[b939736] | 1 | // polynomial.h |
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| 2 | |
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| 3 | #pragma once |
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| 4 | |
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| 5 | #include <cstdio> |
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| 6 | #include <utility> |
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| 7 | #include <vector> |
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| 8 | #include <map> |
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| 9 | #include <list> |
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| 10 | #include <random> |
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| 11 | #include <ctime> |
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| 12 | #include "hash.h" |
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| 13 | |
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| 14 | namespace pol { |
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| 15 | |
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| 16 | typedef unsigned long long u64_t; |
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| 17 | typedef unsigned u32_t; |
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| 18 | typedef unsigned char u8_t; |
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| 19 | |
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| 20 | const u32_t POL1V_MAXLENGTH = 4096; |
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| 21 | const u32_t M32 = 0xffffffff; |
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| 22 | const u32_t KEY_DEG = 3; |
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| 23 | const u32_t MODSIZE = 61; |
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| 24 | const u32_t BUFSIZE = 8; |
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| 25 | const u64_t MOD = 2305843009213693951; // 2147483647; // // 2^61 - 1 |
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| 26 | |
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| 27 | class u61_t { |
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| 28 | private: |
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| 29 | u64_t data; |
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| 30 | public: |
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| 31 | u61_t(u64_t x = 0); |
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| 32 | operator u64_t() const; |
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| 33 | u61_t operator+(const u61_t &) const; |
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| 34 | u61_t operator-(const u61_t &) const; |
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| 35 | u61_t operator*(const u61_t &) const; |
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| 36 | u61_t operator/(const u61_t &) const; |
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| 37 | u61_t& operator+=(const u61_t &); |
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| 38 | u61_t& operator-=(const u61_t &); |
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| 39 | u61_t& operator*=(const u61_t &); |
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| 40 | u61_t& operator/=(const u61_t &); |
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| 41 | u61_t inverse() const; |
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| 42 | u61_t pow(u32_t) const; |
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| 43 | inline u64_t* get_addr(); |
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| 44 | inline const u64_t* get_addr() const; |
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| 45 | inline u64_t& get_buf(); |
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| 46 | inline const u64_t& get_buf() const; |
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| 47 | void print(FILE *, u32_t) const; |
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| 48 | }; |
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| 49 | |
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| 50 | enum pol_format_t { |
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| 51 | BINPR, |
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| 52 | TEXTPR, |
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| 53 | HTMLPR |
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| 54 | }; |
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| 55 | |
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| 56 | class pol_t { |
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| 57 | private: |
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| 58 | std::vector<u61_t> data; |
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| 59 | u32_t degree; |
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| 60 | public: |
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| 61 | typedef std::vector<pol_t> vector_t; |
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| 62 | pol_t(); |
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| 63 | pol_t& operator=(const pol_t&); |
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| 64 | void change_degree(u32_t); |
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| 65 | pol_t& operator+=(const pol_t&); |
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| 66 | pol_t& operator-=(const pol_t&); |
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| 67 | pol_t& operator*=(const pol_t&); |
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| 68 | pol_t& operator%=(const pol_t&); |
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| 69 | pol_t& operator/=(const pol_t&); |
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| 70 | pol_t operator+(const pol_t&) const; |
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| 71 | pol_t operator-(const pol_t&) const; |
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| 72 | pol_t operator*(const pol_t&) const; |
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| 73 | pol_t operator%(const pol_t&) const; |
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| 74 | pol_t operator/(const pol_t&) const; |
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| 75 | operator bool() const; |
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| 76 | bool operator==(const pol_t &) const; |
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| 77 | pol_t pow(u32_t) const; |
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| 78 | pol_t mpow(u64_t, const pol_t &) const; |
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| 79 | pol_t mpow(u64_t, u64_t, const pol_t &) const; |
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| 80 | pol_t normalize() const; |
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| 81 | pol_t deriv() const; |
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| 82 | void read(FILE * fin, pol_format_t format = TEXTPR); |
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| 83 | void write(FILE * fout, pol_format_t format = HTMLPR, bool endofline = true) const; |
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| 84 | u61_t& operator[](u32_t); |
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| 85 | const u61_t& operator[](u32_t) const; |
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| 86 | u64_t& operator()(u32_t); |
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| 87 | const u64_t& operator()(u32_t) const; |
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| 88 | u32_t get_deg() const; |
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| 89 | void fact(u32_t, vector_t &) const; |
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| 90 | void ddf(u32_t, vector_t &) const; |
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| 91 | void split(u32_t, vector_t &) const; |
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| 92 | }; |
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| 93 | |
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| 94 | union deg_t { |
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| 95 | u64_t key; |
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| 96 | struct { |
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| 97 | u32_t x, y; |
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| 98 | }; |
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| 99 | deg_t(); |
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| 100 | deg_t(u32_t, u32_t); |
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| 101 | bool operator<(const deg_t &) const; |
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| 102 | bool operator==(const deg_t &) const; |
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| 103 | deg_t operator+(const deg_t&) const; |
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| 104 | }; |
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| 105 | |
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| 106 | typedef std::pair<deg_t, pol_t> pol3v1_t; |
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| 107 | typedef std::list<pol3v1_t> list_t; |
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| 108 | typedef std::map<deg_t, pol_t> polmap_t; |
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| 109 | typedef pol_t::vector_t vector_t; |
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| 110 | |
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| 111 | class pol3v_t { |
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| 112 | private: |
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| 113 | list_t data; |
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| 114 | u32_t dx; |
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| 115 | u32_t dy; |
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| 116 | u32_t dt; |
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| 117 | public: |
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| 118 | pol3v_t(); |
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| 119 | pol3v_t(const polmap_t &); |
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| 120 | pol3v_t& operator=(const pol3v_t &); |
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| 121 | pol3v_t operator+(const pol3v_t&) const; |
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| 122 | pol3v_t operator-(const pol3v_t&) const; |
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| 123 | pol3v_t operator*(const pol3v_t&) const; |
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| 124 | pol3v_t& operator+=(const pol3v_t &); |
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| 125 | pol3v_t& operator-=(const pol3v_t &); |
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| 126 | pol3v_t& operator*=(const pol3v_t &); |
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| 127 | pol_t subst(const pol_t &, const pol_t &) const; |
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| 128 | pol3v_t get_same_rand_pol() const; |
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| 129 | void read(FILE *, pol_format_t); |
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| 130 | void write(FILE * fout, pol_format_t format = HTMLPR, bool endofline = 1) const; |
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| 131 | }; |
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| 132 | |
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| 133 | enum file_mode_t { |
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| 134 | READ, WRITE |
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| 135 | }; |
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| 136 | |
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| 137 | class File { |
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| 138 | private: |
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| 139 | FILE *file; |
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| 140 | bool opened; |
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| 141 | file_mode_t mode; |
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| 142 | u64_t buf; |
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| 143 | size_t pos, count, read_size; |
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| 144 | public: |
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| 145 | File(); |
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| 146 | File(FILE *, file_mode_t); |
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| 147 | File(const char *, file_mode_t); |
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| 148 | ~File(); |
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| 149 | bool open(const char *, file_mode_t); |
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| 150 | void close(); |
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| 151 | void flush(); |
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| 152 | size_t read(u61_t &); |
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| 153 | size_t write(const u61_t &, size_t = MODSIZE - 1); |
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| 154 | }; |
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| 155 | |
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| 156 | class random_t { |
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| 157 | private: |
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| 158 | std::mt19937_64 generator; |
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| 159 | public: |
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| 160 | random_t(); |
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| 161 | u61_t operator()(); |
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| 162 | }; |
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| 163 | |
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| 164 | pol_t gcd(const pol_t &, const pol_t &); |
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| 165 | pol_t get_x(); |
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| 166 | pol_t get_rand_pol(u32_t deg, bool f = true); |
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| 167 | template <unsigned CLOSE_KEY_DEG = KEY_DEG, unsigned OPEN_KEY_DEG = KEY_DEG> |
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| 168 | pol3v_t get_open_key(const pol_t &, const pol_t &); |
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| 169 | template <unsigned Key_Deg = 2 * KEY_DEG> |
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| 170 | void encrypt(File &, FILE *, const pol3v_t &); |
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| 171 | template <unsigned CLOSE_KEY_DEG = KEY_DEG, unsigned OPEN_KEY_DEG = KEY_DEG> |
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| 172 | void decrypt(FILE *, File &, const pol_t &, const pol_t &); |
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| 173 | |
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| 174 | pol3v_t XXX_get_f(const u64_t max_deg, const u32_t Key_Deg); |
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| 175 | pol3v_t XXX_get_mes(const u64_t max_deg, const u32_t Key_Deg, const u64_t size, const std::vector<u61_t> &); |
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| 176 | void XXX_get_fact(const vector_t &fact, u64_t deg, vector_t &res); |
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| 177 | |
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| 178 | #include "polinomial.hpp" |
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| 179 | }; |
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