Built-In Operations

Overview of the primitive and the array Nada operations.

Primitive Operations

Name	Syntax	Supported Types (P: Public, S: Secret)
Addition	x + y	P ← P + P, S ← P + S, S ← S + P, S ← S + S
Subtraction	x - y	P ← P - P, S ← P - S, S ← S - P, S ← S - S
Multiplication	x * y	P ← P * P, S ← P * S, S ← S * P, S ← S * S
Power	x ** y	P ← P ** P
Division	x / y	P ← P / P, S ← P / S, S ← S / P, S ← S / S
Modulo	x % y	P ← P % P, S ← P % S, S ← S % P, S ← S % S
Shifts	x << y, x >> y	P ← P << P, S ← S << P
Probabilistic truncation	x.trunc_pr(y)	S ← S.trunc_pr(P)
Comparisons	x < y, x <= y, x > y, x >= y	P ← P < P, S ← P < S, S ← S < P, S ← S < S
Ternary "if else" (public condition)	cond.if_else(x, y)	P ← P.if_else(P, P), S ← P.if_else(P, S), S ← P.if_else(S, P), S ← P.if_else(S, S)
Ternary "if else" (secret condition)	cond.if_else(x, y)	S ← S.if_else(P, P), S ← S.if_else(P, S), S ← S.if_else(S, P), S ← S.if_else(S, S)
Reveal (convert a private value into a public value)	x.reveal()	P ← S.reveal()
Equality	x == y	S ← S == S, S ← S == P, S ← P == S, P ← P == P
Public Output Equality (publicly output if two secrets are equal)	x.public_equals(y)	P ← S.public_equals(S)