Module Stdlib.Bigarray

To each element kind is associated an OCaml type, which is the type of OCaml values that can be stored in the Bigarray or read back from it. This type is not necessarily the same as the type of the array elements proper: for instance, a Bigarray whose elements are of kind float32_elt contains 32-bit single precision floats, but reading or writing one of its elements from OCaml uses the OCaml type float, which is 64-bit double precision floats.

The GADT type ('a, 'b) kind captures this association of an OCaml type 'a for values read or written in the Bigarray, and of an element kind 'b which represents the actual contents of the Bigarray. Its constructors list all possible associations of OCaml types with element kinds, and are re-exported below for backward-compatibility reasons.

Using a generalized algebraic datatype (GADT) here allows writing well-typed polymorphic functions whose return type depend on the argument type, such as:

  let zero : type a b. (a, b) kind -> a = function
    | Float32 -> 0.0 | Complex32 -> Complex.zero
    | Float64 -> 0.0 | Complex64 -> Complex.zero
    | Int8_signed -> 0 | Int8_unsigned -> 0
    | Int16_signed -> 0 | Int16_unsigned -> 0
    | Int32 -> 0l | Int64 -> 0L
    | Int -> 0 | Nativeint -> 0n
    | Char -> '\000'

See Bigarray.char.

See Bigarray.char.

See Bigarray.char.

See Bigarray.char.

See Bigarray.char.

See Bigarray.char.

See Bigarray.char.

See Bigarray.char.

See Bigarray.char.

See Bigarray.char.

See Bigarray.char.

See Bigarray.char.

As shown by the types of the values above, Bigarrays of kind float32_elt and float64_elt are accessed using the OCaml type float. Bigarrays of complex kinds complex32_elt, complex64_elt are accessed with the OCaml type Complex.t. Bigarrays of integer kinds are accessed using the smallest OCaml integer type large enough to represent the array elements: int for 8- and 16-bit integer Bigarrays, as well as OCaml-integer Bigarrays; int32 for 32-bit integer Bigarrays; int64 for 64-bit integer Bigarrays; and nativeint for platform-native integer Bigarrays. Finally, Bigarrays of kind int8_unsigned_elt can also be accessed as arrays of characters instead of arrays of small integers, by using the kind value char instead of int8_unsigned.

kind_size_in_bytes k is the number of bytes used to store an element of type k.

See Bigarray.fortran_layout.

To facilitate interoperability with existing C and Fortran code, this library supports two different memory layouts for Bigarrays, one compatible with the C conventions, the other compatible with the Fortran conventions.

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 (x,y) and (x, y+1) are adjacent in memory.

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 (x,y) and (x+1, y) are adjacent in memory.

Each layout style is identified at the type level by the phantom types Bigarray.c_layout and Bigarray.fortran_layout respectively.

Return the generic Bigarray corresponding to the given zero-dimensional Bigarray.

Return the generic Bigarray corresponding to the given one-dimensional Bigarray.

Return the generic Bigarray corresponding to the given two-dimensional Bigarray.

Return the generic Bigarray corresponding to the given three-dimensional Bigarray.

Return the zero-dimensional Bigarray corresponding to the given generic Bigarray. Raise Invalid_argument if the generic Bigarray does not have exactly zero dimension.

Return the one-dimensional Bigarray corresponding to the given generic Bigarray. Raise Invalid_argument if the generic Bigarray does not have exactly one dimension.

Return the two-dimensional Bigarray corresponding to the given generic Bigarray. Raise Invalid_argument if the generic Bigarray does not have exactly two dimensions.

Return the three-dimensional Bigarray corresponding to the given generic Bigarray. Raise Invalid_argument if the generic Bigarray does not have exactly three dimensions.

reshape b [|d1;...;dN|] converts the Bigarray b to a N-dimensional array of dimensions d1...dN. The returned array and the original array b share their data and have the same layout. For instance, assuming that b is a one-dimensional array of dimension 12, reshape b [|3;4|] returns a two-dimensional array b' of dimensions 3 and 4. If b has C layout, the element (x,y) of b' corresponds to the element x * 3 + y of b. If b has Fortran layout, the element (x,y) of b' corresponds to the element x + (y - 1) * 4 of b. The returned Bigarray must have exactly the same number of elements as the original Bigarray b. That is, the product of the dimensions of b must be equal to i1 * ... * iN. Otherwise, Invalid_argument is raised.

Specialized version of Bigarray.reshape for reshaping to zero-dimensional arrays.

Specialized version of Bigarray.reshape for reshaping to one-dimensional arrays.

Specialized version of Bigarray.reshape for reshaping to two-dimensional arrays.

Specialized version of Bigarray.reshape for reshaping to three-dimensional arrays.