Rely on other packages for higher performance #7
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Codecov Report
@@ Coverage Diff @@
## master #7 +/- ##
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- Coverage 70.79% 67.31% -3.48%
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Files 29 29
Lines 1630 1735 +105
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+ Hits 1154 1168 +14
- Misses 476 567 +91
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Based on suggestions in issue JuliaMath/SpecialFunctions.jl#175 this
Uses
FastTransformsto represent orthogonal polynomials in one basis in another, as possible. (Fornow, only when
T<:AbstractFloat.) Introduces a means to create orthonormal basis vectors to take advantage of that option within theFastTransformsfunctions. This exposed some baked in assumptions that p_0 = 1, which isn't the case for this normalization.Use
FastGaussQuadratureto compute gauss nodes and weights, as possibleUses hypergeometric functions from
HypergeometricFunctions, as possible. Create aBasis(P,n)type for direct evaluation of basis vectors through the hypergeometric formulation as an alternative to Clenshaw reduction.some code cleanup