ponder.ooo
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1
2import "/code/math/complex.js";
3
4const c = $complex.cartesian;
5
6export function projectiveShift(z, phi=0, psi=1) {
7 const xMag = c.mag(z);
8 const xAngle = c.angle(z);
9 const angleDiff = xAngle - phi;
10 const newMag = xMag + Math.cos(angleDiff);
11 return {
12 re: newMag * Math.cos(xAngle * psi),
13 im: newMag * Math.sin(xAngle * psi)
14 };
15}
16
17
18
19// claude-generated, not yet reviewed, probably jank
20function fullThing(z, phi, psi, c_val, d_val, twist, squoosh_x, squoosh_y) {
21 const shifted = projectiveShift(z, phi, psi);
22 const halfEbb = c.of(-c_val * 0.5, -d_val * 0.5);
23 const mid = c.add(shifted, halfEbb);
24 const mids = c.of(mid.re / squoosh_x, mid.im / squoosh_y);
25
26 const cosTwist = Math.cos(twist);
27 const sinTwist = Math.sin(twist);
28 const rotated = c.of(
29 mids.re * cosTwist - mids.im * sinTwist,
30 mids.re * sinTwist + mids.im * cosTwist
31 );
32
33 return c.add(rotated, halfEbb);
34}
35
36
37export function translatedProjectiveShift(z, t, phi=0, psi=1) {
38 const shifted = projectiveShift(z, phi, psi);
39 return c.sub(shifted, t);
40}
41
42