From 3fa54ee52fd577a54075dbc655e5523434f74462 Mon Sep 17 00:00:00 2001 From: lhahn Date: Sat, 19 Aug 2023 23:37:19 +0200 Subject: [PATCH] Git initial commit --- .gitignore | 32 + LICENSE | 674 ++ Makefile | 20 + README.md | 17 + dl_square-1.png | Bin 0 -> 45522 bytes src/clustering.hpp | 567 + src/learning.hpp | 45 + src/mdimension.hpp | 135 + src/meigen.hpp | 160 + src/mining.hpp | 377 + src/mmatrix.hpp | 1823 +++ test/debug.cpp | 215 + test/debug_cluster.cpp | 179 + test/debug_dimension.cpp | 94 + test/debug_matrix.cpp | 385 + test_data-creation/cluster.py | 40 + test_data-creation/pca.py | 167 + test_data/.Rhistory | 8 + test_data/Cluster.dat | 20000 ++++++++++++++++++++++++++++++++ test_data/Hidden.dat | 1300 +++ test_data/Hidden1.dat | 1130 ++ test_data/Hidden2.dat | 2628 +++++ 22 files changed, 29996 insertions(+) create mode 100755 .gitignore create mode 100755 LICENSE create mode 100755 Makefile create mode 100755 README.md create mode 100755 dl_square-1.png create mode 100755 src/clustering.hpp create mode 100755 src/learning.hpp create mode 100755 src/mdimension.hpp create mode 100755 src/meigen.hpp create mode 100755 src/mining.hpp create mode 100755 src/mmatrix.hpp create mode 100755 test/debug.cpp create mode 100755 test/debug_cluster.cpp create mode 100755 test/debug_dimension.cpp create mode 100755 test/debug_matrix.cpp create mode 100755 test_data-creation/cluster.py create mode 100755 test_data-creation/pca.py create mode 100755 test_data/.Rhistory create mode 100755 test_data/Cluster.dat create mode 100755 test_data/Hidden.dat create mode 100755 test_data/Hidden1.dat create mode 100755 test_data/Hidden2.dat diff --git a/.gitignore b/.gitignore new file mode 100755 index 0000000..259148f --- /dev/null +++ b/.gitignore @@ -0,0 +1,32 @@ +# Prerequisites +*.d + +# Compiled Object files +*.slo +*.lo +*.o +*.obj + +# Precompiled Headers +*.gch +*.pch + +# Compiled Dynamic libraries +*.so +*.dylib +*.dll + +# Fortran module files +*.mod +*.smod + +# Compiled Static libraries +*.lai +*.la +*.a +*.lib + +# Executables +*.exe +*.out +*.app diff --git a/LICENSE b/LICENSE new file mode 100755 index 0000000..9cecc1d --- /dev/null +++ b/LICENSE @@ -0,0 +1,674 @@ + GNU GENERAL PUBLIC LICENSE + Version 3, 29 June 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU General Public License is a free, copyleft license for +software and other kinds of works. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. 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It is safest +to attach them to the start of each source file to most effectively +state the exclusion of warranty; and each file should have at least +the "copyright" line and a pointer to where the full notice is found. + + {one line to give the program's name and a brief idea of what it does.} + Copyright (C) {year} {name of author} + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . + +Also add information on how to contact you by electronic and paper mail. + + If the program does terminal interaction, make it output a short +notice like this when it starts in an interactive mode: + + {project} Copyright (C) {year} {fullname} + This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. + This is free software, and you are welcome to redistribute it + under certain conditions; type `show c' for details. + +The hypothetical commands `show w' and `show c' should show the appropriate +parts of the General Public License. Of course, your program's commands +might be different; for a GUI interface, you would use an "about box". + + You should also get your employer (if you work as a programmer) or school, +if any, to sign a "copyright disclaimer" for the program, if necessary. +For more information on this, and how to apply and follow the GNU GPL, see +. + + The GNU General Public License does not permit incorporating your program +into proprietary programs. If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +. diff --git a/Makefile b/Makefile new file mode 100755 index 0000000..a95c0a0 --- /dev/null +++ b/Makefile @@ -0,0 +1,20 @@ +CC=g++ +CFLAGS=-Wall -O3 -std=c++11 -fopenmp + +BASESRC=test/debug_cluster.cpp +BASEHDR=src/mdimension.hpp src/mmatrix.hpp src/meigen.hpp src/mining.hpp src/learning.hpp src/clustering.hpp +BASEOBJ=$(BASESRC:.cpp=.o) +BASEFLD=bin +BASEEXE=debug_cluster + +all: $(BASESRC) $(BASEEXE) + +$(BASEEXE): $(BASEOBJ) + $(CC) $(CFLAGS) $(BASEOBJ) -o $(BASEFLD)/$@ + +.cpp.o: $(BASEHDR) + $(CC) -c $(CFLAGS) $< -o $@ + +clean: + find ./test/ -name "*.o" -delete + find ./$(BASEFLD) -name $(BASEEXE) -delete diff --git a/README.md b/README.md new file mode 100755 index 0000000..0134453 --- /dev/null +++ b/README.md @@ -0,0 +1,17 @@ +# data-learning +Approach for implementing a library concerning data mining (PCA, MDS, etc.), machine learning (Perceptron, SVM, etc.) and clustering (k-means, etc.). Can be used in future projects, for instance in the field of genomic selection. + +In lib-folder, all necessary code files can be found. Using $ ~ make , you can compile the test file from the src-folder. + +Important is to include mmatrix.hpp, the "mathematical matrix" class and clustering, mining or learning. +All functions are defined within the scope data_learning::< category >::< class >, e.g. data_learning::clustering::kmeans + +This personal project is being developed in freetime, so at some points there will be many changes, but at some other points in the future, there wont be changes within a few days. + +As of 2021 I start continuing on this project; a plan besides finishing cpu implementation is to get it run on AMD GPUs with OpenCL. + +If there are questions, please feel free to contact me: + lhahn@data-learning.de + +Best regards, + Lars Hahn diff --git a/dl_square-1.png b/dl_square-1.png new file mode 100755 index 0000000000000000000000000000000000000000..ced5053ec2efbf88d3bec018a742ac67e4b95d2e GIT binary patch literal 45522 zcmcG#1wd6>v@X19q(MTuR6vjv0qJg#k`C$aZlp^D6r{V6?(P;)y1Qf39sdIL9M8R; 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zB9Mvjw93HX`LO=^@t~FJ_xIeiuX*%ae9!jfe-}vtPluUTbhtG6=4Aa}BEW_c$ej!f zDy{y&qbDDTe5zCgE)xV@Hwju913E&Sd`>iQLjdTGO7ImapxdUY!U0|(2;2e!HH{(; z*j+HwDB{391~QEz4$NZ|hZ#j71M&jg0E$8eJ6om{*&{8*;{I>pQe{}9sU1m&W RH*ofg!PC{xWt~$(69Cxx4=Mlv literal 0 HcmV?d00001 diff --git a/src/clustering.hpp b/src/clustering.hpp new file mode 100755 index 0000000..0620dd1 --- /dev/null +++ b/src/clustering.hpp @@ -0,0 +1,567 @@ +#ifndef _CLUSTERING_HPP_ +#define _CLUSTERING_HPP_ + +/*===Libraries================================================================*/ +#include +#include +#include +#include +#include +#include + +#include "mmatrix.hpp" + +/*===Classes-Structurres======================================================*/ +namespace data_learning{ + /*---clustering-------------------------------------------------------------*/ + namespace clustering{ + static bool _Seeded = false; + /*---KMeans-Clutering---------------------------------------------------*/ + template + class kmeans{ + private: + mmatrix _DataMatrix; + mmatrix _Prototypes; + mmatrix _Assignments; + std::size_t _K; + static double _Threshold; + + public: + kmeans(std::size_t K); + kmeans(mmatrix && Mat, std::size_t K); + kmeans(mmatrix & Mat, std::size_t K); + + void initial_prototypes(mmatrix & Mat); + void data_matrix(mmatrix && Mat); + void data_matrix(mmatrix & Mat); + void threshold(T thresh); + + double cluster(); + std::vector clustering(std::size_t Steps = 1e3); + + mmatrix data_matrix(); + mmatrix prototypes(); + mmatrix assignments(); + T threshold(); + std::size_t k(); + + std::vector labels(); + std::vector< std::vector > label_clusters(); + std::vector< mmatrix > clusters(); + + void reset(); + + private: + mmatrix initial_proto(); + void initial_assign(); + void initialisation(); + }; + + + + + /*---Expectation-Maximisation-Clustering--------------------------------*/ + template + class emcluster{ + private: + mmatrix _DataMatrix; + mmatrix _Prototypes; + mmatrix _Assignments; + mmatrix _ClusterProb; + std::size_t _K; + double _Sigma; + double _SigmaInit; + static double _Threshold; + + public: + emcluster(std::size_t K, double sigma = 1e-4); + emcluster(mmatrix && Mat, std::size_t K, double sigma = 1e-4); + emcluster(mmatrix & Mat, std::size_t K, double sigma = 1e-4); + + void initial_prototypes(mmatrix & Mat); + void data_matrix(mmatrix && Mat); + void data_matrix(mmatrix & Mat); + void probability_matrix(mmatrix && Mat); + void probability_matrix(mmatrix & Mat); + void threshold(T thresh); + void sigma(double sigma); + + double cluster(); + std::vector clustering(std::size_t Steps = 1e3); + + mmatrix data_matrix(); + mmatrix prototypes(); + mmatrix assignments(); + mmatrix probability_matrix(); + T threshold(); + double sigma(); + std::size_t k(); + + std::vector labels(); + std::vector< std::vector > label_clusters(); + std::vector< mmatrix > clusters(); + + void reset(); + + private: + void init_kmeans(); + void initialisation(); + }; + + template + double emcluster::_Threshold = 1e-4; + + template + emcluster::emcluster(std::size_t K, double sigma):_K(K),_Sigma(sigma),_SigmaInit(sigma){ + if(_K < 2){ + throw std::out_of_range("K, number of prototypes, has to be greater than 1."); + } + if(!clustering::_Seeded){ + std::srand(std::time(NULL)); + clustering::_Seeded = true; + } + } + template + emcluster::emcluster(mmatrix && Mat, std::size_t K, double sigma):_K(K),_Sigma(sigma),_SigmaInit(sigma){ + if(_K < 2){ + throw std::out_of_range("K, number of prototypes, has to be greater than 1."); + } + if(!clustering::_Seeded){ + std::srand(std::time(NULL)); + clustering::_Seeded = true; + } + data_matrix(Mat); + } + template + emcluster::emcluster(mmatrix & Mat, std::size_t K, double sigma):_K(K),_Sigma(sigma),_SigmaInit(sigma){ + if(_K < 2){ + throw std::out_of_range("K, number of prototypes, has to be greater than 1."); + } + if(!clustering::_Seeded){ + std::srand(std::time(NULL)); + clustering::_Seeded = true; + } + data_matrix(Mat); + } + + template + void emcluster::initial_prototypes(mmatrix & Mat){ + if(Mat.row_size() != _K){ + throw std::out_of_range("Initial prototypes row size("+ + std::to_string(Mat.row_size())+") differs from number K("+ + std::to_string(_K)+")"); + } + if(Mat.col_size() != _DataMatrix.col_size() && _DataMatrix.col_size() != 0){ + throw std::out_of_range("initial prototypes col size("+ + std::to_string(Mat.col_size())+") differs from data col size ("+ + std::to_string(_DataMatrix.col_size())+")."); + } + _Prototypes = Mat; + initialisation(); + } + template + void emcluster::data_matrix(mmatrix && Mat){ + data_matrix(Mat); + } + template + void emcluster::data_matrix(mmatrix & Mat){ + _DataMatrix = Mat; + init_kmeans(); + } + template + void emcluster::probability_matrix(mmatrix && Mat){ + probability_matrix(Mat); + } + template + void emcluster::probability_matrix(mmatrix & Mat){ + _ClusterProb = Mat; + initialisation(); + } + template + void emcluster::threshold(T thresh){ + _Threshold = thresh; + } + template + void emcluster::sigma(double sigma){ + _Sigma = sigma; + _SigmaInit = sigma; + } + + template + double emcluster::cluster(){ + double NewSigma = 1.0/(2.0*_Sigma); + for(std::size_t i = 0; i < _DataMatrix.row_size(); i++){ + mmatrix DataProtoDist = mmatrix::vector_norms(_Prototypes - _DataMatrix[i],mmatrix::euclids).transpose()*NewSigma; + DataProtoDist -= mmatrix::mins(DataProtoDist); + //Final Step: _Assignment(i,:) = exp(DataProtoDist * Pj*-1)/sum(Pj*DataProtoDist*-1)[0][0] + } + + _ClusterProb = mmatrix::sums(_Assignments.transposition())/(T)_DataMatrix.row_size(); + for(std::size_t i = 0; i < _K; i++){ + mmatrix NewProto = _DataMatrix.vec_entry_mult(_Assignments.transposition()[i]); + _Prototypes[i] = (mmatrix::sums(NewProto.transposition())/mmatrix::sum(_Assignments.transposition()[i]))[0]; + } + NewSigma = 0; + for(std::size_t i = 0; i < _DataMatrix.row_size(); i++){ + NewSigma += (double)(mmatrix::vector_norms(_Prototypes - _DataMatrix[i],mmatrix::euclids)*_Assignments[i])[0][0]; + } + _Sigma = NewSigma/(_DataMatrix.row_size()*_DataMatrix.col_size()); + } + template + std::vector emcluster::clustering(std::size_t Steps){ + std::vector ReconstError; + + ReconstError.push_back(cluster()); + + for(std::size_t i = 1; i < Steps; i++){ + ReconstError.push_back(cluster()); + if(((ReconstError[i-1]-ReconstError[i])/ReconstError[i-1]) < _Threshold){ + break; + } + } + + return ReconstError; + } + + template + mmatrix emcluster::data_matrix(){ + return _DataMatrix; + } + template + mmatrix emcluster::prototypes(){ + return _Prototypes; + } + template + mmatrix emcluster::assignments(){ + return _Assignments; + } + template + mmatrix emcluster::probability_matrix(){ + return _ClusterProb; + } + template + T emcluster::threshold(){ + return _Threshold; + } + template + double emcluster::sigma(){ + return _Sigma; + } + template + std::size_t emcluster::k(){ + return _K; + } + + template + std::vector emcluster::labels(){ + std::vector Labels(_Assignments.row_size()); + for(std::size_t i = 0; i < _Assignments; i++){ + Labels[i] = std::max_element(_Assignments[i].begin(), + _Assignments[i].end())-_Assignments[i].begin(); + } + return labels; + } + template + std::vector< std::vector > emcluster::label_clusters(){ + std::vector< std::vector > Clusters(_K); + for(std::size_t i = 0; i < _Assignments.row_size(); i++){ + Clusters[(std::max_element(_Assignments[i].begin(), + _Assignments[i].end())-_Assignments[i].begin())].push_back(i); + } + return Clusters; + } + template + std::vector< mmatrix > emcluster::clusters(){ + std::vector< mmatrix > Clusters(_K); + std::vector< std::vector > cluster_label = label_clusters(); + for(std::size_t i = 0; i < _K; i++){ + Clusters[i].push_back(_Prototypes[i]); + for(std::size_t j = 0; j < cluster_label[i].size(); j++){ + Clusters[i].push_back(_DataMatrix[cluster_label[i][j]]); + } + } + return Clusters; + } + + template + void emcluster::reset(){ + _Sigma = _SigmaInit; + init_kmeans(); + } + + template + void emcluster::init_kmeans(){ + kmeans tmp_cluster(_DataMatrix,_K); + tmp_cluster.clustering(); + _Prototypes = tmp_cluster.prototypes(); + _Assignments = tmp_cluster.assignments(); + } + template + void emcluster::initialisation(){ + if(_Prototypes.row_size() != _K){ + throw std::out_of_range("Initial prototypes row size("+ + std::to_string(_Prototypes.row_size())+ + ") differs from number K("+std::to_string(_K)+")"); + } + if(_Prototypes.row_size() != _DataMatrix.col_size() && _DataMatrix.col_size() != 0){ + throw std::out_of_range("initial prototypes col size("+ + std::to_string(_Prototypes.col_size())+ + ") differs from data col size ("+ + std::to_string(_DataMatrix.col_size())+")."); + } + if(_ClusterProb.row_size() == _K){ + _ClusterProb.transpose(); + } + if(_ClusterProb.col_size() != _K){ + throw std::out_of_range("Initial probabilities col size("+ + std::to_string(_ClusterProb.col_size())+ + ") differs from number K("+std::to_string(_K)+")"); + } + } + + + + + + + + + + + + /*---Topograpic-Vector-Quantorisation-----------------------------------*/ + template + class tvq{ + + }; + + + + + + + + + + + + /*---KMeans-------------------------------------------------------------*/ + template + double kmeans::_Threshold = 1e-4; + + template + kmeans::kmeans(std::size_t K):_K(K){ + if(_K < 2){ + throw std::out_of_range("K, number of prototypes, has to be greater than 1."); + } + if(!clustering::_Seeded){ + std::srand(std::time(NULL)); + clustering::_Seeded = true; + } + } + template + kmeans::kmeans(mmatrix && Mat, std::size_t K):_K(K){ + if(_K < 2){ + throw std::out_of_range("K, number of prototypes, has to be greater than 1."); + } + if(!clustering::_Seeded){ + std::srand(std::time(NULL)); + clustering::_Seeded = true; + } + data_matrix(Mat); + } + template + kmeans::kmeans(mmatrix & Mat, std::size_t K):_K(K){ + if(_K < 2){ + throw std::out_of_range("K, number of prototypes, has to be greater than 1."); + } + if(!clustering::_Seeded){ + std::srand(std::time(NULL)); + clustering::_Seeded = true; + } + data_matrix(Mat); + } + + template + void kmeans::initial_prototypes(mmatrix & Mat){ + if(Mat.row_size() != _K){ + throw std::out_of_range("Initial prototypes row size("+ + std::to_string(Mat.row_size())+") differs from number K("+ + std::to_string(_K)+")"); + } + if(Mat.col_size() != _DataMatrix.col_size() && _DataMatrix.col_size() != 0){ + throw std::out_of_range("initial prototypes col size("+ + std::to_string(Mat.col_size())+") differs from data col size ("+ + std::to_string(_DataMatrix.col_size())+")."); + } + _Prototypes = Mat; + initial_assign(); + } + template + void kmeans::data_matrix(mmatrix && Mat){ + data_matrix(Mat); + } + template + void kmeans::data_matrix(mmatrix & Mat){ + _DataMatrix = Mat; + initialisation(); + } + template + void kmeans::threshold(T thresh){ + _Threshold = thresh; + } + + template + double kmeans::cluster(){ + double ReconstError = 0; + for(std::size_t i = 0; i < _DataMatrix.row_size(); i++){ + mmatrix Assignment = mmatrix::vector_norms(_Prototypes - _DataMatrix[i], mmatrix::euclids); + _Assignments[i][std::max_element(_Assignments[i].begin(),_Assignments[i].end())-_Assignments[i].begin()] = T(0); + std::size_t Idx = std::max_element(Assignment[0].begin(),Assignment[0].end()) - Assignment[0].begin(); + _Assignments[i][Idx] = T(1); + } + for(std::size_t i = 0; i < _K; i++){ + mmatrix NewProto = _DataMatrix.vec_entry_mult(_Assignments.transposition()[i]); + _Prototypes[i] = (mmatrix::sums(NewProto.transposition())/mmatrix::sum(_Assignments.transposition()[i]))[0]; + } + for(std::size_t i = 0; i < _DataMatrix.row_size(); i++){ + ReconstError += (double)(mmatrix::vector_norms(_Prototypes - _DataMatrix[i],mmatrix::euclids)*_Assignments[i])[0][0]; + } + return ReconstError*_DataMatrix.row_size(); + } + template + std::vector kmeans::clustering(std::size_t Steps){ + std::vector ReconstError; + std::size_t Idx = 0, Try = 0; + double Gradient = 1, Diff = 1; + + while(Try < Steps){ + ReconstError.push_back(cluster()); + Try++, Idx++; + if(std::abs(mmatrix::min(mmatrix::maxs(_Assignments.transposition()))) < 1e-10){ + while(std::abs(mmatrix::min(mmatrix::maxs(_Assignments.transposition()))) < 1e-10){ + ReconstError.clear(); + initialisation(); + ReconstError.push_back(cluster()); + } + Idx = 1; + Gradient = 1; + } + + if(Idx > 1){ + Gradient = std::fabs((ReconstError[Idx-2]-ReconstError[Idx-1])/(ReconstError[Idx-2])); + } + if(Idx > 2){ + Diff = std::fabs(ReconstError[Idx-1]-ReconstError[Idx-3]); + } + if(Gradient < _Threshold || std::fabs(ReconstError[Idx-1]) == 0 || Diff == 0 ){ + break; + } + } + + return ReconstError; + } + + template + mmatrix kmeans::data_matrix(){ + return _DataMatrix; + } + template + mmatrix kmeans::prototypes(){ + return _Prototypes; + } + template + mmatrix kmeans::assignments(){ + return _Assignments; + } + template + T kmeans::threshold(){ + return _Threshold; + } + template + std::size_t kmeans::k(){ + return _K; + } + + template + std::vector kmeans::labels(){ + std::vector Labels(_Assignments.row_size()); + for(std::size_t i = 0; i < _Assignments; i++){ + Labels[i] = std::max_element(_Assignments[i].begin(),_Assignments[i].end())-_Assignments[i].begin(); + } + return labels; + } + template + std::vector< std::vector > kmeans::label_clusters(){ + std::vector< std::vector > Clusters(_K); + for(std::size_t i = 0; i < _Assignments.row_size(); i++){ + Clusters[(std::max_element(_Assignments[i].begin(),_Assignments[i].end())-_Assignments[i].begin())].push_back(i); + } + return Clusters; + } + template + std::vector< mmatrix > kmeans::clusters(){ + std::vector< mmatrix > Clusters(_K); + std::vector< std::vector > cluster_label = label_clusters(); + for(std::size_t i = 0; i < _K; i++){ + Clusters[i].push_back(_Prototypes[i]); + for(std::size_t j = 0; j < cluster_label[i].size(); j++){ + Clusters[i].push_back(_DataMatrix[cluster_label[i][j]]); + } + } + return Clusters; + } + + template + void kmeans::reset(){ + _Prototypes = initial_proto(); + initial_assign(); + } + + template + mmatrix kmeans::initial_proto(){ + mmatrix Protos; + std::unordered_set Indices; + std::size_t i = 0, idx; + + while(i < _K){ + idx = std::fmod(std::rand(),_DataMatrix.row_size()); + auto Search = Indices.find(idx); + if(Search == Indices.end()){ + Protos.push_back(_DataMatrix[idx]); + Indices.insert(idx); + i++; + } + } + + return Protos; + } + template + void kmeans::initial_assign(){ + mmatrix Assignment; + std::size_t Idx; + for(std::size_t i = 0; i < _DataMatrix.row_size(); i++){ + Assignment = mmatrix::vector_norms(_Prototypes - _DataMatrix[i], mmatrix::euclids); + Idx = std::max_element(Assignment[0].begin(),Assignment[0].end()) - Assignment[0].begin(); + _Assignments[i][Idx] = T(1); + } + } + + template + void kmeans::initialisation(){ + do{ + _Assignments = mmatrix(_DataMatrix.row_size(), _K); + _Prototypes = initial_proto(); + initial_assign(); + }while(std::abs(mmatrix::min(mmatrix::maxs(_Assignments.transposition()))) <1e-10); + } + }; +}; + +/*===Variables================================================================*/ + +/*===Prototypes===============================================================*/ + +/*===Main=====================================================================*/ + +#endif \ No newline at end of file diff --git a/src/learning.hpp b/src/learning.hpp new file mode 100755 index 0000000..6305b75 --- /dev/null +++ b/src/learning.hpp @@ -0,0 +1,45 @@ +#ifndef _LEARNING_HPP_ +#define _LEARNING_HPP_ +/*===Libraries================================================================*/ + +/*===Classes-Structurres======================================================*/ +namespace data_learning{ + /*---machine-learning-------------------------------------------------------*/ + namespace learning{ + class perceptron{ + + }; + + class centroid{ + + }; + + class svm{ + + }; + + class neighbour{ + + }; + + class neuronal{ + + }; + + class kernel{ + + }; + + class forest{ + + }; + }; +}; + +/*===Variables================================================================*/ + +/*===Prototypes===============================================================*/ + +/*===Main=====================================================================*/ + +#endif \ No newline at end of file diff --git a/src/mdimension.hpp b/src/mdimension.hpp new file mode 100755 index 0000000..227bda0 --- /dev/null +++ b/src/mdimension.hpp @@ -0,0 +1,135 @@ +#ifndef _MDIMENSION_HPP_ +#define _MDIMENSION_HPP_ + +/*===Libraries================================================================*/ +#include +#include +#include +#include + +#include "mdimension.hpp" + +/*===Classes-Structurres======================================================*/ +class mdimension{ + public: + // size(Mat) == _Row x _Col + std::size_t Row; + std::size_t Col; + + public: + mdimension(); + mdimension(std::size_t Size); + mdimension(std::size_t R, std::size_t C); + mdimension(const mdimension & Dim); + mdimension(const mdimension && Dim); + + std::string to_string() const; + bool empty() const; + void swap(); + + bool operator==(const mdimension && Dim) const; + bool operator!=(const mdimension && Dim) const; + bool operator==(const mdimension & Dim) const; + bool operator!=(const mdimension & Dim) const; + + mdimension& operator=(const mdimension && Dim); + mdimension& operator=(const mdimension & Dim); + + mdimension operator*(const mdimension && DimL) const; + mdimension& operator*=(const mdimension && DimL); + mdimension operator*(const mdimension & DimL) const; + mdimension& operator*=(const mdimension & DimL); +}; + + +/*===Variables================================================================*/ + +/*===Prototypes===============================================================*/ + +/*===Main=====================================================================*/ +mdimension::mdimension():Row(0),Col(0){ +} +mdimension::mdimension(std::size_t Size):Row(Size),Col(Size){ +} +mdimension::mdimension(std::size_t R, std::size_t C):Row(R),Col(C){ +} +mdimension::mdimension(const mdimension & Dim){ + Row = Dim.Row; + Col = Dim.Col; +} +mdimension::mdimension(const mdimension && Dim){ + Row = Dim.Row; + Col = Dim.Col; +} + + +std::string mdimension::to_string() const{ + std::string Str = "<" + std::to_string(Row) + "x"+std::to_string(Col) + ">"; + return Str; +} + +bool mdimension::empty() const{ + return ((Row + Col) == 0); +} + +void mdimension::swap(){ + std::size_t Tmp = std::move(Row); + Row = std::move(Col); + Col = std::move(Tmp); +} + + +bool mdimension::operator==(const mdimension && Dim) const{ + return operator==(Dim); +} +bool mdimension::operator!=(const mdimension && Dim) const{ + return operator!=(Dim); +} +bool mdimension::operator==(const mdimension & Dim) const{ + return (Row - Dim.Row + Col - Dim.Col) == 0; +} +bool mdimension::operator!=(const mdimension & Dim) const{ + return (Row - Dim.Row + Col - Dim.Col) != 0; +} + +mdimension& mdimension::operator=(const mdimension && Dim){ + return operator=(Dim); +} +mdimension& mdimension::operator=(const mdimension & Dim){ + Row = Dim.Row; + Col = Dim.Col; + return *this; +} + +mdimension mdimension::operator*(const mdimension && Dim) const{ + return operator*(Dim); +} +mdimension& mdimension::operator*=(const mdimension && Dim){ + return operator*=(Dim); +} +mdimension mdimension::operator*(const mdimension & Dim) const{ + mdimension NewDim(0); + if((Col - Dim.Row) == 0){ + NewDim.Row = Row; + NewDim.Col = Dim.Col; + } + else{ + throw std::out_of_range("Matrix dimensions "+to_string() + " * " + + Dim.to_string() + " are not conforming, " + std::to_string(Col) + + " != " +std::to_string(Dim.Row) + "."); + } + return NewDim; +} +mdimension& mdimension::operator*=(const mdimension & Dim){ + if((Col - Dim.Row) == 0){ + Col = Dim.Col; + } + else{ + throw std::out_of_range("Matrix dimensions "+to_string() + " * " + + Dim.to_string() + " are not conforming, " + std::to_string(Col) + + " != " +std::to_string(Dim.Row) + "."); + } + return *this; +} + +#endif \ No newline at end of file diff --git a/src/meigen.hpp b/src/meigen.hpp new file mode 100755 index 0000000..adfcd0c --- /dev/null +++ b/src/meigen.hpp @@ -0,0 +1,160 @@ +#ifndef _MEIGEN_HPP_ +#define _MEIGEN_HPP_ + +/*===Libraries================================================================*/ +#define _USE_MATH_DEFINES +#include + +#include +#include +#include + +/*===Classes-Structurres======================================================*/ +template +class mmatrix; + +template +class meigen{ + private: + mmatrix _EigenVector; + T _EigenValue; + static double _Threshold; + static T _RMin; + static T _RMax; + static std::size_t _MaxPowerVal; + static bool _Seeded; + + public: + meigen(); + meigen(mmatrix && Vector, T Value); + meigen(mmatrix & Vector, T Value); + + mmatrix vector(); + T value(); + + static meigen power_iteration(mmatrix && SqrMatrix, std::function)> const& Norm = mmatrix::euclid); + static meigen power_iteration(mmatrix & SqrMatrix, std::function)> const& Norm = mmatrix::euclid); + static meigen power_iteration(mmatrix && SqrMatrix, mmatrix && InitVector, std::function)> const& Norm = mmatrix::euclid); + static meigen power_iteration(mmatrix & SqrMatrix, mmatrix & InitVector, std::function)> const& Norm = mmatrix::euclid); + + static double threshold(); + static void threshold(double thresh); + static std::size_t power_counter(); + static void power_counter(std::size_t MaxCtr); +}; + +/*===Variables================================================================*/ +template +double meigen::_Threshold = 1e-4; +template +T meigen::_RMax = T(1000); +template +T meigen::_RMin = T(0); +template +std::size_t meigen::_MaxPowerVal = 1e5; +template +bool meigen::_Seeded = false; + + +/*===Prototypes===============================================================*/ + +/*===Main=====================================================================*/ +template +meigen::meigen(){ + if(!_Seeded){ + std::srand(std::time(NULL)); + _Seeded = true; + } +}; + +template +meigen::meigen(mmatrix && Vector, T Value){ + _EigenVector = Vector; + _EigenValue = Value; + if(!_Seeded){ + std::srand(std::time(NULL)); + _Seeded = true; + } +} + +template +meigen::meigen(mmatrix & Vector, T Value){ + _EigenVector = Vector; + _EigenValue = Value; + if(!_Seeded){ + std::srand(std::time(NULL)); + _Seeded = true; + } +} + +template +mmatrix meigen::vector(){ + return _EigenVector; +} + +template +T meigen::value(){ + return _EigenValue; +} + +template +meigen meigen::power_iteration(mmatrix && SqrMatrix, std::function)> const& Norm){ + return power_iteration(SqrMatrix, Norm); +} + +template +meigen meigen::power_iteration(mmatrix & SqrMatrix, std::function)> const& Norm){ + std::vector RandVec(SqrMatrix.col_size()); + + std::transform(RandVec.begin(), RandVec.end(), RandVec.begin(),[](T & Tmp){ + return std::fmod(std::rand(),(_RMax-_RMin + 1)) + _RMin; + }); + mmatrix RandInitVector(RandVec); + + return power_iteration(SqrMatrix, RandInitVector, Norm); +} + +template +meigen meigen::power_iteration(mmatrix && SqrMatrix, mmatrix && InitVector, std::function)> const& Norm){ + power_iteration(SqrMatrix, InitVector, Norm); +} + +template +meigen meigen::power_iteration(mmatrix & SqrMatrix, mmatrix & InitVector, std::function)> const& Norm){ + if(SqrMatrix.row_size() != SqrMatrix.col_size()){ + throw std::out_of_range("power_iteration: Matrix has to be square matix, but it is "+SqrMatrix.size().to_string()+"."); + } + mmatrix PreVec = InitVector/Norm(InitVector), EigVec(PreVec * SqrMatrix); + EigVec /= Norm(EigVec); + + double deg = std::acos((PreVec*EigVec.transposition())[0][0])*180.0 / M_PI; + std::size_t RoundCtr = 0; + while(deg > _Threshold && RoundCtr < _MaxPowerVal){ + RoundCtr++; + PreVec = EigVec; + EigVec = PreVec * SqrMatrix; + EigVec /= Norm(EigVec); + deg = std::acos((PreVec*EigVec.transposition())[0][0])*180.0 / M_PI; + } + T EigVal = (EigVec * (SqrMatrix * EigVec.transposition()))[0][0]; + return meigen(EigVec, EigVal); +} + +template +double meigen::threshold(){ + return _Threshold; +} +template +void meigen::threshold(double Thresh){ + _Threshold = Thresh; +} +template +std::size_t meigen::power_counter(){ + return _MaxPowerVal; +} +template +void meigen::power_counter(std::size_t MaxCtr){ + _MaxPowerVal = MaxCtr; +} + +#endif \ No newline at end of file diff --git a/src/mining.hpp b/src/mining.hpp new file mode 100755 index 0000000..7819c45 --- /dev/null +++ b/src/mining.hpp @@ -0,0 +1,377 @@ +#ifndef _MINING_HPP_ +#define _MINING_HPP_ + +/*===Libraries================================================================*/ +#include +#include + +#include "mmatrix.hpp" +#include "meigen.hpp" + +namespace data_learning{ + /*---data-mining------------------------------------------------------------*/ + namespace mining{ + template + class pca{ + private: + mmatrix _DataMatrix; + mmatrix _CovMatrix; + std::vector< meigen > _Eigens; + + public: + pca(); + pca(mmatrix && Mat); + pca(mmatrix & Mat); + + void data_matrix(mmatrix && Mat); + void data_matrix(mmatrix & Mat); + + mmatrix data_matrix(); + mmatrix cov_matrix(); + std::vector< meigen > eigen(std::size_t EigNumber = 0, std::function)> const& Norm = mmatrix::euclid); + + mmatrix eigen_spectrum(std::size_t EigNumber = 0, bool normalise = true, std::function)> const& Norm = mmatrix::euclid); + mmatrix loadings(std::size_t LoadNumber = 0, std::function)> const& Norm = mmatrix::euclid); + mmatrix loading(std::size_t LoadIdx, std::function)> const& Norm = mmatrix::euclid); + mmatrix principle_components(std::size_t CompNumber = 0, std::function)> const& Norm = mmatrix::euclid); + mmatrix principle_component(std::size_t CompIdx, std::function)> const& Norm = mmatrix::euclid); + + private: + void calc_eigen(std::size_t EigNumber, std::function)> const& Norm = mmatrix::euclid); + }; + + template + pca::pca(){ + } + template + pca::pca(mmatrix && Mat){ + data_matrix(Mat); + } + template + pca::pca(mmatrix & Mat){ + data_matrix(Mat); + } + + template + void pca::data_matrix(mmatrix && Mat){ + data_matrix(Mat); + } + template + void pca::data_matrix(mmatrix & Mat){ + _Eigens.clear(); + _CovMatrix.clear(); + _DataMatrix = Mat; + } + + template + mmatrix pca::data_matrix(){ + return _DataMatrix; + } + template + mmatrix pca::cov_matrix(){ + if(_CovMatrix.size().Row == 0 || _CovMatrix.size().Col == 0){ + _CovMatrix = mmatrix::covariance(_DataMatrix); + } + return _CovMatrix; + } + template + std::vector< meigen > pca::eigen(std::size_t EigNumber, std::function)> const& Norm){ + if(_Eigens.size() < EigNumber || EigNumber == 0){ + if(EigNumber == 0){ + EigNumber = _DataMatrix.col_size(); + } + calc_eigen(EigNumber, Norm); + } + return _Eigens; + } + + template + mmatrix pca::eigen_spectrum(std::size_t EigNumber, bool normalise, std::function)> const& Norm){ + if(_Eigens.size() < EigNumber || EigNumber == 0){ + if(EigNumber == 0){ + EigNumber = _DataMatrix.col_size(); + } + calc_eigen(EigNumber, Norm); + } + mmatrix EigSpec = mmatrix(1,EigNumber); + T Sum = T(); + for(std::size_t i = 0; i < EigNumber; i++){ + EigSpec[0][i] = _Eigens[i].value(); + Sum += _Eigens[i].value(); + } + if(normalise){ + std::transform(EigSpec[0].begin(), EigSpec[0].end(), EigSpec[0].begin(), [Sum](T & Val){ + return Val/Sum; + }); + } + return EigSpec; + } + template + mmatrix pca::loadings(std::size_t LoadNumber, std::function)> const& Norm){ + if(_Eigens.size() < LoadNumber || LoadNumber == 0){ + if(LoadNumber == 0){ + LoadNumber = _DataMatrix.col_size(); + } + calc_eigen(LoadNumber, Norm); + } + mmatrix Loadings = mmatrix(); + for(meigen Eigen : _Eigens){ + Loadings.push_back(Eigen.vector()); + } + return Loadings; + } + template + mmatrix pca::loading(std::size_t LoadIdx, std::function)> const& Norm){ + if(_Eigens.size() < LoadIdx){ + calc_eigen(LoadIdx, Norm); + } + return _Eigens[LoadIdx].vector(); + } + template + mmatrix pca::principle_components(std::size_t CompNumber, std::function)> const& Norm){ + if(_Eigens.size() < CompNumber || CompNumber == 0){ + if(CompNumber == 0){ + CompNumber = _DataMatrix.col_size(); + } + calc_eigen(CompNumber, Norm); + } + mmatrix PrinComp = _DataMatrix*loadings().transposition(); + return PrinComp; + } + template + mmatrix pca::principle_component(std::size_t CompIdx, std::function)> const& Norm){ + if(_Eigens.size() < CompIdx){ + calc_eigen(CompIdx, Norm); + } + return _DataMatrix*_Eigens[CompIdx].vector().transposition(); + } + + template + void pca::calc_eigen(std::size_t EigNumber, std::function)> const& Norm){ + if(_CovMatrix.size().Row == 0 || _CovMatrix.size().Col == 0){ + _CovMatrix = mmatrix::covariance(_DataMatrix); + } + if(EigNumber == 0){ + EigNumber = _CovMatrix.row_size(); + } + if(_Eigens.size() == 0){ + _Eigens = mmatrix::eigen(_CovMatrix, EigNumber, Norm); + } + else if(_Eigens.size() < EigNumber){ + std::vector< meigen > remainEigen = mmatrix::eigen(mmatrix::reduced_covariance(_CovMatrix, _Eigens),EigNumber-_Eigens.size(), Norm); + _Eigens.insert(_Eigens.end(),remainEigen.begin(),remainEigen.end()); + } + } + + /*----------------------------------------------------------------------*/ + template + class mds{ + private: + mmatrix _DistMatrix; + mmatrix _GramianMatrix; + std::vector< meigen > _Eigens; + + public: + mds(); + mds(mmatrix && Mat); + mds(mmatrix & Mat); + + void dist_matrix(mmatrix && Mat); + void dist_matrix(mmatrix & Mat); + + void data_matrix(mmatrix && Mat, std::function)> const& Norm = mmatrix::euclid); + void data_matrix(mmatrix & Mat, std::function)> const& Norm = mmatrix::euclid); + + mmatrix dist_matrix(); + mmatrix gramian_matrix(); + std::vector< meigen > eigen(std::size_t EigNumber = 0, std::function)> const& Norm = mmatrix::euclid); + + mmatrix eigen_spectrum(std::size_t EigNumber = 0, bool normalise = true, std::function)> const& Norm = mmatrix::euclid); + mmatrix loadings(std::size_t LoadNumber = 0, std::function)> const& Norm = mmatrix::euclid); + mmatrix loading(std::size_t LoadIdx, std::function)> const& Norm = mmatrix::euclid); + mmatrix principle_components(std::size_t CompNumber = 0, std::function)> const& Norm = mmatrix::euclid); + mmatrix principle_component(std::size_t CompIdx, std::function)> const& Norm = mmatrix::euclid); + + private: + void calc_eigen(std::size_t EigNumber, std::function)> const& Norm = mmatrix::euclid); + }; + + template + mds::mds(){ + } + template + mds::mds(mmatrix && Mat){ + data_matrix(Mat); + } + template + mds::mds(mmatrix & Mat){ + data_matrix(Mat); + } + + template + void mds::dist_matrix(mmatrix && Mat){ + _Eigens.clear(); + _GramianMatrix.clear(); + _DistMatrix = Mat; + } + template + void mds::dist_matrix(mmatrix & Mat){ + _Eigens.clear(); + _GramianMatrix.clear(); + _DistMatrix = Mat; + } + + template + void mds::data_matrix(mmatrix && Mat, std::function)> const& Norm){ + data_matrix(Mat,Norm); + } + template + void mds::data_matrix(mmatrix & Mat, std::function)> const& Norm){ + _Eigens.clear(); + _GramianMatrix.clear(); + _DistMatrix = mmatrix::vectorwise_distance(Mat,Mat,Norm); + std::ofstream asdf("dist.dat"); + asdf << _DistMatrix.to_string() << std::endl; + asdf.close(); + } + + template + mmatrix mds::dist_matrix(){ + return _DistMatrix; + } + template + mmatrix mds::gramian_matrix(){ + if(_GramianMatrix.size().Row == 0 || _GramianMatrix.size().Col == 0){ + _GramianMatrix = mmatrix::gramian(_DistMatrix); + } + return _GramianMatrix; + } + template + std::vector< meigen > mds::eigen(std::size_t EigNumber, std::function)> const& Norm){ + if(_Eigens.size() < EigNumber || EigNumber == 0){ + calc_eigen(EigNumber, Norm); + } + return _Eigens; + } + + template + mmatrix mds::eigen_spectrum(std::size_t EigNumber, bool normalise, std::function)> const& Norm){ + if(_Eigens.size() < EigNumber || EigNumber == 0){ + calc_eigen(EigNumber, Norm); + } + mmatrix EigSpec = mmatrix(1,EigNumber); + T Sum = T(); + for(std::size_t i = 0; i < EigNumber; i++){ + EigSpec[0][i] = _Eigens[i].value(); + Sum += _Eigens[i].value(); + } + if(normalise){ + std::transform(EigSpec[0].begin(), EigSpec[0].end(), EigSpec[0].begin(), [Sum](T & Val){ + return Val/Sum; + }); + } + return EigSpec; + } + template + mmatrix mds::loadings(std::size_t LoadNumber, std::function)> const& Norm){ + if(_Eigens.size() < LoadNumber || LoadNumber == 0){ + calc_eigen(LoadNumber, Norm); + } + mmatrix Loadings = mmatrix(); + for(meigen Eigen : _Eigens){ + Loadings.push_back(Eigen.vector()); + } + return Loadings; + } + template + mmatrix mds::loading(std::size_t LoadIdx, std::function)> const& Norm){ + if(_Eigens.size() < LoadIdx){ + calc_eigen(LoadIdx, Norm); + } + return _Eigens[LoadIdx].vector(); + } + template + mmatrix mds::principle_components(std::size_t CompNumber, std::function)> const& Norm){ + return loadings(CompNumber, Norm).transposition(); + } + template + mmatrix mds::principle_component(std::size_t CompIdx, std::function)> const& Norm){ + return loading(CompIdx, Norm).transposition(); + } + + template + void mds::calc_eigen(std::size_t EigNumber, std::function)> const& Norm){ + if(_GramianMatrix.size().Row == 0 || _GramianMatrix.size().Col == 0){ + _GramianMatrix = mmatrix::gramian(_DistMatrix); + std::ofstream asdf("gram.dat"); + asdf << _GramianMatrix.to_string() << std::endl; + asdf.close(); + } + if(EigNumber == 0){ + EigNumber = _GramianMatrix.row_size(); + } + if(_Eigens.size() == 0){ + _Eigens = mmatrix::eigen(_GramianMatrix, EigNumber, Norm); + } + else if(_Eigens.size() < EigNumber){ + std::vector< meigen > remainEigen = mmatrix::eigen(mmatrix::reduced_covariance(_GramianMatrix, _Eigens),EigNumber-_Eigens.size(), Norm); + _Eigens.insert(_Eigens.end(),remainEigen.begin(),remainEigen.end()); + } + } + + + /*----------------------------------------------------------------------*/ + template + class sammon{ + private: + mmatrix _DataMatrix; + std::vector< meigen > _Eigens; + + public: + sammon(); + sammon(mmatrix && Mat); + sammon(mmatrix & Mat); + + void set_matrix(mmatrix && Mat); + void set_matrix(mmatrix & Mat); + }; + + template + sammon::sammon(){ + } + template + sammon::sammon(mmatrix && Mat){ + set_matrix(Mat); + } + template + sammon::sammon(mmatrix & Mat){ + set_matrix(Mat); + } + + template + void sammon::set_matrix(mmatrix && Mat){ + _Eigens.clear(); + _DataMatrix = Mat; + } + template + void sammon::set_matrix(mmatrix & Mat){ + _Eigens.clear(); + _DataMatrix = Mat; + } + + + /*----------------------------------------------------------------------*/ + class kernelreg{ + + }; + + }; +}; + +/*===Variables================================================================*/ + +/*===Prototypes===============================================================*/ + +/*===Main=====================================================================*/ + +#endif \ No newline at end of file diff --git a/src/mmatrix.hpp b/src/mmatrix.hpp new file mode 100755 index 0000000..789fc21 --- /dev/null +++ b/src/mmatrix.hpp @@ -0,0 +1,1823 @@ +#ifndef _MMATRIX_HPP_ +#define _MMATRIX_HPP_ + +/*===Libraries================================================================*/ +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include "mdimension.hpp" +#include "meigen.hpp" + +/*===Classes-Structurres======================================================*/ +template +class mmatrix{ + private: + std::vector< std::vector > _Matrix; + mdimension _Dimensions; + static std::size_t threadNumber; + + public: + mmatrix(); + mmatrix(size_t Row, size_t Col, T Val=T()); + mmatrix(const mdimension && Dim, T Val=T()); + mmatrix(const mdimension & Dim, T Val=T()); + mmatrix(const mmatrix && Mat); + mmatrix(const mmatrix & Mat); + mmatrix(const std::vector && Mat); + mmatrix(const std::vector & Mat); + mmatrix(const std::initializer_list && Mat); + mmatrix(const std::initializer_list & Mat); + mmatrix(const std::vector< std::vector > && Mat); + mmatrix(const std::vector< std::vector > & Mat); + mmatrix(const std::initializer_list< std::initializer_list > && Mat); + mmatrix(const std::initializer_list< std::initializer_list > & Mat); + + void push_back(const std::vector && ValList); + void push_back(const std::vector & ValList); + void push_back_row(const std::vector && ValList); + void push_back_row(const std::vector & ValList); + void push_back_col(const std::vector && ValList); + void push_back_col(const std::vector & ValList); + void push_back(const mmatrix && Mat); + void push_back(const mmatrix & Mat); + void push_back_row(const mmatrix && Mat); + void push_back_row(const mmatrix & Mat); + void push_back_col(const mmatrix && Mat); + void push_back_col(const mmatrix & Mat); + + void resize(size_t NewSize, T Val=T()); + void resize(size_t NewRow, size_t NewCol, T Val=T()); + void resize(const mdimension && Dim, T Val=T()); + void resize(const mdimension & Dim, T Val=T()); + + void reserve(size_t NewSize); + void reserve(size_t NewRow, size_t NewCol); + void reserve(const mdimension && Dim); + void reserve(const mdimension & Dim); + + void clear() noexcept; + + std::vector& operator[](size_t Idx); + + mmatrix& operator+=(mmatrix && Mat); + mmatrix& operator-=(mmatrix && Mat); + mmatrix& operator+=(mmatrix & Mat); + mmatrix& operator-=(mmatrix & Mat); + mmatrix& operator+=(std::vector && Mat); + mmatrix& operator-=(std::vector && Mat); + mmatrix& operator+=(std::vector & Mat); + mmatrix& operator-=(std::vector & Mat); + mmatrix& operator+=(const T Val); + mmatrix& operator-=(const T Val); + + mmatrix operator+(mmatrix && Mat); + mmatrix operator-(mmatrix && Mat); + mmatrix operator+(mmatrix & Mat); + mmatrix operator-(mmatrix & Mat); + mmatrix operator+(std::vector && Mat); + mmatrix operator-(std::vector && Mat); + mmatrix operator+(std::vector & Mat); + mmatrix operator-(std::vector & Mat); + mmatrix operator+(const T Val); + mmatrix operator-(const T Val); + + mmatrix& operator*=(mmatrix && Mat); + mmatrix& operator*=(mmatrix & Mat); + mmatrix& operator*=(std::vector && Mat); + mmatrix& operator*=(std::vector & Mat); + mmatrix& operator*=(const T Val); + mmatrix& operator/=(const T Val); + + mmatrix operator*(mmatrix && Mat); + mmatrix operator*(mmatrix & Mat); + mmatrix operator*(std::vector && Mat); + mmatrix operator*(std::vector & Mat); + mmatrix operator*(const T Val); + mmatrix operator/(const T Val); + + mmatrix& operator=(const mmatrix && Mat); + mmatrix& operator=(const mmatrix & Mat); + + mmatrix transposition(); + void transpose(); + mmatrix entry_mult(mmatrix && Mat); + mmatrix entry_mult(mmatrix & Mat); + mmatrix& equal_entry_mult(mmatrix && Mat); + mmatrix& equal_entry_mult(mmatrix & Mat); + mmatrix vec_entry_mult(std::vector && Mat); + mmatrix vec_entry_mult(std::vector & Mat); + mmatrix& equal_vec_entry_mult(std::vector && Mat); + mmatrix& equal_vec_entry_mult(std::vector & Mat); + + std::string to_string(char Delimiter = ' ', char Separator = '\n', char Border = 0); + + std::vector< std::vector > vector_matrix() const; + mdimension dimension() const; + mdimension size() const; + size_t row_size() const; + size_t col_size() const; + + std::vector& front(); + + typedef typename std::vector< std::vector >::iterator iterator; + iterator begin(); + iterator end(); + + + static mmatrix repmat(mmatrix && Mat, std::size_t Row = 1, std::size_t Col = 1); + static mmatrix repmat(mmatrix & Mat, std::size_t Row = 1, std::size_t Col = 1); + static void transform(mmatrix && Mat, std::function const& func); + static void transform(mmatrix & Mat, std::function const& func); + static void transform(mmatrix && Mat, std::function(mmatrix)> const& func); + static void transform(mmatrix & Mat, std::function(mmatrix)> const& func); + static void transform(mmatrix::iterator MatBegin, mmatrix::iterator MatEnd, std::function const& func); + + static mmatrix maxs(mmatrix && Mat); + static mmatrix maxs(mmatrix & Mat); + static T max(mmatrix && Mat); + static T max(mmatrix & Mat); + static mmatrix mins(mmatrix && Mat); + static mmatrix mins(mmatrix & Mat); + static T min(mmatrix && Mat); + static T min(mmatrix & Mat); + + static mmatrix sums(mmatrix && Mat); + static mmatrix sums(mmatrix & Mat); + static T sum(mmatrix && Mat); + static T sum(mmatrix & Mat); + + static mmatrix covariance(mmatrix && Mat); + static mmatrix covariance(mmatrix & Mat); + static mmatrix reduce_covariance(mmatrix && Mat, std::vector< meigen > && Eigens); + static mmatrix reduce_covariance(mmatrix & Mat, std::vector< meigen > & Eigens); + static mmatrix gramian(mmatrix && Mat); + static mmatrix gramian(mmatrix & Mat); + static T distance(mmatrix && Mat1, mmatrix && Mat2, std::size_t Norm = 2); + static T distance(mmatrix & Mat1, mmatrix & Mat2, std::size_t Norm = 2); + static mmatrix vectorwise_distance(mmatrix && Mat1, mmatrix && Mat2, std::size_t Norm = 2); + static mmatrix vectorwise_distance(mmatrix & Mat1, mmatrix & Mat2, std::size_t Norm = 2); + static mmatrix vectorwise_distance(mmatrix && Mat1, mmatrix && Mat2, std::function)> const& Norm = euclid); + static mmatrix vectorwise_distance(mmatrix & Mat1, mmatrix & Mat2, std::function)> const& Norm = euclid); + + static std::vector< meigen > eigen(mmatrix && Mat, std::size_t VecNo = 0, std::function)> const& Norm = euclid); + static std::vector< meigen > eigen(mmatrix & Mat, std::size_t VecNo = 0, std::function)> const& Norm = euclid); + + static T vector_norm(mmatrix && Vector, std::size_t Norm = 2); + static T vector_norm(mmatrix & Vector, std::size_t Norm = 2); + static T vector_norm(mmatrix && Vector, std::function)> const& Norm); + static T vector_norm(mmatrix & Vector, std::function)> const& Norm); + + static const std::function)> euclid; + static const std::function)> taxicap; + + static mmatrix vector_norms(mmatrix && Matrix, std::size_t Norm = 2); + static mmatrix vector_norms(mmatrix & Matrix, std::size_t Norm = 2); + static mmatrix vector_norms(mmatrix && Matrix, std::function(mmatrix)> const& Norm); + static mmatrix vector_norms(mmatrix & Matrix, std::function(mmatrix)> const& Norm); + + static const std::function(mmatrix)> euclids; + static const std::function(mmatrix)> taxicaps; + + //TODO: lp-norm, infty-norm, cosine distance, hamming distance, edit distance + + static void thread(std::size_t thrd = 1); + static std::size_t thread(); + + private: + static mmatrix l_p_norms(mmatrix && Matrix, std::size_t Norm); + static mmatrix l_p_norms(mmatrix & Matrix, std::size_t Norm); + static mmatrix eucl_norms(mmatrix Matrix); + static mmatrix taxicap_norms(mmatrix Matrix); + static T l_p_norm(mmatrix && Matrix, std::size_t Norm); + static T l_p_norm(mmatrix & Matrix, std::size_t Norm); + static T eucl_norm(mmatrix Matrix); + static T taxicap_norm(mmatrix Matrix); + static mdimension check_length_input(const std::vector< std::vector > & Mat); + static mdimension check_length_input(const std::initializer_list< std::initializer_list > & Mat); + + static T l_p_norm(std::vector & Matrix, std::size_t Norm); +}; + +/*===Variables================================================================*/ + +/*===Prototypes===============================================================*/ + +/*===Main=====================================================================*/ +template +mmatrix::mmatrix(){ + _Dimensions = mdimension(0); +} +template +mmatrix::mmatrix(size_t Row, size_t Col, T Val){ + resize(Row,Col,Val); +} +template +mmatrix::mmatrix(const mdimension & Dim, T Val){ + resize(Dim,Val); +} +template +mmatrix::mmatrix(const mdimension && Dim, T Val){ + resize(Dim,Val); +} +template +mmatrix::mmatrix(const mmatrix && Mat){ + _Matrix = Mat._Matrix; + _Dimensions = Mat._Dimensions; +} +template +mmatrix::mmatrix(const mmatrix & Mat){ + _Matrix = Mat._Matrix; + _Dimensions = Mat._Dimensions; +} +template +mmatrix::mmatrix(const std::vector && Mat){ + push_back(Mat); +} +template +mmatrix::mmatrix(const std::vector & Mat){ + push_back(Mat); +} +template +mmatrix::mmatrix(const std::initializer_list && Mat){ + _Dimensions = mdimension(1,Mat.size()); + _Matrix = std::vector< std::vector >(1); + _Matrix.begin()->insert(_Matrix.begin()->end(),Mat.begin(),Mat.end()); +} +template +mmatrix::mmatrix(const std::initializer_list & Mat){ + _Dimensions = mdimension(1,Mat.size()); + _Matrix = std::vector< std::vector >(1); + _Matrix.begin()->insert(_Matrix.begin()->end(),Mat.begin(),Mat.end()); +} +template +mmatrix::mmatrix(const std::vector< std::vector > && Mat){ + _Dimensions = mmatrix::check_length_input(Mat); + _Matrix = Mat; +} +template +mmatrix::mmatrix(const std::vector< std::vector > & Mat){ + _Dimensions = mmatrix::check_length_input(Mat); + _Matrix = Mat; +} + +template +mmatrix::mmatrix(const std::initializer_list< std::initializer_list > && Mat){ + _Dimensions = mmatrix::check_length_input(Mat); + _Matrix.insert(_Matrix.end(),Mat.begin(),Mat.end()); +} +template +mmatrix::mmatrix(const std::initializer_list< std::initializer_list > & Mat){ + _Dimensions = mmatrix::check_length_input(Mat); + _Matrix.insert(_Matrix.end(),Mat.begin(),Mat.end()); +} + +template +void mmatrix::push_back(const std::vector && Mat){ + push_back(Mat); +} +template +void mmatrix::push_back(const std::vector & Mat){ + push_back_row(Mat); +} +template +void mmatrix::push_back_row(const std::vector && Mat){ + push_back_row(Mat); +} +template +void mmatrix::push_back_row(const std::vector & Mat){ + if(_Dimensions.Col != Mat.size() && _Dimensions.Col != 0){ + throw std::out_of_range("push_back_row: Matrix col-dimensions "+ _Dimensions.to_string() + + " and [1x" + std::to_string(Mat.size()) + "] are not conforming."); + } + if( _Dimensions.Col == 0){ + _Dimensions.Col = Mat.size(); + } + _Matrix.push_back(Mat); + _Dimensions.Row++; +} +template +void mmatrix::push_back_col(const std::vector && Mat){ + push_back_col(Mat); +} +template +void mmatrix::push_back_col(const std::vector & Mat){ + if(_Dimensions.Row != Mat.size() && _Dimensions.Row != 0){ + throw std::out_of_range("push_back_col: Matrix row-dimensions "+ _Dimensions.to_string() + + " and [1x" + std::to_string(Mat.size()) + "] are not conforming."); + } + if(_Dimensions.Row == 0){ + _Dimensions.Row = Mat.size(); + _Matrix.resize(Mat.size()); + } + std::transform(_Matrix.begin(),_Matrix.end(),Mat.begin(),_Matrix.begin(),[](std::vector & Vec, T Val){ + Vec.push_back(Val); + return Vec; + }); + _Dimensions.Col++; +} + +template +void mmatrix::push_back(const mmatrix && Mat){ + push_back_row(Mat); +} + +template +void mmatrix::push_back(const mmatrix & Mat){ + push_back_row(Mat); +} + +template +void mmatrix::push_back_row(const mmatrix && Mat){ + push_back(Mat); +} +template +void mmatrix::push_back_row(const mmatrix & Mat){ + if(_Dimensions.Col != Mat.col_size() && _Dimensions.Col != 0){ + throw std::out_of_range("push_back_row: Matrix col-dimensions "+ _Dimensions.to_string() + + " and " + Mat._Dimensions.to_string() + " are not conforming."); + } + if( _Dimensions.Col == 0){ + _Dimensions.Col = Mat.col_size(); + } + for(std::vector Vec : Mat._Matrix){ + _Matrix.push_back(Vec); + _Dimensions.Row++; + } +} +template +void mmatrix::push_back_col(const mmatrix && Mat){ + push_back_col(Mat); +} +template +void mmatrix::push_back_col(const mmatrix & Mat){ + if(_Dimensions.Row != Mat.row_size() && _Dimensions.Row != 0){ + throw std::out_of_range("push_back_col: Matrix row-dimensions "+ _Dimensions.to_string() + + " and " + Mat._Dimensions.to_string() + " are not conforming."); + } + if(_Dimensions.Row == 0){ + _Dimensions.Row = Mat.row_size(); + _Matrix.resize(Mat.row_size()); + } + for(std::vector MVec : Mat._Matrix){ + std::transform(_Matrix.begin(),_Matrix.end(),MVec.begin(),_Matrix.begin(),[](std::vector & Vec, T Val){ + Vec.push_back(Val); + return Vec; + }); + _Dimensions.Col++; + } +} + +template +void mmatrix::resize(size_t NewSize, T Val){ + resize(mdimension(NewSize,NewSize),Val); +} +template +void mmatrix::resize(size_t NewRow, size_t NewCol, T Val){ + resize(mdimension(NewRow,NewCol),Val); +} +template +void mmatrix::resize(const mdimension && Dim, T Val){ + resize(Dim,Val); +} +template +void mmatrix::resize(const mdimension & Dim, T Val){ + _Matrix.resize(Dim.Row); + std::transform(_Matrix.begin(),_Matrix.end(),_Matrix.begin(),[&Dim, Val](std::vector & Vec){ + Vec.resize(Dim.Col,Val); + return Vec; + }); + _Dimensions = Dim; +} + +template +void mmatrix::reserve(size_t NewSize){ + reserve(mdimension(NewSize,NewSize)); +} +template +void mmatrix::reserve(size_t NewRow, size_t NewCol){ + reserve(mdimension(NewRow,NewCol)); +} +template +void mmatrix::reserve(const mdimension && Dim){ + reserve(Dim); +} +template +void mmatrix::reserve(const mdimension & Dim){ + _Matrix.reserve(Dim.Row); + std::transform(_Matrix.begin(),_Matrix.end(),_Matrix.begin(),[&Dim](std::vector & Vec){ + Vec.reserve(Dim.Col); + return Vec; + }); +} + +template +void mmatrix::clear() noexcept{ + _Matrix.clear(); + _Dimensions = mdimension(0); +} + + +template +std::vector& mmatrix::operator[](size_t Idx){ + return _Matrix[Idx]; +} + +template +mmatrix& mmatrix::operator+=(mmatrix && Mat){ + return operator+=(Mat); +} +template +mmatrix& mmatrix::operator-=(mmatrix && Mat){ + return operator-=(Mat); +} +template +mmatrix& mmatrix::operator+=(mmatrix & Mat){ + if((_Dimensions.Row - Mat._Dimensions.Row) != 0 || (_Dimensions.Row - Mat._Dimensions.Row) != 0){ + throw std::out_of_range("operator+=: Matrix dimensions "+ _Dimensions.to_string() + + Mat._Dimensions.to_string() + " are not conforming."); + } + std::vector * RowsL = &front(); + std::vector * RowsR = &Mat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + T * ValsR = &RowsR[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] += ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return *this; +} +template +mmatrix& mmatrix::operator-=(mmatrix & Mat){ + if((_Dimensions.Row - Mat._Dimensions.Row) != 0 || (_Dimensions.Row - Mat._Dimensions.Row) != 0){ + throw std::out_of_range("operator-=: Matrix dimensions "+ _Dimensions.to_string() + + Mat._Dimensions.to_string() + " are not conforming."); + } + std::vector * RowsL = &front(); + std::vector * RowsR = &Mat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + T * ValsR = &RowsR[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] -= ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return *this; +} +template +mmatrix& mmatrix::operator+=(std::vector && Mat){ + return operator+=(Mat); +} +template +mmatrix& mmatrix::operator-=(std::vector && Mat){ + return operator-=(Mat); +} +template +mmatrix& mmatrix::operator+=(std::vector & Mat){ + if((_Dimensions.Col - Mat.size()) != 0){ + throw std::out_of_range("operator+=: Matrix dimensions "+ _Dimensions.to_string() + + " and [" + std::to_string(Mat.size()) + "x1] are not conforming."); + } + std::vector * RowsL = &front(); + T * ValsR = &Mat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] += ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return *this; +} +template +mmatrix& mmatrix::operator-=(std::vector & Mat){ + if((_Dimensions.Col - Mat.size()) != 0){ + throw std::out_of_range("operator-=: Matrix dimensions "+ _Dimensions.to_string() + + " and [" + std::to_string(Mat.size()) + "x1] are not conforming."); + } + std::vector * RowsL = &front(); + T * ValsR = &Mat.front(); + + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] -= ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return *this; +} +template +mmatrix& mmatrix::operator+=(const T Val){ + std::vector * Rows = &front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * Vals = &Rows[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + Vals[j] += Val; + } + } + #ifdef _OPENMP + } + #endif + return *this; +} +template +mmatrix& mmatrix::operator-=(const T Val){ + std::vector * Rows = &front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * Vals = &Rows[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + Vals[j] -= Val; + } + } + #ifdef _OPENMP + } + #endif + return *this; +} + +template +mmatrix mmatrix::operator+(mmatrix && Mat){ + return operator+(Mat); +} +template +mmatrix mmatrix::operator-(mmatrix && Mat){ + return operator-(Mat); +} +template +mmatrix mmatrix::operator+(mmatrix & Mat){ + if((_Dimensions.Row - Mat._Dimensions.Row) != 0 || (_Dimensions.Row - Mat._Dimensions.Row) != 0){ + throw std::out_of_range("operator+: Matrix dimensions "+ _Dimensions.to_string() + + Mat._Dimensions.to_string() + " are not conforming."); + } + mmatrix NewMat(*this); + std::vector * RowsR = &Mat.front(); + std::vector * RowsL = &NewMat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + T * ValsR = &RowsR[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] += ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} +template +mmatrix mmatrix::operator-(mmatrix & Mat){ + if((_Dimensions.Row - Mat._Dimensions.Row) != 0 || (_Dimensions.Row - Mat._Dimensions.Row) != 0){ + throw std::out_of_range("operator-: Matrix dimensions "+ _Dimensions.to_string() + + Mat._Dimensions.to_string() + " are not conforming."); + } + mmatrix NewMat(*this); + std::vector * RowsR = &Mat.front(); + std::vector * RowsL = &NewMat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + T * ValsR = &RowsR[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] -= ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} +template +mmatrix mmatrix::operator+(std::vector && Mat){ + return operator+(Mat); +} +template +mmatrix mmatrix::operator-(std::vector && Mat){ + return operator-(Mat); +} +template +mmatrix mmatrix::operator+(std::vector & Mat){ + if((_Dimensions.Col - Mat.size()) != 0){ + throw std::out_of_range("operator+=: Matrix dimensions "+ _Dimensions.to_string() + + " and [" + std::to_string(Mat.size()) + "x1] are not conforming."); + } + mmatrix NewMat = mmatrix(*this); + std::vector * RowsL = &NewMat.front(); + T * ValsR = &Mat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] += ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} +template +mmatrix mmatrix::operator-(std::vector & Mat){ + if((_Dimensions.Col - Mat.size()) != 0){ + throw std::out_of_range("operator+=: Matrix dimensions "+ _Dimensions.to_string() + + " and [" + std::to_string(Mat.size()) + "x1] are not conforming."); + } + mmatrix NewMat = mmatrix(*this); + std::vector * RowsL = &NewMat.front(); + T * ValsR = &Mat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] -= ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} +template +mmatrix mmatrix::operator+(const T Val){ + mmatrix NewMat(*this); + std::vector * RowsL = &NewMat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] += Val; + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} +template +mmatrix mmatrix::operator-(const T Val){ + mmatrix NewMat(*this); + std::vector * RowsL = &NewMat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] -= Val; + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} + +template +mmatrix& mmatrix::operator*=(mmatrix && Mat){ + return operator*=(Mat); +} +template +mmatrix& mmatrix::operator*=(mmatrix & Mat){ + _Dimensions *= Mat._Dimensions; + std::vector< std::vector > NewMat(_Dimensions.Row,std::vector(_Dimensions.Col)); + + std::vector * RowsL = &front(); + std::vector * RowsR = &Mat.front(); + std::vector * NewRows = &NewMat.front(); + std::vector Columns(Mat._Matrix.size()); + T **ValsR = &Columns.front(); + + for(std::size_t i = 0; i < Mat._Matrix.size(); i++){ + ValsR[i] = &RowsR[i].front(); + } + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + T * Vals = &NewRows[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + Vals[j] = 0; + for(std::size_t k = 0; k < Columns.size(); k++){ + Vals[j] += ValsL[k] * ValsR[k][j]; + } + } + } + #ifdef _OPENMP + } + #endif + std::swap(_Matrix,NewMat); + return *this; +} +template +mmatrix& mmatrix::operator*=(std::vector && Mat){ + return operator*=(Mat); +} +template +mmatrix& mmatrix::operator*=(std::vector & Mat){ + mmatrix NewMat; + NewMat.push_back(Mat); + return operator*=(NewMat); +} +template +mmatrix& mmatrix::operator*=(const T Val){ + std::vector * Rows = &front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * Vals = &Rows[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + Vals[j] *= Val; + } + } + #ifdef _OPENMP + } + #endif + return *this; + +} +template +mmatrix& mmatrix::operator/=(const T Val){ + std::vector * Rows = &front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * Vals = &Rows[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + Vals[j] /= Val; + } + } + #ifdef _OPENMP + } + #endif + return *this; +} + +template +mmatrix mmatrix::operator*(mmatrix && Mat){ + return operator*(Mat); +} +template +mmatrix mmatrix::operator*(mmatrix & Mat){ + mdimension NewDim = _Dimensions * Mat._Dimensions; + mmatrix NewMat(NewDim); + + std::vector * RowsL = &front(); + std::vector * RowsR = &Mat.front(); + std::vector * NewRows = &NewMat.front(); + std::vector Columns(Mat._Matrix.size()); + T **ValsR = &Columns.front(); + + for(std::size_t i = 0; i < Mat._Matrix.size(); i++){ + ValsR[i] = &RowsR[i].front(); + } + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < NewDim.Row; i++){ + T * ValsL = &RowsL[i].front(); + T * Vals = &NewRows[i].front(); + for(std::size_t j = 0; j < NewDim.Col; j++){ + for(std::size_t k = 0; k < Columns.size(); k++){ + Vals[j] += ValsL[k] * ValsR[k][j]; + } + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} +template +mmatrix mmatrix::operator*(std::vector && Mat){ + return operator*(Mat); +} +template +mmatrix mmatrix::operator*(std::vector & Mat){ + mmatrix NewMat; + NewMat.push_back(Mat); + return operator*(NewMat); +} +template +mmatrix mmatrix::operator*(const T Val){ + mmatrix NewMat(*this); + std::vector * RowsL = &NewMat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] *= Val; + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} +template +mmatrix mmatrix::operator/(const T Val){ + mmatrix NewMat(*this); + std::vector * RowsL = &NewMat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] /= Val; + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} + +template +mmatrix& mmatrix::operator=(const mmatrix && Mat){ + return operator=(Mat); +} +template +mmatrix& mmatrix::operator=(const mmatrix & Mat){ + _Dimensions = Mat._Dimensions; + _Matrix = Mat._Matrix; + return *this; +} + +template +mmatrix mmatrix::transposition(){ + mdimension NewDim(_Dimensions.Col,_Dimensions.Row); + mmatrix NewMat(NewDim); + + std::vector * RowsL = &NewMat.front(); + std::vector * RowsR = &front(); + std::vector Columns(_Matrix.size()); + T **ValsR = &Columns.front(); + + for(std::size_t i = 0; i < _Matrix.size(); i++){ + ValsR[i] = &RowsR[i].front(); + } + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < NewDim.Row; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < NewDim.Col; j++){ + ValsL[j] = ValsR[j][i]; + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} +template +void mmatrix::transpose(){ + std::vector< std::vector > NewMat(_Dimensions.Col,std::vector(_Dimensions.Row)); + + std::vector * RowsL = &NewMat.front(); + std::vector * RowsR = &front(); + std::vector Columns(_Matrix.size()); + T **ValsR = &Columns.front(); + + for(std::size_t i = 0; i < _Matrix.size(); i++){ + ValsR[i] = &RowsR[i].front(); + } + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Col; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < _Dimensions.Row; j++){ + ValsL[j] = ValsR[j][i]; + } + } + #ifdef _OPENMP + } + #endif + _Dimensions.swap(); + std::swap(_Matrix,NewMat); +} +template +mmatrix mmatrix::entry_mult(mmatrix && Mat){ + if((_Dimensions.Row - Mat._Dimensions.Row) != 0 || (_Dimensions.Row - Mat._Dimensions.Row) != 0){ + throw std::out_of_range("entry_mult: Matrix dimensions "+ _Dimensions.to_string() + +" and "+ Mat._Dimensions.to_string() + " are not conforming."); + } + return entry_mult(Mat); +} +template +mmatrix mmatrix::entry_mult(mmatrix & Mat){ + if((_Dimensions.Row - Mat._Dimensions.Row) != 0 || (_Dimensions.Row - Mat._Dimensions.Row) != 0){ + throw std::out_of_range("entry_mult: Matrix dimensions "+ _Dimensions.to_string() + +" and "+ Mat._Dimensions.to_string() + " are not conforming."); + } + mmatrix NewMat(*this); + std::vector * RowsR = &Mat.front(); + std::vector * RowsL = &NewMat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + T * ValsR = &RowsR[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] *= ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} +template +mmatrix& mmatrix::equal_entry_mult(mmatrix && Mat){ + if((_Dimensions.Row - Mat._Dimensions.Row) != 0 || (_Dimensions.Row - Mat._Dimensions.Row) != 0){ + throw std::out_of_range("equal_entry_mult: Matrix dimensions "+ _Dimensions.to_string() + +" and "+ Mat._Dimensions.to_string() + " are not conforming."); + } + return equal_entry_mult(Mat); +} +template +mmatrix& mmatrix::equal_entry_mult(mmatrix & Mat){ + if((_Dimensions.Row - Mat._Dimensions.Row) != 0 || (_Dimensions.Row - Mat._Dimensions.Row) != 0){ + throw std::out_of_range("equal_entry_mult: Matrix dimensions "+ _Dimensions.to_string() + +" and "+ Mat._Dimensions.to_string() + " are not conforming."); + } + std::vector * RowsL = &front(); + std::vector * RowsR = &Mat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + T * ValsR = &RowsR[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] *= ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return *this; +} + +template +mmatrix mmatrix::vec_entry_mult(std::vector && Mat){ + if(_Dimensions.Row != Mat.size()){ + throw std::out_of_range("vec_entry_mult: Matrix dimensions "+ _Dimensions.to_string() + +" and " + Mat._Dimensions.to_string() + " are not conforming."); + } + return entry_mult(Mat); +} +template +mmatrix mmatrix::vec_entry_mult(std::vector & Mat){ + if(_Dimensions.Row != Mat.size()){ + throw std::out_of_range("vec_entry_mult: Matrix dimensions "+ _Dimensions.to_string() + + " and [" + std::to_string(Mat.size()) + "x1] are not conforming."); + } + mmatrix NewMat(*this); + std::vector * RowsL = &NewMat.front(); + T * ValsR = &Mat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] *= ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return NewMat; +} +template +mmatrix& mmatrix::equal_vec_entry_mult(std::vector && Mat){ + if(_Dimensions.Row != Mat.size()){ + throw std::out_of_range("equal_entry_mult: Matrix dimensions "+ _Dimensions.to_string() + +" and " + std::to_string(Mat.size()) + " are not conforming."); + } + return equal_entry_mult(Mat); +} +template +mmatrix& mmatrix::equal_vec_entry_mult(std::vector & Mat){ + if(_Dimensions.Row != Mat.size()){ + throw std::out_of_range("equal_entry_mult: Matrix dimensions "+ _Dimensions.to_string() + +" and " + std::to_string(Mat.size()) + " are not conforming."); + } + std::vector * RowsL = &front(); + T * ValsR = &Mat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < _Dimensions.Row; i++){ + T * ValsL = &RowsL[i].front(); + for(std::size_t j = 0; j < _Dimensions.Col; j++){ + ValsL[j] *= ValsR[j]; + } + } + #ifdef _OPENMP + } + #endif + return *this; +} + +template +std::string mmatrix::to_string(char Delimiter, char Separator, char Border){ + std::string MatStr; + for(auto & Row : _Matrix){ + if(Border != 0){ + MatStr += Border; + } + for(auto & Sgn : Row){ + MatStr += std::to_string(Sgn) + Delimiter; + } + if(Border != 0){ + MatStr[MatStr.size()-1] = Border; + } + else{ + MatStr.pop_back(); + } + MatStr += Separator; + } + if(MatStr.size() > 0){ + MatStr.pop_back(); + } + return MatStr; +} + +template +std::vector< std::vector > mmatrix::vector_matrix() const{ + return _Matrix; +} +template +mdimension mmatrix::dimension() const{ + return _Dimensions; +} +template +mdimension mmatrix::size() const{ + return _Dimensions; +} +template +size_t mmatrix::row_size() const{ + return _Dimensions.Row; +} +template +size_t mmatrix::col_size() const{ + return _Dimensions.Col; +} + +template +std::vector& mmatrix::front(){ + return _Matrix.front(); +} + +template +typename std::vector< std::vector >::iterator mmatrix::begin(){ + return _Matrix.begin(); +} +template +typename std::vector< std::vector >::iterator mmatrix::end(){ + return _Matrix.end(); +} + +/*---static-------------------------------------------------------------------*/ +template +mmatrix mmatrix::repmat(mmatrix && Mat, std::size_t Row, std::size_t Col){ + return repmat(Mat, Row, Col); +} +template +mmatrix mmatrix::repmat(mmatrix & Mat, std::size_t Row, std::size_t Col){ + mmatrix RepMat(Mat); + if(Row == 0 || Col == 0){ + throw std::out_of_range("repmat: column and row count has to be non-zero."); + } + RepMat._Dimensions = mdimension(Mat._Dimensions.Row*Row,Mat._Dimensions.Col*Col); + + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Mat.row_size(); i++){ + for(std::size_t j = 1; j < Col; j++){ + RepMat[i].insert(RepMat[i].end(),Mat[i].begin(),Mat[i].end()); + } + } + #ifdef _OPENMP + } + #endif + + RepMat._Matrix.resize(Mat.row_size()*Row); + + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = Mat.row_size(); i < RepMat.row_size(); i++){ + RepMat[i] = RepMat[i%Mat.row_size()]; + } + #ifdef _OPENMP + } + #endif + + return RepMat; +} + +template +void mmatrix::transform(mmatrix && Mat, std::function const& func){ + transform(Mat, func); +} +template +void mmatrix::transform(mmatrix & Mat, std::function const& func){ + for(std::size_t i = 0; i < Mat.row_size(); i++){ + for(std::size_t j = 0; j < Mat.col_size(); j++){ + Mat[i][j] = func(Mat[i][j]); + } + } +} +template +void mmatrix::transform(mmatrix::iterator MatBegin, mmatrix::iterator MatEnd, std::function const& func){ + for(mmatrix::iterator iter = MatBegin; iter != MatEnd; iter++){ + for(typename std::vector::iterator jter = iter->begin(); jter != iter->end(); jter++){ + *jter = func(*jter); + } + } +} + + +template +mmatrix mmatrix::maxs(mmatrix && Mat){ + return maxs(Mat); +} +template +mmatrix mmatrix::maxs(mmatrix & Mat){ + if(Mat.row_size() == 0 || Mat.row_size() == 0){ + throw std::out_of_range("max: column and row count has to be non-zero."); + } + mmatrix Max(1,Mat.row_size()); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Mat.row_size(); i++){ + Max[0][i] = *std::max_element(Mat[i].begin(),Mat[i].end()); + } + #ifdef _OPENMP + } + #endif + return Max; +} +template +T mmatrix::max(mmatrix && Mat){ + return max(Mat); +} +template +T mmatrix::max(mmatrix & Mat){ + if(Mat.row_size() == 0 || Mat.row_size() == 0){ + throw std::out_of_range("max: column and row count has to be non-zero."); + } + T Max = *std::max_element(Mat[0].begin(),Mat[0].end()); + #ifdef _OPENMP + #pragma omp parallel reduction(max:Max) + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Mat.row_size(); i++){ + #ifdef _OPENMP + Max = *std::max_element(Mat[i].begin(),Mat[i].end()); + #else + Max = max(Max,*std::max_element(Mat[i].begin(),Mat[i].end())); + #endif + } + #ifdef _OPENMP + } + #endif + return Max; +} +template +mmatrix mmatrix::mins(mmatrix && Mat){ + return mins(Mat); +} +template +mmatrix mmatrix::mins(mmatrix & Mat){ + if(Mat.row_size() == 0 || Mat.row_size() == 0){ + throw std::out_of_range("min: column and row count has to be non-zero."); + } + mmatrix Min(1,Mat.row_size()); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Mat.row_size(); i++){ + Min[0][i] = *std::min_element(Mat[i].begin(),Mat[i].end()); + } + #ifdef _OPENMP + } + #endif + return Min; +} +template +T mmatrix::min(mmatrix && Mat){ + return min(Mat); +} +template +T mmatrix::min(mmatrix & Mat){ + if(Mat.row_size() == 0 || Mat.row_size() == 0){ + throw std::out_of_range("max: column and row count has to be non-zero."); + } + T Min = *std::min_element(Mat[0].begin(),Mat[0].end()); + #ifdef _OPENMP + #pragma omp parallel reduction(min:Min) + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Mat.row_size(); i++){ + #ifdef _OPENMP + Min = *std::min_element(Mat[i].begin(),Mat[i].end()); + #else + Min = min(Min,*std::min_element(Mat[i].begin(),Mat[i].end())); + #endif + } + #ifdef _OPENMP + } + #endif + return Min; +} +template +mmatrix mmatrix::sums(mmatrix && Mat){ + return sums(Mat); +} +template +mmatrix mmatrix::sums(mmatrix & Mat){ + if(Mat.row_size() == 0 || Mat.row_size() == 0){ + throw std::out_of_range("sum: column and row count has to be non-zero."); + } + mmatrix Sum(1,Mat.row_size()); + T * Vec = &Sum[0].front(); + std::vector * MatVec = &Mat.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Mat.row_size(); i++){ + T * MVec = &MatVec[i].front(); + T Sum(0); + for(std::size_t j = 0; j < Mat.col_size(); j++){ + Sum += MVec[j]; + } + Vec[i] = Sum; + } + #ifdef _OPENMP + } + #endif + return Sum; +} +template +T mmatrix::sum(mmatrix && Mat){ + sum(Mat); +} +template +T mmatrix::sum(mmatrix & Mat){ + if(Mat.row_size() == 0 || Mat.row_size() == 0){ + throw std::out_of_range("sum: column and row count has to be non-zero."); + } + T Sum = T(); + std::vector * MatVec = &Mat.front(); + #ifdef _OPENMP + #pragma omp parallel reduction(+:Sum) + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Mat.row_size(); i++){ + T * MVec = &MatVec[i].front(); + for(std::size_t j = 0; j < Mat.col_size(); j++){ + Sum += MVec[j]; + } + } + #ifdef _OPENMP + } + #endif + return Sum; +} + +template +void mmatrix::transform(mmatrix && Mat, std::function(mmatrix)> const& func){ + Mat = func(Mat); +} +template +void mmatrix::transform(mmatrix & Mat, std::function(mmatrix)> const& func){ + Mat = func(Mat); +} + +template +mmatrix mmatrix::covariance(mmatrix && Mat){ + return covariance(Mat); +} +template +mmatrix mmatrix::covariance(mmatrix & Mat){ + std::vector MeanVec(Mat._Dimensions.Col,T()); + mmatrix CovMat = Mat; + + std::vector * Rows = &Mat.front(); + T * MeanCol = &MeanVec.front(); + + for(std::size_t i = 0; i < Mat._Matrix.size(); i++){ + #ifdef _OPENMP + #pragma omp parallel + { + T * Vals = &Rows[i].front(); + #pragma omp for nowait + #endif + for(std::size_t j = 0; j < Mat._Dimensions.Col; j++){ + MeanCol[j] += Vals[j]; + } + #ifdef _OPENMP + } + #endif + } + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Mat._Dimensions.Col; i++){ + MeanCol[i] /= Mat._Dimensions.Row; + } + #ifdef _OPENMP + } + #endif + + CovMat -= MeanVec; + if(Mat._Dimensions.Row > 1){ + CovMat = CovMat.transposition()*CovMat/(Mat._Dimensions.Row-1); + } + else{ + CovMat = CovMat.transposition()*CovMat/Mat._Dimensions.Row; + } + return CovMat; +} +//Reduces e.g. covariance matrix by impact of the submitted eigen-vector-value pair. +//This is used to get the next eigen-vector-value pair from e.g. covariance matrix. +template +mmatrix mmatrix::reduce_covariance(mmatrix && Mat, std::vector< meigen > && Eigens){ + return reduce_covariance(Mat, Eigens); +} +template +mmatrix mmatrix::reduce_covariance(mmatrix & Mat, std::vector< meigen > & Eigens){ + mmatrix CovMat = Mat; + for(meigen Eigen : Eigens){ + Mat -= Eigen.vector().transposition()*Eigen.vector()*Eigen.value(); + } + return CovMat; +} + +template +mmatrix mmatrix::gramian(mmatrix && Mat){ + gramian(Mat); +} +template +mmatrix mmatrix::gramian(mmatrix & Mat){ + if(Mat.row_size() != Mat.col_size()){ + throw std::out_of_range("gramian: Matrix has to be square matix, but it is "+Mat.size().to_string()+"."); + } + mmatrix GramianMat = Mat.entry_mult(Mat); + std::vector RowMean(GramianMat.row_size(),T()), ColMean(GramianMat.col_size(),T()); + + T * RMean = &RowMean.front(); + T * CMean = &ColMean.front(); + + std::vector * GMat = &GramianMat.front(); + + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < GramianMat.row_size(); i++){ + T * GVec = &GMat[i].front(); + for(std::size_t j = 0; j < GramianMat.col_size(); j++){ + RMean[i] += GVec[j]; + } + } + #ifdef _OPENMP + } + #endif + + for(std::size_t i = 0; i < GramianMat.row_size(); i++){ + #ifdef _OPENMP + #pragma omp parallel + { + T * GVec = &GMat[i].front(); + #pragma omp for nowait + #endif + for(std::size_t j = 0; j < GramianMat.col_size(); j++){ + CMean[j] += GVec[j]; + } + #ifdef _OPENMP + } + #endif + } + + T TotalMean = T(); + for(std::size_t i = 0; i < RowMean.size(); i++){ + TotalMean += RowMean[i]; + } + + + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < RowMean.size(); i++){ + RMean[i] /= RowMean.size(); + CMean[i] /= RowMean.size(); + } + #ifdef _OPENMP + } + #endif + TotalMean /= GramianMat.row_size()*GramianMat.row_size(); + + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < GramianMat.row_size(); i++){ + T * GVec = &GMat[i].front(); + for(std::size_t j = 0; j < GramianMat.col_size(); j++){ + GVec[j] = -0.5*(GVec[j] -RMean[i] - CMean[j] +TotalMean); + } + } + #ifdef _OPENMP + } + #endif + + return GramianMat; +} +template +T mmatrix::distance(mmatrix && Mat1, mmatrix && Mat2, std::size_t Norm){ + return distance(Mat1, Mat2, Norm); +} +template +T mmatrix::distance(mmatrix & Mat1, mmatrix & Mat2, std::size_t Norm){ + if(Mat1.col_size() != Mat2.col_size()){ + throw std::out_of_range("distance: Matrix1 dimension (" + Mat1.dimension().to_string() + ") != Matrix2 dimension (" + Mat1.dimension().to_string() + ")"); + } + T Dist = T(); + #ifdef _OPENMP + #pragma omp parallel reduction(+:Dist) + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Mat1.row_size(); i++){ + for(std::size_t j = 0; j < Mat1.col_size(); j++){ + Dist += std::pow(std::abs(Mat1[i][j] - Mat2[i][j]),Norm); + } + } + #ifdef _OPENMP + } + #endif + Dist = std::pow(Dist, (1.0/Norm)); + return Dist; +} +template +mmatrix mmatrix::vectorwise_distance(mmatrix && Mat1, mmatrix && Mat2, std::size_t Norm){ + return vectorwise_distance(Mat1, Mat2, Norm); +} +template +mmatrix mmatrix::vectorwise_distance(mmatrix & Mat1, mmatrix & Mat2, std::size_t Norm){ + if(Mat1.col_size() != Mat2.col_size()){ + throw std::out_of_range("distance: Matrix1 col_size (" + std::to_string(Mat1.col_size()) + ") != Matrix2 col_size (" + std::to_string(Mat2.col_size()) + ")"); + } + mmatrix DistMat(Mat1.row_size(), Mat2.row_size()); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Mat1.row_size(); i++){ + mmatrix M(Mat1[i]); + for(std::size_t j = i+1; j < Mat2.row_size(); j++){ + DistMat[i][j] = l_p_norm(M-Mat2[j],Norm); + DistMat[j][i] = DistMat[i][j]; + } + } + #ifdef _OPENMP + } + #endif + return DistMat; +} +template +mmatrix mmatrix::vectorwise_distance(mmatrix && Mat1, mmatrix && Mat2, std::function)> const& Norm){ + return vectorwise_distance(Mat1, Mat2, Norm); +} +template +mmatrix mmatrix::vectorwise_distance(mmatrix & Mat1, mmatrix & Mat2, std::function)> const& Norm){ + if(Mat1.col_size() != Mat2.col_size()){ + throw std::out_of_range("distance: Matrix1 col_size (" + std::to_string(Mat1.col_size()) + ") != Matrix2 col_size (" + std::to_string(Mat2.col_size()) + ")"); + } + mmatrix DistMat(Mat1.row_size(), Mat2.row_size()); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Mat1.row_size(); i++){ + mmatrix M(Mat1[i]); + for(std::size_t j = 0; j < Mat2.row_size(); j++){ + DistMat[i][j] = Norm(M-Mat2[j]); + } + } + #ifdef _OPENMP + } + #endif + return DistMat; +} + +template +std::vector< meigen > mmatrix::eigen(mmatrix && Mat, std::size_t VecNo, std::function)> const& Norm){ + return eigen(Mat, VecNo, Norm); +} +template +std::vector< meigen > mmatrix::eigen(mmatrix & Mat, std::size_t VecNo, std::function)> const& Norm){ + if(VecNo == 0){ + VecNo = Mat.row_size(); + } + + std::vector< meigen > Eigens = std::vector< meigen >(VecNo); + mmatrix EigenMat = Mat; + + if(VecNo > EigenMat.row_size()){ + throw std::out_of_range("eigen: Matrix dimension is "+ Mat._Dimensions.to_string() + + ", therefore number of "+ std::to_string(VecNo)+" eigen vectors is to high."); + } + + for(std::size_t i = 0; i < VecNo; i++){ + Eigens[i] = meigen::power_iteration(EigenMat, Norm); + EigenMat -= Eigens[i].vector().transposition()*Eigens[i].vector()*Eigens[i].value(); + } + return Eigens; +} + + +template +T mmatrix::vector_norm(mmatrix && Vector, std::size_t LPNorm){ + return vector_norm(Vector, LPNorm); +} +template +T mmatrix::vector_norm(mmatrix & Vector, std::size_t LPNorm){ + return l_p_norm(Vector, LPNorm); +} +template +T mmatrix::vector_norm(mmatrix && Vector, std::function)> const& Norm){ + return vector_norm(Vector, Norm); +} +template +T mmatrix::vector_norm(mmatrix & Vector, std::function)> const& Norm){ + return Norm(Vector); +} + +template +T mmatrix::l_p_norm(mmatrix && Matrix, std::size_t Norm){ + return l_p_norm(Matrix,Norm); +} +template +T mmatrix::l_p_norm(mmatrix & Matrix, std::size_t Norm){ + if(Matrix.row_size() != 1){ + throw std::out_of_range("l_p_norm: Matrix not in vector format; row dimension must be one."); + } + T UnSqr = std::accumulate(Matrix.begin()->begin(),Matrix.begin()->end(), T(), [&Norm](T & SumPart, T & Element){ + return SumPart + std::pow(std::abs(Element),Norm); + }); + return std::pow(UnSqr, 1.0/(double)Norm); +} +//TODO: solution to use reference of Matrix +template +T mmatrix::eucl_norm(mmatrix Matrix){ + return l_p_norm(Matrix, 2); +} +template +T mmatrix::taxicap_norm(mmatrix Matrix){ + return l_p_norm(Matrix, 1); +} +template +const std::function)> mmatrix::euclid = &mmatrix::eucl_norm; +template +const std::function)> mmatrix::taxicap = &mmatrix::taxicap_norm; + + +template +mmatrix mmatrix::vector_norms(mmatrix && Matrix, std::size_t Norm){ + return vector_norms(Matrix); +} +template +mmatrix mmatrix::vector_norms(mmatrix & Matrix, std::size_t Norm){ + return l_p_norms(Matrix,Norm); +} +template +mmatrix mmatrix::vector_norms(mmatrix && Matrix, std::function(mmatrix)> const& Norm){ + return vector_norms(Matrix, Norm); +} +template +mmatrix mmatrix::vector_norms(mmatrix & Matrix, std::function(mmatrix)> const& Norm){ + return Norm(Matrix); +} +template +mmatrix mmatrix::l_p_norms(mmatrix && Matrix, std::size_t Norm){ + return l_p_norms(Matrix, Norm); +} +template +mmatrix mmatrix::l_p_norms(mmatrix & Matrix, std::size_t Norm){ + mmatrix Norms(1,Matrix.row_size()); + T * NormVec = &Norms.begin()->front(); + std::vector * MVec = &Matrix.front(); + #ifdef _OPENMP + #pragma omp parallel + { + #pragma omp for nowait + #endif + for(std::size_t i = 0; i < Matrix.row_size(); i++){ + T UnSqr = std::accumulate(MVec[i].begin(),MVec[i].end(), T(), [&Norm](T & SumPart, T & Element){ + return SumPart + std::pow(std::abs(Element),Norm); + }); + NormVec[i] = std::pow(UnSqr, 1.0/(double)Norm); + } + #ifdef _OPENMP + } + #endif + return Norms; +} +//TODO: solution to use reference of Matrix +template +mmatrix mmatrix::eucl_norms(mmatrix Matrix){ + return l_p_norms(Matrix, 2); +} +template +mmatrix mmatrix::taxicap_norms(mmatrix Matrix){ + return l_p_norms(Matrix, 1); +} +template +const std::function(mmatrix)> mmatrix::euclids = &mmatrix::eucl_norms; +template +const std::function(mmatrix)> mmatrix::taxicaps = &mmatrix::taxicap_norms; + + +template +mdimension mmatrix::check_length_input(const std::vector< std::vector > & Mat){ + mdimension MatDim; + if(Mat.size() != 0){ + MatDim = mdimension(Mat.size(),Mat.begin()->size()); + for(auto iter = Mat.begin(); iter < Mat.end(); iter++){ + if(iter->size() != MatDim.Col){ + throw std::out_of_range("check_length_input: Column dimensions of submitted vector matrix are not conforming."); + } + } + } + else{ + throw std::out_of_range("check_length_input: Empty matrix submitted."); + } + return MatDim; +} + +template +mdimension mmatrix::check_length_input(const std::initializer_list< std::initializer_list > & Mat){ + mdimension MatDim; + if(Mat.size() != 0){ + MatDim = mdimension(Mat.size(),Mat.begin()->size()); + for(auto iter = Mat.begin(); iter < Mat.end(); iter++){ + if(iter->size() != MatDim.Col){ + throw std::out_of_range("check_length_input: Column dimensions of submitted vector matrix are not conforming."); + } + } + } + else{ + throw std::out_of_range("check_length_input: Empty matrix submitted."); + } + return MatDim; +} + +template +std::size_t mmatrix::threadNumber = 2; + +template +void mmatrix::thread(std::size_t thrd){ + threadNumber = thrd; + #ifdef _OPENMP + omp_set_dynamic(0); + omp_set_num_threads(threadNumber); + #endif +} + +template +std::size_t mmatrix::thread(){ + return threadNumber; +} + +#endif \ No newline at end of file diff --git a/test/debug.cpp b/test/debug.cpp new file mode 100755 index 0000000..f72d142 --- /dev/null +++ b/test/debug.cpp @@ -0,0 +1,215 @@ +/*===Libraries================================================================*/ +#include +#include +#include +#include +#include +#include + +#include "../src/mmatrix.hpp" +#include "../src/mining.hpp" +#include "../src/learning.hpp" +#include "../src/clustering.hpp" + +/*===Classes-Structurres======================================================*/ + +/*===Variables================================================================*/ + +/*===Prototypes===============================================================*/ +void debug_kmeans(); +void debug_pca(); +void debug_mds(); +void debug_matrix(); + +void split(const std::string &s, char delim, std::vector &elems); +std::vector split(const std::string &s, char delim); + + +/*===Main=====================================================================*/ +int main(){ + debug_kmeans(); + //debug_matrix(); + //debug_pca(); + //debug_mds(); + + return 0; +} + + +/*---clustering-------------------------------------------------------------*/ +void debug_kmeans(){ + mmatrix DataMat; + std::vector data; + std::string Line; + std::size_t K; + + std::ifstream Input("data-test/Cluster.dat"); + if(Input.is_open()){ + while(std::getline(Input,Line)){ + if(Line.size() != 0){ + data = split(Line, ' '); + DataMat.push_back(data); + } + } + } + Input.close(); + + K = 4; + data_learning::clustering::kmeans KMeans = data_learning::clustering::kmeans(DataMat,K); + + std::ofstream Output("data-test/Cls_ErrDev.dat"); + std::vector ErrDev = KMeans.clustering(); + for(std::size_t i = 0; i < ErrDev.size(); i++){ + Output << ErrDev[i] << std::endl; + } + Output.close(); + + Output = std::ofstream("data-test/clustered.dat"); + std::vector< mmatrix > Clusters = KMeans.clusters(); + for(std::size_t i = 0; i < Clusters.size(); i++){ + Output << Clusters[i].to_string() << std::endl << std::endl; + } + Output.close(); +} + + + +/*---data-mining------------------------------------------------------------*/ +void debug_pca(){ + mmatrix DataMat, EigSpec, PrinComp, EigenVectors; + std::vector data; + std::string Line; + + std::ifstream Input("data-test/Hidden1.dat"); + while(!Input.eof()){ + std::getline(Input,Line); + data = split(Line, ' '); + if(data.size() != 0){ + DataMat.push_back(data); + } + } + Input.close(); + + + data_learning::mining::pca PCA = data_learning::mining::pca(DataMat); + + unsigned EigNumb = 10; + + std::ofstream Output("data-test/EigenSpectum_PCA.dat"); + EigSpec = PCA.eigen_spectrum(); + for(unsigned i = 0; i < EigSpec.col_size(); i++){ + Output << EigSpec[0][i] << std::endl; + } + Output.close(); + + Output = std::ofstream("data-test/PrincipleComponents_PCA.dat"); + PrinComp = PCA.principle_components(EigNumb); + for(unsigned i = 0; i < PrinComp.row_size(); i++){ + for(unsigned j = 0; j < PrinComp.col_size()-1; j++){ + Output << PrinComp[i][j] << "\t"; + } + Output << PrinComp[i][PrinComp.col_size()-1] << std::endl; + } + Output.close(); + + Output = std::ofstream("data-test/Loadings_PCA.dat"); + EigenVectors = PCA.loadings(); + for(unsigned i = 0; i < EigenVectors.row_size(); i++){ + for(unsigned j = 0; j < EigenVectors.col_size()-1; j++){ + Output << EigenVectors[i][j] << "\t"; + } + Output << EigenVectors[i][EigenVectors.col_size()-1] << std::endl; + } + Output.close(); +} + +void debug_mds(){ + mmatrix DataMat, EigSpec, PrinComp; + std::vector data; + std::string Line; + + mmatrix::thread(4); + + std::ifstream Input("data-test/Hidden.dat"); + while(!Input.eof()){ + std::getline(Input,Line); + data = split(Line, ' '); + if(data.size() != 0){ + DataMat.push_back(data); + } + } + Input.close(); + + data_learning::mining::mds MDS = data_learning::mining::mds(DataMat); + + std::ofstream Output("data-test/EigenSpectum_MDS.dat"); + EigSpec = MDS.eigen_spectrum(2); + for(unsigned i = 0; i < EigSpec.col_size(); i++){ + Output << EigSpec[0][i] << std::endl; + } + Output.close(); + + Output = std::ofstream("data-test/PrincipleComponents_MDS.dat"); + PrinComp = MDS.principle_components(2); + for(unsigned i = 0; i < PrinComp.row_size(); i++){ + for(unsigned j = 0; j < PrinComp.col_size()-1; j++){ + Output << PrinComp[i][j] << "\t"; + } + Output << PrinComp[i][PrinComp.col_size()-1] << std::endl; + } + Output.close(); +} + +/*---Auxilliary---------------------------------------------------------------*/ +void debug_matrix(){ + mmatrix Mat1 = {{1,2,3},{4,5,6},{7,8,9}}; + mmatrix Mat2 = {{0,1,2},{3,4,5},{6,7,8}}; + mmatrix Vec1 = {10.0,11.0,12.0}; + std::vector Vec2 = {11.0,12.0,13.0}; + double factor = 3; + + std::cout << "Matrix 1:\n" << Mat1.to_string() << "\nMatrix2:\n" << Mat2.to_string() << std::endl << std::endl; + std::cout << "Vec 1:\n" << Vec1.to_string() << "\nVec2:\n"; + for(auto Val : Vec2){ + std::cout << Val << " "; + } + std::cout << std::endl << std::endl; + + std::cout << "M1+ M2 : \n" << (Mat1+Mat2).to_string() << std::endl << std::endl; + Mat1 += Mat2; + std::cout << "M1+=M2 : \n" << Mat1.to_string() << std::endl << std::endl; + std::cout << "M1- M2 : \n" << (Mat1-Mat2).to_string() << std::endl << std::endl; + Mat1 -= Mat2; + std::cout << "M1-=M2 : \n" << Mat1.to_string() << std::endl << std::endl; + + std::cout << "M1* M2 : \n" << (Mat1*Mat2).to_string() << std::endl << std::endl; + Mat1 *= Mat2; + std::cout << "M1* " << factor << " : \n" << (Mat1*factor).to_string() << std::endl << std::endl; + Mat1 *= factor; + std::cout << "M1*=" << factor << " : \n" << Mat1.to_string() << std::endl << std::endl; + + std::cout << "M1* V1': \n" << (Mat1*Vec1.transposition()).to_string() << std::endl << std::endl; + std::cout << "M1* V2 : \n" << (Mat1*Vec2).to_string() << std::endl << std::endl; + Mat1 *= Vec1.transposition(); + std::cout << "M1*=V1 : \n" << Mat1.to_string() << std::endl << std::endl; + Mat1.transpose(); + Mat1 *= Vec2; + std::cout << "M1'*=V2 : \n" << Mat1.to_string() << std::endl << std::endl; +} + + +void split(const std::string &s, char delim, std::vector &elems){ + std::stringstream ss; + ss.str(s); + std::string item; + while (std::getline(ss, item, delim)) { + if(item.empty() == false){ + elems.push_back(std::stof(item)); + } + } +} +std::vector split(const std::string &s, char delim){ + std::vector elems; + split(s, delim, elems); + return elems; +} diff --git a/test/debug_cluster.cpp b/test/debug_cluster.cpp new file mode 100755 index 0000000..35e7f91 --- /dev/null +++ b/test/debug_cluster.cpp @@ -0,0 +1,179 @@ +/*===Libraries================================================================*/ +#include +#include +#include +#include +#include +#include + +#include "../src/mmatrix.hpp" +#include "../src/mining.hpp" +#include "../src/learning.hpp" +#include "../src/clustering.hpp" + +/*===Classes-Structurres======================================================*/ + +/*===Variables================================================================*/ + +/*===Prototypes===============================================================*/ +void debug_kmeans(); +void debug_pca(); +void debug_mds(); + +void split(const std::string &s, char delim, std::vector &elems); +std::vector split(const std::string &s, char delim); + + +/*===Main=====================================================================*/ +int main(){ + //debug_kmeans(); + //debug_matrix(); + debug_pca(); + //debug_mds(); + + return 0; +} + + +/*---clustering-------------------------------------------------------------*/ +void debug_kmeans(){ + mmatrix DataMat; + std::vector data; + std::string Line; + std::size_t K; + + std::ifstream Input("data-test/Cluster.dat"); + if(Input.is_open()){ + while(std::getline(Input,Line)){ + if(Line.size() != 0){ + data = split(Line, ' '); + DataMat.push_back(data); + } + } + } + Input.close(); + + K = 4; + data_learning::clustering::kmeans KMeans = data_learning::clustering::kmeans(DataMat,K); + + std::ofstream Output("data-test/Cls_ErrDev.dat"); + std::vector ErrDev = KMeans.clustering(); + for(std::size_t i = 0; i < ErrDev.size(); i++){ + Output << ErrDev[i] << std::endl; + } + Output.close(); + + Output = std::ofstream("data-test/clustered.dat"); + std::vector< mmatrix > Clusters = KMeans.clusters(); + for(std::size_t i = 0; i < Clusters.size(); i++){ + Output << Clusters[i].to_string() << std::endl << std::endl; + } + Output.close(); +} + + + +/*---data-mining------------------------------------------------------------*/ +void debug_pca(){ + mmatrix DataMat, EigSpec, PrinComp, EigenVectors; + std::vector data; + std::string Line; + + std::ifstream Input("test_data/Hidden2.dat"); + while(!Input.eof()){ + std::getline(Input,Line); + data = split(Line, ' '); + if(data.size() != 0){ + DataMat.push_back(data); + } + } + Input.close(); + + data_learning::mining::pca PCA = data_learning::mining::pca(DataMat); + + unsigned EigNumb = 10; + + + std::ofstream Output("test_data/EigenSpectum_PCA.dat"); + EigSpec = PCA.eigen_spectrum(); + for(unsigned i = 0; i < EigSpec.col_size(); i++){ + Output << EigSpec[0][i] << std::endl; + } + Output.close(); + + Output = std::ofstream("test_data/PrincipleComponents_PCA.dat"); + PrinComp = PCA.principle_components(EigNumb); + for(unsigned i = 0; i < PrinComp.row_size(); i++){ + for(unsigned j = 0; j < PrinComp.col_size()-1; j++){ + Output << PrinComp[i][j] << "\t"; + } + Output << PrinComp[i][PrinComp.col_size()-1] << std::endl; + } + Output.close(); + + Output = std::ofstream("test_data/Loadings_PCA.dat"); + EigenVectors = PCA.loadings(); + for(unsigned i = 0; i < EigenVectors.row_size(); i++){ + for(unsigned j = 0; j < EigenVectors.col_size()-1; j++){ + Output << EigenVectors[i][j] << "\t"; + } + Output << EigenVectors[i][EigenVectors.col_size()-1] << std::endl; + } + Output.close(); +} + +void debug_mds(){ + mmatrix DataMat, EigSpec, PrinComp; + std::vector data; + std::string Line; + + mmatrix::thread(4); + + std::ifstream Input("data-test/Hidden.dat"); + while(!Input.eof()){ + std::getline(Input,Line); + data = split(Line, ' '); + if(data.size() != 0){ + DataMat.push_back(data); + } + } + Input.close(); + + data_learning::mining::mds MDS = data_learning::mining::mds(DataMat); + + std::ofstream Output("data-test/EigenSpectum_MDS.dat"); + EigSpec = MDS.eigen_spectrum(2); + for(unsigned i = 0; i < EigSpec.col_size(); i++){ + Output << EigSpec[0][i] << std::endl; + } + Output.close(); + + Output = std::ofstream("data-test/PrincipleComponents_MDS.dat"); + PrinComp = MDS.principle_components(2); + for(unsigned i = 0; i < PrinComp.row_size(); i++){ + for(unsigned j = 0; j < PrinComp.col_size()-1; j++){ + Output << PrinComp[i][j] << "\t"; + } + Output << PrinComp[i][PrinComp.col_size()-1] << std::endl; + } + Output.close(); +} + +/*---Auxilliary---------------------------------------------------------------*/ + + +void split(const std::string &s, char delim, std::vector &elems){ + std::stringstream ss; + ss.str(s); + std::string item; + while (std::getline(ss, item, delim)) { + if(item.empty() == false){ + elems.push_back(std::stof(item)); + } + } +} +std::vector split(const std::string &s, char delim){ + std::vector elems; + split(s, delim, elems); + return elems; +} diff --git a/test/debug_dimension.cpp b/test/debug_dimension.cpp new file mode 100755 index 0000000..90c3c9e --- /dev/null +++ b/test/debug_dimension.cpp @@ -0,0 +1,94 @@ +/*===Libraries================================================================*/ +#include +#include +#include + +#include "../src/mdimension.hpp" + +/*===Classes-Structurres======================================================*/ + +/*===Variables================================================================*/ + +/*===Prototypes===============================================================*/ +void constructors(); +void operators(); + + +/*===Main=====================================================================*/ +int main(){ + constructors(); + operators(); +} + + +/** + * Check if constructors are working and modification is still possible. + */ +void constructors(){ + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tA) Dimension Constructors \t\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + mdimension DimEmpt; + std::cout << "DimHc: " << DimEmpt.to_string() << std::endl << std::endl; + mdimension DimSq1(10); + std::cout << "DimSq1(10): " << DimSq1.to_string() << std::endl << std::endl; + mdimension DimSq2(2,5); + std::cout << "DimSq2(10): " << DimSq2.to_string() << std::endl << std::endl; + mdimension DimDef; + DimDef.Row = 4; + DimDef.Col = 5; + std::cout << "DimDef: " << DimDef.to_string() << std::endl; + mdimension DimCopy(DimDef); + std::cout << "DimDCopy(DimDef): " << DimCopy.to_string() << std::endl; + DimCopy = DimSq1; + std::cout << "DimCopy = DimSq1: " << DimCopy.to_string() << std::endl; +} + +void operators(){ + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tB) Dimension Operations \t\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + mdimension DimEmpt; + mdimension DimSq(2,5); + mdimension DimDef(5,2); + mdimension DimCopy(DimDef); + + + std::cout << "DimEmpt: " << DimEmpt.to_string() << std::endl << std::endl; + std::cout << "DimDef: " << DimDef.to_string() << std::endl << std::endl; + std::cout << "DimSq: " << DimSq.to_string() << std::endl << std::endl; + std::cout << "DimCopy: " << DimCopy.to_string() << std::endl << std::endl; + + + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tB1) Unary Operations\t\t\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + DimDef.swap(); + std::cout << "DimCopy.swap() = " << DimCopy.to_string() << std::endl << std::endl; + std::cout << "DimCopy.empty = " << DimCopy.empty() << std::endl << std::endl; + + + + DimCopy = mdimension(DimDef); + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tB2) Boolean Operations\t\t\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + std::cout << "DimDef == DimCopy: " << (DimDef == DimCopy) << std::endl << std::endl; + std::cout << "DimCopy != DimEmpt: " << (DimCopy != DimEmpt) << std::endl << std::endl; + + + + DimCopy = mdimension(DimDef); + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tB3) Multiplication\t\t\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + DimSq.swap(); + DimCopy = DimDef * DimSq; + std::cout << "DimCopy = DimDef * DimSq.swap() \n" << DimCopy.to_string() << std::endl << std::endl; + DimSq *= DimCopy; + std::cout << "DimSq *= DimCopy: \n" << DimSq.to_string() << std::endl << std::endl; +} \ No newline at end of file diff --git a/test/debug_matrix.cpp b/test/debug_matrix.cpp new file mode 100755 index 0000000..de2e5f9 --- /dev/null +++ b/test/debug_matrix.cpp @@ -0,0 +1,385 @@ +/*===Libraries================================================================*/ +#include +#include +#include +#include + +#include "../src/mmatrix.hpp" +#include "../src/meigen.hpp" + +/*===Classes-Structurres======================================================*/ + +/*===Variables================================================================*/ + +/*===Prototypes===============================================================*/ +void constructors(); +void memory(); +void push_back(); +void operators(); +void static_operations(); +void static_norms(); + + +/*===Main=====================================================================*/ +int main(){ + mmatrix::thread(omp_get_max_threads()); + constructors(); + memory(); + push_back(); + operators(); + static_operations(); + static_norms(); +} + +/** + * Check if constructors are working and modification is still possible. + */ +void constructors(){ + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tA) Matrix Constructors \t\t\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + mmatrix MatrixHc = {{1,2,3},{4,5,6},{7,8,9}}; + std::cout << "MatrixHc = {{1,2,3},{4,5,6},{7,8,9}}: \n" << MatrixHc.to_string() << std::endl << std::endl; + mmatrix MatrixHcV = {10,11,12}; + std::cout << "MatrixHcV = {1,2,3}: \n" << MatrixHcV.to_string() << std::endl << std::endl; + mmatrix MatrixDef; + std::cout << "MatrixDef \n" << MatrixDef.to_string() << std::endl; + mmatrix MatrixDim1(MatrixHc.size()); + std::cout << "MatrixDim1(MatrixHc.size()) \n" << MatrixDim1.to_string() << std::endl << std::endl; + mmatrix MatrixDim2(MatrixHc.row_size(),MatrixHc.col_size()); + std::cout << "MatrixDim2(MatrixHc.row_size(),MatrixHc.col_size()) \n" << MatrixDim2.to_string() << std::endl << std::endl; + mmatrix MatrixVec(MatrixHcV[0]); + std::cout << "MatrixVec(MatrixHcV[0]): \n" << MatrixVec.to_string() << std::endl << std::endl; + mmatrix MatrixVecVec(MatrixHc.vector_matrix()); + std::cout << "MatrixVecVec(MatrixHc.vetor_matrix()): \n" << MatrixVecVec.to_string() << std::endl << std::endl; + mmatrix MatrixCopy(MatrixHc); + std::cout << "MatrixCopy(MatrixHcV): \n" << MatrixCopy.to_string() << std::endl << std::endl; + + MatrixDef.push_back(MatrixHcV[0]); + for(auto Vec : MatrixHc){ + MatrixDef.push_back(Vec); + } + std::cout << "MatrixDef[i] = MatrixHc[i] for all i: \n" << MatrixCopy.to_string() << std::endl << std::endl; + + for(std::size_t i = 0; i < MatrixHc.row_size(); i++){ + for(std::size_t j = 0; j < MatrixHc.col_size(); j++){ + assert(MatrixDim1[i][j] == 0.0); + MatrixDim1[i][j] = MatrixHc[i][j]; + MatrixDim2[i][j] = MatrixHc[i][j]; + } + } + std::cout << "MatrixDim1,2[i][j] = MatrixHc[i][j] for all i,j: \n" << MatrixDim1.to_string() << std::endl << std::endl; +} + +void memory(){ + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tB) Matrix Memory Functions \t\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + mmatrix MatrixHc = {{1,2,3},{4,5,6},{7,8,9}}; + mmatrix Matrix0; + std::cout << "MatrixHc: \n" << MatrixHc.to_string() << std::endl << std::endl; + std::cout << "Matrix0: \n" << Matrix0.to_string() << std::endl << std::endl; + + Matrix0.resize(MatrixHc.size(),1); + std::cout << "Matrix0.resize(MatrixHc.size(),1): \n" << Matrix0.to_string() << std::endl << std::endl; + Matrix0.resize(MatrixHc.row_size()*2,MatrixHc.col_size()*2,2); + std::cout << "Matrix0.resize(MatrixHc.row_size()*2,MatrixHc.col_size()*2,2): \n" << Matrix0.to_string() << std::endl << std::endl; + Matrix0.resize(MatrixHc.row_size()-1,MatrixHc.col_size()-1,3); + std::cout << "Matrix0.resize(MatrixHc.row_size()-1,MatrixHc.col_size()-2,3): \n" << Matrix0.to_string() << std::endl << std::endl; + Matrix0.reserve(10); + std::cout << "Matrix0.reserve(10): \n" << Matrix0.to_string() << std::endl << std::endl; + Matrix0.resize(10,-1.337); + std::cout << "Matrix0.resize(10,-1.337): \n" << Matrix0.to_string() << std::endl << std::endl; + +} + +void push_back(){ + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tC) Matrix Matrix/Vector push_back \t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + mmatrix MatrixDef; + std::vector VectorVec = {1,2,3}; + std::vector< std::vector > VectorVecVec = {{1,2,3},{4,5,6},{7,8,9}}; + + std::cout << "MatrixDef: \n" << MatrixDef.to_string() << std::endl << std::endl; + std::cout << "VectorVec: \n1 2 3" << std::endl << std::endl; + std::cout << "VectorVecVec: \n1 2 3\n4 5 6\n7 8 9" << std::endl << std::endl; + + + MatrixDef.push_back(VectorVecVec); + std::cout << "MatrixDef.push_back(VectorVecVec): \n" << MatrixDef.to_string() << std::endl << std::endl; + MatrixDef.push_back_row(VectorVec); + std::cout << "MatrixDef.push_back_row(VectorVec): \n" << MatrixDef.to_string() << std::endl << std::endl; + MatrixDef = (MatrixDef.transposition()*MatrixDef); + MatrixDef.push_back_col(VectorVecVec[2]); + std::cout << "(MatrixDef'*MatrixDef).push_back_col(VectorVecVec[2]): \n" << MatrixDef.to_string() << std::endl << std::endl; +} + +void operators(){ + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tD) Matrix Matrix/Vector Operators \t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + mmatrix MatrixHc = {{1,2,3},{4,5,6},{7,8,9}}; + mmatrix MatrixHcV = {10,11,12}; + mmatrix MatrixDef; + mmatrix MatrixDim(MatrixHc.size()); + mmatrix MatrixVec(MatrixHcV[0]); + mmatrix MatrixCopy(MatrixHc); + + std::vector VectorVec = {1,2,3}; + + MatrixDef.push_back(MatrixHcV[0]); + for(auto Vec : MatrixHc){ + MatrixDef.push_back(Vec); + } + + for(std::size_t i = 0; i < MatrixHc.row_size(); i++){ + for(std::size_t j = 0; j < MatrixHc.col_size(); j++){ + assert(MatrixDim[i][j] == 0.0); + MatrixDim[i][j] = MatrixHc[i][j]; + } + } + + std::cout << "MatrixCopy: \n" << MatrixCopy.to_string() << std::endl << std::endl; + std::cout << "MatrixDim: \n" << MatrixDim.to_string() << std::endl << std::endl; + std::cout << "MatrixHc: \n" << MatrixHc.to_string() << std::endl << std::endl; + std::cout << "MatrixDef: \n" << MatrixDef.to_string() << std::endl << std::endl; + std::cout << "MatrixHcV: \n" << MatrixHcV.to_string() << std::endl << std::endl; + std::cout << "MatrixVec: \n" << MatrixVec.to_string() << std::endl << std::endl; + std::cout << "VectorVec: \n" << (char)((char)VectorVec[0]+'0') << " " << (char)((char)VectorVec[1]+'0') << " " << (char)((char)VectorVec[2]+'0') << std::endl << std::endl; + + + + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tD1) Matrix */ Matrix Multiplication\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + MatrixCopy = MatrixCopy * MatrixDim; + std::cout << "MatrixCopy = MatrixCopy * MatrixDim: \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixCopy * MatrixHc; + std::cout << "MatrixCopy = MatrixCopy * MatrixHc: \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixCopy * MatrixVec.transposition(); + std::cout << "MatrixCopy = MatrixCopy * MatrixVec': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixCopy * MatrixCopy.transposition()/1000000; + std::cout << "MatrixCopy = MatrixCopy * MatrixCopy'/1000000: \n" << MatrixCopy.to_string() << std::endl << std::endl; + + + + + MatrixCopy = mmatrix(MatrixHc); + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tD2) Matrix */= Matrix Multiplication\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + MatrixCopy *= MatrixDim; + std::cout << "MatrixCopy *= MatrixDim: \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy *= MatrixHc; + std::cout << "MatrixCopy *= MatrixHc: \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy *= MatrixVec.transposition(); + std::cout << "MatrixCopy *= MatrixVec': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy *= MatrixCopy.transposition()/1000000; + std::cout << "MatrixCopy *= MatrixCopy'/1000000: \n" << MatrixCopy.to_string() << std::endl << std::endl; + + + + + MatrixCopy = mmatrix(MatrixHc); + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tD3) Matrix +- Matrix Addition\t\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + MatrixCopy = MatrixCopy*MatrixCopy.transposition() + MatrixCopy*MatrixCopy.transposition(); + std::cout << "MatrixCopy = MatrixCopy*MatrixCopy' + MatrixCopy*MatrixCopy': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixCopy+MatrixHc; + std::cout << "MatrixCopy = MatrixCopy+MatrixHc: \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixCopy*MatrixVec.transposition()+MatrixVec.transposition(); + std::cout << "MatrixCopy = MatrixCopy*MatrixVec' + MatrixVec': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixCopy.transposition()-MatrixVec; + std::cout << "MatrixCopy = MatrixCopy'-MatrixVec: \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixCopy.transposition()*MatrixVec - MatrixHc; + std::cout << "MatrixCopy = MatrixCopy'*MatrixVec - MatrixHc: \n" << MatrixCopy.to_string() << std::endl << std::endl; + + + + + MatrixCopy = mmatrix(MatrixHc); + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tD4) Matrix +-= Matrix Addition\t\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + MatrixCopy += MatrixCopy.transposition(); + std::cout << "MatrixCopy += MatrixCopy': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy -= MatrixCopy*MatrixCopy.transposition(); + std::cout << "MatrixCopy -= MatrixCopy*MatrixCopy': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy += MatrixCopy*MatrixCopy; + std::cout << "MatrixCopy += MatrixCopy*MatrixCopy: \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy -= MatrixCopy.transposition()*MatrixCopy.transposition(); + std::cout << "MatrixCopy -= MatrixCopy'*MatrixCopy': \n" << MatrixCopy.to_string() << std::endl << std::endl; + + + + + MatrixCopy = mmatrix(MatrixHc); + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tD5) Matrix * Vector Multiplication\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + MatrixCopy = MatrixCopy * MatrixVec.transposition(); + std::cout << "MatrixCopy = MatrixCopy * MatrixVec': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixCopy * MatrixVec; + std::cout << "MatrixCopy = MatrixCopy * MatrixVec: \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixCopy * MatrixDef.transposition(); + std::cout << "MatrixCopy = MatrixCopy * MatrixDef': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixCopy.transposition()*MatrixHc.transposition(); + std::cout << "MatrixCopy = MatrixCopy' * MatrixHc': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixHc*MatrixVec.transposition()*VectorVec; + std::cout << "MatrixHc = (MatrixCopy*MatrixVec) * VectorVec: \n" << MatrixCopy.to_string() << std::endl << std::endl; + + + + MatrixCopy = mmatrix(MatrixHc); + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tD6) Matrix *= Vector Multiplication\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + MatrixCopy *= MatrixVec.transposition(); + std::cout << "MatrixCopy *= MatrixVec': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy *= VectorVec; + std::cout << "MatrixCopy *= VectorVec: \n" << MatrixCopy.to_string() << std::endl << std::endl; + + + + MatrixCopy = mmatrix(MatrixHc); + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tD7) Matrix *= -or- * Matrix Entry-Multiplication\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + MatrixCopy = MatrixCopy.entry_mult(MatrixCopy.transposition()); + std::cout << "MatrixCopy = MatrixCopy .* MatrixCopy': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = MatrixCopy.vec_entry_mult(VectorVec); + std::cout << "MatrixCopy = MatrixCopy .* VectorVec: \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy.equal_entry_mult(MatrixCopy.transposition()); + std::cout << "MatrixCopy .*= MatrixCopy': \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy.equal_vec_entry_mult(VectorVec); + std::cout << "MatrixCopy .*= VectorVec: \n" << MatrixCopy.to_string() << std::endl << std::endl; +} + +void static_operations(){ + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tE) Static Matrix Operations\t\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + mmatrix MatrixHc = {{1,2,3},{4,5,6},{7,8,9}}; + mmatrix MatrixVec = {1,2,3}; + mmatrix MatrixCopy(MatrixVec); + + std::function function; + std::function (mmatrix)> mat_function; + + std::cout << "MatrixHc: \n" << MatrixHc.to_string() << std::endl << std::endl; + std::cout << "MatrixVec: \n" << MatrixVec.to_string() << std::endl << std::endl; + std::cout << "MatrixCopy: \n" << MatrixCopy.to_string() << std::endl << std::endl; + + + MatrixCopy = mmatrix::repmat(MatrixCopy,3,1); + std::cout << "MatrixCopy = mmatrix::repmat(MatrixCopy,3,1): \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = mmatrix::repmat(mmatrix(MatrixCopy),3,3); + std::cout << "MatrixCopy = mmatrix::repmat(MatrixCopy,3,1): \n" << MatrixCopy.to_string() << std::endl << std::endl; + function = [](double Val){return Val*Val;}; + mmatrix::transform(MatrixHc, function); + std::cout << "std::function function = [](double Val){return Val*Val}" << std::endl; + std::cout << "mmatrix::transform(MatrixHc, function): \n" << MatrixHc.to_string() << std::endl << std::endl; + mat_function = [](mmatrix Mat){ + for(auto iter = Mat.begin(); iter != Mat.end(); iter++){ + for(auto jter = iter->begin(); jter != iter->end(); jter++){ + *jter = sqrt(*jter); + } + } + return Mat; + }; + mmatrix::transform(MatrixHc,mat_function); + std::cout << "std::function mat_function = [](mmatrix Val){...sqrt for each value...}" << std::endl; + std::cout << "mmatrix::transform(MatrixHc, mat_function): \n" << MatrixHc.to_string() << std::endl << std::endl; + mmatrix::transform(MatrixHc.begin(),MatrixHc.end(),function); + std::cout << "mmatrix::transform(MatrixHc.begin(),MatrixHc.end(), function): \n" << MatrixHc.to_string() << std::endl << std::endl; + std::cout << "mmatrix::max(MatrixHc): \n" << mmatrix::max(MatrixHc) << std::endl << std::endl; + std::cout << "mmatrix::min(MatrixHc): \n" << mmatrix::min(MatrixHc) << std::endl << std::endl; + std::cout << "mmatrix::sum(MatrixHc): \n" << mmatrix::sum(MatrixHc) << std::endl << std::endl; + MatrixCopy = mmatrix::maxs(MatrixHc); + std::cout << "MatrixCopy = mmatrix::maxs(MatrixHc): \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = mmatrix::mins(MatrixHc); + std::cout << "MatrixCopy = mmatrix::mins(MatrixHc): \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = mmatrix::sums(MatrixHc); + std::cout << "MatrixCopy = mmatrix::sums(MatrixHc): \n" << MatrixCopy.to_string() << std::endl << std::endl; + + MatrixCopy = mmatrix::covariance(MatrixHc); + std::cout << "MatrixCopy = mmatrix::covariance(MatrixHc): \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = mmatrix::gramian(MatrixHc); + std::cout << "MatrixCopy = mmatrix::gramian(MatrixHc): \n" << MatrixCopy.to_string() << std::endl << std::endl; +} + +void static_norms(){ + std::cout << std::endl << std::string(80,'#') << std::endl; + std::cout << "#\t\tF) Static Normalisation Operations\t\t\t #" << std::endl; + std::cout << std::string(80,'#') << std::endl << "Reset\n" << std::endl; + + mmatrix MatrixHc = {{1,2,3},{4,5,6},{7,8,9}}; + mmatrix MatrixVec = {1,2,3}; + mmatrix MatrixCopy(MatrixVec); + double Norm; + + std::cout << "MatrixHc: \n" << MatrixHc.to_string() << std::endl << std::endl; + std::cout << "MatrixVec: \n" << MatrixVec.to_string() << std::endl << std::endl; + std::cout << "MatrixCopy: \n" << MatrixCopy.to_string() << std::endl << std::endl; + + + MatrixCopy = mmatrix::vector_norms(MatrixHc,1); + std::cout << "MatrixCopy = mmatrix::vector_norms(MatrixHc,1): \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = mmatrix::vector_norms(MatrixHc,2); + std::cout << "MatrixCopy = mmatrix::vector_norms(MatrixHc,2): \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = mmatrix::vector_norms(MatrixHc,200); + std::cout << "MatrixCopy = mmatrix::vector_norms(MatrixHc,200): \n" << MatrixCopy.to_string() << std::endl << std::endl; + + Norm = mmatrix::vector_norm(MatrixCopy,1); + std::cout << "Norm = mmatrix::vector_norm(MatrixCopy,1): \n" << Norm << std::endl << std::endl; + Norm = mmatrix::vector_norm(MatrixCopy,2); + std::cout << "Norm = mmatrix::vector_norm(MatrixCopy,2): \n" << Norm << std::endl << std::endl; + Norm = mmatrix::vector_norm(MatrixCopy,200); + std::cout << "Norm = mmatrix::vector_norm(MatrixCopy,200): \n" << Norm << std::endl << std::endl; + + MatrixCopy = mmatrix::vector_norms(MatrixHc,mmatrix::euclids); + std::cout << "MatrixCopy = mmatrix::vector_norms(MatrixHc,mmatrix::euclids): \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = mmatrix::vector_norms(MatrixHc,mmatrix::taxicaps); + std::cout << "MatrixCopy = mmatrix::vector_norms(MatrixHc,mmatrix::taxicaps): \n" << MatrixCopy.to_string() << std::endl << std::endl; + + + Norm = mmatrix::vector_norm(MatrixCopy,mmatrix::taxicap); + std::cout << "Norm = mmatrix::vector_norm(MatrixCopy,mmatrix::taxicap): \n" << Norm << std::endl << std::endl; + Norm = mmatrix::vector_norm(MatrixCopy,mmatrix::euclid); + std::cout << "Norm = mmatrix::vector_norm(MatrixCopy,mmatrix::euclid): \n" << Norm << std::endl << std::endl; + + + MatrixCopy = MatrixHc*2; + std::cout << "MatrixHc: \n" << MatrixHc.to_string() << std::endl << std::endl; + std::cout << "MatrixCopy: \n" << MatrixCopy.to_string() << std::endl << std::endl; + + + MatrixCopy = mmatrix::vectorwise_distance(MatrixCopy,MatrixHc,1); + std::cout << "MatrixCopy = mmatrix::vectorwise_distance(MatrixCopy,MatrixHc,1): \n" << MatrixCopy.to_string() << std::endl << std::endl; + MatrixCopy = mmatrix::vectorwise_distance(MatrixCopy,MatrixHc,1); + std::cout << "MatrixCopy = mmatrix::vectorwise_distance(MatrixCopy,MatrixHc,1): \n" << MatrixCopy.to_string() << std::endl << std::endl; + Norm = mmatrix::distance(MatrixCopy,MatrixHc,2); + std::cout << "Norm = mmatrix::distance(MatrixCopy,MatrixHc,2): \n" << Norm << std::endl << std::endl; + + std::vector< meigen > Eigens = mmatrix::eigen(MatrixHc,MatrixHc.col_size(),mmatrix::euclid); + std::cout << "Eigen = mmatrix::eigen(MatrixHc,MatrixHc.col_size(),mmatrix::euclid):" << std::endl; + int Ctr = 0; + for(auto & Eigen : Eigens){ + std::cout << "\tEigen.vector() " << Ctr << ": \n\t" << Eigen.vector().to_string() << std::endl; + std::cout << "\tEigen.value() " << Ctr++ << " \n\t" << Eigen.value() << std::endl; + } + std::cout << std::endl; +} \ No newline at end of file diff --git a/test_data-creation/cluster.py b/test_data-creation/cluster.py new file mode 100755 index 0000000..f80b550 --- /dev/null +++ b/test_data-creation/cluster.py @@ -0,0 +1,40 @@ +import random + +def random_data(nData, nDim, muVec, sigVec): + if type(muVec) != list: + muVec = [muVec]*nDim + elif len(muVec) != nDim: + pass + if type(sigVec) != list: + sigVec = [sigVec]*nDim; + elif len(muVec) != nDiM: + pass + + DataPoints = [] + for n in range(nData): + point = [0]*nDim + for i in range(nDim): + point[i] = random.gauss(muVec[i],sigVec[i]) + DataPoints.append(point) + return DataPoints + +def point_to_string(Point): + return " ".join(str(x) for x in Point) + + +#---MAIN-----------------------------------------------------------------------# + +nData = 1000 +nDim = 2 +sigma = 7 +Data = [] + +Data.extend(random_data(nData,nDim,[165,60],sigma)) +#Data.extend(random_data(nData,nDim,[0,1],sigma)) +#Data.extend(random_data(nData,nDim,[1,0],sigma)) +Data.extend(random_data(nData,nDim,[185,80],sigma)) + +File = open("Cluster.dat","w") +for Point in Data: + File.write(point_to_string(Point)+"\n") +File.close() diff --git a/test_data-creation/pca.py b/test_data-creation/pca.py new file mode 100755 index 0000000..322efe8 --- /dev/null +++ b/test_data-creation/pca.py @@ -0,0 +1,167 @@ +import math,random +from numpy import matrix as mat + +def point_to_string(Point): + return " ".join(str(x) for x in Point) + +def rotation(Point,Degree): + if type(Point) != list: + return Point + if type(Degree) != list: + Degree = [math.radians(Degree)]*len(Point); + elif len(Point) != len(Degree) and len(Degree) != 3: + return Point + for i in range(len(Degree)): + Degree[i] = math.radians(Degree[i]) + RotX = mat(([1,0,0],[0,math.cos(Degree[0]),-math.sin(Degree[0])],[0,math.sin(Degree[0]),math.cos(Degree[0])])) + RotY = mat(([math.cos(Degree[0]),0,math.sin(Degree[0])],[0,1,0],[-math.sin(Degree[0]),0,math.cos(Degree[0])])) + RotZ = mat(([math.cos(Degree[0]),-math.sin(Degree[0]),0],[math.sin(Degree[0]),math.cos(Degree[0]),0],[0,0,1])) + return (Point*(RotZ*RotY*RotX)).tolist()[0] + +#===MAIN=======================================================================# +nDataPart = 100; +nDim = 10 +DataPoints = [] +rotDeg = 45; + +#--- d ------------------------------------------------------------------------# +xOff = 0; +yOff = 0; +for i in range(nDataPart): + yOff += 1/nDataPart + Point = [] + #for p in range(2): + # Point.append(random.random()) + Point.extend(rotation([xOff,yOff,0],rotDeg)); + #for p in range(nDim-2-3): + # Point.append(random.random()) + DataPoints.append(Point) +yOff = 0; +for i in range(nDataPart): + yOff += 1/nDataPart/1.5; + Point = [] + #for p in range(2): + # Point.append(random.random()) + Point.extend(rotation([-0.1*math.cos(yOff)+(1/13)+1e-3+xOff,0.3*math.sin(yOff)+math.sin(1/4),0],rotDeg)) + #for p in range(nDim-2-3): + # Point.append(random.random()) + DataPoints.append(Point); + Point = [] + #for p in range(2): + # Point.append(random.random()) + Point.extend(rotation([-0.1*math.cos(yOff)+(1/13)+1e-3+xOff,-0.3*math.sin(yOff)+math.sin(1/4),0],rotDeg)) + #for p in range(nDim-2-3): + # Point.append(random.random()) + DataPoints.append(Point); + + + +#--- a ------------------------------------------------------------------------# +xOff += 3e-2 +yOff = 0; +for i in range(nDataPart): + yOff += 1/nDataPart/2; + Point = [] + #for p in range(2): + #Point.append(random.random()) + Point.extend(rotation([xOff,yOff,0],rotDeg)); + #for p in range(nDim-2-3): + #Point.append(random.random()) + DataPoints.append(Point) +yOff = 0; +for i in range(nDataPart): + yOff += 1/nDataPart/1.5; + Point = [] + #for p in range(2): + #Point.append(random.random()) + Point.extend(rotation([-0.1*math.cos(yOff)+(1/13)+1e-3+xOff,0.3*math.sin(yOff)+math.sin(1/4),0],rotDeg)) + #for p in range(nDim-2-3): + #Point.append(random.random()) + DataPoints.append(Point); + Point = [] + #for p in range(2): + # Point.append(random.random()) + Point.extend(rotation([-0.1*math.cos(yOff)+(1/13)+1e-3+xOff,-0.3*math.sin(yOff)+math.sin(1/4),0],rotDeg)) + #for p in range(nDim-2-3): + # Point.append(random.random()) + DataPoints.append(Point); + +#--- t ------------------------------------------------------------------------# +xOff += 3e-2 +xOff -= 1.2e-2 +yOff = 0.025; +tickOff = xOff- 3e-2/4 +for i in range(nDataPart): + yOff += 1/nDataPart/1.25; + Point = [] + #for p in range(2): + # Point.append(random.random()) + Point.extend(rotation([xOff,yOff,0],rotDeg)); + #for p in range(nDim-2-3): + # Point.append(random.random()) + DataPoints.append(Point) +yOff = 0.55; +for i in range(nDataPart): + tickOff += 3e-2/nDataPart/2; + Point = [] + #for p in range(2): + # Point.append(random.random()) + Point.extend(rotation([tickOff,yOff,0],rotDeg)); + #for p in range(nDim-2-3): + # Point.append(random.random()) + DataPoints.append(Point) +yOff = 0.75; +xOff += 0.7e-2 +for i in range(nDataPart): + yOff += 1/nDataPart; + Point = [] + #for p in range(2): + # Point.append(random.random()) + Point.extend(rotation([-7e-3*math.sin(yOff)+xOff,-7e-2*math.cos(yOff),0],rotDeg)) + #for p in range(nDim-2-3): + # Point.append(random.random()) + DataPoints.append(Point); + Point = [] + #for p in range(2): + # Point.append(random.random()) + Point.extend(rotation([7e-3*math.sin(yOff)+xOff-8e-3,-7e-2*math.cos(yOff),0],rotDeg)) + #for p in range(nDim-2-3): + # Point.append(random.random()) + DataPoints.append(Point); +xOff -= 0.7e-2 +xOff += 1.2e-2 + +#--- a ------------------------------------------------------------------------# +xOff += 3e-2 +yOff = 0; +for i in range(nDataPart): + yOff += 1/nDataPart/2; + Point = [] + #for p in range(2): + # Point.append(random.random()) + Point.extend(rotation([xOff,yOff,0],rotDeg)); + #for p in range(nDim-2-3): + # Point.append(random.random()) + DataPoints.append(Point) +yOff = 0; +for i in range(nDataPart): + yOff += 1/nDataPart/1.5; + Point = [] + #for p in range(2): + # Point.append(random.random()) + Point.extend(rotation([-0.1*math.cos(yOff)+(1/13)+1e-3+xOff,0.3*math.sin(yOff)+math.sin(1/4),0],rotDeg)) + #for p in range(nDim-2-3): + # Point.append(random.random()) + DataPoints.append(Point); + Point = [] + #for p in range(2): + # Point.append(random.random()) + Point.extend(rotation([-0.1*math.cos(yOff)+(1/13)+1e-3+xOff,-0.3*math.sin(yOff)+math.sin(1/4),0],rotDeg)) + #for p in range(nDim-2-3): + # Point.append(random.random()) + DataPoints.append(Point); + +File = open("Hidden.dat","w") +for Point in DataPoints: + File.write(point_to_string(Point)+"\n") +File.close() \ No newline at end of file diff --git a/test_data/.Rhistory b/test_data/.Rhistory new file mode 100755 index 0000000..17f5a37 --- /dev/null +++ b/test_data/.Rhistory @@ -0,0 +1,8 @@ +setwd("~/Projekte/data-learning/test_data") +data = read.table("PrincipleComponents_PCA.dat",header=FALSE) +plot(data$V1,data$V2) +data = read.table("PrincipleComponents_PCA.dat",header=FALSE) +plot(data$V1,data$V2) +data = read.table("PrincipleComponents_PCA.dat",header=FALSE) +plot(data$V1,data$V2) +plot(data$V1,data$V2) diff --git a/test_data/Cluster.dat b/test_data/Cluster.dat new file mode 100755 index 0000000..5fe7ef2 --- /dev/null +++ b/test_data/Cluster.dat @@ -0,0 +1,20000 @@ +0.25037483842635844 0.060158865842804686 +-0.20370324136193782 -0.2607024356855803 +-0.08617837896899448 -0.02691458245859619 +-0.1024138402662944 0.3415047718613712 +0.6417394604367768 0.009358809358902452 +0.1459986011830073 -0.004691447507041038 +0.13292651261806432 0.06022288789550522 +0.26029564361740787 0.08727204886811603 +-0.20164938328584095 -0.049186422740779 +0.008210808371304026 -0.3715721198167638 +-0.03890818565510224 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