数学デッサン教室 – ページ 9 – プログラミング de 落描き

2019年10月15日2019年10月15日

Gradation torus. openFrameworks

[ Video ]

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グラデーションなトーラス。今更ながら(?)、ofMeshを触り始めました。

Gradation 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;
	ofMesh mesh;
};

#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;

ofMesh mesh;

};

#include "ofApp.h"

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

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

	ofBackground(239);
	ofEnableDepthTest();

	auto R = 300.f;
	auto r = 80.f;
	auto u = 0.f;
	auto u_step = 10.f;
	auto v_step = 5.f;

	for (int i = 0; i < 18; i++) {

		float angle = (i * 10) * DEG_TO_RAD;
		auto rotation = glm::rotate(glm::mat4(), angle, glm::vec3(0, 0, 1));

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

			this->mesh.addVertex(glm::vec4(this->make_point(R, r, u, v), 0) * rotation);
			this->mesh.addColor(ofColor(0));
			this->mesh.addVertex(glm::vec4(this->make_point(R, r, u + u_step, v + v_step), 0) * rotation);
			this->mesh.addColor(ofColor(0));
			this->mesh.addVertex(glm::vec4(this->make_point(R, r, u, v + v_step), 0) * rotation);
			this->mesh.addColor(ofColor(0));
			this->mesh.addVertex(glm::vec4(this->make_point(R, r, u - u_step, v), 0) * rotation);
			this->mesh.addColor(ofColor(0));

			auto index = this->mesh.getVertices().size() - 1;

			this->mesh.addIndex(index - 3);
			this->mesh.addIndex(index - 2);
			this->mesh.addIndex(index - 1);

			this->mesh.addIndex(index);
			this->mesh.addIndex(index - 3);
			this->mesh.addIndex(index - 1);

			u += u_step;
		}
	}
}

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

	ofColor color;
	for (auto i = 0; i < this->mesh.getVertices().size(); i += 1) {

		auto location = this->mesh.getVertices()[i];
		auto len = glm::length(location);

		color.setHsb(ofMap(ofNoise(location.x * 0.005, location.y * 0.005, location.z * 0.005, ofGetFrameNum() * 0.01), 0, 1, 72, 192), 200, 255);
		this->mesh.setColor(i, color);
	}
}

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

	this->cam.begin();

	this->mesh.draw();

	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);

ofEnableDepthTest();

auto R = 300.f;

auto r = 80.f;

auto u = 0.f;

auto u_step = 10.f;

auto v_step = 5.f;

for (int i = 0; i < 18; i++) {

float angle = (i * 10) * DEG_TO_RAD;

auto rotation = glm::rotate(glm::mat4(), angle, glm::vec3(0, 0, 1));

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

this->mesh.addVertex(glm::vec4(this->make_point(R, r, u, v), 0) * rotation);

this->mesh.addColor(ofColor(0));

this->mesh.addVertex(glm::vec4(this->make_point(R, r, u + u_step, v + v_step), 0) * rotation);

this->mesh.addColor(ofColor(0));

this->mesh.addVertex(glm::vec4(this->make_point(R, r, u, v + v_step), 0) * rotation);

this->mesh.addColor(ofColor(0));

this->mesh.addVertex(glm::vec4(this->make_point(R, r, u - u_step, v), 0) * rotation);

this->mesh.addColor(ofColor(0));

auto index = this->mesh.getVertices().size() - 1;

this->mesh.addIndex(index - 3);

this->mesh.addIndex(index - 2);

this->mesh.addIndex(index - 1);

this->mesh.addIndex(index);

this->mesh.addIndex(index - 3);

this->mesh.addIndex(index - 1);

u += u_step;

}

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

void ofApp::update() {

ofColor color;

for (auto i = 0; i < this->mesh.getVertices().size(); i += 1) {

auto location = this->mesh.getVertices()[i];

auto len = glm::length(location);

color.setHsb(ofMap(ofNoise(location.x * 0.005, location.y * 0.005, location.z * 0.005, ofGetFrameNum() * 0.01), 0, 1, 72, 192), 200, 255);

this->mesh.setColor(i, color);

}

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

void ofApp::draw() {

this->cam.begin();

this->mesh.draw();

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/openframeworks20191015

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2019年9月9日2019年9月9日

3 color torus. openFrameworks

[ Video ]

[ About ]
3色トーラス。

3 color 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) {};

	ofEasyCam cam;

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

#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;

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

};

#include "ofApp.h"	

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

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

	ofBackground(239);
	ofSetColor(39);
	ofSetLineWidth(2);
	ofEnableDepthTest();
}

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

}

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

	this->cam.begin();

	int v_start_start = ofGetFrameNum();
	for (int v_start = v_start_start; v_start < v_start_start + 360; v_start += 20) {

		vector<glm::vec3> vertices_1, vertices_2, vertices_3;
		for (int v = v_start; v < v_start + 15; v++) {

			int u = v * 6;

			vertices_1.push_back(this->make_point(300, 80, u, v));
			vertices_2.push_back(this->make_point(300, 80, u + 120, v));
			vertices_3.push_back(this->make_point(300, 80, u + 240, v));
		}

		ofNoFill();

		ofSetColor(255, 0, 0);
		ofBeginShape();
		ofVertices(vertices_1);
		ofEndShape();

		ofSetColor(0, 255, 0);
		ofBeginShape();
		ofVertices(vertices_2);
		ofEndShape();

		ofSetColor(0, 0, 255);
		ofBeginShape();
		ofVertices(vertices_3);
		ofEndShape();

		ofFill();

		ofSetColor(255, 0, 0);
		ofDrawSphere(vertices_1.back(), 8);
		ofSetColor(0, 255, 0);
		ofDrawSphere(vertices_2.back(), 8);
		ofSetColor(0, 0, 255);
		ofDrawSphere(vertices_3.back(), 8);
	}

	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);

ofSetColor(39);

ofSetLineWidth(2);

ofEnableDepthTest();

}

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

void ofApp::update() {

}

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

void ofApp::draw() {

this->cam.begin();

int v_start_start = ofGetFrameNum();

for (int v_start = v_start_start; v_start < v_start_start + 360; v_start += 20) {

vector<glm::vec3> vertices_1, vertices_2, vertices_3;

for (int v = v_start; v < v_start + 15; v++) {

int u = v * 6;

vertices_1.push_back(this->make_point(300, 80, u, v));

vertices_2.push_back(this->make_point(300, 80, u + 120, v));

vertices_3.push_back(this->make_point(300, 80, u + 240, v));

}

ofNoFill();

ofSetColor(255, 0, 0);

ofBeginShape();

ofVertices(vertices_1);

ofEndShape();

ofSetColor(0, 255, 0);

ofBeginShape();

ofVertices(vertices_2);

ofEndShape();

ofSetColor(0, 0, 255);

ofBeginShape();

ofVertices(vertices_3);

ofEndShape();

ofFill();

ofSetColor(255, 0, 0);

ofDrawSphere(vertices_1.back(), 8);

ofSetColor(0, 255, 0);

ofDrawSphere(vertices_2.back(), 8);

ofSetColor(0, 0, 255);

ofDrawSphere(vertices_3.back(), 8);

}

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/Insta20190909

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Amazon

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2019年8月15日2019年8月15日

Sphere move on torus. openFrameworks

[ Video ]

[ About ]
トーラスの座標上を動く球体。中央からの距離によってサイズと濃さを変える。

Sphere move on torus. sphere size and color change by center location.

[ 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);
	ofSetColor(39);
	ofSetLineWidth(2);
	ofEnableDepthTest();
}
//--------------------------------------------------------------
void ofApp::update() {

	ofSeedRandom(39);
}

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

	this->cam.begin();

	auto R = 300.f;
	auto r = 80.f;

	for (auto i = 0; i < 30; i++) {

		ofRotate(ofRandom(360));

		auto v_start = ofRandom(15, 360) + ofGetFrameNum();
		for (auto v = v_start - 15; v < v_start + 15; v += 0.5) {

			auto u = v * 8.f;
			ofSetColor(ofMap(abs(v - v_start), 0, 15, 39, 239));
			ofDrawSphere(this->make_point(R, r, u, v), ofMap(abs(v - v_start), 0, 15, 6, 1));
		}
	}

	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);

ofSetColor(39);

ofSetLineWidth(2);

ofEnableDepthTest();

}

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

void ofApp::update() {

ofSeedRandom(39);

}

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

void ofApp::draw() {

this->cam.begin();

auto R = 300.f;

auto r = 80.f;

for (auto i = 0; i < 30; i++) {

ofRotate(ofRandom(360));

auto v_start = ofRandom(15, 360) + ofGetFrameNum();

for (auto v = v_start - 15; v < v_start + 15; v += 0.5) {

auto u = v * 8.f;

ofSetColor(ofMap(abs(v - v_start), 0, 15, 39, 239));

ofDrawSphere(this->make_point(R, r, u, v), ofMap(abs(v - v_start), 0, 15, 6, 1));

}

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/Insta20190815

[ほしいものリスト]
Amazon

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