C floating types: if the numeric range of double is insufficient for a real number, can long double be used to extend range or precision?

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
C offers multiple floating-point types: float, double, and long double. Developers often choose double for general numerical work. When extreme ranges or additional precision are required, long double may help. This question checks your practical understanding of when long double is appropriate.


Given Data / Assumptions:

  • A typical C implementation with float.h available.
  • double is commonly IEEE-754 double precision.
  • long double may equal double on some platforms, but may also be wider (80-bit extended, 128-bit quad, etc.).


Concept / Approach:
On many systems, long double uses a format with greater exponent range and/or precision (for example, 80-bit extended on x86 or 128-bit quadruple on some toolchains). Therefore, when a value exceeds the range of double or requires more precision, long double can be selected to mitigate overflow or reduce rounding error. However, portability requires checking the actual limits via LDBL_MAX and LDBL_DIG in .


Step-by-Step Solution:

Recognize the limitation: double cannot represent the desired magnitude/precision.Consult : compare DBL_MAX/DBL_DIG with LDBL_MAX/LDBL_DIG.If long double exceeds double on the target, choose long double to extend range/precision.If equal, consider arbitrary-precision libraries instead.


Verification / Alternative check:
Print DBL_MAX vs LDBL_MAX at runtime to confirm capacity; verify numerical results remain finite and precise under long double where double overflowed or lost precision.


Why Other Options Are Wrong:

Incorrect: dismisses legitimate platforms where long double is wider.Tying truth to -O3 or “only 16-bit DOS” is irrelevant; optimization levels do not change type ranges.“Never true”: demonstrably false on systems with 80-bit or 128-bit long double.


Common Pitfalls:
Assuming long double is always wider; on some ABIs it equals double. Always check float.h for portable code.


Final Answer:
Correct.

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