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84 lines
3.7 KiB
C++
84 lines
3.7 KiB
C++
// (C) Copyright Evan Miller 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/jacobi_theta.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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CoarseReal q = 0.5;
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auto jacobi_theta1_coarse = [=](CoarseReal z) {
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return boost::math::jacobi_theta1<CoarseReal>(z, q);
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};
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auto jacobi_theta1_precise = [=](PreciseReal z) {
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return boost::math::jacobi_theta1<PreciseReal>(z, q);
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};
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auto jacobi_theta2_coarse = [=](CoarseReal z) {
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return boost::math::jacobi_theta2<CoarseReal>(z, q);
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};
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auto jacobi_theta2_precise = [=](PreciseReal z) {
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return boost::math::jacobi_theta2<PreciseReal>(z, q);
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};
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auto jacobi_theta3_coarse = [=](CoarseReal z) {
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return boost::math::jacobi_theta3m1<CoarseReal>(z, q);
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};
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auto jacobi_theta3_precise = [=](PreciseReal z) {
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return boost::math::jacobi_theta3m1<PreciseReal>(z, q);
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};
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auto jacobi_theta4_coarse = [=](CoarseReal z) {
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return boost::math::jacobi_theta4m1<CoarseReal>(z, q);
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};
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auto jacobi_theta4_precise = [=](PreciseReal z) {
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return boost::math::jacobi_theta4m1<PreciseReal>(z, q);
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};
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int samples = 2500;
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int width = 800;
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PreciseReal clip = 100;
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std::string filename1 = "jacobi_theta1_" + boost::core::demangle(typeid(CoarseReal).name()) + ".svg";
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auto plot1 = ulps_plot<decltype(jacobi_theta1_precise), PreciseReal, CoarseReal>(jacobi_theta1_precise, 0.0, boost::math::constants::two_pi<CoarseReal>(), samples);
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plot1.clip(clip).width(width);
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std::string title1 = "jacobi_theta1(x, 0.5) ULP plot at " + boost::core::demangle(typeid(CoarseReal).name()) + " precision";
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plot1.title(title1);
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plot1.vertical_lines(10);
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plot1.add_fn(jacobi_theta1_coarse);
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plot1.write(filename1);
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std::string filename2 = "jacobi_theta2_" + boost::core::demangle(typeid(CoarseReal).name()) + ".svg";
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auto plot2 = ulps_plot<decltype(jacobi_theta2_precise), PreciseReal, CoarseReal>(jacobi_theta2_precise, 0.0, boost::math::constants::two_pi<CoarseReal>(), samples);
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plot2.clip(clip).width(width);
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std::string title2 = "jacobi_theta2(x, 0.5) ULP plot at " + boost::core::demangle(typeid(CoarseReal).name()) + " precision";
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plot2.title(title2);
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plot2.vertical_lines(10);
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plot2.add_fn(jacobi_theta2_coarse);
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plot2.write(filename2);
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std::string filename3 = "jacobi_theta3_" + boost::core::demangle(typeid(CoarseReal).name()) + ".svg";
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auto plot3 = ulps_plot<decltype(jacobi_theta3_precise), PreciseReal, CoarseReal>(jacobi_theta3_precise, 0.0, boost::math::constants::two_pi<CoarseReal>(), samples);
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plot3.clip(clip).width(width);
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std::string title3 = "jacobi_theta3m1(x, 0.5) ULP plot at " + boost::core::demangle(typeid(CoarseReal).name()) + " precision";
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plot3.title(title3);
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plot3.vertical_lines(10);
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plot3.add_fn(jacobi_theta3_coarse);
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plot3.write(filename3);
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std::string filename4 = "jacobi_theta4_" + boost::core::demangle(typeid(CoarseReal).name()) + ".svg";
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auto plot4 = ulps_plot<decltype(jacobi_theta4_precise), PreciseReal, CoarseReal>(jacobi_theta4_precise, 0.0, boost::math::constants::two_pi<CoarseReal>(), samples);
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plot4.clip(clip).width(width);
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std::string title4 = "jacobi_theta4m1(x, 0.5) ULP plot at " + boost::core::demangle(typeid(CoarseReal).name()) + " precision";
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plot4.title(title4);
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plot4.vertical_lines(10);
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plot4.add_fn(jacobi_theta4_coarse);
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plot4.write(filename4);
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}
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