Diff: math/headers/tfm.h

Revision:

2:527a66d0a1a9

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/math/headers/tfm.h	Mon Jun 09 14:57:54 2014 +0000
@@ -0,0 +1,585 @@
+/* TomsFastMath, a fast ISO C bignum library.
+ * 
+ * This project is meant to fill in where LibTomMath
+ * falls short.  That is speed ;-)
+ *
+ * This project is public domain and free for all purposes.
+ * 
+ * Tom St Denis, tomstdenis@gmail.com
+ */
+#ifndef TFM_H_
+#define TFM_H_
+
+#include <stdio.h>
+#include <string.h>
+#include <stdint.h>
+#include <stdlib.h>
+#include <ctype.h>
+#include <limits.h>
+
+/* Specific Config */
+#include "inc/minitls_config.h"
+#define TFM_ECC192 CRYPTO_ECC192 //Enable stuff needed for ECC 192 computations
+#define TFM_NO_ASM 1
+#define TFM_TIMING_RESISTANT //Slower but fixed computation times and lower stack usage
+#define FP_MAX_SIZE 2*(DIGIT_BIT+CRYPTO_MAX_KEY_SIZE)//ECC192 max
+
+/* */
+
+#ifndef MIN
+   #define MIN(x,y) ((x)<(y)?(x):(y))
+#endif
+
+#ifndef MAX
+   #define MAX(x,y) ((x)>(y)?(x):(y))
+#endif
+
+/* externally define this symbol to ignore the default settings, useful for changing the build from the make process */
+#ifndef TFM_ALREADY_SET
+
+/* do we want the large set of small multiplications ? 
+   Enable these if you are going to be doing a lot of small (<= 16 digit) multiplications say in ECC
+   Or if you're on a 64-bit machine doing RSA as a 1024-bit integer == 16 digits ;-)
+ */
+//#define TFM_SMALL_SET
+
+/* do we want huge code 
+   Enable these if you are doing 20, 24, 28, 32, 48, 64 digit multiplications (useful for RSA)
+   Less important on 64-bit machines as 32 digits == 2048 bits
+ */
+#if 0 //DG
+#if 0
+#define TFM_MUL3
+#define TFM_MUL4
+#define TFM_MUL6
+#define TFM_MUL7
+#define TFM_MUL8
+#define TFM_MUL9
+#define TFM_MUL12
+#define TFM_MUL17
+#endif
+#define TFM_MUL20
+#define TFM_MUL24
+#define TFM_MUL28
+#define TFM_MUL32
+#define TFM_MUL48
+#define TFM_MUL64
+#if 0
+#define TFM_SQR3
+#define TFM_SQR4
+#define TFM_SQR6
+#define TFM_SQR7
+#define TFM_SQR8
+#define TFM_SQR9
+#define TFM_SQR12
+#define TFM_SQR17
+#endif
+#define TFM_SQR20
+#define TFM_SQR24
+#define TFM_SQR28
+#define TFM_SQR32
+#define TFM_SQR48
+#define TFM_SQR64
+#endif
+
+/* do we want some overflow checks
+   Not required if you make sure your numbers are within range (e.g. by default a modulus for fp_exptmod() can only be upto 2048 bits long)
+ */
+/* #define TFM_CHECK */
+
+/* Is the target a P4 Prescott
+ */
+/* #define TFM_PRESCOTT */
+
+/* Do we want timing resistant fp_exptmod() ?
+ * This makes it slower but also timing invariant with respect to the exponent 
+ */
+//#define TFM_TIMING_RESISTANT
+
+#endif
+
+/* Max size of any number in bits.  Basically the largest size you will be multiplying
+ * should be half [or smaller] of FP_MAX_SIZE-four_digit
+ *
+ * You can externally define this or it defaults to 4096-bits [allowing multiplications upto 2048x2048 bits ]
+ */
+#ifndef FP_MAX_SIZE
+   #define FP_MAX_SIZE           (4096+(8*DIGIT_BIT))
+#endif
+
+/* will this lib work? */
+#if (CHAR_BIT & 7)
+   #error CHAR_BIT must be a multiple of eight.
+#endif
+#if FP_MAX_SIZE % CHAR_BIT
+   #error FP_MAX_SIZE must be a multiple of CHAR_BIT
+#endif
+
+/* autodetect x86-64 and make sure we are using 64-bit digits with x86-64 asm */
+#if defined(__x86_64__)
+   #if defined(TFM_X86) || defined(TFM_SSE2) || defined(TFM_ARM) 
+       #error x86-64 detected, x86-32/SSE2/ARM optimizations are not valid!
+   #endif
+   #if !defined(TFM_X86_64) && !defined(TFM_NO_ASM)
+      #define TFM_X86_64
+   #endif
+#endif
+#if defined(TFM_X86_64)
+    #if !defined(FP_64BIT)
+       #define FP_64BIT
+    #endif
+#endif
+
+/* try to detect x86-32 */
+#if defined(__i386__) && !defined(TFM_SSE2)
+   #if defined(TFM_X86_64) || defined(TFM_ARM) 
+       #error x86-32 detected, x86-64/ARM optimizations are not valid!
+   #endif
+   #if !defined(TFM_X86) && !defined(TFM_NO_ASM)
+      #define TFM_X86
+   #endif
+#endif
+
+/* make sure we're 32-bit for x86-32/sse/arm/ppc32 */
+#if (defined(TFM_X86) || defined(TFM_SSE2) || defined(TFM_ARM) || defined(TFM_PPC32)) && defined(FP_64BIT)
+   #warning x86-32, SSE2 and ARM, PPC32 optimizations require 32-bit digits (undefining)
+   #undef FP_64BIT
+#endif
+
+/* multi asms? */
+#ifdef TFM_X86
+   #define TFM_ASM
+#endif
+#ifdef TFM_X86_64
+   #ifdef TFM_ASM
+      #error TFM_ASM already defined!
+   #endif
+   #define TFM_ASM
+#endif
+#ifdef TFM_SSE2
+   #ifdef TFM_ASM
+      #error TFM_ASM already defined!
+   #endif
+   #define TFM_ASM
+#endif
+#ifdef TFM_ARM
+   #ifdef TFM_ASM
+      #error TFM_ASM already defined!
+   #endif
+   #define TFM_ASM
+#endif
+#ifdef TFM_PPC32
+   #ifdef TFM_ASM
+      #error TFM_ASM already defined!
+   #endif
+   #define TFM_ASM
+#endif
+#ifdef TFM_PPC64
+   #ifdef TFM_ASM
+      #error TFM_ASM already defined!
+   #endif
+   #define TFM_ASM
+#endif
+#ifdef TFM_AVR32
+   #ifdef TFM_ASM
+      #error TFM_ASM already defined!
+   #endif
+   #define TFM_ASM
+#endif
+
+/* we want no asm? */
+#ifdef TFM_NO_ASM
+   #undef TFM_X86
+   #undef TFM_X86_64
+   #undef TFM_SSE2
+   #undef TFM_ARM
+   #undef TFM_PPC32
+   #undef TFM_PPC64
+   #undef TFM_AVR32
+   #undef TFM_ASM   
+#endif
+
+/* ECC helpers */
+#ifdef TFM_ECC192
+   #ifdef FP_64BIT
+       #define TFM_MUL3
+       #define TFM_SQR3
+   #else
+       #define TFM_MUL6
+       #define TFM_SQR6
+   #endif
+#endif
+
+#ifdef TFM_ECC224
+   #ifdef FP_64BIT
+       #define TFM_MUL4
+       #define TFM_SQR4
+   #else
+       #define TFM_MUL7
+       #define TFM_SQR7
+   #endif
+#endif
+
+#ifdef TFM_ECC256
+   #ifdef FP_64BIT
+       #define TFM_MUL4
+       #define TFM_SQR4
+   #else
+       #define TFM_MUL8
+       #define TFM_SQR8
+   #endif
+#endif
+
+#ifdef TFM_ECC384
+   #ifdef FP_64BIT
+       #define TFM_MUL6
+       #define TFM_SQR6
+   #else
+       #define TFM_MUL12
+       #define TFM_SQR12
+   #endif
+#endif
+
+#ifdef TFM_ECC521
+   #ifdef FP_64BIT
+       #define TFM_MUL9
+       #define TFM_SQR9
+   #else
+       #define TFM_MUL17
+       #define TFM_SQR17
+   #endif
+#endif
+
+
+/* some default configurations.
+ */
+#if 0
+#if defined(FP_64BIT)
+   /* for GCC only on supported platforms */
+#ifndef CRYPT
+   typedef unsigned long ulong64;
+#endif
+   typedef ulong64            fp_digit;
+   typedef unsigned long      fp_word __attribute__ ((mode(TI)));
+#else
+   /* this is to make porting into LibTomCrypt easier :-) */
+#ifndef CRYPT
+   #if defined(_MSC_VER) || defined(__BORLANDC__) 
+      typedef unsigned __int64   ulong64;
+      typedef signed __int64     long64;
+   #else
+      typedef unsigned long long ulong64;
+      typedef signed long long   long64;
+   #endif
+#endif
+   typedef unsigned long      fp_digit;
+   typedef ulong64            fp_word;
+#endif
+#endif
+
+   typedef uint32_t     fp_digit;
+   typedef uint64_t     fp_word;
+
+/* # of digits this is */
+#define DIGIT_BIT  (int)((CHAR_BIT) * sizeof(fp_digit))
+#define FP_MASK    (fp_digit)(-1)
+#define FP_SIZE    (FP_MAX_SIZE/DIGIT_BIT)
+
+/* signs */
+#define FP_ZPOS     0
+#define FP_NEG      1
+
+/* return codes */
+#include "inc/minitls_errors.h"
+#define FP_OKAY     MINITLS_OK
+#define FP_VAL      MINITLS_ERR_PARAMETERS
+#define FP_MEM      MINITLS_ERR_MEMORY
+
+/* equalities */
+#define FP_LT        -1   /* less than */
+#define FP_EQ         0   /* equal to */
+#define FP_GT         1   /* greater than */
+
+/* replies */
+#define FP_YES        1   /* yes response */
+#define FP_NO         0   /* no response */
+
+/* a FP type */
+typedef struct {
+    fp_digit dp[FP_SIZE];
+    int      used, 
+             sign;
+} fp_int;
+
+/* functions */
+
+/* returns a TFM ident string useful for debugging... */
+const char *fp_ident(void);
+
+/* initialize [or zero] an fp int */
+#define fp_init(a)  (void)memset((a), 0, sizeof(fp_int))
+#define fp_zero(a)  fp_init(a)
+
+/* zero/even/odd ? */
+#define fp_iszero(a) (((a)->used == 0) ? FP_YES : FP_NO)
+#define fp_iseven(a) (((a)->used >= 0 && (((a)->dp[0] & 1) == 0)) ? FP_YES : FP_NO)
+#define fp_isodd(a)  (((a)->used > 0  && (((a)->dp[0] & 1) == 1)) ? FP_YES : FP_NO)
+
+/* set to a small digit */
+void fp_set(fp_int *a, fp_digit b);
+
+/* copy from a to b */
+#define fp_copy(a, b)      (void)(((a) != (b)) && memcpy((b), (a), sizeof(fp_int)))
+#define fp_init_copy(a, b) fp_copy(b, a)
+
+/* clamp digits */
+#define fp_clamp(a)   { while ((a)->used && (a)->dp[(a)->used-1] == 0) --((a)->used); (a)->sign = (a)->used ? (a)->sign : FP_ZPOS; }
+
+/* negate and absolute */
+#define fp_neg(a, b)  { fp_copy(a, b); (b)->sign ^= 1; fp_clamp(b); }
+#define fp_abs(a, b)  { fp_copy(a, b); (b)->sign  = 0; }
+
+/* right shift x digits */
+void fp_rshd(fp_int *a, int x);
+
+/* left shift x digits */
+void fp_lshd(fp_int *a, int x);
+
+/* signed comparison */
+int fp_cmp(fp_int *a, fp_int *b);
+
+/* unsigned comparison */
+int fp_cmp_mag(fp_int *a, fp_int *b);
+
+/* power of 2 operations */
+void fp_div_2d(fp_int *a, int b, fp_int *c, fp_int *d);
+void fp_mod_2d(fp_int *a, int b, fp_int *c);
+void fp_mul_2d(fp_int *a, int b, fp_int *c);
+void fp_2expt (fp_int *a, int b);
+void fp_mul_2(fp_int *a, fp_int *c);
+void fp_div_2(fp_int *a, fp_int *c);
+
+/* Counts the number of lsbs which are zero before the first zero bit */
+int fp_cnt_lsb(fp_int *a);
+
+/* c = a + b */
+void fp_add(fp_int *a, fp_int *b, fp_int *c);
+
+/* c = a - b */
+void fp_sub(fp_int *a, fp_int *b, fp_int *c);
+
+/* c = a * b */
+void fp_mul(fp_int *a, fp_int *b, fp_int *c);
+
+/* b = a*a  */
+void fp_sqr(fp_int *a, fp_int *b);
+
+/* a/b => cb + d == a */
+int fp_div(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
+
+/* c = a mod b, 0 <= c < b  */
+int fp_mod(fp_int *a, fp_int *b, fp_int *c);
+
+/* compare against a single digit */
+int fp_cmp_d(fp_int *a, fp_digit b);
+
+/* c = a + b */
+void fp_add_d(fp_int *a, fp_digit b, fp_int *c);
+
+/* c = a - b */
+void fp_sub_d(fp_int *a, fp_digit b, fp_int *c);
+
+/* c = a * b */
+void fp_mul_d(fp_int *a, fp_digit b, fp_int *c);
+
+/* a/b => cb + d == a */
+int fp_div_d(fp_int *a, fp_digit b, fp_int *c, fp_digit *d);
+
+/* c = a mod b, 0 <= c < b  */
+int fp_mod_d(fp_int *a, fp_digit b, fp_digit *c);
+
+/* ---> number theory <--- */
+/* d = a + b (mod c) */
+int fp_addmod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
+
+/* d = a - b (mod c) */
+int fp_submod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
+
+/* d = a * b (mod c) */
+int fp_mulmod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
+
+/* c = a * a (mod b) */
+int fp_sqrmod(fp_int *a, fp_int *b, fp_int *c);
+
+/* c = 1/a (mod b) */
+int fp_invmod(fp_int *a, fp_int *b, fp_int *c);
+
+/* c = (a, b) */
+void fp_gcd(fp_int *a, fp_int *b, fp_int *c);
+
+/* c = [a, b] */
+void fp_lcm(fp_int *a, fp_int *b, fp_int *c);
+
+/* setups the montgomery reduction */
+int fp_montgomery_setup(fp_int *a, fp_digit *mp);
+
+/* computes a = B**n mod b without division or multiplication useful for
+ * normalizing numbers in a Montgomery system.
+ */
+void fp_montgomery_calc_normalization(fp_int *a, fp_int *b);
+
+/* computes x/R == x (mod N) via Montgomery Reduction */
+void fp_montgomery_reduce(fp_int *a, fp_int *m, fp_digit mp);
+
+/* d = a**b (mod c) */
+int fp_exptmod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
+
+/* primality stuff */
+
+/* perform a Miller-Rabin test of a to the base b and store result in "result" */
+void fp_prime_miller_rabin (fp_int * a, fp_int * b, int *result);
+
+/* 256 trial divisions + 8 Miller-Rabins, returns FP_YES if probable prime  */
+int fp_isprime(fp_int *a);
+
+/* Primality generation flags */
+#define TFM_PRIME_BBS      0x0001 /* BBS style prime */
+#define TFM_PRIME_SAFE     0x0002 /* Safe prime (p-1)/2 == prime */
+#define TFM_PRIME_2MSB_OFF 0x0004 /* force 2nd MSB to 0 */
+#define TFM_PRIME_2MSB_ON  0x0008 /* force 2nd MSB to 1 */
+
+/* callback for fp_prime_random, should fill dst with random bytes and return how many read [upto len] */
+typedef int tfm_prime_callback(unsigned char *dst, int len, void *dat);
+
+#define fp_prime_random(a, t, size, bbs, cb, dat) fp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?TFM_PRIME_BBS:0, cb, dat)
+
+int fp_prime_random_ex(fp_int *a, int t, int size, int flags, tfm_prime_callback cb, void *dat);
+
+/* radix conersions */
+int fp_count_bits(fp_int *a);
+
+int fp_unsigned_bin_size(fp_int *a);
+void fp_read_unsigned_bin(fp_int *a, unsigned char *b, int c);
+void fp_to_unsigned_bin(fp_int *a, unsigned char *b);
+
+int fp_signed_bin_size(fp_int *a);
+void fp_read_signed_bin(fp_int *a, unsigned char *b, int c);
+void fp_to_signed_bin(fp_int *a, unsigned char *b);
+
+int fp_read_radix(fp_int *a, char *str, int radix);
+int fp_toradix(fp_int *a, char *str, int radix);
+int fp_toradix_n(fp_int * a, char *str, int radix, int maxlen);
+
+
+/* VARIOUS LOW LEVEL STUFFS */
+void s_fp_add(fp_int *a, fp_int *b, fp_int *c);
+void s_fp_sub(fp_int *a, fp_int *b, fp_int *c);
+void fp_reverse(unsigned char *s, int len);
+
+void fp_mul_comba(fp_int *A, fp_int *B, fp_int *C);
+
+#ifdef TFM_SMALL_SET
+void fp_mul_comba_small(fp_int *A, fp_int *B, fp_int *C);
+#endif
+
+#ifdef TFM_MUL3
+void fp_mul_comba3(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL4
+void fp_mul_comba4(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL6
+void fp_mul_comba6(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL7
+void fp_mul_comba7(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL8
+void fp_mul_comba8(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL9
+void fp_mul_comba9(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL12
+void fp_mul_comba12(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL17
+void fp_mul_comba17(fp_int *A, fp_int *B, fp_int *C);
+#endif
+
+#ifdef TFM_MUL20
+void fp_mul_comba20(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL24
+void fp_mul_comba24(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL28
+void fp_mul_comba28(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL32
+void fp_mul_comba32(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL48
+void fp_mul_comba48(fp_int *A, fp_int *B, fp_int *C);
+#endif
+#ifdef TFM_MUL64
+void fp_mul_comba64(fp_int *A, fp_int *B, fp_int *C);
+#endif
+
+void fp_sqr_comba(fp_int *A, fp_int *B);
+
+#ifdef TFM_SMALL_SET
+void fp_sqr_comba_small(fp_int *A, fp_int *B);
+#endif
+
+#ifdef TFM_SQR3
+void fp_sqr_comba3(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR4
+void fp_sqr_comba4(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR6
+void fp_sqr_comba6(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR7
+void fp_sqr_comba7(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR8
+void fp_sqr_comba8(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR9
+void fp_sqr_comba9(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR12
+void fp_sqr_comba12(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR17
+void fp_sqr_comba17(fp_int *A, fp_int *B);
+#endif
+
+#ifdef TFM_SQR20
+void fp_sqr_comba20(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR24
+void fp_sqr_comba24(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR28
+void fp_sqr_comba28(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR32
+void fp_sqr_comba32(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR48
+void fp_sqr_comba48(fp_int *A, fp_int *B);
+#endif
+#ifdef TFM_SQR64
+void fp_sqr_comba64(fp_int *A, fp_int *B);
+#endif
+extern const char *fp_s_rmap;
+
+#endif
+
+
+/* $Source: /cvs/libtom/tomsfastmath/src/headers/tfm.h,v $ */
+/* $Revision: 1.3 $ */
+/* $Date: 2007/02/27 02:38:44 $ */