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diff --git a/devdocs/c/numeric%2Fmath%2Ftan.html b/devdocs/c/numeric%2Fmath%2Ftan.html new file mode 100644 index 00000000..74007697 --- /dev/null +++ b/devdocs/c/numeric%2Fmath%2Ftan.html @@ -0,0 +1,106 @@ + <h1 id="firstHeading" class="firstHeading">tan, tanf, tanl</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 tanf( 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 tan( 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 tanl( 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-dcl t-since-c23"> <td> <pre data-language="c">_Decimal32 tand32( _Decimal32 arg );</pre> +</td> <td> (4) </td> <td> <span class="t-mark-rev t-since-c23">(since C23)</span> </td> </tr> <tr class="t-dcl t-since-c23"> <td> <pre data-language="c">_Decimal64 tand64( _Decimal64 arg );</pre> +</td> <td> (5) </td> <td> <span class="t-mark-rev t-since-c23">(since C23)</span> </td> </tr> <tr class="t-dcl t-since-c23"> <td> <pre data-language="c">_Decimal128 tand128( _Decimal128 arg );</pre> +</td> <td> (6) </td> <td> <span class="t-mark-rev t-since-c23">(since C23)</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 tan( arg )</pre> +</td> <td> (7) </td> <td> <span class="t-mark-rev t-since-c99">(since C99)</span> </td> </tr> </table> <div class="t-li1"> +<span class="t-li">1-6)</span> Computes the tangent of <code>arg</code> (measured in radians).</div> <div class="t-li1"> +<span class="t-li">7)</span> Type-generic macro: If the argument has type <code>long double</code>, <span class="t-v">(3)</span> (<code>tanl</code>) is called. Otherwise, if the argument has integer type or the type <code>double</code>, <span class="t-v">(2)</span> (<code>tan</code>) is called. Otherwise, <span class="t-v">(1)</span> (<code>tanf</code>) is called. If the argument is complex, then the macro invokes the corresponding complex function (<code><a href="../complex/ctan" title="c/numeric/complex/ctan">ctanf</a></code>, <code><a href="../complex/ctan" title="c/numeric/complex/ctan">ctan</a></code>, <code><a href="../complex/ctan" title="c/numeric/complex/ctan">ctanl</a></code>).</div> <table class="t-rev-begin"> <tr class="t-rev t-since-c23"> +<td> <p>The functions <span class="t-v">(4-6)</span> are declared if and only if the implementation predefines <code>__STDC_IEC_60559_DFP__</code> (i.e. the implementation supports decimal floating-point numbers).</p> +</td> <td><span class="t-mark-rev t-since-c23">(since C23)</span></td> +</tr> </table> <h3 id="Parameters"> Parameters</h3> <table class="t-par-begin"> <tr class="t-par"> <td> arg </td> <td> - </td> <td> floating-point value representing angle in radians </td> +</tr> +</table> <h3 id="Return_value"> Return value</h3> <p>If no errors occur, the tangent of <code>arg</code> (tan(arg)) is returned.</p> +<table class="t-rev-begin"> <tr class="t-rev t-until-c99"> +<td> <p>The result may have little or no significance if the magnitude of <code>arg</code> is large.</p> +</td> <td><span class="t-mark-rev t-until-c99">(until C99)</span></td> +</tr> </table> <p>If a domain error occurs, an implementation-defined value is returned (NaN where supported).</p> +<p>If a range error occurs due to underflow, the correct result (after rounding) 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, it is returned unmodified; </li> +<li> if the argument is ±∞, NaN is returned and <code><a href="../fenv/fe_exceptions" title="c/numeric/fenv/FE exceptions">FE_INVALID</a></code> is raised; </li> +<li> if the argument is NaN, NaN is returned. </li> +</ul> <h3 id="Notes"> Notes</h3> <p>The case where the argument is infinite is not specified to be a domain error in C, but it is defined as a <a rel="nofollow" class="external text" href="https://pubs.opengroup.org/onlinepubs/9699919799/functions/tan.html">domain error in POSIX</a>.</p> +<p>The function has mathematical poles at π(1/2 + n); however no common floating-point representation is able to represent <code>π/2</code> exactly, thus there is no value of the argument for which a pole error occurs.</p> +<h3 id="Example"> Example</h3> <div class="t-example"> <div class="c source-c"><pre data-language="c">#include <errno.h> +#include <fenv.h> +#include <math.h> +#include <stdio.h> + +#ifndef __GNUC__ +#pragma STDC FENV_ACCESS ON +#endif + +int main(void) +{ + const double pi = acos(-1); + + // typical usage + printf("tan(pi*1/4) = %+f\n", tan(pi * 1 / 4)); // 45 deg + printf("tan(pi*3/4) = %+f\n", tan(pi * 3 / 4)); // 135 deg + printf("tan(pi*5/4) = %+f\n", tan(pi * 5 / 4)); // -135 deg + printf("tan(pi*7/4) = %+f\n", tan(pi * 7 / 4)); // -45 deg + + // special values + printf("tan(+0) = %f\n", tan(0.0)); + printf("tan(-0) = %f\n", tan(-0.0)); + + // error handling + feclearexcept(FE_ALL_EXCEPT); + printf("tan(INFINITY) = %f\n", tan(INFINITY)); + if (fetestexcept(FE_INVALID)) + puts(" FE_INVALID raised"); +}</pre></div> <p>Possible output:</p> +<div class="text source-text"><pre data-language="c">tan(pi*1/4) = +1.000000 +tan(pi*3/4) = -1.000000 +tan(pi*5/4) = +1.000000 +tan(pi*7/4) = -1.000000 +tan(+0) = 0.000000 +tan(-0) = -0.000000 +tan(INFINITY) = -nan + FE_INVALID raised</pre></div> </div> <h3 id="References"> References</h3> <ul> +<li> C23 standard (ISO/IEC 9899:2023): </li> +<ul> +<li> 7.12.4.7 The tan functions (p: TBD) </li> +<li> 7.25 Type-generic math <tgmath.h> (p: TBD) </li> +<li> F.10.1.7 The tan functions (p: TBD) </li> +</ul> +<li> C17 standard (ISO/IEC 9899:2018): </li> +<ul> +<li> 7.12.4.7 The tan functions (p: 175) </li> +<li> 7.25 Type-generic math <tgmath.h> (p: 272-273) </li> +<li> F.10.1.7 The tan functions (p: 378) </li> +</ul> +<li> C11 standard (ISO/IEC 9899:2011): </li> +<ul> +<li> 7.12.4.7 The tan functions (p: 240) </li> +<li> 7.25 Type-generic math <tgmath.h> (p: 373-375) </li> +<li> F.10.1.7 The tan functions (p: 519) </li> +</ul> +<li> C99 standard (ISO/IEC 9899:1999): </li> +<ul> +<li> 7.12.4.7 The tan functions (p: 220) </li> +<li> 7.22 Type-generic math <tgmath.h> (p: 335-337) </li> +<li> F.9.1.7 The tan functions (p: 457) </li> +</ul> +<li> C89/C90 standard (ISO/IEC 9899:1990): </li> +<ul><li> 4.5.2.7 The tan function </li></ul> +</ul> <h3 id="See_also"> See also</h3> <table class="t-dsc-begin"> <tr class="t-dsc"> <td> <div><a href="sin" title="c/numeric/math/sin"> <span class="t-lines"><span>sin</span><span>sinf</span><span>sinl</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 sine (\({\small\sin{x} }\)sin(x)) <br> <span class="t-mark">(function)</span> </td> +</tr> <tr class="t-dsc"> <td> <div><a href="cos" title="c/numeric/math/cos"> <span class="t-lines"><span>cos</span><span>cosf</span><span>cosl</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 cosine (\({\small\cos{x} }\)cos(x)) <br> <span class="t-mark">(function)</span> </td> +</tr> <tr class="t-dsc"> <td> <div><a href="atan" title="c/numeric/math/atan"> <span class="t-lines"><span>atan</span><span>atanf</span><span>atanl</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 arc tangent (\({\small\arctan{x} }\)arctan(x)) <br> <span class="t-mark">(function)</span> </td> +</tr> <tr class="t-dsc"> <td> <div><a href="../complex/ctan" title="c/numeric/complex/ctan"> <span class="t-lines"><span>ctan</span><span>ctanf</span><span>ctanl</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 tangent <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/tan" title="cpp/numeric/math/tan">C++ documentation</a></span> for <code>tan</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/tan" class="_attribution-link">https://en.cppreference.com/w/c/numeric/math/tan</a> + </p> +</div> |