isfinite

Check whether symbolic array elements are finite

Syntax

isfinite(A)

Description

isfinite(A) returns an array of the same size as A containing logical 1s (true) where the elements of A are finite, and logical 0s (false) where they are not. For a complex number, isfinite returns 1 if both the real and imaginary parts of that number are finite. Otherwise, it returns 0.

Examples

Determine Which Elements of Symbolic Array Are Finite Values

Using isfinite, determine which elements of this symbolic matrix are finite values:

isfinite(sym([pi NaN Inf; 1 + i Inf + i NaN + i]))

ans =
  2×3 logical array
     1     0     0
     1     0     0

Determine if Exact and Approximated Values Are Finite

Approximate these symbolic values with the 50-digit accuracy:

V = sym([pi, 2*pi, 3*pi, 4*pi]);
V_approx = vpa(V, 50);

The cotangents of the exact values are not finite:

cot(V)
isfinite(cot(V))

ans =
[ Inf, Inf, Inf, Inf]
 
ans =
  1×4 logical array
     0     0     0     0

Nevertheless, the cotangents of the approximated values are finite due to the round-off errors:

isfinite(cot(V_approx))

ans =
  1×4 logical array
   1   1   1   1

Input Arguments

A — Input value

symbolic number | symbolic variable | symbolic expression | symbolic function | symbolic array | symbolic vector | symbolic matrix

Input value, specified as a symbolic number, variable, expression, or function, or as an array, vector, or matrix of symbolic numbers, variables, expressions, functions.

Tips

• For any A, exactly one of the three quantities isfinite(A), isinf(A), or isnan(A) is 1 for each element.

• Elements of A are recognized as finite if they are

  • Not symbolic NaN

  • Not symbolic Inf or -Inf

  • Not sums or products containing symbolic infinities Inf or -Inf