/*
title: Golden Rose
category: surface
titleCN: Golden Rose
*/
var sin = Math.sin;
var cos = Math.cos;
var pow = Math.pow;
var sqrt = Math.sqrt;
var cosh = Math.cosh;
var sinh = Math.sinh;
var exp = Math.exp;
var PI = Math.PI;
var square = function (x) {
  return x * x;
};
var mod2 = function (a, b) {
  var c = a % b;
  return c > 0 ? c : c + b;
};
var theta1 = -(20 / 9) * PI;
var theta2 = 15 * PI;
function getParametricEquation(dx, dy) {
  return {
    u: {
      min: 0,
      max: 1,
      step: 1 / 24
    },
    v: {
      min: theta1,
      max: theta2,
      step: (theta2 - theta1) / 575
    },
    x: function (x1, theta) {
      var phi = (PI / 2) * exp(-theta / (8 * PI));
      var y1 =
        1.9565284531299512 *
        square(x1) *
        square(1.2768869870150188 * x1 - 1) *
        sin(phi);
      var X =
        1 -
        square(1.25 * square(1 - mod2(3.6 * theta, 2 * PI) / PI) - 0.25) / 2;
      var r = X * (x1 * sin(phi) + y1 * cos(phi));
      return r * sin(theta) + dx;
    },
    y: function (x1, theta) {
      var phi = (PI / 2) * exp(-theta / (8 * PI));
      var y1 =
        1.9565284531299512 *
        square(x1) *
        square(1.2768869870150188 * x1 - 1) *
        sin(phi);
      var X =
        1 -
        square(1.25 * square(1 - mod2(3.6 * theta, 2 * PI) / PI) - 0.25) / 2;
      var r = X * (x1 * sin(phi) + y1 * cos(phi));
      return r * cos(theta) + dy;
    },
    z: function (x1, theta) {
      var phi = (PI / 2) * exp(-theta / (8 * PI));
      var y1 =
        1.9565284531299512 *
        square(x1) *
        square(1.2768869870150188 * x1 - 1) *
        sin(phi);
      var X =
        1 -
        square(1.25 * square(1 - mod2(3.6 * theta, 2 * PI) / PI) - 0.25) / 2;
      var r = X * (x1 * sin(phi) + y1 * cos(phi));
      return X * (x1 * cos(phi) - y1 * sin(phi));
    }
  };
}
function createSeries(dx, dy, color) {
  return {
    type: 'surface',
    parametric: true,
    shading: 'realistic',
    silent: true,
    wireframe: {
      show: false
    },
    realisticMaterial: {
      roughness: 0.3,
      metalness: 1
    },
    itemStyle: {
      color: color || [2, 1.5, 0.2]
    },
    parametricEquation: getParametricEquation(dx, dy)
  };
}
option = {
  toolbox: {
    feature: {
      saveAsImage: {
        backgroundColor: '#111'
      }
    },
    iconStyle: {
      normal: {
        borderColor: '#fff'
      }
    },
    left: 0
  },
  xAxis3D: {
    type: 'value'
  },
  yAxis3D: {
    type: 'value'
  },
  zAxis3D: {
    type: 'value'
  },
  grid3D: {
    show: false,
    boxWidth: 200,
    boxDepth: 200,
    axisPointer: {
      show: false
    },
    axisLine: {
      lineStyle: {
        color: '#fff'
      }
    },
    postEffect: {
      enable: true,
      SSAO: {
        enable: true,
        radius: 10,
        intensity: 1
      },
      depthOfField: {
        enable: true
      }
    },
    temporalSuperSampling: {
      enable: true
    },
    light: {
      main: {
        intensity: 1,
        shadow: true
      },
      ambient: {
        intensity: 0
      },
      ambientCubemap: {
        texture: ROOT_PATH + '/data-gl/asset/pisa.hdr',
        exposure: 1,
        diffuseIntensity: 1,
        specularIntensity: 1
      }
    },
    viewControl: {
      // projection: 'orthographic'
    }
  },
  series: [
    createSeries(1.5, 1.5),
    createSeries(-1.5, -1.5),
    createSeries(-1.5, 1.5),
    createSeries(1.5, -1.5),
    createSeries(0, 0)
  ]
};