File: float.xml

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<?xml version="1.0" encoding="utf-8"?>
<!-- $Revision: 288721 $ -->
<sect1 xml:id="language.types.float">
 <title>Floating point numbers</title>

 <para>
  Floating point numbers (also known as "floats", "doubles", or "real numbers")
  can be specified using any of the following syntaxes:
 </para>

 <informalexample>
  <programlisting role="php">
<![CDATA[
<?php
$a = 1.234; 
$b = 1.2e3; 
$c = 7E-10;
?>
]]>
  </programlisting>
 </informalexample>

 <para>
  Formally:
 </para>

 <informalexample>
  <programlisting role="php">
<![CDATA[
LNUM          [0-9]+
DNUM          ([0-9]*[\.]{LNUM}) | ({LNUM}[\.][0-9]*)
EXPONENT_DNUM [+-]?(({LNUM} | {DNUM}) [eE][+-]? {LNUM})
]]>
  </programlisting>
 </informalexample>

 <para>
  The size of a float is platform-dependent, although a maximum of ~1.8e308 with
  a precision of roughly 14 decimal digits is a common value (the 64 bit IEEE
  format).
 </para>

 <warning xml:id="warn.float-precision">
  <title>Floating point precision</title>

  <para>
   It is typical that simple decimal fractions like <literal>0.1</literal> or
   <literal>0.7</literal> cannot be converted into their internal binary
   counterparts without a small loss of precision. This can lead to confusing
   results: for example, <literal>floor((0.1+0.7)*10)</literal> will usually
   return <literal>7</literal> instead of the expected <literal>8</literal>,
   since the internal representation will be something like
   <literal role="infdec">7.9</literal>.
  </para>

  <para>
   This is due to the fact that it is impossible to express some
   fractions in decimal notation with a finite number of digits. For instance,
   <literal>1/3</literal> in decimal form becomes
   <literal role="infdec">0.3</literal>.
  </para>

  <para>
   So never trust floating number results to the last digit, and never compare
   floating point numbers for equality. If higher precision is necessary,
   the <link linkend="ref.bc">arbitrary precision math functions</link> and
   <link linkend="ref.gmp">gmp</link> functions are available.
  </para>
 </warning>

 <sect2 xml:id="language.types.float.casting">
  <title>Converting to float</title>
  
  <para>
   For information on converting <type>string</type>s to <type>float</type>, see
   <link linkend="language.types.string.conversion">String conversion to
   numbers</link>. For values of other types, the conversion is performed by
   converting the value to <type>integer</type> first and then to
   <type>float</type>. See
   <link linkend="language.types.integer.casting">Converting to integer</link>
   for more information. As of PHP 5, a notice is thrown if an
   <type>object</type> is converted to <type>float</type>.
  </para>

 </sect2>
</sect1>

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