @@ -0,0 +1,12 @@ +#include "ge.h" + +/* +r = p +*/ + +extern 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); +} diff --git a/jni/ed25519/ge_p3_tobytes.c b/jni/ed25519/ge_p3_tobytes.c new file mode 100644 index 00000000..21cb2fc6 --- /dev/null +++ b/jni/ed25519/ge_p3_tobytes.c @@ -0,0 +1,14 @@ +#include "ge.h" + +void ge_p3_tobytes(unsigned char *s,const ge_p3 *h) +{ + fe recip; + fe x; + fe 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; +} diff --git a/jni/ed25519/ge_precomp_0.c b/jni/ed25519/ge_precomp_0.c new file mode 100644 index 00000000..2e218861 --- /dev/null +++ b/jni/ed25519/ge_precomp_0.c @@ -0,0 +1,8 @@ +#include "ge.h" + +void ge_precomp_0(ge_precomp *h) +{ + fe_1(h->yplusx); + fe_1(h->yminusx); + fe_0(h->xy2d); +} diff --git a/jni/ed25519/ge_scalarmult_base.c b/jni/ed25519/ge_scalarmult_base.c new file mode 100644 index 00000000..421e4fa0 --- /dev/null +++ b/jni/ed25519/ge_scalarmult_base.c @@ -0,0 +1,105 @@ +#include "ge.h" +#include "crypto_uint32.h" + +static unsigned char equal(signed char b,signed char c) +{ + unsigned char ub = b; + unsigned char uc = c; + unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ + crypto_uint32 y = x; /* 0: yes; 1..255: no */ + y -= 1; /* 4294967295: yes; 0..254: no */ + y >>= 31; /* 1: yes; 0: no */ + return y; +} + +static unsigned char negative(signed char b) +{ + unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ + x >>= 63; /* 1: yes; 0: no */ + return x; +} + +static void cmov(ge_precomp *t,ge_precomp *u,unsigned char 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 ge_precomp base[32][8] = { +#include "base.h" +} ; + +static void select(ge_precomp *t,int pos,signed char b) +{ + ge_precomp minust; + unsigned char bnegative = negative(b); + unsigned char babs = b - (((-bnegative) & b) << 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); +} + +/* +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 +*/ + +void ge_scalarmult_base(ge_p3 *h,const unsigned char *a) +{ + signed char e[64]; + signed char carry; + 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 */ + + carry = 0; + for (i = 0;i < 63;++i) { + e[i] += carry; + carry = e[i] + 8; + carry >>= 4; + e[i] -= carry << 4; + } + e[63] += carry; + /* each e[i] is between -8 and 8 */ + + ge_p3_0(h); + for (i = 1;i < 64;i += 2) { + 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) { + select(&t,i / 2,e[i]); + ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); + } +} diff --git a/jni/ed25519/ge_sub.c b/jni/ed25519/ge_sub.c new file mode 100644 index 00000000..69f3d540 --- /dev/null +++ b/jni/ed25519/ge_sub.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p - q +*/ + +void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; +#include "ge_sub.h" +} diff --git a/jni/ed25519/ge_sub.h b/jni/ed25519/ge_sub.h new file mode 100644 index 00000000..b4ef1f5d --- /dev/null +++ b/jni/ed25519/ge_sub.h @@ -0,0 +1,97 @@ + +/* qhasm: enter ge_sub */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe Z2 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ZZ */ + +/* qhasm: fe YpX2 */ + +/* qhasm: fe YmX2 */ + +/* qhasm: fe T2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*YmX2 */ +/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<YmX2=fe#16); */ +/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<YmX2=q->YminusX); */ +fe_mul(r->Z,r->X,q->YminusX); + +/* qhasm: B = YmX1*YpX2 */ +/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<YpX2=fe#15); */ +/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<YpX2=q->YplusX); */ +fe_mul(r->Y,r->Y,q->YplusX); + +/* qhasm: C = T2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */ +/* asm 2: fe_mul(>C=r->T,<T2d2=q->T2d,<T1=p->T); */ +fe_mul(r->T,q->T2d,p->T); + +/* qhasm: ZZ = Z1*Z2 */ +/* asm 1: fe_mul(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */ +/* asm 2: fe_mul(>ZZ=r->X,<Z1=p->Z,<Z2=q->Z); */ +fe_mul(r->X,p->Z,q->Z); + +/* qhasm: D = 2*ZZ */ +/* asm 1: fe_add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */ +/* asm 2: fe_add(>D=t0,<ZZ=r->X,<ZZ=r->X); */ +fe_add(t0,r->X,r->X); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D-C */ +/* asm 1: fe_sub(>Z3=fe#3,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_sub(>Z3=r->Z,<D=t0,<C=r->T); */ +fe_sub(r->Z,t0,r->T); + +/* qhasm: T3 = D+C */ +/* asm 1: fe_add(>T3=fe#4,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_add(>T3=r->T,<D=t0,<C=r->T); */ +fe_add(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/jni/ed25519/ge_tobytes.c b/jni/ed25519/ge_tobytes.c new file mode 100644 index 00000000..31b3d33e --- /dev/null +++ b/jni/ed25519/ge_tobytes.c @@ -0,0 +1,14 @@ +#include "ge.h" + +void ge_tobytes(unsigned char *s,const ge_p2 *h) +{ + fe recip; + fe x; + fe 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; +} diff --git a/jni/ed25519/main/main.c b/jni/ed25519/main/main.c new file mode 100644 index 00000000..5fbe3995 --- /dev/null +++ b/jni/ed25519/main/main.c @@ -0,0 +1,106 @@ +#include <stdio.h> +#include <string.h> +#include "crypto_hash_sha512.h" +#include "curve_sigs.h" + +#define MSG_LEN 200 + +int main(int argc, char* argv[]) +{ + unsigned char privkey[32]; + unsigned char pubkey[32]; + unsigned char signature[64]; + unsigned char msg[MSG_LEN]; + unsigned char random[64]; + + /* Initialize pubkey, privkey, msg */ + memset(msg, 0, MSG_LEN); + memset(privkey, 0, 32); + memset(pubkey, 0, 32); + privkey[0] &= 248; + privkey[31] &= 63; + privkey[31] |= 64; + + privkey[8] = 189; /* just so there's some bits set */ + + + /* SHA512 test */ + unsigned char sha512_input[112] = "abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmnoijklmnopjklmnopqklmnopqrlmnopqrsmnopqrstnopqrstu"; + unsigned char sha512_correct_output[64] = +{ +0x8E, 0x95, 0x9B, 0x75, 0xDA, 0xE3, 0x13, 0xDA, +0x8C, 0xF4, 0xF7, 0x28, 0x14, 0xFC, 0x14, 0x3F, +0x8F, 0x77, 0x79, 0xC6, 0xEB, 0x9F, 0x7F, 0xA1, +0x72, 0x99, 0xAE, 0xAD, 0xB6, 0x88, 0x90, 0x18, +0x50, 0x1D, 0x28, 0x9E, 0x49, 0x00, 0xF7, 0xE4, +0x33, 0x1B, 0x99, 0xDE, 0xC4, 0xB5, 0x43, 0x3A, +0xC7, 0xD3, 0x29, 0xEE, 0xB6, 0xDD, 0x26, 0x54, +0x5E, 0x96, 0xE5, 0x5B, 0x87, 0x4B, 0xE9, 0x09 +}; + unsigned char sha512_actual_output[64]; + + crypto_hash_sha512(sha512_actual_output, sha512_input, sizeof(sha512_input)); + if (memcmp(sha512_actual_output, sha512_correct_output, 64) != 0) + printf("SHA512 bad #1\n"); + else + printf("SHA512 good #1\n"); + + sha512_input[111] ^= 1; + + crypto_hash_sha512(sha512_actual_output, sha512_input, sizeof(sha512_input)); + if (memcmp(sha512_actual_output, sha512_correct_output, 64) != 0) + printf("SHA512 good #2\n"); + else + printf("SHA512 bad #2\n"); + + /* Signature test */ + curve25519_keygen(pubkey, privkey); + + curve25519_sign(signature, privkey, msg, MSG_LEN, random); + + if (curve25519_verify(signature, pubkey, msg, MSG_LEN) == 0) + printf("Signature good #1\n"); + else + printf("Signature bad #1\n"); + + signature[0] ^= 1; + + if (curve25519_verify(signature, pubkey, msg, MSG_LEN) == 0) + printf("Signature bad #2\n"); + else + printf("Signature good #2\n"); + + + printf("Random testing...\n"); + for (int count = 0; count < 10000; count++) { + unsigned char b[64]; + crypto_hash_sha512(b, privkey, 32); + memmove(privkey, b, 32); + crypto_hash_sha512(b, privkey, 32); + memmove(random, b, 64); + + privkey[0] &= 248; + privkey[31] &= 63; + privkey[31] |= 64; + + curve25519_keygen(pubkey, privkey); + + curve25519_sign(signature, privkey, msg, MSG_LEN, random); + + if (curve25519_verify(signature, pubkey, msg, MSG_LEN) != 0) { + printf("failure #1 %d\n", count); + return -1; + } + + if (b[63] & 1) + signature[count % 64] ^= 1; + else + msg[count % MSG_LEN] ^= 1; + if (curve25519_verify(signature, pubkey, msg, MSG_LEN) == 0) { + printf("failure #2 %d\n", count); + return -1; + } + } + printf("OK\n"); + return 1; +} diff --git a/jni/ed25519/nacl_includes/crypto_int32.h b/jni/ed25519/nacl_includes/crypto_int32.h new file mode 100644 index 00000000..cae135e6 --- /dev/null +++ b/jni/ed25519/nacl_includes/crypto_int32.h @@ -0,0 +1,6 @@ +#ifndef crypto_int32_h +#define crypto_int32_h + +typedef int crypto_int32; + +#endif diff --git a/jni/ed25519/nacl_includes/crypto_int64.h b/jni/ed25519/nacl_includes/crypto_int64.h new file mode 100644 index 00000000..fc92417b --- /dev/null +++ b/jni/ed25519/nacl_includes/crypto_int64.h @@ -0,0 +1,6 @@ +#ifndef crypto_int64_h +#define crypto_int64_h + +typedef long long crypto_int64; + +#endif diff --git a/jni/ed25519/nacl_includes/crypto_sign.h b/jni/ed25519/nacl_includes/crypto_sign.h new file mode 100644 index 00000000..8472603e --- /dev/null +++ b/jni/ed25519/nacl_includes/crypto_sign.h @@ -0,0 +1,16 @@ +#ifndef crypto_sign_H +#define crypto_sign_H + +#include "crypto_sign_edwards25519sha512batch.h" + +#define crypto_sign crypto_sign_edwards25519sha512batch +#define crypto_sign_open crypto_sign_edwards25519sha512batch_open +#define crypto_sign_keypair crypto_sign_edwards25519sha512batch_keypair +#define crypto_sign_BYTES crypto_sign_edwards25519sha512batch_BYTES +#define crypto_sign_PUBLICKEYBYTES crypto_sign_edwards25519sha512batch_PUBLICKEYBYTES +#define crypto_sign_SECRETKEYBYTES crypto_sign_edwards25519sha512batch_SECRETKEYBYTES +#define crypto_sign_PRIMITIVE "edwards25519sha512batch" +#define crypto_sign_IMPLEMENTATION crypto_sign_edwards25519sha512batch_IMPLEMENTATION +#define crypto_sign_VERSION crypto_sign_edwards25519sha512batch_VERSION + +#endif diff --git a/jni/ed25519/nacl_includes/crypto_sign_edwards25519sha512batch.h b/jni/ed25519/nacl_includes/crypto_sign_edwards25519sha512batch.h new file mode 100644 index 00000000..62fae611 --- /dev/null +++ b/jni/ed25519/nacl_includes/crypto_sign_edwards25519sha512batch.h @@ -0,0 +1,33 @@ +#ifndef crypto_sign_edwards25519sha512batch_H +#define crypto_sign_edwards25519sha512batch_H + +#define crypto_sign_edwards25519sha512batch_ref10_SECRETKEYBYTES 64 +#define crypto_sign_edwards25519sha512batch_ref10_PUBLICKEYBYTES 32 +#define crypto_sign_edwards25519sha512batch_ref10_BYTES 64 +#ifdef __cplusplus +#include <string> +extern std::string crypto_sign_edwards25519sha512batch_ref10(const std::string &,const std::string &); +extern std::string crypto_sign_edwards25519sha512batch_ref10_open(const std::string &,const std::string &); +extern std::string crypto_sign_edwards25519sha512batch_ref10_keypair(std::string *); +extern "C" { +#endif +extern int crypto_sign_edwards25519sha512batch_ref10(unsigned char *,unsigned long long *,const unsigned char *,unsigned long long,const unsigned char *); +extern int crypto_sign_edwards25519sha512batch_ref10_open(unsigned char *,unsigned long long *,const unsigned char *,unsigned long long,const unsigned char *); +extern int crypto_sign_edwards25519sha512batch_ref10_keypair(unsigned char *,unsigned char *); +#ifdef __cplusplus +} +#endif + +#define crypto_sign_edwards25519sha512batch crypto_sign_edwards25519sha512batch_ref10 +#define crypto_sign_edwards25519sha512batch_open crypto_sign_edwards25519sha512batch_ref10_open +#define crypto_sign_edwards25519sha512batch_keypair crypto_sign_edwards25519sha512batch_ref10_keypair +#define crypto_sign_edwards25519sha512batch_BYTES crypto_sign_edwards25519sha512batch_ref10_BYTES +#define crypto_sign_edwards25519sha512batch_PUBLICKEYBYTES crypto_sign_edwards25519sha512batch_ref10_PUBLICKEYBYTES +#define crypto_sign_edwards25519sha512batch_SECRETKEYBYTES crypto_sign_edwards25519sha512batch_ref10_SECRETKEYBYTES +#define crypto_sign_edwards25519sha512batch_IMPLEMENTATION "crypto_sign/edwards25519sha512batch/ref10" +#ifndef crypto_sign_edwards25519sha512batch_ref10_VERSION +#define crypto_sign_edwards25519sha512batch_ref10_VERSION "-" +#endif +#define crypto_sign_edwards25519sha512batch_VERSION crypto_sign_edwards25519sha512batch_ref10_VERSION + +#endif diff --git a/jni/ed25519/nacl_includes/crypto_uint32.h b/jni/ed25519/nacl_includes/crypto_uint32.h new file mode 100644 index 00000000..21020d7b --- /dev/null +++ b/jni/ed25519/nacl_includes/crypto_uint32.h @@ -0,0 +1,6 @@ +#ifndef crypto_uint32_h +#define crypto_uint32_h + +typedef unsigned int crypto_uint32; + +#endif diff --git a/jni/ed25519/nacl_includes/crypto_uint64.h b/jni/ed25519/nacl_includes/crypto_uint64.h new file mode 100644 index 00000000..5aa00703 --- /dev/null +++ b/jni/ed25519/nacl_includes/crypto_uint64.h @@ -0,0 +1,6 @@ +#ifndef crypto_uint64_h +#define crypto_uint64_h + +typedef unsigned long long crypto_uint64; + +#endif diff --git a/jni/ed25519/nacl_includes/crypto_verify_32.h b/jni/ed25519/nacl_includes/crypto_verify_32.h new file mode 100644 index 00000000..978d8452 --- /dev/null +++ b/jni/ed25519/nacl_includes/crypto_verify_32.h @@ -0,0 +1,22 @@ +#ifndef crypto_verify_32_H +#define crypto_verify_32_H + +#define crypto_verify_32_ref_BYTES 32 +#ifdef __cplusplus +#include <string> +extern "C" { +#endif +extern int crypto_verify_32_ref(const unsigned char *,const unsigned char *); +#ifdef __cplusplus +} +#endif + +#define crypto_verify_32 crypto_verify_32_ref +#define crypto_verify_32_BYTES crypto_verify_32_ref_BYTES +#define crypto_verify_32_IMPLEMENTATION "crypto_verify/32/ref" +#ifndef crypto_verify_32_ref_VERSION +#define crypto_verify_32_ref_VERSION "-" +#endif +#define crypto_verify_32_VERSION crypto_verify_32_ref_VERSION + +#endif diff --git a/jni/ed25519/nacl_sha512/blocks.c b/jni/ed25519/nacl_sha512/blocks.c new file mode 100644 index 00000000..1c5f23d5 --- /dev/null +++ b/jni/ed25519/nacl_sha512/blocks.c @@ -0,0 +1,238 @@ +#include <stdint.h> +typedef uint64_t uint64; + +static uint64 load_bigendian(const unsigned char *x) +{ + return + (uint64) (x[7]) \ + | (((uint64) (x[6])) << 8) \ + | (((uint64) (x[5])) << 16) \ + | (((uint64) (x[4])) << 24) \ + | (((uint64) (x[3])) << 32) \ + | (((uint64) (x[2])) << 40) \ + | (((uint64) (x[1])) << 48) \ + | (((uint64) (x[0])) << 56) + ; +} + +static void store_bigendian(unsigned char *x,uint64 u) +{ + x[7] = u; u >>= 8; + x[6] = u; u >>= 8; + x[5] = u; u >>= 8; + x[4] = u; u >>= 8; + x[3] = u; u >>= 8; + x[2] = u; u >>= 8; + x[1] = u; u >>= 8; + x[0] = u; +} + +#define SHR(x,c) ((x) >> (c)) +#define ROTR(x,c) (((x) >> (c)) | ((x) << (64 - (c)))) + +#define Ch(x,y,z) ((x & y) ^ (~x & z)) +#define Maj(x,y,z) ((x & y) ^ (x & z) ^ (y & z)) +#define Sigma0(x) (ROTR(x,28) ^ ROTR(x,34) ^ ROTR(x,39)) +#define Sigma1(x) (ROTR(x,14) ^ ROTR(x,18) ^ ROTR(x,41)) +#define sigma0(x) (ROTR(x, 1) ^ ROTR(x, 8) ^ SHR(x,7)) +#define sigma1(x) (ROTR(x,19) ^ ROTR(x,61) ^ SHR(x,6)) + +#define M(w0,w14,w9,w1) w0 = sigma1(w14) + w9 + sigma0(w1) + w0; + +#define EXPAND \ + M(w0 ,w14,w9 ,w1 ) \ + M(w1 ,w15,w10,w2 ) \ + M(w2 ,w0 ,w11,w3 ) \ + M(w3 ,w1 ,w12,w4 ) \ + M(w4 ,w2 ,w13,w5 ) \ + M(w5 ,w3 ,w14,w6 ) \ + M(w6 ,w4 ,w15,w7 ) \ + M(w7 ,w5 ,w0 ,w8 ) \ + M(w8 ,w6 ,w1 ,w9 ) \ + M(w9 ,w7 ,w2 ,w10) \ + M(w10,w8 ,w3 ,w11) \ + M(w11,w9 ,w4 ,w12) \ + M(w12,w10,w5 ,w13) \ + M(w13,w11,w6 ,w14) \ + M(w14,w12,w7 ,w15) \ + M(w15,w13,w8 ,w0 ) + +#define F(w,k) \ + T1 = h + Sigma1(e) + Ch(e,f,g) + k + w; \ + T2 = Sigma0(a) + Maj(a,b,c); \ + h = g; \ + g = f; \ + f = e; \ + e = d + T1; \ + d = c; \ + c = b; \ + b = a; \ + a = T1 + T2; + +int crypto_hashblocks_sha512(unsigned char *statebytes,const unsigned char *in,unsigned long long inlen) +{ + uint64 state[8]; + uint64 a; + uint64 b; + uint64 c; + uint64 d; + uint64 e; + uint64 f; + uint64 g; + uint64 h; + uint64 T1; + uint64 T2; + + a = load_bigendian(statebytes + 0); state[0] = a; + b = load_bigendian(statebytes + 8); state[1] = b; + c = load_bigendian(statebytes + 16); state[2] = c; + d = load_bigendian(statebytes + 24); state[3] = d; + e = load_bigendian(statebytes + 32); state[4] = e; + f = load_bigendian(statebytes + 40); state[5] = f; + g = load_bigendian(statebytes + 48); state[6] = g; + h = load_bigendian(statebytes + 56); state[7] = h; + + while (inlen >= 128) { + uint64 w0 = load_bigendian(in + 0); + uint64 w1 = load_bigendian(in + 8); + uint64 w2 = load_bigendian(in + 16); + uint64 w3 = load_bigendian(in + 24); + uint64 w4 = load_bigendian(in + 32); + uint64 w5 = load_bigendian(in + 40); + uint64 w6 = load_bigendian(in + 48); + uint64 w7 = load_bigendian(in + 56); + uint64 w8 = load_bigendian(in + 64); + uint64 w9 = load_bigendian(in + 72); + uint64 w10 = load_bigendian(in + 80); + uint64 w11 = load_bigendian(in + 88); + uint64 w12 = load_bigendian(in + 96); + uint64 w13 = load_bigendian(in + 104); + uint64 w14 = load_bigendian(in + 112); + uint64 w15 = load_bigendian(in + 120); + + F(w0 ,0x428a2f98d728ae22ULL) + F(w1 ,0x7137449123ef65cdULL) + F(w2 ,0xb5c0fbcfec4d3b2fULL) + F(w3 ,0xe9b5dba58189dbbcULL) + F(w4 ,0x3956c25bf348b538ULL) + F(w5 ,0x59f111f1b605d019ULL) + F(w6 ,0x923f82a4af194f9bULL) + F(w7 ,0xab1c5ed5da6d8118ULL) + F(w8 ,0xd807aa98a3030242ULL) + F(w9 ,0x12835b0145706fbeULL) + F(w10,0x243185be4ee4b28cULL) + F(w11,0x550c7dc3d5ffb4e2ULL) + F(w12,0x72be5d74f27b896fULL) + F(w13,0x80deb1fe3b1696b1ULL) + F(w14,0x9bdc06a725c71235ULL) + F(w15,0xc19bf174cf692694ULL) + + EXPAND + + F(w0 ,0xe49b69c19ef14ad2ULL) + F(w1 ,0xefbe4786384f25e3ULL) + F(w2 ,0x0fc19dc68b8cd5b5ULL) + F(w3 ,0x240ca1cc77ac9c65ULL) + F(w4 ,0x2de92c6f592b0275ULL) + F(w5 ,0x4a7484aa6ea6e483ULL) + F(w6 ,0x5cb0a9dcbd41fbd4ULL) + F(w7 ,0x76f988da831153b5ULL) + F(w8 ,0x983e5152ee66dfabULL) + F(w9 ,0xa831c66d2db43210ULL) + F(w10,0xb00327c898fb213fULL) + F(w11,0xbf597fc7beef0ee4ULL) + F(w12,0xc6e00bf33da88fc2ULL) + F(w13,0xd5a79147930aa725ULL) + F(w14,0x06ca6351e003826fULL) + F(w15,0x142929670a0e6e70ULL) + + EXPAND + + F(w0 ,0x27b70a8546d22ffcULL) + F(w1 ,0x2e1b21385c26c926ULL) + F(w2 ,0x4d2c6dfc5ac42aedULL) + F(w3 ,0x53380d139d95b3dfULL) + F(w4 ,0x650a73548baf63deULL) + F(w5 ,0x766a0abb3c77b2a8ULL) + F(w6 ,0x81c2c92e47edaee6ULL) + F(w7 ,0x92722c851482353bULL) + F(w8 ,0xa2bfe8a14cf10364ULL) + F(w9 ,0xa81a664bbc423001ULL) + F(w10,0xc24b8b70d0f89791ULL) + F(w11,0xc76c51a30654be30ULL) + F(w12,0xd192e819d6ef5218ULL) + F(w13,0xd69906245565a910ULL) + F(w14,0xf40e35855771202aULL) + F(w15,0x106aa07032bbd1b8ULL) + + EXPAND + + F(w0 ,0x19a4c116b8d2d0c8ULL) + F(w1 ,0x1e376c085141ab53ULL) + F(w2 ,0x2748774cdf8eeb99ULL) + F(w3 ,0x34b0bcb5e19b48a8ULL) + F(w4 ,0x391c0cb3c5c95a63ULL) + F(w5 ,0x4ed8aa4ae3418acbULL) + F(w6 ,0x5b9cca4f7763e373ULL) + F(w7 ,0x682e6ff3d6b2b8a3ULL) + F(w8 ,0x748f82ee5defb2fcULL) + F(w9 ,0x78a5636f43172f60ULL) + F(w10,0x84c87814a1f0ab72ULL) + F(w11,0x8cc702081a6439ecULL) + F(w12,0x90befffa23631e28ULL) + F(w13,0xa4506cebde82bde9ULL) + F(w14,0xbef9a3f7b2c67915ULL) + F(w15,0xc67178f2e372532bULL) + + EXPAND + + F(w0 ,0xca273eceea26619cULL) + F(w1 ,0xd186b8c721c0c207ULL) + F(w2 ,0xeada7dd6cde0eb1eULL) + F(w3 ,0xf57d4f7fee6ed178ULL) + F(w4 ,0x06f067aa72176fbaULL) + F(w5 ,0x0a637dc5a2c898a6ULL) + F(w6 ,0x113f9804bef90daeULL) + F(w7 ,0x1b710b35131c471bULL) + F(w8 ,0x28db77f523047d84ULL) + F(w9 ,0x32caab7b40c72493ULL) + F(w10,0x3c9ebe0a15c9bebcULL) + F(w11,0x431d67c49c100d4cULL) + F(w12,0x4cc5d4becb3e42b6ULL) + F(w13,0x597f299cfc657e2aULL) + F(w14,0x5fcb6fab3ad6faecULL) + F(w15,0x6c44198c4a475817ULL) + + a += state[0]; + b += state[1]; + c += state[2]; + d += state[3]; + e += state[4]; + f += state[5]; + g += state[6]; + h += state[7]; + + state[0] = a; + state[1] = b; + state[2] = c; + state[3] = d; + state[4] = e; + state[5] = f; + state[6] = g; + state[7] = h; + + in += 128; + inlen -= 128; + } + + store_bigendian(statebytes + 0,state[0]); + store_bigendian(statebytes + 8,state[1]); + store_bigendian(statebytes + 16,state[2]); + store_bigendian(statebytes + 24,state[3]); + store_bigendian(statebytes + 32,state[4]); + store_bigendian(statebytes + 40,state[5]); + store_bigendian(statebytes + 48,state[6]); + store_bigendian(statebytes + 56,state[7]); + + return 0; +} diff --git a/jni/ed25519/nacl_sha512/hash.c b/jni/ed25519/nacl_sha512/hash.c new file mode 100644 index 00000000..8934cc18 --- /dev/null +++ b/jni/ed25519/nacl_sha512/hash.c @@ -0,0 +1,71 @@ +/* +20080913 +D. J. Bernstein +Public domain. +*/ + +#include <stdint.h> +typedef uint64_t uint64; + +extern int crypto_hashblocks_sha512(unsigned char *statebytes,const unsigned char *in,unsigned long long inlen); + +#define blocks crypto_hashblocks_sha512 + +static const unsigned char iv[64] = { + 0x6a,0x09,0xe6,0x67,0xf3,0xbc,0xc9,0x08, + 0xbb,0x67,0xae,0x85,0x84,0xca,0xa7,0x3b, + 0x3c,0x6e,0xf3,0x72,0xfe,0x94,0xf8,0x2b, + 0xa5,0x4f,0xf5,0x3a,0x5f,0x1d,0x36,0xf1, + 0x51,0x0e,0x52,0x7f,0xad,0xe6,0x82,0xd1, + 0x9b,0x05,0x68,0x8c,0x2b,0x3e,0x6c,0x1f, + 0x1f,0x83,0xd9,0xab,0xfb,0x41,0xbd,0x6b, + 0x5b,0xe0,0xcd,0x19,0x13,0x7e,0x21,0x79 +} ; + +int crypto_hash_sha512(unsigned char *out,const unsigned char *in,unsigned long long inlen) +{ + unsigned char h[64]; + unsigned char padded[256]; + int i; + unsigned long long bytes = inlen; + + for (i = 0;i < 64;++i) h[i] = iv[i]; + + blocks(h,in,inlen); + in += inlen; + inlen &= 127; + in -= inlen; + + for (i = 0;i < inlen;++i) padded[i] = in[i]; + padded[inlen] = 0x80; + + if (inlen < 112) { + for (i = inlen + 1;i < 119;++i) padded[i] = 0; + padded[119] = bytes >> 61; + padded[120] = bytes >> 53; + padded[121] = bytes >> 45; + padded[122] = bytes >> 37; + padded[123] = bytes >> 29; + padded[124] = bytes >> 21; + padded[125] = bytes >> 13; + padded[126] = bytes >> 5; + padded[127] = bytes << 3; + blocks(h,padded,128); + } else { + for (i = inlen + 1;i < 247;++i) padded[i] = 0; + padded[247] = bytes >> 61; + padded[248] = bytes >> 53; + padded[249] = bytes >> 45; + padded[250] = bytes >> 37; + padded[251] = bytes >> 29; + padded[252] = bytes >> 21; + padded[253] = bytes >> 13; + padded[254] = bytes >> 5; + padded[255] = bytes << 3; + blocks(h,padded,256); + } + + for (i = 0;i < 64;++i) out[i] = h[i]; + + return 0; +} diff --git a/jni/ed25519/open.c b/jni/ed25519/open.c new file mode 100644 index 00000000..1ec4cd2b --- /dev/null +++ b/jni/ed25519/open.c @@ -0,0 +1,48 @@ +#include <string.h> +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "crypto_verify_32.h" +#include "ge.h" +#include "sc.h" + +int crypto_sign_open( + unsigned char *m,unsigned long long *mlen, + const unsigned char *sm,unsigned long long smlen, + const unsigned char *pk +) +{ + unsigned char pkcopy[32]; + unsigned char rcopy[32]; + unsigned char scopy[32]; + unsigned char h[64]; + unsigned char rcheck[32]; + ge_p3 A; + ge_p2 R; + + if (smlen < 64) goto badsig; + if (sm[63] & 224) goto badsig; + if (ge_frombytes_negate_vartime(&A,pk) != 0) goto badsig; + + memmove(pkcopy,pk,32); + memmove(rcopy,sm,32); + memmove(scopy,sm + 32,32); + + memmove(m,sm,smlen); + memmove(m + 32,pkcopy,32); + crypto_hash_sha512(h,m,smlen); + sc_reduce(h); + + ge_double_scalarmult_vartime(&R,h,&A,scopy); + ge_tobytes(rcheck,&R); + if (crypto_verify_32(rcheck,rcopy) == 0) { + memmove(m,m + 64,smlen - 64); + memset(m + smlen - 64,0,64); + *mlen = smlen - 64; + return 0; + } + +badsig: + *mlen = -1; + memset(m,0,smlen); + return -1; +} diff --git a/jni/ed25519/pow22523.h b/jni/ed25519/pow22523.h new file mode 100644 index 00000000..60ffe0d3 --- /dev/null +++ b/jni/ed25519/pow22523.h @@ -0,0 +1,160 @@ + +/* qhasm: fe z1 */ + +/* qhasm: fe z2 */ + +/* qhasm: fe z8 */ + +/* qhasm: fe z9 */ + +/* qhasm: fe z11 */ + +/* qhasm: fe z22 */ + +/* qhasm: fe z_5_0 */ + +/* qhasm: fe z_10_5 */ + +/* qhasm: fe z_10_0 */ + +/* qhasm: fe z_20_10 */ + +/* qhasm: fe z_20_0 */ + +/* qhasm: fe z_40_20 */ + +/* qhasm: fe z_40_0 */ + +/* qhasm: fe z_50_10 */ + +/* qhasm: fe z_50_0 */ + +/* qhasm: fe z_100_50 */ + +/* qhasm: fe z_100_0 */ + +/* qhasm: fe z_200_100 */ + +/* qhasm: fe z_200_0 */ + +/* qhasm: fe z_250_50 */ + +/* qhasm: fe z_250_0 */ + +/* qhasm: fe z_252_2 */ + +/* qhasm: fe z_252_3 */ + +/* qhasm: enter pow22523 */ + +/* qhasm: z2 = z1^2^1 */ +/* asm 1: fe_sq(>z2=fe#1,<z1=fe#11); for (i = 1;i < 1;++i) fe_sq(>z2=fe#1,>z2=fe#1); */ +/* asm 2: fe_sq(>z2=t0,<z1=z); for (i = 1;i < 1;++i) fe_sq(>z2=t0,>z2=t0); */ +fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z8 = z2^2^2 */ +/* asm 1: fe_sq(>z8=fe#2,<z2=fe#1); for (i = 1;i < 2;++i) fe_sq(>z8=fe#2,>z8=fe#2); */ +/* asm 2: fe_sq(>z8=t1,<z2=t0); for (i = 1;i < 2;++i) fe_sq(>z8=t1,>z8=t1); */ +fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); + +/* qhasm: z9 = z1*z8 */ +/* asm 1: fe_mul(>z9=fe#2,<z1=fe#11,<z8=fe#2); */ +/* asm 2: fe_mul(>z9=t1,<z1=z,<z8=t1); */ +fe_mul(t1,z,t1); + +/* qhasm: z11 = z2*z9 */ +/* asm 1: fe_mul(>z11=fe#1,<z2=fe#1,<z9=fe#2); */ +/* asm 2: fe_mul(>z11=t0,<z2=t0,<z9=t1); */ +fe_mul(t0,t0,t1); + +/* qhasm: z22 = z11^2^1 */ +/* asm 1: fe_sq(>z22=fe#1,<z11=fe#1); for (i = 1;i < 1;++i) fe_sq(>z22=fe#1,>z22=fe#1); */ +/* asm 2: fe_sq(>z22=t0,<z11=t0); for (i = 1;i < 1;++i) fe_sq(>z22=t0,>z22=t0); */ +fe_sq(t0,t0); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z_5_0 = z9*z22 */ +/* asm 1: fe_mul(>z_5_0=fe#1,<z9=fe#2,<z22=fe#1); */ +/* asm 2: fe_mul(>z_5_0=t0,<z9=t1,<z22=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_10_5 = z_5_0^2^5 */ +/* asm 1: fe_sq(>z_10_5=fe#2,<z_5_0=fe#1); for (i = 1;i < 5;++i) fe_sq(>z_10_5=fe#2,>z_10_5=fe#2); */ +/* asm 2: fe_sq(>z_10_5=t1,<z_5_0=t0); for (i = 1;i < 5;++i) fe_sq(>z_10_5=t1,>z_10_5=t1); */ +fe_sq(t1,t0); for (i = 1;i < 5;++i) fe_sq(t1,t1); + +/* qhasm: z_10_0 = z_10_5*z_5_0 */ +/* asm 1: fe_mul(>z_10_0=fe#1,<z_10_5=fe#2,<z_5_0=fe#1); */ +/* asm 2: fe_mul(>z_10_0=t0,<z_10_5=t1,<z_5_0=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_20_10 = z_10_0^2^10 */ +/* asm 1: fe_sq(>z_20_10=fe#2,<z_10_0=fe#1); for (i = 1;i < 10;++i) fe_sq(>z_20_10=fe#2,>z_20_10=fe#2); */ +/* asm 2: fe_sq(>z_20_10=t1,<z_10_0=t0); for (i = 1;i < 10;++i) fe_sq(>z_20_10=t1,>z_20_10=t1); */ +fe_sq(t1,t0); for (i = 1;i < 10;++i) fe_sq(t1,t1); + +/* qhasm: z_20_0 = z_20_10*z_10_0 */ +/* asm 1: fe_mul(>z_20_0=fe#2,<z_20_10=fe#2,<z_10_0=fe#1); */ +/* asm 2: fe_mul(>z_20_0=t1,<z_20_10=t1,<z_10_0=t0); */ +fe_mul(t1,t1,t0); + +/* qhasm: z_40_20 = z_20_0^2^20 */ +/* asm 1: fe_sq(>z_40_20=fe#3,<z_20_0=fe#2); for (i = 1;i < 20;++i) fe_sq(>z_40_20=fe#3,>z_40_20=fe#3); */ +/* asm 2: fe_sq(>z_40_20=t2,<z_20_0=t1); for (i = 1;i < 20;++i) fe_sq(>z_40_20=t2,>z_40_20=t2); */ +fe_sq(t2,t1); for (i = 1;i < 20;++i) fe_sq(t2,t2); + +/* qhasm: z_40_0 = z_40_20*z_20_0 */ +/* asm 1: fe_mul(>z_40_0=fe#2,<z_40_20=fe#3,<z_20_0=fe#2); */ +/* asm 2: fe_mul(>z_40_0=t1,<z_40_20=t2,<z_20_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_50_10 = z_40_0^2^10 */ +/* asm 1: fe_sq(>z_50_10=fe#2,<z_40_0=fe#2); for (i = 1;i < 10;++i) fe_sq(>z_50_10=fe#2,>z_50_10=fe#2); */ +/* asm 2: fe_sq(>z_50_10=t1,<z_40_0=t1); for (i = 1;i < 10;++i) fe_sq(>z_50_10=t1,>z_50_10=t1); */ +fe_sq(t1,t1); for (i = 1;i < 10;++i) fe_sq(t1,t1); + +/* qhasm: z_50_0 = z_50_10*z_10_0 */ +/* asm 1: fe_mul(>z_50_0=fe#1,<z_50_10=fe#2,<z_10_0=fe#1); */ +/* asm 2: fe_mul(>z_50_0=t0,<z_50_10=t1,<z_10_0=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_100_50 = z_50_0^2^50 */ +/* asm 1: fe_sq(>z_100_50=fe#2,<z_50_0=fe#1); for (i = 1;i < 50;++i) fe_sq(>z_100_50=fe#2,>z_100_50=fe#2); */ +/* asm 2: fe_sq(>z_100_50=t1,<z_50_0=t0); for (i = 1;i < 50;++i) fe_sq(>z_100_50=t1,>z_100_50=t1); */ +fe_sq(t1,t0); for (i = 1;i < 50;++i) fe_sq(t1,t1); + +/* qhasm: z_100_0 = z_100_50*z_50_0 */ +/* asm 1: fe_mul(>z_100_0=fe#2,<z_100_50=fe#2,<z_50_0=fe#1); */ +/* asm 2: fe_mul(>z_100_0=t1,<z_100_50=t1,<z_50_0=t0); */ +fe_mul(t1,t1,t0); + +/* qhasm: z_200_100 = z_100_0^2^100 */ +/* asm 1: fe_sq(>z_200_100=fe#3,<z_100_0=fe#2); for (i = 1;i < 100;++i) fe_sq(>z_200_100=fe#3,>z_200_100=fe#3); */ +/* asm 2: fe_sq(>z_200_100=t2,<z_100_0=t1); for (i = 1;i < 100;++i) fe_sq(>z_200_100=t2,>z_200_100=t2); */ +fe_sq(t2,t1); for (i = 1;i < 100;++i) fe_sq(t2,t2); + +/* qhasm: z_200_0 = z_200_100*z_100_0 */ +/* asm 1: fe_mul(>z_200_0=fe#2,<z_200_100=fe#3,<z_100_0=fe#2); */ +/* asm 2: fe_mul(>z_200_0=t1,<z_200_100=t2,<z_100_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_250_50 = z_200_0^2^50 */ +/* asm 1: fe_sq(>z_250_50=fe#2,<z_200_0=fe#2); for (i = 1;i < 50;++i) fe_sq(>z_250_50=fe#2,>z_250_50=fe#2); */ +/* asm 2: fe_sq(>z_250_50=t1,<z_200_0=t1); for (i = 1;i < 50;++i) fe_sq(>z_250_50=t1,>z_250_50=t1); */ +fe_sq(t1,t1); for (i = 1;i < 50;++i) fe_sq(t1,t1); + +/* qhasm: z_250_0 = z_250_50*z_50_0 */ +/* asm 1: fe_mul(>z_250_0=fe#1,<z_250_50=fe#2,<z_50_0=fe#1); */ +/* asm 2: fe_mul(>z_250_0=t0,<z_250_50=t1,<z_50_0=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_252_2 = z_250_0^2^2 */ +/* asm 1: fe_sq(>z_252_2=fe#1,<z_250_0=fe#1); for (i = 1;i < 2;++i) fe_sq(>z_252_2=fe#1,>z_252_2=fe#1); */ +/* asm 2: fe_sq(>z_252_2=t0,<z_250_0=t0); for (i = 1;i < 2;++i) fe_sq(>z_252_2=t0,>z_252_2=t0); */ +fe_sq(t0,t0); for (i = 1;i < 2;++i) fe_sq(t0,t0); + +/* qhasm: z_252_3 = z_252_2*z1 */ +/* asm 1: fe_mul(>z_252_3=fe#12,<z_252_2=fe#1,<z1=fe#11); */ +/* asm 2: fe_mul(>z_252_3=out,<z_252_2=t0,<z1=z); */ +fe_mul(out,t0,z); + +/* qhasm: return */ diff --git a/jni/ed25519/pow225521.h b/jni/ed25519/pow225521.h new file mode 100644 index 00000000..109df779 --- /dev/null +++ b/jni/ed25519/pow225521.h @@ -0,0 +1,160 @@ + +/* qhasm: fe z1 */ + +/* qhasm: fe z2 */ + +/* qhasm: fe z8 */ + +/* qhasm: fe z9 */ + +/* qhasm: fe z11 */ + +/* qhasm: fe z22 */ + +/* qhasm: fe z_5_0 */ + +/* qhasm: fe z_10_5 */ + +/* qhasm: fe z_10_0 */ + +/* qhasm: fe z_20_10 */ + +/* qhasm: fe z_20_0 */ + +/* qhasm: fe z_40_20 */ + +/* qhasm: fe z_40_0 */ + +/* qhasm: fe z_50_10 */ + +/* qhasm: fe z_50_0 */ + +/* qhasm: fe z_100_50 */ + +/* qhasm: fe z_100_0 */ + +/* qhasm: fe z_200_100 */ + +/* qhasm: fe z_200_0 */ + +/* qhasm: fe z_250_50 */ + +/* qhasm: fe z_250_0 */ + +/* qhasm: fe z_255_5 */ + +/* qhasm: fe z_255_21 */ + +/* qhasm: enter pow225521 */ + +/* qhasm: z2 = z1^2^1 */ +/* asm 1: fe_sq(>z2=fe#1,<z1=fe#11); for (i = 1;i < 1;++i) fe_sq(>z2=fe#1,>z2=fe#1); */ +/* asm 2: fe_sq(>z2=t0,<z1=z); for (i = 1;i < 1;++i) fe_sq(>z2=t0,>z2=t0); */ +fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z8 = z2^2^2 */ +/* asm 1: fe_sq(>z8=fe#2,<z2=fe#1); for (i = 1;i < 2;++i) fe_sq(>z8=fe#2,>z8=fe#2); */ +/* asm 2: fe_sq(>z8=t1,<z2=t0); for (i = 1;i < 2;++i) fe_sq(>z8=t1,>z8=t1); */ +fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); + +/* qhasm: z9 = z1*z8 */ +/* asm 1: fe_mul(>z9=fe#2,<z1=fe#11,<z8=fe#2); */ +/* asm 2: fe_mul(>z9=t1,<z1=z,<z8=t1); */ +fe_mul(t1,z,t1); + +/* qhasm: z11 = z2*z9 */ +/* asm 1: fe_mul(>z11=fe#1,<z2=fe#1,<z9=fe#2); */ +/* asm 2: fe_mul(>z11=t0,<z2=t0,<z9=t1); */ +fe_mul(t0,t0,t1); + +/* qhasm: z22 = z11^2^1 */ +/* asm 1: fe_sq(>z22=fe#3,<z11=fe#1); for (i = 1;i < 1;++i) fe_sq(>z22=fe#3,>z22=fe#3); */ +/* asm 2: fe_sq(>z22=t2,<z11=t0); for (i = 1;i < 1;++i) fe_sq(>z22=t2,>z22=t2); */ +fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2); + +/* qhasm: z_5_0 = z9*z22 */ +/* asm 1: fe_mul(>z_5_0=fe#2,<z9=fe#2,<z22=fe#3); */ +/* asm 2: fe_mul(>z_5_0=t1,<z9=t1,<z22=t2); */ +fe_mul(t1,t1,t2); + +/* qhasm: z_10_5 = z_5_0^2^5 */ +/* asm 1: fe_sq(>z_10_5=fe#3,<z_5_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_10_5=fe#3,>z_10_5=fe#3); */ +/* asm 2: fe_sq(>z_10_5=t2,<z_5_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_10_5=t2,>z_10_5=t2); */ +fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2); + +/* qhasm: z_10_0 = z_10_5*z_5_0 */ +/* asm 1: fe_mul(>z_10_0=fe#2,<z_10_5=fe#3,<z_5_0=fe#2); */ +/* asm 2: fe_mul(>z_10_0=t1,<z_10_5=t2,<z_5_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_20_10 = z_10_0^2^10 */ +/* asm 1: fe_sq(>z_20_10=fe#3,<z_10_0=fe#2); for (i = 1;i < 10;++i) fe_sq(>z_20_10=fe#3,>z_20_10=fe#3); */ +/* asm 2: fe_sq(>z_20_10=t2,<z_10_0=t1); for (i = 1;i < 10;++i) fe_sq(>z_20_10=t2,>z_20_10=t2); */ +fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_20_0 = z_20_10*z_10_0 */ +/* asm 1: fe_mul(>z_20_0=fe#3,<z_20_10=fe#3,<z_10_0=fe#2); */ +/* asm 2: fe_mul(>z_20_0=t2,<z_20_10=t2,<z_10_0=t1); */ +fe_mul(t2,t2,t1); + +/* qhasm: z_40_20 = z_20_0^2^20 */ +/* asm 1: fe_sq(>z_40_20=fe#4,<z_20_0=fe#3); for (i = 1;i < 20;++i) fe_sq(>z_40_20=fe#4,>z_40_20=fe#4); */ +/* asm 2: fe_sq(>z_40_20=t3,<z_20_0=t2); for (i = 1;i < 20;++i) fe_sq(>z_40_20=t3,>z_40_20=t3); */ +fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3); + +/* qhasm: z_40_0 = z_40_20*z_20_0 */ +/* asm 1: fe_mul(>z_40_0=fe#3,<z_40_20=fe#4,<z_20_0=fe#3); */ +/* asm 2: fe_mul(>z_40_0=t2,<z_40_20=t3,<z_20_0=t2); */ +fe_mul(t2,t3,t2); + +/* qhasm: z_50_10 = z_40_0^2^10 */ +/* asm 1: fe_sq(>z_50_10=fe#3,<z_40_0=fe#3); for (i = 1;i < 10;++i) fe_sq(>z_50_10=fe#3,>z_50_10=fe#3); */ +/* asm 2: fe_sq(>z_50_10=t2,<z_40_0=t2); for (i = 1;i < 10;++i) fe_sq(>z_50_10=t2,>z_50_10=t2); */ +fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_50_0 = z_50_10*z_10_0 */ +/* asm 1: fe_mul(>z_50_0=fe#2,<z_50_10=fe#3,<z_10_0=fe#2); */ +/* asm 2: fe_mul(>z_50_0=t1,<z_50_10=t2,<z_10_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_100_50 = z_50_0^2^50 */ +/* asm 1: fe_sq(>z_100_50=fe#3,<z_50_0=fe#2); for (i = 1;i < 50;++i) fe_sq(>z_100_50=fe#3,>z_100_50=fe#3); */ +/* asm 2: fe_sq(>z_100_50=t2,<z_50_0=t1); for (i = 1;i < 50;++i) fe_sq(>z_100_50=t2,>z_100_50=t2); */ +fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_100_0 = z_100_50*z_50_0 */ +/* asm 1: fe_mul(>z_100_0=fe#3,<z_100_50=fe#3,<z_50_0=fe#2); */ +/* asm 2: fe_mul(>z_100_0=t2,<z_100_50=t2,<z_50_0=t1); */ +fe_mul(t2,t2,t1); + +/* qhasm: z_200_100 = z_100_0^2^100 */ +/* asm 1: fe_sq(>z_200_100=fe#4,<z_100_0=fe#3); for (i = 1;i < 100;++i) fe_sq(>z_200_100=fe#4,>z_200_100=fe#4); */ +/* asm 2: fe_sq(>z_200_100=t3,<z_100_0=t2); for (i = 1;i < 100;++i) fe_sq(>z_200_100=t3,>z_200_100=t3); */ +fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3); + +/* qhasm: z_200_0 = z_200_100*z_100_0 */ +/* asm 1: fe_mul(>z_200_0=fe#3,<z_200_100=fe#4,<z_100_0=fe#3); */ +/* asm 2: fe_mul(>z_200_0=t2,<z_200_100=t3,<z_100_0=t2); */ +fe_mul(t2,t3,t2); + +/* qhasm: z_250_50 = z_200_0^2^50 */ +/* asm 1: fe_sq(>z_250_50=fe#3,<z_200_0=fe#3); for (i = 1;i < 50;++i) fe_sq(>z_250_50=fe#3,>z_250_50=fe#3); */ +/* asm 2: fe_sq(>z_250_50=t2,<z_200_0=t2); for (i = 1;i < 50;++i) fe_sq(>z_250_50=t2,>z_250_50=t2); */ +fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_250_0 = z_250_50*z_50_0 */ +/* asm 1: fe_mul(>z_250_0=fe#2,<z_250_50=fe#3,<z_50_0=fe#2); */ +/* asm 2: fe_mul(>z_250_0=t1,<z_250_50=t2,<z_50_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_255_5 = z_250_0^2^5 */ +/* asm 1: fe_sq(>z_255_5=fe#2,<z_250_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_255_5=fe#2,>z_255_5=fe#2); */ +/* asm 2: fe_sq(>z_255_5=t1,<z_250_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_255_5=t1,>z_255_5=t1); */ +fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1); + +/* qhasm: z_255_21 = z_255_5*z11 */ +/* asm 1: fe_mul(>z_255_21=fe#12,<z_255_5=fe#2,<z11=fe#1); */ +/* asm 2: fe_mul(>z_255_21=out,<z_255_5=t1,<z11=t0); */ +fe_mul(out,t1,t0); + +/* qhasm: return */ diff --git a/jni/ed25519/sc.h b/jni/ed25519/sc.h new file mode 100644 index 00000000..d32ed2e8 --- /dev/null +++ b/jni/ed25519/sc.h @@ -0,0 +1,15 @@ +#ifndef SC_H +#define SC_H + +/* +The set of scalars is \Z/l +where l = 2^252 + 27742317777372353535851937790883648493. +*/ + +#define sc_reduce crypto_sign_ed25519_ref10_sc_reduce +#define sc_muladd crypto_sign_ed25519_ref10_sc_muladd + +extern void sc_reduce(unsigned char *); +extern void sc_muladd(unsigned char *,const unsigned char *,const unsigned char *,const unsigned char *); + +#endif diff --git a/jni/ed25519/sc_muladd.c b/jni/ed25519/sc_muladd.c new file mode 100644 index 00000000..6f1e9d02 --- /dev/null +++ b/jni/ed25519/sc_muladd.c @@ -0,0 +1,368 @@ +#include "sc.h" +#include "crypto_int64.h" +#include "crypto_uint32.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +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(unsigned char *s,const unsigned char *a,const unsigned char *b,const unsigned char *c) +{ + crypto_int64 a0 = 2097151 & load_3(a); + crypto_int64 a1 = 2097151 & (load_4(a + 2) >> 5); + crypto_int64 a2 = 2097151 & (load_3(a + 5) >> 2); + crypto_int64 a3 = 2097151 & (load_4(a + 7) >> 7); + crypto_int64 a4 = 2097151 & (load_4(a + 10) >> 4); + crypto_int64 a5 = 2097151 & (load_3(a + 13) >> 1); + crypto_int64 a6 = 2097151 & (load_4(a + 15) >> 6); + crypto_int64 a7 = 2097151 & (load_3(a + 18) >> 3); + crypto_int64 a8 = 2097151 & load_3(a + 21); + crypto_int64 a9 = 2097151 & (load_4(a + 23) >> 5); + crypto_int64 a10 = 2097151 & (load_3(a + 26) >> 2); + crypto_int64 a11 = (load_4(a + 28) >> 7); + crypto_int64 b0 = 2097151 & load_3(b); + crypto_int64 b1 = 2097151 & (load_4(b + 2) >> 5); + crypto_int64 b2 = 2097151 & (load_3(b + 5) >> 2); + crypto_int64 b3 = 2097151 & (load_4(b + 7) >> 7); + crypto_int64 b4 = 2097151 & (load_4(b + 10) >> 4); + crypto_int64 b5 = 2097151 & (load_3(b + 13) >> 1); + crypto_int64 b6 = 2097151 & (load_4(b + 15) >> 6); + crypto_int64 b7 = 2097151 & (load_3(b + 18) >> 3); + crypto_int64 b8 = 2097151 & load_3(b + 21); + crypto_int64 b9 = 2097151 & (load_4(b + 23) >> 5); + crypto_int64 b10 = 2097151 & (load_3(b + 26) >> 2); + crypto_int64 b11 = (load_4(b + 28) >> 7); + crypto_int64 c0 = 2097151 & load_3(c); + crypto_int64 c1 = 2097151 & (load_4(c + 2) >> 5); + crypto_int64 c2 = 2097151 & (load_3(c + 5) >> 2); + crypto_int64 c3 = 2097151 & (load_4(c + 7) >> 7); + crypto_int64 c4 = 2097151 & (load_4(c + 10) >> 4); + crypto_int64 c5 = 2097151 & (load_3(c + 13) >> 1); + crypto_int64 c6 = 2097151 & (load_4(c + 15) >> 6); + crypto_int64 c7 = 2097151 & (load_3(c + 18) >> 3); + crypto_int64 c8 = 2097151 & load_3(c + 21); + crypto_int64 c9 = 2097151 & (load_4(c + 23) >> 5); + crypto_int64 c10 = 2097151 & (load_3(c + 26) >> 2); + crypto_int64 c11 = (load_4(c + 28) >> 7); + crypto_int64 s0; + crypto_int64 s1; + crypto_int64 s2; + crypto_int64 s3; + crypto_int64 s4; + crypto_int64 s5; + crypto_int64 s6; + crypto_int64 s7; + crypto_int64 s8; + crypto_int64 s9; + crypto_int64 s10; + crypto_int64 s11; + crypto_int64 s12; + crypto_int64 s13; + crypto_int64 s14; + crypto_int64 s15; + crypto_int64 s16; + crypto_int64 s17; + crypto_int64 s18; + crypto_int64 s19; + crypto_int64 s20; + crypto_int64 s21; + crypto_int64 s22; + crypto_int64 s23; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + crypto_int64 carry10; + crypto_int64 carry11; + crypto_int64 carry12; + crypto_int64 carry13; + crypto_int64 carry14; + crypto_int64 carry15; + crypto_int64 carry16; + crypto_int64 carry17; + crypto_int64 carry18; + crypto_int64 carry19; + crypto_int64 carry20; + crypto_int64 carry21; + crypto_int64 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 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; + carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; + carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; + carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; + carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; + + s11 += s23 * 666643; + s12 += s23 * 470296; + s13 += s23 * 654183; + s14 -= s23 * 997805; + s15 += s23 * 136657; + s16 -= s23 * 683901; + s23 = 0; + + s10 += s22 * 666643; + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + s22 = 0; + + s9 += s21 * 666643; + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + s21 = 0; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + s20 = 0; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + s19 = 0; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + s18 = 0; + + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + s5 += s17 * 666643; + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + s17 = 0; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + s16 = 0; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + s15 = 0; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + s14 = 0; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + s13 = 0; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 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 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 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 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} diff --git a/jni/ed25519/sc_reduce.c b/jni/ed25519/sc_reduce.c new file mode 100644 index 00000000..d01f5a57 --- /dev/null +++ b/jni/ed25519/sc_reduce.c @@ -0,0 +1,275 @@ +#include "sc.h" +#include "crypto_int64.h" +#include "crypto_uint32.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +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(unsigned char *s) +{ + crypto_int64 s0 = 2097151 & load_3(s); + crypto_int64 s1 = 2097151 & (load_4(s + 2) >> 5); + crypto_int64 s2 = 2097151 & (load_3(s + 5) >> 2); + crypto_int64 s3 = 2097151 & (load_4(s + 7) >> 7); + crypto_int64 s4 = 2097151 & (load_4(s + 10) >> 4); + crypto_int64 s5 = 2097151 & (load_3(s + 13) >> 1); + crypto_int64 s6 = 2097151 & (load_4(s + 15) >> 6); + crypto_int64 s7 = 2097151 & (load_3(s + 18) >> 3); + crypto_int64 s8 = 2097151 & load_3(s + 21); + crypto_int64 s9 = 2097151 & (load_4(s + 23) >> 5); + crypto_int64 s10 = 2097151 & (load_3(s + 26) >> 2); + crypto_int64 s11 = 2097151 & (load_4(s + 28) >> 7); + crypto_int64 s12 = 2097151 & (load_4(s + 31) >> 4); + crypto_int64 s13 = 2097151 & (load_3(s + 34) >> 1); + crypto_int64 s14 = 2097151 & (load_4(s + 36) >> 6); + crypto_int64 s15 = 2097151 & (load_3(s + 39) >> 3); + crypto_int64 s16 = 2097151 & load_3(s + 42); + crypto_int64 s17 = 2097151 & (load_4(s + 44) >> 5); + crypto_int64 s18 = 2097151 & (load_3(s + 47) >> 2); + crypto_int64 s19 = 2097151 & (load_4(s + 49) >> 7); + crypto_int64 s20 = 2097151 & (load_4(s + 52) >> 4); + crypto_int64 s21 = 2097151 & (load_3(s + 55) >> 1); + crypto_int64 s22 = 2097151 & (load_4(s + 57) >> 6); + crypto_int64 s23 = (load_4(s + 60) >> 3); + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + crypto_int64 carry10; + crypto_int64 carry11; + crypto_int64 carry12; + crypto_int64 carry13; + crypto_int64 carry14; + crypto_int64 carry15; + crypto_int64 carry16; + + s11 += s23 * 666643; + s12 += s23 * 470296; + s13 += s23 * 654183; + s14 -= s23 * 997805; + s15 += s23 * 136657; + s16 -= s23 * 683901; + s23 = 0; + + s10 += s22 * 666643; + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + s22 = 0; + + s9 += s21 * 666643; + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + s21 = 0; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + s20 = 0; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + s19 = 0; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + s18 = 0; + + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + s5 += s17 * 666643; + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + s17 = 0; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + s16 = 0; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + s15 = 0; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + s14 = 0; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + s13 = 0; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 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 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 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 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} diff --git a/jni/ed25519/sign.c b/jni/ed25519/sign.c new file mode 100644 index 00000000..de53742a --- /dev/null +++ b/jni/ed25519/sign.c @@ -0,0 +1,41 @@ +#include <string.h> +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "ge.h" +#include "sc.h" + +int crypto_sign( + unsigned char *sm,unsigned long long *smlen, + const unsigned char *m,unsigned long long mlen, + const unsigned char *sk +) +{ + unsigned char pk[32]; + unsigned char az[64]; + unsigned char nonce[64]; + unsigned char hram[64]; + ge_p3 R; + + memmove(pk,sk + 32,32); + + crypto_hash_sha512(az,sk,32); + az[0] &= 248; + az[31] &= 63; + az[31] |= 64; + + *smlen = mlen + 64; + memmove(sm + 64,m,mlen); + memmove(sm + 32,az + 32,32); + crypto_hash_sha512(nonce,sm + 32,mlen + 32); + memmove(sm + 32,pk,32); + + sc_reduce(nonce); + ge_scalarmult_base(&R,nonce); + ge_p3_tobytes(sm,&R); + + crypto_hash_sha512(hram,sm,mlen + 64); + sc_reduce(hram); + sc_muladd(sm + 32,hram,az,nonce); + + return 0; +} diff --git a/jni/ed25519/sqrtm1.h b/jni/ed25519/sqrtm1.h new file mode 100644 index 00000000..d8caa23b --- /dev/null +++ b/jni/ed25519/sqrtm1.h @@ -0,0 +1 @@ +-32595792,-7943725,9377950,3500415,12389472,-272473,-25146209,-2005654,326686,11406482 |