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<a href="../MathNet.Numerics.Integration/DoubleExponentialTransformation.htm">DoubleExponentialTransformation</a>
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<a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm">GaussKronrodRule</a>
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<a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm" class="current">GaussLegendreRule</a>
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<a href="../MathNet.Numerics.Integration/NewtonCotesTrapeziumRule.htm">NewtonCotesTrapeziumRule</a>
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<div class="header">
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<p class="class"><strong>Type</strong> GaussLegendreRule</p>
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<p><strong>Namespace</strong> MathNet.Numerics.Integration</p>
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</div>
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<div class="sub-header">
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<div id="summary">Approximates a definite integral using an Nth order Gauss-Legendre rule. Precomputed Gauss-Legendre abscissas/weights for orders 2-20, 32, 64, 96, 100, 128, 256, 512, 1024 are used, otherwise they're calculated on the fly.
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</div>
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<h3 class="section">Constructors</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#.ctor">GaussLegendreRule</a></li>
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</ul>
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<h3 class="section">Static Functions</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#ContourIntegrate">ContourIntegrate</a></li>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#Integrate">Integrate</a></li>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#Integrate">Integrate</a></li>
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</ul>
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<h3 class="section">Methods</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#Equals">Equals</a></li>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#GetAbscissa">GetAbscissa</a></li>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#GetHashCode">GetHashCode</a></li>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#GetType">GetType</a></li>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#GetWeight">GetWeight</a></li>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#ToString">ToString</a></li>
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</ul>
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<h3 class="section">Properties</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#Abscissas">Abscissas</a></li>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#IntervalBegin">IntervalBegin</a></li>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#IntervalEnd">IntervalEnd</a></li>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#Order">Order</a></li>
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<li><a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm#Weights">Weights</a></li>
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</ul>
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</div>
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<h3 class="section">Public Constructors</h3>
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<div id=".ctor" class="method">
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<h4> <strong>GaussLegendreRule</strong>(<span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.int">int</span> order)</h4>
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<div class="content">Initializes a new instance of the <a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm">GaussLegendreRule</a> class.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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<p class="comments">Where the interval starts, inclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops, inclusive and finite. </p>
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<h6><code><span title="System.int">int</span></code> order</h6>
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<p class="comments">Defines an Nth order Gauss-Legendre rule. The order also defines the number of abscissas and weights for the rule. Precomputed Gauss-Legendre abscissas/weights for orders 2-20, 32, 64, 96, 100, 128, 256, 512, 1024 are used, otherwise they're calculated on the fly. </p>
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</div>
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</div>
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</div>
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<h3 class="section">Public Static Functions</h3>
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<div id="ContourIntegrate" class="method">
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<h4><span title="System.Numerics.Complex">Complex</span> <strong>ContourIntegrate</strong>(<span title="System.Func<double, Complex>">Func<double, Complex></span> f, <span title="System.double">double</span> invervalBegin, <span title="System.double">double</span> invervalEnd, <span title="System.int">int</span> order)</h4>
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<div class="content">Approximates a definite integral using an Nth order Gauss-Legendre rule.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, Complex>">Func<double, Complex></span></code> f</h6>
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<p class="comments">The analytic smooth complex function to integrate, defined on the real domain. </p>
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<h6><code><span title="System.double">double</span></code> invervalBegin</h6>
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<p class="comments">Where the interval starts, exclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> invervalEnd</h6>
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<p class="comments">Where the interval ends, exclusive and finite. </p>
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<h6><code><span title="System.int">int</span></code> order</h6>
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<p class="comments">Defines an Nth order Gauss-Legendre rule. The order also defines the number of abscissas and weights for the rule. Precomputed Gauss-Legendre abscissas/weights for orders 2-20, 32, 64, 96, 100, 128, 256, 512, 1024 are used, otherwise they're calculated on the fly. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="Integrate" class="method">
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<h4><span title="System.double">double</span> <strong>Integrate</strong>(<span title="System.Func<double, double>">Func<double, double></span> f, <span title="System.double">double</span> invervalBegin, <span title="System.double">double</span> invervalEnd, <span title="System.int">int</span> order)</h4>
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<div class="content">Approximates a definite integral using an Nth order Gauss-Legendre rule.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double>">Func<double, double></span></code> f</h6>
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<p class="comments">The analytic smooth function to integrate. </p>
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<h6><code><span title="System.double">double</span></code> invervalBegin</h6>
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<p class="comments">Where the interval starts, exclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> invervalEnd</h6>
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<p class="comments">Where the interval ends, exclusive and finite. </p>
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<h6><code><span title="System.int">int</span></code> order</h6>
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<p class="comments">Defines an Nth order Gauss-Legendre rule. The order also defines the number of abscissas and weights for the rule. Precomputed Gauss-Legendre abscissas/weights for orders 2-20, 32, 64, 96, 100, 128, 256, 512, 1024 are used, otherwise they're calculated on the fly. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.double">double</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="Integrate" class="method">
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<h4><span title="System.double">double</span> <strong>Integrate</strong>(<span title="System.Func<double, double, double>">Func<double, double, double></span> f, <span title="System.double">double</span> invervalBeginA, <span title="System.double">double</span> invervalEndA, <span title="System.double">double</span> invervalBeginB, <span title="System.double">double</span> invervalEndB, <span title="System.int">int</span> order)</h4>
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<div class="content">Approximates a 2-dimensional definite integral using an Nth order Gauss-Legendre rule over the rectangle [a,b] x [c,d].
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double, double>">Func<double, double, double></span></code> f</h6>
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<p class="comments">The 2-dimensional analytic smooth function to integrate. </p>
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<h6><code><span title="System.double">double</span></code> invervalBeginA</h6>
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<p class="comments">Where the interval starts for the first (inside) integral, exclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> invervalEndA</h6>
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<p class="comments">Where the interval ends for the first (inside) integral, exclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> invervalBeginB</h6>
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<p class="comments">Where the interval starts for the second (outside) integral, exclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> invervalEndB</h6>
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<p class="comments">Where the interval ends for the second (outside) integral, exclusive and finite. </p>
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<h6><code><span title="System.int">int</span></code> order</h6>
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<p class="comments">Defines an Nth order Gauss-Legendre rule. The order also defines the number of abscissas and weights for the rule. Precomputed Gauss-Legendre abscissas/weights for orders 2-20, 32, 64, 96, 100, 128, 256, 512, 1024 are used, otherwise they're calculated on the fly. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.double">double</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<h3 class="section">Public Methods</h3>
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<div id="Equals" class="method">
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<h4><span title="System.bool">bool</span> <strong>Equals</strong>(<span title="System.object">object</span> obj)</h4>
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<div class="content">
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</div>
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</div>
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<div id="GetAbscissa" class="method">
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<h4><span title="System.double">double</span> <strong>GetAbscissa</strong>(<span title="System.int">int</span> index)</h4>
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<div class="content">Gettter for the ith abscissa.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.int">int</span></code> index</h6>
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<p class="comments">Index of the ith abscissa. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.double">double</span></code></h6>
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<p>The ith abscissa. </p>
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</div>
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</div>
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</div>
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<div id="GetHashCode" class="method">
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<h4><span title="System.int">int</span> <strong>GetHashCode</strong>()</h4>
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<div class="content">
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</div>
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</div>
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<div id="GetType" class="method">
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<h4><span title="System.Type">Type</span> <strong>GetType</strong>()</h4>
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<div class="content">
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</div>
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</div>
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<div id="GetWeight" class="method">
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<h4><span title="System.double">double</span> <strong>GetWeight</strong>(<span title="System.int">int</span> index)</h4>
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<div class="content">Getter for the ith weight.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.int">int</span></code> index</h6>
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<p class="comments">Index of the ith weight. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.double">double</span></code></h6>
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<p>The ith weight. </p>
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</div>
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</div>
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</div>
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<div id="ToString" class="method">
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<h4><span title="System.string">string</span> <strong>ToString</strong>()</h4>
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<div class="content">
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</div>
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</div>
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<h3 class="section">Public Properties</h3>
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<div id="Abscissas" class="method">
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<h4><span title="System.Double[]">Double[]</span> <strong>Abscissas</strong> get; </h4>
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<div class="content">Getter that returns a clone of the array containing the abscissas.
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</div>
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</div>
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<div id="IntervalBegin" class="method">
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<h4><span title="System.double">double</span> <strong>IntervalBegin</strong> get; </h4>
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<div class="content">Getter for the InvervalBegin.
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</div>
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</div>
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<div id="IntervalEnd" class="method">
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<h4><span title="System.double">double</span> <strong>IntervalEnd</strong> get; </h4>
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<div class="content">Getter for the InvervalEnd.
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</div>
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</div>
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<div id="Order" class="method">
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<h4><span title="System.int">int</span> <strong>Order</strong> get; </h4>
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<div class="content">Getter for the order.
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</div>
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</div>
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<div id="Weights" class="method">
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<h4><span title="System.Double[]">Double[]</span> <strong>Weights</strong> get; </h4>
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<div class="content">Getter that returns a clone of the array containing the weights.
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</div>
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</div>
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<div id="footer">
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<p>Based on v5.0.0.0 of MathNet.Numerics (Math.NET Numerics)</p>
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<p>Generated by <a href="http://docu.jagregory.com">docu</a></p>
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</div>
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</html>
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