2019年5月 – ページ 8 – プログラミング de 落描き

2019年5月10日2019年5月10日

Circle intersection point. openFrameworks

[ Video ]

[ About ]
円の交点

Circle intersection point.

[ 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) {};

	bool calculate_angle(glm::vec2 location_1, float radius_1, glm::vec2 location_2, float radius_2, double& theta, double& a);
};

#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) {};

bool calculate_angle(glm::vec2 location_1, float radius_1, glm::vec2 location_2, float radius_2, double& theta, double& a);

};

#include "ofApp.h"	

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

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

	ofBackground(239);
	ofSetColor(39);
	ofNoFill();
	ofSetLineWidth(2);
	ofSetCircleResolution(72);

}

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

	ofSeedRandom(39);
}

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

	vector<pair<glm::vec2, float>> circles;
	circles.push_back(make_pair(glm::vec2(ofGetWidth() * 0.5, ofGetHeight() * 0.5), 250));
	for (int i = 0; i < 20; i++) {

		auto location = glm::vec2(ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.001), 0, 1, 0, ofGetWidth()), ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.001), 0, 1, 0, ofGetHeight()));
		auto radius = ofRandom(30, 60);

		auto circle = make_pair(location, radius);
		circles.push_back(circle);
	}

	for (auto circle : circles) {

		ofNoFill();
		ofDrawCircle(circle.first, circle.second);
		for (auto other : circles) {

			if (circle == other) { continue; }

			double theta, a;
			if (this->calculate_angle(circle.first, circle.second, other.first, other.second, theta, a)) {

				auto point_1 = circle.first + glm::vec2(circle.second * cos(theta + a), circle.second * sin(theta + a));
				auto point_2 = circle.first + glm::vec2(circle.second * cos(theta - a), circle.second * sin(theta - a));

				ofFill();
				ofDrawCircle(point_1, 7);
				ofDrawCircle(point_2, 7);
			}
		}
	}
	
}

//--------------------------------------------------------------
bool ofApp::calculate_angle(glm::vec2 location_1, float radius_1, glm::vec2 location_2, float radius_2, double& theta, double& a) {

	auto distance = glm::distance(location_1, location_2);
	if (distance > radius_1 + radius_2 || distance < radius_1 - radius_2) { return false; }

	theta = atan2(location_2.y - location_1.y, location_2.x - location_1.x);
	auto cos_a = (pow(distance, 2) + pow(radius_1, 2) - pow(radius_2, 2)) / (2 * distance * radius_1);
	a = acos(cos_a);
	return true;
}

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

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

#include "ofApp.h"

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

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openFrameworks");

ofBackground(239);

ofSetColor(39);

ofNoFill();

ofSetLineWidth(2);

ofSetCircleResolution(72);

}

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

void ofApp::update() {

ofSeedRandom(39);

}

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

void ofApp::draw() {

vector<pair<glm::vec2, float>> circles;

circles.push_back(make_pair(glm::vec2(ofGetWidth() * 0.5, ofGetHeight() * 0.5), 250));

for (int i = 0; i < 20; i++) {

auto location = glm::vec2(ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.001), 0, 1, 0, ofGetWidth()), ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.001), 0, 1, 0, ofGetHeight()));

auto radius = ofRandom(30, 60);

auto circle = make_pair(location, radius);

circles.push_back(circle);

}

for (auto circle : circles) {

ofNoFill();

ofDrawCircle(circle.first, circle.second);

for (auto other : circles) {

if (circle == other) { continue; }

double theta, a;

if (this->calculate_angle(circle.first, circle.second, other.first, other.second, theta, a)) {

auto point_1 = circle.first + glm::vec2(circle.second * cos(theta + a), circle.second * sin(theta + a));

auto point_2 = circle.first + glm::vec2(circle.second * cos(theta - a), circle.second * sin(theta - a));

ofFill();

ofDrawCircle(point_1, 7);

ofDrawCircle(point_2, 7);

}

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

bool ofApp::calculate_angle(glm::vec2 location_1, float radius_1, glm::vec2 location_2, float radius_2, double& theta, double& a) {

auto distance = glm::distance(location_1, location_2);

if (distance > radius_1 + radius_2 || distance < radius_1 - radius_2) { return false; }

theta = atan2(location_2.y - location_1.y, location_2.x - location_1.x);

auto cos_a = (pow(distance, 2) + pow(radius_1, 2) - pow(radius_2, 2)) / (2 * distance * radius_1);

a = acos(cos_a);

return true;

}

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

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20190510

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2019年5月9日2019年5月9日

Double circle. openFrameworks

[ Video ]

[ About ]
二つの円周が重なったら交点を計算して、くり抜いた形状で描写

Double circle.

[ 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) {};

	bool compute_angle(glm::vec2 location_1, float radius_1, glm::vec2 location_2, float radius_2, double& theta, double& a);
};

#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) {};

bool compute_angle(glm::vec2 location_1, float radius_1, glm::vec2 location_2, float radius_2, double& theta, double& a);

};

#include "ofApp.h"	

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

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

	ofBackground(239);
	ofSetColor(39);
	ofNoFill();
	ofSetLineWidth(5);
	ofSetCircleResolution(72);

}

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

	ofSeedRandom(39);
}

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

	auto location_1 = glm::vec2(ofGetWidth() * 0.5, ofGetHeight() * 0.5);
	auto radius_1 = 280;

	auto location_2 = glm::vec2(ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.008), 0, 1, 0, ofGetWidth()), ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.008), 0, 1, 0, ofGetHeight()));
	auto radius_2 = 120;

	auto theta = 0.0;
	auto a = 0.0;
	auto result = this->compute_angle(location_1, radius_1, location_2, radius_2, theta, a);

	if (result) {

		vector<glm::vec2> vertices;
		for (auto rad = theta + a; rad <= theta + 2 * PI - a; rad += PI / 180) {

			vertices.push_back(location_1 + glm::vec2(radius_1 * cos(rad), radius_1 * sin(rad)));
		}

		this->compute_angle(location_2, radius_2, location_1, radius_1, theta, a);
		for (auto rad = theta + a; rad >= theta - a; rad -= PI / 180) {

			vertices.push_back(location_2 + glm::vec2(radius_2 * cos(rad), radius_2 * sin(rad)));
		}
		
		ofFill();
		ofSetColor(239, 39, 39);
		ofBeginShape();
		ofVertices(vertices);
		ofEndShape();

		ofNoFill();
		ofSetColor(39);
		ofBeginShape();
		ofVertices(vertices);
		ofEndShape();

	}
	else {

		ofFill();
		ofSetColor(239, 39, 39);
		ofDrawCircle(location_1, radius_1);
		ofNoFill();
		ofSetColor(39);
		ofDrawCircle(location_1, radius_1);
		
		ofFill();
		ofSetColor(239);
		ofDrawCircle(location_2, radius_2);
		ofNoFill();
		ofSetColor(39);
		ofDrawCircle(location_2, radius_2);
	}
}

//--------------------------------------------------------------
bool ofApp::compute_angle(glm::vec2 location_1, float radius_1, glm::vec2 location_2, float radius_2, double& theta, double& a) {

	auto distance = glm::distance(location_1, location_2);
	if (distance > radius_1 + radius_2 || distance < radius_1 - radius_2) { return false; }

	theta = atan2(location_2.y - location_1.y, location_2.x - location_1.x);
	auto cos_a = (pow(distance, 2) + pow(radius_1, 2) - pow(radius_2, 2)) / (2 * distance * radius_1);
	a = acos(cos_a);
	return true;
}

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

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

#include "ofApp.h"

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

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openFrameworks");

ofBackground(239);

ofSetColor(39);

ofNoFill();

ofSetLineWidth(5);

ofSetCircleResolution(72);

}

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

void ofApp::update() {

ofSeedRandom(39);

}

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

void ofApp::draw() {

auto location_1 = glm::vec2(ofGetWidth() * 0.5, ofGetHeight() * 0.5);

auto radius_1 = 280;

auto location_2 = glm::vec2(ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.008), 0, 1, 0, ofGetWidth()), ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.008), 0, 1, 0, ofGetHeight()));

auto radius_2 = 120;

auto theta = 0.0;

auto a = 0.0;

auto result = this->compute_angle(location_1, radius_1, location_2, radius_2, theta, a);

if (result) {

vector<glm::vec2> vertices;

for (auto rad = theta + a; rad <= theta + 2 * PI - a; rad += PI / 180) {

vertices.push_back(location_1 + glm::vec2(radius_1 * cos(rad), radius_1 * sin(rad)));

}

this->compute_angle(location_2, radius_2, location_1, radius_1, theta, a);

for (auto rad = theta + a; rad >= theta - a; rad -= PI / 180) {

vertices.push_back(location_2 + glm::vec2(radius_2 * cos(rad), radius_2 * sin(rad)));

}

ofFill();

ofSetColor(239, 39, 39);

ofBeginShape();

ofVertices(vertices);

ofEndShape();

ofNoFill();

ofSetColor(39);

ofBeginShape();

ofVertices(vertices);

ofEndShape();

}

else {

ofFill();

ofSetColor(239, 39, 39);

ofDrawCircle(location_1, radius_1);

ofNoFill();

ofSetColor(39);

ofDrawCircle(location_1, radius_1);

ofFill();

ofSetColor(239);

ofDrawCircle(location_2, radius_2);

ofNoFill();

ofSetColor(39);

ofDrawCircle(location_2, radius_2);

}

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

bool ofApp::compute_angle(glm::vec2 location_1, float radius_1, glm::vec2 location_2, float radius_2, double& theta, double& a) {

auto distance = glm::distance(location_1, location_2);

if (distance > radius_1 + radius_2 || distance < radius_1 - radius_2) { return false; }

theta = atan2(location_2.y - location_1.y, location_2.x - location_1.x);

auto cos_a = (pow(distance, 2) + pow(radius_1, 2) - pow(radius_2, 2)) / (2 * distance * radius_1);

a = acos(cos_a);

return true;

}

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

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20190509

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2019年5月8日2019年5月8日

Pair of quarter torus. openFrameworks

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[ About ]
4分の1のトーラスペア

Pair of quarter 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 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) {};

	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 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) {};

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() {

}

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

	this->cam.begin();

	auto r = 100;
	auto R = 300;
	for (int i = 0; i < 2; i++) {

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

			auto u_start = ofGetFrameNum() + v * 4 + i * 180;
			for (auto u = u_start; u < u_start + 90; u += 20) {

				i == 0 ? ofSetColor(239) : ofSetColor(39);
				ofFill();

				ofBeginShape();
				ofVertex(this->make_point(R, r, u - 9.9, v - 4.9));
				ofVertex(this->make_point(R, r, u + 9.9, v - 4.9));
				ofVertex(this->make_point(R, r, u + 9.9, v + 4.9));
				ofVertex(this->make_point(R, r, u - 9.9, v + 4.9));
				ofEndShape(true);

				i == 0 ? ofSetColor(39) : ofSetColor(239);
				ofNoFill();

				ofBeginShape();
				ofVertex(this->make_point(R, r, u - 10.1, v - 5.1));
				ofVertex(this->make_point(R, r, u + 10.1, v - 5.1));
				ofVertex(this->make_point(R, r, u + 10.1, v + 5.1));
				ofVertex(this->make_point(R, r, u - 10.1, v + 5.1));
				ofEndShape(true);
			}
		}
	}

	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() {

}

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

void ofApp::draw() {

this->cam.begin();

auto r = 100;

auto R = 300;

for (int i = 0; i < 2; i++) {

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

auto u_start = ofGetFrameNum() + v * 4 + i * 180;

for (auto u = u_start; u < u_start + 90; u += 20) {

i == 0 ? ofSetColor(239) : ofSetColor(39);

ofFill();

ofBeginShape();

ofVertex(this->make_point(R, r, u - 9.9, v - 4.9));

ofVertex(this->make_point(R, r, u + 9.9, v - 4.9));

ofVertex(this->make_point(R, r, u + 9.9, v + 4.9));

ofVertex(this->make_point(R, r, u - 9.9, v + 4.9));

ofEndShape(true);

i == 0 ? ofSetColor(39) : ofSetColor(239);

ofNoFill();

ofBeginShape();

ofVertex(this->make_point(R, r, u - 10.1, v - 5.1));

ofVertex(this->make_point(R, r, u + 10.1, v - 5.1));

ofVertex(this->make_point(R, r, u + 10.1, v + 5.1));

ofVertex(this->make_point(R, r, u - 10.1, v + 5.1));

ofEndShape(true);

}

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/Insta20190508

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