New #math dweets

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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taupelink

remix of d/14398 by u/taupelink

function u(t) {

t?(a=f(n++),N<1e15?(c=N/D,[N,M,D,E]=[a*N+M,N,a*D+E,D]):0):(c=n=M=D=0,N=E=1,f=X=>[1,2*X/3|0,1][X%3])
throw N+' / '+D+' = '+c

Jun 3 2019 12:49 AM UTC

}// 123/140

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Remix with numerator / denominator

u/taupelink

#math

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taupelink

function u(t) {

t?(a=f(n++),N<1e999?c=N/D:0,[N,M,D,E]=[a*N+M,N,a*D+E,D]):(c=n=M=D=0,N=E=1,f=X=>[1,2*X/3|0,1][X%3])
throw c

Jun 3 2019 12:43 AM UTC

}// 106/140

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Continued fraction approximation of e. Replace the formula for f to generate other continued fractions. #math

u/taupelink

Hat-tip to users robbyg for d/14305 and pavel for d/14331...Dunno whether what I have here ought to have been a remix. :)

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katkip

function u(t) {

t||(s='');for(i=9;i-->2;){s+=(f=z=>`${frame*z}=${q=(Math.random()*frame)|0}+${frame-q}\n`)(i)};p=s;s='';throw p;

Jun 2 2019 1:14 PM UTC

}// 112/140

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#math

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taupelink

remix of d/14313 by u/taupelink

function u(t) {

t||(a=12345,b=6789,n=1,r=0)
a&&(x.font=`5em"`,
r=a%b,s=a+(b?'='+~~(a/b)+'*'+b+'+'+r:''),
x.fillText(s,0,n++*90),
a=b,b=r)

Jun 1 2019 3:31 PM UTC

}// 121/140

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Euclidean algorithm, after some ?code golfing? #math #iterative

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rodrigo.siqueira

function u(t) {

D=(a,b)=>{L=a.length,i=r=0,R='';while(i<53){d=i<L?~~(a[i]):0,R+=(i==L?".":"")+~~((K=d+(r*10))/b),r=K%b,i++}throw(a+"/"+b+"="+R)};D("1",9998)

May 30 2019 5:23 PM UTC

}// 140/140

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BigFloat in 140 chars! This is the Long Division Algorithm used here to calculate 1/9998. Note that this simple division results in Powers of Two: 0001, 0002, 0004, 0008, 0016, 0032, 0064.... Try to change 9998 for 9997 and you will see Powers of Three (1, 3, 9, 27, 81...). Guess what 9996 does? D is the division function. (a,b) are (numerator, denominator). 53 is precision (number of digits). Add more "9" to fit larger power numbers. E.g. To see powers up to 2**40 (that is 1099511627776), change denominator from 9998 to 9999999999998 and total number of digits from 53 to 534.

u/rodrigo.siqueira

I have discovered a truly remarkable demonstration of this result, but this comment is too small to contain.
u/joeytwiddle

#math #division
u/marc8

quoting Fermat... LOL

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taupelink

function u(t) {

g=(X,Y,n,s)=>{if(Y==0)s=X;else{r=X%Y;s=X+'='+Math.floor(X/Y)+'*'+Y+'+'+r;g(Y,r,n+1)}x.fillText(s,0,n*90)}
x.font=`5em"`;g(12345,6789,1)

May 30 2019 2:19 AM UTC

}// 136/140

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Euclidean algorithm #math #recursive #recursion (my first dweet!)

u/Xen

nice work!!!

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robbyg

function u(t) {

c=t?c+4:1;throw p=(t?p:0)+4/c-4/(c+2)

May 29 2019 5:22 PM UTC

}// 37/140

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Calculating #pi based on a formula I found in a Commodore 64 manual. Googling says it's the Gregory-Leibniz series.

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katkip

remix of d/14138 by u/katkip

function u(t) {

c.width*=1;t||(X=80,Y=40,v=20,V=8);x.fillStyle=R(V*9);x.fillRect(X,Y,99,99);X+=v,Y+=V;V++;if(Y>989)V*=-.9;if(X>1831||X<0)v*=-.9;v*=1.001;

May 24 2019 2:28 PM UTC

}// 137/140

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#physics #collision #hitbox #rect #bounce #bouncy #velocity #gravity #simulation #math

u/katkip

Less friction

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katkip

function u(t) {

c.width*=1;t||(X=80,Y=40,v=20,V=8);x.fillRect(X,Y,99,99);X+=v,Y+=V;V++;if(Y>989)V*=-.7;if(X>1831)v*=-.5;v/=1.005

May 24 2019 2:24 PM UTC

}// 112/140

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#collision #hitbox #square #physics #fall #math #velocity

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marc8

remix of d/14032 by u/marc8

function u(t) {

with(Math){a=-t;b=t;f=X=>1/cosh(X)
w=c.width|=p=i=0
s=w/frame
for(k=(b-a)/w;p<w;)x.fillRect(p+=s,q=w/4,s,-q*(y=f(a+k*p)),i+=k*s*y)
throw(i)}

May 21 2019 7:18 AM UTC

}// 140/140

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Infinity integration limits: use ±t for ±∞. Convergence not guaranteed.

u/13thptr

great
u/13thptr

#math

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