Rational Examples Index   <<   >>


 
   (1÷2) + 1÷3
0.8333333333

   1r2 + 1r3
5r6

   (5÷6) - (1÷2) + 1÷3
1.110223025E¯16

   5r6 - 1r2 + 1r3
0

   +∘÷\ 7 ⍴ 1
1 2 1.5 1.666666667 1.6 1.625 1.615384615

   +∘÷\ 7 ⍴ 1r1
1 2 3r2 5r3 8r5 13r8 21r13 

   +∘÷/ 7 ⍴ 1r1
21r13

   +∘÷/ 200 ⍴ 1r1
453973694165307953197296969697410619233826r28057...

   60 ⍕ +∘÷/ 200 ⍴ 1r1
 1.618033988749894848204586834365638117720309179805762862135449

   x ← 0.01 × ¯4e3 + ?4 4⍴1e4
   x +.× ⌹x
1.000000000E0   ¯2.498001805E¯16  1.110223025E¯16  5.551115123E¯17
2.775557562E¯17  1.000000000E0   ¯5.551115123E¯17 ¯5.551115123E¯17
2.775557562E¯17 ¯1.387778781E¯16  1.000000000E0    0.000000000E0  
1.110223025E¯16  0.000000000E0   ¯3.330669074E¯16  1.000000000E0 

   ⎕ ← q ←  x
 5617r100   521r10  3701r100  ¯1517r50
   141r20 ¯1501r50 ¯1829r100  ¯1227r50
  2027r50   287r10 ¯2531r100 ¯3087r100
¯3259r100  ¯407r50    941r20  ¯1623r50
   q +.× ⌹q
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1

   (⌹x) - ⌹q
 0.000000000E0    3.469446952E¯18  3.469446952E¯18  3.469446952E¯18
 0.000000000E0   ¯6.938893904E¯18  3.469446952E¯18 ¯8.673617380E¯19
 0.000000000E0    8.673617380E¯19 ¯3.469446952E¯18 ¯8.673617380E¯19
¯1.734723476E¯18  0.000000000E0    3.469446952E¯18  5.204170428E¯18