magarengBezier

magarengBezier(a, b, c, d, t)

magarengBezier(a, b, c, d, t) tells you where a point partway along a Bézier curve is. The first four numbers are the coordinates of the four points, in the order thalaBezier wants them. The fifth, t, is how far along you are: 0 is the start, 1 the end, and 0.5 halfway.

It does one axis at a time. Give it the x coordinates and you get x back; give it the y coordinates and you get y. So you call it twice.

The name comes from magareng. What is happening is a search for a value in between — as magareng finds a number between two others, and magarengMmala a colour between two colours. magarengBezier finds the one in between along a bending path rather than a straight line.

⚠ It does not clamp t. It reads as “a number between 0 and 1”, and nothing holds it there: magarengBezier(0, 0, 100, 100, 2) returns −400. Measured. Use thibela if you want it held.

Parameters

Name	Type	Description
a	palo	Coordinate of the first anchor point.
b	palo	Coordinate of the first control point.
c	palo	Coordinate of the second control point.
d	palo	Coordinate of the second anchor point.
t	palo	How far along the curve, between 0 and 1.

Examples

A dot travelling along the curve

Rerun ↻Open in editor ↗

metlha x1 = 40;
metlha y1 = 200;
metlha x2 = 100;
metlha y2 = 40;
metlha x3 = 300;
metlha y3 = 40;
metlha x4 = 360;
metlha y4 = 200;

tiro setaLoeto() {
  thalaKanefase(400, 240);
  tlhalosa('Konego e le nngwe e e menaganeng, le sediko se sekhibidu se se tsamayang go tswa ntlheng nngwe go ya go e nngwe le go boa.');
}

tiro tshwantsha() {
  bokamorago(245);
  tlogelaGoTlatsa();
  mothaloMmala(30, 90, 170);
  boketeMothalo(3);
  thalaBezier(x1, y1, x2, y2, x3, y3, x4, y4);

  metlha t = (sin(paloYaDikgato * 0.02) + 1) / 2;
  metlha x = magarengBezier(x1, x2, x3, x4, t);
  metlha y = magarengBezier(y1, y2, y3, y4, t);

  tlogelaMothalo();
  tlatsaMmala(220, 70, 90);
  thalaSediko(x, y, 16);
}

See also

thalaBezier, mothalokgomiBezier, magarengKonego, magareng, thibela