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</a><h2class="location"><ahref="#">Module ecc</a></h2><divclass="sidebar-elems"><section><divclass="block"><ul><li><ahref="#modules">Modules</a></li><li><ahref="#structs">Structs</a></li><li><ahref="#traits">Traits</a></li></ul></div></section><divid="sidebar-vars"data-name="ecc"data-ty="mod"data-relpath="./"></div><scriptdefersrc="./sidebar-items.js"></script></div></nav><main><divclass="width-limiter"><divclass="sub-container"><aclass="sub-logo-container"href="../../halo2_gadgets/index.html"><imgclass="rust-logo"src="../../rust-logo.svg"alt="logo"></a><navclass="sub"><divclass="theme-picker hidden"><buttonid="theme-picker"aria-label="Pick another theme!"aria-haspopup="menu"title="themes"><imgwidth="22"height="22"alt="Pick another theme!"src="../../brush.svg"></button><divid="theme-choices"role="menu"></div></div><formclass="search-form"><divclass="search-container"><span></span><inputclass="search-input"name="search"autocomplete="off"spellcheck="false"placeholder="Click or press ‘S’ to search, ‘?’ for more options…"type="search"><buttontype="button"id="help-button"title="help">?</button><aid="settings-menu"href="../../settings.html"title="settings"><imgwidth="22"height="22"alt="Change settings"src="../../wheel.svg"></a></div></form></nav></div><sectionid="main-content"class="content"><divclass="main-heading">
<h1class="fqn"><spanclass="in-band">Module <ahref="../index.html">halo2_gadgets</a>::<wbr><aclass="mod"href="#">ecc</a><buttonid="copy-path"onclick="copy_path(this)"title="Copy item path to clipboard"><imgsrc="../../clipboard.svg"width="19"height="18"alt="Copy item path"></button></span></h1><spanclass="out-of-band"><aclass="srclink"href="../../src/halo2_gadgets/ecc.rs.html#1-831">source</a> · <aid="toggle-all-docs"href="javascript:void(0)"title="collapse all docs">[<spanclass="inner">−</span>]</a></span></div><detailsclass="rustdoc-toggle top-doc"open><summaryclass="hideme"><span>Expand description</span></summary><divclass="docblock"><p>Gadgets for elliptic curve operations.</p>
<divclass="item-table"><divclass="item-row"><divclass="item-left module-item"><aclass="mod"href="chip/index.html"title="halo2_gadgets::ecc::chip mod">chip</a></div><divclass="item-right docblock-short"><p>Chip implementations for the ECC gadgets.</p>
<divclass="item-table"><divclass="item-row"><divclass="item-left module-item"><aclass="struct"href="struct.FixedPoint.html"title="halo2_gadgets::ecc::FixedPoint struct">FixedPoint</a></div><divclass="item-right docblock-short"><p>A constant elliptic curve point over the given curve, for which window tables have
been provided to make scalar multiplication more efficient.</p>
</div></div><divclass="item-row"><divclass="item-left module-item"><aclass="struct"href="struct.FixedPointBaseField.html"title="halo2_gadgets::ecc::FixedPointBaseField struct">FixedPointBaseField</a></div><divclass="item-right docblock-short"><p>A constant elliptic curve point over the given curve, used in scalar multiplication
with a base field element</p>
</div></div><divclass="item-row"><divclass="item-left module-item"><aclass="struct"href="struct.FixedPointShort.html"title="halo2_gadgets::ecc::FixedPointShort struct">FixedPointShort</a></div><divclass="item-right docblock-short"><p>A constant elliptic curve point over the given curve, used in scalar multiplication
with a short signed exponent</p>
</div></div><divclass="item-row"><divclass="item-left module-item"><aclass="struct"href="struct.NonIdentityPoint.html"title="halo2_gadgets::ecc::NonIdentityPoint struct">NonIdentityPoint</a></div><divclass="item-right docblock-short"><p>A non-identity elliptic curve point over the given curve.</p>
</div></div><divclass="item-row"><divclass="item-left module-item"><aclass="struct"href="struct.Point.html"title="halo2_gadgets::ecc::Point struct">Point</a></div><divclass="item-right docblock-short"><p>An elliptic curve point over the given curve.</p>
</div></div><divclass="item-row"><divclass="item-left module-item"><aclass="struct"href="struct.ScalarFixed.html"title="halo2_gadgets::ecc::ScalarFixed struct">ScalarFixed</a></div><divclass="item-right docblock-short"><p>A full-width element of the given elliptic curve’s scalar field, to be used for fixed-base scalar mul.</p>
</div></div><divclass="item-row"><divclass="item-left module-item"><aclass="struct"href="struct.ScalarFixedShort.html"title="halo2_gadgets::ecc::ScalarFixedShort struct">ScalarFixedShort</a></div><divclass="item-right docblock-short"><p>A signed short element of the given elliptic curve’s scalar field, to be used for fixed-base scalar mul.</p>
</div></div><divclass="item-row"><divclass="item-left module-item"><aclass="struct"href="struct.ScalarVar.html"title="halo2_gadgets::ecc::ScalarVar struct">ScalarVar</a></div><divclass="item-right docblock-short"><p>An element of the given elliptic curve’s base field, that is used as a scalar
in variable-base scalar mul.</p>
</div></div><divclass="item-row"><divclass="item-left module-item"><aclass="struct"href="struct.X.html"title="halo2_gadgets::ecc::X struct">X</a></div><divclass="item-right docblock-short"><p>The affine short Weierstrass x-coordinate of an elliptic curve point over the
<divclass="item-table"><divclass="item-row"><divclass="item-left module-item"><aclass="trait"href="trait.EccInstructions.html"title="halo2_gadgets::ecc::EccInstructions trait">EccInstructions</a></div><divclass="item-right docblock-short"><p>The set of circuit instructions required to use the ECC gadgets.</p>
</div></div><divclass="item-row"><divclass="item-left module-item"><aclass="trait"href="trait.FixedPoints.html"title="halo2_gadgets::ecc::FixedPoints trait">FixedPoints</a></div><divclass="item-right docblock-short"><p>Defines the fixed points for a given instantiation of the ECC chip.</p>
