Torus – ページ 40 – プログラミング de 落描き

2019年1月27日2019年2月7日

Torus knot. openFrameworks

[ Video ]

[ About ]
「数学デッサン教室描いて楽しむ数学のかたち」という本に記載のある数式を元にトーラス結び目(7, 2)をopenFrameworksで描写しました

Torus knot.

[ 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) {};

	void draw_torus(float R, float r, float p, float q);
	glm::vec3 make_point(float R, float r, float t, float p, float q);

	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) {};

void draw_torus(float R, float r, float p, float q);

glm::vec3 make_point(float R, float r, float t, float p, float q);

ofEasyCam cam;

};

#include "ofApp.h"

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

	ofSetFrameRate(60);
	ofSetWindowTitle("openFrameworks");

	ofBackground(239);
	ofSetLineWidth(5);
	ofEnableDepthTest();
}

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

}

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

	this->cam.begin();

	this->draw_torus(200, 60, 7, 2);

	this->cam.end();
}

//--------------------------------------------------------------
void ofApp::draw_torus(float R, float r, float p, float q) {

	ofColor color;
	for (int t_start = ofGetFrameNum() * 0.75; t_start < ofGetFrameNum() * 0.75 + 360; t_start += 30) {

		ofSetColor(39);
		for (int t = t_start; t <= t_start + 20; t++) {

			ofDrawLine(this->make_point(R, r, t, p, q), this->make_point(R, r, t + 1, p, q));
		}

		color.setHsb(ofMap(t_start % 360, 0, 360, 0, 255), 255, 255);
		ofSetColor(color);

		ofDrawSphere(this->make_point(R, r, t_start + 25, p, q), 10);
	}
}

//--------------------------------------------------------------
glm::vec3 ofApp::make_point(float R, float r, float t, float p, float q) {

	// 数学デッサン教室 描いて楽しむ数学たち　P.39
	float x = (R + r * cos(p * t * DEG_TO_RAD)) * cos(q * t * DEG_TO_RAD);
	float y = (R + r * cos(p * t * DEG_TO_RAD)) * sin(q * t * DEG_TO_RAD);
	float z = r * sin(p * t * DEG_TO_RAD);

	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(5);

ofEnableDepthTest();

}

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

void ofApp::update() {

}

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

void ofApp::draw() {

this->cam.begin();

this->draw_torus(200, 60, 7, 2);

this->cam.end();

}

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

void ofApp::draw_torus(float R, float r, float p, float q) {

ofColor color;

for (int t_start = ofGetFrameNum() * 0.75; t_start < ofGetFrameNum() * 0.75 + 360; t_start += 30) {

ofSetColor(39);

for (int t = t_start; t <= t_start + 20; t++) {

ofDrawLine(this->make_point(R, r, t, p, q), this->make_point(R, r, t + 1, p, q));

}

color.setHsb(ofMap(t_start % 360, 0, 360, 0, 255), 255, 255);

ofSetColor(color);

ofDrawSphere(this->make_point(R, r, t_start + 25, p, q), 10);

}

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

glm::vec3 ofApp::make_point(float R, float r, float t, float p, float q) {

// 数学デッサン教室描いて楽しむ数学たち　P.39

float x = (R + r * cos(p * t * DEG_TO_RAD)) * cos(q * t * DEG_TO_RAD);

float y = (R + r * cos(p * t * DEG_TO_RAD)) * sin(q * t * DEG_TO_RAD);

float z = r * sin(p * t * DEG_TO_RAD);

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

}

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

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20190127

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2019年1月5日

Noise torus. openFrameworks

[ Video ]

[ About ]
トーラスの座標を帯状に結んでノイズで伸び縮み

Tie to coordinate of torus.

[ 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 radius, float small_radius, float deg, float small_deg);

	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 radius, float small_radius, float deg, float small_deg);

ofEasyCam cam;

};

#include "ofApp.h"

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

	ofSetFrameRate(60);
	ofSetWindowTitle("openFrameworks");

	ofBackground(239);

	ofNoFill();
	ofEnableDepthTest();
}

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

}

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

	this->cam.begin();

	float radius = 250;
	float small_radius = 50;
	int deg_span = 3;
	int small_deg_span = 10;
	ofColor color;
	
	for (int small_deg = 0; small_deg < 360; small_deg += small_deg_span) {

		color.setHsb(ofMap(small_deg, 0, 360, 0, 255), 255, 200);
		ofSetColor(color);

		int tmp_small_deg = small_deg;
		int deg_max = ofNoise(small_deg * 0.005, ofGetFrameNum() * 0.005) * 360;
		vector<glm::vec3> vertices;
		vector<glm::vec3> sub_vertices;

		for (int deg = 0; deg < deg_max; deg += deg_span) {

			vertices.push_back(this->make_point(radius, small_radius, deg, tmp_small_deg));
			sub_vertices.push_back(this->make_point(radius, small_radius, deg, tmp_small_deg + small_deg_span));
			tmp_small_deg = tmp_small_deg + small_deg_span;
		}

		for (int i = sub_vertices.size() - 1; i > -1; i--) {

			vertices.push_back(sub_vertices[i]);
		}

		ofBeginShape();
		ofVertices(vertices);
		ofEndShape(true);
	}

	this->cam.end();
}

//--------------------------------------------------------------
glm::vec3 ofApp::make_point(float radius, float small_radius, float deg, float small_deg) {

	float x_1 = radius * cos(deg * DEG_TO_RAD);
	float y_1 = radius * sin(deg * DEG_TO_RAD);

	float x_2 = small_radius * cos(small_deg * DEG_TO_RAD) * cos(deg * DEG_TO_RAD);
	float y_2 = small_radius * cos(small_deg * DEG_TO_RAD) * sin(deg * DEG_TO_RAD);

	float x = x_1 + x_2;
	float y = y_1 + y_2;
	float z = small_radius * sin(small_deg * DEG_TO_RAD);

	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);

ofNoFill();

ofEnableDepthTest();

}

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

void ofApp::update() {

}

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

void ofApp::draw() {

this->cam.begin();

float radius = 250;

float small_radius = 50;

int deg_span = 3;

int small_deg_span = 10;

ofColor color;

for (int small_deg = 0; small_deg < 360; small_deg += small_deg_span) {

color.setHsb(ofMap(small_deg, 0, 360, 0, 255), 255, 200);

ofSetColor(color);

int tmp_small_deg = small_deg;

int deg_max = ofNoise(small_deg * 0.005, ofGetFrameNum() * 0.005) * 360;

vector<glm::vec3> vertices;

vector<glm::vec3> sub_vertices;

for (int deg = 0; deg < deg_max; deg += deg_span) {

vertices.push_back(this->make_point(radius, small_radius, deg, tmp_small_deg));

sub_vertices.push_back(this->make_point(radius, small_radius, deg, tmp_small_deg + small_deg_span));

tmp_small_deg = tmp_small_deg + small_deg_span;

}

for (int i = sub_vertices.size() - 1; i > -1; i--) {

vertices.push_back(sub_vertices[i]);

}

ofBeginShape();

ofVertices(vertices);

ofEndShape(true);

}

this->cam.end();

}

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

glm::vec3 ofApp::make_point(float radius, float small_radius, float deg, float small_deg) {

float x_1 = radius * cos(deg * DEG_TO_RAD);

float y_1 = radius * sin(deg * DEG_TO_RAD);

float x_2 = small_radius * cos(small_deg * DEG_TO_RAD) * cos(deg * DEG_TO_RAD);

float y_2 = small_radius * cos(small_deg * DEG_TO_RAD) * sin(deg * DEG_TO_RAD);

float x = x_1 + x_2;

float y = y_1 + y_2;

float z = small_radius * sin(small_deg * DEG_TO_RAD);

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

}

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

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20190105

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2018年10月12日2018年10月16日

Random walk on torus. openFrameworks

[ Video ]

[ About ]
ドーナッツの上をランダムウォーク

Random walk on torus.

[ Source ]

#pragma once
#include "ofMain.h"
#include "Particle.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 mouseEntered(int x, int y) {};
	void mouseExited(int x, int y) {};
	void windowResized(int w, int h) {};
	void dragEvent(ofDragInfo dragInfo) {};
	void gotMessage(ofMessage msg) {};

	ofEasyCam cam;
	vector<Particle> particles;
};

#pragma once

#include "ofMain.h"

#include "Particle.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 mouseEntered(int x, int y) {};

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

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

void dragEvent(ofDragInfo dragInfo) {};

void gotMessage(ofMessage msg) {};

ofEasyCam cam;

vector<Particle> particles;

};

#include "ofApp.h"

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

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

	ofBackground(239);
	ofSetColor(39);
	ofEnableDepthTest();

	for (int i = 0; i < 512; i++) { this->particles.push_back(Particle()); }
}
//--------------------------------------------------------------
void ofApp::update() {

	for (Particle& particle : particles) { particle.Upate(); }
}

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

	this->cam.begin();
	ofRotateY(ofGetFrameNum());

	for (Particle& particle : particles) { particle.Draw(); }

	this->cam.end();
}

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

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

#include "ofApp.h"

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

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openframeworks");

ofBackground(239);

ofSetColor(39);

ofEnableDepthTest();

for (int i = 0; i < 512; i++) { this->particles.push_back(Particle()); }

}

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

void ofApp::update() {

for (Particle& particle : particles) { particle.Upate(); }

}

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

void ofApp::draw() {

this->cam.begin();

ofRotateY(ofGetFrameNum());

for (Particle& particle : particles) { particle.Draw(); }

this->cam.end();

}

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

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

#pragma once
#include "ofMain.h"

class Particle {
public:
	Particle();
	~Particle();
	void Upate();
	void Draw();
	
private:

	ofPoint make_point();

	float radius;
	float deg;
	float small_radius;
	float small_deg;

	float deg_step;
	float small_deg_step;

	std::deque<ofPoint> logs;
};

#pragma once

#include "ofMain.h"

class Particle {

public:

Particle();

~Particle();

void Upate();

void Draw();

private:

ofPoint make_point();

float radius;

float deg;

float small_radius;

float small_deg;

float deg_step;

float small_deg_step;

std::deque<ofPoint> logs;

};

#include "Particle.h"

//--------------------------------------------------------------
Particle::Particle() {
	
	this->radius = 300;
	this->deg = (int)(ofRandom(360) / 10) * 10;
	this->small_radius = 80;
	this->small_deg = (int)(ofRandom(360) / 20) * 20;
}

//--------------------------------------------------------------
Particle::~Particle() {

}

//--------------------------------------------------------------
void Particle::Upate() {

	if (ofGetFrameNum() % 20 == 0) {

		int r = ofRandom(4);
		switch (r) {
		case 0:

			this->deg_step = 0.5;
			this->small_deg_step = 0.0;
			break;
		case 1:

			this->deg_step = -0.5;
			this->small_deg_step = 0.0;
			break;
		case 2:

			this->deg_step = 0.0;
			this->small_deg_step = 1.0;
			break;
		case 3:

			this->deg_step = 0.0;
			this->small_deg_step = -1.0;
			break;
		default:

			this->deg_step = 0.0;
			this->small_deg_step = 0.0;
			break;
		}
	}

	this->deg += this->deg_step;
	this->small_deg += this->small_deg_step;

	ofPoint point = this->make_point();
	this->logs.push_front(point);
	while (this->logs.size() > 45) { this->logs.pop_back(); }

}

//--------------------------------------------------------------
void Particle::Draw() {

	ofFill();
	ofDrawSphere(this->logs.front(), 3);

	ofNoFill();
	ofBeginShape();
	for (ofPoint& log : this->logs) {

		ofVertex(log);
	}
	ofEndShape();
}

//--------------------------------------------------------------
ofPoint Particle::make_point() {

	float x_1 = this->radius * cos(this->deg * DEG_TO_RAD);
	float y_1 = this->radius * sin(this->deg * DEG_TO_RAD);

	float x_2 = this->small_radius * cos(this->small_deg * DEG_TO_RAD) * cos(this->deg * DEG_TO_RAD);
	float y_2 = this->small_radius * cos(this->small_deg * DEG_TO_RAD) * sin(this->deg * DEG_TO_RAD);

	float x = x_1 + x_2;
	float y = y_1 + y_2;
	float z = this->small_radius * sin(this->small_deg * DEG_TO_RAD);

	return ofPoint(x, y, z);
}

#include "Particle.h"

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

Particle::Particle() {

this->radius = 300;

this->deg = (int)(ofRandom(360) / 10) * 10;

this->small_radius = 80;

this->small_deg = (int)(ofRandom(360) / 20) * 20;

}

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

Particle::~Particle() {

}

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

void Particle::Upate() {

if (ofGetFrameNum() % 20 == 0) {

int r = ofRandom(4);

switch (r) {

case 0:

this->deg_step = 0.5;

this->small_deg_step = 0.0;

break;

case 1:

this->deg_step = -0.5;

this->small_deg_step = 0.0;

break;

case 2:

this->deg_step = 0.0;

this->small_deg_step = 1.0;

break;

case 3:

this->deg_step = 0.0;

this->small_deg_step = -1.0;

break;

default:

this->deg_step = 0.0;

this->small_deg_step = 0.0;

break;

}

this->deg += this->deg_step;

this->small_deg += this->small_deg_step;

ofPoint point = this->make_point();

this->logs.push_front(point);

while (this->logs.size() > 45) { this->logs.pop_back(); }

}

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

void Particle::Draw() {

ofFill();

ofDrawSphere(this->logs.front(), 3);

ofNoFill();

ofBeginShape();

for (ofPoint& log : this->logs) {

ofVertex(log);

}

ofEndShape();

}

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

ofPoint Particle::make_point() {

float x_1 = this->radius * cos(this->deg * DEG_TO_RAD);

float y_1 = this->radius * sin(this->deg * DEG_TO_RAD);

float x_2 = this->small_radius * cos(this->small_deg * DEG_TO_RAD) * cos(this->deg * DEG_TO_RAD);

float y_2 = this->small_radius * cos(this->small_deg * DEG_TO_RAD) * sin(this->deg * DEG_TO_RAD);

float x = x_1 + x_2;

float y = y_1 + y_2;

float z = this->small_radius * sin(this->small_deg * DEG_TO_RAD);

return ofPoint(x, y, z);

}

[ Link ]
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