From 754bbf7a25a8dda49b5d08ef0d0443bbf5af0e36 Mon Sep 17 00:00:00 2001 From: Craig Jennings Date: Sun, 7 Apr 2024 13:41:34 -0500 Subject: new repository --- devdocs/c/numeric%2Fmath%2Flogb.html | 88 ++++++++++++++++++++++++++++++++++++ 1 file changed, 88 insertions(+) create mode 100644 devdocs/c/numeric%2Fmath%2Flogb.html (limited to 'devdocs/c/numeric%2Fmath%2Flogb.html') diff --git a/devdocs/c/numeric%2Fmath%2Flogb.html b/devdocs/c/numeric%2Fmath%2Flogb.html new file mode 100644 index 00000000..79b5b473 --- /dev/null +++ b/devdocs/c/numeric%2Fmath%2Flogb.html @@ -0,0 +1,88 @@ +

logb, logbf, logbl

Defined in header <math.h> 
float       logbf( float arg );
+		 (1) (since C99) 
double      logb( double arg );
+		 (2) (since C99) 
long double logbl( long double arg );
+		 (3) (since C99)
Defined in header <tgmath.h> 
#define logb( arg )
+		 (4) (since C99)
+1-3) Extracts the value of the unbiased radix-independent exponent from the floating-point argument arg, and returns it as a floating-point value.
+4) Type-generic macros: If arg has type long double, logbl is called. Otherwise, if arg has integer type or the type double, logb is called. Otherwise, logbf is called.

Formally, the unbiased exponent is the signed integral part of logr|arg| (returned by this function as a floating-point value), for non-zero arg, where r is FLT_RADIX. If arg is subnormal, it is treated as though it was normalized.

+

Parameters

+ +
arg - floating point value

Return value

If no errors occur, the unbiased exponent of arg is returned as a signed floating-point value.

+

If a domain error occurs, an implementation-defined value is returned

+

If a pole error occurs, -HUGE_VAL, -HUGE_VALF, or -HUGE_VALL is returned.

+

Error handling

Errors are reported as specified in math_errhandling.

+

Domain or range error may occur if arg is zero.

+

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

+

Notes

POSIX requires that a pole error occurs if arg is ±0.

+

The value of the exponent returned by logb is always 1 less than the exponent retuned by frexp because of the different normalization requirements: for the exponent e returned by logb, |arg*r-e| is between 1 and r (typically between 1 and 2), but for the exponent e returned by frexp, |arg*2-e| is between 0.5 and 1.

+

Example

+

Compares different floating-point decomposition functions.

+
#include <stdio.h>
+#include <math.h>
+#include <float.h>
+#include <fenv.h>
+ 
+// #pragma STDC FENV_ACCESS ON
+int main(void)
+{
+    double f = 123.45;
+    printf("Given the number %.2f or %a in hex,\n", f, f);
+ 
+    double f3;
+    double f2 = modf(f, &f3);
+    printf("modf() makes %.0f + %.2f\n", f3, f2);
+ 
+    int i;
+    f2 = frexp(f, &i);
+    printf("frexp() makes %f * 2^%d\n", f2, i);
+ 
+    i = logb(f);
+    printf("logb()/logb() make %f * %d^%d\n", f/scalbn(1.0, i), FLT_RADIX, i);
+ 
+    // error handling
+    feclearexcept(FE_ALL_EXCEPT);
+    printf("logb(0) = %f\n", logb(0));
+    if(fetestexcept(FE_DIVBYZERO)) puts("    FE_DIVBYZERO raised");
+}

Possible output:

+
Given the number 123.45 or 0x1.edccccccccccdp+6 in hex,
+modf() makes 123 + 0.45
+frexp() makes 0.964453 * 2^7
+logb()/logb() make 1.928906 * 2^6
+logb(0) = -Inf
+    FE_DIVBYZERO raised

References

See also

+ + + +
+
(C99)(C99)
 breaks a number into significand and a power of 2
(function)
+
(C99)(C99)(C99)
 extracts exponent of the given number
(function)
+
(C99)(C99)(C99)(C99)(C99)(C99)
 computes efficiently a number times FLT_RADIX raised to a power
(function)
C++ documentation for logb
+

+ © cppreference.com
Licensed under the Creative Commons Attribution-ShareAlike Unported License v3.0.
+ https://en.cppreference.com/w/c/numeric/math/logb +

+
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