sphere – ページ 65 – プログラミング de 落描き

2019年1月28日2019年2月21日

Torus. openFrameworks

[ Video ]

[ About ]
昨日に引き続き「数学デッサン教室描いて楽しむ数学のかたち」から数式を引用しました。対の球体が小径を回転します。

Pair sphere rotating on coordinate on 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 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(3);
	ofEnableDepthTest();
}

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

}

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

	this->cam.begin();

	ofColor color;
	for (int v = 0; v < 360; v += 10) {

		vector<glm::vec3> vertices_1;
		vector<glm::vec3> vertices_2;
		int u_start = v * 3 + ofGetFrameNum() * 2;

		color.setHsb(ofMap(v, 0, 360, 0, 255), 255, 230);
		ofSetColor(color);

		ofFill();
		ofDrawSphere(this->make_point(250, 50, (u_start) * DEG_TO_RAD, v * DEG_TO_RAD), 10);
		ofDrawSphere(this->make_point(250, 50, (u_start + 180) * DEG_TO_RAD, v * DEG_TO_RAD), 10);

		for (int u = u_start + 20; u <= u_start + 150; u += 10) {

			vertices_1.push_back(this->make_point(250, 50, u * DEG_TO_RAD, v * DEG_TO_RAD));
			vertices_2.push_back(this->make_point(250, 50, (u + 180) * DEG_TO_RAD, v * DEG_TO_RAD));
		}

		ofNoFill();

		ofBeginShape();
		ofVertices(vertices_1);
		ofEndShape();

		ofBeginShape();
		ofVertices(vertices_2);
		ofEndShape();
	}

	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

	float x = (R + r * cos(u)) * cos(v);
	float y = (R + r * cos(u)) * sin(v);
	float 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(3);

ofEnableDepthTest();

}

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

void ofApp::update() {

}

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

void ofApp::draw() {

this->cam.begin();

ofColor color;

for (int v = 0; v < 360; v += 10) {

vector<glm::vec3> vertices_1;

vector<glm::vec3> vertices_2;

int u_start = v * 3 + ofGetFrameNum() * 2;

color.setHsb(ofMap(v, 0, 360, 0, 255), 255, 230);

ofSetColor(color);

ofFill();

ofDrawSphere(this->make_point(250, 50, (u_start) * DEG_TO_RAD, v * DEG_TO_RAD), 10);

ofDrawSphere(this->make_point(250, 50, (u_start + 180) * DEG_TO_RAD, v * DEG_TO_RAD), 10);

for (int u = u_start + 20; u <= u_start + 150; u += 10) {

vertices_1.push_back(this->make_point(250, 50, u * DEG_TO_RAD, v * DEG_TO_RAD));

vertices_2.push_back(this->make_point(250, 50, (u + 180) * DEG_TO_RAD, v * DEG_TO_RAD));

}

ofNoFill();

ofBeginShape();

ofVertices(vertices_1);

ofEndShape();

ofBeginShape();

ofVertices(vertices_2);

ofEndShape();

}

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

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

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

float 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/Insta20190128

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2019年1月4日

Slide sphere. openFrameworks

[ Video ]

[ About ]
スライドする球体

Slide sphere.

[ 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) {};

	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) {};

ofEasyCam cam;

};

#include "ofApp.h"

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

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

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

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

	ofSeedRandom(39);
}

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

	this->cam.begin();
	ofRotateX(90);

	int radius = 300;
	int deg_span = 10;
	for (int deg_2 = 0; deg_2 <= 180; deg_2 += deg_span) {

		int deg_start = ofNoise(ofRandom(1000), ofGetFrameNum() * 0.002) * 360;
		for (int deg_1 = deg_start; deg_1 < deg_start + 360; deg_1 += deg_span) {

			vector<glm::vec3> vertices_fill;
			vertices_fill.push_back(glm::vec3(
				radius * cos((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),
				radius * sin((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),
				radius * cos((deg_2 - deg_span * 0.5) * DEG_TO_RAD)
			));

			vertices_fill.push_back(glm::vec3(
				radius * cos((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),
				radius * sin((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),
				radius * cos((deg_2 - deg_span * 0.5) * DEG_TO_RAD)
			));

			vertices_fill.push_back(glm::vec3(
				radius * cos((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),
				radius * sin((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),
				radius * cos((deg_2 + deg_span * 0.5) * DEG_TO_RAD)
			));

			vertices_fill.push_back(glm::vec3(
				radius * cos((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),
				radius * sin((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),
				radius * cos((deg_2 + deg_span * 0.5) * DEG_TO_RAD)
			));

			ofSetColor(239);
			ofFill();
			ofBeginShape();
			ofVertices(vertices_fill);
			ofEndShape(true);

			vector<glm::vec3> vertices_noFill;
			vertices_noFill.push_back(glm::vec3(
				(radius + 1) * cos((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),
				(radius + 1) * sin((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),
				(radius + 1) * cos((deg_2 - deg_span * 0.5) * DEG_TO_RAD)
			));

			vertices_noFill.push_back(glm::vec3(
				(radius + 1) * cos((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),
				(radius + 1) * sin((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),
				(radius + 1) * cos((deg_2 - deg_span * 0.5) * DEG_TO_RAD)
			));

			vertices_noFill.push_back(glm::vec3(
				(radius + 1) * cos((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),
				(radius + 1) * sin((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),
				(radius + 1) * cos((deg_2 + deg_span * 0.5) * DEG_TO_RAD)
			));

			vertices_noFill.push_back(glm::vec3(
				(radius + 1) * cos((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),
				(radius + 1) * sin((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),
				(radius + 1) * cos((deg_2 + deg_span * 0.5) * DEG_TO_RAD)
			));

			ofSetColor(39);
			ofNoFill();
			ofBeginShape();
			ofVertices(vertices_noFill);
			ofEndShape(true);
		}
	}

	this->cam.end();
}

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

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

100

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102

103

104

105

#include "ofApp.h"

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

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openFrameworks");

ofBackground(239);

ofSetColor(39);

ofEnableDepthTest();

}

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

void ofApp::update() {

ofSeedRandom(39);

}

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

void ofApp::draw() {

this->cam.begin();

ofRotateX(90);

int radius = 300;

int deg_span = 10;

for (int deg_2 = 0; deg_2 <= 180; deg_2 += deg_span) {

int deg_start = ofNoise(ofRandom(1000), ofGetFrameNum() * 0.002) * 360;

for (int deg_1 = deg_start; deg_1 < deg_start + 360; deg_1 += deg_span) {

vector<glm::vec3> vertices_fill;

vertices_fill.push_back(glm::vec3(

radius * cos((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),

radius * sin((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),

radius * cos((deg_2 - deg_span * 0.5) * DEG_TO_RAD)

));

vertices_fill.push_back(glm::vec3(

radius * cos((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),

radius * sin((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),

radius * cos((deg_2 - deg_span * 0.5) * DEG_TO_RAD)

));

vertices_fill.push_back(glm::vec3(

radius * cos((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),

radius * sin((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),

radius * cos((deg_2 + deg_span * 0.5) * DEG_TO_RAD)

));

vertices_fill.push_back(glm::vec3(

radius * cos((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),

radius * sin((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),

radius * cos((deg_2 + deg_span * 0.5) * DEG_TO_RAD)

));

ofSetColor(239);

ofFill();

ofBeginShape();

ofVertices(vertices_fill);

ofEndShape(true);

vector<glm::vec3> vertices_noFill;

vertices_noFill.push_back(glm::vec3(

(radius + 1) * cos((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),

(radius + 1) * sin((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),

(radius + 1) * cos((deg_2 - deg_span * 0.5) * DEG_TO_RAD)

));

vertices_noFill.push_back(glm::vec3(

(radius + 1) * cos((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),

(radius + 1) * sin((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 - deg_span * 0.5) * DEG_TO_RAD),

(radius + 1) * cos((deg_2 - deg_span * 0.5) * DEG_TO_RAD)

));

vertices_noFill.push_back(glm::vec3(

(radius + 1) * cos((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),

(radius + 1) * sin((deg_1 + deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),

(radius + 1) * cos((deg_2 + deg_span * 0.5) * DEG_TO_RAD)

));

vertices_noFill.push_back(glm::vec3(

(radius + 1) * cos((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),

(radius + 1) * sin((deg_1 - deg_span * 0.5) * DEG_TO_RAD) * sin((deg_2 + deg_span * 0.5) * DEG_TO_RAD),

(radius + 1) * cos((deg_2 + deg_span * 0.5) * DEG_TO_RAD)

));

ofSetColor(39);

ofNoFill();

ofBeginShape();

ofVertices(vertices_noFill);

ofEndShape(true);

}

this->cam.end();

}

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

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20190104

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2018年12月8日

Spheres friendship. openframeworks

[ Video ]

[ About ]
球体は色を持っています。球体同士が近づくと周りに相手の色の小さな球体が出現して結ばれます。

Spheres have color. Small spheres of contradictory color appear around when the spheres approach each other.

[ 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 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<glm::vec3> locations;
	vector<ofColor> colors;
};

#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 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<glm::vec3> locations;

vector<ofColor> colors;

};

#include "ofApp.h"

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

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

	ofBackground(0);
	ofEnableDepthTest();
}
//--------------------------------------------------------------
void ofApp::update() {

	ofSeedRandom(39);
	this->locations.clear();

	for (int i = 0; i < 100; i++) {

		glm::vec3 location = glm::vec3(
			ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * ofRandom(0.001, 0.0005)), 0, 1, -ofGetWidth() * 0.5, ofGetWidth() * 0.5),
			ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * ofRandom(0.001, 0.0005)), 0, 1, -ofGetHeight() * 0.5, ofGetHeight() * 0.5),
			ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * ofRandom(0.001, 0.0005)), 0, 1, -360, 360));
		this->locations.push_back(location);

		ofColor color;
		color.setHsb(ofRandom(255), 235, 255);
		this->colors.push_back(color);
	}
}

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

	this->cam.begin();
	ofRotateY(ofGetFrameNum() * 0.5);

	for (int i = 0; i < this->locations.size(); i++) {

		ofFill();
		ofSetColor(this->colors[i]);
		ofDrawSphere(this->locations[i], 10);
		for (int j = 0; j < this->locations.size(); j++) {

			if (i == j) {

				continue;
			}

			glm::vec3 distance = this->locations[i] - this->locations[j];
			float distance_lenght = glm::length(distance);

			if (distance_lenght < 100) {

				ofDrawSphere(this->locations[j] + glm::normalize(distance) * 20, 5);
				ofSetColor(this->colors[i] + this->colors[j]);
				ofDrawLine(this->locations[i] - glm::normalize(distance) * 20, this->locations[j] + glm::normalize(distance) * 20);
				ofSetColor(this->colors[i]);
			}
		}
	}

	this->cam.end();
}

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

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

#include "ofApp.h"

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

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openframeworks");

ofBackground(0);

ofEnableDepthTest();

}

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

void ofApp::update() {

ofSeedRandom(39);

this->locations.clear();

for (int i = 0; i < 100; i++) {

glm::vec3 location = glm::vec3(

ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * ofRandom(0.001, 0.0005)), 0, 1, -ofGetWidth() * 0.5, ofGetWidth() * 0.5),

ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * ofRandom(0.001, 0.0005)), 0, 1, -ofGetHeight() * 0.5, ofGetHeight() * 0.5),

ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * ofRandom(0.001, 0.0005)), 0, 1, -360, 360));

this->locations.push_back(location);

ofColor color;

color.setHsb(ofRandom(255), 235, 255);

this->colors.push_back(color);

}

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

void ofApp::draw() {

this->cam.begin();

ofRotateY(ofGetFrameNum() * 0.5);

for (int i = 0; i < this->locations.size(); i++) {

ofFill();

ofSetColor(this->colors[i]);

ofDrawSphere(this->locations[i], 10);

for (int j = 0; j < this->locations.size(); j++) {

if (i == j) {

continue;

}

glm::vec3 distance = this->locations[i] - this->locations[j];

float distance_lenght = glm::length(distance);

if (distance_lenght < 100) {

ofDrawSphere(this->locations[j] + glm::normalize(distance) * 20, 5);

ofSetColor(this->colors[i] + this->colors[j]);

ofDrawLine(this->locations[i] - glm::normalize(distance) * 20, this->locations[j] + glm::normalize(distance) * 20);

ofSetColor(this->colors[i]);

}

this->cam.end();

}

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

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20181208

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