대수적 토폴로지 및 OpenGL 프로그래밍 기법 배우기

KM은 대수적 위상을 학습하고 C++를 사용하여 연속 다각형을 토리로 변형하는 알고리즘을 구현하는 것을 목표로 합니다.

### 대수적 토폴로지 학습 및 OpenGL 알고리즘 구현하기
* 🧠 저는 이 분야의 표준 표기법과 연산을 이해하는 것이 중요하다고 강조하는 **Allen Hatcher의 책**을 사용하여 대수적 위상수학을 배우기로 결정했습니다.
* 🔍 위상수학은 종종 추상적인 것으로 여겨지지만, 근본적으로 변형과 변환을 포함하는 **동형과 동형 유형**을 찾는 것으로 수학자와 엔지니어 모두에게 필수적인 학문입니다.
* 💻 단기적인 목표는 위상수학을 공부하는 것이고, 장기적인 목표는 **다각형을 토리로 연속적이고 시각적으로 변형할 수 있는 알고리즘**, 특히 **가장자리가 1에서 12까지인 다각형을 각각 2개와 3개의 구멍이 있는 토리로 변형하는 알고리즘**을 개발하는 것입니다.
* 🛠 이를 위해 C++ 코드를 구현할 계획이며, 개발 과정에 필수적인 **최신 Microsoft Visual C++ 17.1.3 버전과 Windows 10 SDK**를 포함한 OpenGL 도구를 설치 및 설정할 예정입니다.
* 📦 또한 코딩 및 빌드 프로세스를 용이하게 하기 위해 필요한 모든 개발 도구가 올바르게 설치 및 구성되도록 **인텔 oneAPI 베이스 툴킷과 엔비디아 쿠다 툴킷**을 활용할 것입니다.
* 📚 개발 환경을 설정하고 변형 과정을 시각화하는 데 필수적인 **OpenGL 프로그래밍**을 이해하려면 영어와 한국어로 제공되는 교육용 동영상을 참고하는 것이 좋습니다.
* 🌐 올바른 도구와 환경 변수를 설정한 상태에서 OpenGL 패키지의 압축을 풀고, Microsoft Visual Studio에서 프로젝트를 빌드하고, **코딩 프로젝트에서 정적 및 공유 라이브러리를 사용할 때의 복잡한 문제**를 해결하는 방법을 보여드리겠습니다.
* 🔄 마지막으로 시스템 환경 변수를 올바르게 구성하는 것의 중요성과 원활한 개발 환경을 보장하기 위해 **변경 후 컴퓨터를 재부팅**해야 한다는 점을 강조하겠습니다.

Hi everyone, my name is KM. Today is September 14th, 2024, and it is 4:37 AM. Recently, I made up my mind to learn algebraic topology using Allen Hatcher's book. If you scroll down, you can find standard notations; all these notations come from theory, so we need to be familiar with them. We also have to know how to operate. Many people believe topology is abstract, but from my perspective, topology finds homotopy and homotopy type. If you read this text, you will soon find that it involves deformation or transformation because we are mathematicians. At the same time, we are engineers. 

For example, we implement complex structures using algorithms constructed with one, two, or more dimensions. My short-term goal is to study topology, and my long-term goal is to implement algorithms that allow for the deformation of polygons continuously and visually into tori. For instance, polygons with edges 1, 2, 3, 4, 5, 6, 7 need to be deformed continuously and visually into a torus with two holes. Similarly, polygons with edges 1 through 12 need to be visually deformed into a torus with three holes. 

I want to implement C++ code to deform polygons continuously and visually to visualize the deformation processes. To achieve this, we need some tools. We will install and set up OpenGL tools in my current session.

To build GLFW, pre-GLUT, or other OpenGL tools on your own, these videos will be useful. I filmed these videos in English, and also in Korean. I assume you have installed the latest version of Microsoft Visual C++. As of today, September 14, the latest Microsoft C++ version is 17.1.3. Also, go to Tools, then Get Tools and Features; Microsoft C++ must be installed as an individual component. If you scroll down, you will find the Windows 10 SDK. Try to install the latest Windows SDK. In my case, I'm using Windows 10. Probably early next year or in 2025, I will install Windows 11. As of today, I am using Windows 10. In this case, install the latest Windows 10 SDK. You have to remember that if you have installed a Windows SDK version, then you have to install it. I also assume you have installed the Intel oneAPI Base Toolkit from the Intel website. I have the latest oneAPI Base Toolkit as of today. I also assume you have installed the toolkit from the NVIDIA website. You can download the latest CUDA Toolkit. I always assume you have installed the latest development tools. After installing these tools, you have to set the proper environment variables in the Intel oneAPI. Don't miss the oneAPI; hit enter, and then you can find multiple videos on how to set up Intel oneAPI. Refer to my previous videos; I will

Works behind the scenes. This is the official guide, so this book is a must-read if you want to understand OpenGL programming. I would also recommend OpenGL. This book is also useful, just so you know. I assume you have installed the C++ library extensions in YouTube. Once again, search for C++ library extensions. Don't miss IQ 95; then you can learn how to set up C++ library extensions. If you haven't installed the C++ library extensions, you may not be able to follow my current and future sessions.

Now, scroll down. You can download OpenGL tools, all in one package. This package is very big; it is over 600 MB. I said over 600. If the internet is slow, then download all files one by one. Because I am from South Korea, I can download 600 MB with one click. Sadly, my server is located in the UK, so depending on the internet, it will take longer. If you want to be a specialist or develop your own application, then come to South Korea. South Korea provides very fast internet speed at a very low price. If my server were located in South Korea, it would take just a few minutes; since my server is located in the United Kingdom, it takes longer.

Now, I will show you how to unzip it. I will unzip this package. In the OpenGL materials folder, you can find the items. I will open the folder and arrange it

To tools in the CDEB soft folder. This folder is optional, but if you follow my videos and match the folder exactly, then you will have less trouble while following my videos. However, this folder is required; you have to unzip these files into this folder. 

Now we can try examples in this folder. Double-click it to copy the path. Open up Microsoft Visual Studio, go to File, open solution, and then find the solution file. Scroll down, and you can find the solution. Open it; we will use Debug x64. Right-click the solution properties, select Configuration Properties, and make sure to select Debug. 

Then, in Configuration Properties, select General. You have to select the latest version of Windows SDK. Select this option and click Apply. In Release, select Release; you should also select the latest installed version. Click OK. 

You should be able to build it. 59 succeeded, failed while reading the OpenGL programming guide. The OpenGL guide to OpenGL is this book. You can use the sample files in this solution, for example, right-click on Cube Map, set it at the start of the project, then press F5, either one like this, then close. 

Of course, you can examine the source code in this folder. Now go back to the solution, hit enter, scroll down, and you will find the SuperV solution. Open it, select the solution, and then select Debug. This Windows

Deb, you can find OpenGL PG9 tools in this folder. You can find Vermilion undb. We need files for OpenGL SV7 tools. If you want, you can go to this folder. In this folder, this is SP7 code. Master, from this folder, you have to copy, for example, SP7. Not in here. Go up SCB; you have to copy files. If you want, re-open the main folder, go to OpenGL tools here. Go up. 

Go to PG9 in the GL tools in the backups. Go up here. We are GLUT. Please open the folder, then you can find GLUT. Open up all we need for this project. Please right-click and set the start of the project. Right-click properties. Now select Debug in the compilation properties. General, you have to select the latest version instead of Windows 11. Then have the latest Windows 11. 

Okay, be able to build successfully. One succeeded because this is the library we only need for the time being. If the need arises, you can build other files as well. Now, release. Right-click project, only build only. Please, GL. You should be able to build successfully. Please, GLUT 3.4.0. Now go in the BC. 

Open, save all. We need SH. Go to SH properties in the release configuration. You have to select the latest version only. Go,

Myself, CY, in the beginning, you can find these tools. I built these 23 tools by myself. If you need to rebuild these files, you can use this method. For example, in our previous solution, GL and the new solution. If you want to build static, then make it set at the start of the project. We just built a static library; they usually provide static libraries. Static libraries are more secure than shared libraries, but shared libraries also have their pros and cons. When we use a shared library, we can be exposed to security problems. However, while we are building applications and managing our applications, shared libraries provide more flexibility. So depending on your needs, you can build and use either a shared library or a static library.

Now I will close it in the System C development software. We have to set environment variables for this. I collected these libraries in the B file from LIB devb. Also, release Go up, glew, lbb, x64. I collected these things in the release x64. I just wanted to help you learn how to build these things. After building, you can delete files if you need to build again. You can use the files in the back now.

In the D drive, development software tutorials, I will create a new folder called topology for quick access. In this folder, you can find advanced transform feedback and shader files. We will use these files. The properties will be explained shortly, so

Shaders are syntax-highlighted back to explain. If you open any shader files, you may notice that Microsoft IntelliSense fails to address this issue. Press Ctrl + Shift + P to select Edit Configuration. Here, we have to change the C++ standard to C++ 20. Also, open the C++ include closing. Now, back to draw.cpp. The syntax errors are gone, but this is not good enough because I set environment variables already on my machine. 

Let's explain how to proceed. We have to use C++ 20. Switch to the debug build. In case you use lowercase 2s, it should build. But I will give one more switch here: /D for debug mode. This means dynamic DLL debugging. The D stands for debugging. Hit enter when building in debug mode. We set the subsystem to DIR D. 

In debugging, we give r.exe. This is for the release build. Now, DIR.exe D is for the debugging build, while R is for the release build. In the case of a release build, R will show debugging information like this. To make it work and be able to build like this, we have to set environment variables. You also have to create a command prompt for preparing the build system. 

Building an OpenCL application is quite challenging because a number of tools are created by third parties. In the downloads section, again, for OpenCL materials, you can

In this case, we can arrange for easy reading. TVB ink is included, and some parts are repeated, but don't worry. We will start with TVB environment variables. This is for inclusion, so in the include section, you need these settings. 

Now, with TVB, you can find TVB Edit. You have to set this to x86 in the API under Program Files x86. Scroll down in the API, and in the latest include, see this folder should be specified here. Now I will cancel it. We define CLE here again. In C Edit, you can find CLE in the latest include. 

So, in this PC under Program Files x86, Intel, API, and the folder should be specified. Now we will include C++ and specify the .cpp extension. Include the browse directory in this PC, system, DB, soft, and the .cpp extension. This path should be specified here.

Now, can we specify NVIDIA? NVIDIA is defined in the system variables. Edit the PR files for NVIDIA GPU computing. This is the latest version, and you can browse in this PC under Program Files. You can find the NVIDIA CPU computing toolkit, then select the latest version 12.6. You will find the include folder here. 

Now, up to this point, we have defined NVIDIA. In MSVC, let's see here. In MSVC Edit, you can see Program Files, Microsoft Visual Studio 2022 Community, BC

In this folder, you have to select items like this: 14, 41, 3412. This is the biggest number. Latest, but this must be specified as MSBC. Now, open the tools in the PC system directory. Include this value in GL tools. Now, this one: BR. This PC system directory is DB O PG9 tools. Open GL program GUID 9. You should select this for the PC system directory, OPG Super V 7. This path should be defined. Up to this point, we have defined OpenGL. Now we need to define LIIV here in the system variables. LI should be defined; some are not defined here. This is defined. Now we have to define TVB x64 LIB here. TVB x64 LIB edit; we have to specify this path. I will show you side by side: system PR files x68 INT 1 API. Scroll down to the latest LIB. This path should be specified here. Now, we can set x64 here: C x64 LIB IT 1 API LIB. This PC system x68 IN 1 API compiler is ready. Then LIIV can be defined. Now we define OpenLIB here again. Edit and select this path: this PC system directory, Soft GL tools. We just specified this folder. Cancel, then browse this PC system directory, Soft OpenGL tools. Then LIIV, this path should be specified here. We specified all variables.

We do not have DLL files; we do not have DLL files also in this folder. These are static libraries. I think you understand how to set the NVCC environment variables with this. Sorry, I made a mistake here; you have to remove all blank spaces. This is for your reference. You have to make changes to include environment variables. I will show you once again. 

In the System Environment Variables, in the Include section, you have to define these environment variables like this; otherwise, the system may not build properly. Close it. 

Now, replace the file in the destination. If you already have this, it is in C:\Windows. Now, scroll down. You can find 2022 CCK. 

Delete this file location for x64 tools. Now, delete this like this here. Scroll down; this is the batch file. Copy this face also to C:\. If you have a blank space in your path, you have to correct it. 

Now apply. You can change it; you can select any IC. For example, I can select this GE Sbol. Okay, apply. 

You created this command front. You can delete all EXE or OBJ files. Also, like this, then /subsystem console, hit enter now; it should build. I made some mistakes; I think I made a mistake in the material. 

Here, I think I made a mistake. Sorry, I have to remove blank spaces here.

It is a confusing task. First, we have to open this command prompt again. We have to type: CD advb DIR d VJ dl.exe cl SD c++ 20 ehsc throw.cpp fe d.exe MD D. This is for the bird link system console. It should build successfully. In the console window, then R 4 release, we don't need it here. Then we can give O2 optimizations. We don't have any error messages in case there are errors. This is information. 

Now close it. You can change the size properties and font, for example, to 24, and apply it. Also, adjust the layout with B, such as 42, 30, 6 lines, and apply it. Double-click it. Now it opens with a big window. 

Now close it. You can drag and drop on your taskbar while editing videos. I found I made a mistake here; this is not a comment in the batch file. It should be rem, so this is fixed now. I can close it and copy it into Windows. 

Once again, I forgot one thing to remind you: search for edit system environment variables in the dialog box. There are two sections: user variables for username and system variables. Whenever you edit variables in this section, for example, when you make changes to any variables in the system variable section, you have to reboot your machine. 

Whenever you change a variable, don't forget

001- (SETUP) OpenGL Tools Setup

IQ95 The Homo Siliconiens

대수 위상 학습 및 변형 알고리즘 구현하기

KM은 표준 표기법과 연산에 중점을 두고 Allen Hatcher의 책을 사용하여 대수적 위상수학을 배우기 시작했습니다.

단기적인 목표는 위상학을 연구하는 것이고, 장기적인 목표는 다각형을 토리로 연속적이고 시각적으로 변형하는 알고리즘을 구현하는 것입니다.

KM은 구현을 위해 C++ 및 OpenGL 도구를 사용할 계획이며, 필요한 소프트웨어 설치 및 환경 변수 설정에 대한 지침을 제공했습니다.

이 가이드는 공식 OpenGL 프로그래밍 서적을 읽고 C++ 라이브러리 확장 프로그램을 설치하는 것이 중요하다고 강조합니다.

인터넷 속도가 빠른 한국에서는 대용량 OpenGL 도구 패키지를 다운로드할 수 있습니다.

이 가이드는 패키지의 압축을 풀고, Microsoft Visual Studio를 설정하고, 프로젝트를 빌드하는 방법을 단계별로 안내합니다.

OpenGL 도구 및 라이브러리 설정하기

OpenGL PG9 도구와 Vermilion undb 파일은 특정 폴더에서 사용할 수 있으며, OpenGL SV7 도구용 추가 파일은 다른 폴더에서 사용할 수 있습니다.

SP7 코드 및 기타 필요한 파일은 SCB 폴더에서 복사할 수 있습니다.

프로젝트 설정에는 최신 Windows 버전을 선택하고, GL 및 GLUT 라이브러리를 빌드하고, 유연성과 보안을 위해 정적 라이브러리와 공유 라이브러리 중 하나를 결정하는 작업이 포함됩니다.

셰이더 파일에 Microsoft IntelliSense의 구문 강조 표시 문제가 있을 수 있습니다.

이 문제를 해결하려면 C++ 표준을 C++ 20으로 변경하고 디버그 빌드로 전환하세요.

환경 변수를 설정하고, 빌드 시스템에 대한 명령 프롬프트를 생성하고, TVB, Intel 및 NVIDIA에 대한 포함 경로를 지정하여 원활한 OpenCL 애플리케이션 빌드를 보장합니다.

PC 시스템 디렉토리 및 환경 변수 설정하기

14, 41, 3412와 같은 항목을 선택하고 3412가 가장 크며 MSBC로 지정합니다.

PC 시스템 디렉터리에서 도구를 열고 GL 도구에 해당 값을 포함시킨 다음 시스템 변수에 LIIV 및 TVB x64 LIB를 정의합니다.

변경 사항을 적용하기 전에 대상의 파일을 바꾸고 불필요한 파일을 삭제하고 경로에 빈 공간이 있으면 수정합니다.

이 과정에는 명령 프롬프트에 일련의 명령을 입력하여 시스템 콘솔을 빌드하는 것이 포함됩니다.

빌드가 성공적으로 완료되면 콘솔 창 크기를 조정하고 글꼴을 조정하여 더 잘 보이도록 할 수 있습니다.

시스템 환경 변수를 편집하고 변경한 후에는 컴퓨터를 재부팅하는 것이 중요합니다.