forked from kscience/kmath
71 lines
14 KiB
HTML
71 lines
14 KiB
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<meta name="viewport" content="width=device-width, initial-scale=1" charset="UTF-8">
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<title>integrate</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-functions::space.kscience.kmath.integration//integrate/space.kscience.kmath.integration.GaussIntegrator[TypeParam(bounds=[kotlin.Any])]#kotlin.ranges.ClosedRange[kotlin.Double]#kotlin.Int#kotlin.Int#kotlin.Array[space.kscience.kmath.integration.IntegrandFeature]#kotlin.Function1[kotlin.Double,TypeParam(bounds=[kotlin.Any])]/PointingToDeclaration//-597741372">
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<div class="breadcrumbs"><a href="../index.html">kmath-functions</a>/<a href="index.html">space.kscience.kmath.integration</a>/<a href="integrate.html">integrate</a></div>
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<div class="cover ">
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<h1 class="cover"><span>integrate</span></h1>
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</div>
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<div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions: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-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><div class="block"><div class="block">@<a href="../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html">UnstableKMathAPI</a>()</div></div>fun <<a href="integrate.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-any/index.html">Any</a>> <a href="-gauss-integrator/index.html">GaussIntegrator</a><<a href="integrate.html">T</a>>.<a href="integrate.html">integrate</a>(range: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.ranges/-closed-range/index.html">ClosedRange</a><<a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a>>, order: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-int/index.html">Int</a> = 10, intervals: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-int/index.html">Int</a> = 10, vararg features: <a href="-integrand-feature/index.html">IntegrandFeature</a>, function: (<a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a>) -> <a href="integrate.html">T</a>): <a href="-univariate-integrand/index.html">UnivariateIntegrand</a><<a href="integrate.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">Integrate using <a href="integrate.html">intervals</a> segments with Gauss-Legendre rule of <a href="integrate.html">order</a> order.</p></div>
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<div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions: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-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><div class="block"><div class="block">@<a href="../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html">UnstableKMathAPI</a>()</div></div>fun <<a href="integrate.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a><<a href="integrate.html">T</a>>> <a href="../space.kscience.kmath.functions/-piecewise-polynomial/index.html">PiecewisePolynomial</a><<a href="integrate.html">T</a>>.<a href="integrate.html">integrate</a>(algebra: <a href="../../kmath-core/space.kscience.kmath.operations/-field/index.html">Field</a><<a href="integrate.html">T</a>>): <a href="../space.kscience.kmath.functions/-piecewise-polynomial/index.html">PiecewisePolynomial</a><<a href="integrate.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">Compute analytical indefinite integral of this <a href="../space.kscience.kmath.functions/-piecewise-polynomial/index.html">PiecewisePolynomial</a>, keeping all intervals intact</p></div>
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<div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions: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-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><div class="block"><div class="block">@<a href="../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html">UnstableKMathAPI</a>()</div></div>fun <<a href="integrate.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a><<a href="integrate.html">T</a>>> <a href="../space.kscience.kmath.functions/-piecewise-polynomial/index.html">PiecewisePolynomial</a><<a href="integrate.html">T</a>>.<a href="integrate.html">integrate</a>(algebra: <a href="../../kmath-core/space.kscience.kmath.operations/-field/index.html">Field</a><<a href="integrate.html">T</a>>, range: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.ranges/-closed-range/index.html">ClosedRange</a><<a href="integrate.html">T</a>>): <a href="integrate.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">Compute definite integral of given <a href="../space.kscience.kmath.functions/-piecewise-polynomial/index.html">PiecewisePolynomial</a> piece by piece in a given <a href="integrate.html">range</a> Requires <a href="-univariate-integration-nodes/index.html">UnivariateIntegrationNodes</a> or <a href="-integration-range/index.html">IntegrationRange</a> and <a href="-integrand-max-calls/index.html">IntegrandMaxCalls</a></p></div>
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<div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions: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-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><div class="block"><div class="block">@<a href="../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html">UnstableKMathAPI</a>()</div></div>fun <<a href="integrate.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-any/index.html">Any</a>> <a href="index.html#1666897239%2FClasslikes%2F-597741372">UnivariateIntegrator</a><<a href="integrate.html">T</a>>.<a href="integrate.html">integrate</a>(vararg features: <a href="-integrand-feature/index.html">IntegrandFeature</a>, function: (<a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a>) -> <a href="integrate.html">T</a>): <a href="-univariate-integrand/index.html">UnivariateIntegrand</a><<a href="integrate.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">A shortcut method to integrate a <a href="integrate.html">function</a> with additional <a href="integrate.html">features</a>. Range must be provided in features. The <a href="integrate.html">function</a> is placed in the end position to allow passing a lambda.</p></div>
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<div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions: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-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><div class="block"><div class="block">@<a href="../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html">UnstableKMathAPI</a>()</div></div>fun <<a href="integrate.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-any/index.html">Any</a>> <a href="index.html#1666897239%2FClasslikes%2F-597741372">UnivariateIntegrator</a><<a href="integrate.html">T</a>>.<a href="integrate.html">integrate</a>(range: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.ranges/-closed-range/index.html">ClosedRange</a><<a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a>>, vararg features: <a href="-integrand-feature/index.html">IntegrandFeature</a>, function: (<a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a>) -> <a href="integrate.html">T</a>): <a href="-univariate-integrand/index.html">UnivariateIntegrand</a><<a href="integrate.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">A shortcut method to integrate a <a href="integrate.html">function</a> in <a href="integrate.html">range</a> with additional <a href="integrate.html">features</a>. The <a href="integrate.html">function</a> is placed in the end position to allow passing a lambda.</p></div>
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<div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions: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-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><div class="block"><div class="block">@<a href="../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html">UnstableKMathAPI</a>()</div></div>fun <<a href="integrate.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-any/index.html">Any</a>> <a href="index.html#1666897239%2FClasslikes%2F-597741372">UnivariateIntegrator</a><<a href="integrate.html">T</a>>.<a href="integrate.html">integrate</a>(range: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.ranges/-closed-range/index.html">ClosedRange</a><<a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a>>, featureBuilder: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-mutable-list/index.html">MutableList</a><<a href="-integrand-feature/index.html">IntegrandFeature</a>>.() -> <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-unit/index.html">Unit</a> = {}, function: (<a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a>) -> <a href="integrate.html">T</a>): <a href="-univariate-integrand/index.html">UnivariateIntegrand</a><<a href="integrate.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">A shortcut method to integrate a <a href="integrate.html">function</a> in <a href="integrate.html">range</a> with additional features. The <a href="integrate.html">function</a> is placed in the end position to allow passing a lambda.</p></div>
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<div class="footer"><span class="go-to-top-icon"><a href="#content"></a></span><span>© 2021 Copyright</span><span class="pull-right"><span>Generated by </span><a href="https://github.com/Kotlin/dokka"><span>dokka</span><span class="padded-icon"></span></a></span></div>
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