61 lines
2.6 KiB
C++
61 lines
2.6 KiB
C++
// (C) Copyright Nick Thompson 2020.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#include <iostream>
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#include <boost/math/tools/ulps_plot.hpp>
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#include <boost/core/demangle.hpp>
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#include <boost/math/special_functions/airy.hpp>
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using boost::math::tools::ulps_plot;
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int main() {
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using PreciseReal = long double;
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using CoarseReal = float;
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typedef boost::math::policies::policy<
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boost::math::policies::promote_float<false>,
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boost::math::policies::promote_double<false> >
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no_promote_policy;
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auto ai_coarse = [](CoarseReal x) {
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return boost::math::airy_ai<CoarseReal>(x, no_promote_policy());
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};
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auto ai_precise = [](PreciseReal x) {
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return boost::math::airy_ai<PreciseReal>(x, no_promote_policy());
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};
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std::string filename = "airy_ai_" + boost::core::demangle(typeid(CoarseReal).name()) + ".svg";
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int samples = 10000;
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// How many pixels wide do you want your .svg?
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int width = 700;
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// Near a root, we have unbounded relative error. So for functions with roots, we define an ULP clip:
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PreciseReal clip = 2.5;
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// Should we perturb the abscissas? i.e., should we compute the high precision function f at x,
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// and the low precision function at the nearest representable x̂ to x?
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// Or should we compute both the high precision and low precision function at a low precision representable x̂?
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bool perturb_abscissas = false;
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auto plot = ulps_plot<decltype(ai_precise), PreciseReal, CoarseReal>(ai_precise, CoarseReal(-3), CoarseReal(3), samples, perturb_abscissas);
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// Note the argument chaining:
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plot.clip(clip).width(width);
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// Sometimes it's useful to set a title, but in many cases it's more useful to just use a caption.
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//std::string title = "Airy Ai ULP plot at " + boost::core::demangle(typeid(CoarseReal).name()) + " precision";
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//plot.title(title);
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plot.vertical_lines(6);
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plot.add_fn(ai_coarse);
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// You can write the plot to a stream:
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//std::cout << plot;
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// Or to a file:
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plot.write(filename);
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// Don't like the default dark theme?
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plot.background_color("white").font_color("black");
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filename = "airy_ai_" + boost::core::demangle(typeid(CoarseReal).name()) + "_white.svg";
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plot.write(filename);
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// Don't like the envelope?
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plot.ulp_envelope(false);
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filename = "airy_ai_" + boost::core::demangle(typeid(CoarseReal).name()) + "_white_no_envelope.svg";
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plot.write(filename);
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}
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