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underflow    
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underflow
下溢; 缺; 欠位; 超下限; 低於下限

underflow
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(or "floating point underflow", "floating
underflow", after "{overflow}") A condition that can occur
when the result of a {floating-point} operation would be
smaller in magnitude (closer to zero, either positive or
negative) than the smallest quantity representable. Underflow
is actually (negative) {overflow} of the {exponent} of the
{floating point} quantity. For example, an eight-bit {twos
complement} exponent can represent multipliers of 2^-128 to
2^127. A result less than 2^-128 would cause underflow.

Depending on the {processor}, the programming language and the
{run-time system}, underflow may set a status bit, raise an
{exception} or generate a {hardware} {interrupt} or some
combination of these effects. Alternatively, it may just be
ignored and zero substituted for the unrepresentable value,
though this might lead to a later {divide by zero} error which
cannot be so easily ignored.

(2006-11-09)


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  • Arithmetic Overflow and Underflowing - Mathematics Stack Exchange
    Underflows refer to floating point underflow, where an operation result in a number that is too small to be representable For example, if the exponent part can represent values from $-127$ to $127$, then any number with absolute value less than $2^{-127}$ may cause underflow
  • c - When does underflow occur? - Stack Overflow
    Underflow occurs when the true result of a floating point operation is smaller in magnitude (that is, closer to zero) than the smallest value representable as a normal floating point number in the target datatype (from Arithmetic Underflow, Wikipedia)
  • What is overflow and underflow in floating point
    Of course the following is implementation dependent, but if the numbers behave anything like what IEEE-754 specifies, Floating point numbers do not overflow and underflow to a wildly incorrect answer like integers do, e g you really should not end up with two positive numbers being multiplied resulting in a negative number
  • c++ - How to handle floating-point underflow? - Stack Overflow
    An underflow is the result of larger negative exponents not being available to represent the number It is sometimes possible to avoid them by “normalizing” the computation, which amounts to somehow computing on x 1 *2 N, x 2 *2 N, … instead of x 1, x 2, … for an N of your choice Floating-point underflow is not undefined behavior
  • What are arithmetic underflow and overflow in C?
    underflow depends exclusively upon the given algorithm and the given input data,and hence there is no direct control by the programmer Overflow on the other hand, depends upon the arbitrary choice of the programmer for the amount of memory space reserved for each stack ,and this choice does influence the number of times overflow may occur
  • What is the difference between stack buffer overflow, stack underflow . . .
    And stack underflow it is similar to the buffer overflow With this example you'll understand it! Imagine you have a list, and you are popping elements I assume you know what popping is, but in case you still haven't done that in your subject, it basically is taking out elements
  • At what point should I worry about underflow in numpy values?
    Those are pretty tiny At what point should I worry about underflow in my calculations? These need to be ultra-precise Is there a definite value range to worry about, or perhaps a reference which states this value?
  • How to detect double precision floating point overflow and underflow?
    For underflow, the first question is whether a gradual underflow counts as underflow or not If not, then simply checking if the results are zero and a != -b would do the trick If you want to detect gradual underflow (which is probably only present if you have IEEE), then you can use isnormal —this will return false if the results correspond





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