From 9a9f982ff10e2130475204985c6f98637ce826b3 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Mon, 10 Feb 2025 08:17:38 -0300 Subject: More changes --- fits.cpp | 10 +- fits.nb | 1033 ++++++++++++++++++++++++++++++++------------------------------ 2 files changed, 536 insertions(+), 507 deletions(-) diff --git a/fits.cpp b/fits.cpp index d86af73..370b63d 100644 --- a/fits.cpp +++ b/fits.cpp @@ -22,14 +22,8 @@ inline Real basisFunctions(unsigned N, unsigned i, Real x) { } */ -Real legendreP(unsigned n, Real x) { - if (n == 0) return 1; - else if (n == 1) return x; - else return ((2 * (n - 1) + 1) * x * legendreP(n - 1, x) - (n - 1) * legendreP(n - 2, x)) / n; -} - inline Real basisFunctions(unsigned N, unsigned i, Real x) { - return legendreP(i, x); + return std::legendre(i, 0.5 * (x + 1.0)); } /* @@ -91,7 +85,7 @@ Vector gradientDescent(const std::list>& data, const Vect while ( xₜ₊₁ = xₜ - α * ∇H, Hₜ₊₁ = cost(data, xₜ₊₁), - Hₜ₊₁ > Hₜ - 0.5 * α * m + Hₜ₊₁ > Hₜ - 0.0 * α * m ) { α /= 2; } diff --git a/fits.nb b/fits.nb index 74424d5..0167b72 100644 --- a/fits.nb +++ b/fits.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 154, 7] -NotebookDataLength[ 614374, 11053] -NotebookOptionsPosition[ 609401, 10970] -NotebookOutlinePosition[ 609796, 10986] -CellTagsIndexPosition[ 609753, 10983] +NotebookDataLength[ 616789, 11088] +NotebookOptionsPosition[ 611816, 11005] +NotebookOutlinePosition[ 612211, 11021] +CellTagsIndexPosition[ 612168, 11018] WindowFrame->Normal*) (* Beginning of Notebook Content *) @@ -148,7 +148,9 @@ SVrD+MoeAJ5mnOw= False|>, "Meta" -> <| "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> - ListPlot, "GroupHighlight" -> False|>|>]], + ListPlot, "GroupHighlight" -> False|>|>], + ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, { + 4.503599627370496*^15, -4.503599627370496*^15}}], Selectable->False]}, Annotation[{{ Annotation[{ @@ -314,7 +316,9 @@ 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"GroupHighlight" -> False|>|>], + ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, { + 4.503599627370496*^15, -4.503599627370496*^15}}], Selectable->False]}, Annotation[{{{{}, {}, Annotation[{ @@ -2420,7 +2428,9 @@ tOB/IhAvzw== False|>, "Meta" -> <| "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> - ListPlot, "GroupHighlight" -> False|>|>]], + ListPlot, "GroupHighlight" -> False|>|>], + ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, { + 4.503599627370496*^15, -4.503599627370496*^15}}], Selectable->False]}, Annotation[{{ Annotation[{ @@ -3926,7 +3936,9 @@ gtCc5rT7Ezw40s2JlbUpg958kzMukzzIS6z5WvmmDD6fSV2rN03l49CL6QvC False|>, "Meta" -> <| "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> - Plot, "GroupHighlight" -> False|>|>]], + Plot, "GroupHighlight" -> False|>|>], + ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, { + 4.503599627370496*^15, -4.503599627370496*^15}}], Selectable->False]}, 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ListPlot, "GroupHighlight" -> False|>|>]], + ListPlot, "GroupHighlight" -> False|>|>], + ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, { + 4.503599627370496*^15, -4.503599627370496*^15}}], Selectable->False]}, Annotation[{{ Annotation[{ @@ -10874,18 +10909,17 @@ Sqs= AbsoluteThickness[2], GrayLevel[0]], - Point[{{0., 1.}, {0.111111111111111, 0.766044443118978}, { - 0.222222222222222, 0.17364817766693}, {0.333333333333333, -0.5}, { - 0.444444444444444, -0.939692620785908}, { - 0.555555555555556, -0.939692620785908}, { - 0.666666666666667, -0.5}, {0.777777777777778, 0.17364817766693}, { - 0.888888888888889, 0.766044443118978}, {1., 1.}}]}, + Point[{{0., 1.01874181434336}, {0.166666666666667, + 0.538230577148422}, {0.333333333333333, -0.478732828433753}, { + 0.5, -0.995855494250838}, { + 0.666666666666667, -0.439836463049424}, {0.833333333333333, + 0.452629880210704}, {1., 1.02560599029718}}]}, "Charting`Private`Tag#1"]}}, <| "HighlightElements" -> <| "Label" -> 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