forked from kscience/kmath
54 lines
9.4 KiB
HTML
54 lines
9.4 KiB
HTML
<html>
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<head>
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<meta name="viewport" content="width=device-width, initial-scale=1" charset="UTF-8">
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<title>simpleAutoDiff</title>
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</head><body><link href="../../../images/logo-icon.svg" rel="icon" type="image/svg"><script>var pathToRoot = "../../";</script><script type="text/javascript" src="../../scripts/sourceset_dependencies.js" async></script><link href="../../styles/style.css" rel="Stylesheet"><link href="../../styles/logo-styles.css" rel="Stylesheet"><link href="../../styles/jetbrains-mono.css" rel="Stylesheet"><link href="../../styles/main.css" rel="Stylesheet"><script type="text/javascript" src="../../scripts/clipboard.js" async></script><script type="text/javascript" src="../../scripts/navigation-loader.js" async></script><script type="text/javascript" src="../../scripts/platform-content-handler.js" async></script><script type="text/javascript" src="../../scripts/main.js" async></script>
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<div class="main-content" id="content" pageids="kmath-core::space.kscience.kmath.expressions//simpleAutoDiff/TypeParam(bounds=[space.kscience.kmath.operations.Field[TypeParam(bounds=[kotlin.Any])]])#kotlin.collections.Map[space.kscience.kmath.expressions.Symbol,TypeParam(bounds=[kotlin.Any])]#kotlin.Function1[space.kscience.kmath.expressions.SimpleAutoDiffField[TypeParam(bounds=[kotlin.Any]),TypeParam(bounds=[space.kscience.kmath.operations.Field[TypeParam(bounds=[kotlin.Any])]])],space.kscience.kmath.expressions.AutoDiffValue[TypeParam(bounds=[kotlin.Any])]]/PointingToDeclaration//244675578">
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<div class="breadcrumbs"><a href="../index.html">kmath-core</a>/<a href="index.html">space.kscience.kmath.expressions</a>/<a href="simple-auto-diff.html">simpleAutoDiff</a></div>
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<div class="cover ">
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<h1 class="cover"><span>simple</span><wbr><span>Auto</span><wbr><span>Diff</span></h1>
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</div>
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<div class="divergent-group" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"><div class="with-platform-tags"><span class="pull-right"></span></div>
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<div>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">fun <<a href="simple-auto-diff.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-any/index.html">Any</a>, <a href="simple-auto-diff.html">F</a> : <a href="../space.kscience.kmath.operations/-field/index.html">Field</a><<a href="simple-auto-diff.html">T</a>>> <a href="simple-auto-diff.html">F</a>.<a href="simple-auto-diff.html">simpleAutoDiff</a>(bindings: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-map/index.html">Map</a><<a href="-symbol/index.html">Symbol</a>, <a href="simple-auto-diff.html">T</a>>, body: <a href="-simple-auto-diff-field/index.html">SimpleAutoDiffField</a><<a href="simple-auto-diff.html">T</a>, <a href="simple-auto-diff.html">F</a>>.() -> <a href="-auto-diff-value/index.html">AutoDiffValue</a><<a href="simple-auto-diff.html">T</a>>): <a href="-derivation-result/index.html">DerivationResult</a><<a href="simple-auto-diff.html">T</a>><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
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</div>
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<p class="paragraph">Runs differentiation and establishes <a href="-simple-auto-diff-field/index.html">SimpleAutoDiffField</a> context inside the block of code.</p><p class="paragraph">The partial derivatives are placed in argument <code>d</code> variable</p><p class="paragraph">Example:</p><div class="sample-container"><code class="" theme="idea"><pre>val x by symbol // define variable(s) and their values<br>val y = DoubleField.withAutoDiff() { sqr(x) + 5 * x + 3 } // write formulate in deriv context<br>assertEquals(17.0, y.x) // the value of result (y)<br>assertEquals(9.0, x.d) // dy/dx</pre></code></div><h4 class="">Return</h4><p class="paragraph">the result of differentiation.</p><h2 class="">Parameters</h2><div data-togglable="Parameters"><div class="platform-hinted WithExtraAttributes" data-platform-hinted="data-platform-hinted" data-togglable="Parameters"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><div data-togglable="Parameters"><div class="table" data-togglable="Parameters"><div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"><div class="main-subrow keyValue WithExtraAttributes"><div class=""><span class="inline-flex">body</span></div><div><div class="title"><div data-togglable="Parameters"><p class="paragraph">the action in <a href="-simple-auto-diff-field/index.html">SimpleAutoDiffField</a> context returning <a href="-auto-diff-value/index.html">AutoDiffValue</a> to differentiate with respect to.</p></div></div></div></div></div></div></div></div></div></div></div>
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<div class="divergent-group" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"><div class="with-platform-tags"><span class="pull-right"></span></div>
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<div>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">fun <<a href="simple-auto-diff.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-any/index.html">Any</a>, <a href="simple-auto-diff.html">F</a> : <a href="../space.kscience.kmath.operations/-field/index.html">Field</a><<a href="simple-auto-diff.html">T</a>>> <a href="simple-auto-diff.html">F</a>.<a href="simple-auto-diff.html">simpleAutoDiff</a>(vararg bindings: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-pair/index.html">Pair</a><<a href="-symbol/index.html">Symbol</a>, <a href="simple-auto-diff.html">T</a>>, body: <a href="-simple-auto-diff-field/index.html">SimpleAutoDiffField</a><<a href="simple-auto-diff.html">T</a>, <a href="simple-auto-diff.html">F</a>>.() -> <a href="-auto-diff-value/index.html">AutoDiffValue</a><<a href="simple-auto-diff.html">T</a>>): <a href="-derivation-result/index.html">DerivationResult</a><<a href="simple-auto-diff.html">T</a>><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
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</div>
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</div>
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<div class="divergent-group" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"><div class="with-platform-tags"><span class="pull-right"></span></div>
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<div>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">fun <<a href="simple-auto-diff.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-any/index.html">Any</a>, <a href="simple-auto-diff.html">F</a> : <a href="../space.kscience.kmath.operations/-field/index.html">Field</a><<a href="simple-auto-diff.html">T</a>>> <a href="simple-auto-diff.html">simpleAutoDiff</a>(field: <a href="simple-auto-diff.html">F</a>): <a href="-auto-diff-processor/index.html">AutoDiffProcessor</a><<a href="simple-auto-diff.html">T</a>, <a href="-auto-diff-value/index.html">AutoDiffValue</a><<a href="simple-auto-diff.html">T</a>>, <a href="-simple-auto-diff-field/index.html">SimpleAutoDiffField</a><<a href="simple-auto-diff.html">T</a>, <a href="simple-auto-diff.html">F</a>>><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
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</div>
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<p class="paragraph">Generate <a href="-auto-diff-processor/index.html">AutoDiffProcessor</a> for <a href="-simple-auto-diff-expression/index.html">SimpleAutoDiffExpression</a></p></div>
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</div>
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