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46 fixecdata calltoc1membershipwcp #132

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29526cf
fixed macro
lorenzogentile404 Jan 13, 2025
99d87ed
fixed macro
lorenzogentile404 Jan 13, 2025
5e77b1f
removed col from macros
lorenzogentile404 Jan 13, 2025
98b264e
partially improved naming
lorenzogentile404 Jan 13, 2025
02a3c34
used more meaningful names for functions
lorenzogentile404 Jan 14, 2025
70ae290
updated keys for xkeyval macros
lorenzogentile404 Jan 14, 2025
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121 changes: 91 additions & 30 deletions pkg/precompiles.sty
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Original file line number Diff line number Diff line change
Expand Up @@ -126,59 +126,120 @@
\newcol{\csEcmul} {CS\_ECMUL}{CIRCUIT\_SELECTOR\_ECMUL}
\newcol{\csEcpairing} {CS\_ECPAIRING}{CIRCUIT\_SELECTOR\_ECPAIRING}
\newcol{\csGTwo} {CS\_G2\_MEMBERSHIP}{CIRCUIT\_SELECTOR\_G2\_MEMBERSHIP}
\newcol{\trivialPairing} {TRIVIAL\_PAIRING}{OVERALL\_TRIVIAL\_PAIRING}
\newcol{\trivialPairing} {TRIVIAL\_PAIRING}{OVERALL\_TRIVIAL\_PAIRING}

% System of constraints
\define@cmdkey [ECDATA] {var} {anchorRow} {}
\define@cmdkey [ECDATA] {var} {relOffset} {}
\define@cmdkey [ECDATA] {var} {xHi} {}
\define@cmdkey [ECDATA] {var} {xLo} {}
\define@cmdkey [ECDATA] {var} {yHi} {}
\define@cmdkey [ECDATA] {var} {yLo} {}
\define@cmdkey [ECDATA] {var} {xSquareHi} {}
\define@cmdkey [ECDATA] {var} {xSquareLo} {}
\define@cmdkey [ECDATA] {var} {ySquareHi} {}
\define@cmdkey [ECDATA] {var} {ySquareLo} {}
\define@cmdkey [ECDATA] {var} {xCubeHi} {}
\define@cmdkey [ECDATA] {var} {xCubeLo} {}
\define@cmdkey [ECDATA] {var} {xCubePlusThreeHi} {}
\define@cmdkey [ECDATA] {var} {xCubePlusThreeLo} {}
\define@cmdkey [ECDATA] {var} {xImHi} {}
\define@cmdkey [ECDATA] {var} {xImLo} {}
\define@cmdkey [ECDATA] {var} {xReHi} {}
\define@cmdkey [ECDATA] {var} {xReLo} {}
\define@cmdkey [ECDATA] {var} {yImHi} {}
\define@cmdkey [ECDATA] {var} {yImLo} {}
\define@cmdkey [ECDATA] {var} {yReHi} {}
\define@cmdkey [ECDATA] {var} {yReLo} {}

\presetkeys [ECDATA] {var} {
anchorRow = \missingParameter ,
relOffset = \missingParameter ,
xHi = \missingParameter ,
xLo = \missingParameter ,
yHi = \missingParameter ,
yLo = \missingParameter ,
xSquareHi = \missingParameter ,
xSquareLo = \missingParameter ,
ySquareHi = \missingParameter ,
ySquareLo = \missingParameter ,
xCubeHi = \missingParameter ,
xCubeLo = \missingParameter ,
xCubePlusThreeHi = \missingParameter,
xCubePlusThreeLo = \missingParameter,
xImHi = \missingParameter ,
xImLo = \missingParameter ,
xReHi = \missingParameter ,
xReLo = \missingParameter ,
yImHi = \missingParameter ,
yImLo = \missingParameter ,
yReHi = \missingParameter ,
yReLo = \missingParameter
}{}


\newcommand{\callCOneMembership} {\texttt{callToC1Membership}}

\newcommand{\callToCOneMembership}[6]{
\callCOneMembership_{#1}
\left[ \begin{array}{ll}
\utt{Rel. row offset:} & #2 \\
\utt{First argument (high):} & \col{#3} \\
\utt{First argument (low):} & \col{#4} \\
\utt{Second argument (high):} & \col{#5} \\
\utt{Second argument (low):} & \col{#6} \\
\utt{x coord. hi:} & #3 \\
\utt{x coord. lo:} & #4 \\
\utt{y coord. hi:} & #5 \\
\utt{y coord. lo:} & #6 \\
\end{array} \right]}

\newcommand{\callCOneMembershipWCP} {\texttt{callToC1MembershipWCP}}

\newcommand{\callToCOneMembershipWCP}[6]{
\callCOneMembershipWCP_{#1}
\newcommand{\callToCOneMembershipWCP}[1]{
\setkeys[ECDATA]{var}{#1}
\callCOneMembershipWCP_{\cmdECDATA@var@anchorRow}
\left[ \begin{array}{ll}
\utt{Rel. row offset:} & #2 \\
\utt{First argument (high):} & \col{#3} \\
\utt{First argument (low):} & \col{#4} \\
\utt{Second argument (high):} & \col{#5} \\
\utt{Second argument (low):} & \col{#6} \\
\utt{Rel. row offset:} & \cmdECDATA@var@relOffset \\
\utt{x coord. hi:} & \cmdECDATA@var@xHi \\
\utt{x coord. lo:} & \cmdECDATA@var@xLo \\
\utt{y coord. hi:} & \cmdECDATA@var@yHi \\
\utt{y coord. lo:} & \cmdECDATA@var@yLo \\
\utt{LHS of (E) hi:} & \cmdECDATA@var@ySquareHi \\
\utt{LHS of (E) lo:} & \cmdECDATA@var@ySquareLo \\
\utt{RHS of (E) hi:} & \cmdECDATA@var@xCubePlusThreeHi \\
\utt{RHS of (E) lo:} & \cmdECDATA@var@xCubePlusThreeLo \\
\utt{Where (E) is:} & y^2 = x^3 + 3
\end{array} \right]}

\newcommand{\callCOneMembershipEXT} {\texttt{callToC1MembershipEXT}}

\newcommand{\callToCOneMembershipEXT}[6]{
\callCOneMembershipEXT_{#1}
\newcommand{\callToCOneMembershipEXT}[1]{
\setkeys[ECDATA]{var}{#1}
\callCOneMembershipEXT_{\cmdECDATA@var@anchorRow}
\left[ \begin{array}{ll}
\utt{Rel. row offset:} & #2 \\
\utt{First argument (high):} & \col{#3} \\
\utt{First argument (low):} & \col{#4} \\
\utt{Second argument (high):} & \col{#5} \\
\utt{Second argument (low):} & \col{#6} \\
\utt{Rel. row offset:} & \cmdECDATA@var@relOffset \\
\utt{x coord. hi:} & \cmdECDATA@var@xHi \\
\utt{x coord. lo:} & \cmdECDATA@var@xLo \\
\utt{y coord. hi:} & \cmdECDATA@var@yHi \\
\utt{y coord. lo:} & \cmdECDATA@var@yLo \\
\utt{square of x coord. hi:} & \cmdECDATA@var@xSquareHi \\
\utt{square of x coord. lo:} & \cmdECDATA@var@xSquareLo \\
\utt{cube of x coord. hi:} & \cmdECDATA@var@xCubeHi \\
\utt{cube of x coord. lo:} & \cmdECDATA@var@xCubeLo \\
\end{array} \right]}

\newcommand{\callWellFormedCoordinates} {\texttt{callToWellFormedCoordinates}}

\newcommand{\callToWellFormedCoordinates}[9]{ % TODO: a standard macro cannot have more than 9 arguments, thus here 'i' is hardcoded: use xkeyval
\callWellFormedCoordinates_{i}
\newcommand{\callToWellFormedCoordinates}[1]{
\setkeys[ECDATA]{var}{#1}
\callWellFormedCoordinates_{\cmdECDATA@var@anchorRow}
\left[ \begin{array}{ll}
\utt{Rel. row offset:} & #1 \\
\utt{First argument (high):} & \col{#2} \\
\utt{First argument (low):} & \col{#3} \\
\utt{Second argument (high):} & \col{#4} \\
\utt{Second argument (low):} & \col{#5} \\
\utt{Third argument (high):} & \col{#6} \\
\utt{Third argument (low):} & \col{#7} \\
\utt{Fourth argument (high):} & \col{#8} \\
\utt{Fourth argument (low):} & \col{#9} \\
\utt{Rel. row offset:} & \cmdECDATA@var@relOffset \\
\utt{x coord. imaginary hi:} & \cmdECDATA@var@xImHi \\
\utt{x coord. imaginary lo:} & \cmdECDATA@var@xImLo \\
\utt{x coord. real hi:} & \cmdECDATA@var@xReHi \\
\utt{x coord. real lo:} & \cmdECDATA@var@xReLo \\
\utt{y coord. imaginary hi:} & \cmdECDATA@var@yImHi \\
\utt{y coord. imaginary lo:} & \cmdECDATA@var@yImLo \\
\utt{y coord. real hi:} & \cmdECDATA@var@yReHi \\
\utt{y coord. real lo:} & \cmdECDATA@var@yReLo \\
\end{array} \right]}

% base 10 : 21888242871839275222246405745257275088696311157297823662689037894645226208583
Expand Down
28 changes: 14 additions & 14 deletions pkg/xkeyval_macros/ext_calls.sty
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Original file line number Diff line number Diff line change
Expand Up @@ -29,13 +29,13 @@
\setkeys[EXT]{var}{#1}
\extCallToAddModName _{\cmdEXT@var@anchorRow}
\left[ \begin{array}{ll}
\utt{Rel. row offset:} & \cmdEXT@var@relOffset \\
\utt{First argument (high):} & \cmdEXT@var@argOneHi \\
\utt{First argument (low):} & \cmdEXT@var@argOneLo \\
\utt{Second argument (high):} & \cmdEXT@var@argTwoHi \\
\utt{Second argument (low):} & \cmdEXT@var@argTwoLo \\
\utt{Third argument (high):} & \cmdEXT@var@argThreeHi \\
\utt{Third argument (low):} & \cmdEXT@var@argThreeLo \\
\utt{Rel. row offset:} & \cmdEXT@var@relOffset \\
\utt{First argument hi:} & \cmdEXT@var@argOneHi \\
\utt{First argument lo:} & \cmdEXT@var@argOneLo \\
\utt{Second argument hi:} & \cmdEXT@var@argTwoHi \\
\utt{Second argument lo:} & \cmdEXT@var@argTwoLo \\
\utt{Third argument hi:} & \cmdEXT@var@argThreeHi \\
\utt{Third argument lo:} & \cmdEXT@var@argThreeLo \\
\end{array} \right]
}

Expand All @@ -45,13 +45,13 @@
\setkeys[EXT]{var}{#1}
\extCallToMulModName _{\cmdEXT@var@anchorRow}
\left[ \begin{array}{ll}
\utt{Rel. row offset:} & \cmdEXT@var@relOffset \\
\utt{First argument (high):} & \cmdEXT@var@argOneHi \\
\utt{First argument (low):} & \cmdEXT@var@argOneLo \\
\utt{Second argument (high):} & \cmdEXT@var@argTwoHi \\
\utt{Second argument (low):} & \cmdEXT@var@argTwoLo \\
\utt{Third argument (high):} & \cmdEXT@var@argThreeHi \\
\utt{Third argument (low):} & \cmdEXT@var@argThreeLo \\
\utt{Rel. row offset:} & \cmdEXT@var@relOffset \\
\utt{First argument hi:} & \cmdEXT@var@argOneHi \\
\utt{First argument lo:} & \cmdEXT@var@argOneLo \\
\utt{Second argument hi:} & \cmdEXT@var@argTwoHi \\
\utt{Second argument lo:} & \cmdEXT@var@argTwoLo \\
\utt{Third argument hi:} & \cmdEXT@var@argThreeHi \\
\utt{Third argument lo:} & \cmdEXT@var@argThreeLo \\
\end{array} \right]
}

Expand Down
13 changes: 12 additions & 1 deletion prc/ecdata/specialized/ecpairing.tex
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Original file line number Diff line number Diff line change
Expand Up @@ -42,7 +42,18 @@
\begin{description}
\item[\underline{Row $n^°(i+4)$:}]
\[
\callToWellFormedCoordinates{4}{\locBXImHi}{\locBXImLo}{\locBXReHi}{\locBXReLo}{\locBYImHi}{\locBYImLo}{\locBYReHi}{\locBYReLo}
\callToWellFormedCoordinates {
anchorRow = i ,
relOffset = 4 ,
xImHi = \locBXImHi ,
xImLo = \locBXImLo ,
xReHi = \locBXReHi ,
xReLo = \locBXReLo ,
yImHi = \locBYImHi ,
yImLo = \locBYImLo ,
yReHi = \locBYReHi ,
yReLo = \locBYReLo ,
}
\]

\[
Expand Down
57 changes: 51 additions & 6 deletions prc/ecdata/utils/c1_membership.tex
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Expand Up @@ -2,16 +2,39 @@
\left\{ \begin{array}{l}
\callToCOneMembership
{i}{\relof}
{\locPXHi}{\locPXLo }{\locPYHi }{\locPYLo} \vspace{4mm} \\
{\locPXHi}{\locPXLo}{\locPYHi}{\locPYLo} \vspace{4mm} \\
\qquad \qquad \iff
\left\{ \begin{array}{l}
\callToCOneMembershipWCP{i}{\relof}{\locPXHi}{\locPXLo}{\locPYHi}{\locPYLo} \\
\callToCOneMembershipWCP {
anchorRow = i ,
relOffset = \relof ,
xHi = \locPXHi ,
xLo = \locPXLo ,
yHi = \locPYHi ,
yLo = \locPYLo ,
ySquareHi = \locPYSquareHi ,
ySquareLo = \locPYSquareLo ,
xCubePlusThreeHi = \locPXCubePlusThreeHi ,
xCubePlusThreeLo = \locPXCubePlusThreeLo ,
} \\
\locPXIsInRange \define \wcpRes_{i+\relof} \\
\locPYIsInRange \define \wcpRes_{i+\relof+1} \\
\locPSatisfiesCubic \define \wcpRes_{i+\relof+2} \\
\vspace{1mm} \\
%
\callToCOneMembershipEXT{i}{\relof}{\locPXHi}{\locPXLo}{\locPYHi}{\locPYLo} \\
%
\callToCOneMembershipEXT {
anchorRow = i ,
relOffset = \relof ,
xHi = \locPXHi ,
xLo = \locPXLo ,
yHi = \locPYHi ,
yLo = \locPYLo ,
xSquareHi = \locPXSquareHi ,
xSquareLo = \locPXSquareLo ,
xCubeHi = \locPXCube ,
xCubeLo = \locPXCube ,
}
\\
\locPYSquareHi \define \extResHi_{i+\relof} \\
\locPYSquareLo \define \extResLo_{i+\relof} \\
\locPXSquareHi \define \extResHi_{i+\relof+1} \\
Expand Down Expand Up @@ -47,7 +70,18 @@

\[
\left\{ \begin{array}{l}
\callToCOneMembershipWCP{i}{\relof}{\locPXHi}{\locPXLo}{\locPYHi}{\locPYLo} \vspace{4mm} \\
\callToCOneMembershipWCP {
anchorRow = i ,
relOffset = \relof ,
xHi = \locPXHi ,
xLo = \locPXLo ,
yHi = \locPYHi ,
yLo = \locPYLo ,
ySquareHi = \locPYSquareHi ,
ySquareLo = \locPYSquareLo ,
xCubePlusThreeHi = \locPXCubePlusThreeHi ,
xCubePlusThreeLo = \locPXCubePlusThreeLo ,
} \vspace{4mm} \\
\qquad \qquad \iff
\left\{ \begin{array}{lcl}
% \callToLt
Expand Down Expand Up @@ -99,7 +133,18 @@

\[
\left\{ \begin{array}{l}
\callToCOneMembershipEXT{i}{\relof}{\locPXHi}{\locPXLo }{\locPYHi }{\locPYLo} \vspace{4mm} \\
\callToCOneMembershipEXT {
anchorRow = i ,
relOffset = \relof ,
xHi = \locPXHi ,
xLo = \locPXLo ,
yHi = \locPYHi ,
yLo = \locPYLo ,
xSquareHi = \locPXSquareHi ,
xSquareLo = \locPXSquareLo ,
xCubeHi = \locPXCube ,
xCubeLo = \locPXCube ,
} \vspace{4mm} \\
\qquad \qquad \iff
\left\{ \begin{array}{lcl}
% \callToMulMod{i+\relof}{$\locPYHi$}{$\locPYLo$}{$\locPYHi$}{$\locPYLo$}{$\bnOuterPrimeHi$}{$\bnOuterPrimeLo$}
Expand Down
13 changes: 12 additions & 1 deletion prc/ecdata/utils/well_formed_coordinates.tex
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Original file line number Diff line number Diff line change
@@ -1,6 +1,17 @@
\[
\left\{ \begin{array}{l}
\callToWellFormedCoordinates{\relof}{\locBXImHi}{\locBXImLo}{\locBXReHi}{\locBXReLo}{\locBYImHi}{\locBYImLo}{\locBYReHi}{\locBYReLo} \vspace{4mm} \\
\callToWellFormedCoordinates {
anchorRow = i ,
relOffset = \relof ,
xImHi = \locBXImHi ,
xImLo = \locBXImLo ,
xReHi = \locBXReHi ,
xReLo = \locBXReLo ,
yImHi = \locBYImHi ,
yImLo = \locBYImLo ,
yReHi = \locBYReHi ,
yReLo = \locBYReLo ,
} \vspace{4mm} \\
\qquad \qquad \iff
\left\{ \begin{array}{l}
% \callToLt
Expand Down