Alternate torus. Draw by openFrameworks – プログラミング de 落描き

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交互トーラス。

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#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 face, line;
	float noise_param;
};

#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 face, line;

float noise_param;

};

#include "ofApp.h"

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

	ofSetFrameRate(25);
	ofSetWindowTitle("openframeworks");

	ofBackground(239);
	ofSetLineWidth(3);
	ofEnableDepthTest();

	this->line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);
}

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

	ofSeedRandom(39);

	auto seed = glm::vec3(ofRandom(1000), ofRandom(1000), ofRandom(1000));

	if ((ofGetFrameNum() % 60 > 15 && ofGetFrameNum() % 60 < 30) || (ofGetFrameNum() % 60 > 45 && ofGetFrameNum() % 60 < 60)) {

		this->noise_param += 0.1;
	}

	this->face.clear();
	this->line.clear();

	float phi_deg_step = 2;
	float theta_deg_step = 2;
	float threshold = 0.5;

	float R = 250;
	float base_r = R * 0.25;
	float r;

	if (ofGetFrameNum() % 60 < 30) {

		if (ofGetFrameNum() % 60 < 15) {

			r = R * 0.25;
		}
		else {

			r = ofMap(ofGetFrameNum() % 60, 15, 30, R * 0.25, R * 0.35);
		}
	}
	else {

		if (ofGetFrameNum() % 60 < 45) {

			r = R * 0.35;
		}
		else {

			r = ofMap(ofGetFrameNum() % 60, 45, 60, R * 0.35, R * 0.25);
		}
	}

	ofColor face_color = ofColor(39, 39, 239);
	ofColor line_color = ofColor(39);

	for (float phi_deg = 0; phi_deg < 360; phi_deg += phi_deg_step) {

		for (float theta_deg = 0; theta_deg < 360; theta_deg += theta_deg_step) {

			auto noise_value = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg) * 0.03, this->noise_param));
			if (noise_value <= threshold) { continue; }

			auto noise_1 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg - theta_deg_step, phi_deg) * 0.03, this->noise_param));
			auto noise_2 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg + phi_deg_step) * 0.03, this->noise_param));
			auto noise_3 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg - phi_deg_step) * 0.03, this->noise_param));
			auto noise_4 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg + theta_deg_step, phi_deg) * 0.03, this->noise_param));

			auto index = this->face.getNumVertices();
			vector<glm::vec3> vertices;

			vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg - theta_deg_step * 0.5, phi_deg - phi_deg_step * 0.5)));
			vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg + theta_deg_step * 0.5, phi_deg - phi_deg_step * 0.5)));
			vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg - theta_deg_step * 0.5, phi_deg + phi_deg_step * 0.5)));
			vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg + theta_deg_step * 0.5, phi_deg + phi_deg_step * 0.5)));

			this->face.addVertices(vertices);

			this->face.addColor(face_color);
			this->face.addColor(face_color);
			this->face.addColor(face_color);
			this->face.addColor(face_color);

			this->face.addIndex(index + 0); this->face.addIndex(index + 1); this->face.addIndex(index + 3);
			this->face.addIndex(index + 0); this->face.addIndex(index + 3); this->face.addIndex(index + 2);

			if (noise_1 <= threshold) {

				this->line.addVertex(vertices[0]);
				this->line.addVertex(vertices[2]);

				this->line.addColor(line_color);
				this->line.addColor(line_color);

				this->line.addIndex(this->line.getNumVertices() - 1);
				this->line.addIndex(this->line.getNumVertices() - 2);
			}

			if (noise_2 <= threshold) {

				this->line.addVertex(vertices[2]);
				this->line.addVertex(vertices[3]);

				this->line.addColor(line_color);
				this->line.addColor(line_color);

				this->line.addIndex(this->line.getNumVertices() - 1);
				this->line.addIndex(this->line.getNumVertices() - 2);
			}

			if (noise_3 <= threshold) {

				this->line.addVertex(vertices[0]);
				this->line.addVertex(vertices[1]);

				this->line.addColor(line_color);
				this->line.addColor(line_color);

				this->line.addIndex(this->line.getNumVertices() - 1);
				this->line.addIndex(this->line.getNumVertices() - 2);
			}

			if (noise_4 <= threshold) {

				this->line.addVertex(vertices[1]);
				this->line.addVertex(vertices[3]);

				this->line.addColor(line_color);
				this->line.addColor(line_color);

				this->line.addIndex(this->line.getNumVertices() - 1);
				this->line.addIndex(this->line.getNumVertices() - 2);


			}
		}
	}

	if (ofGetFrameNum() % 60 < 30) {

		if (ofGetFrameNum() % 60 < 15) {

			r = R * 0.35;
		}
		else {

			r = ofMap(ofGetFrameNum() % 60, 15, 30, R * 0.35, R * 0.25);
		}
	}
	else {

		if (ofGetFrameNum() % 60 < 45) {

			r = R * 0.25;
		}
		else {

			r = ofMap(ofGetFrameNum() % 60, 45, 60, R * 0.25, R * 0.35);
		}
	}


	face_color = ofColor(239, 39, 39);
	line_color = ofColor(39);

	for (float phi_deg = 0; phi_deg < 360; phi_deg += phi_deg_step) {

		for (float theta_deg = 0; theta_deg < 360; theta_deg += theta_deg_step) {

			auto noise_value = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg) * 0.03, this->noise_param));
			if (noise_value >= threshold) { continue; }

			auto noise_1 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg - theta_deg_step, phi_deg) * 0.03, this->noise_param));
			auto noise_2 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg + phi_deg_step) * 0.03, this->noise_param));
			auto noise_3 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg - phi_deg_step) * 0.03, this->noise_param));
			auto noise_4 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg + theta_deg_step, phi_deg) * 0.03, this->noise_param));

			auto index = this->face.getNumVertices();
			vector<glm::vec3> vertices;

			vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg - theta_deg_step * 0.5, phi_deg - phi_deg_step * 0.5)));
			vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg + theta_deg_step * 0.5, phi_deg - phi_deg_step * 0.5)));
			vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg - theta_deg_step * 0.5, phi_deg + phi_deg_step * 0.5)));
			vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg + theta_deg_step * 0.5, phi_deg + phi_deg_step * 0.5)));

			this->face.addVertices(vertices);

			this->face.addColor(face_color);
			this->face.addColor(face_color);
			this->face.addColor(face_color);
			this->face.addColor(face_color);

			this->face.addIndex(index + 0); this->face.addIndex(index + 1); this->face.addIndex(index + 3);
			this->face.addIndex(index + 0); this->face.addIndex(index + 3); this->face.addIndex(index + 2);

			if (noise_1 >= threshold) {

				this->line.addVertex(vertices[0]);
				this->line.addVertex(vertices[2]);

				this->line.addColor(line_color);
				this->line.addColor(line_color);

				this->line.addIndex(this->line.getNumVertices() - 1);
				this->line.addIndex(this->line.getNumVertices() - 2);
			}

			if (noise_2 >= threshold) {

				this->line.addVertex(vertices[2]);
				this->line.addVertex(vertices[3]);

				this->line.addColor(line_color);
				this->line.addColor(line_color);

				this->line.addIndex(this->line.getNumVertices() - 1);
				this->line.addIndex(this->line.getNumVertices() - 2);
			}

			if (noise_3 >= threshold) {

				this->line.addVertex(vertices[0]);
				this->line.addVertex(vertices[1]);

				this->line.addColor(line_color);
				this->line.addColor(line_color);

				this->line.addIndex(this->line.getNumVertices() - 1);
				this->line.addIndex(this->line.getNumVertices() - 2);
			}

			if (noise_4 >= threshold) {

				this->line.addVertex(vertices[1]);
				this->line.addVertex(vertices[3]);

				this->line.addColor(line_color);
				this->line.addColor(line_color);

				this->line.addIndex(this->line.getNumVertices() - 1);
				this->line.addIndex(this->line.getNumVertices() - 2);


			}
		}
	}

}

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

	int R = 250;
	int r = R * 0.3;

	this->cam.begin();
	ofRotateX(90);
	this->cam.setPosition(R, 0, r * 2);
	ofRotateZ(ofGetFrameNum() * 2.4);

	this->line.draw();
	this->face.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());
}

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#include "ofApp.h"

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

void ofApp::setup() {

ofSetFrameRate(25);

ofSetWindowTitle("openframeworks");

ofBackground(239);

ofSetLineWidth(3);

ofEnableDepthTest();

this->line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);

}

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

void ofApp::update() {

ofSeedRandom(39);

auto seed = glm::vec3(ofRandom(1000), ofRandom(1000), ofRandom(1000));

if ((ofGetFrameNum() % 60 > 15 && ofGetFrameNum() % 60 < 30) || (ofGetFrameNum() % 60 > 45 && ofGetFrameNum() % 60 < 60)) {

this->noise_param += 0.1;

}

this->face.clear();

this->line.clear();

float phi_deg_step = 2;

float theta_deg_step = 2;

float threshold = 0.5;

float R = 250;

float base_r = R * 0.25;

float r;

if (ofGetFrameNum() % 60 < 30) {

if (ofGetFrameNum() % 60 < 15) {

r = R * 0.25;

}

else {

r = ofMap(ofGetFrameNum() % 60, 15, 30, R * 0.25, R * 0.35);

}

else {

if (ofGetFrameNum() % 60 < 45) {

r = R * 0.35;

}

else {

r = ofMap(ofGetFrameNum() % 60, 45, 60, R * 0.35, R * 0.25);

}

ofColor face_color = ofColor(39, 39, 239);

ofColor line_color = ofColor(39);

for (float phi_deg = 0; phi_deg < 360; phi_deg += phi_deg_step) {

for (float theta_deg = 0; theta_deg < 360; theta_deg += theta_deg_step) {

auto noise_value = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg) * 0.03, this->noise_param));

if (noise_value <= threshold) { continue; }

auto noise_1 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg - theta_deg_step, phi_deg) * 0.03, this->noise_param));

auto noise_2 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg + phi_deg_step) * 0.03, this->noise_param));

auto noise_3 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg - phi_deg_step) * 0.03, this->noise_param));

auto noise_4 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg + theta_deg_step, phi_deg) * 0.03, this->noise_param));

auto index = this->face.getNumVertices();

vector<glm::vec3> vertices;

vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg - theta_deg_step * 0.5, phi_deg - phi_deg_step * 0.5)));

vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg + theta_deg_step * 0.5, phi_deg - phi_deg_step * 0.5)));

vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg - theta_deg_step * 0.5, phi_deg + phi_deg_step * 0.5)));

vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg + theta_deg_step * 0.5, phi_deg + phi_deg_step * 0.5)));

this->face.addVertices(vertices);

this->face.addColor(face_color);

this->face.addIndex(index + 0); this->face.addIndex(index + 1); this->face.addIndex(index + 3);

this->face.addIndex(index + 0); this->face.addIndex(index + 3); this->face.addIndex(index + 2);

if (noise_1 <= threshold) {

this->line.addVertex(vertices[0]);

this->line.addVertex(vertices[2]);

this->line.addColor(line_color);

this->line.addIndex(this->line.getNumVertices() - 1);

this->line.addIndex(this->line.getNumVertices() - 2);

}

if (noise_2 <= threshold) {

this->line.addVertex(vertices[2]);

this->line.addVertex(vertices[3]);

this->line.addColor(line_color);

this->line.addIndex(this->line.getNumVertices() - 1);

this->line.addIndex(this->line.getNumVertices() - 2);

}

if (noise_3 <= threshold) {

this->line.addVertex(vertices[0]);

this->line.addVertex(vertices[1]);

this->line.addColor(line_color);

this->line.addIndex(this->line.getNumVertices() - 1);

this->line.addIndex(this->line.getNumVertices() - 2);

}

if (noise_4 <= threshold) {

this->line.addVertex(vertices[1]);

this->line.addVertex(vertices[3]);

this->line.addColor(line_color);

this->line.addIndex(this->line.getNumVertices() - 1);

this->line.addIndex(this->line.getNumVertices() - 2);

}

if (ofGetFrameNum() % 60 < 30) {

if (ofGetFrameNum() % 60 < 15) {

r = R * 0.35;

}

else {

r = ofMap(ofGetFrameNum() % 60, 15, 30, R * 0.35, R * 0.25);

}

else {

if (ofGetFrameNum() % 60 < 45) {

r = R * 0.25;

}

else {

r = ofMap(ofGetFrameNum() % 60, 45, 60, R * 0.25, R * 0.35);

}

face_color = ofColor(239, 39, 39);

line_color = ofColor(39);

for (float phi_deg = 0; phi_deg < 360; phi_deg += phi_deg_step) {

for (float theta_deg = 0; theta_deg < 360; theta_deg += theta_deg_step) {

auto noise_value = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg) * 0.03, this->noise_param));

if (noise_value >= threshold) { continue; }

auto noise_1 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg - theta_deg_step, phi_deg) * 0.03, this->noise_param));

auto noise_2 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg + phi_deg_step) * 0.03, this->noise_param));

auto noise_3 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg, phi_deg - phi_deg_step) * 0.03, this->noise_param));

auto noise_4 = ofNoise(glm::vec4(this->make_point(R, base_r, theta_deg + theta_deg_step, phi_deg) * 0.03, this->noise_param));

auto index = this->face.getNumVertices();

vector<glm::vec3> vertices;

vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg - theta_deg_step * 0.5, phi_deg - phi_deg_step * 0.5)));

vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg + theta_deg_step * 0.5, phi_deg - phi_deg_step * 0.5)));

vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg - theta_deg_step * 0.5, phi_deg + phi_deg_step * 0.5)));

vertices.push_back(glm::vec3(this->make_point(R, r, theta_deg + theta_deg_step * 0.5, phi_deg + phi_deg_step * 0.5)));

this->face.addVertices(vertices);

this->face.addColor(face_color);

this->face.addIndex(index + 0); this->face.addIndex(index + 1); this->face.addIndex(index + 3);

this->face.addIndex(index + 0); this->face.addIndex(index + 3); this->face.addIndex(index + 2);

if (noise_1 >= threshold) {

this->line.addVertex(vertices[0]);

this->line.addVertex(vertices[2]);

this->line.addColor(line_color);

this->line.addIndex(this->line.getNumVertices() - 1);

this->line.addIndex(this->line.getNumVertices() - 2);

}

if (noise_2 >= threshold) {

this->line.addVertex(vertices[2]);

this->line.addVertex(vertices[3]);

this->line.addColor(line_color);

this->line.addIndex(this->line.getNumVertices() - 1);

this->line.addIndex(this->line.getNumVertices() - 2);

}

if (noise_3 >= threshold) {

this->line.addVertex(vertices[0]);

this->line.addVertex(vertices[1]);

this->line.addColor(line_color);

this->line.addIndex(this->line.getNumVertices() - 1);

this->line.addIndex(this->line.getNumVertices() - 2);

}

if (noise_4 >= threshold) {

this->line.addVertex(vertices[1]);

this->line.addVertex(vertices[3]);

this->line.addColor(line_color);

this->line.addIndex(this->line.getNumVertices() - 1);

this->line.addIndex(this->line.getNumVertices() - 2);

}

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

void ofApp::draw() {

int R = 250;

int r = R * 0.3;

this->cam.begin();

ofRotateX(90);

this->cam.setPosition(R, 0, r * 2);

ofRotateZ(ofGetFrameNum() * 2.4);

this->line.draw();

this->face.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/Insta20230912

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