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The lack of preservation of range makes conversions between numeric types
error prone. This is true for both implicit conversions and explicit conversions
(through static_cast
). numeric_cast
detects loss of range
when a numeric type is converted, and throws an exception if the range cannot
be preserved.
There are several situations where conversions are unsafe:
The C++ Standard does not specify the behavior when a numeric type is assigned a value that cannot be represented by the type, except for unsigned integral types [3.9.1.4], which must obey the laws of arithmetic modulo 2n (this implies that the result will be reduced modulo the number that is one greater than the largest value that can be represented). The fact that the behavior for overflow is undefined for all conversions (except the aforementioned unsigned to unsigned) makes any code that may produce positive or negative overflows exposed to portability issues.
numeric_cast
adheres to the
rules for implicit conversions mandated by the C++ Standard, such as truncating
floating point types when converting to integral types. The implementation
must guarantee that for a conversion to a type that can hold all possible
values of the source type, there will be no runtime overhead.
template<typename Target, typename Source> inline typename boost::numeric::converter<Target,Source>::result_type numeric_cast ( Source arg ) { return boost::numeric::converter<Target,Source>::convert(arg); }
numeric_cast
returns the
result of converting a value of type Source to a value of type Target. If
out-of-range is detected, an exception is thrown (see bad_numeric_cast,
negative_overflow
and positive_overflow
).
The following example performs some typical conversions between numeric types:
int main() { using boost::numeric_cast; using boost::numeric::bad_numeric_cast; using boost::numeric::positive_overflow; using boost::numeric::negative_overflow; try { int i=42; short s=numeric_cast<short>(i); // This conversion succeeds (is in range) } catch(negative_overflow& e) { std::cout << e.what(); } catch(positive_overflow& e) { std::cout << e.what(); } try { float f=-42.1234; // This will cause a boost::numeric::negative_overflow exception to be thrown unsigned int i=numeric_cast<unsigned int>(f); } catch(bad_numeric_cast& e) { std::cout << e.what(); } double d= f + numeric_cast<double>(123); // int -> double unsigned long l=std::numeric_limits<unsigned long>::max(); try { // This will cause a boost::numeric::positive_overflow exception to be thrown // NOTE: *operations* on unsigned integral types cannot cause overflow // but *conversions* to a signed type ARE range checked by numeric_cast. unsigned char c=numeric_cast<unsigned char>(l); } catch(positive_overflow& e) { std::cout << e.what(); } return 0; }