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%2Facosh.html | 87 +++++++++++++++++++++++++++++++++++ 1 file changed, 87 insertions(+) create mode 100644 devdocs/c/numeric%2Fmath%2Facosh.html (limited to 'devdocs/c/numeric%2Fmath%2Facosh.html') diff --git a/devdocs/c/numeric%2Fmath%2Facosh.html b/devdocs/c/numeric%2Fmath%2Facosh.html new file mode 100644 index 00000000..2288743c --- /dev/null +++ b/devdocs/c/numeric%2Fmath%2Facosh.html @@ -0,0 +1,87 @@ +

acosh, acoshf, acoshl

Defined in header <math.h> 
float       acoshf( float arg );
+		 (1) (since C99) 
double      acosh( double arg );
+		 (2) (since C99) 
long double acoshl( long double arg );
+		 (3) (since C99)
Defined in header <tgmath.h> 
#define acosh( arg )
+		 (4) (since C99)
+1-3) Computes the inverse hyperbolic cosine of arg.
+4) Type-generic macro: If the argument has type long double, acoshl is called. Otherwise, if the argument has integer type or the type double, acosh is called. Otherwise, acoshf is called. If the argument is complex, then the macro invokes the corresponding complex function (cacoshf, cacosh, cacoshl).

Parameters

+ +
arg - floating point value representing the area of a hyperbolic sector

Return value

If no errors occur, the inverse hyperbolic cosine of arg (cosh-1(arg), or arcosh(arg)) on the interval [0, +∞], is returned.

+

If a domain error occurs, an implementation-defined value is returned (NaN where supported).

+

Error handling

Errors are reported as specified in math_errhandling.

+

If the argument is less than 1, a domain error occurs.

+

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

+

Notes

Although the C standard names this function "arc hyperbolic cosine", the inverse functions of the hyperbolic functions are the area functions. Their argument is the area of a hyperbolic sector, not an arc. The correct name is "inverse hyperbolic cosine" (used by POSIX) or "area hyperbolic cosine".

+

Example

#include <stdio.h>
+#include <math.h>
+#include <float.h>
+#include <errno.h>
+#include <fenv.h>
+#pragma STDC FENV_ACCESS ON
+ 
+int main(void)
+{
+    printf("acosh(1) = %f\nacosh(10) = %f\n", acosh(1), acosh(10));
+    printf("acosh(DBL_MAX) = %f\nacosh(Inf) = %f\n", acosh(DBL_MAX), acosh(INFINITY));
+    // error handling
+    errno = 0; feclearexcept(FE_ALL_EXCEPT);
+    printf("acosh(0.5) = %f\n", acosh(0.5));
+    if (errno == EDOM)
+        perror("    errno == EDOM");
+    if (fetestexcept(FE_INVALID))
+        puts("    FE_INVALID raised");
+}

Possible output:

+
acosh(1) = 0.000000
+acosh(10) = 2.993223
+acosh(DBL_MAX) = 710.475860
+acosh(Inf) = inf
+acosh(0.5) = -nan
+    errno == EDOM: Numerical argument out of domain
+    FE_INVALID raised

References

See also

+ + + + +
+
(C99)(C99)(C99)
 computes inverse hyperbolic sine (\({\small\operatorname{arsinh}{x} }\)arsinh(x))
(function)
+
(C99)(C99)(C99)
 computes inverse hyperbolic tangent (\({\small\operatorname{artanh}{x} }\)artanh(x))
(function)
+
(C99)(C99)
 computes hyperbolic cosine (\({\small\cosh{x} }\)cosh(x))
(function)
+
(C99)(C99)(C99)
 computes the complex arc hyperbolic cosine
(function)
C++ documentation for acosh
+ +
+Weisstein, Eric W. "Inverse Hyperbolic Cosine." From MathWorld — A Wolfram Web Resource.
+

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

+
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