function checkAsymptote (d0, d1, meta, sign, level) {
if (!level) {
return {
asymptote: true,
d0: d0,
d1: d1
}
}
var i
var n = 10
var x0 = d0[0]
var x1 = d1[0]
var samples = linspace(x0, x1, n)
var oldY, oldX
for (i = 0; i < n; i += 1) {
var x = samples[i]
var y = evaluate(meta, 'fn', {x: x})
if (i) {
var deltaY = y - oldY
var newSign = utils.sgn(deltaY)
if (newSign === sign) {
return checkAsymptote([oldX, oldY], [x, y], meta, sign, level - 1)
}
}
oldY = y
oldX = x
}
return {
asymptote: false,
d0: d0,
d1: d1
}
}
export const bezier = (startPoint, endPoint, extend, num=15) => { // returns Bezier curve starting at first point in pair, curving towards the second point in pair and
const midPoint = computeMidpoint(startPoint, endPoint, extend);
const pathControl = [startPoint, midPoint, endPoint];
const N = _range(pathControl.length); // number of points in [start, mid, end] that will be used to compute the curve
const t = linspace(0.0, 1.0, num); // num points spaced evenly between fractions of the total curve path (0 = beginning, 1 = end)
const curve = [];
_range(num).forEach((i) => {
curve[i] = {x: 0, y: 0};
});
N.forEach((ii) => { // iterate over provided points
const B_func = bernstein(N.length - 1, ii); // get Bernstein polynomial
const tB = t.map(B_func); // apply Bernstein polynomial to linspace
const P = [pathControl[ii].x, pathControl[ii].y];
const prod_idx = outerProducts([_range(tB.length), _range(P.length)]); // get indices for outer product
_range(curve.length).forEach((j) => { // iterate over future curve, adjust each point's coordinate
curve[j].x += tB[prod_idx[j][0]] * P[prod_idx[j][1]]; // update x coordinate for curve with outer product
curve[j].y += tB[prod_idx[j+num][0]] * P[prod_idx[j+num][1]]; // update y coordinate for curve with outer product
});
});
return curve;
};
space: function (chart, range, n) {
var lo = range[0]
var hi = range[1]
if (chart.options.xAxis.type === 'log') {
return logspace(log10(lo), log10(hi), n)
}
// default is linear
return linspace(lo, hi, n)
},
var linspace = require('linspace');
var t = linspace(-1,1.2,2000);
var x = (Math.pow(t, 3)) + (0.3 * (Math.random() * 2000));
var y = (Math.pow(t, 6)) + (0.3 * (Math.random() * 2000));
var trace1 = {
x: x,
y: y,
mode: "markers",
name: "points",
marker: {
color: "rgb(102,0,0)",
size: 2,
opacity: 0.4
},
type: "scatter"
};
var trace2 = {
x: x,
y: y,
name: "density",
ncontours: 20,
colorscale: "Hot",
reversescale: true,
showscale: false,
type: "histogram2dcontour"
};
var trace3 = {
x: x,
name: "x density",