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src/stdlib_experimental_quadrature.md

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<!-- vim-markdown-toc GFM -->
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* [`trapz` - integrate sampled values using trapezoidal rule](#trapz---integrate-sampled-values-using-trapezoidal-rule)
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* [Syntax](#syntax)
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* [Arguments](#arguments)
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* [Return value](#return-value)
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* [Example](#example)
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* [`trapz_weights` - trapezoidal rule weights for given abscissas](#trapz_weights---trapezoidal-rule-weights-for-given-abscissas)
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* [Syntax](#syntax-1)
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* [Arguments](#arguments-1)
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* [Return value](#return-value-1)
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* [Example](#example-1)
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* [`trapz` - integrate sampled values using trapezoidal rule](#trapz---integrate-sampled-values-using-trapezoidal-rule)
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* [Syntax](#syntax)
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* [Arguments](#arguments)
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* [Return value](#return-value)
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* [Example](#example)
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* [`trapz_weights` - trapezoidal rule weights for given abscissas](#trapz_weights---trapezoidal-rule-weights-for-given-abscissas)
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* [Syntax](#syntax-1)
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* [Arguments](#arguments-1)
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* [Return value](#return-value-1)
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* [Example](#example-1)
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* [`simps` - integrate sampled values using Simpson's rule (to be implemented)](#simps---integrate-sampled-values-using-simpsons-rule-to-be-implemented)
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* [Syntax](#syntax-2)
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* [Arguments](#arguments-2)
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* [Return value](#return-value-2)
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* [Example](#example-2)
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* [Syntax](#syntax-2)
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* [Arguments](#arguments-2)
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* [Return value](#return-value-2)
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* [Example](#example-2)
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* [`simps_weights` - Simpson's rule weights for given abscissas (to be implemented)](#simps_weights---simpsons-rule-weights-for-given-abscissas-to-be-implemented)
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* [Syntax](#syntax-3)
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* [Arguments](#arguments-3)
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* [Return value](#return-value-3)
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* [Example](#example-3)
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* [Syntax](#syntax-3)
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* [Arguments](#arguments-3)
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* [Return value](#return-value-3)
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* [Example](#example-3)
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<!-- vim-markdown-toc -->
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```
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# `simps` - integrate sampled values using Simpson's rule (to be implemented)
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## `simps` - integrate sampled values using Simpson's rule (to be implemented)
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Returns the Simpson's rule integral of an array `y` representing discrete samples of a function. The integral is computed assuming either equidistant abscissas with spacing `dx` or arbitary abscissas `x`.
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TBD
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# `simps_weights` - Simpson's rule weights for given abscissas (to be implemented)
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## `simps_weights` - Simpson's rule weights for given abscissas (to be implemented)
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Given an array of abscissas `x`, computes the array of weights `w` such that if `y` represented function values tabulated at `x`, then `sum(w*y)` produces a Simpson's rule approximation to the integral.
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