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// 1 root
        vec2 qos = d + (c + b*t)*t;
        res = length(qos);
    }else{
        float z = sqrt(-p);
        float v = acos( q/(p*z*2.0) ) / 3.0;
        float m = cos(v);
        float n = sin(v)*1.732050808;
        vec3 t = vec3(m + m, -n - m, n - m) * z - kx;
        t = clamp( t, 0.0, 1.0 );

// 3 roots
        vec2 qos = d + (c + b*t.x)*t.x;
        float dis = dot(qos,qos);
        
        res = dis;

qos = d + (c + b*t.y)*t.y;
        dis = dot(qos,qos);
        res = min(res,dis);
        
        qos = d + (c + b*t.z)*t.z;
        dis = dot(qos,qos);
        res = min(res,dis);

res = sqrt( res );
    }
    
    return res;
}

//http://mathworld.wolfram.com/HeartCurve.html
vec2 getHeartPosition(float t){
    return vec2(16.0 * sin(t) * sin(t) * sin(t),
                            -(13.0 * cos(t) - 5.0 * cos(2.0*t)
                            - 2.0 * cos(3.0*t) - cos(4.0*t)));
}

//https://www.shadertoy.com/view/3s3GDn
float getGlow(float dist, float radius, float intensity){
    return pow(radius/dist, intensity);
}

float getSegment(float t, vec2 pos, float offset, float scale){
    for(int i = 0; i < POINT_COUNT; i++){
        points[i] = getHeartPosition(offset + float(i)*len + fract(speed * t) * 6.28);
    }
    
    vec2 c = (points[0] + points[1]) / 2.0;
    vec2 c_prev;
    float dist = 10000.0;
    
    for(int i = 0; i < POINT_COUNT-1; i++){
        //https://tinyurl.com/y2htbwkm
        c_prev = c;
        c = (points[i] + points[i+1]) / 2.0;
        dist = min(dist, sdBezier(pos, scale * c_prev, scale * points[i], scale * c));
    }
    return max(0.0, dist);
}

void main(){
    vec2 uv = gl_FragCoord.xy/resolution.xy;
    float widthHeightRatio = resolution.x/resolution.y;
    vec2 centre = vec2(0.5, 0.5);
    vec2 pos = centre - uv;
    pos.y /= widthHeightRatio;
    //Shift upwards to centre heart
    pos.y += 0.02;
    float scale = 0.000015 * height;
    
    float t = time;
    
    //Get first segment
  float dist = getSegment(t, pos, 0.0, scale);
  float glow = getGlow(dist, radius, intensity);
  
  vec3 col = vec3(0.0);

//White core
  col += 10.0*vec3(smoothstep(0.003, 0.001, dist));
  //Pink glow
  col += glow * vec3(1.0,0.05,0.3);
  
  //Get second segment
  dist = getSegment(t, pos, 3.4, scale);
  glow = getGlow(dist, radius, intensity);
  
  //White core
  col += 10.0*vec3(smoothstep(0.003, 0.001, dist));
  //Blue glow
  col += glow * vec3(0.1,0.4,1.0);
        
    //Tone mapping
    col = 1.0 - exp(-col);

//Gamma
    col = pow(col, vec3(0.4545));

//Output to screen
     gl_FragColor = vec4(col,1.0);
}
`;

//************** Utility functions **************

window.addEventListener('resize', onWindowResize, false);

function onWindowResize(){
  canvas.width  = window.innerWidth;
  canvas.height = window.innerHeight;
    gl.viewport(0, 0, canvas.width, canvas.height);
  gl.uniform1f(widthHandle, window.innerWidth);
  gl.uniform1f(heightHandle, window.innerHeight);
}

//Compile shader and combine with source
function compileShader(shaderSource, shaderType){
  var shader = gl.createShader(shaderType);
  gl.shaderSource(shader, shaderSource);
  gl.compileShader(shader);
  if(!gl.getShaderParameter(shader, gl.COMPILE_STATUS)){
      throw "Shader compile failed with: " + gl.getShaderInfoLog(shader);
  }
  return shader;
}

//From https://codepen.io/jlfwong/pen/GqmroZ
//Utility to complain loudly if we fail to find the attribute/uniform
function getAttribLocation(program, name) {
  var attributeLocation = gl.getAttribLocation(program, name);
  if (attributeLocation === -1) {
      throw 'Cannot find attribute ' + name + '.';
  }
  return attributeLocation;
}

function getUniformLocation(program, name) {
  var attributeLocation = gl.getUniformLocation(program, name);
  if (attributeLocation === -1) {
      throw 'Cannot find uniform ' + name + '.';
  }
  return attributeLocation;
}

//************** Create shaders **************

//Create vertex and fragment shaders
var vertexShader = compileShader(vertexSource, gl.VERTEX_SHADER);
var fragmentShader = compileShader(fragmentSource, gl.FRAGMENT_SHADER);

//Create shader programs
var program = gl.createProgram();
gl.attachShader(program, vertexShader);
gl.attachShader(program, fragmentShader);
gl.linkProgram(program);

gl.useProgram(program);

//Set up rectangle covering entire canvas 
var vertexData = new Float32Array([
  -1.0,  1.0,     // top left
  -1.0, -1.0,     // bottom left
   1.0,  1.0,     // top right
   1.0, -1.0,     // bottom right
]);

//Create vertex buffer
var vertexDataBuffer = gl.createBuffer();
gl.bindBuffer(gl.ARRAY_BUFFER, vertexDataBuffer);
gl.bufferData(gl.ARRAY_BUFFER, vertexData, gl.STATIC_DRAW);

// Layout of our data in the vertex buffer
var positionHandle = getAttribLocation(program, 'position');

gl.enableVertexAttribArray(positionHandle);
gl.vertexAttribPointer(positionHandle,
  2,                 // position is a vec2 (2 values per component)
  gl.FLOAT, // each component is a float
  false,         // don't normalize values
  2 * 4,         // two 4 byte float components per vertex (32 bit float is 4 bytes)
  0                 // how many bytes inside the buffer to start from
  );

//Set uniform handle
var timeHandle = getUniformLocation(program, 'time');
var widthHandle = getUniformLocation(program, 'width');
var heightHandle = getUniformLocation(program, 'height');

gl.uniform1f(widthHandle, window.innerWidth);
gl.uniform1f(heightHandle, window.innerHeight);

var lastFrame = Date.now();
var thisFrame;

function draw(){
    
  //Update time
    thisFrame = Date.now();
  time += (thisFrame - lastFrame)/1000;    
    lastFrame = thisFrame;

//Send uniforms to program
  gl.uniform1f(timeHandle, time);
  //Draw a triangle strip connecting vertices 0-4
  gl.drawArrays(gl.TRIANGLE_STRIP, 0, 4);

requestAnimationFrame(draw);
}

draw();

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