﻿ Rational Numbers in Dyalog APL
 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 +∘÷ / 180 ⍴ 1r1 30010821454963453907530667147829489881r185477076... 60 ⍕ +∘÷/ 180 ⍴ 1r1 1.618033988749894848204586834365638117720309179805762862135449 60 ⍕ +∘÷/ 180 ⍴ 1 1.618033988749895_____________________________________________ H ← {÷1+∘.+⍨⍳⍵} H 5 1 0.5 0.3333333333 0.25 0.2 0.5 0.3333333333 0.25 0.2 0.1666666667 0.3333333333 0.25 0.2 0.1666666667 0.1428571429 0.25 0.2 0.1666666667 0.1428571429 0.125 0.2 0.1666666667 0.1428571429 0.125 0.1111111111 H 5r1 1 1r2 1r3 1r4 1r5 1r2 1r3 1r4 1r5 1r6 1r3 1r4 1r5 1r6 1r7 1r4 1r5 1r6 1r7 1r8 1r5 1r6 1r7 1r8 1r9 x +.× ⌹ x ← H 5 1.000000000E0 0.000000000E0 0.000000000E0 0.000000000E0 0.000000000E0 2.842170943E¯14 1.000000000E0 ¯1.818989404E¯12 0.000000000E0 9.094947018E¯13 1.421085472E¯14 2.273736754E¯13 1.000000000E0 0.000000000E0 ¯9.094947018E¯13 2.842170943E¯14 ¯4.547473509E¯13 9.094947018E¯13 1.000000000E0 9.094947018E¯13 0.000000000E0 ¯2.273736754E¯13 0.000000000E0 1.818989404E¯12 1.000000000E0 q +.× ⌹ q ← H 5r1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 x +.× ⌹ x ← H 20 DOMAIN ERROR x+.×⌹x←H 20 ∧ q +.× ⌹ q ← H 20r1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ```