プログラミング de 落描き – ページ 222 – クリエイティブ・コーディングによる生成物とソース

2023年9月13日2023年9月13日

Inside the torus where thorns grow.

[ Video ]

[ About ]
棘が生えるトーラスの内部。

[ 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, float scale = 1.0);

	ofEasyCam cam;
	ofMesh face_mesh, frame_mesh;

	vector<glm::vec3> location_list;
	vector<float> height_list;
};

#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, float scale = 1.0);

ofEasyCam cam;

ofMesh face_mesh, frame_mesh;

vector<glm::vec3> location_list;

vector<float> height_list;

};

#include "ofApp.h"

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

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

	ofBackground(0);
	ofEnableDepthTest();

	for (auto v = 0; v < 360; v += 2) {

		for (auto u = 0; u < 360; u += 5) {

			this->location_list.push_back(this->make_point(200, 80, u, v));
			this->height_list.push_back(0);
		}
	}

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

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

	ofSeedRandom(39);

	this->face_mesh.clear();
	this->frame_mesh.clear();

	auto R = 200;
	auto r = 80;
	auto v_span = 2;
	auto u_span = 5;

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

		auto noise_value = ofNoise(glm::vec4(this->location_list[i] * 0.01, ofGetFrameNum() * 0.01));
		if (noise_value > 0.8) {
		
			this->height_list[i] > -65 ? this->height_list[i] -= ofMap(noise_value, 0.8, 1, 5, 15) : this->height_list[i] = -65;
		}
		else {

			this->height_list[i] < 0 ? this->height_list[i] += 3 : this->height_list[i] = 0;
		}
	}

	int index = 0;
	for (auto v = 0; v < 360; v += v_span) {

		for (auto u = 0; u < 360; u += u_span) {

			auto height = this->height_list[index++];

			vector<glm::vec3> vertices;
			vertices.push_back(this->make_point(R, r, u, v));
			vertices.push_back(this->make_point(R, r, u + u_span, v));
			vertices.push_back(this->make_point(R, r, u + u_span, v + v_span));
			vertices.push_back(this->make_point(R, r, u, v + v_span));
			vertices.push_back(this->make_point(R, r + height, u, v));
			vertices.push_back(this->make_point(R, r + height, u + u_span, v));
			vertices.push_back(this->make_point(R, r + height, u + u_span, v + v_span));
			vertices.push_back(this->make_point(R, r + height, u, v + v_span));

			vector<glm::vec3> vertices_2;
			vertices_2.push_back(this->make_point(R, r, u, v, 0.999));
			vertices_2.push_back(this->make_point(R, r, u + u_span, v, 0.999));
			vertices_2.push_back(this->make_point(R, r, u + u_span, v + v_span, 0.999));
			vertices_2.push_back(this->make_point(R, r, u, v + v_span, 0.999));
			vertices_2.push_back(this->make_point(R, r + height, u, v, 0.999));
			vertices_2.push_back(this->make_point(R, r + height, u + u_span, v, 0.999));
			vertices_2.push_back(this->make_point(R, r + height, u + u_span, v + v_span, 0.999));
			vertices_2.push_back(this->make_point(R, r + height, u, v + v_span, 0.999));

			int index = this->face_mesh.getNumVertices();
			this->face_mesh.addVertices(vertices);
			this->frame_mesh.addVertices(vertices_2);

			// Face Index

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

			this->face_mesh.addIndex(index + 4); this->face_mesh.addIndex(index + 5); this->face_mesh.addIndex(index + 6);
			this->face_mesh.addIndex(index + 4); this->face_mesh.addIndex(index + 6); this->face_mesh.addIndex(index + 7);

			this->face_mesh.addIndex(index + 0); this->face_mesh.addIndex(index + 4); this->face_mesh.addIndex(index + 5);
			this->face_mesh.addIndex(index + 0); this->face_mesh.addIndex(index + 5); this->face_mesh.addIndex(index + 1);

			this->face_mesh.addIndex(index + 1); this->face_mesh.addIndex(index + 5); this->face_mesh.addIndex(index + 6);
			this->face_mesh.addIndex(index + 1); this->face_mesh.addIndex(index + 6); this->face_mesh.addIndex(index + 2);

			this->face_mesh.addIndex(index + 2); this->face_mesh.addIndex(index + 6); this->face_mesh.addIndex(index + 7);
			this->face_mesh.addIndex(index + 2); this->face_mesh.addIndex(index + 7); this->face_mesh.addIndex(index + 3);

			this->face_mesh.addIndex(index + 3); this->face_mesh.addIndex(index + 7); this->face_mesh.addIndex(index + 4);
			this->face_mesh.addIndex(index + 3); this->face_mesh.addIndex(index + 4); this->face_mesh.addIndex(index + 0);

			// Frame Index

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

			this->frame_mesh.addIndex(index + 4); this->frame_mesh.addIndex(index + 5);
			this->frame_mesh.addIndex(index + 5); this->frame_mesh.addIndex(index + 6);
			this->frame_mesh.addIndex(index + 6); this->frame_mesh.addIndex(index + 7);
			this->frame_mesh.addIndex(index + 7); this->frame_mesh.addIndex(index + 4);

			this->frame_mesh.addIndex(index + 0); this->frame_mesh.addIndex(index + 4);
			this->frame_mesh.addIndex(index + 1); this->frame_mesh.addIndex(index + 5);
			this->frame_mesh.addIndex(index + 2); this->frame_mesh.addIndex(index + 6);
			this->frame_mesh.addIndex(index + 3); this->frame_mesh.addIndex(index + 7);
		}
	}
}

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

	int R = 200;
	int r = 60;

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

	ofSetColor(0);
	this->face_mesh.drawFaces();

	ofSetColor(255);
	this->frame_mesh.drawWireframe();


	this->cam.end();
}

//--------------------------------------------------------------
glm::vec3 ofApp::make_point(float R, float r, float u, float v, float scale) {

	// 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) * scale) * cos(v);
	auto y = (R + r * cos(u) * scale) * sin(v);
	auto z = r * sin(u) * scale;

	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(0);

ofEnableDepthTest();

for (auto v = 0; v < 360; v += 2) {

for (auto u = 0; u < 360; u += 5) {

this->location_list.push_back(this->make_point(200, 80, u, v));

this->height_list.push_back(0);

}

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

}

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

void ofApp::update() {

ofSeedRandom(39);

this->face_mesh.clear();

this->frame_mesh.clear();

auto R = 200;

auto r = 80;

auto v_span = 2;

auto u_span = 5;

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

auto noise_value = ofNoise(glm::vec4(this->location_list[i] * 0.01, ofGetFrameNum() * 0.01));

if (noise_value > 0.8) {

this->height_list[i] > -65 ? this->height_list[i] -= ofMap(noise_value, 0.8, 1, 5, 15) : this->height_list[i] = -65;

}

else {

this->height_list[i] < 0 ? this->height_list[i] += 3 : this->height_list[i] = 0;

}

int index = 0;

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

for (auto u = 0; u < 360; u += u_span) {

auto height = this->height_list[index++];

vector<glm::vec3> vertices;

vertices.push_back(this->make_point(R, r, u, v));

vertices.push_back(this->make_point(R, r, u + u_span, v));

vertices.push_back(this->make_point(R, r, u + u_span, v + v_span));

vertices.push_back(this->make_point(R, r, u, v + v_span));

vertices.push_back(this->make_point(R, r + height, u, v));

vertices.push_back(this->make_point(R, r + height, u + u_span, v));

vertices.push_back(this->make_point(R, r + height, u + u_span, v + v_span));

vertices.push_back(this->make_point(R, r + height, u, v + v_span));

vector<glm::vec3> vertices_2;

vertices_2.push_back(this->make_point(R, r, u, v, 0.999));

vertices_2.push_back(this->make_point(R, r, u + u_span, v, 0.999));

vertices_2.push_back(this->make_point(R, r, u + u_span, v + v_span, 0.999));

vertices_2.push_back(this->make_point(R, r, u, v + v_span, 0.999));

vertices_2.push_back(this->make_point(R, r + height, u, v, 0.999));

vertices_2.push_back(this->make_point(R, r + height, u + u_span, v, 0.999));

vertices_2.push_back(this->make_point(R, r + height, u + u_span, v + v_span, 0.999));

vertices_2.push_back(this->make_point(R, r + height, u, v + v_span, 0.999));

int index = this->face_mesh.getNumVertices();

this->face_mesh.addVertices(vertices);

this->frame_mesh.addVertices(vertices_2);

// Face Index

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

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

this->face_mesh.addIndex(index + 4); this->face_mesh.addIndex(index + 5); this->face_mesh.addIndex(index + 6);

this->face_mesh.addIndex(index + 4); this->face_mesh.addIndex(index + 6); this->face_mesh.addIndex(index + 7);

this->face_mesh.addIndex(index + 0); this->face_mesh.addIndex(index + 4); this->face_mesh.addIndex(index + 5);

this->face_mesh.addIndex(index + 0); this->face_mesh.addIndex(index + 5); this->face_mesh.addIndex(index + 1);

this->face_mesh.addIndex(index + 1); this->face_mesh.addIndex(index + 5); this->face_mesh.addIndex(index + 6);

this->face_mesh.addIndex(index + 1); this->face_mesh.addIndex(index + 6); this->face_mesh.addIndex(index + 2);

this->face_mesh.addIndex(index + 2); this->face_mesh.addIndex(index + 6); this->face_mesh.addIndex(index + 7);

this->face_mesh.addIndex(index + 2); this->face_mesh.addIndex(index + 7); this->face_mesh.addIndex(index + 3);

this->face_mesh.addIndex(index + 3); this->face_mesh.addIndex(index + 7); this->face_mesh.addIndex(index + 4);

this->face_mesh.addIndex(index + 3); this->face_mesh.addIndex(index + 4); this->face_mesh.addIndex(index + 0);

// Frame Index

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

this->frame_mesh.addIndex(index + 1); this->frame_mesh.addIndex(index + 2);

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

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

this->frame_mesh.addIndex(index + 4); this->frame_mesh.addIndex(index + 5);

this->frame_mesh.addIndex(index + 5); this->frame_mesh.addIndex(index + 6);

this->frame_mesh.addIndex(index + 6); this->frame_mesh.addIndex(index + 7);

this->frame_mesh.addIndex(index + 7); this->frame_mesh.addIndex(index + 4);

this->frame_mesh.addIndex(index + 0); this->frame_mesh.addIndex(index + 4);

this->frame_mesh.addIndex(index + 1); this->frame_mesh.addIndex(index + 5);

this->frame_mesh.addIndex(index + 2); this->frame_mesh.addIndex(index + 6);

this->frame_mesh.addIndex(index + 3); this->frame_mesh.addIndex(index + 7);

}

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

void ofApp::draw() {

int R = 200;

int r = 60;

this->cam.begin();

ofRotateX(90);

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

ofRotateZ(ofGetFrameNum());

ofSetColor(0);

this->face_mesh.drawFaces();

ofSetColor(255);

this->frame_mesh.drawWireframe();

this->cam.end();

}

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

glm::vec3 ofApp::make_point(float R, float r, float u, float v, float scale) {

// 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) * scale) * cos(v);

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

auto z = r * sin(u) * scale;

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

}

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

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20230913

2023年9月12日

Alternate torus. Draw by openFrameworks

[ Video ]

[ Abouot ]
交互トーラス。

[ 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 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

2023年9月11日

Blood vessel of torus. Draw by openFrameworks

[ Video ]

[ About ]
トーラスの血管。

[ Source ]

#pragma once
#include "ofMain.h"

class Actor {
public:
	Actor(vector<glm::vec3>& location_list, vector<vector<int>>& next_index_list, vector<int>& destination_list);
	void update(const int& frame_span, vector<glm::vec3>& location_list, vector<vector<int>>& next_index_list, vector<int>& destination_list);
	glm::vec3 getLocation();
	vector<glm::vec3> getLog();
	void setColor(ofColor color);
	ofColor getColor();

private:

	int select_index;
	int next_index;

	glm::vec3 location;
	vector<glm::vec3> log;
	ofColor color;
};

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);

	vector<glm::vec3> location_list;
	vector<vector<int>> next_index_list;
	vector<int> destination_list;

	vector<unique_ptr<Actor>> actor_list;

	ofEasyCam cam;
};

#pragma once

#include "ofMain.h"

class Actor {

public:

Actor(vector<glm::vec3>& location_list, vector<vector<int>>& next_index_list, vector<int>& destination_list);

void update(const int& frame_span, vector<glm::vec3>& location_list, vector<vector<int>>& next_index_list, vector<int>& destination_list);

glm::vec3 getLocation();

vector<glm::vec3> getLog();

void setColor(ofColor color);

ofColor getColor();

private:

int select_index;

int next_index;

glm::vec3 location;

vector<glm::vec3> log;

ofColor color;

};

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);

vector<glm::vec3> location_list;

vector<vector<int>> next_index_list;

vector<int> destination_list;

vector<unique_ptr<Actor>> actor_list;

ofEasyCam cam;

};

#include "ofApp.h"	

//--------------------------------------------------------------
Actor::Actor(vector<glm::vec3>& location_list, vector<vector<int>>& next_index_list, vector<int>& destination_list) {

	this->select_index = ofRandom(location_list.size());
	while (true) {

		auto itr = find(destination_list.begin(), destination_list.end(), this->select_index);
		if (itr == destination_list.end()) {

			destination_list.push_back(this->select_index);
			break;
		}

		this->select_index = (this->select_index + 1) % location_list.size();
	}

	this->next_index = this->select_index;
}

//--------------------------------------------------------------
void Actor::update(const int& frame_span, vector<glm::vec3>& location_list, vector<vector<int>>& next_index_list, vector<int>& destination_list) {

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

		auto tmp_index = this->select_index;
		this->select_index = this->next_index;
		int retry = next_index_list[this->select_index].size();
		this->next_index = next_index_list[this->select_index][(int)ofRandom(next_index_list[this->select_index].size())];
		while (--retry > 0) {

			auto destination_itr = find(destination_list.begin(), destination_list.end(), this->next_index);
			if (destination_itr == destination_list.end()) {

				if (tmp_index != this->next_index) {

					destination_list.push_back(this->next_index);
					break;
				}
			}

			this->next_index = next_index_list[this->select_index][(this->next_index + 1) % next_index_list[this->select_index].size()];
		}
		if (retry <= 0) {

			destination_list.push_back(this->select_index);
			this->next_index = this->select_index;
		}
	}

	auto param = ofGetFrameNum() % frame_span;
	auto distance = location_list[this->next_index] - location_list[this->select_index];
	this->location = location_list[this->select_index] + distance / frame_span * param;

	this->log.push_back(this->location);
	while (this->log.size() > 12) { this->log.erase(this->log.begin()); }
}

//--------------------------------------------------------------
glm::vec3 Actor::getLocation() {

	return this->location;
}

//--------------------------------------------------------------
vector<glm::vec3> Actor::getLog() {

	return this->log;
}

//--------------------------------------------------------------
void Actor::setColor(ofColor color) {

	this->color = color;
}

//--------------------------------------------------------------
ofColor Actor::getColor() {

	return this->color;
}

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

	ofSetFrameRate(25);
	ofSetWindowTitle("openFrameworks");

	ofBackground(239);
	ofSetLineWidth(1.5);
	ofEnableDepthTest();

	int v_span = 3;
	int u_span = 15;
	int R = 331;
	int r = 60;
	for (int v = 0; v <= 360 * 6; v += v_span) {

		auto z = glm::vec3(0, 0, ofMap(v, 0, 360 * 6, -360 * 3, 360 * 3));
		for (int u = 0; u < 360; u += u_span) {

			this->location_list.push_back(this->make_point(R, r, u, v) + z);
		}
	}

	for (auto& location : this->location_list) {

		vector<int> next_index = vector<int>();
		int index = -1;
		for (auto& other : this->location_list) {

			index++;
			if (location == other) { continue; }

			float distance = glm::distance(location, other);
			auto threshold = ofMap(glm::length(glm::vec3(location.x, location.y, 0)), R - r, R + r, 19, 21);
			if (distance <= threshold) {

				next_index.push_back(index);
			}
		}

		this->next_index_list.push_back(next_index);
	}

	ofColor color;
	for (int i = 0; i < 3000; i++) {

		this->actor_list.push_back(make_unique<Actor>(this->location_list, this->next_index_list, this->destination_list));
		color.setHsb(ofRandom(255), 255, 255);
		this->actor_list.back()->setColor(color);
	}
}

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

	int frame_span = 2;
	int prev_index_size = 0;

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

		prev_index_size = this->destination_list.size();
	}

	for (auto& actor : this->actor_list) {

		actor->update(frame_span, this->location_list, this->next_index_list, this->destination_list);
	}

	if (prev_index_size != 0) {

		this->destination_list.erase(this->destination_list.begin(), this->destination_list.begin() + prev_index_size);
	}
}

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

	this->cam.begin();
	ofRotateY(90);
	ofRotateZ(ofGetFrameNum() * 0.1);

	ofMesh frame;
	frame.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);

	for (auto& actor : this->actor_list) {

		auto index = frame.getNumVertices();
		frame.addVertices(actor->getLog());

		for (int i = index; i < frame.getNumVertices(); i++) {

			frame.addColor(ofColor(128, 128, 255, ofMap(i, index, frame.getNumVertices(), 32, 255)));
			if (i > index) {
			
				frame.addIndex(i); frame.addIndex(i - 1);
			}
		}
	}
	frame.draw();

	ofMesh face;
	int v_span = 3;
	int u_span = 15;
	int R = 330;
	int r = 58;
	for (int v = 0; v <= 360 * 6; v += v_span) {

		auto z = glm::vec3(0, 0, ofMap(v, 0, 360 * 6, -360 * 3, 360 * 3));
		auto next_z = glm::vec3(0, 0, ofMap(v + v_span, 0, 360 * 6, -360 * 3, 360 * 3));
		auto next_u = u_span;
		for (int u = 0; u < 360; u += u_span) {

			face.addVertex(this->make_point(R, r, u, v) + z);
			face.addVertex(this->make_point(R, r, u + u_span, v) + z);
			face.addVertex(this->make_point(R, r, next_u + u_span, v + v_span) + next_z);
			face.addVertex(this->make_point(R, r, next_u, v + v_span) + next_z);

			face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 2); face.addIndex(face.getNumVertices() - 3);
			face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 3); face.addIndex(face.getNumVertices() - 4);

			next_u += u_span;
		}
	}

	ofSetColor(239);
	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"

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

Actor::Actor(vector<glm::vec3>& location_list, vector<vector<int>>& next_index_list, vector<int>& destination_list) {

this->select_index = ofRandom(location_list.size());

while (true) {

auto itr = find(destination_list.begin(), destination_list.end(), this->select_index);

if (itr == destination_list.end()) {

destination_list.push_back(this->select_index);

break;

}

this->select_index = (this->select_index + 1) % location_list.size();

}

this->next_index = this->select_index;

}

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

void Actor::update(const int& frame_span, vector<glm::vec3>& location_list, vector<vector<int>>& next_index_list, vector<int>& destination_list) {

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

auto tmp_index = this->select_index;

this->select_index = this->next_index;

int retry = next_index_list[this->select_index].size();

this->next_index = next_index_list[this->select_index][(int)ofRandom(next_index_list[this->select_index].size())];

while (--retry > 0) {

auto destination_itr = find(destination_list.begin(), destination_list.end(), this->next_index);

if (destination_itr == destination_list.end()) {

if (tmp_index != this->next_index) {

destination_list.push_back(this->next_index);

break;

}

this->next_index = next_index_list[this->select_index][(this->next_index + 1) % next_index_list[this->select_index].size()];

}

if (retry <= 0) {

destination_list.push_back(this->select_index);

this->next_index = this->select_index;

}

auto param = ofGetFrameNum() % frame_span;

auto distance = location_list[this->next_index] - location_list[this->select_index];

this->location = location_list[this->select_index] + distance / frame_span * param;

this->log.push_back(this->location);

while (this->log.size() > 12) { this->log.erase(this->log.begin()); }

}

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

glm::vec3 Actor::getLocation() {

return this->location;

}

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

vector<glm::vec3> Actor::getLog() {

return this->log;

}

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

void Actor::setColor(ofColor color) {

this->color = color;

}

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

ofColor Actor::getColor() {

return this->color;

}

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

void ofApp::setup() {

ofSetFrameRate(25);

ofSetWindowTitle("openFrameworks");

ofBackground(239);

ofSetLineWidth(1.5);

ofEnableDepthTest();

int v_span = 3;

int u_span = 15;

int R = 331;

int r = 60;

for (int v = 0; v <= 360 * 6; v += v_span) {

auto z = glm::vec3(0, 0, ofMap(v, 0, 360 * 6, -360 * 3, 360 * 3));

for (int u = 0; u < 360; u += u_span) {

this->location_list.push_back(this->make_point(R, r, u, v) + z);

}

for (auto& location : this->location_list) {

vector<int> next_index = vector<int>();

int index = -1;

for (auto& other : this->location_list) {

index++;

if (location == other) { continue; }

float distance = glm::distance(location, other);

auto threshold = ofMap(glm::length(glm::vec3(location.x, location.y, 0)), R - r, R + r, 19, 21);

if (distance <= threshold) {

next_index.push_back(index);

}

this->next_index_list.push_back(next_index);

}

ofColor color;

for (int i = 0; i < 3000; i++) {

this->actor_list.push_back(make_unique<Actor>(this->location_list, this->next_index_list, this->destination_list));

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

this->actor_list.back()->setColor(color);

}

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

void ofApp::update() {

int frame_span = 2;

int prev_index_size = 0;

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

prev_index_size = this->destination_list.size();

}

for (auto& actor : this->actor_list) {

actor->update(frame_span, this->location_list, this->next_index_list, this->destination_list);

}

if (prev_index_size != 0) {

this->destination_list.erase(this->destination_list.begin(), this->destination_list.begin() + prev_index_size);

}

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

void ofApp::draw() {

this->cam.begin();

ofRotateY(90);

ofRotateZ(ofGetFrameNum() * 0.1);

ofMesh frame;

frame.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);

for (auto& actor : this->actor_list) {

auto index = frame.getNumVertices();

frame.addVertices(actor->getLog());

for (int i = index; i < frame.getNumVertices(); i++) {

frame.addColor(ofColor(128, 128, 255, ofMap(i, index, frame.getNumVertices(), 32, 255)));

if (i > index) {

frame.addIndex(i); frame.addIndex(i - 1);

}

frame.draw();

ofMesh face;

int v_span = 3;

int u_span = 15;

int R = 330;

int r = 58;

for (int v = 0; v <= 360 * 6; v += v_span) {

auto z = glm::vec3(0, 0, ofMap(v, 0, 360 * 6, -360 * 3, 360 * 3));

auto next_z = glm::vec3(0, 0, ofMap(v + v_span, 0, 360 * 6, -360 * 3, 360 * 3));

auto next_u = u_span;

for (int u = 0; u < 360; u += u_span) {

face.addVertex(this->make_point(R, r, u, v) + z);

face.addVertex(this->make_point(R, r, u + u_span, v) + z);

face.addVertex(this->make_point(R, r, next_u + u_span, v + v_span) + next_z);

face.addVertex(this->make_point(R, r, next_u, v + v_span) + next_z);

face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 2); face.addIndex(face.getNumVertices() - 3);

face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 3); face.addIndex(face.getNumVertices() - 4);

next_u += u_span;

}

ofSetColor(239);

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/Insta20230911

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