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| author | Craig Jennings <c@cjennings.net> | 2024-04-07 13:41:34 -0500 |
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| committer | Craig Jennings <c@cjennings.net> | 2024-04-07 13:41:34 -0500 |
| commit | 754bbf7a25a8dda49b5d08ef0d0443bbf5af0e36 (patch) | |
| tree | f1190704f78f04a2b0b4c977d20fe96a828377f1 /devdocs/c/numeric%2Fmath%2Fcosh.html | |
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diff --git a/devdocs/c/numeric%2Fmath%2Fcosh.html b/devdocs/c/numeric%2Fmath%2Fcosh.html new file mode 100644 index 00000000..493b5d19 --- /dev/null +++ b/devdocs/c/numeric%2Fmath%2Fcosh.html @@ -0,0 +1,77 @@ + <h1 id="firstHeading" class="firstHeading">cosh, coshf, coshl</h1> <table class="t-dcl-begin"> <tr class="t-dsc-header"> <th> Defined in header <code><math.h></code> </th> <th> </th> <th> </th> </tr> <tr class="t-dcl t-since-c99"> <td> <pre data-language="c">float coshf( float arg );</pre> +</td> <td> (1) </td> <td> <span class="t-mark-rev t-since-c99">(since C99)</span> </td> </tr> <tr class="t-dcl"> <td> <pre data-language="c">double cosh( double arg );</pre> +</td> <td> (2) </td> <td class="t-dcl-nopad"> </td> </tr> <tr class="t-dcl t-since-c99"> <td> <pre data-language="c">long double coshl( long double arg );</pre> +</td> <td> (3) </td> <td> <span class="t-mark-rev t-since-c99">(since C99)</span> </td> </tr> <tr class="t-dsc-header"> <th> Defined in header <code><tgmath.h></code> </th> <th> </th> <th> </th> </tr> <tr class="t-dcl t-since-c99"> <td> <pre data-language="c">#define cosh( arg )</pre> +</td> <td> (4) </td> <td> <span class="t-mark-rev t-since-c99">(since C99)</span> </td> </tr> </table> <div class="t-li1"> +<span class="t-li">1-3)</span> Computes the hyperbolic cosine of <code>arg</code>.</div> <div class="t-li1"> +<span class="t-li">4)</span> Type-generic macro: If the argument has type <code>long double</code>, <code>coshl</code> is called. Otherwise, if the argument has integer type or the type <code>double</code>, <code>cosh</code> is called. Otherwise, <code>coshf</code> is called. If the argument is complex, then the macro invokes the corresponding complex function (<code><a href="http://en.cppreference.com/w/c/numeric/complex/ccosh"><span class="kw808">ccoshf</span></a></code>, <code><a href="http://en.cppreference.com/w/c/numeric/complex/ccosh"><span class="kw807">ccosh</span></a></code>, <code><a href="http://en.cppreference.com/w/c/numeric/complex/ccosh"><span class="kw809">ccoshl</span></a></code>).</div> <h3 id="Parameters"> Parameters</h3> <table class="t-par-begin"> <tr class="t-par"> <td> arg </td> <td> - </td> <td> floating point value representing a hyperbolic angle </td> +</tr> +</table> <h3 id="Return_value"> Return value</h3> If no errors occur, the hyperbolic cosine of <code>arg</code> (cosh(arg), or <span><span>earg+e-arg</span><span>/</span><span>2</span></span>) is returned. <p>If a range error due to overflow occurs, <code><a href="huge_val" title="c/numeric/math/HUGE VAL">+HUGE_VAL</a></code>, <code>+HUGE_VALF</code>, or <code>+HUGE_VALL</code> is returned.</p> +<h3 id="Error_handling"> Error handling</h3> <p>Errors are reported as specified in <a href="math_errhandling" title="c/numeric/math/math errhandling"><code>math_errhandling</code></a>.</p> +<p>If the implementation supports IEEE floating-point arithmetic (IEC 60559),</p> +<ul> +<li> if the argument is ±0, 1 is returned </li> +<li> If the argument is ±∞, +∞ is returned </li> +<li> if the argument is NaN, NaN is returned </li> +</ul> <h3 id="Notes"> Notes</h3> <p>For the IEEE-compatible type <code>double</code>, if |arg| > 710.5, then <code>cosh(arg)</code> overflows.</p> +<h3 id="Example"> Example</h3> <div class="t-example"> <div class="c source-c"><pre data-language="c">#include <stdio.h> +#include <math.h> +#include <errno.h> +#include <fenv.h> + +// #pragma STDC FENV_ACCESS ON +int main(void) +{ + printf("cosh(1) = %f\ncosh(-1)= %f\n", cosh(1), cosh(-1)); + printf("log(sinh(1) + cosh(1))=%f\n", log(sinh(1)+cosh(1))); + // special values + printf("cosh(+0) = %f\ncosh(-0) = %f\n", cosh(0.0), cosh(-0.0)); + // error handling + errno=0; feclearexcept(FE_ALL_EXCEPT); + printf("cosh(710.5) = %f\n", cosh(710.5)); + if(errno == ERANGE) perror(" errno == ERANGE"); + if(fetestexcept(FE_OVERFLOW)) puts(" FE_OVERFLOW raised"); +}</pre></div> <p>Possible output:</p> +<div class="text source-text"><pre data-language="c">cosh(1) = 1.543081 +cosh(-1)= 1.543081 +log(sinh(1) + cosh(1))=1.000000 +cosh(+0) = 1.000000 +cosh(-0) = 1.000000 +cosh(710.5) = inf + errno == ERANGE: Numerical result out of range + FE_OVERFLOW raised</pre></div> </div> <h3 id="References"> References</h3> <ul> +<li> C17 standard (ISO/IEC 9899:2018): </li> +<ul> +<li> 7.12.5.4 The cosh functions (p: 176) </li> +<li> 7.25 Type-generic math <tgmath.h> (p: 272-273) </li> +<li> F.10.2.4 The cosh functions (p: 379) </li> +</ul> +<li> C11 standard (ISO/IEC 9899:2011): </li> +<ul> +<li> 7.12.5.4 The cosh functions (p: 241) </li> +<li> 7.25 Type-generic math <tgmath.h> (p: 373-375) </li> +<li> F.10.2.4 The cosh functions (p: 520) </li> +</ul> +<li> C99 standard (ISO/IEC 9899:1999): </li> +<ul> +<li> 7.12.5.4 The cosh functions (p: 222) </li> +<li> 7.22 Type-generic math <tgmath.h> (p: 335-337) </li> +<li> F.9.2.4 The cosh functions (p: 457) </li> +</ul> +<li> C89/C90 standard (ISO/IEC 9899:1990): </li> +<ul><li> 4.5.3.1 The cosh function </li></ul> +</ul> <h3 id="See_also"> See also</h3> <table class="t-dsc-begin"> <tr class="t-dsc"> <td> <div><a href="sinh" title="c/numeric/math/sinh"> <span class="t-lines"><span>sinh</span><span>sinhf</span><span>sinhl</span></span></a></div> +<div><span class="t-lines"><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span></span></div> </td> <td> computes hyperbolic sine (\({\small\sinh{x} }\)sinh(x)) <br> <span class="t-mark">(function)</span> </td> +</tr> <tr class="t-dsc"> <td> <div><a href="tanh" title="c/numeric/math/tanh"> <span class="t-lines"><span>tanh</span><span>tanhf</span><span>tanhl</span></span></a></div> +<div><span class="t-lines"><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span></span></div> </td> <td> computes hyperbolic tangent (\({\small\tanh{x} }\)tanh(x)) <br> <span class="t-mark">(function)</span> </td> +</tr> <tr class="t-dsc"> <td> <div><a href="acosh" title="c/numeric/math/acosh"> <span class="t-lines"><span>acosh</span><span>acoshf</span><span>acoshl</span></span></a></div> +<div><span class="t-lines"><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span></span></div> </td> <td> computes inverse hyperbolic cosine (\({\small\operatorname{arcosh}{x} }\)arcosh(x)) <br> <span class="t-mark">(function)</span> </td> +</tr> <tr class="t-dsc"> <td> <div><a href="../complex/ccosh" title="c/numeric/complex/ccosh"> <span class="t-lines"><span>ccosh</span><span>ccoshf</span><span>ccoshl</span></span></a></div> +<div><span class="t-lines"><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span></span></div> </td> <td> computes the complex hyperbolic cosine <br> <span class="t-mark">(function)</span> </td> +</tr> <tr class="t-dsc"> <td colspan="2"> <span><a href="https://en.cppreference.com/w/cpp/numeric/math/cosh" title="cpp/numeric/math/cosh">C++ documentation</a></span> for <code>cosh</code> </td> +</tr> </table> <div class="_attribution"> + <p class="_attribution-p"> + © cppreference.com<br>Licensed under the Creative Commons Attribution-ShareAlike Unported License v3.0.<br> + <a href="https://en.cppreference.com/w/c/numeric/math/cosh" class="_attribution-link">https://en.cppreference.com/w/c/numeric/math/cosh</a> + </p> +</div> |
