slides/webgl/asset/common/d3-contour.js

// https://d3js.org/d3-contour/ Version 1.1.0. Copyright 2017 Mike Bostock.
(function (global, factory) {
    typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports, require('d3-array')) :
    typeof define === 'function' && define.amd ? define(['exports', 'd3-array'], factory) :
    (factory((global.d3 = global.d3 || {}),global.d3));
}(this, (function (exports,d3Array) { 'use strict';

var array = Array.prototype;

var slice = array.slice;

var ascending = function(a, b) {
  return a - b;
};

var area = function(ring) {
  var i = 0, n = ring.length, area = ring[n - 1][1] * ring[0][0] - ring[n - 1][0] * ring[0][1];
  while (++i < n) area += ring[i - 1][1] * ring[i][0] - ring[i - 1][0] * ring[i][1];
  return area;
};

var constant = function(x) {
  return function() {
    return x;
  };
};

var contains = function(ring, hole) {
  var i = -1, n = hole.length, c;
  while (++i < n) if (c = ringContains(ring, hole[i])) return c;
  return 0;
};

function ringContains(ring, point) {
  var x = point[0], y = point[1], contains = -1;
  for (var i = 0, n = ring.length, j = n - 1; i < n; j = i++) {
    var pi = ring[i], xi = pi[0], yi = pi[1], pj = ring[j], xj = pj[0], yj = pj[1];
    if (segmentContains(pi, pj, point)) return 0;
    if (((yi > y) !== (yj > y)) && ((x < (xj - xi) * (y - yi) / (yj - yi) + xi))) contains = -contains;
  }
  return contains;
}

function segmentContains(a, b, c) {
  var i; return collinear(a, b, c) && within(a[i = +(a[0] === b[0])], c[i], b[i]);
}

function collinear(a, b, c) {
  return (b[0] - a[0]) * (c[1] - a[1]) === (c[0] - a[0]) * (b[1] - a[1]);
}

function within(p, q, r) {
  return p <= q && q <= r || r <= q && q <= p;
}

var noop = function() {};

var cases = [
  [],
  [[[1,1.5],[0.5,1]]],
  [[[1.5,1],[1,1.5]]],
  [[[1.5,1],[0.5,1]]],
  [[[1,0.5],[1.5,1]]],
  [[[1,0.5],[0.5,1]],[[1,1.5],[1.5,1]]],
  [[[1,0.5],[1,1.5]]],
  [[[1,0.5],[0.5,1]]],
  [[[0.5,1],[1,0.5]]],
  [[[1,1.5],[1,0.5]]],
  [[[0.5,1],[1,1.5]],[[1.5,1],[1,0.5]]],
  [[[1.5,1],[1,0.5]]],
  [[[0.5,1],[1.5,1]]],
  [[[1,1.5],[1.5,1]]],
  [[[0.5,1],[1,1.5]]],
  []
];

var contours = function() {
  var dx = 1,
      dy = 1,
      threshold = d3Array.thresholdSturges,
      smooth = smoothLinear;

  function contours(values) {
    var tz = threshold(values);

    // Convert number of thresholds into uniform thresholds.
    if (!Array.isArray(tz)) {
      var domain = d3Array.extent(values), start = domain[0], stop = domain[1];
      tz = d3Array.tickStep(start, stop, tz);
      tz = d3Array.range(Math.floor(start / tz) * tz, Math.floor(stop / tz) * tz, tz);
    } else {
      tz = tz.slice().sort(ascending);
    }

    // Accumulate, smooth contour rings, assign holes to exterior rings.
    // Based on https://github.com/mbostock/shapefile/blob/v0.6.2/shp/polygon.js
    var layers = tz.map(function(value) {
      var polygons = [],
          holes = [];

      isorings(values, value, function(ring) {
        smooth(ring, values, value);
        if (area(ring) > 0) polygons.push([ring]);
        else holes.push(ring);
      });

      holes.forEach(function(hole) {
        for (var i = 0, n = polygons.length, polygon; i < n; ++i) {
          if (contains((polygon = polygons[i])[0], hole)) {
            polygon.push(hole);
            return;
          }
        }
      });

      return polygons;
    });

    return layers.map(function(polygons, i) {
      return {
        type: "MultiPolygon",
        value: tz[i],
        coordinates: polygons
      };
    });
  }

  // Marching squares with isolines stitched into rings.
  // Based on https://github.com/topojson/topojson-client/blob/v3.0.0/src/stitch.js
  function isorings(values, value, callback) {
    var fragmentByStart = new Array,
        fragmentByEnd = new Array,
        x, y, t0, t1, t2, t3;

    // Special case for the first row (y = -1, t2 = t3 = 0).
    x = y = -1;
    t1 = values[0] >= value;
    cases[t1 << 1].forEach(stitch);
    while (++x < dx - 1) {
      t0 = t1, t1 = values[x + 1] >= value;
      cases[t0 | t1 << 1].forEach(stitch);
    }
    cases[t1 << 0].forEach(stitch);

    // General case for the intermediate rows.
    while (++y < dy - 1) {
      x = -1;
      t1 = values[y * dx + dx] >= value;
      t2 = values[y * dx] >= value;
      cases[t1 << 1 | t2 << 2].forEach(stitch);
      while (++x < dx - 1) {
        t0 = t1, t1 = values[y * dx + dx + x + 1] >= value;
        t3 = t2, t2 = values[y * dx + x + 1] >= value;
        cases[t0 | t1 << 1 | t2 << 2 | t3 << 3].forEach(stitch);
      }
      cases[t1 | t2 << 3].forEach(stitch);
    }

    // Special case for the last row (y = dy - 1, t0 = t1 = 0).
    x = -1;
    t2 = values[y * dx] >= value;
    cases[t2 << 2].forEach(stitch);
    while (++x < dx - 1) {
      t3 = t2, t2 = values[y * dx + x + 1] >= value;
      cases[t2 << 2 | t3 << 3].forEach(stitch);
    }
    cases[t2 << 3].forEach(stitch);

    function stitch(line) {
      var start = [line[0][0] + x, line[0][1] + y],
          end = [line[1][0] + x, line[1][1] + y],
          startIndex = index(start),
          endIndex = index(end),
          f, g;
      if (f = fragmentByEnd[startIndex]) {
        if (g = fragmentByStart[endIndex]) {
          delete fragmentByEnd[f.end];
          delete fragmentByStart[g.start];
          if (f === g) {
            f.ring.push(end);
            callback(f.ring);
          } else {
            fragmentByStart[f.start] = fragmentByEnd[g.end] = {start: f.start, end: g.end, ring: f.ring.concat(g.ring)};
          }
        } else {
          delete fragmentByEnd[f.end];
          f.ring.push(end);
          fragmentByEnd[f.end = endIndex] = f;
        }
      } else if (f = fragmentByStart[endIndex]) {
        if (g = fragmentByEnd[startIndex]) {
          delete fragmentByStart[f.start];
          delete fragmentByEnd[g.end];
          if (f === g) {
            f.ring.push(end);
            callback(f.ring);
          } else {
            fragmentByStart[g.start] = fragmentByEnd[f.end] = {start: g.start, end: f.end, ring: g.ring.concat(f.ring)};
          }
        } else {
          delete fragmentByStart[f.start];
          f.ring.unshift(start);
          fragmentByStart[f.start = startIndex] = f;
        }
      } else {
        fragmentByStart[startIndex] = fragmentByEnd[endIndex] = {start: startIndex, end: endIndex, ring: [start, end]};
      }
    }
  }

  function index(point) {
    return point[0] * 2 + point[1] * (dx + 1) * 4;
  }

  function smoothLinear(ring, values, value) {
    ring.forEach(function(point) {
      var x = point[0],
          y = point[1],
          xt = x | 0,
          yt = y | 0,
          v0,
          v1 = values[yt * dx + xt];
      if (x > 0 && x < dx && xt === x) {
        v0 = values[yt * dx + xt - 1];
        point[0] = x + (value - v0) / (v1 - v0) - 0.5;
      }
      if (y > 0 && y < dy && yt === y) {
        v0 = values[(yt - 1) * dx + xt];
        point[1] = y + (value - v0) / (v1 - v0) - 0.5;
      }
    });
  }

  contours.size = function(_) {
    if (!arguments.length) return [dx, dy];
    var _0 = Math.ceil(_[0]), _1 = Math.ceil(_[1]);
    if (!(_0 > 0) || !(_1 > 0)) throw new Error("invalid size");
    return dx = _0, dy = _1, contours;
  };

  contours.thresholds = function(_) {
    return arguments.length ? (threshold = typeof _ === "function" ? _ : Array.isArray(_) ? constant(slice.call(_)) : constant(_), contours) : threshold;
  };

  contours.smooth = function(_) {
    return arguments.length ? (smooth = _ ? smoothLinear : noop, contours) : smooth === smoothLinear;
  };

  return contours;
};

// TODO Optimize edge cases.
// TODO Optimize index calculation.
// TODO Optimize arguments.
function blurX(source, target, r) {
  var n = source.width,
      m = source.height,
      w = (r << 1) + 1;
  for (var j = 0; j < m; ++j) {
    for (var i = 0, sr = 0; i < n + r; ++i) {
      if (i < n) {
        sr += source.data[i + j * n];
      }
      if (i >= r) {
        if (i >= w) {
          sr -= source.data[i - w + j * n];
        }
        target.data[i - r + j * n] = sr / Math.min(i + 1, n - 1 + w - i, w);
      }
    }
  }
}

// TODO Optimize edge cases.
// TODO Optimize index calculation.
// TODO Optimize arguments.
function blurY(source, target, r) {
  var n = source.width,
      m = source.height,
      w = (r << 1) + 1;
  for (var i = 0; i < n; ++i) {
    for (var j = 0, sr = 0; j < m + r; ++j) {
      if (j < m) {
        sr += source.data[i + j * n];
      }
      if (j >= r) {
        if (j >= w) {
          sr -= source.data[i + (j - w) * n];
        }
        target.data[i + (j - r) * n] = sr / Math.min(j + 1, m - 1 + w - j, w);
      }
    }
  }
}

function defaultX(d) {
  return d[0];
}

function defaultY(d) {
  return d[1];
}

var density = function() {
  var x = defaultX,
      y = defaultY,
      dx = 960,
      dy = 500,
      r = 20, // blur radius
      k = 2, // log2(grid cell size)
      o = r * 3, // grid offset, to pad for blur
      n = (dx + o * 2) >> k, // grid width
      m = (dy + o * 2) >> k, // grid height
      threshold = constant(20);

  function density(data) {
    var values0 = new Float32Array(n * m),
        values1 = new Float32Array(n * m);

    data.forEach(function(d, i, data) {
      var xi = (x(d, i, data) + o) >> k,
          yi = (y(d, i, data) + o) >> k;
      if (xi >= 0 && xi < n && yi >= 0 && yi < m) {
        ++values0[xi + yi * n];
      }
    });

    // TODO Optimize.
    blurX({width: n, height: m, data: values0}, {width: n, height: m, data: values1}, r >> k);
    blurY({width: n, height: m, data: values1}, {width: n, height: m, data: values0}, r >> k);
    blurX({width: n, height: m, data: values0}, {width: n, height: m, data: values1}, r >> k);
    blurY({width: n, height: m, data: values1}, {width: n, height: m, data: values0}, r >> k);
    blurX({width: n, height: m, data: values0}, {width: n, height: m, data: values1}, r >> k);
    blurY({width: n, height: m, data: values1}, {width: n, height: m, data: values0}, r >> k);

    var tz = threshold(values0);

    // Convert number of thresholds into uniform thresholds.
    if (!Array.isArray(tz)) {
      var stop = d3Array.max(values0);
      tz = d3Array.tickStep(0, stop, tz);
      tz = d3Array.range(0, Math.floor(stop / tz) * tz, tz);
      tz.shift();
    }

    return contours()
        .thresholds(tz)
        .size([n, m])
      (values0)
        .map(transform);
  }

  function transform(geometry) {
    geometry.value *= Math.pow(2, -2 * k); // Density in points per square pixel.
    geometry.coordinates.forEach(transformPolygon);
    return geometry;
  }

  function transformPolygon(coordinates) {
    coordinates.forEach(transformRing);
  }

  function transformRing(coordinates) {
    coordinates.forEach(transformPoint);
  }

  // TODO Optimize.
  function transformPoint(coordinates) {
    coordinates[0] = coordinates[0] * Math.pow(2, k) - o;
    coordinates[1] = coordinates[1] * Math.pow(2, k) - o;
  }

  function resize() {
    o = r * 3;
    n = (dx + o * 2) >> k;
    m = (dy + o * 2) >> k;
    return density;
  }

  density.x = function(_) {
    return arguments.length ? (x = typeof _ === "function" ? _ : constant(+_), density) : x;
  };

  density.y = function(_) {
    return arguments.length ? (y = typeof _ === "function" ? _ : constant(+_), density) : y;
  };

  density.size = function(_) {
    if (!arguments.length) return [dx, dy];
    var _0 = Math.ceil(_[0]), _1 = Math.ceil(_[1]);
    if (!(_0 >= 0) && !(_0 >= 0)) throw new Error("invalid size");
    return dx = _0, dy = _1, resize();
  };

  density.cellSize = function(_) {
    if (!arguments.length) return 1 << k;
    if (!((_ = +_) >= 1)) throw new Error("invalid cell size");
    return k = Math.floor(Math.log(_) / Math.LN2), resize();
  };

  density.thresholds = function(_) {
    return arguments.length ? (threshold = typeof _ === "function" ? _ : Array.isArray(_) ? constant(slice.call(_)) : constant(_), density) : threshold;
  };

  density.bandwidth = function(_) {
    if (!arguments.length) return Math.sqrt(r * (r + 1));
    if (!((_ = +_) >= 0)) throw new Error("invalid bandwidth");
    return r = Math.round((Math.sqrt(4 * _ * _ + 1) - 1) / 2), resize();
  };

  return density;
};

exports.contours = contours;
exports.contourDensity = density;

Object.defineProperty(exports, '__esModule', { value: true });

})));