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href="#1_Genericarraysofarbitrarilymanydimensions"> <link title="Zero-dimensional arrays" rel="Section" href="#1_Zerodimensionalarrays"> <link title="One-dimensional arrays" rel="Section" href="#1_Onedimensionalarrays"> <link title="Two-dimensional arrays" rel="Section" href="#1_Twodimensionalarrays"> <link title="Three-dimensional arrays" rel="Section" href="#1_Threedimensionalarrays"> <link title="Coercions between generic big arrays and fixed-dimension big arrays" rel="Section" href="#1_Coercionsbetweengenericbigarraysandfixeddimensionbigarrays"> <link title="Re-shaping big arrays" rel="Section" href="#1_Reshapingbigarrays"> <link title="Supported layouts" rel="Subsection" href="#7_Supportedlayouts"> <title>Bigarray</title> </head> <body> <div class="navbar"><a class="pre" href="Attr_helper.html" title="Attr_helper">Previous</a> <a class="up" href="index.html" title="Index">Up</a> <a class="post" href="Buffer.html" title="Buffer">Next</a> </div> <h1>Module <a href="type_Bigarray.html">Bigarray</a></h1> <pre><span id="MODULEBigarray"><span class="keyword">module</span> Bigarray</span>: <code class="code"><span class="keyword">sig</span></code> <a href="Bigarray.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><div class="info module top"> <div class="info-desc"> <p>Large, multi-dimensional, numerical arrays.</p> <p>This module implements multi-dimensional arrays of integers and floating-point numbers, thereafter referred to as 'big arrays', to distinguish them from the standard OCaml arrays described in <a href="Array.html"><code class="code"><span class="constructor">Array</span></code></a>.</p> <p>The implementation allows efficient sharing of large numerical arrays between OCaml code and C or Fortran numerical libraries.</p> <p>The main differences between 'big arrays' and standard OCaml arrays are as follows:</p> <ul> <li>Big arrays are not limited in size, unlike OCaml arrays. (Normal float arrays are limited to 2,097,151 elements on a 32-bit platform, and normal arrays of other types to 4,194,303 elements.)</li> <li>Big arrays are multi-dimensional. Any number of dimensions between 0 and 16 is supported. In contrast, OCaml arrays are mono-dimensional and require encoding multi-dimensional arrays as arrays of arrays.</li> <li>Big arrays can only contain integers and floating-point numbers, while OCaml arrays can contain arbitrary OCaml data types.</li> <li>Big arrays provide more space-efficient storage of integer and floating-point elements than normal OCaml arrays, in particular because they support 'small' types such as single-precision floats and 8 and 16-bit integers, in addition to the standard OCaml types of double-precision floats and 32 and 64-bit integers.</li> <li>The memory layout of big arrays is entirely compatible with that of arrays in C and Fortran, allowing large arrays to be passed back and forth between OCaml code and C / Fortran code with no data copying at all.</li> <li>Big arrays support interesting high-level operations that normal arrays do not provide efficiently, such as extracting sub-arrays and 'slicing' a multi-dimensional array along certain dimensions, all without any copying.</li> </ul> <p>Users of this module are encouraged to do <code class="code"><span class="keyword">open</span> <span class="constructor">Bigarray</span></code> in their source, then refer to array types and operations via short dot notation, e.g. <code class="code"><span class="constructor">Array1</span>.t</code> or <code class="code"><span class="constructor">Array2</span>.sub</code>.</p> <p>Big arrays support all the OCaml ad-hoc polymorphic operations:</p> <ul> <li>comparisons (<code class="code">=</code>, <code class="code"><></code>, <code class="code"><=</code>, etc, as well as <a href="Pervasives.html#VALcompare"><code class="code">compare</code></a>);</li> <li>hashing (module <code class="code"><span class="constructor">Hash</span></code>);</li> <li>and structured input-output (the functions from the <a href="Marshal.html"><code class="code"><span class="constructor">Marshal</span></code></a> module, as well as <a href="Pervasives.html#VALoutput_value"><code class="code">output_value</code></a> and <a href="Pervasives.html#VALinput_value"><code class="code">input_value</code></a>).</li> </ul> </div> </div> <hr width="100%"> <h2 id="1_Elementkinds">Element kinds</h2><p>Big arrays can contain elements of the following kinds:</p> <ul> <li>IEEE single precision (32 bits) floating-point numbers (<a href="Bigarray.html#TYPEfloat32_elt"><code class="code"><span class="constructor">Bigarray</span>.float32_elt</code></a>),</li> <li>IEEE double precision (64 bits) floating-point numbers (<a href="Bigarray.html#TYPEfloat64_elt"><code class="code"><span class="constructor">Bigarray</span>.float64_elt</code></a>),</li> <li>IEEE single precision (2 * 32 bits) floating-point complex numbers (<a href="Bigarray.html#TYPEcomplex32_elt"><code class="code"><span class="constructor">Bigarray</span>.complex32_elt</code></a>),</li> <li>IEEE double precision (2 * 64 bits) floating-point complex numbers (<a href="Bigarray.html#TYPEcomplex64_elt"><code class="code"><span class="constructor">Bigarray</span>.complex64_elt</code></a>),</li> <li>8-bit integers (signed or unsigned) (<a href="Bigarray.html#TYPEint8_signed_elt"><code class="code"><span class="constructor">Bigarray</span>.int8_signed_elt</code></a> or <a href="Bigarray.html#TYPEint8_unsigned_elt"><code class="code"><span class="constructor">Bigarray</span>.int8_unsigned_elt</code></a>),</li> <li>16-bit integers (signed or unsigned) (<a href="Bigarray.html#TYPEint16_signed_elt"><code class="code"><span class="constructor">Bigarray</span>.int16_signed_elt</code></a> or <a href="Bigarray.html#TYPEint16_unsigned_elt"><code class="code"><span class="constructor">Bigarray</span>.int16_unsigned_elt</code></a>),</li> <li>OCaml integers (signed, 31 bits on 32-bit architectures, 63 bits on 64-bit architectures) (<a href="Bigarray.html#TYPEint_elt"><code class="code"><span class="constructor">Bigarray</span>.int_elt</code></a>),</li> <li>32-bit signed integers (<a href="Bigarray.html#TYPEint32_elt"><code class="code"><span class="constructor">Bigarray</span>.int32_elt</code></a>),</li> <li>64-bit signed integers (<a href="Bigarray.html#TYPEint64_elt"><code class="code"><span class="constructor">Bigarray</span>.int64_elt</code></a>),</li> <li>platform-native signed integers (32 bits on 32-bit architectures, 64 bits on 64-bit architectures) (<a href="Bigarray.html#TYPEnativeint_elt"><code class="code"><span class="constructor">Bigarray</span>.nativeint_elt</code></a>).</li> </ul> <p>Each element kind is represented at the type level by one of the <code class="code">*_elt</code> types defined below (defined with a single constructor instead of abstract types for technical injectivity reasons).</p> <pre><code><span id="TYPEfloat32_elt"><span class="keyword">type</span> <code class="type"></code>float32_elt</span> = </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="TYPEELTfloat32_elt.Float32_elt"><span class="constructor">Float32_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEfloat64_elt"><span class="keyword">type</span> <code class="type"></code>float64_elt</span> = </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="TYPEELTfloat64_elt.Float64_elt"><span class="constructor">Float64_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEint8_signed_elt"><span class="keyword">type</span> <code class="type"></code>int8_signed_elt</span> = </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="TYPEELTint8_signed_elt.Int8_signed_elt"><span class="constructor">Int8_signed_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEint8_unsigned_elt"><span class="keyword">type</span> <code class="type"></code>int8_unsigned_elt</span> = </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="TYPEELTint8_unsigned_elt.Int8_unsigned_elt"><span class="constructor">Int8_unsigned_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEint16_signed_elt"><span class="keyword">type</span> <code class="type"></code>int16_signed_elt</span> = </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="TYPEELTint16_signed_elt.Int16_signed_elt"><span class="constructor">Int16_signed_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEint16_unsigned_elt"><span class="keyword">type</span> <code class="type"></code>int16_unsigned_elt</span> = </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="TYPEELTint16_unsigned_elt.Int16_unsigned_elt"><span class="constructor">Int16_unsigned_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEint32_elt"><span class="keyword">type</span> <code class="type"></code>int32_elt</span> = </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="TYPEELTint32_elt.Int32_elt"><span class="constructor">Int32_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEint64_elt"><span class="keyword">type</span> <code class="type"></code>int64_elt</span> = </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="TYPEELTint64_elt.Int64_elt"><span class="constructor">Int64_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEint_elt"><span class="keyword">type</span> <code class="type"></code>int_elt</span> = </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="TYPEELTint_elt.Int_elt"><span class="constructor">Int_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEnativeint_elt"><span class="keyword">type</span> <code class="type"></code>nativeint_elt</span> = </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="TYPEELTnativeint_elt.Nativeint_elt"><span class="constructor">Nativeint_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEcomplex32_elt"><span class="keyword">type</span> <code class="type"></code>complex32_elt</span> = </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="TYPEELTcomplex32_elt.Complex32_elt"><span class="constructor">Complex32_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEcomplex64_elt"><span class="keyword">type</span> <code class="type"></code>complex64_elt</span> = </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="TYPEELTcomplex64_elt.Complex64_elt"><span class="constructor">Complex64_elt</span></span></code></td> </tr></table> <pre><code><span id="TYPEkind"><span class="keyword">type</span> <code class="type">('a, 'b)</code> kind</span> = </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="TYPEELTkind.Float32"><span class="constructor">Float32</span></span> <span class="keyword">:</span> <code class="type">(float, <a href="Bigarray.html#TYPEfloat32_elt">float32_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Float64"><span class="constructor">Float64</span></span> <span class="keyword">:</span> <code class="type">(float, <a href="Bigarray.html#TYPEfloat64_elt">float64_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Int8_signed"><span class="constructor">Int8_signed</span></span> <span class="keyword">:</span> <code class="type">(int, <a href="Bigarray.html#TYPEint8_signed_elt">int8_signed_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Int8_unsigned"><span class="constructor">Int8_unsigned</span></span> <span class="keyword">:</span> <code class="type">(int, <a href="Bigarray.html#TYPEint8_unsigned_elt">int8_unsigned_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Int16_signed"><span class="constructor">Int16_signed</span></span> <span class="keyword">:</span> <code class="type">(int, <a href="Bigarray.html#TYPEint16_signed_elt">int16_signed_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Int16_unsigned"><span class="constructor">Int16_unsigned</span></span> <span class="keyword">:</span> <code class="type">(int, <a href="Bigarray.html#TYPEint16_unsigned_elt">int16_unsigned_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Int32"><span class="constructor">Int32</span></span> <span class="keyword">:</span> <code class="type">(int32, <a href="Bigarray.html#TYPEint32_elt">int32_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Int64"><span class="constructor">Int64</span></span> <span class="keyword">:</span> <code class="type">(int64, <a href="Bigarray.html#TYPEint64_elt">int64_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Int"><span class="constructor">Int</span></span> <span class="keyword">:</span> <code class="type">(int, <a href="Bigarray.html#TYPEint_elt">int_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Nativeint"><span class="constructor">Nativeint</span></span> <span class="keyword">:</span> <code class="type">(nativeint, <a href="Bigarray.html#TYPEnativeint_elt">nativeint_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Complex32"><span class="constructor">Complex32</span></span> <span class="keyword">:</span> <code class="type">(<a href="Complex.html#TYPEt">Complex.t</a>, <a href="Bigarray.html#TYPEcomplex32_elt">complex32_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Complex64"><span class="constructor">Complex64</span></span> <span class="keyword">:</span> <code class="type">(<a href="Complex.html#TYPEt">Complex.t</a>, <a href="Bigarray.html#TYPEcomplex64_elt">complex64_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></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="TYPEELTkind.Char"><span class="constructor">Char</span></span> <span class="keyword">:</span> <code class="type">(char, <a href="Bigarray.html#TYPEint8_unsigned_elt">int8_unsigned_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></code></td> </tr></table> <div class="info "> <div class="info-desc"> <p>To each element kind is associated an OCaml type, which is the type of OCaml values that can be stored in the big array or read back from it. This type is not necessarily the same as the type of the array elements proper: for instance, a big array whose elements are of kind <code class="code">float32_elt</code> contains 32-bit single precision floats, but reading or writing one of its elements from OCaml uses the OCaml type <code class="code">float</code>, which is 64-bit double precision floats.</p> <p>The GADT type <code class="code">(<span class="keywordsign">'</span>a, <span class="keywordsign">'</span>b) kind</code> captures this association of an OCaml type <code class="code"><span class="keywordsign">'</span>a</code> for values read or written in the big array, and of an element kind <code class="code"><span class="keywordsign">'</span>b</code> which represents the actual contents of the big array. Its constructors list all possible associations of OCaml types with element kinds, and are re-exported below for backward-compatibility reasons.</p> <p>Using a generalized algebraic datatype (GADT) here allows to write well-typed polymorphic functions whose return type depend on the argument type, such as:</p> <pre class="codepre"><code class="code"> <span class="keyword">let</span> zero : <span class="keyword">type</span> a b. (a, b) kind <span class="keywordsign">-></span> a = <span class="keyword">function</span> <span class="keywordsign">|</span> <span class="constructor">Float32</span> <span class="keywordsign">-></span> 0.0 <span class="keywordsign">|</span> <span class="constructor">Complex32</span> <span class="keywordsign">-></span> <span class="constructor">Complex</span>.zero <span class="keywordsign">|</span> <span class="constructor">Float64</span> <span class="keywordsign">-></span> 0.0 <span class="keywordsign">|</span> <span class="constructor">Complex64</span> <span class="keywordsign">-></span> <span class="constructor">Complex</span>.zero <span class="keywordsign">|</span> <span class="constructor">Int8_signed</span> <span class="keywordsign">-></span> 0 <span class="keywordsign">|</span> <span class="constructor">Int8_unsigned</span> <span class="keywordsign">-></span> 0 <span class="keywordsign">|</span> <span class="constructor">Int16_signed</span> <span class="keywordsign">-></span> 0 <span class="keywordsign">|</span> <span class="constructor">Int16_unsigned</span> <span class="keywordsign">-></span> 0 <span class="keywordsign">|</span> <span class="constructor">Int32</span> <span class="keywordsign">-></span> 0l <span class="keywordsign">|</span> <span class="constructor">Int64</span> <span class="keywordsign">-></span> 0<span class="constructor">L</span> <span class="keywordsign">|</span> <span class="constructor">Int</span> <span class="keywordsign">-></span> 0 <span class="keywordsign">|</span> <span class="constructor">Nativeint</span> <span class="keywordsign">-></span> 0n <span class="keywordsign">|</span> <span class="constructor">Char</span> <span class="keywordsign">-></span> <span class="string">'\000'</span> </code></pre></div> </div> <pre><span id="VALfloat32"><span class="keyword">val</span> float32</span> : <code class="type">(float, <a href="Bigarray.html#TYPEfloat32_elt">float32_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALfloat64"><span class="keyword">val</span> float64</span> : <code class="type">(float, <a href="Bigarray.html#TYPEfloat64_elt">float64_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALcomplex32"><span class="keyword">val</span> complex32</span> : <code class="type">(<a href="Complex.html#TYPEt">Complex.t</a>, <a href="Bigarray.html#TYPEcomplex32_elt">complex32_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALcomplex64"><span class="keyword">val</span> complex64</span> : <code class="type">(<a href="Complex.html#TYPEt">Complex.t</a>, <a href="Bigarray.html#TYPEcomplex64_elt">complex64_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALint8_signed"><span class="keyword">val</span> int8_signed</span> : <code class="type">(int, <a href="Bigarray.html#TYPEint8_signed_elt">int8_signed_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALint8_unsigned"><span class="keyword">val</span> int8_unsigned</span> : <code class="type">(int, <a href="Bigarray.html#TYPEint8_unsigned_elt">int8_unsigned_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALint16_signed"><span class="keyword">val</span> int16_signed</span> : <code class="type">(int, <a href="Bigarray.html#TYPEint16_signed_elt">int16_signed_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALint16_unsigned"><span class="keyword">val</span> int16_unsigned</span> : <code class="type">(int, <a href="Bigarray.html#TYPEint16_unsigned_elt">int16_unsigned_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALint"><span class="keyword">val</span> int</span> : <code class="type">(int, <a href="Bigarray.html#TYPEint_elt">int_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALint32"><span class="keyword">val</span> int32</span> : <code class="type">(int32, <a href="Bigarray.html#TYPEint32_elt">int32_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALint64"><span class="keyword">val</span> int64</span> : <code class="type">(int64, <a href="Bigarray.html#TYPEint64_elt">int64_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALnativeint"><span class="keyword">val</span> nativeint</span> : <code class="type">(nativeint, <a href="Bigarray.html#TYPEnativeint_elt">nativeint_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALchar"><code class="code"><span class="constructor">Bigarray</span>.char</code></a>.</p> </div> </div> <pre><span id="VALchar"><span class="keyword">val</span> char</span> : <code class="type">(char, <a href="Bigarray.html#TYPEint8_unsigned_elt">int8_unsigned_elt</a>) <a href="Bigarray.html#TYPEkind">kind</a></code></pre><div class="info "> <div class="info-desc"> <p>As shown by the types of the values above, big arrays of kind <code class="code">float32_elt</code> and <code class="code">float64_elt</code> are accessed using the OCaml type <code class="code">float</code>. Big arrays of complex kinds <code class="code">complex32_elt</code>, <code class="code">complex64_elt</code> are accessed with the OCaml type <a href="Complex.html#TYPEt"><code class="code"><span class="constructor">Complex</span>.t</code></a>. Big arrays of integer kinds are accessed using the smallest OCaml integer type large enough to represent the array elements: <code class="code">int</code> for 8- and 16-bit integer bigarrays, as well as OCaml-integer bigarrays; <code class="code">int32</code> for 32-bit integer bigarrays; <code class="code">int64</code> for 64-bit integer bigarrays; and <code class="code">nativeint</code> for platform-native integer bigarrays. Finally, big arrays of kind <code class="code">int8_unsigned_elt</code> can also be accessed as arrays of characters instead of arrays of small integers, by using the kind value <code class="code">char</code> instead of <code class="code">int8_unsigned</code>.</p> </div> </div> <pre><span id="VALkind_size_in_bytes"><span class="keyword">val</span> kind_size_in_bytes</span> : <code class="type">('a, 'b) <a href="Bigarray.html#TYPEkind">kind</a> -> int</code></pre><div class="info "> <div class="info-desc"> <p><code class="code">kind_size_in_bytes k</code> is the number of bytes used to store an element of type <code class="code">k</code>.</p> </div> <ul class="info-attributes"> <li><b>Since</b> 4.03.0</li> </ul> </div> <h2 id="1_Arraylayouts">Array layouts</h2> <pre><code><span id="TYPEc_layout"><span class="keyword">type</span> <code class="type"></code>c_layout</span> = </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="TYPEELTc_layout.C_layout_typ"><span class="constructor">C_layout_typ</span></span></code></td> </tr></table> <div class="info "> <div class="info-desc"> <p>See <a href="Bigarray.html#VALfortran_layout"><code class="code"><span class="constructor">Bigarray</span>.fortran_layout</code></a>.</p> </div> </div> <pre><code><span id="TYPEfortran_layout"><span class="keyword">type</span> <code class="type"></code>fortran_layout</span> = </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="TYPEELTfortran_layout.Fortran_layout_typ"><span class="constructor">Fortran_layout_typ</span></span></code></td> </tr></table> <div class="info "> <div class="info-desc"> <p>To facilitate interoperability with existing C and Fortran code, this library supports two different memory layouts for big arrays, one compatible with the C conventions, the other compatible with the Fortran conventions.</p> <p>In the C-style layout, array indices start at 0, and multi-dimensional arrays are laid out in row-major format. That is, for a two-dimensional array, all elements of row 0 are contiguous in memory, followed by all elements of row 1, etc. In other terms, the array elements at <code class="code">(x,y)</code> and <code class="code">(x, y+1)</code> are adjacent in memory.</p> <p>In the Fortran-style layout, array indices start at 1, and multi-dimensional arrays are laid out in column-major format. That is, for a two-dimensional array, all elements of column 0 are contiguous in memory, followed by all elements of column 1, etc. In other terms, the array elements at <code class="code">(x,y)</code> and <code class="code">(x+1, y)</code> are adjacent in memory.</p> <p>Each layout style is identified at the type level by the phantom types <a href="Bigarray.html#VALc_layout"><code class="code"><span class="constructor">Bigarray</span>.c_layout</code></a> and <a href="Bigarray.html#VALfortran_layout"><code class="code"><span class="constructor">Bigarray</span>.fortran_layout</code></a> respectively.</p> </div> </div> <div class="h8" id="7_Supportedlayouts">Supported layouts</div> <p>The GADT type <code class="code"><span class="keywordsign">'</span>a layout</code> represents one of the two supported memory layouts: C-style or Fortran-style. Its constructors are re-exported as values below for backward-compatibility reasons.</p> <pre><code><span id="TYPElayout"><span class="keyword">type</span> <code class="type">'a</code> layout</span> = </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="TYPEELTlayout.C_layout"><span class="constructor">C_layout</span></span> <span class="keyword">:</span> <code class="type"><a href="Bigarray.html#TYPEc_layout">c_layout</a> <a href="Bigarray.html#TYPElayout">layout</a></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="TYPEELTlayout.Fortran_layout"><span class="constructor">Fortran_layout</span></span> <span class="keyword">:</span> <code class="type"><a href="Bigarray.html#TYPEfortran_layout">fortran_layout</a> <a href="Bigarray.html#TYPElayout">layout</a></code></code></td> </tr></table> <pre><span id="VALc_layout"><span class="keyword">val</span> c_layout</span> : <code class="type"><a href="Bigarray.html#TYPEc_layout">c_layout</a> <a href="Bigarray.html#TYPElayout">layout</a></code></pre> <pre><span id="VALfortran_layout"><span class="keyword">val</span> fortran_layout</span> : <code class="type"><a href="Bigarray.html#TYPEfortran_layout">fortran_layout</a> <a href="Bigarray.html#TYPElayout">layout</a></code></pre><h2 id="1_Genericarraysofarbitrarilymanydimensions">Generic arrays (of arbitrarily many dimensions)</h2> <pre><span id="MODULEGenarray"><span class="keyword">module</span> <a href="Bigarray.Genarray.html">Genarray</a></span>: <code class="code"><span class="keyword">sig</span></code> <a href="Bigarray.Genarray.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><h2 id="1_Zerodimensionalarrays">Zero-dimensional arrays</h2> <pre><span id="MODULEArray0"><span class="keyword">module</span> <a href="Bigarray.Array0.html">Array0</a></span>: <code class="code"><span class="keyword">sig</span></code> <a href="Bigarray.Array0.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><div class="info"> <p>Zero-dimensional arrays.</p> </div> <h2 id="1_Onedimensionalarrays">One-dimensional arrays</h2> <pre><span id="MODULEArray1"><span class="keyword">module</span> <a href="Bigarray.Array1.html">Array1</a></span>: <code class="code"><span class="keyword">sig</span></code> <a href="Bigarray.Array1.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><div class="info"> <p>One-dimensional arrays.</p> </div> <h2 id="1_Twodimensionalarrays">Two-dimensional arrays</h2> <pre><span id="MODULEArray2"><span class="keyword">module</span> <a href="Bigarray.Array2.html">Array2</a></span>: <code class="code"><span class="keyword">sig</span></code> <a href="Bigarray.Array2.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><div class="info"> <p>Two-dimensional arrays.</p> </div> <h2 id="1_Threedimensionalarrays">Three-dimensional arrays</h2> <pre><span id="MODULEArray3"><span class="keyword">module</span> <a href="Bigarray.Array3.html">Array3</a></span>: <code class="code"><span class="keyword">sig</span></code> <a href="Bigarray.Array3.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><div class="info"> <p>Three-dimensional arrays.</p> </div> <h2 id="1_Coercionsbetweengenericbigarraysandfixeddimensionbigarrays">Coercions between generic big arrays and fixed-dimension big arrays</h2> <pre><span id="VALgenarray_of_array0"><span class="keyword">val</span> genarray_of_array0</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Array0.html#TYPEt">Array0.t</a> -> ('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Return the generic big array corresponding to the given zero-dimensional big array.</p> </div> <ul class="info-attributes"> <li><b>Since</b> 4.05.0</li> </ul> </div> <pre><span id="VALgenarray_of_array1"><span class="keyword">val</span> genarray_of_array1</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Array1.html#TYPEt">Array1.t</a> -> ('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Return the generic big array corresponding to the given one-dimensional big array.</p> </div> </div> <pre><span id="VALgenarray_of_array2"><span class="keyword">val</span> genarray_of_array2</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Array2.html#TYPEt">Array2.t</a> -> ('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Return the generic big array corresponding to the given two-dimensional big array.</p> </div> </div> <pre><span id="VALgenarray_of_array3"><span class="keyword">val</span> genarray_of_array3</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Array3.html#TYPEt">Array3.t</a> -> ('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Return the generic big array corresponding to the given three-dimensional big array.</p> </div> </div> <pre><span id="VALarray0_of_genarray"><span class="keyword">val</span> array0_of_genarray</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a> -> ('a, 'b, 'c) <a href="Bigarray.Array0.html#TYPEt">Array0.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Return the zero-dimensional big array corresponding to the given generic big array. Raise <code class="code"><span class="constructor">Invalid_argument</span></code> if the generic big array does not have exactly zero dimension.</p> </div> <ul class="info-attributes"> <li><b>Since</b> 4.05.0</li> </ul> </div> <pre><span id="VALarray1_of_genarray"><span class="keyword">val</span> array1_of_genarray</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a> -> ('a, 'b, 'c) <a href="Bigarray.Array1.html#TYPEt">Array1.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Return the one-dimensional big array corresponding to the given generic big array. Raise <code class="code"><span class="constructor">Invalid_argument</span></code> if the generic big array does not have exactly one dimension.</p> </div> </div> <pre><span id="VALarray2_of_genarray"><span class="keyword">val</span> array2_of_genarray</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a> -> ('a, 'b, 'c) <a href="Bigarray.Array2.html#TYPEt">Array2.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Return the two-dimensional big array corresponding to the given generic big array. Raise <code class="code"><span class="constructor">Invalid_argument</span></code> if the generic big array does not have exactly two dimensions.</p> </div> </div> <pre><span id="VALarray3_of_genarray"><span class="keyword">val</span> array3_of_genarray</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a> -> ('a, 'b, 'c) <a href="Bigarray.Array3.html#TYPEt">Array3.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Return the three-dimensional big array corresponding to the given generic big array. Raise <code class="code"><span class="constructor">Invalid_argument</span></code> if the generic big array does not have exactly three dimensions.</p> </div> </div> <h2 id="1_Reshapingbigarrays">Re-shaping big arrays</h2> <pre><span id="VALreshape"><span class="keyword">val</span> reshape</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a> -><br> int array -> ('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a></code></pre><div class="info "> <div class="info-desc"> <p><code class="code">reshape b [|d1;...;dN|]</code> converts the big array <code class="code">b</code> to a <code class="code"><span class="constructor">N</span></code>-dimensional array of dimensions <code class="code">d1</code>...<code class="code">dN</code>. The returned array and the original array <code class="code">b</code> share their data and have the same layout. For instance, assuming that <code class="code">b</code> is a one-dimensional array of dimension 12, <code class="code">reshape b [|3;4|]</code> returns a two-dimensional array <code class="code">b'</code> of dimensions 3 and 4. If <code class="code">b</code> has C layout, the element <code class="code">(x,y)</code> of <code class="code">b'</code> corresponds to the element <code class="code">x * 3 + y</code> of <code class="code">b</code>. If <code class="code">b</code> has Fortran layout, the element <code class="code">(x,y)</code> of <code class="code">b'</code> corresponds to the element <code class="code">x + (y - 1) * 4</code> of <code class="code">b</code>. The returned big array must have exactly the same number of elements as the original big array <code class="code">b</code>. That is, the product of the dimensions of <code class="code">b</code> must be equal to <code class="code">i1 * ... * iN</code>. Otherwise, <code class="code"><span class="constructor">Invalid_argument</span></code> is raised.</p> </div> </div> <pre><span id="VALreshape_0"><span class="keyword">val</span> reshape_0</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a> -> ('a, 'b, 'c) <a href="Bigarray.Array0.html#TYPEt">Array0.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Specialized version of <a href="Bigarray.html#VALreshape"><code class="code"><span class="constructor">Bigarray</span>.reshape</code></a> for reshaping to zero-dimensional arrays.</p> </div> <ul class="info-attributes"> <li><b>Since</b> 4.05.0</li> </ul> </div> <pre><span id="VALreshape_1"><span class="keyword">val</span> reshape_1</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a> -> int -> ('a, 'b, 'c) <a href="Bigarray.Array1.html#TYPEt">Array1.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Specialized version of <a href="Bigarray.html#VALreshape"><code class="code"><span class="constructor">Bigarray</span>.reshape</code></a> for reshaping to one-dimensional arrays.</p> </div> </div> <pre><span id="VALreshape_2"><span class="keyword">val</span> reshape_2</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a> -><br> int -> int -> ('a, 'b, 'c) <a href="Bigarray.Array2.html#TYPEt">Array2.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Specialized version of <a href="Bigarray.html#VALreshape"><code class="code"><span class="constructor">Bigarray</span>.reshape</code></a> for reshaping to two-dimensional arrays.</p> </div> </div> <pre><span id="VALreshape_3"><span class="keyword">val</span> reshape_3</span> : <code class="type">('a, 'b, 'c) <a href="Bigarray.Genarray.html#TYPEt">Genarray.t</a> -><br> int -> int -> int -> ('a, 'b, 'c) <a href="Bigarray.Array3.html#TYPEt">Array3.t</a></code></pre><div class="info "> <div class="info-desc"> <p>Specialized version of <a href="Bigarray.html#VALreshape"><code class="code"><span class="constructor">Bigarray</span>.reshape</code></a> for reshaping to three-dimensional arrays.</p> </div> </div> </body></html>