Visualising numbers for which `sin(x)*s… by Agnes

function u(t) {

c.width=1920 // clear the canvas
for(i=0;i<9;i++)
x.fillRect(400+i*100+S(t)*300,400,50,200) // draw 50x200 rects

} // 122/140

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    u(t) is called 60 times per second.
    t: Elapsed time in seconds.
    S: Shorthand for Math.sin.
    C: Shorthand for Math.cos.
    T: Shorthand for Math.tan.
    R: Function that generates rgba-strings, usage ex.: R(255, 255, 255, 0.5)
    c: A 1920x1080 canvas.
    x: A 2D context for that canvas.

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Agnes

remix of d/8945 by u/firegodjr

function u(t) {

F=n=>{return C(n)*C(n)+S(n)*S(n)<1}
x.drawImage(c,0,l=10)
for(j=214;j--;)x.fillStyle=F(j^t*60)?"#0f0":"#000",x.fillRect(j*l,0,l,l)

Jul 28 2018 8:15 PM UTC

}// 130/140

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Visualising numbers for which sin(x)*sin(x) + cos(x)*cos(x) < 1.

u/donbright

wait wait wait wait wait.... sin^2 + cos^2 = 1. im so confused. is this about the imprecision of floating point arithmetic?
u/donbright

this is absolutely fascinating... set it ==1 or >1 gives different patterns.
u/donbright

also fun... return S(n)/C(n)==T(n)


      u(t) is called 60 times per second.
      t: elapsed time in seconds.
      c: A 1920x1080 canvas.
      x: A 2D context for that canvas.
      S: Math.sin
      C: Math.cos
      T: Math.tan
      R: Generates rgba-strings, ex.: R(255, 255, 255, 0.5)

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