A method for getting a point by distance and angle. While Math.atan2() returns an angle between the x-axis and a ray, Math.atan2Point() returns the point that creates a ray with given length and angle.
Math.atan2Point(
angle, distance, origin = [0,0]
)
- if
$\alpha$ equals$\text{atan2}(P_y,P_x)$ - if
$d$ equals$\sqrt{P_x^2 + P_y^2}$ (distance from$(0,0)$ to the point$P$ ) - then
$\text{atan2Point}(\alpha,d)$ equals$[P_x,P_y]$
const p = {x:2, y:4};
const q = {x:5, y:3};
const p0Dist = Math.hypot(p.x, p.y);
const pqDist = Math.hypot(p.x-q.x, p.y-q.y);
const p0Angle = Math.atan2(p.y, p.x);
const pqAngle = Math.atan2(
q.y-p.y,
q.x-p.x
);
console.log(
Math.atan2Point(
p0Angle, p0Dist
)
);
// should be: [2,4]
// is: [2,4]
console.log(
Math.atan2Point(
pqAngle, pqDist, [p.x,p.y]
)
);
// should be: [5,3]
// is: [5,3]
React
Typescript
Django
Laravel
Facebook
Microsoft
Google
Alibaba
D3
Tencent