devdocs/c/numeric%2Fmath%2Ffloor.html


1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58

    <h1 id="firstHeading" class="firstHeading">floor, floorf, floorl</h1>            <table class="t-dcl-begin"> <tr class="t-dsc-header"> <th> Defined in header <code>&lt;math.h&gt;</code> </th> <th> </th> <th> </th> </tr> <tr class="t-dcl t-since-c99"> <td> <pre data-language="c">float       floorf( 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      floor( 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 floorl( 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>&lt;tgmath.h&gt;</code> </th> <th> </th> <th> </th> </tr> <tr class="t-dcl t-since-c99"> <td> <pre data-language="c">#define floor( 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 largest integer value not greater than <code>arg</code>.</div> <div class="t-li1">
<span class="t-li">4)</span> Type-generic macro: If <code>arg</code> has type <code>long double</code>, <code>floorl</code> is called. Otherwise, if <code>arg</code> has integer type or the type <code>double</code>, <code>floor</code> is called. Otherwise, <code>floorf</code> is called.</div>  <h3 id="Parameters"> Parameters</h3> <table class="t-par-begin"> <tr class="t-par"> <td> arg </td> <td> - </td> <td> floating point value </td>
</tr>
</table> <h3 id="Return_value"> Return value</h3> <p>If no errors occur, the largest integer value not greater than <code>arg</code>, that is ⌊arg⌋, is returned.</p>
<div class="t-plot"> <div class="t-plot-left">Return value</div> <div class="t-plot-image-left"><img alt="math-floor.svg" src="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Created with matplotlib (http://matplotlib.sourceforge.net/) -->
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" height="200px" version="1.1" viewBox="0 0 200 200" width="200px">
 <defs>
  <style type="text/css">
*{stroke-linecap:square;stroke-linejoin:round;}
  </style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d=" M0 200 L200 200 L200 0 L0 0 z " style="fill:#ffffff;"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d=" M25 177.5 L180 177.5 L180 22.5 L25 22.5 z " style="fill:#ffffff;"/>
   </g>
   <g id="matplotlib.axis_1">
    <g id="xtick_1">
     <g id="line2d_1">
      <path clip-path="url(#p40fec1153f)" d=" M36.0714 177.5 L36.0714 22.5" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_2">
      <defs>
       <path d=" M0 0 L0 -4" id="m0012dd4eef" style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;"/>
      </defs>
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="36.0714285714" xlink:href="#m0012dd4eef" y="177.5"/>
      </g>
     </g>
     <g id="line2d_3">
      <defs>
       <path d=" M0 0 L0 4" id="m476344969c" style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;"/>
      </defs>
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="36.0714285714" xlink:href="#m476344969c" y="22.5"/>
      </g>
     </g>
     <g id="text_1">
      <!-- −3 -->
      <defs>
       <path d=" M40.5781 39.3125 Q47.6562 37.7969 51.625 33 Q55.6094 28.2188 55.6094 21.1875 Q55.6094 10.4062 48.1875 4.48438 Q40.7656 -1.42188 27.0938 -1.42188 Q22.5156 -1.42188 17.6562 -0.515625 Q12.7969 0.390625 7.625 2.20312 L7.625 11.7188 Q11.7188 9.32812 16.5938 8.10938 Q21.4844 6.89062 26.8125 6.89062 Q36.0781 6.89062 40.9375 10.5469 Q45.7969 14.2031 45.7969 21.1875 Q45.7969 27.6406 41.2812 31.2656 Q36.7656 34.9062 28.7188 34.9062 L20.2188 34.9062 L20.2188 43.0156 L29.1094 43.0156 Q36.375 43.0156 40.2344 45.9219 Q44.0938 48.8281 44.0938 54.2969 Q44.0938 59.9062 40.1094 62.9062 Q36.1406 65.9219 28.7188 65.9219 Q24.6562 65.9219 20.0156 65.0312 Q15.375 64.1562 9.8125 62.3125 L9.8125 71.0938 Q15.4375 72.6562 20.3438 73.4375 Q25.25 74.2188 29.5938 74.2188 Q40.8281 74.2188 47.3594 69.1094 Q53.9062 64.0156 53.9062 55.3281 Q53.9062 49.2656 50.4375 45.0938 Q46.9688 40.9219 40.5781 39.3125" id="DejaVuSans-33"/>
       <path d=" M10.5938 35.5 L73.1875 35.5 L73.1875 27.2031 L10.5938 27.2031 z " id="DejaVuSans-2212"/>
      </defs>
      <g transform="translate(30.2748660714 191.6796875)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-2212"/>
       <use x="83.7890625" xlink:href="#DejaVuSans-33"/>
      </g>
     </g>
    </g>
    <g id="xtick_2">
     <g id="line2d_4">
      <path clip-path="url(#p40fec1153f)" d=" M58.2143 177.5 L58.2143 22.5" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_5">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="58.2142857143" xlink:href="#m0012dd4eef" y="177.5"/>
      </g>
     </g>
     <g id="line2d_6">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="58.2142857143" xlink:href="#m476344969c" y="22.5"/>
      </g>
     </g>
     <g id="text_2">
      <!-- −2 -->
      <defs>
       <path d=" M19.1875 8.29688 L53.6094 8.29688 L53.6094 0 L7.32812 0 L7.32812 8.29688 Q12.9375 14.1094 22.625 23.8906 Q32.3281 33.6875 34.8125 36.5312 Q39.5469 41.8438 41.4219 45.5312 Q43.3125 49.2188 43.3125 52.7812 Q43.3125 58.5938 39.2344 62.25 Q35.1562 65.9219 28.6094 65.9219 Q23.9688 65.9219 18.8125 64.3125 Q13.6719 62.7031 7.8125 59.4219 L7.8125 69.3906 Q13.7656 71.7812 18.9375 73 Q24.125 74.2188 28.4219 74.2188 Q39.75 74.2188 46.4844 68.5469 Q53.2188 62.8906 53.2188 53.4219 Q53.2188 48.9219 51.5312 44.8906 Q49.8594 40.875 45.4062 35.4062 Q44.1875 33.9844 37.6406 27.2188 Q31.1094 20.4531 19.1875 8.29688" id="DejaVuSans-32"/>
      </defs>
      <g transform="translate(52.5077232143 191.6796875)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-2212"/>
       <use x="83.7890625" xlink:href="#DejaVuSans-32"/>
      </g>
     </g>
    </g>
    <g id="xtick_3">
     <g id="line2d_7">
      <path clip-path="url(#p40fec1153f)" d=" M80.3571 177.5 L80.3571 22.5" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_8">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="80.3571428571" xlink:href="#m0012dd4eef" y="177.5"/>
      </g>
     </g>
     <g id="line2d_9">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="80.3571428571" xlink:href="#m476344969c" y="22.5"/>
      </g>
     </g>
     <g id="text_3">
      <!-- −1 -->
      <defs>
       <path d=" M12.4062 8.29688 L28.5156 8.29688 L28.5156 63.9219 L10.9844 60.4062 L10.9844 69.3906 L28.4219 72.9062 L38.2812 72.9062 L38.2812 8.29688 L54.3906 8.29688 L54.3906 0 L12.4062 0 z " id="DejaVuSans-31"/>
      </defs>
      <g transform="translate(74.6154241071 191.5615625)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-2212"/>
       <use x="83.7890625" xlink:href="#DejaVuSans-31"/>
      </g>
     </g>
    </g>
    <g id="xtick_4">
     <g id="line2d_10">
      <path clip-path="url(#p40fec1153f)" d=" M102.5 177.5 L102.5 22.5" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_11">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="102.5" xlink:href="#m0012dd4eef" y="177.5"/>
      </g>
     </g>
     <g id="line2d_12">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="102.5" xlink:href="#m476344969c" y="22.5"/>
      </g>
     </g>
     <g id="text_4">
      <!-- 0 -->
      <defs>
       <path d=" M31.7812 66.4062 Q24.1719 66.4062 20.3281 58.9062 Q16.5 51.4219 16.5 36.375 Q16.5 21.3906 20.3281 13.8906 Q24.1719 6.39062 31.7812 6.39062 Q39.4531 6.39062 43.2812 13.8906 Q47.125 21.3906 47.125 36.375 Q47.125 51.4219 43.2812 58.9062 Q39.4531 66.4062 31.7812 66.4062 M31.7812 74.2188 Q44.0469 74.2188 50.5156 64.5156 Q56.9844 54.8281 56.9844 36.375 Q56.9844 17.9688 50.5156 8.26562 Q44.0469 -1.42188 31.7812 -1.42188 Q19.5312 -1.42188 13.0625 8.26562 Q6.59375 17.9688 6.59375 36.375 Q6.59375 54.8281 13.0625 64.5156 Q19.5312 74.2188 31.7812 74.2188" id="DejaVuSans-30"/>
      </defs>
      <g transform="translate(100.232421875 191.6796875)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-30"/>
      </g>
     </g>
    </g>
    <g id="xtick_5">
     <g id="line2d_13">
      <path clip-path="url(#p40fec1153f)" d=" M124.643 177.5 L124.643 22.5" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_14">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="124.642857143" xlink:href="#m0012dd4eef" y="177.5"/>
      </g>
     </g>
     <g id="line2d_15">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="124.642857143" xlink:href="#m476344969c" y="22.5"/>
      </g>
     </g>
     <g id="text_5">
      <!-- 1 -->
      <g transform="translate(122.689575893 191.5615625)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-31"/>
      </g>
     </g>
    </g>
    <g id="xtick_6">
     <g id="line2d_16">
      <path clip-path="url(#p40fec1153f)" d=" M146.786 177.5 L146.786 22.5" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_17">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="146.785714286" xlink:href="#m0012dd4eef" y="177.5"/>
      </g>
     </g>
     <g id="line2d_18">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="146.785714286" xlink:href="#m476344969c" y="22.5"/>
      </g>
     </g>
     <g id="text_6">
      <!-- 2 -->
      <g transform="translate(144.703058036 191.6796875)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-32"/>
      </g>
     </g>
    </g>
    <g id="xtick_7">
     <g id="line2d_19">
      <path clip-path="url(#p40fec1153f)" d=" M168.929 177.5 L168.929 22.5" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_20">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="168.928571429" xlink:href="#m0012dd4eef" y="177.5"/>
      </g>
     </g>
     <g id="line2d_21">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="168.928571429" xlink:href="#m476344969c" y="22.5"/>
      </g>
     </g>
     <g id="text_7">
      <!-- 3 -->
      <g transform="translate(166.769274554 191.6796875)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-33"/>
      </g>
     </g>
    </g>
   </g>
   <g id="matplotlib.axis_2">
    <g id="ytick_1">
     <g id="line2d_22">
      <path clip-path="url(#p40fec1153f)" d=" M25 166.429 L180 166.429" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_23">
      <defs>
       <path d=" M0 0 L4 0" id="me8a85f7bf6" style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;"/>
      </defs>
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="25.0" xlink:href="#me8a85f7bf6" y="166.428571429"/>
      </g>
     </g>
     <g id="line2d_24">
      <defs>
       <path d=" M0 0 L-4 0" id="m1a32005dea" style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;"/>
      </defs>
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="180.0" xlink:href="#m1a32005dea" y="166.428571429"/>
      </g>
     </g>
     <g id="text_8">
      <!-- −3 -->
      <g transform="translate(5.906875 169.704430804)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-2212"/>
       <use x="83.7890625" xlink:href="#DejaVuSans-33"/>
      </g>
     </g>
    </g>
    <g id="ytick_2">
     <g id="line2d_25">
      <path clip-path="url(#p40fec1153f)" d=" M25 144.286 L180 144.286" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_26">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="25.0" xlink:href="#me8a85f7bf6" y="144.285714286"/>
      </g>
     </g>
     <g id="line2d_27">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="180.0" xlink:href="#m1a32005dea" y="144.285714286"/>
      </g>
     </g>
     <g id="text_9">
      <!-- −2 -->
      <g transform="translate(6.086875 147.625558036)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-2212"/>
       <use x="83.7890625" xlink:href="#DejaVuSans-32"/>
      </g>
     </g>
    </g>
    <g id="ytick_3">
     <g id="line2d_28">
      <path clip-path="url(#p40fec1153f)" d=" M25 122.143 L180 122.143" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_29">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="25.0" xlink:href="#me8a85f7bf6" y="122.142857143"/>
      </g>
     </g>
     <g id="line2d_30">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="180.0" xlink:href="#m1a32005dea" y="122.142857143"/>
      </g>
     </g>
     <g id="text_10">
      <!-- −1 -->
      <g transform="translate(6.0165625 125.423638393)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-2212"/>
       <use x="83.7890625" xlink:href="#DejaVuSans-31"/>
      </g>
     </g>
    </g>
    <g id="ytick_4">
     <g id="line2d_31">
      <path clip-path="url(#p40fec1153f)" d=" M25 100 L180 100" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_32">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="25.0" xlink:href="#me8a85f7bf6" y="100.0"/>
      </g>
     </g>
     <g id="line2d_33">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="180.0" xlink:href="#m1a32005dea" y="100.0"/>
      </g>
     </g>
     <g id="text_11">
      <!-- 0 -->
      <g transform="translate(12.96484375 103.275859375)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-30"/>
      </g>
     </g>
    </g>
    <g id="ytick_5">
     <g id="line2d_34">
      <path clip-path="url(#p40fec1153f)" d=" M25 77.8571 L180 77.8571" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_35">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="25.0" xlink:href="#me8a85f7bf6" y="77.8571428571"/>
      </g>
     </g>
     <g id="line2d_36">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="180.0" xlink:href="#m1a32005dea" y="77.8571428571"/>
      </g>
     </g>
     <g id="text_12">
      <!-- 1 -->
      <g transform="translate(13.5934375 81.1379241071)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-31"/>
      </g>
     </g>
    </g>
    <g id="ytick_6">
     <g id="line2d_37">
      <path clip-path="url(#p40fec1153f)" d=" M25 55.7143 L180 55.7143" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_38">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="25.0" xlink:href="#me8a85f7bf6" y="55.7142857143"/>
      </g>
     </g>
     <g id="line2d_39">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="180.0" xlink:href="#m1a32005dea" y="55.7142857143"/>
      </g>
     </g>
     <g id="text_13">
      <!-- 2 -->
      <g transform="translate(13.3346875 59.0541294643)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-32"/>
      </g>
     </g>
    </g>
    <g id="ytick_7">
     <g id="line2d_40">
      <path clip-path="url(#p40fec1153f)" d=" M25 33.5714 L180 33.5714" style="fill:none;stroke:#000000;stroke-dasharray:1.000000,3.000000;stroke-dashoffset:0.0;stroke-linecap:butt;stroke-width:0.5;"/>
     </g>
     <g id="line2d_41">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="25.0" xlink:href="#me8a85f7bf6" y="33.5714285714"/>
      </g>
     </g>
     <g id="line2d_42">
      <g>
       <use style="stroke:#000000;stroke-linecap:butt;stroke-width:0.5;" x="180.0" xlink:href="#m1a32005dea" y="33.5714285714"/>
      </g>
     </g>
     <g id="text_14">
      <!-- 3 -->
      <g transform="translate(13.18140625 36.8472879464)scale(0.09 -0.09)">
       <use xlink:href="#DejaVuSans-33"/>
      </g>
     </g>
    </g>
   </g>
   <g id="line2d_43">
    <path clip-path="url(#p40fec1153f)" d=" M36.0714 166.429 L58.2143 166.429" style="fill:none;stroke:#0000ff;stroke-width:0.5;"/>
   </g>
   <g id="line2d_44">
    <path clip-path="url(#p40fec1153f)" d=" M58.2143 144.286 L80.3571 144.286" style="fill:none;stroke:#0000ff;stroke-width:0.5;"/>
   </g>
   <g id="line2d_45">
    <path clip-path="url(#p40fec1153f)" d=" M80.3571 122.143 L102.5 122.143" style="fill:none;stroke:#0000ff;stroke-width:0.5;"/>
   </g>
   <g id="line2d_46">
    <path clip-path="url(#p40fec1153f)" d=" M102.5 100 L124.643 100" style="fill:none;stroke:#0000ff;stroke-width:0.5;"/>
   </g>
   <g id="line2d_47">
    <path clip-path="url(#p40fec1153f)" d=" M124.643 77.8571 L146.786 77.8571" style="fill:none;stroke:#0000ff;stroke-width:0.5;"/>
   </g>
   <g id="line2d_48">
    <path clip-path="url(#p40fec1153f)" d=" M146.786 55.7143 L168.929 55.7143" style="fill:none;stroke:#0000ff;stroke-width:0.5;"/>
   </g>
   <g id="line2d_49">
    <path clip-path="url(#p40fec1153f)" d=" M168.929 33.5714 L180 33.5714" style="fill:none;stroke:#0000ff;stroke-width:0.5;"/>
   </g>
   <g id="line2d_50">
    <path clip-path="url(#p40fec1153f)" d=" M36.0714 166.429" style="fill:none;stroke:#0000ff;"/>
    <defs>
     <path d=" M0 3.75 C0.994512 3.75 1.94842 3.35488 2.65165 2.65165 C3.35488 1.94842 3.75 0.994512 3.75 0 C3.75 -0.994512 3.35488 -1.94842 2.65165 -2.65165 C1.94842 -3.35488 0.994512 -3.75 0 -3.75 C-0.994512 -3.75 -1.94842 -3.35488 -2.65165 -2.65165 C-3.35488 -1.94842 -3.75 -0.994512 -3.75 0 C-3.75 0.994512 -3.35488 1.94842 -2.65165 2.65165 C-1.94842 3.35488 -0.994512 3.75 0 3.75 z " id="me53b7bb6d2" style="stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;"/>
    </defs>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#0000ff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="36.0714285714" xlink:href="#me53b7bb6d2" y="166.428571429"/>
    </g>
   </g>
   <g id="line2d_51">
    <path clip-path="url(#p40fec1153f)" d=" M58.2143 166.429" style="fill:none;stroke:#008000;"/>
    <defs>
     <path d=" M0 3.75 C0.994512 3.75 1.94842 3.35488 2.65165 2.65165 C3.35488 1.94842 3.75 0.994512 3.75 0 C3.75 -0.994512 3.35488 -1.94842 2.65165 -2.65165 C1.94842 -3.35488 0.994512 -3.75 0 -3.75 C-0.994512 -3.75 -1.94842 -3.35488 -2.65165 -2.65165 C-3.35488 -1.94842 -3.75 -0.994512 -3.75 0 C-3.75 0.994512 -3.35488 1.94842 -2.65165 2.65165 C-1.94842 3.35488 -0.994512 3.75 0 3.75 z " id="me2780642e2" style="stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;"/>
    </defs>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#ffffff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="58.2142857143" xlink:href="#me2780642e2" y="166.428571429"/>
    </g>
   </g>
   <g id="line2d_52">
    <path clip-path="url(#p40fec1153f)" d=" M58.2143 144.286" style="fill:none;stroke:#ff0000;"/>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#0000ff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="58.2142857143" xlink:href="#me53b7bb6d2" y="144.285714286"/>
    </g>
   </g>
   <g id="line2d_53">
    <path clip-path="url(#p40fec1153f)" d=" M80.3571 144.286" style="fill:none;stroke:#00bfbf;"/>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#ffffff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="80.3571428571" xlink:href="#me2780642e2" y="144.285714286"/>
    </g>
   </g>
   <g id="line2d_54">
    <path clip-path="url(#p40fec1153f)" d=" M80.3571 122.143" style="fill:none;stroke:#bf00bf;"/>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#0000ff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="80.3571428571" xlink:href="#me53b7bb6d2" y="122.142857143"/>
    </g>
   </g>
   <g id="line2d_55">
    <path clip-path="url(#p40fec1153f)" d=" M102.5 122.143" style="fill:none;stroke:#bfbf00;"/>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#ffffff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="102.5" xlink:href="#me2780642e2" y="122.142857143"/>
    </g>
   </g>
   <g id="line2d_56">
    <path clip-path="url(#p40fec1153f)" d=" M102.5 100" style="fill:none;stroke:#000000;"/>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#0000ff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="102.5" xlink:href="#me53b7bb6d2" y="100.0"/>
    </g>
   </g>
   <g id="line2d_57">
    <path clip-path="url(#p40fec1153f)" d=" M124.643 100" style="fill:none;stroke:#0000ff;"/>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#ffffff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="124.642857143" xlink:href="#me2780642e2" y="100.0"/>
    </g>
   </g>
   <g id="line2d_58">
    <path clip-path="url(#p40fec1153f)" d=" M124.643 77.8571" style="fill:none;stroke:#008000;"/>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#0000ff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="124.642857143" xlink:href="#me53b7bb6d2" y="77.8571428571"/>
    </g>
   </g>
   <g id="line2d_59">
    <path clip-path="url(#p40fec1153f)" d=" M146.786 77.8571" style="fill:none;stroke:#ff0000;"/>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#ffffff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="146.785714286" xlink:href="#me2780642e2" y="77.8571428571"/>
    </g>
   </g>
   <g id="line2d_60">
    <path clip-path="url(#p40fec1153f)" d=" M146.786 55.7143" style="fill:none;stroke:#00bfbf;"/>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#0000ff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="146.785714286" xlink:href="#me53b7bb6d2" y="55.7142857143"/>
    </g>
   </g>
   <g id="line2d_61">
    <path clip-path="url(#p40fec1153f)" d=" M168.929 55.7143" style="fill:none;stroke:#bf00bf;"/>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#ffffff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="168.928571429" xlink:href="#me2780642e2" y="55.7142857143"/>
    </g>
   </g>
   <g id="line2d_62">
    <path clip-path="url(#p40fec1153f)" d=" M168.929 33.5714" style="fill:none;stroke:#bfbf00;"/>
    <g clip-path="url(#p40fec1153f)">
     <use style="fill:#0000ff;stroke:#0000ff;stroke-linecap:butt;stroke-width:0.5;" x="168.928571429" xlink:href="#me53b7bb6d2" y="33.5714285714"/>
    </g>
   </g>
   <g id="patch_3">
    <path d=" M25 22.5 L180 22.5" style="fill:none;stroke:#000000;"/>
   </g>
   <g id="patch_4">
    <path d=" M180 177.5 L180 22.5" style="fill:none;stroke:#000000;"/>
   </g>
   <g id="patch_5">
    <path d=" M25 177.5 L180 177.5" style="fill:none;stroke:#000000;"/>
   </g>
   <g id="patch_6">
    <path d=" M25 177.5 L25 22.5" style="fill:none;stroke:#000000;"/>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p40fec1153f">
   <rect height="155.0" width="155.0" x="25.0" y="22.5"/>
  </clipPath>
 </defs>
</svg>
" width="200" height="200"></div> <div class="t-plot-bottom">Argument</div> </div> <h3 id="Error_handling"> Error handling</h3> <p>Errors are reported as specified in <a href="math_errhandling" title="c/numeric/math/math errhandling">math_errhandling</a>.</p>
<p>If the implementation supports IEEE floating-point arithmetic (IEC 60559),</p>
<ul>
<li> The current <a href="../fenv/fe_round" title="c/numeric/fenv/FE round">rounding mode</a> has no effect. </li>
<li> If <code>arg</code> is ±∞, it is returned, unmodified </li>
<li> If <code>arg</code> is ±0, it is returned, unmodified </li>
<li> If arg is NaN, NaN is returned </li>
</ul> <h3 id="Notes"> Notes</h3> <p><code><a href="../fenv/fe_exceptions" title="c/numeric/fenv/FE exceptions">FE_INEXACT</a></code> may be (but isn't required to be) raised when rounding a non-integer finite value.</p>
<p>The largest representable floating-point values are exact integers in all standard floating-point formats, so this function never overflows on its own; however the result may overflow any integer type (including <code><a href="../../types/integer" title="c/types/integer">intmax_t</a></code>), when stored in an integer variable.</p>
<h3 id="Example"> Example</h3> <div class="t-example"> <div class="c source-c"><pre data-language="c">#include &lt;math.h&gt;
#include &lt;stdio.h&gt;
int main(void)
{
    printf("floor(+2.7) = %+.1f\n", floor(2.7));
    printf("floor(-2.7) = %+.1f\n", floor(-2.7));
    printf("floor(-0.0) = %+.1f\n", floor(-0.0));
    printf("floor(-Inf) = %+f\n",   floor(-INFINITY));
}</pre></div> <p>Possible output:</p>
<div class="text source-text"><pre data-language="c">floor(+2.7) = +2.0
floor(-2.7) = -3.0
floor(-0.0) = -0.0
floor(-Inf) = -inf</pre></div> </div> <h3 id="References"> References</h3>  <ul>
<li> C11 standard (ISO/IEC 9899:2011): </li>
<ul>
<li> 7.12.9.2 The floor functions (p: 251) </li>
<li> 7.25 Type-generic math &lt;tgmath.h&gt; (p: 373-375) </li>
<li> F.10.6.2 The floor functions (p: 526) </li>
</ul>
<li> C99 standard (ISO/IEC 9899:1999): </li>
<ul>
<li> 7.12.9.2 The floor functions (p: 232) </li>
<li> 7.22 Type-generic math &lt;tgmath.h&gt; (p: 335-337) </li>
<li> F.9.6.2 The floor functions (p: 463) </li>
</ul>
<li> C89/C90 standard (ISO/IEC 9899:1990): </li>
<ul><li> 4.5.6.3 The floor function </li></ul>
</ul>             <h3 id="See_also"> See also</h3> <table class="t-dsc-begin"> <tr class="t-dsc"> <td> <div><a href="ceil" title="c/numeric/math/ceil"> <span class="t-lines"><span>ceil</span><span>ceilf</span><span>ceill</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 smallest integer not less than the given value <br> <span class="t-mark">(function)</span>  </td>
</tr> <tr class="t-dsc"> <td> <div><a href="trunc" title="c/numeric/math/trunc"> <span class="t-lines"><span>trunc</span><span>truncf</span><span>truncl</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> rounds to nearest integer not greater in magnitude than the given value <br> <span class="t-mark">(function)</span>  </td>
</tr> <tr class="t-dsc"> <td> <div><a href="round" title="c/numeric/math/round"> <span class="t-lines"><span>round</span><span>roundf</span><span>roundl</span><span>lround</span><span>lroundf</span><span>lroundl</span><span>llround</span><span>llroundf</span><span>llroundl</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><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><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> rounds to nearest integer, rounding away from zero in halfway cases <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/floor" title="cpp/numeric/math/floor">C++ documentation</a></span> for <code>floor</code> </td>
</tr> </table>            <div class="_attribution">
  <p class="_attribution-p">
    &copy; 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/floor" class="_attribution-link">https://en.cppreference.com/w/c/numeric/math/floor</a>
  </p>
</div>