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<title>Batteries user guide : Batteries.Float</title>
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<h1>Module <a href="type_Batteries.Float.html">Batteries.Float</a></h1>

<pre><span class="keyword">module</span> Float: <code class="type">BatFloat</code></pre><hr width="100%">

<pre><span id="TYPEt"><span class="keyword">type</span> <code class="type"></code>t</span> = <code class="type">float</code> </pre>
<div class="info ">
The type of floating-point numbers.
<p>

   Floating-point numbers are the default representation of
   real numbers by OCaml.<br>
</div>

<br>
<h6 id="6_Usualoperations">Usual operations</h6><br>

<pre><span id="VALzero"><span class="keyword">val</span> zero</span> : <code class="type">float</code></pre><div class="info ">
Floating number zero. This is the same thing as <code class="code">0.</code><br>
</div>

<pre><span id="VALone"><span class="keyword">val</span> one</span> : <code class="type">float</code></pre><div class="info ">
Floating number one. This is the same thing as <code class="code">1.</code><br>
</div>

<pre><span id="VALneg"><span class="keyword">val</span> neg</span> : <code class="type">float -> float</code></pre><div class="info ">
Returns the negation of the input, i.e. (fun x -&gt; ~-. x)<br>
</div>

<pre><span id="VALsucc"><span class="keyword">val</span> succ</span> : <code class="type">float -> float</code></pre><div class="info ">
Add <code class="code">1.</code> to a floating number. Note that, as per IEEE 754,
    if <code class="code">x</code> is a large enough float number, <code class="code">succ x</code> might be
    equal to <code class="code">x</code>, due to rounding.<br>
</div>

<pre><span id="VALpred"><span class="keyword">val</span> pred</span> : <code class="type">float -> float</code></pre><div class="info ">
Substract <code class="code">1.</code> from a floating number. Note that, as per
    IEEE 754, if <code class="code">x</code> is a large enough float number, <code class="code">pred x</code>
    might be equal to <code class="code">x</code>, due to rounding.<br>
</div>

<pre><span id="VALabs"><span class="keyword">val</span> abs</span> : <code class="type">float -> float</code></pre><div class="info ">
The absolute value of a floating point number.<br>
</div>

<pre><span id="VALadd"><span class="keyword">val</span> add</span> : <code class="type">float -> float -> float</code></pre>
<pre><span id="VALsub"><span class="keyword">val</span> sub</span> : <code class="type">float -> float -> float</code></pre>
<pre><span id="VALmul"><span class="keyword">val</span> mul</span> : <code class="type">float -> float -> float</code></pre>
<pre><span id="VALdiv"><span class="keyword">val</span> div</span> : <code class="type">float -> float -> float</code></pre>
<pre><span id="VALmodulo"><span class="keyword">val</span> modulo</span> : <code class="type">float -> float -> float</code></pre>
<pre><span id="VALpow"><span class="keyword">val</span> pow</span> : <code class="type">float -> float -> float</code></pre>
<pre><span id="VALmin_num"><span class="keyword">val</span> min_num</span> : <code class="type">float</code></pre>
<pre><span id="VALmax_num"><span class="keyword">val</span> max_num</span> : <code class="type">float</code></pre>
<pre><span id="VALcompare"><span class="keyword">val</span> compare</span> : <code class="type">float -> float -> int</code></pre>
<pre><span id="VALequal"><span class="keyword">val</span> equal</span> : <code class="type">float -> float -> bool</code></pre>
<pre><span id="VALord"><span class="keyword">val</span> ord</span> : <code class="type">float -> float -> <a href="BatOrd.html#TYPEorder">BatOrd.order</a></code></pre>
<pre><span id="VALof_int"><span class="keyword">val</span> of_int</span> : <code class="type">int -> float</code></pre>
<pre><span id="VALto_int"><span class="keyword">val</span> to_int</span> : <code class="type">float -> int</code></pre>
<pre><span id="VALof_float"><span class="keyword">val</span> of_float</span> : <code class="type">float -> float</code></pre>
<pre><span id="VALto_float"><span class="keyword">val</span> to_float</span> : <code class="type">float -> float</code></pre>
<pre><span id="VALof_string"><span class="keyword">val</span> of_string</span> : <code class="type">string -> float</code></pre>
<pre><span id="VALto_string"><span class="keyword">val</span> to_string</span> : <code class="type">float -> string</code></pre>
<pre><span id="VAL(+)"><span class="keyword">val</span> (+)</span> : <code class="type"><a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a></code></pre>
<pre><span id="VAL(-)"><span class="keyword">val</span> (-)</span> : <code class="type"><a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a></code></pre>
<pre><span id="VAL( * )"><span class="keyword">val</span> ( * )</span> : <code class="type"><a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a></code></pre>
<pre><span id="VAL(/)"><span class="keyword">val</span> (/)</span> : <code class="type"><a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a></code></pre>
<pre><span id="VAL( ** )"><span class="keyword">val</span> ( ** )</span> : <code class="type"><a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a></code></pre>
<pre><span id="VALmin"><span class="keyword">val</span> min</span> : <code class="type">float -> float -> float</code></pre>
<pre><span id="VALmax"><span class="keyword">val</span> max</span> : <code class="type">float -> float -> float</code></pre>
<pre><span id="VAL(--)"><span class="keyword">val</span> (--)</span> : <code class="type"><a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a> <a href="BatEnum.html#TYPEt">BatEnum.t</a></code></pre>
<pre><span id="VAL(---)"><span class="keyword">val</span> (---)</span> : <code class="type"><a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a> -> <a href="BatFloat.html#TYPEt">t</a> <a href="BatEnum.html#TYPEt">BatEnum.t</a></code></pre>
<pre><span id="VALoperations"><span class="keyword">val</span> operations</span> : <code class="type"><a href="BatFloat.html#TYPEt">t</a> <a href="BatNumber.html#TYPEnumeric">BatNumber.numeric</a></code></pre><br>
<h6 id="6_Operationsspecifictofloatingpointnumbers">Operations specific to floating-point numbers</h6><br>

<pre><span id="VALsqrt"><span class="keyword">val</span> sqrt</span> : <code class="type">float -> float</code></pre><div class="info ">
Square root.<br>
</div>

<pre><span id="VALexp"><span class="keyword">val</span> exp</span> : <code class="type">float -> float</code></pre><div class="info ">
Exponential.<br>
</div>

<pre><span id="VALlog"><span class="keyword">val</span> log</span> : <code class="type">float -> float</code></pre><div class="info ">
Natural logarithm.<br>
</div>

<pre><span id="VALlog10"><span class="keyword">val</span> log10</span> : <code class="type">float -> float</code></pre><div class="info ">
Base 10 logarithm.<br>
</div>

<pre><span id="VALcos"><span class="keyword">val</span> cos</span> : <code class="type">float -> float</code></pre><div class="info ">
See <a href="BatFloat.html#VALatan2"><code class="code"><span class="constructor">BatFloat</span>.atan2</code></a>.<br>
</div>

<pre><span id="VALsin"><span class="keyword">val</span> sin</span> : <code class="type">float -> float</code></pre><div class="info ">
See <a href="BatFloat.html#VALatan2"><code class="code"><span class="constructor">BatFloat</span>.atan2</code></a>.<br>
</div>

<pre><span id="VALtan"><span class="keyword">val</span> tan</span> : <code class="type">float -> float</code></pre><div class="info ">
See <a href="BatFloat.html#VALatan2"><code class="code"><span class="constructor">BatFloat</span>.atan2</code></a>.<br>
</div>

<pre><span id="VALacos"><span class="keyword">val</span> acos</span> : <code class="type">float -> float</code></pre><div class="info ">
See <a href="BatFloat.html#VALatan2"><code class="code"><span class="constructor">BatFloat</span>.atan2</code></a>.<br>
</div>

<pre><span id="VALasin"><span class="keyword">val</span> asin</span> : <code class="type">float -> float</code></pre><div class="info ">
See <a href="BatFloat.html#VALatan2"><code class="code"><span class="constructor">BatFloat</span>.atan2</code></a>.<br>
</div>

<pre><span id="VALatan"><span class="keyword">val</span> atan</span> : <code class="type">float -> float</code></pre><div class="info ">
See <a href="BatFloat.html#VALatan2"><code class="code"><span class="constructor">BatFloat</span>.atan2</code></a>.<br>
</div>

<pre><span id="VALatan2"><span class="keyword">val</span> atan2</span> : <code class="type">float -> float -> float</code></pre><div class="info ">
The usual trigonometric functions.<br>
</div>

<pre><span id="VALcosh"><span class="keyword">val</span> cosh</span> : <code class="type">float -> float</code></pre><div class="info ">
See <a href="BatFloat.html#VALtanh"><code class="code"><span class="constructor">BatFloat</span>.tanh</code></a>.<br>
</div>

<pre><span id="VALsinh"><span class="keyword">val</span> sinh</span> : <code class="type">float -> float</code></pre><div class="info ">
See <a href="BatFloat.html#VALtanh"><code class="code"><span class="constructor">BatFloat</span>.tanh</code></a>.<br>
</div>

<pre><span id="VALtanh"><span class="keyword">val</span> tanh</span> : <code class="type">float -> float</code></pre><div class="info ">
The usual hyperbolic trigonometric functions.<br>
</div>

<pre><span id="VALceil"><span class="keyword">val</span> ceil</span> : <code class="type">float -> float</code></pre><div class="info ">
See <a href="BatFloat.html#VALfloor"><code class="code"><span class="constructor">BatFloat</span>.floor</code></a>.<br>
</div>

<pre><span id="VALfloor"><span class="keyword">val</span> floor</span> : <code class="type">float -> float</code></pre><div class="info ">
Round the given float to an integer value.
    <code class="code">floor f</code> returns the greatest integer value less than or
    equal to <code class="code">f</code>.
    <code class="code">ceil f</code> returns the least integer value greater than or
    equal to <code class="code">f</code>.<br>
</div>

<pre><span id="VALround"><span class="keyword">val</span> round</span> : <code class="type">float -> float</code></pre><div class="info ">
<code class="code">round x</code> rounds <code class="code">x</code> to the nearest integral floating-point
    (the nearest of <code class="code">floor x</code> and <code class="code">ceil x</code>). In case the fraction
    of x is exactly 0.5, we round away from 0. : <code class="code">round 1.5</code> is
    <code class="code">2.</code> but <code class="code">round (-3.5)</code> is <code class="code">-4.</code>.<br>
</div>

<pre><span id="VALround_to_int"><span class="keyword">val</span> round_to_int</span> : <code class="type">float -> int</code></pre><div class="info ">
<code class="code">round_to_int x</code> is <code class="code">int_of_float (round x)</code>.<br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALround_to_string"><span class="keyword">val</span> round_to_string</span> : <code class="type">?digits:int -> float -> string</code></pre><div class="info ">
<code class="code">round_to_string ~digits:d x</code> will return a string
    representation of <code class="code">x</code> -- in base 10 -- rounded to <code class="code">d</code> digits
    after the decimal point. By default, <code class="code">digits</code> is <code class="code">0</code>, we round
    to the nearest integer.<br>
<b>Since</b> 2.0<br>
<b>Raises</b> <code>Invalid_argument</code> if the ~digits argument is negative.
<p>

    This is strictly a convenience function for simple end-user
    printing and you should not rely on its behavior. One possible
    implementation is to rely on C `sprintf` internally, which
    means:
<p>
<ul>
<li>no guarantee is given on the round-at-half behavior; it may
    not be consistent with <code class="code">round</code> or <code class="code">round_to_int</code></li>
</ul>
<ul>
<li><code class="code">round_to_string ~digits:0 3.</code> may return "3" instead of
    "3." as <code class="code">string_of_float</code> would</li>
</ul>
<ul>
<li>no guarantee is given on the behavior for abusively high
    number of digits precision; for example <code class="code">round_to_string
    ~digits:max_int x</code> may return the empty string.</li>
</ul>
<br>
</div>

<pre><span id="VALroot"><span class="keyword">val</span> root</span> : <code class="type">float -> int -> float</code></pre><div class="info ">
<code class="code">root x n</code> calculates the nth root of x.<br>
<b>Raises</b> <code>Invalid_argument</code> if n is negative or if the result would
    be imaginary<br>
</div>

<pre><span id="VALsignbit"><span class="keyword">val</span> signbit</span> : <code class="type">float -> bool</code></pre><div class="info ">
<b>Since</b> 2.0<br>
<b>Returns</b> True if the sign bit of <code class="code">x</code> is set. This usually indicates thet <code class="code">x</code> is negative.<br>
</div>

<pre><span id="VALcopysign"><span class="keyword">val</span> copysign</span> : <code class="type">float -> float -> float</code></pre><div class="info ">
<code class="code">copysign x y</code> returns a copy of <code class="code">x</code> with the same sign as <code class="code">y</code>.<br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALis_nan"><span class="keyword">val</span> is_nan</span> : <code class="type">float -> bool</code></pre><div class="info ">
<code class="code">is_nan f</code> returns <code class="code"><span class="keyword">true</span></code> if <code class="code">f</code> is <code class="code">nan</code>, <code class="code"><span class="keyword">false</span></code> otherwise.<br>
</div>

<pre><span id="VALis_special"><span class="keyword">val</span> is_special</span> : <code class="type">float -> bool</code></pre><div class="info ">
<code class="code">is_special f</code> returns <code class="code"><span class="keyword">true</span></code> if <code class="code">f</code> is <code class="code">nan</code> or <code class="code">+/- infinity</code>,
    <code class="code"><span class="keyword">false</span></code> otherwise.<br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALis_finite"><span class="keyword">val</span> is_finite</span> : <code class="type">float -> bool</code></pre><div class="info ">
<code class="code">is_finite f</code> returns <code class="code"><span class="keyword">true</span></code> if <code class="code">f</code> is not <code class="code">nan</code> or <code class="code">+/- infinity</code>,
    <code class="code"><span class="keyword">false</span></code> otherwise.<br>
<b>Since</b> 2.0<br>
</div>
<br>
<h6 id="6_Constants">Constants</h6><br>
<br>
Special float constants.  It may not be safe to compare
    directly with these, as they have multiple internal
    representations.  Instead use the <code class="code">is_special</code>, <code class="code">is_nan</code>,
    etc. tests<br>

<pre><span id="VALinfinity"><span class="keyword">val</span> infinity</span> : <code class="type">float</code></pre><div class="info ">
Positive infinity.<br>
</div>

<pre><span id="VALneg_infinity"><span class="keyword">val</span> neg_infinity</span> : <code class="type">float</code></pre><div class="info ">
Negative infinity.<br>
</div>

<pre><span id="VALnan"><span class="keyword">val</span> nan</span> : <code class="type">float</code></pre><div class="info ">
A special floating-point value denoting the result of an
    undefined operation such as <code class="code">0.0 /. 0.0</code>.  Stands for ``not
    a number''.  Any floating-point operation with <code class="code">nan</code> as
    argument returns <code class="code">nan</code> as result.  As for floating-point
    comparisons, <code class="code">=</code>, <code class="code">&lt;</code>, <code class="code">&lt;=</code>, <code class="code">&gt;</code> and <code class="code">&gt;=</code> return <code class="code"><span class="keyword">false</span></code> and
    <code class="code">&lt;&gt;</code> returns <code class="code"><span class="keyword">true</span></code> if one or both of their arguments is
    <code class="code">nan</code>.<br>
</div>
<br>
Numeric constants<br>

<pre><span id="VALepsilon"><span class="keyword">val</span> epsilon</span> : <code class="type">float</code></pre><div class="info ">
The smallest positive float <code class="code">x</code> such that <code class="code">1.0 +. x &lt;&gt; 1.0</code>.<br>
</div>

<pre><span id="VALe"><span class="keyword">val</span> e</span> : <code class="type">float</code></pre><div class="info ">
Euler? ... Euler? ... Euler?<br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALlog2e"><span class="keyword">val</span> log2e</span> : <code class="type">float</code></pre><div class="info ">
<code class="code"><span class="constructor">Math</span>.log2 e</code><br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALlog10e"><span class="keyword">val</span> log10e</span> : <code class="type">float</code></pre><div class="info ">
<code class="code">log10 e</code><br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALln2"><span class="keyword">val</span> ln2</span> : <code class="type">float</code></pre><div class="info ">
<code class="code">log 2</code><br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALln10"><span class="keyword">val</span> ln10</span> : <code class="type">float</code></pre><div class="info ">
<code class="code">log 10</code><br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALpi"><span class="keyword">val</span> pi</span> : <code class="type">float</code></pre><div class="info ">
The constant pi (3.14159...)<br>
</div>

<pre><span id="VALpi2"><span class="keyword">val</span> pi2</span> : <code class="type">float</code></pre><div class="info ">
<code class="code">pi /. 2.</code><br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALpi4"><span class="keyword">val</span> pi4</span> : <code class="type">float</code></pre><div class="info ">
<code class="code">pi /. 4.</code><br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALinvpi"><span class="keyword">val</span> invpi</span> : <code class="type">float</code></pre><div class="info ">
<code class="code">1. /. pi</code><br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALinvpi2"><span class="keyword">val</span> invpi2</span> : <code class="type">float</code></pre><div class="info ">
<code class="code">2. /. pi</code><br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALsqrtpi2"><span class="keyword">val</span> sqrtpi2</span> : <code class="type">float</code></pre><div class="info ">
<code class="code">2. *. sqrt pi</code><br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALsqrt2"><span class="keyword">val</span> sqrt2</span> : <code class="type">float</code></pre><div class="info ">
<code class="code">sqrt 2.</code><br>
<b>Since</b> 2.0<br>
</div>

<pre><span id="VALinvsqrt2"><span class="keyword">val</span> invsqrt2</span> : <code class="type">float</code></pre><div class="info ">
<code class="code">1. /. sqrt 2.</code><br>
<b>Since</b> 2.0<br>
</div>
<br>
<h6 id="6_Operationsontheinternalrepresentationoffloatingpointnumbers">Operations on the internal representation of floating-point
    numbers</h6><br>

<pre><span id="VALfrexp"><span class="keyword">val</span> frexp</span> : <code class="type">float -> float * int</code></pre><div class="info ">
<code class="code">frexp f</code> returns the pair of the significant and the exponent
    of <code class="code">f</code>.  When <code class="code">f</code> is zero, the significant <code class="code">x</code> and the
    exponent <code class="code">n</code> of <code class="code">f</code> are equal to zero.  When <code class="code">f</code> is non-zero,
    they are defined by <code class="code">f = x *. 2 ** n</code> and <code class="code">0.5 &lt;= x &lt; 1.0</code>.<br>
</div>

<pre><span id="VALldexp"><span class="keyword">val</span> ldexp</span> : <code class="type">float -> int -> float</code></pre><div class="info ">
<code class="code">ldexp x n</code> returns <code class="code">x *. 2 ** n</code>.<br>
</div>

<pre><span id="VALmodf"><span class="keyword">val</span> modf</span> : <code class="type">float -> float * float</code></pre><div class="info ">
<code class="code">modf f</code> returns the pair of the fractional and integral
	  part of <code class="code">f</code>.<br>
</div>

<pre><span id="TYPEfpkind"><span class="keyword">type</span> <code class="type"></code>fpkind</span> = <code class="type">Pervasives.fpclass</code> = </pre><table class="typetable">
<tr>
<td align="left" valign="top" >
<code><span class="keyword">|</span></code></td>
<td align="left" valign="top" >
<code><span id="TYPEELTfpkind.FP_normal"><span class="constructor">FP_normal</span></span></code></td>
<td class="typefieldcomment" align="left" valign="top" ><code>(*</code></td><td class="typefieldcomment" align="left" valign="top" >Normal number, none of the below</td><td class="typefieldcomment" align="left" valign="bottom" ><code>*)</code></td>
</tr>
<tr>
<td align="left" valign="top" >
<code><span class="keyword">|</span></code></td>
<td align="left" valign="top" >
<code><span id="TYPEELTfpkind.FP_subnormal"><span class="constructor">FP_subnormal</span></span></code></td>
<td class="typefieldcomment" align="left" valign="top" ><code>(*</code></td><td class="typefieldcomment" align="left" valign="top" >Number very close to 0.0, has reduced precision</td><td class="typefieldcomment" align="left" valign="bottom" ><code>*)</code></td>
</tr>
<tr>
<td align="left" valign="top" >
<code><span class="keyword">|</span></code></td>
<td align="left" valign="top" >
<code><span id="TYPEELTfpkind.FP_zero"><span class="constructor">FP_zero</span></span></code></td>
<td class="typefieldcomment" align="left" valign="top" ><code>(*</code></td><td class="typefieldcomment" align="left" valign="top" >Number is 0.0 or -0.0</td><td class="typefieldcomment" align="left" valign="bottom" ><code>*)</code></td>
</tr>
<tr>
<td align="left" valign="top" >
<code><span class="keyword">|</span></code></td>
<td align="left" valign="top" >
<code><span id="TYPEELTfpkind.FP_infinite"><span class="constructor">FP_infinite</span></span></code></td>
<td class="typefieldcomment" align="left" valign="top" ><code>(*</code></td><td class="typefieldcomment" align="left" valign="top" >Number is positive or negative infinity</td><td class="typefieldcomment" align="left" valign="bottom" ><code>*)</code></td>
</tr>
<tr>
<td align="left" valign="top" >
<code><span class="keyword">|</span></code></td>
<td align="left" valign="top" >
<code><span id="TYPEELTfpkind.FP_nan"><span class="constructor">FP_nan</span></span></code></td>
<td class="typefieldcomment" align="left" valign="top" ><code>(*</code></td><td class="typefieldcomment" align="left" valign="top" >Not a number: result of an undefined operation</td><td class="typefieldcomment" align="left" valign="bottom" ><code>*)</code></td>
</tr></table>

<div class="info ">
Classes of floating point numbers
<p>
The five classes of floating-point numbers, as determined by
    the <a href="BatFloat.html#VALclassify"><code class="code"><span class="constructor">BatFloat</span>.classify</code></a> function.<br>
</div>


<pre><span id="VALclassify"><span class="keyword">val</span> classify</span> : <code class="type">float -> <a href="BatFloat.html#TYPEfpkind">fpkind</a></code></pre><div class="info ">
Return the class of the given floating-point number:
    normal, subnormal, zero, infinite, or not a number.<br>
</div>

<pre><span id="VALapprox_equal"><span class="keyword">val</span> approx_equal</span> : <code class="type">?epsilon:float -> float -> float -> bool</code></pre><div class="info ">
Test whether two floats are approximately equal (i.e. within
    epsilon of each other).  <code class="code">epsilon</code> defaults to 1e-5.<br>
</div>
<br>
<h6 id="6_Submodulesgroupingallinfixoperators">Submodules grouping all infix operators</h6><br>

<pre><span class="keyword">module</span> <a href="BatFloat.Infix.html">Infix</a>: <code class="code"><span class="keyword">sig</span></code> <a href="BatFloat.Infix.html">..</a> <code class="code"><span class="keyword">end</span></code></pre>
<pre><span class="keyword">module</span> <a href="BatFloat.Compare.html">Compare</a>: <code class="type"><a href="BatNumber.Compare.html">BatNumber.Compare</a></code><code class="type">  with type bat__compare_t = t</code></pre>
<pre><span class="keyword">include</span> <a href="BatNumber.RefOps.html">BatNumber.RefOps</a></pre>
<br>
<h6 id="6_Boilerplatecode">Boilerplate code</h6><br>

<pre><span id="VALprint"><span class="keyword">val</span> print</span> : <code class="type">(<a href="BatFloat.html#TYPEt">t</a>, 'a) <a href="BatIO.html#TYPEprinter">BatIO.printer</a></code></pre><div class="info ">
<div class="h7" id="7_Printing">Printing</div><br>
</div>

<pre><span class="keyword">module</span> <a href="BatFloat.Safe_float.html">Safe_float</a>: <code class="code"><span class="keyword">sig</span></code> <a href="BatFloat.Safe_float.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><div class="info">
Operations on floating-point numbers, with exceptions raised in
   case of error.
</div>
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