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<h1>Module <a href="type_Int32.html">Int32</a></h1>
<pre><span id="MODULEInt32"><span class="keyword">module</span> Int32</span>: <code class="code"><span class="keyword">sig</span></code> <a href="Int32.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><div class="info module top">
<div class="info-desc">
<p>32-bit integers.</p>
<p>This module provides operations on the type <code class="code">int32</code>
of signed 32-bit integers. Unlike the built-in <code class="code">int</code> type,
the type <code class="code">int32</code> is guaranteed to be exactly 32-bit wide on all
platforms. All arithmetic operations over <code class="code">int32</code> are taken
modulo 2<sup class="superscript">32</sup>.</p>
<p>Performance notice: values of type <code class="code">int32</code> occupy more memory
space than values of type <code class="code">int</code>, and arithmetic operations on
<code class="code">int32</code> are generally slower than those on <code class="code">int</code>. Use <code class="code">int32</code>
only when the application requires exact 32-bit arithmetic.</p>
<p>Literals for 32-bit integers are suffixed by l:</p>
<pre class="codepre"><code class="code"> <span class="keyword">let</span> zero: int32 = 0l
<span class="keyword">let</span> one: int32 = 1l
<span class="keyword">let</span> m_one: int32 = -1l
</code></pre></div>
</div>
<hr width="100%">
<pre><span id="VALzero"><span class="keyword">val</span> zero</span> : <code class="type">int32</code></pre><div class="info ">
<div class="info-desc">
<p>The 32-bit integer 0.</p>
</div>
</div>
<pre><span id="VALone"><span class="keyword">val</span> one</span> : <code class="type">int32</code></pre><div class="info ">
<div class="info-desc">
<p>The 32-bit integer 1.</p>
</div>
</div>
<pre><span id="VALminus_one"><span class="keyword">val</span> minus_one</span> : <code class="type">int32</code></pre><div class="info ">
<div class="info-desc">
<p>The 32-bit integer -1.</p>
</div>
</div>
<pre><span id="VALneg"><span class="keyword">val</span> neg</span> : <code class="type">int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Unary negation.</p>
</div>
</div>
<pre><span id="VALadd"><span class="keyword">val</span> add</span> : <code class="type">int32 -> int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Addition.</p>
</div>
</div>
<pre><span id="VALsub"><span class="keyword">val</span> sub</span> : <code class="type">int32 -> int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Subtraction.</p>
</div>
</div>
<pre><span id="VALmul"><span class="keyword">val</span> mul</span> : <code class="type">int32 -> int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Multiplication.</p>
</div>
</div>
<pre><span id="VALdiv"><span class="keyword">val</span> div</span> : <code class="type">int32 -> int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Integer division. This division rounds the real quotient of
its arguments towards zero, as specified for <a href="Stdlib.html#VAL(/)"><code class="code">(/)</code></a>.</p>
</div>
<ul class="info-attributes">
<li><b>Raises</b> <code>Division_by_zero</code> if the second
argument is zero.</li>
</ul>
</div>
<pre><span id="VALunsigned_div"><span class="keyword">val</span> unsigned_div</span> : <code class="type">int32 -> int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Same as <a href="Int32.html#VALdiv"><code class="code"><span class="constructor">Int32</span>.div</code></a>, except that arguments and result are interpreted as <em> unsigned</em> 32-bit integers.</p>
</div>
<ul class="info-attributes">
<li><b>Since</b> 4.08.0</li>
</ul>
</div>
<pre><span id="VALrem"><span class="keyword">val</span> rem</span> : <code class="type">int32 -> int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Integer remainder. If <code class="code">y</code> is not zero, the result
of <code class="code"><span class="constructor">Int32</span>.rem x y</code> satisfies the following property:
<code class="code">x = <span class="constructor">Int32</span>.add (<span class="constructor">Int32</span>.mul (<span class="constructor">Int32</span>.div x y) y) (<span class="constructor">Int32</span>.rem x y)</code>.
If <code class="code">y = 0</code>, <code class="code"><span class="constructor">Int32</span>.rem x y</code> raises <code class="code"><span class="constructor">Division_by_zero</span></code>.</p>
</div>
</div>
<pre><span id="VALunsigned_rem"><span class="keyword">val</span> unsigned_rem</span> : <code class="type">int32 -> int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Same as <a href="Int32.html#VALrem"><code class="code"><span class="constructor">Int32</span>.rem</code></a>, except that arguments and result are interpreted as <em> unsigned</em> 32-bit integers.</p>
</div>
<ul class="info-attributes">
<li><b>Since</b> 4.08.0</li>
</ul>
</div>
<pre><span id="VALsucc"><span class="keyword">val</span> succ</span> : <code class="type">int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Successor. <code class="code"><span class="constructor">Int32</span>.succ x</code> is <code class="code"><span class="constructor">Int32</span>.add x <span class="constructor">Int32</span>.one</code>.</p>
</div>
</div>
<pre><span id="VALpred"><span class="keyword">val</span> pred</span> : <code class="type">int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Predecessor. <code class="code"><span class="constructor">Int32</span>.pred x</code> is <code class="code"><span class="constructor">Int32</span>.sub x <span class="constructor">Int32</span>.one</code>.</p>
</div>
</div>
<pre><span id="VALabs"><span class="keyword">val</span> abs</span> : <code class="type">int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Return the absolute value of its argument.</p>
</div>
</div>
<pre><span id="VALmax_int"><span class="keyword">val</span> max_int</span> : <code class="type">int32</code></pre><div class="info ">
<div class="info-desc">
<p>The greatest representable 32-bit integer, 2<sup class="superscript">31</sup> - 1.</p>
</div>
</div>
<pre><span id="VALmin_int"><span class="keyword">val</span> min_int</span> : <code class="type">int32</code></pre><div class="info ">
<div class="info-desc">
<p>The smallest representable 32-bit integer, -2<sup class="superscript">31</sup>.</p>
</div>
</div>
<pre><span id="VALlogand"><span class="keyword">val</span> logand</span> : <code class="type">int32 -> int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Bitwise logical and.</p>
</div>
</div>
<pre><span id="VALlogor"><span class="keyword">val</span> logor</span> : <code class="type">int32 -> int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Bitwise logical or.</p>
</div>
</div>
<pre><span id="VALlogxor"><span class="keyword">val</span> logxor</span> : <code class="type">int32 -> int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Bitwise logical exclusive or.</p>
</div>
</div>
<pre><span id="VALlognot"><span class="keyword">val</span> lognot</span> : <code class="type">int32 -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Bitwise logical negation.</p>
</div>
</div>
<pre><span id="VALshift_left"><span class="keyword">val</span> shift_left</span> : <code class="type">int32 -> int -> int32</code></pre><div class="info ">
<div class="info-desc">
<p><code class="code"><span class="constructor">Int32</span>.shift_left x y</code> shifts <code class="code">x</code> to the left by <code class="code">y</code> bits.
The result is unspecified if <code class="code">y < 0</code> or <code class="code">y >= 32</code>.</p>
</div>
</div>
<pre><span id="VALshift_right"><span class="keyword">val</span> shift_right</span> : <code class="type">int32 -> int -> int32</code></pre><div class="info ">
<div class="info-desc">
<p><code class="code"><span class="constructor">Int32</span>.shift_right x y</code> shifts <code class="code">x</code> to the right by <code class="code">y</code> bits.
This is an arithmetic shift: the sign bit of <code class="code">x</code> is replicated
and inserted in the vacated bits.
The result is unspecified if <code class="code">y < 0</code> or <code class="code">y >= 32</code>.</p>
</div>
</div>
<pre><span id="VALshift_right_logical"><span class="keyword">val</span> shift_right_logical</span> : <code class="type">int32 -> int -> int32</code></pre><div class="info ">
<div class="info-desc">
<p><code class="code"><span class="constructor">Int32</span>.shift_right_logical x y</code> shifts <code class="code">x</code> to the right by <code class="code">y</code> bits.
This is a logical shift: zeroes are inserted in the vacated bits
regardless of the sign of <code class="code">x</code>.
The result is unspecified if <code class="code">y < 0</code> or <code class="code">y >= 32</code>.</p>
</div>
</div>
<pre><span id="VALof_int"><span class="keyword">val</span> of_int</span> : <code class="type">int -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Convert the given integer (type <code class="code">int</code>) to a 32-bit integer
(type <code class="code">int32</code>). On 64-bit platforms, the argument is taken
modulo 2<sup class="superscript">32</sup>.</p>
</div>
</div>
<pre><span id="VALto_int"><span class="keyword">val</span> to_int</span> : <code class="type">int32 -> int</code></pre><div class="info ">
<div class="info-desc">
<p>Convert the given 32-bit integer (type <code class="code">int32</code>) to an
integer (type <code class="code">int</code>). On 32-bit platforms, the 32-bit integer
is taken modulo 2<sup class="superscript">31</sup>, i.e. the high-order bit is lost
during the conversion. On 64-bit platforms, the conversion
is exact.</p>
</div>
</div>
<pre><span id="VALunsigned_to_int"><span class="keyword">val</span> unsigned_to_int</span> : <code class="type">int32 -> int option</code></pre><div class="info ">
<div class="info-desc">
<p>Same as <a href="Int32.html#VALto_int"><code class="code"><span class="constructor">Int32</span>.to_int</code></a>, but interprets the argument as an <em>unsigned</em> integer.
Returns <code class="code"><span class="constructor">None</span></code> if the unsigned value of the argument cannot fit into an
<code class="code">int</code>.</p>
</div>
<ul class="info-attributes">
<li><b>Since</b> 4.08.0</li>
</ul>
</div>
<pre><span id="VALof_float"><span class="keyword">val</span> of_float</span> : <code class="type">float -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Convert the given floating-point number to a 32-bit integer,
discarding the fractional part (truncate towards 0).
The result of the conversion is undefined if, after truncation,
the number is outside the range [<a href="Int32.html#VALmin_int"><code class="code"><span class="constructor">Int32</span>.min_int</code></a>, <a href="Int32.html#VALmax_int"><code class="code"><span class="constructor">Int32</span>.max_int</code></a>].</p>
</div>
</div>
<pre><span id="VALto_float"><span class="keyword">val</span> to_float</span> : <code class="type">int32 -> float</code></pre><div class="info ">
<div class="info-desc">
<p>Convert the given 32-bit integer to a floating-point number.</p>
</div>
</div>
<pre><span id="VALof_string"><span class="keyword">val</span> of_string</span> : <code class="type">string -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Convert the given string to a 32-bit integer.
The string is read in decimal (by default, or if the string
begins with <code class="code">0u</code>) or in hexadecimal, octal or binary if the
string begins with <code class="code">0x</code>, <code class="code">0o</code> or <code class="code">0b</code> respectively.</p>
<p>The <code class="code">0u</code> prefix reads the input as an unsigned integer in the range
<code class="code">[0, 2*<span class="constructor">Int32</span>.max_int+1]</code>. If the input exceeds <a href="Int32.html#VALmax_int"><code class="code"><span class="constructor">Int32</span>.max_int</code></a>
it is converted to the signed integer
<code class="code"><span class="constructor">Int32</span>.min_int + input - <span class="constructor">Int32</span>.max_int - 1</code>.</p>
<p>The <code class="code">_</code> (underscore) character can appear anywhere in the string
and is ignored.</p>
</div>
<ul class="info-attributes">
<li><b>Raises</b> <code>Failure</code> if the given string is not
a valid representation of an integer, or if the integer represented
exceeds the range of integers representable in type <code class="code">int32</code>.</li>
</ul>
</div>
<pre><span id="VALof_string_opt"><span class="keyword">val</span> of_string_opt</span> : <code class="type">string -> int32 option</code></pre><div class="info ">
<div class="info-desc">
<p>Same as <code class="code">of_string</code>, but return <code class="code"><span class="constructor">None</span></code> instead of raising.</p>
</div>
<ul class="info-attributes">
<li><b>Since</b> 4.05</li>
</ul>
</div>
<pre><span id="VALto_string"><span class="keyword">val</span> to_string</span> : <code class="type">int32 -> string</code></pre><div class="info ">
<div class="info-desc">
<p>Return the string representation of its argument, in signed decimal.</p>
</div>
</div>
<pre><span id="VALbits_of_float"><span class="keyword">val</span> bits_of_float</span> : <code class="type">float -> int32</code></pre><div class="info ">
<div class="info-desc">
<p>Return the internal representation of the given float according
to the IEEE 754 floating-point 'single format' bit layout.
Bit 31 of the result represents the sign of the float;
bits 30 to 23 represent the (biased) exponent; bits 22 to 0
represent the mantissa.</p>
</div>
</div>
<pre><span id="VALfloat_of_bits"><span class="keyword">val</span> float_of_bits</span> : <code class="type">int32 -> float</code></pre><div class="info ">
<div class="info-desc">
<p>Return the floating-point number whose internal representation,
according to the IEEE 754 floating-point 'single format' bit layout,
is the given <code class="code">int32</code>.</p>
</div>
</div>
<pre><span id="TYPEt"><span class="keyword">type</span> <code class="type"></code>t</span> = <code class="type">int32</code> </pre>
<div class="info ">
<div class="info-desc">
<p>An alias for the type of 32-bit integers.</p>
</div>
</div>
<pre><span id="VALcompare"><span class="keyword">val</span> compare</span> : <code class="type"><a href="Int32.html#TYPEt">t</a> -> <a href="Int32.html#TYPEt">t</a> -> int</code></pre><div class="info ">
<div class="info-desc">
<p>The comparison function for 32-bit integers, with the same specification as
<a href="Stdlib.html#VALcompare"><code class="code">compare</code></a>. Along with the type <code class="code">t</code>, this function <code class="code">compare</code>
allows the module <code class="code"><span class="constructor">Int32</span></code> to be passed as argument to the functors
<a href="Set.Make.html"><code class="code"><span class="constructor">Set</span>.<span class="constructor">Make</span></code></a> and <a href="Map.Make.html"><code class="code"><span class="constructor">Map</span>.<span class="constructor">Make</span></code></a>.</p>
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<pre><span id="VALunsigned_compare"><span class="keyword">val</span> unsigned_compare</span> : <code class="type"><a href="Int32.html#TYPEt">t</a> -> <a href="Int32.html#TYPEt">t</a> -> int</code></pre><div class="info ">
<div class="info-desc">
<p>Same as <a href="Int32.html#VALcompare"><code class="code"><span class="constructor">Int32</span>.compare</code></a>, except that arguments are interpreted as <em>unsigned</em>
32-bit integers.</p>
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<ul class="info-attributes">
<li><b>Since</b> 4.08.0</li>
</ul>
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<pre><span id="VALequal"><span class="keyword">val</span> equal</span> : <code class="type"><a href="Int32.html#TYPEt">t</a> -> <a href="Int32.html#TYPEt">t</a> -> bool</code></pre><div class="info ">
<div class="info-desc">
<p>The equal function for int32s.</p>
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<ul class="info-attributes">
<li><b>Since</b> 4.03.0</li>
</ul>
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