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📦 polf

Find point coordinates inside line functions between a range t from 0 to 1.

npm install polf

> const { lineXY } = require("polf");
> lineXY([0, 0], [10, 10], .5)
[ 5, 5 ]

# lineXY(p0, p1, t) ⇒ array

Computes the coordinate of a point in a line parametrized in the range t from 0 to 1.

Algorithm: B(t) = p0 + (p1 - p0) * t , 0 <= t <= 1

p0 (array) Start point coordinate.
p1 (array) End point coordinate.
t (number) Number in the range from 0 to 1 that parametrizes the location on the line.

# cubicBezierXY(p0, p1, p2, p3, t) ⇒ array

Computes the coordinate of a point in a cubic Bézier curve parametrized in the range t from 0 to 1.

Algorithm: B(t) = (1-t)^3 * p0 + 3*(1-t)^2 * t * p1 + 3*(1-t)^2 * p2 + t^3 * p3 , 0 <= t <= 1

p0 (array) Start point coordinate.
p1 (array) First control point coordinate.
p2 (array) Second control point coordinate.
p3 (array) End point coordinate.
t (number) Number in the range from 0 to 1 that parametrizes the location on the curve.

# quadraticBezierXY(p0, p1, p2, t) ⇒ array

Computes the coordinate of a point in a quadratic Bézier curve parametrized in the range t from 0 to 1.

Algorithm: B(t) = (1-t) * 2 * p0 + 2*(1-t)*t * p1 + t2 * p2 , 0 <= t <= 1

p0 (array) Start point coordinate.
p1 (array) Coordinate of the control point.
p2 (array) End point coordinate.
t (number) Number in the range from 0 to 1 that parametrizes the location on the curve.

# ellipticalArcXY(p0, rx, ry, xAxisRotation, largeArc, sweep, p1, t) ⇒ array

Computes the coordinate of a point in a elliptical arc parametrized in the range t from 0 to 1.

p0 (array) Start point coordinate.
rx (number) X radius of the arc.
ry (number) Y radius of the arc.
xAxisRotation (number) Rotation in X of the arc in degrees.
largeArc (boolean) large-arc flag that specifies how the arc is drawn.
sweep (boolean) sweep flag that specifies how the arc is drawn.
p1 (array) End point coordinate.
t (number) Number in the range from 0 to 1 that parametrizes the location on the arc.