Cleans up project a bit. Fixes some warnings. Refactors a bit.
This commit is contained in:
parent
ffcfab9c6f
commit
d70ba70038
18 changed files with 408 additions and 301 deletions
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@ -32,8 +32,9 @@
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#include <algorithm>
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namespace pixel_formats {
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inline uint8_t clamp(int n){
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return std::min(255, std::max(0, n));
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template <typename T>
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uint8_t clamp(T n){
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return uint8_t(std::min<T>(255, std::max<T>(0, n)));
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}
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struct gray {
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@ -53,27 +54,25 @@ namespace pixel_formats {
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static const size_t bits_per_color = 8;
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rgb()
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: red(0)
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, green(0)
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, blue(0)
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: r(0)
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, g(0)
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, b(0)
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{}
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rgb(double red, double green, double blue)
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: red(clamp(255*red))
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, green(clamp(255*green))
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, blue(clamp(255*blue))
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: r(clamp(255*red))
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, g(clamp(255*green))
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, b(clamp(255*blue))
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{}
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rgb(int red, int green, int blue)
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: red(clamp(red))
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, green(clamp(green))
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, blue(clamp(blue))
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: r(clamp(red))
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, g(clamp(green))
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, b(clamp(blue))
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{}
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private:
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uint8_t red;
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uint8_t green;
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uint8_t blue;
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uint8_t r, g, b;
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};
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struct bgr{
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@ -81,27 +80,25 @@ namespace pixel_formats {
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static const size_t bits_per_color = 8;
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bgr()
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: blue(0)
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, green(0)
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, red(0)
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: b(0)
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, g(0)
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, r(0)
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{}
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bgr(double red, double green, double blue)
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: blue(clamp(255*blue))
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, green(clamp(255*green))
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, red(clamp(255*red))
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: b(clamp(255*blue))
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, g(clamp(255*green))
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, r(clamp(255*red))
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{}
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bgr(int red, int green, int blue)
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: blue(clamp(blue))
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, green(clamp(green))
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, red(clamp(red))
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: b(clamp(blue))
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, g(clamp(green))
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, r(clamp(red))
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{}
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private:
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uint8_t blue;
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uint8_t green;
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uint8_t red;
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uint8_t b, g, r;
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};
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template <typename PixelType>
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@ -140,7 +140,7 @@ namespace png{
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if(bit_depth < 8) throw std::runtime_error("Bitdepths lower than 8 are not supported (yet)");
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row.resize(row_size);
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png_read_row(png_ptr, (png_bytep)row.data(), 0);
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png_read_row(png_ptr, png_bytep(row.data()), 0);
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}
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~istream(){
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@ -161,7 +161,7 @@ namespace png{
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x = 0;
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++y;
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if(y < height)
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png_read_row(png_ptr, (png_bytep)row.data(), 0);
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png_read_row(png_ptr, png_bytep(row.data()), 0);
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}
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return *this;
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@ -15,22 +15,25 @@ bool is_even(Int n){
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// calculates integer 2-log such that:
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// 2^(two_log(x)) >= x > 2^(two_log(x) - 1)
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unsigned int two_log(unsigned int x){
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inline unsigned int two_log(unsigned int x){
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if(x <= 1) return 0;
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return 8*sizeof(unsigned int) - __builtin_clz(x-1);
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return 8*sizeof(unsigned int) - unsigned(__builtin_clz(x-1));
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}
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// Makes numbers human-readable
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// eg 2300000 becomes 2M
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inline std::string human_string(int n){
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// Makes numbers human-readable with one decimal
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// eg 2350000 becomes 2.3M
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template <typename Int>
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inline std::string human_string(Int n, std::string suffix = ""){
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static const std::string names [] = {"", "K", "M", "G"};
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int i = 0;
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unsigned int i = 0;
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Int m = 10*n;
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while(n > 1000 && i < sizeof(names)){
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n /= 1000;
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m /= 1000;
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++i;
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}
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// cast is to make the old gcc 4.4 happy (it doesn't have all overloads of to_string)
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return std::to_string((long long)n) + names[i];
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return std::to_string(n) + "." + std::to_string(m % 10) + names[i] + suffix;
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}
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inline std::string field(std::string const & str){
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@ -43,7 +46,7 @@ inline std::string field(std::string const & str){
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// Prints a vector with brackets and commas
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// Does not work recursively!
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template <typename T>
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void print_vec(std::vector<T> v){
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void print_vec(std::vector<T> const & v){
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auto it = v.begin(), end = v.end();
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std::cout << "{" << *it++;
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while(it != end) std::cout << ", " << *it++;
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@ -59,8 +62,8 @@ struct timer{
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std::string name;
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time begin;
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timer(std::string name)
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: name(name)
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timer(std::string name_)
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: name(name_)
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, begin(clock::now())
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{}
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@ -75,10 +78,10 @@ struct timer{
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};
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namespace colors {
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std::string red(std::string s){
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inline std::string red(std::string s){
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return "\x1b[31m" + s + "\x1b[39m";
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}
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std::string green(std::string s){
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inline std::string green(std::string s){
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return "\x1b[32m" + s + "\x1b[39m";
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}
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}
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2
wavelet/defines.hpp
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2
wavelet/defines.hpp
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@ -0,0 +1,2 @@
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#define NEXP 20
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134
wavelet/jcmp.cpp
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134
wavelet/jcmp.cpp
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#include <includes.hpp>
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#include <utilities.hpp>
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#include <boost/filesystem.hpp>
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#include <png.hpp>
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#include "jcmp.hpp"
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#include "wavelet.hpp"
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using namespace wvlt::V2;
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// Can be any functions from R+ -> R
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// as long as backward is its inverse
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static double forward(double x){
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//return std::log(1 + std::log(1 + x));
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return std::log(x);
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}
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static double backward(double x){
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//return std::exp(std::exp(x) - 1) - 1;
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return std::exp(x);
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}
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// note: we take a copy, because we will modify it in place
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static jcmp::image compress(std::vector<double> image, jcmp::uint width, double threshold, unsigned int& nzeros){
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jcmp::uint height = image.size() / width;
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assert(is_pow_of_two(width));
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assert(is_pow_of_two(height));
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// wavelet transform in x-direction
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for(unsigned int i = 0; i < height; ++i){
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wavelet(&image[i*width], width, 1);
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}
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// wavelet transform in y-direction
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for(unsigned int i = 0; i < width; ++i){
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wavelet(&image[i], height, width);
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}
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double min_abs = 10000.0;
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double max_abs = 0.0;
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for(auto& el : image){
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auto absel = std::abs(el);
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if(absel > threshold) {
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min_abs = std::min(min_abs, absel);
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max_abs = std::max(max_abs, absel);
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} else {
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el = 0;
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}
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}
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jcmp::quantization q(&forward, &backward, max_abs, min_abs);
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// save the principal coefficients
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std::vector<jcmp::coefficient> v;
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for(unsigned int y = 0; y < height; ++y){
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for(unsigned int x = 0; x < width; ++x){
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auto&& el = image[x + width*y];
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if(el != 0) v.push_back({q.forwards(el), jcmp::uint(x), jcmp::uint(y)});
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}
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}
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nzeros = v.size();
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return jcmp::image(width, height, q.p, std::move(v));
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}
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static std::vector<double> decompress(jcmp::image in){
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auto width = in.header.width;
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auto height = in.header.height;
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assert(is_pow_of_two(width));
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assert(is_pow_of_two(height));
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auto q = in.header.get_quantization(&forward, &backward);
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std::vector<double> image(width * height, 0.0);
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// read in coefficient on coordinates
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for(auto it = in.data.begin(); it != in.data.end(); ++it){
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auto&& x = *it;
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image[x.x + width*x.y] = q.backwards(x.c);
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}
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in.clear();
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// inverse wavelet transform in y-direction
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for(unsigned int i = 0; i < width; ++i){
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unwavelet(&image[i], height, width);
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}
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// inverse wavelet transform in x-direction
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for(unsigned int i = 0; i < height; ++i){
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unwavelet(&image[i*width], width, 1);
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}
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return image;
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}
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int main(){
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namespace fs = boost::filesystem;
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fs::path directory("images");
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fs::directory_iterator eod;
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for(fs::directory_iterator it(directory); it != eod; ++it){
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auto && path = it->path();
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if(path.extension() != ".png") continue;
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// open file
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std::string filename = path.string();
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std::cout << field("file") << filename << std::endl;
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png::istream image(filename);
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auto width = image.get_width();
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auto height = image.get_height();
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// read into vector
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std::vector<double> image_vec;
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image_vec.reserve(width * height);
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for(unsigned char c = 0; image >> c;) image_vec.push_back(c/255.0);
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// compress and decompress to see how we lost information
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unsigned int nzeros = 0;
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auto compressed_vec = decompress(compress(image_vec, width, 0.1, nzeros));
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// output some information
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std::cout << field("raw") << human_string(sizeof(uint8_t) * image_vec.size(), "b") << std::endl;
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std::cout << field("compressed") << human_string(sizeof(jcmp::coefficient) * nzeros, "b") << std::endl;
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// save to output file
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std::string cfilename = "compressed/" + path.filename().string();
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png::gray_ostream compressed_image(width, height, cfilename);
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for(unsigned int i = 0; i < compressed_vec.size(); ++i) compressed_image << compressed_vec[i];
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}
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}
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3
wavelet/jcmp.hpp
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3
wavelet/jcmp.hpp
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#pragma once
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#include "jcmp_image.hpp"
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@ -2,26 +2,40 @@
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#include <includes.hpp>
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#include "jcmp_quantization.hpp"
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// joshua's compression :D
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namespace jcmp {
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typedef uint32_t uint;
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struct __attribute__ ((__packed__)) header {
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const char signature[4];
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struct header {
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char signature[4];
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uint width;
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uint height;
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uint length;
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quantize_params qp;
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header(uint width = 0, uint height = 0, uint length = 0)
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header() = default;
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header(uint width_, uint height_, uint length_, quantize_params const & p)
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: signature{'J', 'C', 'M', 'P'}
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, width(width)
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, height(height)
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, length(length)
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, width(width_)
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, height(height_)
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, length(length_)
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, qp(p)
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{}
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template <typename F>
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quantization get_quantization(F const & f, F const & f_inv){
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quantization q;
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q.p = qp;
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q.f = f;
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q.f_inv = f_inv;
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return q;
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}
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};
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struct __attribute__ ((__packed__)) coefficient {
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double c;
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uint8_t c;
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uint x;
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uint y;
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};
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image() = default;
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image(uint width, uint height, std::vector<coefficient> const & data_in)
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: header(width, height, data_in.size())
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image(uint width, uint height, quantize_params const & p, std::vector<coefficient> const & data_in)
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: header(width, height, data_in.size(), p)
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, data(data_in)
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{}
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void clear(){
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header.length = header.height = header.width = 0;
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header.qp.f_max_abs = header.qp.f_min_abs = 0;
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data.clear();
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}
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};
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file.sgetn(reinterpret_cast<char*>(image.data.data()), image.data.size() * sizeof(coefficient));
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return image;
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}
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static_assert(sizeof(header) == 32, "struct not propery packed");
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static_assert(sizeof(coefficient) == 9, "struct not propery packed");
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}
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@ -1,9 +1,10 @@
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#include <includes.hpp>
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#include <utilities.hpp>
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#include "compressed_image.hpp"
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#include "jcmp_image.hpp"
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namespace jcmp{
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bool operator==(coefficient const & lhs, coefficient const & rhs){
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inline bool operator==(coefficient const & lhs, coefficient const & rhs){
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return lhs.c == rhs.c && lhs.x == rhs.x && lhs.y == rhs.y;
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}
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}
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++y;
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}
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// only for testing purpose :D
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return {rand() / double(RAND_MAX), x, y};
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return {uint8_t(rand()), x, y};
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}
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};
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void test_correctness(){
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static void test_correctness(){
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const int w = 1024, h = 512;
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std::vector<jcmp::coefficient> v(w*h / 100);
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std::generate(v.begin(), v.end(), gen{w, 0, 0});
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{ // iterator method
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jcmp::write_to_file({w, h}, v.begin(), v.end(), "test.jcmp");
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jcmp::write_to_file({w, h, 0, {0.0, 0.0}}, v.begin(), v.end(), "test.jcmp");
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auto j = jcmp::read_from_file("test.jcmp");
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assert(w == j.header.width);
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@ -37,7 +38,7 @@ void test_correctness(){
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}
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{ // copy method
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jcmp::image i(w, h, std::move(v));
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jcmp::image i(w, h, {0.0, 0.0}, std::move(v));
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jcmp::write_to_file(i, "test.jcmp");
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auto j = jcmp::read_from_file("test.jcmp");
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}
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}
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void test_speed(){
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static void test_speed(){
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const int w = 4000, h = 8000;
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std::vector<jcmp::coefficient> input(w*h / 20);
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std::generate(input.begin(), input.end(), gen{w, 0, 0});
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for(int i = 0; i < 10; ++i){
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{ timer t("stream");
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jcmp::write_to_file({w, h}, input.begin(), input.end(), "stream.jcmp");
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jcmp::write_to_file({w, h, 0, {0.0, 0.0}}, input.begin(), input.end(), "stream.jcmp");
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}
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std::vector<jcmp::coefficient> copy(w*h / 20);
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std::copy(input.begin(), input.end(), copy.begin());
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{ timer t("move");
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jcmp::image i(w, h, std::move(copy));
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jcmp::write_to_file(i, "move.jcmp");
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jcmp::image j(w, h, {0.0, 0.0}, std::move(copy));
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jcmp::write_to_file(j, "move.jcmp");
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}
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{ timer t("copy");
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jcmp::image i(w, h, input);
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jcmp::write_to_file(i, "copy.jcmp");
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jcmp::image j(w, h, {0.0, 0.0}, input);
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jcmp::write_to_file(j, "copy.jcmp");
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}
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}
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}
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49
wavelet/jcmp_quantization.hpp
Normal file
49
wavelet/jcmp_quantization.hpp
Normal file
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#pragma once
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namespace jcmp {
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// input in [0, 1], output [0, 255]
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inline uint8_t clamp_round(double x){
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if(x <= 0.0) return 0;
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if(x >= 1.0) return 255;
|
||||
return uint8_t(std::round(255.0*x));
|
||||
}
|
||||
|
||||
// parameters which need to be stored in the file
|
||||
// to be able to dequantize
|
||||
struct quantize_params {
|
||||
double f_max_abs;
|
||||
double f_min_abs;
|
||||
};
|
||||
|
||||
// Quantization may be non linear (given by f and f_inv)
|
||||
struct quantization {
|
||||
std::function<double(double)> f;
|
||||
std::function<double(double)> f_inv;
|
||||
quantize_params p;
|
||||
|
||||
quantization() = default;
|
||||
|
||||
template <typename F>
|
||||
quantization(F const & f_, F const & f_inv_, double max_abs, double min_abs)
|
||||
: f(f_)
|
||||
, f_inv(f_inv_)
|
||||
, p{f(max_abs), f(min_abs)}
|
||||
{}
|
||||
|
||||
uint8_t forwards(double x){
|
||||
double y = std::abs(x);
|
||||
y = (f(y) - p.f_min_abs) / (p.f_max_abs - p.f_min_abs);
|
||||
if(x < 0) y = -y;
|
||||
return clamp_round(0.5 * (y + 1.0));
|
||||
}
|
||||
|
||||
double backwards(uint8_t x){
|
||||
double y = 2.0 * x / 255.0 - 1.0;
|
||||
y = (p.f_max_abs - p.f_min_abs) * y;
|
||||
if(y < 0) return -f_inv(-y + p.f_min_abs);
|
||||
return f_inv(y + p.f_min_abs);
|
||||
}
|
||||
};
|
||||
|
||||
static_assert(sizeof(quantize_params) == 16, "struct not propery packed");
|
||||
}
|
8
wavelet/jcmp_quantization_test.cpp
Normal file
8
wavelet/jcmp_quantization_test.cpp
Normal file
|
@ -0,0 +1,8 @@
|
|||
#include <includes.hpp>
|
||||
#include <utilities.hpp>
|
||||
|
||||
#include "jcmp_quantization.hpp"
|
||||
|
||||
int main(){
|
||||
// no tests yet
|
||||
}
|
|
@ -1,7 +1,5 @@
|
|||
#include <iostream>
|
||||
#include <algorithm>
|
||||
#include <iterator>
|
||||
#include <vector>
|
||||
#include <includes.hpp>
|
||||
#include <utilities.hpp>
|
||||
|
||||
#include <boost/assign.hpp>
|
||||
|
||||
|
|
|
@ -1,5 +1,5 @@
|
|||
#include <iostream>
|
||||
#include <vector>
|
||||
#include <includes.hpp>
|
||||
#include <utilities.hpp>
|
||||
|
||||
#include <boost/assign.hpp>
|
||||
|
||||
|
|
|
@ -1,102 +1,3 @@
|
|||
#pragma once
|
||||
|
||||
#include <includes.hpp>
|
||||
|
||||
#include "striding_iterator.hpp"
|
||||
#include "periodic_iterator.hpp"
|
||||
#include "wavelet_constants.hpp"
|
||||
|
||||
namespace wvlt {
|
||||
namespace V1 {
|
||||
// Apply the matrix Wn with the DAUB4 coefficients
|
||||
template <typename Iterator>
|
||||
void wavelet_mul(Iterator begin, Iterator end){
|
||||
auto mul = end - begin;
|
||||
std::vector<double> out(mul, 0.0);
|
||||
for(int i = 0; i < mul; i += 2){
|
||||
out[i] = std::inner_product(evn_coef, evn_coef+4, periodic(begin, end) + i, 0.0);
|
||||
out[i+1] = std::inner_product(odd_coef, odd_coef+4, periodic(begin, end) + i, 0.0);
|
||||
}
|
||||
for(int i = 0; i < mul; ++i){
|
||||
*begin++ = out[i];
|
||||
}
|
||||
}
|
||||
|
||||
// Apply inverse of the matrix Wn with the DAUB4 coefficients
|
||||
template <typename Iterator>
|
||||
void wavelet_inv(Iterator begin, Iterator end){
|
||||
auto mul = end - begin;
|
||||
std::vector<double> out(mul, 0.0);
|
||||
Iterator bc = begin;
|
||||
for(int i = 0; i < mul; i += 2, begin += 2){
|
||||
Iterator b2 = begin + 1;
|
||||
for(int j = 0; j < 4; ++j){
|
||||
out[(i+j) % mul] += *begin * evn_coef[j] + *b2 * odd_coef[j];
|
||||
}
|
||||
}
|
||||
for(int i = 0; i < mul; ++i){
|
||||
*bc++ = out[i];
|
||||
}
|
||||
}
|
||||
|
||||
// Shuffle works with an extra copy, might be inefficient, but it is at least correct ;)
|
||||
// It applies the even-odd-sort matrix Sn
|
||||
template <typename Iterator>
|
||||
void shuffle(Iterator begin, Iterator end){
|
||||
typedef typename std::iterator_traits<Iterator>::value_type value_type;
|
||||
auto s = end - begin;
|
||||
assert(s % 2 == 0);
|
||||
|
||||
std::vector<value_type> v(s);
|
||||
std::copy(strided(begin , 2), strided(end , 2), v.begin());
|
||||
std::copy(strided(begin+1, 2), strided(end+1, 2), v.begin() + s/2);
|
||||
std::copy(v.begin(), v.end(), begin);
|
||||
}
|
||||
|
||||
template <typename Iterator>
|
||||
void unshuffle(Iterator begin, Iterator end){
|
||||
typedef typename std::iterator_traits<Iterator>::value_type value_type;
|
||||
auto s = end - begin;
|
||||
assert(s % 2 == 0);
|
||||
|
||||
std::vector<value_type> v(s);
|
||||
std::copy(begin, begin + s/2, strided(v.begin(), 2));
|
||||
std::copy(begin + s/2, end, strided(v.begin()+1, 2));
|
||||
std::copy(v.begin(), v.end(), begin);
|
||||
}
|
||||
|
||||
// Combines the matrix Wn and Sn recusrively
|
||||
// Only works for inputs of size 2^m
|
||||
template <typename Iterator>
|
||||
void wavelet(Iterator begin, Iterator end){
|
||||
auto s = end - begin;
|
||||
assert(s >= 4);
|
||||
for(int i = s; i >= 4; i >>= 1){
|
||||
// half interval
|
||||
end = begin + i;
|
||||
assert(is_pow_of_two(end - begin));
|
||||
|
||||
// multiply with Wn
|
||||
wavelet_mul(begin, end);
|
||||
// then with Sn
|
||||
shuffle(begin, end);
|
||||
}
|
||||
}
|
||||
|
||||
template <typename Iterator>
|
||||
void unwavelet(Iterator begin, Iterator end){
|
||||
auto s = end - begin;
|
||||
assert(s >= 4);
|
||||
for(int i = 4; i <= s; i <<= 1){
|
||||
// double interval
|
||||
end = begin + i;
|
||||
assert(is_pow_of_two(end - begin));
|
||||
|
||||
// unshuffle: Sn^-1
|
||||
unshuffle(begin, end);
|
||||
// then Wn^-1
|
||||
wavelet_inv(begin, end);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
#include "wavelet_2.hpp"
|
||||
|
|
|
@ -1,107 +0,0 @@
|
|||
#include <includes.hpp>
|
||||
|
||||
#include <boost/filesystem.hpp>
|
||||
#include <png.hpp>
|
||||
#include <utilities.hpp>
|
||||
|
||||
#include "compressed_image.hpp"
|
||||
#include "striding_iterator.hpp"
|
||||
#include "periodic_iterator.hpp"
|
||||
#include "wavelet.hpp"
|
||||
|
||||
using namespace wvlt::V1;
|
||||
|
||||
// note: we take a copy, because we will modify it in place
|
||||
jcmp::image compress(std::vector<double> image, int width, double threshold, int& zeros){
|
||||
auto height = image.size() / width;
|
||||
assert(is_pow_of_two(width));
|
||||
assert(is_pow_of_two(height));
|
||||
|
||||
// wavelet transform in x-direction
|
||||
for(int i = 0; i < height; ++i){
|
||||
wavelet(image.begin() + i*width, image.begin() + (i+1)*width);
|
||||
}
|
||||
|
||||
// wavelet transform in y-direction
|
||||
for(int i = 0; i < width; ++i){
|
||||
wavelet(strided(image.begin() + i, width), strided(image.end() + i, width));
|
||||
}
|
||||
|
||||
// save the principal coefficients
|
||||
std::vector<jcmp::coefficient> v;
|
||||
for(int y = 0; y < height; ++y){
|
||||
for(int x = 0; x < width; ++x){
|
||||
auto&& el = image[x + width*y];
|
||||
if(std::abs(el) > threshold) v.push_back({el, jcmp::uint(x), jcmp::uint(y)});
|
||||
else ++zeros;
|
||||
}
|
||||
}
|
||||
|
||||
return jcmp::image(width, height, std::move(v));
|
||||
}
|
||||
|
||||
std::vector<double> decompress(jcmp::image in){
|
||||
auto width = in.header.width;
|
||||
auto height = in.header.height;
|
||||
assert(is_pow_of_two(width));
|
||||
assert(is_pow_of_two(height));
|
||||
|
||||
std::vector<double> image(width * height, 0.0);
|
||||
|
||||
// read in coefficient on coordinates
|
||||
for(auto it = in.data.begin(); it != in.data.end(); ++it){
|
||||
auto&& x = *it;
|
||||
image[x.x + width*x.y] = x.c;
|
||||
}
|
||||
|
||||
in.clear();
|
||||
|
||||
// inverse wavelet transform in y-direction
|
||||
for(int i = 0; i < width; ++i){
|
||||
unwavelet(strided(image.begin() + i, width), strided(image.end() + i, width));
|
||||
}
|
||||
|
||||
// inverse wavelet transform in x-direction
|
||||
for(int i = 0; i < height; ++i){
|
||||
unwavelet(image.begin() + i*width, image.begin() + (i+1)*width);
|
||||
}
|
||||
|
||||
return image;
|
||||
}
|
||||
|
||||
int main(){
|
||||
namespace fs = boost::filesystem;
|
||||
|
||||
fs::path directory("images");
|
||||
fs::directory_iterator eod;
|
||||
for(fs::directory_iterator it(directory); it != eod; ++it){
|
||||
auto && path = it->path();
|
||||
if(path.extension() != ".png") continue;
|
||||
|
||||
// open file
|
||||
std::string filename = path.string();
|
||||
std::cout << field("file") << filename << std::endl;
|
||||
png::istream image(filename);
|
||||
|
||||
auto width = image.get_width();
|
||||
auto height = image.get_height();
|
||||
|
||||
// read into vector
|
||||
std::vector<double> image_vec;
|
||||
image_vec.reserve(width * height);
|
||||
for(unsigned char c = 0; image >> c;) image_vec.push_back(c/255.0);
|
||||
|
||||
// compress and decompress to see how we lost information
|
||||
int zeros = 0;
|
||||
auto compressed_vec = decompress(compress(image_vec, width, 0.5, zeros));
|
||||
|
||||
// output some information
|
||||
std::cout << field("raw") << human_string(image_vec.size()) << std::endl;
|
||||
std::cout << field("compressed") << human_string(image_vec.size() - zeros) << std::endl;
|
||||
|
||||
// save to output file
|
||||
std::string cfilename = "compressed/" + path.filename().string();
|
||||
png::gray_ostream compressed_image(width, height, cfilename);
|
||||
for(int i = 0; i < compressed_vec.size(); ++i) compressed_image << compressed_vec[i];
|
||||
}
|
||||
}
|
102
wavelet/wavelet_1.hpp
Normal file
102
wavelet/wavelet_1.hpp
Normal file
|
@ -0,0 +1,102 @@
|
|||
#pragma once
|
||||
|
||||
#include <includes.hpp>
|
||||
|
||||
#include "striding_iterator.hpp"
|
||||
#include "periodic_iterator.hpp"
|
||||
#include "wavelet_constants.hpp"
|
||||
|
||||
namespace wvlt {
|
||||
namespace V1 {
|
||||
// Apply the matrix Wn with the DAUB4 coefficients
|
||||
template <typename Iterator>
|
||||
void wavelet_mul(Iterator begin, Iterator end){
|
||||
auto mul = end - begin;
|
||||
std::vector<double> out(mul, 0.0);
|
||||
for(int i = 0; i < mul; i += 2){
|
||||
out[i] = std::inner_product(evn_coef, evn_coef+4, periodic(begin, end) + i, 0.0);
|
||||
out[i+1] = std::inner_product(odd_coef, odd_coef+4, periodic(begin, end) + i, 0.0);
|
||||
}
|
||||
for(int i = 0; i < mul; ++i){
|
||||
*begin++ = out[i];
|
||||
}
|
||||
}
|
||||
|
||||
// Apply inverse of the matrix Wn with the DAUB4 coefficients
|
||||
template <typename Iterator>
|
||||
void wavelet_inv(Iterator begin, Iterator end){
|
||||
auto mul = end - begin;
|
||||
std::vector<double> out(mul, 0.0);
|
||||
Iterator bc = begin;
|
||||
for(int i = 0; i < mul; i += 2, begin += 2){
|
||||
Iterator b2 = begin + 1;
|
||||
for(int j = 0; j < 4; ++j){
|
||||
out[(i+j) % mul] += *begin * evn_coef[j] + *b2 * odd_coef[j];
|
||||
}
|
||||
}
|
||||
for(int i = 0; i < mul; ++i){
|
||||
*bc++ = out[i];
|
||||
}
|
||||
}
|
||||
|
||||
// Shuffle works with an extra copy, might be inefficient, but it is at least correct ;)
|
||||
// It applies the even-odd-sort matrix Sn
|
||||
template <typename Iterator>
|
||||
void shuffle(Iterator begin, Iterator end){
|
||||
typedef typename std::iterator_traits<Iterator>::value_type value_type;
|
||||
auto s = end - begin;
|
||||
assert(s % 2 == 0);
|
||||
|
||||
std::vector<value_type> v(s);
|
||||
std::copy(strided(begin , 2), strided(end , 2), v.begin());
|
||||
std::copy(strided(begin+1, 2), strided(end+1, 2), v.begin() + s/2);
|
||||
std::copy(v.begin(), v.end(), begin);
|
||||
}
|
||||
|
||||
template <typename Iterator>
|
||||
void unshuffle(Iterator begin, Iterator end){
|
||||
typedef typename std::iterator_traits<Iterator>::value_type value_type;
|
||||
auto s = end - begin;
|
||||
assert(s % 2 == 0);
|
||||
|
||||
std::vector<value_type> v(s);
|
||||
std::copy(begin, begin + s/2, strided(v.begin(), 2));
|
||||
std::copy(begin + s/2, end, strided(v.begin()+1, 2));
|
||||
std::copy(v.begin(), v.end(), begin);
|
||||
}
|
||||
|
||||
// Combines the matrix Wn and Sn recusrively
|
||||
// Only works for inputs of size 2^m
|
||||
template <typename Iterator>
|
||||
void wavelet(Iterator begin, Iterator end){
|
||||
auto s = end - begin;
|
||||
assert(s >= 4);
|
||||
for(int i = s; i >= 4; i >>= 1){
|
||||
// half interval
|
||||
end = begin + i;
|
||||
assert(is_pow_of_two(end - begin));
|
||||
|
||||
// multiply with Wn
|
||||
wavelet_mul(begin, end);
|
||||
// then with Sn
|
||||
shuffle(begin, end);
|
||||
}
|
||||
}
|
||||
|
||||
template <typename Iterator>
|
||||
void unwavelet(Iterator begin, Iterator end){
|
||||
auto s = end - begin;
|
||||
assert(s >= 4);
|
||||
for(int i = 4; i <= s; i <<= 1){
|
||||
// double interval
|
||||
end = begin + i;
|
||||
assert(is_pow_of_two(end - begin));
|
||||
|
||||
// unshuffle: Sn^-1
|
||||
unshuffle(begin, end);
|
||||
// then Wn^-1
|
||||
wavelet_inv(begin, end);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
|
@ -1,5 +1,6 @@
|
|||
#pragma once
|
||||
|
||||
#include <utilities.hpp>
|
||||
#include "wavelet_constants.hpp"
|
||||
|
||||
/* Rewrite of the basic functions
|
||||
|
@ -69,17 +70,23 @@ namespace wvlt{
|
|||
x[i+stride] = y2;
|
||||
}
|
||||
|
||||
inline void wavelet(double* x, unsigned int size){
|
||||
// size indicates number of elements to process (so this is different from above!)
|
||||
inline void wavelet(double* x, unsigned int size, unsigned int stride){
|
||||
assert(x && is_pow_of_two(size) && size >= 4);
|
||||
auto full_size = stride*size;
|
||||
for(unsigned int i = 1; i <= size / 4; i <<= 1){
|
||||
wavelet_mul(x, x[0], x[i], size, i);
|
||||
auto j = stride * i;
|
||||
wavelet_mul(x, x[0], x[j], full_size, j);
|
||||
}
|
||||
}
|
||||
|
||||
inline void unwavelet(double* x, unsigned int size){
|
||||
// size indicates number of elements to process (so this is different from above!)
|
||||
inline void unwavelet(double* x, unsigned int size, unsigned int stride){
|
||||
assert(x && is_pow_of_two(size) && size >= 4);
|
||||
auto full_size = stride*size;
|
||||
for(unsigned int i = size / 4; i >= 1; i >>= 1){
|
||||
wavelet_inv(x, x[size-i], x[size-2*i], size, i);
|
||||
auto j = stride * i;
|
||||
wavelet_inv(x, x[full_size-j], x[full_size-2*j], full_size, j);
|
||||
}
|
||||
}
|
||||
}
|
|
@ -2,7 +2,7 @@
|
|||
#include <utilities.hpp>
|
||||
#include <bsp.hpp>
|
||||
|
||||
#include "wavelet2.hpp"
|
||||
#include "wavelet.hpp"
|
||||
#include "defines.hpp"
|
||||
|
||||
#ifndef NEXP
|
||||
|
@ -68,7 +68,7 @@ static void par_wavelet_base(distribution const & d, double* x, double* next, do
|
|||
|
||||
// proc zero has the privilige/duty to finish the job
|
||||
if(d.s == 0) {
|
||||
wvlt::wavelet(proczero, 2*d.p);
|
||||
wvlt::wavelet(proczero, 2*d.p, 1);
|
||||
// and to send it back to everyone
|
||||
for(unsigned int t = 0; t < d.p; ++t){
|
||||
for(unsigned int i = 0; i < 2; ++i){
|
||||
|
@ -102,7 +102,7 @@ static void par_wavelet(){
|
|||
|
||||
double time1 = bsp::time();
|
||||
|
||||
for(int i = 0; i < ITERS; ++i){
|
||||
for(unsigned int i = 0; i < ITERS; ++i){
|
||||
par_wavelet_base(d, x.data(), next.data(), proczero.data());
|
||||
bsp::sync();
|
||||
}
|
||||
|
@ -133,8 +133,8 @@ static void seq_wavelet(){
|
|||
for(unsigned int i = 0; i < N; ++i) v[i] = data(i);
|
||||
|
||||
{ auto time1 = timer::clock::now();
|
||||
for(int i = 0; i < ITERS; ++i){
|
||||
wvlt::wavelet(v.data(), v.size());
|
||||
for(unsigned int i = 0; i < ITERS; ++i){
|
||||
wvlt::wavelet(v.data(), v.size(), 1);
|
||||
}
|
||||
auto time2 = timer::clock::now();
|
||||
printf("sequential version\t%f\n", timer::from_dur(time2 - time1));
|
||||
|
@ -165,8 +165,8 @@ static void check_equality(double threshold){
|
|||
// Checks whether inverse gives us the data back
|
||||
// NOTE: modifies the global seq_result
|
||||
static void check_inverse(double threshold){
|
||||
for(int i = 0; i < ITERS; ++i){
|
||||
wvlt::unwavelet(seq_result.data(), seq_result.size());
|
||||
for(unsigned int i = 0; i < ITERS; ++i){
|
||||
wvlt::unwavelet(seq_result.data(), seq_result.size(), 1);
|
||||
}
|
||||
bool same = true;
|
||||
for(unsigned int i = 0; i < N; ++i){
|
|
@ -1,19 +1,10 @@
|
|||
#include <includes.hpp>
|
||||
#include <utilities.hpp>
|
||||
|
||||
#include "wavelet.hpp"
|
||||
#include "wavelet2.hpp"
|
||||
#include "wavelet_1.hpp"
|
||||
#include "wavelet_2.hpp"
|
||||
|
||||
|
||||
template <typename T>
|
||||
void print_vec(std::vector<T> v){
|
||||
auto it = v.begin(), end = v.end();
|
||||
std::cout << "{" << *it++;
|
||||
while(it != end) std::cout << ", " << *it++;
|
||||
std::cout << "}\n";
|
||||
}
|
||||
|
||||
void timing_test(){
|
||||
static void timing_test(){
|
||||
std::vector<double> input1 = {-1.0, -2.0, 2.0, 1.0, -3.0, -4.0, 4.0, 3.0};
|
||||
std::vector<double> input2 = input1;
|
||||
int test_size = 10;
|
||||
|
@ -36,15 +27,15 @@ void timing_test(){
|
|||
print_vec(input2);
|
||||
}
|
||||
|
||||
void correctness_test(){
|
||||
static void correctness_test(){
|
||||
std::vector<double> input1 = {-1.0, -2.0, 2.0, 1.0, -3.0, -4.0, 4.0, 3.0};
|
||||
std::vector<double> input2 = input1;
|
||||
|
||||
wvlt::V1::wavelet(input1.begin(), input1.end());
|
||||
wvlt::V1::unwavelet(input1.begin(), input1.end());
|
||||
|
||||
wvlt::V2::wavelet(input2.data(), input2.size());
|
||||
wvlt::V2::unwavelet(input2.data(), input2.size());
|
||||
wvlt::V2::wavelet(input2.data(), input2.size(), 1);
|
||||
wvlt::V2::unwavelet(input2.data(), input2.size(), 1);
|
||||
|
||||
std::cout << "V1\t"; print_vec(input1);
|
||||
std::cout << "V2\t"; print_vec(input2);
|
||||
|
|
Reference in a new issue