88 lines
8.3 KiB
TeX
88 lines
8.3 KiB
TeX
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\hypertarget{arithmetic_8h_source}{}\doxysection{arithmetic.\+h}
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\label{arithmetic_8h_source}\index{/home/steaky/git/CRS/src/EllipticCurves/arithmetic.h@{/home/steaky/git/CRS/src/EllipticCurves/arithmetic.h}}
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\begin{DoxyCode}{0}
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\DoxyCodeLine{1 \textcolor{preprocessor}{\#ifndef \_ARITHMETIC\_H\_}}
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\DoxyCodeLine{2 \textcolor{preprocessor}{\#define \_ARITHMETIC\_H\_}}
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\DoxyCodeLine{3 }
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\DoxyCodeLine{4 \textcolor{preprocessor}{\#include "{}string.h"{}}}
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\DoxyCodeLine{5 \textcolor{preprocessor}{\#include "{}stdbool.h"{}}}
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\DoxyCodeLine{6 }
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\DoxyCodeLine{7 \textcolor{preprocessor}{\#include "{}\mbox{\hyperlink{memory_8h}{memory.h}}"{}}}
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\DoxyCodeLine{8 \textcolor{preprocessor}{\#include "{}models.h"{}}}
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\DoxyCodeLine{9 \textcolor{preprocessor}{\#include "{}auxiliary.h"{}}}
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\DoxyCodeLine{10 \textcolor{preprocessor}{\#include "{}pretty\_print.h"{}}}
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\DoxyCodeLine{11 }
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\DoxyCodeLine{12 \textcolor{preprocessor}{\#include <gmp.h>}}
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\DoxyCodeLine{13 \textcolor{preprocessor}{\#include <flint/fmpz.h>}}
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\DoxyCodeLine{14 \textcolor{preprocessor}{\#include <flint/fq.h>}}
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\DoxyCodeLine{15 }
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\DoxyCodeLine{16 \textcolor{preprocessor}{\#include "{}../Polynomials/roots.h"{}}}
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\DoxyCodeLine{17 }
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\DoxyCodeLine{18 \textcolor{comment}{/*********************************************}}
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\DoxyCodeLine{19 \textcolor{comment}{ Base field embbeding}}
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\DoxyCodeLine{20 \textcolor{comment}{*********************************************/}}
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\DoxyCodeLine{21 \textcolor{keywordtype}{void} MG\_curve\_update\_field(\mbox{\hyperlink{struct_m_g__curve__t}{MG\_curve\_t}} *, \mbox{\hyperlink{struct_m_g__curve__t}{MG\_curve\_t}} *, \textcolor{keyword}{const} fq\_ctx\_t *);}
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\DoxyCodeLine{22 \textcolor{keywordtype}{void} MG\_curve\_update\_field\_(\mbox{\hyperlink{struct_m_g__curve__t}{MG\_curve\_t}} *, \textcolor{keyword}{const} fq\_ctx\_t *);}
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\DoxyCodeLine{23 }
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\DoxyCodeLine{24 \textcolor{comment}{/*********************************************}}
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\DoxyCodeLine{25 \textcolor{comment}{ Elliptic curves}}
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\DoxyCodeLine{26 \textcolor{comment}{*********************************************/}}
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\DoxyCodeLine{27 \textcolor{keywordtype}{void} SW\_j\_invariant(fq\_t *, \mbox{\hyperlink{struct_s_w__curve__t}{SW\_curve\_t}} *);}
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\DoxyCodeLine{28 \textcolor{keywordtype}{void} MG\_j\_invariant(fq\_t *, \mbox{\hyperlink{struct_m_g__curve__t}{MG\_curve\_t}} *);}
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\DoxyCodeLine{29 \textcolor{keywordtype}{void} TN\_j\_invariant(fq\_t *, \mbox{\hyperlink{struct_t_n__curve__t}{TN\_curve\_t}} *);}
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\DoxyCodeLine{30 }
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\DoxyCodeLine{31 \textcolor{comment}{/*********************************************}}
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\DoxyCodeLine{32 \textcolor{comment}{ Points on elliptic curves}}
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\DoxyCodeLine{33 \textcolor{comment}{*********************************************/}}
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\DoxyCodeLine{34 \textcolor{keywordtype}{void} SW\_point\_isinfinity(\textcolor{keywordtype}{bool} *, \mbox{\hyperlink{struct_s_w__point__t}{SW\_point\_t}} *);}
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\DoxyCodeLine{35 \textcolor{keywordtype}{void} MG\_point\_isinfinity(\textcolor{keywordtype}{bool} *, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *);}
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\DoxyCodeLine{36 \textcolor{keywordtype}{bool} MG\_point\_isinfinity\_(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *);}
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\DoxyCodeLine{37 \textcolor{keywordtype}{int} SW\_point\_isvalid(\textcolor{keywordtype}{bool} *, \mbox{\hyperlink{struct_s_w__point__t}{SW\_point\_t}} *);}
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\DoxyCodeLine{38 \textcolor{keywordtype}{int} MG\_point\_isvalid(\textcolor{keywordtype}{bool} *, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *);}
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\DoxyCodeLine{39 \textcolor{keywordtype}{void} MG\_point\_isinfty(\textcolor{keywordtype}{bool} *, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *);}
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\DoxyCodeLine{40 \textcolor{keywordtype}{void} MG\_point\_normalize(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *);}
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\DoxyCodeLine{41 }
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\DoxyCodeLine{42 \textcolor{comment}{/*********************************************}}
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\DoxyCodeLine{43 \textcolor{comment}{ Random torsion point generation}}
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\DoxyCodeLine{44 \textcolor{comment}{*********************************************/}}
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\DoxyCodeLine{45 \textcolor{keywordtype}{void} SW\_point\_rand\_ninfty(\mbox{\hyperlink{struct_s_w__point__t}{SW\_point\_t}} *);}
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\DoxyCodeLine{46 \textcolor{keywordtype}{void} MG\_point\_rand\_ninfty(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, flint\_rand\_t);}
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\DoxyCodeLine{47 \textcolor{keywordtype}{void} MG\_point\_rand\_ninfty\_nsquare(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, flint\_rand\_t);}
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\DoxyCodeLine{48 }
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\DoxyCodeLine{49 \textcolor{comment}{/*********************************************}}
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\DoxyCodeLine{50 \textcolor{comment}{ Montgomery curve arithmetic}}
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\DoxyCodeLine{51 \textcolor{comment}{*********************************************/}}
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\DoxyCodeLine{52 \textcolor{keywordtype}{int} MG\_curve\_normalize(\mbox{\hyperlink{struct_m_g__curve__t}{MG\_curve\_t}} *);}
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\DoxyCodeLine{53 \textcolor{keywordtype}{int} MG\_rec\_y(fq\_t, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *);}
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\DoxyCodeLine{54 \textcolor{keywordtype}{void} MG\_xADD(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}}, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}}, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}});}
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\DoxyCodeLine{55 \textcolor{keywordtype}{void} MG\_xDBL(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}});}
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\DoxyCodeLine{56 \textcolor{keywordtype}{void} MG\_xDBL\_const(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} ,\textcolor{keyword}{const} fq\_t);}
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\DoxyCodeLine{57 }
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\DoxyCodeLine{58 \textcolor{comment}{/*********************************************}}
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\DoxyCodeLine{59 \textcolor{comment}{ Montgomery ladder}}
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\DoxyCodeLine{60 \textcolor{comment}{*********************************************/}}
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\DoxyCodeLine{61 \textcolor{keywordtype}{void} MG\_ladder\_rec(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, fmpz\_t, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}}, \textcolor{keyword}{const} fq\_ctx\_t *);}
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\DoxyCodeLine{62 \textcolor{keywordtype}{void} MG\_ladder(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *x0, fmpz\_t k, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} P);}
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\DoxyCodeLine{63 \textcolor{keywordtype}{void} MG\_ladder\_iter(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, fmpz\_t, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}}, fq\_ctx\_t *);}
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\DoxyCodeLine{64 \textcolor{keywordtype}{void} MG\_ladder\_iter\_(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, fmpz\_t, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *);}
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\DoxyCodeLine{65 }
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\DoxyCodeLine{66 \textcolor{comment}{/*********************************************}}
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\DoxyCodeLine{67 \textcolor{comment}{ Torsion}}
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\DoxyCodeLine{68 \textcolor{comment}{*********************************************/}}
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\DoxyCodeLine{69 \textcolor{keywordtype}{void} MG\_curve\_trace(fmpz\_t);}
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\DoxyCodeLine{70 \textcolor{keywordtype}{void} MG\_curve\_card\_base(fmpz\_t, \mbox{\hyperlink{struct_m_g__curve__t}{MG\_curve\_t}} *);}
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\DoxyCodeLine{71 \textcolor{keywordtype}{void} MG\_curve\_card\_ext(fmpz\_t, \mbox{\hyperlink{struct_m_g__curve__t}{MG\_curve\_t}} *, fmpz\_t r);}
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\DoxyCodeLine{72 \textcolor{keywordtype}{int} MG\_curve\_rand\_torsion(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, fmpz\_t, fmpz\_t);}
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\DoxyCodeLine{73 \textcolor{keywordtype}{int} MG\_curve\_rand\_torsion\_(\mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, fmpz\_t, fmpz\_t);}
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\DoxyCodeLine{74 }
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\DoxyCodeLine{75 \textcolor{comment}{/*********************************************}}
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\DoxyCodeLine{76 \textcolor{comment}{ Tate normal curve and Montgomery conversion}}
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\DoxyCodeLine{77 \textcolor{comment}{*********************************************/}}
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\DoxyCodeLine{78 \textcolor{keywordtype}{void} MG\_get\_TN(\mbox{\hyperlink{struct_t_n__curve__t}{TN\_curve\_t}} *, \mbox{\hyperlink{struct_m_g__curve__t}{MG\_curve\_t}} *, \mbox{\hyperlink{struct_m_g__point__t}{MG\_point\_t}} *, fmpz\_t);}
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\DoxyCodeLine{79 \textcolor{keywordtype}{int} TN\_get\_MG(\mbox{\hyperlink{struct_m_g__curve__t}{MG\_curve\_t}} *, \mbox{\hyperlink{struct_t_n__curve__t}{TN\_curve\_t}} *);}
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\DoxyCodeLine{80 \textcolor{preprocessor}{\#endif}}
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\DoxyCodeLine{81 }
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\end{DoxyCode}
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