Torus – ページ 19 – プログラミング de 落描き

2021年11月15日2021年11月15日

Gradation one-sixth torus. Draw by openFrameworks

[ Video ]

[ About ]
欠けているトーラスをグラデーションで色付けする。

Color the missing torus with a gradient.

[ Source ]

#pragma once
#include "ofMain.h"

class ofApp : public ofBaseApp {

public:
	void setup();
	void update();
	void draw();

	void keyPressed(int key) {};
	void keyReleased(int key) {};
	void mouseMoved(int x, int y) {};
	void mouseDragged(int x, int y, int button) {};
	void mousePressed(int x, int y, int button) {};
	void mouseReleased(int x, int y, int button) {};
	void windowResized(int w, int h) {};
	void dragEvent(ofDragInfo dragInfo) {};
	void gotMessage(ofMessage msg) {};

	glm::vec3 make_point(float R, float r, float u, float v);

	ofEasyCam cam;
};

#pragma once

#include "ofMain.h"

class ofApp : public ofBaseApp {

public:

void setup();

void update();

void draw();

void keyPressed(int key) {};

void keyReleased(int key) {};

void mouseMoved(int x, int y) {};

void mouseDragged(int x, int y, int button) {};

void mousePressed(int x, int y, int button) {};

void mouseReleased(int x, int y, int button) {};

void windowResized(int w, int h) {};

void dragEvent(ofDragInfo dragInfo) {};

void gotMessage(ofMessage msg) {};

glm::vec3 make_point(float R, float r, float u, float v);

ofEasyCam cam;

};

#include "ofApp.h"

//--------------------------------------------------------------
void ofApp::setup() {

	ofSetFrameRate(60);
	ofSetWindowTitle("openframeworks");

	ofBackground(255);
	ofSetColor(255);
	ofEnableDepthTest();
}

//--------------------------------------------------------------
void ofApp::update() {

	ofSeedRandom(39);
}

//--------------------------------------------------------------
void ofApp::draw() {

	this->cam.begin();

	int count = 0;
	for (int x = -300; x <= 300; x += 600) {

		for (int y = -300; y <= 300; y += 600) {

			ofPushMatrix();
			ofTranslate(x, y, 0);
			ofRotateY(count++ * 45 + ofGetFrameNum());

			for (int r = 60; r <= 90; r += 30) {

				int v_span = 1;
				int u_span = 60;

				ofMesh face, line;
				line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);
				for (int v = 0; v <= 360; v += v_span) {

					bool flag = true;
					int u_start = ofMap(ofNoise(r * cos(v * DEG_TO_RAD)  * 0.008, r * sin(v * DEG_TO_RAD) * 0.008, ofGetFrameNum() * 0.0035), 0, 1, -360, 360);
					int next_u = ofMap(ofNoise(r * cos((v + v_span) * DEG_TO_RAD) * 0.008, r * sin((v + v_span) * DEG_TO_RAD) * 0.008, ofGetFrameNum() * 0.0035), 0, 1, -360, 360);
					for (int u = u_start; u < u_start + 360; u += u_span) {

						if (flag) {

							face.addVertex(this->make_point(200, r, u, v));
							face.addVertex(this->make_point(200, r, u + u_span, v));
							face.addVertex(this->make_point(200, r, next_u + u_span, v + v_span));
							face.addVertex(this->make_point(200, r, next_u, v + v_span));

							line.addVertex(this->make_point(200, r, u, v));
							line.addVertex(this->make_point(200, r, u + u_span, v));
							line.addVertex(this->make_point(200, r, next_u + u_span, v + v_span));
							line.addVertex(this->make_point(200, r, next_u, v + v_span));

							ofColor color;
							auto hue = (count * 64 + r * 4 + (int)ofMap(v, 0, 360, 0, 255)) % 255;
							color.setHsb(hue, 180, 255);

							face.addColor(color);
							face.addColor(color);
							face.addColor(color);
							face.addColor(color);

							face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 2); face.addIndex(face.getNumVertices() - 3);
							face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 3); face.addIndex(face.getNumVertices() - 4);

							line.addIndex(line.getNumVertices() - 1); line.addIndex(line.getNumVertices() - 4);
							line.addIndex(line.getNumVertices() - 2); line.addIndex(line.getNumVertices() - 3);
						}

						next_u += u_span;
						flag = !flag;
					}
				}

				face.drawFaces();
				line.drawWireframe();
			}

			ofPopMatrix();
		}
	}

	this->cam.end();
}

//--------------------------------------------------------------
glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

	// 数学デッサン教室 描いて楽しむ数学たち　P.31

	u *= DEG_TO_RAD;
	v *= DEG_TO_RAD;

	auto x = (R + r * cos(u)) * cos(v);
	auto y = (R + r * cos(u)) * sin(v);
	auto z = r * sin(u);

	return glm::vec3(x, y, z);
}

//--------------------------------------------------------------
int main() {

	ofSetupOpenGL(720, 720, OF_WINDOW);
	ofRunApp(new ofApp());
}

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#include "ofApp.h"

//--------------------------------------------------------------

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openframeworks");

ofBackground(255);

ofSetColor(255);

ofEnableDepthTest();

}

//--------------------------------------------------------------

void ofApp::update() {

ofSeedRandom(39);

}

//--------------------------------------------------------------

void ofApp::draw() {

this->cam.begin();

int count = 0;

for (int x = -300; x <= 300; x += 600) {

for (int y = -300; y <= 300; y += 600) {

ofPushMatrix();

ofTranslate(x, y, 0);

ofRotateY(count++ * 45 + ofGetFrameNum());

for (int r = 60; r <= 90; r += 30) {

int v_span = 1;

int u_span = 60;

ofMesh face, line;

line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);

for (int v = 0; v <= 360; v += v_span) {

bool flag = true;

int u_start = ofMap(ofNoise(r * cos(v * DEG_TO_RAD) * 0.008, r * sin(v * DEG_TO_RAD) * 0.008, ofGetFrameNum() * 0.0035), 0, 1, -360, 360);

int next_u = ofMap(ofNoise(r * cos((v + v_span) * DEG_TO_RAD) * 0.008, r * sin((v + v_span) * DEG_TO_RAD) * 0.008, ofGetFrameNum() * 0.0035), 0, 1, -360, 360);

for (int u = u_start; u < u_start + 360; u += u_span) {

if (flag) {

face.addVertex(this->make_point(200, r, u, v));

face.addVertex(this->make_point(200, r, u + u_span, v));

face.addVertex(this->make_point(200, r, next_u + u_span, v + v_span));

face.addVertex(this->make_point(200, r, next_u, v + v_span));

line.addVertex(this->make_point(200, r, u, v));

line.addVertex(this->make_point(200, r, u + u_span, v));

line.addVertex(this->make_point(200, r, next_u + u_span, v + v_span));

line.addVertex(this->make_point(200, r, next_u, v + v_span));

ofColor color;

auto hue = (count * 64 + r * 4 + (int)ofMap(v, 0, 360, 0, 255)) % 255;

color.setHsb(hue, 180, 255);

face.addColor(color);

face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 2); face.addIndex(face.getNumVertices() - 3);

face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 3); face.addIndex(face.getNumVertices() - 4);

line.addIndex(line.getNumVertices() - 1); line.addIndex(line.getNumVertices() - 4);

line.addIndex(line.getNumVertices() - 2); line.addIndex(line.getNumVertices() - 3);

}

next_u += u_span;

flag = !flag;

}

face.drawFaces();

line.drawWireframe();

}

ofPopMatrix();

}

this->cam.end();

}

//--------------------------------------------------------------

glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

// 数学デッサン教室描いて楽しむ数学たち　P.31

u *= DEG_TO_RAD;

v *= DEG_TO_RAD;

auto x = (R + r * cos(u)) * cos(v);

auto y = (R + r * cos(u)) * sin(v);

auto z = r * sin(u);

return glm::vec3(x, y, z);

}

//--------------------------------------------------------------

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20211115

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2021年11月6日

Quadrangle. Draw by openFrameworks

[ Video ]

[ About ]
90度でトーラスを区切る。

Separate the torus at 90 degrees.

[ Source ]

#pragma once
#include "ofMain.h"

class ofApp : public ofBaseApp {

public:
	void setup();
	void update();
	void draw();

	void keyPressed(int key) {};
	void keyReleased(int key) {};
	void mouseMoved(int x, int y) {};
	void mouseDragged(int x, int y, int button) {};
	void mousePressed(int x, int y, int button) {};
	void mouseReleased(int x, int y, int button) {};
	void windowResized(int w, int h) {};
	void dragEvent(ofDragInfo dragInfo) {};
	void gotMessage(ofMessage msg) {};

	glm::vec3 make_point(float R, float r, float u, float v);

	ofEasyCam cam;
};

#pragma once

#include "ofMain.h"

class ofApp : public ofBaseApp {

public:

void setup();

void update();

void draw();

void keyPressed(int key) {};

void keyReleased(int key) {};

void mouseMoved(int x, int y) {};

void mouseDragged(int x, int y, int button) {};

void mousePressed(int x, int y, int button) {};

void mouseReleased(int x, int y, int button) {};

void windowResized(int w, int h) {};

void dragEvent(ofDragInfo dragInfo) {};

void gotMessage(ofMessage msg) {};

glm::vec3 make_point(float R, float r, float u, float v);

ofEasyCam cam;

};

#include "ofApp.h"

//--------------------------------------------------------------
void ofApp::setup() {

	ofSetFrameRate(30);
	ofSetWindowTitle("openframeworks");

	ofBackground(0);
	ofSetLineWidth(2);
	ofEnableDepthTest();
}

//--------------------------------------------------------------
void ofApp::update() {

	ofSeedRandom(39);
}

//--------------------------------------------------------------
void ofApp::draw() {

	this->cam.begin();

	float R = 200;
	float r = 80;
	int v_span = 90;
	int u_span = 15;

	ofMesh face, line;
	line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);

	for (int v = 0; v <=  360; v += v_span) {

		bool color_flag = true;
		bool flag = true;
		
		int u_start = v + ofGetFrameNum();
		int next_u = u_start + v_span;
		for (int u = u_start; u < u_start + 360; u += u_span) {

			if (flag) {

				vector<glm::vec3> vertices;
				vertices.push_back(this->make_point(R, r, u, v));
				vertices.push_back(this->make_point(R, r, u + u_span, v));
				vertices.push_back(this->make_point(R, r, next_u + u_span, v + v_span));
				vertices.push_back(this->make_point(R, r, next_u, v + v_span));

				face.addVertices(vertices);
				line.addVertices(vertices);

				ofColor face_color = color_flag ? ofColor(0) : ofColor(255);
				ofColor line_color = color_flag ? ofColor(255) : ofColor(0);
				color_flag = !color_flag;

				for (int i = 0; i < 4; i++) {

					face.addColor(face_color);
					line.addColor(line_color);
				}

				face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 2); face.addIndex(face.getNumVertices() - 3);
				face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 3); face.addIndex(face.getNumVertices() - 4);

				line.addIndex(line.getNumVertices() - 1); line.addIndex(line.getNumVertices() - 4);
				line.addIndex(line.getNumVertices() - 2); line.addIndex(line.getNumVertices() - 3);
			}

			next_u += u_span;
			flag = !flag;
		}
	}

	face.drawFaces();
	line.drawWireframe();
}

//--------------------------------------------------------------
glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

	// 数学デッサン教室 描いて楽しむ数学たち　P.31

	u *= DEG_TO_RAD;
	v *= DEG_TO_RAD;

	auto x = (R + r * cos(u)) * cos(v);
	auto y = (R + r * cos(u)) * sin(v);
	auto z = r * sin(u);

	return glm::vec3(x, y, z);
}

//--------------------------------------------------------------
int main() {

	ofSetupOpenGL(720, 720, OF_WINDOW);
	ofRunApp(new ofApp());
}

#include "ofApp.h"

//--------------------------------------------------------------

void ofApp::setup() {

ofSetFrameRate(30);

ofSetWindowTitle("openframeworks");

ofBackground(0);

ofSetLineWidth(2);

ofEnableDepthTest();

}

//--------------------------------------------------------------

void ofApp::update() {

ofSeedRandom(39);

}

//--------------------------------------------------------------

void ofApp::draw() {

this->cam.begin();

float R = 200;

float r = 80;

int v_span = 90;

int u_span = 15;

ofMesh face, line;

line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);

for (int v = 0; v <= 360; v += v_span) {

bool color_flag = true;

bool flag = true;

int u_start = v + ofGetFrameNum();

int next_u = u_start + v_span;

for (int u = u_start; u < u_start + 360; u += u_span) {

if (flag) {

vector<glm::vec3> vertices;

vertices.push_back(this->make_point(R, r, u, v));

vertices.push_back(this->make_point(R, r, u + u_span, v));

vertices.push_back(this->make_point(R, r, next_u + u_span, v + v_span));

vertices.push_back(this->make_point(R, r, next_u, v + v_span));

face.addVertices(vertices);

line.addVertices(vertices);

ofColor face_color = color_flag ? ofColor(0) : ofColor(255);

ofColor line_color = color_flag ? ofColor(255) : ofColor(0);

color_flag = !color_flag;

for (int i = 0; i < 4; i++) {

face.addColor(face_color);

line.addColor(line_color);

}

face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 2); face.addIndex(face.getNumVertices() - 3);

face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 3); face.addIndex(face.getNumVertices() - 4);

line.addIndex(line.getNumVertices() - 1); line.addIndex(line.getNumVertices() - 4);

line.addIndex(line.getNumVertices() - 2); line.addIndex(line.getNumVertices() - 3);

}

next_u += u_span;

flag = !flag;

}

face.drawFaces();

line.drawWireframe();

}

//--------------------------------------------------------------

glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

// 数学デッサン教室描いて楽しむ数学たち　P.31

u *= DEG_TO_RAD;

v *= DEG_TO_RAD;

auto x = (R + r * cos(u)) * cos(v);

auto y = (R + r * cos(u)) * sin(v);

auto z = r * sin(u);

return glm::vec3(x, y, z);

}

//--------------------------------------------------------------

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20211106

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2021年9月24日2021年9月24日

Colorful torus. Draw by openFrameworks

[ Video ]

[ About ]
ループ内でofSeedRandom()を呼び出して同じランダム値を得る。

Call ofSeedRandom() in the loop to get the same random value.

[ Source ]

#pragma once
#include "ofMain.h"

class ofApp : public ofBaseApp {

public:
	void setup();
	void update();
	void draw();

	void keyPressed(int key) {};
	void keyReleased(int key) {};
	void mouseMoved(int x, int y) {};
	void mouseDragged(int x, int y, int button) {};
	void mousePressed(int x, int y, int button) {};
	void mouseReleased(int x, int y, int button) {};
	void windowResized(int w, int h) {};
	void dragEvent(ofDragInfo dragInfo) {};
	void gotMessage(ofMessage msg) {};

	glm::vec3 make_point(float R, float r, float u, float v);

	ofEasyCam cam;
};

#pragma once

#include "ofMain.h"

class ofApp : public ofBaseApp {

public:

void setup();

void update();

void draw();

void keyPressed(int key) {};

void keyReleased(int key) {};

void mouseMoved(int x, int y) {};

void mouseDragged(int x, int y, int button) {};

void mousePressed(int x, int y, int button) {};

void mouseReleased(int x, int y, int button) {};

void windowResized(int w, int h) {};

void dragEvent(ofDragInfo dragInfo) {};

void gotMessage(ofMessage msg) {};

glm::vec3 make_point(float R, float r, float u, float v);

ofEasyCam cam;

};

#include "ofApp.h"

//--------------------------------------------------------------
void ofApp::setup() {

	ofSetFrameRate(60);
	ofSetWindowTitle("openframeworks");

	ofBackground(239);
	ofSetLineWidth(2);
	ofEnableDepthTest();
}

//--------------------------------------------------------------
void ofApp::update() {

	ofSeedRandom(39);
}

//--------------------------------------------------------------
void ofApp::draw() {

	this->cam.begin();

	int v_span = 1;
	int u_span = 30;

	ofMesh face, line;
	ofColor color;
	line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);
	for (int v = 0; v <= 360; v += v_span) {

		bool flag = true;
		int u_start = v;
		int next_u = u_start + v_span;

		ofSeedRandom(39);
		for (int u = u_start; u < u_start + 360; u += u_span) {

			auto noise_param = ofRandom(1000);

			if (flag) {

				face.addVertex(this->make_point(230, 60, u, v));
				face.addVertex(this->make_point(230, 60, u + u_span, v));
				face.addVertex(this->make_point(230, 60, next_u + u_span, v + v_span));
				face.addVertex(this->make_point(230, 60, next_u, v + v_span));

				line.addVertex(this->make_point(230, 60, u, v));
				line.addVertex(this->make_point(230, 60, u + u_span, v));
				line.addVertex(this->make_point(230, 60, next_u + u_span, v + v_span));
				line.addVertex(this->make_point(230, 60, next_u, v + v_span));

				for (int i = 0; i < 4; i++) {

					color.setHsb((int)ofMap(ofNoise(glm::vec4(face.getVertex(face.getNumVertices() - 4 + i) * 0.0005, noise_param + ofGetFrameNum() * 0.003)), 0, 1, 0, 255 * 6) % 255, 130, 255);
					face.addColor(color);
					line.addColor(ofColor(239));
				}

				face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 2); face.addIndex(face.getNumVertices() - 3);
				face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 3); face.addIndex(face.getNumVertices() - 4);

				line.addIndex(line.getNumVertices() - 1); line.addIndex(line.getNumVertices() - 4);
				line.addIndex(line.getNumVertices() - 2); line.addIndex(line.getNumVertices() - 3);
			}

			next_u += u_span;
		    flag = !flag;
		}
	}

	face.drawFaces();
	line.drawWireframe();

	this->cam.end();
}

//--------------------------------------------------------------
glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

	// 数学デッサン教室 描いて楽しむ数学たち　P.31

	u *= DEG_TO_RAD;
	v *= DEG_TO_RAD;

	auto x = (R + r * cos(u)) * cos(v);
	auto y = (R + r * cos(u)) * sin(v);
	auto z = r * sin(u);

	return glm::vec3(x, y, z);
}

//--------------------------------------------------------------
int main() {

	ofSetupOpenGL(720, 720, OF_WINDOW);
	ofRunApp(new ofApp());
}

#include "ofApp.h"

//--------------------------------------------------------------

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openframeworks");

ofBackground(239);

ofSetLineWidth(2);

ofEnableDepthTest();

}

//--------------------------------------------------------------

void ofApp::update() {

ofSeedRandom(39);

}

//--------------------------------------------------------------

void ofApp::draw() {

this->cam.begin();

int v_span = 1;

int u_span = 30;

ofMesh face, line;

ofColor color;

line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);

for (int v = 0; v <= 360; v += v_span) {

bool flag = true;

int u_start = v;

int next_u = u_start + v_span;

ofSeedRandom(39);

for (int u = u_start; u < u_start + 360; u += u_span) {

auto noise_param = ofRandom(1000);

if (flag) {

face.addVertex(this->make_point(230, 60, u, v));

face.addVertex(this->make_point(230, 60, u + u_span, v));

face.addVertex(this->make_point(230, 60, next_u + u_span, v + v_span));

face.addVertex(this->make_point(230, 60, next_u, v + v_span));

line.addVertex(this->make_point(230, 60, u, v));

line.addVertex(this->make_point(230, 60, u + u_span, v));

line.addVertex(this->make_point(230, 60, next_u + u_span, v + v_span));

line.addVertex(this->make_point(230, 60, next_u, v + v_span));

for (int i = 0; i < 4; i++) {

color.setHsb((int)ofMap(ofNoise(glm::vec4(face.getVertex(face.getNumVertices() - 4 + i) * 0.0005, noise_param + ofGetFrameNum() * 0.003)), 0, 1, 0, 255 * 6) % 255, 130, 255);

face.addColor(color);

line.addColor(ofColor(239));

}

face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 2); face.addIndex(face.getNumVertices() - 3);

face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 3); face.addIndex(face.getNumVertices() - 4);

line.addIndex(line.getNumVertices() - 1); line.addIndex(line.getNumVertices() - 4);

line.addIndex(line.getNumVertices() - 2); line.addIndex(line.getNumVertices() - 3);

}

next_u += u_span;

flag = !flag;

}

face.drawFaces();

line.drawWireframe();

this->cam.end();

}

//--------------------------------------------------------------

glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

// 数学デッサン教室描いて楽しむ数学たち　P.31

u *= DEG_TO_RAD;

v *= DEG_TO_RAD;

auto x = (R + r * cos(u)) * cos(v);

auto y = (R + r * cos(u)) * sin(v);

auto z = r * sin(u);

return glm::vec3(x, y, z);

}

//--------------------------------------------------------------

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20210924

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2024年4月
月	火	水	木	金	土	日
1	2	3	4	5	6	7
8	9	10	11	12	13	14
15	16	17	18	19	20	21
22	23	24	25	26	27	28
29	30