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</head><body class="rustdoc trait"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">☰</button><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">EccInstructions</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-types">Required Associated Types</a></h3><ul class="block"><li><a href="#associatedtype.FixedPoints">FixedPoints</a></li><li><a href="#associatedtype.NonIdentityPoint">NonIdentityPoint</a></li><li><a href="#associatedtype.Point">Point</a></li><li><a href="#associatedtype.ScalarFixed">ScalarFixed</a></li><li><a href="#associatedtype.ScalarFixedShort">ScalarFixedShort</a></li><li><a href="#associatedtype.ScalarVar">ScalarVar</a></li><li><a href="#associatedtype.X">X</a></li></ul><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.add">add</a></li><li><a href="#tymethod.add_incomplete">add_incomplete</a></li><li><a href="#tymethod.constrain_equal">constrain_equal</a></li><li><a href="#tymethod.extract_p">extract_p</a></li><li><a href="#tymethod.mul">mul</a></li><li><a href="#tymethod.mul_fixed">mul_fixed</a></li><li><a href="#tymethod.mul_fixed_base_field_elem">mul_fixed_base_field_elem</a></li><li><a href="#tymethod.mul_fixed_short">mul_fixed_short</a></li><li><a href="#tymethod.scalar_fixed_from_signed_short">scalar_fixed_from_signed_short</a></li><li><a href="#tymethod.witness_point">witness_point</a></li><li><a href="#tymethod.witness_point_non_id">witness_point_non_id</a></li><li><a href="#tymethod.witness_scalar_fixed">witness_scalar_fixed</a></li><li><a href="#tymethod.witness_scalar_var">witness_scalar_var</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../index.html">halo2_gadgets</a>::<wbr><a href="index.html">ecc</a>::<wbr><a class="trait" href="#">EccInstructions</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_gadgets/ecc.rs.html#16-148">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub trait EccInstructions<C: CurveAffine>: <a class="trait" href="../../halo2_proofs/circuit/trait.Chip.html" title="trait halo2_proofs::circuit::Chip">Chip</a><C::Base> + <a class="trait" href="../utilities/trait.UtilitiesInstructions.html" title="trait halo2_gadgets::utilities::UtilitiesInstructions">UtilitiesInstructions</a><C::Base> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> {
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type <a href="#associatedtype.ScalarVar" class="associatedtype">ScalarVar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>;
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type <a href="#associatedtype.ScalarFixed" class="associatedtype">ScalarFixed</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>;
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type <a href="#associatedtype.ScalarFixedShort" class="associatedtype">ScalarFixedShort</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>;
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type <a href="#associatedtype.Point" class="associatedtype">Point</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>;
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type <a href="#associatedtype.NonIdentityPoint" class="associatedtype">NonIdentityPoint</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>;
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type <a href="#associatedtype.X" class="associatedtype">X</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>;
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type <a href="#associatedtype.FixedPoints" class="associatedtype">FixedPoints</a>: <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><C>;
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<details class="toggle type-contents-toggle"><summary class="hideme"><span>Show 13 methods</span></summary> // Required methods
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fn <a href="#tymethod.constrain_equal" class="fn">constrain_equal</a>(
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&self,
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layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
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a: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>,
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b: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>
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) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
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<span class="item-spacer"></span> fn <a href="#tymethod.witness_point" class="fn">witness_point</a>(
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&self,
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layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
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value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a><C>
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) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
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<span class="item-spacer"></span> fn <a href="#tymethod.witness_point_non_id" class="fn">witness_point_non_id</a>(
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&self,
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layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
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value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a><C>
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) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
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<span class="item-spacer"></span> fn <a href="#tymethod.witness_scalar_var" class="fn">witness_scalar_var</a>(
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&self,
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layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
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value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a><C::Scalar>
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) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
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<span class="item-spacer"></span> fn <a href="#tymethod.witness_scalar_fixed" class="fn">witness_scalar_fixed</a>(
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&self,
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layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
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value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a><C::Scalar>
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) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
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<span class="item-spacer"></span> fn <a href="#tymethod.scalar_fixed_from_signed_short" class="fn">scalar_fixed_from_signed_short</a>(
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&self,
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layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
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magnitude_sign: (Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>, Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>)
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) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
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<span class="item-spacer"></span> fn <a href="#tymethod.extract_p" class="fn">extract_p</a><Point: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>>(point: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Point</a>) -> Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.X" title="type halo2_gadgets::ecc::EccInstructions::X">X</a>;
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<span class="item-spacer"></span> fn <a href="#tymethod.add_incomplete" class="fn">add_incomplete</a>(
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&self,
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layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
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a: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>,
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b: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>
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) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
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<span class="item-spacer"></span> fn <a href="#tymethod.add" class="fn">add</a><A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>, B: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>>(
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&self,
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layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
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a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&A</a>,
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b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&B</a>
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) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
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<span class="item-spacer"></span> fn <a href="#tymethod.mul" class="fn">mul</a>(
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&self,
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layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
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scalar: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>,
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base: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>
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) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><(Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>), <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
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<span class="item-spacer"></span> fn <a href="#tymethod.mul_fixed" class="fn">mul_fixed</a>(
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&self,
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layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
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scalar: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>,
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base: &<Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><C>>::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.FullScalar" title="type halo2_gadgets::ecc::FixedPoints::FullScalar">FullScalar</a>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><(Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>), <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
|
||
<span class="item-spacer"></span> fn <a href="#tymethod.mul_fixed_short" class="fn">mul_fixed_short</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
scalar: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>,
|
||
base: &<Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><C>>::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.ShortScalar" title="type halo2_gadgets::ecc::FixedPoints::ShortScalar">ShortScalar</a>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><(Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>), <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
|
||
<span class="item-spacer"></span> fn <a href="#tymethod.mul_fixed_base_field_elem" class="fn">mul_fixed_base_field_elem</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
base_field_elem: Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>,
|
||
base: &<Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><C>>::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.Base" title="type halo2_gadgets::ecc::FixedPoints::Base">Base</a>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>>;
|
||
</details>}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The set of circuit instructions required to use the ECC gadgets.</p>
|
||
</div></details><h2 id="required-associated-types" class="small-section-header">Required Associated Types<a href="#required-associated-types" class="anchor">§</a></h2><div class="methods"><details class="toggle" open><summary><section id="associatedtype.ScalarVar" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#24">source</a><h4 class="code-header">type <a href="#associatedtype.ScalarVar" class="associatedtype">ScalarVar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a scalar used in variable-base scalar mul.</p>
|
||
<p>This type is treated as a full-width scalar. However, if <code>Self</code> implements
|
||
<a href="trait.BaseFitsInScalarInstructions.html" title="trait halo2_gadgets::ecc::BaseFitsInScalarInstructions"><code>BaseFitsInScalarInstructions</code></a> then this may also be constructed from an element
|
||
of the base field.</p>
|
||
</div></details><details class="toggle" open><summary><section id="associatedtype.ScalarFixed" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#27">source</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixed" class="associatedtype">ScalarFixed</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a full-width element of the elliptic curve’s
|
||
scalar field, to be used for fixed-base scalar mul.</p>
|
||
</div></details><details class="toggle" open><summary><section id="associatedtype.ScalarFixedShort" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#32">source</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixedShort" class="associatedtype">ScalarFixedShort</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a signed short element of the elliptic curve’s
|
||
scalar field, to be used for fixed-base scalar mul.</p>
|
||
<p>A <code>ScalarFixedShort</code> must be in the range [-(2^64 - 1), 2^64 - 1].</p>
|
||
</div></details><details class="toggle" open><summary><section id="associatedtype.Point" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#34">source</a><h4 class="code-header">type <a href="#associatedtype.Point" class="associatedtype">Point</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing an elliptic curve point.</p>
|
||
</div></details><details class="toggle" open><summary><section id="associatedtype.NonIdentityPoint" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#36">source</a><h4 class="code-header">type <a href="#associatedtype.NonIdentityPoint" class="associatedtype">NonIdentityPoint</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a non-identity elliptic curve point.</p>
|
||
</div></details><details class="toggle" open><summary><section id="associatedtype.X" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#39">source</a><h4 class="code-header">type <a href="#associatedtype.X" class="associatedtype">X</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing the affine short Weierstrass x-coordinate of an
|
||
elliptic curve point.</p>
|
||
</div></details><details class="toggle" open><summary><section id="associatedtype.FixedPoints" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#44">source</a><h4 class="code-header">type <a href="#associatedtype.FixedPoints" class="associatedtype">FixedPoints</a>: <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><C></h4></section></summary><div class="docblock"><p>Enumeration of the set of fixed bases to be used in scalar mul.
|
||
TODO: When associated consts can be used as const generics, introduce
|
||
<code>Self::NUM_WINDOWS</code>, <code>Self::NUM_WINDOWS_BASE_FIELD</code>, <code>Self::NUM_WINDOWS_SHORT</code>
|
||
and use them to differentiate <code>FixedPoints</code> types.</p>
|
||
</div></details></div><h2 id="required-methods" class="small-section-header">Required Methods<a href="#required-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="tymethod.constrain_equal" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#47-52">source</a><h4 class="code-header">fn <a href="#tymethod.constrain_equal" class="fn">constrain_equal</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
a: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>,
|
||
b: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Constrains point <code>a</code> to be equal in value to point <code>b</code>.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.witness_point" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#57-61">source</a><h4 class="code-header">fn <a href="#tymethod.witness_point" class="fn">witness_point</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a><C>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Witnesses the given point as a private input to the circuit.
|
||
This allows the point to be the identity, mapped to (0, 0) in
|
||
affine coordinates.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.witness_point_non_id" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#65-69">source</a><h4 class="code-header">fn <a href="#tymethod.witness_point_non_id" class="fn">witness_point_non_id</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a><C>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Witnesses the given point as a private input to the circuit.
|
||
This returns an error if the point is the identity.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.witness_scalar_var" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#72-76">source</a><h4 class="code-header">fn <a href="#tymethod.witness_scalar_var" class="fn">witness_scalar_var</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a><C::Scalar>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Witnesses a full-width scalar to be used in variable-base multiplication.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.witness_scalar_fixed" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#79-83">source</a><h4 class="code-header">fn <a href="#tymethod.witness_scalar_fixed" class="fn">witness_scalar_fixed</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a><C::Scalar>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Witnesses a full-width scalar to be used in fixed-base multiplication.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.scalar_fixed_from_signed_short" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#87-91">source</a><h4 class="code-header">fn <a href="#tymethod.scalar_fixed_from_signed_short" class="fn">scalar_fixed_from_signed_short</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
magnitude_sign: (Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>, Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>)
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Converts a magnitude and sign that exists as variables in the circuit into a
|
||
signed short scalar to be used in fixed-base scalar multiplication.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.extract_p" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#94">source</a><h4 class="code-header">fn <a href="#tymethod.extract_p" class="fn">extract_p</a><Point: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>>(point: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Point</a>) -> Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.X" title="type halo2_gadgets::ecc::EccInstructions::X">X</a></h4></section></summary><div class="docblock"><p>Extracts the x-coordinate of a point.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.add_incomplete" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#99-104">source</a><h4 class="code-header">fn <a href="#tymethod.add_incomplete" class="fn">add_incomplete</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
a: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>,
|
||
b: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Performs incomplete point addition, returning <code>a + b</code>.</p>
|
||
<p>This returns an error in exceptional cases.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.add" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#107-112">source</a><h4 class="code-header">fn <a href="#tymethod.add" class="fn">add</a><A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>, B: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&A</a>,
|
||
b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&B</a>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Performs complete point addition, returning <code>a + b</code>.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.mul" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#115-120">source</a><h4 class="code-header">fn <a href="#tymethod.mul" class="fn">mul</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
scalar: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>,
|
||
base: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><(Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>), <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Performs variable-base scalar multiplication, returning <code>[scalar] base</code>.</p>
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||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.mul_fixed" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#123-128">source</a><h4 class="code-header">fn <a href="#tymethod.mul_fixed" class="fn">mul_fixed</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
scalar: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>,
|
||
base: &<Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><C>>::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.FullScalar" title="type halo2_gadgets::ecc::FixedPoints::FullScalar">FullScalar</a>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><(Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>), <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Performs fixed-base scalar multiplication using a full-width scalar, returning <code>[scalar] base</code>.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.mul_fixed_short" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#132-137">source</a><h4 class="code-header">fn <a href="#tymethod.mul_fixed_short" class="fn">mul_fixed_short</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
scalar: &Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>,
|
||
base: &<Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><C>>::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.ShortScalar" title="type halo2_gadgets::ecc::FixedPoints::ShortScalar">ShortScalar</a>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><(Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>), <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Performs fixed-base scalar multiplication using a short signed scalar, returning
|
||
<code>[scalar] base</code>.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.mul_fixed_base_field_elem" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#142-147">source</a><h4 class="code-header">fn <a href="#tymethod.mul_fixed_base_field_elem" class="fn">mul_fixed_base_field_elem</a>(
|
||
&self,
|
||
layouter: &mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a><C::Base>,
|
||
base_field_elem: Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>,
|
||
base: &<Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><C>>::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.Base" title="type halo2_gadgets::ecc::FixedPoints::Base">Base</a>
|
||
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Performs fixed-base scalar multiplication using a base field element as the scalar.
|
||
In the current implementation, this base field element must be output from another
|
||
instruction.</p>
|
||
</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><details class="toggle implementors-toggle"><summary><section id="impl-EccInstructions%3CEpAffine%3E-for-EccChip%3CFixed%3E" class="impl"><a class="src rightside" href="../../src/halo2_gadgets/ecc/chip.rs.html#410-595">source</a><a href="#impl-EccInstructions%3CEpAffine%3E-for-EccChip%3CFixed%3E" class="anchor">§</a><h3 class="code-header">impl<Fixed: <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><Affine>> <a class="trait" href="trait.EccInstructions.html" title="trait halo2_gadgets::ecc::EccInstructions">EccInstructions</a><EpAffine> for <a class="struct" href="chip/struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a><Fixed><span class="where fmt-newline">where
|
||
<Fixed as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><Affine>>::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.Base" title="type halo2_gadgets::ecc::FixedPoints::Base">Base</a>: <a class="trait" href="chip/trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a><Affine, FixedScalarKind = <a class="enum" href="chip/enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a>>,
|
||
<Fixed as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><Affine>>::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.FullScalar" title="type halo2_gadgets::ecc::FixedPoints::FullScalar">FullScalar</a>: <a class="trait" href="chip/trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a><Affine, FixedScalarKind = <a class="enum" href="chip/enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a>>,
|
||
<Fixed as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a><Affine>>::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.ShortScalar" title="type halo2_gadgets::ecc::FixedPoints::ShortScalar">ShortScalar</a>: <a class="trait" href="chip/trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a><Affine, FixedScalarKind = <a class="enum" href="chip/enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a>>,</span></h3></section></summary><div class="impl-items"><section id="associatedtype.ScalarFixed-1" class="associatedtype trait-impl"><a href="#associatedtype.ScalarFixed-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixed" class="associatedtype">ScalarFixed</a> = <a class="struct" href="chip/struct.EccScalarFixed.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixed">EccScalarFixed</a></h4></section><section id="associatedtype.ScalarFixedShort-1" class="associatedtype trait-impl"><a href="#associatedtype.ScalarFixedShort-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixedShort" class="associatedtype">ScalarFixedShort</a> = <a class="struct" href="chip/struct.EccScalarFixedShort.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixedShort">EccScalarFixedShort</a></h4></section><section id="associatedtype.ScalarVar-1" class="associatedtype trait-impl"><a href="#associatedtype.ScalarVar-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.ScalarVar" class="associatedtype">ScalarVar</a> = <a class="enum" href="chip/enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h4></section><section id="associatedtype.Point-1" class="associatedtype trait-impl"><a href="#associatedtype.Point-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.Point" class="associatedtype">Point</a> = <a class="struct" href="chip/struct.EccPoint.html" title="struct halo2_gadgets::ecc::chip::EccPoint">EccPoint</a></h4></section><section id="associatedtype.NonIdentityPoint-1" class="associatedtype trait-impl"><a href="#associatedtype.NonIdentityPoint-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.NonIdentityPoint" class="associatedtype">NonIdentityPoint</a> = <a class="struct" href="chip/struct.NonIdentityEccPoint.html" title="struct halo2_gadgets::ecc::chip::NonIdentityEccPoint">NonIdentityEccPoint</a></h4></section><section id="associatedtype.X-1" class="associatedtype trait-impl"><a href="#associatedtype.X-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.X" class="associatedtype">X</a> = <a class="struct" href="../../halo2_proofs/circuit/struct.AssignedCell.html" title="struct halo2_proofs::circuit::AssignedCell">AssignedCell</a><Fp, Fp></h4></section><section id="associatedtype.FixedPoints-1" class="associatedtype trait-impl"><a href="#associatedtype.FixedPoints-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.FixedPoints" class="associatedtype">FixedPoints</a> = Fixed</h4></section></div></details></div><script src="../../implementors/halo2_gadgets/ecc/trait.EccInstructions.js" async></script></section></div></main></body></html> |