Sum and carry: addition as two gates

The sum trit and the carry trit of a + b are two 3 x 3 tables. There are 19,683 such two-input gates in ternary and 16 in binary.

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Where the numbers come from

gHashTag/t27 specs/ternary/trits.t27 (t27#8979): every value on the page is its fn bodies, compiled to wasm (logic.js), with 18 tests and 4108 runtime asserts
D. Knuth, The Art of Computer Programming, vol. 2, section 4.1: balanced ternary