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8.5.2 Short-circuit Boolean Operators

Combined with the implicit conversion to scalar values in if and while conditions, Octave's element-by-element boolean operators are often sufficient for performing most logical operations. However, it is sometimes desirable to stop evaluating a boolean expression as soon as the overall truth value can be determined. Octave's short-circuit boolean operators work this way.

boolean1 && boolean2
The expression boolean1 is evaluated and converted to a scalar using the equivalent of the operation all (boolean1(:)). If it is false, the result of the overall expression is 0. If it is true, the expression boolean2 is evaluated and converted to a scalar using the equivalent of the operation all (boolean1(:)). If it is true, the result of the overall expression is 1. Otherwise, the result of the overall expression is 0.

Warning: there is one exception to the rule of evaluating all (boolean1(:)), which is when boolean1 is the empty matrix. The truth value of an empty matrix is always false so [] && true evaluates to false even though all ([]) is true.

boolean1 || boolean2
The expression boolean1 is evaluated and converted to a scalar using the equivalent of the operation all (boolean1(:)). If it is true, the result of the overall expression is 1. If it is false, the expression boolean2 is evaluated and converted to a scalar using the equivalent of the operation all (boolean1(:)). If it is true, the result of the overall expression is 1. Otherwise, the result of the overall expression is 0.

Warning: the truth value of an empty matrix is always false, see the previous list item for details.

The fact that both operands may not be evaluated before determining the overall truth value of the expression can be important. For example, in the expression 

     a && b++

the value of the variable b is only incremented if the variable a is nonzero.

This can be used to write somewhat more concise code. For example, it is possible write 

     function f (a, b, c)
       if (nargin > 2 && ischar (c))
         ...

instead of having to use two if statements to avoid attempting to evaluate an argument that doesn't exist. For example, without the short-circuit feature, it would be necessary to write 

     function f (a, b, c)
       if (nargin > 2)
         if (ischar (c))
           ...

Writing 

     function f (a, b, c)
       if (nargin > 2 & ischar (c))
         ...

would result in an error if f were called with one or two arguments because Octave would be forced to try to evaluate both of the operands for the operator ‘&’.

matlab has special behavior that allows the operators ‘&’ and ‘|’ to short-circuit when used in the truth expression for if and while statements. The Octave parser may be instructed to behave in the same manner, but its use is strongly discouraged.

— Built-in Function: val = do_braindead_shortcircuit_evaluation ()
— Built-in Function: old_val = do_braindead_shortcircuit_evaluation (new_val)
— Built-in Function: do_braindead_shortcircuit_evaluation (new_val, "local")

Query or set the internal variable that controls whether Octave will do short-circuit evaluation of ‘|’ and ‘&’ operators inside the conditions of if or while statements.

This feature is only provided for compatibility with matlab and should not be used unless you are porting old code that relies on this feature.

To obtain short-circuit behavior for logical expressions in new programs, you should always use the ‘&&’ and ‘||’ operators.

When called from inside a function with the "local" option, the variable is changed locally for the function and any subroutines it calls. The original variable value is restored when exiting the function.

Finally, the ternary operator (?:) is not supported in Octave. If short-circuiting is not important, it can be replaced by the ifelse function.

— Built-in Function: merge (mask, tval, fval)
— Built-in Function: ifelse (mask, tval, fval)

Merge elements of true_val and false_val, depending on the value of mask. If mask is a logical scalar, the other two arguments can be arbitrary values. Otherwise, mask must be a logical array, and tval, fval should be arrays of matching class, or cell arrays. In the scalar mask case, tval is returned if mask is true, otherwise fval is returned.

In the array mask case, both tval and fval must be either scalars or arrays with dimensions equal to mask. The result is constructed as follows: 

          result(mask) = tval(mask);
          result(! mask) = fval(! mask);

mask can also be arbitrary numeric type, in which case it is first converted to logical.

See also: logical.