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Viewing file:     MonotonicInterpolant.js (3.42 KB)      -rw-r--r--
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"use strict";

Object.defineProperty(exports, "__esModule", {
  value: true
});
exports.default = void 0;

function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }

function _defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } }

function _createClass(Constructor, protoProps, staticProps) { if (protoProps) _defineProperties(Constructor.prototype, protoProps); if (staticProps) _defineProperties(Constructor, staticProps); return Constructor; }

var MonotonicInterpolant =
/*#__PURE__*/
function () {
  function MonotonicInterpolant(xs, ys) {
    _classCallCheck(this, MonotonicInterpolant);

    var length = xs.length; // Rearrange xs and ys so that xs is sorted

    var indexes = [];

    for (var i = 0; i < length; i++) {
      indexes.push(i);
    }

    indexes.sort(function (a, b) {
      return xs[a] < xs[b] ? -1 : 1;
    }); // Get consecutive differences and slopes

    var dys = [];
    var dxs = [];
    var ms = [];
    var dx;
    var dy;

    for (var _i = 0; _i < length - 1; _i++) {
      dx = xs[_i + 1] - xs[_i];
      dy = ys[_i + 1] - ys[_i];
      dxs.push(dx);
      dys.push(dy);
      ms.push(dy / dx);
    } // Get degree-1 coefficients


    var c1s = [ms[0]];

    for (var _i2 = 0; _i2 < dxs.length - 1; _i2++) {
      var m2 = ms[_i2];
      var mNext = ms[_i2 + 1];

      if (m2 * mNext <= 0) {
        c1s.push(0);
      } else {
        dx = dxs[_i2];
        var dxNext = dxs[_i2 + 1];
        var common = dx + dxNext;
        c1s.push(3 * common / ((common + dxNext) / m2 + (common + dx) / mNext));
      }
    }

    c1s.push(ms[ms.length - 1]); // Get degree-2 and degree-3 coefficients

    var c2s = [];
    var c3s = [];
    var m;

    for (var _i3 = 0; _i3 < c1s.length - 1; _i3++) {
      m = ms[_i3];
      var c1 = c1s[_i3];
      var invDx = 1 / dxs[_i3];

      var _common = c1 + c1s[_i3 + 1] - m - m;

      c2s.push((m - c1 - _common) * invDx);
      c3s.push(_common * invDx * invDx);
    }

    this.xs = xs;
    this.ys = ys;
    this.c1s = c1s;
    this.c2s = c2s;
    this.c3s = c3s;
  }

  _createClass(MonotonicInterpolant, [{
    key: "interpolate",
    value: function interpolate(x) {
      var xs = this.xs,
          ys = this.ys,
          c1s = this.c1s,
          c2s = this.c2s,
          c3s = this.c3s; // The rightmost point in the dataset should give an exact result

      var i = xs.length - 1;

      if (x === xs[i]) {
        return ys[i];
      } // Search for the interval x is in, returning the corresponding y if x is one of the original xs


      var low = 0;
      var high = c3s.length - 1;
      var mid;

      while (low <= high) {
        mid = Math.floor(0.5 * (low + high));
        var xHere = xs[mid];

        if (xHere < x) {
          low = mid + 1;
        } else if (xHere > x) {
          high = mid - 1;
        } else {
          return ys[mid];
        }
      }

      i = Math.max(0, high); // Interpolate

      var diff = x - xs[i];
      var diffSq = diff * diff;
      return ys[i] + c1s[i] * diff + c2s[i] * diffSq + c3s[i] * diff * diffSq;
    }
  }]);

  return MonotonicInterpolant;
}();

exports.default = MonotonicInterpolant;

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