Sections 1 and 2 of the Report

Schrick-Noah_CS-7353_HW4.aux

@@ -0,0 +1,6 @@
+\relax 
+\@writefile{toc}{\contentsline {section}{\numberline {1}Problem Introduction}{1}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {2}Program Preface}{2}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {3}Coding Approach}{3}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {4}Results}{3}{}\protected@file@percent }
+\gdef \@abspage@last{3}

Schrick-Noah_CS-7353_HW4.log

@@ -0,0 +1,154 @@
+This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.2.14)  9 MAR 2022 21:14
+entering extended mode
+ restricted \write18 enabled.
+ %&-line parsing enabled.
+**Schrick-Noah_CS-7353_HW4
+(./Schrick-Noah_CS-7353_HW4.tex
+LaTeX2e <2021-11-15> patch level 1
+L3 programming layer <2021-11-22>
+(/usr/share/texmf-dist/tex/latex/base/article.cls
+Document Class: article 2021/10/04 v1.4n Standard LaTeX document class
+(/usr/share/texmf-dist/tex/latex/base/size10.clo
+File: size10.clo 2021/10/04 v1.4n Standard LaTeX file (size option)
+)
+\c@part=\count183
+\c@section=\count184
+\c@subsection=\count185
+\c@subsubsection=\count186
+\c@paragraph=\count187
+\c@subparagraph=\count188
+\c@figure=\count189
+\c@table=\count190
+\abovecaptionskip=\skip47
+\belowcaptionskip=\skip48
+\bibindent=\dimen138
+)
+(/usr/share/texmf-dist/tex/latex/graphics/graphicx.sty
+Package: graphicx 2021/09/16 v1.2d Enhanced LaTeX Graphics (DPC,SPQR)
+
+(/usr/share/texmf-dist/tex/latex/graphics/keyval.sty
+Package: keyval 2014/10/28 v1.15 key=value parser (DPC)
+\KV@toks@=\toks16
+)
+(/usr/share/texmf-dist/tex/latex/graphics/graphics.sty
+Package: graphics 2021/03/04 v1.4d Standard LaTeX Graphics (DPC,SPQR)
+
+(/usr/share/texmf-dist/tex/latex/graphics/trig.sty
+Package: trig 2021/08/11 v1.11 sin cos tan (DPC)
+)
+(/usr/share/texmf-dist/tex/latex/graphics-cfg/graphics.cfg
+File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration
+)
+Package graphics Info: Driver file: pdftex.def on input line 107.
+
+(/usr/share/texmf-dist/tex/latex/graphics-def/pdftex.def
+File: pdftex.def 2020/10/05 v1.2a Graphics/color driver for pdftex
+))
+\Gin@req@height=\dimen139
+\Gin@req@width=\dimen140
+)
+(/usr/share/texmf-dist/tex/latex/base/inputenc.sty
+Package: inputenc 2021/02/14 v1.3d Input encoding file
+\inpenc@prehook=\toks17
+\inpenc@posthook=\toks18
+)
+(/usr/share/texmf-dist/tex/latex/float/float.sty
+Package: float 2001/11/08 v1.3d Float enhancements (AL)
+\c@float@type=\count191
+\float@exts=\toks19
+\float@box=\box50
+\@float@everytoks=\toks20
+\@floatcapt=\box51
+)
+(/usr/share/texmf-dist/tex/latex/tools/indentfirst.sty
+Package: indentfirst 1995/11/23 v1.03 Indent first paragraph (DPC)
+)
+(/usr/share/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def
+File: l3backend-pdftex.def 2021-12-14 L3 backend support: PDF output (pdfTeX)
+\l__color_backend_stack_int=\count192
+\l__pdf_internal_box=\box52
+)
+(./Schrick-Noah_CS-7353_HW4.aux)
+\openout1 = `Schrick-Noah_CS-7353_HW4.aux'.
+
+LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 13.
+LaTeX Font Info:    ... okay on input line 13.
+LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 13.
+LaTeX Font Info:    ... okay on input line 13.
+LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 13.
+LaTeX Font Info:    ... okay on input line 13.
+LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 13.
+LaTeX Font Info:    ... okay on input line 13.
+LaTeX Font Info:    Checking defaults for TS1/cmr/m/n on input line 13.
+LaTeX Font Info:    ... okay on input line 13.
+LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 13.
+LaTeX Font Info:    ... okay on input line 13.
+LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 13.
+LaTeX Font Info:    ... okay on input line 13.
+
+(/usr/share/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
+[Loading MPS to PDF converter (version 2006.09.02).]
+\scratchcounter=\count193
+\scratchdimen=\dimen141
+\scratchbox=\box53
+\nofMPsegments=\count194
+\nofMParguments=\count195
+\everyMPshowfont=\toks21
+\MPscratchCnt=\count196
+\MPscratchDim=\dimen142
+\MPnumerator=\count197
+\makeMPintoPDFobject=\count198
+\everyMPtoPDFconversion=\toks22
+) (/usr/share/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty
+Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf
+Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4
+85.
+
+(/usr/share/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg
+File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv
+e
+))
+LaTeX Font Info:    External font `cmex10' loaded for size
+(Font)              <12> on input line 15.
+LaTeX Font Info:    External font `cmex10' loaded for size
+(Font)              <8> on input line 15.
+LaTeX Font Info:    External font `cmex10' loaded for size
+(Font)              <6> on input line 15.
+
+(./Schrick-Noah_CS-7353_HW4.toc)
+\tf@toc=\write3
+\openout3 = `Schrick-Noah_CS-7353_HW4.toc'.
+
+LaTeX Font Info:    External font `cmex10' loaded for size
+(Font)              <7> on input line 25.
+LaTeX Font Info:    External font `cmex10' loaded for size
+(Font)              <5> on input line 25.
+ [1
+
+{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2] [3] (./Schrick-Noah_CS
+-7353_HW4.aux) ) 
+Here is how much of TeX's memory you used:
+ 1414 strings out of 478353
+ 23513 string characters out of 5854635
+ 326485 words of memory out of 5000000
+ 19564 multiletter control sequences out of 15000+600000
+ 407713 words of font info for 41 fonts, out of 8000000 for 9000
+ 1141 hyphenation exceptions out of 8191
+ 55i,6n,62p,225b,193s stack positions out of 5000i,500n,10000p,200000b,80000s
+{/usr/share/texmf-dist/fonts/enc/dvips/cm-super/cm-super-ts1.en
+c}</usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb></usr/share/
+texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share/texmf-dist/fon
+ts/type1/public/amsfonts/cm/cmmi10.pfb></usr/share/texmf-dist/fonts/type1/publi
+c/amsfonts/cm/cmmi7.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/c
+mr10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/
+share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb></usr/share/texmf-dis
+t/fonts/type1/public/amsfonts/cm/cmr7.pfb></usr/share/texmf-dist/fonts/type1/pu
+blic/amsfonts/cm/cmsy10.pfb></usr/share/texmf-dist/fonts/type1/public/cm-super/
+sfrm1000.pfb>
+Output written on Schrick-Noah_CS-7353_HW4.pdf (3 pages, 117959 bytes).
+PDF statistics:
+ 65 PDF objects out of 1000 (max. 8388607)
+ 39 compressed objects within 1 object stream
+ 0 named destinations out of 1000 (max. 500000)
+ 1 words of extra memory for PDF output out of 10000 (max. 10000000)
+

Schrick-Noah_CS-7353_HW4.tex

@@ -0,0 +1,86 @@
+\documentclass{article}
+\usepackage{graphicx}
+\graphicspath{ {./images/} }
+\usepackage[utf8]{inputenc}
+\usepackage{float}
+\usepackage{indentfirst}
+\setlength{\parskip}{\baselineskip}%
+
+\title{CS 7353: Analysis of Algorithms Homework 4: Visible Lines Problem}
+\author{Noah Schrick}
+\date{March 8, 2022}
+
+\begin{document}
+
+\maketitle
+\tableofcontents
+
+\section{Problem Introduction}
+The Hidden Surface Problem is widely used in computer graphics. When displaying images,
+not all images should be visible (for example, if one object is in front of another). 
+To avoid overlapping images from being displayed and causing collisions, computations are
+performed to remove all or parts of an object from the field of vision.
+This problem is a simplified version focusing on lines in a 2D plane. Rather than handling shifting
+perspectives, this problem will be further simplified to
+focus on the perspective as looking down from y=$\infty$.
+
+The problem statement can be defined as follows:
+
+You are given n nonvertical lines in the plane, labeled $L_{1}$,...,$L_{n}$,
+with the ith line specified by the equation y=$a_{i}$x+$b_{i}$.
+We will make the assumption that no three of the lines all meet at a single 
+point. We say line $L_{i}$ is uppermost at a given x-coordinate $x_{0}$ if its y-coordinate
+at $x_{0}$ is greater than the y-coordinates of all the other lines at
+$x_{0}$: $a_{i}$$x_{0}$+$b_{i}$>$a_{j}$$x_{0}$$b_{j}$ for all 
+j$\not=$i.
+
+We say line $L_{i}$ is visible if there is some x-coordinate at which 
+it is uppermost-intuitively, some portion of it can be seen if you look down from "y=$\infty$".
+
+Determine which lines are visible and at which restricted domains.
+
+\section{Program Preface}
+This assignment was given with instruction to implement this in C++, or justify why Python
+should be used instead. This problem was solved using C++ on a Linux system.
+Attached with submission is a zip folder that contains:
+\begin{itemize}
+    \item{A CMakeLists.txt file for compiling}
+    \item{An "images" folder that contains:}
+    \begin{enumerate}
+        \item{Various images included in this report}
+    \end{enumerate}
+    \item{A "src" folder that contains:}
+    \begin{enumerate}
+        \item{A Line.cpp and Line.h file for the Line class and associated functions}
+        \item{A HiddenLines.cpp and HiddenLines.h file for the problem instance class and
+            associated functions}
+        \item{A GNUPlot .hpp file for plotting}
+        \item{The main file}
+    \end{enumerate}
+    \item{A "data" folder that contains:}
+    \begin{enumerate}
+        \item{A CSV file for defining the line functions to use}
+    \end{enumerate}
+    \item{A "build" folder that contains:}
+    \begin{enumerate}
+        \item{A build.sh script to simplify the build process}
+        \item{A run.sh script to simplify running the program}
+        \item{Various CMake files}
+        \item{The compiled binaries for the program and associated libraries}
+    \end{enumerate}
+\end{itemize}
+
+This program requires the installation of GNUPlot for plotting purposes,
+but modification can be performed to remove the plotting. Removing the plotting
+does not alter the solution computation.
+In addition, this program promises no guarantee of working on other Operating Systems - 
+no testing was conducted on any other platform besides the local Linux machine.
+
+
+\section{Coding Approach}
+3
+
+\section{Results}
+4
+
+\end{document}

Schrick-Noah_CS-7353_HW4.toc

@@ -0,0 +1,4 @@
+\contentsline {section}{\numberline {1}Problem Introduction}{1}{}%
+\contentsline {section}{\numberline {2}Program Preface}{2}{}%
+\contentsline {section}{\numberline {3}Coding Approach}{3}{}%
+\contentsline {section}{\numberline {4}Results}{3}{}%

src/HiddenLines.cpp

@@ -20,7 +20,23 @@ HL::HL()
 }
 
 //Print the solution and convert the double::max and double::lowest to inf strings
-void print_sol(std::vector<Line>& lines){
+void HL::print_sol(std::vector<Line>& lines){
+	HL inst = *this;
+
+	Gnuplot g1("lines");
+    g1.set_title("Original Lines");
+    g1.set_xrange(-20,20);
+    g1.set_yrange(-40,40);
+
+    Gnuplot g2("sol");
+    g2.set_title("Piecewise Solution");
+    g2.set_xrange(-20,20);
+    g2.set_yrange(-40,40);
+
+    for(Line line : inst.get_lines()){
+    	g1.plot_slope(line.get_slope(),line.get_ycept(), "Line "+std::to_string(line.get_id()));
+    }
+
 	for(auto itr = lines.begin(); itr != lines.end(); itr++){
 		Line line = *itr;
 		double start_range = line.get_vis_start();
@@ -37,7 +53,11 @@ void print_sol(std::vector<Line>& lines){
 			continue;
 		std::cout << "Line ID " << line.get_id() << " visible from x=" <<
 			start_print << " to x=" << stop_print << std::endl;
+
+		g2.plot_slope(line.get_slope(), line.get_ycept(), "Line "+std::to_string(line.get_id()));
 	}
+	g2.set_xrange(-20,20);
+	wait_for_key();
 }
 
 //Divide and Conquer Strategy using recursive call to divide ls and merge using merge()
@@ -111,10 +131,6 @@ std::vector<Line> HL::construct_HWprob(){
 	//Set to hold all our Lines
 	std::set<Line> sorted_lines;
 	std::vector<Line> lines;
-	Gnuplot g1("lines");
-    g1.set_title("Original Lines");
-    g1.set_xrange(-20,20);
-    g1.set_yrange(-40,40);
 
 	//Hold our doubles from each line
 	std::vector<double> tmp_data;
@@ -169,13 +185,9 @@ std::vector<Line> HL::construct_HWprob(){
 			line.set_vis_end(std::numeric_limits<double>::max());
 			*it = line;
 		}
-
-		g1.plot_slope(line.get_slope(),line.get_ycept(), "Line "+std::to_string(line.get_id()));
 	}
 	std::cout << "-----------------------------------------------------" << std::endl;
 
-	wait_for_key();
-
 	return lines;
 }
 

src/HiddenLines.h

@@ -12,15 +12,14 @@ class HL
 
 		std::vector<Line> gen_sol(std::vector<Line>& ls);
 		std::vector<Line> construct_HWprob();
-		
 		std::vector<Line> get_lines();
+		void print_sol(std::vector<Line>& lines);
 
 	private:
 		std::vector<Line> lines;
 };
 
 std::vector<Line> merge(std::vector<Line> lh, std::vector<Line> rh);
-void print_sol(std::vector<Line>& lines);
 std::vector<Line> remove_invis(std::vector<Line> &merged);
 
 

src/Line.cpp

@@ -2,13 +2,13 @@
 
 #include "Line.h"
 
-int Line::current_id = 0;
+int Line::current_id = 1;
 
 Line::Line(double x, double y)
 {
 	set_slope(x);
 	set_ycept(y);
-	id = 0;
+	id = 1;
 
 	//Arbitrarily just say lines are visible starting at and ending at 0.
 	set_vis_start(0);

src/main.cpp

@@ -18,6 +18,6 @@ int main(int argc, char *argv[])
 	auto sol = inst.gen_sol(lines);
 	
 	std::cout << "Solution is: " << std::endl;
-	print_sol(sol);
+	inst.print_sol(sol);
 }
 

texput.log

@@ -0,0 +1,21 @@
+This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.2.14)  9 MAR 2022 20:36
+entering extended mode
+ restricted \write18 enabled.
+ %&-line parsing enabled.
+**Schrick-Noah_CS-7353
+
+! Emergency stop.
+<*> Schrick-Noah_CS-7353
+                        
+End of file on the terminal!
+
+ 
+Here is how much of TeX's memory you used:
+ 3 strings out of 478353
+ 127 string characters out of 5854635
+ 295989 words of memory out of 5000000
+ 18233 multiletter control sequences out of 15000+600000
+ 403430 words of font info for 27 fonts, out of 8000000 for 9000
+ 1141 hyphenation exceptions out of 8191
+ 0i,0n,0p,23b,6s stack positions out of 5000i,500n,10000p,200000b,80000s
+!  ==> Fatal error occurred, no output PDF file produced!