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Tolk has a bool type with two values: true or false. TVM does not have booleans as a separate type. Instead, true is represented as the bit 1 and false as the bit 0. In the context of TVM’s signed 257-bit integers, this means that true corresponds to a decimal -1, while false corresponds to 0.
fun isGreater10(v: int): bool {
    return v > 10
}
Several operators, such as == or && produce values of type bool. Many standard library functions also return bool values:
var valid = isSignatureValid(...);    // bool
var end = someSlice.isEmpty();        // bool

Conditions and logical operators require bool

  • The condition of if, while, do while, ternary, and assert must be a bool. Integers are not implicitly converted: write if (x != 0) rather than if (x).
  • The unary ! operator requires a bool: write if (x == 0) rather than if (!x).
  • Logical operators && and || short-circuit and accept both bool and int operands.
Arithmetic operators are restricted to integers.
valid && end;  // ok
valid & end;   // ok, bitwise & | ^ also work if both are bools
if (!end)      // ok, end is bool

valid + end;   // error
8 & valid;     // error, int & bool not allowed

Logical and bitwise operators

Tolk has both bitwise & ^ | and logical && || operators that can be used for booleans and integers. The main difference is that logical operators short-circuit: the right operand is evaluated only if required.
ExpressionBehavior
condition & f()f() is called always
condition && f()f() is called only if condition is true
condition | f()f() is called always
condition || f()f() is called only if condition is false
The compiler performs better instruction optimizations on booleans, saving more gas per comparison. Bitwise operators may sometimes be used instead of logical operators to avoid generating conditional branches at runtime. For example, (a > 0) && (a < 10), when replaced with bitwise &, consumes less gas.

Casting to an integer

Use the as operator to cast the bool to int. No runtime transformations take place: at the TVM level, the bool type is represented as an integer with a decimal value of either -1 or 0.
// -1 or 0 in decimal; serialized as a single bit 1 or 0
var i = boolValue as int1;

Serialization

A boolean is serialized as a single bit: 1 for true and 0 for false.