From 2945dea3e2360b57a86e2fab678dc87c87322e99 Mon Sep 17 00:00:00 2001 From: Tom St Denis Date: Mon, 29 May 2006 23:12:56 +0000 Subject: [PATCH] added libtomcrypt-1.12 --- Doxyfile | 2 +- TODO | 3 + changes | 21 +- crypt.tex | 47 +- demos/test.c | 2 +- doc/crypt.pdf | Bin 629948 -> 646735 bytes makefile | 24 +- makefile.icc | 22 +- makefile.msvc | 22 +- makefile.shared | 24 +- mess.sh | 2 +- src/headers/tomcrypt.h | 4 +- src/headers/tomcrypt_cfg.h | 32 +- src/headers/tomcrypt_custom.h | 3 + src/headers/tomcrypt_math.h | 7 + src/headers/tomcrypt_pk.h | 17 +- src/math/fp/ltc_ecc_fp_mulmod.c | 936 ++++++++++++++++++ src/math/gmp_desc.c | 38 +- src/math/ltm_desc.c | 12 + src/math/tfm_desc.c | 11 + src/misc/crypt/crypt.c | 4 +- src/pk/asn1/der/boolean/der_decode_boolean.c | 47 + src/pk/asn1/der/boolean/der_encode_boolean.c | 50 + src/pk/asn1/der/boolean/der_length_boolean.c | 35 + src/pk/asn1/der/integer/der_encode_integer.c | 4 +- src/pk/asn1/der/integer/der_length_integer.c | 1 + .../der_decode_object_identifier.c | 18 +- .../der_encode_object_identifier.c | 25 +- .../der_length_object_identifier.c | 21 +- .../der/sequence/der_decode_sequence_ex.c | 10 + .../der/sequence/der_decode_sequence_flexi.c | 14 + .../der/sequence/der_decode_sequence_multi.c | 2 + .../der/sequence/der_encode_sequence_ex.c | 16 + .../der/sequence/der_encode_sequence_multi.c | 2 + .../asn1/der/sequence/der_length_sequence.c | 7 + src/pk/asn1/der/set/der_encode_set.c | 1 + src/pk/ecc/ltc_ecc_projective_add_point.c | 2 +- src/pk/ecc/ltc_ecc_projective_dbl_point.c | 2 +- testprof/der_tests.c | 2 + testprof/ecc_test.c | 6 +- 40 files changed, 1376 insertions(+), 122 deletions(-) create mode 100644 src/math/fp/ltc_ecc_fp_mulmod.c create mode 100644 src/pk/asn1/der/boolean/der_decode_boolean.c create mode 100644 src/pk/asn1/der/boolean/der_encode_boolean.c create mode 100644 src/pk/asn1/der/boolean/der_length_boolean.c diff --git a/Doxyfile b/Doxyfile index 818ddfa..f172aa1 100644 --- a/Doxyfile +++ b/Doxyfile @@ -23,7 +23,7 @@ PROJECT_NAME = LibTomCrypt # This could be handy for archiving the generated documentation or # if some version control system is used. -PROJECT_NUMBER = 1.11 +PROJECT_NUMBER = 1.12 # The OUTPUT_DIRECTORY tag is used to specify the (relative or absolute) # base path where the generated documentation will be put. diff --git a/TODO b/TODO index 68af0ab..253469f 100644 --- a/TODO +++ b/TODO @@ -1,3 +1,6 @@ +- document new math function count_lsb_bits +- add BOOLEAN type to the ASN world + - ECC fixed point accelerator - look into X9.63 support [in addition to the LTC style ecc_encrypt_key() not replacing] diff --git a/changes b/changes index 88c6f3a..0222e1b 100644 --- a/changes +++ b/changes @@ -1,3 +1,20 @@ +May 29th, 2006 +v1.12 -- Fixed OID encoder/decoder/length to properly handle the first two parts of an OID, matches 2002 X.690 now. + -- [Wesley Shields] Allows both GMP/LTM and TFM to be defined now. + -- [Wesley Shields] GMP pluggin is cleaner now and doesn't use deprecated symbols. Yipee + -- Added count_lsb_bits to get the number of leading LSB zero bits there are. + -- Fixed a bug in the INTEGER encoders for values of -(256**k)/2 + -- Added BOOLEAN type to ASN.1 thingy-ma-do-hicky + -- Testprof doesn't strictly require GMP ... oops [Nils Durner] + -- Added LTC_CALL and LTC_EXPORT macros in tomcrypt_cfg.h to support various calling and linker conventions + (Thanks to John Kirk from Demonware) + -- In what has to be the best thing since sliced bread I bring you MECC_FP which is the fixed point + ECC point multiplier. It's fast, it's sexy and what's more it's hella fast [did I mention it's fast?] + You can tune it somewhat with FP_LUT (default to 8) for look-up width. + Read section 8.2 of the manual for more info. + It is disabled by default, you'll have to build LTC with it defined to get it. + -- Fixed bug in ecc_test.c (from testprof) to include the 521 [not 512] bit curve. :-) + April 4th, 2006 v1.11 -- Removed printf's from lrw_test ... whoops -- lrw_process now checks the return of the cipher ecb encrypt/decrypt calls @@ -1436,6 +1453,6 @@ v0.02 -- Changed RC5 to only allow 12 to 24 rounds v0.01 -- We will call this the first version. /* $Source: /cvs/libtom/libtomcrypt/changes,v $ */ -/* $Revision: 1.194 $ */ -/* $Date: 2006/04/05 02:51:41 $ */ +/* $Revision: 1.206 $ */ +/* $Date: 2006/05/29 11:21:25 $ */ diff --git a/crypt.tex b/crypt.tex index a3c61ac..78537c0 100644 --- a/crypt.tex +++ b/crypt.tex @@ -47,7 +47,7 @@ \def\gap{\vspace{0.5ex}} \makeindex \begin{document} -\title{LibTomCrypt \\ Version 1.11} +\title{LibTomCrypt \\ Version 1.12} \author{Tom St Denis \\ \\ tomstdenis@gmail.com \\ @@ -2909,6 +2909,40 @@ provided are very close to $p$ that is $\vert \vert \phi(\beta) \vert \vert \app range in order from $\approx 2^{192}$ points to $\approx 2^{521}$. According to the source document any key size greater than or equal to 256-bits is sufficient for long term security. +\section{Fixed Point Optimizations} +\index{Fixed Point ECC} +As of v1.12 of LibTomCrypt, support for Fixed Point ECC point multiplication has been added. It is a generic optimization that is +supported by any conformant math plugin. It is enabled by defining \textbf{MECC\_FP} during the build, such as + +\begin{verbatim} +CFLAGS="-DTFM_DESC -DMECC_FP" make +\end{verbatim} + +which will build LTC using the TFM math library and enabling this new feature. The feature is not enabled by default as it is \textbf{NOT} thread +safe (by default). It supports the LTC locking macros (such as by enabling LTC\_PTHREAD), but by default is not locked. + +\index{FP\_ENTRIES} +The optimization works by using a Fixed Point point multiplier on any base point you use twice or more in a short period of time. It has a limited size +cache (of FP\_ENTRIES entries) which it uses to hold recent bases passed to ltc\_ecc\_mulmod(). Any base detected to be used twice is sent through the +pre--computation phase and then the fixed point algorithm can be used. For example, if you use a NIST base point twice in a row, the 2nd and +all subsequence point multiplications with that point will use the faster algorithm. + +\index{FP\_LUT} +The optimization uses a window on the multiplicand of FP\_LUT bits (default: 8, min: 2, max: 12) and controls the memory/time tradeoff. The larger the +value the faster the algorithm will be but the more memory it will take. The memory usage is $3 \cdot 2^{FP\_LUT}$ integers which by default +with TFM amounts to about 400kB of memory. Tuning TFM (by changing FP\_SIZE) can decrease the usage by a fair amount. Memory is only used by a cache entry +if it is active. Both FP\_ENTRIES and FP\_LUT are definable on the command line if you wish to override them. For instance, + +\begin{verbatim} +CFLAGS="-DTFM_DESC -DMECC_FP -DFP_ENTRIES=8 -DFP_LUT=6" make +\end{verbatim} + +\begin{flushleft} +would define a window of 6 bits and limit the cache to 8 entries. Generally it's better to first tune TFM by adjusting FP\_SIZE (from tfm.h). It defaults +to 4096 bits (512 bytes) which is way more than what is required by ECC. At most, you need 1152 bits to accommodate ECC--521. If you're only using (say) +ECC--256 you will only need 576 bits, which would reduce the memory usage by 700\%. +\end{flushleft} + \section{Key Format} LibTomCrypt uses it's own format for ECC public and private keys. While ANSI X9.62 partially specifies key formats (it covers public keys) it does it in a less than ideally simple manner. In the case of LibTomCrypt it is meant \textbf{solely} for NIST $GF(p)$ curves. The format of the keys is as follows: @@ -3320,6 +3354,7 @@ LTC_SET_ASN1(sequence, x++, LTC_ASN1_NULL, NULL, 0); \begin{tabular}{|l|l|} \hline \textbf{Definition} & \textbf{ASN.1 Type} \\ \hline LTC\_ASN1\_EOL & End of a ASN.1 list structure. \\ +\hline LTC\_ASN1\_BOOLEAN & BOOLEAN type \\ \hline LTC\_ASN1\_INTEGER & INTEGER (uses mp\_int) \\ \hline LTC\_ASN1\_SHORT\_INTEGER & INTEGER (32--bit using unsigned long) \\ \hline LTC\_ASN1\_BIT\_STRING & BIT STRING (one bit per char) \\ @@ -4825,6 +4860,12 @@ typedef struct { */ int (*count_bits)(void * a); + /** Count the number of LSB bits which are zero + @param a The integer to count + @return The number of contiguous zero LSB bits + */ + int (*count_lsb_bits)(void *a); + /** Compute a power of two @param a The integer to store the power in @param n The power of two you want to store (a = 2^n) @@ -5190,5 +5231,5 @@ Since the function is given the entire RSA key (for private keys only) CRT is po \end{document} % $Source: /cvs/libtom/libtomcrypt/crypt.tex,v $ -% $Revision: 1.67 $ -% $Date: 2006/03/31 14:16:09 $ +% $Revision: 1.71 $ +% $Date: 2006/05/29 11:19:08 $ diff --git a/demos/test.c b/demos/test.c index a53271b..54de890 100644 --- a/demos/test.c +++ b/demos/test.c @@ -24,7 +24,7 @@ int main(void) printf("\nmac_test......"); fflush(stdout); x = mac_test(); printf(x ? "failed" : "passed");if (x) exit(EXIT_FAILURE); printf("\npkcs_1_test..."); fflush(stdout); x = pkcs_1_test(); printf(x ? "failed" : "passed");if (x) exit(EXIT_FAILURE); printf("\nrsa_test......"); fflush(stdout); x = rsa_test(); printf(x ? "failed" : "passed");if (x) exit(EXIT_FAILURE); - printf("\necc_test......"); fflush(stdout); x = ecc_tests(); printf(x ? "failed" : "passed");if (x) exit(EXIT_FAILURE); + printf("\necc_test......"); fflush(stdout); x = ecc_tests(); printf(x ? "failed" : "passed");if (x) exit(EXIT_FAILURE); printf("\ndsa_test......"); fflush(stdout); x = dsa_test(); printf(x ? "failed" : "passed");if (x) exit(EXIT_FAILURE); printf("\nkatja_test...."); fflush(stdout); x = katja_test(); printf(x ? 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zV%-o((-symdYlwee8a`GlQaA3$mTG|+z5;bq_O`*9IL?f!{ssO-I0-HjxFNDc^q!1 zWFaGq92Q3VEo2mpGiQ3&4Sa7IfidwSG?rdt;LNC!F|AlY z(f$CTI^11VM|9&4`5`4-1tb%Mz?hFXkQ-;_0AO^0tU#Q^SVzE^38|54*@zn-FVImI z@oUTk!U0Ui%_795S7g{MKzK)W4tq}eBsThAX$p`}Gup}2FJz$mbYOw)PMp9LB1BF^ zLTBwro`lZE5r-;}43R%h#4;yC0K;cKG!Ys0iD(#Nb86_|ps@<2+abxuz?2eGrG~$B z58vwJOV!u+IH%6fmITdD9zNXOZ+c6+;wEJ#HC/dev/null 2>/dev/null; then exit 0; else echo "$1 shouldn't be here" ; exit 1; fi +if cvs log $1 >/dev/null 2>/dev/null; then exit 0; else echo "$1 shouldn't be here, removed"; rm -f $1 ; fi diff --git a/src/headers/tomcrypt.h b/src/headers/tomcrypt.h index e05fc7d..972fe56 100644 --- a/src/headers/tomcrypt.h +++ b/src/headers/tomcrypt.h @@ -16,8 +16,8 @@ extern "C" { #endif /* version */ -#define CRYPT 0x0111 -#define SCRYPT "1.11" +#define CRYPT 0x0112 +#define SCRYPT "1.12" /* max size of either a cipher/hash block or symmetric key [largest of the two] */ #define MAXBLOCKSIZE 128 diff --git a/src/headers/tomcrypt_cfg.h b/src/headers/tomcrypt_cfg.h index f592cf2..059ab11 100644 --- a/src/headers/tomcrypt_cfg.h +++ b/src/headers/tomcrypt_cfg.h @@ -7,22 +7,34 @@ #ifndef TOMCRYPT_CFG_H #define TOMCRYPT_CFG_H -/* you can change how memory allocation works ... */ -void *XMALLOC(size_t n); -void *XREALLOC(void *p, size_t n); -void *XCALLOC(size_t n, size_t s); -void XFREE(void *p); +#if defined(_WIN32) || defined(_MSC_VER) +#define LTC_CALL __cdecl +#else +#ifndef LTC_CALL + #define LTC_CALL +#endif +#endif -void XQSORT(void *base, size_t nmemb, size_t size, int(*compar)(const void *, const void *)); +#ifndef LTC_EXPORT +#define LTC_EXPORT +#endif + +/* you can change how memory allocation works ... */ +LTC_EXPORT void * LTC_CALL XMALLOC(size_t n); +LTC_EXPORT void * LTC_CALL XREALLOC(void *p, size_t n); +LTC_EXPORT void * LTC_CALL XCALLOC(size_t n, size_t s); +LTC_EXPORT void LTC_CALL XFREE(void *p); + +LTC_EXPORT void LTC_CALL XQSORT(void *base, size_t nmemb, size_t size, int(*compar)(const void *, const void *)); /* change the clock function too */ -clock_t XCLOCK(void); +LTC_EXPORT clock_t LTC_CALL XCLOCK(void); /* various other functions */ -void *XMEMCPY(void *dest, const void *src, size_t n); -int XMEMCMP(const void *s1, const void *s2, size_t n); -void *XMEMSET(void *s, int c, size_t n); +LTC_EXPORT void * LTC_CALL XMEMCPY(void *dest, const void *src, size_t n); +LTC_EXPORT int LTC_CALL XMEMCMP(const void *s1, const void *s2, size_t n); +LTC_EXPORT void * LTC_CALL XMEMSET(void *s, int c, size_t n); /* type of argument checking, 0=default, 1=fatal and 2=error+continue, 3=nothing */ #ifndef ARGTYPE diff --git a/src/headers/tomcrypt_custom.h b/src/headers/tomcrypt_custom.h index 00ca3c2..8790160 100644 --- a/src/headers/tomcrypt_custom.h +++ b/src/headers/tomcrypt_custom.h @@ -269,6 +269,9 @@ #define MECC_ACCEL #endif +/* do we want fixed point ECC */ +/* #define MECC_FP */ + /* Timing Resistant? */ /* #define LTC_ECC_TIMING_RESISTANT */ diff --git a/src/headers/tomcrypt_math.h b/src/headers/tomcrypt_math.h index 630c961..c36f67c 100644 --- a/src/headers/tomcrypt_math.h +++ b/src/headers/tomcrypt_math.h @@ -108,6 +108,12 @@ typedef struct { */ int (*count_bits)(void * a); + /** Count the number of LSB bits which are zero + @param a The integer to count + @return The number of contiguous zero LSB bits + */ + int (*count_lsb_bits)(void *a); + /** Compute a power of two @param a The integer to store the power in @param n The power of two you want to store (a = 2^n) @@ -424,6 +430,7 @@ extern const ltc_math_descriptor gmp_desc; #define mp_cmp(a, b) ltc_mp.compare(a, b) #define mp_cmp_d(a, b) ltc_mp.compare_d(a, b) #define mp_count_bits(a) ltc_mp.count_bits(a) +#define mp_cnt_lsb(a) ltc_mp.count_lsb_bits(a) #define mp_2expt(a, b) ltc_mp.twoexpt(a, b) #define mp_read_radix(a, b, c) ltc_mp.read_radix(a, b, c) diff --git a/src/headers/tomcrypt_pk.h b/src/headers/tomcrypt_pk.h index 8e401af..ae9e4d6 100644 --- a/src/headers/tomcrypt_pk.h +++ b/src/headers/tomcrypt_pk.h @@ -226,9 +226,8 @@ ecc_point *ltc_ecc_new_point(void); void ltc_ecc_del_point(ecc_point *p); int ltc_ecc_is_valid_idx(int n); - /* point ops (mp == montgomery digit) */ -#ifndef MECC_ACCEL +#if !defined(MECC_ACCEL) || defined(LTM_DESC) || defined(GMP_DESC) /* R = 2P */ int ltc_ecc_projective_dbl_point(ecc_point *P, ecc_point *R, void *modulus, void *mp); @@ -236,6 +235,13 @@ int ltc_ecc_projective_dbl_point(ecc_point *P, ecc_point *R, void *modulus, void int ltc_ecc_projective_add_point(ecc_point *P, ecc_point *Q, ecc_point *R, void *modulus, void *mp); #endif +#if defined(MECC_FP) +int ltc_ecc_fp_mulmod(void *k, ecc_point *G, ecc_point *R, void *modulus, int map); +int ltc_ecc_fp_save_state(unsigned char **out, unsigned long *outlen); +int ltc_ecc_fp_restore_state(unsigned char *in, unsigned long inlen); +void ltc_ecc_fp_free(void); +#endif + /* R = kG */ int ltc_ecc_mulmod(void *k, ecc_point *G, ecc_point *R, void *modulus, int map); @@ -318,6 +324,7 @@ int dsa_shared_secret(void *private_key, void *base, enum { LTC_ASN1_EOL, + LTC_ASN1_BOOLEAN, LTC_ASN1_INTEGER, LTC_ASN1_SHORT_INTEGER, LTC_ASN1_BIT_STRING, @@ -389,6 +396,12 @@ int der_decode_sequence_flexi(const unsigned char *in, unsigned long *inlen, lt void der_free_sequence_flexi(ltc_asn1_list *list); void der_sequence_free(ltc_asn1_list *in); +/* BOOLEAN */ +int der_length_boolean(unsigned long *outlen); +int der_encode_boolean(int in, + unsigned char *out, unsigned long *outlen); +int der_decode_boolean(const unsigned char *in, unsigned long inlen, + int *out); /* INTEGER */ int der_encode_integer(void *num, unsigned char *out, unsigned long *outlen); int der_decode_integer(const unsigned char *in, unsigned long inlen, void *num); diff --git a/src/math/fp/ltc_ecc_fp_mulmod.c b/src/math/fp/ltc_ecc_fp_mulmod.c new file mode 100644 index 0000000..52bc4b7 --- /dev/null +++ b/src/math/fp/ltc_ecc_fp_mulmod.c @@ -0,0 +1,936 @@ +/* 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://libtomcrypt.com + */ +#include "tomcrypt.h" + +/** + @file ltc_ecc_fp_mulmod.c + ECC Crypto, Tom St Denis +*/ + +#if defined(MECC) && defined(MECC_FP) +#include + +/* number of entries in the cache */ +#ifndef FP_ENTRIES +#define FP_ENTRIES 16 +#endif + +/* number of bits in LUT */ +#ifndef FP_LUT +#define FP_LUT 8U +#endif + +#if (FP_LUT > 12) || (FP_LUT < 2) + #error FP_LUT must be between 2 and 12 inclusively +#endif + +/** Our FP cache */ +static struct { + ecc_point *g, /* cached COPY of base point */ + *LUT[1< 6 + { 1, 0, 0 }, { 2, 1, 64 }, { 2, 2, 64 }, { 3, 3, 64 }, { 2, 4, 64 }, { 3, 5, 64 }, { 3, 6, 64 }, { 4, 7, 64 }, + { 2, 8, 64 }, { 3, 9, 64 }, { 3, 10, 64 }, { 4, 11, 64 }, { 3, 12, 64 }, { 4, 13, 64 }, { 4, 14, 64 }, { 5, 15, 64 }, + { 2, 16, 64 }, { 3, 17, 64 }, { 3, 18, 64 }, { 4, 19, 64 }, { 3, 20, 64 }, { 4, 21, 64 }, { 4, 22, 64 }, { 5, 23, 64 }, + { 3, 24, 64 }, { 4, 25, 64 }, { 4, 26, 64 }, { 5, 27, 64 }, { 4, 28, 64 }, { 5, 29, 64 }, { 5, 30, 64 }, { 6, 31, 64 }, + { 2, 32, 64 }, { 3, 33, 64 }, { 3, 34, 64 }, { 4, 35, 64 }, { 3, 36, 64 }, { 4, 37, 64 }, { 4, 38, 64 }, { 5, 39, 64 }, + { 3, 40, 64 }, { 4, 41, 64 }, { 4, 42, 64 }, { 5, 43, 64 }, { 4, 44, 64 }, { 5, 45, 64 }, { 5, 46, 64 }, { 6, 47, 64 }, + { 3, 48, 64 }, { 4, 49, 64 }, { 4, 50, 64 }, { 5, 51, 64 }, { 4, 52, 64 }, { 5, 53, 64 }, { 5, 54, 64 }, { 6, 55, 64 }, + { 4, 56, 64 }, { 5, 57, 64 }, { 5, 58, 64 }, { 6, 59, 64 }, { 5, 60, 64 }, { 6, 61, 64 }, { 6, 62, 64 }, { 7, 63, 64 }, +#if FP_LUT > 7 + { 1, 0, 0 }, { 2, 1, 128 }, { 2, 2, 128 }, { 3, 3, 128 }, { 2, 4, 128 }, { 3, 5, 128 }, { 3, 6, 128 }, { 4, 7, 128 }, + { 2, 8, 128 }, { 3, 9, 128 }, { 3, 10, 128 }, { 4, 11, 128 }, { 3, 12, 128 }, { 4, 13, 128 }, { 4, 14, 128 }, { 5, 15, 128 }, + { 2, 16, 128 }, { 3, 17, 128 }, { 3, 18, 128 }, { 4, 19, 128 }, { 3, 20, 128 }, { 4, 21, 128 }, { 4, 22, 128 }, { 5, 23, 128 }, + { 3, 24, 128 }, { 4, 25, 128 }, { 4, 26, 128 }, { 5, 27, 128 }, { 4, 28, 128 }, { 5, 29, 128 }, { 5, 30, 128 }, { 6, 31, 128 }, + { 2, 32, 128 }, { 3, 33, 128 }, { 3, 34, 128 }, { 4, 35, 128 }, { 3, 36, 128 }, { 4, 37, 128 }, { 4, 38, 128 }, { 5, 39, 128 }, + { 3, 40, 128 }, { 4, 41, 128 }, { 4, 42, 128 }, { 5, 43, 128 }, { 4, 44, 128 }, { 5, 45, 128 }, { 5, 46, 128 }, { 6, 47, 128 }, + { 3, 48, 128 }, { 4, 49, 128 }, { 4, 50, 128 }, { 5, 51, 128 }, { 4, 52, 128 }, { 5, 53, 128 }, { 5, 54, 128 }, { 6, 55, 128 }, + { 4, 56, 128 }, { 5, 57, 128 }, { 5, 58, 128 }, { 6, 59, 128 }, { 5, 60, 128 }, { 6, 61, 128 }, { 6, 62, 128 }, { 7, 63, 128 }, + { 2, 64, 128 }, { 3, 65, 128 }, { 3, 66, 128 }, { 4, 67, 128 }, { 3, 68, 128 }, { 4, 69, 128 }, { 4, 70, 128 }, { 5, 71, 128 }, + { 3, 72, 128 }, { 4, 73, 128 }, { 4, 74, 128 }, { 5, 75, 128 }, { 4, 76, 128 }, { 5, 77, 128 }, { 5, 78, 128 }, { 6, 79, 128 }, + { 3, 80, 128 }, { 4, 81, 128 }, { 4, 82, 128 }, { 5, 83, 128 }, { 4, 84, 128 }, { 5, 85, 128 }, { 5, 86, 128 }, { 6, 87, 128 }, + { 4, 88, 128 }, { 5, 89, 128 }, { 5, 90, 128 }, { 6, 91, 128 }, { 5, 92, 128 }, { 6, 93, 128 }, { 6, 94, 128 }, { 7, 95, 128 }, + { 3, 96, 128 }, { 4, 97, 128 }, { 4, 98, 128 }, { 5, 99, 128 }, { 4, 100, 128 }, { 5, 101, 128 }, { 5, 102, 128 }, { 6, 103, 128 }, + { 4, 104, 128 }, { 5, 105, 128 }, { 5, 106, 128 }, { 6, 107, 128 }, { 5, 108, 128 }, { 6, 109, 128 }, { 6, 110, 128 }, { 7, 111, 128 }, + { 4, 112, 128 }, { 5, 113, 128 }, { 5, 114, 128 }, { 6, 115, 128 }, { 5, 116, 128 }, { 6, 117, 128 }, { 6, 118, 128 }, { 7, 119, 128 }, + { 5, 120, 128 }, { 6, 121, 128 }, { 6, 122, 128 }, { 7, 123, 128 }, { 6, 124, 128 }, { 7, 125, 128 }, { 7, 126, 128 }, { 8, 127, 128 }, +#if FP_LUT > 8 + { 1, 0, 0 }, { 2, 1, 256 }, { 2, 2, 256 }, { 3, 3, 256 }, { 2, 4, 256 }, { 3, 5, 256 }, { 3, 6, 256 }, { 4, 7, 256 }, + { 2, 8, 256 }, { 3, 9, 256 }, { 3, 10, 256 }, { 4, 11, 256 }, { 3, 12, 256 }, { 4, 13, 256 }, { 4, 14, 256 }, { 5, 15, 256 }, + { 2, 16, 256 }, { 3, 17, 256 }, { 3, 18, 256 }, { 4, 19, 256 }, { 3, 20, 256 }, { 4, 21, 256 }, { 4, 22, 256 }, { 5, 23, 256 }, + { 3, 24, 256 }, { 4, 25, 256 }, { 4, 26, 256 }, { 5, 27, 256 }, { 4, 28, 256 }, { 5, 29, 256 }, { 5, 30, 256 }, { 6, 31, 256 }, + { 2, 32, 256 }, { 3, 33, 256 }, { 3, 34, 256 }, { 4, 35, 256 }, { 3, 36, 256 }, { 4, 37, 256 }, { 4, 38, 256 }, { 5, 39, 256 }, + { 3, 40, 256 }, { 4, 41, 256 }, { 4, 42, 256 }, { 5, 43, 256 }, { 4, 44, 256 }, { 5, 45, 256 }, { 5, 46, 256 }, { 6, 47, 256 }, + { 3, 48, 256 }, { 4, 49, 256 }, { 4, 50, 256 }, { 5, 51, 256 }, { 4, 52, 256 }, { 5, 53, 256 }, { 5, 54, 256 }, { 6, 55, 256 }, + { 4, 56, 256 }, { 5, 57, 256 }, { 5, 58, 256 }, { 6, 59, 256 }, { 5, 60, 256 }, { 6, 61, 256 }, { 6, 62, 256 }, { 7, 63, 256 }, + { 2, 64, 256 }, { 3, 65, 256 }, { 3, 66, 256 }, { 4, 67, 256 }, { 3, 68, 256 }, { 4, 69, 256 }, { 4, 70, 256 }, { 5, 71, 256 }, + { 3, 72, 256 }, { 4, 73, 256 }, { 4, 74, 256 }, { 5, 75, 256 }, { 4, 76, 256 }, { 5, 77, 256 }, { 5, 78, 256 }, { 6, 79, 256 }, + { 3, 80, 256 }, { 4, 81, 256 }, { 4, 82, 256 }, { 5, 83, 256 }, { 4, 84, 256 }, { 5, 85, 256 }, { 5, 86, 256 }, { 6, 87, 256 }, + { 4, 88, 256 }, { 5, 89, 256 }, { 5, 90, 256 }, { 6, 91, 256 }, { 5, 92, 256 }, { 6, 93, 256 }, { 6, 94, 256 }, { 7, 95, 256 }, + { 3, 96, 256 }, { 4, 97, 256 }, { 4, 98, 256 }, { 5, 99, 256 }, { 4, 100, 256 }, { 5, 101, 256 }, { 5, 102, 256 }, { 6, 103, 256 }, + { 4, 104, 256 }, { 5, 105, 256 }, { 5, 106, 256 }, { 6, 107, 256 }, { 5, 108, 256 }, { 6, 109, 256 }, { 6, 110, 256 }, { 7, 111, 256 }, + { 4, 112, 256 }, { 5, 113, 256 }, { 5, 114, 256 }, { 6, 115, 256 }, { 5, 116, 256 }, { 6, 117, 256 }, { 6, 118, 256 }, { 7, 119, 256 }, + { 5, 120, 256 }, { 6, 121, 256 }, { 6, 122, 256 }, { 7, 123, 256 }, { 6, 124, 256 }, { 7, 125, 256 }, { 7, 126, 256 }, { 8, 127, 256 }, + { 2, 128, 256 }, { 3, 129, 256 }, { 3, 130, 256 }, { 4, 131, 256 }, { 3, 132, 256 }, { 4, 133, 256 }, { 4, 134, 256 }, { 5, 135, 256 }, + { 3, 136, 256 }, { 4, 137, 256 }, { 4, 138, 256 }, { 5, 139, 256 }, { 4, 140, 256 }, { 5, 141, 256 }, { 5, 142, 256 }, { 6, 143, 256 }, + { 3, 144, 256 }, { 4, 145, 256 }, { 4, 146, 256 }, { 5, 147, 256 }, { 4, 148, 256 }, { 5, 149, 256 }, { 5, 150, 256 }, { 6, 151, 256 }, + { 4, 152, 256 }, { 5, 153, 256 }, { 5, 154, 256 }, { 6, 155, 256 }, { 5, 156, 256 }, { 6, 157, 256 }, { 6, 158, 256 }, { 7, 159, 256 }, + { 3, 160, 256 }, { 4, 161, 256 }, { 4, 162, 256 }, { 5, 163, 256 }, { 4, 164, 256 }, { 5, 165, 256 }, { 5, 166, 256 }, { 6, 167, 256 }, + { 4, 168, 256 }, { 5, 169, 256 }, { 5, 170, 256 }, { 6, 171, 256 }, { 5, 172, 256 }, { 6, 173, 256 }, { 6, 174, 256 }, { 7, 175, 256 }, + { 4, 176, 256 }, { 5, 177, 256 }, { 5, 178, 256 }, { 6, 179, 256 }, { 5, 180, 256 }, { 6, 181, 256 }, { 6, 182, 256 }, { 7, 183, 256 }, + { 5, 184, 256 }, { 6, 185, 256 }, { 6, 186, 256 }, { 7, 187, 256 }, { 6, 188, 256 }, { 7, 189, 256 }, { 7, 190, 256 }, { 8, 191, 256 }, + { 3, 192, 256 }, { 4, 193, 256 }, { 4, 194, 256 }, { 5, 195, 256 }, { 4, 196, 256 }, { 5, 197, 256 }, { 5, 198, 256 }, { 6, 199, 256 }, + { 4, 200, 256 }, { 5, 201, 256 }, { 5, 202, 256 }, { 6, 203, 256 }, { 5, 204, 256 }, { 6, 205, 256 }, { 6, 206, 256 }, { 7, 207, 256 }, + { 4, 208, 256 }, { 5, 209, 256 }, { 5, 210, 256 }, { 6, 211, 256 }, { 5, 212, 256 }, { 6, 213, 256 }, { 6, 214, 256 }, { 7, 215, 256 }, + { 5, 216, 256 }, { 6, 217, 256 }, { 6, 218, 256 }, { 7, 219, 256 }, { 6, 220, 256 }, { 7, 221, 256 }, { 7, 222, 256 }, { 8, 223, 256 }, + { 4, 224, 256 }, { 5, 225, 256 }, { 5, 226, 256 }, { 6, 227, 256 }, { 5, 228, 256 }, { 6, 229, 256 }, { 6, 230, 256 }, { 7, 231, 256 }, + { 5, 232, 256 }, { 6, 233, 256 }, { 6, 234, 256 }, { 7, 235, 256 }, { 6, 236, 256 }, { 7, 237, 256 }, { 7, 238, 256 }, { 8, 239, 256 }, + { 5, 240, 256 }, { 6, 241, 256 }, { 6, 242, 256 }, { 7, 243, 256 }, { 6, 244, 256 }, { 7, 245, 256 }, { 7, 246, 256 }, { 8, 247, 256 }, + { 6, 248, 256 }, { 7, 249, 256 }, { 7, 250, 256 }, { 8, 251, 256 }, { 7, 252, 256 }, { 8, 253, 256 }, { 8, 254, 256 }, { 9, 255, 256 }, +#if FP_LUT > 9 + { 1, 0, 0 }, { 2, 1, 512 }, { 2, 2, 512 }, { 3, 3, 512 }, { 2, 4, 512 }, { 3, 5, 512 }, { 3, 6, 512 }, { 4, 7, 512 }, + { 2, 8, 512 }, { 3, 9, 512 }, { 3, 10, 512 }, { 4, 11, 512 }, { 3, 12, 512 }, { 4, 13, 512 }, { 4, 14, 512 }, { 5, 15, 512 }, + { 2, 16, 512 }, { 3, 17, 512 }, { 3, 18, 512 }, { 4, 19, 512 }, { 3, 20, 512 }, { 4, 21, 512 }, { 4, 22, 512 }, { 5, 23, 512 }, + { 3, 24, 512 }, { 4, 25, 512 }, { 4, 26, 512 }, { 5, 27, 512 }, { 4, 28, 512 }, { 5, 29, 512 }, { 5, 30, 512 }, { 6, 31, 512 }, + { 2, 32, 512 }, { 3, 33, 512 }, { 3, 34, 512 }, { 4, 35, 512 }, { 3, 36, 512 }, { 4, 37, 512 }, { 4, 38, 512 }, { 5, 39, 512 }, + { 3, 40, 512 }, { 4, 41, 512 }, { 4, 42, 512 }, { 5, 43, 512 }, { 4, 44, 512 }, { 5, 45, 512 }, { 5, 46, 512 }, { 6, 47, 512 }, + { 3, 48, 512 }, { 4, 49, 512 }, { 4, 50, 512 }, { 5, 51, 512 }, { 4, 52, 512 }, { 5, 53, 512 }, { 5, 54, 512 }, { 6, 55, 512 }, + { 4, 56, 512 }, { 5, 57, 512 }, { 5, 58, 512 }, { 6, 59, 512 }, { 5, 60, 512 }, { 6, 61, 512 }, { 6, 62, 512 }, { 7, 63, 512 }, + { 2, 64, 512 }, { 3, 65, 512 }, { 3, 66, 512 }, { 4, 67, 512 }, { 3, 68, 512 }, { 4, 69, 512 }, { 4, 70, 512 }, { 5, 71, 512 }, + { 3, 72, 512 }, { 4, 73, 512 }, { 4, 74, 512 }, { 5, 75, 512 }, { 4, 76, 512 }, { 5, 77, 512 }, { 5, 78, 512 }, { 6, 79, 512 }, + { 3, 80, 512 }, { 4, 81, 512 }, { 4, 82, 512 }, { 5, 83, 512 }, { 4, 84, 512 }, { 5, 85, 512 }, { 5, 86, 512 }, { 6, 87, 512 }, + { 4, 88, 512 }, { 5, 89, 512 }, { 5, 90, 512 }, { 6, 91, 512 }, { 5, 92, 512 }, { 6, 93, 512 }, { 6, 94, 512 }, { 7, 95, 512 }, + { 3, 96, 512 }, { 4, 97, 512 }, { 4, 98, 512 }, { 5, 99, 512 }, { 4, 100, 512 }, { 5, 101, 512 }, { 5, 102, 512 }, { 6, 103, 512 }, + { 4, 104, 512 }, { 5, 105, 512 }, { 5, 106, 512 }, { 6, 107, 512 }, { 5, 108, 512 }, { 6, 109, 512 }, { 6, 110, 512 }, { 7, 111, 512 }, + { 4, 112, 512 }, { 5, 113, 512 }, { 5, 114, 512 }, { 6, 115, 512 }, { 5, 116, 512 }, { 6, 117, 512 }, { 6, 118, 512 }, { 7, 119, 512 }, + { 5, 120, 512 }, { 6, 121, 512 }, { 6, 122, 512 }, { 7, 123, 512 }, { 6, 124, 512 }, { 7, 125, 512 }, { 7, 126, 512 }, { 8, 127, 512 }, + { 2, 128, 512 }, { 3, 129, 512 }, { 3, 130, 512 }, { 4, 131, 512 }, { 3, 132, 512 }, { 4, 133, 512 }, { 4, 134, 512 }, { 5, 135, 512 }, + { 3, 136, 512 }, { 4, 137, 512 }, { 4, 138, 512 }, { 5, 139, 512 }, { 4, 140, 512 }, { 5, 141, 512 }, { 5, 142, 512 }, { 6, 143, 512 }, + { 3, 144, 512 }, { 4, 145, 512 }, { 4, 146, 512 }, { 5, 147, 512 }, { 4, 148, 512 }, { 5, 149, 512 }, { 5, 150, 512 }, { 6, 151, 512 }, + { 4, 152, 512 }, { 5, 153, 512 }, { 5, 154, 512 }, { 6, 155, 512 }, { 5, 156, 512 }, { 6, 157, 512 }, { 6, 158, 512 }, { 7, 159, 512 }, + { 3, 160, 512 }, { 4, 161, 512 }, { 4, 162, 512 }, { 5, 163, 512 }, { 4, 164, 512 }, { 5, 165, 512 }, { 5, 166, 512 }, { 6, 167, 512 }, + { 4, 168, 512 }, { 5, 169, 512 }, { 5, 170, 512 }, { 6, 171, 512 }, { 5, 172, 512 }, { 6, 173, 512 }, { 6, 174, 512 }, { 7, 175, 512 }, + { 4, 176, 512 }, { 5, 177, 512 }, { 5, 178, 512 }, { 6, 179, 512 }, { 5, 180, 512 }, { 6, 181, 512 }, { 6, 182, 512 }, { 7, 183, 512 }, + { 5, 184, 512 }, { 6, 185, 512 }, { 6, 186, 512 }, { 7, 187, 512 }, { 6, 188, 512 }, { 7, 189, 512 }, { 7, 190, 512 }, { 8, 191, 512 }, + { 3, 192, 512 }, { 4, 193, 512 }, { 4, 194, 512 }, { 5, 195, 512 }, { 4, 196, 512 }, { 5, 197, 512 }, { 5, 198, 512 }, { 6, 199, 512 }, + { 4, 200, 512 }, { 5, 201, 512 }, { 5, 202, 512 }, { 6, 203, 512 }, { 5, 204, 512 }, { 6, 205, 512 }, { 6, 206, 512 }, { 7, 207, 512 }, + { 4, 208, 512 }, { 5, 209, 512 }, { 5, 210, 512 }, { 6, 211, 512 }, { 5, 212, 512 }, { 6, 213, 512 }, { 6, 214, 512 }, { 7, 215, 512 }, + { 5, 216, 512 }, { 6, 217, 512 }, { 6, 218, 512 }, { 7, 219, 512 }, { 6, 220, 512 }, { 7, 221, 512 }, { 7, 222, 512 }, { 8, 223, 512 }, + { 4, 224, 512 }, { 5, 225, 512 }, { 5, 226, 512 }, { 6, 227, 512 }, { 5, 228, 512 }, { 6, 229, 512 }, { 6, 230, 512 }, { 7, 231, 512 }, + { 5, 232, 512 }, { 6, 233, 512 }, { 6, 234, 512 }, { 7, 235, 512 }, { 6, 236, 512 }, { 7, 237, 512 }, { 7, 238, 512 }, { 8, 239, 512 }, + { 5, 240, 512 }, { 6, 241, 512 }, { 6, 242, 512 }, { 7, 243, 512 }, { 6, 244, 512 }, { 7, 245, 512 }, { 7, 246, 512 }, { 8, 247, 512 }, + { 6, 248, 512 }, { 7, 249, 512 }, { 7, 250, 512 }, { 8, 251, 512 }, { 7, 252, 512 }, { 8, 253, 512 }, { 8, 254, 512 }, { 9, 255, 512 }, + { 2, 256, 512 }, { 3, 257, 512 }, { 3, 258, 512 }, { 4, 259, 512 }, { 3, 260, 512 }, { 4, 261, 512 }, { 4, 262, 512 }, { 5, 263, 512 }, + { 3, 264, 512 }, { 4, 265, 512 }, { 4, 266, 512 }, { 5, 267, 512 }, { 4, 268, 512 }, { 5, 269, 512 }, { 5, 270, 512 }, { 6, 271, 512 }, + { 3, 272, 512 }, { 4, 273, 512 }, { 4, 274, 512 }, { 5, 275, 512 }, { 4, 276, 512 }, { 5, 277, 512 }, { 5, 278, 512 }, { 6, 279, 512 }, + { 4, 280, 512 }, { 5, 281, 512 }, { 5, 282, 512 }, { 6, 283, 512 }, { 5, 284, 512 }, { 6, 285, 512 }, { 6, 286, 512 }, { 7, 287, 512 }, + { 3, 288, 512 }, { 4, 289, 512 }, { 4, 290, 512 }, { 5, 291, 512 }, { 4, 292, 512 }, { 5, 293, 512 }, { 5, 294, 512 }, { 6, 295, 512 }, + { 4, 296, 512 }, { 5, 297, 512 }, { 5, 298, 512 }, { 6, 299, 512 }, { 5, 300, 512 }, { 6, 301, 512 }, { 6, 302, 512 }, { 7, 303, 512 }, + { 4, 304, 512 }, { 5, 305, 512 }, { 5, 306, 512 }, { 6, 307, 512 }, { 5, 308, 512 }, { 6, 309, 512 }, { 6, 310, 512 }, { 7, 311, 512 }, + { 5, 312, 512 }, { 6, 313, 512 }, { 6, 314, 512 }, { 7, 315, 512 }, { 6, 316, 512 }, { 7, 317, 512 }, { 7, 318, 512 }, { 8, 319, 512 }, + { 3, 320, 512 }, { 4, 321, 512 }, { 4, 322, 512 }, { 5, 323, 512 }, { 4, 324, 512 }, { 5, 325, 512 }, { 5, 326, 512 }, { 6, 327, 512 }, + { 4, 328, 512 }, { 5, 329, 512 }, { 5, 330, 512 }, { 6, 331, 512 }, { 5, 332, 512 }, { 6, 333, 512 }, { 6, 334, 512 }, { 7, 335, 512 }, + { 4, 336, 512 }, { 5, 337, 512 }, { 5, 338, 512 }, { 6, 339, 512 }, { 5, 340, 512 }, { 6, 341, 512 }, { 6, 342, 512 }, { 7, 343, 512 }, + { 5, 344, 512 }, { 6, 345, 512 }, { 6, 346, 512 }, { 7, 347, 512 }, { 6, 348, 512 }, { 7, 349, 512 }, { 7, 350, 512 }, { 8, 351, 512 }, + { 4, 352, 512 }, { 5, 353, 512 }, { 5, 354, 512 }, { 6, 355, 512 }, { 5, 356, 512 }, { 6, 357, 512 }, { 6, 358, 512 }, { 7, 359, 512 }, + { 5, 360, 512 }, { 6, 361, 512 }, { 6, 362, 512 }, { 7, 363, 512 }, { 6, 364, 512 }, { 7, 365, 512 }, { 7, 366, 512 }, { 8, 367, 512 }, + { 5, 368, 512 }, { 6, 369, 512 }, { 6, 370, 512 }, { 7, 371, 512 }, { 6, 372, 512 }, { 7, 373, 512 }, { 7, 374, 512 }, { 8, 375, 512 }, + { 6, 376, 512 }, { 7, 377, 512 }, { 7, 378, 512 }, { 8, 379, 512 }, { 7, 380, 512 }, { 8, 381, 512 }, { 8, 382, 512 }, { 9, 383, 512 }, + { 3, 384, 512 }, { 4, 385, 512 }, { 4, 386, 512 }, { 5, 387, 512 }, { 4, 388, 512 }, { 5, 389, 512 }, { 5, 390, 512 }, { 6, 391, 512 }, + { 4, 392, 512 }, { 5, 393, 512 }, { 5, 394, 512 }, { 6, 395, 512 }, { 5, 396, 512 }, { 6, 397, 512 }, { 6, 398, 512 }, { 7, 399, 512 }, + { 4, 400, 512 }, { 5, 401, 512 }, { 5, 402, 512 }, { 6, 403, 512 }, { 5, 404, 512 }, { 6, 405, 512 }, { 6, 406, 512 }, { 7, 407, 512 }, + { 5, 408, 512 }, { 6, 409, 512 }, { 6, 410, 512 }, { 7, 411, 512 }, { 6, 412, 512 }, { 7, 413, 512 }, { 7, 414, 512 }, { 8, 415, 512 }, + { 4, 416, 512 }, { 5, 417, 512 }, { 5, 418, 512 }, { 6, 419, 512 }, { 5, 420, 512 }, { 6, 421, 512 }, { 6, 422, 512 }, { 7, 423, 512 }, + { 5, 424, 512 }, { 6, 425, 512 }, { 6, 426, 512 }, { 7, 427, 512 }, { 6, 428, 512 }, { 7, 429, 512 }, { 7, 430, 512 }, { 8, 431, 512 }, + { 5, 432, 512 }, { 6, 433, 512 }, { 6, 434, 512 }, { 7, 435, 512 }, { 6, 436, 512 }, { 7, 437, 512 }, { 7, 438, 512 }, { 8, 439, 512 }, + { 6, 440, 512 }, { 7, 441, 512 }, { 7, 442, 512 }, { 8, 443, 512 }, { 7, 444, 512 }, { 8, 445, 512 }, { 8, 446, 512 }, { 9, 447, 512 }, + { 4, 448, 512 }, { 5, 449, 512 }, { 5, 450, 512 }, { 6, 451, 512 }, { 5, 452, 512 }, { 6, 453, 512 }, { 6, 454, 512 }, { 7, 455, 512 }, + { 5, 456, 512 }, { 6, 457, 512 }, { 6, 458, 512 }, { 7, 459, 512 }, { 6, 460, 512 }, { 7, 461, 512 }, { 7, 462, 512 }, { 8, 463, 512 }, + { 5, 464, 512 }, { 6, 465, 512 }, { 6, 466, 512 }, { 7, 467, 512 }, { 6, 468, 512 }, { 7, 469, 512 }, { 7, 470, 512 }, { 8, 471, 512 }, + { 6, 472, 512 }, { 7, 473, 512 }, { 7, 474, 512 }, { 8, 475, 512 }, { 7, 476, 512 }, { 8, 477, 512 }, { 8, 478, 512 }, { 9, 479, 512 }, + { 5, 480, 512 }, { 6, 481, 512 }, { 6, 482, 512 }, { 7, 483, 512 }, { 6, 484, 512 }, { 7, 485, 512 }, { 7, 486, 512 }, { 8, 487, 512 }, + { 6, 488, 512 }, { 7, 489, 512 }, { 7, 490, 512 }, { 8, 491, 512 }, { 7, 492, 512 }, { 8, 493, 512 }, { 8, 494, 512 }, { 9, 495, 512 }, + { 6, 496, 512 }, { 7, 497, 512 }, { 7, 498, 512 }, { 8, 499, 512 }, { 7, 500, 512 }, { 8, 501, 512 }, { 8, 502, 512 }, { 9, 503, 512 }, + { 7, 504, 512 }, { 8, 505, 512 }, { 8, 506, 512 }, { 9, 507, 512 }, { 8, 508, 512 }, { 9, 509, 512 }, { 9, 510, 512 }, { 10, 511, 512 }, +#if FP_LUT > 10 + { 1, 0, 0 }, { 2, 1, 1024 }, { 2, 2, 1024 }, { 3, 3, 1024 }, { 2, 4, 1024 }, { 3, 5, 1024 }, { 3, 6, 1024 }, { 4, 7, 1024 }, + { 2, 8, 1024 }, { 3, 9, 1024 }, { 3, 10, 1024 }, { 4, 11, 1024 }, { 3, 12, 1024 }, { 4, 13, 1024 }, { 4, 14, 1024 }, { 5, 15, 1024 }, + { 2, 16, 1024 }, { 3, 17, 1024 }, { 3, 18, 1024 }, { 4, 19, 1024 }, { 3, 20, 1024 }, { 4, 21, 1024 }, { 4, 22, 1024 }, { 5, 23, 1024 }, + { 3, 24, 1024 }, { 4, 25, 1024 }, { 4, 26, 1024 }, { 5, 27, 1024 }, { 4, 28, 1024 }, { 5, 29, 1024 }, { 5, 30, 1024 }, { 6, 31, 1024 }, + { 2, 32, 1024 }, { 3, 33, 1024 }, { 3, 34, 1024 }, { 4, 35, 1024 }, { 3, 36, 1024 }, { 4, 37, 1024 }, { 4, 38, 1024 }, { 5, 39, 1024 }, + { 3, 40, 1024 }, { 4, 41, 1024 }, { 4, 42, 1024 }, { 5, 43, 1024 }, { 4, 44, 1024 }, { 5, 45, 1024 }, { 5, 46, 1024 }, { 6, 47, 1024 }, + { 3, 48, 1024 }, { 4, 49, 1024 }, { 4, 50, 1024 }, { 5, 51, 1024 }, { 4, 52, 1024 }, { 5, 53, 1024 }, { 5, 54, 1024 }, { 6, 55, 1024 }, + { 4, 56, 1024 }, { 5, 57, 1024 }, { 5, 58, 1024 }, { 6, 59, 1024 }, { 5, 60, 1024 }, { 6, 61, 1024 }, { 6, 62, 1024 }, { 7, 63, 1024 }, + { 2, 64, 1024 }, { 3, 65, 1024 }, { 3, 66, 1024 }, { 4, 67, 1024 }, { 3, 68, 1024 }, { 4, 69, 1024 }, { 4, 70, 1024 }, { 5, 71, 1024 }, + { 3, 72, 1024 }, { 4, 73, 1024 }, { 4, 74, 1024 }, { 5, 75, 1024 }, { 4, 76, 1024 }, { 5, 77, 1024 }, { 5, 78, 1024 }, { 6, 79, 1024 }, + { 3, 80, 1024 }, { 4, 81, 1024 }, { 4, 82, 1024 }, { 5, 83, 1024 }, { 4, 84, 1024 }, { 5, 85, 1024 }, { 5, 86, 1024 }, { 6, 87, 1024 }, + { 4, 88, 1024 }, { 5, 89, 1024 }, { 5, 90, 1024 }, { 6, 91, 1024 }, { 5, 92, 1024 }, { 6, 93, 1024 }, { 6, 94, 1024 }, { 7, 95, 1024 }, + { 3, 96, 1024 }, { 4, 97, 1024 }, { 4, 98, 1024 }, { 5, 99, 1024 }, { 4, 100, 1024 }, { 5, 101, 1024 }, { 5, 102, 1024 }, { 6, 103, 1024 }, + { 4, 104, 1024 }, { 5, 105, 1024 }, { 5, 106, 1024 }, { 6, 107, 1024 }, { 5, 108, 1024 }, { 6, 109, 1024 }, { 6, 110, 1024 }, { 7, 111, 1024 }, + { 4, 112, 1024 }, { 5, 113, 1024 }, { 5, 114, 1024 }, { 6, 115, 1024 }, { 5, 116, 1024 }, { 6, 117, 1024 }, { 6, 118, 1024 }, { 7, 119, 1024 }, + { 5, 120, 1024 }, { 6, 121, 1024 }, { 6, 122, 1024 }, { 7, 123, 1024 }, { 6, 124, 1024 }, { 7, 125, 1024 }, { 7, 126, 1024 }, { 8, 127, 1024 }, + { 2, 128, 1024 }, { 3, 129, 1024 }, { 3, 130, 1024 }, { 4, 131, 1024 }, { 3, 132, 1024 }, { 4, 133, 1024 }, { 4, 134, 1024 }, { 5, 135, 1024 }, + { 3, 136, 1024 }, { 4, 137, 1024 }, { 4, 138, 1024 }, { 5, 139, 1024 }, { 4, 140, 1024 }, { 5, 141, 1024 }, { 5, 142, 1024 }, { 6, 143, 1024 }, + { 3, 144, 1024 }, { 4, 145, 1024 }, { 4, 146, 1024 }, { 5, 147, 1024 }, { 4, 148, 1024 }, { 5, 149, 1024 }, { 5, 150, 1024 }, { 6, 151, 1024 }, + { 4, 152, 1024 }, { 5, 153, 1024 }, { 5, 154, 1024 }, { 6, 155, 1024 }, { 5, 156, 1024 }, { 6, 157, 1024 }, { 6, 158, 1024 }, { 7, 159, 1024 }, + { 3, 160, 1024 }, { 4, 161, 1024 }, { 4, 162, 1024 }, { 5, 163, 1024 }, { 4, 164, 1024 }, { 5, 165, 1024 }, { 5, 166, 1024 }, { 6, 167, 1024 }, + { 4, 168, 1024 }, { 5, 169, 1024 }, { 5, 170, 1024 }, { 6, 171, 1024 }, { 5, 172, 1024 }, { 6, 173, 1024 }, { 6, 174, 1024 }, { 7, 175, 1024 }, + { 4, 176, 1024 }, { 5, 177, 1024 }, { 5, 178, 1024 }, { 6, 179, 1024 }, { 5, 180, 1024 }, { 6, 181, 1024 }, { 6, 182, 1024 }, { 7, 183, 1024 }, + { 5, 184, 1024 }, { 6, 185, 1024 }, { 6, 186, 1024 }, { 7, 187, 1024 }, { 6, 188, 1024 }, { 7, 189, 1024 }, { 7, 190, 1024 }, { 8, 191, 1024 }, + { 3, 192, 1024 }, { 4, 193, 1024 }, { 4, 194, 1024 }, { 5, 195, 1024 }, { 4, 196, 1024 }, { 5, 197, 1024 }, { 5, 198, 1024 }, { 6, 199, 1024 }, + { 4, 200, 1024 }, { 5, 201, 1024 }, { 5, 202, 1024 }, { 6, 203, 1024 }, { 5, 204, 1024 }, { 6, 205, 1024 }, { 6, 206, 1024 }, { 7, 207, 1024 }, + { 4, 208, 1024 }, { 5, 209, 1024 }, { 5, 210, 1024 }, { 6, 211, 1024 }, { 5, 212, 1024 }, { 6, 213, 1024 }, { 6, 214, 1024 }, { 7, 215, 1024 }, + { 5, 216, 1024 }, { 6, 217, 1024 }, { 6, 218, 1024 }, { 7, 219, 1024 }, { 6, 220, 1024 }, { 7, 221, 1024 }, { 7, 222, 1024 }, { 8, 223, 1024 }, + { 4, 224, 1024 }, { 5, 225, 1024 }, { 5, 226, 1024 }, { 6, 227, 1024 }, { 5, 228, 1024 }, { 6, 229, 1024 }, { 6, 230, 1024 }, { 7, 231, 1024 }, + { 5, 232, 1024 }, { 6, 233, 1024 }, { 6, 234, 1024 }, { 7, 235, 1024 }, { 6, 236, 1024 }, { 7, 237, 1024 }, { 7, 238, 1024 }, { 8, 239, 1024 }, + { 5, 240, 1024 }, { 6, 241, 1024 }, { 6, 242, 1024 }, { 7, 243, 1024 }, { 6, 244, 1024 }, { 7, 245, 1024 }, { 7, 246, 1024 }, { 8, 247, 1024 }, + { 6, 248, 1024 }, { 7, 249, 1024 }, { 7, 250, 1024 }, { 8, 251, 1024 }, { 7, 252, 1024 }, { 8, 253, 1024 }, { 8, 254, 1024 }, { 9, 255, 1024 }, + { 2, 256, 1024 }, { 3, 257, 1024 }, { 3, 258, 1024 }, { 4, 259, 1024 }, { 3, 260, 1024 }, { 4, 261, 1024 }, { 4, 262, 1024 }, { 5, 263, 1024 }, + { 3, 264, 1024 }, { 4, 265, 1024 }, { 4, 266, 1024 }, { 5, 267, 1024 }, { 4, 268, 1024 }, { 5, 269, 1024 }, { 5, 270, 1024 }, { 6, 271, 1024 }, + { 3, 272, 1024 }, { 4, 273, 1024 }, { 4, 274, 1024 }, { 5, 275, 1024 }, { 4, 276, 1024 }, { 5, 277, 1024 }, { 5, 278, 1024 }, { 6, 279, 1024 }, + { 4, 280, 1024 }, { 5, 281, 1024 }, { 5, 282, 1024 }, { 6, 283, 1024 }, { 5, 284, 1024 }, { 6, 285, 1024 }, { 6, 286, 1024 }, { 7, 287, 1024 }, + { 3, 288, 1024 }, { 4, 289, 1024 }, { 4, 290, 1024 }, { 5, 291, 1024 }, { 4, 292, 1024 }, { 5, 293, 1024 }, { 5, 294, 1024 }, { 6, 295, 1024 }, + { 4, 296, 1024 }, { 5, 297, 1024 }, { 5, 298, 1024 }, { 6, 299, 1024 }, { 5, 300, 1024 }, { 6, 301, 1024 }, { 6, 302, 1024 }, { 7, 303, 1024 }, + { 4, 304, 1024 }, { 5, 305, 1024 }, { 5, 306, 1024 }, { 6, 307, 1024 }, { 5, 308, 1024 }, { 6, 309, 1024 }, { 6, 310, 1024 }, { 7, 311, 1024 }, + { 5, 312, 1024 }, { 6, 313, 1024 }, { 6, 314, 1024 }, { 7, 315, 1024 }, { 6, 316, 1024 }, { 7, 317, 1024 }, { 7, 318, 1024 }, { 8, 319, 1024 }, + { 3, 320, 1024 }, { 4, 321, 1024 }, { 4, 322, 1024 }, { 5, 323, 1024 }, { 4, 324, 1024 }, { 5, 325, 1024 }, { 5, 326, 1024 }, { 6, 327, 1024 }, + { 4, 328, 1024 }, { 5, 329, 1024 }, { 5, 330, 1024 }, { 6, 331, 1024 }, { 5, 332, 1024 }, { 6, 333, 1024 }, { 6, 334, 1024 }, { 7, 335, 1024 }, + { 4, 336, 1024 }, { 5, 337, 1024 }, { 5, 338, 1024 }, { 6, 339, 1024 }, { 5, 340, 1024 }, { 6, 341, 1024 }, { 6, 342, 1024 }, { 7, 343, 1024 }, + { 5, 344, 1024 }, { 6, 345, 1024 }, { 6, 346, 1024 }, { 7, 347, 1024 }, { 6, 348, 1024 }, { 7, 349, 1024 }, { 7, 350, 1024 }, { 8, 351, 1024 }, + { 4, 352, 1024 }, { 5, 353, 1024 }, { 5, 354, 1024 }, { 6, 355, 1024 }, { 5, 356, 1024 }, { 6, 357, 1024 }, { 6, 358, 1024 }, { 7, 359, 1024 }, + { 5, 360, 1024 }, { 6, 361, 1024 }, { 6, 362, 1024 }, { 7, 363, 1024 }, { 6, 364, 1024 }, { 7, 365, 1024 }, { 7, 366, 1024 }, { 8, 367, 1024 }, + { 5, 368, 1024 }, { 6, 369, 1024 }, { 6, 370, 1024 }, { 7, 371, 1024 }, { 6, 372, 1024 }, { 7, 373, 1024 }, { 7, 374, 1024 }, { 8, 375, 1024 }, + { 6, 376, 1024 }, { 7, 377, 1024 }, { 7, 378, 1024 }, { 8, 379, 1024 }, { 7, 380, 1024 }, { 8, 381, 1024 }, { 8, 382, 1024 }, { 9, 383, 1024 }, + { 3, 384, 1024 }, { 4, 385, 1024 }, { 4, 386, 1024 }, { 5, 387, 1024 }, { 4, 388, 1024 }, { 5, 389, 1024 }, { 5, 390, 1024 }, { 6, 391, 1024 }, + { 4, 392, 1024 }, { 5, 393, 1024 }, { 5, 394, 1024 }, { 6, 395, 1024 }, { 5, 396, 1024 }, { 6, 397, 1024 }, { 6, 398, 1024 }, { 7, 399, 1024 }, + { 4, 400, 1024 }, { 5, 401, 1024 }, { 5, 402, 1024 }, { 6, 403, 1024 }, { 5, 404, 1024 }, { 6, 405, 1024 }, { 6, 406, 1024 }, { 7, 407, 1024 }, + { 5, 408, 1024 }, { 6, 409, 1024 }, { 6, 410, 1024 }, { 7, 411, 1024 }, { 6, 412, 1024 }, { 7, 413, 1024 }, { 7, 414, 1024 }, { 8, 415, 1024 }, + { 4, 416, 1024 }, { 5, 417, 1024 }, { 5, 418, 1024 }, { 6, 419, 1024 }, { 5, 420, 1024 }, { 6, 421, 1024 }, { 6, 422, 1024 }, { 7, 423, 1024 }, + { 5, 424, 1024 }, { 6, 425, 1024 }, { 6, 426, 1024 }, { 7, 427, 1024 }, { 6, 428, 1024 }, { 7, 429, 1024 }, { 7, 430, 1024 }, { 8, 431, 1024 }, + { 5, 432, 1024 }, { 6, 433, 1024 }, { 6, 434, 1024 }, { 7, 435, 1024 }, { 6, 436, 1024 }, { 7, 437, 1024 }, { 7, 438, 1024 }, { 8, 439, 1024 }, + { 6, 440, 1024 }, { 7, 441, 1024 }, { 7, 442, 1024 }, { 8, 443, 1024 }, { 7, 444, 1024 }, { 8, 445, 1024 }, { 8, 446, 1024 }, { 9, 447, 1024 }, + { 4, 448, 1024 }, { 5, 449, 1024 }, { 5, 450, 1024 }, { 6, 451, 1024 }, { 5, 452, 1024 }, { 6, 453, 1024 }, { 6, 454, 1024 }, { 7, 455, 1024 }, + { 5, 456, 1024 }, { 6, 457, 1024 }, { 6, 458, 1024 }, { 7, 459, 1024 }, { 6, 460, 1024 }, { 7, 461, 1024 }, { 7, 462, 1024 }, { 8, 463, 1024 }, + { 5, 464, 1024 }, { 6, 465, 1024 }, { 6, 466, 1024 }, { 7, 467, 1024 }, { 6, 468, 1024 }, { 7, 469, 1024 }, { 7, 470, 1024 }, { 8, 471, 1024 }, + { 6, 472, 1024 }, { 7, 473, 1024 }, { 7, 474, 1024 }, { 8, 475, 1024 }, { 7, 476, 1024 }, { 8, 477, 1024 }, { 8, 478, 1024 }, { 9, 479, 1024 }, + { 5, 480, 1024 }, { 6, 481, 1024 }, { 6, 482, 1024 }, { 7, 483, 1024 }, { 6, 484, 1024 }, { 7, 485, 1024 }, { 7, 486, 1024 }, { 8, 487, 1024 }, + { 6, 488, 1024 }, { 7, 489, 1024 }, { 7, 490, 1024 }, { 8, 491, 1024 }, { 7, 492, 1024 }, { 8, 493, 1024 }, { 8, 494, 1024 }, { 9, 495, 1024 }, + { 6, 496, 1024 }, { 7, 497, 1024 }, { 7, 498, 1024 }, { 8, 499, 1024 }, { 7, 500, 1024 }, { 8, 501, 1024 }, { 8, 502, 1024 }, { 9, 503, 1024 }, + { 7, 504, 1024 }, { 8, 505, 1024 }, { 8, 506, 1024 }, { 9, 507, 1024 }, { 8, 508, 1024 }, { 9, 509, 1024 }, { 9, 510, 1024 }, { 10, 511, 1024 }, + { 2, 512, 1024 }, { 3, 513, 1024 }, { 3, 514, 1024 }, { 4, 515, 1024 }, { 3, 516, 1024 }, { 4, 517, 1024 }, { 4, 518, 1024 }, { 5, 519, 1024 }, + { 3, 520, 1024 }, { 4, 521, 1024 }, { 4, 522, 1024 }, { 5, 523, 1024 }, { 4, 524, 1024 }, { 5, 525, 1024 }, { 5, 526, 1024 }, { 6, 527, 1024 }, + { 3, 528, 1024 }, { 4, 529, 1024 }, { 4, 530, 1024 }, { 5, 531, 1024 }, { 4, 532, 1024 }, { 5, 533, 1024 }, { 5, 534, 1024 }, { 6, 535, 1024 }, + { 4, 536, 1024 }, { 5, 537, 1024 }, { 5, 538, 1024 }, { 6, 539, 1024 }, { 5, 540, 1024 }, { 6, 541, 1024 }, { 6, 542, 1024 }, { 7, 543, 1024 }, + { 3, 544, 1024 }, { 4, 545, 1024 }, { 4, 546, 1024 }, { 5, 547, 1024 }, { 4, 548, 1024 }, { 5, 549, 1024 }, { 5, 550, 1024 }, { 6, 551, 1024 }, + { 4, 552, 1024 }, { 5, 553, 1024 }, { 5, 554, 1024 }, { 6, 555, 1024 }, { 5, 556, 1024 }, { 6, 557, 1024 }, { 6, 558, 1024 }, { 7, 559, 1024 }, + { 4, 560, 1024 }, { 5, 561, 1024 }, { 5, 562, 1024 }, { 6, 563, 1024 }, { 5, 564, 1024 }, { 6, 565, 1024 }, { 6, 566, 1024 }, { 7, 567, 1024 }, + { 5, 568, 1024 }, { 6, 569, 1024 }, { 6, 570, 1024 }, { 7, 571, 1024 }, { 6, 572, 1024 }, { 7, 573, 1024 }, { 7, 574, 1024 }, { 8, 575, 1024 }, + { 3, 576, 1024 }, { 4, 577, 1024 }, { 4, 578, 1024 }, { 5, 579, 1024 }, { 4, 580, 1024 }, { 5, 581, 1024 }, { 5, 582, 1024 }, { 6, 583, 1024 }, + { 4, 584, 1024 }, { 5, 585, 1024 }, { 5, 586, 1024 }, { 6, 587, 1024 }, { 5, 588, 1024 }, { 6, 589, 1024 }, { 6, 590, 1024 }, { 7, 591, 1024 }, + { 4, 592, 1024 }, { 5, 593, 1024 }, { 5, 594, 1024 }, { 6, 595, 1024 }, { 5, 596, 1024 }, { 6, 597, 1024 }, { 6, 598, 1024 }, { 7, 599, 1024 }, + { 5, 600, 1024 }, { 6, 601, 1024 }, { 6, 602, 1024 }, { 7, 603, 1024 }, { 6, 604, 1024 }, { 7, 605, 1024 }, { 7, 606, 1024 }, { 8, 607, 1024 }, + { 4, 608, 1024 }, { 5, 609, 1024 }, { 5, 610, 1024 }, { 6, 611, 1024 }, { 5, 612, 1024 }, { 6, 613, 1024 }, { 6, 614, 1024 }, { 7, 615, 1024 }, + { 5, 616, 1024 }, { 6, 617, 1024 }, { 6, 618, 1024 }, { 7, 619, 1024 }, { 6, 620, 1024 }, { 7, 621, 1024 }, { 7, 622, 1024 }, { 8, 623, 1024 }, + { 5, 624, 1024 }, { 6, 625, 1024 }, { 6, 626, 1024 }, { 7, 627, 1024 }, { 6, 628, 1024 }, { 7, 629, 1024 }, { 7, 630, 1024 }, { 8, 631, 1024 }, + { 6, 632, 1024 }, { 7, 633, 1024 }, { 7, 634, 1024 }, { 8, 635, 1024 }, { 7, 636, 1024 }, { 8, 637, 1024 }, { 8, 638, 1024 }, { 9, 639, 1024 }, + { 3, 640, 1024 }, { 4, 641, 1024 }, { 4, 642, 1024 }, { 5, 643, 1024 }, { 4, 644, 1024 }, { 5, 645, 1024 }, { 5, 646, 1024 }, { 6, 647, 1024 }, + { 4, 648, 1024 }, { 5, 649, 1024 }, { 5, 650, 1024 }, { 6, 651, 1024 }, { 5, 652, 1024 }, { 6, 653, 1024 }, { 6, 654, 1024 }, { 7, 655, 1024 }, + { 4, 656, 1024 }, { 5, 657, 1024 }, { 5, 658, 1024 }, { 6, 659, 1024 }, { 5, 660, 1024 }, { 6, 661, 1024 }, { 6, 662, 1024 }, { 7, 663, 1024 }, + { 5, 664, 1024 }, { 6, 665, 1024 }, { 6, 666, 1024 }, { 7, 667, 1024 }, { 6, 668, 1024 }, { 7, 669, 1024 }, { 7, 670, 1024 }, { 8, 671, 1024 }, + { 4, 672, 1024 }, { 5, 673, 1024 }, { 5, 674, 1024 }, { 6, 675, 1024 }, { 5, 676, 1024 }, { 6, 677, 1024 }, { 6, 678, 1024 }, { 7, 679, 1024 }, + { 5, 680, 1024 }, { 6, 681, 1024 }, { 6, 682, 1024 }, { 7, 683, 1024 }, { 6, 684, 1024 }, { 7, 685, 1024 }, { 7, 686, 1024 }, { 8, 687, 1024 }, + { 5, 688, 1024 }, { 6, 689, 1024 }, { 6, 690, 1024 }, { 7, 691, 1024 }, { 6, 692, 1024 }, { 7, 693, 1024 }, { 7, 694, 1024 }, { 8, 695, 1024 }, + { 6, 696, 1024 }, { 7, 697, 1024 }, { 7, 698, 1024 }, { 8, 699, 1024 }, { 7, 700, 1024 }, { 8, 701, 1024 }, { 8, 702, 1024 }, { 9, 703, 1024 }, + { 4, 704, 1024 }, { 5, 705, 1024 }, { 5, 706, 1024 }, { 6, 707, 1024 }, { 5, 708, 1024 }, { 6, 709, 1024 }, { 6, 710, 1024 }, { 7, 711, 1024 }, + { 5, 712, 1024 }, { 6, 713, 1024 }, { 6, 714, 1024 }, { 7, 715, 1024 }, { 6, 716, 1024 }, { 7, 717, 1024 }, { 7, 718, 1024 }, { 8, 719, 1024 }, + { 5, 720, 1024 }, { 6, 721, 1024 }, { 6, 722, 1024 }, { 7, 723, 1024 }, { 6, 724, 1024 }, { 7, 725, 1024 }, { 7, 726, 1024 }, { 8, 727, 1024 }, + { 6, 728, 1024 }, { 7, 729, 1024 }, { 7, 730, 1024 }, { 8, 731, 1024 }, { 7, 732, 1024 }, { 8, 733, 1024 }, { 8, 734, 1024 }, { 9, 735, 1024 }, + { 5, 736, 1024 }, { 6, 737, 1024 }, { 6, 738, 1024 }, { 7, 739, 1024 }, { 6, 740, 1024 }, { 7, 741, 1024 }, { 7, 742, 1024 }, { 8, 743, 1024 }, + { 6, 744, 1024 }, { 7, 745, 1024 }, { 7, 746, 1024 }, { 8, 747, 1024 }, { 7, 748, 1024 }, { 8, 749, 1024 }, { 8, 750, 1024 }, { 9, 751, 1024 }, + { 6, 752, 1024 }, { 7, 753, 1024 }, { 7, 754, 1024 }, { 8, 755, 1024 }, { 7, 756, 1024 }, { 8, 757, 1024 }, { 8, 758, 1024 }, { 9, 759, 1024 }, + { 7, 760, 1024 }, { 8, 761, 1024 }, { 8, 762, 1024 }, { 9, 763, 1024 }, { 8, 764, 1024 }, { 9, 765, 1024 }, { 9, 766, 1024 }, { 10, 767, 1024 }, + { 3, 768, 1024 }, { 4, 769, 1024 }, { 4, 770, 1024 }, { 5, 771, 1024 }, { 4, 772, 1024 }, { 5, 773, 1024 }, { 5, 774, 1024 }, { 6, 775, 1024 }, + { 4, 776, 1024 }, { 5, 777, 1024 }, { 5, 778, 1024 }, { 6, 779, 1024 }, { 5, 780, 1024 }, { 6, 781, 1024 }, { 6, 782, 1024 }, { 7, 783, 1024 }, + { 4, 784, 1024 }, { 5, 785, 1024 }, { 5, 786, 1024 }, { 6, 787, 1024 }, { 5, 788, 1024 }, { 6, 789, 1024 }, { 6, 790, 1024 }, { 7, 791, 1024 }, + { 5, 792, 1024 }, { 6, 793, 1024 }, { 6, 794, 1024 }, { 7, 795, 1024 }, { 6, 796, 1024 }, { 7, 797, 1024 }, { 7, 798, 1024 }, { 8, 799, 1024 }, + { 4, 800, 1024 }, { 5, 801, 1024 }, { 5, 802, 1024 }, { 6, 803, 1024 }, { 5, 804, 1024 }, { 6, 805, 1024 }, { 6, 806, 1024 }, { 7, 807, 1024 }, + { 5, 808, 1024 }, { 6, 809, 1024 }, { 6, 810, 1024 }, { 7, 811, 1024 }, { 6, 812, 1024 }, { 7, 813, 1024 }, { 7, 814, 1024 }, { 8, 815, 1024 }, + { 5, 816, 1024 }, { 6, 817, 1024 }, { 6, 818, 1024 }, { 7, 819, 1024 }, { 6, 820, 1024 }, { 7, 821, 1024 }, { 7, 822, 1024 }, { 8, 823, 1024 }, + { 6, 824, 1024 }, { 7, 825, 1024 }, { 7, 826, 1024 }, { 8, 827, 1024 }, { 7, 828, 1024 }, { 8, 829, 1024 }, { 8, 830, 1024 }, { 9, 831, 1024 }, + { 4, 832, 1024 }, { 5, 833, 1024 }, { 5, 834, 1024 }, { 6, 835, 1024 }, { 5, 836, 1024 }, { 6, 837, 1024 }, { 6, 838, 1024 }, { 7, 839, 1024 }, + { 5, 840, 1024 }, { 6, 841, 1024 }, { 6, 842, 1024 }, { 7, 843, 1024 }, { 6, 844, 1024 }, { 7, 845, 1024 }, { 7, 846, 1024 }, { 8, 847, 1024 }, + { 5, 848, 1024 }, { 6, 849, 1024 }, { 6, 850, 1024 }, { 7, 851, 1024 }, { 6, 852, 1024 }, { 7, 853, 1024 }, { 7, 854, 1024 }, { 8, 855, 1024 }, + { 6, 856, 1024 }, { 7, 857, 1024 }, { 7, 858, 1024 }, { 8, 859, 1024 }, { 7, 860, 1024 }, { 8, 861, 1024 }, { 8, 862, 1024 }, { 9, 863, 1024 }, + { 5, 864, 1024 }, { 6, 865, 1024 }, { 6, 866, 1024 }, { 7, 867, 1024 }, { 6, 868, 1024 }, { 7, 869, 1024 }, { 7, 870, 1024 }, { 8, 871, 1024 }, + { 6, 872, 1024 }, { 7, 873, 1024 }, { 7, 874, 1024 }, { 8, 875, 1024 }, { 7, 876, 1024 }, { 8, 877, 1024 }, { 8, 878, 1024 }, { 9, 879, 1024 }, + { 6, 880, 1024 }, { 7, 881, 1024 }, { 7, 882, 1024 }, { 8, 883, 1024 }, { 7, 884, 1024 }, { 8, 885, 1024 }, { 8, 886, 1024 }, { 9, 887, 1024 }, + { 7, 888, 1024 }, { 8, 889, 1024 }, { 8, 890, 1024 }, { 9, 891, 1024 }, { 8, 892, 1024 }, { 9, 893, 1024 }, { 9, 894, 1024 }, { 10, 895, 1024 }, + { 4, 896, 1024 }, { 5, 897, 1024 }, { 5, 898, 1024 }, { 6, 899, 1024 }, { 5, 900, 1024 }, { 6, 901, 1024 }, { 6, 902, 1024 }, { 7, 903, 1024 }, + { 5, 904, 1024 }, { 6, 905, 1024 }, { 6, 906, 1024 }, { 7, 907, 1024 }, { 6, 908, 1024 }, { 7, 909, 1024 }, { 7, 910, 1024 }, { 8, 911, 1024 }, + { 5, 912, 1024 }, { 6, 913, 1024 }, { 6, 914, 1024 }, { 7, 915, 1024 }, { 6, 916, 1024 }, { 7, 917, 1024 }, { 7, 918, 1024 }, { 8, 919, 1024 }, + { 6, 920, 1024 }, { 7, 921, 1024 }, { 7, 922, 1024 }, { 8, 923, 1024 }, { 7, 924, 1024 }, { 8, 925, 1024 }, { 8, 926, 1024 }, { 9, 927, 1024 }, + { 5, 928, 1024 }, { 6, 929, 1024 }, { 6, 930, 1024 }, { 7, 931, 1024 }, { 6, 932, 1024 }, { 7, 933, 1024 }, { 7, 934, 1024 }, { 8, 935, 1024 }, + { 6, 936, 1024 }, { 7, 937, 1024 }, { 7, 938, 1024 }, { 8, 939, 1024 }, { 7, 940, 1024 }, { 8, 941, 1024 }, { 8, 942, 1024 }, { 9, 943, 1024 }, + { 6, 944, 1024 }, { 7, 945, 1024 }, { 7, 946, 1024 }, { 8, 947, 1024 }, { 7, 948, 1024 }, { 8, 949, 1024 }, { 8, 950, 1024 }, { 9, 951, 1024 }, + { 7, 952, 1024 }, { 8, 953, 1024 }, { 8, 954, 1024 }, { 9, 955, 1024 }, { 8, 956, 1024 }, { 9, 957, 1024 }, { 9, 958, 1024 }, { 10, 959, 1024 }, + { 5, 960, 1024 }, { 6, 961, 1024 }, { 6, 962, 1024 }, { 7, 963, 1024 }, { 6, 964, 1024 }, { 7, 965, 1024 }, { 7, 966, 1024 }, { 8, 967, 1024 }, + { 6, 968, 1024 }, { 7, 969, 1024 }, { 7, 970, 1024 }, { 8, 971, 1024 }, { 7, 972, 1024 }, { 8, 973, 1024 }, { 8, 974, 1024 }, { 9, 975, 1024 }, + { 6, 976, 1024 }, { 7, 977, 1024 }, { 7, 978, 1024 }, { 8, 979, 1024 }, { 7, 980, 1024 }, { 8, 981, 1024 }, { 8, 982, 1024 }, { 9, 983, 1024 }, + { 7, 984, 1024 }, { 8, 985, 1024 }, { 8, 986, 1024 }, { 9, 987, 1024 }, { 8, 988, 1024 }, { 9, 989, 1024 }, { 9, 990, 1024 }, { 10, 991, 1024 }, + { 6, 992, 1024 }, { 7, 993, 1024 }, { 7, 994, 1024 }, { 8, 995, 1024 }, { 7, 996, 1024 }, { 8, 997, 1024 }, { 8, 998, 1024 }, { 9, 999, 1024 }, + { 7, 1000, 1024 }, { 8, 1001, 1024 }, { 8, 1002, 1024 }, { 9, 1003, 1024 }, { 8, 1004, 1024 }, { 9, 1005, 1024 }, { 9, 1006, 1024 }, { 10, 1007, 1024 }, + { 7, 1008, 1024 }, { 8, 1009, 1024 }, { 8, 1010, 1024 }, { 9, 1011, 1024 }, { 8, 1012, 1024 }, { 9, 1013, 1024 }, { 9, 1014, 1024 }, { 10, 1015, 1024 }, + { 8, 1016, 1024 }, { 9, 1017, 1024 }, { 9, 1018, 1024 }, { 10, 1019, 1024 }, { 9, 1020, 1024 }, { 10, 1021, 1024 }, { 10, 1022, 1024 }, { 11, 1023, 1024 }, +#if FP_LUT > 11 + { 1, 0, 0 }, { 2, 1, 2048 }, { 2, 2, 2048 }, { 3, 3, 2048 }, { 2, 4, 2048 }, { 3, 5, 2048 }, { 3, 6, 2048 }, { 4, 7, 2048 }, + { 2, 8, 2048 }, { 3, 9, 2048 }, { 3, 10, 2048 }, { 4, 11, 2048 }, { 3, 12, 2048 }, { 4, 13, 2048 }, { 4, 14, 2048 }, { 5, 15, 2048 }, + { 2, 16, 2048 }, { 3, 17, 2048 }, { 3, 18, 2048 }, { 4, 19, 2048 }, { 3, 20, 2048 }, { 4, 21, 2048 }, { 4, 22, 2048 }, { 5, 23, 2048 }, + { 3, 24, 2048 }, { 4, 25, 2048 }, { 4, 26, 2048 }, { 5, 27, 2048 }, { 4, 28, 2048 }, { 5, 29, 2048 }, { 5, 30, 2048 }, { 6, 31, 2048 }, + { 2, 32, 2048 }, { 3, 33, 2048 }, { 3, 34, 2048 }, { 4, 35, 2048 }, { 3, 36, 2048 }, { 4, 37, 2048 }, { 4, 38, 2048 }, { 5, 39, 2048 }, + { 3, 40, 2048 }, { 4, 41, 2048 }, { 4, 42, 2048 }, { 5, 43, 2048 }, { 4, 44, 2048 }, { 5, 45, 2048 }, { 5, 46, 2048 }, { 6, 47, 2048 }, + { 3, 48, 2048 }, { 4, 49, 2048 }, { 4, 50, 2048 }, { 5, 51, 2048 }, { 4, 52, 2048 }, { 5, 53, 2048 }, { 5, 54, 2048 }, { 6, 55, 2048 }, + { 4, 56, 2048 }, { 5, 57, 2048 }, { 5, 58, 2048 }, { 6, 59, 2048 }, { 5, 60, 2048 }, { 6, 61, 2048 }, { 6, 62, 2048 }, { 7, 63, 2048 }, + { 2, 64, 2048 }, { 3, 65, 2048 }, { 3, 66, 2048 }, { 4, 67, 2048 }, { 3, 68, 2048 }, { 4, 69, 2048 }, { 4, 70, 2048 }, { 5, 71, 2048 }, + { 3, 72, 2048 }, { 4, 73, 2048 }, { 4, 74, 2048 }, { 5, 75, 2048 }, { 4, 76, 2048 }, { 5, 77, 2048 }, { 5, 78, 2048 }, { 6, 79, 2048 }, + { 3, 80, 2048 }, { 4, 81, 2048 }, { 4, 82, 2048 }, { 5, 83, 2048 }, { 4, 84, 2048 }, { 5, 85, 2048 }, { 5, 86, 2048 }, { 6, 87, 2048 }, + { 4, 88, 2048 }, { 5, 89, 2048 }, { 5, 90, 2048 }, { 6, 91, 2048 }, { 5, 92, 2048 }, { 6, 93, 2048 }, { 6, 94, 2048 }, { 7, 95, 2048 }, + { 3, 96, 2048 }, { 4, 97, 2048 }, { 4, 98, 2048 }, { 5, 99, 2048 }, { 4, 100, 2048 }, { 5, 101, 2048 }, { 5, 102, 2048 }, { 6, 103, 2048 }, + { 4, 104, 2048 }, { 5, 105, 2048 }, { 5, 106, 2048 }, { 6, 107, 2048 }, { 5, 108, 2048 }, { 6, 109, 2048 }, { 6, 110, 2048 }, { 7, 111, 2048 }, + { 4, 112, 2048 }, { 5, 113, 2048 }, { 5, 114, 2048 }, { 6, 115, 2048 }, { 5, 116, 2048 }, { 6, 117, 2048 }, { 6, 118, 2048 }, { 7, 119, 2048 }, + { 5, 120, 2048 }, { 6, 121, 2048 }, { 6, 122, 2048 }, { 7, 123, 2048 }, { 6, 124, 2048 }, { 7, 125, 2048 }, { 7, 126, 2048 }, { 8, 127, 2048 }, + { 2, 128, 2048 }, { 3, 129, 2048 }, { 3, 130, 2048 }, { 4, 131, 2048 }, { 3, 132, 2048 }, { 4, 133, 2048 }, { 4, 134, 2048 }, { 5, 135, 2048 }, + { 3, 136, 2048 }, { 4, 137, 2048 }, { 4, 138, 2048 }, { 5, 139, 2048 }, { 4, 140, 2048 }, { 5, 141, 2048 }, { 5, 142, 2048 }, { 6, 143, 2048 }, + { 3, 144, 2048 }, { 4, 145, 2048 }, { 4, 146, 2048 }, { 5, 147, 2048 }, { 4, 148, 2048 }, { 5, 149, 2048 }, { 5, 150, 2048 }, { 6, 151, 2048 }, + { 4, 152, 2048 }, { 5, 153, 2048 }, { 5, 154, 2048 }, { 6, 155, 2048 }, { 5, 156, 2048 }, { 6, 157, 2048 }, { 6, 158, 2048 }, { 7, 159, 2048 }, + { 3, 160, 2048 }, { 4, 161, 2048 }, { 4, 162, 2048 }, { 5, 163, 2048 }, { 4, 164, 2048 }, { 5, 165, 2048 }, { 5, 166, 2048 }, { 6, 167, 2048 }, + { 4, 168, 2048 }, { 5, 169, 2048 }, { 5, 170, 2048 }, { 6, 171, 2048 }, { 5, 172, 2048 }, { 6, 173, 2048 }, { 6, 174, 2048 }, { 7, 175, 2048 }, + { 4, 176, 2048 }, { 5, 177, 2048 }, { 5, 178, 2048 }, { 6, 179, 2048 }, { 5, 180, 2048 }, { 6, 181, 2048 }, { 6, 182, 2048 }, { 7, 183, 2048 }, + { 5, 184, 2048 }, { 6, 185, 2048 }, { 6, 186, 2048 }, { 7, 187, 2048 }, { 6, 188, 2048 }, { 7, 189, 2048 }, { 7, 190, 2048 }, { 8, 191, 2048 }, + { 3, 192, 2048 }, { 4, 193, 2048 }, { 4, 194, 2048 }, { 5, 195, 2048 }, { 4, 196, 2048 }, { 5, 197, 2048 }, { 5, 198, 2048 }, { 6, 199, 2048 }, + { 4, 200, 2048 }, { 5, 201, 2048 }, { 5, 202, 2048 }, { 6, 203, 2048 }, { 5, 204, 2048 }, { 6, 205, 2048 }, { 6, 206, 2048 }, { 7, 207, 2048 }, + { 4, 208, 2048 }, { 5, 209, 2048 }, { 5, 210, 2048 }, { 6, 211, 2048 }, { 5, 212, 2048 }, { 6, 213, 2048 }, { 6, 214, 2048 }, { 7, 215, 2048 }, + { 5, 216, 2048 }, { 6, 217, 2048 }, { 6, 218, 2048 }, { 7, 219, 2048 }, { 6, 220, 2048 }, { 7, 221, 2048 }, { 7, 222, 2048 }, { 8, 223, 2048 }, + { 4, 224, 2048 }, { 5, 225, 2048 }, { 5, 226, 2048 }, { 6, 227, 2048 }, { 5, 228, 2048 }, { 6, 229, 2048 }, { 6, 230, 2048 }, { 7, 231, 2048 }, + { 5, 232, 2048 }, { 6, 233, 2048 }, { 6, 234, 2048 }, { 7, 235, 2048 }, { 6, 236, 2048 }, { 7, 237, 2048 }, { 7, 238, 2048 }, { 8, 239, 2048 }, + { 5, 240, 2048 }, { 6, 241, 2048 }, { 6, 242, 2048 }, { 7, 243, 2048 }, { 6, 244, 2048 }, { 7, 245, 2048 }, { 7, 246, 2048 }, { 8, 247, 2048 }, + { 6, 248, 2048 }, { 7, 249, 2048 }, { 7, 250, 2048 }, { 8, 251, 2048 }, { 7, 252, 2048 }, { 8, 253, 2048 }, { 8, 254, 2048 }, { 9, 255, 2048 }, + { 2, 256, 2048 }, { 3, 257, 2048 }, { 3, 258, 2048 }, { 4, 259, 2048 }, { 3, 260, 2048 }, { 4, 261, 2048 }, { 4, 262, 2048 }, { 5, 263, 2048 }, + { 3, 264, 2048 }, { 4, 265, 2048 }, { 4, 266, 2048 }, { 5, 267, 2048 }, { 4, 268, 2048 }, { 5, 269, 2048 }, { 5, 270, 2048 }, { 6, 271, 2048 }, + { 3, 272, 2048 }, { 4, 273, 2048 }, { 4, 274, 2048 }, { 5, 275, 2048 }, { 4, 276, 2048 }, { 5, 277, 2048 }, { 5, 278, 2048 }, { 6, 279, 2048 }, + { 4, 280, 2048 }, { 5, 281, 2048 }, { 5, 282, 2048 }, { 6, 283, 2048 }, { 5, 284, 2048 }, { 6, 285, 2048 }, { 6, 286, 2048 }, { 7, 287, 2048 }, + { 3, 288, 2048 }, { 4, 289, 2048 }, { 4, 290, 2048 }, { 5, 291, 2048 }, { 4, 292, 2048 }, { 5, 293, 2048 }, { 5, 294, 2048 }, { 6, 295, 2048 }, + { 4, 296, 2048 }, { 5, 297, 2048 }, { 5, 298, 2048 }, { 6, 299, 2048 }, { 5, 300, 2048 }, { 6, 301, 2048 }, { 6, 302, 2048 }, { 7, 303, 2048 }, + { 4, 304, 2048 }, { 5, 305, 2048 }, { 5, 306, 2048 }, { 6, 307, 2048 }, { 5, 308, 2048 }, { 6, 309, 2048 }, { 6, 310, 2048 }, { 7, 311, 2048 }, + { 5, 312, 2048 }, { 6, 313, 2048 }, { 6, 314, 2048 }, { 7, 315, 2048 }, { 6, 316, 2048 }, { 7, 317, 2048 }, { 7, 318, 2048 }, { 8, 319, 2048 }, + { 3, 320, 2048 }, { 4, 321, 2048 }, { 4, 322, 2048 }, { 5, 323, 2048 }, { 4, 324, 2048 }, { 5, 325, 2048 }, { 5, 326, 2048 }, { 6, 327, 2048 }, + { 4, 328, 2048 }, { 5, 329, 2048 }, { 5, 330, 2048 }, { 6, 331, 2048 }, { 5, 332, 2048 }, { 6, 333, 2048 }, { 6, 334, 2048 }, { 7, 335, 2048 }, + { 4, 336, 2048 }, { 5, 337, 2048 }, { 5, 338, 2048 }, { 6, 339, 2048 }, { 5, 340, 2048 }, { 6, 341, 2048 }, { 6, 342, 2048 }, { 7, 343, 2048 }, + { 5, 344, 2048 }, { 6, 345, 2048 }, { 6, 346, 2048 }, { 7, 347, 2048 }, { 6, 348, 2048 }, { 7, 349, 2048 }, { 7, 350, 2048 }, { 8, 351, 2048 }, + { 4, 352, 2048 }, { 5, 353, 2048 }, { 5, 354, 2048 }, { 6, 355, 2048 }, { 5, 356, 2048 }, { 6, 357, 2048 }, { 6, 358, 2048 }, { 7, 359, 2048 }, + { 5, 360, 2048 }, { 6, 361, 2048 }, { 6, 362, 2048 }, { 7, 363, 2048 }, { 6, 364, 2048 }, { 7, 365, 2048 }, { 7, 366, 2048 }, { 8, 367, 2048 }, + { 5, 368, 2048 }, { 6, 369, 2048 }, { 6, 370, 2048 }, { 7, 371, 2048 }, { 6, 372, 2048 }, { 7, 373, 2048 }, { 7, 374, 2048 }, { 8, 375, 2048 }, + { 6, 376, 2048 }, { 7, 377, 2048 }, { 7, 378, 2048 }, { 8, 379, 2048 }, { 7, 380, 2048 }, { 8, 381, 2048 }, { 8, 382, 2048 }, { 9, 383, 2048 }, + { 3, 384, 2048 }, { 4, 385, 2048 }, { 4, 386, 2048 }, { 5, 387, 2048 }, { 4, 388, 2048 }, { 5, 389, 2048 }, { 5, 390, 2048 }, { 6, 391, 2048 }, + { 4, 392, 2048 }, { 5, 393, 2048 }, { 5, 394, 2048 }, { 6, 395, 2048 }, { 5, 396, 2048 }, { 6, 397, 2048 }, { 6, 398, 2048 }, { 7, 399, 2048 }, + { 4, 400, 2048 }, { 5, 401, 2048 }, { 5, 402, 2048 }, { 6, 403, 2048 }, { 5, 404, 2048 }, { 6, 405, 2048 }, { 6, 406, 2048 }, { 7, 407, 2048 }, + { 5, 408, 2048 }, { 6, 409, 2048 }, { 6, 410, 2048 }, { 7, 411, 2048 }, { 6, 412, 2048 }, { 7, 413, 2048 }, { 7, 414, 2048 }, { 8, 415, 2048 }, + { 4, 416, 2048 }, { 5, 417, 2048 }, { 5, 418, 2048 }, { 6, 419, 2048 }, { 5, 420, 2048 }, { 6, 421, 2048 }, { 6, 422, 2048 }, { 7, 423, 2048 }, + { 5, 424, 2048 }, { 6, 425, 2048 }, { 6, 426, 2048 }, { 7, 427, 2048 }, { 6, 428, 2048 }, { 7, 429, 2048 }, { 7, 430, 2048 }, { 8, 431, 2048 }, + { 5, 432, 2048 }, { 6, 433, 2048 }, { 6, 434, 2048 }, { 7, 435, 2048 }, { 6, 436, 2048 }, { 7, 437, 2048 }, { 7, 438, 2048 }, { 8, 439, 2048 }, + { 6, 440, 2048 }, { 7, 441, 2048 }, { 7, 442, 2048 }, { 8, 443, 2048 }, { 7, 444, 2048 }, { 8, 445, 2048 }, { 8, 446, 2048 }, { 9, 447, 2048 }, + { 4, 448, 2048 }, { 5, 449, 2048 }, { 5, 450, 2048 }, { 6, 451, 2048 }, { 5, 452, 2048 }, { 6, 453, 2048 }, { 6, 454, 2048 }, { 7, 455, 2048 }, + { 5, 456, 2048 }, { 6, 457, 2048 }, { 6, 458, 2048 }, { 7, 459, 2048 }, { 6, 460, 2048 }, { 7, 461, 2048 }, { 7, 462, 2048 }, { 8, 463, 2048 }, + { 5, 464, 2048 }, { 6, 465, 2048 }, { 6, 466, 2048 }, { 7, 467, 2048 }, { 6, 468, 2048 }, { 7, 469, 2048 }, { 7, 470, 2048 }, { 8, 471, 2048 }, + { 6, 472, 2048 }, { 7, 473, 2048 }, { 7, 474, 2048 }, { 8, 475, 2048 }, { 7, 476, 2048 }, { 8, 477, 2048 }, { 8, 478, 2048 }, { 9, 479, 2048 }, + { 5, 480, 2048 }, { 6, 481, 2048 }, { 6, 482, 2048 }, { 7, 483, 2048 }, { 6, 484, 2048 }, { 7, 485, 2048 }, { 7, 486, 2048 }, { 8, 487, 2048 }, + { 6, 488, 2048 }, { 7, 489, 2048 }, { 7, 490, 2048 }, { 8, 491, 2048 }, { 7, 492, 2048 }, { 8, 493, 2048 }, { 8, 494, 2048 }, { 9, 495, 2048 }, + { 6, 496, 2048 }, { 7, 497, 2048 }, { 7, 498, 2048 }, { 8, 499, 2048 }, { 7, 500, 2048 }, { 8, 501, 2048 }, { 8, 502, 2048 }, { 9, 503, 2048 }, + { 7, 504, 2048 }, { 8, 505, 2048 }, { 8, 506, 2048 }, { 9, 507, 2048 }, { 8, 508, 2048 }, { 9, 509, 2048 }, { 9, 510, 2048 }, { 10, 511, 2048 }, + { 2, 512, 2048 }, { 3, 513, 2048 }, { 3, 514, 2048 }, { 4, 515, 2048 }, { 3, 516, 2048 }, { 4, 517, 2048 }, { 4, 518, 2048 }, { 5, 519, 2048 }, + { 3, 520, 2048 }, { 4, 521, 2048 }, 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{ 7, 1429, 2048 }, { 7, 1430, 2048 }, { 8, 1431, 2048 }, + { 6, 1432, 2048 }, { 7, 1433, 2048 }, { 7, 1434, 2048 }, { 8, 1435, 2048 }, { 7, 1436, 2048 }, { 8, 1437, 2048 }, { 8, 1438, 2048 }, { 9, 1439, 2048 }, + { 5, 1440, 2048 }, { 6, 1441, 2048 }, { 6, 1442, 2048 }, { 7, 1443, 2048 }, { 6, 1444, 2048 }, { 7, 1445, 2048 }, { 7, 1446, 2048 }, { 8, 1447, 2048 }, + { 6, 1448, 2048 }, { 7, 1449, 2048 }, { 7, 1450, 2048 }, { 8, 1451, 2048 }, { 7, 1452, 2048 }, { 8, 1453, 2048 }, { 8, 1454, 2048 }, { 9, 1455, 2048 }, + { 6, 1456, 2048 }, { 7, 1457, 2048 }, { 7, 1458, 2048 }, { 8, 1459, 2048 }, { 7, 1460, 2048 }, { 8, 1461, 2048 }, { 8, 1462, 2048 }, { 9, 1463, 2048 }, + { 7, 1464, 2048 }, { 8, 1465, 2048 }, { 8, 1466, 2048 }, { 9, 1467, 2048 }, { 8, 1468, 2048 }, { 9, 1469, 2048 }, { 9, 1470, 2048 }, { 10, 1471, 2048 }, + { 5, 1472, 2048 }, { 6, 1473, 2048 }, { 6, 1474, 2048 }, { 7, 1475, 2048 }, { 6, 1476, 2048 }, { 7, 1477, 2048 }, { 7, 1478, 2048 }, { 8, 1479, 2048 }, + { 6, 1480, 2048 }, { 7, 1481, 2048 }, { 7, 1482, 2048 }, { 8, 1483, 2048 }, { 7, 1484, 2048 }, { 8, 1485, 2048 }, { 8, 1486, 2048 }, { 9, 1487, 2048 }, + { 6, 1488, 2048 }, { 7, 1489, 2048 }, { 7, 1490, 2048 }, { 8, 1491, 2048 }, { 7, 1492, 2048 }, { 8, 1493, 2048 }, { 8, 1494, 2048 }, { 9, 1495, 2048 }, + { 7, 1496, 2048 }, { 8, 1497, 2048 }, { 8, 1498, 2048 }, { 9, 1499, 2048 }, { 8, 1500, 2048 }, { 9, 1501, 2048 }, { 9, 1502, 2048 }, { 10, 1503, 2048 }, + { 6, 1504, 2048 }, { 7, 1505, 2048 }, { 7, 1506, 2048 }, { 8, 1507, 2048 }, { 7, 1508, 2048 }, { 8, 1509, 2048 }, { 8, 1510, 2048 }, { 9, 1511, 2048 }, + { 7, 1512, 2048 }, { 8, 1513, 2048 }, { 8, 1514, 2048 }, { 9, 1515, 2048 }, { 8, 1516, 2048 }, { 9, 1517, 2048 }, { 9, 1518, 2048 }, { 10, 1519, 2048 }, + { 7, 1520, 2048 }, { 8, 1521, 2048 }, { 8, 1522, 2048 }, { 9, 1523, 2048 }, { 8, 1524, 2048 }, { 9, 1525, 2048 }, { 9, 1526, 2048 }, { 10, 1527, 2048 }, + { 8, 1528, 2048 }, { 9, 1529, 2048 }, { 9, 1530, 2048 }, { 10, 1531, 2048 }, { 9, 1532, 2048 }, { 10, 1533, 2048 }, { 10, 1534, 2048 }, { 11, 1535, 2048 }, + { 3, 1536, 2048 }, { 4, 1537, 2048 }, { 4, 1538, 2048 }, { 5, 1539, 2048 }, { 4, 1540, 2048 }, { 5, 1541, 2048 }, { 5, 1542, 2048 }, { 6, 1543, 2048 }, + { 4, 1544, 2048 }, { 5, 1545, 2048 }, { 5, 1546, 2048 }, { 6, 1547, 2048 }, { 5, 1548, 2048 }, { 6, 1549, 2048 }, { 6, 1550, 2048 }, { 7, 1551, 2048 }, + { 4, 1552, 2048 }, { 5, 1553, 2048 }, { 5, 1554, 2048 }, { 6, 1555, 2048 }, { 5, 1556, 2048 }, { 6, 1557, 2048 }, { 6, 1558, 2048 }, { 7, 1559, 2048 }, + { 5, 1560, 2048 }, { 6, 1561, 2048 }, { 6, 1562, 2048 }, { 7, 1563, 2048 }, { 6, 1564, 2048 }, { 7, 1565, 2048 }, { 7, 1566, 2048 }, { 8, 1567, 2048 }, + { 4, 1568, 2048 }, { 5, 1569, 2048 }, { 5, 1570, 2048 }, { 6, 1571, 2048 }, { 5, 1572, 2048 }, { 6, 1573, 2048 }, { 6, 1574, 2048 }, { 7, 1575, 2048 }, + { 5, 1576, 2048 }, { 6, 1577, 2048 }, { 6, 1578, 2048 }, { 7, 1579, 2048 }, { 6, 1580, 2048 }, { 7, 1581, 2048 }, { 7, 1582, 2048 }, { 8, 1583, 2048 }, + { 5, 1584, 2048 }, { 6, 1585, 2048 }, { 6, 1586, 2048 }, { 7, 1587, 2048 }, { 6, 1588, 2048 }, { 7, 1589, 2048 }, { 7, 1590, 2048 }, { 8, 1591, 2048 }, + { 6, 1592, 2048 }, { 7, 1593, 2048 }, { 7, 1594, 2048 }, { 8, 1595, 2048 }, { 7, 1596, 2048 }, { 8, 1597, 2048 }, { 8, 1598, 2048 }, { 9, 1599, 2048 }, + { 4, 1600, 2048 }, { 5, 1601, 2048 }, { 5, 1602, 2048 }, { 6, 1603, 2048 }, { 5, 1604, 2048 }, { 6, 1605, 2048 }, { 6, 1606, 2048 }, { 7, 1607, 2048 }, + { 5, 1608, 2048 }, { 6, 1609, 2048 }, { 6, 1610, 2048 }, { 7, 1611, 2048 }, { 6, 1612, 2048 }, { 7, 1613, 2048 }, { 7, 1614, 2048 }, { 8, 1615, 2048 }, + { 5, 1616, 2048 }, { 6, 1617, 2048 }, { 6, 1618, 2048 }, { 7, 1619, 2048 }, { 6, 1620, 2048 }, { 7, 1621, 2048 }, { 7, 1622, 2048 }, { 8, 1623, 2048 }, + { 6, 1624, 2048 }, { 7, 1625, 2048 }, { 7, 1626, 2048 }, { 8, 1627, 2048 }, { 7, 1628, 2048 }, { 8, 1629, 2048 }, { 8, 1630, 2048 }, { 9, 1631, 2048 }, + { 5, 1632, 2048 }, { 6, 1633, 2048 }, { 6, 1634, 2048 }, { 7, 1635, 2048 }, { 6, 1636, 2048 }, { 7, 1637, 2048 }, { 7, 1638, 2048 }, { 8, 1639, 2048 }, + { 6, 1640, 2048 }, { 7, 1641, 2048 }, { 7, 1642, 2048 }, { 8, 1643, 2048 }, { 7, 1644, 2048 }, { 8, 1645, 2048 }, { 8, 1646, 2048 }, { 9, 1647, 2048 }, + { 6, 1648, 2048 }, { 7, 1649, 2048 }, { 7, 1650, 2048 }, { 8, 1651, 2048 }, { 7, 1652, 2048 }, { 8, 1653, 2048 }, { 8, 1654, 2048 }, { 9, 1655, 2048 }, + { 7, 1656, 2048 }, { 8, 1657, 2048 }, { 8, 1658, 2048 }, { 9, 1659, 2048 }, { 8, 1660, 2048 }, { 9, 1661, 2048 }, { 9, 1662, 2048 }, { 10, 1663, 2048 }, + { 4, 1664, 2048 }, { 5, 1665, 2048 }, { 5, 1666, 2048 }, { 6, 1667, 2048 }, { 5, 1668, 2048 }, { 6, 1669, 2048 }, { 6, 1670, 2048 }, { 7, 1671, 2048 }, + { 5, 1672, 2048 }, { 6, 1673, 2048 }, { 6, 1674, 2048 }, { 7, 1675, 2048 }, { 6, 1676, 2048 }, { 7, 1677, 2048 }, { 7, 1678, 2048 }, { 8, 1679, 2048 }, + { 5, 1680, 2048 }, { 6, 1681, 2048 }, { 6, 1682, 2048 }, { 7, 1683, 2048 }, { 6, 1684, 2048 }, { 7, 1685, 2048 }, { 7, 1686, 2048 }, { 8, 1687, 2048 }, + { 6, 1688, 2048 }, { 7, 1689, 2048 }, { 7, 1690, 2048 }, { 8, 1691, 2048 }, { 7, 1692, 2048 }, { 8, 1693, 2048 }, { 8, 1694, 2048 }, { 9, 1695, 2048 }, + { 5, 1696, 2048 }, { 6, 1697, 2048 }, { 6, 1698, 2048 }, { 7, 1699, 2048 }, { 6, 1700, 2048 }, { 7, 1701, 2048 }, { 7, 1702, 2048 }, { 8, 1703, 2048 }, + { 6, 1704, 2048 }, { 7, 1705, 2048 }, { 7, 1706, 2048 }, { 8, 1707, 2048 }, { 7, 1708, 2048 }, { 8, 1709, 2048 }, { 8, 1710, 2048 }, { 9, 1711, 2048 }, + { 6, 1712, 2048 }, { 7, 1713, 2048 }, { 7, 1714, 2048 }, { 8, 1715, 2048 }, { 7, 1716, 2048 }, { 8, 1717, 2048 }, { 8, 1718, 2048 }, { 9, 1719, 2048 }, + { 7, 1720, 2048 }, { 8, 1721, 2048 }, { 8, 1722, 2048 }, { 9, 1723, 2048 }, { 8, 1724, 2048 }, { 9, 1725, 2048 }, { 9, 1726, 2048 }, { 10, 1727, 2048 }, + { 5, 1728, 2048 }, { 6, 1729, 2048 }, { 6, 1730, 2048 }, { 7, 1731, 2048 }, { 6, 1732, 2048 }, { 7, 1733, 2048 }, { 7, 1734, 2048 }, { 8, 1735, 2048 }, + { 6, 1736, 2048 }, { 7, 1737, 2048 }, { 7, 1738, 2048 }, { 8, 1739, 2048 }, { 7, 1740, 2048 }, { 8, 1741, 2048 }, { 8, 1742, 2048 }, { 9, 1743, 2048 }, + { 6, 1744, 2048 }, { 7, 1745, 2048 }, { 7, 1746, 2048 }, { 8, 1747, 2048 }, { 7, 1748, 2048 }, { 8, 1749, 2048 }, { 8, 1750, 2048 }, { 9, 1751, 2048 }, + { 7, 1752, 2048 }, { 8, 1753, 2048 }, { 8, 1754, 2048 }, { 9, 1755, 2048 }, { 8, 1756, 2048 }, { 9, 1757, 2048 }, { 9, 1758, 2048 }, { 10, 1759, 2048 }, + { 6, 1760, 2048 }, { 7, 1761, 2048 }, { 7, 1762, 2048 }, { 8, 1763, 2048 }, { 7, 1764, 2048 }, { 8, 1765, 2048 }, { 8, 1766, 2048 }, { 9, 1767, 2048 }, + { 7, 1768, 2048 }, { 8, 1769, 2048 }, { 8, 1770, 2048 }, { 9, 1771, 2048 }, { 8, 1772, 2048 }, { 9, 1773, 2048 }, { 9, 1774, 2048 }, { 10, 1775, 2048 }, + { 7, 1776, 2048 }, { 8, 1777, 2048 }, { 8, 1778, 2048 }, { 9, 1779, 2048 }, { 8, 1780, 2048 }, { 9, 1781, 2048 }, { 9, 1782, 2048 }, { 10, 1783, 2048 }, + { 8, 1784, 2048 }, { 9, 1785, 2048 }, { 9, 1786, 2048 }, { 10, 1787, 2048 }, { 9, 1788, 2048 }, { 10, 1789, 2048 }, { 10, 1790, 2048 }, { 11, 1791, 2048 }, + { 4, 1792, 2048 }, { 5, 1793, 2048 }, { 5, 1794, 2048 }, { 6, 1795, 2048 }, { 5, 1796, 2048 }, { 6, 1797, 2048 }, { 6, 1798, 2048 }, { 7, 1799, 2048 }, + { 5, 1800, 2048 }, { 6, 1801, 2048 }, { 6, 1802, 2048 }, { 7, 1803, 2048 }, { 6, 1804, 2048 }, { 7, 1805, 2048 }, { 7, 1806, 2048 }, { 8, 1807, 2048 }, + { 5, 1808, 2048 }, { 6, 1809, 2048 }, { 6, 1810, 2048 }, { 7, 1811, 2048 }, { 6, 1812, 2048 }, { 7, 1813, 2048 }, { 7, 1814, 2048 }, { 8, 1815, 2048 }, + { 6, 1816, 2048 }, { 7, 1817, 2048 }, { 7, 1818, 2048 }, { 8, 1819, 2048 }, { 7, 1820, 2048 }, { 8, 1821, 2048 }, { 8, 1822, 2048 }, { 9, 1823, 2048 }, + { 5, 1824, 2048 }, { 6, 1825, 2048 }, { 6, 1826, 2048 }, { 7, 1827, 2048 }, { 6, 1828, 2048 }, { 7, 1829, 2048 }, { 7, 1830, 2048 }, { 8, 1831, 2048 }, + { 6, 1832, 2048 }, { 7, 1833, 2048 }, { 7, 1834, 2048 }, { 8, 1835, 2048 }, { 7, 1836, 2048 }, { 8, 1837, 2048 }, { 8, 1838, 2048 }, { 9, 1839, 2048 }, + { 6, 1840, 2048 }, { 7, 1841, 2048 }, { 7, 1842, 2048 }, { 8, 1843, 2048 }, { 7, 1844, 2048 }, { 8, 1845, 2048 }, { 8, 1846, 2048 }, { 9, 1847, 2048 }, + { 7, 1848, 2048 }, { 8, 1849, 2048 }, { 8, 1850, 2048 }, { 9, 1851, 2048 }, { 8, 1852, 2048 }, { 9, 1853, 2048 }, { 9, 1854, 2048 }, { 10, 1855, 2048 }, + { 5, 1856, 2048 }, { 6, 1857, 2048 }, { 6, 1858, 2048 }, { 7, 1859, 2048 }, { 6, 1860, 2048 }, { 7, 1861, 2048 }, { 7, 1862, 2048 }, { 8, 1863, 2048 }, + { 6, 1864, 2048 }, { 7, 1865, 2048 }, { 7, 1866, 2048 }, { 8, 1867, 2048 }, { 7, 1868, 2048 }, { 8, 1869, 2048 }, { 8, 1870, 2048 }, { 9, 1871, 2048 }, + { 6, 1872, 2048 }, { 7, 1873, 2048 }, { 7, 1874, 2048 }, { 8, 1875, 2048 }, { 7, 1876, 2048 }, { 8, 1877, 2048 }, { 8, 1878, 2048 }, { 9, 1879, 2048 }, + { 7, 1880, 2048 }, { 8, 1881, 2048 }, { 8, 1882, 2048 }, { 9, 1883, 2048 }, { 8, 1884, 2048 }, { 9, 1885, 2048 }, { 9, 1886, 2048 }, { 10, 1887, 2048 }, + { 6, 1888, 2048 }, { 7, 1889, 2048 }, { 7, 1890, 2048 }, { 8, 1891, 2048 }, { 7, 1892, 2048 }, { 8, 1893, 2048 }, { 8, 1894, 2048 }, { 9, 1895, 2048 }, + { 7, 1896, 2048 }, { 8, 1897, 2048 }, { 8, 1898, 2048 }, { 9, 1899, 2048 }, { 8, 1900, 2048 }, { 9, 1901, 2048 }, { 9, 1902, 2048 }, { 10, 1903, 2048 }, + { 7, 1904, 2048 }, { 8, 1905, 2048 }, { 8, 1906, 2048 }, { 9, 1907, 2048 }, { 8, 1908, 2048 }, { 9, 1909, 2048 }, { 9, 1910, 2048 }, { 10, 1911, 2048 }, + { 8, 1912, 2048 }, { 9, 1913, 2048 }, { 9, 1914, 2048 }, { 10, 1915, 2048 }, { 9, 1916, 2048 }, { 10, 1917, 2048 }, { 10, 1918, 2048 }, { 11, 1919, 2048 }, + { 5, 1920, 2048 }, { 6, 1921, 2048 }, { 6, 1922, 2048 }, { 7, 1923, 2048 }, { 6, 1924, 2048 }, { 7, 1925, 2048 }, { 7, 1926, 2048 }, { 8, 1927, 2048 }, + { 6, 1928, 2048 }, { 7, 1929, 2048 }, { 7, 1930, 2048 }, { 8, 1931, 2048 }, { 7, 1932, 2048 }, { 8, 1933, 2048 }, { 8, 1934, 2048 }, { 9, 1935, 2048 }, + { 6, 1936, 2048 }, { 7, 1937, 2048 }, { 7, 1938, 2048 }, { 8, 1939, 2048 }, { 7, 1940, 2048 }, { 8, 1941, 2048 }, { 8, 1942, 2048 }, { 9, 1943, 2048 }, + { 7, 1944, 2048 }, { 8, 1945, 2048 }, { 8, 1946, 2048 }, { 9, 1947, 2048 }, { 8, 1948, 2048 }, { 9, 1949, 2048 }, { 9, 1950, 2048 }, { 10, 1951, 2048 }, + { 6, 1952, 2048 }, { 7, 1953, 2048 }, { 7, 1954, 2048 }, { 8, 1955, 2048 }, { 7, 1956, 2048 }, { 8, 1957, 2048 }, { 8, 1958, 2048 }, { 9, 1959, 2048 }, + { 7, 1960, 2048 }, { 8, 1961, 2048 }, { 8, 1962, 2048 }, { 9, 1963, 2048 }, { 8, 1964, 2048 }, { 9, 1965, 2048 }, { 9, 1966, 2048 }, { 10, 1967, 2048 }, + { 7, 1968, 2048 }, { 8, 1969, 2048 }, { 8, 1970, 2048 }, { 9, 1971, 2048 }, { 8, 1972, 2048 }, { 9, 1973, 2048 }, { 9, 1974, 2048 }, { 10, 1975, 2048 }, + { 8, 1976, 2048 }, { 9, 1977, 2048 }, { 9, 1978, 2048 }, { 10, 1979, 2048 }, { 9, 1980, 2048 }, { 10, 1981, 2048 }, { 10, 1982, 2048 }, { 11, 1983, 2048 }, + { 6, 1984, 2048 }, { 7, 1985, 2048 }, { 7, 1986, 2048 }, { 8, 1987, 2048 }, { 7, 1988, 2048 }, { 8, 1989, 2048 }, { 8, 1990, 2048 }, { 9, 1991, 2048 }, + { 7, 1992, 2048 }, { 8, 1993, 2048 }, { 8, 1994, 2048 }, { 9, 1995, 2048 }, { 8, 1996, 2048 }, { 9, 1997, 2048 }, { 9, 1998, 2048 }, { 10, 1999, 2048 }, + { 7, 2000, 2048 }, { 8, 2001, 2048 }, { 8, 2002, 2048 }, { 9, 2003, 2048 }, { 8, 2004, 2048 }, { 9, 2005, 2048 }, { 9, 2006, 2048 }, { 10, 2007, 2048 }, + { 8, 2008, 2048 }, { 9, 2009, 2048 }, { 9, 2010, 2048 }, { 10, 2011, 2048 }, { 9, 2012, 2048 }, { 10, 2013, 2048 }, { 10, 2014, 2048 }, { 11, 2015, 2048 }, + { 7, 2016, 2048 }, { 8, 2017, 2048 }, { 8, 2018, 2048 }, { 9, 2019, 2048 }, { 8, 2020, 2048 }, { 9, 2021, 2048 }, { 9, 2022, 2048 }, { 10, 2023, 2048 }, + { 8, 2024, 2048 }, { 9, 2025, 2048 }, { 9, 2026, 2048 }, { 10, 2027, 2048 }, { 9, 2028, 2048 }, { 10, 2029, 2048 }, { 10, 2030, 2048 }, { 11, 2031, 2048 }, + { 8, 2032, 2048 }, { 9, 2033, 2048 }, { 9, 2034, 2048 }, { 10, 2035, 2048 }, { 9, 2036, 2048 }, { 10, 2037, 2048 }, { 10, 2038, 2048 }, { 11, 2039, 2048 }, + { 9, 2040, 2048 }, { 10, 2041, 2048 }, { 10, 2042, 2048 }, { 11, 2043, 2048 }, { 10, 2044, 2048 }, { 11, 2045, 2048 }, { 11, 2046, 2048 }, { 12, 2047, 2048 }, +#endif +#endif +#endif +#endif +#endif +#endif +}; + +/* find a hole and free as required */ +static int find_hole(void) +{ + int x, y, z; + for (z = 0, y = INT_MAX, x = 0; x < FP_ENTRIES; x++) { + if (fp_cache[x].lru_count < y) { + z = x; + y = fp_cache[x].lru_count; + } + } + + /* decrease all */ + for (x = 0; x < FP_ENTRIES; x++) { + if (fp_cache[x].lru_count > 3) { + --(fp_cache[x].lru_count); + } + } + + /* free entry z */ + if (fp_cache[z].g) { + ltc_ecc_del_point(fp_cache[z].g); + fp_cache[z].g = NULL; + for (x = 0; x < (1<x, g->x) == LTC_MP_EQ && + mp_cmp(fp_cache[x].g->y, g->y) == LTC_MP_EQ && + mp_cmp(fp_cache[x].g->z, g->z) == LTC_MP_EQ) { + break; + } + } + if (x == FP_ENTRIES) { + x = -1; + } + return x; +} + +static int add_entry(int idx, ecc_point *g) +{ + int x, y; + + /* allocate base and LUT */ + fp_cache[idx].g = ltc_ecc_new_point(); + if (fp_cache[idx].g == NULL) { + return CRYPT_MEM; + } + + /* copy x and y */ + if ((mp_copy(g->x, fp_cache[idx].g->x) != CRYPT_OK) || + (mp_copy(g->y, fp_cache[idx].g->y) != CRYPT_OK) || + (mp_copy(g->z, fp_cache[idx].g->z) != CRYPT_OK)) { + ltc_ecc_del_point(fp_cache[idx].g); + fp_cache[idx].g = NULL; + return CRYPT_MEM; + } + + for (x = 0; x < (1<x, mu, modulus, fp_cache[idx].LUT[1]->x) != CRYPT_OK) || + (mp_mulmod(fp_cache[idx].g->y, mu, modulus, fp_cache[idx].LUT[1]->y) != CRYPT_OK) || + (mp_mulmod(fp_cache[idx].g->z, mu, modulus, fp_cache[idx].LUT[1]->z) != CRYPT_OK)) { goto ERR; } + + /* make all single bit entries */ + for (x = 1; x < FP_LUT; x++) { + if ((mp_copy(fp_cache[idx].LUT[1<<(x-1)]->x, fp_cache[idx].LUT[1<x) != CRYPT_OK) || + (mp_copy(fp_cache[idx].LUT[1<<(x-1)]->y, fp_cache[idx].LUT[1<y) != CRYPT_OK) || + (mp_copy(fp_cache[idx].LUT[1<<(x-1)]->z, fp_cache[idx].LUT[1<z) != CRYPT_OK)) { goto ERR; } + + /* now double it bitlen/FP_LUT times */ + for (y = 0; y < lut_gap; y++) { + if ((err = ltc_mp.ecc_ptdbl(fp_cache[idx].LUT[1< mp_unsigned_bin_size(modulus)) { + /* find order */ + y = mp_unsigned_bin_size(modulus); + for (x = 0; ltc_ecc_sets[x].size; x++) { + if (y <= (unsigned)ltc_ecc_sets[x].size) break; + } + + /* back off if we are on the 521 bit curve */ + if (y == 66) --x; + + if ((err = mp_init(&order)) != CRYPT_OK) { + return err; + } + if ((err = mp_read_radix(order, ltc_ecc_sets[x].order, 16)) != CRYPT_OK) { + mp_clear(&order); + return err; + } + + /* k must be less than modulus */ + if (mp_cmp(k, order) != LTC_MP_LT) { + if ((err = mp_init(&tk)) != CRYPT_OK) { + mp_clear(order); + return err; + } + if ((err = mp_mod(k, order, tk)) != CRYPT_OK) { + mp_clear(tk); + mp_clear(order); + return err; + } + } else { + tk = k; + } + mp_clear(order); + } else { + tk = k; + } + + /* get bitlen and round up to next multiple of FP_LUT */ + bitlen = mp_unsigned_bin_size(modulus) << 3; + x = bitlen % FP_LUT; + if (x) { + bitlen += FP_LUT - x; + } + lut_gap = bitlen / FP_LUT; + + /* get the k value */ + if (mp_unsigned_bin_size(tk) > (sizeof(kb) - 2)) { + if (tk != k) { + mp_clear(tk); + } + return CRYPT_BUFFER_OVERFLOW; + } + + /* store k */ + zeromem(kb, sizeof(kb)); + if ((err = mp_to_unsigned_bin(tk, kb)) != CRYPT_OK) { + if (tk != k) { + mp_clear(tk); + } + return err; + } + + /* let's reverse kb so it's little endian */ + x = 0; + y = mp_unsigned_bin_size(tk) - 1; + if (tk != k) { + mp_clear(tk); + } + while ((unsigned)x < y) { + z = kb[x]; kb[x] = kb[y]; kb[y] = z; + ++x; --y; + } + + /* at this point we can start, yipee */ + first = 1; + for (x = lut_gap-1; x >= 0; x--) { + /* extract FP_LUT bits from kb spread out by lut_gap bits and offset by x bits from the start */ + bitpos = x; + for (y = z = 0; y < FP_LUT; y++) { + z |= ((kb[bitpos>>3] >> (bitpos&7)) & 1) << y; + bitpos += lut_gap; /* it's y*lut_gap + x, but here we can avoid the mult in each loop */ + } + + /* double if not first */ + if (!first) { + if ((err = ltc_mp.ecc_ptdbl(R, R, modulus, mp)) != CRYPT_OK) { + return err; + } + } + + /* add if not first, otherwise copy */ + if (!first && z) { + if ((err = ltc_mp.ecc_ptadd(R, fp_cache[idx].LUT[z], R, modulus, mp)) != CRYPT_OK) { + return err; + } + } else if (z) { + if ((mp_copy(fp_cache[idx].LUT[z]->x, R->x) != CRYPT_OK) || + (mp_copy(fp_cache[idx].LUT[z]->y, R->y) != CRYPT_OK) || + (mp_copy(fp_cache[idx].LUT[z]->z, R->z) != CRYPT_OK)) { return CRYPT_MEM; } + first = 0; + } + } + z = 0; + zeromem(kb, sizeof(kb)); + /* map R back from projective space */ + if (map) { + err = ltc_ecc_map(R, modulus, mp); + } else { + err = CRYPT_OK; + } + return err; +} + +int ltc_ecc_fp_mulmod(void *k, ecc_point *G, ecc_point *R, void *modulus, int map) +{ + int idx, err; + void *mp, *mu; + + mp = NULL; + mu = NULL; + LTC_MUTEX_LOCK(<c_ecc_fp_lock); + /* find point */ + idx = find_base(G); + + /* no entry? */ + if (idx == -1) { + /* find hole and add it */ + idx = find_hole(); + + if ((err = add_entry(idx, G)) != CRYPT_OK) { + goto LBL_ERR; + } + } + + /* increment LRU */ + ++(fp_cache[idx].lru_count); + + /* if it's 2 build the LUT, if it's higher just use the LUT */ + if (fp_cache[idx].lru_count == 2) { + /* compute mp */ + if ((err = mp_montgomery_setup(modulus, &mp)) != CRYPT_OK) { goto LBL_ERR; } + + /* compute mu */ + if ((err = mp_init(&mu)) != CRYPT_OK) { + goto LBL_ERR; + } + if ((err = mp_montgomery_normalization(mu, modulus)) != CRYPT_OK) { + goto LBL_ERR; + } + + /* build the LUT */ + if ((err = build_lut(idx, modulus, mp, mu)) != CRYPT_OK) { + goto LBL_ERR;; + } + } + + if (fp_cache[idx].lru_count >= 2) { + if (mp == NULL) { + /* compute mp */ + if ((err = mp_montgomery_setup(modulus, &mp)) != CRYPT_OK) { goto LBL_ERR; } + } + err = accel_fp_mul(idx, k, R, modulus, mp, map); + } else { + err = ltc_ecc_mulmod(k, G, R, modulus, map); + } +LBL_ERR: + LTC_MUTEX_UNLOCK(<c_ecc_fp_lock); + if (mp != NULL) { + mp_montgomery_free(mp); + } + if (mu != NULL) { + mp_clear(mu); + } + return err; +} + +void ltc_ecc_fp_free(void) +{ + int x, y; + LTC_MUTEX_LOCK(<c_ecc_fp_lock); + for (x = 0; x < FP_ENTRIES; x++) { + if (fp_cache[x].g != NULL) { + for (y = 0; y < (1< #include -static const struct { - int gmp_code, ltc_code; -} gmp_to_ltc_codes[] = { - { GMP_ERROR_NONE, CRYPT_OK}, - { GMP_ERROR_ALLOCATE, CRYPT_MEM}, - { GMP_ERROR_DIVISION_BY_ZERO, CRYPT_INVALID_ARG}, - { GMP_ERROR_UNSUPPORTED_ARGUMENT, CRYPT_INVALID_ARG}, -}; - -/** - Convert a GMP error to a LTC error (Possibly the most powerful function ever! Oh wait... no) - @param err The error to convert - @return The equivalent LTC error code or CRYPT_ERROR if none found -*/ -static int gmp_to_ltc_error(int err) -{ - int x; - - for (x = 0; x < (int)(sizeof(gmp_to_ltc_codes)/sizeof(gmp_to_ltc_codes[0])); x++) { - if (err == gmp_to_ltc_codes[x].gmp_code) { - return gmp_to_ltc_codes[x].ltc_code; - } - } - return CRYPT_ERROR; -} - static int init(void **a) { LTC_ARGCHK(a != NULL); @@ -147,6 +121,13 @@ static int count_bits(void *a) return mpz_sizeinbase(a, 2); } +static int count_lsb_bits(void *a) +{ + LTC_ARGCHK(a != NULL); + return mpz_scan1(a, 0); +} + + static int twoexpt(void *a, int n) { LTC_ARGCHK(a != NULL); @@ -415,6 +396,7 @@ const ltc_math_descriptor gmp_desc = { &compare, &compare_d, &count_bits, + &count_lsb_bits, &twoexpt, &read_radix, @@ -448,7 +430,11 @@ const ltc_math_descriptor gmp_desc = { &isprime, #ifdef MECC +#ifdef MECC_FP + <c_ecc_fp_mulmod, +#else <c_ecc_mulmod, +#endif /* MECC_FP */ <c_ecc_projective_add_point, <c_ecc_projective_dbl_point, <c_ecc_map, diff --git a/src/math/ltm_desc.c b/src/math/ltm_desc.c index 5508e1d..044b7c4 100644 --- a/src/math/ltm_desc.c +++ b/src/math/ltm_desc.c @@ -149,6 +149,13 @@ static int count_bits(void *a) return mp_count_bits(a); } +static int count_lsb_bits(void *a) +{ + LTC_ARGCHK(a != NULL); + return mp_cnt_lsb(a); +} + + static int twoexpt(void *a, int n) { LTC_ARGCHK(a != NULL); @@ -396,6 +403,7 @@ const ltc_math_descriptor ltm_desc = { &compare, &compare_d, &count_bits, + &count_lsb_bits, &twoexpt, &read_radix, @@ -429,7 +437,11 @@ const ltc_math_descriptor ltm_desc = { &isprime, #ifdef MECC +#ifdef MECC_FP + <c_ecc_fp_mulmod, +#else <c_ecc_mulmod, +#endif <c_ecc_projective_add_point, <c_ecc_projective_dbl_point, <c_ecc_map, diff --git a/src/math/tfm_desc.c b/src/math/tfm_desc.c index 8900b7b..be4c3b1 100644 --- a/src/math/tfm_desc.c +++ b/src/math/tfm_desc.c @@ -148,6 +148,12 @@ static int count_bits(void *a) return fp_count_bits(a); } +static int count_lsb_bits(void *a) +{ + LTC_ARGCHK(a != NULL); + return fp_cnt_lsb(a); +} + static int twoexpt(void *a, int n) { LTC_ARGCHK(a != NULL); @@ -681,6 +687,7 @@ const ltc_math_descriptor tfm_desc = { &compare, &compare_d, &count_bits, + &count_lsb_bits, &twoexpt, &read_radix, @@ -714,7 +721,11 @@ const ltc_math_descriptor tfm_desc = { &isprime, #ifdef MECC +#ifdef MECC_FP + <c_ecc_fp_mulmod, +#else <c_ecc_mulmod, +#endif /* MECC_FP */ #ifdef MECC_ACCEL &tfm_ecc_projective_add_point, &tfm_ecc_projective_dbl_point, diff --git a/src/misc/crypt/crypt.c b/src/misc/crypt/crypt.c index d2f0c09..e3dd6c9 100644 --- a/src/misc/crypt/crypt.c +++ b/src/misc/crypt/crypt.c @@ -330,7 +330,9 @@ const char *crypt_build_settings = #if defined(LTC_EASY) " (easy) " #endif - +#if defined(MECC_FP) + " MECC_FP " +#endif "\n" "\n\n\n" ; diff --git a/src/pk/asn1/der/boolean/der_decode_boolean.c b/src/pk/asn1/der/boolean/der_decode_boolean.c new file mode 100644 index 0000000..d9d6905 --- /dev/null +++ b/src/pk/asn1/der/boolean/der_decode_boolean.c @@ -0,0 +1,47 @@ +/* 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://libtomcrypt.com + */ +#include "tomcrypt.h" + +/** + @file der_decode_boolean.c + ASN.1 DER, decode a BOOLEAN, Tom St Denis +*/ + + +#ifdef LTC_DER + +/** + Read a BOOLEAN + @param in The destination for the DER encoded BOOLEAN + @param inlen The size of the DER BOOLEAN + @param out [out] The boolean to decode + @return CRYPT_OK if successful +*/ +int der_decode_boolean(const unsigned char *in, unsigned long inlen, + int *out) +{ + LTC_ARGCHK(in != NULL); + LTC_ARGCHK(out != NULL); + + if (inlen != 3 || in[0] != 0x01 || in[1] != 0x01 || (in[2] != 0x00 && in[2] != 0xFF)) { + return CRYPT_INVALID_ARG; + } + + *out = (in[2]==0xFF) ? 1 : 0; + + return CRYPT_OK; +} + +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/src/pk/asn1/der/boolean/der_encode_boolean.c b/src/pk/asn1/der/boolean/der_encode_boolean.c new file mode 100644 index 0000000..82fb5f1 --- /dev/null +++ b/src/pk/asn1/der/boolean/der_encode_boolean.c @@ -0,0 +1,50 @@ +/* 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://libtomcrypt.com + */ +#include "tomcrypt.h" + +/** + @file der_encode_boolean.c + ASN.1 DER, encode a BOOLEAN, Tom St Denis +*/ + + +#ifdef LTC_DER + +/** + Store a BOOLEAN + @param in The boolean to encode + @param out [out] The destination for the DER encoded BOOLEAN + @param outlen [in/out] The max size and resulting size of the DER BOOLEAN + @return CRYPT_OK if successful +*/ +int der_encode_boolean(int in, + unsigned char *out, unsigned long *outlen) +{ + LTC_ARGCHK(outlen != NULL); + LTC_ARGCHK(out != NULL); + + if (*outlen < 3) { + return CRYPT_BUFFER_OVERFLOW; + } + + *outlen = 3; + out[0] = 0x01; + out[1] = 0x01; + out[2] = in ? 0xFF : 0x00; + + return CRYPT_OK; +} + +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/src/pk/asn1/der/boolean/der_length_boolean.c b/src/pk/asn1/der/boolean/der_length_boolean.c new file mode 100644 index 0000000..5c42f25 --- /dev/null +++ b/src/pk/asn1/der/boolean/der_length_boolean.c @@ -0,0 +1,35 @@ +/* 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://libtomcrypt.com + */ +#include "tomcrypt.h" + +/** + @file der_length_boolean.c + ASN.1 DER, get length of a BOOLEAN, Tom St Denis +*/ + +#ifdef LTC_DER +/** + Gets length of DER encoding of a BOOLEAN + @param outlen [out] The length of the DER encoding + @return CRYPT_OK if successful +*/ +int der_length_boolean(unsigned long *outlen) +{ + LTC_ARGCHK(outlen != NULL); + *outlen = 3; + return CRYPT_OK; +} + +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/src/pk/asn1/der/integer/der_encode_integer.c b/src/pk/asn1/der/integer/der_encode_integer.c index 56c9e1a..74750bf 100644 --- a/src/pk/asn1/der/integer/der_encode_integer.c +++ b/src/pk/asn1/der/integer/der_encode_integer.c @@ -59,7 +59,7 @@ int der_encode_integer(void *num, unsigned char *out, unsigned long *outlen) y = mp_count_bits(num); y = y + (8 - (y & 7)); y = y >> 3; - + if (((mp_cnt_lsb(num)+1)==mp_count_bits(num)) && ((mp_count_bits(num)&7)==0)) --y; } /* now store initial data */ @@ -105,11 +105,11 @@ int der_encode_integer(void *num, unsigned char *out, unsigned long *outlen) /* 2^roundup and subtract */ y = mp_count_bits(num); y = y + (8 - (y & 7)); + if (((mp_cnt_lsb(num)+1)==mp_count_bits(num)) && ((mp_count_bits(num)&7)==0)) y -= 8; if (mp_2expt(tmp, y) != CRYPT_OK || mp_add(tmp, num, tmp) != CRYPT_OK) { mp_clear(tmp); return CRYPT_MEM; } - if ((err = mp_to_unsigned_bin(tmp, out)) != CRYPT_OK) { mp_clear(tmp); return err; diff --git a/src/pk/asn1/der/integer/der_length_integer.c b/src/pk/asn1/der/integer/der_length_integer.c index 74cc2d3..4b8286c 100644 --- a/src/pk/asn1/der/integer/der_length_integer.c +++ b/src/pk/asn1/der/integer/der_length_integer.c @@ -49,6 +49,7 @@ int der_length_integer(void *num, unsigned long *outlen) leading_zero = 0; z = mp_count_bits(num); z = z + (8 - (z & 7)); + if (((mp_cnt_lsb(num)+1)==mp_count_bits(num)) && ((mp_count_bits(num)&7)==0)) --z; len = z = z >> 3; } diff --git a/src/pk/asn1/der/object_identifier/der_decode_object_identifier.c b/src/pk/asn1/der/object_identifier/der_decode_object_identifier.c index 2afc2b6..71efcb1 100644 --- a/src/pk/asn1/der/object_identifier/der_decode_object_identifier.c +++ b/src/pk/asn1/der/object_identifier/der_decode_object_identifier.c @@ -67,14 +67,8 @@ int der_decode_object_identifier(const unsigned char *in, unsigned long inle return CRYPT_INVALID_PACKET; } - /* decode word1 and word2 */ - --len; - t = in[x++]; - words[0] = t/40; - words[1] = t%40; - - /* decode rest */ - y = 2; + /* decode words */ + y = 0; t = 0; while (len--) { t = (t << 7) | (in[x] & 0x7F); @@ -83,7 +77,13 @@ int der_decode_object_identifier(const unsigned char *in, unsigned long inle if (y >= *outlen) { return CRYPT_BUFFER_OVERFLOW; } - words[y++] = t; + if (y == 0) { + words[0] = t / 40; + words[1] = t % 40; + y = 2; + } else { + words[y++] = t; + } t = 0; } } diff --git a/src/pk/asn1/der/object_identifier/der_encode_object_identifier.c b/src/pk/asn1/der/object_identifier/der_encode_object_identifier.c index 89ce9a5..a7e689e 100644 --- a/src/pk/asn1/der/object_identifier/der_encode_object_identifier.c +++ b/src/pk/asn1/der/object_identifier/der_encode_object_identifier.c @@ -27,7 +27,7 @@ int der_encode_object_identifier(unsigned long *words, unsigned long nwords, unsigned char *out, unsigned long *outlen) { - unsigned long i, x, y, z, t, mask; + unsigned long i, x, y, z, t, mask, wordbuf; int err; LTC_ARGCHK(words != NULL); @@ -43,10 +43,14 @@ int der_encode_object_identifier(unsigned long *words, unsigned long nwords, } /* compute length to store OID data */ - z = 1; - for (y = 2; y < nwords; y++) { - t = der_object_identifier_bits(words[y]); - z += t/7 + ((t%7) ? 1 : 0); + z = 0; + wordbuf = words[0] * 40 + words[1]; + for (y = 1; y < nwords; y++) { + t = der_object_identifier_bits(wordbuf); + z += t/7 + ((t%7) ? 1 : 0) + (wordbuf == 0 ? 1 : 0); + if (y < nwords - 1) { + wordbuf = words[y + 1]; + } } /* store header + length */ @@ -66,11 +70,10 @@ int der_encode_object_identifier(unsigned long *words, unsigned long nwords, } /* store first byte */ - out[x++] = words[0] * 40 + words[1]; - - for (i = 2; i < nwords; i++) { + wordbuf = words[0] * 40 + words[1]; + for (i = 1; i < nwords; i++) { /* store 7 bit words in little endian */ - t = words[i] & 0xFFFFFFFF; + t = wordbuf & 0xFFFFFFFF; if (t) { y = x; mask = 0; @@ -90,6 +93,10 @@ int der_encode_object_identifier(unsigned long *words, unsigned long nwords, /* zero word */ out[x++] = 0x00; } + + if (i < nwords - 1) { + wordbuf = words[i + 1]; + } } *outlen = x; diff --git a/src/pk/asn1/der/object_identifier/der_length_object_identifier.c b/src/pk/asn1/der/object_identifier/der_length_object_identifier.c index b7d933a..6ca8cf1 100644 --- a/src/pk/asn1/der/object_identifier/der_length_object_identifier.c +++ b/src/pk/asn1/der/object_identifier/der_length_object_identifier.c @@ -39,7 +39,7 @@ unsigned long der_object_identifier_bits(unsigned long x) */ int der_length_object_identifier(unsigned long *words, unsigned long nwords, unsigned long *outlen) { - unsigned long y, z, t; + unsigned long y, z, t, wordbuf; LTC_ARGCHK(words != NULL); LTC_ARGCHK(outlen != NULL); @@ -50,16 +50,21 @@ int der_length_object_identifier(unsigned long *words, unsigned long nwords, uns return CRYPT_INVALID_ARG; } - /* word1 = 0,1,2 and word2 0..39 */ - if (words[0] > 2 || words[1] > 39) { + /* word1 = 0,1,2,3 and word2 0..39 */ + if (words[0] > 3 || (words[0] < 2 && words[1] > 39)) { return CRYPT_INVALID_ARG; } - /* leading byte of first two words */ - z = 1; - for (y = 2; y < nwords; y++) { - t = der_object_identifier_bits(words[y]); - z += t/7 + ((t%7) ? 1 : 0); + /* leading word is the first two */ + z = 0; + wordbuf = words[0] * 40 + words[1]; + for (y = 1; y < nwords; y++) { + t = der_object_identifier_bits(wordbuf); + z += t/7 + ((t%7) ? 1 : 0) + (wordbuf == 0 ? 1 : 0); + if (y < nwords - 1) { + /* grab next word */ + wordbuf = words[y+1]; + } } /* now depending on the length our length encoding changes */ diff --git a/src/pk/asn1/der/sequence/der_decode_sequence_ex.c b/src/pk/asn1/der/sequence/der_decode_sequence_ex.c index 0eefea9..a3ff2ba 100644 --- a/src/pk/asn1/der/sequence/der_decode_sequence_ex.c +++ b/src/pk/asn1/der/sequence/der_decode_sequence_ex.c @@ -94,6 +94,16 @@ int der_decode_sequence_ex(const unsigned char *in, unsigned long inlen, } switch (type) { + case LTC_ASN1_BOOLEAN: + z = inlen; + if ((err = der_decode_boolean(in + x, z, ((int *)data))) != CRYPT_OK) { + goto LBL_ERR; + } + if ((err = der_length_boolean(&z)) != CRYPT_OK) { + goto LBL_ERR; + } + break; + case LTC_ASN1_INTEGER: z = inlen; if ((err = der_decode_integer(in + x, z, data)) != CRYPT_OK) { diff --git a/src/pk/asn1/der/sequence/der_decode_sequence_flexi.c b/src/pk/asn1/der/sequence/der_decode_sequence_flexi.c index 8bbd829..42e0b5b 100644 --- a/src/pk/asn1/der/sequence/der_decode_sequence_flexi.c +++ b/src/pk/asn1/der/sequence/der_decode_sequence_flexi.c @@ -104,6 +104,20 @@ int der_decode_sequence_flexi(const unsigned char *in, unsigned long *inlen, ltc /* now switch on type */ switch (type) { + case 0x01: /* BOOLEAN */ + l->type = LTC_ASN1_BOOLEAN; + l->size = 1; + l->data = XCALLOC(1, sizeof(int)); + + if ((err = der_decode_boolean(in, *inlen, l->data)) != CRYPT_OK) { + goto error; + } + + if ((err = der_length_boolean(&len)) != CRYPT_OK) { + goto error; + } + break; + case 0x02: /* INTEGER */ /* init field */ l->type = LTC_ASN1_INTEGER; diff --git a/src/pk/asn1/der/sequence/der_decode_sequence_multi.c b/src/pk/asn1/der/sequence/der_decode_sequence_multi.c index c239ab7..64af93c 100644 --- a/src/pk/asn1/der/sequence/der_decode_sequence_multi.c +++ b/src/pk/asn1/der/sequence/der_decode_sequence_multi.c @@ -49,6 +49,7 @@ int der_decode_sequence_multi(const unsigned char *in, unsigned long inlen, ...) } switch (type) { + case LTC_ASN1_BOOLEAN: case LTC_ASN1_INTEGER: case LTC_ASN1_SHORT_INTEGER: case LTC_ASN1_BIT_STRING: @@ -95,6 +96,7 @@ int der_decode_sequence_multi(const unsigned char *in, unsigned long inlen, ...) } switch (type) { + case LTC_ASN1_BOOLEAN: case LTC_ASN1_INTEGER: case LTC_ASN1_SHORT_INTEGER: case LTC_ASN1_BIT_STRING: diff --git a/src/pk/asn1/der/sequence/der_encode_sequence_ex.c b/src/pk/asn1/der/sequence/der_encode_sequence_ex.c index 8efbbb1..aa6e6de 100644 --- a/src/pk/asn1/der/sequence/der_encode_sequence_ex.c +++ b/src/pk/asn1/der/sequence/der_encode_sequence_ex.c @@ -51,6 +51,13 @@ int der_encode_sequence_ex(ltc_asn1_list *list, unsigned long inlen, } switch (type) { + case LTC_ASN1_BOOLEAN: + if ((err = der_length_boolean(&x)) != CRYPT_OK) { + goto LBL_ERR; + } + y += x; + break; + case LTC_ASN1_INTEGER: if ((err = der_length_integer(data, &x)) != CRYPT_OK) { goto LBL_ERR; @@ -182,6 +189,15 @@ int der_encode_sequence_ex(ltc_asn1_list *list, unsigned long inlen, } switch (type) { + case LTC_ASN1_BOOLEAN: + z = *outlen; + if ((err = der_encode_boolean(*((int *)data), out + x, &z)) != CRYPT_OK) { + goto LBL_ERR; + } + x += z; + *outlen -= z; + break; + case LTC_ASN1_INTEGER: z = *outlen; if ((err = der_encode_integer(data, out + x, &z)) != CRYPT_OK) { diff --git a/src/pk/asn1/der/sequence/der_encode_sequence_multi.c b/src/pk/asn1/der/sequence/der_encode_sequence_multi.c index d905910..4386a0a 100644 --- a/src/pk/asn1/der/sequence/der_encode_sequence_multi.c +++ b/src/pk/asn1/der/sequence/der_encode_sequence_multi.c @@ -50,6 +50,7 @@ int der_encode_sequence_multi(unsigned char *out, unsigned long *outlen, ...) } switch (type) { + case LTC_ASN1_BOOLEAN: case LTC_ASN1_INTEGER: case LTC_ASN1_SHORT_INTEGER: case LTC_ASN1_BIT_STRING: @@ -95,6 +96,7 @@ int der_encode_sequence_multi(unsigned char *out, unsigned long *outlen, ...) } switch (type) { + case LTC_ASN1_BOOLEAN: case LTC_ASN1_INTEGER: case LTC_ASN1_SHORT_INTEGER: case LTC_ASN1_BIT_STRING: diff --git a/src/pk/asn1/der/sequence/der_length_sequence.c b/src/pk/asn1/der/sequence/der_length_sequence.c index 46c53e5..7ba535c 100644 --- a/src/pk/asn1/der/sequence/der_length_sequence.c +++ b/src/pk/asn1/der/sequence/der_length_sequence.c @@ -46,6 +46,13 @@ int der_length_sequence(ltc_asn1_list *list, unsigned long inlen, } switch (type) { + case LTC_ASN1_BOOLEAN: + if ((err = der_length_boolean(&x)) != CRYPT_OK) { + goto LBL_ERR; + } + y += x; + break; + case LTC_ASN1_INTEGER: if ((err = der_length_integer(data, &x)) != CRYPT_OK) { goto LBL_ERR; diff --git a/src/pk/asn1/der/set/der_encode_set.c b/src/pk/asn1/der/set/der_encode_set.c index e9444e9..2fb33d1 100644 --- a/src/pk/asn1/der/set/der_encode_set.c +++ b/src/pk/asn1/der/set/der_encode_set.c @@ -21,6 +21,7 @@ static int ltc_to_asn1(int v) { switch (v) { + case LTC_ASN1_BOOLEAN: return 0x01; case LTC_ASN1_INTEGER: case LTC_ASN1_SHORT_INTEGER: return 0x02; case LTC_ASN1_BIT_STRING: return 0x03; diff --git a/src/pk/ecc/ltc_ecc_projective_add_point.c b/src/pk/ecc/ltc_ecc_projective_add_point.c index 218095c..7be6704 100644 --- a/src/pk/ecc/ltc_ecc_projective_add_point.c +++ b/src/pk/ecc/ltc_ecc_projective_add_point.c @@ -21,7 +21,7 @@ ECC Crypto, Tom St Denis */ -#if defined(MECC) && !defined(MECC_ACCEL) +#if defined(MECC) && (!defined(MECC_ACCEL) || defined(LTM_DESC)) /** Add two ECC points diff --git a/src/pk/ecc/ltc_ecc_projective_dbl_point.c b/src/pk/ecc/ltc_ecc_projective_dbl_point.c index 7996534..1f4d348 100644 --- a/src/pk/ecc/ltc_ecc_projective_dbl_point.c +++ b/src/pk/ecc/ltc_ecc_projective_dbl_point.c @@ -21,7 +21,7 @@ ECC Crypto, Tom St Denis */ -#if defined(MECC) && !defined(MECC_ACCEL) +#if defined(MECC) && (!defined(MECC_ACCEL) || defined(LTM_DESC)) /** Double an ECC point diff --git a/testprof/der_tests.c b/testprof/der_tests.c index 2b34bd3..e3ad1ed 100644 --- a/testprof/der_tests.c +++ b/testprof/der_tests.c @@ -1,5 +1,7 @@ #include +#if defined(GMP_DESC) || defined(USE_GMP) #include +#endif #ifndef LTC_DER diff --git a/testprof/ecc_test.c b/testprof/ecc_test.c index 979a492..d42d1fd 100644 --- a/testprof/ecc_test.c +++ b/testprof/ecc_test.c @@ -15,7 +15,7 @@ static int sizes[] = { #ifdef ECC384 48, #endif -#ifdef ECC512 +#ifdef ECC521 65 #endif }; @@ -27,6 +27,10 @@ int ecc_tests (void) int stat, stat2; ecc_key usera, userb, pubKey, privKey; + DO(ecc_test ()); + DO(ecc_test ()); + DO(ecc_test ()); + DO(ecc_test ()); DO(ecc_test ()); for (s = 0; s < (sizeof(sizes)/sizeof(sizes[0])); s++) {

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