From 5da27935f2c36bf650ec5727b263438babf0780b Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Thu, 10 Mar 2022 19:33:51 +0000 Subject: [PATCH] Added further color table example. --- doc/images/extended_kindlmann_1F1.png | Bin 0 -> 305902 bytes doc/internals/color_maps.qbk | 7 +- example/color_maps_sf_example.cpp | 606 ++++++++++++++++++++++++++ 3 files changed, 612 insertions(+), 1 deletion(-) create mode 100644 doc/images/extended_kindlmann_1F1.png create mode 100644 example/color_maps_sf_example.cpp diff --git a/doc/images/extended_kindlmann_1F1.png b/doc/images/extended_kindlmann_1F1.png new file mode 100644 index 0000000000000000000000000000000000000000..5780e2a8c4ad3c3f26bf664e1c1e060dafa5d4cc GIT binary patch literal 305902 zcmeAS@N?(olHy`uVBq!ia0y~yV4c9gz;c3vje&uosrf-M1B1M5RY*ihP-3}4K~a8M zW=^U?No7H*LTW{38UsVct);WWi*j}rx&Alg;$^(Y!*1qeeBr}Zvw$aC*DFWudZX5z zdX90z%-bpsoBu!G-~Utp-_)2@ohz^0Dcbg@Ti5JNB2+T5}arm@BIDrCg(7TuNI 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Hence, we make a call to `std::clamp` before interpolating into the color table. -For an example of how to use these facilites please refer to `example/color_maps_example.cpp` +For an example of how to use these facilites please refer to [@../../example/color_maps_example.cpp `example/color_maps_example.cpp`] +and [@../../example/color_maps_sf_example.cpp `example/color_maps_sf_example.cpp`] Note: To compile the examples directly you will need to have [@https://github.com/lvandeve/lodepng lodepng]. An example of the viridis color map using [@https://en.wikipedia.org/wiki/Newton_fractal the newton fractal] is shown below: [$../images/viridis_newton_fractal.png] +An example from [@../../example/color_maps_example.cpp `example/color_maps_example.cpp`] plots [sub 1]F[sub 1] on a logarithmic scale: + +[$../images/extended_kindlmann_1F1.png] + Swatches of each are listed below: [$../images/smooth_cool_warm_swatch.png] diff --git a/example/color_maps_sf_example.cpp b/example/color_maps_sf_example.cpp new file mode 100644 index 000000000..f688bd343 --- /dev/null +++ b/example/color_maps_sf_example.cpp @@ -0,0 +1,606 @@ +// (C) Copyright John Maddock 2022. +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file +// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) + +// +// This program plots various special functions as color maps, +// run with the "help" option to see the various command line options. +// + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#if !__has_include("lodepng.h") + #error "lodepng.h is required to run this example." +#endif +#include "lodepng.h" +#include +#include +#include +#include + +// In lodepng, the vector is expected to be row major, with the top row +// specified first. Note that this is a bit confusing sometimes as it's more +// natural to let y increase moving *up*. +unsigned write_png(const std::string& filename, + const std::vector& img, std::size_t width, + std::size_t height) { + unsigned error = lodepng::encode(filename, img, width, height, + LodePNGColorType::LCT_RGBA, 8); + if (error) { + std::cerr << "Error encoding png: " << lodepng_error_text(error) << "\n"; + } + return error; +} + +double hypergeometric_1F1_at_half(double x, double y) +{ + try + { + return boost::math::hypergeometric_1F1(x, y, -3.5); + } + catch (const std::domain_error&) + { + return 0; + } +} + +void show_help() +{ + std::cout << + "The following command line options are supported:\n" + " gamma_p|gamma_q|gamma_p_inv|gamma_q_inv|cyl_bessel_j|cyl_neumann|cyl_bessel_i|cyl_bessel_k\n" + " |cyl_bessel_d|ellint_1|ellint_2|ellint_3|jacobi_zeta|heuman_lambda|jacobi_theta1|1F1\n" + " Sets the function to be plotted.\n" + " Note that the defaults for the options below change depending on the function selected here,\n" + " so set this option first, and then fine tune with the following options:\n" + " smooth_cool_warm|plasma|black_body|inferno|kindlmann|extended_kindlmann\n" + " Sets the color map used.\n" + " width=XX\n" + " height=XX\n" + " Sets the width and height of the bitmap.\n" + " x_min=XX\n" + " x_max=XX\n" + " y_min=XX\n" + " y_max=XX\n" + " Sets the extent of the x and y variables passed to the function.\n" + " log=false|true|0|1\n" + " Turns logarithmic scale on or off (default off)\n"; +} + +int main(int argc, char** argv) +{ + using Real = double; + using boost::math::tools::viridis; + using std::sqrt; + + std::function(Real)> color_map = viridis; + std::string requested_color_map = "viridis"; + std::string function_name = "gamma_p"; + int64_t image_width = 1024; + int64_t image_height = 1024; + + double x_min{ 0.001 }, x_max{ 20 }; + double y_min{ 0.001 }, y_max{ 20 }; + + Real(*the_function)(Real, Real) = boost::math::gamma_p; + bool log_scale = false; + bool debug = false; + + for(unsigned i = 1; i < argc; ++i) + { + std::string arg = std::string(argv[i]); + if (arg == "smooth_cool_warm") { + requested_color_map = arg; + color_map = boost::math::tools::smooth_cool_warm; + } + else if (arg == "plasma") { + requested_color_map = arg; + color_map = boost::math::tools::plasma; + } + else if (arg == "black_body") { + requested_color_map = arg; + color_map = boost::math::tools::black_body; + } + else if (arg == "inferno") { + requested_color_map = arg; + color_map = boost::math::tools::inferno; + } + else if (arg == "kindlmann") { + requested_color_map = arg; + color_map = boost::math::tools::kindlmann; + } + else if (arg == "extended_kindlmann") { + requested_color_map = arg; + color_map = boost::math::tools::extended_kindlmann; + } + else if (arg.compare(0, 6, "width=") == 0) + { + image_width = std::strtol(arg.c_str() + 6, nullptr, 10); + } + else if (arg.compare(0, 7, "height=") == 0) + { + image_height = std::strtol(arg.c_str() + 7, nullptr, 10); + } + else if (arg.compare(0, 6, "x_min=") == 0) + { + x_min = std::strtod(arg.c_str() + 6, nullptr); + } + else if (arg.compare(0, 6, "x_max=") == 0) + { + x_max = std::strtod(arg.c_str() + 6, nullptr); + } + else if (arg.compare(0, 6, "y_min=") == 0) + { + y_min = std::strtod(arg.c_str() + 6, nullptr); + } + else if (arg.compare(0, 6, "y_max=") == 0) + { + y_max = std::strtod(arg.c_str() + 6, nullptr); + } + else if (arg == "log=1") + { + log_scale = true; + } + else if (arg == "log=0") + { + log_scale = false; + } + else if (arg == "log=true") + { + log_scale = true; + } + else if (arg == "log=false") + { + log_scale = false; + } + else if (arg == "debug") + { + debug = true; + } + else if (arg == "gamma_p") + { + the_function = boost::math::gamma_p; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default gamma_p color map to extended_kindlmann" << std::endl; + requested_color_map = "extended_kindlmann"; + color_map = boost::math::tools::extended_kindlmann; + } + } + else if (arg == "gamma_q") + { + the_function = boost::math::gamma_q; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default gamma_p color map to extended_kindlmann" << std::endl; + requested_color_map = "extended_kindlmann"; + color_map = boost::math::tools::extended_kindlmann; + } + } + else if (arg == "gamma_p_inv") + { + the_function = boost::math::gamma_p_inv; + function_name = arg; + if (y_max > 1) + { + std::cout << "Setting y range to [0.01, 0.99] for gamma_p_inv" << std::endl; + y_min = 0.01; + y_max = 0.99; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default gamma_p_inv color map to inferno" << std::endl; + requested_color_map = "inferno"; + color_map = boost::math::tools::inferno; + } + } + else if (arg == "gamma_q_inv") + { + the_function = boost::math::gamma_q_inv; + function_name = arg; + if (y_max > 1) + { + std::cout << "Setting y range to [0.01, 0.99] for gamma_p_inv" << std::endl; + y_min = 0.01; + y_max = 0.99; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default gamma_p_inv color map to inferno" << std::endl; + requested_color_map = "inferno"; + color_map = boost::math::tools::inferno; + } + } + else if (arg == "beta") + { + the_function = boost::math::beta; + function_name = arg; + if (log_scale == false) + { + std::cout << "Setting log scale to true for beta" << std::endl; + log_scale = true; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default beta color map to smooth_cool_warm" << std::endl; + requested_color_map = "smooth_cool_warm"; + color_map = boost::math::tools::smooth_cool_warm; + } + } + else if (arg == "cyl_bessel_j") + { + the_function = boost::math::cyl_bessel_j; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default beta color map to smooth_cool_warm" << std::endl; + requested_color_map = "smooth_cool_warm"; + color_map = boost::math::tools::smooth_cool_warm; + } + } + else if (arg == "cyl_neumann") + { + the_function = boost::math::cyl_neumann; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default cyl_neumann color map to black_body" << std::endl; + requested_color_map = "black_body"; + color_map = boost::math::tools::black_body; + } + if (x_max > 1.5) + { + std::cout << "Setting cyl_neumann default x range to [0.5,1.5]" << std::endl; + x_min = 0.5; + x_max = 1.5; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for cyl_neumann" << std::endl; + log_scale = true; + } + } + else if (arg == "cyl_bessel_i") + { + the_function = boost::math::cyl_bessel_i; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default cyl_bessel_i color map to black_body" << std::endl; + requested_color_map = "black_body"; + color_map = boost::math::tools::black_body; + } + if (x_max > 1.5) + { + std::cout << "Setting cyl_bessel_i default x range to [0.5,1.5]" << std::endl; + x_min = 0.5; + x_max = 1.5; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for cyl_bessel_i" << std::endl; + log_scale = true; + } + } + else if (arg == "cyl_bessel_k") + { + the_function = boost::math::cyl_bessel_k; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default cyl_bessel_k color map to plasma" << std::endl; + requested_color_map = "plasma"; + color_map = boost::math::tools::plasma; + } + if (x_max > 1.5) + { + std::cout << "Setting cyl_bessel_k default x range to [0,5]" << std::endl; + x_min = 0.01; + x_max = 5; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for cyl_bessel_k" << std::endl; + log_scale = true; + } + } + else if (arg == "cyl_bessel_d") + { + the_function = boost::math::cyl_bessel_k; + function_name = arg; + if (log_scale == false) + { + std::cout << "Turning on log scale for cyl_bessel_d" << std::endl; + log_scale = true; + } + } + else if (arg == "ellint_1") + { + the_function = boost::math::ellint_1; + function_name = arg; + // x_max=1 y_max=1.5 kindlmann log=true + if (x_max >= 20) + { + std::cout << "Setting ellint_1 x range to [0, 1]" << std::endl; + x_max = 1; + } + if (y_max >= 20) + { + std::cout << "Setting ellint_1 y range to [0, 1.5]" << std::endl; + x_max = 1.5; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for ellint_1" << std::endl; + log_scale = true; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default ellint_1 color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "ellint_2") + { + the_function = boost::math::ellint_2; + function_name = arg; + // x_max=1 y_max=1.5 kindlmann log=true + if (x_max >= 20) + { + std::cout << "Setting ellint_2 x range to [-1, 1]" << std::endl; + x_max = 1; + x_min = -1; + } + if (y_max >= 20) + { + std::cout << "Setting ellint_2 y range to [0, 1.5]" << std::endl; + y_max = 1.5; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for ellint_2" << std::endl; + log_scale = true; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default ellint_1 color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "ellint_3") + { + the_function = boost::math::ellint_3; + function_name = arg; + // x_max=1 y_max=1.5 kindlmann log=true + if (x_max >= 20) + { + std::cout << "Setting ellint_3 x range to [-0.99, 0.99]" << std::endl; + x_max = 0.99; + x_min = -0.99; + } + if (y_max >= 20) + { + std::cout << "Setting ellint_3 y range to [0, 1]" << std::endl; + y_max = 1; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for ellint_3" << std::endl; + log_scale = true; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default ellint_3 color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "jacobi_zeta") + { + the_function = boost::math::jacobi_zeta; + function_name = arg; + // x_max=1 y_max=1.5 kindlmann log=true + if (x_max >= 20) + { + std::cout << "Setting jacobi_zeta x range to [-0.99, 0.99]" << std::endl; + x_max = 0.99; + x_min = -0.99; + } + if (y_max >= 20) + { + std::cout << "Setting jacobi_zeta y range to [0, 1]" << std::endl; + y_max = 0.99; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default jacobi_zeta color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "heuman_lambda") + { + the_function = boost::math::heuman_lambda; + function_name = arg; + // x_max=1 y_max=1.5 kindlmann log=true + if (x_max >= 20) + { + std::cout << "Setting heuman_lambda x range to [-0.99, 0.99]" << std::endl; + x_max = 0.99; + x_min = -0.99; + } + if (y_max >= 20) + { + std::cout << "Setting heuman_lambda y range to [0, 1]" << std::endl; + y_max = 0.99; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default heuman_lambda color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "jacobi_theta1") + { + the_function = boost::math::jacobi_theta1; + function_name = arg; + if (y_max >= 20) + { + std::cout << "Setting jacobi_theta1 y range to [0, 1]" << std::endl; + y_max = 0.99; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default jacobi_theta1 color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "1F1") + { + the_function = hypergeometric_1F1_at_half; + function_name = arg; + if (x_min >= 0) + { + std::cout << "Setting 1F1 x range to [-20,20]" << std::endl; + x_min = -20; + x_max = 20; + } + if (y_min >= 0) + { + std::cout << "Setting 1F1 y range to [-20,20]" << std::endl; + y_min = -20; + y_max = 20; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default 1F1 color map to extended_kindlmann" << std::endl; + requested_color_map = "extended_kindlmann"; + color_map = boost::math::tools::extended_kindlmann; + } + if (!log_scale) + { + std::cout << "Turning on logarithmic scale for 1F1" << std::endl; + log_scale = true; + } + } + else if (arg == "help") + { + show_help(); + return 0; + } + else + { + std::cerr << "Could not recognize argument " << argv[i] << ".\n\n"; + show_help(); + return 1; + } + } + + std::vector img(4*image_width*image_height, 0); + std::vector points(image_width*image_height, 0); + + Real min_value{ std::numeric_limits::infinity() }, max_value{ -std::numeric_limits::infinity() }; + // + // Get a matrix of points: + // + for (int64_t i = 0; i < image_width; ++i) + { + for (int64_t j = 0; j < image_height; ++j) + { + double x = x_max - (image_width - i) * (x_max - x_min) / image_width; + double y = y_max - (image_height - j) * (y_max - y_min) / image_height; + + Real p = the_function(x, y); + if (std::isnan(p)) + std::cerr << "Ooops, got a NaN" << std::endl; + if (p < min_value) + min_value = p; + if (p > max_value) + max_value = p; + points[i + image_width * (image_height - j - 1)] = p; + } + } + std::cout << "Function range is: [" << std::setprecision(3) << min_value << "," << max_value << "]\n"; + // + // Handle log scale, the formula differs depending on whether we have found negative values or not: + // + if (log_scale) + { + Real new_max = -std::numeric_limits::infinity(); + Real new_min = std::numeric_limits::infinity(); + for (int64_t i = 0; i < points.size(); ++i) + { + Real p = points[i]; + if (min_value <= 0) + p = boost::math::sign(p) * log10(1 + std::fabs(p * boost::math::constants::ln_ten())); + else + p = log(p); + if (std::isnan(p)) + std::cerr << "Ooops, got a NaN" << std::endl; + if (p < new_min) + new_min = p; + if (p > new_max) + new_max = p; + points[i] = p; + } + max_value = new_max; + min_value = new_min; + std::cout << "Function range is: [" << std::setprecision(3) << min_value << "," << max_value << "]\n"; + } + + // + // Normalize the points so they are all in [0,1] + // + for (int64_t i = 0; i < points.size(); ++i) + { + double p = points[i]; + p -= min_value; + p /= (max_value - min_value); + points[i] = p; + } + // + // debugging, adds an alternating 0 and 1 row on the second half of the zeroth row: + // + if (debug) + { + for (int64_t i = image_width / 2; i < image_width; ++i) + points[image_width * (image_height - 1) + i] = i & 1 ? 1 : 0; + } + + // + // Now calculate the RGB bitmap from the points: + // + for (int64_t i = 0; i < image_width; ++i) + { + for (int64_t j = 0; j < image_height; ++j) + { + double p = points[i + image_width * j]; + auto c = boost::math::tools::to_8bit_rgba(color_map(p)); + int64_t idx = 4 * (image_width * j + i); + img[idx + 0] = c[0]; + img[idx + 1] = c[1]; + img[idx + 2] = c[2]; + img[idx + 3] = c[3]; + } + } + + // Requires lodepng.h + // See: https://github.com/lvandeve/lodepng for download and compilation instructions + write_png(requested_color_map + "_" + function_name + ".png", img, image_width, image_height); +}