Clotoid curve test (openFrameworks code)

ofApp.cpp

#include "ofApp.h"

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

	gui.setup();
	gui.add(T);
	gui.add(scale);
	gui.add(N);
	gui.add(inc.set("Angle Increment", T/(float)N, 0, 0.1));
	gui.add(startT);
	gui.add(power);
	
	gui.add(startPoint);
}

//--------------------------------------------------------------
void ofApp::draw(){
	
	float t=startT.get();
	glm::vec2 d;
	glm::vec2 prev = startPoint;
	glm::vec2 current;
	ofPolyline poly;
	float dt = T/N;
	float t2;
	for (size_t i = 0; i < N; i++) {
		t2 = pow(t, power.get());
		d.x = cos(t2) * dt;
		d.y = sin(t2) * dt;
		t += inc;
		current = prev + d;
		
		poly.lineTo(current.x * scale, current.y * scale);
		prev = current;
	}
	
	poly.draw();
	gui.draw();
}

ofApp.h

#pragma once

#include "ofMain.h"
#include "ofxGui.h"
class ofApp : public ofBaseApp{
	
public:
	void setup();
	void draw();
	
	ofxPanel gui;
	ofParameter<float> T = {"T", 3.8, 1, 10};
	ofParameter<float> scale = {"scale", 260, 1, 10000};
	ofParameter<float> inc;
	ofParameter<float> startT = {"start T", -1.25, -3, 3};
	
	ofParameter<float> power = {"power", 2, 0, 5};
	
	ofParameter<int>N = {"N", 5000, 1, 10000};
	
	ofParameter<glm::vec2> startPoint = {"Start Point", {1,1}, {0,0}, {1,1}};
};