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Diffstat (limited to 'lib')
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diff --git a/lib/crypto-algorithms/README.md b/lib/crypto-algorithms/README.md new file mode 100644 index 0000000..64eafd2 --- /dev/null +++ b/lib/crypto-algorithms/README.md @@ -0,0 +1,17 @@ +crypto-algorithms +================= + + +About +--- +These are basic implementations of standard cryptography algorithms, written by Brad Conte (brad@bradconte.com) from scratch and without any cross-licensing. They exist to provide publically accessible, restriction-free implementations of popular cryptographic algorithms, like AES and SHA-1. These are primarily intended for educational and pragmatic purposes (such as comparing a specification to actual implementation code, or for building an internal application that computes test vectors for a product). The algorithms have been tested against standard test vectors. + +This code is released into the public domain free of any restrictions. The author requests acknowledgement if the code is used, but does not require it. This code is provided free of any liability and without any quality claims by the author. + +Note that these are *not* cryptographically secure implementations. They have no resistence to side-channel attacks and should not be used in contexts that need cryptographically secure implementations. + +These algorithms are not optimized for speed or space. They are primarily designed to be easy to read, although some basic optimization techniques have been employed. + +Building +--- +The source code for each algorithm will come in a pair of a source code file and a header file. There should be no inter-header file dependencies, no additional libraries, no platform-specific header files, or any other complicating matters. Compiling them should be as easy as adding the relevent source code to the project.
\ No newline at end of file diff --git a/lib/crypto-algorithms/aes.c b/lib/crypto-algorithms/aes.c new file mode 100644 index 0000000..948e36f --- /dev/null +++ b/lib/crypto-algorithms/aes.c @@ -0,0 +1,1072 @@ +/********************************************************************* +* Filename: aes.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: This code is the implementation of the AES algorithm and + the CTR, CBC, and CCM modes of operation it can be used in. + AES is, specified by the NIST in in publication FIPS PUB 197, + availible at: + * http://csrc.nist.gov/publications/fips/fips197/fips-197.pdf . + The CBC and CTR modes of operation are specified by + NIST SP 800-38 A, available at: + * http://csrc.nist.gov/publications/nistpubs/800-38a/sp800-38a.pdf . + The CCM mode of operation is specified by NIST SP80-38 C, available at: + * http://csrc.nist.gov/publications/nistpubs/800-38C/SP800-38C_updated-July20_2007.pdf +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdlib.h> +#include <memory.h> +#include "aes.h" + +#include <stdio.h> + +/****************************** MACROS ******************************/ +// The least significant byte of the word is rotated to the end. +#define KE_ROTWORD(x) (((x) << 8) | ((x) >> 24)) + +#define TRUE 1 +#define FALSE 0 + +/**************************** DATA TYPES ****************************/ +#define AES_128_ROUNDS 10 +#define AES_192_ROUNDS 12 +#define AES_256_ROUNDS 14 + +/*********************** FUNCTION DECLARATIONS **********************/ +void ccm_prepare_first_ctr_blk(BYTE counter[], const BYTE nonce[], int nonce_len, int payload_len_store_size); +void ccm_prepare_first_format_blk(BYTE buf[], int assoc_len, int payload_len, int payload_len_store_size, int mac_len, const BYTE nonce[], int nonce_len); +void ccm_format_assoc_data(BYTE buf[], int *end_of_buf, const BYTE assoc[], int assoc_len); +void ccm_format_payload_data(BYTE buf[], int *end_of_buf, const BYTE payload[], int payload_len); + +/**************************** VARIABLES *****************************/ +// This is the specified AES SBox. To look up a substitution value, put the first +// nibble in the first index (row) and the second nibble in the second index (column). +static const BYTE aes_sbox[16][16] = { + {0x63,0x7C,0x77,0x7B,0xF2,0x6B,0x6F,0xC5,0x30,0x01,0x67,0x2B,0xFE,0xD7,0xAB,0x76}, + {0xCA,0x82,0xC9,0x7D,0xFA,0x59,0x47,0xF0,0xAD,0xD4,0xA2,0xAF,0x9C,0xA4,0x72,0xC0}, + {0xB7,0xFD,0x93,0x26,0x36,0x3F,0xF7,0xCC,0x34,0xA5,0xE5,0xF1,0x71,0xD8,0x31,0x15}, + {0x04,0xC7,0x23,0xC3,0x18,0x96,0x05,0x9A,0x07,0x12,0x80,0xE2,0xEB,0x27,0xB2,0x75}, + {0x09,0x83,0x2C,0x1A,0x1B,0x6E,0x5A,0xA0,0x52,0x3B,0xD6,0xB3,0x29,0xE3,0x2F,0x84}, + {0x53,0xD1,0x00,0xED,0x20,0xFC,0xB1,0x5B,0x6A,0xCB,0xBE,0x39,0x4A,0x4C,0x58,0xCF}, + {0xD0,0xEF,0xAA,0xFB,0x43,0x4D,0x33,0x85,0x45,0xF9,0x02,0x7F,0x50,0x3C,0x9F,0xA8}, + {0x51,0xA3,0x40,0x8F,0x92,0x9D,0x38,0xF5,0xBC,0xB6,0xDA,0x21,0x10,0xFF,0xF3,0xD2}, + {0xCD,0x0C,0x13,0xEC,0x5F,0x97,0x44,0x17,0xC4,0xA7,0x7E,0x3D,0x64,0x5D,0x19,0x73}, + {0x60,0x81,0x4F,0xDC,0x22,0x2A,0x90,0x88,0x46,0xEE,0xB8,0x14,0xDE,0x5E,0x0B,0xDB}, + {0xE0,0x32,0x3A,0x0A,0x49,0x06,0x24,0x5C,0xC2,0xD3,0xAC,0x62,0x91,0x95,0xE4,0x79}, + {0xE7,0xC8,0x37,0x6D,0x8D,0xD5,0x4E,0xA9,0x6C,0x56,0xF4,0xEA,0x65,0x7A,0xAE,0x08}, + {0xBA,0x78,0x25,0x2E,0x1C,0xA6,0xB4,0xC6,0xE8,0xDD,0x74,0x1F,0x4B,0xBD,0x8B,0x8A}, + {0x70,0x3E,0xB5,0x66,0x48,0x03,0xF6,0x0E,0x61,0x35,0x57,0xB9,0x86,0xC1,0x1D,0x9E}, + {0xE1,0xF8,0x98,0x11,0x69,0xD9,0x8E,0x94,0x9B,0x1E,0x87,0xE9,0xCE,0x55,0x28,0xDF}, + {0x8C,0xA1,0x89,0x0D,0xBF,0xE6,0x42,0x68,0x41,0x99,0x2D,0x0F,0xB0,0x54,0xBB,0x16} +}; + +static const BYTE aes_invsbox[16][16] = { + {0x52,0x09,0x6A,0xD5,0x30,0x36,0xA5,0x38,0xBF,0x40,0xA3,0x9E,0x81,0xF3,0xD7,0xFB}, + {0x7C,0xE3,0x39,0x82,0x9B,0x2F,0xFF,0x87,0x34,0x8E,0x43,0x44,0xC4,0xDE,0xE9,0xCB}, + {0x54,0x7B,0x94,0x32,0xA6,0xC2,0x23,0x3D,0xEE,0x4C,0x95,0x0B,0x42,0xFA,0xC3,0x4E}, + {0x08,0x2E,0xA1,0x66,0x28,0xD9,0x24,0xB2,0x76,0x5B,0xA2,0x49,0x6D,0x8B,0xD1,0x25}, + {0x72,0xF8,0xF6,0x64,0x86,0x68,0x98,0x16,0xD4,0xA4,0x5C,0xCC,0x5D,0x65,0xB6,0x92}, + {0x6C,0x70,0x48,0x50,0xFD,0xED,0xB9,0xDA,0x5E,0x15,0x46,0x57,0xA7,0x8D,0x9D,0x84}, + {0x90,0xD8,0xAB,0x00,0x8C,0xBC,0xD3,0x0A,0xF7,0xE4,0x58,0x05,0xB8,0xB3,0x45,0x06}, + {0xD0,0x2C,0x1E,0x8F,0xCA,0x3F,0x0F,0x02,0xC1,0xAF,0xBD,0x03,0x01,0x13,0x8A,0x6B}, + {0x3A,0x91,0x11,0x41,0x4F,0x67,0xDC,0xEA,0x97,0xF2,0xCF,0xCE,0xF0,0xB4,0xE6,0x73}, + {0x96,0xAC,0x74,0x22,0xE7,0xAD,0x35,0x85,0xE2,0xF9,0x37,0xE8,0x1C,0x75,0xDF,0x6E}, + {0x47,0xF1,0x1A,0x71,0x1D,0x29,0xC5,0x89,0x6F,0xB7,0x62,0x0E,0xAA,0x18,0xBE,0x1B}, + {0xFC,0x56,0x3E,0x4B,0xC6,0xD2,0x79,0x20,0x9A,0xDB,0xC0,0xFE,0x78,0xCD,0x5A,0xF4}, + {0x1F,0xDD,0xA8,0x33,0x88,0x07,0xC7,0x31,0xB1,0x12,0x10,0x59,0x27,0x80,0xEC,0x5F}, + {0x60,0x51,0x7F,0xA9,0x19,0xB5,0x4A,0x0D,0x2D,0xE5,0x7A,0x9F,0x93,0xC9,0x9C,0xEF}, + {0xA0,0xE0,0x3B,0x4D,0xAE,0x2A,0xF5,0xB0,0xC8,0xEB,0xBB,0x3C,0x83,0x53,0x99,0x61}, + {0x17,0x2B,0x04,0x7E,0xBA,0x77,0xD6,0x26,0xE1,0x69,0x14,0x63,0x55,0x21,0x0C,0x7D} +}; + +// This table stores pre-calculated values for all possible GF(2^8) calculations.This +// table is only used by the (Inv)MixColumns steps. +// USAGE: The second index (column) is the coefficient of multiplication. Only 7 different +// coefficients are used: 0x01, 0x02, 0x03, 0x09, 0x0b, 0x0d, 0x0e, but multiplication by +// 1 is negligible leaving only 6 coefficients. Each column of the table is devoted to one +// of these coefficients, in the ascending order of value, from values 0x00 to 0xFF. +static const BYTE gf_mul[256][6] = { + {0x00,0x00,0x00,0x00,0x00,0x00},{0x02,0x03,0x09,0x0b,0x0d,0x0e}, + {0x04,0x06,0x12,0x16,0x1a,0x1c},{0x06,0x05,0x1b,0x1d,0x17,0x12}, + {0x08,0x0c,0x24,0x2c,0x34,0x38},{0x0a,0x0f,0x2d,0x27,0x39,0x36}, + {0x0c,0x0a,0x36,0x3a,0x2e,0x24},{0x0e,0x09,0x3f,0x31,0x23,0x2a}, + {0x10,0x18,0x48,0x58,0x68,0x70},{0x12,0x1b,0x41,0x53,0x65,0x7e}, + {0x14,0x1e,0x5a,0x4e,0x72,0x6c},{0x16,0x1d,0x53,0x45,0x7f,0x62}, + {0x18,0x14,0x6c,0x74,0x5c,0x48},{0x1a,0x17,0x65,0x7f,0x51,0x46}, + {0x1c,0x12,0x7e,0x62,0x46,0x54},{0x1e,0x11,0x77,0x69,0x4b,0x5a}, + {0x20,0x30,0x90,0xb0,0xd0,0xe0},{0x22,0x33,0x99,0xbb,0xdd,0xee}, + {0x24,0x36,0x82,0xa6,0xca,0xfc},{0x26,0x35,0x8b,0xad,0xc7,0xf2}, + {0x28,0x3c,0xb4,0x9c,0xe4,0xd8},{0x2a,0x3f,0xbd,0x97,0xe9,0xd6}, + {0x2c,0x3a,0xa6,0x8a,0xfe,0xc4},{0x2e,0x39,0xaf,0x81,0xf3,0xca}, + {0x30,0x28,0xd8,0xe8,0xb8,0x90},{0x32,0x2b,0xd1,0xe3,0xb5,0x9e}, + {0x34,0x2e,0xca,0xfe,0xa2,0x8c},{0x36,0x2d,0xc3,0xf5,0xaf,0x82}, + {0x38,0x24,0xfc,0xc4,0x8c,0xa8},{0x3a,0x27,0xf5,0xcf,0x81,0xa6}, + {0x3c,0x22,0xee,0xd2,0x96,0xb4},{0x3e,0x21,0xe7,0xd9,0x9b,0xba}, + {0x40,0x60,0x3b,0x7b,0xbb,0xdb},{0x42,0x63,0x32,0x70,0xb6,0xd5}, + {0x44,0x66,0x29,0x6d,0xa1,0xc7},{0x46,0x65,0x20,0x66,0xac,0xc9}, + {0x48,0x6c,0x1f,0x57,0x8f,0xe3},{0x4a,0x6f,0x16,0x5c,0x82,0xed}, + {0x4c,0x6a,0x0d,0x41,0x95,0xff},{0x4e,0x69,0x04,0x4a,0x98,0xf1}, + {0x50,0x78,0x73,0x23,0xd3,0xab},{0x52,0x7b,0x7a,0x28,0xde,0xa5}, + {0x54,0x7e,0x61,0x35,0xc9,0xb7},{0x56,0x7d,0x68,0x3e,0xc4,0xb9}, + {0x58,0x74,0x57,0x0f,0xe7,0x93},{0x5a,0x77,0x5e,0x04,0xea,0x9d}, + {0x5c,0x72,0x45,0x19,0xfd,0x8f},{0x5e,0x71,0x4c,0x12,0xf0,0x81}, + {0x60,0x50,0xab,0xcb,0x6b,0x3b},{0x62,0x53,0xa2,0xc0,0x66,0x35}, + {0x64,0x56,0xb9,0xdd,0x71,0x27},{0x66,0x55,0xb0,0xd6,0x7c,0x29}, + {0x68,0x5c,0x8f,0xe7,0x5f,0x03},{0x6a,0x5f,0x86,0xec,0x52,0x0d}, + {0x6c,0x5a,0x9d,0xf1,0x45,0x1f},{0x6e,0x59,0x94,0xfa,0x48,0x11}, + {0x70,0x48,0xe3,0x93,0x03,0x4b},{0x72,0x4b,0xea,0x98,0x0e,0x45}, + {0x74,0x4e,0xf1,0x85,0x19,0x57},{0x76,0x4d,0xf8,0x8e,0x14,0x59}, + {0x78,0x44,0xc7,0xbf,0x37,0x73},{0x7a,0x47,0xce,0xb4,0x3a,0x7d}, + {0x7c,0x42,0xd5,0xa9,0x2d,0x6f},{0x7e,0x41,0xdc,0xa2,0x20,0x61}, + {0x80,0xc0,0x76,0xf6,0x6d,0xad},{0x82,0xc3,0x7f,0xfd,0x60,0xa3}, + {0x84,0xc6,0x64,0xe0,0x77,0xb1},{0x86,0xc5,0x6d,0xeb,0x7a,0xbf}, + {0x88,0xcc,0x52,0xda,0x59,0x95},{0x8a,0xcf,0x5b,0xd1,0x54,0x9b}, + {0x8c,0xca,0x40,0xcc,0x43,0x89},{0x8e,0xc9,0x49,0xc7,0x4e,0x87}, + {0x90,0xd8,0x3e,0xae,0x05,0xdd},{0x92,0xdb,0x37,0xa5,0x08,0xd3}, + {0x94,0xde,0x2c,0xb8,0x1f,0xc1},{0x96,0xdd,0x25,0xb3,0x12,0xcf}, + {0x98,0xd4,0x1a,0x82,0x31,0xe5},{0x9a,0xd7,0x13,0x89,0x3c,0xeb}, + {0x9c,0xd2,0x08,0x94,0x2b,0xf9},{0x9e,0xd1,0x01,0x9f,0x26,0xf7}, + {0xa0,0xf0,0xe6,0x46,0xbd,0x4d},{0xa2,0xf3,0xef,0x4d,0xb0,0x43}, + {0xa4,0xf6,0xf4,0x50,0xa7,0x51},{0xa6,0xf5,0xfd,0x5b,0xaa,0x5f}, + {0xa8,0xfc,0xc2,0x6a,0x89,0x75},{0xaa,0xff,0xcb,0x61,0x84,0x7b}, + {0xac,0xfa,0xd0,0x7c,0x93,0x69},{0xae,0xf9,0xd9,0x77,0x9e,0x67}, + {0xb0,0xe8,0xae,0x1e,0xd5,0x3d},{0xb2,0xeb,0xa7,0x15,0xd8,0x33}, + {0xb4,0xee,0xbc,0x08,0xcf,0x21},{0xb6,0xed,0xb5,0x03,0xc2,0x2f}, + {0xb8,0xe4,0x8a,0x32,0xe1,0x05},{0xba,0xe7,0x83,0x39,0xec,0x0b}, + {0xbc,0xe2,0x98,0x24,0xfb,0x19},{0xbe,0xe1,0x91,0x2f,0xf6,0x17}, + {0xc0,0xa0,0x4d,0x8d,0xd6,0x76},{0xc2,0xa3,0x44,0x86,0xdb,0x78}, + {0xc4,0xa6,0x5f,0x9b,0xcc,0x6a},{0xc6,0xa5,0x56,0x90,0xc1,0x64}, + {0xc8,0xac,0x69,0xa1,0xe2,0x4e},{0xca,0xaf,0x60,0xaa,0xef,0x40}, + {0xcc,0xaa,0x7b,0xb7,0xf8,0x52},{0xce,0xa9,0x72,0xbc,0xf5,0x5c}, + {0xd0,0xb8,0x05,0xd5,0xbe,0x06},{0xd2,0xbb,0x0c,0xde,0xb3,0x08}, + {0xd4,0xbe,0x17,0xc3,0xa4,0x1a},{0xd6,0xbd,0x1e,0xc8,0xa9,0x14}, + {0xd8,0xb4,0x21,0xf9,0x8a,0x3e},{0xda,0xb7,0x28,0xf2,0x87,0x30}, + {0xdc,0xb2,0x33,0xef,0x90,0x22},{0xde,0xb1,0x3a,0xe4,0x9d,0x2c}, + {0xe0,0x90,0xdd,0x3d,0x06,0x96},{0xe2,0x93,0xd4,0x36,0x0b,0x98}, + {0xe4,0x96,0xcf,0x2b,0x1c,0x8a},{0xe6,0x95,0xc6,0x20,0x11,0x84}, + {0xe8,0x9c,0xf9,0x11,0x32,0xae},{0xea,0x9f,0xf0,0x1a,0x3f,0xa0}, + {0xec,0x9a,0xeb,0x07,0x28,0xb2},{0xee,0x99,0xe2,0x0c,0x25,0xbc}, + {0xf0,0x88,0x95,0x65,0x6e,0xe6},{0xf2,0x8b,0x9c,0x6e,0x63,0xe8}, + {0xf4,0x8e,0x87,0x73,0x74,0xfa},{0xf6,0x8d,0x8e,0x78,0x79,0xf4}, + {0xf8,0x84,0xb1,0x49,0x5a,0xde},{0xfa,0x87,0xb8,0x42,0x57,0xd0}, + {0xfc,0x82,0xa3,0x5f,0x40,0xc2},{0xfe,0x81,0xaa,0x54,0x4d,0xcc}, + {0x1b,0x9b,0xec,0xf7,0xda,0x41},{0x19,0x98,0xe5,0xfc,0xd7,0x4f}, + {0x1f,0x9d,0xfe,0xe1,0xc0,0x5d},{0x1d,0x9e,0xf7,0xea,0xcd,0x53}, + {0x13,0x97,0xc8,0xdb,0xee,0x79},{0x11,0x94,0xc1,0xd0,0xe3,0x77}, + {0x17,0x91,0xda,0xcd,0xf4,0x65},{0x15,0x92,0xd3,0xc6,0xf9,0x6b}, + {0x0b,0x83,0xa4,0xaf,0xb2,0x31},{0x09,0x80,0xad,0xa4,0xbf,0x3f}, + {0x0f,0x85,0xb6,0xb9,0xa8,0x2d},{0x0d,0x86,0xbf,0xb2,0xa5,0x23}, + {0x03,0x8f,0x80,0x83,0x86,0x09},{0x01,0x8c,0x89,0x88,0x8b,0x07}, + {0x07,0x89,0x92,0x95,0x9c,0x15},{0x05,0x8a,0x9b,0x9e,0x91,0x1b}, + {0x3b,0xab,0x7c,0x47,0x0a,0xa1},{0x39,0xa8,0x75,0x4c,0x07,0xaf}, + {0x3f,0xad,0x6e,0x51,0x10,0xbd},{0x3d,0xae,0x67,0x5a,0x1d,0xb3}, + {0x33,0xa7,0x58,0x6b,0x3e,0x99},{0x31,0xa4,0x51,0x60,0x33,0x97}, + {0x37,0xa1,0x4a,0x7d,0x24,0x85},{0x35,0xa2,0x43,0x76,0x29,0x8b}, + {0x2b,0xb3,0x34,0x1f,0x62,0xd1},{0x29,0xb0,0x3d,0x14,0x6f,0xdf}, + {0x2f,0xb5,0x26,0x09,0x78,0xcd},{0x2d,0xb6,0x2f,0x02,0x75,0xc3}, + {0x23,0xbf,0x10,0x33,0x56,0xe9},{0x21,0xbc,0x19,0x38,0x5b,0xe7}, + {0x27,0xb9,0x02,0x25,0x4c,0xf5},{0x25,0xba,0x0b,0x2e,0x41,0xfb}, + {0x5b,0xfb,0xd7,0x8c,0x61,0x9a},{0x59,0xf8,0xde,0x87,0x6c,0x94}, + {0x5f,0xfd,0xc5,0x9a,0x7b,0x86},{0x5d,0xfe,0xcc,0x91,0x76,0x88}, + {0x53,0xf7,0xf3,0xa0,0x55,0xa2},{0x51,0xf4,0xfa,0xab,0x58,0xac}, + {0x57,0xf1,0xe1,0xb6,0x4f,0xbe},{0x55,0xf2,0xe8,0xbd,0x42,0xb0}, + {0x4b,0xe3,0x9f,0xd4,0x09,0xea},{0x49,0xe0,0x96,0xdf,0x04,0xe4}, + {0x4f,0xe5,0x8d,0xc2,0x13,0xf6},{0x4d,0xe6,0x84,0xc9,0x1e,0xf8}, + {0x43,0xef,0xbb,0xf8,0x3d,0xd2},{0x41,0xec,0xb2,0xf3,0x30,0xdc}, + {0x47,0xe9,0xa9,0xee,0x27,0xce},{0x45,0xea,0xa0,0xe5,0x2a,0xc0}, + {0x7b,0xcb,0x47,0x3c,0xb1,0x7a},{0x79,0xc8,0x4e,0x37,0xbc,0x74}, + {0x7f,0xcd,0x55,0x2a,0xab,0x66},{0x7d,0xce,0x5c,0x21,0xa6,0x68}, + {0x73,0xc7,0x63,0x10,0x85,0x42},{0x71,0xc4,0x6a,0x1b,0x88,0x4c}, + {0x77,0xc1,0x71,0x06,0x9f,0x5e},{0x75,0xc2,0x78,0x0d,0x92,0x50}, + {0x6b,0xd3,0x0f,0x64,0xd9,0x0a},{0x69,0xd0,0x06,0x6f,0xd4,0x04}, + {0x6f,0xd5,0x1d,0x72,0xc3,0x16},{0x6d,0xd6,0x14,0x79,0xce,0x18}, + {0x63,0xdf,0x2b,0x48,0xed,0x32},{0x61,0xdc,0x22,0x43,0xe0,0x3c}, + {0x67,0xd9,0x39,0x5e,0xf7,0x2e},{0x65,0xda,0x30,0x55,0xfa,0x20}, + {0x9b,0x5b,0x9a,0x01,0xb7,0xec},{0x99,0x58,0x93,0x0a,0xba,0xe2}, + {0x9f,0x5d,0x88,0x17,0xad,0xf0},{0x9d,0x5e,0x81,0x1c,0xa0,0xfe}, + {0x93,0x57,0xbe,0x2d,0x83,0xd4},{0x91,0x54,0xb7,0x26,0x8e,0xda}, + {0x97,0x51,0xac,0x3b,0x99,0xc8},{0x95,0x52,0xa5,0x30,0x94,0xc6}, + {0x8b,0x43,0xd2,0x59,0xdf,0x9c},{0x89,0x40,0xdb,0x52,0xd2,0x92}, + {0x8f,0x45,0xc0,0x4f,0xc5,0x80},{0x8d,0x46,0xc9,0x44,0xc8,0x8e}, + {0x83,0x4f,0xf6,0x75,0xeb,0xa4},{0x81,0x4c,0xff,0x7e,0xe6,0xaa}, + {0x87,0x49,0xe4,0x63,0xf1,0xb8},{0x85,0x4a,0xed,0x68,0xfc,0xb6}, + {0xbb,0x6b,0x0a,0xb1,0x67,0x0c},{0xb9,0x68,0x03,0xba,0x6a,0x02}, + {0xbf,0x6d,0x18,0xa7,0x7d,0x10},{0xbd,0x6e,0x11,0xac,0x70,0x1e}, + {0xb3,0x67,0x2e,0x9d,0x53,0x34},{0xb1,0x64,0x27,0x96,0x5e,0x3a}, + {0xb7,0x61,0x3c,0x8b,0x49,0x28},{0xb5,0x62,0x35,0x80,0x44,0x26}, + {0xab,0x73,0x42,0xe9,0x0f,0x7c},{0xa9,0x70,0x4b,0xe2,0x02,0x72}, + {0xaf,0x75,0x50,0xff,0x15,0x60},{0xad,0x76,0x59,0xf4,0x18,0x6e}, + {0xa3,0x7f,0x66,0xc5,0x3b,0x44},{0xa1,0x7c,0x6f,0xce,0x36,0x4a}, + {0xa7,0x79,0x74,0xd3,0x21,0x58},{0xa5,0x7a,0x7d,0xd8,0x2c,0x56}, + {0xdb,0x3b,0xa1,0x7a,0x0c,0x37},{0xd9,0x38,0xa8,0x71,0x01,0x39}, + {0xdf,0x3d,0xb3,0x6c,0x16,0x2b},{0xdd,0x3e,0xba,0x67,0x1b,0x25}, + {0xd3,0x37,0x85,0x56,0x38,0x0f},{0xd1,0x34,0x8c,0x5d,0x35,0x01}, + {0xd7,0x31,0x97,0x40,0x22,0x13},{0xd5,0x32,0x9e,0x4b,0x2f,0x1d}, + {0xcb,0x23,0xe9,0x22,0x64,0x47},{0xc9,0x20,0xe0,0x29,0x69,0x49}, + {0xcf,0x25,0xfb,0x34,0x7e,0x5b},{0xcd,0x26,0xf2,0x3f,0x73,0x55}, + {0xc3,0x2f,0xcd,0x0e,0x50,0x7f},{0xc1,0x2c,0xc4,0x05,0x5d,0x71}, + {0xc7,0x29,0xdf,0x18,0x4a,0x63},{0xc5,0x2a,0xd6,0x13,0x47,0x6d}, + {0xfb,0x0b,0x31,0xca,0xdc,0xd7},{0xf9,0x08,0x38,0xc1,0xd1,0xd9}, + {0xff,0x0d,0x23,0xdc,0xc6,0xcb},{0xfd,0x0e,0x2a,0xd7,0xcb,0xc5}, + {0xf3,0x07,0x15,0xe6,0xe8,0xef},{0xf1,0x04,0x1c,0xed,0xe5,0xe1}, + {0xf7,0x01,0x07,0xf0,0xf2,0xf3},{0xf5,0x02,0x0e,0xfb,0xff,0xfd}, + {0xeb,0x13,0x79,0x92,0xb4,0xa7},{0xe9,0x10,0x70,0x99,0xb9,0xa9}, + {0xef,0x15,0x6b,0x84,0xae,0xbb},{0xed,0x16,0x62,0x8f,0xa3,0xb5}, + {0xe3,0x1f,0x5d,0xbe,0x80,0x9f},{0xe1,0x1c,0x54,0xb5,0x8d,0x91}, + {0xe7,0x19,0x4f,0xa8,0x9a,0x83},{0xe5,0x1a,0x46,0xa3,0x97,0x8d} +}; + +/*********************** FUNCTION DEFINITIONS ***********************/ +// XORs the in and out buffers, storing the result in out. Length is in bytes. +void xor_buf(const BYTE in[], BYTE out[], size_t len) +{ + size_t idx; + + for (idx = 0; idx < len; idx++) + out[idx] ^= in[idx]; +} + +/******************* +* AES - CBC +*******************/ +int aes_encrypt_cbc(const BYTE in[], size_t in_len, BYTE out[], const WORD key[], int keysize, const BYTE iv[]) +{ + BYTE buf_in[AES_BLOCK_SIZE], buf_out[AES_BLOCK_SIZE]; + int blocks, idx; + + if (in_len % AES_BLOCK_SIZE != 0) + return(FALSE); + + blocks = in_len / AES_BLOCK_SIZE; + + memcpy(buf_out, iv, AES_BLOCK_SIZE); + + for (idx = 0; idx < blocks; idx++) { + memcpy(buf_in, &in[idx * AES_BLOCK_SIZE], AES_BLOCK_SIZE); + xor_buf(buf_out, buf_in, AES_BLOCK_SIZE); + aes_encrypt(buf_in, buf_out, key, keysize); + memcpy(&out[idx * AES_BLOCK_SIZE], buf_out, AES_BLOCK_SIZE); + } + + return(TRUE); +} + +int aes_encrypt_cbc_mac(const BYTE in[], size_t in_len, BYTE out[], const WORD key[], int keysize, const BYTE iv[]) +{ + BYTE buf_in[AES_BLOCK_SIZE], buf_out[AES_BLOCK_SIZE]; + int blocks, idx; + + if (in_len % AES_BLOCK_SIZE != 0) + return(FALSE); + + blocks = in_len / AES_BLOCK_SIZE; + + memcpy(buf_out, iv, AES_BLOCK_SIZE); + + for (idx = 0; idx < blocks; idx++) { + memcpy(buf_in, &in[idx * AES_BLOCK_SIZE], AES_BLOCK_SIZE); + xor_buf(buf_out, buf_in, AES_BLOCK_SIZE); + aes_encrypt(buf_in, buf_out, key, keysize); + // Do not output all encrypted blocks. + } + + memcpy(out, buf_out, AES_BLOCK_SIZE); // Only output the last block. + + return(TRUE); +} + +// No need for an aes_decrypt_cbc() for just CCM. + +/******************* +* AES - CTR +*******************/ +void increment_iv(BYTE iv[], int counter_size) +{ + int idx; + + // Use counter_size bytes at the end of the IV as the big-endian integer to increment. + for (idx = AES_BLOCK_SIZE - 1; idx >= AES_BLOCK_SIZE - counter_size; idx--) { + iv[idx]++; + if (iv[idx] != 0 || idx == AES_BLOCK_SIZE - counter_size) + break; + } +} + +// Performs the encryption in-place, the input and output buffers may be the same. +// Input may be an arbitrary length (in bytes). +void aes_encrypt_ctr(const BYTE in[], size_t in_len, BYTE out[], const WORD key[], int keysize, const BYTE iv[]) +{ + size_t idx = 0, last_block_length; + BYTE iv_buf[AES_BLOCK_SIZE], out_buf[AES_BLOCK_SIZE]; + + if (in != out) + memcpy(out, in, in_len); + + memcpy(iv_buf, iv, AES_BLOCK_SIZE); + last_block_length = in_len - AES_BLOCK_SIZE; + + if (in_len > AES_BLOCK_SIZE) { + for (idx = 0; idx < last_block_length; idx += AES_BLOCK_SIZE) { + aes_encrypt(iv_buf, out_buf, key, keysize); + xor_buf(out_buf, &out[idx], AES_BLOCK_SIZE); + increment_iv(iv_buf, AES_BLOCK_SIZE); + } + } + + aes_encrypt(iv_buf, out_buf, key, keysize); + xor_buf(out_buf, &out[idx], in_len - idx); // Use the Most Significant bytes. +} + +void aes_decrypt_ctr(const BYTE in[], size_t in_len, BYTE out[], const WORD key[], int keysize, const BYTE iv[]) +{ + // CTR encryption is its own inverse function. + aes_encrypt_ctr(in, in_len, out, key, keysize, iv); +} + +/******************* +* AES - CCM +*******************/ +// out_len = payload_len + assoc_len +int aes_encrypt_ccm(const BYTE payload[], WORD payload_len, const BYTE assoc[], unsigned short assoc_len, + const BYTE nonce[], unsigned short nonce_len, BYTE out[], WORD *out_len, + WORD mac_len, const BYTE key_str[], int keysize) +{ + BYTE temp_iv[AES_BLOCK_SIZE], counter[AES_BLOCK_SIZE], mac[16], *buf; + int end_of_buf, payload_len_store_size; + WORD key[60]; + + if (mac_len != 4 && mac_len != 6 && mac_len != 8 && mac_len != 10 && + mac_len != 12 && mac_len != 14 && mac_len != 16) + return(FALSE); + + if (nonce_len < 7 || nonce_len > 13) + return(FALSE); + + if (assoc_len > 32768 /* = 2^15 */) + return(FALSE); + + buf = (BYTE*)malloc(payload_len + assoc_len + 48 /*Round both payload and associated data up a block size and add an extra block.*/); + if (! buf) + return(FALSE); + + // Prepare the key for usage. + aes_key_setup(key_str, key, keysize); + + // Format the first block of the formatted data. + payload_len_store_size = AES_BLOCK_SIZE - 1 - nonce_len; + ccm_prepare_first_format_blk(buf, assoc_len, payload_len, payload_len_store_size, mac_len, nonce, nonce_len); + end_of_buf = AES_BLOCK_SIZE; + + // Format the Associated Data, aka, assoc[]. + ccm_format_assoc_data(buf, &end_of_buf, assoc, assoc_len); + + // Format the Payload, aka payload[]. + ccm_format_payload_data(buf, &end_of_buf, payload, payload_len); + + // Create the first counter block. + ccm_prepare_first_ctr_blk(counter, nonce, nonce_len, payload_len_store_size); + + // Perform the CBC operation with an IV of zeros on the formatted buffer to calculate the MAC. + memset(temp_iv, 0, AES_BLOCK_SIZE); + aes_encrypt_cbc_mac(buf, end_of_buf, mac, key, keysize, temp_iv); + + // Copy the Payload and MAC to the output buffer. + memcpy(out, payload, payload_len); + memcpy(&out[payload_len], mac, mac_len); + + // Encrypt the Payload with CTR mode with a counter starting at 1. + memcpy(temp_iv, counter, AES_BLOCK_SIZE); + increment_iv(temp_iv, AES_BLOCK_SIZE - 1 - mac_len); // Last argument is the byte size of the counting portion of the counter block. /*BUG?*/ + aes_encrypt_ctr(out, payload_len, out, key, keysize, temp_iv); + + // Encrypt the MAC with CTR mode with a counter starting at 0. + aes_encrypt_ctr(&out[payload_len], mac_len, &out[payload_len], key, keysize, counter); + + free(buf); + *out_len = payload_len + mac_len; + + return(TRUE); +} + +// plaintext_len = ciphertext_len - mac_len +// Needs a flag for whether the MAC matches. +int aes_decrypt_ccm(const BYTE ciphertext[], WORD ciphertext_len, const BYTE assoc[], unsigned short assoc_len, + const BYTE nonce[], unsigned short nonce_len, BYTE plaintext[], WORD *plaintext_len, + WORD mac_len, int *mac_auth, const BYTE key_str[], int keysize) +{ + BYTE temp_iv[AES_BLOCK_SIZE], counter[AES_BLOCK_SIZE], mac[16], mac_buf[16], *buf; + int end_of_buf, plaintext_len_store_size; + WORD key[60]; + + if (ciphertext_len <= mac_len) + return(FALSE); + + buf = (BYTE*)malloc(assoc_len + ciphertext_len /*ciphertext_len = plaintext_len + mac_len*/ + 48); + if (! buf) + return(FALSE); + + // Prepare the key for usage. + aes_key_setup(key_str, key, keysize); + + // Copy the plaintext and MAC to the output buffers. + *plaintext_len = ciphertext_len - mac_len; + plaintext_len_store_size = AES_BLOCK_SIZE - 1 - nonce_len; + memcpy(plaintext, ciphertext, *plaintext_len); + memcpy(mac, &ciphertext[*plaintext_len], mac_len); + + // Prepare the first counter block for use in decryption. + ccm_prepare_first_ctr_blk(counter, nonce, nonce_len, plaintext_len_store_size); + + // Decrypt the Payload with CTR mode with a counter starting at 1. + memcpy(temp_iv, counter, AES_BLOCK_SIZE); + increment_iv(temp_iv, AES_BLOCK_SIZE - 1 - mac_len); // (AES_BLOCK_SIZE - 1 - mac_len) is the byte size of the counting portion of the counter block. + aes_decrypt_ctr(plaintext, *plaintext_len, plaintext, key, keysize, temp_iv); + + // Setting mac_auth to NULL disables the authentication check. + if (mac_auth != NULL) { + // Decrypt the MAC with CTR mode with a counter starting at 0. + aes_decrypt_ctr(mac, mac_len, mac, key, keysize, counter); + + // Format the first block of the formatted data. + plaintext_len_store_size = AES_BLOCK_SIZE - 1 - nonce_len; + ccm_prepare_first_format_blk(buf, assoc_len, *plaintext_len, plaintext_len_store_size, mac_len, nonce, nonce_len); + end_of_buf = AES_BLOCK_SIZE; + + // Format the Associated Data into the authentication buffer. + ccm_format_assoc_data(buf, &end_of_buf, assoc, assoc_len); + + // Format the Payload into the authentication buffer. + ccm_format_payload_data(buf, &end_of_buf, plaintext, *plaintext_len); + + // Perform the CBC operation with an IV of zeros on the formatted buffer to calculate the MAC. + memset(temp_iv, 0, AES_BLOCK_SIZE); + aes_encrypt_cbc_mac(buf, end_of_buf, mac_buf, key, keysize, temp_iv); + + // Compare the calculated MAC against the MAC embedded in the ciphertext to see if they are the same. + if (! memcmp(mac, mac_buf, mac_len)) { + *mac_auth = TRUE; + } + else { + *mac_auth = FALSE; + memset(plaintext, 0, *plaintext_len); + } + } + + free(buf); + + return(TRUE); +} + +// Creates the first counter block. First byte is flags, then the nonce, then the incremented part. +void ccm_prepare_first_ctr_blk(BYTE counter[], const BYTE nonce[], int nonce_len, int payload_len_store_size) +{ + memset(counter, 0, AES_BLOCK_SIZE); + counter[0] = (payload_len_store_size - 1) & 0x07; + memcpy(&counter[1], nonce, nonce_len); +} + +void ccm_prepare_first_format_blk(BYTE buf[], int assoc_len, int payload_len, int payload_len_store_size, int mac_len, const BYTE nonce[], int nonce_len) +{ + // Set the flags for the first byte of the first block. + buf[0] = ((((mac_len - 2) / 2) & 0x07) << 3) | ((payload_len_store_size - 1) & 0x07); + if (assoc_len > 0) + buf[0] += 0x40; + // Format the rest of the first block, storing the nonce and the size of the payload. + memcpy(&buf[1], nonce, nonce_len); + memset(&buf[1 + nonce_len], 0, AES_BLOCK_SIZE - 1 - nonce_len); + buf[15] = payload_len & 0x000000FF; + buf[14] = (payload_len >> 8) & 0x000000FF; +} + +void ccm_format_assoc_data(BYTE buf[], int *end_of_buf, const BYTE assoc[], int assoc_len) +{ + int pad; + + buf[*end_of_buf + 1] = assoc_len & 0x00FF; + buf[*end_of_buf] = (assoc_len >> 8) & 0x00FF; + *end_of_buf += 2; + memcpy(&buf[*end_of_buf], assoc, assoc_len); + *end_of_buf += assoc_len; + pad = AES_BLOCK_SIZE - (*end_of_buf % AES_BLOCK_SIZE); /*BUG?*/ + memset(&buf[*end_of_buf], 0, pad); + *end_of_buf += pad; +} + +void ccm_format_payload_data(BYTE buf[], int *end_of_buf, const BYTE payload[], int payload_len) +{ + int pad; + + memcpy(&buf[*end_of_buf], payload, payload_len); + *end_of_buf += payload_len; + pad = *end_of_buf % AES_BLOCK_SIZE; + if (pad != 0) + pad = AES_BLOCK_SIZE - pad; + memset(&buf[*end_of_buf], 0, pad); + *end_of_buf += pad; +} + +/******************* +* AES +*******************/ +///////////////// +// KEY EXPANSION +///////////////// + +// Substitutes a word using the AES S-Box. +WORD SubWord(WORD word) +{ + unsigned int result; + + result = (int)aes_sbox[(word >> 4) & 0x0000000F][word & 0x0000000F]; + result += (int)aes_sbox[(word >> 12) & 0x0000000F][(word >> 8) & 0x0000000F] << 8; + result += (int)aes_sbox[(word >> 20) & 0x0000000F][(word >> 16) & 0x0000000F] << 16; + result += (int)aes_sbox[(word >> 28) & 0x0000000F][(word >> 24) & 0x0000000F] << 24; + return(result); +} + +// Performs the action of generating the keys that will be used in every round of +// encryption. "key" is the user-supplied input key, "w" is the output key schedule, +// "keysize" is the length in bits of "key", must be 128, 192, or 256. +void aes_key_setup(const BYTE key[], WORD w[], int keysize) +{ + int Nb=4,Nr,Nk,idx; + WORD temp,Rcon[]={0x01000000,0x02000000,0x04000000,0x08000000,0x10000000,0x20000000, + 0x40000000,0x80000000,0x1b000000,0x36000000,0x6c000000,0xd8000000, + 0xab000000,0x4d000000,0x9a000000}; + + switch (keysize) { + case 128: Nr = 10; Nk = 4; break; + case 192: Nr = 12; Nk = 6; break; + case 256: Nr = 14; Nk = 8; break; + default: return; + } + + for (idx=0; idx < Nk; ++idx) { + w[idx] = ((key[4 * idx]) << 24) | ((key[4 * idx + 1]) << 16) | + ((key[4 * idx + 2]) << 8) | ((key[4 * idx + 3])); + } + + for (idx = Nk; idx < Nb * (Nr+1); ++idx) { + temp = w[idx - 1]; + if ((idx % Nk) == 0) + temp = SubWord(KE_ROTWORD(temp)) ^ Rcon[(idx-1)/Nk]; + else if (Nk > 6 && (idx % Nk) == 4) + temp = SubWord(temp); + w[idx] = w[idx-Nk] ^ temp; + } +} + +///////////////// +// ADD ROUND KEY +///////////////// + +// Performs the AddRoundKey step. Each round has its own pre-generated 16-byte key in the +// form of 4 integers (the "w" array). Each integer is XOR'd by one column of the state. +// Also performs the job of InvAddRoundKey(); since the function is a simple XOR process, +// it is its own inverse. +void AddRoundKey(BYTE state[][4], const WORD w[]) +{ + BYTE subkey[4]; + + // memcpy(subkey,&w[idx],4); // Not accurate for big endian machines + // Subkey 1 + subkey[0] = w[0] >> 24; + subkey[1] = w[0] >> 16; + subkey[2] = w[0] >> 8; + subkey[3] = w[0]; + state[0][0] ^= subkey[0]; + state[1][0] ^= subkey[1]; + state[2][0] ^= subkey[2]; + state[3][0] ^= subkey[3]; + // Subkey 2 + subkey[0] = w[1] >> 24; + subkey[1] = w[1] >> 16; + subkey[2] = w[1] >> 8; + subkey[3] = w[1]; + state[0][1] ^= subkey[0]; + state[1][1] ^= subkey[1]; + state[2][1] ^= subkey[2]; + state[3][1] ^= subkey[3]; + // Subkey 3 + subkey[0] = w[2] >> 24; + subkey[1] = w[2] >> 16; + subkey[2] = w[2] >> 8; + subkey[3] = w[2]; + state[0][2] ^= subkey[0]; + state[1][2] ^= subkey[1]; + state[2][2] ^= subkey[2]; + state[3][2] ^= subkey[3]; + // Subkey 4 + subkey[0] = w[3] >> 24; + subkey[1] = w[3] >> 16; + subkey[2] = w[3] >> 8; + subkey[3] = w[3]; + state[0][3] ^= subkey[0]; + state[1][3] ^= subkey[1]; + state[2][3] ^= subkey[2]; + state[3][3] ^= subkey[3]; +} + +///////////////// +// (Inv)SubBytes +///////////////// + +// Performs the SubBytes step. All bytes in the state are substituted with a +// pre-calculated value from a lookup table. +void SubBytes(BYTE state[][4]) +{ + state[0][0] = aes_sbox[state[0][0] >> 4][state[0][0] & 0x0F]; + state[0][1] = aes_sbox[state[0][1] >> 4][state[0][1] & 0x0F]; + state[0][2] = aes_sbox[state[0][2] >> 4][state[0][2] & 0x0F]; + state[0][3] = aes_sbox[state[0][3] >> 4][state[0][3] & 0x0F]; + state[1][0] = aes_sbox[state[1][0] >> 4][state[1][0] & 0x0F]; + state[1][1] = aes_sbox[state[1][1] >> 4][state[1][1] & 0x0F]; + state[1][2] = aes_sbox[state[1][2] >> 4][state[1][2] & 0x0F]; + state[1][3] = aes_sbox[state[1][3] >> 4][state[1][3] & 0x0F]; + state[2][0] = aes_sbox[state[2][0] >> 4][state[2][0] & 0x0F]; + state[2][1] = aes_sbox[state[2][1] >> 4][state[2][1] & 0x0F]; + state[2][2] = aes_sbox[state[2][2] >> 4][state[2][2] & 0x0F]; + state[2][3] = aes_sbox[state[2][3] >> 4][state[2][3] & 0x0F]; + state[3][0] = aes_sbox[state[3][0] >> 4][state[3][0] & 0x0F]; + state[3][1] = aes_sbox[state[3][1] >> 4][state[3][1] & 0x0F]; + state[3][2] = aes_sbox[state[3][2] >> 4][state[3][2] & 0x0F]; + state[3][3] = aes_sbox[state[3][3] >> 4][state[3][3] & 0x0F]; +} + +void InvSubBytes(BYTE state[][4]) +{ + state[0][0] = aes_invsbox[state[0][0] >> 4][state[0][0] & 0x0F]; + state[0][1] = aes_invsbox[state[0][1] >> 4][state[0][1] & 0x0F]; + state[0][2] = aes_invsbox[state[0][2] >> 4][state[0][2] & 0x0F]; + state[0][3] = aes_invsbox[state[0][3] >> 4][state[0][3] & 0x0F]; + state[1][0] = aes_invsbox[state[1][0] >> 4][state[1][0] & 0x0F]; + state[1][1] = aes_invsbox[state[1][1] >> 4][state[1][1] & 0x0F]; + state[1][2] = aes_invsbox[state[1][2] >> 4][state[1][2] & 0x0F]; + state[1][3] = aes_invsbox[state[1][3] >> 4][state[1][3] & 0x0F]; + state[2][0] = aes_invsbox[state[2][0] >> 4][state[2][0] & 0x0F]; + state[2][1] = aes_invsbox[state[2][1] >> 4][state[2][1] & 0x0F]; + state[2][2] = aes_invsbox[state[2][2] >> 4][state[2][2] & 0x0F]; + state[2][3] = aes_invsbox[state[2][3] >> 4][state[2][3] & 0x0F]; + state[3][0] = aes_invsbox[state[3][0] >> 4][state[3][0] & 0x0F]; + state[3][1] = aes_invsbox[state[3][1] >> 4][state[3][1] & 0x0F]; + state[3][2] = aes_invsbox[state[3][2] >> 4][state[3][2] & 0x0F]; + state[3][3] = aes_invsbox[state[3][3] >> 4][state[3][3] & 0x0F]; +} + +///////////////// +// (Inv)ShiftRows +///////////////// + +// Performs the ShiftRows step. All rows are shifted cylindrically to the left. +void ShiftRows(BYTE state[][4]) +{ + int t; + + // Shift left by 1 + t = state[1][0]; + state[1][0] = state[1][1]; + state[1][1] = state[1][2]; + state[1][2] = state[1][3]; + state[1][3] = t; + // Shift left by 2 + t = state[2][0]; + state[2][0] = state[2][2]; + state[2][2] = t; + t = state[2][1]; + state[2][1] = state[2][3]; + state[2][3] = t; + // Shift left by 3 + t = state[3][0]; + state[3][0] = state[3][3]; + state[3][3] = state[3][2]; + state[3][2] = state[3][1]; + state[3][1] = t; +} + +// All rows are shifted cylindrically to the right. +void InvShiftRows(BYTE state[][4]) +{ + int t; + + // Shift right by 1 + t = state[1][3]; + state[1][3] = state[1][2]; + state[1][2] = state[1][1]; + state[1][1] = state[1][0]; + state[1][0] = t; + // Shift right by 2 + t = state[2][3]; + state[2][3] = state[2][1]; + state[2][1] = t; + t = state[2][2]; + state[2][2] = state[2][0]; + state[2][0] = t; + // Shift right by 3 + t = state[3][3]; + state[3][3] = state[3][0]; + state[3][0] = state[3][1]; + state[3][1] = state[3][2]; + state[3][2] = t; +} + +///////////////// +// (Inv)MixColumns +///////////////// + +// Performs the MixColums step. The state is multiplied by itself using matrix +// multiplication in a Galios Field 2^8. All multiplication is pre-computed in a table. +// Addition is equivilent to XOR. (Must always make a copy of the column as the original +// values will be destoyed.) +void MixColumns(BYTE state[][4]) +{ + BYTE col[4]; + + // Column 1 + col[0] = state[0][0]; + col[1] = state[1][0]; + col[2] = state[2][0]; + col[3] = state[3][0]; + state[0][0] = gf_mul[col[0]][0]; + state[0][0] ^= gf_mul[col[1]][1]; + state[0][0] ^= col[2]; + state[0][0] ^= col[3]; + state[1][0] = col[0]; + state[1][0] ^= gf_mul[col[1]][0]; + state[1][0] ^= gf_mul[col[2]][1]; + state[1][0] ^= col[3]; + state[2][0] = col[0]; + state[2][0] ^= col[1]; + state[2][0] ^= gf_mul[col[2]][0]; + state[2][0] ^= gf_mul[col[3]][1]; + state[3][0] = gf_mul[col[0]][1]; + state[3][0] ^= col[1]; + state[3][0] ^= col[2]; + state[3][0] ^= gf_mul[col[3]][0]; + // Column 2 + col[0] = state[0][1]; + col[1] = state[1][1]; + col[2] = state[2][1]; + col[3] = state[3][1]; + state[0][1] = gf_mul[col[0]][0]; + state[0][1] ^= gf_mul[col[1]][1]; + state[0][1] ^= col[2]; + state[0][1] ^= col[3]; + state[1][1] = col[0]; + state[1][1] ^= gf_mul[col[1]][0]; + state[1][1] ^= gf_mul[col[2]][1]; + state[1][1] ^= col[3]; + state[2][1] = col[0]; + state[2][1] ^= col[1]; + state[2][1] ^= gf_mul[col[2]][0]; + state[2][1] ^= gf_mul[col[3]][1]; + state[3][1] = gf_mul[col[0]][1]; + state[3][1] ^= col[1]; + state[3][1] ^= col[2]; + state[3][1] ^= gf_mul[col[3]][0]; + // Column 3 + col[0] = state[0][2]; + col[1] = state[1][2]; + col[2] = state[2][2]; + col[3] = state[3][2]; + state[0][2] = gf_mul[col[0]][0]; + state[0][2] ^= gf_mul[col[1]][1]; + state[0][2] ^= col[2]; + state[0][2] ^= col[3]; + state[1][2] = col[0]; + state[1][2] ^= gf_mul[col[1]][0]; + state[1][2] ^= gf_mul[col[2]][1]; + state[1][2] ^= col[3]; + state[2][2] = col[0]; + state[2][2] ^= col[1]; + state[2][2] ^= gf_mul[col[2]][0]; + state[2][2] ^= gf_mul[col[3]][1]; + state[3][2] = gf_mul[col[0]][1]; + state[3][2] ^= col[1]; + state[3][2] ^= col[2]; + state[3][2] ^= gf_mul[col[3]][0]; + // Column 4 + col[0] = state[0][3]; + col[1] = state[1][3]; + col[2] = state[2][3]; + col[3] = state[3][3]; + state[0][3] = gf_mul[col[0]][0]; + state[0][3] ^= gf_mul[col[1]][1]; + state[0][3] ^= col[2]; + state[0][3] ^= col[3]; + state[1][3] = col[0]; + state[1][3] ^= gf_mul[col[1]][0]; + state[1][3] ^= gf_mul[col[2]][1]; + state[1][3] ^= col[3]; + state[2][3] = col[0]; + state[2][3] ^= col[1]; + state[2][3] ^= gf_mul[col[2]][0]; + state[2][3] ^= gf_mul[col[3]][1]; + state[3][3] = gf_mul[col[0]][1]; + state[3][3] ^= col[1]; + state[3][3] ^= col[2]; + state[3][3] ^= gf_mul[col[3]][0]; +} + +void InvMixColumns(BYTE state[][4]) +{ + BYTE col[4]; + + // Column 1 + col[0] = state[0][0]; + col[1] = state[1][0]; + col[2] = state[2][0]; + col[3] = state[3][0]; + state[0][0] = gf_mul[col[0]][5]; + state[0][0] ^= gf_mul[col[1]][3]; + state[0][0] ^= gf_mul[col[2]][4]; + state[0][0] ^= gf_mul[col[3]][2]; + state[1][0] = gf_mul[col[0]][2]; + state[1][0] ^= gf_mul[col[1]][5]; + state[1][0] ^= gf_mul[col[2]][3]; + state[1][0] ^= gf_mul[col[3]][4]; + state[2][0] = gf_mul[col[0]][4]; + state[2][0] ^= gf_mul[col[1]][2]; + state[2][0] ^= gf_mul[col[2]][5]; + state[2][0] ^= gf_mul[col[3]][3]; + state[3][0] = gf_mul[col[0]][3]; + state[3][0] ^= gf_mul[col[1]][4]; + state[3][0] ^= gf_mul[col[2]][2]; + state[3][0] ^= gf_mul[col[3]][5]; + // Column 2 + col[0] = state[0][1]; + col[1] = state[1][1]; + col[2] = state[2][1]; + col[3] = state[3][1]; + state[0][1] = gf_mul[col[0]][5]; + state[0][1] ^= gf_mul[col[1]][3]; + state[0][1] ^= gf_mul[col[2]][4]; + state[0][1] ^= gf_mul[col[3]][2]; + state[1][1] = gf_mul[col[0]][2]; + state[1][1] ^= gf_mul[col[1]][5]; + state[1][1] ^= gf_mul[col[2]][3]; + state[1][1] ^= gf_mul[col[3]][4]; + state[2][1] = gf_mul[col[0]][4]; + state[2][1] ^= gf_mul[col[1]][2]; + state[2][1] ^= gf_mul[col[2]][5]; + state[2][1] ^= gf_mul[col[3]][3]; + state[3][1] = gf_mul[col[0]][3]; + state[3][1] ^= gf_mul[col[1]][4]; + state[3][1] ^= gf_mul[col[2]][2]; + state[3][1] ^= gf_mul[col[3]][5]; + // Column 3 + col[0] = state[0][2]; + col[1] = state[1][2]; + col[2] = state[2][2]; + col[3] = state[3][2]; + state[0][2] = gf_mul[col[0]][5]; + state[0][2] ^= gf_mul[col[1]][3]; + state[0][2] ^= gf_mul[col[2]][4]; + state[0][2] ^= gf_mul[col[3]][2]; + state[1][2] = gf_mul[col[0]][2]; + state[1][2] ^= gf_mul[col[1]][5]; + state[1][2] ^= gf_mul[col[2]][3]; + state[1][2] ^= gf_mul[col[3]][4]; + state[2][2] = gf_mul[col[0]][4]; + state[2][2] ^= gf_mul[col[1]][2]; + state[2][2] ^= gf_mul[col[2]][5]; + state[2][2] ^= gf_mul[col[3]][3]; + state[3][2] = gf_mul[col[0]][3]; + state[3][2] ^= gf_mul[col[1]][4]; + state[3][2] ^= gf_mul[col[2]][2]; + state[3][2] ^= gf_mul[col[3]][5]; + // Column 4 + col[0] = state[0][3]; + col[1] = state[1][3]; + col[2] = state[2][3]; + col[3] = state[3][3]; + state[0][3] = gf_mul[col[0]][5]; + state[0][3] ^= gf_mul[col[1]][3]; + state[0][3] ^= gf_mul[col[2]][4]; + state[0][3] ^= gf_mul[col[3]][2]; + state[1][3] = gf_mul[col[0]][2]; + state[1][3] ^= gf_mul[col[1]][5]; + state[1][3] ^= gf_mul[col[2]][3]; + state[1][3] ^= gf_mul[col[3]][4]; + state[2][3] = gf_mul[col[0]][4]; + state[2][3] ^= gf_mul[col[1]][2]; + state[2][3] ^= gf_mul[col[2]][5]; + state[2][3] ^= gf_mul[col[3]][3]; + state[3][3] = gf_mul[col[0]][3]; + state[3][3] ^= gf_mul[col[1]][4]; + state[3][3] ^= gf_mul[col[2]][2]; + state[3][3] ^= gf_mul[col[3]][5]; +} + +///////////////// +// (En/De)Crypt +///////////////// + +void aes_encrypt(const BYTE in[], BYTE out[], const WORD key[], int keysize) +{ + BYTE state[4][4]; + + // Copy input array (should be 16 bytes long) to a matrix (sequential bytes are ordered + // by row, not col) called "state" for processing. + // *** Implementation note: The official AES documentation references the state by + // column, then row. Accessing an element in C requires row then column. Thus, all state + // references in AES must have the column and row indexes reversed for C implementation. + state[0][0] = in[0]; + state[1][0] = in[1]; + state[2][0] = in[2]; + state[3][0] = in[3]; + state[0][1] = in[4]; + state[1][1] = in[5]; + state[2][1] = in[6]; + state[3][1] = in[7]; + state[0][2] = in[8]; + state[1][2] = in[9]; + state[2][2] = in[10]; + state[3][2] = in[11]; + state[0][3] = in[12]; + state[1][3] = in[13]; + state[2][3] = in[14]; + state[3][3] = in[15]; + + // Perform the necessary number of rounds. The round key is added first. + // The last round does not perform the MixColumns step. + AddRoundKey(state,&key[0]); + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[4]); + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[8]); + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[12]); + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[16]); + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[20]); + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[24]); + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[28]); + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[32]); + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[36]); + if (keysize != 128) { + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[40]); + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[44]); + if (keysize != 192) { + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[48]); + SubBytes(state); ShiftRows(state); MixColumns(state); AddRoundKey(state,&key[52]); + SubBytes(state); ShiftRows(state); AddRoundKey(state,&key[56]); + } + else { + SubBytes(state); ShiftRows(state); AddRoundKey(state,&key[48]); + } + } + else { + SubBytes(state); ShiftRows(state); AddRoundKey(state,&key[40]); + } + + // Copy the state to the output array. + out[0] = state[0][0]; + out[1] = state[1][0]; + out[2] = state[2][0]; + out[3] = state[3][0]; + out[4] = state[0][1]; + out[5] = state[1][1]; + out[6] = state[2][1]; + out[7] = state[3][1]; + out[8] = state[0][2]; + out[9] = state[1][2]; + out[10] = state[2][2]; + out[11] = state[3][2]; + out[12] = state[0][3]; + out[13] = state[1][3]; + out[14] = state[2][3]; + out[15] = state[3][3]; +} + +void aes_decrypt(const BYTE in[], BYTE out[], const WORD key[], int keysize) +{ + BYTE state[4][4]; + + // Copy the input to the state. + state[0][0] = in[0]; + state[1][0] = in[1]; + state[2][0] = in[2]; + state[3][0] = in[3]; + state[0][1] = in[4]; + state[1][1] = in[5]; + state[2][1] = in[6]; + state[3][1] = in[7]; + state[0][2] = in[8]; + state[1][2] = in[9]; + state[2][2] = in[10]; + state[3][2] = in[11]; + state[0][3] = in[12]; + state[1][3] = in[13]; + state[2][3] = in[14]; + state[3][3] = in[15]; + + // Perform the necessary number of rounds. The round key is added first. + // The last round does not perform the MixColumns step. + if (keysize > 128) { + if (keysize > 192) { + AddRoundKey(state,&key[56]); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[52]);InvMixColumns(state); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[48]);InvMixColumns(state); + } + else { + AddRoundKey(state,&key[48]); + } + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[44]);InvMixColumns(state); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[40]);InvMixColumns(state); + } + else { + AddRoundKey(state,&key[40]); + } + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[36]);InvMixColumns(state); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[32]);InvMixColumns(state); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[28]);InvMixColumns(state); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[24]);InvMixColumns(state); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[20]);InvMixColumns(state); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[16]);InvMixColumns(state); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[12]);InvMixColumns(state); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[8]);InvMixColumns(state); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[4]);InvMixColumns(state); + InvShiftRows(state);InvSubBytes(state);AddRoundKey(state,&key[0]); + + // Copy the state to the output array. + out[0] = state[0][0]; + out[1] = state[1][0]; + out[2] = state[2][0]; + out[3] = state[3][0]; + out[4] = state[0][1]; + out[5] = state[1][1]; + out[6] = state[2][1]; + out[7] = state[3][1]; + out[8] = state[0][2]; + out[9] = state[1][2]; + out[10] = state[2][2]; + out[11] = state[3][2]; + out[12] = state[0][3]; + out[13] = state[1][3]; + out[14] = state[2][3]; + out[15] = state[3][3]; +} + +/******************* +** AES DEBUGGING FUNCTIONS +*******************/ +/* +// This prints the "state" grid as a linear hex string. +void print_state(BYTE state[][4]) +{ + int idx,idx2; + + for (idx=0; idx < 4; idx++) + for (idx2=0; idx2 < 4; idx2++) + printf("%02x",state[idx2][idx]); + printf("\n"); +} + +// This prints the key (4 consecutive ints) used for a given round as a linear hex string. +void print_rnd_key(WORD key[]) +{ + int idx; + + for (idx=0; idx < 4; idx++) + printf("%08x",key[idx]); + printf("\n"); +} +*/ diff --git a/lib/crypto-algorithms/aes.h b/lib/crypto-algorithms/aes.h new file mode 100644 index 0000000..25721c8 --- /dev/null +++ b/lib/crypto-algorithms/aes.h @@ -0,0 +1,123 @@ +/*********************************************************************
+* Filename: aes.h
+* Author: Brad Conte (brad AT bradconte.com)
+* Copyright:
+* Disclaimer: This code is presented "as is" without any guarantees.
+* Details: Defines the API for the corresponding AES implementation.
+*********************************************************************/
+
+#ifndef AES_H
+#define AES_H
+
+/*************************** HEADER FILES ***************************/
+#include <stddef.h>
+
+/****************************** MACROS ******************************/
+#define AES_BLOCK_SIZE 16 // AES operates on 16 bytes at a time
+
+/**************************** DATA TYPES ****************************/
+typedef unsigned char BYTE; // 8-bit byte
+typedef unsigned int WORD; // 32-bit word, change to "long" for 16-bit machines
+
+/*********************** FUNCTION DECLARATIONS **********************/
+///////////////////
+// AES
+///////////////////
+// Key setup must be done before any AES en/de-cryption functions can be used.
+void aes_key_setup(const BYTE key[], // The key, must be 128, 192, or 256 bits
+ WORD w[], // Output key schedule to be used later
+ int keysize); // Bit length of the key, 128, 192, or 256
+
+void aes_encrypt(const BYTE in[], // 16 bytes of plaintext
+ BYTE out[], // 16 bytes of ciphertext
+ const WORD key[], // From the key setup
+ int keysize); // Bit length of the key, 128, 192, or 256
+
+void aes_decrypt(const BYTE in[], // 16 bytes of ciphertext
+ BYTE out[], // 16 bytes of plaintext
+ const WORD key[], // From the key setup
+ int keysize); // Bit length of the key, 128, 192, or 256
+
+///////////////////
+// AES - CBC
+///////////////////
+int aes_encrypt_cbc(const BYTE in[], // Plaintext
+ size_t in_len, // Must be a multiple of AES_BLOCK_SIZE
+ BYTE out[], // Ciphertext, same length as plaintext
+ const WORD key[], // From the key setup
+ int keysize, // Bit length of the key, 128, 192, or 256
+ const BYTE iv[]); // IV, must be AES_BLOCK_SIZE bytes long
+
+// Only output the CBC-MAC of the input.
+int aes_encrypt_cbc_mac(const BYTE in[], // plaintext
+ size_t in_len, // Must be a multiple of AES_BLOCK_SIZE
+ BYTE out[], // Output MAC
+ const WORD key[], // From the key setup
+ int keysize, // Bit length of the key, 128, 192, or 256
+ const BYTE iv[]); // IV, must be AES_BLOCK_SIZE bytes long
+
+///////////////////
+// AES - CTR
+///////////////////
+void increment_iv(BYTE iv[], // Must be a multiple of AES_BLOCK_SIZE
+ int counter_size); // Bytes of the IV used for counting (low end)
+
+void aes_encrypt_ctr(const BYTE in[], // Plaintext
+ size_t in_len, // Any byte length
+ BYTE out[], // Ciphertext, same length as plaintext
+ const WORD key[], // From the key setup
+ int keysize, // Bit length of the key, 128, 192, or 256
+ const BYTE iv[]); // IV, must be AES_BLOCK_SIZE bytes long
+
+void aes_decrypt_ctr(const BYTE in[], // Ciphertext
+ size_t in_len, // Any byte length
+ BYTE out[], // Plaintext, same length as ciphertext
+ const WORD key[], // From the key setup
+ int keysize, // Bit length of the key, 128, 192, or 256
+ const BYTE iv[]); // IV, must be AES_BLOCK_SIZE bytes long
+
+///////////////////
+// AES - CCM
+///////////////////
+// Returns True if the input parameters do not violate any constraint.
+int aes_encrypt_ccm(const BYTE plaintext[], // IN - Plaintext.
+ WORD plaintext_len, // IN - Plaintext length.
+ const BYTE associated_data[], // IN - Associated Data included in authentication, but not encryption.
+ unsigned short associated_data_len, // IN - Associated Data length in bytes.
+ const BYTE nonce[], // IN - The Nonce to be used for encryption.
+ unsigned short nonce_len, // IN - Nonce length in bytes.
+ BYTE ciphertext[], // OUT - Ciphertext, a concatination of the plaintext and the MAC.
+ WORD *ciphertext_len, // OUT - The length of the ciphertext, always plaintext_len + mac_len.
+ WORD mac_len, // IN - The desired length of the MAC, must be 4, 6, 8, 10, 12, 14, or 16.
+ const BYTE key[], // IN - The AES key for encryption.
+ int keysize); // IN - The length of the key in bits. Valid values are 128, 192, 256.
+
+// Returns True if the input parameters do not violate any constraint.
+// Use mac_auth to ensure decryption/validation was preformed correctly.
+// If authentication does not succeed, the plaintext is zeroed out. To overwride
+// this, call with mac_auth = NULL. The proper proceedure is to decrypt with
+// authentication enabled (mac_auth != NULL) and make a second call to that
+// ignores authentication explicitly if the first call failes.
+int aes_decrypt_ccm(const BYTE ciphertext[], // IN - Ciphertext, the concatination of encrypted plaintext and MAC.
+ WORD ciphertext_len, // IN - Ciphertext length in bytes.
+ const BYTE assoc[], // IN - The Associated Data, required for authentication.
+ unsigned short assoc_len, // IN - Associated Data length in bytes.
+ const BYTE nonce[], // IN - The Nonce to use for decryption, same one as for encryption.
+ unsigned short nonce_len, // IN - Nonce length in bytes.
+ BYTE plaintext[], // OUT - The plaintext that was decrypted. Will need to be large enough to hold ciphertext_len - mac_len.
+ WORD *plaintext_len, // OUT - Length in bytes of the output plaintext, always ciphertext_len - mac_len .
+ WORD mac_len, // IN - The length of the MAC that was calculated.
+ int *mac_auth, // OUT - TRUE if authentication succeeded, FALSE if it did not. NULL pointer will ignore the authentication.
+ const BYTE key[], // IN - The AES key for decryption.
+ int keysize); // IN - The length of the key in BITS. Valid values are 128, 192, 256.
+
+///////////////////
+// Test functions
+///////////////////
+int aes_test();
+int aes_ecb_test();
+int aes_cbc_test();
+int aes_ctr_test();
+int aes_ccm_test();
+
+#endif // AES_H
diff --git a/lib/crypto-algorithms/aes_test.c b/lib/crypto-algorithms/aes_test.c new file mode 100644 index 0000000..d49726d --- /dev/null +++ b/lib/crypto-algorithms/aes_test.c @@ -0,0 +1,276 @@ +/*********************************************************************
+* Filename: aes_test.c
+* Author: Brad Conte (brad AT bradconte.com)
+* Copyright:
+* Disclaimer: This code is presented "as is" without any guarantees.
+* Details: Performs known-answer tests on the corresponding AES
+ implementation. These tests do not encompass the full
+ range of available test vectors and are not sufficient
+ for FIPS-140 certification. However, if the tests pass
+ it is very, very likely that the code is correct and was
+ compiled properly. This code also serves as
+ example usage of the functions.
+*********************************************************************/
+
+/*************************** HEADER FILES ***************************/
+#include <stdio.h>
+#include <memory.h>
+#include "aes.h"
+
+/*********************** FUNCTION DEFINITIONS ***********************/
+void print_hex(BYTE str[], int len)
+{
+ int idx;
+
+ for(idx = 0; idx < len; idx++)
+ printf("%02x", str[idx]);
+}
+
+int aes_ecb_test()
+{
+ WORD key_schedule[60], idx;
+ BYTE enc_buf[128];
+ BYTE plaintext[2][16] = {
+ {0x6b,0xc1,0xbe,0xe2,0x2e,0x40,0x9f,0x96,0xe9,0x3d,0x7e,0x11,0x73,0x93,0x17,0x2a},
+ {0xae,0x2d,0x8a,0x57,0x1e,0x03,0xac,0x9c,0x9e,0xb7,0x6f,0xac,0x45,0xaf,0x8e,0x51}
+ };
+ BYTE ciphertext[2][16] = {
+ {0xf3,0xee,0xd1,0xbd,0xb5,0xd2,0xa0,0x3c,0x06,0x4b,0x5a,0x7e,0x3d,0xb1,0x81,0xf8},
+ {0x59,0x1c,0xcb,0x10,0xd4,0x10,0xed,0x26,0xdc,0x5b,0xa7,0x4a,0x31,0x36,0x28,0x70}
+ };
+ BYTE key[1][32] = {
+ {0x60,0x3d,0xeb,0x10,0x15,0xca,0x71,0xbe,0x2b,0x73,0xae,0xf0,0x85,0x7d,0x77,0x81,0x1f,0x35,0x2c,0x07,0x3b,0x61,0x08,0xd7,0x2d,0x98,0x10,0xa3,0x09,0x14,0xdf,0xf4}
+ };
+ int pass = 1;
+
+ // Raw ECB mode.
+ //printf("* ECB mode:\n");
+ aes_key_setup(key[0], key_schedule, 256);
+ //printf( "Key : ");
+ //print_hex(key[0], 32);
+
+ for(idx = 0; idx < 2; idx++) {
+ aes_encrypt(plaintext[idx], enc_buf, key_schedule, 256);
+ //printf("\nPlaintext : ");
+ //print_hex(plaintext[idx], 16);
+ //printf("\n-encrypted to: ");
+ //print_hex(enc_buf, 16);
+ pass = pass && !memcmp(enc_buf, ciphertext[idx], 16);
+
+ aes_decrypt(ciphertext[idx], enc_buf, key_schedule, 256);
+ //printf("\nCiphertext : ");
+ //print_hex(ciphertext[idx], 16);
+ //printf("\n-decrypted to: ");
+ //print_hex(enc_buf, 16);
+ pass = pass && !memcmp(enc_buf, plaintext[idx], 16);
+
+ //printf("\n\n");
+ }
+
+ return(pass);
+}
+
+int aes_cbc_test()
+{
+ WORD key_schedule[60];
+ BYTE enc_buf[128];
+ BYTE plaintext[1][32] = {
+ {0x6b,0xc1,0xbe,0xe2,0x2e,0x40,0x9f,0x96,0xe9,0x3d,0x7e,0x11,0x73,0x93,0x17,0x2a,0xae,0x2d,0x8a,0x57,0x1e,0x03,0xac,0x9c,0x9e,0xb7,0x6f,0xac,0x45,0xaf,0x8e,0x51}
+ };
+ BYTE ciphertext[2][32] = {
+ {0xf5,0x8c,0x4c,0x04,0xd6,0xe5,0xf1,0xba,0x77,0x9e,0xab,0xfb,0x5f,0x7b,0xfb,0xd6,0x9c,0xfc,0x4e,0x96,0x7e,0xdb,0x80,0x8d,0x67,0x9f,0x77,0x7b,0xc6,0x70,0x2c,0x7d}
+ };
+ BYTE iv[1][16] = {
+ {0x00,0x01,0x02,0x03,0x04,0x05,0x06,0x07,0x08,0x09,0x0a,0x0b,0x0c,0x0d,0x0e,0x0f}
+ };
+ BYTE key[1][32] = {
+ {0x60,0x3d,0xeb,0x10,0x15,0xca,0x71,0xbe,0x2b,0x73,0xae,0xf0,0x85,0x7d,0x77,0x81,0x1f,0x35,0x2c,0x07,0x3b,0x61,0x08,0xd7,0x2d,0x98,0x10,0xa3,0x09,0x14,0xdf,0xf4}
+ };
+ int pass = 1;
+
+ //printf("* CBC mode:\n");
+ aes_key_setup(key[0], key_schedule, 256);
+
+ //printf( "Key : ");
+ //print_hex(key[0], 32);
+ //printf("\nIV : ");
+ //print_hex(iv[0], 16);
+
+ aes_encrypt_cbc(plaintext[0], 32, enc_buf, key_schedule, 256, iv[0]);
+ //printf("\nPlaintext : ");
+ //print_hex(plaintext[0], 32);
+ //printf("\n-encrypted to: ");
+ //print_hex(enc_buf, 32);
+ //printf("\nCiphertext : ");
+ //print_hex(ciphertext[0], 32);
+ pass = pass && !memcmp(enc_buf, ciphertext[0], 32);
+
+ //printf("\n\n");
+ return(pass);
+}
+
+int aes_ctr_test()
+{
+ WORD key_schedule[60];
+ BYTE enc_buf[128];
+ BYTE plaintext[1][32] = {
+ {0x6b,0xc1,0xbe,0xe2,0x2e,0x40,0x9f,0x96,0xe9,0x3d,0x7e,0x11,0x73,0x93,0x17,0x2a,0xae,0x2d,0x8a,0x57,0x1e,0x03,0xac,0x9c,0x9e,0xb7,0x6f,0xac,0x45,0xaf,0x8e,0x51}
+ };
+ BYTE ciphertext[1][32] = {
+ {0x60,0x1e,0xc3,0x13,0x77,0x57,0x89,0xa5,0xb7,0xa7,0xf5,0x04,0xbb,0xf3,0xd2,0x28,0xf4,0x43,0xe3,0xca,0x4d,0x62,0xb5,0x9a,0xca,0x84,0xe9,0x90,0xca,0xca,0xf5,0xc5}
+ };
+ BYTE iv[1][16] = {
+ {0xf0,0xf1,0xf2,0xf3,0xf4,0xf5,0xf6,0xf7,0xf8,0xf9,0xfa,0xfb,0xfc,0xfd,0xfe,0xff},
+ };
+ BYTE key[1][32] = {
+ {0x60,0x3d,0xeb,0x10,0x15,0xca,0x71,0xbe,0x2b,0x73,0xae,0xf0,0x85,0x7d,0x77,0x81,0x1f,0x35,0x2c,0x07,0x3b,0x61,0x08,0xd7,0x2d,0x98,0x10,0xa3,0x09,0x14,0xdf,0xf4}
+ };
+ int pass = 1;
+
+ //printf("* CTR mode:\n");
+ aes_key_setup(key[0], key_schedule, 256);
+
+ //printf( "Key : ");
+ //print_hex(key[0], 32);
+ //printf("\nIV : ");
+ //print_hex(iv[0], 16);
+
+ aes_encrypt_ctr(plaintext[0], 32, enc_buf, key_schedule, 256, iv[0]);
+ //printf("\nPlaintext : ");
+ //print_hex(plaintext[0], 32);
+ //printf("\n-encrypted to: ");
+ //print_hex(enc_buf, 32);
+ pass = pass && !memcmp(enc_buf, ciphertext[0], 32);
+
+ aes_decrypt_ctr(ciphertext[0], 32, enc_buf, key_schedule, 256, iv[0]);
+ //printf("\nCiphertext : ");
+ //print_hex(ciphertext[0], 32);
+ //printf("\n-decrypted to: ");
+ //print_hex(enc_buf, 32);
+ pass = pass && !memcmp(enc_buf, plaintext[0], 32);
+
+ //printf("\n\n");
+ return(pass);
+}
+
+int aes_ccm_test()
+{
+ int mac_auth;
+ WORD enc_buf_len;
+ BYTE enc_buf[128];
+ BYTE plaintext[3][32] = {
+ {0x20,0x21,0x22,0x23},
+ {0x20,0x21,0x22,0x23,0x24,0x25,0x26,0x27,0x28,0x29,0x2a,0x2b,0x2c,0x2d,0x2e,0x2f},
+ {0x20,0x21,0x22,0x23,0x24,0x25,0x26,0x27,0x28,0x29,0x2a,0x2b,0x2c,0x2d,0x2e,0x2f,0x30,0x31,0x32,0x33,0x34,0x35,0x36,0x37}
+ };
+ BYTE assoc[3][32] = {
+ {0x00,0x01,0x02,0x03,0x04,0x05,0x06,0x07},
+ {0x00,0x01,0x02,0x03,0x04,0x05,0x06,0x07,0x08,0x09,0x0a,0x0b,0x0c,0x0d,0x0e,0x0f},
+ {0x00,0x01,0x02,0x03,0x04,0x05,0x06,0x07,0x08,0x09,0x0a,0x0b,0x0c,0x0d,0x0e,0x0f,0x10,0x11,0x12,0x13}
+ };
+ BYTE ciphertext[3][32 + 16] = {
+ {0x71,0x62,0x01,0x5b,0x4d,0xac,0x25,0x5d},
+ {0xd2,0xa1,0xf0,0xe0,0x51,0xea,0x5f,0x62,0x08,0x1a,0x77,0x92,0x07,0x3d,0x59,0x3d,0x1f,0xc6,0x4f,0xbf,0xac,0xcd},
+ {0xe3,0xb2,0x01,0xa9,0xf5,0xb7,0x1a,0x7a,0x9b,0x1c,0xea,0xec,0xcd,0x97,0xe7,0x0b,0x61,0x76,0xaa,0xd9,0xa4,0x42,0x8a,0xa5,0x48,0x43,0x92,0xfb,0xc1,0xb0,0x99,0x51}
+ };
+ BYTE iv[3][16] = {
+ {0x10,0x11,0x12,0x13,0x14,0x15,0x16},
+ {0x10,0x11,0x12,0x13,0x14,0x15,0x16,0x17},
+ {0x10,0x11,0x12,0x13,0x14,0x15,0x16,0x17,0x18,0x19,0x1a,0x1b}
+ };
+ BYTE key[1][32] = {
+ {0x40,0x41,0x42,0x43,0x44,0x45,0x46,0x47,0x48,0x49,0x4a,0x4b,0x4c,0x4d,0x4e,0x4f}
+ };
+ int pass = 1;
+
+ //printf("* CCM mode:\n");
+ //printf("Key : ");
+ //print_hex(key[0], 16);
+
+ //print_hex(plaintext[0], 4);
+ //print_hex(assoc[0], 8);
+ //print_hex(ciphertext[0], 8);
+ //print_hex(iv[0], 7);
+ //print_hex(key[0], 16);
+
+ aes_encrypt_ccm(plaintext[0], 4, assoc[0], 8, iv[0], 7, enc_buf, &enc_buf_len, 4, key[0], 128);
+ //printf("\nNONCE : ");
+ //print_hex(iv[0], 7);
+ //printf("\nAssoc. Data : ");
+ //print_hex(assoc[0], 8);
+ //printf("\nPayload : ");
+ //print_hex(plaintext[0], 4);
+ //printf("\n-encrypted to: ");
+ //print_hex(enc_buf, enc_buf_len);
+ pass = pass && !memcmp(enc_buf, ciphertext[0], enc_buf_len);
+
+ aes_decrypt_ccm(ciphertext[0], 8, assoc[0], 8, iv[0], 7, enc_buf, &enc_buf_len, 4, &mac_auth, key[0], 128);
+ //printf("\n-Ciphertext : ");
+ //print_hex(ciphertext[0], 8);
+ //printf("\n-decrypted to: ");
+ //print_hex(enc_buf, enc_buf_len);
+ //printf("\nAuthenticated: %d ", mac_auth);
+ pass = pass && !memcmp(enc_buf, plaintext[0], enc_buf_len) && mac_auth;
+
+
+ aes_encrypt_ccm(plaintext[1], 16, assoc[1], 16, iv[1], 8, enc_buf, &enc_buf_len, 6, key[0], 128);
+ //printf("\n\nNONCE : ");
+ //print_hex(iv[1], 8);
+ //printf("\nAssoc. Data : ");
+ //print_hex(assoc[1], 16);
+ //printf("\nPayload : ");
+ //print_hex(plaintext[1], 16);
+ //printf("\n-encrypted to: ");
+ //print_hex(enc_buf, enc_buf_len);
+ pass = pass && !memcmp(enc_buf, ciphertext[1], enc_buf_len);
+
+ aes_decrypt_ccm(ciphertext[1], 22, assoc[1], 16, iv[1], 8, enc_buf, &enc_buf_len, 6, &mac_auth, key[0], 128);
+ //printf("\n-Ciphertext : ");
+ //print_hex(ciphertext[1], 22);
+ //printf("\n-decrypted to: ");
+ //print_hex(enc_buf, enc_buf_len);
+ //printf("\nAuthenticated: %d ", mac_auth);
+ pass = pass && !memcmp(enc_buf, plaintext[1], enc_buf_len) && mac_auth;
+
+
+ aes_encrypt_ccm(plaintext[2], 24, assoc[2], 20, iv[2], 12, enc_buf, &enc_buf_len, 8, key[0], 128);
+ //printf("\n\nNONCE : ");
+ //print_hex(iv[2], 12);
+ //printf("\nAssoc. Data : ");
+ //print_hex(assoc[2], 20);
+ //printf("\nPayload : ");
+ //print_hex(plaintext[2], 24);
+ //printf("\n-encrypted to: ");
+ //print_hex(enc_buf, enc_buf_len);
+ pass = pass && !memcmp(enc_buf, ciphertext[2], enc_buf_len);
+
+ aes_decrypt_ccm(ciphertext[2], 32, assoc[2], 20, iv[2], 12, enc_buf, &enc_buf_len, 8, &mac_auth, key[0], 128);
+ //printf("\n-Ciphertext : ");
+ //print_hex(ciphertext[2], 32);
+ //printf("\n-decrypted to: ");
+ //print_hex(enc_buf, enc_buf_len);
+ //printf("\nAuthenticated: %d ", mac_auth);
+ pass = pass && !memcmp(enc_buf, plaintext[2], enc_buf_len) && mac_auth;
+
+ //printf("\n\n");
+ return(pass);
+}
+
+int aes_test()
+{
+ int pass = 1;
+
+ pass = pass && aes_ecb_test();
+ pass = pass && aes_cbc_test();
+ pass = pass && aes_ctr_test();
+ pass = pass && aes_ccm_test();
+
+ return(pass);
+}
+
+int main(int argc, char *argv[])
+{
+ printf("AES Tests: %s\n", aes_test() ? "SUCCEEDED" : "FAILED");
+
+ return(0);
+}
diff --git a/lib/crypto-algorithms/arcfour.c b/lib/crypto-algorithms/arcfour.c new file mode 100644 index 0000000..aa7544a --- /dev/null +++ b/lib/crypto-algorithms/arcfour.c @@ -0,0 +1,45 @@ +/********************************************************************* +* Filename: arcfour.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Implementation of the ARCFOUR encryption algorithm. + Algorithm specification can be found here: + * http://en.wikipedia.org/wiki/RC4 +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdlib.h> +#include "arcfour.h" + +/*********************** FUNCTION DEFINITIONS ***********************/ +void arcfour_key_setup(BYTE state[], const BYTE key[], int len) +{ + int i, j; + BYTE t; + + for (i = 0; i < 256; ++i) + state[i] = i; + for (i = 0, j = 0; i < 256; ++i) { + j = (j + state[i] + key[i % len]) % 256; + t = state[i]; + state[i] = state[j]; + state[j] = t; + } +} + +void arcfour_generate_stream(BYTE state[], BYTE out[], size_t len) +{ + int i, j; + size_t idx; + BYTE t; + + for (idx = 0, i = 0, j = 0; idx < len; ++idx) { + i = (i + 1) % 256; + j = (j + state[i]) % 256; + t = state[i]; + state[i] = state[j]; + state[j] = t; + out[idx] = state[(state[i] + state[j]) % 256]; + } +} diff --git a/lib/crypto-algorithms/arcfour.h b/lib/crypto-algorithms/arcfour.h new file mode 100644 index 0000000..f9f1e87 --- /dev/null +++ b/lib/crypto-algorithms/arcfour.h @@ -0,0 +1,30 @@ +/********************************************************************* +* Filename: arcfour.h +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Defines the API for the corresponding ARCFOUR implementation. +*********************************************************************/ + +#ifndef ARCFOUR_H +#define ARCFOUR_H + +/*************************** HEADER FILES ***************************/ +#include <stddef.h> + +/**************************** DATA TYPES ****************************/ +typedef unsigned char BYTE; // 8-bit byte + +/*********************** FUNCTION DECLARATIONS **********************/ +// Input: state - the state used to generate the keystream +// key - Key to use to initialize the state +// len - length of key in bytes (valid lenth is 1 to 256) +void arcfour_key_setup(BYTE state[], const BYTE key[], int len); + +// Pseudo-Random Generator Algorithm +// Input: state - the state used to generate the keystream +// out - Must be allocated to be of at least "len" length +// len - number of bytes to generate +void arcfour_generate_stream(BYTE state[], BYTE out[], size_t len); + +#endif // ARCFOUR_H diff --git a/lib/crypto-algorithms/arcfour_test.c b/lib/crypto-algorithms/arcfour_test.c new file mode 100644 index 0000000..985f8a7 --- /dev/null +++ b/lib/crypto-algorithms/arcfour_test.c @@ -0,0 +1,47 @@ +/********************************************************************* +* Filename: arcfour_test.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Performs known-answer tests on the corresponding ARCFOUR + implementation. These tests do not encompass the full + range of available test vectors, however, if the tests + pass it is very, very likely that the code is correct + and was compiled properly. This code also serves as + example usage of the functions. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdio.h> +#include <memory.h> +#include "arcfour.h" + +/*********************** FUNCTION DEFINITIONS ***********************/ +int rc4_test() +{ + BYTE state[256]; + BYTE key[3][10] = {{"Key"}, {"Wiki"}, {"Secret"}}; + BYTE stream[3][10] = {{0xEB,0x9F,0x77,0x81,0xB7,0x34,0xCA,0x72,0xA7,0x19}, + {0x60,0x44,0xdb,0x6d,0x41,0xb7}, + {0x04,0xd4,0x6b,0x05,0x3c,0xa8,0x7b,0x59}}; + int stream_len[3] = {10,6,8}; + BYTE buf[1024]; + int idx; + int pass = 1; + + // Only test the output stream. Note that the state can be reused. + for (idx = 0; idx < 3; idx++) { + arcfour_key_setup(state, key[idx], strlen(key[idx])); + arcfour_generate_stream(state, buf, stream_len[idx]); + pass = pass && !memcmp(stream[idx], buf, stream_len[idx]); + } + + return(pass); +} + +int main() +{ + printf("ARCFOUR tests: %s\n", rc4_test() ? "SUCCEEDED" : "FAILED"); + + return(0); +} diff --git a/lib/crypto-algorithms/base64.c b/lib/crypto-algorithms/base64.c new file mode 100644 index 0000000..5e89808 --- /dev/null +++ b/lib/crypto-algorithms/base64.c @@ -0,0 +1,135 @@ +/********************************************************************* +* Filename: base64.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Implementation of the Base64 encoding algorithm. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdlib.h> +#include "base64.h" + +/****************************** MACROS ******************************/ +#define NEWLINE_INVL 76 + +/**************************** VARIABLES *****************************/ +// Note: To change the charset to a URL encoding, replace the '+' and '/' with '*' and '-' +static const BYTE charset[]={"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"}; + +/*********************** FUNCTION DEFINITIONS ***********************/ +BYTE revchar(char ch) +{ + if (ch >= 'A' && ch <= 'Z') + ch -= 'A'; + else if (ch >= 'a' && ch <='z') + ch = ch - 'a' + 26; + else if (ch >= '0' && ch <='9') + ch = ch - '0' + 52; + else if (ch == '+') + ch = 62; + else if (ch == '/') + ch = 63; + + return(ch); +} + +size_t base64_encode(const BYTE in[], BYTE out[], size_t len, int newline_flag) +{ + size_t idx, idx2, blks, blk_ceiling, left_over, newline_count = 0; + + blks = (len / 3); + left_over = len % 3; + + if (out == NULL) { + idx2 = blks * 4 ; + if (left_over) + idx2 += 4; + if (newline_flag) + idx2 += len / 57; // (NEWLINE_INVL / 4) * 3 = 57. One newline per 57 input bytes. + } + else { + // Since 3 input bytes = 4 output bytes, determine out how many even sets of + // 3 bytes the input has. + blk_ceiling = blks * 3; + for (idx = 0, idx2 = 0; idx < blk_ceiling; idx += 3, idx2 += 4) { + out[idx2] = charset[in[idx] >> 2]; + out[idx2 + 1] = charset[((in[idx] & 0x03) << 4) | (in[idx + 1] >> 4)]; + out[idx2 + 2] = charset[((in[idx + 1] & 0x0f) << 2) | (in[idx + 2] >> 6)]; + out[idx2 + 3] = charset[in[idx + 2] & 0x3F]; + // The offical standard requires a newline every 76 characters. + // (Eg, first newline is character 77 of the output.) + if (((idx2 - newline_count + 4) % NEWLINE_INVL == 0) && newline_flag) { + out[idx2 + 4] = '\n'; + idx2++; + newline_count++; + } + } + + if (left_over == 1) { + out[idx2] = charset[in[idx] >> 2]; + out[idx2 + 1] = charset[(in[idx] & 0x03) << 4]; + out[idx2 + 2] = '='; + out[idx2 + 3] = '='; + idx2 += 4; + } + else if (left_over == 2) { + out[idx2] = charset[in[idx] >> 2]; + out[idx2 + 1] = charset[((in[idx] & 0x03) << 4) | (in[idx + 1] >> 4)]; + out[idx2 + 2] = charset[(in[idx + 1] & 0x0F) << 2]; + out[idx2 + 3] = '='; + idx2 += 4; + } + } + + return(idx2); +} + +size_t base64_decode(const BYTE in[], BYTE out[], size_t len) +{ + BYTE ch; + size_t idx, idx2, blks, blk_ceiling, left_over; + + if (in[len - 1] == '=') + len--; + if (in[len - 1] == '=') + len--; + + blks = len / 4; + left_over = len % 4; + + if (out == NULL) { + if (len >= 77 && in[NEWLINE_INVL] == '\n') // Verify that newlines where used. + len -= len / (NEWLINE_INVL + 1); + blks = len / 4; + left_over = len % 4; + + idx = blks * 3; + if (left_over == 2) + idx ++; + else if (left_over == 3) + idx += 2; + } + else { + blk_ceiling = blks * 4; + for (idx = 0, idx2 = 0; idx2 < blk_ceiling; idx += 3, idx2 += 4) { + if (in[idx2] == '\n') + idx2++; + out[idx] = (revchar(in[idx2]) << 2) | ((revchar(in[idx2 + 1]) & 0x30) >> 4); + out[idx + 1] = (revchar(in[idx2 + 1]) << 4) | (revchar(in[idx2 + 2]) >> 2); + out[idx + 2] = (revchar(in[idx2 + 2]) << 6) | revchar(in[idx2 + 3]); + } + + if (left_over == 2) { + out[idx] = (revchar(in[idx2]) << 2) | ((revchar(in[idx2 + 1]) & 0x30) >> 4); + idx++; + } + else if (left_over == 3) { + out[idx] = (revchar(in[idx2]) << 2) | ((revchar(in[idx2 + 1]) & 0x30) >> 4); + out[idx + 1] = (revchar(in[idx2 + 1]) << 4) | (revchar(in[idx2 + 2]) >> 2); + idx += 2; + } + } + + return(idx); +} diff --git a/lib/crypto-algorithms/base64.h b/lib/crypto-algorithms/base64.h new file mode 100644 index 0000000..e35c6c7 --- /dev/null +++ b/lib/crypto-algorithms/base64.h @@ -0,0 +1,27 @@ +/********************************************************************* +* Filename: base64.h +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Defines the API for the corresponding Base64 implementation. +*********************************************************************/ + +#ifndef BASE64_H +#define BASE64_H + +/*************************** HEADER FILES ***************************/ +#include <stddef.h> + +/**************************** DATA TYPES ****************************/ +typedef unsigned char BYTE; // 8-bit byte + +/*********************** FUNCTION DECLARATIONS **********************/ +// Returns the size of the output. If called with out = NULL, will just return +// the size of what the output would have been (without a terminating NULL). +size_t base64_encode(const BYTE in[], BYTE out[], size_t len, int newline_flag); + +// Returns the size of the output. If called with out = NULL, will just return +// the size of what the output would have been (without a terminating NULL). +size_t base64_decode(const BYTE in[], BYTE out[], size_t len); + +#endif // BASE64_H diff --git a/lib/crypto-algorithms/base64_test.c b/lib/crypto-algorithms/base64_test.c new file mode 100644 index 0000000..c59cc98 --- /dev/null +++ b/lib/crypto-algorithms/base64_test.c @@ -0,0 +1,54 @@ +/********************************************************************* +* Filename: blowfish_test.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Performs known-answer tests on the corresponding Base64 + implementation. These tests do not encompass the full + range of available test vectors, however, if the tests + pass it is very, very likely that the code is correct + and was compiled properly. This code also serves as + example usage of the functions. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdio.h> +#include <memory.h> +#include "base64.h" + +/*********************** FUNCTION DEFINITIONS ***********************/ +int base64_test() +{ + BYTE text[3][1024] = {{"fo"}, + {"foobar"}, + {"Man is distinguished, not only by his reason, but by this singular passion from other animals, which is a lust of the mind, that by a perseverance of delight in the continued and indefatigable generation of knowledge, exceeds the short vehemence of any carnal pleasure."}}; + BYTE code[3][1024] = {{"Zm8="}, + {"Zm9vYmFy"}, + {"TWFuIGlzIGRpc3Rpbmd1aXNoZWQsIG5vdCBvbmx5IGJ5IGhpcyByZWFzb24sIGJ1dCBieSB0aGlz\nIHNpbmd1bGFyIHBhc3Npb24gZnJvbSBvdGhlciBhbmltYWxzLCB3aGljaCBpcyBhIGx1c3Qgb2Yg\ndGhlIG1pbmQsIHRoYXQgYnkgYSBwZXJzZXZlcmFuY2Ugb2YgZGVsaWdodCBpbiB0aGUgY29udGlu\ndWVkIGFuZCBpbmRlZmF0aWdhYmxlIGdlbmVyYXRpb24gb2Yga25vd2xlZGdlLCBleGNlZWRzIHRo\nZSBzaG9ydCB2ZWhlbWVuY2Ugb2YgYW55IGNhcm5hbCBwbGVhc3VyZS4="}}; + BYTE buf[1024]; + size_t buf_len; + int pass = 1; + int idx; + + for (idx = 0; idx < 3; idx++) { + buf_len = base64_encode(text[idx], buf, strlen(text[idx]), 1); + pass = pass && ((buf_len == strlen(code[idx])) && + (buf_len == base64_encode(text[idx], NULL, strlen(text[idx]), 1))); + pass = pass && !strcmp(code[idx], buf); + + memset(buf, 0, sizeof(buf)); + buf_len = base64_decode(code[idx], buf, strlen(code[idx])); + pass = pass && ((buf_len == strlen(text[idx])) && + (buf_len == base64_decode(code[idx], NULL, strlen(code[idx])))); + pass = pass && !strcmp(text[idx], buf); + } + + return(pass); +} + +int main() +{ + printf("Base64 tests: %s\n", base64_test() ? "PASSED" : "FAILED"); + + return 0; +} diff --git a/lib/crypto-algorithms/blowfish.c b/lib/crypto-algorithms/blowfish.c new file mode 100644 index 0000000..cea8f28 --- /dev/null +++ b/lib/crypto-algorithms/blowfish.c @@ -0,0 +1,269 @@ +/********************************************************************* +* Filename: blowfish.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Implementation of the Blowfish encryption algorithm. + Modes of operation (such as CBC) are not included. + Algorithm specification can be found here: + * http://www.schneier.com/blowfish.html +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdlib.h> +#include <memory.h> +#include "blowfish.h" + +/****************************** MACROS ******************************/ +#define F(x,t) t = keystruct->s[0][(x) >> 24]; \ + t += keystruct->s[1][((x) >> 16) & 0xff]; \ + t ^= keystruct->s[2][((x) >> 8) & 0xff]; \ + t += keystruct->s[3][(x) & 0xff]; +#define swap(r,l,t) t = l; l = r; r = t; +#define ITERATION(l,r,t,pval) l ^= keystruct->p[pval]; F(l,t); r^= t; swap(r,l,t); + +/**************************** VARIABLES *****************************/ +static const WORD p_perm[18] = { + 0x243F6A88,0x85A308D3,0x13198A2E,0x03707344,0xA4093822,0x299F31D0,0x082EFA98, + 0xEC4E6C89,0x452821E6,0x38D01377,0xBE5466CF,0x34E90C6C,0xC0AC29B7,0xC97C50DD, + 0x3F84D5B5,0xB5470917,0x9216D5D9,0x8979FB1B +}; + +static const WORD s_perm[4][256] = { { + 0xD1310BA6,0x98DFB5AC,0x2FFD72DB,0xD01ADFB7,0xB8E1AFED,0x6A267E96,0xBA7C9045,0xF12C7F99, + 0x24A19947,0xB3916CF7,0x0801F2E2,0x858EFC16,0x636920D8,0x71574E69,0xA458FEA3,0xF4933D7E, + 0x0D95748F,0x728EB658,0x718BCD58,0x82154AEE,0x7B54A41D,0xC25A59B5,0x9C30D539,0x2AF26013, + 0xC5D1B023,0x286085F0,0xCA417918,0xB8DB38EF,0x8E79DCB0,0x603A180E,0x6C9E0E8B,0xB01E8A3E, + 0xD71577C1,0xBD314B27,0x78AF2FDA,0x55605C60,0xE65525F3,0xAA55AB94,0x57489862,0x63E81440, + 0x55CA396A,0x2AAB10B6,0xB4CC5C34,0x1141E8CE,0xA15486AF,0x7C72E993,0xB3EE1411,0x636FBC2A, + 0x2BA9C55D,0x741831F6,0xCE5C3E16,0x9B87931E,0xAFD6BA33,0x6C24CF5C,0x7A325381,0x28958677, + 0x3B8F4898,0x6B4BB9AF,0xC4BFE81B,0x66282193,0x61D809CC,0xFB21A991,0x487CAC60,0x5DEC8032, + 0xEF845D5D,0xE98575B1,0xDC262302,0xEB651B88,0x23893E81,0xD396ACC5,0x0F6D6FF3,0x83F44239, + 0x2E0B4482,0xA4842004,0x69C8F04A,0x9E1F9B5E,0x21C66842,0xF6E96C9A,0x670C9C61,0xABD388F0, + 0x6A51A0D2,0xD8542F68,0x960FA728,0xAB5133A3,0x6EEF0B6C,0x137A3BE4,0xBA3BF050,0x7EFB2A98, + 0xA1F1651D,0x39AF0176,0x66CA593E,0x82430E88,0x8CEE8619,0x456F9FB4,0x7D84A5C3,0x3B8B5EBE, + 0xE06F75D8,0x85C12073,0x401A449F,0x56C16AA6,0x4ED3AA62,0x363F7706,0x1BFEDF72,0x429B023D, + 0x37D0D724,0xD00A1248,0xDB0FEAD3,0x49F1C09B,0x075372C9,0x80991B7B,0x25D479D8,0xF6E8DEF7, + 0xE3FE501A,0xB6794C3B,0x976CE0BD,0x04C006BA,0xC1A94FB6,0x409F60C4,0x5E5C9EC2,0x196A2463, + 0x68FB6FAF,0x3E6C53B5,0x1339B2EB,0x3B52EC6F,0x6DFC511F,0x9B30952C,0xCC814544,0xAF5EBD09, + 0xBEE3D004,0xDE334AFD,0x660F2807,0x192E4BB3,0xC0CBA857,0x45C8740F,0xD20B5F39,0xB9D3FBDB, + 0x5579C0BD,0x1A60320A,0xD6A100C6,0x402C7279,0x679F25FE,0xFB1FA3CC,0x8EA5E9F8,0xDB3222F8, + 0x3C7516DF,0xFD616B15,0x2F501EC8,0xAD0552AB,0x323DB5FA,0xFD238760,0x53317B48,0x3E00DF82, + 0x9E5C57BB,0xCA6F8CA0,0x1A87562E,0xDF1769DB,0xD542A8F6,0x287EFFC3,0xAC6732C6,0x8C4F5573, + 0x695B27B0,0xBBCA58C8,0xE1FFA35D,0xB8F011A0,0x10FA3D98,0xFD2183B8,0x4AFCB56C,0x2DD1D35B, + 0x9A53E479,0xB6F84565,0xD28E49BC,0x4BFB9790,0xE1DDF2DA,0xA4CB7E33,0x62FB1341,0xCEE4C6E8, + 0xEF20CADA,0x36774C01,0xD07E9EFE,0x2BF11FB4,0x95DBDA4D,0xAE909198,0xEAAD8E71,0x6B93D5A0, + 0xD08ED1D0,0xAFC725E0,0x8E3C5B2F,0x8E7594B7,0x8FF6E2FB,0xF2122B64,0x8888B812,0x900DF01C, + 0x4FAD5EA0,0x688FC31C,0xD1CFF191,0xB3A8C1AD,0x2F2F2218,0xBE0E1777,0xEA752DFE,0x8B021FA1, + 0xE5A0CC0F,0xB56F74E8,0x18ACF3D6,0xCE89E299,0xB4A84FE0,0xFD13E0B7,0x7CC43B81,0xD2ADA8D9, + 0x165FA266,0x80957705,0x93CC7314,0x211A1477,0xE6AD2065,0x77B5FA86,0xC75442F5,0xFB9D35CF, + 0xEBCDAF0C,0x7B3E89A0,0xD6411BD3,0xAE1E7E49,0x00250E2D,0x2071B35E,0x226800BB,0x57B8E0AF, + 0x2464369B,0xF009B91E,0x5563911D,0x59DFA6AA,0x78C14389,0xD95A537F,0x207D5BA2,0x02E5B9C5, + 0x83260376,0x6295CFA9,0x11C81968,0x4E734A41,0xB3472DCA,0x7B14A94A,0x1B510052,0x9A532915, + 0xD60F573F,0xBC9BC6E4,0x2B60A476,0x81E67400,0x08BA6FB5,0x571BE91F,0xF296EC6B,0x2A0DD915, + 0xB6636521,0xE7B9F9B6,0xFF34052E,0xC5855664,0x53B02D5D,0xA99F8FA1,0x08BA4799,0x6E85076A +},{ + 0x4B7A70E9,0xB5B32944,0xDB75092E,0xC4192623,0xAD6EA6B0,0x49A7DF7D,0x9CEE60B8,0x8FEDB266, + 0xECAA8C71,0x699A17FF,0x5664526C,0xC2B19EE1,0x193602A5,0x75094C29,0xA0591340,0xE4183A3E, + 0x3F54989A,0x5B429D65,0x6B8FE4D6,0x99F73FD6,0xA1D29C07,0xEFE830F5,0x4D2D38E6,0xF0255DC1, + 0x4CDD2086,0x8470EB26,0x6382E9C6,0x021ECC5E,0x09686B3F,0x3EBAEFC9,0x3C971814,0x6B6A70A1, + 0x687F3584,0x52A0E286,0xB79C5305,0xAA500737,0x3E07841C,0x7FDEAE5C,0x8E7D44EC,0x5716F2B8, + 0xB03ADA37,0xF0500C0D,0xF01C1F04,0x0200B3FF,0xAE0CF51A,0x3CB574B2,0x25837A58,0xDC0921BD, + 0xD19113F9,0x7CA92FF6,0x94324773,0x22F54701,0x3AE5E581,0x37C2DADC,0xC8B57634,0x9AF3DDA7, + 0xA9446146,0x0FD0030E,0xECC8C73E,0xA4751E41,0xE238CD99,0x3BEA0E2F,0x3280BBA1,0x183EB331, + 0x4E548B38,0x4F6DB908,0x6F420D03,0xF60A04BF,0x2CB81290,0x24977C79,0x5679B072,0xBCAF89AF, + 0xDE9A771F,0xD9930810,0xB38BAE12,0xDCCF3F2E,0x5512721F,0x2E6B7124,0x501ADDE6,0x9F84CD87, + 0x7A584718,0x7408DA17,0xBC9F9ABC,0xE94B7D8C,0xEC7AEC3A,0xDB851DFA,0x63094366,0xC464C3D2, + 0xEF1C1847,0x3215D908,0xDD433B37,0x24C2BA16,0x12A14D43,0x2A65C451,0x50940002,0x133AE4DD, + 0x71DFF89E,0x10314E55,0x81AC77D6,0x5F11199B,0x043556F1,0xD7A3C76B,0x3C11183B,0x5924A509, + 0xF28FE6ED,0x97F1FBFA,0x9EBABF2C,0x1E153C6E,0x86E34570,0xEAE96FB1,0x860E5E0A,0x5A3E2AB3, + 0x771FE71C,0x4E3D06FA,0x2965DCB9,0x99E71D0F,0x803E89D6,0x5266C825,0x2E4CC978,0x9C10B36A, + 0xC6150EBA,0x94E2EA78,0xA5FC3C53,0x1E0A2DF4,0xF2F74EA7,0x361D2B3D,0x1939260F,0x19C27960, + 0x5223A708,0xF71312B6,0xEBADFE6E,0xEAC31F66,0xE3BC4595,0xA67BC883,0xB17F37D1,0x018CFF28, + 0xC332DDEF,0xBE6C5AA5,0x65582185,0x68AB9802,0xEECEA50F,0xDB2F953B,0x2AEF7DAD,0x5B6E2F84, + 0x1521B628,0x29076170,0xECDD4775,0x619F1510,0x13CCA830,0xEB61BD96,0x0334FE1E,0xAA0363CF, + 0xB5735C90,0x4C70A239,0xD59E9E0B,0xCBAADE14,0xEECC86BC,0x60622CA7,0x9CAB5CAB,0xB2F3846E, + 0x648B1EAF,0x19BDF0CA,0xA02369B9,0x655ABB50,0x40685A32,0x3C2AB4B3,0x319EE9D5,0xC021B8F7, + 0x9B540B19,0x875FA099,0x95F7997E,0x623D7DA8,0xF837889A,0x97E32D77,0x11ED935F,0x16681281, + 0x0E358829,0xC7E61FD6,0x96DEDFA1,0x7858BA99,0x57F584A5,0x1B227263,0x9B83C3FF,0x1AC24696, + 0xCDB30AEB,0x532E3054,0x8FD948E4,0x6DBC3128,0x58EBF2EF,0x34C6FFEA,0xFE28ED61,0xEE7C3C73, + 0x5D4A14D9,0xE864B7E3,0x42105D14,0x203E13E0,0x45EEE2B6,0xA3AAABEA,0xDB6C4F15,0xFACB4FD0, + 0xC742F442,0xEF6ABBB5,0x654F3B1D,0x41CD2105,0xD81E799E,0x86854DC7,0xE44B476A,0x3D816250, + 0xCF62A1F2,0x5B8D2646,0xFC8883A0,0xC1C7B6A3,0x7F1524C3,0x69CB7492,0x47848A0B,0x5692B285, + 0x095BBF00,0xAD19489D,0x1462B174,0x23820E00,0x58428D2A,0x0C55F5EA,0x1DADF43E,0x233F7061, + 0x3372F092,0x8D937E41,0xD65FECF1,0x6C223BDB,0x7CDE3759,0xCBEE7460,0x4085F2A7,0xCE77326E, + 0xA6078084,0x19F8509E,0xE8EFD855,0x61D99735,0xA969A7AA,0xC50C06C2,0x5A04ABFC,0x800BCADC, + 0x9E447A2E,0xC3453484,0xFDD56705,0x0E1E9EC9,0xDB73DBD3,0x105588CD,0x675FDA79,0xE3674340, + 0xC5C43465,0x713E38D8,0x3D28F89E,0xF16DFF20,0x153E21E7,0x8FB03D4A,0xE6E39F2B,0xDB83ADF7 +},{ + 0xE93D5A68,0x948140F7,0xF64C261C,0x94692934,0x411520F7,0x7602D4F7,0xBCF46B2E,0xD4A20068, + 0xD4082471,0x3320F46A,0x43B7D4B7,0x500061AF,0x1E39F62E,0x97244546,0x14214F74,0xBF8B8840, + 0x4D95FC1D,0x96B591AF,0x70F4DDD3,0x66A02F45,0xBFBC09EC,0x03BD9785,0x7FAC6DD0,0x31CB8504, + 0x96EB27B3,0x55FD3941,0xDA2547E6,0xABCA0A9A,0x28507825,0x530429F4,0x0A2C86DA,0xE9B66DFB, + 0x68DC1462,0xD7486900,0x680EC0A4,0x27A18DEE,0x4F3FFEA2,0xE887AD8C,0xB58CE006,0x7AF4D6B6, + 0xAACE1E7C,0xD3375FEC,0xCE78A399,0x406B2A42,0x20FE9E35,0xD9F385B9,0xEE39D7AB,0x3B124E8B, + 0x1DC9FAF7,0x4B6D1856,0x26A36631,0xEAE397B2,0x3A6EFA74,0xDD5B4332,0x6841E7F7,0xCA7820FB, + 0xFB0AF54E,0xD8FEB397,0x454056AC,0xBA489527,0x55533A3A,0x20838D87,0xFE6BA9B7,0xD096954B, + 0x55A867BC,0xA1159A58,0xCCA92963,0x99E1DB33,0xA62A4A56,0x3F3125F9,0x5EF47E1C,0x9029317C, + 0xFDF8E802,0x04272F70,0x80BB155C,0x05282CE3,0x95C11548,0xE4C66D22,0x48C1133F,0xC70F86DC, + 0x07F9C9EE,0x41041F0F,0x404779A4,0x5D886E17,0x325F51EB,0xD59BC0D1,0xF2BCC18F,0x41113564, + 0x257B7834,0x602A9C60,0xDFF8E8A3,0x1F636C1B,0x0E12B4C2,0x02E1329E,0xAF664FD1,0xCAD18115, + 0x6B2395E0,0x333E92E1,0x3B240B62,0xEEBEB922,0x85B2A20E,0xE6BA0D99,0xDE720C8C,0x2DA2F728, + 0xD0127845,0x95B794FD,0x647D0862,0xE7CCF5F0,0x5449A36F,0x877D48FA,0xC39DFD27,0xF33E8D1E, + 0x0A476341,0x992EFF74,0x3A6F6EAB,0xF4F8FD37,0xA812DC60,0xA1EBDDF8,0x991BE14C,0xDB6E6B0D, + 0xC67B5510,0x6D672C37,0x2765D43B,0xDCD0E804,0xF1290DC7,0xCC00FFA3,0xB5390F92,0x690FED0B, + 0x667B9FFB,0xCEDB7D9C,0xA091CF0B,0xD9155EA3,0xBB132F88,0x515BAD24,0x7B9479BF,0x763BD6EB, + 0x37392EB3,0xCC115979,0x8026E297,0xF42E312D,0x6842ADA7,0xC66A2B3B,0x12754CCC,0x782EF11C, + 0x6A124237,0xB79251E7,0x06A1BBE6,0x4BFB6350,0x1A6B1018,0x11CAEDFA,0x3D25BDD8,0xE2E1C3C9, + 0x44421659,0x0A121386,0xD90CEC6E,0xD5ABEA2A,0x64AF674E,0xDA86A85F,0xBEBFE988,0x64E4C3FE, + 0x9DBC8057,0xF0F7C086,0x60787BF8,0x6003604D,0xD1FD8346,0xF6381FB0,0x7745AE04,0xD736FCCC, + 0x83426B33,0xF01EAB71,0xB0804187,0x3C005E5F,0x77A057BE,0xBDE8AE24,0x55464299,0xBF582E61, + 0x4E58F48F,0xF2DDFDA2,0xF474EF38,0x8789BDC2,0x5366F9C3,0xC8B38E74,0xB475F255,0x46FCD9B9, + 0x7AEB2661,0x8B1DDF84,0x846A0E79,0x915F95E2,0x466E598E,0x20B45770,0x8CD55591,0xC902DE4C, + 0xB90BACE1,0xBB8205D0,0x11A86248,0x7574A99E,0xB77F19B6,0xE0A9DC09,0x662D09A1,0xC4324633, + 0xE85A1F02,0x09F0BE8C,0x4A99A025,0x1D6EFE10,0x1AB93D1D,0x0BA5A4DF,0xA186F20F,0x2868F169, + 0xDCB7DA83,0x573906FE,0xA1E2CE9B,0x4FCD7F52,0x50115E01,0xA70683FA,0xA002B5C4,0x0DE6D027, + 0x9AF88C27,0x773F8641,0xC3604C06,0x61A806B5,0xF0177A28,0xC0F586E0,0x006058AA,0x30DC7D62, + 0x11E69ED7,0x2338EA63,0x53C2DD94,0xC2C21634,0xBBCBEE56,0x90BCB6DE,0xEBFC7DA1,0xCE591D76, + 0x6F05E409,0x4B7C0188,0x39720A3D,0x7C927C24,0x86E3725F,0x724D9DB9,0x1AC15BB4,0xD39EB8FC, + 0xED545578,0x08FCA5B5,0xD83D7CD3,0x4DAD0FC4,0x1E50EF5E,0xB161E6F8,0xA28514D9,0x6C51133C, + 0x6FD5C7E7,0x56E14EC4,0x362ABFCE,0xDDC6C837,0xD79A3234,0x92638212,0x670EFA8E,0x406000E0 +},{ + 0x3A39CE37,0xD3FAF5CF,0xABC27737,0x5AC52D1B,0x5CB0679E,0x4FA33742,0xD3822740,0x99BC9BBE, + 0xD5118E9D,0xBF0F7315,0xD62D1C7E,0xC700C47B,0xB78C1B6B,0x21A19045,0xB26EB1BE,0x6A366EB4, + 0x5748AB2F,0xBC946E79,0xC6A376D2,0x6549C2C8,0x530FF8EE,0x468DDE7D,0xD5730A1D,0x4CD04DC6, + 0x2939BBDB,0xA9BA4650,0xAC9526E8,0xBE5EE304,0xA1FAD5F0,0x6A2D519A,0x63EF8CE2,0x9A86EE22, + 0xC089C2B8,0x43242EF6,0xA51E03AA,0x9CF2D0A4,0x83C061BA,0x9BE96A4D,0x8FE51550,0xBA645BD6, + 0x2826A2F9,0xA73A3AE1,0x4BA99586,0xEF5562E9,0xC72FEFD3,0xF752F7DA,0x3F046F69,0x77FA0A59, + 0x80E4A915,0x87B08601,0x9B09E6AD,0x3B3EE593,0xE990FD5A,0x9E34D797,0x2CF0B7D9,0x022B8B51, + 0x96D5AC3A,0x017DA67D,0xD1CF3ED6,0x7C7D2D28,0x1F9F25CF,0xADF2B89B,0x5AD6B472,0x5A88F54C, + 0xE029AC71,0xE019A5E6,0x47B0ACFD,0xED93FA9B,0xE8D3C48D,0x283B57CC,0xF8D56629,0x79132E28, + 0x785F0191,0xED756055,0xF7960E44,0xE3D35E8C,0x15056DD4,0x88F46DBA,0x03A16125,0x0564F0BD, + 0xC3EB9E15,0x3C9057A2,0x97271AEC,0xA93A072A,0x1B3F6D9B,0x1E6321F5,0xF59C66FB,0x26DCF319, + 0x7533D928,0xB155FDF5,0x03563482,0x8ABA3CBB,0x28517711,0xC20AD9F8,0xABCC5167,0xCCAD925F, + 0x4DE81751,0x3830DC8E,0x379D5862,0x9320F991,0xEA7A90C2,0xFB3E7BCE,0x5121CE64,0x774FBE32, + 0xA8B6E37E,0xC3293D46,0x48DE5369,0x6413E680,0xA2AE0810,0xDD6DB224,0x69852DFD,0x09072166, + 0xB39A460A,0x6445C0DD,0x586CDECF,0x1C20C8AE,0x5BBEF7DD,0x1B588D40,0xCCD2017F,0x6BB4E3BB, + 0xDDA26A7E,0x3A59FF45,0x3E350A44,0xBCB4CDD5,0x72EACEA8,0xFA6484BB,0x8D6612AE,0xBF3C6F47, + 0xD29BE463,0x542F5D9E,0xAEC2771B,0xF64E6370,0x740E0D8D,0xE75B1357,0xF8721671,0xAF537D5D, + 0x4040CB08,0x4EB4E2CC,0x34D2466A,0x0115AF84,0xE1B00428,0x95983A1D,0x06B89FB4,0xCE6EA048, + 0x6F3F3B82,0x3520AB82,0x011A1D4B,0x277227F8,0x611560B1,0xE7933FDC,0xBB3A792B,0x344525BD, + 0xA08839E1,0x51CE794B,0x2F32C9B7,0xA01FBAC9,0xE01CC87E,0xBCC7D1F6,0xCF0111C3,0xA1E8AAC7, + 0x1A908749,0xD44FBD9A,0xD0DADECB,0xD50ADA38,0x0339C32A,0xC6913667,0x8DF9317C,0xE0B12B4F, + 0xF79E59B7,0x43F5BB3A,0xF2D519FF,0x27D9459C,0xBF97222C,0x15E6FC2A,0x0F91FC71,0x9B941525, + 0xFAE59361,0xCEB69CEB,0xC2A86459,0x12BAA8D1,0xB6C1075E,0xE3056A0C,0x10D25065,0xCB03A442, + 0xE0EC6E0E,0x1698DB3B,0x4C98A0BE,0x3278E964,0x9F1F9532,0xE0D392DF,0xD3A0342B,0x8971F21E, + 0x1B0A7441,0x4BA3348C,0xC5BE7120,0xC37632D8,0xDF359F8D,0x9B992F2E,0xE60B6F47,0x0FE3F11D, + 0xE54CDA54,0x1EDAD891,0xCE6279CF,0xCD3E7E6F,0x1618B166,0xFD2C1D05,0x848FD2C5,0xF6FB2299, + 0xF523F357,0xA6327623,0x93A83531,0x56CCCD02,0xACF08162,0x5A75EBB5,0x6E163697,0x88D273CC, + 0xDE966292,0x81B949D0,0x4C50901B,0x71C65614,0xE6C6C7BD,0x327A140A,0x45E1D006,0xC3F27B9A, + 0xC9AA53FD,0x62A80F00,0xBB25BFE2,0x35BDD2F6,0x71126905,0xB2040222,0xB6CBCF7C,0xCD769C2B, + 0x53113EC0,0x1640E3D3,0x38ABBD60,0x2547ADF0,0xBA38209C,0xF746CE76,0x77AFA1C5,0x20756060, + 0x85CBFE4E,0x8AE88DD8,0x7AAAF9B0,0x4CF9AA7E,0x1948C25C,0x02FB8A8C,0x01C36AE4,0xD6EBE1F9, + 0x90D4F869,0xA65CDEA0,0x3F09252D,0xC208E69F,0xB74E6132,0xCE77E25B,0x578FDFE3,0x3AC372E6 +} }; + +/*********************** FUNCTION DEFINITIONS ***********************/ +void blowfish_encrypt(const BYTE in[], BYTE out[], const BLOWFISH_KEY *keystruct) +{ + WORD l,r,t; //,i; + + l = (in[0] << 24) | (in[1] << 16) | (in[2] << 8) | (in[3]); + r = (in[4] << 24) | (in[5] << 16) | (in[6] << 8) | (in[7]); + + ITERATION(l,r,t,0); + ITERATION(l,r,t,1); + ITERATION(l,r,t,2); + ITERATION(l,r,t,3); + ITERATION(l,r,t,4); + ITERATION(l,r,t,5); + ITERATION(l,r,t,6); + ITERATION(l,r,t,7); + ITERATION(l,r,t,8); + ITERATION(l,r,t,9); + ITERATION(l,r,t,10); + ITERATION(l,r,t,11); + ITERATION(l,r,t,12); + ITERATION(l,r,t,13); + ITERATION(l,r,t,14); + l ^= keystruct->p[15]; F(l,t); r^= t; //Last iteration has no swap() + r ^= keystruct->p[16]; + l ^= keystruct->p[17]; + + out[0] = l >> 24; + out[1] = l >> 16; + out[2] = l >> 8; + out[3] = l; + out[4] = r >> 24; + out[5] = r >> 16; + out[6] = r >> 8; + out[7] = r; +} + +void blowfish_decrypt(const BYTE in[], BYTE out[], const BLOWFISH_KEY *keystruct) +{ + WORD l,r,t; //,i; + + l = (in[0] << 24) | (in[1] << 16) | (in[2] << 8) | (in[3]); + r = (in[4] << 24) | (in[5] << 16) | (in[6] << 8) | (in[7]); + + ITERATION(l,r,t,17); + ITERATION(l,r,t,16); + ITERATION(l,r,t,15); + ITERATION(l,r,t,14); + ITERATION(l,r,t,13); + ITERATION(l,r,t,12); + ITERATION(l,r,t,11); + ITERATION(l,r,t,10); + ITERATION(l,r,t,9); + ITERATION(l,r,t,8); + ITERATION(l,r,t,7); + ITERATION(l,r,t,6); + ITERATION(l,r,t,5); + ITERATION(l,r,t,4); + ITERATION(l,r,t,3); + l ^= keystruct->p[2]; F(l,t); r^= t; //Last iteration has no swap() + r ^= keystruct->p[1]; + l ^= keystruct->p[0]; + + out[0] = l >> 24; + out[1] = l >> 16; + out[2] = l >> 8; + out[3] = l; + out[4] = r >> 24; + out[5] = r >> 16; + out[6] = r >> 8; + out[7] = r; +} + +void blowfish_key_setup(const BYTE user_key[], BLOWFISH_KEY *keystruct, size_t len) +{ + BYTE block[8]; + int idx,idx2; + + // Copy over the constant init array vals (so the originals aren't destroyed). + memcpy(keystruct->p,p_perm,sizeof(WORD) * 18); + memcpy(keystruct->s,s_perm,sizeof(WORD) * 1024); + + // Combine the key with the P box. Assume key is standard 448 bits (56 bytes) or less. + for (idx = 0, idx2 = 0; idx < 18; ++idx, idx2 += 4) + keystruct->p[idx] ^= (user_key[idx2 % len] << 24) | (user_key[(idx2+1) % len] << 16) + | (user_key[(idx2+2) % len] << 8) | (user_key[(idx2+3) % len]); + // Re-calculate the P box. + memset(block, 0, 8); + for (idx = 0; idx < 18; idx += 2) { + blowfish_encrypt(block,block,keystruct); + keystruct->p[idx] = (block[0] << 24) | (block[1] << 16) | (block[2] << 8) | block[3]; + keystruct->p[idx+1]=(block[4] << 24) | (block[5] << 16) | (block[6] << 8) | block[7]; + } + // Recalculate the S-boxes. + for (idx = 0; idx < 4; ++idx) { + for (idx2 = 0; idx2 < 256; idx2 += 2) { + blowfish_encrypt(block,block,keystruct); + keystruct->s[idx][idx2] = (block[0] << 24) | (block[1] << 16) | + (block[2] << 8) | block[3]; + keystruct->s[idx][idx2+1] = (block[4] << 24) | (block[5] << 16) | + (block[6] << 8) | block[7]; + } + } +} diff --git a/lib/crypto-algorithms/blowfish.h b/lib/crypto-algorithms/blowfish.h new file mode 100644 index 0000000..d8e9d4a --- /dev/null +++ b/lib/crypto-algorithms/blowfish.h @@ -0,0 +1,32 @@ +/********************************************************************* +* Filename: blowfish.h +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Defines the API for the corresponding Blowfish implementation. +*********************************************************************/ + +#ifndef BLOWFISH_H +#define BLOWFISH_H + +/*************************** HEADER FILES ***************************/ +#include <stddef.h> + +/****************************** MACROS ******************************/ +#define BLOWFISH_BLOCK_SIZE 8 // Blowfish operates on 8 bytes at a time + +/**************************** DATA TYPES ****************************/ +typedef unsigned char BYTE; // 8-bit byte +typedef unsigned int WORD; // 32-bit word, change to "long" for 16-bit machines + +typedef struct { + WORD p[18]; + WORD s[4][256]; +} BLOWFISH_KEY; + +/*********************** FUNCTION DECLARATIONS **********************/ +void blowfish_key_setup(const BYTE user_key[], BLOWFISH_KEY *keystruct, size_t len); +void blowfish_encrypt(const BYTE in[], BYTE out[], const BLOWFISH_KEY *keystruct); +void blowfish_decrypt(const BYTE in[], BYTE out[], const BLOWFISH_KEY *keystruct); + +#endif // BLOWFISH_H diff --git a/lib/crypto-algorithms/blowfish_test.c b/lib/crypto-algorithms/blowfish_test.c new file mode 100644 index 0000000..0f0aa38 --- /dev/null +++ b/lib/crypto-algorithms/blowfish_test.c @@ -0,0 +1,68 @@ +/********************************************************************* +* Filename: blowfish_test.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Performs known-answer tests on the corresponding Blowfish + implementation. These tests do not encompass the full + range of available test vectors, however, if the tests + pass it is very, very likely that the code is correct + and was compiled properly. This code also serves as + example usage of the functions. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdio.h> +#include <memory.h> +#include "blowfish.h" + +/*********************** FUNCTION DEFINITIONS ***********************/ +int blowfish_test() +{ + BYTE key1[8] = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00}; + BYTE key2[8] = {0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}; + BYTE key3[24] = {0xF0,0xE1,0xD2,0xC3,0xB4,0xA5,0x96,0x87, + 0x78,0x69,0x5A,0x4B,0x3C,0x2D,0x1E,0x0F, + 0x00,0x11,0x22,0x33,0x44,0x55,0x66,0x77}; + BYTE p1[BLOWFISH_BLOCK_SIZE] = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00}; + BYTE p2[BLOWFISH_BLOCK_SIZE] = {0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}; + BYTE p3[BLOWFISH_BLOCK_SIZE] = {0xFE,0xDC,0xBA,0x98,0x76,0x54,0x32,0x10}; + + BYTE c1[BLOWFISH_BLOCK_SIZE] = {0x4e,0xf9,0x97,0x45,0x61,0x98,0xdd,0x78}; + BYTE c2[BLOWFISH_BLOCK_SIZE] = {0x51,0x86,0x6f,0xd5,0xb8,0x5e,0xcb,0x8a}; + BYTE c3[BLOWFISH_BLOCK_SIZE] = {0x05,0x04,0x4b,0x62,0xfa,0x52,0xd0,0x80}; + + BYTE enc_buf[BLOWFISH_BLOCK_SIZE]; + BLOWFISH_KEY key; + int pass = 1; + + // Test vector 1. + blowfish_key_setup(key1, &key, BLOWFISH_BLOCK_SIZE); + blowfish_encrypt(p1, enc_buf, &key); + pass = pass && !memcmp(c1, enc_buf, BLOWFISH_BLOCK_SIZE); + blowfish_decrypt(c1, enc_buf, &key); + pass = pass && !memcmp(p1, enc_buf, BLOWFISH_BLOCK_SIZE); + + // Test vector 2. + blowfish_key_setup(key2, &key, BLOWFISH_BLOCK_SIZE); + blowfish_encrypt(p2, enc_buf, &key); + pass = pass && !memcmp(c2, enc_buf, BLOWFISH_BLOCK_SIZE); + blowfish_decrypt(c2, enc_buf, &key); + pass = pass && !memcmp(p2, enc_buf, BLOWFISH_BLOCK_SIZE); + + // Test vector 3. + blowfish_key_setup(key3, &key, 24); + blowfish_encrypt(p3, enc_buf, &key); + pass = pass && !memcmp(c3, enc_buf, BLOWFISH_BLOCK_SIZE); + blowfish_decrypt(c3, enc_buf, &key); + pass = pass && !memcmp(p3, enc_buf, BLOWFISH_BLOCK_SIZE); + + return(pass); +} + +int main() +{ + printf("Blowfish tests: %s\n", blowfish_test() ? "SUCCEEDED" : "FAILED"); + + return(0); +} diff --git a/lib/crypto-algorithms/des.c b/lib/crypto-algorithms/des.c new file mode 100644 index 0000000..d20db6f --- /dev/null +++ b/lib/crypto-algorithms/des.c @@ -0,0 +1,269 @@ +/********************************************************************* +* Filename: des.c +* Author: Brad Conte (brad AT radconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Implementation of the DES encryption algorithm. + Modes of operation (such as CBC) are not included. + The formal NIST algorithm specification can be found here: + * http://csrc.nist.gov/publications/fips/fips46-3/fips46-3.pdf +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdlib.h> +#include <memory.h> +#include "des.h" + +/****************************** MACROS ******************************/ +// Obtain bit "b" from the left and shift it "c" places from the right +#define BITNUM(a,b,c) (((a[(b)/8] >> (7 - (b%8))) & 0x01) << (c)) +#define BITNUMINTR(a,b,c) ((((a) >> (31 - (b))) & 0x00000001) << (c)) +#define BITNUMINTL(a,b,c) ((((a) << (b)) & 0x80000000) >> (c)) + +// This macro converts a 6 bit block with the S-Box row defined as the first and last +// bits to a 6 bit block with the row defined by the first two bits. +#define SBOXBIT(a) (((a) & 0x20) | (((a) & 0x1f) >> 1) | (((a) & 0x01) << 4)) + +/**************************** VARIABLES *****************************/ +static const BYTE sbox1[64] = { + 14, 4, 13, 1, 2, 15, 11, 8, 3, 10, 6, 12, 5, 9, 0, 7, + 0, 15, 7, 4, 14, 2, 13, 1, 10, 6, 12, 11, 9, 5, 3, 8, + 4, 1, 14, 8, 13, 6, 2, 11, 15, 12, 9, 7, 3, 10, 5, 0, + 15, 12, 8, 2, 4, 9, 1, 7, 5, 11, 3, 14, 10, 0, 6, 13 +}; +static const BYTE sbox2[64] = { + 15, 1, 8, 14, 6, 11, 3, 4, 9, 7, 2, 13, 12, 0, 5, 10, + 3, 13, 4, 7, 15, 2, 8, 14, 12, 0, 1, 10, 6, 9, 11, 5, + 0, 14, 7, 11, 10, 4, 13, 1, 5, 8, 12, 6, 9, 3, 2, 15, + 13, 8, 10, 1, 3, 15, 4, 2, 11, 6, 7, 12, 0, 5, 14, 9 +}; +static const BYTE sbox3[64] = { + 10, 0, 9, 14, 6, 3, 15, 5, 1, 13, 12, 7, 11, 4, 2, 8, + 13, 7, 0, 9, 3, 4, 6, 10, 2, 8, 5, 14, 12, 11, 15, 1, + 13, 6, 4, 9, 8, 15, 3, 0, 11, 1, 2, 12, 5, 10, 14, 7, + 1, 10, 13, 0, 6, 9, 8, 7, 4, 15, 14, 3, 11, 5, 2, 12 +}; +static const BYTE sbox4[64] = { + 7, 13, 14, 3, 0, 6, 9, 10, 1, 2, 8, 5, 11, 12, 4, 15, + 13, 8, 11, 5, 6, 15, 0, 3, 4, 7, 2, 12, 1, 10, 14, 9, + 10, 6, 9, 0, 12, 11, 7, 13, 15, 1, 3, 14, 5, 2, 8, 4, + 3, 15, 0, 6, 10, 1, 13, 8, 9, 4, 5, 11, 12, 7, 2, 14 +}; +static const BYTE sbox5[64] = { + 2, 12, 4, 1, 7, 10, 11, 6, 8, 5, 3, 15, 13, 0, 14, 9, + 14, 11, 2, 12, 4, 7, 13, 1, 5, 0, 15, 10, 3, 9, 8, 6, + 4, 2, 1, 11, 10, 13, 7, 8, 15, 9, 12, 5, 6, 3, 0, 14, + 11, 8, 12, 7, 1, 14, 2, 13, 6, 15, 0, 9, 10, 4, 5, 3 +}; +static const BYTE sbox6[64] = { + 12, 1, 10, 15, 9, 2, 6, 8, 0, 13, 3, 4, 14, 7, 5, 11, + 10, 15, 4, 2, 7, 12, 9, 5, 6, 1, 13, 14, 0, 11, 3, 8, + 9, 14, 15, 5, 2, 8, 12, 3, 7, 0, 4, 10, 1, 13, 11, 6, + 4, 3, 2, 12, 9, 5, 15, 10, 11, 14, 1, 7, 6, 0, 8, 13 +}; +static const BYTE sbox7[64] = { + 4, 11, 2, 14, 15, 0, 8, 13, 3, 12, 9, 7, 5, 10, 6, 1, + 13, 0, 11, 7, 4, 9, 1, 10, 14, 3, 5, 12, 2, 15, 8, 6, + 1, 4, 11, 13, 12, 3, 7, 14, 10, 15, 6, 8, 0, 5, 9, 2, + 6, 11, 13, 8, 1, 4, 10, 7, 9, 5, 0, 15, 14, 2, 3, 12 +}; +static const BYTE sbox8[64] = { + 13, 2, 8, 4, 6, 15, 11, 1, 10, 9, 3, 14, 5, 0, 12, 7, + 1, 15, 13, 8, 10, 3, 7, 4, 12, 5, 6, 11, 0, 14, 9, 2, + 7, 11, 4, 1, 9, 12, 14, 2, 0, 6, 10, 13, 15, 3, 5, 8, + 2, 1, 14, 7, 4, 10, 8, 13, 15, 12, 9, 0, 3, 5, 6, 11 +}; + +/*********************** FUNCTION DEFINITIONS ***********************/ +// Initial (Inv)Permutation step +void IP(WORD state[], const BYTE in[]) +{ + state[0] = BITNUM(in,57,31) | BITNUM(in,49,30) | BITNUM(in,41,29) | BITNUM(in,33,28) | + BITNUM(in,25,27) | BITNUM(in,17,26) | BITNUM(in,9,25) | BITNUM(in,1,24) | + BITNUM(in,59,23) | BITNUM(in,51,22) | BITNUM(in,43,21) | BITNUM(in,35,20) | + BITNUM(in,27,19) | BITNUM(in,19,18) | BITNUM(in,11,17) | BITNUM(in,3,16) | + BITNUM(in,61,15) | BITNUM(in,53,14) | BITNUM(in,45,13) | BITNUM(in,37,12) | + BITNUM(in,29,11) | BITNUM(in,21,10) | BITNUM(in,13,9) | BITNUM(in,5,8) | + BITNUM(in,63,7) | BITNUM(in,55,6) | BITNUM(in,47,5) | BITNUM(in,39,4) | + BITNUM(in,31,3) | BITNUM(in,23,2) | BITNUM(in,15,1) | BITNUM(in,7,0); + + state[1] = BITNUM(in,56,31) | BITNUM(in,48,30) | BITNUM(in,40,29) | BITNUM(in,32,28) | + BITNUM(in,24,27) | BITNUM(in,16,26) | BITNUM(in,8,25) | BITNUM(in,0,24) | + BITNUM(in,58,23) | BITNUM(in,50,22) | BITNUM(in,42,21) | BITNUM(in,34,20) | + BITNUM(in,26,19) | BITNUM(in,18,18) | BITNUM(in,10,17) | BITNUM(in,2,16) | + BITNUM(in,60,15) | BITNUM(in,52,14) | BITNUM(in,44,13) | BITNUM(in,36,12) | + BITNUM(in,28,11) | BITNUM(in,20,10) | BITNUM(in,12,9) | BITNUM(in,4,8) | + BITNUM(in,62,7) | BITNUM(in,54,6) | BITNUM(in,46,5) | BITNUM(in,38,4) | + BITNUM(in,30,3) | BITNUM(in,22,2) | BITNUM(in,14,1) | BITNUM(in,6,0); +} + +void InvIP(WORD state[], BYTE in[]) +{ + in[0] = BITNUMINTR(state[1],7,7) | BITNUMINTR(state[0],7,6) | BITNUMINTR(state[1],15,5) | + BITNUMINTR(state[0],15,4) | BITNUMINTR(state[1],23,3) | BITNUMINTR(state[0],23,2) | + BITNUMINTR(state[1],31,1) | BITNUMINTR(state[0],31,0); + + in[1] = BITNUMINTR(state[1],6,7) | BITNUMINTR(state[0],6,6) | BITNUMINTR(state[1],14,5) | + BITNUMINTR(state[0],14,4) | BITNUMINTR(state[1],22,3) | BITNUMINTR(state[0],22,2) | + BITNUMINTR(state[1],30,1) | BITNUMINTR(state[0],30,0); + + in[2] = BITNUMINTR(state[1],5,7) | BITNUMINTR(state[0],5,6) | BITNUMINTR(state[1],13,5) | + BITNUMINTR(state[0],13,4) | BITNUMINTR(state[1],21,3) | BITNUMINTR(state[0],21,2) | + BITNUMINTR(state[1],29,1) | BITNUMINTR(state[0],29,0); + + in[3] = BITNUMINTR(state[1],4,7) | BITNUMINTR(state[0],4,6) | BITNUMINTR(state[1],12,5) | + BITNUMINTR(state[0],12,4) | BITNUMINTR(state[1],20,3) | BITNUMINTR(state[0],20,2) | + BITNUMINTR(state[1],28,1) | BITNUMINTR(state[0],28,0); + + in[4] = BITNUMINTR(state[1],3,7) | BITNUMINTR(state[0],3,6) | BITNUMINTR(state[1],11,5) | + BITNUMINTR(state[0],11,4) | BITNUMINTR(state[1],19,3) | BITNUMINTR(state[0],19,2) | + BITNUMINTR(state[1],27,1) | BITNUMINTR(state[0],27,0); + + in[5] = BITNUMINTR(state[1],2,7) | BITNUMINTR(state[0],2,6) | BITNUMINTR(state[1],10,5) | + BITNUMINTR(state[0],10,4) | BITNUMINTR(state[1],18,3) | BITNUMINTR(state[0],18,2) | + BITNUMINTR(state[1],26,1) | BITNUMINTR(state[0],26,0); + + in[6] = BITNUMINTR(state[1],1,7) | BITNUMINTR(state[0],1,6) | BITNUMINTR(state[1],9,5) | + BITNUMINTR(state[0],9,4) | BITNUMINTR(state[1],17,3) | BITNUMINTR(state[0],17,2) | + BITNUMINTR(state[1],25,1) | BITNUMINTR(state[0],25,0); + + in[7] = BITNUMINTR(state[1],0,7) | BITNUMINTR(state[0],0,6) | BITNUMINTR(state[1],8,5) | + BITNUMINTR(state[0],8,4) | BITNUMINTR(state[1],16,3) | BITNUMINTR(state[0],16,2) | + BITNUMINTR(state[1],24,1) | BITNUMINTR(state[0],24,0); +} + +WORD f(WORD state, const BYTE key[]) +{ + BYTE lrgstate[6]; //,i; + WORD t1,t2; + + // Expantion Permutation + t1 = BITNUMINTL(state,31,0) | ((state & 0xf0000000) >> 1) | BITNUMINTL(state,4,5) | + BITNUMINTL(state,3,6) | ((state & 0x0f000000) >> 3) | BITNUMINTL(state,8,11) | + BITNUMINTL(state,7,12) | ((state & 0x00f00000) >> 5) | BITNUMINTL(state,12,17) | + BITNUMINTL(state,11,18) | ((state & 0x000f0000) >> 7) | BITNUMINTL(state,16,23); + + t2 = BITNUMINTL(state,15,0) | ((state & 0x0000f000) << 15) | BITNUMINTL(state,20,5) | + BITNUMINTL(state,19,6) | ((state & 0x00000f00) << 13) | BITNUMINTL(state,24,11) | + BITNUMINTL(state,23,12) | ((state & 0x000000f0) << 11) | BITNUMINTL(state,28,17) | + BITNUMINTL(state,27,18) | ((state & 0x0000000f) << 9) | BITNUMINTL(state,0,23); + + lrgstate[0] = (t1 >> 24) & 0x000000ff; + lrgstate[1] = (t1 >> 16) & 0x000000ff; + lrgstate[2] = (t1 >> 8) & 0x000000ff; + lrgstate[3] = (t2 >> 24) & 0x000000ff; + lrgstate[4] = (t2 >> 16) & 0x000000ff; + lrgstate[5] = (t2 >> 8) & 0x000000ff; + + // Key XOR + lrgstate[0] ^= key[0]; + lrgstate[1] ^= key[1]; + lrgstate[2] ^= key[2]; + lrgstate[3] ^= key[3]; + lrgstate[4] ^= key[4]; + lrgstate[5] ^= key[5]; + + // S-Box Permutation + state = (sbox1[SBOXBIT(lrgstate[0] >> 2)] << 28) | + (sbox2[SBOXBIT(((lrgstate[0] & 0x03) << 4) | (lrgstate[1] >> 4))] << 24) | + (sbox3[SBOXBIT(((lrgstate[1] & 0x0f) << 2) | (lrgstate[2] >> 6))] << 20) | + (sbox4[SBOXBIT(lrgstate[2] & 0x3f)] << 16) | + (sbox5[SBOXBIT(lrgstate[3] >> 2)] << 12) | + (sbox6[SBOXBIT(((lrgstate[3] & 0x03) << 4) | (lrgstate[4] >> 4))] << 8) | + (sbox7[SBOXBIT(((lrgstate[4] & 0x0f) << 2) | (lrgstate[5] >> 6))] << 4) | + sbox8[SBOXBIT(lrgstate[5] & 0x3f)]; + + // P-Box Permutation + state = BITNUMINTL(state,15,0) | BITNUMINTL(state,6,1) | BITNUMINTL(state,19,2) | + BITNUMINTL(state,20,3) | BITNUMINTL(state,28,4) | BITNUMINTL(state,11,5) | + BITNUMINTL(state,27,6) | BITNUMINTL(state,16,7) | BITNUMINTL(state,0,8) | + BITNUMINTL(state,14,9) | BITNUMINTL(state,22,10) | BITNUMINTL(state,25,11) | + BITNUMINTL(state,4,12) | BITNUMINTL(state,17,13) | BITNUMINTL(state,30,14) | + BITNUMINTL(state,9,15) | BITNUMINTL(state,1,16) | BITNUMINTL(state,7,17) | + BITNUMINTL(state,23,18) | BITNUMINTL(state,13,19) | BITNUMINTL(state,31,20) | + BITNUMINTL(state,26,21) | BITNUMINTL(state,2,22) | BITNUMINTL(state,8,23) | + BITNUMINTL(state,18,24) | BITNUMINTL(state,12,25) | BITNUMINTL(state,29,26) | + BITNUMINTL(state,5,27) | BITNUMINTL(state,21,28) | BITNUMINTL(state,10,29) | + BITNUMINTL(state,3,30) | BITNUMINTL(state,24,31); + + // Return the final state value + return(state); +} + +void des_key_setup(const BYTE key[], BYTE schedule[][6], DES_MODE mode) +{ + WORD i, j, to_gen, C, D; + const WORD key_rnd_shift[16] = {1,1,2,2,2,2,2,2,1,2,2,2,2,2,2,1}; + const WORD key_perm_c[28] = {56,48,40,32,24,16,8,0,57,49,41,33,25,17, + 9,1,58,50,42,34,26,18,10,2,59,51,43,35}; + const WORD key_perm_d[28] = {62,54,46,38,30,22,14,6,61,53,45,37,29,21, + 13,5,60,52,44,36,28,20,12,4,27,19,11,3}; + const WORD key_compression[48] = {13,16,10,23,0,4,2,27,14,5,20,9, + 22,18,11,3,25,7,15,6,26,19,12,1, + 40,51,30,36,46,54,29,39,50,44,32,47, + 43,48,38,55,33,52,45,41,49,35,28,31}; + + // Permutated Choice #1 (copy the key in, ignoring parity bits). + for (i = 0, j = 31, C = 0; i < 28; ++i, --j) + C |= BITNUM(key,key_perm_c[i],j); + for (i = 0, j = 31, D = 0; i < 28; ++i, --j) + D |= BITNUM(key,key_perm_d[i],j); + + // Generate the 16 subkeys. + for (i = 0; i < 16; ++i) { + C = ((C << key_rnd_shift[i]) | (C >> (28-key_rnd_shift[i]))) & 0xfffffff0; + D = ((D << key_rnd_shift[i]) | (D >> (28-key_rnd_shift[i]))) & 0xfffffff0; + + // Decryption subkeys are reverse order of encryption subkeys so + // generate them in reverse if the key schedule is for decryption useage. + if (mode == DES_DECRYPT) + to_gen = 15 - i; + else /*(if mode == DES_ENCRYPT)*/ + to_gen = i; + // Initialize the array + for (j = 0; j < 6; ++j) + schedule[to_gen][j] = 0; + for (j = 0; j < 24; ++j) + schedule[to_gen][j/8] |= BITNUMINTR(C,key_compression[j],7 - (j%8)); + for ( ; j < 48; ++j) + schedule[to_gen][j/8] |= BITNUMINTR(D,key_compression[j] - 28,7 - (j%8)); + } +} + +void des_crypt(const BYTE in[], BYTE out[], const BYTE key[][6]) +{ + WORD state[2],idx,t; + + IP(state,in); + + for (idx=0; idx < 15; ++idx) { + t = state[1]; + state[1] = f(state[1],key[idx]) ^ state[0]; + state[0] = t; + } + // Perform the final loop manually as it doesn't switch sides + state[0] = f(state[1],key[15]) ^ state[0]; + + InvIP(state,out); +} + +void three_des_key_setup(const BYTE key[], BYTE schedule[][16][6], DES_MODE mode) +{ + if (mode == DES_ENCRYPT) { + des_key_setup(&key[0],schedule[0],mode); + des_key_setup(&key[8],schedule[1],!mode); + des_key_setup(&key[16],schedule[2],mode); + } + else /*if (mode == DES_DECRYPT*/ { + des_key_setup(&key[16],schedule[0],mode); + des_key_setup(&key[8],schedule[1],!mode); + des_key_setup(&key[0],schedule[2],mode); + } +} + +void three_des_crypt(const BYTE in[], BYTE out[], const BYTE key[][16][6]) +{ + des_crypt(in,out,key[0]); + des_crypt(out,out,key[1]); + des_crypt(out,out,key[2]); +} diff --git a/lib/crypto-algorithms/des.h b/lib/crypto-algorithms/des.h new file mode 100644 index 0000000..1503772 --- /dev/null +++ b/lib/crypto-algorithms/des.h @@ -0,0 +1,37 @@ +/********************************************************************* +* Filename: des.h +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Defines the API for the corresponding DES implementation. + Note that encryption and decryption are defined by how + the key setup is performed, the actual en/de-cryption is + performed by the same function. +*********************************************************************/ + +#ifndef DES_H +#define DESH + +/*************************** HEADER FILES ***************************/ +#include <stddef.h> + +/****************************** MACROS ******************************/ +#define DES_BLOCK_SIZE 8 // DES operates on 8 bytes at a time + +/**************************** DATA TYPES ****************************/ +typedef unsigned char BYTE; // 8-bit byte +typedef unsigned int WORD; // 32-bit word, change to "long" for 16-bit machines + +typedef enum { + DES_ENCRYPT, + DES_DECRYPT +} DES_MODE; + +/*********************** FUNCTION DECLARATIONS **********************/ +void des_key_setup(const BYTE key[], BYTE schedule[][6], DES_MODE mode); +void des_crypt(const BYTE in[], BYTE out[], const BYTE key[][6]); + +void three_des_key_setup(const BYTE key[], BYTE schedule[][16][6], DES_MODE mode); +void three_des_crypt(const BYTE in[], BYTE out[], const BYTE key[][16][6]); + +#endif // DES_H diff --git a/lib/crypto-algorithms/des_test.c b/lib/crypto-algorithms/des_test.c new file mode 100644 index 0000000..3e46134 --- /dev/null +++ b/lib/crypto-algorithms/des_test.c @@ -0,0 +1,83 @@ +/********************************************************************* +* Filename: des_test.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Performs known-answer tests on the corresponding DES + implementation. These tests do not encompass the full + range of available test vectors, however, if the tests + pass it is very, very likely that the code is correct + and was compiled properly. This code also serves as + example usage of the functions. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdio.h> +#include <memory.h> +#include "des.h" + +/*********************** FUNCTION DEFINITIONS ***********************/ +int des_test() +{ + BYTE pt1[DES_BLOCK_SIZE] = {0x01,0x23,0x45,0x67,0x89,0xAB,0xCD,0xE7}; + BYTE pt2[DES_BLOCK_SIZE] = {0x01,0x23,0x45,0x67,0x89,0xAB,0xCD,0xEF}; + BYTE pt3[DES_BLOCK_SIZE] = {0x54,0x68,0x65,0x20,0x71,0x75,0x66,0x63}; + BYTE ct1[DES_BLOCK_SIZE] = {0xc9,0x57,0x44,0x25,0x6a,0x5e,0xd3,0x1d}; + BYTE ct2[DES_BLOCK_SIZE] = {0x85,0xe8,0x13,0x54,0x0f,0x0a,0xb4,0x05}; + BYTE ct3[DES_BLOCK_SIZE] = {0xc9,0x57,0x44,0x25,0x6a,0x5e,0xd3,0x1d}; + BYTE ct4[DES_BLOCK_SIZE] = {0xA8,0x26,0xFD,0x8C,0xE5,0x3B,0x85,0x5F}; + BYTE key1[DES_BLOCK_SIZE] = {0x01,0x23,0x45,0x67,0x89,0xAB,0xCD,0xEF}; + BYTE key2[DES_BLOCK_SIZE] = {0x13,0x34,0x57,0x79,0x9B,0xBC,0xDF,0xF1}; + BYTE three_key1[DES_BLOCK_SIZE * 3] = {0x01,0x23,0x45,0x67,0x89,0xAB,0xCD,0xEF, + 0x01,0x23,0x45,0x67,0x89,0xAB,0xCD,0xEF, + 0x01,0x23,0x45,0x67,0x89,0xAB,0xCD,0xEF}; + BYTE three_key2[DES_BLOCK_SIZE * 3] = {0x01,0x23,0x45,0x67,0x89,0xAB,0xCD,0xEF, + 0x23,0x45,0x67,0x89,0xAB,0xCD,0xEF,0x01, + 0x45,0x67,0x89,0xAB,0xCD,0xEF,0x01,0x23}; + + BYTE schedule[16][6]; + BYTE three_schedule[3][16][6]; + BYTE buf[DES_BLOCK_SIZE]; + int pass = 1; + + des_key_setup(key1, schedule, DES_ENCRYPT); + des_crypt(pt1, buf, schedule); + pass = pass && !memcmp(ct1, buf, DES_BLOCK_SIZE); + + des_key_setup(key1, schedule, DES_DECRYPT); + des_crypt(ct1, buf, schedule); + pass = pass && !memcmp(pt1, buf, DES_BLOCK_SIZE); + + des_key_setup(key2, schedule, DES_ENCRYPT); + des_crypt(pt2, buf, schedule); + pass = pass && !memcmp(ct2, buf, DES_BLOCK_SIZE); + + des_key_setup(key2, schedule, DES_DECRYPT); + des_crypt(ct2, buf, schedule); + pass = pass && !memcmp(pt2, buf, DES_BLOCK_SIZE); + + three_des_key_setup(three_key1, three_schedule, DES_ENCRYPT); + three_des_crypt(pt1, buf, three_schedule); + pass = pass && !memcmp(ct3, buf, DES_BLOCK_SIZE); + + three_des_key_setup(three_key1, three_schedule, DES_DECRYPT); + three_des_crypt(ct3, buf, three_schedule); + pass = pass && !memcmp(pt1, buf, DES_BLOCK_SIZE); + + three_des_key_setup(three_key2, three_schedule, DES_ENCRYPT); + three_des_crypt(pt3, buf, three_schedule); + pass = pass && !memcmp(ct4, buf, DES_BLOCK_SIZE); + + three_des_key_setup(three_key2, three_schedule, DES_DECRYPT); + three_des_crypt(ct4, buf, three_schedule); + pass = pass && !memcmp(pt3, buf, DES_BLOCK_SIZE); + + return(pass); +} + +int main() +{ + printf("DES test: %s\n", des_test() ? "SUCCEEDED" : "FAILED"); + + return(0); +} diff --git a/lib/crypto-algorithms/md2.c b/lib/crypto-algorithms/md2.c new file mode 100644 index 0000000..de6bb6b --- /dev/null +++ b/lib/crypto-algorithms/md2.c @@ -0,0 +1,104 @@ +/********************************************************************* +* Filename: md2.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Implementation of the MD2 hashing algorithm. + Algorithm specification can be found here: + * http://tools.ietf.org/html/rfc1319 . + Input is little endian byte order. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdlib.h> +#include <memory.h> +#include "md2.h" + +/**************************** VARIABLES *****************************/ +static const BYTE s[256] = { + 41, 46, 67, 201, 162, 216, 124, 1, 61, 54, 84, 161, 236, 240, 6, + 19, 98, 167, 5, 243, 192, 199, 115, 140, 152, 147, 43, 217, 188, + 76, 130, 202, 30, 155, 87, 60, 253, 212, 224, 22, 103, 66, 111, 24, + 138, 23, 229, 18, 190, 78, 196, 214, 218, 158, 222, 73, 160, 251, + 245, 142, 187, 47, 238, 122, 169, 104, 121, 145, 21, 178, 7, 63, + 148, 194, 16, 137, 11, 34, 95, 33, 128, 127, 93, 154, 90, 144, 50, + 39, 53, 62, 204, 231, 191, 247, 151, 3, 255, 25, 48, 179, 72, 165, + 181, 209, 215, 94, 146, 42, 172, 86, 170, 198, 79, 184, 56, 210, + 150, 164, 125, 182, 118, 252, 107, 226, 156, 116, 4, 241, 69, 157, + 112, 89, 100, 113, 135, 32, 134, 91, 207, 101, 230, 45, 168, 2, 27, + 96, 37, 173, 174, 176, 185, 246, 28, 70, 97, 105, 52, 64, 126, 15, + 85, 71, 163, 35, 221, 81, 175, 58, 195, 92, 249, 206, 186, 197, + 234, 38, 44, 83, 13, 110, 133, 40, 132, 9, 211, 223, 205, 244, 65, + 129, 77, 82, 106, 220, 55, 200, 108, 193, 171, 250, 36, 225, 123, + 8, 12, 189, 177, 74, 120, 136, 149, 139, 227, 99, 232, 109, 233, + 203, 213, 254, 59, 0, 29, 57, 242, 239, 183, 14, 102, 88, 208, 228, + 166, 119, 114, 248, 235, 117, 75, 10, 49, 68, 80, 180, 143, 237, + 31, 26, 219, 153, 141, 51, 159, 17, 131, 20 +}; + +/*********************** FUNCTION DEFINITIONS ***********************/ +void md2_transform(MD2_CTX *ctx, BYTE data[]) +{ + int j,k,t; + + //memcpy(&ctx->state[16], data); + for (j=0; j < 16; ++j) { + ctx->state[j + 16] = data[j]; + ctx->state[j + 32] = (ctx->state[j+16] ^ ctx->state[j]); + } + + t = 0; + for (j = 0; j < 18; ++j) { + for (k = 0; k < 48; ++k) { + ctx->state[k] ^= s[t]; + t = ctx->state[k]; + } + t = (t+j) & 0xFF; + } + + t = ctx->checksum[15]; + for (j=0; j < 16; ++j) { + ctx->checksum[j] ^= s[data[j] ^ t]; + t = ctx->checksum[j]; + } +} + +void md2_init(MD2_CTX *ctx) +{ + int i; + + for (i=0; i < 48; ++i) + ctx->state[i] = 0; + for (i=0; i < 16; ++i) + ctx->checksum[i] = 0; + ctx->len = 0; +} + +void md2_update(MD2_CTX *ctx, const BYTE data[], size_t len) +{ + size_t i; + + for (i = 0; i < len; ++i) { + ctx->data[ctx->len] = data[i]; + ctx->len++; + if (ctx->len == MD2_BLOCK_SIZE) { + md2_transform(ctx, ctx->data); + ctx->len = 0; + } + } +} + +void md2_final(MD2_CTX *ctx, BYTE hash[]) +{ + int to_pad; + + to_pad = MD2_BLOCK_SIZE - ctx->len; + + while (ctx->len < MD2_BLOCK_SIZE) + ctx->data[ctx->len++] = to_pad; + + md2_transform(ctx, ctx->data); + md2_transform(ctx, ctx->checksum); + + memcpy(hash, ctx->state, MD2_BLOCK_SIZE); +} diff --git a/lib/crypto-algorithms/md2.h b/lib/crypto-algorithms/md2.h new file mode 100644 index 0000000..97706af --- /dev/null +++ b/lib/crypto-algorithms/md2.h @@ -0,0 +1,33 @@ +/********************************************************************* +* Filename: md2.h +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Defines the API for the corresponding MD2 implementation. +*********************************************************************/ + +#ifndef MD2_H +#define MD2_H + +/*************************** HEADER FILES ***************************/ +#include <stddef.h> + +/****************************** MACROS ******************************/ +#define MD2_BLOCK_SIZE 16 + +/**************************** DATA TYPES ****************************/ +typedef unsigned char BYTE; // 8-bit byte + +typedef struct { + BYTE data[16]; + BYTE state[48]; + BYTE checksum[16]; + int len; +} MD2_CTX; + +/*********************** FUNCTION DECLARATIONS **********************/ +void md2_init(MD2_CTX *ctx); +void md2_update(MD2_CTX *ctx, const BYTE data[], size_t len); +void md2_final(MD2_CTX *ctx, BYTE hash[]); // size of hash must be MD2_BLOCK_SIZE + +#endif // MD2_H diff --git a/lib/crypto-algorithms/md2_test.c b/lib/crypto-algorithms/md2_test.c new file mode 100644 index 0000000..883f20a --- /dev/null +++ b/lib/crypto-algorithms/md2_test.c @@ -0,0 +1,58 @@ +/********************************************************************* +* Filename: md2_test.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Performs known-answer tests on the corresponding MD2 + implementation. These tests do not encompass the full + range of available test vectors, however, if the tests + pass it is very, very likely that the code is correct + and was compiled properly. This code also serves as + example usage of the functions. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdio.h> +#include <string.h> +#include <memory.h> +#include "md2.h" + +/*********************** FUNCTION DEFINITIONS ***********************/ +int md2_test() +{ + BYTE text1[] = {"abc"}; + BYTE text2[] = {"abcdefghijklmnopqrstuvwxyz"}; + BYTE text3_1[] = {"ABCDEFGHIJKLMNOPQRSTUVWXYZabcde"}; + BYTE text3_2[] = {"fghijklmnopqrstuvwxyz0123456789"}; + BYTE hash1[MD2_BLOCK_SIZE] = {0xda,0x85,0x3b,0x0d,0x3f,0x88,0xd9,0x9b,0x30,0x28,0x3a,0x69,0xe6,0xde,0xd6,0xbb}; + BYTE hash2[MD2_BLOCK_SIZE] = {0x4e,0x8d,0xdf,0xf3,0x65,0x02,0x92,0xab,0x5a,0x41,0x08,0xc3,0xaa,0x47,0x94,0x0b}; + BYTE hash3[MD2_BLOCK_SIZE] = {0xda,0x33,0xde,0xf2,0xa4,0x2d,0xf1,0x39,0x75,0x35,0x28,0x46,0xc3,0x03,0x38,0xcd}; + BYTE buf[16]; + MD2_CTX ctx; + int pass = 1; + + md2_init(&ctx); + md2_update(&ctx, text1, strlen(text1)); + md2_final(&ctx, buf); + pass = pass && !memcmp(hash1, buf, MD2_BLOCK_SIZE); + + // Note that the MD2 object can be re-used. + md2_init(&ctx); + md2_update(&ctx, text2, strlen(text2)); + md2_final(&ctx, buf); + pass = pass && !memcmp(hash2, buf, MD2_BLOCK_SIZE); + + // Note that the data is added in two chunks. + md2_init(&ctx); + md2_update(&ctx, text3_1, strlen(text3_1)); + md2_update(&ctx, text3_2, strlen(text3_2)); + md2_final(&ctx, buf); + pass = pass && !memcmp(hash3, buf, MD2_BLOCK_SIZE); + + return(pass); +} + +int main() +{ + printf("MD2 tests: %s\n", md2_test() ? "SUCCEEDED" : "FAILED"); +} diff --git a/lib/crypto-algorithms/md5.c b/lib/crypto-algorithms/md5.c new file mode 100644 index 0000000..cdba052 --- /dev/null +++ b/lib/crypto-algorithms/md5.c @@ -0,0 +1,189 @@ +/********************************************************************* +* Filename: md5.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Implementation of the MD5 hashing algorithm. + Algorithm specification can be found here: + * http://tools.ietf.org/html/rfc1321 + This implementation uses little endian byte order. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdlib.h> +#include <memory.h> +#include "md5.h" + +/****************************** MACROS ******************************/ +#define ROTLEFT(a,b) ((a << b) | (a >> (32-b))) + +#define F(x,y,z) ((x & y) | (~x & z)) +#define G(x,y,z) ((x & z) | (y & ~z)) +#define H(x,y,z) (x ^ y ^ z) +#define I(x,y,z) (y ^ (x | ~z)) + +#define FF(a,b,c,d,m,s,t) { a += F(b,c,d) + m + t; \ + a = b + ROTLEFT(a,s); } +#define GG(a,b,c,d,m,s,t) { a += G(b,c,d) + m + t; \ + a = b + ROTLEFT(a,s); } +#define HH(a,b,c,d,m,s,t) { a += H(b,c,d) + m + t; \ + a = b + ROTLEFT(a,s); } +#define II(a,b,c,d,m,s,t) { a += I(b,c,d) + m + t; \ + a = b + ROTLEFT(a,s); } + +/*********************** FUNCTION DEFINITIONS ***********************/ +void md5_transform(MD5_CTX *ctx, const BYTE data[]) +{ + WORD a, b, c, d, m[16], i, j; + + // MD5 specifies big endian byte order, but this implementation assumes a little + // endian byte order CPU. Reverse all the bytes upon input, and re-reverse them + // on output (in md5_final()). + for (i = 0, j = 0; i < 16; ++i, j += 4) + m[i] = (data[j]) + (data[j + 1] << 8) + (data[j + 2] << 16) + (data[j + 3] << 24); + + a = ctx->state[0]; + b = ctx->state[1]; + c = ctx->state[2]; + d = ctx->state[3]; + + FF(a,b,c,d,m[0], 7,0xd76aa478); + FF(d,a,b,c,m[1], 12,0xe8c7b756); + FF(c,d,a,b,m[2], 17,0x242070db); + FF(b,c,d,a,m[3], 22,0xc1bdceee); + FF(a,b,c,d,m[4], 7,0xf57c0faf); + FF(d,a,b,c,m[5], 12,0x4787c62a); + FF(c,d,a,b,m[6], 17,0xa8304613); + FF(b,c,d,a,m[7], 22,0xfd469501); + FF(a,b,c,d,m[8], 7,0x698098d8); + FF(d,a,b,c,m[9], 12,0x8b44f7af); + FF(c,d,a,b,m[10],17,0xffff5bb1); + FF(b,c,d,a,m[11],22,0x895cd7be); + FF(a,b,c,d,m[12], 7,0x6b901122); + FF(d,a,b,c,m[13],12,0xfd987193); + FF(c,d,a,b,m[14],17,0xa679438e); + FF(b,c,d,a,m[15],22,0x49b40821); + + GG(a,b,c,d,m[1], 5,0xf61e2562); + GG(d,a,b,c,m[6], 9,0xc040b340); + GG(c,d,a,b,m[11],14,0x265e5a51); + GG(b,c,d,a,m[0], 20,0xe9b6c7aa); + GG(a,b,c,d,m[5], 5,0xd62f105d); + GG(d,a,b,c,m[10], 9,0x02441453); + GG(c,d,a,b,m[15],14,0xd8a1e681); + GG(b,c,d,a,m[4], 20,0xe7d3fbc8); + GG(a,b,c,d,m[9], 5,0x21e1cde6); + GG(d,a,b,c,m[14], 9,0xc33707d6); + GG(c,d,a,b,m[3], 14,0xf4d50d87); + GG(b,c,d,a,m[8], 20,0x455a14ed); + GG(a,b,c,d,m[13], 5,0xa9e3e905); + GG(d,a,b,c,m[2], 9,0xfcefa3f8); + GG(c,d,a,b,m[7], 14,0x676f02d9); + GG(b,c,d,a,m[12],20,0x8d2a4c8a); + + HH(a,b,c,d,m[5], 4,0xfffa3942); + HH(d,a,b,c,m[8], 11,0x8771f681); + HH(c,d,a,b,m[11],16,0x6d9d6122); + HH(b,c,d,a,m[14],23,0xfde5380c); + HH(a,b,c,d,m[1], 4,0xa4beea44); + HH(d,a,b,c,m[4], 11,0x4bdecfa9); + HH(c,d,a,b,m[7], 16,0xf6bb4b60); + HH(b,c,d,a,m[10],23,0xbebfbc70); + HH(a,b,c,d,m[13], 4,0x289b7ec6); + HH(d,a,b,c,m[0], 11,0xeaa127fa); + HH(c,d,a,b,m[3], 16,0xd4ef3085); + HH(b,c,d,a,m[6], 23,0x04881d05); + HH(a,b,c,d,m[9], 4,0xd9d4d039); + HH(d,a,b,c,m[12],11,0xe6db99e5); + HH(c,d,a,b,m[15],16,0x1fa27cf8); + HH(b,c,d,a,m[2], 23,0xc4ac5665); + + II(a,b,c,d,m[0], 6,0xf4292244); + II(d,a,b,c,m[7], 10,0x432aff97); + II(c,d,a,b,m[14],15,0xab9423a7); + II(b,c,d,a,m[5], 21,0xfc93a039); + II(a,b,c,d,m[12], 6,0x655b59c3); + II(d,a,b,c,m[3], 10,0x8f0ccc92); + II(c,d,a,b,m[10],15,0xffeff47d); + II(b,c,d,a,m[1], 21,0x85845dd1); + II(a,b,c,d,m[8], 6,0x6fa87e4f); + II(d,a,b,c,m[15],10,0xfe2ce6e0); + II(c,d,a,b,m[6], 15,0xa3014314); + II(b,c,d,a,m[13],21,0x4e0811a1); + II(a,b,c,d,m[4], 6,0xf7537e82); + II(d,a,b,c,m[11],10,0xbd3af235); + II(c,d,a,b,m[2], 15,0x2ad7d2bb); + II(b,c,d,a,m[9], 21,0xeb86d391); + + ctx->state[0] += a; + ctx->state[1] += b; + ctx->state[2] += c; + ctx->state[3] += d; +} + +void md5_init(MD5_CTX *ctx) +{ + ctx->datalen = 0; + ctx->bitlen = 0; + ctx->state[0] = 0x67452301; + ctx->state[1] = 0xEFCDAB89; + ctx->state[2] = 0x98BADCFE; + ctx->state[3] = 0x10325476; +} + +void md5_update(MD5_CTX *ctx, const BYTE data[], size_t len) +{ + size_t i; + + for (i = 0; i < len; ++i) { + ctx->data[ctx->datalen] = data[i]; + ctx->datalen++; + if (ctx->datalen == 64) { + md5_transform(ctx, ctx->data); + ctx->bitlen += 512; + ctx->datalen = 0; + } + } +} + +void md5_final(MD5_CTX *ctx, BYTE hash[]) +{ + size_t i; + + i = ctx->datalen; + + // Pad whatever data is left in the buffer. + if (ctx->datalen < 56) { + ctx->data[i++] = 0x80; + while (i < 56) + ctx->data[i++] = 0x00; + } + else if (ctx->datalen >= 56) { + ctx->data[i++] = 0x80; + while (i < 64) + ctx->data[i++] = 0x00; + md5_transform(ctx, ctx->data); + memset(ctx->data, 0, 56); + } + + // Append to the padding the total message's length in bits and transform. + ctx->bitlen += ctx->datalen * 8; + ctx->data[56] = ctx->bitlen; + ctx->data[57] = ctx->bitlen >> 8; + ctx->data[58] = ctx->bitlen >> 16; + ctx->data[59] = ctx->bitlen >> 24; + ctx->data[60] = ctx->bitlen >> 32; + ctx->data[61] = ctx->bitlen >> 40; + ctx->data[62] = ctx->bitlen >> 48; + ctx->data[63] = ctx->bitlen >> 56; + md5_transform(ctx, ctx->data); + + // Since this implementation uses little endian byte ordering and MD uses big endian, + // reverse all the bytes when copying the final state to the output hash. + for (i = 0; i < 4; ++i) { + hash[i] = (ctx->state[0] >> (i * 8)) & 0x000000ff; + hash[i + 4] = (ctx->state[1] >> (i * 8)) & 0x000000ff; + hash[i + 8] = (ctx->state[2] >> (i * 8)) & 0x000000ff; + hash[i + 12] = (ctx->state[3] >> (i * 8)) & 0x000000ff; + } +} diff --git a/lib/crypto-algorithms/md5.h b/lib/crypto-algorithms/md5.h new file mode 100644 index 0000000..1370387 --- /dev/null +++ b/lib/crypto-algorithms/md5.h @@ -0,0 +1,34 @@ +/********************************************************************* +* Filename: md5.h +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Defines the API for the corresponding MD5 implementation. +*********************************************************************/ + +#ifndef MD5_H +#define MD5_H + +/*************************** HEADER FILES ***************************/ +#include <stddef.h> + +/****************************** MACROS ******************************/ +#define MD5_BLOCK_SIZE 16 // MD5 outputs a 16 byte digest + +/**************************** DATA TYPES ****************************/ +typedef unsigned char BYTE; // 8-bit byte +typedef unsigned int WORD; // 32-bit word, change to "long" for 16-bit machines + +typedef struct { + BYTE data[64]; + WORD datalen; + unsigned long long bitlen; + WORD state[4]; +} MD5_CTX; + +/*********************** FUNCTION DECLARATIONS **********************/ +void md5_init(MD5_CTX *ctx); +void md5_update(MD5_CTX *ctx, const BYTE data[], size_t len); +void md5_final(MD5_CTX *ctx, BYTE hash[]); + +#endif // MD5_H diff --git a/lib/crypto-algorithms/md5_test.c b/lib/crypto-algorithms/md5_test.c new file mode 100644 index 0000000..e945c8b --- /dev/null +++ b/lib/crypto-algorithms/md5_test.c @@ -0,0 +1,60 @@ +/********************************************************************* +* Filename: md5_test.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Performs known-answer tests on the corresponding MD5 + implementation. These tests do not encompass the full + range of available test vectors, however, if the tests + pass it is very, very likely that the code is correct + and was compiled properly. This code also serves as + example usage of the functions. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdio.h> +#include <memory.h> +#include <string.h> +#include "md5.h" + +/*********************** FUNCTION DEFINITIONS ***********************/ +int md5_test() +{ + BYTE text1[] = {""}; + BYTE text2[] = {"abc"}; + BYTE text3_1[] = {"ABCDEFGHIJKLMNOPQRSTUVWXYZabcde"}; + BYTE text3_2[] = {"fghijklmnopqrstuvwxyz0123456789"}; + BYTE hash1[MD5_BLOCK_SIZE] = {0xd4,0x1d,0x8c,0xd9,0x8f,0x00,0xb2,0x04,0xe9,0x80,0x09,0x98,0xec,0xf8,0x42,0x7e}; + BYTE hash2[MD5_BLOCK_SIZE] = {0x90,0x01,0x50,0x98,0x3c,0xd2,0x4f,0xb0,0xd6,0x96,0x3f,0x7d,0x28,0xe1,0x7f,0x72}; + BYTE hash3[MD5_BLOCK_SIZE] = {0xd1,0x74,0xab,0x98,0xd2,0x77,0xd9,0xf5,0xa5,0x61,0x1c,0x2c,0x9f,0x41,0x9d,0x9f}; + BYTE buf[16]; + MD5_CTX ctx; + int pass = 1; + + md5_init(&ctx); + md5_update(&ctx, text1, strlen(text1)); + md5_final(&ctx, buf); + pass = pass && !memcmp(hash1, buf, MD5_BLOCK_SIZE); + + // Note the MD5 object can be reused. + md5_init(&ctx); + md5_update(&ctx, text2, strlen(text2)); + md5_final(&ctx, buf); + pass = pass && !memcmp(hash2, buf, MD5_BLOCK_SIZE); + + // Note the data is being added in two chunks. + md5_init(&ctx); + md5_update(&ctx, text3_1, strlen(text3_1)); + md5_update(&ctx, text3_2, strlen(text3_2)); + md5_final(&ctx, buf); + pass = pass && !memcmp(hash3, buf, MD5_BLOCK_SIZE); + + return(pass); +} + +int main() +{ + printf("MD5 tests: %s\n", md5_test() ? "SUCCEEDED" : "FAILED"); + + return(0); +} diff --git a/lib/crypto-algorithms/rot-13.c b/lib/crypto-algorithms/rot-13.c new file mode 100644 index 0000000..0ab8497 --- /dev/null +++ b/lib/crypto-algorithms/rot-13.c @@ -0,0 +1,35 @@ +/********************************************************************* +* Filename: rot-13.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Implementation of the ROT-13 encryption algorithm. + Algorithm specification can be found here: + * + This implementation uses little endian byte order. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <string.h> +#include "rot-13.h" + +/*********************** FUNCTION DEFINITIONS ***********************/ +void rot13(char str[]) +{ + int case_type, idx, len; + + for (idx = 0, len = strlen(str); idx < len; idx++) { + // Only process alphabetic characters. + if (str[idx] < 'A' || (str[idx] > 'Z' && str[idx] < 'a') || str[idx] > 'z') + continue; + // Determine if the char is upper or lower case. + if (str[idx] >= 'a') + case_type = 'a'; + else + case_type = 'A'; + // Rotate the char's value, ensuring it doesn't accidentally "fall off" the end. + str[idx] = (str[idx] + 13) % (case_type + 26); + if (str[idx] < 26) + str[idx] += case_type; + } +} diff --git a/lib/crypto-algorithms/rot-13.h b/lib/crypto-algorithms/rot-13.h new file mode 100644 index 0000000..4c581c3 --- /dev/null +++ b/lib/crypto-algorithms/rot-13.h @@ -0,0 +1,20 @@ +/********************************************************************* +* Filename: rot-13.h +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Defines the API for the corresponding ROT-13 implementation. +*********************************************************************/ + +#ifndef ROT13_H +#define ROT13_H + +/*************************** HEADER FILES ***************************/ +#include <stddef.h> + +/*********************** FUNCTION DECLARATIONS **********************/ +// Performs IN PLACE rotation of the input. Assumes input is NULL terminated. +// Preserves each charcter's case. Ignores non alphabetic characters. +void rot13(char str[]); + +#endif // ROT13_H diff --git a/lib/crypto-algorithms/rot-13_test.c b/lib/crypto-algorithms/rot-13_test.c new file mode 100644 index 0000000..a6fd01d --- /dev/null +++ b/lib/crypto-algorithms/rot-13_test.c @@ -0,0 +1,44 @@ +/********************************************************************* +* Filename: rot-13_test.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Performs known-answer tests on the corresponding ROT-13 + implementation. These tests do not encompass the full + range of available test vectors, however, if the tests + pass it is very, very likely that the code is correct + and was compiled properly. This code also serves as + example usage of the functions. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdio.h> +#include <string.h> +#include "rot-13.h" + +/*********************** FUNCTION DEFINITIONS ***********************/ +int rot13_test() +{ + char text[] = {"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"}; + char code[] = {"NOPQRSTUVWXYZABCDEFGHIJKLMnopqrstuvwxyzabcdefghijklm"}; + char buf[1024]; + int pass = 1; + + // To encode, just apply ROT-13. + strcpy(buf, text); + rot13(buf); + pass = pass && !strcmp(code, buf); + + // To decode, just re-apply ROT-13. + rot13(buf); + pass = pass && !strcmp(text, buf); + + return(pass); +} + +int main() +{ + printf("ROT-13 tests: %s\n", rot13_test() ? "SUCCEEDED" : "FAILED"); + + return(0); +} diff --git a/lib/crypto-algorithms/sha1.c b/lib/crypto-algorithms/sha1.c new file mode 100644 index 0000000..2f9622d --- /dev/null +++ b/lib/crypto-algorithms/sha1.c @@ -0,0 +1,149 @@ +/********************************************************************* +* Filename: sha1.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Implementation of the SHA1 hashing algorithm. + Algorithm specification can be found here: + * http://csrc.nist.gov/publications/fips/fips180-2/fips180-2withchangenotice.pdf + This implementation uses little endian byte order. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdlib.h> +#include <memory.h> +#include "sha1.h" + +/****************************** MACROS ******************************/ +#define ROTLEFT(a, b) ((a << b) | (a >> (32 - b))) + +/*********************** FUNCTION DEFINITIONS ***********************/ +void sha1_transform(SHA1_CTX *ctx, const BYTE data[]) +{ + WORD a, b, c, d, e, i, j, t, m[80]; + + for (i = 0, j = 0; i < 16; ++i, j += 4) + m[i] = (data[j] << 24) + (data[j + 1] << 16) + (data[j + 2] << 8) + (data[j + 3]); + for ( ; i < 80; ++i) { + m[i] = (m[i - 3] ^ m[i - 8] ^ m[i - 14] ^ m[i - 16]); + m[i] = (m[i] << 1) | (m[i] >> 31); + } + + a = ctx->state[0]; + b = ctx->state[1]; + c = ctx->state[2]; + d = ctx->state[3]; + e = ctx->state[4]; + + for (i = 0; i < 20; ++i) { + t = ROTLEFT(a, 5) + ((b & c) ^ (~b & d)) + e + ctx->k[0] + m[i]; + e = d; + d = c; + c = ROTLEFT(b, 30); + b = a; + a = t; + } + for ( ; i < 40; ++i) { + t = ROTLEFT(a, 5) + (b ^ c ^ d) + e + ctx->k[1] + m[i]; + e = d; + d = c; + c = ROTLEFT(b, 30); + b = a; + a = t; + } + for ( ; i < 60; ++i) { + t = ROTLEFT(a, 5) + ((b & c) ^ (b & d) ^ (c & d)) + e + ctx->k[2] + m[i]; + e = d; + d = c; + c = ROTLEFT(b, 30); + b = a; + a = t; + } + for ( ; i < 80; ++i) { + t = ROTLEFT(a, 5) + (b ^ c ^ d) + e + ctx->k[3] + m[i]; + e = d; + d = c; + c = ROTLEFT(b, 30); + b = a; + a = t; + } + + ctx->state[0] += a; + ctx->state[1] += b; + ctx->state[2] += c; + ctx->state[3] += d; + ctx->state[4] += e; +} + +void sha1_init(SHA1_CTX *ctx) +{ + ctx->datalen = 0; + ctx->bitlen = 0; + ctx->state[0] = 0x67452301; + ctx->state[1] = 0xEFCDAB89; + ctx->state[2] = 0x98BADCFE; + ctx->state[3] = 0x10325476; + ctx->state[4] = 0xc3d2e1f0; + ctx->k[0] = 0x5a827999; + ctx->k[1] = 0x6ed9eba1; + ctx->k[2] = 0x8f1bbcdc; + ctx->k[3] = 0xca62c1d6; +} + +void sha1_update(SHA1_CTX *ctx, const BYTE data[], size_t len) +{ + size_t i; + + for (i = 0; i < len; ++i) { + ctx->data[ctx->datalen] = data[i]; + ctx->datalen++; + if (ctx->datalen == 64) { + sha1_transform(ctx, ctx->data); + ctx->bitlen += 512; + ctx->datalen = 0; + } + } +} + +void sha1_final(SHA1_CTX *ctx, BYTE hash[]) +{ + WORD i; + + i = ctx->datalen; + + // Pad whatever data is left in the buffer. + if (ctx->datalen < 56) { + ctx->data[i++] = 0x80; + while (i < 56) + ctx->data[i++] = 0x00; + } + else { + ctx->data[i++] = 0x80; + while (i < 64) + ctx->data[i++] = 0x00; + sha1_transform(ctx, ctx->data); + memset(ctx->data, 0, 56); + } + + // Append to the padding the total message's length in bits and transform. + ctx->bitlen += ctx->datalen * 8; + ctx->data[63] = ctx->bitlen; + ctx->data[62] = ctx->bitlen >> 8; + ctx->data[61] = ctx->bitlen >> 16; + ctx->data[60] = ctx->bitlen >> 24; + ctx->data[59] = ctx->bitlen >> 32; + ctx->data[58] = ctx->bitlen >> 40; + ctx->data[57] = ctx->bitlen >> 48; + ctx->data[56] = ctx->bitlen >> 56; + sha1_transform(ctx, ctx->data); + + // Since this implementation uses little endian byte ordering and MD uses big endian, + // reverse all the bytes when copying the final state to the output hash. + for (i = 0; i < 4; ++i) { + hash[i] = (ctx->state[0] >> (24 - i * 8)) & 0x000000ff; + hash[i + 4] = (ctx->state[1] >> (24 - i * 8)) & 0x000000ff; + hash[i + 8] = (ctx->state[2] >> (24 - i * 8)) & 0x000000ff; + hash[i + 12] = (ctx->state[3] >> (24 - i * 8)) & 0x000000ff; + hash[i + 16] = (ctx->state[4] >> (24 - i * 8)) & 0x000000ff; + } +} diff --git a/lib/crypto-algorithms/sha1.h b/lib/crypto-algorithms/sha1.h new file mode 100644 index 0000000..f32bb7c --- /dev/null +++ b/lib/crypto-algorithms/sha1.h @@ -0,0 +1,35 @@ +/********************************************************************* +* Filename: sha1.h +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Defines the API for the corresponding SHA1 implementation. +*********************************************************************/ + +#ifndef SHA1_H +#define SHA1_H + +/*************************** HEADER FILES ***************************/ +#include <stddef.h> + +/****************************** MACROS ******************************/ +#define SHA1_BLOCK_SIZE 20 // SHA1 outputs a 20 byte digest + +/**************************** DATA TYPES ****************************/ +typedef unsigned char BYTE; // 8-bit byte +typedef unsigned int WORD; // 32-bit word, change to "long" for 16-bit machines + +typedef struct { + BYTE data[64]; + WORD datalen; + unsigned long long bitlen; + WORD state[5]; + WORD k[4]; +} SHA1_CTX; + +/*********************** FUNCTION DECLARATIONS **********************/ +void sha1_init(SHA1_CTX *ctx); +void sha1_update(SHA1_CTX *ctx, const BYTE data[], size_t len); +void sha1_final(SHA1_CTX *ctx, BYTE hash[]); + +#endif // SHA1_H diff --git a/lib/crypto-algorithms/sha1_test.c b/lib/crypto-algorithms/sha1_test.c new file mode 100644 index 0000000..6c78f7d --- /dev/null +++ b/lib/crypto-algorithms/sha1_test.c @@ -0,0 +1,58 @@ +/********************************************************************* +* Filename: sha1_test.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Performs known-answer tests on the corresponding SHA1 + implementation. These tests do not encompass the full + range of available test vectors, however, if the tests + pass it is very, very likely that the code is correct + and was compiled properly. This code also serves as + example usage of the functions. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdio.h> +#include <memory.h> +#include <string.h> +#include "sha1.h" + +/*********************** FUNCTION DEFINITIONS ***********************/ +int sha1_test() +{ + BYTE text1[] = {"abc"}; + BYTE text2[] = {"abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq"}; + BYTE text3[] = {"aaaaaaaaaa"}; + BYTE hash1[SHA1_BLOCK_SIZE] = {0xa9,0x99,0x3e,0x36,0x47,0x06,0x81,0x6a,0xba,0x3e,0x25,0x71,0x78,0x50,0xc2,0x6c,0x9c,0xd0,0xd8,0x9d}; + BYTE hash2[SHA1_BLOCK_SIZE] = {0x84,0x98,0x3e,0x44,0x1c,0x3b,0xd2,0x6e,0xba,0xae,0x4a,0xa1,0xf9,0x51,0x29,0xe5,0xe5,0x46,0x70,0xf1}; + BYTE hash3[SHA1_BLOCK_SIZE] = {0x34,0xaa,0x97,0x3c,0xd4,0xc4,0xda,0xa4,0xf6,0x1e,0xeb,0x2b,0xdb,0xad,0x27,0x31,0x65,0x34,0x01,0x6f}; + BYTE buf[SHA1_BLOCK_SIZE]; + int idx; + SHA1_CTX ctx; + int pass = 1; + + sha1_init(&ctx); + sha1_update(&ctx, text1, strlen(text1)); + sha1_final(&ctx, buf); + pass = pass && !memcmp(hash1, buf, SHA1_BLOCK_SIZE); + + sha1_init(&ctx); + sha1_update(&ctx, text2, strlen(text2)); + sha1_final(&ctx, buf); + pass = pass && !memcmp(hash2, buf, SHA1_BLOCK_SIZE); + + sha1_init(&ctx); + for (idx = 0; idx < 100000; ++idx) + sha1_update(&ctx, text3, strlen(text3)); + sha1_final(&ctx, buf); + pass = pass && !memcmp(hash3, buf, SHA1_BLOCK_SIZE); + + return(pass); +} + +int main() +{ + printf("SHA1 tests: %s\n", sha1_test() ? "SUCCEEDED" : "FAILED"); + + return(0); +} diff --git a/lib/crypto-algorithms/sha256.c b/lib/crypto-algorithms/sha256.c new file mode 100644 index 0000000..eb9c5c0 --- /dev/null +++ b/lib/crypto-algorithms/sha256.c @@ -0,0 +1,158 @@ +/********************************************************************* +* Filename: sha256.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Implementation of the SHA-256 hashing algorithm. + SHA-256 is one of the three algorithms in the SHA2 + specification. The others, SHA-384 and SHA-512, are not + offered in this implementation. + Algorithm specification can be found here: + * http://csrc.nist.gov/publications/fips/fips180-2/fips180-2withchangenotice.pdf + This implementation uses little endian byte order. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdlib.h> +#include <memory.h> +#include "sha256.h" + +/****************************** MACROS ******************************/ +#define ROTLEFT(a,b) (((a) << (b)) | ((a) >> (32-(b)))) +#define ROTRIGHT(a,b) (((a) >> (b)) | ((a) << (32-(b)))) + +#define CH(x,y,z) (((x) & (y)) ^ (~(x) & (z))) +#define MAJ(x,y,z) (((x) & (y)) ^ ((x) & (z)) ^ ((y) & (z))) +#define EP0(x) (ROTRIGHT(x,2) ^ ROTRIGHT(x,13) ^ ROTRIGHT(x,22)) +#define EP1(x) (ROTRIGHT(x,6) ^ ROTRIGHT(x,11) ^ ROTRIGHT(x,25)) +#define SIG0(x) (ROTRIGHT(x,7) ^ ROTRIGHT(x,18) ^ ((x) >> 3)) +#define SIG1(x) (ROTRIGHT(x,17) ^ ROTRIGHT(x,19) ^ ((x) >> 10)) + +/**************************** VARIABLES *****************************/ +static const WORD k[64] = { + 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5,0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5, + 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3,0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174, + 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc,0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da, + 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7,0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967, + 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13,0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85, + 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3,0xd192e819,0xd6990624,0xf40e3585,0x106aa070, + 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5,0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3, + 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208,0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 +}; + +/*********************** FUNCTION DEFINITIONS ***********************/ +void sha256_transform(SHA256_CTX *ctx, const BYTE data[]) +{ + WORD a, b, c, d, e, f, g, h, i, j, t1, t2, m[64]; + + for (i = 0, j = 0; i < 16; ++i, j += 4) + m[i] = (data[j] << 24) | (data[j + 1] << 16) | (data[j + 2] << 8) | (data[j + 3]); + for ( ; i < 64; ++i) + m[i] = SIG1(m[i - 2]) + m[i - 7] + SIG0(m[i - 15]) + m[i - 16]; + + a = ctx->state[0]; + b = ctx->state[1]; + c = ctx->state[2]; + d = ctx->state[3]; + e = ctx->state[4]; + f = ctx->state[5]; + g = ctx->state[6]; + h = ctx->state[7]; + + for (i = 0; i < 64; ++i) { + t1 = h + EP1(e) + CH(e,f,g) + k[i] + m[i]; + t2 = EP0(a) + MAJ(a,b,c); + h = g; + g = f; + f = e; + e = d + t1; + d = c; + c = b; + b = a; + a = t1 + t2; + } + + ctx->state[0] += a; + ctx->state[1] += b; + ctx->state[2] += c; + ctx->state[3] += d; + ctx->state[4] += e; + ctx->state[5] += f; + ctx->state[6] += g; + ctx->state[7] += h; +} + +void sha256_init(SHA256_CTX *ctx) +{ + ctx->datalen = 0; + ctx->bitlen = 0; + ctx->state[0] = 0x6a09e667; + ctx->state[1] = 0xbb67ae85; + ctx->state[2] = 0x3c6ef372; + ctx->state[3] = 0xa54ff53a; + ctx->state[4] = 0x510e527f; + ctx->state[5] = 0x9b05688c; + ctx->state[6] = 0x1f83d9ab; + ctx->state[7] = 0x5be0cd19; +} + +void sha256_update(SHA256_CTX *ctx, const BYTE data[], size_t len) +{ + WORD i; + + for (i = 0; i < len; ++i) { + ctx->data[ctx->datalen] = data[i]; + ctx->datalen++; + if (ctx->datalen == 64) { + sha256_transform(ctx, ctx->data); + ctx->bitlen += 512; + ctx->datalen = 0; + } + } +} + +void sha256_final(SHA256_CTX *ctx, BYTE hash[]) +{ + WORD i; + + i = ctx->datalen; + + // Pad whatever data is left in the buffer. + if (ctx->datalen < 56) { + ctx->data[i++] = 0x80; + while (i < 56) + ctx->data[i++] = 0x00; + } + else { + ctx->data[i++] = 0x80; + while (i < 64) + ctx->data[i++] = 0x00; + sha256_transform(ctx, ctx->data); + memset(ctx->data, 0, 56); + } + + // Append to the padding the total message's length in bits and transform. + ctx->bitlen += ctx->datalen * 8; + ctx->data[63] = ctx->bitlen; + ctx->data[62] = ctx->bitlen >> 8; + ctx->data[61] = ctx->bitlen >> 16; + ctx->data[60] = ctx->bitlen >> 24; + ctx->data[59] = ctx->bitlen >> 32; + ctx->data[58] = ctx->bitlen >> 40; + ctx->data[57] = ctx->bitlen >> 48; + ctx->data[56] = ctx->bitlen >> 56; + sha256_transform(ctx, ctx->data); + + // Since this implementation uses little endian byte ordering and SHA uses big endian, + // reverse all the bytes when copying the final state to the output hash. + for (i = 0; i < 4; ++i) { + hash[i] = (ctx->state[0] >> (24 - i * 8)) & 0x000000ff; + hash[i + 4] = (ctx->state[1] >> (24 - i * 8)) & 0x000000ff; + hash[i + 8] = (ctx->state[2] >> (24 - i * 8)) & 0x000000ff; + hash[i + 12] = (ctx->state[3] >> (24 - i * 8)) & 0x000000ff; + hash[i + 16] = (ctx->state[4] >> (24 - i * 8)) & 0x000000ff; + hash[i + 20] = (ctx->state[5] >> (24 - i * 8)) & 0x000000ff; + hash[i + 24] = (ctx->state[6] >> (24 - i * 8)) & 0x000000ff; + hash[i + 28] = (ctx->state[7] >> (24 - i * 8)) & 0x000000ff; + } +} diff --git a/lib/crypto-algorithms/sha256.h b/lib/crypto-algorithms/sha256.h new file mode 100644 index 0000000..7123a30 --- /dev/null +++ b/lib/crypto-algorithms/sha256.h @@ -0,0 +1,34 @@ +/********************************************************************* +* Filename: sha256.h +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Defines the API for the corresponding SHA1 implementation. +*********************************************************************/ + +#ifndef SHA256_H +#define SHA256_H + +/*************************** HEADER FILES ***************************/ +#include <stddef.h> + +/****************************** MACROS ******************************/ +#define SHA256_BLOCK_SIZE 32 // SHA256 outputs a 32 byte digest + +/**************************** DATA TYPES ****************************/ +typedef unsigned char BYTE; // 8-bit byte +typedef unsigned int WORD; // 32-bit word, change to "long" for 16-bit machines + +typedef struct { + BYTE data[64]; + WORD datalen; + unsigned long long bitlen; + WORD state[8]; +} SHA256_CTX; + +/*********************** FUNCTION DECLARATIONS **********************/ +void sha256_init(SHA256_CTX *ctx); +void sha256_update(SHA256_CTX *ctx, const BYTE data[], size_t len); +void sha256_final(SHA256_CTX *ctx, BYTE hash[]); + +#endif // SHA256_H diff --git a/lib/crypto-algorithms/sha256_test.c b/lib/crypto-algorithms/sha256_test.c new file mode 100644 index 0000000..6951c51 --- /dev/null +++ b/lib/crypto-algorithms/sha256_test.c @@ -0,0 +1,61 @@ +/********************************************************************* +* Filename: sha256.c +* Author: Brad Conte (brad AT bradconte.com) +* Copyright: +* Disclaimer: This code is presented "as is" without any guarantees. +* Details: Performs known-answer tests on the corresponding SHA1 + implementation. These tests do not encompass the full + range of available test vectors, however, if the tests + pass it is very, very likely that the code is correct + and was compiled properly. This code also serves as + example usage of the functions. +*********************************************************************/ + +/*************************** HEADER FILES ***************************/ +#include <stdio.h> +#include <memory.h> +#include <string.h> +#include "sha256.h" + +/*********************** FUNCTION DEFINITIONS ***********************/ +int sha256_test() +{ + BYTE text1[] = {"abc"}; + BYTE text2[] = {"abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq"}; + BYTE text3[] = {"aaaaaaaaaa"}; + BYTE hash1[SHA256_BLOCK_SIZE] = {0xba,0x78,0x16,0xbf,0x8f,0x01,0xcf,0xea,0x41,0x41,0x40,0xde,0x5d,0xae,0x22,0x23, + 0xb0,0x03,0x61,0xa3,0x96,0x17,0x7a,0x9c,0xb4,0x10,0xff,0x61,0xf2,0x00,0x15,0xad}; + BYTE hash2[SHA256_BLOCK_SIZE] = {0x24,0x8d,0x6a,0x61,0xd2,0x06,0x38,0xb8,0xe5,0xc0,0x26,0x93,0x0c,0x3e,0x60,0x39, + 0xa3,0x3c,0xe4,0x59,0x64,0xff,0x21,0x67,0xf6,0xec,0xed,0xd4,0x19,0xdb,0x06,0xc1}; + BYTE hash3[SHA256_BLOCK_SIZE] = {0xcd,0xc7,0x6e,0x5c,0x99,0x14,0xfb,0x92,0x81,0xa1,0xc7,0xe2,0x84,0xd7,0x3e,0x67, + 0xf1,0x80,0x9a,0x48,0xa4,0x97,0x20,0x0e,0x04,0x6d,0x39,0xcc,0xc7,0x11,0x2c,0xd0}; + BYTE buf[SHA256_BLOCK_SIZE]; + SHA256_CTX ctx; + int idx; + int pass = 1; + + sha256_init(&ctx); + sha256_update(&ctx, text1, strlen(text1)); + sha256_final(&ctx, buf); + pass = pass && !memcmp(hash1, buf, SHA256_BLOCK_SIZE); + + sha256_init(&ctx); + sha256_update(&ctx, text2, strlen(text2)); + sha256_final(&ctx, buf); + pass = pass && !memcmp(hash2, buf, SHA256_BLOCK_SIZE); + + sha256_init(&ctx); + for (idx = 0; idx < 100000; ++idx) + sha256_update(&ctx, text3, strlen(text3)); + sha256_final(&ctx, buf); + pass = pass && !memcmp(hash3, buf, SHA256_BLOCK_SIZE); + + return(pass); +} + +int main() +{ + printf("SHA-256 tests: %s\n", sha256_test() ? "SUCCEEDED" : "FAILEd"); + + return(0); +} diff --git a/lib/curve25519-donna/.gitignore b/lib/curve25519-donna/.gitignore new file mode 100644 index 0000000..ccabede --- /dev/null +++ b/lib/curve25519-donna/.gitignore @@ -0,0 +1,12 @@ +/curve25519-donna-c64.a +/curve25519-donna.a +/test-curve25519-donna +/speed-curve25519-donna +/test-curve25519-donna-c64 +/speed-curve25519-donna-c64 +/test-sc-curve25519-donna-c64 +/build +*.o +*.pyc +/dist +/MANIFEST diff --git a/lib/curve25519-donna/LICENSE.md b/lib/curve25519-donna/LICENSE.md new file mode 100644 index 0000000..33a3240 --- /dev/null +++ b/lib/curve25519-donna/LICENSE.md @@ -0,0 +1,46 @@ +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. diff --git a/lib/curve25519-donna/Makefile b/lib/curve25519-donna/Makefile new file mode 100644 index 0000000..e31fcca --- /dev/null +++ b/lib/curve25519-donna/Makefile @@ -0,0 +1,56 @@ +CFLAGS=-Wmissing-prototypes -Wdeclaration-after-statement -O2 -Wall +CFLAGS_32=-m32 + +targets: curve25519-donna.a curve25519-donna-c64.a + +test: test-donna test-donna-c64 + +clean: + rm -f *.o *.a *.pp test-curve25519-donna test-curve25519-donna-c64 speed-curve25519-donna speed-curve25519-donna-c64 test-noncanon-curve25519-donna test-noncanon-curve25519-donna-c64 + +curve25519-donna.a: curve25519-donna.o + ar -rc curve25519-donna.a curve25519-donna.o + ranlib curve25519-donna.a + +curve25519-donna.o: curve25519-donna.c + gcc -c curve25519-donna.c $(CFLAGS) $(CFLAGS_32) + +curve25519-donna-c64.a: curve25519-donna-c64.o + ar -rc curve25519-donna-c64.a curve25519-donna-c64.o + ranlib curve25519-donna-c64.a + +curve25519-donna-c64.o: curve25519-donna-c64.c + gcc -c curve25519-donna-c64.c $(CFLAGS) + +test-donna: test-curve25519-donna + ./test-curve25519-donna | head -123456 | tail -1 + +test-donna-c64: test-curve25519-donna-c64 + ./test-curve25519-donna-c64 | head -123456 | tail -1 + +test-curve25519-donna: test-curve25519.c curve25519-donna.a + gcc -o test-curve25519-donna test-curve25519.c curve25519-donna.a $(CFLAGS) $(CFLAGS_32) + +test-curve25519-donna-c64: test-curve25519.c curve25519-donna-c64.a + gcc -o test-curve25519-donna-c64 test-curve25519.c curve25519-donna-c64.a $(CFLAGS) + +speed-curve25519-donna: speed-curve25519.c curve25519-donna.a + gcc -o speed-curve25519-donna speed-curve25519.c curve25519-donna.a $(CFLAGS) $(CFLAGS_32) + +speed-curve25519-donna-c64: speed-curve25519.c curve25519-donna-c64.a + gcc -o speed-curve25519-donna-c64 speed-curve25519.c curve25519-donna-c64.a $(CFLAGS) + +test-sc-curve25519-donna-c64: test-sc-curve25519.c curve25519-donna-c64.a + gcc -o test-sc-curve25519-donna-c64 -O test-sc-curve25519.c curve25519-donna-c64.a test-sc-curve25519.s $(CFLAGS) + +test-noncanon-donna: test-noncanon-curve25519-donna + ./test-noncanon-curve25519-donna + +test-noncanon-donna-c64: test-noncanon-curve25519-donna-c64 + ./test-noncanon-curve25519-donna-c64 + +test-noncanon-curve25519-donna: test-noncanon.c curve25519-donna.a + gcc -o test-noncanon-curve25519-donna test-noncanon.c curve25519-donna.a $(CFLAGS) $(CFLAGS_32) + +test-noncanon-curve25519-donna-c64: test-noncanon.c curve25519-donna-c64.a + gcc -o test-noncanon-curve25519-donna-c64 test-noncanon.c curve25519-donna-c64.a $(CFLAGS) diff --git a/lib/curve25519-donna/README b/lib/curve25519-donna/README new file mode 100644 index 0000000..9adf9be --- /dev/null +++ b/lib/curve25519-donna/README @@ -0,0 +1,40 @@ +See http://code.google.com/p/curve25519-donna/ for details. + +BUILDING: + +If you run `make`, two .a archives will be built, similar to djb's curve25519 +code. Alternatively, read on: + +The C implementation is contained within curve25519-donna.c. It has no external +dependancies and is BSD licenced. You can copy/include/link it directly in with +your program. Recommended C flags: -O2 + +The x86-64 bit implementation is contained within curve25519-donna-x86-64.c and +curve25519-donna-x86-64.s. Build like this: + +% cpp curve25519-donna-x86-64.s > curve25519-donna-x86-64.s.pp +% as -o curve25519-donna-x86-64.s.o curve25519-donna-x86-64.s.pp +% gcc -O2 -c curve25519-donna-x86-64.c + +Then the two .o files can be linked in + +USAGE: + +The usage is exactly the same as djb's code (as described at +http://cr.yp.to/ecdh.html) expect that the function is called curve25519_donna. + +In short, + +To generate a private key just generate 32 random bytes. + +To generate the public key, just do: + + static const uint8_t basepoint[32] = {9}; + curve25519_donna(mypublic, mysecret, basepoint); + +To generate an agreed key do: + + uint8_t shared_key[32]; + curve25519_donna(shared_key, mysecret, theirpublic); + +And hash the shared_key with a cryptographic hash function before using. diff --git a/lib/curve25519-donna/contrib/Curve25519Donna.c b/lib/curve25519-donna/contrib/Curve25519Donna.c new file mode 100644 index 0000000..71b816c --- /dev/null +++ b/lib/curve25519-donna/contrib/Curve25519Donna.c @@ -0,0 +1,118 @@ +/* + James Robson + Public domain. +*/ + +#include "Curve25519Donna.h" +#include <stdio.h> +#include <stdlib.h> + +extern void curve25519_donna(unsigned char *output, const unsigned char *a, + const unsigned char *b); + +unsigned char* +as_unsigned_char_array(JNIEnv* env, jbyteArray array, int* len); + +jbyteArray as_byte_array(JNIEnv* env, unsigned char* buf, int len); + + +jbyteArray as_byte_array(JNIEnv* env, unsigned char* buf, int len) { + jbyteArray array = (*env)->NewByteArray(env, len); + (*env)->SetByteArrayRegion(env, array, 0, len, (jbyte*)buf); + + //int i; + //for (i = 0;i < len;++i) printf("%02x",(unsigned int) buf[i]); printf(" "); + //printf("\n"); + + return array; +} + +unsigned char* +as_unsigned_char_array(JNIEnv* env, jbyteArray array, int* len) { + + *len = (*env)->GetArrayLength(env, array); + unsigned char* buf = (unsigned char*)calloc(*len+1, sizeof(char)); + (*env)->GetByteArrayRegion (env, array, 0, *len, (jbyte*)buf); + return buf; + +} + +JNIEXPORT jbyteArray JNICALL Java_Curve25519Donna_curve25519Donna + (JNIEnv *env, jobject obj, jbyteArray a, jbyteArray b) { + + unsigned char o[32] = {0}; + int l1, l2; + unsigned char* a1 = as_unsigned_char_array(env, a, &l1); + unsigned char* b1 = as_unsigned_char_array(env, b, &l2); + + if ( !(l1 == 32 && l2 == 32) ) { + fprintf(stderr, "Error, must be length 32"); + return NULL; + } + + + curve25519_donna(o, (const unsigned char*)a1, (const unsigned char*)b1); + + free(a1); + free(b1); + + return as_byte_array(env, (unsigned char*)o, 32); +} + +JNIEXPORT jbyteArray JNICALL Java_Curve25519Donna_makePrivate + (JNIEnv *env, jobject obj, jbyteArray secret) { + + int len; + unsigned char* k = as_unsigned_char_array(env, secret, &len); + + if (len != 32) { + fprintf(stderr, "Error, must be length 32"); + return NULL; + } + + k[0] &= 248; + k[31] &= 127; + k[31] |= 64; + return as_byte_array(env, k, 32); +} + +JNIEXPORT jbyteArray JNICALL Java_Curve25519Donna_getPublic + (JNIEnv *env, jobject obj, jbyteArray privkey) { + + int len; + unsigned char* private = as_unsigned_char_array(env, privkey, &len); + + if (len != 32) { + fprintf(stderr, "Error, must be length 32"); + return NULL; + } + + unsigned char pubkey[32]; + unsigned char basepoint[32] = {9}; + + curve25519_donna(pubkey, private, basepoint); + return as_byte_array(env, (unsigned char*)pubkey, 32); +} + +JNIEXPORT jbyteArray JNICALL Java_Curve25519Donna_makeSharedSecret + (JNIEnv *env, jobject obj, jbyteArray privkey, jbyteArray their_pubkey) { + + unsigned char shared_secret[32]; + + int l1, l2; + unsigned char* private = as_unsigned_char_array(env, privkey, &l1); + unsigned char* pubkey = as_unsigned_char_array(env, their_pubkey, &l2); + + if ( !(l1 == 32 && l2 == 32) ) { + fprintf(stderr, "Error, must be length 32"); + return NULL; + } + + curve25519_donna(shared_secret, private, pubkey); + return as_byte_array(env, (unsigned char*)shared_secret, 32); +} + +JNIEXPORT void JNICALL Java_Curve25519Donna_helowrld + (JNIEnv *env, jobject obj) { + printf("helowrld\n"); +} diff --git a/lib/curve25519-donna/contrib/Curve25519Donna.h b/lib/curve25519-donna/contrib/Curve25519Donna.h new file mode 100644 index 0000000..3cd4ca0 --- /dev/null +++ b/lib/curve25519-donna/contrib/Curve25519Donna.h @@ -0,0 +1,53 @@ +/* DO NOT EDIT THIS FILE - it is machine generated */ +#include <jni.h> +/* Header for class Curve25519Donna */ + +#ifndef _Included_Curve25519Donna +#define _Included_Curve25519Donna +#ifdef __cplusplus +extern "C" { +#endif +/* + * Class: Curve25519Donna + * Method: curve25519Donna + * Signature: ([B[B)[B + */ +JNIEXPORT jbyteArray JNICALL Java_Curve25519Donna_curve25519Donna + (JNIEnv *, jobject, jbyteArray, jbyteArray); + +/* + * Class: Curve25519Donna + * Method: makePrivate + * Signature: ([B)[B + */ +JNIEXPORT jbyteArray JNICALL Java_Curve25519Donna_makePrivate + (JNIEnv *, jobject, jbyteArray); + +/* + * Class: Curve25519Donna + * Method: getPublic + * Signature: ([B)[B + */ +JNIEXPORT jbyteArray JNICALL Java_Curve25519Donna_getPublic + (JNIEnv *, jobject, jbyteArray); + +/* + * Class: Curve25519Donna + * Method: makeSharedSecret + * Signature: ([B[B)[B + */ +JNIEXPORT jbyteArray JNICALL Java_Curve25519Donna_makeSharedSecret + (JNIEnv *, jobject, jbyteArray, jbyteArray); + +/* + * Class: Curve25519Donna + * Method: helowrld + * Signature: ()V + */ +JNIEXPORT void JNICALL Java_Curve25519Donna_helowrld + (JNIEnv *, jobject); + +#ifdef __cplusplus +} +#endif +#endif diff --git a/lib/curve25519-donna/contrib/Curve25519Donna.java b/lib/curve25519-donna/contrib/Curve25519Donna.java new file mode 100644 index 0000000..e28cb53 --- /dev/null +++ b/lib/curve25519-donna/contrib/Curve25519Donna.java @@ -0,0 +1,77 @@ +/* + James Robson + Public domain. +*/ + +public class Curve25519Donna { + + final protected static char[] hexArray = "0123456789ABCDEF".toCharArray(); + + public static String bytesToHex(byte[] bytes) { + char[] hexChars = new char[bytes.length * 2]; + int v; + for ( int j = 0; j < bytes.length; j++ ) { + v = bytes[j] & 0xFF; + hexChars[j * 2] = hexArray[v >>> 4]; + hexChars[j * 2 + 1] = hexArray[v & 0x0F]; + } + return new String(hexChars); + } + + public native byte[] curve25519Donna(byte[] a, byte[] b); + public native byte[] makePrivate(byte[] secret); + public native byte[] getPublic(byte[] privkey); + public native byte[] makeSharedSecret(byte[] privkey, byte[] theirPubKey); + public native void helowrld(); + + // Uncomment if your Java is 32-bit: + //static { System.loadLibrary("Curve25519Donna"); } + + // Otherwise, load this 64-bit .jnilib: + static { System.loadLibrary("Curve25519Donna_64"); } + + /* + To give the old tires a kick (OSX): + java -cp `pwd` Curve25519Donna + */ + public static void main (String[] args) { + + Curve25519Donna c = new Curve25519Donna(); + + // These should be 32 bytes long + byte[] user1Secret = "abcdefghijklmnopqrstuvwxyz123456".getBytes(); + byte[] user2Secret = "654321zyxwvutsrqponmlkjihgfedcba".getBytes(); + + + // You can use the curve function directly... + + //byte[] o = c.curve25519Donna(a, b); + //System.out.println("o = " + bytesToHex(o)); + + + // ... but it's not really necessary. Just use the following + // convenience methods: + + byte[] privKey = c.makePrivate(user1Secret); + byte[] pubKey = c.getPublic(privKey); + + byte[] privKey2 = c.makePrivate(user2Secret); + byte[] pubKey2 = c.getPublic(privKey2); + + System.out.println("'user1' privKey = " + bytesToHex(privKey)); + System.out.println("'user1' pubKey = " + bytesToHex(pubKey)); + System.out.println("==================================================="); + + System.out.println("'user2' privKey = " + bytesToHex(privKey2)); + System.out.println("'user2' pubKey = " + bytesToHex(pubKey2)); + System.out.println("==================================================="); + + + byte[] ss1 = c.makeSharedSecret(privKey, pubKey2); + System.out.println("'user1' computes shared secret: " + bytesToHex(ss1)); + + byte[] ss2 = c.makeSharedSecret(privKey2, pubKey); + System.out.println("'user2' computes shared secret: " + bytesToHex(ss2)); + + } +} diff --git a/lib/curve25519-donna/contrib/make-snippets b/lib/curve25519-donna/contrib/make-snippets new file mode 100644 index 0000000..4568721 --- /dev/null +++ b/lib/curve25519-donna/contrib/make-snippets @@ -0,0 +1,68 @@ +CFLAGS=-Wmissing-prototypes -Wdeclaration-after-statement -O2 -Wall +CC=clang + + +targets: curve25519-donna.a curve25519-donna-c64.a + +test: test-donna test-donna-c64 + + +clean: + rm -f java-src/*.class java-src/*.jnilib *.dylib *.o *.a *.pp test-curve25519-donna test-curve25519-donna-c64 speed-curve25519-donna speed-curve25519-donna-c64 + +curve25519-donna.a: curve25519-donna.o + ar -rc curve25519-donna.a curve25519-donna.o + ranlib curve25519-donna.a + + +##### OSX dynamic library (32- & 64-bit) + +curve25519donna.dylib: curve25519-donna.a curve25519-donna-c64.a + $(CC) -m32 -fpic -shared -Wl,-all_load curve25519-donna.a -Wl,-all_load -o libcurve25519donna.dylib + $(CC) -fpic -shared -Wl,-all_load curve25519-donna-c64.a -Wl,-all_load -o libcurve25519donna_64.dylib + +##### OSX/Java section hence + +# Java JNI - compiled for OSX (32- & 64-bit) +Curve25519Donna.class: + cd java-src; javah -jni Curve25519Donna; cd .. + cd java-src; javac Curve25519Donna.java; cd .. + +Curve25519Donna.jnilib: curve25519-donna.a curve25519-donna-c64.a Curve25519Donna.class + @echo "Building 32-bit..." + clang -o java-src/libCurve25519Donna.jnilib $(CFLAGS) -lc -shared -m32 -I /System/Library/Frameworks/JavaVM.framework/Headers curve25519-donna.o java-src/Curve25519Donna.c + @echo "Building 64-bit..." + clang -o java-src/libCurve25519Donna_64.jnilib $(CFLAGS) -lc -shared -I /System/Library/Frameworks/JavaVM.framework/Headers curve25519-donna-c64.o java-src/Curve25519Donna.c + +##### OSX/Java section end + +curve25519-donna.o: curve25519-donna.c + $(CC) -c curve25519-donna.c $(CFLAGS) -m32 + +curve25519-donna-c64.a: curve25519-donna-c64.o + ar -rc curve25519-donna-c64.a curve25519-donna-c64.o + ranlib curve25519-donna-c64.a + +curve25519-donna-c64.o: curve25519-donna-c64.c + $(CC) -c curve25519-donna-c64.c $(CFLAGS) + +test-donna: test-curve25519-donna + ./test-curve25519-donna | head -123456 | tail -1 + +test-donna-c64: test-curve25519-donna-c64 + ./test-curve25519-donna-c64 | head -123456 | tail -1 + +test-curve25519-donna: test-curve25519.c curve25519-donna.a + $(CC) -o test-curve25519-donna test-curve25519.c curve25519-donna.a $(CFLAGS) -m32 + +test-curve25519-donna-c64: test-curve25519.c curve25519-donna-c64.a + $(CC) -o test-curve25519-donna-c64 test-curve25519.c curve25519-donna-c64.a $(CFLAGS) + +speed-curve25519-donna: speed-curve25519.c curve25519-donna.a + $(CC) -o speed-curve25519-donna speed-curve25519.c curve25519-donna.a $(CFLAGS) -m32 + +speed-curve25519-donna-c64: speed-curve25519.c curve25519-donna-c64.a + $(CC) -o speed-curve25519-donna-c64 speed-curve25519.c curve25519-donna-c64.a $(CFLAGS) + +test-sc-curve25519-donna-c64: test-sc-curve25519.c curve25519-donna-c64.a + $(CC) -o test-sc-curve25519-donna-c64 -O test-sc-curve25519.c curve25519-donna-c64.a test-sc-curve25519.s $(CFLAGS) diff --git a/lib/curve25519-donna/curve25519-donna-c64.c b/lib/curve25519-donna/curve25519-donna-c64.c new file mode 100644 index 0000000..9ebd8a1 --- /dev/null +++ b/lib/curve25519-donna/curve25519-donna-c64.c @@ -0,0 +1,449 @@ +/* Copyright 2008, Google Inc. + * All rights reserved. + * + * Code released into the public domain. + * + * 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> + +typedef uint8_t u8; +typedef uint64_t limb; +typedef limb felem[5]; +// This is a special gcc mode for 128-bit integers. It's implemented on 64-bit +// platforms only as far as I know. +typedef unsigned uint128_t __attribute__((mode(TI))); + +#undef force_inline +#define force_inline __attribute__((always_inline)) + +/* Sum two numbers: output += in */ +static inline void force_inline +fsum(limb *output, const limb *in) { + output[0] += in[0]; + output[1] += in[1]; + output[2] += in[2]; + output[3] += in[3]; + output[4] += in[4]; +} + +/* Find the difference of two numbers: output = in - output + * (note the order of the arguments!) + * + * Assumes that out[i] < 2**52 + * On return, out[i] < 2**55 + */ +static inline void force_inline +fdifference_backwards(felem out, const felem in) { + /* 152 is 19 << 3 */ + static const limb two54m152 = (((limb)1) << 54) - 152; + static const limb two54m8 = (((limb)1) << 54) - 8; + + out[0] = in[0] + two54m152 - out[0]; + out[1] = in[1] + two54m8 - out[1]; + out[2] = in[2] + two54m8 - out[2]; + out[3] = in[3] + two54m8 - out[3]; + out[4] = in[4] + two54m8 - out[4]; +} + +/* Multiply a number by a scalar: output = in * scalar */ +static inline void force_inline +fscalar_product(felem output, const felem in, const limb scalar) { + uint128_t a; + + a = ((uint128_t) in[0]) * scalar; + output[0] = ((limb)a) & 0x7ffffffffffff; + + a = ((uint128_t) in[1]) * scalar + ((limb) (a >> 51)); + output[1] = ((limb)a) & 0x7ffffffffffff; + + a = ((uint128_t) in[2]) * scalar + ((limb) (a >> 51)); + output[2] = ((limb)a) & 0x7ffffffffffff; + + a = ((uint128_t) in[3]) * scalar + ((limb) (a >> 51)); + output[3] = ((limb)a) & 0x7ffffffffffff; + + a = ((uint128_t) in[4]) * scalar + ((limb) (a >> 51)); + output[4] = ((limb)a) & 0x7ffffffffffff; + + output[0] += (a >> 51) * 19; +} + +/* Multiply two numbers: output = in2 * in + * + * output must be distinct to both inputs. The inputs are reduced coefficient + * form, the output is not. + * + * Assumes that in[i] < 2**55 and likewise for in2. + * On return, output[i] < 2**52 + */ +static inline void force_inline +fmul(felem output, const felem in2, const felem in) { + uint128_t t[5]; + limb r0,r1,r2,r3,r4,s0,s1,s2,s3,s4,c; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + + s0 = in2[0]; + s1 = in2[1]; + s2 = in2[2]; + s3 = in2[3]; + s4 = in2[4]; + + t[0] = ((uint128_t) r0) * s0; + t[1] = ((uint128_t) r0) * s1 + ((uint128_t) r1) * s0; + t[2] = ((uint128_t) r0) * s2 + ((uint128_t) r2) * s0 + ((uint128_t) r1) * s1; + t[3] = ((uint128_t) r0) * s3 + ((uint128_t) r3) * s0 + ((uint128_t) r1) * s2 + ((uint128_t) r2) * s1; + t[4] = ((uint128_t) r0) * s4 + ((uint128_t) r4) * s0 + ((uint128_t) r3) * s1 + ((uint128_t) r1) * s3 + ((uint128_t) r2) * s2; + + r4 *= 19; + r1 *= 19; + r2 *= 19; + r3 *= 19; + + t[0] += ((uint128_t) r4) * s1 + ((uint128_t) r1) * s4 + ((uint128_t) r2) * s3 + ((uint128_t) r3) * s2; + t[1] += ((uint128_t) r4) * s2 + ((uint128_t) r2) * s4 + ((uint128_t) r3) * s3; + t[2] += ((uint128_t) r4) * s3 + ((uint128_t) r3) * s4; + t[3] += ((uint128_t) r4) * s4; + + r0 = (limb)t[0] & 0x7ffffffffffff; c = (limb)(t[0] >> 51); + t[1] += c; r1 = (limb)t[1] & 0x7ffffffffffff; c = (limb)(t[1] >> 51); + t[2] += c; r2 = (limb)t[2] & 0x7ffffffffffff; c = (limb)(t[2] >> 51); + t[3] += c; r3 = (limb)t[3] & 0x7ffffffffffff; c = (limb)(t[3] >> 51); + t[4] += c; r4 = (limb)t[4] & 0x7ffffffffffff; c = (limb)(t[4] >> 51); + r0 += c * 19; c = r0 >> 51; r0 = r0 & 0x7ffffffffffff; + r1 += c; c = r1 >> 51; r1 = r1 & 0x7ffffffffffff; + r2 += c; + + output[0] = r0; + output[1] = r1; + output[2] = r2; + output[3] = r3; + output[4] = r4; +} + +static inline void force_inline +fsquare_times(felem output, const felem in, limb count) { + uint128_t t[5]; + limb r0,r1,r2,r3,r4,c; + limb d0,d1,d2,d4,d419; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + + do { + d0 = r0 * 2; + d1 = r1 * 2; + d2 = r2 * 2 * 19; + d419 = r4 * 19; + d4 = d419 * 2; + + t[0] = ((uint128_t) r0) * r0 + ((uint128_t) d4) * r1 + (((uint128_t) d2) * (r3 )); + t[1] = ((uint128_t) d0) * r1 + ((uint128_t) d4) * r2 + (((uint128_t) r3) * (r3 * 19)); + t[2] = ((uint128_t) d0) * r2 + ((uint128_t) r1) * r1 + (((uint128_t) d4) * (r3 )); + t[3] = ((uint128_t) d0) * r3 + ((uint128_t) d1) * r2 + (((uint128_t) r4) * (d419 )); + t[4] = ((uint128_t) d0) * r4 + ((uint128_t) d1) * r3 + (((uint128_t) r2) * (r2 )); + + r0 = (limb)t[0] & 0x7ffffffffffff; c = (limb)(t[0] >> 51); + t[1] += c; r1 = (limb)t[1] & 0x7ffffffffffff; c = (limb)(t[1] >> 51); + t[2] += c; r2 = (limb)t[2] & 0x7ffffffffffff; c = (limb)(t[2] >> 51); + t[3] += c; r3 = (limb)t[3] & 0x7ffffffffffff; c = (limb)(t[3] >> 51); + t[4] += c; r4 = (limb)t[4] & 0x7ffffffffffff; c = (limb)(t[4] >> 51); + r0 += c * 19; c = r0 >> 51; r0 = r0 & 0x7ffffffffffff; + r1 += c; c = r1 >> 51; r1 = r1 & 0x7ffffffffffff; + r2 += c; + } while(--count); + + output[0] = r0; + output[1] = r1; + output[2] = r2; + output[3] = r3; + output[4] = r4; +} + +/* Load a little-endian 64-bit number */ +static limb +load_limb(const u8 *in) { + return + ((limb)in[0]) | + (((limb)in[1]) << 8) | + (((limb)in[2]) << 16) | + (((limb)in[3]) << 24) | + (((limb)in[4]) << 32) | + (((limb)in[5]) << 40) | + (((limb)in[6]) << 48) | + (((limb)in[7]) << 56); +} + +static void +store_limb(u8 *out, limb in) { + out[0] = in & 0xff; + out[1] = (in >> 8) & 0xff; + out[2] = (in >> 16) & 0xff; + out[3] = (in >> 24) & 0xff; + out[4] = (in >> 32) & 0xff; + out[5] = (in >> 40) & 0xff; + out[6] = (in >> 48) & 0xff; + out[7] = (in >> 56) & 0xff; +} + +/* Take a little-endian, 32-byte number and expand it into polynomial form */ +static void +fexpand(limb *output, const u8 *in) { + output[0] = load_limb(in) & 0x7ffffffffffff; + output[1] = (load_limb(in+6) >> 3) & 0x7ffffffffffff; + output[2] = (load_limb(in+12) >> 6) & 0x7ffffffffffff; + output[3] = (load_limb(in+19) >> 1) & 0x7ffffffffffff; + output[4] = (load_limb(in+24) >> 12) & 0x7ffffffffffff; +} + +/* Take a fully reduced polynomial form number and contract it into a + * little-endian, 32-byte array + */ +static void +fcontract(u8 *output, const felem input) { + uint128_t t[5]; + + t[0] = input[0]; + t[1] = input[1]; + t[2] = input[2]; + t[3] = input[3]; + t[4] = input[4]; + + t[1] += t[0] >> 51; t[0] &= 0x7ffffffffffff; + t[2] += t[1] >> 51; t[1] &= 0x7ffffffffffff; + t[3] += t[2] >> 51; t[2] &= 0x7ffffffffffff; + t[4] += t[3] >> 51; t[3] &= 0x7ffffffffffff; + t[0] += 19 * (t[4] >> 51); t[4] &= 0x7ffffffffffff; + + t[1] += t[0] >> 51; t[0] &= 0x7ffffffffffff; + t[2] += t[1] >> 51; t[1] &= 0x7ffffffffffff; + t[3] += t[2] >> 51; t[2] &= 0x7ffffffffffff; + t[4] += t[3] >> 51; t[3] &= 0x7ffffffffffff; + t[0] += 19 * (t[4] >> 51); t[4] &= 0x7ffffffffffff; + + /* now t is between 0 and 2^255-1, properly carried. */ + /* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */ + + t[0] += 19; + + t[1] += t[0] >> 51; t[0] &= 0x7ffffffffffff; + t[2] += t[1] >> 51; t[1] &= 0x7ffffffffffff; + t[3] += t[2] >> 51; t[2] &= 0x7ffffffffffff; + t[4] += t[3] >> 51; t[3] &= 0x7ffffffffffff; + t[0] += 19 * (t[4] >> 51); t[4] &= 0x7ffffffffffff; + + /* now between 19 and 2^255-1 in both cases, and offset by 19. */ + + t[0] += 0x8000000000000 - 19; + t[1] += 0x8000000000000 - 1; + t[2] += 0x8000000000000 - 1; + t[3] += 0x8000000000000 - 1; + t[4] += 0x8000000000000 - 1; + + /* now between 2^255 and 2^256-20, and offset by 2^255. */ + + t[1] += t[0] >> 51; t[0] &= 0x7ffffffffffff; + t[2] += t[1] >> 51; t[1] &= 0x7ffffffffffff; + t[3] += t[2] >> 51; t[2] &= 0x7ffffffffffff; + t[4] += t[3] >> 51; t[3] &= 0x7ffffffffffff; + t[4] &= 0x7ffffffffffff; + + store_limb(output, t[0] | (t[1] << 51)); + store_limb(output+8, (t[1] >> 13) | (t[2] << 38)); + store_limb(output+16, (t[2] >> 26) | (t[3] << 25)); + store_limb(output+24, (t[3] >> 39) | (t[4] << 12)); +} + +/* Input: Q, Q', Q-Q' + * Output: 2Q, Q+Q' + * + * x2 z3: long form + * x3 z3: long form + * x z: short form, destroyed + * xprime zprime: short form, destroyed + * qmqp: short form, preserved + */ +static void +fmonty(limb *x2, limb *z2, /* output 2Q */ + limb *x3, limb *z3, /* output Q + Q' */ + limb *x, limb *z, /* input Q */ + limb *xprime, limb *zprime, /* input Q' */ + const limb *qmqp /* input Q - Q' */) { + limb origx[5], origxprime[5], zzz[5], xx[5], zz[5], xxprime[5], + zzprime[5], zzzprime[5]; + + memcpy(origx, x, 5 * sizeof(limb)); + fsum(x, z); + fdifference_backwards(z, origx); // does x - z + + memcpy(origxprime, xprime, sizeof(limb) * 5); + fsum(xprime, zprime); + fdifference_backwards(zprime, origxprime); + fmul(xxprime, xprime, z); + fmul(zzprime, x, zprime); + memcpy(origxprime, xxprime, sizeof(limb) * 5); + fsum(xxprime, zzprime); + fdifference_backwards(zzprime, origxprime); + fsquare_times(x3, xxprime, 1); + fsquare_times(zzzprime, zzprime, 1); + fmul(z3, zzzprime, qmqp); + + fsquare_times(xx, x, 1); + fsquare_times(zz, z, 1); + fmul(x2, xx, zz); + fdifference_backwards(zz, xx); // does zz = xx - zz + fscalar_product(zzz, zz, 121665); + fsum(zzz, xx); + fmul(z2, zz, zzz); +} + +// ----------------------------------------------------------------------------- +// Maybe swap the contents of two limb arrays (@a and @b), each @len elements +// long. Perform the swap iff @swap is non-zero. +// +// This function performs the swap without leaking any side-channel +// information. +// ----------------------------------------------------------------------------- +static void +swap_conditional(limb a[5], limb b[5], limb iswap) { + unsigned i; + const limb swap = -iswap; + + for (i = 0; i < 5; ++i) { + const limb x = swap & (a[i] ^ b[i]); + a[i] ^= x; + 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[5] = {0}, b[5] = {1}, c[5] = {1}, d[5] = {0}; + limb *nqpqx = a, *nqpqz = b, *nqx = c, *nqz = d, *t; + limb e[5] = {0}, f[5] = {1}, g[5] = {0}, h[5] = {1}; + limb *nqpqx2 = e, *nqpqz2 = f, *nqx2 = g, *nqz2 = h; + + unsigned i, j; + + memcpy(nqpqx, q, sizeof(limb) * 5); + + 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) * 5); + memcpy(resultz, nqz, sizeof(limb) * 5); +} + + +// ----------------------------------------------------------------------------- +// Shamelessly copied from djb's code, tightened a little +// ----------------------------------------------------------------------------- +static void +crecip(felem out, const felem z) { + felem a,t0,b,c; + + /* 2 */ fsquare_times(a, z, 1); // a = 2 + /* 8 */ fsquare_times(t0, a, 2); + /* 9 */ fmul(b, t0, z); // b = 9 + /* 11 */ fmul(a, b, a); // a = 11 + /* 22 */ fsquare_times(t0, a, 1); + /* 2^5 - 2^0 = 31 */ fmul(b, t0, b); + /* 2^10 - 2^5 */ fsquare_times(t0, b, 5); + /* 2^10 - 2^0 */ fmul(b, t0, b); + /* 2^20 - 2^10 */ fsquare_times(t0, b, 10); + /* 2^20 - 2^0 */ fmul(c, t0, b); + /* 2^40 - 2^20 */ fsquare_times(t0, c, 20); + /* 2^40 - 2^0 */ fmul(t0, t0, c); + /* 2^50 - 2^10 */ fsquare_times(t0, t0, 10); + /* 2^50 - 2^0 */ fmul(b, t0, b); + /* 2^100 - 2^50 */ fsquare_times(t0, b, 50); + /* 2^100 - 2^0 */ fmul(c, t0, b); + /* 2^200 - 2^100 */ fsquare_times(t0, c, 100); + /* 2^200 - 2^0 */ fmul(t0, t0, c); + /* 2^250 - 2^50 */ fsquare_times(t0, t0, 50); + /* 2^250 - 2^0 */ fmul(t0, t0, b); + /* 2^255 - 2^5 */ fsquare_times(t0, t0, 5); + /* 2^255 - 21 */ fmul(out, t0, a); +} + +int curve25519_donna(u8 *, const u8 *, const u8 *); + +int +curve25519_donna(u8 *mypublic, const u8 *secret, const u8 *basepoint) { + limb bp[5], x[5], z[5], zmone[5]; + 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/lib/curve25519-donna/curve25519-donna.c b/lib/curve25519-donna/curve25519-donna.c new file mode 100644 index 0000000..ed15d6c --- /dev/null +++ b/lib/curve25519-donna/curve25519-donna.c @@ -0,0 +1,860 @@ +/* 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; +} + +/* 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/lib/curve25519-donna/curve25519-donna.podspec b/lib/curve25519-donna/curve25519-donna.podspec new file mode 100644 index 0000000..0f2f31a --- /dev/null +++ b/lib/curve25519-donna/curve25519-donna.podspec @@ -0,0 +1,13 @@ +Pod::Spec.new do |s| + s.name = "curve25519-donna" + s.version = "1.2.1" + s.summary = "Implementations of a fast elliptic-curve, Diffie-Hellman primitive" + s.description = <<-DESC + Curve25519 is a state-of-the-art Diffie-Hellman function suitable for a wide variety of applications. + DESC + s.homepage = "http://code.google.com/p/curve25519-donna" + s.license = 'BSD 3-Clause' + s.author = 'Dan Bernstein' + s.source = { :git => "https://github.com/agl/curve25519-donna.git", :tag => "1.2.1" } + s.source_files = 'curve25519-donna.c' +end diff --git a/lib/curve25519-donna/python-src/curve25519/__init__.py b/lib/curve25519-donna/python-src/curve25519/__init__.py new file mode 100644 index 0000000..873ff57 --- /dev/null +++ b/lib/curve25519-donna/python-src/curve25519/__init__.py @@ -0,0 +1,4 @@ + +from .keys import Private, Public + +hush_pyflakes = [Private, Public]; del hush_pyflakes diff --git a/lib/curve25519-donna/python-src/curve25519/curve25519module.c b/lib/curve25519-donna/python-src/curve25519/curve25519module.c new file mode 100644 index 0000000..e309ec0 --- /dev/null +++ b/lib/curve25519-donna/python-src/curve25519/curve25519module.c @@ -0,0 +1,105 @@ +/* tell python that PyArg_ParseTuple(t#) means Py_ssize_t, not int */ +#define PY_SSIZE_T_CLEAN +#include <Python.h> +#if (PY_VERSION_HEX < 0x02050000) + typedef int Py_ssize_t; +#endif + +/* This is required for compatibility with Python 2. */ +#if PY_MAJOR_VERSION >= 3 + #include <bytesobject.h> + #define y "y" +#else + #define PyBytes_FromStringAndSize PyString_FromStringAndSize + #define y "t" +#endif + +int curve25519_donna(char *mypublic, + const char *secret, const char *basepoint); + +static PyObject * +pycurve25519_makeprivate(PyObject *self, PyObject *args) +{ + char *in1; + Py_ssize_t in1len; + if (!PyArg_ParseTuple(args, y"#:clamp", &in1, &in1len)) + return NULL; + if (in1len != 32) { + PyErr_SetString(PyExc_ValueError, "input must be 32-byte string"); + return NULL; + } + in1[0] &= 248; + in1[31] &= 127; + in1[31] |= 64; + return PyBytes_FromStringAndSize((char *)in1, 32); +} + +static PyObject * +pycurve25519_makepublic(PyObject *self, PyObject *args) +{ + const char *private; + char mypublic[32]; + char basepoint[32] = {9}; + Py_ssize_t privatelen; + if (!PyArg_ParseTuple(args, y"#:makepublic", &private, &privatelen)) + return NULL; + if (privatelen != 32) { + PyErr_SetString(PyExc_ValueError, "input must be 32-byte string"); + return NULL; + } + curve25519_donna(mypublic, private, basepoint); + return PyBytes_FromStringAndSize((char *)mypublic, 32); +} + +static PyObject * +pycurve25519_makeshared(PyObject *self, PyObject *args) +{ + const char *myprivate, *theirpublic; + char shared_key[32]; + Py_ssize_t myprivatelen, theirpubliclen; + if (!PyArg_ParseTuple(args, y"#"y"#:generate", + &myprivate, &myprivatelen, &theirpublic, &theirpubliclen)) + return NULL; + if (myprivatelen != 32) { + PyErr_SetString(PyExc_ValueError, "input must be 32-byte string"); + return NULL; + } + if (theirpubliclen != 32) { + PyErr_SetString(PyExc_ValueError, "input must be 32-byte string"); + return NULL; + } + curve25519_donna(shared_key, myprivate, theirpublic); + return PyBytes_FromStringAndSize((char *)shared_key, 32); +} + + +static PyMethodDef +curve25519_functions[] = { + {"make_private", pycurve25519_makeprivate, METH_VARARGS, "data->private"}, + {"make_public", pycurve25519_makepublic, METH_VARARGS, "private->public"}, + {"make_shared", pycurve25519_makeshared, METH_VARARGS, "private+public->shared"}, + {NULL, NULL, 0, NULL}, +}; + +#if PY_MAJOR_VERSION >= 3 + static struct PyModuleDef + curve25519_module = { + PyModuleDef_HEAD_INIT, + "_curve25519", + NULL, + NULL, + curve25519_functions, + }; + + PyObject * + PyInit__curve25519(void) + { + return PyModule_Create(&curve25519_module); + } +#else + PyMODINIT_FUNC + init_curve25519(void) + { + (void)Py_InitModule("_curve25519", curve25519_functions); + } +#endif
\ No newline at end of file diff --git a/lib/curve25519-donna/python-src/curve25519/keys.py b/lib/curve25519-donna/python-src/curve25519/keys.py new file mode 100644 index 0000000..e131dac --- /dev/null +++ b/lib/curve25519-donna/python-src/curve25519/keys.py @@ -0,0 +1,46 @@ +from . import _curve25519 +from hashlib import sha256 +import os + +# the curve25519 functions are really simple, and could be used without an +# OOP layer, but it's a bit too easy to accidentally swap the private and +# public keys that way. + +def _hash_shared(shared): + return sha256(b"curve25519-shared:"+shared).digest() + +class Private: + def __init__(self, secret=None, seed=None): + if secret is None: + if seed is None: + secret = os.urandom(32) + else: + secret = sha256(b"curve25519-private:"+seed).digest() + else: + assert seed is None, "provide secret, seed, or neither, not both" + if not isinstance(secret, bytes) or len(secret) != 32: + raise TypeError("secret= must be 32-byte string") + self.private = _curve25519.make_private(secret) + + def serialize(self): + return self.private + + def get_public(self): + return Public(_curve25519.make_public(self.private)) + + def get_shared_key(self, public, hashfunc=None): + if not isinstance(public, Public): + raise ValueError("'public' must be an instance of Public") + if hashfunc is None: + hashfunc = _hash_shared + shared = _curve25519.make_shared(self.private, public.public) + return hashfunc(shared) + +class Public: + def __init__(self, public): + assert isinstance(public, bytes) + assert len(public) == 32 + self.public = public + + def serialize(self): + return self.public diff --git a/lib/curve25519-donna/python-src/curve25519/test/__init__.py b/lib/curve25519-donna/python-src/curve25519/test/__init__.py new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/lib/curve25519-donna/python-src/curve25519/test/__init__.py diff --git a/lib/curve25519-donna/python-src/curve25519/test/test_curve25519.py b/lib/curve25519-donna/python-src/curve25519/test/test_curve25519.py new file mode 100755 index 0000000..2ecbd47 --- /dev/null +++ b/lib/curve25519-donna/python-src/curve25519/test/test_curve25519.py @@ -0,0 +1,99 @@ +#! /usr/bin/python + +import unittest + +from curve25519 import Private, Public +from hashlib import sha1, sha256 +from binascii import hexlify + +class Basic(unittest.TestCase): + def test_basic(self): + secret1 = b"abcdefghijklmnopqrstuvwxyz123456" + self.assertEqual(len(secret1), 32) + + secret2 = b"654321zyxwvutsrqponmlkjihgfedcba" + self.assertEqual(len(secret2), 32) + priv1 = Private(secret=secret1) + pub1 = priv1.get_public() + priv2 = Private(secret=secret2) + pub2 = priv2.get_public() + shared12 = priv1.get_shared_key(pub2) + e = b"b0818125eab42a8ac1af5e8b9b9c15ed2605c2bbe9675de89e5e6e7f442b9598" + self.assertEqual(hexlify(shared12), e) + shared21 = priv2.get_shared_key(pub1) + self.assertEqual(shared12, shared21) + + pub2a = Public(pub2.serialize()) + shared12a = priv1.get_shared_key(pub2a) + self.assertEqual(hexlify(shared12a), e) + + def test_errors(self): + priv1 = Private() + self.assertRaises(ValueError, priv1.get_shared_key, priv1) + + def test_seed(self): + # use 32-byte secret + self.assertRaises(TypeError, Private, secret=123) + self.assertRaises(TypeError, Private, secret=b"too short") + secret1 = b"abcdefghijklmnopqrstuvwxyz123456" + assert len(secret1) == 32 + priv1 = Private(secret=secret1) + priv1a = Private(secret=secret1) + priv1b = Private(priv1.serialize()) + self.assertEqual(priv1.serialize(), priv1a.serialize()) + self.assertEqual(priv1.serialize(), priv1b.serialize()) + e = b"6062636465666768696a6b6c6d6e6f707172737475767778797a313233343576" + self.assertEqual(hexlify(priv1.serialize()), e) + + # the private key is a clamped form of the secret, so they won't + # quite be the same + p = Private(secret=b"\x00"*32) + self.assertEqual(hexlify(p.serialize()), b"00"*31+b"40") + p = Private(secret=b"\xff"*32) + self.assertEqual(hexlify(p.serialize()), b"f8"+b"ff"*30+b"7f") + + # use arbitrary-length seed + self.assertRaises(TypeError, Private, seed=123) + priv1 = Private(seed=b"abc") + priv1a = Private(seed=b"abc") + priv1b = Private(priv1.serialize()) + self.assertEqual(priv1.serialize(), priv1a.serialize()) + self.assertEqual(priv1.serialize(), priv1b.serialize()) + self.assertRaises(AssertionError, Private, seed=b"abc", secret=b"no") + + priv1 = Private(seed=b"abc") + priv1a = Private(priv1.serialize()) + self.assertEqual(priv1.serialize(), priv1a.serialize()) + self.assertRaises(AssertionError, Private, seed=b"abc", secret=b"no") + + # use built-in os.urandom + priv2 = Private() + priv2a = Private(priv2.private) + self.assertEqual(priv2.serialize(), priv2a.serialize()) + + # attempt to use both secret= and seed=, not allowed + self.assertRaises(AssertionError, Private, seed=b"abc", secret=b"no") + + def test_hashfunc(self): + priv1 = Private(seed=b"abc") + priv2 = Private(seed=b"def") + shared_sha256 = priv1.get_shared_key(priv2.get_public()) + e = b"da959ffe77ebeb4757fe5ba310e28ede425ae0d0ff5ec9c884e2d08f311cf5e5" + self.assertEqual(hexlify(shared_sha256), e) + + # confirm the hash function remains what we think it is + def myhash(shared_key): + return sha256(b"curve25519-shared:"+shared_key).digest() + shared_myhash = priv1.get_shared_key(priv2.get_public(), myhash) + self.assertEqual(hexlify(shared_myhash), e) + + def hexhash(shared_key): + return sha1(shared_key).hexdigest().encode() + shared_hexhash = priv1.get_shared_key(priv2.get_public(), hexhash) + self.assertEqual(shared_hexhash, + b"80eec98222c8edc4324fb9477a3c775ce7c6c93a") + + +if __name__ == "__main__": + unittest.main() + diff --git a/lib/curve25519-donna/python-src/curve25519/test/test_speed.py b/lib/curve25519-donna/python-src/curve25519/test/test_speed.py new file mode 100755 index 0000000..87952fa --- /dev/null +++ b/lib/curve25519-donna/python-src/curve25519/test/test_speed.py @@ -0,0 +1,46 @@ +#! /usr/bin/python + +from time import time +from curve25519 import Private + +count = 10000 +elapsed_get_public = 0.0 +elapsed_get_shared = 0.0 + +def abbreviate_time(data): + # 1.23s, 790ms, 132us + if data is None: + return "" + s = float(data) + if s >= 10: + #return abbreviate.abbreviate_time(data) + return "%d" % s + if s >= 1.0: + return "%.2fs" % s + if s >= 0.01: + return "%dms" % (1000*s) + if s >= 0.001: + return "%.1fms" % (1000*s) + if s >= 0.000001: + return "%.1fus" % (1000000*s) + return "%dns" % (1000000000*s) + +def nohash(key): return key + +for i in range(count): + p = Private() + start = time() + pub = p.get_public() + elapsed_get_public += time() - start + pub2 = Private().get_public() + start = time() + shared = p.get_shared_key(pub2) #, hashfunc=nohash) + elapsed_get_shared += time() - start + +print("get_public: %s" % abbreviate_time(elapsed_get_public / count)) +print("get_shared: %s" % abbreviate_time(elapsed_get_shared / count)) + +# these take about 560us-570us each (with the default compiler settings, -Os) +# on my laptop, same with -O2 +# of which the python overhead is about 5us +# and the get_shared_key() hash step adds about 5us diff --git a/lib/curve25519-donna/setup.py b/lib/curve25519-donna/setup.py new file mode 100755 index 0000000..dc1b8eb --- /dev/null +++ b/lib/curve25519-donna/setup.py @@ -0,0 +1,38 @@ +#! /usr/bin/python + +from subprocess import Popen, PIPE +from distutils.core import setup, Extension + +version = Popen(["git", "describe", "--tags"], stdout=PIPE).communicate()[0]\ + .strip().decode("utf8") + +ext_modules = [Extension("curve25519._curve25519", + ["python-src/curve25519/curve25519module.c", + "curve25519-donna.c"], + )] + +short_description="Python wrapper for the Curve25519 cryptographic library" +long_description="""\ +Curve25519 is a fast elliptic-curve key-agreement protocol, in which two +parties Alice and Bob each generate a (public,private) keypair, exchange +public keys, and can then compute the same shared key. Specifically, Alice +computes F(Aprivate, Bpublic), Bob computes F(Bprivate, Apublic), and both +get the same value (and nobody else can guess that shared value, even if they +know Apublic and Bpublic). + +This is a Python wrapper for the portable 'curve25519-donna' implementation +of this algorithm, written by Adam Langley, hosted at +http://code.google.com/p/curve25519-donna/ +""" + +setup(name="curve25519-donna", + version=version, + description=short_description, + long_description=long_description, + author="Brian Warner", + author_email="warner-pycurve25519-donna@lothar.com", + license="BSD", + packages=["curve25519", "curve25519.test"], + package_dir={"curve25519": "python-src/curve25519"}, + ext_modules=ext_modules, + ) diff --git a/lib/curve25519-donna/speed-curve25519.c b/lib/curve25519-donna/speed-curve25519.c new file mode 100644 index 0000000..d945d48 --- /dev/null +++ b/lib/curve25519-donna/speed-curve25519.c @@ -0,0 +1,50 @@ +#include <stdio.h> +#include <string.h> +#include <sys/time.h> +#include <time.h> +#include <stdint.h> + +typedef uint8_t u8; + +extern void curve25519_donna(u8 *output, const u8 *secret, const u8 *bp); + +static uint64_t +time_now() { + struct timeval tv; + uint64_t ret; + + gettimeofday(&tv, NULL); + ret = tv.tv_sec; + ret *= 1000000; + ret += tv.tv_usec; + + return ret; +} + +int +main() { + static const unsigned char basepoint[32] = {9}; + unsigned char mysecret[32], mypublic[32]; + unsigned i; + uint64_t start, end; + + memset(mysecret, 42, 32); + mysecret[0] &= 248; + mysecret[31] &= 127; + mysecret[31] |= 64; + + // Load the caches + for (i = 0; i < 1000; ++i) { + curve25519_donna(mypublic, mysecret, basepoint); + } + + start = time_now(); + for (i = 0; i < 30000; ++i) { + curve25519_donna(mypublic, mysecret, basepoint); + } + end = time_now(); + + printf("%luus\n", (unsigned long) ((end - start) / 30000)); + + return 0; +} diff --git a/lib/curve25519-donna/test-curve25519.c b/lib/curve25519-donna/test-curve25519.c new file mode 100644 index 0000000..591d871 --- /dev/null +++ b/lib/curve25519-donna/test-curve25519.c @@ -0,0 +1,54 @@ +/* +test-curve25519 version 20050915 +D. J. Bernstein +Public domain. + +Tiny modifications by agl +*/ + +#include <stdio.h> + +extern void curve25519_donna(unsigned char *output, const unsigned char *a, + const unsigned char *b); +void doit(unsigned char *ek,unsigned char *e,unsigned char *k); + +void doit(unsigned char *ek,unsigned char *e,unsigned char *k) +{ + int i; + + for (i = 0;i < 32;++i) printf("%02x",(unsigned int) e[i]); printf(" "); + for (i = 0;i < 32;++i) printf("%02x",(unsigned int) k[i]); printf(" "); + curve25519_donna(ek,e,k); + for (i = 0;i < 32;++i) printf("%02x",(unsigned int) ek[i]); printf("\n"); +} + +unsigned char e1k[32]; +unsigned char e2k[32]; +unsigned char e1e2k[32]; +unsigned char e2e1k[32]; +unsigned char e1[32] = {3}; +unsigned char e2[32] = {5}; +unsigned char k[32] = {9}; + +int +main() +{ + int loop; + int i; + + for (loop = 0;loop < 10000;++loop) { + doit(e1k,e1,k); + doit(e2e1k,e2,e1k); + doit(e2k,e2,k); + doit(e1e2k,e1,e2k); + for (i = 0;i < 32;++i) if (e1e2k[i] != e2e1k[i]) { + printf("fail\n"); + return 1; + } + for (i = 0;i < 32;++i) e1[i] ^= e2k[i]; + for (i = 0;i < 32;++i) e2[i] ^= e1k[i]; + for (i = 0;i < 32;++i) k[i] ^= e1e2k[i]; + } + + return 0; +} diff --git a/lib/curve25519-donna/test-noncanon.c b/lib/curve25519-donna/test-noncanon.c new file mode 100644 index 0000000..6de4e8d --- /dev/null +++ b/lib/curve25519-donna/test-noncanon.c @@ -0,0 +1,39 @@ +/* This file can be used to test whether the code handles non-canonical curve + * points (i.e. points with the 256th bit set) in the same way as the reference + * implementation. */ + +#include <stdint.h> +#include <stdio.h> +#include <string.h> + +extern void curve25519_donna(unsigned char *output, const unsigned char *a, + const unsigned char *b); +int +main() +{ + static const uint8_t point1[32] = { + 0x25,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + }; + static const uint8_t point2[32] = { + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + }; + static const uint8_t scalar[32] = { 1 }; + uint8_t out1[32], out2[32]; + + curve25519_donna(out1, scalar, point1); + curve25519_donna(out2, scalar, point2); + + if (0 == memcmp(out1, out2, sizeof(out1))) { + fprintf(stderr, "Top bit not ignored.\n"); + return 1; + } + + fprintf(stderr, "Top bit correctly ignored.\n"); + return 0; +} diff --git a/lib/curve25519-donna/test-sc-curve25519.c b/lib/curve25519-donna/test-sc-curve25519.c new file mode 100644 index 0000000..14a7e3c --- /dev/null +++ b/lib/curve25519-donna/test-sc-curve25519.c @@ -0,0 +1,72 @@ +#define _GNU_SOURCE + +#include <stdio.h> +#include <string.h> +#include <stdint.h> +#include <math.h> + +extern void curve25519_donna(uint8_t *, const uint8_t *, const uint8_t *); +extern uint64_t tsc_read(); + +int +main(int argc, char **argv) { + uint8_t private_key[32], public[32], peer1[32], peer2[32], output[32]; + static const uint8_t basepoint[32] = {9}; + unsigned i; + uint64_t sum = 0, sum_squares = 0, skipped = 0, mean; + static const unsigned count = 200000; + + memset(private_key, 42, sizeof(private_key)); + + private_key[0] &= 248; + private_key[31] &= 127; + private_key[31] |= 64; + + curve25519_donna(public, private_key, basepoint); + memset(peer1, 0, sizeof(peer1)); + memset(peer2, 255, sizeof(peer2)); + + for (i = 0; i < count; ++i) { + const uint64_t start = tsc_read(); + curve25519_donna(output, peer1, public); + const uint64_t end = tsc_read(); + const uint64_t delta = end - start; + if (delta > 650000) { + // something terrible happened (task switch etc) + skipped++; + continue; + } + sum += delta; + sum_squares += (delta * delta); + } + + mean = sum / ((uint64_t) count); + printf("all 0: mean:%lu sd:%f skipped:%lu\n", + mean, + sqrt((double)(sum_squares/((uint64_t) count) - mean*mean)), + skipped); + + sum = sum_squares = skipped = 0; + + for (i = 0; i < count; ++i) { + const uint64_t start = tsc_read(); + curve25519_donna(output, peer2, public); + const uint64_t end = tsc_read(); + const uint64_t delta = end - start; + if (delta > 650000) { + // something terrible happened (task switch etc) + skipped++; + continue; + } + sum += delta; + sum_squares += (delta * delta); + } + + mean = sum / ((uint64_t) count); + printf("all 1: mean:%lu sd:%f skipped:%lu\n", + mean, + sqrt((double)(sum_squares/((uint64_t) count) - mean*mean)), + skipped); + + return 0; +} diff --git a/lib/curve25519-donna/test-sc-curve25519.s b/lib/curve25519-donna/test-sc-curve25519.s new file mode 100644 index 0000000..1da4f68 --- /dev/null +++ b/lib/curve25519-donna/test-sc-curve25519.s @@ -0,0 +1,8 @@ +.text +.globl tsc_read + +tsc_read: +rdtsc +shl $32,%rdx +or %rdx,%rax +ret diff --git a/lib/ed25519/ed25519_32.dll b/lib/ed25519/ed25519_32.dll Binary files differnew file mode 100644 index 0000000..ac15a95 --- /dev/null +++ b/lib/ed25519/ed25519_32.dll diff --git a/lib/ed25519/ed25519_64.dll b/lib/ed25519/ed25519_64.dll Binary files differnew file mode 100644 index 0000000..f50647c --- /dev/null +++ b/lib/ed25519/ed25519_64.dll diff --git a/lib/ed25519/readme.md b/lib/ed25519/readme.md new file mode 100644 index 0000000..676a631 --- /dev/null +++ b/lib/ed25519/readme.md @@ -0,0 +1,166 @@ +Ed25519 +======= + +This is a portable implementation of [Ed25519](http://ed25519.cr.yp.to/) based +on the SUPERCOP "ref10" implementation. Additionally there is key exchanging +and scalar addition included to further aid building a PKI using Ed25519. All +code is in the public domain. + +All code is pure ANSI C without any dependencies, except for the random seed +generation which uses standard OS cryptography APIs (`CryptGenRandom` on +Windows, `/dev/urandom` on nix). If you wish to be entirely portable define +`ED25519_NO_SEED`. This disables the `ed25519_create_seed` function, so if your +application requires key generation you must supply your own seeding function +(which is simply a 256 bit (32 byte) cryptographic random number generator). + + +Performance +----------- + +On a Windows machine with an Intel Pentium B970 @ 2.3GHz I got the following +speeds (running on only one a single core): + + Seed generation: 64us (15625 per second) + Key generation: 88us (11364 per second) + Message signing (short message): 87us (11494 per second) + Message verifying (short message): 228us (4386 per second) + Scalar addition: 100us (10000 per second) + Key exchange: 220us (4545 per second) + +The speeds on other machines may vary. Sign/verify times will be higher with +longer messages. The implementation significantly benefits from 64 bit +architectures, if possible compile as 64 bit. + + +Usage +----- + +Simply add all .c and .h files in the `src/` folder to your project and include +`ed25519.h` in any file you want to use the API. If you prefer to use a shared +library, only copy `ed25519.h` and define `ED25519_DLL` before importing. A +windows DLL is pre-built. + +There are no defined types for seeds, private keys, public keys, shared secrets +or signatures. Instead simple `unsigned char` buffers are used with the +following sizes: + +```c +unsigned char seed[32]; +unsigned char signature[64]; +unsigned char public_key[32]; +unsigned char private_key[64]; +unsigned char scalar[32]; +unsigned char shared_secret[32]; +``` + +API +--- + +```c +int ed25519_create_seed(unsigned char *seed); +``` + +Creates a 32 byte random seed in `seed` for key generation. `seed` must be a +writable 32 byte buffer. Returns 0 on success, and nonzero on failure. + +```c +void ed25519_create_keypair(unsigned char *public_key, unsigned char *private_key, + const unsigned char *seed); +``` + +Creates a new key pair from the given seed. `public_key` must be a writable 32 +byte buffer, `private_key` must be a writable 64 byte buffer and `seed` must be +a 32 byte buffer. + +```c +void ed25519_sign(unsigned char *signature, + const unsigned char *message, size_t message_len, + const unsigned char *public_key, const unsigned char *private_key); +``` + +Creates a signature of the given message with the given key pair. `signature` +must be a writable 64 byte buffer. `message` must have at least `message_len` +bytes to be read. + +```c +int ed25519_verify(const unsigned char *signature, + const unsigned char *message, size_t message_len, + const unsigned char *public_key); +``` + +Verifies the signature on the given message using `public_key`. `signature` +must be a readable 64 byte buffer. `message` must have at least `message_len` +bytes to be read. Returns 1 if the signature matches, 0 otherwise. + +```c +void ed25519_add_scalar(unsigned char *public_key, unsigned char *private_key, + const unsigned char *scalar); +``` + +Adds `scalar` to the given key pair where scalar is a 32 byte buffer (possibly +generated with `ed25519_create_seed`), generating a new key pair. You can +calculate the public key sum without knowing the private key and vice versa by +passing in `NULL` for the key you don't know. This is useful for enforcing +randomness on a key pair by a third party while only knowing the public key, +among other things. Warning: the last bit of the scalar is ignored - if +comparing scalars make sure to clear it with `scalar[31] &= 127`. + + +```c +void ed25519_key_exchange(unsigned char *shared_secret, + const unsigned char *public_key, const unsigned char *private_key); +``` + +Performs a key exchange on the given public key and private key, producing a +shared secret. It is recommended to hash the shared secret before using it. +`shared_secret` must be a 32 byte writable buffer where the shared secret will +be stored. + +Example +------- + +```c +unsigned char seed[32], public_key[32], private_key[64], signature[64]; +unsigned char other_public_key[32], other_private_key[64], shared_secret[32]; +const unsigned char message[] = "TEST MESSAGE"; + +/* create a random seed, and a key pair out of that seed */ +if (ed25519_create_seed(seed)) { + printf("error while generating seed\n"); + exit(1); +} + +ed25519_create_keypair(public_key, private_key, seed); + +/* create signature on the message with the key pair */ +ed25519_sign(signature, message, strlen(message), public_key, private_key); + +/* verify the signature */ +if (ed25519_verify(signature, message, strlen(message), public_key)) { + printf("valid signature\n"); +} else { + printf("invalid signature\n"); +} + +/* create a dummy keypair to use for a key exchange, normally you'd only have +the public key and receive it through some communication channel */ +if (ed25519_create_seed(seed)) { + printf("error while generating seed\n"); + exit(1); +} + +ed25519_create_keypair(other_public_key, other_private_key, seed); + +/* do a key exchange with other_public_key */ +ed25519_key_exchange(shared_secret, other_public_key, private_key); + +/* + the magic here is that ed25519_key_exchange(shared_secret, public_key, + other_private_key); would result in the same shared_secret +*/ + +``` + +License +------- +All code is in the public domain. diff --git a/lib/ed25519/src/add_scalar.c b/lib/ed25519/src/add_scalar.c new file mode 100644 index 0000000..a4f2a55 --- /dev/null +++ b/lib/ed25519/src/add_scalar.c @@ -0,0 +1,56 @@ +#include "ed25519.h" +#include "ge.h" +#include "sc.h" + + +/* see http://crypto.stackexchange.com/a/6215/4697 */ +void ed25519_add_scalar(unsigned char *public_key, unsigned char *private_key, const unsigned char *scalar) { + const unsigned char SC_1[32] = {1}; /* scalar with value 1 */ + + unsigned char n[32]; + ge_p3 nB; + ge_p1p1 A_p1p1; + ge_p3 A; + ge_p3 public_key_unpacked; + ge_cached T; + + int i; + + /* copy the scalar and clear highest bit */ + for (i = 0; i < 31; ++i) { + n[i] = scalar[i]; + } + n[31] = scalar[31] & 127; + + /* private key: a = n + t */ + if (private_key) { + sc_muladd(private_key, SC_1, n, private_key); + } + + /* public key: A = nB + T */ + if (public_key) { + /* if we know the private key we don't need a point addition, which is faster */ + /* using a "timing attack" you could find out wether or not we know the private + key, but this information seems rather useless - if this is important pass + public_key and private_key seperately in 2 function calls */ + if (private_key) { + ge_scalarmult_base(&A, private_key); + } else { + /* unpack public key into T */ + ge_frombytes_negate_vartime(&public_key_unpacked, public_key); + fe_neg(public_key_unpacked.X, public_key_unpacked.X); /* undo negate */ + fe_neg(public_key_unpacked.T, public_key_unpacked.T); /* undo negate */ + ge_p3_to_cached(&T, &public_key_unpacked); + + /* calculate n*B */ + ge_scalarmult_base(&nB, n); + + /* A = n*B + T */ + ge_add(&A_p1p1, &nB, &T); + ge_p1p1_to_p3(&A, &A_p1p1); + } + + /* pack public key */ + ge_p3_tobytes(public_key, &A); + } +} diff --git a/lib/ed25519/src/ed25519.h b/lib/ed25519/src/ed25519.h new file mode 100644 index 0000000..8924659 --- /dev/null +++ b/lib/ed25519/src/ed25519.h @@ -0,0 +1,38 @@ +#ifndef ED25519_H +#define ED25519_H + +#include <stddef.h> + +#if defined(_WIN32) + #if defined(ED25519_BUILD_DLL) + #define ED25519_DECLSPEC __declspec(dllexport) + #elif defined(ED25519_DLL) + #define ED25519_DECLSPEC __declspec(dllimport) + #else + #define ED25519_DECLSPEC + #endif +#else + #define ED25519_DECLSPEC +#endif + + +#ifdef __cplusplus +extern "C" { +#endif + +#ifndef ED25519_NO_SEED +int ED25519_DECLSPEC ed25519_create_seed(unsigned char *seed); +#endif + +void ED25519_DECLSPEC ed25519_create_keypair(unsigned char *public_key, unsigned char *private_key, const unsigned char *seed); +void ED25519_DECLSPEC ed25519_sign(unsigned char *signature, const unsigned char *message, size_t message_len, const unsigned char *public_key, const unsigned char *private_key); +int ED25519_DECLSPEC ed25519_verify(const unsigned char *signature, const unsigned char *message, size_t message_len, const unsigned char *public_key); +void ED25519_DECLSPEC ed25519_add_scalar(unsigned char *public_key, unsigned char *private_key, const unsigned char *scalar); +void ED25519_DECLSPEC ed25519_key_exchange(unsigned char *shared_secret, const unsigned char *public_key, const unsigned char *private_key); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/lib/ed25519/src/fe.c b/lib/ed25519/src/fe.c new file mode 100644 index 0000000..448e3e9 --- /dev/null +++ b/lib/ed25519/src/fe.c @@ -0,0 +1,1491 @@ +#include "fixedint.h" +#include "fe.h" + + +/* + helper functions +*/ +static uint64_t load_3(const unsigned char *in) { + uint64_t result; + + result = (uint64_t) in[0]; + result |= ((uint64_t) in[1]) << 8; + result |= ((uint64_t) in[2]) << 16; + + return result; +} + +static uint64_t load_4(const unsigned char *in) { + uint64_t result; + + result = (uint64_t) in[0]; + result |= ((uint64_t) in[1]) << 8; + result |= ((uint64_t) in[2]) << 16; + result |= ((uint64_t) in[3]) << 24; + + return result; +} + + + +/* + h = 0 +*/ + +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; +} + + + +/* + 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; +} + + + +/* + 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) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t g0 = g[0]; + int32_t g1 = g[1]; + int32_t g2 = g[2]; + int32_t g3 = g[3]; + int32_t g4 = g[4]; + int32_t g5 = g[5]; + int32_t g6 = g[6]; + int32_t g7 = g[7]; + int32_t g8 = g[8]; + int32_t g9 = g[9]; + int32_t h0 = f0 + g0; + int32_t h1 = f1 + g1; + int32_t h2 = f2 + g2; + int32_t h3 = f3 + g3; + int32_t h4 = f4 + g4; + int32_t h5 = f5 + g5; + int32_t h6 = f6 + g6; + int32_t h7 = f7 + g7; + int32_t h8 = f8 + g8; + int32_t h9 = f9 + g9; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + + + +/* + Replace (f,g) with (g,g) if b == 1; + replace (f,g) with (f,g) if b == 0. + + Preconditions: b in {0,1}. +*/ + +void fe_cmov(fe f, const fe g, unsigned int b) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t g0 = g[0]; + int32_t g1 = g[1]; + int32_t g2 = g[2]; + int32_t g3 = g[3]; + int32_t g4 = g[4]; + int32_t g5 = g[5]; + int32_t g6 = g[6]; + int32_t g7 = g[7]; + int32_t g8 = g[8]; + int32_t g9 = g[9]; + int32_t x0 = f0 ^ g0; + int32_t x1 = f1 ^ g1; + int32_t x2 = f2 ^ g2; + int32_t x3 = f3 ^ g3; + int32_t x4 = f4 ^ g4; + int32_t x5 = f5 ^ g5; + int32_t x6 = f6 ^ g6; + int32_t x7 = f7 ^ g7; + int32_t x8 = f8 ^ g8; + int32_t x9 = f9 ^ g9; + + b = (unsigned int) (- (int) b); /* silence warning */ + 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; +} + +/* + Replace (f,g) with (g,f) if b == 1; + replace (f,g) with (f,g) if b == 0. + + Preconditions: b in {0,1}. +*/ + +void fe_cswap(fe f,fe g,unsigned int b) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t g0 = g[0]; + int32_t g1 = g[1]; + int32_t g2 = g[2]; + int32_t g3 = g[3]; + int32_t g4 = g[4]; + int32_t g5 = g[5]; + int32_t g6 = g[6]; + int32_t g7 = g[7]; + int32_t g8 = g[8]; + int32_t g9 = g[9]; + int32_t x0 = f0 ^ g0; + int32_t x1 = f1 ^ g1; + int32_t x2 = f2 ^ g2; + int32_t x3 = f3 ^ g3; + int32_t x4 = f4 ^ g4; + int32_t x5 = f5 ^ g5; + int32_t x6 = f6 ^ g6; + int32_t x7 = f7 ^ g7; + int32_t x8 = f8 ^ g8; + int32_t x9 = f9 ^ g9; + b = -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; + g[0] = g0 ^ x0; + g[1] = g1 ^ x1; + g[2] = g2 ^ x2; + g[3] = g3 ^ x3; + g[4] = g4 ^ x4; + g[5] = g5 ^ x5; + g[6] = g6 ^ x6; + g[7] = g7 ^ x7; + g[8] = g8 ^ x8; + g[9] = g9 ^ x9; +} + + + +/* + h = f +*/ + +void fe_copy(fe h, const fe f) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + + h[0] = f0; + h[1] = f1; + h[2] = f2; + h[3] = f3; + h[4] = f4; + h[5] = f5; + h[6] = f6; + h[7] = f7; + h[8] = f8; + h[9] = f9; +} + + + +/* + Ignores top bit of h. +*/ + +void fe_frombytes(fe h, const unsigned char *s) { + int64_t h0 = load_4(s); + int64_t h1 = load_3(s + 4) << 6; + int64_t h2 = load_3(s + 7) << 5; + int64_t h3 = load_3(s + 10) << 3; + int64_t h4 = load_3(s + 13) << 2; + int64_t h5 = load_4(s + 16); + int64_t h6 = load_3(s + 20) << 7; + int64_t h7 = load_3(s + 23) << 5; + int64_t h8 = load_3(s + 26) << 4; + int64_t h9 = (load_3(s + 29) & 8388607) << 2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + carry9 = (h9 + (int64_t) (1 << 24)) >> 25; + h0 += carry9 * 19; + h9 -= carry9 << 25; + carry1 = (h1 + (int64_t) (1 << 24)) >> 25; + h2 += carry1; + h1 -= carry1 << 25; + carry3 = (h3 + (int64_t) (1 << 24)) >> 25; + h4 += carry3; + h3 -= carry3 << 25; + carry5 = (h5 + (int64_t) (1 << 24)) >> 25; + h6 += carry5; + h5 -= carry5 << 25; + carry7 = (h7 + (int64_t) (1 << 24)) >> 25; + h8 += carry7; + h7 -= carry7 << 25; + carry0 = (h0 + (int64_t) (1 << 25)) >> 26; + h1 += carry0; + h0 -= carry0 << 26; + carry2 = (h2 + (int64_t) (1 << 25)) >> 26; + h3 += carry2; + h2 -= carry2 << 26; + carry4 = (h4 + (int64_t) (1 << 25)) >> 26; + h5 += carry4; + h4 -= carry4 << 26; + carry6 = (h6 + (int64_t) (1 << 25)) >> 26; + h7 += carry6; + h6 -= carry6 << 26; + carry8 = (h8 + (int64_t) (1 << 25)) >> 26; + h9 += carry8; + h8 -= carry8 << 26; + + h[0] = (int32_t) h0; + h[1] = (int32_t) h1; + h[2] = (int32_t) h2; + h[3] = (int32_t) h3; + h[4] = (int32_t) h4; + h[5] = (int32_t) h5; + h[6] = (int32_t) h6; + h[7] = (int32_t) h7; + h[8] = (int32_t) h8; + h[9] = (int32_t) h9; +} + + + +void fe_invert(fe out, const fe z) { + fe t0; + fe t1; + fe t2; + fe t3; + int i; + + fe_sq(t0, z); + + for (i = 1; i < 1; ++i) { + fe_sq(t0, t0); + } + + fe_sq(t1, t0); + + for (i = 1; i < 2; ++i) { + fe_sq(t1, t1); + } + + fe_mul(t1, z, t1); + fe_mul(t0, t0, t1); + fe_sq(t2, t0); + + for (i = 1; i < 1; ++i) { + fe_sq(t2, t2); + } + + fe_mul(t1, t1, t2); + fe_sq(t2, t1); + + for (i = 1; i < 5; ++i) { + fe_sq(t2, t2); + } + + fe_mul(t1, t2, t1); + fe_sq(t2, t1); + + for (i = 1; i < 10; ++i) { + fe_sq(t2, t2); + } + + fe_mul(t2, t2, t1); + fe_sq(t3, t2); + + for (i = 1; i < 20; ++i) { + fe_sq(t3, t3); + } + + fe_mul(t2, t3, t2); + fe_sq(t2, t2); + + for (i = 1; i < 10; ++i) { + fe_sq(t2, t2); + } + + fe_mul(t1, t2, t1); + fe_sq(t2, t1); + + for (i = 1; i < 50; ++i) { + fe_sq(t2, t2); + } + + fe_mul(t2, t2, t1); + fe_sq(t3, t2); + + for (i = 1; i < 100; ++i) { + fe_sq(t3, t3); + } + + fe_mul(t2, t3, t2); + fe_sq(t2, t2); + + for (i = 1; i < 50; ++i) { + fe_sq(t2, t2); + } + + fe_mul(t1, t2, t1); + fe_sq(t1, t1); + + for (i = 1; i < 5; ++i) { + fe_sq(t1, t1); + } + + fe_mul(out, t1, t0); +} + + + +/* + 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; +} + + + +/* + 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. +*/ + +int fe_isnonzero(const fe f) { + unsigned char s[32]; + unsigned char r; + + fe_tobytes(s, f); + + r = s[0]; + #define F(i) r |= s[i] + 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); + #undef F + + return r != 0; +} + + + +/* + 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) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t g0 = g[0]; + int32_t g1 = g[1]; + int32_t g2 = g[2]; + int32_t g3 = g[3]; + int32_t g4 = g[4]; + int32_t g5 = g[5]; + int32_t g6 = g[6]; + int32_t g7 = g[7]; + int32_t g8 = g[8]; + int32_t g9 = g[9]; + int32_t g1_19 = 19 * g1; /* 1.959375*2^29 */ + int32_t g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ + int32_t g3_19 = 19 * g3; + int32_t g4_19 = 19 * g4; + int32_t g5_19 = 19 * g5; + int32_t g6_19 = 19 * g6; + int32_t g7_19 = 19 * g7; + int32_t g8_19 = 19 * g8; + int32_t g9_19 = 19 * g9; + int32_t f1_2 = 2 * f1; + int32_t f3_2 = 2 * f3; + int32_t f5_2 = 2 * f5; + int32_t f7_2 = 2 * f7; + int32_t f9_2 = 2 * f9; + int64_t f0g0 = f0 * (int64_t) g0; + int64_t f0g1 = f0 * (int64_t) g1; + int64_t f0g2 = f0 * (int64_t) g2; + int64_t f0g3 = f0 * (int64_t) g3; + int64_t f0g4 = f0 * (int64_t) g4; + int64_t f0g5 = f0 * (int64_t) g5; + int64_t f0g6 = f0 * (int64_t) g6; + int64_t f0g7 = f0 * (int64_t) g7; + int64_t f0g8 = f0 * (int64_t) g8; + int64_t f0g9 = f0 * (int64_t) g9; + int64_t f1g0 = f1 * (int64_t) g0; + int64_t f1g1_2 = f1_2 * (int64_t) g1; + int64_t f1g2 = f1 * (int64_t) g2; + int64_t f1g3_2 = f1_2 * (int64_t) g3; + int64_t f1g4 = f1 * (int64_t) g4; + int64_t f1g5_2 = f1_2 * (int64_t) g5; + int64_t f1g6 = f1 * (int64_t) g6; + int64_t f1g7_2 = f1_2 * (int64_t) g7; + int64_t f1g8 = f1 * (int64_t) g8; + int64_t f1g9_38 = f1_2 * (int64_t) g9_19; + int64_t f2g0 = f2 * (int64_t) g0; + int64_t f2g1 = f2 * (int64_t) g1; + int64_t f2g2 = f2 * (int64_t) g2; + int64_t f2g3 = f2 * (int64_t) g3; + int64_t f2g4 = f2 * (int64_t) g4; + int64_t f2g5 = f2 * (int64_t) g5; + int64_t f2g6 = f2 * (int64_t) g6; + int64_t f2g7 = f2 * (int64_t) g7; + int64_t f2g8_19 = f2 * (int64_t) g8_19; + int64_t f2g9_19 = f2 * (int64_t) g9_19; + int64_t f3g0 = f3 * (int64_t) g0; + int64_t f3g1_2 = f3_2 * (int64_t) g1; + int64_t f3g2 = f3 * (int64_t) g2; + int64_t f3g3_2 = f3_2 * (int64_t) g3; + int64_t f3g4 = f3 * (int64_t) g4; + int64_t f3g5_2 = f3_2 * (int64_t) g5; + int64_t f3g6 = f3 * (int64_t) g6; + int64_t f3g7_38 = f3_2 * (int64_t) g7_19; + int64_t f3g8_19 = f3 * (int64_t) g8_19; + int64_t f3g9_38 = f3_2 * (int64_t) g9_19; + int64_t f4g0 = f4 * (int64_t) g0; + int64_t f4g1 = f4 * (int64_t) g1; + int64_t f4g2 = f4 * (int64_t) g2; + int64_t f4g3 = f4 * (int64_t) g3; + int64_t f4g4 = f4 * (int64_t) g4; + int64_t f4g5 = f4 * (int64_t) g5; + int64_t f4g6_19 = f4 * (int64_t) g6_19; + int64_t f4g7_19 = f4 * (int64_t) g7_19; + int64_t f4g8_19 = f4 * (int64_t) g8_19; + int64_t f4g9_19 = f4 * (int64_t) g9_19; + int64_t f5g0 = f5 * (int64_t) g0; + int64_t f5g1_2 = f5_2 * (int64_t) g1; + int64_t f5g2 = f5 * (int64_t) g2; + int64_t f5g3_2 = f5_2 * (int64_t) g3; + int64_t f5g4 = f5 * (int64_t) g4; + int64_t f5g5_38 = f5_2 * (int64_t) g5_19; + int64_t f5g6_19 = f5 * (int64_t) g6_19; + int64_t f5g7_38 = f5_2 * (int64_t) g7_19; + int64_t f5g8_19 = f5 * (int64_t) g8_19; + int64_t f5g9_38 = f5_2 * (int64_t) g9_19; + int64_t f6g0 = f6 * (int64_t) g0; + int64_t f6g1 = f6 * (int64_t) g1; + int64_t f6g2 = f6 * (int64_t) g2; + int64_t f6g3 = f6 * (int64_t) g3; + int64_t f6g4_19 = f6 * (int64_t) g4_19; + int64_t f6g5_19 = f6 * (int64_t) g5_19; + int64_t f6g6_19 = f6 * (int64_t) g6_19; + int64_t f6g7_19 = f6 * (int64_t) g7_19; + int64_t f6g8_19 = f6 * (int64_t) g8_19; + int64_t f6g9_19 = f6 * (int64_t) g9_19; + int64_t f7g0 = f7 * (int64_t) g0; + int64_t f7g1_2 = f7_2 * (int64_t) g1; + int64_t f7g2 = f7 * (int64_t) g2; + int64_t f7g3_38 = f7_2 * (int64_t) g3_19; + int64_t f7g4_19 = f7 * (int64_t) g4_19; + int64_t f7g5_38 = f7_2 * (int64_t) g5_19; + int64_t f7g6_19 = f7 * (int64_t) g6_19; + int64_t f7g7_38 = f7_2 * (int64_t) g7_19; + int64_t f7g8_19 = f7 * (int64_t) g8_19; + int64_t f7g9_38 = f7_2 * (int64_t) g9_19; + int64_t f8g0 = f8 * (int64_t) g0; + int64_t f8g1 = f8 * (int64_t) g1; + int64_t f8g2_19 = f8 * (int64_t) g2_19; + int64_t f8g3_19 = f8 * (int64_t) g3_19; + int64_t f8g4_19 = f8 * (int64_t) g4_19; + int64_t f8g5_19 = f8 * (int64_t) g5_19; + int64_t f8g6_19 = f8 * (int64_t) g6_19; + int64_t f8g7_19 = f8 * (int64_t) g7_19; + int64_t f8g8_19 = f8 * (int64_t) g8_19; + int64_t f8g9_19 = f8 * (int64_t) g9_19; + int64_t f9g0 = f9 * (int64_t) g0; + int64_t f9g1_38 = f9_2 * (int64_t) g1_19; + int64_t f9g2_19 = f9 * (int64_t) g2_19; + int64_t f9g3_38 = f9_2 * (int64_t) g3_19; + int64_t f9g4_19 = f9 * (int64_t) g4_19; + int64_t f9g5_38 = f9_2 * (int64_t) g5_19; + int64_t f9g6_19 = f9 * (int64_t) g6_19; + int64_t f9g7_38 = f9_2 * (int64_t) g7_19; + int64_t f9g8_19 = f9 * (int64_t) g8_19; + int64_t f9g9_38 = f9_2 * (int64_t) g9_19; + int64_t h0 = f0g0 + f1g9_38 + f2g8_19 + f3g7_38 + f4g6_19 + f5g5_38 + f6g4_19 + f7g3_38 + f8g2_19 + f9g1_38; + int64_t h1 = f0g1 + f1g0 + f2g9_19 + f3g8_19 + f4g7_19 + f5g6_19 + f6g5_19 + f7g4_19 + f8g3_19 + f9g2_19; + int64_t h2 = f0g2 + f1g1_2 + f2g0 + f3g9_38 + f4g8_19 + f5g7_38 + f6g6_19 + f7g5_38 + f8g4_19 + f9g3_38; + int64_t h3 = f0g3 + f1g2 + f2g1 + f3g0 + f4g9_19 + f5g8_19 + f6g7_19 + f7g6_19 + f8g5_19 + f9g4_19; + int64_t h4 = f0g4 + f1g3_2 + f2g2 + f3g1_2 + f4g0 + f5g9_38 + f6g8_19 + f7g7_38 + f8g6_19 + f9g5_38; + int64_t h5 = f0g5 + f1g4 + f2g3 + f3g2 + f4g1 + f5g0 + f6g9_19 + f7g8_19 + f8g7_19 + f9g6_19; + int64_t h6 = f0g6 + f1g5_2 + f2g4 + f3g3_2 + f4g2 + f5g1_2 + f6g0 + f7g9_38 + f8g8_19 + f9g7_38; + int64_t h7 = f0g7 + f1g6 + f2g5 + f3g4 + f4g3 + f5g2 + f6g1 + f7g0 + f8g9_19 + f9g8_19; + int64_t h8 = f0g8 + f1g7_2 + f2g6 + f3g5_2 + f4g4 + f5g3_2 + f6g2 + f7g1_2 + f8g0 + f9g9_38; + int64_t h9 = f0g9 + f1g8 + f2g7 + f3g6 + f4g5 + f5g4 + f6g3 + f7g2 + f8g1 + f9g0 ; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + carry0 = (h0 + (int64_t) (1 << 25)) >> 26; + h1 += carry0; + h0 -= carry0 << 26; + carry4 = (h4 + (int64_t) (1 << 25)) >> 26; + h5 += carry4; + h4 -= carry4 << 26; + + carry1 = (h1 + (int64_t) (1 << 24)) >> 25; + h2 += carry1; + h1 -= carry1 << 25; + carry5 = (h5 + (int64_t) (1 << 24)) >> 25; + h6 += carry5; + h5 -= carry5 << 25; + + carry2 = (h2 + (int64_t) (1 << 25)) >> 26; + h3 += carry2; + h2 -= carry2 << 26; + carry6 = (h6 + (int64_t) (1 << 25)) >> 26; + h7 += carry6; + h6 -= carry6 << 26; + + carry3 = (h3 + (int64_t) (1 << 24)) >> 25; + h4 += carry3; + h3 -= carry3 << 25; + carry7 = (h7 + (int64_t) (1 << 24)) >> 25; + h8 += carry7; + h7 -= carry7 << 25; + + carry4 = (h4 + (int64_t) (1 << 25)) >> 26; + h5 += carry4; + h4 -= carry4 << 26; + carry8 = (h8 + (int64_t) (1 << 25)) >> 26; + h9 += carry8; + h8 -= carry8 << 26; + + carry9 = (h9 + (int64_t) (1 << 24)) >> 25; + h0 += carry9 * 19; + h9 -= carry9 << 25; + + carry0 = (h0 + (int64_t) (1 << 25)) >> 26; + h1 += carry0; + h0 -= carry0 << 26; + + h[0] = (int32_t) h0; + h[1] = (int32_t) h1; + h[2] = (int32_t) h2; + h[3] = (int32_t) h3; + h[4] = (int32_t) h4; + h[5] = (int32_t) h5; + h[6] = (int32_t) h6; + h[7] = (int32_t) h7; + h[8] = (int32_t) h8; + h[9] = (int32_t) h9; +} + + +/* +h = f * 121666 +Can overlap h with f. + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. + +Postconditions: + |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +*/ + +void fe_mul121666(fe h, fe f) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int64_t h0 = f0 * (int64_t) 121666; + int64_t h1 = f1 * (int64_t) 121666; + int64_t h2 = f2 * (int64_t) 121666; + int64_t h3 = f3 * (int64_t) 121666; + int64_t h4 = f4 * (int64_t) 121666; + int64_t h5 = f5 * (int64_t) 121666; + int64_t h6 = f6 * (int64_t) 121666; + int64_t h7 = f7 * (int64_t) 121666; + int64_t h8 = f8 * (int64_t) 121666; + int64_t h9 = f9 * (int64_t) 121666; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (int64_t) (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; +} + + +/* +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) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t h0 = -f0; + int32_t h1 = -f1; + int32_t h2 = -f2; + int32_t h3 = -f3; + int32_t h4 = -f4; + int32_t h5 = -f5; + int32_t h6 = -f6; + int32_t h7 = -f7; + int32_t h8 = -f8; + int32_t h9 = -f9; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + + +void fe_pow22523(fe out, const fe z) { + fe t0; + fe t1; + fe t2; + int i; + fe_sq(t0, z); + + for (i = 1; i < 1; ++i) { + fe_sq(t0, t0); + } + + fe_sq(t1, t0); + + for (i = 1; i < 2; ++i) { + fe_sq(t1, t1); + } + + fe_mul(t1, z, t1); + fe_mul(t0, t0, t1); + fe_sq(t0, t0); + + for (i = 1; i < 1; ++i) { + fe_sq(t0, t0); + } + + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + + for (i = 1; i < 5; ++i) { + fe_sq(t1, t1); + } + + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + + for (i = 1; i < 10; ++i) { + fe_sq(t1, t1); + } + + fe_mul(t1, t1, t0); + fe_sq(t2, t1); + + for (i = 1; i < 20; ++i) { + fe_sq(t2, t2); + } + + fe_mul(t1, t2, t1); + fe_sq(t1, t1); + + for (i = 1; i < 10; ++i) { + fe_sq(t1, t1); + } + + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + + for (i = 1; i < 50; ++i) { + fe_sq(t1, t1); + } + + fe_mul(t1, t1, t0); + fe_sq(t2, t1); + + for (i = 1; i < 100; ++i) { + fe_sq(t2, t2); + } + + fe_mul(t1, t2, t1); + fe_sq(t1, t1); + + for (i = 1; i < 50; ++i) { + fe_sq(t1, t1); + } + + fe_mul(t0, t1, t0); + fe_sq(t0, t0); + + for (i = 1; i < 2; ++i) { + fe_sq(t0, t0); + } + + fe_mul(out, t0, z); + return; +} + + +/* +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) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t f0_2 = 2 * f0; + int32_t f1_2 = 2 * f1; + int32_t f2_2 = 2 * f2; + int32_t f3_2 = 2 * f3; + int32_t f4_2 = 2 * f4; + int32_t f5_2 = 2 * f5; + int32_t f6_2 = 2 * f6; + int32_t f7_2 = 2 * f7; + int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */ + int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */ + int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */ + int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */ + int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */ + int64_t f0f0 = f0 * (int64_t) f0; + int64_t f0f1_2 = f0_2 * (int64_t) f1; + int64_t f0f2_2 = f0_2 * (int64_t) f2; + int64_t f0f3_2 = f0_2 * (int64_t) f3; + int64_t f0f4_2 = f0_2 * (int64_t) f4; + int64_t f0f5_2 = f0_2 * (int64_t) f5; + int64_t f0f6_2 = f0_2 * (int64_t) f6; + int64_t f0f7_2 = f0_2 * (int64_t) f7; + int64_t f0f8_2 = f0_2 * (int64_t) f8; + int64_t f0f9_2 = f0_2 * (int64_t) f9; + int64_t f1f1_2 = f1_2 * (int64_t) f1; + int64_t f1f2_2 = f1_2 * (int64_t) f2; + int64_t f1f3_4 = f1_2 * (int64_t) f3_2; + int64_t f1f4_2 = f1_2 * (int64_t) f4; + int64_t f1f5_4 = f1_2 * (int64_t) f5_2; + int64_t f1f6_2 = f1_2 * (int64_t) f6; + int64_t f1f7_4 = f1_2 * (int64_t) f7_2; + int64_t f1f8_2 = f1_2 * (int64_t) f8; + int64_t f1f9_76 = f1_2 * (int64_t) f9_38; + int64_t f2f2 = f2 * (int64_t) f2; + int64_t f2f3_2 = f2_2 * (int64_t) f3; + int64_t f2f4_2 = f2_2 * (int64_t) f4; + int64_t f2f5_2 = f2_2 * (int64_t) f5; + int64_t f2f6_2 = f2_2 * (int64_t) f6; + int64_t f2f7_2 = f2_2 * (int64_t) f7; + int64_t f2f8_38 = f2_2 * (int64_t) f8_19; + int64_t f2f9_38 = f2 * (int64_t) f9_38; + int64_t f3f3_2 = f3_2 * (int64_t) f3; + int64_t f3f4_2 = f3_2 * (int64_t) f4; + int64_t f3f5_4 = f3_2 * (int64_t) f5_2; + int64_t f3f6_2 = f3_2 * (int64_t) f6; + int64_t f3f7_76 = f3_2 * (int64_t) f7_38; + int64_t f3f8_38 = f3_2 * (int64_t) f8_19; + int64_t f3f9_76 = f3_2 * (int64_t) f9_38; + int64_t f4f4 = f4 * (int64_t) f4; + int64_t f4f5_2 = f4_2 * (int64_t) f5; + int64_t f4f6_38 = f4_2 * (int64_t) f6_19; + int64_t f4f7_38 = f4 * (int64_t) f7_38; + int64_t f4f8_38 = f4_2 * (int64_t) f8_19; + int64_t f4f9_38 = f4 * (int64_t) f9_38; + int64_t f5f5_38 = f5 * (int64_t) f5_38; + int64_t f5f6_38 = f5_2 * (int64_t) f6_19; + int64_t f5f7_76 = f5_2 * (int64_t) f7_38; + int64_t f5f8_38 = f5_2 * (int64_t) f8_19; + int64_t f5f9_76 = f5_2 * (int64_t) f9_38; + int64_t f6f6_19 = f6 * (int64_t) f6_19; + int64_t f6f7_38 = f6 * (int64_t) f7_38; + int64_t f6f8_38 = f6_2 * (int64_t) f8_19; + int64_t f6f9_38 = f6 * (int64_t) f9_38; + int64_t f7f7_38 = f7 * (int64_t) f7_38; + int64_t f7f8_38 = f7_2 * (int64_t) f8_19; + int64_t f7f9_76 = f7_2 * (int64_t) f9_38; + int64_t f8f8_19 = f8 * (int64_t) f8_19; + int64_t f8f9_38 = f8 * (int64_t) f9_38; + int64_t f9f9_38 = f9 * (int64_t) f9_38; + int64_t h0 = f0f0 + f1f9_76 + f2f8_38 + f3f7_76 + f4f6_38 + f5f5_38; + int64_t h1 = f0f1_2 + f2f9_38 + f3f8_38 + f4f7_38 + f5f6_38; + int64_t h2 = f0f2_2 + f1f1_2 + f3f9_76 + f4f8_38 + f5f7_76 + f6f6_19; + int64_t h3 = f0f3_2 + f1f2_2 + f4f9_38 + f5f8_38 + f6f7_38; + int64_t h4 = f0f4_2 + f1f3_4 + f2f2 + f5f9_76 + f6f8_38 + f7f7_38; + int64_t h5 = f0f5_2 + f1f4_2 + f2f3_2 + f6f9_38 + f7f8_38; + int64_t h6 = f0f6_2 + f1f5_4 + f2f4_2 + f3f3_2 + f7f9_76 + f8f8_19; + int64_t h7 = f0f7_2 + f1f6_2 + f2f5_2 + f3f4_2 + f8f9_38; + int64_t h8 = f0f8_2 + f1f7_4 + f2f6_2 + f3f5_4 + f4f4 + f9f9_38; + int64_t h9 = f0f9_2 + f1f8_2 + f2f7_2 + f3f6_2 + f4f5_2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + carry0 = (h0 + (int64_t) (1 << 25)) >> 26; + h1 += carry0; + h0 -= carry0 << 26; + carry4 = (h4 + (int64_t) (1 << 25)) >> 26; + h5 += carry4; + h4 -= carry4 << 26; + carry1 = (h1 + (int64_t) (1 << 24)) >> 25; + h2 += carry1; + h1 -= carry1 << 25; + carry5 = (h5 + (int64_t) (1 << 24)) >> 25; + h6 += carry5; + h5 -= carry5 << 25; + carry2 = (h2 + (int64_t) (1 << 25)) >> 26; + h3 += carry2; + h2 -= carry2 << 26; + carry6 = (h6 + (int64_t) (1 << 25)) >> 26; + h7 += carry6; + h6 -= carry6 << 26; + carry3 = (h3 + (int64_t) (1 << 24)) >> 25; + h4 += carry3; + h3 -= carry3 << 25; + carry7 = (h7 + (int64_t) (1 << 24)) >> 25; + h8 += carry7; + h7 -= carry7 << 25; + carry4 = (h4 + (int64_t) (1 << 25)) >> 26; + h5 += carry4; + h4 -= carry4 << 26; + carry8 = (h8 + (int64_t) (1 << 25)) >> 26; + h9 += carry8; + h8 -= carry8 << 26; + carry9 = (h9 + (int64_t) (1 << 24)) >> 25; + h0 += carry9 * 19; + h9 -= carry9 << 25; + carry0 = (h0 + (int64_t) (1 << 25)) >> 26; + h1 += carry0; + h0 -= carry0 << 26; + h[0] = (int32_t) h0; + h[1] = (int32_t) h1; + h[2] = (int32_t) h2; + h[3] = (int32_t) h3; + h[4] = (int32_t) h4; + h[5] = (int32_t) h5; + h[6] = (int32_t) h6; + h[7] = (int32_t) h7; + h[8] = (int32_t) h8; + h[9] = (int32_t) h9; +} + + +/* +h = 2 * f * f +Can overlap h with f. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +See fe_mul.c for discussion of implementation strategy. +*/ + +void fe_sq2(fe h, const fe f) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t f0_2 = 2 * f0; + int32_t f1_2 = 2 * f1; + int32_t f2_2 = 2 * f2; + int32_t f3_2 = 2 * f3; + int32_t f4_2 = 2 * f4; + int32_t f5_2 = 2 * f5; + int32_t f6_2 = 2 * f6; + int32_t f7_2 = 2 * f7; + int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */ + int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */ + int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */ + int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */ + int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */ + int64_t f0f0 = f0 * (int64_t) f0; + int64_t f0f1_2 = f0_2 * (int64_t) f1; + int64_t f0f2_2 = f0_2 * (int64_t) f2; + int64_t f0f3_2 = f0_2 * (int64_t) f3; + int64_t f0f4_2 = f0_2 * (int64_t) f4; + int64_t f0f5_2 = f0_2 * (int64_t) f5; + int64_t f0f6_2 = f0_2 * (int64_t) f6; + int64_t f0f7_2 = f0_2 * (int64_t) f7; + int64_t f0f8_2 = f0_2 * (int64_t) f8; + int64_t f0f9_2 = f0_2 * (int64_t) f9; + int64_t f1f1_2 = f1_2 * (int64_t) f1; + int64_t f1f2_2 = f1_2 * (int64_t) f2; + int64_t f1f3_4 = f1_2 * (int64_t) f3_2; + int64_t f1f4_2 = f1_2 * (int64_t) f4; + int64_t f1f5_4 = f1_2 * (int64_t) f5_2; + int64_t f1f6_2 = f1_2 * (int64_t) f6; + int64_t f1f7_4 = f1_2 * (int64_t) f7_2; + int64_t f1f8_2 = f1_2 * (int64_t) f8; + int64_t f1f9_76 = f1_2 * (int64_t) f9_38; + int64_t f2f2 = f2 * (int64_t) f2; + int64_t f2f3_2 = f2_2 * (int64_t) f3; + int64_t f2f4_2 = f2_2 * (int64_t) f4; + int64_t f2f5_2 = f2_2 * (int64_t) f5; + int64_t f2f6_2 = f2_2 * (int64_t) f6; + int64_t f2f7_2 = f2_2 * (int64_t) f7; + int64_t f2f8_38 = f2_2 * (int64_t) f8_19; + int64_t f2f9_38 = f2 * (int64_t) f9_38; + int64_t f3f3_2 = f3_2 * (int64_t) f3; + int64_t f3f4_2 = f3_2 * (int64_t) f4; + int64_t f3f5_4 = f3_2 * (int64_t) f5_2; + int64_t f3f6_2 = f3_2 * (int64_t) f6; + int64_t f3f7_76 = f3_2 * (int64_t) f7_38; + int64_t f3f8_38 = f3_2 * (int64_t) f8_19; + int64_t f3f9_76 = f3_2 * (int64_t) f9_38; + int64_t f4f4 = f4 * (int64_t) f4; + int64_t f4f5_2 = f4_2 * (int64_t) f5; + int64_t f4f6_38 = f4_2 * (int64_t) f6_19; + int64_t f4f7_38 = f4 * (int64_t) f7_38; + int64_t f4f8_38 = f4_2 * (int64_t) f8_19; + int64_t f4f9_38 = f4 * (int64_t) f9_38; + int64_t f5f5_38 = f5 * (int64_t) f5_38; + int64_t f5f6_38 = f5_2 * (int64_t) f6_19; + int64_t f5f7_76 = f5_2 * (int64_t) f7_38; + int64_t f5f8_38 = f5_2 * (int64_t) f8_19; + int64_t f5f9_76 = f5_2 * (int64_t) f9_38; + int64_t f6f6_19 = f6 * (int64_t) f6_19; + int64_t f6f7_38 = f6 * (int64_t) f7_38; + int64_t f6f8_38 = f6_2 * (int64_t) f8_19; + int64_t f6f9_38 = f6 * (int64_t) f9_38; + int64_t f7f7_38 = f7 * (int64_t) f7_38; + int64_t f7f8_38 = f7_2 * (int64_t) f8_19; + int64_t f7f9_76 = f7_2 * (int64_t) f9_38; + int64_t f8f8_19 = f8 * (int64_t) f8_19; + int64_t f8f9_38 = f8 * (int64_t) f9_38; + int64_t f9f9_38 = f9 * (int64_t) f9_38; + int64_t h0 = f0f0 + f1f9_76 + f2f8_38 + f3f7_76 + f4f6_38 + f5f5_38; + int64_t h1 = f0f1_2 + f2f9_38 + f3f8_38 + f4f7_38 + f5f6_38; + int64_t h2 = f0f2_2 + f1f1_2 + f3f9_76 + f4f8_38 + f5f7_76 + f6f6_19; + int64_t h3 = f0f3_2 + f1f2_2 + f4f9_38 + f5f8_38 + f6f7_38; + int64_t h4 = f0f4_2 + f1f3_4 + f2f2 + f5f9_76 + f6f8_38 + f7f7_38; + int64_t h5 = f0f5_2 + f1f4_2 + f2f3_2 + f6f9_38 + f7f8_38; + int64_t h6 = f0f6_2 + f1f5_4 + f2f4_2 + f3f3_2 + f7f9_76 + f8f8_19; + int64_t h7 = f0f7_2 + f1f6_2 + f2f5_2 + f3f4_2 + f8f9_38; + int64_t h8 = f0f8_2 + f1f7_4 + f2f6_2 + f3f5_4 + f4f4 + f9f9_38; + int64_t h9 = f0f9_2 + f1f8_2 + f2f7_2 + f3f6_2 + f4f5_2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + h0 += h0; + h1 += h1; + h2 += h2; + h3 += h3; + h4 += h4; + h5 += h5; + h6 += h6; + h7 += h7; + h8 += h8; + h9 += h9; + carry0 = (h0 + (int64_t) (1 << 25)) >> 26; + h1 += carry0; + h0 -= carry0 << 26; + carry4 = (h4 + (int64_t) (1 << 25)) >> 26; + h5 += carry4; + h4 -= carry4 << 26; + carry1 = (h1 + (int64_t) (1 << 24)) >> 25; + h2 += carry1; + h1 -= carry1 << 25; + carry5 = (h5 + (int64_t) (1 << 24)) >> 25; + h6 += carry5; + h5 -= carry5 << 25; + carry2 = (h2 + (int64_t) (1 << 25)) >> 26; + h3 += carry2; + h2 -= carry2 << 26; + carry6 = (h6 + (int64_t) (1 << 25)) >> 26; + h7 += carry6; + h6 -= carry6 << 26; + carry3 = (h3 + (int64_t) (1 << 24)) >> 25; + h4 += carry3; + h3 -= carry3 << 25; + carry7 = (h7 + (int64_t) (1 << 24)) >> 25; + h8 += carry7; + h7 -= carry7 << 25; + carry4 = (h4 + (int64_t) (1 << 25)) >> 26; + h5 += carry4; + h4 -= carry4 << 26; + carry8 = (h8 + (int64_t) (1 << 25)) >> 26; + h9 += carry8; + h8 -= carry8 << 26; + carry9 = (h9 + (int64_t) (1 << 24)) >> 25; + h0 += carry9 * 19; + h9 -= carry9 << 25; + carry0 = (h0 + (int64_t) (1 << 25)) >> 26; + h1 += carry0; + h0 -= carry0 << 26; + h[0] = (int32_t) h0; + h[1] = (int32_t) h1; + h[2] = (int32_t) h2; + h[3] = (int32_t) h3; + h[4] = (int32_t) h4; + h[5] = (int32_t) h5; + h[6] = (int32_t) h6; + h[7] = (int32_t) h7; + h[8] = (int32_t) h8; + h[9] = (int32_t) h9; +} + + +/* +h = 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) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t g0 = g[0]; + int32_t g1 = g[1]; + int32_t g2 = g[2]; + int32_t g3 = g[3]; + int32_t g4 = g[4]; + int32_t g5 = g[5]; + int32_t g6 = g[6]; + int32_t g7 = g[7]; + int32_t g8 = g[8]; + int32_t g9 = g[9]; + int32_t h0 = f0 - g0; + int32_t h1 = f1 - g1; + int32_t h2 = f2 - g2; + int32_t h3 = f3 - g3; + int32_t h4 = f4 - g4; + int32_t h5 = f5 - g5; + int32_t h6 = f6 - g6; + int32_t h7 = f7 - g7; + int32_t h8 = f8 - g8; + int32_t h9 = f9 - g9; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + + + +/* +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) { + int32_t h0 = h[0]; + int32_t h1 = h[1]; + int32_t h2 = h[2]; + int32_t h3 = h[3]; + int32_t h4 = h[4]; + int32_t h5 = h[5]; + int32_t h6 = h[6]; + int32_t h7 = h[7]; + int32_t h8 = h[8]; + int32_t h9 = h[9]; + int32_t q; + int32_t carry0; + int32_t carry1; + int32_t carry2; + int32_t carry3; + int32_t carry4; + int32_t carry5; + int32_t carry6; + int32_t carry7; + int32_t carry8; + int32_t carry9; + q = (19 * h9 + (((int32_t) 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] = (unsigned char) (h0 >> 0); + s[1] = (unsigned char) (h0 >> 8); + s[2] = (unsigned char) (h0 >> 16); + s[3] = (unsigned char) ((h0 >> 24) | (h1 << 2)); + s[4] = (unsigned char) (h1 >> 6); + s[5] = (unsigned char) (h1 >> 14); + s[6] = (unsigned char) ((h1 >> 22) | (h2 << 3)); + s[7] = (unsigned char) (h2 >> 5); + s[8] = (unsigned char) (h2 >> 13); + s[9] = (unsigned char) ((h2 >> 21) | (h3 << 5)); + s[10] = (unsigned char) (h3 >> 3); + s[11] = (unsigned char) (h3 >> 11); + s[12] = (unsigned char) ((h3 >> 19) | (h4 << 6)); + s[13] = (unsigned char) (h4 >> 2); + s[14] = (unsigned char) (h4 >> 10); + s[15] = (unsigned char) (h4 >> 18); + s[16] = (unsigned char) (h5 >> 0); + s[17] = (unsigned char) (h5 >> 8); + s[18] = (unsigned char) (h5 >> 16); + s[19] = (unsigned char) ((h5 >> 24) | (h6 << 1)); + s[20] = (unsigned char) (h6 >> 7); + s[21] = (unsigned char) (h6 >> 15); + s[22] = (unsigned char) ((h6 >> 23) | (h7 << 3)); + s[23] = (unsigned char) (h7 >> 5); + s[24] = (unsigned char) (h7 >> 13); + s[25] = (unsigned char) ((h7 >> 21) | (h8 << 4)); + s[26] = (unsigned char) (h8 >> 4); + s[27] = (unsigned char) (h8 >> 12); + s[28] = (unsigned char) ((h8 >> 20) | (h9 << 6)); + s[29] = (unsigned char) (h9 >> 2); + s[30] = (unsigned char) (h9 >> 10); + s[31] = (unsigned char) (h9 >> 18); +} diff --git a/lib/ed25519/src/fe.h b/lib/ed25519/src/fe.h new file mode 100644 index 0000000..b4b62d2 --- /dev/null +++ b/lib/ed25519/src/fe.h @@ -0,0 +1,41 @@ +#ifndef FE_H +#define FE_H + +#include "fixedint.h" + + +/* + 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. +*/ + + +typedef int32_t fe[10]; + + +void fe_0(fe h); +void fe_1(fe h); + +void fe_frombytes(fe h, const unsigned char *s); +void fe_tobytes(unsigned char *s, const fe h); + +void fe_copy(fe h, const fe f); +int fe_isnegative(const fe f); +int fe_isnonzero(const fe f); +void fe_cmov(fe f, const fe g, unsigned int b); +void fe_cswap(fe f, fe g, unsigned int b); + +void fe_neg(fe h, const fe f); +void fe_add(fe h, const fe f, const fe g); +void fe_invert(fe out, const fe z); +void fe_sq(fe h, const fe f); +void fe_sq2(fe h, const fe f); +void fe_mul(fe h, const fe f, const fe g); +void fe_mul121666(fe h, fe f); +void fe_pow22523(fe out, const fe z); +void fe_sub(fe h, const fe f, const fe g); + +#endif diff --git a/lib/ed25519/src/fixedint.h b/lib/ed25519/src/fixedint.h new file mode 100644 index 0000000..1a8745b --- /dev/null +++ b/lib/ed25519/src/fixedint.h @@ -0,0 +1,72 @@ +/* + Portable header to provide the 32 and 64 bits type. + + Not a compatible replacement for <stdint.h>, do not blindly use it as such. +*/ + +#if ((defined(__STDC__) && __STDC__ && __STDC_VERSION__ >= 199901L) || (defined(__WATCOMC__) && (defined(_STDINT_H_INCLUDED) || __WATCOMC__ >= 1250)) || (defined(__GNUC__) && (defined(_STDINT_H) || defined(_STDINT_H_) || defined(__UINT_FAST64_TYPE__)) )) && !defined(FIXEDINT_H_INCLUDED) + #include <stdint.h> + #define FIXEDINT_H_INCLUDED + + #if defined(__WATCOMC__) && __WATCOMC__ >= 1250 && !defined(UINT64_C) + #include <limits.h> + #define UINT64_C(x) (x + (UINT64_MAX - UINT64_MAX)) + #endif +#endif + + +#ifndef FIXEDINT_H_INCLUDED + #define FIXEDINT_H_INCLUDED + + #include <limits.h> + + /* (u)int32_t */ + #ifndef uint32_t + #if (ULONG_MAX == 0xffffffffUL) + typedef unsigned long uint32_t; + #elif (UINT_MAX == 0xffffffffUL) + typedef unsigned int uint32_t; + #elif (USHRT_MAX == 0xffffffffUL) + typedef unsigned short uint32_t; + #endif + #endif + + + #ifndef int32_t + #if (LONG_MAX == 0x7fffffffL) + typedef signed long int32_t; + #elif (INT_MAX == 0x7fffffffL) + typedef signed int int32_t; + #elif (SHRT_MAX == 0x7fffffffL) + typedef signed short int32_t; + #endif + #endif + + + /* (u)int64_t */ + #if (defined(__STDC__) && defined(__STDC_VERSION__) && __STDC__ && __STDC_VERSION__ >= 199901L) + typedef long long int64_t; + typedef unsigned long long uint64_t; + + #define UINT64_C(v) v ##ULL + #define INT64_C(v) v ##LL + #elif defined(__GNUC__) + __extension__ typedef long long int64_t; + __extension__ typedef unsigned long long uint64_t; + + #define UINT64_C(v) v ##ULL + #define INT64_C(v) v ##LL + #elif defined(__MWERKS__) || defined(__SUNPRO_C) || defined(__SUNPRO_CC) || defined(__APPLE_CC__) || defined(_LONG_LONG) || defined(_CRAYC) + typedef long long int64_t; + typedef unsigned long long uint64_t; + + #define UINT64_C(v) v ##ULL + #define INT64_C(v) v ##LL + #elif (defined(__WATCOMC__) && defined(__WATCOM_INT64__)) || (defined(_MSC_VER) && _INTEGRAL_MAX_BITS >= 64) || (defined(__BORLANDC__) && __BORLANDC__ > 0x460) || defined(__alpha) || defined(__DECC) + typedef __int64 int64_t; + typedef unsigned __int64 uint64_t; + + #define UINT64_C(v) v ##UI64 + #define INT64_C(v) v ##I64 + #endif +#endif diff --git a/lib/ed25519/src/ge.c b/lib/ed25519/src/ge.c new file mode 100644 index 0000000..3c342b1 --- /dev/null +++ b/lib/ed25519/src/ge.c @@ -0,0 +1,467 @@ +#include "ge.h" +#include "precomp_data.h" + + +/* +r = p + q +*/ + +void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { + fe t0; + fe_add(r->X, p->Y, p->X); + fe_sub(r->Y, p->Y, p->X); + fe_mul(r->Z, r->X, q->YplusX); + fe_mul(r->Y, r->Y, q->YminusX); + fe_mul(r->T, q->T2d, p->T); + fe_mul(r->X, p->Z, q->Z); + fe_add(t0, r->X, r->X); + fe_sub(r->X, r->Z, r->Y); + fe_add(r->Y, r->Z, r->Y); + fe_add(r->Z, t0, r->T); + fe_sub(r->T, t0, r->T); +} + + +static void slide(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; + } + } + } + } +} + +/* +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); + } +} + + +static const fe d = { + -10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116 +}; + +static const fe sqrtm1 = { + -32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482 +}; + +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; +} + + +/* +r = p + q +*/ + +void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) { + fe t0; + fe_add(r->X, p->Y, p->X); + fe_sub(r->Y, p->Y, p->X); + fe_mul(r->Z, r->X, q->yplusx); + fe_mul(r->Y, r->Y, q->yminusx); + fe_mul(r->T, q->xy2d, p->T); + fe_add(t0, p->Z, p->Z); + fe_sub(r->X, r->Z, r->Y); + fe_add(r->Y, r->Z, r->Y); + fe_add(r->Z, t0, r->T); + fe_sub(r->T, t0, r->T); +} + + +/* +r = p - q +*/ + +void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) { + fe t0; + + fe_add(r->X, p->Y, p->X); + fe_sub(r->Y, p->Y, p->X); + fe_mul(r->Z, r->X, q->yminusx); + fe_mul(r->Y, r->Y, q->yplusx); + fe_mul(r->T, q->xy2d, p->T); + fe_add(t0, p->Z, p->Z); + fe_sub(r->X, r->Z, r->Y); + fe_add(r->Y, r->Z, r->Y); + fe_sub(r->Z, t0, r->T); + fe_add(r->T, t0, r->T); +} + + +/* +r = p +*/ + +void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p) { + fe_mul(r->X, p->X, p->T); + fe_mul(r->Y, p->Y, p->Z); + fe_mul(r->Z, p->Z, p->T); +} + + + +/* +r = p +*/ + +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); +} + + +void ge_p2_0(ge_p2 *h) { + fe_0(h->X); + fe_1(h->Y); + fe_1(h->Z); +} + + + +/* +r = 2 * p +*/ + +void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p) { + fe t0; + + fe_sq(r->X, p->X); + fe_sq(r->Z, p->Y); + fe_sq2(r->T, p->Z); + fe_add(r->Y, p->X, p->Y); + fe_sq(t0, r->Y); + fe_add(r->Y, r->Z, r->X); + fe_sub(r->Z, r->Z, r->X); + fe_sub(r->X, t0, r->Y); + fe_sub(r->T, r->T, r->Z); +} + + +void ge_p3_0(ge_p3 *h) { + fe_0(h->X); + fe_1(h->Y); + fe_1(h->Z); + fe_0(h->T); +} + + +/* +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); +} + + + +/* +r = p +*/ + +static const fe d2 = { + -21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199 +}; + +void ge_p3_to_cached(ge_cached *r, const ge_p3 *p) { + fe_add(r->YplusX, p->Y, p->X); + fe_sub(r->YminusX, p->Y, p->X); + fe_copy(r->Z, p->Z); + fe_mul(r->T2d, p->T, d2); +} + + +/* +r = p +*/ + +void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p) { + fe_copy(r->X, p->X); + fe_copy(r->Y, p->Y); + fe_copy(r->Z, p->Z); +} + + +void ge_p3_tobytes(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; +} + + +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 */ + uint64_t y = x; /* 0: yes; 1..255: no */ + y -= 1; /* large: yes; 0..254: no */ + y >>= 63; /* 1: yes; 0: no */ + return (unsigned char) y; +} + +static unsigned char negative(signed char b) { + uint64_t x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ + x >>= 63; /* 1: yes; 0: no */ + return (unsigned char) 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); +} + + +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); + fe_1(t->yplusx); + fe_1(t->yminusx); + fe_0(t->xy2d); + 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); + } +} + + +/* +r = p - q +*/ + +void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { + fe t0; + + fe_add(r->X, p->Y, p->X); + fe_sub(r->Y, p->Y, p->X); + fe_mul(r->Z, r->X, q->YminusX); + fe_mul(r->Y, r->Y, q->YplusX); + fe_mul(r->T, q->T2d, p->T); + fe_mul(r->X, p->Z, q->Z); + fe_add(t0, r->X, r->X); + fe_sub(r->X, r->Z, r->Y); + fe_add(r->Y, r->Z, r->Y); + fe_sub(r->Z, t0, r->T); + fe_add(r->T, t0, r->T); +} + + +void ge_tobytes(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/lib/ed25519/src/ge.h b/lib/ed25519/src/ge.h new file mode 100644 index 0000000..17fde2d --- /dev/null +++ b/lib/ed25519/src/ge.h @@ -0,0 +1,74 @@ +#ifndef GE_H +#define GE_H + +#include "fe.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) +*/ + +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; + +void ge_p3_tobytes(unsigned char *s, const ge_p3 *h); +void ge_tobytes(unsigned char *s, const ge_p2 *h); +int ge_frombytes_negate_vartime(ge_p3 *h, const unsigned char *s); + +void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q); +void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q); +void ge_double_scalarmult_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b); +void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q); +void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q); +void ge_scalarmult_base(ge_p3 *h, const unsigned char *a); + +void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p); +void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p); +void ge_p2_0(ge_p2 *h); +void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p); +void ge_p3_0(ge_p3 *h); +void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p); +void ge_p3_to_cached(ge_cached *r, const ge_p3 *p); +void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p); + +#endif diff --git a/lib/ed25519/src/key_exchange.c b/lib/ed25519/src/key_exchange.c new file mode 100644 index 0000000..abd75da --- /dev/null +++ b/lib/ed25519/src/key_exchange.c @@ -0,0 +1,79 @@ +#include "ed25519.h" +#include "fe.h" + +void ed25519_key_exchange(unsigned char *shared_secret, const unsigned char *public_key, const unsigned char *private_key) { + unsigned char e[32]; + unsigned int i; + + fe x1; + fe x2; + fe z2; + fe x3; + fe z3; + fe tmp0; + fe tmp1; + + int pos; + unsigned int swap; + unsigned int b; + + /* copy the private key and make sure it's valid */ + for (i = 0; i < 32; ++i) { + e[i] = private_key[i]; + } + + e[0] &= 248; + e[31] &= 63; + e[31] |= 64; + + /* unpack the public key and convert edwards to montgomery */ + /* due to CodesInChaos: montgomeryX = (edwardsY + 1)*inverse(1 - edwardsY) mod p */ + fe_frombytes(x1, public_key); + fe_1(tmp1); + fe_add(tmp0, x1, tmp1); + fe_sub(tmp1, tmp1, x1); + fe_invert(tmp1, tmp1); + fe_mul(x1, tmp0, tmp1); + + fe_1(x2); + fe_0(z2); + fe_copy(x3, x1); + fe_1(z3); + + swap = 0; + for (pos = 254; pos >= 0; --pos) { + b = e[pos / 8] >> (pos & 7); + b &= 1; + swap ^= b; + fe_cswap(x2, x3, swap); + fe_cswap(z2, z3, swap); + swap = b; + + /* from montgomery.h */ + fe_sub(tmp0, x3, z3); + fe_sub(tmp1, x2, z2); + fe_add(x2, x2, z2); + fe_add(z2, x3, z3); + fe_mul(z3, tmp0, x2); + fe_mul(z2, z2, tmp1); + fe_sq(tmp0, tmp1); + fe_sq(tmp1, x2); + fe_add(x3, z3, z2); + fe_sub(z2, z3, z2); + fe_mul(x2, tmp1, tmp0); + fe_sub(tmp1, tmp1, tmp0); + fe_sq(z2, z2); + fe_mul121666(z3, tmp1); + fe_sq(x3, x3); + fe_add(tmp0, tmp0, z3); + fe_mul(z3, x1, z2); + fe_mul(z2, tmp1, tmp0); + } + + fe_cswap(x2, x3, swap); + fe_cswap(z2, z3, swap); + + fe_invert(z2, z2); + fe_mul(x2, x2, z2); + fe_tobytes(shared_secret, x2); +} diff --git a/lib/ed25519/src/keypair.c b/lib/ed25519/src/keypair.c new file mode 100644 index 0000000..dc1b8ec --- /dev/null +++ b/lib/ed25519/src/keypair.c @@ -0,0 +1,16 @@ +#include "ed25519.h" +#include "sha512.h" +#include "ge.h" + + +void ed25519_create_keypair(unsigned char *public_key, unsigned char *private_key, const unsigned char *seed) { + ge_p3 A; + + sha512(seed, 32, private_key); + private_key[0] &= 248; + private_key[31] &= 63; + private_key[31] |= 64; + + ge_scalarmult_base(&A, private_key); + ge_p3_tobytes(public_key, &A); +} diff --git a/lib/ed25519/src/precomp_data.h b/lib/ed25519/src/precomp_data.h new file mode 100644 index 0000000..776b84f --- /dev/null +++ b/lib/ed25519/src/precomp_data.h @@ -0,0 +1,1391 @@ +static ge_precomp Bi[8] = { + { + { 25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605 }, + { -12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378 }, + { -8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546 }, + }, + { + { 15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024 }, + { 16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574 }, + { 30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357 }, + }, + { + { 10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380 }, + { 4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306 }, + { 19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942 }, + }, + { + { 5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766 }, + { -30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701 }, + { 28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300 }, + }, + { + { -22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877 }, + { -6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951 }, + { 4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784 }, + }, + { + { -25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436 }, + { 25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918 }, + { 23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877 }, + }, + { + { -33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800 }, + { -25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305 }, + { -13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300 }, + }, + { + { -3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876 }, + { -24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619 }, + { -3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683 }, + }, +}; + + +/* base[i][j] = (j+1)*256^i*B */ +static ge_precomp base[32][8] = { + { + { + { 25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605 }, + { -12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378 }, + { -8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546 }, + }, + { + { -12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303 }, + { -21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081 }, + { 26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697 }, + }, + { + { 15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024 }, + { 16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574 }, + { 30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357 }, + }, + { + { -17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540 }, + { 23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397 }, + { 7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325 }, + }, + { + { 10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380 }, + { 4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306 }, + { 19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942 }, + }, + { + { -15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777 }, + { -8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737 }, + { -18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652 }, + }, + { + { 5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766 }, + { -30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701 }, + { 28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300 }, + }, + { + { 14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726 }, + { -7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955 }, + { 27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425 }, + }, + }, + { + { + { -13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171 }, + { 27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510 }, + { 17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660 }, + }, + { + { -10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639 }, + { 29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963 }, + { 5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950 }, + }, + { + { -27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568 }, + { 12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335 }, + { 25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628 }, + }, + { + { -26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007 }, + { -2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772 }, + { -22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653 }, + }, + { + { 2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567 }, + { 13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686 }, + { 21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372 }, + }, + { + { -13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887 }, + { -23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954 }, + { -29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953 }, + }, + { + { 24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833 }, + { -16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532 }, + { -22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876 }, + }, + { + { 2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268 }, + { 33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214 }, + { 1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038 }, + }, + }, + { + { + { 6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800 }, + { 4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353, -4264057, 1244380, -12919645 }, + { -4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413, 9208236, 15886429, 16489664 }, + }, + { + { 1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933 }, + { -25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182 }, + { -17770784, 11797796, 31950843, 13929123, -25888302, 12288344, -30341101, -7336386, 13847711, 5387222 }, + }, + { + { -18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991 }, + { 20246567, -14369378, 22358229, -543712, 18507283, -10413996, 14554437, -8746092, 32232924, 16763880 }, + { 9648505, 10094563, 26416693, 14745928, -30374318, -6472621, 11094161, 15689506, 3140038, -16510092 }, + }, + { + { -16160072, 5472695, 31895588, 4744994, 8823515, 10365685, -27224800, 9448613, -28774454, 366295 }, + { 19153450, 11523972, -11096490, -6503142, -24647631, 5420647, 28344573, 8041113, 719605, 11671788 }, + { 8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916, -15266516, 27000813, -10195553 }, + }, + { + { -15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065, 5336097, 6750977, -14521026 }, + { 11836410, -3979488, 26297894, 16080799, 23455045, 15735944, 1695823, -8819122, 8169720, 16220347 }, + { -18115838, 8653647, 17578566, -6092619, -8025777, -16012763, -11144307, -2627664, -5990708, -14166033 }, + }, + { + { -23308498, -10968312, 15213228, -10081214, -30853605, -11050004, 27884329, 2847284, 2655861, 1738395 }, + { -27537433, -14253021, -25336301, -8002780, -9370762, 8129821, 21651608, -3239336, -19087449, -11005278 }, + { 1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890 }, + }, + { + { 32173121, -16129311, 24896207, 3921497, 22579056, -3410854, 19270449, 12217473, 17789017, -3395995 }, + { -30552961, -2228401, -15578829, -10147201, 13243889, 517024, 15479401, -3853233, 30460520, 1052596 }, + { -11614875, 13323618, 32618793, 8175907, -15230173, 12596687, 27491595, -4612359, 3179268, -9478891 }, + }, + { + { 31947069, -14366651, -4640583, -15339921, -15125977, -6039709, -14756777, -16411740, 19072640, -9511060 }, + { 11685058, 11822410, 3158003, -13952594, 33402194, -4165066, 5977896, -5215017, 473099, 5040608 }, + { -20290863, 8198642, -27410132, 11602123, 1290375, -2799760, 28326862, 1721092, -19558642, -3131606 }, + }, + }, + { + { + { 7881532, 10687937, 7578723, 7738378, -18951012, -2553952, 21820786, 8076149, -27868496, 11538389 }, + { -19935666, 3899861, 18283497, -6801568, -15728660, -11249211, 8754525, 7446702, -5676054, 5797016 }, + { -11295600, -3793569, -15782110, -7964573, 12708869, -8456199, 2014099, -9050574, -2369172, -5877341 }, + }, + { + { -22472376, -11568741, -27682020, 1146375, 18956691, 16640559, 1192730, -3714199, 15123619, 10811505 }, + { 14352098, -3419715, -18942044, 10822655, 32750596, 4699007, -70363, 15776356, -28886779, -11974553 }, + { -28241164, -8072475, -4978962, -5315317, 29416931, 1847569, -20654173, -16484855, 4714547, -9600655 }, + }, + { + { 15200332, 8368572, 19679101, 15970074, -31872674, 1959451, 24611599, -4543832, -11745876, 12340220 }, + { 12876937, -10480056, 33134381, 6590940, -6307776, 14872440, 9613953, 8241152, 15370987, 9608631 }, + { -4143277, -12014408, 8446281, -391603, 4407738, 13629032, -7724868, 15866074, -28210621, -8814099 }, + }, + { + { 26660628, -15677655, 8393734, 358047, -7401291, 992988, -23904233, 858697, 20571223, 8420556 }, + { 14620715, 13067227, -15447274, 8264467, 14106269, 15080814, 33531827, 12516406, -21574435, -12476749 }, + { 236881, 10476226, 57258, -14677024, 6472998, 2466984, 17258519, 7256740, 8791136, 15069930 }, + }, + { + { 1276410, -9371918, 22949635, -16322807, -23493039, -5702186, 14711875, 4874229, -30663140, -2331391 }, + { 5855666, 4990204, -13711848, 7294284, -7804282, 1924647, -1423175, -7912378, -33069337, 9234253 }, + { 20590503, -9018988, 31529744, -7352666, -2706834, 10650548, 31559055, -11609587, 18979186, 13396066 }, + }, + { + { 24474287, 4968103, 22267082, 4407354, 24063882, -8325180, -18816887, 13594782, 33514650, 7021958 }, + { -11566906, -6565505, -21365085, 15928892, -26158305, 4315421, -25948728, -3916677, -21480480, 12868082 }, + { -28635013, 13504661, 19988037, -2132761, 21078225, 6443208, -21446107, 2244500, -12455797, -8089383 }, + }, + { + { -30595528, 13793479, -5852820, 319136, -25723172, -6263899, 33086546, 8957937, -15233648, 5540521 }, + { -11630176, -11503902, -8119500, -7643073, 2620056, 1022908, -23710744, -1568984, -16128528, -14962807 }, + { 23152971, 775386, 27395463, 14006635, -9701118, 4649512, 1689819, 892185, -11513277, -15205948 }, + }, + { + { 9770129, 9586738, 26496094, 4324120, 1556511, -3550024, 27453819, 4763127, -19179614, 5867134 }, + { -32765025, 1927590, 31726409, -4753295, 23962434, -16019500, 27846559, 5931263, -29749703, -16108455 }, + { 27461885, -2977536, 22380810, 1815854, -23033753, -3031938, 7283490, -15148073, -19526700, 7734629 }, + }, + }, + { + { + { -8010264, -9590817, -11120403, 6196038, 29344158, -13430885, 7585295, -3176626, 18549497, 15302069 }, + { -32658337, -6171222, -7672793, -11051681, 6258878, 13504381, 10458790, -6418461, -8872242, 8424746 }, + { 24687205, 8613276, -30667046, -3233545, 1863892, -1830544, 19206234, 7134917, -11284482, -828919 }, + }, + { + { 11334899, -9218022, 8025293, 12707519, 17523892, -10476071, 10243738, -14685461, -5066034, 16498837 }, + { 8911542, 6887158, -9584260, -6958590, 11145641, -9543680, 17303925, -14124238, 6536641, 10543906 }, + { -28946384, 15479763, -17466835, 568876, -1497683, 11223454, -2669190, -16625574, -27235709, 8876771 }, + }, + { + { -25742899, -12566864, -15649966, -846607, -33026686, -796288, -33481822, 15824474, -604426, -9039817 }, + { 10330056, 70051, 7957388, -9002667, 9764902, 15609756, 27698697, -4890037, 1657394, 3084098 }, + { 10477963, -7470260, 12119566, -13250805, 29016247, -5365589, 31280319, 14396151, -30233575, 15272409 }, + }, + { + { -12288309, 3169463, 28813183, 16658753, 25116432, -5630466, -25173957, -12636138, -25014757, 1950504 }, + { -26180358, 9489187, 11053416, -14746161, -31053720, 5825630, -8384306, -8767532, 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\ No newline at end of file diff --git a/lib/ed25519/src/sc.c b/lib/ed25519/src/sc.c new file mode 100644 index 0000000..ca5bad2 --- /dev/null +++ b/lib/ed25519/src/sc.c @@ -0,0 +1,809 @@ +#include "fixedint.h" +#include "sc.h" + +static uint64_t load_3(const unsigned char *in) { + uint64_t result; + + result = (uint64_t) in[0]; + result |= ((uint64_t) in[1]) << 8; + result |= ((uint64_t) in[2]) << 16; + + return result; +} + +static uint64_t load_4(const unsigned char *in) { + uint64_t result; + + result = (uint64_t) in[0]; + result |= ((uint64_t) in[1]) << 8; + result |= ((uint64_t) in[2]) << 16; + result |= ((uint64_t) in[3]) << 24; + + return result; +} + +/* +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) { + int64_t s0 = 2097151 & load_3(s); + int64_t s1 = 2097151 & (load_4(s + 2) >> 5); + int64_t s2 = 2097151 & (load_3(s + 5) >> 2); + int64_t s3 = 2097151 & (load_4(s + 7) >> 7); + int64_t s4 = 2097151 & (load_4(s + 10) >> 4); + int64_t s5 = 2097151 & (load_3(s + 13) >> 1); + int64_t s6 = 2097151 & (load_4(s + 15) >> 6); + int64_t s7 = 2097151 & (load_3(s + 18) >> 3); + int64_t s8 = 2097151 & load_3(s + 21); + int64_t s9 = 2097151 & (load_4(s + 23) >> 5); + int64_t s10 = 2097151 & (load_3(s + 26) >> 2); + int64_t s11 = 2097151 & (load_4(s + 28) >> 7); + int64_t s12 = 2097151 & (load_4(s + 31) >> 4); + int64_t s13 = 2097151 & (load_3(s + 34) >> 1); + int64_t s14 = 2097151 & (load_4(s + 36) >> 6); + int64_t s15 = 2097151 & (load_3(s + 39) >> 3); + int64_t s16 = 2097151 & load_3(s + 42); + int64_t s17 = 2097151 & (load_4(s + 44) >> 5); + int64_t s18 = 2097151 & (load_3(s + 47) >> 2); + int64_t s19 = 2097151 & (load_4(s + 49) >> 7); + int64_t s20 = 2097151 & (load_4(s + 52) >> 4); + int64_t s21 = 2097151 & (load_3(s + 55) >> 1); + int64_t s22 = 2097151 & (load_4(s + 57) >> 6); + int64_t s23 = (load_4(s + 60) >> 3); + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + int64_t carry12; + int64_t carry13; + int64_t carry14; + int64_t carry15; + int64_t 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] = (unsigned char) (s0 >> 0); + s[1] = (unsigned char) (s0 >> 8); + s[2] = (unsigned char) ((s0 >> 16) | (s1 << 5)); + s[3] = (unsigned char) (s1 >> 3); + s[4] = (unsigned char) (s1 >> 11); + s[5] = (unsigned char) ((s1 >> 19) | (s2 << 2)); + s[6] = (unsigned char) (s2 >> 6); + s[7] = (unsigned char) ((s2 >> 14) | (s3 << 7)); + s[8] = (unsigned char) (s3 >> 1); + s[9] = (unsigned char) (s3 >> 9); + s[10] = (unsigned char) ((s3 >> 17) | (s4 << 4)); + s[11] = (unsigned char) (s4 >> 4); + s[12] = (unsigned char) (s4 >> 12); + s[13] = (unsigned char) ((s4 >> 20) | (s5 << 1)); + s[14] = (unsigned char) (s5 >> 7); + s[15] = (unsigned char) ((s5 >> 15) | (s6 << 6)); + s[16] = (unsigned char) (s6 >> 2); + s[17] = (unsigned char) (s6 >> 10); + s[18] = (unsigned char) ((s6 >> 18) | (s7 << 3)); + s[19] = (unsigned char) (s7 >> 5); + s[20] = (unsigned char) (s7 >> 13); + s[21] = (unsigned char) (s8 >> 0); + s[22] = (unsigned char) (s8 >> 8); + s[23] = (unsigned char) ((s8 >> 16) | (s9 << 5)); + s[24] = (unsigned char) (s9 >> 3); + s[25] = (unsigned char) (s9 >> 11); + s[26] = (unsigned char) ((s9 >> 19) | (s10 << 2)); + s[27] = (unsigned char) (s10 >> 6); + s[28] = (unsigned char) ((s10 >> 14) | (s11 << 7)); + s[29] = (unsigned char) (s11 >> 1); + s[30] = (unsigned char) (s11 >> 9); + s[31] = (unsigned char) (s11 >> 17); +} + + + +/* +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) { + int64_t a0 = 2097151 & load_3(a); + int64_t a1 = 2097151 & (load_4(a + 2) >> 5); + int64_t a2 = 2097151 & (load_3(a + 5) >> 2); + int64_t a3 = 2097151 & (load_4(a + 7) >> 7); + int64_t a4 = 2097151 & (load_4(a + 10) >> 4); + int64_t a5 = 2097151 & (load_3(a + 13) >> 1); + int64_t a6 = 2097151 & (load_4(a + 15) >> 6); + int64_t a7 = 2097151 & (load_3(a + 18) >> 3); + int64_t a8 = 2097151 & load_3(a + 21); + int64_t a9 = 2097151 & (load_4(a + 23) >> 5); + int64_t a10 = 2097151 & (load_3(a + 26) >> 2); + int64_t a11 = (load_4(a + 28) >> 7); + int64_t b0 = 2097151 & load_3(b); + int64_t b1 = 2097151 & (load_4(b + 2) >> 5); + int64_t b2 = 2097151 & (load_3(b + 5) >> 2); + int64_t b3 = 2097151 & (load_4(b + 7) >> 7); + int64_t b4 = 2097151 & (load_4(b + 10) >> 4); + int64_t b5 = 2097151 & (load_3(b + 13) >> 1); + int64_t b6 = 2097151 & (load_4(b + 15) >> 6); + int64_t b7 = 2097151 & (load_3(b + 18) >> 3); + int64_t b8 = 2097151 & load_3(b + 21); + int64_t b9 = 2097151 & (load_4(b + 23) >> 5); + int64_t b10 = 2097151 & (load_3(b + 26) >> 2); + int64_t b11 = (load_4(b + 28) >> 7); + int64_t c0 = 2097151 & load_3(c); + int64_t c1 = 2097151 & (load_4(c + 2) >> 5); + int64_t c2 = 2097151 & (load_3(c + 5) >> 2); + int64_t c3 = 2097151 & (load_4(c + 7) >> 7); + int64_t c4 = 2097151 & (load_4(c + 10) >> 4); + int64_t c5 = 2097151 & (load_3(c + 13) >> 1); + int64_t c6 = 2097151 & (load_4(c + 15) >> 6); + int64_t c7 = 2097151 & (load_3(c + 18) >> 3); + int64_t c8 = 2097151 & load_3(c + 21); + int64_t c9 = 2097151 & (load_4(c + 23) >> 5); + int64_t c10 = 2097151 & (load_3(c + 26) >> 2); + int64_t c11 = (load_4(c + 28) >> 7); + int64_t s0; + int64_t s1; + int64_t s2; + int64_t s3; + int64_t s4; + int64_t s5; + int64_t s6; + int64_t s7; + int64_t s8; + int64_t s9; + int64_t s10; + int64_t s11; + int64_t s12; + int64_t s13; + int64_t s14; + int64_t s15; + int64_t s16; + int64_t s17; + int64_t s18; + int64_t s19; + int64_t s20; + int64_t s21; + int64_t s22; + int64_t s23; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + int64_t carry12; + int64_t carry13; + int64_t carry14; + int64_t carry15; + int64_t carry16; + int64_t carry17; + int64_t carry18; + int64_t carry19; + int64_t carry20; + int64_t carry21; + int64_t 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] = (unsigned char) (s0 >> 0); + s[1] = (unsigned char) (s0 >> 8); + s[2] = (unsigned char) ((s0 >> 16) | (s1 << 5)); + s[3] = (unsigned char) (s1 >> 3); + s[4] = (unsigned char) (s1 >> 11); + s[5] = (unsigned char) ((s1 >> 19) | (s2 << 2)); + s[6] = (unsigned char) (s2 >> 6); + s[7] = (unsigned char) ((s2 >> 14) | (s3 << 7)); + s[8] = (unsigned char) (s3 >> 1); + s[9] = (unsigned char) (s3 >> 9); + s[10] = (unsigned char) ((s3 >> 17) | (s4 << 4)); + s[11] = (unsigned char) (s4 >> 4); + s[12] = (unsigned char) (s4 >> 12); + s[13] = (unsigned char) ((s4 >> 20) | (s5 << 1)); + s[14] = (unsigned char) (s5 >> 7); + s[15] = (unsigned char) ((s5 >> 15) | (s6 << 6)); + s[16] = (unsigned char) (s6 >> 2); + s[17] = (unsigned char) (s6 >> 10); + s[18] = (unsigned char) ((s6 >> 18) | (s7 << 3)); + s[19] = (unsigned char) (s7 >> 5); + s[20] = (unsigned char) (s7 >> 13); + s[21] = (unsigned char) (s8 >> 0); + s[22] = (unsigned char) (s8 >> 8); + s[23] = (unsigned char) ((s8 >> 16) | (s9 << 5)); + s[24] = (unsigned char) (s9 >> 3); + s[25] = (unsigned char) (s9 >> 11); + s[26] = (unsigned char) ((s9 >> 19) | (s10 << 2)); + s[27] = (unsigned char) (s10 >> 6); + s[28] = (unsigned char) ((s10 >> 14) | (s11 << 7)); + s[29] = (unsigned char) (s11 >> 1); + s[30] = (unsigned char) (s11 >> 9); + s[31] = (unsigned char) (s11 >> 17); +} diff --git a/lib/ed25519/src/sc.h b/lib/ed25519/src/sc.h new file mode 100644 index 0000000..8fa727e --- /dev/null +++ b/lib/ed25519/src/sc.h @@ -0,0 +1,12 @@ +#ifndef SC_H +#define SC_H + +/* +The set of scalars is \Z/l +where l = 2^252 + 27742317777372353535851937790883648493. +*/ + +void sc_reduce(unsigned char *s); +void sc_muladd(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c); + +#endif
\ No newline at end of file diff --git a/lib/ed25519/src/seed.c b/lib/ed25519/src/seed.c new file mode 100644 index 0000000..25e5182 --- /dev/null +++ b/lib/ed25519/src/seed.c @@ -0,0 +1,40 @@ +#include "ed25519.h" + +#ifndef ED25519_NO_SEED + +#ifdef _WIN32 +#include <Windows.h> +#include <Wincrypt.h> +#else +#include <stdio.h> +#endif + +int ed25519_create_seed(unsigned char *seed) { +#ifdef _WIN32 + HCRYPTPROV prov; + + if (!CryptAcquireContext(&prov, NULL, NULL, PROV_RSA_FULL, CRYPT_VERIFYCONTEXT)) { + return 1; + } + + if (!CryptGenRandom(prov, 32, seed)) { + CryptReleaseContext(prov, 0); + return 1; + } + + CryptReleaseContext(prov, 0); +#else + FILE *f = fopen("/dev/urandom", "rb"); + + if (f == NULL) { + return 1; + } + + fread(seed, 1, 32, f); + fclose(f); +#endif + + return 0; +} + +#endif
\ No newline at end of file diff --git a/lib/ed25519/src/sha512.c b/lib/ed25519/src/sha512.c new file mode 100644 index 0000000..cb8ae71 --- /dev/null +++ b/lib/ed25519/src/sha512.c @@ -0,0 +1,275 @@ +/* LibTomCrypt, modular cryptographic library -- Tom St Denis + * + * LibTomCrypt is a library that provides various cryptographic + * algorithms in a highly modular and flexible manner. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +#include "fixedint.h" +#include "sha512.h" + +/* the K array */ +static const uint64_t K[80] = { + UINT64_C(0x428a2f98d728ae22), UINT64_C(0x7137449123ef65cd), + UINT64_C(0xb5c0fbcfec4d3b2f), UINT64_C(0xe9b5dba58189dbbc), + UINT64_C(0x3956c25bf348b538), UINT64_C(0x59f111f1b605d019), + UINT64_C(0x923f82a4af194f9b), UINT64_C(0xab1c5ed5da6d8118), + UINT64_C(0xd807aa98a3030242), UINT64_C(0x12835b0145706fbe), + UINT64_C(0x243185be4ee4b28c), UINT64_C(0x550c7dc3d5ffb4e2), + UINT64_C(0x72be5d74f27b896f), UINT64_C(0x80deb1fe3b1696b1), + UINT64_C(0x9bdc06a725c71235), UINT64_C(0xc19bf174cf692694), + UINT64_C(0xe49b69c19ef14ad2), UINT64_C(0xefbe4786384f25e3), + UINT64_C(0x0fc19dc68b8cd5b5), UINT64_C(0x240ca1cc77ac9c65), + UINT64_C(0x2de92c6f592b0275), UINT64_C(0x4a7484aa6ea6e483), + UINT64_C(0x5cb0a9dcbd41fbd4), UINT64_C(0x76f988da831153b5), + UINT64_C(0x983e5152ee66dfab), UINT64_C(0xa831c66d2db43210), + UINT64_C(0xb00327c898fb213f), UINT64_C(0xbf597fc7beef0ee4), + UINT64_C(0xc6e00bf33da88fc2), UINT64_C(0xd5a79147930aa725), + UINT64_C(0x06ca6351e003826f), UINT64_C(0x142929670a0e6e70), + UINT64_C(0x27b70a8546d22ffc), UINT64_C(0x2e1b21385c26c926), + UINT64_C(0x4d2c6dfc5ac42aed), UINT64_C(0x53380d139d95b3df), + UINT64_C(0x650a73548baf63de), UINT64_C(0x766a0abb3c77b2a8), + UINT64_C(0x81c2c92e47edaee6), UINT64_C(0x92722c851482353b), + UINT64_C(0xa2bfe8a14cf10364), UINT64_C(0xa81a664bbc423001), + UINT64_C(0xc24b8b70d0f89791), UINT64_C(0xc76c51a30654be30), + UINT64_C(0xd192e819d6ef5218), UINT64_C(0xd69906245565a910), + UINT64_C(0xf40e35855771202a), UINT64_C(0x106aa07032bbd1b8), + UINT64_C(0x19a4c116b8d2d0c8), UINT64_C(0x1e376c085141ab53), + UINT64_C(0x2748774cdf8eeb99), UINT64_C(0x34b0bcb5e19b48a8), + UINT64_C(0x391c0cb3c5c95a63), UINT64_C(0x4ed8aa4ae3418acb), + UINT64_C(0x5b9cca4f7763e373), UINT64_C(0x682e6ff3d6b2b8a3), + UINT64_C(0x748f82ee5defb2fc), UINT64_C(0x78a5636f43172f60), + UINT64_C(0x84c87814a1f0ab72), UINT64_C(0x8cc702081a6439ec), + UINT64_C(0x90befffa23631e28), UINT64_C(0xa4506cebde82bde9), + UINT64_C(0xbef9a3f7b2c67915), UINT64_C(0xc67178f2e372532b), + UINT64_C(0xca273eceea26619c), UINT64_C(0xd186b8c721c0c207), + UINT64_C(0xeada7dd6cde0eb1e), UINT64_C(0xf57d4f7fee6ed178), + UINT64_C(0x06f067aa72176fba), UINT64_C(0x0a637dc5a2c898a6), + UINT64_C(0x113f9804bef90dae), UINT64_C(0x1b710b35131c471b), + UINT64_C(0x28db77f523047d84), UINT64_C(0x32caab7b40c72493), + UINT64_C(0x3c9ebe0a15c9bebc), UINT64_C(0x431d67c49c100d4c), + UINT64_C(0x4cc5d4becb3e42b6), UINT64_C(0x597f299cfc657e2a), + UINT64_C(0x5fcb6fab3ad6faec), UINT64_C(0x6c44198c4a475817) +}; + +/* Various logical functions */ + +#define ROR64c(x, y) \ + ( ((((x)&UINT64_C(0xFFFFFFFFFFFFFFFF))>>((uint64_t)(y)&UINT64_C(63))) | \ + ((x)<<((uint64_t)(64-((y)&UINT64_C(63)))))) & UINT64_C(0xFFFFFFFFFFFFFFFF)) + +#define STORE64H(x, y) \ + { (y)[0] = (unsigned char)(((x)>>56)&255); (y)[1] = (unsigned char)(((x)>>48)&255); \ + (y)[2] = (unsigned char)(((x)>>40)&255); (y)[3] = (unsigned char)(((x)>>32)&255); \ + (y)[4] = (unsigned char)(((x)>>24)&255); (y)[5] = (unsigned char)(((x)>>16)&255); \ + (y)[6] = (unsigned char)(((x)>>8)&255); (y)[7] = (unsigned char)((x)&255); } + +#define LOAD64H(x, y) \ + { x = (((uint64_t)((y)[0] & 255))<<56)|(((uint64_t)((y)[1] & 255))<<48) | \ + (((uint64_t)((y)[2] & 255))<<40)|(((uint64_t)((y)[3] & 255))<<32) | \ + (((uint64_t)((y)[4] & 255))<<24)|(((uint64_t)((y)[5] & 255))<<16) | \ + (((uint64_t)((y)[6] & 255))<<8)|(((uint64_t)((y)[7] & 255))); } + + +#define Ch(x,y,z) (z ^ (x & (y ^ z))) +#define Maj(x,y,z) (((x | y) & z) | (x & y)) +#define S(x, n) ROR64c(x, n) +#define R(x, n) (((x) &UINT64_C(0xFFFFFFFFFFFFFFFF))>>((uint64_t)n)) +#define Sigma0(x) (S(x, 28) ^ S(x, 34) ^ S(x, 39)) +#define Sigma1(x) (S(x, 14) ^ S(x, 18) ^ S(x, 41)) +#define Gamma0(x) (S(x, 1) ^ S(x, 8) ^ R(x, 7)) +#define Gamma1(x) (S(x, 19) ^ S(x, 61) ^ R(x, 6)) +#ifndef MIN + #define MIN(x, y) ( ((x)<(y))?(x):(y) ) +#endif + +/* compress 1024-bits */ +static int sha512_compress(sha512_context *md, unsigned char *buf) +{ + uint64_t S[8], W[80], t0, t1; + int i; + + /* copy state into S */ + for (i = 0; i < 8; i++) { + S[i] = md->state[i]; + } + + /* copy the state into 1024-bits into W[0..15] */ + for (i = 0; i < 16; i++) { + LOAD64H(W[i], buf + (8*i)); + } + + /* fill W[16..79] */ + for (i = 16; i < 80; i++) { + W[i] = Gamma1(W[i - 2]) + W[i - 7] + Gamma0(W[i - 15]) + W[i - 16]; + } + +/* Compress */ + #define RND(a,b,c,d,e,f,g,h,i) \ + t0 = h + Sigma1(e) + Ch(e, f, g) + K[i] + W[i]; \ + t1 = Sigma0(a) + Maj(a, b, c);\ + d += t0; \ + h = t0 + t1; + + for (i = 0; i < 80; i += 8) { + RND(S[0],S[1],S[2],S[3],S[4],S[5],S[6],S[7],i+0); + RND(S[7],S[0],S[1],S[2],S[3],S[4],S[5],S[6],i+1); + RND(S[6],S[7],S[0],S[1],S[2],S[3],S[4],S[5],i+2); + RND(S[5],S[6],S[7],S[0],S[1],S[2],S[3],S[4],i+3); + RND(S[4],S[5],S[6],S[7],S[0],S[1],S[2],S[3],i+4); + RND(S[3],S[4],S[5],S[6],S[7],S[0],S[1],S[2],i+5); + RND(S[2],S[3],S[4],S[5],S[6],S[7],S[0],S[1],i+6); + RND(S[1],S[2],S[3],S[4],S[5],S[6],S[7],S[0],i+7); + } + + #undef RND + + + + /* feedback */ + for (i = 0; i < 8; i++) { + md->state[i] = md->state[i] + S[i]; + } + + return 0; +} + + +/** + Initialize the hash state + @param md The hash state you wish to initialize + @return 0 if successful +*/ +int sha512_init(sha512_context * md) { + if (md == NULL) return 1; + + md->curlen = 0; + md->length = 0; + md->state[0] = UINT64_C(0x6a09e667f3bcc908); + md->state[1] = UINT64_C(0xbb67ae8584caa73b); + md->state[2] = UINT64_C(0x3c6ef372fe94f82b); + md->state[3] = UINT64_C(0xa54ff53a5f1d36f1); + md->state[4] = UINT64_C(0x510e527fade682d1); + md->state[5] = UINT64_C(0x9b05688c2b3e6c1f); + md->state[6] = UINT64_C(0x1f83d9abfb41bd6b); + md->state[7] = UINT64_C(0x5be0cd19137e2179); + + return 0; +} + +/** + Process a block of memory though the hash + @param md The hash state + @param in The data to hash + @param inlen The length of the data (octets) + @return 0 if successful +*/ +int sha512_update (sha512_context * md, const unsigned char *in, size_t inlen) +{ + size_t n; + size_t i; + int err; + if (md == NULL) return 1; + if (in == NULL) return 1; + if (md->curlen > sizeof(md->buf)) { + return 1; + } + while (inlen > 0) { + if (md->curlen == 0 && inlen >= 128) { + if ((err = sha512_compress (md, (unsigned char *)in)) != 0) { + return err; + } + md->length += 128 * 8; + in += 128; + inlen -= 128; + } else { + n = MIN(inlen, (128 - md->curlen)); + + for (i = 0; i < n; i++) { + md->buf[i + md->curlen] = in[i]; + } + + + md->curlen += n; + in += n; + inlen -= n; + if (md->curlen == 128) { + if ((err = sha512_compress (md, md->buf)) != 0) { + return err; + } + md->length += 8*128; + md->curlen = 0; + } + } + } + return 0; +} + +/** + Terminate the hash to get the digest + @param md The hash state + @param out [out] The destination of the hash (64 bytes) + @return 0 if successful +*/ + int sha512_final(sha512_context * md, unsigned char *out) + { + int i; + + if (md == NULL) return 1; + if (out == NULL) return 1; + + if (md->curlen >= sizeof(md->buf)) { + return 1; + } + + /* increase the length of the message */ + md->length += md->curlen * UINT64_C(8); + + /* append the '1' bit */ + md->buf[md->curlen++] = (unsigned char)0x80; + + /* if the length is currently above 112 bytes we append zeros + * then compress. Then we can fall back to padding zeros and length + * encoding like normal. + */ + if (md->curlen > 112) { + while (md->curlen < 128) { + md->buf[md->curlen++] = (unsigned char)0; + } + sha512_compress(md, md->buf); + md->curlen = 0; + } + + /* pad upto 120 bytes of zeroes + * note: that from 112 to 120 is the 64 MSB of the length. We assume that you won't hash + * > 2^64 bits of data... :-) + */ +while (md->curlen < 120) { + md->buf[md->curlen++] = (unsigned char)0; +} + + /* store length */ +STORE64H(md->length, md->buf+120); +sha512_compress(md, md->buf); + + /* copy output */ +for (i = 0; i < 8; i++) { + STORE64H(md->state[i], out+(8*i)); +} + +return 0; +} + +int sha512(const unsigned char *message, size_t message_len, unsigned char *out) +{ + sha512_context ctx; + int ret; + if ((ret = sha512_init(&ctx))) return ret; + if ((ret = sha512_update(&ctx, message, message_len))) return ret; + if ((ret = sha512_final(&ctx, out))) return ret; + return 0; +} diff --git a/lib/ed25519/src/sha512.h b/lib/ed25519/src/sha512.h new file mode 100644 index 0000000..e56b00e --- /dev/null +++ b/lib/ed25519/src/sha512.h @@ -0,0 +1,21 @@ +#ifndef SHA512_H +#define SHA512_H + +#include <stddef.h> + +#include "fixedint.h" + +/* state */ +typedef struct sha512_context_ { + uint64_t length, state[8]; + size_t curlen; + unsigned char buf[128]; +} sha512_context; + + +int sha512_init(sha512_context * md); +int sha512_final(sha512_context * md, unsigned char *out); +int sha512_update(sha512_context * md, const unsigned char *in, size_t inlen); +int sha512(const unsigned char *message, size_t message_len, unsigned char *out); + +#endif
\ No newline at end of file diff --git a/lib/ed25519/src/sign.c b/lib/ed25519/src/sign.c new file mode 100644 index 0000000..199a839 --- /dev/null +++ b/lib/ed25519/src/sign.c @@ -0,0 +1,31 @@ +#include "ed25519.h" +#include "sha512.h" +#include "ge.h" +#include "sc.h" + + +void ed25519_sign(unsigned char *signature, const unsigned char *message, size_t message_len, const unsigned char *public_key, const unsigned char *private_key) { + sha512_context hash; + unsigned char hram[64]; + unsigned char r[64]; + ge_p3 R; + + + sha512_init(&hash); + sha512_update(&hash, private_key + 32, 32); + sha512_update(&hash, message, message_len); + sha512_final(&hash, r); + + sc_reduce(r); + ge_scalarmult_base(&R, r); + ge_p3_tobytes(signature, &R); + + sha512_init(&hash); + sha512_update(&hash, signature, 32); + sha512_update(&hash, public_key, 32); + sha512_update(&hash, message, message_len); + sha512_final(&hash, hram); + + sc_reduce(hram); + sc_muladd(signature + 32, hram, private_key, r); +} diff --git a/lib/ed25519/src/verify.c b/lib/ed25519/src/verify.c new file mode 100644 index 0000000..32f988e --- /dev/null +++ b/lib/ed25519/src/verify.c @@ -0,0 +1,77 @@ +#include "ed25519.h" +#include "sha512.h" +#include "ge.h" +#include "sc.h" + +static int consttime_equal(const unsigned char *x, const unsigned char *y) { + unsigned char r = 0; + + r = x[0] ^ y[0]; + #define F(i) r |= x[i] ^ y[i] + 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); + #undef F + + return !r; +} + +int ed25519_verify(const unsigned char *signature, const unsigned char *message, size_t message_len, const unsigned char *public_key) { + unsigned char h[64]; + unsigned char checker[32]; + sha512_context hash; + ge_p3 A; + ge_p2 R; + + if (signature[63] & 224) { + return 0; + } + + if (ge_frombytes_negate_vartime(&A, public_key) != 0) { + return 0; + } + + sha512_init(&hash); + sha512_update(&hash, signature, 32); + sha512_update(&hash, public_key, 32); + sha512_update(&hash, message, message_len); + sha512_final(&hash, h); + + sc_reduce(h); + ge_double_scalarmult_vartime(&R, h, &A, signature + 32); + ge_tobytes(checker, &R); + + if (!consttime_equal(checker, signature)) { + return 0; + } + + return 1; +} diff --git a/lib/ed25519/test.c b/lib/ed25519/test.c new file mode 100644 index 0000000..e2159a9 --- /dev/null +++ b/lib/ed25519/test.c @@ -0,0 +1,150 @@ +#include <stdlib.h> +#include <stdio.h> +#include <string.h> +#include <time.h> + +/* #define ED25519_DLL */ +#include "src/ed25519.h" + +#include "src/ge.h" +#include "src/sc.h" + + +int main() { + unsigned char public_key[32], private_key[64], seed[32], scalar[32]; + unsigned char other_public_key[32], other_private_key[64]; + unsigned char shared_secret[32], other_shared_secret[32]; + unsigned char signature[64]; + + clock_t start; + clock_t end; + int i; + + const unsigned char message[] = "Hello, world!"; + const int message_len = strlen((char*) message); + + /* create a random seed, and a keypair out of that seed */ + ed25519_create_seed(seed); + ed25519_create_keypair(public_key, private_key, seed); + + /* create signature on the message with the keypair */ + ed25519_sign(signature, message, message_len, public_key, private_key); + + /* verify the signature */ + if (ed25519_verify(signature, message, message_len, public_key)) { + printf("valid signature\n"); + } else { + printf("invalid signature\n"); + } + + /* create scalar and add it to the keypair */ + ed25519_create_seed(scalar); + ed25519_add_scalar(public_key, private_key, scalar); + + /* create signature with the new keypair */ + ed25519_sign(signature, message, message_len, public_key, private_key); + + /* verify the signature with the new keypair */ + if (ed25519_verify(signature, message, message_len, public_key)) { + printf("valid signature\n"); + } else { + printf("invalid signature\n"); + } + + /* make a slight adjustment and verify again */ + signature[44] ^= 0x10; + if (ed25519_verify(signature, message, message_len, public_key)) { + printf("did not detect signature change\n"); + } else { + printf("correctly detected signature change\n"); + } + + /* generate two keypairs for testing key exchange */ + ed25519_create_seed(seed); + ed25519_create_keypair(public_key, private_key, seed); + ed25519_create_seed(seed); + ed25519_create_keypair(other_public_key, other_private_key, seed); + + /* create two shared secrets - from both perspectives - and check if they're equal */ + ed25519_key_exchange(shared_secret, other_public_key, private_key); + ed25519_key_exchange(other_shared_secret, public_key, other_private_key); + + for (i = 0; i < 32; ++i) { + if (shared_secret[i] != other_shared_secret[i]) { + printf("key exchange was incorrect\n"); + break; + } + } + + if (i == 32) { + printf("key exchange was correct\n"); + } + + /* test performance */ + printf("testing seed generation performance: "); + start = clock(); + for (i = 0; i < 10000; ++i) { + ed25519_create_seed(seed); + } + end = clock(); + + printf("%fus per seed\n", ((double) ((end - start) * 1000)) / CLOCKS_PER_SEC / i * 1000); + + + printf("testing key generation performance: "); + start = clock(); + for (i = 0; i < 10000; ++i) { + ed25519_create_keypair(public_key, private_key, seed); + } + end = clock(); + + printf("%fus per keypair\n", ((double) ((end - start) * 1000)) / CLOCKS_PER_SEC / i * 1000); + + printf("testing sign performance: "); + start = clock(); + for (i = 0; i < 10000; ++i) { + ed25519_sign(signature, message, message_len, public_key, private_key); + } + end = clock(); + + printf("%fus per signature\n", ((double) ((end - start) * 1000)) / CLOCKS_PER_SEC / i * 1000); + + printf("testing verify performance: "); + start = clock(); + for (i = 0; i < 10000; ++i) { + ed25519_verify(signature, message, message_len, public_key); + } + end = clock(); + + printf("%fus per signature\n", ((double) ((end - start) * 1000)) / CLOCKS_PER_SEC / i * 1000); + + + printf("testing keypair scalar addition performance: "); + start = clock(); + for (i = 0; i < 10000; ++i) { + ed25519_add_scalar(public_key, private_key, scalar); + } + end = clock(); + + printf("%fus per keypair\n", ((double) ((end - start) * 1000)) / CLOCKS_PER_SEC / i * 1000); + + printf("testing public key scalar addition performance: "); + start = clock(); + for (i = 0; i < 10000; ++i) { + ed25519_add_scalar(public_key, NULL, scalar); + } + end = clock(); + + printf("%fus per key\n", ((double) ((end - start) * 1000)) / CLOCKS_PER_SEC / i * 1000); + + printf("testing key exchange performance: "); + start = clock(); + for (i = 0; i < 10000; ++i) { + ed25519_key_exchange(shared_secret, other_public_key, private_key); + } + end = clock(); + + printf("%fus per shared secret\n", ((double) ((end - start) * 1000)) / CLOCKS_PER_SEC / i * 1000); + + return 0; +} |