scalbn, scalbnf, scalbnl, scalbln, scalblnf, scalblnl
<math.h>
<tgmath.h>
<math.h>
<tgmath.h>
scalbnl
or scalblnl
is called. Otherwise, if arg has integer type or the type double, scalbn
or scalbln
is called. Otherwise, scalbnf
or scalblnf
is called, respectively.[edit] Parameters
[edit] Return value
If no errors occur, arg multiplied by FLT_RADIX to the power of exp (arg×FLT_RADIXexp
) is returned.
If a range error due to overflow occurs, ±HUGE_VAL , ±HUGE_VALF
, or ±HUGE_VALL
is returned.
If a range error due to underflow occurs, the correct result (after rounding) is returned.
[edit] Error handling
Errors are reported as specified in math_errhandling
.
If the implementation supports IEEE floating-point arithmetic (IEC 60559),
- Unless a range error occurs, FE_INEXACT is never raised (the result is exact).
- Unless a range error occurs, the current rounding mode is ignored.
- If arg is ±0, it is returned, unmodified.
- If arg is ±∞, it is returned, unmodified.
- If exp is 0, then
arg
is returned, unmodified. - If arg is NaN, NaN is returned.
[edit] Notes
On binary systems (where FLT_RADIX is 2
), scalbn
is equivalent to ldexp .
Although scalbn
and scalbln
are specified to perform the operation efficiently, on many implementations they are less efficient than multiplication or division by a power of two using arithmetic operators.
The scalbln
function is provided because the factor required to scale from the smallest positive floating-point value to the largest finite one may be greater than 32767, the standard-guaranteed INT_MAX . In particular, for the 80-bit long double, the factor is 32828.
[edit] Example
#include <errno.h> #include <fenv.h> #include <float.h> #include <math.h> #include <stdio.h> // #pragma STDC FENV_ACCESS ON int main(void) { printf ("scalbn(7, -4) = %f\n", scalbn(7, -4)); printf ("scalbn(1, -1074) = %g (minimum positive subnormal double)\n", scalbn(1, -1074)); printf ("scalbn(nextafter(1,0), 1024) = %g (largest finite double)\n", scalbn(nextafter (1,0), 1024)); // special values printf ("scalbn(-0, 10) = %f\n", scalbn(-0.0, 10)); printf ("scalbn(-Inf, -1) = %f\n", scalbn(-INFINITY, -1)); // error handling errno = 0; feclearexcept (FE_ALL_EXCEPT ); printf ("scalbn(1, 1024) = %f\n", scalbn(1, 1024)); if (errno == ERANGE ) perror (" errno == ERANGE"); if (fetestexcept (FE_OVERFLOW )) puts (" FE_OVERFLOW raised"); }
Possible output:
scalbn(7, -4) = 0.437500 scalbn(1, -1074) = 4.94066e-324 (minimum positive subnormal double) scalbn(nextafter(1,0), 1024) = 1.79769e+308 (largest finite double) scalbn(-0, 10) = -0.000000 scalbn(-Inf, -1) = -inf scalbn(1, 1024) = inf errno == ERANGE: Numerical result out of range FE_OVERFLOW raised
[edit] References
- C23 standard (ISO/IEC 9899:2024):
- 7.12.6.13 The scalbn functions (p: TBD)
- 7.25 Type-generic math <tgmath.h> (p: TBD)
- F.10.3.13 The scalbn functions (p: TBD)
- C17 standard (ISO/IEC 9899:2018):
- 7.12.6.13 The scalbn functions (p: TBD)
- 7.25 Type-generic math <tgmath.h> (p: TBD)
- F.10.3.13 The scalbn functions (p: TBD)
- C11 standard (ISO/IEC 9899:2011):
- 7.12.6.13 The scalbn functions (p: 247)
- 7.25 Type-generic math <tgmath.h> (p: 373-375)
- F.10.3.13 The scalbn functions (p: 523)
- C99 standard (ISO/IEC 9899:1999):
- 7.12.6.13 The scalbn functions (p: 228)
- 7.22 Type-generic math <tgmath.h> (p: 335-337)
- F.9.3.13 The scalbn functions (p: 460)